Find the surface area of each prism below

Answer:

Step-by-step explanation:

Simplifying

2xs = 18

Solving

2sx = 18

Solving for variable 's'.

Move all terms containing s to the left, all other terms to the right.

Divide each side by '2x'.

s = 9x-1

Simplifying

s = 9x-1

The area of the triangular yard is 7000 ft².

The entire area enclosed by three sides of a triangle is the area of it.

Given,

The base of the triangle is 200 feet and the height of the triangle is 70 feet.

Therefore, the area of the triangle

= (1/2) × base of the triangle × height of the triangle =  (1/2) × 200 × 70 ft² = 7000 ft².

Learn more about the area of a triangle here: https://brainly.com/question/22625791

#Tag #SPJ2

Answer:

ed

Step-by-step explanation:

The range of the function g(x) = |x - 12| - 2 is {y | y > -2}, indicating that the function can take any value greater than -2.

To find the range of the function g(x) = |x - 12| - 2, we need to determine the set of all possible values that the function can take.

The absolute value function |x - 12| represents the distance between x and 12 on the number line. Since the absolute value always results in a non-negative value, the expression |x - 12| will always be greater than or equal to 0.

By subtracting 2 from |x - 12|, we shift the entire range downward by 2 units. This means that the minimum value of g(x) will be -2.

Therefore, the range of g(x) can be written as {y | y > -2}, which means that the function can take any value greater than -2. In other words, the range includes all real numbers greater than -2.

Visually, if we were to plot the graph of g(x), it would be a V-shaped graph with the vertex at (12, -2) and the arms extending upward infinitely. The function will never be less than -2 since we are subtracting 2 from the absolute value.

for similar questions on  range of the function.

https://brainly.com/question/29017978

#SPJ8

Answer:

3 7/9

Step-by-step explanation:

Answer:

\( \frac{135 \times {10}^{ - 9} }{.0005 \times {10}^{ - 5} } = \frac{135 \times {10}^{ - 9} }{5 \times {10}^{ - 9} } = 27 = \frac{27}{1} \)

The ratio of the size of cell A to the size of cell B is 27, or 27/1.

Answer:

45 and 14 are the correct answer

Answer:

The square root of 37 is approximately 6.0827. To determine which two integers it lies between, we can find the integers that are closest to the square root of 37.

The integer that is smaller than 6.0827 is 6, and the integer that is larger than 6.0827 is 7.

Therefore, the square root of 37 is between the integers 6 and 7.

Answer:

C the number of toothbrushes :)

Step-by-step explanation:

You can show how many were given away each month on a dot plot :)

The others would not make sense with the dot plot :)

Haeva great day!

Please rate and mark brainliest!

The standard form for a linear equation is: ax + by + c = 0

Once we move all the variables and constants to one side, we get the standard form for a linear equation

\(y = \frac{2}{5} x - 7\\y -\frac{2}{5}x = -7\\ y - \frac{2}{5}x + 7 = 0\\\)

Hope that helps!

In light of this, 9 is the smallest positive integer that can be expressed as the sum of two cubes stated in two separate ways.

In statistics, an integer refers to any number that is not a fractional or a decimal and can be good, negative, or zero. A subset of real numbers called integers can be seen on a number line. Integers include things like -3, -2, -1, 0, 1, 2, 3, and so forth. Integers are utilised in algebra, numerical methods, and other areas of mathematics in addition to basic operations like addition, deletion, multiplication, and division.

given

Trying various numbers for a and b before figuring out c and d is one technique to go forward. As an illustration, let's start with a = b = 1:

\(1^3 + 1^3 = 2\)

Due to the following values of a and b, 2 is not a perfect cube.

\(2^3 + 1^3 = 9\)

We can attempt all values of c and d such that c3 + d3 = 9 to see if we can discover another pair of cubes that add up to 9:

\(c = 0, d = 2: 0^3 + 2^3 = 8\\c = 1, d = 2: 1^3 + 2^3 = 9\\c = 2, d = 1: 2^3 + 1^3 = 9\\c = 2, d = 0: 2^3 + 0^3 = 8\)

In light of this, 9 is the smallest positive integer that can be expressed as the sum of two cubes stated in two separate ways.

To know more about integer visit:

https://brainly.com/question/15276410

#SPJ1

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

The point at which the graph of the line y = 4x + 3 crosses the y-axis is 3.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of a line y = 4x + 3

The graph of the line crosses the y-axis when x = 0.

This is called the y-intercept.

There are two ways to get the y-intercept point.

From the definition of the equation of a line in slope intercept form we have,

y = mx + c

Where c is the y-intercept.

y = 4x + 3

So,

c = 3

We can also find the y-intercept when x = 0.

y = 4x + 3

y = 4 x 0 + 3

y = 3

Thus,

The point at which the graph of the line y = 4x + 3 crosses the y-axis is 3.

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ2

The correct statements about the solids are:

To find which statements are correct:

Congruent base: This is used to indicate that the triangles' bases are the same and that they have the same shape.

The volume of the first triangle is: \(2x^{2} h\)

The volume of the second triangle is: \(x^{2} h\)

Therefore, the correct statements about the solids are:

Know more about solids here:

https://brainly.com/question/21036176

#SPJ4

The complete question is given below:
One rectangular solid with a square base has twice the height of another rectangular solid with a square base with the same side length. Which statements about the two rectangular solids are true? Check all that apply.

A) The bases are congruent.

B) The solids are similar.

C) The ratio of the volumes of the first solid to the second solid is 8:1.

D)The volume of the first solid is twice as much as the volume of the second solid.

E) If the dimensions of the second solid are x by x by h, the first solid has 4xh more

surface area than the second solid.

Answer:

Parallel Line: -1/4x Perpendicular Line: 4x

Step-by-step explanation:

Answer:

$220.50

Step-by-step explanation:

245.00×10%=24.50

245.00-24.50=220.50

Answer:

$24.50

Step-by-step explanation:

The conclusion that can be drawn from the given premises is A) Our actions are not free.

The first premise states that if our actions are free, then we must be able to act differently from the way we do act. The third premise states that if our actions are free, then we can act differently from the ways we do act. However, the second premise states that our beliefs and desires cause our behaviors and if our beliefs and desires cause our behaviors, then we cannot act differently from the ways we do act. These premises lead to the conclusion that our actions are not free, as our behaviors are determined by our beliefs and desires and we cannot act differently from the ways we do act. Therefore, option A is the correct conclusion that can be drawn from the given premises.

Learn more about premises here

https://brainly.com/question/31260048

#SPJ11

A percentage is essentially a fraction, but lazily written. Think of a percent as 25/100, or 0.25.

Now multiply the two.

0.25x5/8.

We need to convert 5/8 to a decimal, which is 0.625.

0.25x0.625=0.15625.

Now convert the decimal to a fraction, which is 5/32.

---

hope it helps

Answer:

first make 1/5 into 2/10 it will help

Step-by-step explanation:

Explanation: Its really similar to solving an equation, so all I did was add 2 to both sides :)

If two independent large samples are taken from two populations, the sampling distribution of the difference between the two sample means can be approximated by a normal distribution.

The correct answer is (c) the sampling distribution of the difference between two sample means can be approximated by a normal distribution.

This is due to the Central Limit Theorem, which states that the sampling distribution of a large sample size will approach a normal distribution, regardless of the shape of the population distribution.

The variance of the sampling distribution of the difference between the two sample means can be estimated using standard formulas, and it will depend on the sample sizes and the variances of the two populations.

Therefore, options a, b, and d are incorrect.

The correct answer is (c)

For similar question on sampling distribution.

https://brainly.com/question/30509642

#SPJ11

Answer:

4/5 of an hour

Step-by-step explanation:

1/2 = 5/10 so 5/10 + 3/10 = 8/10. Simplify by 2 and you get 4/5.

Each model should be produced on a weekly basis to maximize net profit is $75,900.

What is Net profit?

In both business and accounting, net income or profit is an entity's revenue less cost of goods sold, costs, depreciation and amortisation, interest, and taxes for a certain accounting period.

As given,

Number of products sold:

T ≥ 1.5G

Maximize Profit Z = 150T + 130G

Labor Constraint:

Labor hours Available:

Production Department:

Number of labor hours available per day = 58 × 7 = 406

Number of days in a week = 5

Number of lobor ours available per week = 406 × 5 = 2030

Assembly Department:

Number of labor hours available per day = 25 × 7 = 175

Number of days in a week = 5

Number of labor hours available per week = 175 × 5 = 875.

Labor hours Required:

Labor hours required for G1 model:

Labor hours required at Production department = 3.5G

Labor hours required at assembly department = 2G

Labor hours required for T1 model:

Labor hours required at Production department = 4T

Labor hours required at Assembly department = 1.5T

Total labor hours required at Production department = 3.5G + 4T

Total labor hours required at Assembly department = 2G + 1.5T.

Constraint:

Labor hours required ≤ Labor hours Available.

Production department Labor constraint

3.5G + 4T ≤ 2030

Assembly department Labor constraint:

2G + 1.5T ≤ 875

The function:

Maximum Profit Z = 150T +130G

Constraint:

3.5G +4T ≤ 2030

2G + 1.5T ≤ 875

T ≥ 1.5G

Suppose that for example:

10.5G +12T = 6090

 16G + 12T = 7000

Solve both equations simultaneously,

5.5G = 7000 - 6090

5.5G = 910

    G = 910/5.5

    G = 363

Since, T > G

Hence,

T = 363,

G = 165

Calculate Profit:

150T + 130G = 150 × 363 + 130 × 165

                     = 54450 + 21450

                     = 75900

Hence, each model should be produced on a weekly basis to maximize net profit is $75,900.

To learn more about Net profit from the given link.

https://brainly.com/question/28390284

#SPJ4

McDonald's uses Collaborative Planning, Forecasting, and Replenishment (CPFR) to optimize its supply chain operations, employing time series and linear trend forecasting for accurate demand projections and efficient inventory management.

In conclusion, McDonald's uses CPFR and time series/linear trend forecasting to optimize the supply chain, improve inventory management, and enhance customer satisfaction.

For more such questions on CPFR :

https://brainly.com/question/14840253

#SPJ8

The answer to the given normal distribution-based question is (a) 0.7486, which means that around 75% of the population has an IQ between 90 and 110.

The proportion of the population that falls within the average IQ range of 90 to 110 can be found by calculating the area under the normal distribution curve between these two values. Since the mean of the distribution is 100 and the standard deviation is 15, we can use the standard normal distribution table or calculator to find the corresponding z-scores for the lower and upper bounds of the range.

The z-score for an IQ of 90 is (90-100)/15 = -0.67, and the z-score for an IQ of 110 is (110-100)/15 = 0.67. Using the standard normal distribution table or calculator, we can find the area between these two z-scores, which is approximately 0.7486.

Therefore, the answer is (a) 0.7486, meaning that about 75% of the population falls within the average IQ range of 90 to 110.

Learn more about normal distribution:

https://brainly.com/question/25224028

#SPJ11

The explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536

The given sequence is -4, 16, -64, 256,...

If we observe the sequence it is a geometric sequence

aₙ=a.rⁿ⁻¹

a is the first term and r is the common ratio

From the sequence the first term is -4 and common ratio is -4

aₙ=(-4).(-4)ⁿ⁻¹

Plug in the value n as 8

a₈=(-4).(-4)⁷

The value of minus four power seven is minus sixteen thousand three hundred eighty four

a₈=(-4)(-16384)

When four is multiplied with sixteen thousand three hundred eighty four we get sixty five thousand five hundred thirty six

a₈= 65536

Hence, the explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536

To learn more on Sequence click:

https://brainly.com/question/21961097

#SPJ1

Step-by-step explanation:

open the bracket

6={(1/5×4y) + 1/5×10}

6=4/5y+2

6-2=4/5y

4=4/5y

divide both sides by 4/5

y=1/5

The answer you are looking for is y=5.

Solution/Explanation:

Writing out the problem,

6=1/5(4y+10)

Using the Distributive Property,

6=4/5y+2

Subtracting 2 from both sides of the equation,

6-2=4/5y

4=4/5y

Multiplying both sides by 5, to transform the fraction into a whole number,

20=4y

Finally, dividing both sides by 4,

So, therefore the final answer is y=5.

The truck can carry a maximum weight of 1,600 pounds. To determine the number of boxes that can be loaded, we divide the available weight capacity by the weight of each box, which gives us 24 boxes.

The truck's maximum weight capacity is 1,600 pounds. Since the piano weighs 400 pounds, we subtract that weight from the maximum capacity to find the available weight capacity for the boxes: 1,600 pounds - 400 pounds = 1,200 pounds.

Each box weighs 50 pounds. To find the number of boxes that can be loaded, we divide the available weight capacity by the weight of each box: 1,200 pounds ÷ 50 pounds = 24 boxes.

Therefore, the truck can carry a maximum of 24 boxes, weighing 50 pounds each, in addition to the 400-pound piano, while staying within its weight capacity of 1,600 pounds.

Learn more about capacity here:

https://brainly.com/question/28475792

#SPJ11

Answer:

2,3

Step-by-step explanation:

Answer:

(2,3) if the distance between each line is 1.

Step-by-step explanation:

Answer:

C

Step-by-step explanation: