There are 46 different pizzas you can get at a pizza shop. If 14 of them come with stuffed crust, what is the percent of pizzas that come with stuffed crust

Answer: 5 and 5/8

Step-by-step explanation: To write an improper fraction as

a mixed number, we divide the denominator into the numerator.

So in this problem, we divide 8 into 45.

8 divides into 45 five times with a remainder of 5.

Also, the denominator of the improper fraction

will become the denominator of the mixed number.

So we have 5 and 5/8

The fraction 45/8 is equal to the mixed fraction 5 5/8.

To convert the fraction 45/8 into a mixed fraction, follow these steps:

Step 1: Divide the numerator (45) by the denominator (8) to determine the whole number part of the mixed fraction.

45 ÷ 8 = 5 with a remainder of 5

Step 2: The quotient obtained in Step 1, 5, represents the whole number part of the mixed fraction. The remainder, 5, becomes the new numerator.

Step 3: Write the mixed fraction using the whole number, numerator, and denominator.

The mixed fraction is 5 5/8.

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Answer: 30 sandwiches

Step-by-step explanation:

you multply 4 times 10 and you get 40 then you buy 30 sandwiches becuase you have 40 bucks left

The answer is , the given geometric series converges, and its sum is -1/2.

Let's consider the given geometric series: 2 +10+50 +250 + ...

To determine whether the given geometric series converges or diverges,

let's first identify the ratio between successive terms of the series.

So, we have:

a1 = 2r = (10/2) = 5a2 = 10r = (50/10) = 5a3 = 50r = (250/50) = 5...

Let's generalize the above sequence:

a1, a2, a3, ...ar, ar², ar³, ...

where a1 = 2 and r = 5.

On analyzing the above sequence, we can observe that the ratio between the successive terms is a constant, which is 5.

Therefore, the given series is a Geometric Series with a common ratio of 5, and the series can be expressed as:

S∞ = a1/(1 - r)

where S∞ represents the sum of an infinite geometric series.

Hence, the series converges, and its sum can be determined using the formula for the sum of an infinite geometric series.

So, substituting the values of a1 and r in the above formula:

S∞ = 2/(1 - 5) = -1/2

Therefore, the given geometric series converges, and its sum is -1/2.

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Determine if a geometric series converges or diverges given it in Section 10.2: Infinite Series. the geometric series below diverges.

In such case, calculate its total. 2 + 10 + 50 + 250 + ...

The formula S = a / (1 - r) may be used to get the sum of a geometric series with initial term "a" and common ratio "r" when |r| 1.above a = 2 and r = 10/2 = 5, the above geometric series diverges as |r| > 1. As a result, its amount is unknown. The geometric series below diverges as a result. If the series converged, we would need to use the formula S = a / (1 - r) t Given a geometric series, Infinite Series determine if it converges of diverges.

If it converges, then find its sum. 2 + 10 + 50 + 250 + ...The sum of a geometric series with first term 'a' and common ratio 'r' can be calculated by using the formula S = a / (1 - r) , when |r| < 1

In this case, a = 2 and r = 10/2 = 5As |r| > 1, the given geometric series diverges. Hence, its sum is undefined.

Therefore, the geometric series below diverges.

If the series converged, we would have to find its sum by using the formula S = a / (1 - r).

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The ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

Given the scale factor of two similar polygons, we need to find the ratio of their perimeters and the ratios of their areas,

To find the ratio of the perimeters of two similar polygons, we can simply write the scale factor as it is because the ratio of the perimeter is equal to the ration of the corresponding lengths.

1) So, perimeter = 3:1

The ratio of areas between two similar polygons is equal to the square of the scale factor.

Since the scale factor is 3:1, the ratio of their areas is:

(Ratio of areas) = (Scale factor)² = 9/1 = 9:1

Similarly,

2) Perimeter = 7:4

Area = 49/16

Hence the ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

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Mathematical statements are called expressions if they have at least two words that are related by an operator and contain either numbers, variables, or both.

For a square whose side are 2 units long is :

= 2 + 2 x 2 + 2

= ( 2 + 2 ) x 2

= 2 x 4

= 2 x 3 + 2 = 8

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Answer:

when X=1 y = -9/2

Step-by-step explanation:

\( - 4 < \frac{9}{8} > {}^{1} = - 4 < \frac{9}{8} > = - \frac{ 36}{8} = - \frac{9}{2} \)

Answer:

x = 27

Step-by-step explanation:

the 2 angles form a straight line and sum to 180° , that is

3x + 9 + 90 = 180

3x + 99 = 180 ( subtract 99 from both sides )

3x = 81 ( divide both sides by 3 )

x = 27

Answer: 3(x+3)

Step-by-step explanation: 3x+9 then factor out 3 = 3(x+3)

Answer:

Step-by-step explanation:

Amy = x years

Ben = x + 2  (years)

Alice = x - 6 (years)

Answer:

a)

Amy's age is x.

• Ben's age is 2 more than Amy's age.

∴ Ben's age = x + 2

• Alice's age is 6 less than Amy's age.

∴ Alice's age = x - 6

Answer:

For the first one, 29,000 s, 29,500 s, and 29,999 s.

For the second one, no because the bookcase is taller than the doorway.

Oof hope I'm correct and was able to help <3

Answer:

180

Step-by-step explanation:

Since 3 faces have even numbers and 3 faces have odd numbers, the probability of landing on an odd number is 1/2.

1/2 × 360 = 180

Step-by-step explanation:

8z^3+z^2+3z-1/z-1 you can use long division to get 8z^2+(9z^2+3z-1)/(z-1). You can keep dividing this equation until you get 8z^2+9z+12+11/z-1.

By using synthetic division, you can divide it into

1 -1. 8 1 3 -1 (a.k.a their coefficients)

Then bring the 8 down three, 1 down two, and 3, down one. Take that and multiply the one by each, and put it down. 8, 1, and 2. Then, do that with -1, to get -1, -2, and 1. So, the answer is 8z^2+9z+12+11+z-1. But since it's division, and there are 4 terms on one side, and 2 terms on the other, you have to divide it so it's 8z^2+9z+12+11/z-1.

Hope this makes sense!

Answer:

Step-by-step explanation:

Complementary angle add to 90°. So

  ∠C + ∠D  = 90°  →  ∠D = 69.5°

The amount of tile needed to cover the pedestal will depend on the size and shape of the pedestal. In order to determine how much tile is needed, you will need to measure the surface area of the pedestal.

The pedestal's dimensions are height, breadth, and length.

Multiply the height, width, and length of the pedestal to calculate the surface area.

Multiply the surface area by the number of tiles needed to cover the pedestal. To determine the number of tiles needed, divide the surface area by the area of each tile.

For example, if the pedestal is 2 feet tall, 2 feet wide, and 4 feet long, the surface area is 16 square feet. If each tile has an area of 1 square foot, then it will take 16 tiles to cover the pedestal.

In conclusion, the amount of tile needed to cover the pedestal will depend on the size and shape of the pedestal and the size of the tiles. To determine the amount of tile needed, measure the surface area of the pedestal and then multiply it by the number of tiles needed to cover the pedestal.

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The pedestal's size and shape will determine how much tile is required to cover it. It will take 1176cm² of tiles to cover the pedestal.

You will need to measure the pedestal's surface area in order to figure out how many tiles you need. The height, width, and length of the pedestal are the same. To determine the surface area, multiply the pedestal's height, width, and length.

S = 2*s1 + s2 + 2*s3

= 96 + 480 + 600

= 1176

Divide the total number of tiles required to cover the pedestal by the surface area. Divide the surface area by the area of each tile to determine the required number of tiles.

The surface area, for instance, is 16 square feet if the pedestal is 2 feet tall, 2 feet wide, and 4 feet long. 16 tiles will be required to cover the pedestal if each tile has a surface area of one square foot.

In conclusion, the dimensions of the tiles and the pedestal's size will determine how much tile is required to cover the pedestal. Multiply the surface area of the pedestal by the number of tiles required to cover it to find the required quantity of tiles.

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Answer:

(0,-41)

Step-by-step explanation:

You can see that for each 9 units that x goes up, y goes up by 19. If we continue this pattern, it will take 2 more jumps of 9 units for the x value to be 0 or to reach the y intercept. Adding 19 twice to -79 gives -41. Hope this helps!

The value of x which makes the given expression 1/2(3x+4) = 1/2x true is -2

We have to simplify the given expression to find the value of x

1/2(3x + 4) = 1/2x

Cancel 1/2 from both sides

⇒ 3x + 4 = x

⇒ 2x = -4

⇒ x = -2

Hence, the value of x is -2 which makes the given expression true.

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The "rise" direction represents the Recession Velocity, indicating the motion of galaxies away from us, while the "run" direction represents the X axis, representing the independent variable used to measure distance or time in the Hubble Constant equation.

The "rise" direction in the context of the slope of the Hubble Constant represents the Recession Velocity (RV). It signifies the rate at which galaxies are moving away from us in the expanding universe.

On the other hand, the "run" direction represents the X axis. It refers to the distance or time, depending on the specific interpretation, along the X axis used to measure the independent variable in the Hubble Constant equation.

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From the given history graph, the following are the runners that could run greater than 5.5 and less than 7.5 miles before they started to feel tired.

For runners that could run greater than 5.5 but less than 6.5 miles = 4 Runners

For runners that could run greater than 6.5 but less than 7.5 miles = 4 Runners

Therefore, the total number of runners that could run greater than 5.5 and less than 7.5 miles is:

Therefore, 8 runners could run greater than 5.5 and less than 7.5 miles.

Answer:

42 - 22 = 20

Mary has 20 more peanuts than Frank.

Answer:

20

Step-by-step explanation:

42-22=20

33333333333333333333333333333333333

The value of Sin2t is 1/4 and cos2t is (15/16)^1/2  and tan2t is 1/(15)^1/2.

According to the statement

we have given that the sint=1/8 then we have to find the exact value of

sin(2t) , cos(2t) , and tan(2t).

Here the value of Sint = 18

then sin2t becomes

sin2t = 2*1/8 then

sin2t = 1/4.

And

(Cos2t)^2 = 1 - (Sin2t)^2

(Cos2t)^2 = 1 - 1/16

(Cos2t)^2 = (16 - 1)/16

(Cos2t)^2 = 15/16

(Cos2t) = (15/16)^1/2

then

tan2t = sin2t/cos2t

tan2t = (1/4)/(15)^1/2 / 4

tan2t = 1/(15)^1/2

these are the values of given terms.

So, The value of Sin2t is 1/4 and cos2t is (15/16)^1/2  and tan2t is 1/(15)^1/2.

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The rewritten function after completing the square is h(x) = 4(x - 4.5)² - 81

To complete the square and rewrite the function in the desired form, we can follow these steps, Factor out the leading coefficient of the quadratic term (in this case, 4) from the first two terms:

h(x) = 4(x² - 9x) + 81

To complete the square, we need to add and subtract a constant term inside the parentheses that will make the expression a perfect square trinomial. To determine this constant term, we can take half of the coefficient of the x-term, square it, and add it to the expression. Half of -9 is -4.5, so we have,

h(x) = 4(x² - 9x + (-4.5)² - (-4.5)²) + 81

Simplify the expression inside the parentheses by combining like terms and factoring the perfect square trinomial,

h(x) = 4((x - 4.5)² - 20.25) + 81

Distribute the 4 and simplify,

h(x) = 4(x - 4.5)² - 81

Therefore, the function h(x) can be rewritten in the desired form as:

h(x) = 4(x - 4.5)² - 81

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According to the question For a) This statement is correct. For b) statement is incorrect. For c) statement is correct. For d) statement is incorrect and For e) This statement is correct.

a. A linear transformation is a special type of function.

This statement is correct. A linear transformation is a function between vector spaces that preserves the vector addition and scalar multiplication operations. In other words, it satisfies two properties: preservation of addition

\(\[T(u + v) = T(u) + T(v)\]\)

and preservation of scalar multiplication

\(\[T(cu) = cT(u)\]\)

where \(\(T\)\) is the linear transformation, \(\(u\)\) and \(\(v\)\) are vectors, and \(\(c\)\) is a scalar.

b. If \(\(A\)\) is a \(\(3 \times 5\)\) matrix and \(\(T\)\) is a transformation defined by  \(\(T(x) = Ax\),\) then the domain of \(\(T\)\) is \(\(\mathbb{R}^5\).\)

This statement is incorrect. The domain of the transformation \(\(T\)\) is determined by the size of the input vectors, which in this case is determined by the number of columns of matrix \(\(A\)\). Since \(\(A\)\) is a \(\(3 \times 5\)\) matrix, the domain of \(\(T\)\) is \(\(\mathbb{R}^5\), not \(\mathbb{R}\).\)

c. If \(\(A\)\) is an \(\(m \times n\)\) matrix, then the range of the transformation \(\(x \rightarrow Ax\)\) is \(\(\mathbb{R}^m\).\)

This statement is correct. The range of the transformation \(\(x \rightarrow Ax\)\) is the set of all possible outputs obtained by multiplying the matrix \(A\)\) with the input vectors \(\(x\).\) Since \(\(A\)\) is an \(\(m \times n\)\) matrix, the resulting vectors will have \(\(m\)\) dimensions. Therefore, the range of the transformation is \(\(\mathbb{R}^m\).\)

d. Every linear transformation is a matrix transformation.

This statement is incorrect. While every matrix transformation is a linear transformation (since matrix multiplication satisfies the properties of linearity), not every linear transformation can be represented by a matrix. Linear transformations can have various forms and may not always be expressible as matrix multiplication.

e. A transformation \(\(T\)\) is linear if and only if \(\(T(cv + c_2v_2) = cT(v_1) + c_2T(v_2)\)\) for all \(\(v_1\)\) and \(\(v_2\)\) in the domain of \(\(T\)\) and for all scalars \(\(c\)\) and \(\(c_2\).\)

This statement is correct. This equation represents the linearity property of a transformation. A transformation \(\(T\)\) is linear if and only if it satisfies this equation, which states that the transformation of a linear combination of two vectors is equal to the linear combination of the transformed vectors.

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The points that lies on the same line are (-3, 12), and, (-1, 4).

Here, we have,

The given coordinate points are (-2, 8) and (5,-20).

Here, slope (m)= 8+20/-2-5

= 28/-7

=-4

Substitute m= -4 and (x, y)=(-2,8) in y=mx+c, we get

8 = 8+c

or, c = 0

So, the equation of a line is y= -4 x

Now,

(-6, -2) in the given equation is -2=-4 (-6)

-2≠ 24

(-3, 12)  in the given equation is y= -4 x

12 = 12

(4, 16) in the given equation is y= -4 x

16 ≠ -16

(0, 6) in the given equation is y= -4 x

6 ≠ 0

(-1, 4) in the given equation is y= -4 x

4 = 4

(7,5) in the given equation is y= -4 x

5 ≠ -28

Therefore, the points that lies on the same line are (-3, 12), and, (-1, 4).

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Answer:

256 ways

Step-by-step explanation:

Okay so n cannot be in the nth place, but there are 5 places available.

So thinking about it technically you can have 4 of each number in a different spot not their own, and 4x4x4x4 = 256

However, if that doesn't work, you could try 4! which is 4x3x2x1 = 24

Hope that helps :)

The formula for f(x) is f(x) = -10x^4 + 3x^2 + 4.

How can we find the derivative of both sides of the equation?

We can find the derivative of both sides of the equation using the Fundamental Theorem of Calculus:

d/dx [−2x^5 + x^3 + 4x] = d/dx [∫_0^x f(t) dt]

-10x^4 + 3x^2 + 4 = f(x)

Therefore, the formula for f(x) is:

f(x) = -10x^4 + 3x^2 + 4

We can check that this formula satisfies the original equation by taking the definite integral:

∫_0^x f(t) dt = ∫_0^x (-10t^4 + 3t^2 + 4) dt = [-2t^5 + t^3 + 4t]_0^x = -2x^5 + x^3 + 4x

Thus, the formula for f(x) is f(x) = -10x^4 + 3x^2 + 4.

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Answer: A

Step-by-step explanation:

Answer:

Step-by-step explanation:

how much taller is a stack of 3 nickels than 1 nickel

1 nickel is 1.95mm high, 3 nickel is 3 x 1.95 = 5.85mm high,

make a difference and find out how much higher is a stack of 3 nickels than 1 nickel.

5.85 - 1.95 = 3.9mm

Answer:

12/90=6/45 and false is 8/12 =  5/8

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