Raina runs 6 miles in 44 minutes.At the same rate how many minutes would she take to run 9 miles?

Using the constant of proportionality the value of x when y is 72 is 9.

What is a COP?

The ratio between two quantities that are directly proportional is the constant of proportionality. When two quantities grow and shrink at the same rate, they are directly proportional.

If y varies directly as x, it means that y can be expressed as a constant multiple of x, i.e., y = kx, where k is the constant of proportionality.

To find k, we can use the given information that y = 48 when x = 6 -

y = kx

48 = k(6)

k = 8

Now that we know k, we can use it to find x when y = 72 -

y = kx

72 = 8x

x = 9

Therefore, when x = 72, the value of x = 9.

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Answer:

Axis of symmetry:  x = 5

Vertex form:  y = -4(x - 5)² + 3

Step-by-step explanation:

Given ordered pairs: (2, -33)  (3, -13)  (4, -1)  (5, 3)  (6, -1)

Axis of Symmetry

As this is a parabola, it will be symmetrical.  

To determine the axis of symmetry, identify two ordered pairs that have the same y-values and find their midpoint.

Two ordered pairs with the same y-value:  (-4, 1)  and  (6, -1)

Midpoint of x = 4 and x = 6 is:  x = 5

Therefore, the axis of symmetry is x = 5

Vertex form

Vertex form of a quadratic equation:  y = a(x - h)² + k

(where (h, k) is the vertex)

The axis of symmetry is the x-value of the vertex of the parabola.

As we have been given the point when x = 5, the vertex is:  (5, 3)

Substituting this into the formula:

⇒ y = a(x - 5)² + 3

To find the value of a, substitute any of the other points into the formula and solve for a.

Using (4, -1)

⇒ a(4 - 5)² + 3 = -1

⇒ a(-1)² = -4

⇒ a = -4

Therefore, the vertex form of the parabola is:

y = -4(x - 5)² + 3

The length of the third side is 2√34 + 6.

We can use the triangle inequality theorem to solve this problem. According to the theorem, the sum of any two sides of a triangle must be greater than the length of the third side.

Let x be the length of the third side. Then we have:

2√34 + 6 > x

Subtracting 6 from both sides, we get:

2√34 > x - 6

Adding 6 to both sides, we get:

x < 2√34 + 6

Therefore, the length of the third side must be less than 2√34 + 6.

To find the exact length of the third side, we need to check if the triangle inequality is satisfied for an equality. In other words, we need to check if:

2√34 + 6 = x

If this is true, then the given sides can form a triangle.

Simplifying the equation, we get:

x = 2√34 + 6

The exact length is 2√34 + 6 if the triangle inequality is satisfied for an equality.

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Answer:

Variance: 589.0545454545456

Standard Deviation: 24.270445926157716

Range: 79

Step-by-step explanation:

First, I added up all of the numbers:15 + 20 + 28 + 34 + 44 + 46 + 49 + 55 + 57 + 82 + 94 = 524

I squared the total, and then divided the number of items in the data set524 x 524 = 274576

274576 / 11 = 24961.454545454544

I took my set of original numbers from step 1, squared them individually this time, and added them all up:(15 x 15) + (20 x 20) + (28 x 28) + (34 x 34) + (44 x 44) + (46 x 46) + (49 x 49) + (55 x 55) + (57 x 57) + (82 x 82) + (94 x 94) = 30852

I subtracted the amount in step 2 from the amount in step 3:30852 - 24961.454545454544 = 5890.545454545456

I subtracted 1 from the number of items in my data set:11 - 1 = 10

I divided the number in step 4 by the number in step 5:5890.545454545456 / 10 = 589.0545454545456

This is my Variance!

Finally, I took the square root of the number from step 6 (the Variance),

√(589.0545454545456) = 24.270445926157716

This is my Standard Deviation!

Answer:

V≈2144.66m³

Step-by-step explanation:

V=4 /3πr^3

d=2r

Solving for V

V=1/ 6πd^3=1/ 6·π·16^3≈2144.66058m³

Hope this helped!!!

Answer:

2143.57 m³

Step-by-step explanation:

Formula of volume of sphere

\( = \frac{4}{3} \times π \times {r}^{3} \)

The volume of the sphere

\( = \frac{4}{3} \times 3.14 \times {(16 \div 2)}^{3} \)

\( = \frac{4}{3} \times 3.14 \times {8}^{3} \)

\( = \frac{6430.72}{3} \)

\( = 2143.573333...\)

= 2143.57 m³ (rounded to the nearest hundredth)

Each letter should be matched to its correct term as follows;

1. A ⇔ Efficiency.

2. B ⇔ Impossible.

3. C ⇔ Inefficiency.

In Economics and Mathematics, a production possibilities curve (PPC) can be defined as a type of graph that is typically used for illustrating the maximum and best combinations of two (2) products that can be produced by a producer (manufacturer) in an economy, if they both depend on the following two (2) factors;

Based on the production possibilities curve shown in the image attached above, we can reasonably infer and logically deduce that each of the letters represent the following terminologies;

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The answer is either 0.2 as a decimal or 1/5 as a fraction.

Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1, with 0 indicating impossibility and 1 indicating certainty.

To estimate the probability that Maria succeeds at fewer than 7 free-throws in a sample of 10, we need to sum up the number of successful free-throws in each simulated sample that are less than 7, and then divide by the total number of simulated samples.

From the dot plot, we can see that there are 5 simulated samples with fewer than 7 successful free-throws.

Therefore, the estimated probability that Maria succeeds at fewer than 7 free-throws in a sample of 10 is:

P(fewer than 7 successes) ≈ 5/25 ≈ 0.2

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Answer:

D.

(-7, 3)

Step-by-step explanation:

Given equation

y - 3 = 4(x + 7)

points are in form of (x,y) that is first value represent value of coordinate and

second value y represents value of y coordinates.

to find which point lies on given line equation we need to substitute value of x and see if value of y obtained is same as given in the option or not.

______________________________________

A.

(7, 3)

substituting x with 7 in the equation

y - 3 = 4(7 + 7)

=> y - 3 = 4(14)

=> y - 3 = 56

=> y = 56+3 = 59

Thus, we see value of y when x is 7 is 59

which is not equal to 3 as given in option A hence option A is not correct choice

B.

(7, -3)

As seen above for x = 7 , y is 59 hence option B is also incorrect

C.

(-7, -3)

substituting x with -7 in the equation

y - 3 = 4(-7 + 7)

=> y - 3 = 4(0)

=> y - 3 = 0

=> y = 0+3 = 3

Thus, we see value of y when x is -7 is 3

which is not equal to -3 as given in option C hence option C is not correct choice

D.

(-7, 3)

As calculated above value of y when x is -7 is 3

hence

option D is correct choice.

Missy will need a minimum of 570 square inches of wrapping paper to completely cover the box.

To calculate the minimum amount of wrapping paper needed to cover the box, we need to find the surface area of the box.

A rectangular box has six sides: a top, a bottom, two sides, and two ends.

The top and bottom sides have the same dimensions, which are 17.5 inches by 10 inches. So each of these sides has an area of 17.5 in × 10 in = 175 square inches.

The two side surfaces also have the same dimensions, which are 17.5 inches by 4 inches.

Each of these sides has an area of 17.5 in × 4 in = 70 square inches.

The two end surfaces have the same dimensions, which are 10 inches by 4 inches. Each of these sides has an area of 10 in × 4 in = 40 square inches.

To find the total surface area of the box, we add up the areas of all six sides:

175 in² (top) + 175 in² (bottom) + 70 in² (side 1) + 70 in² (side 2) + 40 in² (end 1) + 40 in² (end 2)

Total surface area = 570 in².

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Step-by-step explanation:

Given coordinates of the rectangle ABCD:

Lets first find coordinates of C

We can see that A and B are on same line horizontally, so C and D will be on the parallel line

The distance AB and CD are equal also distance AD and BC are equal, therefore

So the coordinates of C are:

Now the diagonals:

Since AC = BD, we can state they are congruent

Answer:

208

Step-by-step explanation:

Answer:

A:(angle) R corresponds to (angle)P’QQ’

D: Side RQ corresponds to side QQ’

Step-by-step explanation:

The two options are:

A:(angle) R corresponds to (angle)P’QQ’

D: Side RQ corresponds to side QQ’

Triangles are said to be congruent if they may be of the equal size and equal form. Two congruent triangles have an equal place and perimeter. All of the aspects and angles of a triangle are equal to the corresponding aspects and angles of its congruent triangle.

If two angles and the blanketed side of 1 triangle are the same as the corresponding angles and the covered aspect of the opposite triangle, then each triangle is congruent. If 3 aspects of one triangle are the same as the corresponding three facets of some other triangle then both triangles are congruent.

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Answer:

To graph the line with slope -1 passing through the point (-2,4), we can use the point-slope form of the equation of a line, which is:

where m is the slope of the line, and (x1, y1) is the given point on the line. Substituting the given values, we get:

Simplifying this equation, we get:

Now we can graph this line by plotting the given point (-2,4), and then using the slope of -1 to find one or more additional points on the line. We can do this by starting at the given point and then moving one unit down (since the slope is negative) and one unit to the right (since the slope is -1). This gives us the point (-1,3). We can then connect these two points to graph the line.

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\(\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ \stackrel{ \textit{we'll use this one} }{log_a a^x = x}\qquad \qquad a^{log_a (x)}=x \end{array} \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)+4\implies \log_2\left( \cfrac{1}{2^4} \right)+4\implies \log_2(2^{-4})+4\implies -4+4\implies \text{\LARGE 0}\)

\(\rule{34em}{0.25pt}\\\\ \textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b\qquad\qquad \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)=y\implies 2^y=\cfrac{1}{16}\implies 2^y=2^{-4}\implies y=-4\)

By performing the division, the jogging track is 0.45 miles long.

Division is a mathematical operation that involves the splitting of a quantity into equal parts or groups.

The problem asks us to convert a length of 792 yards to miles. To do this, we need to use a conversion factor to relate yards to miles. We know that there are 1760 yards in a mile, so we can use this relationship to convert the length in yards to miles.

To convert yards to miles, we divide the length in yards by the number of yards in a mile. This is because we want to cancel out the units of yards and be left with the corresponding number of miles.

So, 792 yards / 1760 yards/mile gives us the length of the jogging track in miles. We can simplify this expression by performing the division to get the result of 0.45 miles. Therefore, the jogging track is 0.45 miles long.

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Answer:

The right triangular pyramid volume is given by the formula V = 1 3 × B × h , where B is the area of the triangular base and h is the height (the distance from the apex to the base).

Step-by-step explanation:

Answer:

192 cubic feet

Step-by-step explanation:

The volume V of a triangular pyramid is given by the formula:

V = (1/3) * base area * height

where base area is the area of the triangular base.

In this case, the triangular base has a length of 8 ft and a width of 8 ft, so it is a square with area:

base area = length * width = 8 ft * 8 ft = 64 sq ft

Substituting the given values into the formula, we get:

V = (1/3) * 64 sq ft * 9 ft

V = 192 cubic feet.

Therefore, the volume of the triangular pyramid is 192 cubic feet.

Answer:

The hypotenuse is the side AB

Step-by-step explanation:

Right Triangles

Right triangles are identified because they have an internal angle of 90°. The longest side is the hypotenuse and the two smaller sides are called the legs.

The hypotenuse is always opposite to the right angle.

The image provided below shows a right triangle ABC, whose angle C is 90°. Thus, the hypotenuse is the side AB.

Answer:

The probability of getting a 2, 4, or 6 when a dice is rolled is 1/2, or 50%. This is because there are six possible outcomes when a dice is rolled, and three of them are favorable outcomes (2, 4, or 6). Therefore, the probability of getting a 2, 4, or 6 is 3/6, which simplifies to 1/2 or 50%.

Answer:

Ali has 1528. She has 1146 more cards than Max. In total, there are 1910 cards.

Step-by-step explanation:

382 x 4 = 1528

1528 - 382 = 1146

1528 + 382 = 1910

Answer:

Answer:

x= 45

Step-by-step explanation:

45 x 2 =45

Answer:

2

Step-by-step explanation:

1 + 1 = 2

Answer:

The formula for finding the area of a circle using its radius is:

The formula for finding the area of a circle using its radius is:A = πr²

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.Note that π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter and is approximately equal to 3.14

Step-by-step explanation:

Hope it Helps

The formula for finding the area of a circle using its radius is π * r².

The formula for finding the area of a circle using its diameter is (π/4) * d².

The formula for finding the area of a circle using its radius is:

A = π * r²

where:

A represents the area of the circle,

π (pi) is a mathematical constant approximately equal to 3.14159, and

r represents the radius of the circle.

If you have the diameter of the circle instead of the radius, you can use the following formula:

A = (π/4) * d²

where:

A represents the area of the circle,

π (pi) is a mathematical constant approximately equal to 3.14159, and

d is the diameter of the circle.

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The roots of the given polynomial using the rational zero theorem are;  2, -4 and 6.

We are given the polynomial;

y = x³ - 4x² - 20x + 48

Since all coefficients are integers, we can apply the rational zeros theorem.

The trailing coefficient (the coefficient of the constant term) is 48

Find its factors (with the plus sign and the minus sign): ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±16, ±24, ±48.

These are the possible values for p.

The leading coefficient (the coefficient of the term with the highest degree) is 1.

These are the possible rational roots:

±1, ±2, ±3, ±4, ±6, ±8, ±12, ±16, ±24, ±48.

Checking the possible roots: if a is a root of the polynomial P(x), the remainder from the division of P(x) by x - a should equal 0 (according to the remainder theorem, this means that P(a)=0

Plugging in those values, the only ones that yield P(a) = 0 are; 2, -4 and 6.

Thus, these are the roots of the given polynomial.

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Answer:

y = 5

Step-by-step explanation:

Because of the perpendicular bisector, we know that WZ is congruent to WX. Therfore, we can set their equations as equal to eachother and solve for y.

Answer: its c.  x(12root x power 5)

Step-by-step explanation:

The angle  made by one of the tensions suspending particle P is 50⁰.

The angle θ made by one of the tensions is calculated by applying trig identities as follows;

the force opposite the angle = weight of the block = mg

W = 7.75 kg x 9.8 m/s²

W = 75.95 N

The angle θ made by one of the tensions is calculated as follows;

cos θ = (38 N ) / ( 59 N)

cos θ = 0.6441

θ = arc cos (0.6441)

θ = 50⁰

Thus, the angle θ made by one of the tensions is determined as 50 degrees.

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The missing part of the question is in the image attached.

The number of square inches of cardboard that are needed to make one

the container is 18.

We have,

The volume of the triangular prism.

= Area of the triangle x height

Now,

Height = 6 in

And,

To find the area of a triangle, we can use Heron's formula.

A = √(s(s-a)(s-b)(s-c))

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case, the side lengths of the triangle are 3.2 in, 3.2 in, and 2 in.

Let's calculate the area using Heron's formula:

s = (3.2 + 3.2 + 2) / 2 = 4.2

A = √(4.2(4.2 - 3.2)(4.2 - 3.2)(4.2 - 2))

A = √(4.2 x 1 x 1 x 2.2)

A = √(9.24)

A ≈ 3.04 square inches

Now,

The volume of the triangular prism.

= Area of the triangle x height

= 3.04 x 6

= 18.24 in²

Now,

Area of one cardboard.

= 1² in²

= 1 in²

Now,

The number of square inches of cardboard that are needed to make one

container.

= The volume of the triangular prism / Area of one cardboard

= 18.24 in² / 1 in²

= 18.24

= 18

Therefore,

The number of square inches of cardboard that are needed to make one

the container is 18.

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Answer:

D) 28

Step-by-step explanation:

Using my improbable math skills, I calculated that the answer is probably D

Correct me if I'm wrong~