If you need 15 pounds of turkey to feel 8 people, how many pounds do you need to serve 20 people?

Answer:

linear

Step-by-step explanation:

We can write this  in the form

y = mx+b

where m is the .75 per mile and b is the 39 dollars

y = .75x + 39

Answer:

g(x)=0  when x= 2 or when x= 5

The graph of g intercepts the x-axis at x= 2 and x= 5

The zeros of g are 2 and 5

Step-by-step explanation:

Answer: 32.23°

Suppose the setpoint of a helicopter is A and that of a car is C and that of the road is B

The distance from the helicopter to the car and the road forms a right triangle

=> ΔABC is a right triangle at B

=> the angle of depression from  the helicopter from the car is ∠ACB

we have: ΔABC is a right triangle => sin ∠ACB = 24/45

=> m∠ACB = 32.23°

Step-by-step explanation:

Answer:

Step-by-step explanation:

Realize that the paralell chords  CD and BE  intersect the same sized arcs

so     DC  : CB : BE : ED    is  1 : 3: 2: 3

  can you take it from here ?

I decided to post this so you can check your answers

Therefore, the equation x^3 - 15x + c = 0 has at most one root in the interval (-2, 2).

To show that the equation x^3 - 15x + c = 0 has at most one root in the interval (-2, 2), we can use the concept of the Intermediate Value Theorem and Rolle's Theorem.

Let's assume that the equation has two distinct roots, denoted as a and b, in the interval (-2, 2). Without loss of generality, we assume a < b.

Since the function is continuous on the closed interval [-2, 2] and differentiable on the open interval (-2, 2), we can apply Rolle's Theorem. According to Rolle's Theorem, there exists a point c in the open interval (a, b) such that the derivative of the function at c is zero.

Consider the derivative of the function f(x) = x^3 - 15x + c:

f'(x) = 3x^2 - 15

Setting f'(c) = 0, we have:

3c^2 - 15 = 0

c^2 - 5 = 0

c^2 = 5

Taking the square root of both sides, we get:

c = ±√5

Now, let's consider the function values at the endpoints of the interval (-2, 2):

f(-2) = (-2)^3 - 15(-2) + c = -8 + 30 + c = 22 + c

f(2) = (2)^3 - 15(2) + c = 8 - 30 + c = -22 + c

If c = √5, then f(-2) = 22 + √5 and f(2) = -22 + √5.

If c = -√5, then f(-2) = 22 - √5 and f(2) = -22 - √5.

In either case, the function values at the endpoints have different signs. This implies that there exists at least one value, say k, in the interval (-2, 2) such that f(k) = 0, according to the Intermediate Value Theorem.

However, we assumed at the beginning that there are two distinct roots in the interval (-2, 2), denoted as a and b. This contradicts our finding that there is at most one root in the interval. Hence, our assumption of having two distinct roots is false.

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The inverse Laplace Transform of F(s) = (s² + 1) s² (s + 2) is f3a(t) = \(cos(t) - sin(t) - 2e^(^-^2^t^) - t^2^/^2 + 1/2\).

To find f3a(t) using the inverse Laplace Transform, we need to apply the partial fraction decomposition and the properties of Laplace transforms.

First, factorize the denominator of F(s):

F(s) = (s² + 1) s² (s + 2)

Apply partial fraction decomposition to express F(s) as a sum of simpler fractions:

F(s) = A/(s + i) + B/(s - i) + C/s + D/(s + 2)

Solve for the constants A, B, C, and D by equating the numerators:

(s² + 1) s² (s + 2) = A(s - i)(s + 2) + B(s + i)(s + 2) + Cs(s - i) + D(s² + 1)

Expanding and equating the coefficients of like powers of s, we can find the values of A, B, C, and D.

Once we have the values, we can apply the inverse Laplace Transform to each term. The inverse Laplace Transform of A/(s + i) is \(e^(^-^i^t^)\)A, and similarly for the other terms.

After simplification and evaluation of the inverse Laplace Transforms, we obtain the answer:

f3a(t) = \(cos(t) - sin(t) - 2e^(^-^2^t^) - t^2^/^2 + 1/2\)

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combining the solutions from both cases, we find that the equation √(x^5) = |2x| has two real solutions: x = 0 and x = ∛4.

To determine the number of real solutions to the equation √(x^5) = |2x|, we need to analyze the different cases that arise.

Case 1: x ≥ 0

For x ≥ 0, the absolute value |2x| is equivalent to 2x. Thus, the equation becomes √(x^5) = 2x. By squaring both sides, we get x^5 = 4x^2. Rearranging the equation, we have x^5 - 4x^2 = 0, which can be factored as x^2(x^3 - 4) = 0. This gives us two real solutions: x = 0 and x = ∛4.

Case 2: x < 0

For x < 0, the absolute value |2x| is equivalent to -2x. Thus, the equation becomes √(x^5) = -2x. Since the square root of a number is always non-negative, there are no real solutions in this case.

Therefore, combining the solutions from both cases, we find that the equation √(x^5) = |2x| has two real solutions: x = 0 and x = ∛4.

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Answer:

2,400 students attend the school

Step-by-step explanation:

Answer: 800 students

Step-by-step explanation:

make x=the number of the students in the school

3/10x=240

x=240*10/3

x=800

Answer:

x-4y=-13

Step-by-step explanation:

According to the question, the best estimate for the percentage of people who were affected by the outbreak is approximately 0.086%.

To estimate the percentage of people affected by the outbreak, we can use the following formula:

\(\[\text{Percentage} = \left(\frac{\text{Affected}}{\text{Total population}}\right) \times 100\]\)

Given that the number of affected people is 224,000 and the total population is 260,000,000, we can substitute these values into the formula:

\(\[\text{Percentage} = \left(\frac{224,000}{260,000,000}\right) \times 100\]\)

Calculating this expression, we find:

\(\[\text{Percentage} \approx 0.086 \%\]\)

Therefore, the best estimate for the percentage of people who were affected by the outbreak is approximately 0.086%.

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Answer:

There are 2 solutions to square root x = 9

They are 3, and -3

Step-by-step explanation:

The square root of x=9 has 2 solutions,

The square root means, for a given number, (in our case 9) what number times itself equals the given number,

Or, squaring (i.e multiplying with itself) what number would give the given number,

so, we have to find the solutions to \(\sqrt{9}\)

since we know that,

\((3)(3) = 9\\and,\\(-3)(-3) = 9\)

hence if we square either 3 or -3, we get 9

Hence the solutions are 3, and -3

Answer: 120

Step-by-step explanation: divide 24 by 5 to get 4.8 so its 4.8 minutes for one question

25 x 4.8 = 120

To determine how long it will take the Baxter boys to prepare 131 papers, we can use the concept of rate and proportion.

It will take approximately 11 minutes and 14 seconds (to the nearest minute) for the Baxter boys to prepare 131 papers. Given that the Baxter boys can prepare 35 papers in 3 minutes, we can set up a proportion to solve for the time it will take to prepare 131 papers.
First, let's set up the proportion using the information given about the rate of working:
35 papers / 3 minutes = 131 papers / x minutes
To solve for x, we can cross-multiply and then divide:
35 * x = 3 * 131
35x = 393
x = 393 / 35
x ≈ 11.229
Therefore, it will take approximately 11 minutes and 14 seconds (to the nearest minute) for the Baxter boys to prepare 131 papers.

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Answer:

330 pages is the book

Step-by-step explanation:

The first 15 days she read 240 pages

The last 5 days she read 90 pages

There are 330 pages in the book

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We are given that Sarah read a novel in 20 days. She made it a habit to read 16 pages every day for the first 15 days.

Then started reading 18 pages every day for the last 5 days.

The first 15 days she read = 240 pages

The last 5 days she read = 90 pages

Total = 330 pages

Hence There are 330 pages in the book

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Step-by-step explanation:

(a)

100% = 450

1% = 100%/100 = 450/100 = 4.5

232 are his many % ? as many as 1% fit in :

232 / 4.5 = 51.55555555... % ≈ 51.56%

(b)

100% = 122

1% = 122/100 = 1.22

35 are

35 / 1.22 = 28.68852459... % ≈ 28.69%

Answer:

b. or c.

Step-by-step explanation:

Answer:

The anaswers are A and B

Step-by-step explanation:

Answer:

Reduction

Step-by-step explanation:

The resulting shape M'S'V' is smaller than the original shape MSV, so it is therefore classified as a reduction.

To achieve a 71 average, a student with test scores of 35, 62, 67, 85, and 86 needs to determine the score they must earn on the next test.

To find the score the student must earn on the next test, we need to consider the average of all the scores. The average can be calculated by summing up all the scores and dividing by the total number of scores.

The given scores are 35, 62, 67, 85, and 86. Let’s denote the score on the next test as ‘x’. To achieve a 71 average, we can set up the equation:

(35 + 62 + 67 + 85 + 86 + x) / 6 = 71

We divide by 6 since there are a total of 6 scores (including the score on the next test). Now, we can solve this equation to find the value of ‘x’.

Simplifying the equation, we have:

(335 + x) / 6 = 71

Next, we can cross-multiply to get rid of the denominator:

335 + x = 6 * 71
335 + x = 426

To isolate ‘x’, we subtract 335 from both sides of the equation:

X = 426 – 335
X = 91

Therefore, the student needs to earn a score of 91 on the next test to achieve a 71 average.


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The equation of the surface of revolution generated by revolving x = (1/z)^z about the z-axis is x = e^(-y).

To find the equation of the surface of revolution, we start with the parametric equation x = (1/z)^z, y = t, z = t. We eliminate the parameter t by substituting z for t in the equation x = (1/z)^z. Simplifying further, we obtain x = e^(-y).

This equation represents the surface of revolution generated by revolving the curve x = (1/z)^z about the z-axis. The exponentiation by e^(-y) signifies that the x-coordinate changes exponentially as the y-coordinate varies.

Therefore, as we revolve the curve around the z-axis, it forms a surface with an exponential decay in the x-direction. Hence, the equation x = e^(-y) describes the surface of revolution.

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Answer:

\((\frac{3^{-1}+2^{-1}}{5^{-1}})^{-1}+3=\frac{81}{25}\)

Step-by-step explanation:

Given expression is,

\((\frac{3^{-1}+2^{-1}}{5^{-1}})^{-1}+3\)

By solving the given expression,

\((\frac{3^{-1}+2^{-1}}{5^{-1}})^{-1}+3=(\frac{\frac{1}{3}+\frac{1}{2}}{\frac{1}{5}})^{-1}+3\)

                     \(=(\frac{\frac{2+3}{6}}{\frac{1}{5}})^{-1}+3\)

                     \(=(\frac{\frac{5}{6}}{\frac{1}{5}})^{-1}+3\)

                     \(=(\frac{5}{6}\times \frac{5}{1})^{-1}+3\)

                     \(=(\frac{25}{6})^{-1}+3\)

                     \(=\frac{6}{25}+3\)

                     \(=\frac{6+(25\times 3)}{25}\)

                     \(=\frac{81}{25}\)

Answer:

B

Step-by-step explanation:

5x + 4y >= 2

4y >= -5x + 2

y >= -5/4x + 1/2

Since the equation is >=, everything on or above the line y = -5/4x + 1/2 should be shaded.

Answer:

The answer is. 4.5x10^-4

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent would be positive. Hope this helps!

There are several resources where you can find free SAT practice tests, including:

1.Official SAT Practice Tests:

2.Khan Academy:

3.Ivy Global:

4.PrepScholar

5.CrackSAT

6.Peterson's

There are several resources where you can find free SAT practice tests, including:

1.Official SAT Practice Tests: The College Board, the organization that creates and administers the SAT, offers eight official practice tests for free on their website. These tests are the most accurate representation of the real exam.

2.Khan Academy: The College Board has partnered with Khan Academy to provide free SAT practice materials, including full-length practice tests and personalized study plans based on your performance.

3.Ivy Global: Ivy Global offers a free SAT practice test with answer explanations that mimic the actual test.

4.PrepScholar: Prep Scholar offers a free online SAT practice test that closely resembles the real exam.

5.CrackSAT :  CrackSAT offers a wide range of free practice tests, including SAT Subject Tests.

6.Peterson's: Peterson's offers a free online practice test that includes a score report with detailed feedback.

Remember, the more practice you have, the more prepared you'll be for the SAT. So take advantage of these free resources and practice as much as you can.

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Answer:

(x + 1)(x + 2) is divisible by 3.

Step-by-step explanation:

Assume that x is not divisible by 3. This means that x can be expressed as x = 3k + r, where k is an integer and r is the remainder when x is divided by 3. Since x is not divisible by 3, the remainder r must be either 1 or 2.

Case 1: r = 1

If r = 1, then x = 3k + 1. Now let's consider (x + 1)(x + 2):

(x + 1)(x + 2) = (3k + 1 + 1)(3k + 1 + 2)

= (3k + 2)(3k + 3)

= 3(3k^2 + 5k + 2)

We can see that (x + 1)(x + 2) is divisible by 3.

Case 2: r = 2

If r = 2, then x = 3k + 2. Now let's consider (x + 1)(x + 2):

(x + 1)(x + 2) = (3k + 2 + 1)(3k + 2 + 2)

= (3k + 3)(3k + 4)

= 3(3k^2 + 7k + 4)

We can see that (x + 1)(x + 2) is divisible by 3.

Hence, the statement is proven.

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The Answer is Positive Integers (B)

The number of Chromebooks = x

The total cost of purchasing Chromebooks = c(x)

where x is the domain of c(x)

The number of Chromebooks x can be: {0, 1, 2, 3, 4, 5, 6...}. You cannot have numbers like {0.2, 0.5, 3.8 ...} or any other decimal neither can you have surds like:

Integers contain numbers like: {... , -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, ...}

Positive Integer contains numbers like: {1, 2, 3, 4, 5, ...}

Rational Numbers contain numbers like: {-0.2, -0.1, -0.05, -0.005,0.2, 0.1, 0.05, 0.005,...} and also contain numbers like {... , -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, ...} as in Integers.

Positive rational Numbers are just the positive values of Rational Numbers like: {1, 2, 3, 4, 5, ...} and {0.2, 0.1, 0.05, 0.005,...}

From the information laid out, it is obvious that the only set of values that qualify to be called the domain of c(x) is Positive Integers

The Answer is Positive Integers (B)

Answer:

need options

Step-by-step explanation:

Answer:

you have to add the other options

Step-by-step explanation:

Function transformation rules are a set of rules that can be applied to a basic function in order to transform or modify its graph. These rules include:

1. Vertical translation: adding or subtracting a constant to the function. This shifts the graph up or down without changing its shape.

2. Horizontal translation: replacing x with x + c. This shifts the graph left or right without changing its shape.

3. Vertical scaling: multiplying the function by a constant. This stretches or compresses the graph vertically.

4. Horizontal scaling: replacing x with kx. This stretches or compresses the graph horizontally.

5. Reflection: reflecting the graph across the x-axis or y-axis. This changes the orientation of the graph.

6. Composition: combining two or more functions to create a new function.

These rules allow mathematicians to manipulate and analyze functions in order to better understand their properties and behavior. By applying these rules to a basic function, mathematicians can create a variety of related functions with different features and behaviors.

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Answer:

Can I see an attachment if there is a graph or something???

Answer:

25%

Step-by-step explanation:

Answer:

20 rolls: 10.5

40 rolls: 20.5

Step-by-step explanation:

next one is C

The average would approach a set value.

Answer:

38 degrees

Step-by-step explanation:

To get the answer, we need to subtract the first angle from the second angle:

84-46=38

The minute hand turned 38 degrees from its first to second position.

How to check the answer? Use inverse operations.

46+38=84