Solve for c. abc + d = f

The relationship between the number of hours past noon and the temperature outside is y = -5x + 12

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

Initial = 12 degrees

Rate = -5 degrees

To represent the relationship between the number of hours past noon and the temperature outside, we can use the equation:

y = Rate * x + Initial

So, we have

y = -5x + 12

where y represents the temperature in degrees Fahrenheit and x represents the number of hours past noon.

The graph of the equation is a linear equation

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The length of the base edge of the square pyramid is 6 feet.

The surface area of a square pyramid is 96 square feet. The height is two thirds of the length of the base edge.

The length of the base edge can be found as follows:

Hence,

surface area of square pyramid = a² + 2al

where

Therefore,

using Pythagoras's theorem, let find the slant height of the pyramid.

c² = a² + b²

where

Hence,

height = 2 / 3 a

Therefore,

l² = (2 / 3 a)² + (1 / 2a )²

l² = 4 / 9 a² + 1 / 4 a²

l² = 25 / 36 a²

square root both sides

l = 5 / 6 a

Hence,

surface area of square pyramid = a² + 2a(5 / 6 a)

surface area of square pyramid = a² + 10 / 6 a²

surface area of square pyramid = 16 / 6 a²

96 = 16 / 6 a²

96 = 8 / 3 a²

cross multiply

96 × 3 = 8a²

288 / 8 = a²

a² = 36

a = √36

a = 6 feet

Therefore, the base length is 6 feet.

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Answer:

11855.37

Step-by-step explanation:

Round up because the number on right was 5.

Answer:

11855.37

Step-by-step explanation:

The 6 place value in 11855.3657 is hundredth so then use the 5

that behind 6 and make 6 go up an number. After that take away 5

and 7. So then your answer will be 11855.37 :)

Answer:

y=−1/6x−6

Step-by-step explanation:

Answer:

x = 18

Step-by-step explanation:

given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

to find k use the condition y = 15 when x = 9 , then

15 = 9x ( divide both sides by 9 )

\(\frac{15}{9}\) = x , that is

x = \(\frac{5}{3}\)

y = \(\frac{5}{3}\) x ← equation of variation

when y = 30 , then

30 = \(\frac{5}{3}\) x ( multiply both sides by 3 to clear the fraction )

90 = 5x ( divide both sides by 5 )

18 = x

The total number of squares that can be formed with 4 of the 200 points as vertices is 39,600.

The equation for calculating the total number of squares that can be formed with 4 of the 200 points as vertices are:

Number of squares = (200 Choose 4) x (4!/2) = (200!/196! x 4!) x (4!/2)

Using the factorial notation, this simplifies to:

Number of squares = (200 x 199 x 198 x 197) x (2) / (4 x 3 x 2 x 1)

The number of squares = 39,600.

Solving the equation, the total number of squares that can be formed is 39,600.

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For the given geometric progression, the nth term of the given GP is \(A_n=2.3^{n-1}\).

Option (C) is correct.

What is the Geometric Progression?

Geometric Progression (GP) is a type of sequence in mathematics in which each succeeding term is produced by multiplying each preceding term by a fixed number known as a common ratio. This progression is also known as a pattern-following geometric sequence of numbers.

The given sequence is 2, 6, 18, 54

here the first term(a) = 2 and the common ratio(r) = 6/2 =3

Then by using the formula for the nth term of a GP, we get

                               \(A_n=ar^{n-1}\\\\A_n=2.3^{n-1}\)

Hence the nth term of the given GP is \(A_n=2.3^{n-1}\).

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Answer:

2/3 of 24 is 16/24

5/8 of 24 is 15/24

Step-by-step explanation:

if you multiply across 2/3 by 8/8 it equal to 16/24

if you multiply across 5/8 by 3/3 it equal to 15/24

Answer:

16/24 and  15/24

Step-by-step explanation:

To get the denominator in 2/3 to be 24 we multiply by 8 since 3 * 8 = 24, since we multiplied the denominator by 8 we must multiply the numerator by 8 as well to keep things equal, therefore 2 * 8 = 16, and we arrive at 16/24.
Likewise for 5/8, to get the denominator 8 to be 24, we multiply by 3, multiplying the numerator by 3 to keep things equal will result in 15/24.

To solve the equation 7x, we need to clarify the specific goal or condition. If we are looking for the value of x that makes the equation equal to a specific number, such as 0, the solution would be x = 0. However, if we are solving for x in terms of another variable or in an equation with more components, further information is needed to provide a meaningful answer.

The equation 7x represents a linear equation in one variable, where 7 is the coefficient of x. If we are solving for x in an equation of this form, we need an additional equation or condition to determine a unique solution. Without any further information or constraints, the equation 7x does not have a specific solution.

To provide a more comprehensive explanation, let's consider an example. Suppose we have the equation 7x = 21. To solve for x, we divide both sides of the equation by 7:

7x/7 = 21/7

x = 3

In this case, the value of x that satisfies the equation 7x = 21 is x = 3. We can substitute this value back into the equation to verify its correctness:

7(3) = 21

21 = 21

The equation holds true, confirming that x = 3 is the solution. However, without a specific condition or another equation to work with, the equation 7x on its own does not have a unique solution.

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The set corresponding to the event that exactly one of the five flips comes up heads is {htttt, thttt, tthtt, tttht, tttth}.

In a single coin flip, there are two possible outcomes: heads (H) or tails (T). Since we are flipping the coin five times, we have a total of 2^5 = 32 possible outcomes.

To form the strings of length 5 from {H, T}, we can use the following combinations where exactly one flip results in heads:

{htttt, thttt, tthtt, tttht, tttth}

Each string in this set represents a unique outcome where only one flip results in heads.

Therefore, the set corresponding to the event that exactly one of the five flips comes up heads is {htttt, thttt, tthtt, tttht, tttth}.

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Thus, the number of students attended at the school place is found to be  50.

A set of two or more linear equations with two or more variables each constitutes a system of linear equations, all of which are taken into account simultaneously. Finding a numerical value for every variable in the system that will simultaneously satisfy all of the system's equations is necessary to identify the one and only solution to a system of linear equations.

Given data:

Let 'x' be the number of students.

Let 'y' be the number of adults.

Thus, linear equations formed:

x + y = 110

x = 110 - y  .... eq 1

7x + 10y = 950  ..eq 2

Put x in eq 2

7(110 - y) + 10y = 950

770 - 7y + 10y = 950

3y = 180

y = 60

x = 110 - 60 = 50

Thus, the number of students attended at the school place is found to be  50.

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Answer: A

Step-by-step explanation:

Answer:

Thats a science question.

Step-by-step explanation:

Answer:

it's 25

nwhhehshhjeheb

the answer is 25 just do 5 plus 5 plus 5 plus 5 plus 5

Answer:

The angles are supplementary meaning they equal 180 degrees so the angles have to equal 180.

p + 7 + 3p + 1 = 180

4p + 8 = 180

-8          -8(subtracting 8 from both sides)

4p = 172

/4     /4(dividing by 4 on both sides)

p = 43

Answer:

(p + 7) + (3p + 1) = 180

p + 7 + 3p + 1 = 180

4p + 8 = 180

4p = 180 - 8

4p = 172

•°• p = 172/4 = 43

The required experimental probability that the next batter will get a hit is 2/11.

A number that indicates how likely an event is to occur is called its probability. It is communicated as a number in the reach from 0 and 1, or, utilizing rate documentation, in the reach from 0% to 100 percent. The higher the probability, the more likely the event is to occur.

The experimental probability of an event happening is defined as the number of times the event occurs divided by the total number of trials or events.

In this case, we are given that 4 out of 22 batters have gotten a hit so far. Therefore, the experimental probability that the next batter will get a hit is:

P(hit) = Number of hits / Total number of batters

P(hit) = 4/22

Simplifying:

P(hit) = 2/11

Therefore, the experimental probability that the next batter will get a hit is 2/11.

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the 80% confidence interval estimate of the mean weight change for the population is approximately 1.8 kg to 8.9 kg.

Given bootstrap samples:

Sample 1: {15, 15, 15, 2}

Sample 2: {15, -4, 2, 15}

Sample 3: {15, -4, 3, 2}

Sample 4: {3, -4, 2, 15}

Sample 5: {2, 2, 2, 3}

Sample 6: {3, -4, 3, -4}

Sample 7: {15, 3, 4, 2}

Sample 8: {-4, 3, -4, 3}

Sample 9: {-4, 2, 4, 3}

Sample 10: {3, 15, 15, 15}

Calculate the mean weight change for each sample.

Sample 1: Mean = (15 + 15 + 15 + 2) / 4 = 11.8

Sample 2: Mean = (15 - 4 + 2 + 15) / 4 = 7.0

Sample 3: Mean = (15 - 4 + 3 + 2) / 4 = 4.0

Sample 4: Mean = (3 - 4 + 2 + 15) / 4 = 4.0

Sample 5: Mean = (2 + 2 + 2 + 3) / 4 = 2.3

Sample 6: Mean = (3 - 4 + 3 - 4) / 4 = -0.5

Sample 7: Mean = (15 + 3 + 4 + 2) / 4 = 6.0

Sample 8: Mean = (-4 + 3 - 4 + 3) / 4 = -0.5

Sample 9: Mean = (-4 + 2 + 4 + 3) / 4 = 1.3

Sample 10: Mean = (3 + 15 + 15 + 15) / 4 = 12.0

Mean of Sample Means = (11.8 + 7.0 + 4.0 + 4.0 + 2.3 + (-0.5) + 6.0 + (-0.5) + 1.3 + 12.0) / 10 = 5.34

Standard Error = standard deviation / √(number of samples)

Given that the standard deviation is not provided, we will use the standard deviation of the original data set: 6.1 kg.

Standard Error = 6.1 / √10 = 1.93

The margin of Error = critical value * standard error

To find the critical value for an 80% confidence interval, we can refer to the t-distribution table or use a calculator. For a two-tailed test with 10 samples and an 80% confidence level, the critical value is approximately 1.833.

Margin of Error = 1.833 * 1.93 = 3.54

Lower Bound = Mean of Sample Means - Margin of Error

Lower Bound = 5.34 - 3.54 = 1.80

Upper Bound = Mean of Sample Means + Margin of Error

Upper Bound = 5.34 + 3.54 = 8.88

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\(4(a + 3) = - 32 \\ 4a + 12 = - 32 \\ 4a = - 32 - 12 \\ 4a = - 44 \\ a = - 11\)

Hope it helps

Please give brainliest

Step-by-step explanation:

4(a+3)=-32

4(a+3)/4=-32/4

(a+3)=-8

a+3-3=-8-3

a=-11

Answer:

1320 cones

Step-by-step explanation:

1 mile = 5280 feet

For every 4 feet, 1 cone is placed so

5280/4 = 1320

Therefore 1320 cones are used.

Any questions lmk

Answer:

1/2

Step-by-step explanation:

Answer

1/2

Explanation

Good Luck ^-^

Let's begin by listing out the information given to us:

The general formula for growth or decay is given by:

y = ab^x

For growth: b = 1 + r

For decay: b = 1 - r

1.

y = ⅓(4^x)

When we compare this equation with the general formula, we will see that

The feature that distinguishes the growth from decay is the value of b, whether it is 1 + r for growth or 1 - r for decay

Answer:

the second

Step-by-step explanation:

refers to well-founded standards of right and wrong that prescribe what humans should do, usually in terms of rights, obligations, benefits to society, justice

Answer:

10

Step-by-step explanation:

-3 = 7 - x

Add x to both sides

x -3 = 7 - x +x

x - 3 = 7

Now, add 3 to both sides

x - 3 + 3 = 7 + 3

x = 10

Answer:

\(\boxed{10}\)

Step-by-step explanation:

\(-3=7- \sf BLANK\)

\(\sf Subtract \ 7 \ from \ sides.\)

\(-3-7=-7+7- \sf BLANK\)

\(-10=- \sf BLANK\)

\(\sf Multiply \ both \ sides \ by \ -1.\)

\(-10(-1)=(-1)- \sf BLANK\)

\(10= \sf BLANK\)

Andrew is correct because 60 is the highest whole number that can round to 60. Any number higher than 60 will round up to a higher number. For example, 61 will round up to 70, and 62 will round up to 70. Therefore, 60 is the greatest whole number that rounds to 60.

The highest whole number is infinity, as there is no limit to how high a number can be. Whole numbers are all the numbers that are greater than or equal to 0, including 0 itself. The highest whole number is therefore infinity, as this is the highest possible number.

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Answer:

-1

Step-by-step explanation:

1(+-)2=

step 1: a positive and a negative is a negative

1-2=-1

Answer:

-1

Step-by-step explanation:

negative and positive is negative

1+(-2)

1-2

-1

The requried, to find the angle by which AB turns clockwise about point B to coincide with BC, we need to first identify points A, B, and C on a diagram.

Transform the shapes on a coordinate plane by rotating, reflecting, or translating them. Felix Klein introduced transformational geometry, a fresh viewpoint on geometry, in the 19th century.

Here,
To find the angle by which AB turns clockwise about point B to coincide with BC, we need to first identify points A, B, and C on a diagram. Once we have done that, we can draw a line from B to C, and then compare the direction of AB to the direction of BC. The angle between these two lines will be the angle by which AB turns clockwise to coincide with BC.

Similarly, to find the angle by which AB turns counterclockwise to coincide with BE, we need to identify points A, B, C, and E on a diagram. Once we have done that, we can draw a line from B to E, and then compare the direction of AB to the direction of BE. The angle between these two lines will be the angle by which AB turns counterclockwise to coincide with BE.

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Answer: b would be the answer

Step-by-step explanation:

Answer: I think its d

Step-by-step explanation:

The position of the man as a function of time is: x_man(t) = vt + 1/2at^2 - b

Let's first find the position of the bus as a function of time. We know that the bus starts from rest and accelerates with a constant acceleration a, so its position can be described by the following kinematic equation:

x_bus(t) = 1/2at^2

Now, let's consider the position of the man relative to the bus. At t = 0, the man is at a distance b from the door of the bus, so his initial position relative to the bus is:

x_man(0) = -b

As the bus starts moving, the man starts running towards it with a constant speed v. Since the man is running at a much lower speed than the speed of light, we can use classical mechanics to describe his motion.

At any time t, the position of the man relative to the bus is:

x_man(t) = vt

However, we need to take into account the fact that the bus is also moving. So, we need to add the position of the bus to the position of the man relative to the bus to get the absolute position of the man:

x_man(t) = x_man(t) + x_bus(t) = vt + 1/2at^2

Therefore, the position of the man as a function of time is:

x_man(t) = vt + 1/2at^2 - b

where v is the speed at which the man is running, a is the acceleration of the bus, and b is the initial distance between the man and the bus.

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The given question is incomplete, the complete question is:

A man is running at speed (much less than the speed of light) to catch a bus already at a stop. At t = 0, when he is at distance b from the door t0 the bus, the bus starts moving with the positive acceleration a. Use a coordinate system with x 0 at the door of the stopped bus_ What is Xman(t) , the position of the man as a function of time?