Find the value of each expression.
2h – 4 + 5 if h = 8

Answer:

c) 94.37 is the correct answer.

Step-by-step explanation:

Answer:

[tex]x = 2/5y - 1, y = 5/2x + 5/2[/tex]

Step-by-step explanation:

Step 1:  Solve for x

[tex]5x / 5 = (2y - 5) / 5[/tex]

[tex]x = 2/5y - 1[/tex]

Step 2:  Solve for y

[tex]5x + 5 = 2y - 5 + 5[/tex]

[tex](5x + 5) / 2 = 2y / 2[/tex]

[tex]5/2x + 5/2 = y[/tex]

Answer:  [tex]x = 2/5y - 1, y = 5/2x + 5/2[/tex]

Answer:

The length of the longest side of the triangle is 13 inches

Step-by-step explanation:

step 1

Find the value of x

we know that

The perimeter of triangle is equal to the sum of its three length sides

so

[tex]P=x+(2x+3)+(4x-8)[/tex]

[tex]P=(7x-5) \ in[/tex]

we have

[tex]P=30\ in[/tex]

substitute

[tex]30=(7x-5)[/tex]

solve for x

[tex]7x=30+5\\7x=35\\x=5[/tex]

step 2

Find the length of the longest side of the triangle

Remember that in a right triangle, the longest side is the hypotenuse

so

(2x+3) is the longest side

substitute the value of x

[tex]2(5)+3=13\ in[/tex]

Answer:

He used the wrong expression to represent the area of the base of the pyramid.

Step-by-step explanation:

i just took it yesterday

Vikram made an error in the expression to represent the area of the base of the pyramid. So, Option B is correct.

The surface area of a square pyramid is given by the formula,

[tex]SA=s^2+4(\frac{1}{2}bh)[/tex]

Where, s-length of the side of the square, b- length of the base,

and h- the height of the pyramid.

The square base had a side of length s=34.2 inches

The height h=28.4 inches

The surface area is given by the expression:

[tex]SA=s^2+4(\frac{1}{2}bh)[/tex]

On substituting the values

[tex]SA=(34.2)^2+4(\frac{1}{2}(34.2)(28.4))[/tex]

But Vikram wrote,

[tex]SA=(33.2)(34.2)+4(\frac{1}{2}(34.2)(28.4))[/tex]

So, he used the wrong expression for the area of the base of the pyramid.

Therefore, option B is correct.

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Answer:

-6x+y=0

Step-by-step explanation:

y+6=-6(x+1)

y+6=-6x-6

-6x+y=0

On converting y + 6 = -6(x + 1) to Ax+By=C form, get 6x + y = -6 with A=6, B=1, and C=-6.

To rewrite the equation y + 6 = -6(x + 1) in the Ax+By=C form, where A, B, and C are integers, we need to distribute the -6 and then move all terms involving variables to one side of the equation and the constant term to the other side.

First, distribute the -6:

y + 6 = -6x - 6

Now, move the variable terms to one side by adding 6x to both sides:

6x + y + 6 = 0

Finally, subtract 6 from both sides to isolate the constant:

6x + y = -6

Now the equation is in the desired format with A=6, B=1, and C=-6.

Answer:

0.25

Step-by-step explanation:

Given:

Number of pens in a box = 10

Number of pencils in a box = 15

To find: probability of selecting a pen and then a pencil

Solution:

Probability refers to the chance of occurring of some event.

Probability of selecting a pen and then a pencil = (Probability of selecting a pen) × (Probability of selecting a pencil given that a pen has already been drawn)

[tex]=\frac{10}{25}\times \frac{15}{24}=\frac{150}{600}=\frac{1}{4}=0.25[/tex]

Probabilities are used to determine the chances of events

The probability of selecting a pen and then a pencil is 1/4

The samples are given as:

[tex]Pen = 10[/tex]

[tex]Pencil = 15[/tex]

The total number of items in the box is:

[tex]Box = 10 + 15[/tex]

[tex]Box = 25[/tex]

The required probability is then calculated as:

P = P(Pen) * P(Pencil)

So, we have:

[tex]P =\frac{10}{25} \times \frac{15}{24}[/tex]

Evaluate the product

[tex]P =\frac{150}{600}[/tex]

Simplify

[tex]P =\frac{1}{4}[/tex]

Hence, the required probability is 1/4

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Answer:

zero

Step-by-step explanation:

the answer is zero brainley please don't delete this...  hope this helps with your question! please give me brainiest

The relationship "x divides y" is denoted by the notation x|y. The sign of y divided by x will be positive.

One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The other operations are multiplication, addition, and subtraction.

The relationship "x divides y" is denoted by the notation x|y. Or, to put it another way, y is divisible by x and x is a factor of y.

For instance, the expression 3|15 denotes a division of 15 by 3 because 15=35 and 3 is a component of 15.

Therefore, The sign of y divided by x will be positive.

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Answer:

A. Area total= 30 m2

B. 14 boxes

C. 596.40

D. 477.12

Step-by-step explanation:

A, 3.2 (1.5)  A=4.8 A=6(4.2)= 30m2

B= 30/2.5=  13.95= 14 boxes

C. 12(42.6)=  596.40

D= 80/100= x/596.4 = 477.12

The total area Joe needs to cover with hardwood flooring would determine the number of boxes of flooring he should buy. Assuming the area is 100 square meters, Joe would need 49 boxes, which would cost $2,685.20 without a discount, and $2,148.16 after a 20% discount.

To determine the total area that Joe needs to floor and the number of boxes of flooring he should buy, we need to calculate the square meters of the combined living room and hallway. Unfortunately, the floor plan measurements are not provided in the question, so let's assume we have those measurements. For example, if the living room and hallway together are 100 square meters, Joe will divide the total area by the area covered by one box of flooring to find out how many boxes he needs.

The calculation for the number of boxes is as follows: total area divided by area per box. If each box contains 2.05 square meters of flooring, and the total area is 100 square meters, Joe would need 48.78 boxes. Since he can't buy a fraction of a box, he would need to purchase 49 boxes.

To find the total cost, we multiply the number of boxes by the cost per box. At $54.80 per box, the cost for 49 boxes is $2,685.20. With a 20 percent discount, the new cost is 80 percent of the original cost, which would be $2,148.16 (0.80 x 2,685.20).

Therefore, the correct answer is (D) [tex]$(12.61,16.39)$[/tex]

To calculate the confidence interval for the mean age of cars in the commuter lot, we'll use the formula:

[tex]\[ \text{Confidence interval} = \bar{x} \pm t \left( \frac{s}{\sqrt{n}} \right) \][/tex]

where:

- [tex]\(\bar{x}\)[/tex] is the sample mean age (14.5 years),

- [tex]\(s\)[/tex] is the sample standard deviation (4.6 years),

- [tex]\(n\)[/tex] is the sample size (16),

- [tex]\(t\)[/tex] is the critical value from the t-distribution corresponding to the desired confidence level (90% in this case).

First, we need to find the critical value \(t\) for a 90% confidence level with [tex]\(n-1 = 15\)[/tex] degrees of freedom. Using a t-distribution table or calculator,[tex]\(t \approx 1.753\).[/tex]

Now, we can plug in the values:

[tex]\[ \text{Confidence interval} = 14.5 \pm 1.753 \left( \frac{4.6}{\sqrt{16}} \right) \][/tex]

[tex]\[ \text{Confidence interval} = 14.5 \pm 1.753 \times \frac{4.6}{4} \][/tex]

[tex]\[ \text{Confidence interval} = 14.5 \pm 1.753 \times 1.15 \][/tex]

[tex]\[ \text{Confidence interval} = 14.5 \pm 2.12595 \][/tex]

[tex]\[ \text{Confidence interval} = (12.37405, 16.62595) \][/tex]

Complete question:

Ignacio is curious about the average age of cars in the commuter lot at his large university. He takes a random sample of 16 cars and finds that their average age is [tex]$\bar{x}=14.5$[/tex] years and their standard deviation is [tex]$s_x=4.6$[/tex]years. The distribution of ages in the sample was roughly symmetric with no obvious outliers.

Based on this sample, which of the following is a [tex]$90 \%$[/tex] confidence interval for the mean age of cars (in years) in this commuter lot?

Choose 1 answer:

(A) [tex]$(6.44,22.56)$[/tex]

(B) [tex]$(12.05,16.95)$[/tex]

(c) [tex]$(12.48,16.52)$[/tex]

(D)[tex]$(12.61,16.39)$[/tex]

(E) [tex]$(13.35,15.65)$[/tex]

The 90% confidence interval for the mean age of cars in the commuter lot is (12.48, 16.52). The correct answer is: c) (12.48, 16.52)

Step 1

To determine the 90% confidence interval for the mean age of cars in the commuter lot, we can use the formula for the confidence interval of the mean for a normally distributed sample:

[tex]\[ \text{CI} = \bar{x} \pm t \left(\frac{s}{\sqrt{n}}\right) \][/tex]

Where:

- [tex]\(\bar{x}\)[/tex] is the sample mean (14.5 years)

- [tex]\(s\)[/tex] is the sample standard deviation (4.6 years)

- n is the sample size (16)

- t is the t-value for the 90% confidence level with [tex]\(n-1\)[/tex] degrees of freedom (df = 16 - 1 = 15)

First, we find the t-value for 90% confidence and 15 degrees of freedom. Using a t-table or a calculator, the t-value (two-tailed) is approximately 1.753.

Step 2

Next, we calculate the margin of error:

[tex]\[ \text{Margin of Error} = t \left(\frac{s}{\sqrt{n}}\right) = 1.753 \left(\frac{4.6}{\sqrt{16}}\right) = 1.753 \left(\frac{4.6}{4}\right) = 1.753 \times 1.15 \approx 2.016 \][/tex]

Now, we calculate the confidence interval:

[tex]\[ \text{CI} = 14.5 \pm 2.016 \][/tex]

So, the lower bound is:

[tex]\[ 14.5 - 2.016 = 12.484 \][/tex]

And the upper bound is:

[tex]\[ 14.5 + 2.016 = 16.516 \][/tex]

Thus, the 90% confidence interval for the mean age of cars is approximately:

[tex]\[ (12.48, 16.52) \][/tex]

This interval suggests that we are 90% confident that the true mean age of cars in the commuter lot lies between 12.48 and 16.52 years.

Complete question : Ignacio is curious about the average age of cars in the commuter lot at Mis large university. He takes a random sample of 16 cars and finds that their average age is 2 = 14.5 years and their standard deviation is 8, = 4.6

years. The distribution of ages in the sample was roughly symmetric with no obvious outliers. Based on this sample, which of the following is a 90% confidence interval for the mean age of cars (in years) in this commuter lot?

a) (6,44,22,56)

b) (12,05,16,95)

c) (12,48,16,52)

d) (12,61,16,39)

e) (13,35,15,65)

The distance it covers in 32 revolution is 217.9 ft .

Step-by-step explanation:

Given,

The diameter of the tire of the bike = 26 in

The radius (r) = 13 in

To find the distance it travels in 32 revolutions.

To find the revolution we need to find the circumference.

Formula

The circumference of a circle = 2πr

Now,

The circumference of a circle = 2×[tex]\frac{22}{7}[/tex]×13 in

= 81.71 in (approx)

The distance it covers in 32 revolution is = 81.71×32 in

= 2614.85 in

We know that 1 ft = 12 inch

2614.85 in = 2614.85 ÷ 12 ft = 217.9 ft (approx)

Somebody once told me the world is gonna roll me

I ain't the sharpest tool in the shed

She was looking kind of dumb with her finger and her thumb

In the shape of an "L" on her forehead

Well the years start coming and they don't stop coming

Fed to the rules and I hit the ground running

Didn't make sense not to live for fun

Your brain gets smart but your head gets dumb

So much to do, so much to see

So what's wrong with taking the back streets?

You'll never know if you don't go

You'll never shine if you don't glow

Answer:

2736

Step-by-step explanation:

Formula is 1/3 x base area x height

The volume of the right triangular pyramid is [tex]\(2736 \text{ cm}^3\).[/tex] Therefore, option a is correct.

To find the volume of a right triangular pyramid, you can use the formula:

[tex]\[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \][/tex]

The base area of a right triangular pyramid is given by the formula for the area of a triangle:

[tex]\[ \text{Base Area} = \frac{1}{2} \times \text{Base} \times \text{Height} \][/tex]

Given the dimensions of the right triangular pyramid as [tex]\(36 \text{ cm}\), \(19 \text{ cm}\), and \(24 \text{ cm}\), we have:[/tex]

Base:[tex]\(19 \text{ cm}\)[/tex]

Height of the triangle: [tex]\(36 \text{ cm}\)[/tex]

Height of the pyramid: [tex]\(24 \text{ cm}\)[/tex]

First, let's find the base area:

[tex]\[ \text{Base Area} = \frac{1}{2} \times \text{Base} \times \text{Height} = \frac{1}{2} \times 19 \times 36 \]\[ \text{Base Area} = \frac{1}{2} \times 19 \times 36 = 342 \text{ cm}^2 \][/tex]

Now, let's calculate the volume of the pyramid:

[tex]\[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} = \frac{1}{3} \times 342 \times 24 \][/tex]

[tex]\[ V = \frac{1}{3} \times 342 \times 24 = 2736 \text{ cm}^3 \][/tex]

So, the volume of the right triangular pyramid is [tex]\(2736 \text{ cm}^3\).[/tex]

Answer:The other guy Lied it’s A

Step-by-step explanation:Just took test

Answer:

1420000005.9

Step-by-step explanation:

(4.2*10^8)+(5.9+10^9)

(4.2*100000000)+(5.9+100000000)

420000000+1000000005.9

1420000005.9

Answer:

Final Answer B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer B is correct because all the side lengths are multiply by 3.

5 times 3= 15, 12 times 3=36, and 13 times 3=39.

Have a nice day and stay safe!

Answer:

B= 2:7

Step-by-step explanation:

First add all the marbles.

16+12+4+10

16+12=28

28+4=32+10=42

There are 12 white.

Simplify

12:42= 6:21=2:7

B

Step-by-step explanation:

Because 16+12+4+10= 42

so you have 12 white marble and you have 42 marbles in total so

12 : 42 simplified would be 2 : 7

You were just adding all the other colors and leaving out the white ones but you have to add them all together.

55

Step-by-step explanation:

Answer:

y = - [tex]\frac{1}{2}[/tex] x + 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x - 3 ← is in slope- intercept form

with slope m = 2

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{2}[/tex], thus

y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute (8, 5) into the partial equation

5 = - 4 + c ⇒ c = 5 + 4 = 9

y = - [tex]\frac{1}{2}[/tex] x + 9 ← equation of line

Answer:

32.50

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

-5 ÷ 5/7 = -7. the fives cancel each other out and you're left with -7.

Answer: x^2-10x+24 crosses the x-axis at (4,0) and (6,0)

Step-by-step explanation: (4)^2-10(4)+24 = 0, (6)^2-10(6)+24 = 0.

Answer:

n < 5

Step-by-step explanation:

8n+6 < 46

1. subtract 6 from both sides

       8n < 40

2. Divide both sides by 8

40/8 = 5

So n<5

Answer:

(explanation)

Step-by-step explanation:

[tex]8n + 6 < 46\\8n +6 (-6) < 46 - 6\\8n < 40\\\frac{8n}{8} <\frac{40}{8}\\ n < 5[/tex]

Answer: The factors of 10 are 1,2,5,10

Step-by-step explanation:

Answer:

(-3,0) and (0,-3)

Step-by-step explanation:

When you are looking for an intercept one of the coordinates is going to be 0.

The line or linear function which has a y-intercept at -3 will be that line that passes through (-3,0) and (0, -3).

A straight line on the coordinate plane is represented by a linear function.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

F(x) = x is a line through the origin and is the parent linear function.

In another word, a linear function is a function that varies linearly with respect to the changing variable.

A linear function has a single and unique constant slope.

In the given problem the line which intercepts y at -3 will be that line in which one y coordinate should be -3 since, it is coordinated with 0, -3)  hence, it will be the correct answer.

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Answer:

D 12

Step-by-step explanation:

The product of the lengths of the segments of one chord equal the product of the segments of the other.

x*4 = 6*8

4x = 48

Divide each side by 4

4x/4 = 48/4

x = 12

Answer:

4x-2

Step-by-step explanation:

hope this helps

Answer:

D

Step-by-step explanation:

If (2,-7) and (8,15) is the end points of the diameter, they must be on the circle.

Here is a graph: search up  https:// www .  desmos. com /calculator/ yl9uiyhttps, sorry I couldn't put up a link cause of brainly. Type it in without spaces.

Answer:

D

Step-by-step explanation:

Answer:

5/1

Step-by-step explanation:

Answer:

You find the area first

L x W of the rectangle only.

To find volume : you find the depth of the square and multiply this by the area above.

Whatever the number is you add 'unit sq'

Lets say the rectangular prism measured L12 units x W6units x D4units

A =72unit square

V = D4 x A72 = 4 x 72 = 288unitsq cubes

Step-by-step explanation: