Mathematics College

Henry is shipping a package that weighs 7 7/8 lbs. What is the weight of the package expressed as a decimal?

Answers

Answer 1

Answer:

7.875

Step-by-step explanation:

Related Questions

If xy=8 inches, wy=24 inches and xz=48, The height from the ground the base of the window is ___ inches

Answers

Given:

[tex]\begin{gathered} XY=8in \\ WY=24in \\ XZ=48in \end{gathered}[/tex]

To find:

The height from the ground to the base of the window.

Explanation:

Since the triangles XWY and XVZ are similar by AA similarity.

So we can write,

[tex][/tex]

5. Follow the rule to find the next three numbers in the pattern. Describe
the pattern using the terms even and odd.

Add 5: 1, 6, 11,

Answers

Any integer that cannot be divided into twos is considered an odd number. Five computers, for instance, cannot be arranged in pairs only. 5 is therefore an odd number.

The next three numbers in the pattern is 16,21,26. The pattern is odd.

What is odd and even numbers?

Any integer that cannot be divided into twos is considered an odd number. Five computers, for instance, cannot be arranged in pairs only. 5 is therefore an odd number.

An even number is one that can be divided by two and leaves residue of zero. The even numbers include 2, 4, 6, 8, 10, and so on. Let's say, for instance, that you have ten chocolates. There are two groups of these chocolates that each include five chocolates. Ten is therefore an even number.

An even number is produced by adding two even numbers. In this case, 12 + 8 equals 20.

Odd numbers are created by adding odd numbers to even numbers. For example, 6 + 7 equals 13.

The outcome of adding two odd numbers is an even number. For an instance, 15 + 11 = 26.

Now for the above question,

The next three numbers: 16, 21, 26.

Number pattern is odd, because 5 is odd number.

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The value of a stock decreases by an average of 12 dollars each week. Which of the following represents the total average decrease in the stock after 4 weeks? |−12| − 4 = 8 dollars 4|−12| = 48 dollars |−12| − |4| = 8 dollars −4|12| = 48 dollars

Answers

The equation that represents the total average decrease in the stock after 4 weeks is 4|−12| = 48 dollars.

What is the total average decrease?

When the value of a stock decreases, the number is a negative number. A negative number is a number that is less than zero. A negative number would have a negative sign in front of it. Thus, a $12 stock decrease would be written as -12.

The total stock decrease in 4 weeks can be determined by multiplying $-12 by 4 weeks. Multiplication is the operation that is used to determine the product of two or more numbers.

Total stock decrease = decrease per week x number of weeks

-12 x 4 = -48 or |-48| dollars

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A 90% confidence interval is found to be (72, 78). What is the margin of error?

Answers

In order to find the margin of error, we need to know that the width of the confidence interval is equal to 2 times the margin of error.

The width of this confidence interval is given by:

[tex]\begin{gathered} width=upper\text{ }limit-lower\text{ }limit\\ \\ width=78-72\\ \\ width=6 \end{gathered}[/tex]

If the width is 2 times the margin of error, we have:

[tex]\begin{gathered} width=2\cdot E\\ \\ 6=2\cdot E\\ \\ E=\frac{6}{2}\\ \\ E=3 \end{gathered}[/tex]

The margin of error is equal to 3, therefore the correct option is D.

Does coordinates s or coordinate t represent a greater number in the following
parallelogram?
(-2,3)
(s, -1)
(0, -1)
(t, 3)

Answers

Thus, t has a greater value than s for the co-ordinates (s, -1) and (t, 3).

How to analyze points of an axis for a two dimensional entity?
We can use the fact that both points on the x-axis to compare the values of s and t for the provided parallelogram. As a result, each point that is closest to the x coordinate reflects a higher value than its equivalent counterparts.

Given, the co-ordinates of the parallelogram are: (-2, 3), (s, -1), (0, -1),
(t, 3).
Also, the co-ordinates of the parallelogram are also shown in the figure below.
To compare for the values of s and t for the given parallelogram,
we can analyze that both s and t represent points on the x-axis, therefore any point that stands rightmost with the x co-ordinate represents a higher value than the corresponding counterparts.
Therefore, t has a greater value than s for the co-ordinates (s, -1) and (t, 3), since t is on the right side from s.

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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the graphs with the absolute value relations they represent

Answers

Given

Answer

The graph is given by y = -3/2|x|

The graph of |y| = x/2

The graph of y = |x|

The graph of -1/2 |y| = x

SOMEONE HELP ME ASAP PLEASE!!!!
Find all values of n for which the equation has two complex (non-real) solutions.
3z² - 9z = (n − 3)
-
Write your answer starting with n, followed by an equals sign or inequality symbol (for
example, n < 5). Reduce all fractions.

Answers

For a quadratic [tex]ax^2+bx+c[/tex], the sign of its determinant, given by

[tex]\Delta = b^2 - 4ac[/tex]

"determines" the nature of its roots. In particular, if [tex]\Delta<0[/tex], then the quadratic has two distinct non-real roots.

Now, we have

[tex]3z^2 - 9z = n-3 \implies 3z^2 - 9z - (n-3) = 0[/tex]

with determinant

[tex]\Delta = (-9)^2 - 4\cdot3(n-3) = 117 - 12n[/tex]

Solve for [tex]n[/tex] such that [tex]\Delta<0[/tex].

[tex]\Delta = 117 - 12n < 0 \implies 12n > 117 \implies n > \dfrac{117}{12} \\\\ ~~~~ \implies \boxed{n > \dfrac{39}4}[/tex].

What does approximate value of the area of Circumference mean

Answers

Explanation

Let's assume that we have a circle of radius r. Its circumference or perimeter C and its surface area A are given by the following formulas:

[tex]\begin{gathered} C=2\pi r \\ A=\pi r^2 \end{gathered}[/tex]

We must find the radius or diameter of a circle where C and A are equal. Then we can construct an equation for r by equalizing A and C:

[tex]\begin{gathered} A=C \\ \pi r^2=2\pi r \end{gathered}[/tex]

We can divide both sides by π and r (it is important to note that we can divide by r because we know that r is not 0). Then we get:

[tex]\begin{gathered} \frac{\pi\cdot r^2}{\pi\cdot r}=\frac{2\pi\cdot r}{\pi\cdot r} \\ r=2 \end{gathered}[/tex]Answer

So the radius is 2 (of any unit). Then the answer is the first option.

Find the perimeter of a square with the sides of length 9x+11 and 13x-1

Answers

The perimeter of the square has a value of 260 units

How to determine the perimeter?

From the question, the given parameters are

Shape = Square

Side lengths = 9x + 11 and 13x - 1

The side lengths of a square are congruent

This means that

9x + 11 = 13x - 1

Collect the like terms in the equation

So, we have

13x - 9x = 11 + 1

Evaluate the like terms

2x = 12

Divide both sides by 2

x = 6

The perimeter of the square is then calculated as

P = 4 * (9x + 11)

Where x = 6

So, we have

P = 4 * (9 x 6 + 11)

Evaluate

P = 260

Hence, the perimeter is 260 units

Answers

THe diagonal, BD divides the rectangle into two right angle triangles.

BD represents the hypotenuse

BC represents the opposite side

DC represents the adjacent side

We would determine BD by applying the pythagorean theorem which is expressed as

[tex]\begin{gathered} \text{hypotenuse}^2=oppositeside^2+adjacentside^2 \\ BD^2=7^2+12^2=49\text{ + 144 = 193} \\ BD\text{ = }\sqrt[]{193} \\ BD\text{ = 13.9 } \end{gathered}[/tex]

The length of the diagonal, BD is 13.9m to the nearest tenth

Hello what is ALL of the answers to this question

Answers

Answer

The function that describes the height of the rocket in terms of the is

[tex]h(t)=-16t^2+224t+68[/tex]

Question Below: It's about functions

Answers

Based on the calculations, the value of function g(f(x)) is equal to: g(f(x)) = x + 10.

What is a function?

A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for uniquely mapping an input variable (x-value) to an output variable (y-value).

In this exercise, you're required to determine the value of g(f(x)) and we are given the following functions:

f(x) = (x + 3)² ........function 1.

g(x) = √x + 7 ........function 2.

Next, we would substitute function 1 into function 2 as follows:

g(f(x)) = √((x + 3)²) + 7

g(f(x)) = (x + 3) + 7

g(f(x)) = x + 3 + 7

g(f(x)) = x + 10

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Find the perimeter of the figure shown. Round your answer to the nearest centimeter. This is for problem number 9

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[tex]\begin{gathered} \text{Triangle A is }an\text{ equilaterial triangle hence} \\ F^2=1.5^2+(\frac{F}{2})^2 \\ \\ F^2=1.5^2+\frac{F}{4}^2 \\ F^2-\frac{F}{4}^2=1.5^2 \\ \frac{3F}{4}^2=1.5^2 \\ F^2=\frac{4(1.5^2)}{3} \\ F=\sqrt[]{\frac{4(1.5^2)}{3}} \\ F=1.73cm \\ \text{From triangle B} \\ D=F=1.73cm \\ \tan (55\text{\degree)=}\frac{G}{D} \\ \text{Solving G} \\ G=D\tan (55\text{)} \\ G=(1.73cm)\tan (55\text{)} \\ G=2.47cm \\ \cos (55)=\frac{D}{E} \\ Solv\text{ing E} \\ E=\frac{D}{\cos(55)} \\ E=\frac{1.73cm}{\cos(55)} \\ E=3.01cm \\ \text{From triangle L} \\ \sin (55)=\frac{J}{G} \\ \text{Solving J} \\ J=G\sin (55) \\ J=(2.47cm)\sin (55) \\ J=2.02cm \\ \cos (55)=\frac{K}{G} \\ \text{Solving K} \\ K=G\cos (55) \\ K=(2.47cm)\cos (55) \\ K=1.42cm \\ \text{Triangle M=L} \\ Hence \\ I=N=J \\ I=2.02cm \\ N=2.02cm \\ H=O=K \\ H=1.42cm \\ O=1.42cm \\ Perimeter=2(1.73cm)+3.01cm+3(2.02cm)+1.42cm \\ Perimeter=13.95cm\approx14cm \\ \text{The perimeter is }14cm \end{gathered}[/tex]

An object is dropped from 34 feet below the trip of the pinnacle atop a 710 fr tall building. The height h if the object after t seconds is given the equation h=-16t to the power of 2 +676 find how many seconds pass baffle the object reaches the ground

Answers

Setting h=0 and solving for t we get:

[tex]\begin{gathered} 0=-16t^2+676, \\ 16t^2=676, \\ t^2=\frac{676}{16}, \\ t^2=42.25 \\ t=\pm\sqrt[]{42.25}. \end{gathered}[/tex]

Since t<0 does not have real meaning, we get that:

[tex]t=6.5.[/tex]

Answer: 6.5 seconds.

of estion Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. 60° X y 93 2 y

Answers

The 30-60-90 ratio is a special right triangle that always has angles with measures: 30º, 60º, and 90º. Its side lengths have also the same relationship one with another.

For any 30-60-90 the ratio is as follows:

The side opposite to the 30º angle has length: z

The side opposite to the 60º angle has a length z√3

The side opposite to the 90º angle has a length: 2z

Following these ratios, you can determine the side lengths of the triangle.

The measure opposite to the 60º angle is z√3 = 9√3 → From this we can determine the value of z, which is z=9

Once we know the value of z, we can calculate the values of the sides opposite to the other angles.

The side opposite to the 30º angle is y= z= 9

The side opposite to the 90º angle is x= 2z= 2*9 = 18

What is the slope of the line that passes through (2,2) and (10,6)

Answers

Given Points are ,

(2,2) and (10,6)

Let slopes be (x1,y1) = (2,2) and (x2,y2)=(10,6)

Now, using slope formula ,

We have , m = y2-y1/x2-x1

=> m = 6-2/10-2

=> m = 4/8

=> m = 1/2 = 0.5 is the required answer!

Evaluate (10 – 41) ÷ (5 + 1).

Answers

Step-by-step explanation:

option B is correct answer

Operations of rational algebraic expression 3/4.9/2

Answers

The solution for the algebraic expression is [tex]3\frac{3}{8}[/tex].

The problem we are dealing with is related to the PEMDAS order of operations, where P stand for parentheses, E stands for Exponents, M stands for Multiplying, D stands for Divide, A stands for Add, and last S stands for Subtract. It's the order we follow to solve a rational algebraic expression.

For the given expression 3/4.9/2, we start solving it from the direction left to right, according to PEMDAS we multiply first followed by dividing

=3x9/4 x2

=27/4/2

=27/8

simplifying the improper fraction to a mixed number

= [tex]3\frac{3}{8}[/tex]

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A hiker began hiking from the 0-mile mark of a trail. The hiker walked at a steady rate of 214 miles per hour. Which diagram best represents this information?

Answers

The diagram which best represents the hiking track of the hiker is attached below.

Speed = Distance / Time

As time increases, speed is constant, i.e., 214 miles per hour

So, the distance increases with an increase in time.

Speed = Distance/Time

Let, Distance = D and Time = T,

214 = D / T

D = 214T

Let, D = Y coordinate, Time = X coordinate

y = 214 x→→Equation of the line passing through the origin and slope 214.

For the given situation, the equation is a linear equation and the equation will be on the y-axis.

Hence, a diagram that represents this information is:

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When Mr. Jackson got in his car yesterday, the odometer read 187,198.9 km. When he got home, the reading was 187,399.4 km. How far did Mr. Jackson drive?

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Answer:

- 200,5

Some words for 20 symbols

what is the range of the function g(x) = -(x+ 2)^2+ 4

Answers

Hope this helps

g(x) =-(x+2)2+4
To find the x-intercept, set y = 0
-(x+2)2+4=0
Solve the equation
x=-4 or x = 0

circumference =33.5, find radius, diameter, area
(CIRCLE)

Answers

Answer: Radius = 5.33

Diameter = 10.66

Area = 89.3

Step-by-step explanation:

Circumference = 2πr

33.5 = 2πr

r = 33.5 / 2π

Diameter = 2r

Area = r²π

Area = 5.33²π

A Banks loan officer rates applicants for credit the ratings can be described by a normal model with a mean of 200 and a standard deviation of 50. If an applicant is selected what percentage can be between 200 and 275?

Answers

Answer:

43%

Step-by-step explanation:

You want to know the percentage of applicants having a rating between 200 and 275, given that applicants have ratings normally distributed with a mean of 200 and a standard deviation of 50.

Area under the Normal PDF

The given percentage can be found using a spreadsheet, suitable calculator, or table of values of the Normal probability function. The attached calculator display shows the percentage to be ...

0.433 × 100% = 43.3%

About 43% of applicants will have a rating between 200 and 275.

1.) You are one of five people who have been hired to mow the lawn at the local college. Each week, the dimensions of the plot you are responsible to mow changes. The college conducts a lottery, and whichever number is drawn, represents the x value. Your plot has a length which is five more than two times x and the width is three less than three times x. a.) What are the dimensions of your mowing plot? (2 points) Length: ______________________________________ Width: ______________________________________ x=13 meters

Answers

The dimensions of your mowing plot if x = 13 meters is;

Length = 31 meters

Width = 36 meters

How to solve Algebra Word Problems?

We are told that Your plot has a length which is five more than two times x and the width is three less than three times x

This means that, the length given as words is "5 more than 2 times x" and the width given as words is "3 times x minus 3"

The expression for length would be 2x + 5

The expression for width would be 3x - 3

Now, if x = 13 meters, then we see that;

Length = 2(13) + 5 = 31 meters

Width = 3(13) - 3 = 36 meters

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What would step 3 look like after you have added the two equations?

Answers

[tex]\begin{gathered} 8x-10y=20 \\ -8x-6y=-4 \\ -16y=16 \end{gathered}[/tex]

Adding the two equations will be adding similar terms to both equations. That is:

8x + (-8x) = 0

-10y + (-6y) = -16y

20 + (-4) = 16

Therefore, adding the two equations will look like -16y = 16. (Option 3)

The graph to the right is the uniform probability density function for a friend who is x minutes late.
(a) Find the probability that the friend is between 10 and 20 minutes late.
(b) It is 10 A.M. There is a % probability the friend will arrive within how many minutes?

Answers

Using the uniform distribution, it is found that:

a) The probability that the friend is between 10 and 20 minutes late is of 1/3.

b) There is a 30% probability that the friend will arrive within 9 minutes.

Uniform distribution

The uniform has two bounds, a and b, and each outcome of the distribution is equally as likely.

From the image given at the end of the answer, the bounds are given as follow:

a = 0, b = 30.

The probability of finding a value between c and d in the distribution is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

Hence, the probability that the friend is between 10 and 20 minutes late is given as follows:

P(10 <= X <= 20) = (20 - 10)/(30 - 0) = 1/3.

The 30th percentile of the distribution, which is what item b is asking, is given as follows:

0.3 x (30 - 0) = 0.3 x 30 = 9 minutes.

Missing information

The complete problem is given by the image at the end of the answer.

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If f(x) = -x-11, find -3f(5) x f(2)

Answers

Given the function :

[tex]f(x)=-x-11[/tex]

we need to find the value of 3f(5) x f(2)

so, to find the value of f(5), substitute with x = 5 at the given function

And to find the value of f(2) , substitute with x = 2 at the given function

so,

[tex]\begin{gathered} f(5)=-5-11=-16 \\ \\ f(2)=-2-11=-13 \\ \\ 3f(5)\cdot f(2)=3\cdot-16\cdot-13=624 \end{gathered}[/tex]

so far carmella has collected 14 boxes of baseball cards there are 315 cards in each box carm,ella estimsates that she has about 3,000 cards so she buys 6 albuns that hold 500 cards each.how many cards does carmella have?

Answers

Carmella has 9 albums and 4410 cards.

A unitary method is defined.

The unitary approach involves calculating the value of a single unit, from which we can calculate the values of the necessary number of units.

Due to that,

There are 315 cards in each box.

14, the number of boxes.

(b) Total number of cards is the sum of the boxes plus the number of cards in each box.

= 14 × 315

= 4410

(a) Carmella purchased a six-album set of 500 cards since she thought she had 3,000 cards. Six albums are not enough because she calculated the quantity of cards incorrectly. There are 4410 cards in total, but she thought there were only 3000.

(c). Total number of albums required = [tex]\dfrac{Total number of cards}{Number of card 1 album can hold}[/tex]

= [tex]\frac{4410}{500}[/tex]

= 8.82 ≅9

Carmella have 4410 cards, 9 albums.

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help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Hello!

For a line with slope '0':

⇒ the equation is 'y = y-coordinate of point that the line passes through'

Since the line passes through (-1, -4) and has the slope of '0'

⇒ y = -4

Hope that helps!

How can you write the expression (28 + 70) as a multiple of a sum of whole numbers with no common factor?

Answers

The expression (28 + 70) as a multiple of a sum of whole numbers with no common factor is given as

7x(4+10). This is further explained below.

What is an expression?

Generally, An express is a finite combination of symbols that have been formed according to principles that rely on the context in which it is used. In mathematics, an expression is also known as a mathematical expression.

In conclusion, When expressed as a multiple of a total of whole numbers that do not have a common component, the equation (28 + 70) is written as 7 times (4 + 10).