Amara is making peach cobbler. She has three recipes and is deciding which one to make. Recipe A Recipe C Recipe B Number of Servings: 9 Number of Servings: 12 Number of Servings: 42 • 4 lb. of peaches 2 lb. of peaches 10 Ib. of peaches 3 4 cup of butter . 1 1 cup of butter cup of butter 2 3 4 . cup of flour 1 cup of flour 2 cup of flour 1 1 cups of sugar 8 1 cups of sugar 3 3 4 cup of sugar tsp. of lemon juice tsp. of lemon juice • 1 tsp. of lemon juice Amara wants to make a recipe that isn't too sweet. 1. She thinks Recipe C will be the least sweet because it has the least amount of sugar. Do you agree? Explain your thinking

The simplified expression of \(\frac{x^{3}-8x^{2}}{x^2-64}\) is \(\frac{x^2}{x + 8}\)

The expression is given as:

\(\frac{x^{3}-8x^{2}}{x^2-64}\)

Factor the numerator

\(\frac{x^{2}(x-8)}{x^2-64}\)

Express the denominator as a difference of two squares

\(\frac{x^{2}(x-8)}{(x-8)(x + 8)}\)

Cancel out the common factor

\(\frac{x^2}{x + 8}\)

Hence, the simplified expression of \(\frac{x^{3}-8x^{2}}{x^2-64}\) is \(\frac{x^2}{x + 8}\)

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Answer:

he can run 24240 kilometers

Step-by-step explanation:

The probability of selecting a junior who takes the bus is P (Junior who takes the bus) = 12/200 = 0.06Hence, the probability that a randomly selected student is a junior who takes the bus is 0.06 or 6/100.

The given frequency table on how students get to school among the high school students is represented in the below table:Transportation Walk Bike BusDriveTotalGrade 9 11 10 14 15 50Grade 10 10 7 13 20 50Grade 11 8 6 12 24 50Grade 12 5 8 8 29 50 Total 34 31 47 88 200Given data from the above frequency table, we are interested in finding the probability of a randomly selected student being a junior who takes the bus.SolutionWe know that the total number of students is 200, and the total number of junior students is 50. Hence the probability of selecting a junior is P (Junior) = 50/200 = 0.25Similarly, the number of students who take the bus is 47 and the number of junior students who take the bus is 12.

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Answer:

D. A pair of intersecting lines

Step-by-step explanation:

A conic section is a fancy name for a curve that you get when you slice a double cone with a plane. Imagine you have two ice cream cones stuck together at the tips, and you cut them with a knife. Depending on how you cut them, you can get different shapes. These shapes are called conic sections, and they include circles, ellipses, parabolas and hyperbolas. If you cut them right at the tip, you get a point. If you cut them slightly above the tip, you get a line. If you cut them at an angle, you get two lines that cross each other. That's what happened in your question. The plane cut the cone at an angle, so the curve is two intersecting lines. That means the correct answer is D. A pair of intersecting lines.

I hope this helps you ace your math question.

answer my questions plz

Answer:

4x+5y=15

Step-by-step explanation:

Btw brainliest me plss

Answer:

That's great for Brad, wait are you talking about the Brad from clash royale? if so im impressed

Step-by-step explanation:

Answer:

1.14male studying biology

Answer:

Step-by-step explanation:

A+B= we will add both expressions

A+B=3x^4+2x^2-2x+1-2x^3+4x^2-3  we will add like terms

A+B= 3x^4-2x^3+6x^2-2x-2

A-B=3x^4+2x^2-2x+1-(-2x^3+4x^2-3)

A-B=3x^4+2x^2-2x+1+2x^3-4x^2+3

A-B=3x^4+2x^3-2x^2-2x+4

The expression for the perimeter is P = 12x - 16

The given parameters are

Length = 3x + 1

Width = 3x - 9

The perimeter is calculated as

P = 2 * (Width + Length)

So, we have

P = 2 * (3x + 1 + 3x - 9)

Evaluate

P = 2* (6x - 8)

Expand

P = 12x - 16

Hence, the expression for the perimeter is P = 12x - 16

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We have to identify the transformation from the function f(x) to g(x), being:

If we relate the two functions, we can write:

Then, we can conclude that to transform g(x) into f(x) we have to apply a vertical strectch by a factor of 5. It is a vertical stretch because it affects the value of the function, which is represented in the vertical axis.

Answer: vertical stretch by a factor of 5.

Number of seats in each row is 51 given that a rectangular auditorium seats 2244 people and number of seats in each row exceeds the number of rows by 7. This can be obtained by assuming the value of number of seats in each row, forming quadratic equation and using quadratic formula to find root.

Here in the question it is given that,

We have to find the number of seats in each row.

Let us assume that the number of seats in each row be x.

From the given statement, number of seats in each row exceeds the number of rows by 7, we can write that,

Number of seats in one row = Number of rows + 7

x = Number of rows + 7

⇒ Number of rows = x - 7

Total number of seats in the auditorium can be written as,

⇒ (Number of seats in one row)(Number of rows) = Total number of seats

(x)(x - 7) = 2244

x² - 7x = 2244

⇒ x² - 7x - 2244 = 0

By using quadratic formula we can find the root,

x = (-b ± √b² - 4ac)/2a

here in the question, a = 1, b = -7, c = -2244

√b² - 4ac = √(-7)² - 4(1)(-2244)

√b² - 4ac = √49 + 8976

√b² - 4ac = √9025

√b² - 4ac = 95

x = (-b ± √b² - 4ac)/2a

x = (7 ± 95)/2

x = 102/2 or x = -88/2

⇒ x  = 51 or x = -44

Hence number of seats in each row is 51 given that a rectangular auditorium seats 2244 people and number of seats in each row exceeds the number of rows by 7.

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We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour.

Sample Mean: = (29 + 27 + 34 + 40 + 22 + 28 + 14 + 35 + 26 + 35 + 12 + 30 + 23 + 18 + 11 + 22 + 23 + 33) / 18

= 480 / 18

≈ 26.667

Sample Standard Deviation (s):

= ✓((Σ(29 - 26.667)² + (27 - 26.667)² + ... + (33 - 26.667)²) / (18 - 1))

≈ ✓(319.778 / 17)

≈ ✓(18.81)

≈ 4.336

Confidence level = 99%

Sample Size (n) = 18

Sample Mean = 26.667

Sample Standard Deviation (s) = 4.336

Degrees of Freedom (df) = n - 1 = 18 - 1 = 17

Using a t-table or statistical software, we find that the critical value for a 99% confidence level with 17 degrees of freedom is approximately 2.898.

Margin of Error (E) = 2.898 * (4.336 / ✓18))

≈ 3.748

Confidence Interval = (26.667 - 3.748, 26.667 + 3.748)

= (22.919, 30.415)

We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour. This means that if we were to repeat the study multiple times and construct confidence intervals, approximately 99% of those intervals would contain the true mean healing rate of the population.

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Symmetry means,  hmmm usually a mirror image.

So when something is symmetry to another, is a way to say, one is the mirror image of the other, or namely they're just identical twins.

Now, if know that B is the midpoint, by definition is cutting AC into two equal halves, so AB is the mirror image of BC, so they're identical twins, there are no flaws, Q.E.D.

Check the picture below.

Answer:

C

Step-by-step explanation:

Answer: B

Step-by-step explanation:

The range of the function is -8 < y < -3(option c)

What is range?

The set of all the outputs for a certain inputs of a function is known as the range of the function or after substituting the domain, the entire set of all values possible as outputs of the dependent variable.

Given points on the graph is given by:

(x, y) = (-5, -3)

(x, y) = (10, -8)

A diagonal curve connecting both points.

Removing the x values to determine the range

y = -3

y = -8

-8 is less than -3

So, the range can be represented as

-8 less than y less than -3

So, we have

Range: -8 < y < -3

Hence, the range of the given data is -8 < y < -3.

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Answer:

4r(10r-9)•(r-3)

Steps:

\(40r^{3}-156r^{2}+108r\)

\(4r(10r^{2}-39r+27)\)

4r(r•(10r-9)-3(10r-9)

4r(10r-9)•(r-3)

In Cartesian coordinates, the region (call it \(R\)) is the set

\(R = \left\{(x,y,z) ~:~ x\ge0 \text{ and } y\ge0 \text{ and } 2 \le z \le 4-x^2-y^2\right\}\)

In the plane \(z=2\), we have

\(2 = 4 - x^2 - y^2 \implies x^2 + y^2 = 2 = \left(\sqrt2\right)^2\)

which is a circle with radius \(\sqrt2\). Then we can better describe the solid by

\(R = \left\{(x,y,z) ~:~ 0 \le x \le \sqrt2 \text{ and } 0 \le y \le \sqrt{2 - x^2} \text{ and } 2 \le z \le 4 - x^2 - y^2 \right\}\)

so that the volume is

\(\displaystyle \iiint_R dV = \int_0^{\sqrt2} \int_0^{\sqrt{2-x^2}} \int_2^{4-x^2-y^2} dz \, dy \, dx\)

While doable, it's easier to compute the volume in cylindrical coordinates.

\(\begin{cases} x = r \cos(\theta) \\ y = r\sin(\theta) \\ z = \zeta \end{cases} \implies \begin{cases}x^2 + y^2 = r^2 \\ dV = r\,dr\,d\theta\,d\zeta\end{cases}\)

Then we can describe \(R\) in cylindrical coordinates by

\(R = \left\{(r,\theta,\zeta) ~:~ 0 \le r \le \sqrt2 \text{ and } 0 \le \theta \le\dfrac\pi2 \text{ and } 2 \le \zeta \le 4 - r^2\right\}\)

so that the volume is

\(\displaystyle \iiint_R dV = \int_0^{\pi/2} \int_0^{\sqrt2} \int_2^{4-r^2} r \, d\zeta \, dr \, d\theta \\\\ ~~~~~~~~ = \frac\pi2 \int_0^{\sqrt2} \int_2^{4-r^2} r \, d\zeta\,dr \\\\ ~~~~~~~~ = \frac\pi2 \int_0^{\sqrt2} r((4 - r^2) - 2) \, dr \\\\ ~~~~~~~~ = \frac\pi2 \int_0^{\sqrt2} (2r-r^3) \, dr \\\\ ~~~~~~~~ = \frac\pi2 \left(\left(\sqrt2\right)^2 - \frac{\left(\sqrt2\right)^4}4\right) = \boxed{\frac\pi2}\)

Answer:

63 grams

Step-by-step explanation:

42*4+Δ = 42+ 3*Δ

168 +Δ = 42 +3Δ subtract a triangle from both sides

168+Δ-Δ=42+3Δ-Δ

168 = 42 +2Δsubtract 42 from both sides

168-42 = 2Δ

126 = 2Δ divide both sides by 2

63 = Δ

Answer:

JK=104°

KIJ=52

Step-by-step explanation:

The measures of the arc JK and angle KIJ of the given inscribed triangle are; Arc JK = 104° and  ∠KIJ = 52°

We have been given the arc KI = 116°, so we can find the angle KJI by intercept property.

Angle KJI = arc KI/ 2

Thus;

Angle KJI = 116°/2

Angle KJI = 58°

Now by angle sum property of a triangle, we get:

∠ K + ∠ I + ∠ J = 180°

70° + ∠I + 58° = 180°

∠I = 52°

By using intercept formula, we get arc KJ;

∠JIK = arc JK/ 2

2(∠ JIK) = arc JK

2(52°) = arc JK

arc JK = 104°

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Answer:

A is the right answer

Step-by-step explanation:

using distributive property

4*x + 2*4

4x+8

Answer:

y = 67.19

Step-by-step explanation:

y/5.6 = 12

=> y = 12(5.6)

=> y = 67.19

Answer:

The average rate of change of the function over the interval –3 ≤ x ≤ 4 is 2.

In a parallelogram, the opposite sides are parallel and congruent (they have the same length).

So we can write the following equation comparing the sides x + 30 and 2x - 40:

So the value of x is 100, therefore the correct option is the second one.

Answer:

what do you need help with exactly?

Step-by-step explanation:

The interval in set builder notation is {x : x ≥ -2 and x < 3, where x ∈ R} and the graph of the interval is given below.

Set builder form is used to represent the numbers in a set especially infinite numbers in a set using a statement which describes all the elements in the set.

Given interval is [-2, 3).

This is a closed interval from -2 and open interval at 3.

So, this interval contains all the elements from -2 to 3 where 3 is not included.

So, the set builder form can be written as,

{x : x ≥ -2 and x < 3, where x ∈ R}

The graph of the interval on the number line will be a straight line with closed circle at -2 and open circle at 3.

Hence the set builder form is {x : x ≥ -2 and x < 3, where x ∈ R}.

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Answer:

AB =  4.9cm

Step-by-step explanation:

We know

AC is 9.1 centimeters, and BC is 4.2 centimeters.

Find AB

We take

9.1 - 4.2 = 4.9cm

So, AB = 4.9cm

The solutions for the given system of equations are (-9, 33) and(-2, 12).

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The given system of equations are y=x²+8x+12 -----(i) and 3x+y=-6 -----(ii).

Here, y=-6-3x in the equation (i), we get

-6-3x=x²+8x+12

x²+8x+12+6+3x=0

x²+11x+18=0

Splitting middle term method, we get

x²+9x+2x+18=0

x(x+9)+2(x+9)=0

(x+9)(x+2)=0

x=-9 or x=-2

Substitute x=-9 in the equation (ii), we get

y=-6-3(-9)

y=33

Substitute x=-2 in the equation (ii), we get

y=-6-3(-2)

y=12

So, solutions are (-9, 33) and(-2, 12)

Therefore, the solutions for the given system of equations are (-9, 33) and(-2, 12).

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