Work out the surface area of this solid
prism.
10cm
8cm
27cm
6cm
17cm
30cm
The diagram is not drawn to scale.

The given  expression √(a³-7)+ | b |, when a = 2 and b = -4, the value of the expression is, 5

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

The expression,

√(a³-7) + | b |

where, a = 2

b = -4

Now, by putting values of a and b in the given equation,

⇒ √(a³-7) + | b |

⇒ √(2³-7) + | -4 |

For whatever value of x, |x| will give always positive value

So, now it can be further written as,

⇒   1  + 4

⇒   5

Hence, the value is 5

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The surface area can be calculated below

Step-by-step explanation:

Find the factors of x that makes it zero.. Equate the equation to y and use it to find the value of y. Then get your values for x and y and plot the graph

Answer:

hello your question has some missing parts below is the missing part

Given below are the analysis of variance results from a Minitab display. Assume that you want to use a 0.05 significance level in testing the null hypothesis that the different samples come from populations with the same mean.

Identify the p-value.

Source DF SS MS F p

Factor 3 13.500 4.500 5.17 0.011

Error 16 13.925 0.870

Total 19 27.425

A) 0.011 B) 4.500 C) 5.17 D) 0.870

answer :  p-value = 0.011 ( A )

Step-by-step explanation:

using this information

Source DF SS MS F P

Factor 3 13.500 4.500 5.17 0.011

Error 16 13.925 0.870

Total 19 27.425

significance level = 0.05

given that the significance level = 0.05

and

F statistics are given as :  F = 5.17 , F critical = 3.25

hence the p-value = 0.011

from the analysis the p-value is less than the significance level is lower than the significance level

Answer:

Step-by-step explanation:

I know what your thinking YOU DIDNT ANSWER!!!!! but think again i did, it is just an imaginary answer. dad jokeCRINGE!!!!!

Answer:

2 imaginary numbers

Step-by-step explanation:

x^2-7x+13=0

C=(-7)^2-4x1x13

D=-3

2 imaginary numbers

Answer:

x = 145

Step-by-step explanation:

x and 35° lie on a straight line and are supplementary angles , sum to 180°

x + 35 = 180 ( subtract 35 from both sides )

x = 145

The correct statement regarding the transformation is given as follows:

Dilation bu a scale factor of 0.5 about the origin. Then reflect over the x-axis.

The true statements about the dilation are given as follows:

A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.

For this problem, the coordinates of the dilated line segment are half the coordinates of the original line segment, hence the scale factor is given as follows:

k = 0.5.

The y-coordinate then has the signal exchange, hence the figure is also reflected over the x-axis.

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Answer:

8

Step-by-step explanation:

2x² + 3x - 6

plug in x with 2

2(2)^2+3(2)-6

2(4)+6-6

8+6-6

14-6

8

Answer:

5 seconds per foot

Step-by-step explanation:

Answer:A

Step-by-step explanation:

Answer:

right triangle

Step-by-step explanation:

Answer:

Right triangle.

Step-by-step explanation:

The amount of fabric used to make the number cube is given as follows:

C. 294 cm².

The amount of fabric used to make the number cube is represented by the surface area of the number cube.

The surface area of a cube of side length a is given by the equation presented as follows:

S = 6a².

The side length for this problem is given as follows:

a = 7 cm.

Hence the surface area of the cube is calculated as follows:

S = 6 x 7²

S = 294 cm².

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Answer:

D

Step-by-step explanation: i believe it is D

Answer:

$34

Step-by-step explanation:

price of the product = $40

coupon = 15% off

discount price = 15% of price of a product

=15/100 * $40

=$600/100

=$6

New price of the product = original price - discount

=$40 - $6

=$34

The five credit score tiers are listed in ascending order, starting with the lowest tier:

Deep Subprime < Subprime < near prime < prime < superprime

The ability of a consumer to get credit may be significantly influenced by their credit score. These interactive graphs demonstrate how lending behavior has changed for different credit score profiles of borrowers.

We concentrate on the following five commercially available credit score levels:

Subprime's credit scores is between 580 to 619.

Prime's credit score level is between 660 to 719.

The credit score level of deep subprime is below 580.

The credit score level of near prime is 620 - 659.

The credit score level of superprime is 720 or above.

Therefore, the five tires of credit scores from lowest to highest are:

Deep Subprime < Subprime < near prime < prime < superprime

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We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.

a) The problem asks for the volume of ice cream in one scoop.

b) The given fact is that the radius of the scoop is 2 inches.

c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.

d) Number Sentence:

  - Given: Radius (r) = 2 inches

  - Formula: V = (4/3)πr³

  - Substituting the value: V = (4/3)π(2)³

  - Simplifying: V = (4/3)π(8)

  - Evaluating: V = (4/3)(3.14)(8)

  - Multiplying: V = 33.49333333 (approx.)

e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.

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The product and the sum of the functions will be 3x² - 6x - 24 and 4x + 2. The value of the function (f - g) at x = 4 is negative 18.

In mathematics, functions are everywhere and are necessary for constructing physical connections. A function is a statement, rule, or law that establishes the connection between two variables.

The functions are given below.

f(x) = x - 4

g(x) = 3x + 6

Then the product of the functions will be

(f × g)(x) = (x - 4)(3x + 6)

(f × g)(x) = 3x² -12x + 6x - 24

(f × g)(x) = 3x² - 6x - 24

Then the sum of the functions will be

(f + g)(x) = x - 4 + 3x + 6

(f + g)(x) = 4x + 2

Then the difference in the functions at x = 4 will be

(f - g)(4) = (x - 4) - (3x + 6)

(f - g)(4) = x - 4 - 3x - 6

(f - g)(4) = -2x - 10

(f - g)(4) = -2 (4) - 10

(f - g)(4) = -8 -10

(f - g)(4) = -18

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Answer:

y = \(\frac{-1}{6}\)x - \(\frac{7}{3}\)

Step-by-step explanation:

1. Find the slope -3- -2 / 4 - -2  so -3+2/4+2, -1/6 so m = -1/6

2.  Find y intercept (b)   y = mx + b so -2 = -1/6(-2) + b, -2 = 1/3 + b

b = -2-1/3, b = -6/3 - 1/3, so b = -7/3

3.  Put it all together y = mx + b so y = -1/6x -7/3

Answer: 398m

Step-by-step explanation: 1,000 - 602 = 398

Answer:

Step-by-step explanation:

We know that 1 kilometre is equivalent to 1,000 metres.

So Peg rode 1,000 metres and Lauren rode 602 metres.

Now we must find the difference between the distances.

To find the difference, we need to subtract Peg's distance by Lauren's distance

1,000 - 602 = 398 metres

So 398 metres is your final answer.

Using translation concepts, it is found that the correct option is:

D. It is the graph of  translated 3 units up and 7 units to the right.

The parent function is:

\(f(x)=y=1nx\)

Shifting a function a units to the right is equivalent to finding f(x - a), thus:

\(f(x-7)=1n(x-7)\)

Shifting a function a units up is equivalent to finding f(x) + a, thus:

\(f(x-7)+3=1n(x-7)+3\)

Which means that the function was shifted 7 units to the right and 3 up, thus, option D is correct.

We get that the cost of the battery is $ 8.24 per battery.

We are given that the cost of 88 batteries = $ 724.72

We need to find the cost of one battery.

We will do this by diving the cost of 88 batteries by 88.

Using division, we get that:

cost of one battery = $ 724.72 ÷ 88

Simplifying the expression, we get that:

cost of one battery = $ 8.24 per battery.

Therefore, we get that the cost of the battery is $ 8.24 per battery.

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Answer:

DC = 5

Step-by-step explanation:

Since the triangles are congruent

AB = DE

BC = DC

BC = 5  so DC = 5

At the end of 6 months she will have $410 when calculated using simple interest.

What is simple interest?

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.

Main Body:

Principle =$400

Rate = 5%

Time = 6 months = 1/2 years

Simple interest = P*R*T/100

S.I. = 400*5*(1/2)/100

S.I. = 10

Hence total amount is 400+ 10= $410.

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The amount that Ethan pays for the video game is 47.988.

From the information illustrated, it should be noted that it was stated that Ethan buys video games for 39.99 sale on 20% tax.

In this case, the amount that he will pay will be:

= Original amount + Tax

= 39.99 + (20% × 39.99)

= 39.99 + 7.998

= 47.988

The amount is 47.988.

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Complete question

Ethan buys vidio games for 39.99 sale on 20% tax how much ethan payed

Answer:

use the quadratic formula, factor it

Answer:

the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.

Answer:

k is equal to 42

Step-by-step explanation:

Answer:

0.022

Step-by-step explanation:

let me explain the number before the decimal is the whole number now what ever is behind the decimal izs a decimal for example 0.1 is 0 and the .1 is the tenth

Answer:

a) 16

b) 36

c) 4

d) 81

Explanation:

Finding the square root of a number is the inverse operation of squaring that number. Remember, the square of a number is that number times itself. The perfect squares are the squares of the whole numbers. The square root of a number, n, written below is the number that gives n when multiplied by itself.

The figure can be decomposed into four rectangles of the figure can be decomposed into four trapezoids with a height of 3 in. and a base of 2 in. and 5 in. The area of the shaded region is 21 square in.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

The area of the shaded part of the figure below can be determined in different ways.

Then the figure can be decomposed into four rectangles of the figure can be decomposed into four trapezoids with a height of 3 in. and a base of 2 in. and 5 in.

Then the area of the shaded region will be

\(\rm Shaded \ area = 5^2 - 2^2\\\\Shaded \ area = 25 - 4\\\\Shaded \ area = 21\)

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The figure can be decomposed into two 5 in. by 1.5 in. and two 2 in. by 1.5 in. rectangles, or the figure can be decomposed into 4 trapezoids with heights of 1.5 in. and bases of 2 in. and 5 in.

Using either method, the total area of the shaded figure is 21 square inches.