Use the graph to find the x-intercept for the equation y + 2 = 2(x + 3). The x-intercept is

The maximum height of the ball at a time of 3.25 seconds will be 275 feet.

For the maximum value of the function if f''(x) < 0 and for the minimum value of the function if f''(x) > 0.

The maximum and minimum value of the function is at f'(x) = 0.

An individual standing near the edge on top of a 56-foot building tosses a ball upward vertically.

The quadratic function is given below.

h(t) = - 16t² + 104t + 56

The value of 't' at which the ball is at its maximum height. Then we have

h'(t) = 0

-32t + 104 = 0

32t = 104

t = 3.25 seconds

Then the maximum height of the ball is given as,

h(t) = - 16(3.25)² + 104(3.25) + 56

h(t) = -16 x 10.5625 + 338 + 56

h(t) = - 169 + 444

h(t) = 275 feet

The maximum height of the ball at a time of 3.25 seconds will be 275 feet.

More about the maxima and minima links are given below.

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Maude sees 3 more foxes than Henry and Henry sees 4 foxes then Maude

sees 7 foxes.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Henry sees 4 foxes and Maude sees 3 more foxes than Henry.

∴ Maude sees (4 + 3) = 7 foxes.

Some more insights:

Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.

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Answer:

It is actually B output

Step-by-step explanation:

(3^8 ⋅ 2^-5 ⋅ 9^0)^-2 ⋅ (2^ -2 / 3^3) ^4 ⋅ 3^28 =

(6561 * 0.03125 * 1)^2 * (0.00925)^4 * 22876792454961 =

42037.81348 * 0.00000000732094 * 22876792454961 =

7040477235.56798349

 round answer as needed

The work done to stretch a spring is calculated using Hooke's Law, denoted by the formula W = 1/2kx², where 'k' is the spring constant and 'x' the displacement. The displacement is the difference between the final and initial lengths of the spring (7.0 cm - 3.0 cm). However, without the spring constant, a specific numerical answer cannot be provided.

The problem requires calculating the work done to stretch a spring. This can be done using Hooke's Law in Physics, which states that the force necessary to extend or compress a spring by a distance 'x' from its equilibrium position is proportional to 'x'. The magnitude of the force applied is represented as F = kx, where 'k' is the spring constant. However, the work done, W, against this force is given by 1/2kx².

To calculate, we need to know the value of the spring constant 'k', and the displacement 'x', which is the difference between the final length (7.0 cm) and the initial length (3.0 cm) of the spring. Without the spring constant, we, unfortunately, cannot provide a numerical answer.

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Answer:

The partial product of [tex]42\times 28[/tex] are 800,320,40,16 and their sum is 1176.

Step-by-step explanation:

The given expression is,

[tex]42\times 28[/tex]

In number 42 the place value of 4 is 40 and the place value of 2 is 2. In number 28 the place value of 2 is 20 and the place value of 8 is 8.

To find the partial product, we have multiply the place values of first number with the place values of second number.

Place values of 42 are 40 and 2. Place values of 28 are 20 and 8.

[tex]40\times 20=800[/tex]

[tex]40\times 8=320[/tex]

[tex]2\times 20=40[/tex]

[tex]2\times 8=16[/tex]

Therefore the partial product of [tex]42\times 28[/tex] are 800,320,40 and 16.

To find the total product, we have add all partial products.

[tex]T=800+320+40+16=1176[/tex]

The value of given expression is 1176.

Answer:

[tex]\frac{1}{10}[/tex]

Step-by-step explanation:

Given: Two-fifths of the fish in Gary's fish tank are guppies.One-fourth of the guppies are red.

To Find: What fraction of the fish in Gary's tank are red guppies.

Solution:

Let total number of fish in tank be [tex]=\text{x}[/tex]

Number of guppies in tank are [tex]=\frac{2}{5}\text{of total fish}[/tex]

Number of guppies in tank are [tex]=\frac{2}{5}\text{x}[/tex]

Number of red guppies in tank are [tex]=\frac{1}{4}\text{of total guppies}[/tex]

                                                          [tex]\frac{1}{4}\times\frac{2}{5}\text{x}[/tex]

                                                          [tex]\frac{1}{10}\text{x}[/tex]

Now,

fraction of the fish in Gary's tank that are red guppies

                                                           [tex]=\frac{\text{red guppies}}{\text{total fish in Gary's tank}}[/tex]

                                                           [tex]\frac{\frac{1}{10}\text{x}}{\text{x}}[/tex]

                                                           [tex]\frac{1}{10}[/tex]

Hence  [tex]\frac{1}{10}[/tex] of total fish are red guppies.

The total area of the trapezoid is 73.5 square feet, calculated by adding the area of the square (49 square feet) to the area of the isosceles right triangle (24.5 square feet).

The area of a trapezoid consists of the area of a square and the area of an isosceles right triangle. Since the square has side lengths of 7 feet, its area is 49 square feet (7 feet x 7 feet). The isosceles right triangle, with both the base and the height being 7 feet, has an area of 24.5 square feet (1/2 x 7 feet x 7 feet). Therefore, the total area of the trapezoid is the sum of the areas of the square and the triangle.

Total area = Area of square + Area of triangle

Total area = 49 square feet + 24.5 square feet = 73.5 square feet.

Final answer:

To solve 3.4 x 4.72, multiply the numbers as if they are whole, then place the decimal in the product so that it has the same number of decimal places as the sum of the decimal places in the factors, resulting in 16.048.

Explanation:

To solve the multiplication of 3.4 x 4.72, follow these steps:

The final result of multiplying 3.4 by 4.72 is 16.048.

Answer:

b the answer

Step-by-step explanation:

just did it

Final answer:

The actual product is less than the estimate. The numbers differ by less than one.

Explanation:

Javier rounded to the nearest half to estimate the product of 3 2/5 and -3 7/8.

To estimate the product, we can round both numbers to the nearest half, which gives us 3.5 and -3.5. Multiplying these rounded numbers gives an estimate of -12.25.

The actual product of 3 2/5 and -3 7/8 is -3.4. Therefore, the actual product is less than the estimate. The numbers differ by less than one.

Answer:

Rectangle

four

Length and width

Step-by-step explanation:

To solve the equation 3x + 1 + 2x = 2 + 4x, you would first combine like terms, then eliminate variable terms on one side of the equation, and finally solve for x.

In solving the equation 3x + 1 + 2x = 2 + 4x, the first step would be to combine like terms on both sides of the equation. This means adding or subtracting the same type of terms together. In this case, you would combine the x terms on the left side and the constant terms on the right side. The equation will then be simplified to 5x + 1 = 2 + 4x.

The next step would be to get rid of the variable terms on one side of the equation. To do this, you can subtract 4x from both sides of the equation. This will result in x + 1 = 2.

Finally, you can solve for x by subtracting 1 from both sides of the equation. This gives us the solution x = 1.

To find the estimated sum, round each addend to the nearest ten thousand by looking at the digit in the ten thousand places. Then add the rounded numbers together.

To round each addend to the nearest ten thousand, look at the digit in the ten thousand places. If the digit is 5 or greater, round up by increasing the number in the ten thousand place by 1. If the digit is less than 5, round down by keeping the number in the ten thousand places the same. For 337,961, the digit in the ten thousand places is 9, so it rounds up to 340,000. For 482,746, the digit in the ten thousand places is 7, so it rounds down to 480,000. Now, you can find the estimated sum by adding the rounded numbers, which would be 340,000 + 480,000 = 820,000.

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The set hh, which represents all points in the second quadrant of the Cartesian plane, is not a subspace of the vector space vv, because it does not contain the zero vector and is not closed under scalar multiplication.

In vector space theory, a subset of a vector space forms a subspace if it satisfies three key properties: it contains the zero vector of the larger vector space, it is closed under vector addition, and it is closed under scalar multiplication.

In our case, the set hh represents all points in the second quadrant of the Cartesian plane, that is, hh={(x, y)∣x≤0, y≥0}. Since the zero vector is not included in this set of vectors, it does not meet the first requirement. Therefore, hh is not a subspace of the vector space vv.

To illustrate, let's consider the vectors A=(0, 1) and B=(-1, 0) that belong to set hh. The sum of these vectors is A + B = (0 - 1, 1 + 0) = (-1, 1), which also belongs to set hh. However, if we multiply vector A by the scalar -1, the result is -A = (0, -1), a vector that does not belong to set hh. Hence, the set hh is not closed under scalar multiplication.

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Answer choices:

A. a car

B. a set of rectangular stairs

C. a rolling pin

D. a stapler

The answer is C. a rolling pin

Answer:

The sales tax to be paid for the pair of shoes is $2.29.

Step-by-step explanation:

If the price of a pair of shoes is $45.90, and the sales tax rate for it is of 5%, in order to know the sales tax to be paid we have to do the following calculation:

(45.90 x 5) / 100 = X

229.5 / 100 = X

2.295 = X

So, as we can see, the sales tax to be paid is $2.29