Please help! What is the volume? Answer and explanation please! <3 (No links please..)

V = ____ pi inches cubed

Please Help! What Is The Volume? Answer And Explanation Please! &lt;3 (No Links Please..)V = ____ Pi

Answers

Answer 1

9514 1404 393

Answer:

  562.5π in³

Step-by-step explanation:

The volume of a sphere is given by the formula ...

  V = 4/3πr³

where r is the radius, half the diameter.

  V = (4/3)π(7.5 in)³ = 562.5π in³


Related Questions

NO LINKS!!
A principal P, invested 9.5% compounded continuously, increases to an amount K times the original principal after t years, where t = ln(K)/0.095.

a. Complete the table. (Round your answers to one decimal place)

K t
1
2
3
4
6
8
10
12


b. Sketch the graph of the function.

Answers

Answer:

[tex]\begin{array}{|c|c|}\cline{1-2}\vphantom{\dfrac12} K & t\\\cline{1-2} \vphantom{\dfrac12} 1 & 0\\\vphantom{\dfrac12} 2 & 7.3\\\vphantom{\dfrac12} 3&11.6 \\\vphantom{\dfrac12} 4& 14.6\\\vphantom{\dfrac12} 6&18.9 \\\vphantom{\dfrac12} 8& 21.9\\\vphantom{\dfrac12} 10& 24.2\\\vphantom{\dfrac12} 12&26.2\\ \cline{1-2}\end{array}[/tex]

See attachment for the graph.

Step-by-step explanation:    

Part (a)

Given equation for t:

[tex]t=\dfrac{\ln (K)}{0.095}[/tex]

Substitute the given values of K into the equation for t and round the answers to one decimal place:

[tex]\begin{array}{|c|c|}\cline{1-2}\vphantom{\dfrac12} K & t\\\cline{1-2} \vphantom{\dfrac12} 1 & 0\\\vphantom{\dfrac12} 2 & 7.3\\\vphantom{\dfrac12} 3&11.6 \\\vphantom{\dfrac12} 4& 14.6\\\vphantom{\dfrac12} 6&18.9 \\\vphantom{\dfrac12} 8& 21.9\\\vphantom{\dfrac12} 10& 24.2\\\vphantom{\dfrac12} 12&26.2\\ \cline{1-2}\end{array}[/tex]

Part (b)

To sketch the graph of the given function (see attachment):

Plot the values of K along the x-axis.Plot the values of t along the y-axis.Plot the points from the table from part (a).Draw a curve through the plotted points.

Please Help. Thank you

Answers

Answer:

Look below

Step-by-step explanation:

Example for A

1/5 y= 3/5 x

1/5 y= 3/5 x +4

Example for B

0x=0y

0x=0y+3

Answer for C

add statement for the y not to be equal to 0

Determine if the following equation has one, none, or many solutions
3x-6=x+6-5x

Answers

The equation 3x - 6 = x + 6 - 5x has one solution, which is x = 12/7.

What is an equation?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equation is,

3x - 6 = x + 6 - 5x

To determine the solutions, solve the equation,

3x - 6 = 6 - 4x

7x = 12

x = 12/ 7

The equation has one solution, which is 12/7.

To know more about Equation on:

https://brainly.com/question/187506

#SPJ1

which of the following pearson correlations shows the greatest strength or consistency of relationship? 0.85 0.95 -0.35 -0.70

Answers

0.95 is Pearson correlation shows the greatest strength or consistency of relationship

Pearson correlation is a statistic measuring the linear interdependence between two variables or two sets of data.

The value of correlation coefficient must be between -1.00 and +1.00 that  measures the strength and direction of the relationship between two variables.

When one variable changes, the other variable changes in the same direction.

The closer to either indicates a stronger relationship or the greatest strength or the consistency of the relationship.

The strongest must be 0.95. It is a strong positive correlation.

The correct answer is = 0.95

For more questions on Pearson correlations

https://brainly.com/question/28316863

#SPJ4

Find the value of x.
If necessary, you may learn what the markings on a figure indicate.
Check

71°
X
x =

Answers

Tables and figures must all be labelled with numbered captions that clearly identify and describe them.

What do the marks on shapes mean?Little tick marks are used to show that two sides are the same length (congruent). You can use just one tick mark, two or three or more -- just as long as you use the same number on sides that are equal. Notation for congruent angles in a triangle: This works a lot like congruent sides Tick marks (shown in orange) indicate sides of a shape that have equal length (sides of a shape that are congruent or that match). The single lines show that the two vertical lines are the same length while the double lines show that the two diagonal lines are the same length.We mark the congruent sides by a slash mark. The angles in an equilateral triangle are always 60°. When a triangle has two congruent sides it is called an isosceles triangle.While "hash marks" are used to represent segments of equal length on diagrams, "arcs" are used to represent angles of equal measure.Indicator marks for sides and angles in a triangle diagram. Indicator marks are used to show whether two or more sides are congruent (equal in measure).

x = 61

Left hand triangle containing 1 angle of 74

Label the other angle opposite the marked side also as 74

Find the third angle. Call it y.

y + 74 + 74 = 180           Combine like terms

y + 148 = 180                 Subtract 148 from both sides.

y = 180 - 148

y = 32

Now work with the triangle on the right.

label the angle making up the right angle = z

32 + z = 90                             These two angles are complementary = 90

32 - 32 + z = 90 - 32              Subtract 32 from both sides

z = 58                                      Use 58 wherever you see z

x + x + z = 180                         Substitute

2x + 58 = 180                          Subtract 58 from both sides

2x = 122                                  Divide by 2

x = 61

To learn more about marking and figure refer to:

https://brainly.com/question/29037337

#SPJ1

DEF is shown on the coordinate plane below.

D(-9,8)
E(9,5)
F(-5,-9)
What is the perimeter of DEF? If necessary, round your answer to the nearest tenth.

Answers

Answer:

55.5

Step-by-step explanation:

[tex]DE=\sqrt{(-9-9)^2+(8-5)^2}=\sqrt{333} \\ \\ DF=\sqrt{(-9-(-5))^2+(-9-8)^2}=\sqrt{305} \\ \\ EF=\sqrt{(-5-9)^2+(-9-5)^2}=\sqrt{392}[/tex]

The perimeter is thus [tex]\sqrt{333}+\sqrt{305}+\sqrt{392} \approx 55.5[/tex].

Is (1, 4) a solution to this system of equations?
y = x + 9
y = 10x + 7
yes
Submit
no

Answers

Answer:

no

Step-by-step explanation

y=x+9

4=1+9

1+9=10

10 is not equal to 4

y=10x+7

=40+7

47 does not equal 4

What is the value of c?
c= ? °

Answers

Answer:

c = 50°

Step-by-step explanation:

Since Triangle QRP is an isosceles triangle, the base angles of the triangle are equal.

Angle RQP = 180 - 115

= 65° (sum of angles on straight line)

Angle RPQ = Angle RQP = 65°

c = 180 - 65 - 65

= 50° (sum of angles in a triangle)

let's find.
[tex] \frac{3}{4} - \frac{1}{6} [/tex]

Answers

When adding and subtracting fractions, we need to get the denominators to be the same. This process is called finding the Least Common Multiple (LCM) of both numbers in the denominators. The LCM is the lowest number that 4 and 6 can form through factors.

So, we need to find the LCM of 4 and 6, so we’ll list the multiples of both numbers to find a common factor.

LCM of 4 and 6:

4: 4, 8, 12, 16

4•1=4, 4•2=8, 4•3=12, and 4•4=15

6: 6, 12, 18

6•1=6, 6•2=12, 6•3=18

The LCM is the product of two factors of different numbers. Looking at the list, the least common multiple is 12 because 12 is a product of two factors of 4 and 6. Therefore, the goal is to get both denominators equal to 12 through multiplication.

3/4 - 1/6

To do this, we need to multiply each fraction by a factor that produces 12. We know that 4•3=12 and 6•2=12, meaning to get 12 as both denominators, we must multiply 3/4 by 3 and 1/6 by 2. Remember, to preserver the fraction’s proportionality, we need to multiply the entire fraction by these factors, meaning the numerator and denominator.

3•3/4•3 - 2•1/2•6

Because 4•3=12 and 6•2=12, the denominators will both be twelve, but the numerators of both fractions also must be multiplied.

9/12 - 2/12

Now that we have common denominators, we can subtract the fractions. The rule for subtracting and adding fractions is to add the denominators and keep the denominators untouched.

9/12 - 2/12 = 9-2/12

Answer: 7/12

Help me out pls someone

Answers

Uhhhhhh Uhhhhhh Uhhhhhh 2
If you convert all of the fractions to tenths, the whole problem becomes much easier. Take it one step at a time.
Convert 1/2 to 5/10 and 1/5 to 2/10.
Now subtract from left to right. Start with the whole numbers, 9 and 6.
9-6=3, move on the their fractions, 8/10 - 5/10 =3/10.
So now you have 3 3/10. Subtract the last number from your answer. 3-1=2 and 3/10 - 2/10= 1/10.
So your final answer would be 2 1/10

Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value. f(x) = x² - 2x - 7 O minimum; -8 Omaximum: 1 O minimum; 1 O maximum; -8

Answers

Quadratic function has minimum value which is -8.

correct option: 1

What is quadratic equation?

A variable with the largest power of two in a quadratic equation is called a variable. Quad, which signifies square, is the root of the term quadratic. The phrase must be two times its own strength, neither higher nor lower.

Given that they are the x values for which f(x) = 0, the roots of the function f(x) = ax² + bx + c correspond to the solutions of the quadratic equation ax² + bx + c = 0.

The term ax² is known as the quadratic term (hence the function's name), the word bx is known as the linear term, and the value c is known as the constant term.

Here, the given function,

f(x) = x² - 2x - 7 .......... (i)

now, differentiate with respect to x

d/dx {f(x)} = d/dx ( x²) - d/dx (2x) - d/dx (7)

or, f'(x) = 2x - 2 ............. (ii)

Now, put f'(x) = 0

so, 0 = 2x - 2

or, 2x - 2 = 0

or, 2x = 2

or, x = 1

From equation (ii)

f'(x) = 2x - 2

now, differentiate with respect to x

f''(x) = 2 > 0

So, it implies that, the function has minimum value at x = 1

Now, putting x = 1 in equation (i), we get -

f(1) = (1)² - 2×(1) - 7

f(1) = - 8

Function has minimum value is: - 8.

Thus, correct option is : (1)

To know more about quadratic function refer to:

https://brainly.com/question/25841119

#SPJ4

Catherine Hart works 37 hours per week.
Her hourly rate of pay is $15.50 per hour. A
student calculated Catherine's weekly
paycheck as $570.00, and her annual
income as $13,764.00. These calculations
are wrong. Explain why these calculations
are wrong.

Answers

Weekly paycheck of Catherine is $573.5 and her annual income is $29,904.01.

What is Unit Rate?

Unit rate is defined as the number of one quantity needed for a single other quantity.

In other words, if we know the unit rate, we can calculate any amount of one quantity corresponding to any amount of the other quantity by multiplying the unit rate with the number of other quantity.

Here unit rate of Catherine's pay = $15.50 per hour

Given that Catherine works 37 hours per week.

Weekly paycheck of Catherine = unit rate × number of hours per week

                                                    = 15.50 × 37

                                                    = $573.5

Annual Income of Catherine = Unit rate × number of hours per year

There are 52.143 weeks in a year.

Catherine works 37 hours per week.

Number of hours Catherine working in an year = 52.143 × 37 = 1929.291

Annual Income of Catherine = 15.50 × 1929.291

                                               = $29,904.01

Hence, calculation of student is wrong since the weekly paycheck is $573.5 and her annual income is $29,904.01.

To learn more about Unit Rate, click:

https://brainly.com/question/29781084

#SPJ1

2. (5 pts) An angle, A, is 11 times larger than its supplement, B. Find the angles (be sure to say which is which).

Answers

Answer:

So, a+2a=180°

Simplify.

3a=180°

To isolate a , divide both sides of the equation by 3 .

3a3=180°3    a=60°

The measure of the second angle is,

2a=2×60°       =120°

So, the measures of the two supplementary angles are 60° and 120° .

James was eating a bag of candies that came in eight different colors. He noticed that there appeared to be far fewer green candies than any of the other colors and wondered if the true proportion of green candies was lower than the 12.5% that would be expected if all of the candies came in even amounts. For the sake of statistics, he decided that he would need to buy more candy to test his hypothesis. James randomly selected several bags and candies and recorded the color of each piece of candy. He found that out of the first 400 candies that he chose, 39 of them were green. James conducts a one-proportion hypothesis test at the 5% significance level, to test whether the true proportion of green candies was lower than 12.5%.

Answers

uuuuuuuuuuuuuuuurrrrrrrrrrrrrrrr mom

What is the answer to the question??

Answers

Answer:you need to show the diagram in order for me to

Step-by-step explanation:

What is the degree form for 4pi/9?

Answers

Answer:

80 degrees

Step-by-step explanation:

π=180 degrees

4π/9 =

4*180/9 =   ==> substitute 180 for π

720/9 = ==> simplify

80 degrees

Answer
80 degree
Step-by-step explanation:
4*20

NO LINKS!!!
Complete the table by finding the balance A when P dollars is invested at rate r for t years and compounded n times per year. (Round your answers to the nearest cent)

P = $2100, r= 8.5%, t = 9 years

n A
1 $
2 $
4 $
12 $
365 $
Continuous $

Answers

Answer:

[tex]\begin{array}{|c|c|}\cline{1-2} \vphantom{\dfrac12} n&A \\\cline{1-2}\vphantom{\dfrac12} 1& \$4376.10\\\vphantom{\dfrac12} 2& \$4442.10\\\vphantom{\dfrac12} 4& \$4476.86\\\vphantom{\dfrac12} 12& \$4500.73\\\vphantom{\dfrac12} 365& \$4512.49\\\vphantom{\dfrac12} \sf Continuous& \$4512.89 \\\cline{1-2} \end{array}[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{8.5 cm}\underline{Compound Interest Formula}\\\\$ A=P\left(1+\frac{r}{n}\right)^{nt}$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ final amount \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $n =$ number of times interest is applied per year \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}[/tex]

Given:

P = $2100r = 8.5% = 0.085t = 9 years

Substitute the given values into the formula to create an equation for A in terms of n:

[tex]\implies A=2100\left(1+\dfrac{0.085}{n}\right)^{9n}[/tex]

Substitute each value of n into the equation:

[tex]\begin{aligned}n=1 \implies A&=2100\left(1+\dfrac{0.085}{1}\right)^{9 \times 1}\\&=2100\left(1.085\right)^{9}\\&=\$4376.10\end{aligned}[/tex]

[tex]\begin{aligned}n=2 \implies A&=2100\left(1+\dfrac{0.085}{2}\right)^{9 \times 2}\\&=2100\left(1.0425\right)^{18}\\&=\$4442.10\end{aligned}[/tex]

[tex]\begin{aligned}n=4 \implies A&=2100\left(1+\dfrac{0.085}{4}\right)^{9 \times 4}\\&=2100\left(1.02125\right)^{36}\\&=\$4476.86\end{aligned}[/tex]

[tex]\begin{aligned}n=12 \implies A&=2100\left(1+\dfrac{0.085}{12}\right)^{9 \times 12}\\&=2100\left(1.00708333...\right)^{108}\\&=\$4500.73\end{aligned}[/tex]

[tex]\begin{aligned}n=365 \implies A&=2100\left(1+\dfrac{0.085}{365}\right)^{9 \times 365}\\&=2100\left(1.00023287...\right)^{3285}\\&=\$4512.49\end{aligned}[/tex]

[tex]\boxed{\begin{minipage}{8.5 cm}\underline{Continuous Compounding Formula}\\\\$ A=Pe^{rt}$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ final amount \\\phantom{ww}$\bullet$ $P =$ principal amount \\\phantom{ww}$\bullet$ $e =$ Euler's number (constant) \\\phantom{ww}$\bullet$ $r =$ annual interest rate (in decimal form) \\\phantom{ww}$\bullet$ $t =$ time (in years) \\\end{minipage}}[/tex]

[tex]\implies A=2100e^{0.085 \times 9}[/tex]

[tex]\implies A=2100e^{0.765}[/tex]

[tex]\implies A=2100(2.14899437...)[/tex]

[tex]\implies A=\$4512.89[/tex]

Input the calculated values into the table:

[tex]\begin{array}{|c|c|}\cline{1-2} \vphantom{\dfrac12} n&A \\\cline{1-2}\vphantom{\dfrac12} 1& \$4376.10\\\vphantom{\dfrac12} 2& \$4442.10\\\vphantom{\dfrac12} 4& \$4476.86\\\vphantom{\dfrac12} 12& \$4500.73\\\vphantom{\dfrac12} 365& \$4512.49\\\vphantom{\dfrac12} \sf Continuous& \$4512.89 \\\cline{1-2} \end{array}[/tex]

TEXT ANSWER
Markita is reading a book. She decides to read the same amount of
pages every day. The line y = -45x + 750 represents how many pages
are left in her book 'x' days after she has begun reading it.
a. How many pages does the book have?
b. How many pages does she read per day?

Answers

Answer:

a. 750 pages

b. 45 pages

Step-by-step explanation:

If you're decreasing 45 of something each day from 750, it makes sense that the 'something' is pages; instead of decreasing, it's reading.

So

a. 750 pages

b. 45 pages

find a power series representation for the function. determine the interval of convergence. (give your power series representation centered at x

Answers

The interval of convergence for this series is [tex]$x \in \left(-1, 1\right)$[/tex].

What is Power Series Representation for the Function ?

To find a power series representation for a function, we need to express the function as an infinite series of the form

                      [tex]$$f(x) = \sum_{n=0}^{\infty} a_n (x-x_0)^n$$[/tex]

where [tex]$x_0$[/tex] is the center of the series, and the [tex]$a_n$[/tex] are the coefficients of the series. To determine the interval of convergence for the series, we need to find the values of [tex]$x$[/tex] for which the series converges.

To find the power series representation for a given function, we can use the process of Taylor series expansion. This involves finding the derivative of the function at the point [tex]$x_0$[/tex], and using the derivative to find the coefficients of the series.

For example, suppose we want to find a power series representation for the function [tex]$f(x) = \frac{1}{1-x}$[/tex]  centered at [tex]$x_0 = 0$[/tex]. We can use the process of Taylor series expansion to find the power series representation as follows:

[tex]$$f(x) = \frac{1}{1-x} = \frac{1}{1-0} + \frac{0-1}{(1-0)^2}x + \frac{2 \cdot 0 - 1 \cdot 1}{(1-0)^3}x^2 + \dotsb$$[/tex]

Simplifying this expression, we get

[tex]$$f(x) = 1 + x + x^2 + x^3 + \dotsb$$[/tex]

This is the power series representation of [tex]$f(x)$[/tex] centered at [tex]$x_0 = 0$[/tex].

To determine the interval of convergence for this series, we can use the ratio test. If we let [tex]$a_n = 1$[/tex] for all [tex]$n$[/tex], then the series becomes

[tex]$$\sum_{n=0}^{\infty} a_n (x-x_0)^n = \sum_{n=0}^{\infty} x^n$$[/tex]

If we take the limit of the absolute value of the ratio of successive terms, we get,

[tex]$$\lim_{n \to \infty} \left| \frac{x^{n+1}}{x^n} \right| = \left| x \right|$$[/tex]

If [tex]$|x| < 1$[/tex], then the series converges. If [tex]$|x| > 1$[/tex], then the series diverges. If [tex]$|x| = 1$[/tex], then the test is inconclusive and we need to use another method to determine convergence.

Therefore, the interval of convergence for this series is [tex]$x \in \left(-1, 1\right)$[/tex].

To know more about Power Series Representation visit,

https://brainly.com/question/28158010

#SPJ4


How much would you need to deposit in an account now in order to have $5,000.00 in the account in 821 days?

Assume the account earns 5-% simple interest.

You would need to deposit ___
in your account now.

Answers

Answer:

A = principal +interest

P = Principal Amount

r = rate

t = time

A = P(1 + rt)

5 000 = P[(1 + 0.05(821/364.25)]

5 000 = P(1 + 0.05(2.254)

5 000 = P(1 + 0.1127)

5 000 = 1.1127P

P = 4 493.5742

Therefore, you need to deposit an amount of $4 493.5742 to have $5 000 in 821 days.

Step-by-step explanation:

heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ  -{ elyna s }-

Draco steals and throws Neville's red ball straight up at 54 feet per second from about 7 feet above the ground. The ball's height in feet above the ground after tt seconds is given by

h(t)=â16t2+54t+7

How long does he have until the ball reaches the ground? seconds

Answers

Answer:

3.5

Step-by-step explanation:

The ball reaches the ground when [tex]h(t)=0[/tex].

[tex]-16t^2+54t+7=0 \\ \\ 16t^2-54t-7=0 \\ \\ (8t+1)(2t-7)=0 \\ \\ t=-1/8, t=7/2 \\ \\ t>0 \implies t=3.5[/tex]

x + 2y=-6
y = 2z =2
-2x- 6y + 5z =26

Answers

To eliminate y from the first equation, we can multiply the entire equation by -2. This will give us:

-2x - 4y = -12

Now, if we add this equation to the second equation, the y terms will cancel out, leaving us with:

-2x - 4(2) + 5z = 26

-2x + 5z = 26

Now we have two equations in two variables, x and z. We can solve this system of equations by substituting the value of y from the second equation into the first equation. This gives us:

x + 2(2) = -6

x = -10

Substituting this value of x into the second equation, we get:

-2(-10) + 5z = 26

20 + 5z = 26

5z = 6

z = 1.2

Finally, we can substitute the values of x and z back into the second equation to find the value of y:

-2(-10) - 6(1.2) + 5(1.2) = 26

20 - 7.2 + 6 = 26

12.8 = 26

This system of equations has no solution, since we have found values of x and z that make the second equation true, but substituting these values into the first equation results in a false statement. This means that there is no set of values for x, y, and z that will make all three equations true at the same time.

What is the solution for x in the equation? 5/3x+4=2/3r A.x=12/7 B.x=12/7C.x=4 D.x=-4

Answers

Answer:

D

Step-by-step explanation:

5/3 x - 2/3 x = -4

3/3 x = -4

x = -4

Find the measure of ∠BCD in degrees.

(Answer as fast as possible would be appreciated!)

Answers

Answer:

106*

Step-by-step explanation:

a triangle is 180*

to find angle BCA, you do 180 - (64+42)

that =74*

a straight line is also 180* so you do 180 - BCA

180-74=106

106

Use the graph below to find the domain and range.

Answers

The domain and the range of the graphed function are given as follows:

Domain D: (-9, -1] U (0, 4].Range R: (-6, 8.6].

How to obtain the domain and the range of the function?

The domain of a function is composed by the set that contains all possible values assumed by the input of the function. Hence, considering the graph of the function, the domain is given by the values of x of the graph.

Thus the domain of this function is given as follows:

D: (-9, -1] U (0, 4].

As there is an interval between -1 and 0 for which the function is not defined, and open circle defines that the interval is open at x = -9 and at x = 0.

The range of a function is composed by the set that contains all possible values assumed by the output of the function. Hence, considering the graph of the function, the range is given by the values of y of the graph.

Then the range of the function is given as follows:

R: (-6, 8.6].

Open interval due to the open circle at y = -6, closed at the value between 8 and 10 which is of 8.6.

More can be learned about domain and range of functions at brainly.com/question/2264373

#SPJ1

What is the y/x rationp

Answers

Answer:

3/2

Step-by-step explanation:

9/6

(9:3)/(6:3) = 3/2


6/4

(6:2)/(4:2) = 3/2


3/2

Suppose we want to choose 4 objects, without replacement, from 17 distinct objects.
(a) How many ways can this be done, if the order of the choices is taken into consideration?

(b) How many ways can this be done, if the order of the choices is not taken into consideration?

Answers

a) If we select without taking the order into consideration there are  2380.

b) If we take the order into consideration, we have 57120 ways

What is selection?

We talk about the selection when we are talking about how a material can be chosen in the midst of many other materials that we have. In this case we are told that we want to choose 4 objects, without replacement, from 17 distinct objects.

If the order is not important then we need to do a combination and we have;

n!/r! (n - r)!

17!/4!(17 - 4)!

17 * 16 * 15 * 14 * 13!/4! * 13!

= 57120/24

= 2380

If we are looking at the order we have;

n!/(n-r)!

17!/(17 - 4)!

17 * 16 * 15 * 14 * 13!/13!

= 17 * 16 * 15 * 14

= 57120

Learn more about permutation:https://brainly.com/question/1216161

#SPJ1

21. If 2 < a < 5, and 3 < b < 6, what are the possible values of a + b?
(A) a + b must equal 8.
(B) a + b must be between 2 and 6.
(C) a + b must be between 3 and 5.
(D) a + b must be between 5 and 8.
(E) a + b must be between 5 and 11.

Answers

The value of a + b must be between 5 and 11. If the value of a 3 or 4, and b will be 4 or 5.

How to find unknown value ?

An unknown in mathematics is a number that we are unsure of. In algebra, where they are also known as variables and denoted by symbols like x, y, and z, they are frequently utilised.

In science, a letter from the Roman or Greek alphabet stands in for an undetermined value. They are most frequently employed in physics, where equations are used to explain how different physical qualities relate to one another.

Given that

2 < a < 5, and 3 < b < 6

a is greater than 2 and lesser than 5 , so the value will be 4 or 3.

b is greater than 3 and lesser than 6, so the value will be 4 or 5.

a + b is

3 + 4 = 7 or 4 + 5 = 9

so the product of sum will be 7 or 9, it is between 5 and 11

Therefore,  a + b must be between 5 and 11.

To learn more about unknown value refer :

https://brainly.com/question/29245116

#SPJ1

What are two motion that are illustrated as a horizontal line on a speed time graph?

Answers

A horizontal line indicates that the thing is travelling steadily. A line that slopes downhill indicates that an object is slowing down.

What is horizontal line?The difference between a horizontal and vertical line is that a horizontal line is drawn from left to right, while a vertical line is drawn from top to bottom. Lines parallel to the x-axis and the y-axis are referred to as horizontal and vertical, respectively, in coordinate geometry.A left to right line is referred to as a horizontal line. The sunrise is visible as it crosses a horizontal line as you look toward the horizon. Examples of horizontal lines include the x-axis.Whether drawn from the right to the left or the left to the right, a horizontal line is a simple straight line (as opposed to down-up or up-down).

To learn more about horizontal line  refer to:

brainly.com/question/25081736

#SPJ1

Value Determination: Determine the values that x cannot be equal for the rational expression.
(5x-2)/(x^2-5x)

with steps please.

Answers

The values of x that can't be equal for the expression are 0 and 5

How to determine the values of x that can't be equal?

From the question, we have the following parameters that can be used in our computation:

(5x-2)/(x^2-5x)

This means that we set the denominator to 0

So, we have

x^2 - 5x = 0

Factorize

(x - 5)x = 0

So, we have

x - 5 = 0 and x = 0

Solve for x

x = 5 and x = 0

Hence, the solution is x = 5 and x = 0

Read more about domain at

https://brainly.com/question/10197594

#SPJ1

Other Questions
If you were an entrepreneur and want to set up a business, which type of marketwould you choose and why? Give your shop a suitable name and also suggest howyou would attract customers. E-commerce ________ is the ability of an organization to create a strong presence among consumers in many places, with minimal time constraints, to sell them products and services.prevalenceselectivitypresenceubiquity adriana graphic design receives $1,550 from a client billed in a previous month for services provided. which of the following general journal entries will adriana graphic design make to record this transaction? What was the goal of the National Origins Act of 1924? A. To increase immigration from Asia B. To limit all immigration C. To increase immigration from Asia D. To end immigration Estimate y when x = 8 from the best fitted straight line y = 13.06 + 0.6x. The temperature, t, in degrees Fahrenheit, can be found by counting the number of cricket chirps, c, heard in 14 seconds and then adding 40. The equation t = c + 40 models the relationship between the temperature and the number of cricket chirps. What is true about the graph that represents this real-world scenario? Select two options.The graph is continuous.All values of t must be positive.A viable solution is (-2,38)A viable solution is (0.5, 40.5)A viable solution is (10,50) What would happen if the Sun was removed from the solar system? The authors of women's ways of knowing added an earlier stage to perry's four stages of cognitive development. this stage is called _______. The study that analyzed the sexual networks of teens at 12 high schools is an example of how network analysis can inform transmission phenomena such as the spread of sexually transmitted infections (STIs). An advantage of network analysis over interpretive sociology is that it can ______A. Go beyond people's own descriptions to look at numbers, which are always more reliable than people's descriptionsB. Reveal the meanings people give to their sexual encountersC. Reveal patterns in social structures that might not become evident through answers to direct questionsD. Go beyond what people say they do to reveal the complex interplay between biology and social behavior assuming that gross rental revenue was $2,000 (rather than $10,000) and that tamar's itemized deduction for taxes is $10,000 before considering property taxes allocated to rental use of the property, what amount of for agi deductions may tamar deduct in the current year related to the condo? The formula is p2 / (2 x (1 - p)) where p = average guest arrivals per minute / guests served per minute. If the average guest arrivals per minute is 10 and guests served per minute is 11. What is the average line length? (Compute p to 3 decimal places. Round the answer to the nearest whole number.) What are the three key elements of a campaign strategy? How do you explain comparing numbers? Why should we fund the arts in schools? What are the terms of expression 4x 3xy? Select the correct answer from each drop-down menu. abc has the points a(1, 7), b(-2, 2), and c(4, 2) as its vertices. the measure of the longest side of abc is units. abc is triangle. if abd is formed with the point d(1, 2) as its third vertex, then abd is triangle. the length of side ad is units. I NEED HELP ASAP!!! Martina and Sabrina created a number pattern that began with the number 0. Martina used the rule Add 2. Sabrina used the rule Add 6.Which statement is true about each corresponding pair of numbers in the two patterns?ResponsesA Each number in Sabrinas pattern is 4 more than the corresponding number in Martinas pattern.Each number in Sabrinas pattern is 4 more than the corresponding number in Martinas pattern.B Each number in Sabrinas pattern is 3 times the corresponding number in Martinas pattern. Each number in Sabrinas pattern is 3 times the corresponding number in Martinas pattern.C Each number in Sabrinas pattern is 4 times the corresponding number in Martinas pattern. Each number in Sabrinas pattern is 4 times the corresponding number in Martinas pattern.D Each number in Sabrinas pattern is 4 less than the corresponding number in Martinas pattern. What are the different types of musical instruments of Latin American music? Why did God give us with freedom? 65% Wed 11:13 PM MyMassasoit Login a In a downhill ski race, surprisingly, little advantage is gained by getting a running start. (This small hills.) To demonstrate this, find the final speed in m/s and the time taken in seconds for a skier who skies 67.0 m along a 25 slope neglecting friction for the following two cases. (En speeds to at least one decimal place Your s is because the initial kinetic energy is small compared with the gain in gravitational potential energy even on (a) starting from rest final speed the final m/s time takern (b) starting with an initial speed of 3,40 m/s final speed m/s time taken (c) Does the answer surprise you? Discuss why it is still advantageous to get a running start in very competitive events. Reading