Zach wants to buy a new movie for $25. He already has $11 saved and his mom will give him $2 for each chore he does. What is the least amount of chores Zach will have to do in order to save enough money for the movie.

Using a calculator, you should get

f(x) = 4*e^x

f(2) = 4*e^2 .... replacing every x with 2

f(2) = 29.5562243957433

This is an approximate value. Round this however you need to.

The value of f(2) = 29.5562243957433

For eveluate for f(x)  we put x = 2,

f(x) = 4*e^x

f(2) = 4*e^2 .... replacing every x with 2

f(2) = 29.5562243957433

Therefore, This is an approximate value f(2) = 29.5562243957433.

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Answer:

0.888

Step-by-step explanation:

hope it helps

What is the question for this so I can answer it?

Answer:

a = -3

Step-by-step explanation:

Step 1:  Since we're told that 5 to the power of a = 1/125, we can use the following equation to solve for a:

5^a = 1/125

Step 2:  Take the log of both sides

log(5^a) = log(1/125)

Step 3:  According to the power rule of logs, we can bring a down and multiply it by log(5):

a * log(5) = log (1/125)

Step 4:  Divide both sides by log(5) to solve for a:

(a * log(5) = log(1/125)) / log(5)

a = -3

Optional 5:  We can check our answer by plugging in -3 for a and seeing if we get 1/125 when completing the operation:

5^-3 = 1/125

1/(5^3) = 1/125 (rule of exponents states that a negative exponent creates a fraction with 1 as the numerator and the base (5) and exponent (-3 becoming 3) as the denominator

1/125 = 1/125

Answer:

the highest degree of the polynomial is 2

Step-by-step explanation:

To solve the given differential equation using Laplace transforms, we apply the Laplace transform to both sides of the equation. By transforming the differential equation into an algebraic equation in the Laplace domain and using the initial conditions, we find the Laplace transform of the unknown function. Then, by taking the inverse Laplace transform, we obtain the solution in the time domain.

Let's denote the unknown function as Y(s) and its derivative as Y'(s). Applying the Laplace transform to the given differential equation, we have sY(s) - y(0) = 3s/(s^2 + 9) - 11/(s^2 + 9). Using the initial conditions y(0) = 0 and y'(0) = 6, we substitute these values into the Laplace transformed equation. After rearranging the equation, we solve for Y(s) in terms of s. Next, we take the inverse Laplace transform of Y(s) to obtain the solution y(t) in the time domain.

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Answer:

D

answer id D: F and C

Step-by-step explanation:

when we reflect across the x axis, x stays the same and y changes sign

Answer:The total number of tennis ball did store sell in all is 948 

Step-by-step explanation:

Answer:

49.5$

Step-by-step explanation:

first you need to multiply 1.25*30 which will give you 37.5 then from there add the monthly cost which is 12$ giving you the total of 49.5$

The units used for area are squared length units, where the length units are: meter, inch, feet, etc.

The units used for surface areas are length units (meters, inches, feet, etc) squared.

Why we use those? Because area is defined as the product between the two dimensions (two sides of rectangle, for example) of a figure. And these dimensions are given in length units. So if we take the product of two of these, we will get squared length units.

The difference with volume units, is that for volume we need 3 dimensions, then we will have cubed length units.

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Using the formula we rearranged: P = (v - 510) / 3P = (1000 - 510) / 3P = 163.33As we can see, both formulas give the same value of P, which confirms that our rearranged formula is correct.

To rearrange the formula v = 3P + 510 to make P the subject, we need to isolate P on one side of the equation. We can do this by performing inverse operations.

First, we need to isolate the term with P by subtracting 510 from both sides of the equation:v - 510 = 3PNext, we need to isolate P by dividing both sides of the equation by 3:v - 510 = 3PP = (v - 510) / 3

Therefore, the formula to make P the subject is P = (v - 510) / 3.We can check our answer by substituting values of v and calculating P using both the original formula and the formula we rearranged.

For example, if v = 1000, using the original formula: v = 3P + 5101000 = 3P + 5103P = 490P = 163.33

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Answer:

28, 4 or 4, 28 (order doesn't matter, both are true answers)

Step-by-step explanation:

l + w = 32

l*w = 112

l = 112/w

112/w + w = 32

w = 28 or 4

l = 28 or 4

Answer:

4,28

Step-by-step explanation:

So let's look at the sentence to take any necessary information out. It says the length of a rectangle plus it's width is 32. Since we do not know what the length and width are, let's just represent them as L (length) and W (width). Using this information we get the equation: \(L + W = 32\) and since we're given the area of the rectangle, we can also define another equation which is: \(LW = 112\) since the length * width = area.

So now all we have is a systems of equations. We can solve for L or W in the area equation and plug it into the addition equation. We can also solve for L or W in the addition equation and then plug it into the area equation, either should work, but in this example I'll solve for L in the addition equation:

Original Equation:

\(L + W = 32\)

Subtract 32 from both sides

\(L = 32-W\)

Now let's use this definition of L to plug into the second equation:

\(LW = 112 \implies (32-W)W = 112\)

Distribute the W

\(-W^2+32W=112\)

Now if you notice, we simply have a quadratic equation and we can subtract 112 from both sides and then use the quadratic formula: \(x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)

Subtract 112 from both sides

\(-W^2+32W-112=0\)

Use quadratic formula

\(W = \frac{-32\pm\sqrt{32^2-4(-1)(-112)}}{2(-1)}\)

Simplify stuff in radical

\(W = \frac{-32\pm\sqrt{576}}{-2}\)

Calculate the square root

\(W=\frac{-32\pm24}{-2}\)

Use positive sign:

\(W=\frac{-32+24}{-2}\)

Simplify numerator

\(W = \frac{-8}{-2}\)

Simplify fraction

\(W=4\)

Take negative sign
\(W = \frac{-32-24}{-2}\)

Simplify numerator

\(W=\frac{-56}{-2}\)

W = \(28\)

So we have two solutions, and the reason for this is because had we solved for W in the original equation and substituted that into here, there would be no different, it's not bound by some variable name. So these are actually the two sides of the rectangles

4 + 28 = 32

4 * 28 = 112

4, 28

Answer:

m=1/2

Step-by-step explanation:

your answer is right

the vallue of k is 25,  positive integers 6^6 and 8^8.

What is LCM?

In mathematics, the least common multiple is sometimes referred to as LCM or the lowest common multiple. The smallest number among all the common multiples of the provided numbers is the least common multiple of two or more numbers. Consider the integers 2 and 5. There will be different multiples for each. Least Common Multiple is the meaning of the abbreviation LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers.

Only the primes 2 or/and 3 are present in LCM, hence k cannot have any other primes.

In light of the fact that the power of 3 in LCM is greater than the powers of either the first or second number, k must have 312 as its multiple (otherwise, how would 312 appear in LCM?).

Because at least one of the numbers must have the words (224) and (312) as its factors in order for (224) * (312) to be a common multiple, b must now equal 12. (maybe other numbers).

As can be seen, the 224 component is already taken care of by 88.

As a result, k must handle the LCM's 312 component.

Since a can take on any value between 0 and 24 (inclusive) without modifying the LCM's value, the value of k is therefore (2a) * (312).

Hence the vallue of k is 25.

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The proportion that  could be use to find the value of x is option D which is 11x=x11−3

To discover the value of x within the given scenario, we got to set up a proportion based on the lengths given. Let's analyze the options given:

A. 311 = x11

B. 3x = x11

C. 3 11x = 3x

D. 11x = x11 - 3

Among the choices, the correct proportion can be set up as takes after:

option D.D: 11x = x11 - 3

The length of 2 part divided by the line on the hypotenuse is 3 and 11

Able to speak to the length of the line on the hypotenuse as x.

In this way, the right proportion would be 11x = x11 - 3.

This proportion states that the item of the length 11 and x (the length of the line on the hypotenuse) is break even with to the contrast between the item of x and 11 and the number 3.

In this manner, option D speaks to the proportion that can be utilized to discover the esteem

of x within the given situation.

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The values of the given expression having exponent with negative fractional base i.e. \(-2^{(3/2)^2}\\\) is evaluated out to be 16/9.

First, we need to simplify the expression inside the parentheses using the rule that says "exponents with negative fractional base can be rewritten as a fraction with positive numerator."

\(-2^{(3/2)^2}\) = (-2)² × (2/3)²

Now, we can simplify the expression  further by solving the exponent of (-2)² and (2/3)²:

(-2)² × (2/3)² = 4 × 4/9 = 16/9

Therefore, the value of the given expression \(-2^{(3/2)^2}\\\)  is 16/9.

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The question is :

What is the value of the expression \(-2^{(3/2)^2}\) ?

Answer:

Step-by-step explanation o:

The sum in summation notation of the expression (a) 1 + 2 + 3 + 4 + X5, where X takes the values 1-4, is ΣX from 1 to 4. In other words, it represents the summation of X over the range 1 to 4.

In summation notation, the expression (a) 1 + 2 + 3 + 4 + X5 can be written as ΣX, where X takes the values from 1 to 4. The capital sigma (Σ) represents the summation operator, and the variable X is summed over the range 1 to 4. This means that we need to substitute X with each value from 1 to 4 and add them together.

When we evaluate the expression, we have:

ΣX = 1 + 2 + 3 + 4 = 10

However, the expression also includes X5, indicating that X takes the value 5 as well. Therefore, we add 5 to the sum:

ΣX = 10 + 5 = 15

So, the sum of 1 + 2 + 3 + 4 + X5, where X takes the values 1-4, is equal to 15.

Moving on to expression (b) y2 + y3 + Y, where Y takes the values y₁ = -1, y₂ = -0.5, y₃ = 0, y₄ = 1.35, we can express it in summation notation as ΣY from 1 to 3. This represents the summation of Y over the range 1 to 3.

Since Y has a different value for each term, we simply substitute Y with each value from 1 to 3 and add them together:

ΣY = y₁ + y₂ + y₃ = -1 + (-0.5) + 0 = -1.5

Hence, the sum of y₂ + y₃ + Y, where Y takes the values y₁ = -1, y₂ = -0.5, y₃ = 0, y₄ = 1.35, is equal to -1.5.

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Answer:

$190.00

Step-by-step explanation:

285÷30=9.5

9.5×20=190

Hope this helps! :)

Answer:

Evan would have six 1/3 toast pieces.

Step-by-step explanation:

Cutting a single piece of toast into thirds would give you three 1/3 pieces, but because he cut 2 pieces in 1/3 you will have to multiply 3 × 2

To draw the model first draw two squares as toast pieces, then you want to draw two lines down each square, evenly and make sure to count out 6 rectangles, or 1/3 pieces.

Answer:

6 sub-pieces, each 1/3 of a full piece of toast

Step-by-step explanation:

Divide "2 pieces of toast" by "1/3 piece of toast:"  This results in:

2 pieces

------------- = 6 sub-pieces

    1/3

Suppose you lay out the 2 pieces of toast.  You then cut them up, one at a time, cutting each full pieces into 3 sub-pieces.  Obviously you get 3   (1/3 pieces).  Now repeat that with the other full piece; again, you get 3   (1/3) pieces, or a total of 6 from the original 2 full pieces.

To solve this question, follow the steps below.

Step 01: Find the LCM of 5 and 6 (denomitators).

5, 6 | 2

5, 3 | 3

5, 1 | 5

1, 1

The LCM is 2*3*5 = 30

Step 02: Rewrite the fractions using 30 as the denominator.

To do it, divide 30 by the original denominator and multiply the result by the numerator.

Step 03: Solve the expression.

First, since the fractions have the same denominator, you can write them using only one denominator:

Now, remove the parentheses by solving the multiplications.

Adding like terms:

Answer:

Answer:

Step-by-step explanation:

As two sides are equal so angles opposite to these are also equal, hence

5x-4=x+52

4x=56

X=14

Now,

R=5x-4

R=66

And,Q=x+52

Q=66(we already knew both angles are equal)

Now as sum of all angles of triangle equal 180 so,

66+66+P=180

P=48

The statement "if the feasible set is unbounded, changing its right side can cause it to have a limited optimum" is FALSE.

Therefore, the statement "if p is unbounded, changing its right side can cause it to have a limited optimum" is FALSE.

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The given data sample contains all integers from 530 to 380 and all integers from 379 to 531. This means that the sample includes 152 integers in total. To find the mean of the sample, we need to add up all the numbers and divide by the total number of integers.

To do this, we can take the average of the two endpoints (530 and 380), which is 455. Then we can add the sum of the integers between 380 and 530, which is (530-381+1) + (530-379) = 150 + 151 = 301. Finally, we divide the total sum by the number of integers, which is 152, and get:

Mean = (455 + 301) / 152 = 3.980263158

Therefore, the mean of the given data sample is approximately 3.9803.

In summary, we can find the mean of a sample by adding up all the numbers and dividing by the total number of items. In this particular sample, we first found the average of the two endpoints and then added the sum of all the integers between them to find the total sum. Finally, we divided the total sum by the number of integers to find the mean of the sample.

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Answer:

11,695 ft²

Step-by-step explanation:

Since the pizza is circular

Area of a circle = π r²

but radius is the diameter divided by 2

Answer:

Step-by-step explanation:

Given system:

We observe that:

Correct choice is C

2x+y=7

y+5=-2x

Slopes are equal lines are parallel,no solutions

Option C

Answer:

$0.29 is the price difference

Step-by-step explanation:

Ten years ago, you could buy a loaf of bread for $1.21. Twenty years ago, you could buy a loaf of bread for $0.92.

Answer: Here are the matches:

Domain of (0, ∞): vertical shift of f(x) to the right by 3 units, so j(x) = f(x + 3).

X-intercept of (-2, 0): horizontal shift of f(x) to the left by 3 units, then reflection across the y-axis, so g(x) = -f(x - 3).

Vertical asymptote of x = 3: vertical stretch by a factor of 3, then vertical shift downward by 3 units, so h(x) = 3f(x) - 3.

Range of (-3, ∞): vertical stretch by a factor of 3, then vertical shift downward by 3 units, so h(x) = 3f(x) - 3.

Step-by-step explanation:

Transformation of function f with a feature of the transformed function are,

⇒ g (x) = - f(x-3) is vertical asymptote of x=3

⇒ j (x) = f(x+3) is x-intercept of (-2,0)

⇒ h (x) = 3f(x) - 3 is domain of (0, ∞)

A relation is a function if it has only One y-value for each x-value.

An asymptote is a line that the graph of a function approaches as either x or y go to positive or negative infinity.

There are three types of asymptotes: vertical, horizontal and oblique

Given function is;

⇒ f(x) = log x

Hence, we get;

g(x) = -f(x+3)= - log(x+3)

g(x) =-f(x-3) is vertical asymptote of x = 3.

j (x) = f(x+3) = log (x+3)

Then, j(x) = f(x+3) is x-intercept of (-2,0)

Domain: As (0,∞),{x | x>0}

h(x) = 3f(x)-3 is domain of (0, ∞)

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The slope of the line in simplest form is 1/1, or 1.

The line has a rise of 3 units and a run of 4 units. The slope of the line can be represented by the formula "rise/run" and can be calculated as follows: slope = 3/4. The slope of the line in simplest form is 3/4.

To calculate the slope of the line, we need to divide the rise by the run. In this case, the rise is 3 units and the run is 4 units. To calculate the slope, we divide 3 by 4. This gives us a slope of 3/4.

The slope of the line can also be written in simplest form. Simplest form means that we simplify the fraction as much as possible. We can do this by dividing both the numerator and the denominator by the same number until they cannot be divided any further. In this case, the numerator and the denominator are both divisible by 3. We can divide 3 by 3 to get 1, and divide 4 by 3 to get 1. Therefore, the slope of the line in simplest form is 1/1, or 1.

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