Matt’s Uncle came to visit. He brought Matt his old baseball card collection as a gift. Each page holds 9 baseball cards, and there are a total of 48 pages in the album. If each page is full, how many total baseball cards are in the album?
Make estimation.
Number sentence matches plan from L step.
Computation is correct.

Answer:

21

Step-by-step explanation:

21

Answer:

i think ur answer would be 21

Step-by-step explanation:

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The given function is

\(f(x) \\= x1/6.\)

The average rate of change of a function f(x) over an interval [a, b] is calculated using the following formula: Average rate of change of f(x) over the interval [a, b]

=\((f(b) - f(a)) / (b - a)\\Given the interval [4, 4 + h],\)

the average rate of change of f(x) is: Average rate of change of f(x) over the interval

[\(4, 4 + h] = (f(4 + h) - f(4)) / h\)

We have,

\(f(4 + h)\\ = (4 + h)1/6\\ = (4 + h)^(1/6)f(4) \\= 4^(1/6)\)

Therefore, the average rate of change of f(x) over the interval

\([4, 4 + h] \\is:(f(4 + h) - f(4)) / h\\= [(4 + h)^(1/6) - 4^(1/6)] / h\)

Hence, the average rate of change of f(x) on the interva

\(l [4, 4+h] is [(4 + h)^(1/6) - 4^(1/6)] / h.\)

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The sum of all integers n such that `(x^3 - x + 120) / (x - 1) (x + 1) is an integer` is `42 - 38 = 4`.

`(x³ - x + 120) / (x - 1) (x + 1)=n, where n is an integer, we have to find the sum of all integers n such that `(x³ - x + 120) / (x - 1) (x + 1) is an integer`.

Factorize the denominator, `(x - 1) (x + 1)` which is the difference of two squares.

Using the factor theorem, we find that `f(1) = 120` and `f(-1) = 122`.

This means that the denominator has no common factors with the numerator, except for the factor of 1.

This is because, at `x = 1`, the denominator is zero, but the numerator is nonzero.In other words, `x - 1` and `x + 1` are relatively prime to the numerator.

Since the denominator is the product of two relatively prime factors, and it divides the numerator, it follows that it divides each factor of the numerator separately.

`x - 1` divides `(x³ - x)` and `x + 1` divides `(x³ + x)`.

Thus, `(x³ - x)` is divisible by `(x - 1)` and `(x³ + x)` is divisible by `(x + 1)`

Therefore, the given expression can be written as,`(x^3 - x + 120) = n(x - 1)(x + 1)`

Let's evaluate this expression at `x = 2`, `x = 0`, `x = -2` respectively.

`(2³ - 2 + 120) = 126 = n(2 - 1)(2 + 1) = 3n

`Thus, `n = 42`. This is the only integer n that works.

`(-2³+ 2 + 120) = 114 = n(-2 - 1)(-2 + 1) = -3n`

Thus, `n = -38`.

Therefore, the sum of all integers n such that `(x³ - x + 120) / (x - 1) (x + 1) is an integer` is `42 - 38 = 4`.

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Given the equation below,

To find the maximum point, dy/dt = 0.

Differentiating the equation above,

Where dy/dt = 0,

Substituting for t into the equation, maximum height is'

Hence, the maximum height of the football is 64 ft.

The vertex form is to be used which is given below as,

Where (h, k) represents the coordinate of the vertex and k is the maximum height.

Answer:10

Step-by-step explanation:

so lets say 4 is 100 then you are decreasing it by 1/4 so it is 3/4 with is 10 :)

Pls rate brainiest

Step-by-step explanation:

can you elaborate on this problem a bit more? I just want to give you an accurate anwser

The area of the region is (27π/4) square units.

We have,

To find the area of the region inside the circle (x + 3)² + y² = 9 and outside the circle x² + y² = 9, we can use a double integral in polar coordinates.

The region is an annulus (a region between two concentric circles) with the smaller circle centered at (-3,0) and radius 3, and the larger circle centered at the origin and radius 3.

We can rewrite the equations of the circles in polar coordinates as:

(x + 3)² + y² = 9

And,

r² + 2r cos(theta) + 9 = 9

r² + 2r cos(theta) = 0
r = -2 cos(theta)

And,

x² + y² = 9

r² = 9

The region can be described as 0 ≤ r ≤ 3 and -π/2 ≤ θ ≤ π/2 since we are only interested in the part of the region above the x-axis.

The area of the region can be calculated using the following double integral:

A = ∫∫R r dr dθ

where R is the region in polar coordinates.

We can integrate with respect to r first:

A = ∫(-π/2)^(π/2) ∫0³ r dr dθ

= ∫(-π/2)^(π/2) [(1/2) r²]_0³ dθ

= ∫(-π/2)^(π/2) (9/2) dθ

= (9/2) [θ]_(-π/2)^(π/2)

= (9/2) [π - (-π/2)]

= (9/2) (3π/2)

= (27π/4)

Thus,

The area of the region is (27π/4) square units.

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Answer:

Could you repost this question with a picture of the circle? I'd like to help, but I can't answer without seeing the picture.

Answer:

bad photo quality

Step-by-step explanation:

The function is transformed by a vertical stretching or compression by a factor of 5, a horizontal shift of 6 units to the right, and a vertical shift of 2 units downward.

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

In the given function y = 5/(x - 6) - 2, the values of a, h, and k can be identified as follows:

a = 5

h = 6

k = -2

Now , the original function is y = a/(x - h) + k, and the reciprocal family of this function is y = a/(x - h) + k

And , value of 'a' determines the vertical scaling factor of the reciprocal function

Now , the value of 'h' determines the horizontal shift of the reciprocal function. If 'h' is positive, the graph of the reciprocal function is shifted horizontally to the right

And , if 'k' is negative, the graph is shifted vertically downward

Hence , the transformation of the function is solved

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Answer:

97.5

Step-by-step explanation:

33 + 5/4(2) +12+17

34.25(2) +12+17

68.5 + 12 + 17

80.5 + 17

97.5

The distance between the building and the ladder is 34.876 foot.

A triangle in which one of the angle measure is equal to 90 degree is called a right triangle.

The ladder forms a right triangle with the building and the ground,

The length of the triangle is 40 foot

The angle made by the ladder is 29.32 degree

By using Trigonometric Ratios

cos 29.32 = Base /  Hypotenuse

cos 29.32 = Base / 40

0.8718 × 40 = Base

Base = 34.876 foot

Base is the distance between the building and the ladder.

Base of the ladder = 34.876 foot

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The earnings per share can be calculated as $0.066 per share (rounded to the nearest cent).

a. The earnings per share for Company XYZ can be calculated by dividing the closing price by the P/E ratio. In this case, the closing price is $100.76 and the P/E ratio is 1525. Therefore, the earnings per share can be calculated as $0.066 per share (rounded to the nearest cent).

b. Based on the historical P/E ratio range of 12-14, the stock price of Company XYZ seems overpriced. The P/E ratio indicates the price investors are willing to pay for each dollar of earnings generated by the company. A higher P/E ratio suggests that investors have higher expectations for future earnings growth. In this case, the P/E ratio of 1525 is significantly higher than the historical range of 12-14, indicating that the stock is being valued at a much higher premium relative to its earnings. This suggests that the stock price may be inflated and not in line with the company's historical valuation metrics, indicating an overpriced condition.

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If all attributes of r are prime, then the group of answer choices a, b, and d are true.

Option a states that r cannot be factored. This is true because prime attributes cannot be further decomposed into smaller attributes. Option b states that r has no common keys. This is also true because prime attributes are unique and cannot have any duplicates. Option d states that r is at least in 3NF. This is true because if all attributes of r are prime, then r must have a candidate key composed of only prime attributes. This means that there are no transitive dependencies and r is in at least 3NF. Option c, which states that r is at least in BCNF, is not necessarily true. BCNF requires that for any functional dependency X → Y, X must be a superkey. It is possible for a relation with all prime attributes to have a non-trivial functional dependency where the determinant is not a superkey, violating BCNF.
If all attributes of R are prime, then R is at least in 3NF. In 3NF, every non-prime attribute is fully functionally dependent on a candidate key. Since all attributes are prime, they are part of a candidate key, ensuring the relation meets the conditions of 3NF.

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Answer:

Step-by-step explanation:

The slope of the line passing through the points (0,2) and (6,6) can be found using the slope formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) = (0, 2) and (x2, y2) = (6, 6)

slope = (6 - 2) / (6 - 0)

slope = 4 / 6

slope = 2/3

Therefore, the slope of the line is 2/3.

By consistently depositing $10,000 each year for 5 years at an interest rate of 8%, you would accumulate around $48,786.15.

Over a period of 5 years, assuming an annual deposit of $10,000 at an interest rate of 8%, you would accumulate a significant amount through compound interest.

To calculate the total amount after 5 years, we can use the formula for the future value of an ordinary annuity:

\( FV = P \times \left( \frac{{(1 + r)^n - 1}}{r} \right) \)

Where:

FV = Future value

P = Annual deposit

r = Interest rate per period

n = Number of periods

In this case, the annual deposit is $10,000, the interest rate is 8% (or 0.08 as a decimal), and the number of periods is 5 years. Plugging these values into the formula:

\( FV = 10000 \times \left( \frac{{(1 + 0.08)^5 - 1}}{0.08} \right) \)

After evaluating the expression, the future value (FV) after 5 years would be approximately $48,786.15.

Therefore, by consistently depositing $10,000 each year for 5 years at an interest rate of 8%, you would accumulate around $48,786.15. This demonstrates the power of compounding interest over time, where regular contributions can lead to significant growth in savings.

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Answer:

please what is the question? is it to construct a segment

Answer:

She will be n+10 years old.

Answer:

\(\boxed{n + 10 years}\)

Step-by-step explanation:

Now Ana is n years

\(n \: \: \: years\)

how old she be in 10 years.

Here you have to add 10 years to n years

\(n + 10\)

The right solution is option C, which is Y'(1, -4) and Z'(-2, -1).

A triangle is a three-sided polygon that is sometimes (but not always) referred to as the trigon. Every triangle has three sides and three angles, which may or may not be the same. A triangle is a three-sided polygon with three edges and three vertices in geometry. The total of a triangle's interior angles equals 180 degrees, which is its most essential feature. This is known as the angle sum property of a triangle.

Here,

To translate a triangle, you need to add the same value to each x-coordinate and each y-coordinate. In this case, the translation moves each point 2 units to the left and 3 units down, so the new coordinates of Y and Z would be:

Y'(3 - 2, -1 - 3) = Y'(1, -4)

Z'(0 - 2, 2 - 3) = Z'(-2, -1)

The correct answer is Y'(1, -4) and Z'(-2, -1) that is option C.

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Answer:

1. A

2. B

3. D

Step-by-step explanation:

Use PEMDAS to solve all

1.

8^2 - 6*2

8*8 - 6*2

64 - 12 = 52

2.

4^2 * 3 + 4 * 2

4 * 4 * 3 + 4 * 2

16 * 3 + 8

48 + 8 = 56

3.

9^2 - 2(5+3)

9 * 9 - 2(8)

81 - 16 =65

Answer:

The answer is (16.538461(repeated), 26.461538(repeated))

Answer:

x=16.538462 and y=26.461538

Answer:

Step-by-step explanation:

Reading rate is y pages per x minutes and proportional relationship formula is:

The coefficient is:

Let's verify if the given numbers fit into the same relationship:

We confirm all same and it means k = 2/3

Required equation is:

This represents that Michael reads 2 pages per 3 minutes and for x minutes he reads 2/3x pages

If a park is shown as a square on a map and each side of the park is 1 foot long, the actual length of each side of the park would also be 1 foot.

In this scenario, the park is represented in a 1:1 scale on the map. This means that the dimensions of the park on the map directly correspond to the actual dimensions of the park in real life. Therefore, if each side of the park on the map is 1 foot long, the actual length of each side of the park will also be 1 foot.

It's important to note that this assumes the map accurately represents the scale and there is no distortion or resizing involved.

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The angle pairs are:

1. E. same side interior angles

2. G. Corresponding angles

3. A. Vertical angles

4. I. Supplementary angles

Angle pairs are two angles that share a common side and a common vertex. Angle pairs are important in geometry because they allow us to study the relationships between angles and the properties of geometric figures.

There are several types of angle pairs, including:

By understanding the properties of these angle pairs, we can solve problems in geometry involving angles and their measures.

Therefore:

1. The angles are E. same side interior angles

2. Angles labelled 2 are: G. Corresponding angles

3. Angles labelled 3 are: A. Vertical angles

4. Angles labelled 4 are: I. Supplementary angles

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The surface area needed to be paint is 3,008 sq. ft. The cans requires for the paint are 15.

A cuboid is a 3 solid with six (rectangular) faces, eight vertices, and twelve edges.

Total Surface Area (TSA) = 2(lb + bh + hl) sq.units

where, i is the length, b is the breadth and h is the height.

The given values are;

length l = 12 ft

breadth b = 10 ft

height h = 16 ft

Put the values in the formula;

Total Surface Area (TSA) = 2(12×10 + 10×16 + 16×12)

                                         = 2×(120 + 160 +192)

                                          = 2×(472)

Total Surface Area (TSA) = 1504

Now, reduce the area of the floor as it is not to be painted;

Painted area = Total Surface Area (TSA) - area of floor

                     = 1504 -12×10

Painted area = 3,008 sq. ft

The area covered by 1 paint can is 200 sq. ft.

Can required = total painted area/painted area by one can

Can required = 3,008/200

                      = 14.44

Can required = 15 (as half can is not considered)

Therefore, the area painted is 3,008 sq. ft with the total number of cans as 15.        

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A manager wants to test whether two normally distributed and independent populations have equal variances. the appropriate test statistic for this test is a "F-statistics."

An F statistic is a value obtained after performing an ANOVA test or even a regression analysis to determine whether the means of two populations differ significantly.

Some key features regarding the F-statistics are-

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Answer:

x = 17

Step-by-step explanation:

3(x-12)=15

->

x-12+12=5+12

Answer:

The answer is $180

Step-by-step explanation:

10% = 0.10

.10 x 1800 = 180

Answer:

cost price ( cp) =$ 1800

loss = 10%

selling price ( sp) = ?

we know,

sp= cp - loss percent of cp

= 1800- 10/100 × 1800

= 1800 - 0.1× 1800

= 1800-180

=$1620

: . $1620 is the selling price of an article.

Answer: False

Step-by-step explanation:

Answer:

3y

Step-by-step explanation:

\(\\ \rm\Rrightarrow \dfrac{3^{-3}\times 3^{-5}}{3^{-10}}\)

\(\\ \rm\Rrightarrow 3^{-3+10}\times 3^{-5}\)

\(\\ \rm\Rrightarrow 3^73^{-5}\)

\(\\ \rm\Rrightarrow 3^{7-5}\)

\(\\ \rm\Rrightarrow 3^2\)

Answer:

3²

Step-by-step explanation:

Given expression:

\(\sf (3^{-3} \div 3^{-10}) \times 3^{-5}\)

Following the order of operations, carry out the calculations inside the parentheses first.

\(\textsf{Apply the quotient exponent rule} \quad a^b \div a^c=a^{b-c}:\)

\(\implies \sf 3^{-3-(-10)} \times 3^{-5}\)

\(\implies \sf 3^{-3+10} \times 3^{-5}\)

\(\implies \sf 3^{7} \times 3^{-5}\)

\(\textsf{Apply the product exponent rule} \quad a^b \times a^c=a^{b+c}:\)

\(\sf \implies 3^{7+(-5)}\)

\(\sf \implies 3^{7-5}\)

\(\sf \implies 3^2\)

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