Indicate the domain of each fraction.

a. [tex]\frac{2y}{9+y^{2} }[/tex]
b. [tex]\frac{5x}{3x(x+12)}[/tex]
c. [tex]\frac{7a}{(a+1)(a-4)}[/tex]

Answers

Answer 1

Answer: see below

Step-by-step explanation:

The denominator of the equations cannot equal zero.

a. [tex]9+y^{2}[/tex] [tex]= 0[/tex]

[tex]y^{2} = -9[/tex]

[tex]\sqrt{y^{2} } = \sqrt{-9}[/tex]

[tex]y=-3i,3i[/tex]

The domain is all real numbers.

D:xE(−∞,∞)

b.3x(x+12)=0

3x=0, x+12=0

x=0,x=-12

D:xE(−∞.-12) U (-12,0) U (0,∞)

c.(a+1)(a-4)=0

a+1=0, a-4=0

a=1, a=4

D:xE(−∞.1) U (1,4) U (4,∞)


Related Questions

Bryce's faucet leaks at a rate of 7 gallons an hour. Bryce collects data points, where yis the
number of gallons leaked, and x is the number of hours elapsed, and plots them on a graph.
What is the slope of the line that fits Bryce's data?

Answers

y = 7 x is the situation's linear equation in two variables and 7 is Slope of line.

How to calculate Slope?

To determine a line's inclination or steepness, use the slope formula. By calculating the ratio of the change in the y-axis to the change in the x-axis, it may be used to calculate the slope of any line. A line's slope is determined by how its "y" coordinate changes in relation to how its "x" coordinate changes.

Calculation:

The faucet leakage rate is shown here to be 7 gallons per hour.

Since y gallons could leak in x hours , we have

Leakage rate is expressed as gallons per hour divided by the number of hours.

Given that our leakage was y gallons, and

The duration of the leaking is x hours, as well.

7 gallons per hour is the leakage rate, so we have;

Amount of gallons leaked = Gallons leaking per hour × Number of hours

The situation is represented by the linear equation =

y = 7 × x.

By comparing this with y=mx+c, Slope of line is 7

y = 7 x is the situation's linear equation in two variables and 7 is Slope of line.

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CAN someone help me about this?

Answers

Answer:

Step-by-step explanation:

[tex]i=\sqrt{-1} \ \ \ \ \ \ \ \ i^2=(\sqrt{-1})^2=-1[/tex]

a) ±2, 3

[tex](x-2)(x-(-2))(x-3)=\\\\(x-2)(x+2)(x-3)=\\\\(x^2-4)(x-3)=\\\\x^3-4x-3x^2+12=\\\\x^3-3x^2-4x+12[/tex]

b) -2, ±i

[tex](x-(-2))(x-i)(x-(-i))=\\\\(x+2)(x-i)(x+i)=\\\\(x+2)(x^2-i^2)=\\\\(x+2)(x^2-(-1))=\\\\(x+2)(x^2+1)=\\\\[/tex]

[tex]x^3+x+2x^2+2=\\\\x^3+2x^2+x+2[/tex]

c) 3, -1 ±i

[tex](x-3)(x-(-1-i))(x-(-1+i)=\\\\(x-3)(x+1+i)(x+1-i)=\\\\(x-3)((x+1)+i)((x+1)-i)=\\\\(x-3)((x+1)^2-i^2)=\\\\(x-3)((x+1)^2-(-1))=\\\\(x-3)((x+1)^2+1)=\\\\(x-3)(x+1)^2+(x-3)(1)=\\\\(x-3)(x^2+2x+1)+(x-3)=\\\\x^3+2x^2+x-3x^2-6x-3+x-3=\\\\x^3-x^2-4x-6[/tex]

d) -1, -2±√2

[tex](x-(-1))(x-(-2-\sqrt{2}))(x-(-2+\sqrt{2}))=\\\\ (x+1)(x+2+\sqrt{2})(x+2-\sqrt{2})=\\\\(x+1)((x+2)+\sqrt{2})((x+2)-\sqrt{2})=\\\\ (x+1)((x+2)^2-(\sqrt{2})^2)=\\\\(x+1)((x+2)^2-2)=\\\\(x+1)(x+2)^2-2(x+1)=\\\\(x+1)(x^2+4x+4)-2x-2=\\\\x^3+4x^2+4x+x^2+4x+4-2x-2=\\\\x^3+5x^2+6x+2[/tex]

i need help solving!! (x,y)

y = 6x - 3
2x-3y=25

Answers

Answer:

Step-by-step explanation:

2x - 3(6x - 3) = 25

2x - 18x + 9 = 25

-16x + 9 = 25

-16x = 16

x = -1

y = 6(-1) - 3 = -6 - 3 = -9

(-1, -9)

Or Find the miing number o that the equation ha infinitely many olution. – 3x–20= – 3x

Answers

For the equation -3x - 20 to have an infinite solution, it should be equal to -3x + 20 = -3x + 20, so the blank will be + 20

Given the data in the question,

Let the equation be - 3x + 20 = - 3x blank

These situations could be turned into producing an infinite number of solutions only if the lines are coincident and have the same y-intercept.

The quantities being coincident demonstrates the equality of the expressions printed on the left and right sides.

The lines with the same slopes are equal lines.

If the lines are making equal patterns, they will be giving infinite answers as output. As we can see in the result the equations are containing infinite solutions.

So, the missing blank will be = +20 to make the equation have infinite solutions.

Therefore, the value of the blank will be +20 and the equation will be =

- 3x + 20 = - 3x + 20

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Two-sevenths of the students in the theater club will be in the second show, and three-fifths of them will be in the third show. The rest will be in the first show. If there are 70 students in the theater club, how many of them will be in the first show?

Answers

Answer:

8 students

Step-by-step explanation:

Let's say there are x students in the theater club. We can set up the following equations to represent the information given in the problem:

2/7 * x = number of students in the second show3/5 * x = number of students in the third showx - (2/7 * x + 3/5 * x) = number of students in the first show

We are told that there are 70 students in the theater club, so we can substitute 70 for x in the equations above to find the number of students in each show:

2/7 * 70 = 20 students in the second show3/5 * 70 = 42 students in the third show70 - (2/7 * 70 + 3/5 * 70) = 8 students in the first show

Therefore, there will be 8 students in the first show.

Mariol buy 3 pound of cheee and 3 pound of auage for a total cot of $36. The auage cot $2. 00 le per pound than the cheee. What i the combined cot of 1 pound of cheee and 1 pound of auage?How much would Mariol pay for 4 pound of cheee and 1 pound of auage

Answers

Mariol pays $12 for a pound of cheese and a pound of sausage, and $42 for 4 pounds of cheese and 1 pound of sausage.

To solve this problem, we can apply simple algebra. Let's use the letter for the initial, C for a pound of cheese, and S for a pound of sausage.

3 C + 3 S = $36

If the sausage cost $2.00 per pound, so

3 C + 3 ($2) = $36

3 C + $6 = $36

To know the price for a pound of cheese, do as follow

3 C = $36 - $6

3 C = $30

1 C = $30 : 3 = $10

Thus, 1 pound of cheese and 1 pound of sausage would be $2 + $10 = $12

Moreover, if 4C + 1S = 4($10) + 1($2) = $40 + $2= $42

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find a power series representation for the function. f(x) = x^8 tan^−1(x^3)

Answers

The Power series representation of f(x) = [tex]x^8tan^-^1x^3[/tex] is [tex]$$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^1^1}{2n+1}[/tex]

What is Maclaurin series?

The Maclaurin series expansion method can be used to get the power series of such functions if the function has a composite part, such as the multiplication or quotient form.

What is power series?

An infinite series in mathematics known as a "power series" can be compared to a polynomial with an infinite number of terms.

The Maclaurin series will be used in this instance to expand the function:

[tex]tan^-^1x[/tex] = [tex]$$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^2^n^+^1}{2n+1}[/tex]

and for    [tex]tan^-^1x^3 = $$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{(x^3)^2^n^+^1}{2n+1}[/tex]

=>  [tex]tan^-^1x^3 = $$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^3}{2n+1}[/tex]  -------(i)

and f(x) = [tex]x^8tan^-^1x^3[/tex]

now we need to multiply [tex]x^8[/tex] in the above equation to get the power series expansion of f(x)

[tex]x^8tan^-^1x^3[/tex] = [tex]x^8[/tex] [tex]$$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^3}{2n+1}[/tex]

=> [tex]$$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^3^+^8}{2n+1}[/tex]

=>  [tex]$$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^1^1}{2n+1}[/tex]

so the expansion of f(x) = [tex]x^8tan^-^1x^3[/tex] is [tex]$$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^1^1}{2n+1}[/tex]

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On a coordinate plane, a point is at (negative 5, 3). to which linear equations is the coordinate a solution? select two options. y = 2x 13 y = –x – 2 y = 3x – 5 y = negative one-half x 6 y = –2x – 2

Answers

The 2 linear equation which passes through point (-5,3) are:

y=2x+13y= -x - 2

so option A and B is correct

in order to check the answer we will check for all options which satisfies the the given point (-5,3)

putting the values in equation 1

 3 = 5*-2+13 so 3 =3 and the given points satisfies the above equation.

 putting the vlaues in equation 2

 LHS = y= 3

 RHS = -(-5) -2 =5-2 = 3

 so LHS = RHS  this equation also satisfies

putting the vlaues in equation 3

 LHS = y= 3

 RHS = 3*-5 -5 = -20

 so LHS ≠ RHS  so, this equation not satisfies

 putting the vlaues in equation 4

 LHS = y= 3

 RHS = -0.5 *5 + 6 = 3.5

 so LHS ≠ RHS  so, this equation not satisfies

 putting the vlaues in equation 5

 LHS = y= 3

 RHS = -2*-5- 2=8

 so LHS ≠ RHS  so, this equation not satisfies

 

 so only equation i and ii is true for the given point

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Complete question :

On a coordinate plane, a point is at (negative 5, 3). to which linear equations is the coordinate a solution? select two options.

A. y = 2x + 13

B. y = –x – 2

C. y = 3x – 5

D. y = negative one-half * 6

E . y = –2x – 2

Given || m ||n, find the value of x.
124°
(5x-4)°

Answers

Answer:

x=12

Step-by-step explanation:

5x-4 is vertically opposite and 124 + 5x-4 should add up to 180 because they are cointerior anglesthen you look for the value of x by 124+5x-4=180

124-4+5x-4=180

x=12

Use the order of operations to simplify.

4x5-10-2(1-2)+5

Answers

Answer:the answer is 17  

Step-by-step explanation:

The required simplified solution of the given expression is 17.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
= 4×5 -10 -2 (1 - 2) + 5
Following the PEMDAS rule,
= 20 - 10 - 2(-1) + 5
= 20 - 10 + 2 + 5
= 20 + 2 + 5 - 10
= 27 - 10
= 17

Thus, the required simplified solution of the given expression is 17.

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The formula for the surface area of a cylinder open at both ends S= pi r l where l is the length
Solve the formula

Answers

Answer:

l = S / (2*pi*r)

[tex]l = \frac{S}{2\pi r}[/tex]

Step-by-step explanation:

S = 2 pi * r * l

Then:

l = S / (2*pi*r)

l = length

pi = 3.1416

r = radius

S = surface

Why in this case would we expect the sample size to be small? (Mark all that might apply:) There limited amount of time that bat keepers maybe able to devote to this activity. The sample size doesn't have to be small: There are many bats in the wild We wouldnt want to unnecessarily stress the animals. There is limited number of bats in captivity:

Answers

When it comes to researching bats in captivity, we expect the sample size to be small for a few reasons.

Firstly, there may be a limited amount of time that bat keepers are able to devote to this activity due to other obligations. Secondly, we would not want to unnecessarily stress the animals by collecting too many samples. Lastly, there is a limited number of bats in captivity, so the sample size will be small.

On the other hand, there are many bats in the wild, which means that the sample size does not have to be small. Researchers can take advantage of this by collecting data from a larger sample size. However, researchers must be mindful of the impact that their research may have on the environment, and the stress that it may cause the animals.

In conclusion, the sample size for studying bats in captivity is likely to be small due to the limited amount of time that bat keepers can devote to this activity, the need to avoid unnecessarily stressing the animals, and the limited number of bats in captivity. On the other hand, a larger sample size is possible when studying bats in the wild, but researchers must be mindful of the impact of their research on the environment and the animals.

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The perimeter of a rectangular field is 308m . If the length of the field is 96m , what is its width?

Answers

Answer:

Perimeter = 2(Length + Width)

let x as width

308m = 2(96m + x)

308m = 192m + 2x

308m - 192m = 2x + 192m - 192m

116m = 2x

x = 58m

therefore, the width is 58m

Step-by-step explanation:

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

3.50x+2(2.75)≤18 solve this please

Answers

Answer:

x ≤ 25/7

Step-by-step explanation:

3.5x + 5.5 ≤ 18

3.5x ≤ 18 - 5.5

3.5x ≤ 12.5

x ≤ 12.5/3.5

x ≤ 25/7

A rectangle has a height-to-width ratio of 6.25:4.

Select all of the choices below that are scaled versions of this rectangle.

A rectangle with a height of 18.75 units and a width of 12 units
A rectangle with a height of 18.75 units and a width of 12 units

A rectangle with a height of 30.25 units and a width of 20 units
A rectangle with a height of 30.25 units and a width of 20 units

A) A rectangle with a height of 400 units and a width of 625 units
B) A rectangle with a height of 400 units and a width of 625 units
C) A rectangle with a height of 50 units and a width of 32 units
D) A rectangle with a height of 50 uxnits and a width of 32 units
E) A rectangle with a height of 1.25 units and a width of 0.8 unit

Answers

The scaled versions of the given rectangle are A rectangle with a height of 18.75 units and a width of 12 units, A rectangle with a height of 50 units and a width of 32 units and A rectangle with a height of 1.25 units and a width of 0.8 unit

What is scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.

Given that, A rectangle has a height-to-width ratio of 6.25:4.

4/6.25 = 0.64

The ratio of width to height should be 0.64 for the scaled versions of this rectangle.

A) A rectangle with a height of 18.75 units and a width of 12 units = 12/18.75 = 0.64

B) A rectangle with a height of 50 units and a width of 32 units = 32/50 = 0.64

C) A rectangle with a height of 1.25 units and a width of 0.8 unit = 0.8/1.25 = 0.64

Hence, The scaled versions of the given rectangle are A rectangle with a height of 18.75 units and a width of 12 units, A rectangle with a height of 50 units and a width of 32 units and A rectangle with a height of 1.25 units and a width of 0.8 unit

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6.4: Spot the Differences
Let /(x) = (x-2)(x+3)(x-7) and g(x)=(x-2)(x+3)(x-7).
Mathematics
1. Use graphing technology to graph both functions in the same window of
-10 ≤x≤ 10 and -100 ≤ y ≤ 100. Describe how the two graphs are the same and
how they are different.

Answers

The differences f(x) = (x-2)(x+3)(x-7) and g(x)=(x-2)(x+3)(x-7) is 0.

What is the polynomial equation?

A polynomial is a function in which the least power of the unknown is 2.

The root of a polynomial is the value of the unknown which makes the polynomial equal to zero.

We  have,

f(x) = (x-2)(x+3)(x-7)

g(x) = (x-2)(x+3)(x-7).

( f – g ) ( x ) = ?

( f – g ) ( x ) = f ( x ) – g ( x )

= (x - 2) (x + 3) (x - 7)  – (x - 2) (x + 3) (x - 7)

= 0

Hence, the differences f(x) = (x-2)(x+3)(x-7) and g(x)=(x-2)(x+3)(x-7) is 0.

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suppose that you are rolling a six sided dice. let a = even what is p(ac)?

Answers

Answer:

1/2

Step-by-step explanation:

When you roll a 6-sided die, there are 6 possible outcomes:

1, 2, 3, 4, 5, 6

3 of the outcomes are even, and 3 of the outcomes are odd.

p(A) = p(even) = 3/6 = 1/2

p(Ac) = 1 - p(A) = 1 - 1/2 = 1/2

Kyle uses a calculator to figure out
the total cost of a $1.60 cookie jar.
Including sales tax, the total is
$1.62. What is the sales tax
percentage?
(round your answer to the nearest hundreths)
COOKIES

Answers

The sales tax percentage of cookie jar is 1.6% .

What is sales tax?Sales tax is a mandatory fee levied on the purchase of certain goods and services. The cost of goods and services rises as a result of sales tax.

           (sales tax / total cost of the item) x 100 = sales tax rate

To find the sales tax percentage:

To calculate the tax amount, subtract the net price from the gross price.Subtract the tax amount from the net price.Step 2's result is multiplied by 100. The outcome is the sales tax.

Here given,

Total cost = $1.62

Gross price = $1.60

Tax amount = $1.62 - $1.60

                    = $0.02

By substracting the tax amount from total cost,

$1.62 - $0.02

= $1.6

The sales tax percentage = 1.6%.

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a) In a single throw of 2 dice, find the probability of getting product at most 6.

Answers

Answer: There are a total of 6 * 6 = 36 outcomes when two dice are thrown.

The outcomes that result in a product at most 6 are (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (3, 1), (3, 2), (3, 3), (4, 1), and (5, 1).

There are a total of 15 outcomes that result in a product at most 6.

Therefore, the probability of getting a product at most 6 in a single throw of 2 dice is 15/36, which is approximately 0.417.

Step-by-step explanation:

Answer:

p(product of at most 6) = 13/36

Step-by-step explanation:

When throwing 2 dice, there are 36 possible outcomes.

Here are the 36 possible outcomes and their products.

1, 1: 1    <---- at most 6

1, 2: 2    <---- at most 6

1, 3: 3    <---- at most 6

1, 4: 4    <---- at most 6

1, 5: 5    <---- at most 6

1, 6: 6    <---- at most 6

2, 1: 2    <---- at most 6

2, 2: 4    <---- at most 6

2, 3: 6    <---- at most 6

2, 4: 8

2, 5: 10

2, 6: 12

3, 1: 3    <---- at most 6

3, 2: 6    <---- at most 6

3, 3: 9

3, 4: 12

3, 5: 15

3, 6: 18

4, 1: 4    <---- at most 6

4, 2: 8

4, 3: 12

4, 4: 16

4, 5: 20

4, 6: 24

5, 1: 5    <---- at most 6

5, 2: 10

5, 3: 15

5, 4: 20

5, 5: 25

5, 6: 30

6, 1: 6    <---- at most 6

6, 2: 12

6, 3: 18

6, 4: 24

6, 5: 30

6, 6: 36

There are 36 possible outcomes.

There are 13 outcomes of at most 6.

p(product of at most 6) = 13/36

Given the equation. y = x^2 + 4
Write the vertex form equation of each parabola.

A. y = (x + 2)^2 - 4
B. y = (x - 2)^2 + 4
C. y = (x + 4)^2 - 1
D. y = (x + 4)^2 - 2

Answers

Answer:

The vertex form equation of a parabola is y = a(x - h)^2 + k, where (h, k) is the vertex and a is a constant that determines the shape of the parabola.

To write the vertex form equation of each parabola, we need to find the values of a, h, and k for each equation.

A. y = x^2 + 4 To find a, we can compare the coefficients of x^2 in the given equation and the vertex form equation. We see that a = 1 in this case.

To find h and k, we can complete the square for the x-term in the given equation. We add and subtract (b/2a)^2, where b is the coefficient of x and a is the coefficient of x^2.

y = x^2 + 4 y = x^2 + 4 + (0/2)^2 - (0/2)^2 y = x^2 + 4 + 0 - 0 y = (x + 0)^2 + 4 - 0 y = (x + 0)^2 + 4

We see that h = -0 and k = 4 in this case. The vertex form equation is y = (x + 0)^2 + 4, or y = x^2 + 4.

B. y = (x - 2)^2 + 4 This equation is already in vertex form, so we can directly read the values of a, h, and k. We see that a = 1, h = 2, and k = 4 in this case. The vertex form equation is y = (x - 2)^2 + 4.

C. y = (x + 4)^2 - 1 This equation is also already in vertex form, so we can directly read the values of a, h, and k. We see that a = 1, h = -4, and k = -1 in this case. The vertex form equation is y = (x + 4)^2 - 1.

D. y = (x + 4)^2 - 2 This equation is also already in vertex form, so we can directly read the values of a, h, and k. We see that a = 1, h = -4, and k = -2 in this case. The vertex form equation is y = (x + 4)^2 - 2.

2+2 please help me k

Answers

Answer:

4

Step-by-step explanation:

.....

commpute how many of those cis contain the true mean. assume that the true mean is 25,000 . store this value in sample hits. does this value match the theoretical value?

Answers

assume that the true mean is 25,000 . store this value in sample hits.No, this value does not match the theoretical value.

This code is calculating the number of "hits" in a list of "CIS" that match the specified true mean of 25,000. The loop iterates through each item in the list and if the value matches the true mean, the sample_hits counter is incremented by one. After the loop has finished iterating through the list, the sample_hits value should represent the number of times the true mean was found in the list. The result does not necessarily match the theoretical value because it is dependent on the contents of the list and whether or not the true mean is actually present.

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Jackie Pope is a professional singer. She tracks her transportation expenses to and from her performances. Her expense sheet looks like this: Pope budgets $100 per month for transportation. How much more or less are her expenses than the $100 budgeted? a. $13.50 less c. $19.50 less b. $12.50 less d. $12.50 more Gas/Oil Parking Tolls Commuting $30.00 5.00 7.00 45.50

Answers

Expenses are $12.50 less than the budget of 100$ given to Jackie Pope.

How to calculate Expenses?

Tabulate the expenses of all the things. Calculate the sum of all expenses to get Expenses.

Now for the given question:

Given:

Expenses of travelling of Jackie pope are

It costed $30.00 for Gas/Oil for car;

It costed $5.00 for Parking of car.

It costed $7.00 for Tolls on road.

It costed $45.50 for commuting.

Now total expenses is sum of all the above four expenses:

Expenses=30+5+7+45.5=$87.50.

Now budget=$100.

So, Remaining amount= Budget-Expenses;

Remaining amount= 100-87.5=$12.50;

Remaining amount from the budget is $12.50

Expenses are $12.50 less than the budget of 100$ given to Jackie Pope.

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Please help! It’s asap :(

Answers

Answer:

mean is the average of all the values:

( 15.07 + 15.47 + 15.93 + 15.86 + 15.07 ) / 5 = 15.48g

median is the middle value AFTER it has been arranged in increasing order:

the increasing order is: 15.07, 15.07, 15.47, 15.86, 15.93

the middle value is 15.47g making it the median.

the mode is the most repeated value: 15.07g

can someone help me pls?

Answers

The value of x that will make the equation of the model true is: x = 5.8.

How to Solve an Equation of a Model?

Create an equation using the model given, then isolate the variable in order to determine its value, which will make the equation true.

Given the model above, the following equation would be created below:

x + x + 9.4 = 21

Combine like terms

2x + 9.4 = 21

Subtract 9.4 from both sides

2x + 94 - 9.4 = 21 - 9.4 [subtraction property of equality]

2x = 11.6

Divide both sides by 2:

2x/2 = 11.6/2 [division property of equality]

x = 5.8

The value of x is: 5.8.

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a delivery truch travels 21 blocks north , 16 blockd east, and 26 blocks south. what is its displacment form the oriringo

Answers

Displacement from the origin will be 16.76 block

Pythagoras Theorem:

                                   Pythagoras theorem can be used to find the unknown side of a right-angled triangle.Theorem stats that,

                c² = a² + b²

                         where 'c' is the hypotenuse and 'a' and 'b' are the two legs.

In figure,

              O is origin,

             First travel 21 block north that means OA = 21 block.

             then,

                         travel 16 block East that means AB = 16 block.

             again finally,

                        travel 26 block South that means BC = 26 block.

Join OC,

            OC = 16 block

            CD = 5 block

we have to find the value of OD

Apply Pythagoras theorem,

                                                OD² = OC² + CD²

                                       

                                                OD = √(OC² + CD²)

                                                OD =√(16² + 5²)

                                                OD =√(256 + 25)

                                                 OD = √(256 + 25)

                                                 OD = √281 block

                                                 OD = 16.76 block

Thus,

              Displacement from the origin will be 16.76 block

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The height of a stack of DVD cases is in a proportional relationship to the number of cases in the stack. A stack of 6 cases and its height are shown. Find the constant of proportionality. Then use the constant of proportionality to find the height of a stack of 14 cases. The height of 6 DVD cases is 114 mm.

pls help and ty

Answers

Answer:

lol

Step-by-step explanation:

hahahaha

Could the average peron lift the weight of $150 in quarter? HINT: The average quarter weigh 0. 2 oz

Answers

Answer: Yes, they can.

Step-by-step explanation: Since quarters weigh 0.2 oz. 1 dollar weighs 0.8 oz. 0.8x150=120oz. 120ozs is about 7.5 pounds, so yes.

Do 1.7 and 1.700 have the same value? In a full sentence, explain why or why not.

Answers

Answer: Yes.

Step-by-step explanation:

1.7 divided by 1.700 is 1

How many ways can five members of the
100-member United States Senate be
chosen to be put on a committee?

Answers

Answer:

75287520

Step-by-step explanation:

Combination formula: [tex]\frac{n!}{r!(n-r)!}[/tex]

n = the amount of members of the US senate (100)

r = number of members chosen to be committee (5)

= [tex]\frac{100!}{5!(100-5)!}[/tex]

= [tex]\frac{100!}{5! * 95!}[/tex]

=   75287520

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