can someone please do 13 &14

The shapes of the cross sections formed by the vertical plane that divides the solid into two congruent shapes is a composite figure with two triangles and rectangles

Given data ,

Let the shapes of the cross sections formed by the vertical plane that divides the solid into two congruent shapes be A and B

Now , on dividing the solid , we get

Two triangles on the opposite sides of the figure

And , rectangles on each adjacent sides of the figure

Hence , the congruent shape has 2 rectangles and 2 triangles

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The value of y at the value of x = 13 is,

⇒ y = 78

We have to given that;

The value of y varies directly with x.

And, at y = 102 then x = 17

Since, The value of y varies directly with x.

Hence, We get;

⇒ y = kx

at y = 102 then x = 17;

⇒ 102 = k × 17

⇒ k = 102 / 17

⇒ k = 6

Hence, Equation is,

⇒ y = 6x

Plug x = 13;

⇒ y = 6 × 13

⇒ y = 78

Thus, The value of y at the value of x = 13 is,

⇒ y = 78

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Step-by-step explanation:

it says "college" in the headline of this question.

are you serious ?

this is an upper elementary or beginning of middle school problem.

if you have a problem with such a question in college, you really have a problem and would need intensive tutoring (you need to recover everything from the beginning of math).

in such problems, to find your way, always try to find the amount represented by 1 unit.

everything else can be then calculated in relation to that one unit.

3 cars cost $2.46

1 car costs therefore 1/3 of that :

2.46/3 = $0.82

and 25 cars cost then 25 times that of a single car :

0.82 × 25 = $20.50

in short, the direct approach is

$2.46 × 25/3 = $20.50

Answer: A

Step-by-step explanation:

Well when we use a calculator to determine the square root of 158 we get= 12.56980509.

And so option A woud be closest, smallest difference between all.

Answer: A

Step-by-step explanation: Square root of 158 simplified is 12.5698

Understanding the underlying ideas or concepts that govern a certain subject is known as conceptual knowledge.

It is understanding of the "big picture" and how various facts relate to one another. Contrarily, procedural knowledge describes the capacity to implement a series of processes or actions in order to accomplish a particular objective or address a challenge. It is the ability to "do" something.

For instance, making a cake takes both procedural knowledge—such as knowing how each ingredient fits into the recipe—and conceptual knowledge—such as knowing how to combine the ingredients in the right order and gauge the cake's doneness.

Both kinds of knowledge are necessary for success in any task or field.

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A math ACT score of 19.55 or lower corresponds to the 30th percentile of scores at this college.

To do this, we can use a standard normal distribution table or a calculator with a normal distribution function. The standard normal distribution is a special case of the normal distribution with a mean of 0 and a standard deviation of 1.

By using a table or calculator, we can find the z-score that corresponds to the 30th percentile. The z-score represents the number of standard deviations away from the mean that a certain point is. Once we have the z-score, we can use it to find the actual math ACT score by using the formula:

actual score = mean + (z-score)(standard deviation)

If we use a standard normal distribution table, we can find that the z-score corresponding to the 30th percentile is -0.52. Therefore, the math ACT score that corresponds to the 30th percentile at this college is:

actual score = 21.8 + (-0.52)(4.9) = 19.55

In other words, 30% of the scores are below 19.55, and 70% of the scores are above 19.55.

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The function is solved and f(x) represents the total number of hours; x represents the number of weeks he exercises this summer

Given data ,

Luke is keeping track of the total number of hours he exercises. He started the summer having already put in 15 hours, and he then exercises 7 hours each week.

So , the function is given by

The function to keep track of his exercise is f(x) = 7x + 15

On simplifying the equation , we get

f(x) represents the total number of hours; x represents the number of weeks he exercises this summer

Hence , the function is f(x) = 7x + 15

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The sentence that correctly uses commas to separate coordinate adjectives is D. Shannon signed up for the challenging, writing course at the local, community college.

Words that describe or provide details about a noun are called adjectives. Two or more adjectives are referred to as coordinate adjectives when they are used to describe the same noun. 'And' or a comma are used to separate them every time.  These must be properly used, else a reader can mistake adjectives for a single modifier rather than a pair of coordinates.

The comma should be placed between any two or more adjectives that equally modify the same noun, and their order doesn't have to change the meaning, according to the guideline for using commas to separate coordinate adjectives in sentences. Option D includes the coordinate adjectives "challenging" and "writing" that equally modify the noun "course," as well as the coordinating adjectives "local" and "community" that equally modify the noun "college."

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The sample mean to deviate from the population mean by approximately 0.394 points.

According to the central limit theorem, the standard deviation of the sample mean can be calculated by dividing the population standard deviation (in this case, 6.1) by the square root of the sample size (in this case, 240). This means that the standard deviation of the sample mean for this high school would be:

standard deviation of sample mean = population standard deviation / square root of sample size

= 6.1 / √(240)

≈ 0.394

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Answer:

4 and -4

Step-by-step explanation:

4²=16

-4²=1

The two values that f could be if f² is 16 are +4 and -4 because both the positive and negative square roots are considered in solving the equation f² = 16.

The solution to the equation f² = 16 is found by taking the square root of both sides. However, when we take the square root in solving an equation, we need to consider both the positive and negative roots. The square root of 16 is +4 and -4. These are the two possible solutions for f in the equation f² = 16.

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Answer:

By copying the given statements from the original problem

No. D

I hope it helped you.

Please Mark me the brainliest

Answer:

Hey, when writing a proof, the first statement should be based on the given information or assumptions, and it should be written in the left column of the proof. To get started, it's best to look at the "given" statements from the original problem and use those as your starting point. This first statement sets the foundation for the logical progression of the proof.

It's important to remember that each subsequent statement should be logically connected to the previous ones, and should lead towards the final statement or conclusion that you're trying to prove. To make your proof convincing, you should also include a justification for each statement that you make, which goes in the right column of the proof.

Overall, constructing a proof can take some time and effort, but by following a clear and logical progression, you can create a solid and convincing argument for your claim.

Step-by-step explanation:

the number of 5p = 2x

and the number of 20p = x

the total value = y

(2x)*(.05) + (x)*(.20)= y .......eqa1

if all 5p became 20p

20p = 2x

5p = x

(x)*(.05) + (2x)*(.20)= y+6 ..... eqa2

subtract the equations

eq2 - eq 1

======================

0.05x + 0.4x =y+6

-

0.1x + 0.2x = y

======================

0.45x= y+6

-

0.3x =y

= 0.15x = 6

x = 40

so number of 5p = 80 coins

and number of 20p = 40 coins

Answer:

40 cm²

Step-by-step explanation:

The surface area of a square-based pyramid is made up of:

The area of a square is the square of its side length.

Given the side length of the square base is 4 cm, the area of the base is:

[tex]\begin{aligned}\implies \sf Area\;of\;square\;base&=4^2\\&=4 \cdot 4\\&=16\;\sf cm^2\end{aligned}[/tex]

The area of a triangle is half the product of its base and height.

Given the base of the triangular side is 4 cm and its height is 3 cm, the area of one triangular side is:

[tex]\begin{aligned}\implies \sf Area\;of\;one\;triangular\;side&=\dfrac{1}{2}\cdot 4 \cdot 3\\&=2 \cdot 3\\&=6\;\sf cm^2\end{aligned}[/tex]

Therefore, the total surface area of the square pyramid is:

[tex]\begin{aligned}\implies \sf Total\;surface\;area&=\sf square\;base+ 4\; triangular\;sides\\&=\sf 16\;cm^2+4 \cdot 6\; cm^2\\&=\sf 16\; cm^2+24\;cm^2\\&=\sf 40\;\sf cm^2\end{aligned}[/tex]

The value of probability is, 1/9

Now, For the first die, the probability that the number is less than 3 is,

⇒ 2/6

⇒ 1/3

because there are only 2 numbers (1 and 2) which are less than 3.

And, For the second die, the probability that the number is greater than 4 is,

⇒ 1/3 for only the numbers 5 and 6 satisfy the condition.

Hence, To obtain the total probability, multiply the two probabilities because of the conjunction "and".

⇒ 1/3 × 1/3

⇒ 1/9

Thus, the answer is 1/9.

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Answer:

False

Step-by-step explanation:

That's Maths? False though

The complex number in standard form is 8(cos2π +isin 2π) by using DeMoivre's theorem

De Moivre's formula (also known as de Moivre's theorem and de Moivre's identity) states that for any real number x and integer n it holds that (cosx + i sinx)ⁿ= cosnx + i sinnx.

where i is the imaginary unit (i² = −1).

By DeMoivre's theorem:

√2(cos(20°)+isin(20°)]⁶

√2⁶(cos6( 60°) + isin6( 60°))

=8(cos6(60°) +isin 6(60°))

=8(cos6(π/3) +isin 6(π/3))

=8(cos2π +isin 2π)

Hence, the complex number in standard form is 8(cos2π +isin 2π) by using DeMoivre's theorem

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The value of the t-statistic is -0.51.

To identify the test statistic, we need to conduct a paired samples t-test using the data provided for the words spoken by males and females in eight different randomly selected couples.

The following formula can be used to get the test statistic:

Calculate the difference between the number of words spoken by the male and female members of each couple.

Male - Female:

-9,455, 13,823, -17,149, -8,778, 5,695, -2,454, -1,883, 8,206

Calculate the mean difference:

(Sum of differences) / (Number of differences) = (-9,455 + 13,823 - 17,149 - 8,778 + 5,695 - 2,454 - 1,883 + 8,206) / 8 = -1,995.5

Calculate the standard deviation of the differences:

s = sqrt((Σ(Male - Female - Mean)²) / (n - 1))

where Σ represents the sum from i = 1 to n, n is the number of differences (in this case, n = 8)

s = sqrt(((15102-24557-(-1995.5))² + (26839-13016-(-1995.5))² + ... + (26644-18438-(-1995.5))²) / (8-1))

s ≈ 11105.82

Determine the mean difference's standard error:

s/√n = 11105.82/√8 ≈ 3927.94

Calculate the t-statistic:

t = (Mean difference - Null hypothesis value) / (Mean difference standard error)

We do not have a null hypothesis value, but since we are testing if there is a significant difference between the mean number of words spoken by males and females, we can assume a null hypothesis value of 0.

t = -1995.5 / 3927.94 ≈ -0.508

Therefore, the test statistic is t = -0.51 (rounded to two decimal places).

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Answer:

[tex]\displaystyle{f(x)=3^x-5}[/tex]

Step-by-step explanation:

Being translated up-down means that the value exists outside of x. Therefore, we can cancel B and C choice since those are horizontal (left-right) translation.

Our only choice is A and D. However, D is being translated up since it's +5. Thus, the only correct answer that a function is being translated down is:

[tex]\displaystyle{f(x)=3^x-5}[/tex]

or A choice.

The correct option is c because the measure of the arc angle RE is 62° using the Angles of Intersecting Chords Theorem.

The Angles of Intersecting Chords Theorem states that the angle formed by the intersection of the chords is equal to half the sum of the intercepted arcs, and conversely, that the measure of an intercepted arc is half the sum of the two angles that intercept it.

66° = (RE + ST)/2

66° = (RE + 70)/2

RE + 70 = 2 × 66 {cross multiplication}

RE + 70 = 132

RE = 132 -70 {collect like terms}

RE = 62°

Therefore, the measures of the arc angle RE is 62° using the Angles of Intersecting Chords Theorem

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We start with the given, 10 g and we want to change grams to number of tablets. First, we convert 10 g to mg and then convert mg to tablets.  We need a  conversion factor for each step.

10* 1000/ 500

The answer will be 20 tablets.

Human drug dosages can be determined using weight (e.g., mg/kg) or surface area (e.g., mg/m2) based on weight when compared to doses used in animal studies. 2/3.

The most frequent substances for which doses are assessed are chemicals, although there are others, such radiation exposure. The majority of micronutrient and pharmaceutical doses for people are expressed in milligrams (mg), while some are expressed in micrograms due to their strength.

Non-medicinal poisons range in potency; some are so lethal that just one microgram of them is required to cause death, while others require much more. For instance, when consumed in sufficient amounts, even water becomes hazardous.

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complete question:

vitamin c tablets can come in 500 mg tablets. how many of these tablets are needed to obtain 10 g of vitamin c?

The values of x in the absolute value function 5 - 9|4 - 8x| = -103 are (b) {-1, 2}

From the question, we have the following parameters that can be used in our computation:

5 - 9|4 - 8x| = -103

Subtract 5 from both sides of the equation

so, we have the following representation

- 9|4 - 8x| = -108

Divide both sides by -9

|4 - 8x| = 12

Remove the absolute bracket

Thisgives

4 - 8x = 12 or 4 - 8x = -12

So, we have

-8x = 8 or -8x = -16

Divide

x = -1 or x = 2

Hence, the values of x are (b) {-1, 2}

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Answer: To solve this problem, we can use the formula for continuous compound interest:

A = Pe^(rt)

Step-by-step explanation:

A = Pe^(rt)

where A is the amount of money in the account after t years, P is the principal amount (initial investment), e is the mathematical constant (approximately 2.71828), r is the annual interest rate as a decimal, and t is the time in years.

For Sally's investment:

P = $45,000

r = 0.119 (11.9% as a decimal)

a) After 10 years:

t = 10

A = 45000e^(0.119 x 10) = $158,086.34

Therefore, after 10 years, Sally would have approximately $158,086.34 in the account.

b) After 25 years:

t = 25

A = 45000e^(0.119 x 25) = $989,988.27

Therefore, after 25 years, Sally would have approximately $989,988.27 in the account.

c) To find how long it takes to double in value:

We can use the formula:

2P = Pe^(rt)

Simplifying this equation:

2 = e^(rt)

ln(2) = rt

t = ln(2)/r

Using the values of P and r from above:

t = ln(2)/0.119 = 5.81 years (rounded to two decimal places)

Therefore, it would take approximately 5.81 years for Sally's investment to double in value.

The region that satisfy the requirements in this situation is added as an attachment

From the question, we have the following parameters that can be used in our computation:

Type A

5 pounds of oats and 7 pounds of corn per bag.

Type B

6 pounds of oats and 4 pounds of corn per bag

This means that

Oats = 5x + 6y

Corn = 7x + 4y

Using the resulting mixtures, we have

5x + 6y ≥ 150

7x + 4y ≥ 140

For the bags available, we have

0 ≤ x ≤ 20 and 0 ≤ y ≤ 25

See attachment

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It is given that Hoku is paying the shirt company $880 for shirt design and the first 50 Shirts. So, the fixed price will be $880 for 50 shirts.

Now, for over & above 50 shirts the cost is $12 per shirt.

Now, adding both the amounts to get the total cost of uniform shirts for company. So, the equation for total cost for buying more than 50 uniform shirts becomes y = 12(x-50)+880.

Comparing the above equation with the given equation, the value of p comes out to be 880.

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area of a square =

[tex]l {}^{2} \\ = l \times l \\ = 3cm \times 3cm \\ = 9cm {}^{2} \\ [/tex]

hope it helps

The intersection points are approximately (2.6, 1.29) and (2.6, -1.29).

The region where radio signals can be heard from both masts is the intersection of the two circles. We can find the intersection points by solving the system of equations:

(x - 1)² + y² = 1.5²

(x - 5)² + y² = 2²

Expanding the equations and subtracting them, we get:

10x - 26 = 0

So, x = 2.6. Substituting into either equation, we get:

y = ±✓(1.5² - (2.6 - 1)²) = ±1.29

The intersection points are approximately (2.6, 1.29) and (2.6, -1.29).

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The measure of angle ZKLJ is approximately is 24.62°. Option C is right choice.

To find the measure of angle ZKLJ in the given rectangle:

Since a rectangle has opposite sides equal in length, we can divide the perimeter of 34 units by 4 to find the length of each side:

34 units / 4 = 8.5 units

Now, consider triangle ZKL. We know that ZK = 8.5 units and KL = 5 units.

Using the Pythagorean theorem, we can calculate the length of ZL:

[tex]ZL^2[/tex] = [tex]ZK^2 + KL^2[/tex]

[tex]ZL^2[/tex] = [tex](8.5 \:units)^2 + (5 \:units)^2[/tex]

[tex]ZL^2[/tex] = 72.25 + 25

[tex]ZL^2[/tex] = 97.25

ZL ≈ 9.86 units

Now, let's calculate the tangent of angle ZKL:

tan(ZKL) = KL / ZL

tan(ZKL) = 5 units / 9.86 units

tan(ZKL) ≈ 0.507

Using the inverse tangent (arctan) function, we can find the measure of angle ZKLJ:

ZKLJ ≈ arctan(0.507)

ZKLJ ≈ 27.46°

Therefore, rounding to the nearest hundredth, the measure of angle ZKLJ is approximately 27.46°.

The closest option to this answer is option C: 24.62°.

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Question-

Given that the rectangle above has a perimeter of 34 units, find mZKLJ. Round the answer to the nearest hundredth.

A. 8.46°

B. 22.62⁰

C. 24.62°

D. 65.38°

The functions f and g are inverses of each other in the first pair but not in the second pair

For the first pair, we have

f(x) = -3/x

g(x) = -3/x

So, we have

f(g(x)) = -3/(-3/x)

Evaluate

f(g(x)) = x

Similarly;

g(f(x)) = x

This means that

f(g(x)) = g(f(x)) = x

So, the functions f(x) and g(x) are inverses of each other

For the second pair, we have

f(x) = x + 4

g(x) = -x + 4

So, we have

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

f(g(x)) = -x + 8

This means that

The functions f(x) and g(x) are not inverses of each other

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