Find the volume of a cone with a height of 12 yd and a base diameter of 12 yd.

Use the value 3.14 for , and do not do any rounding.

Answer:

x=9

Step-by-step explanation:

:)

Answer:

8 cookies were left after the bake sale. 72 were sold.

Step-by-step explanation:

64*1.25= 80

80*.9= 72

8

125% of 64 is equal to 80.

90% of 80 is equal to 72.

The number left was 10% of the number he made. The number he made was 125% of 64, so the number left was 8

 10% × 125% × 64 = 0.125 × 64 = 8

thats all i could really come up with at the top of my head

The steps to sketch the graph of a rational function in the appropriate order is in the order: 1,4,2,3

The steps to sketch the graph of a rational function will be first to find the function's zeros and vertical asymptotes, and plot them on a number line, the second step is to choose test numbers to t the left and right of each of these places, and find the value of the function at each test number., the third step is to use test numbers to find where the function is a positive and where it is negative and the last step is to sketch the function's graph, plotting additional points as guides as negative.

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Place the steps to sketch the graph of a rational function in the appropriate order.

1)find the function's zeros and vertical asymptotes, and plot them on a number line.

2) use test numbers to find where the function is positive and where it is negative.

3) sketch the function's graph, plotting additional points as guides as negative.

4)choose test numbers to t the left and right of each of these places, and find the value of the function at each test number.​

Answer:

Giraffe = 10

Guinea Pig = 4

Tiger = 16

Step-by-step explanation:

G       GP      T                                  = 30

----------------------------------------------------------

X      X-6     (X-6)*4

-----------------------------------------------------------

9         3         12                               = 24

----------------------------------------------------------

10       4         16                               = 30 ✅

----------------------------------------------------------

Answer:

17

Step-by-step explanation:

Answer: 17:850  

Step-by-step explanation:

A Ratio explains how two commodity or items are related and how much of one is contained in another. in the ratio 7 : 350, 7 is contained in 350 by 50 times, this is gotten by dividing 350 by 7 to get a reduced ratio of 1:50. :(Tip-Divide the first number by the second.)

The measure of Angle C is approximately 26°.

A, B, C are vertices of a triangle, where AB = 8 cm, BC = 6 cm. To determine the measure of angle C, we need to use the cosine rule.

The cosine rule states that the square of one side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of the other two sides and the cosine of the angle between them.

Mathematically, we can represent it as follows:a² = b² + c² - 2bc cos(A)where a is the side opposite to angle A, b is the side opposite to angle B, c is the side opposite to angle C.

In this case, we have AB = c = 8 cm, BC = a = 6 cm, and AC = b. We need to find the measure of angle C, which is represented as cos(C).

Using the cosine rule, we can write the equation as follows:$$\begin{aligned} b^2 &= c^2 + a^2 - 2ca\cos(C) \\ \Right arrow b^2 &= 8^2 + 6^2 - 2 \times 8 \times 6 \cos(C) \\ \Right arrow b^2 &= 64 + 36 - 96 \cos(C) \\ \Right arrow b^2 &= 100 - 96 \cos(C) \end{aligned}$$We know that b is a positive length. Hence, b² > 0 or 100 - 96 cos(C) > 0. Solving for cos(C),  

we get: cos(C) < 100/96cos(C) < 1.0417Using a calculator, we can determine the inverse cosine of 1.0417 as:cos⁻¹(1.0417) = 0.4569 radians = 26.201° (rounded to the nearest degree)

Therefore, the measure of angle C is approximately 26°.

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The choice between these tests depends on the assumptions of normality, variance equality, and the nature of the data.

The choice between using an independent t-test with equal variance, independent t-test with unequal variance, or the Wilcoxon signed test depends on the nature of the data and the assumptions that can be made.

The independent t-test assumes that the data is normally distributed and that the variances in the two groups being compared are equal. It is appropriate when the data meets these assumptions and the objective is to compare means between two independent groups.

However, if the assumption of equal variances is violated, an independent t-test with unequal variance (also known as Welch's t-test) can be used. It does not assume equal variances and provides a more robust analysis in such cases.

On the other hand, the Wilcoxon signed test (also known as the Wilcoxon signed-rank test) is a non-parametric test used when the data does not meet the assumptions of normality or when dealing with ordinal or skewed data. It is typically used to compare paired samples or matched data, where each observation in one group is paired with a corresponding observation in the other group.

The independent t-test with equal variance is appropriate for normally distributed data with equal variances. The independent t-test with unequal variance is used when the assumption of equal variances is violated. The Wilcoxon signed test is employed for non-parametric data or when dealing with paired samples.

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That would be Q my dude.

Hope this helps

Answer:

\(\frac{1}{3} y\) - \(\frac{7}{5}x\) + \(\frac{2}{3}\) - \(\frac{2}{3} y\) - \(\frac{4}{9}\)

Step-by-step explanation:

We are to find the expression which is equivalent to;

\(-\frac{2}{3}y\) - \(\frac{3}{5} x\) + \(\frac{2}{9}\) - \(\frac{4}{5}x\) + \(\frac{1}{3}y\)

Putting the like terms together we get;

\(-\frac{2}{3}y\) + \(-\frac{2}{3}y\) - \(\frac{3}{5} x\) - \(\frac{4}{5}x\) + \(\frac{2}{9}\)

Simplifying this gives;

\(-\frac{1}{3}y\) - \(\frac{7}{5}x\) + \(\frac{2}{9}\)

The equation that is equivalent to this answer from the choices is;

\(\frac{1}{3} y\) - \(\frac{7}{5}x\) + \(\frac{2}{3}\) - \(\frac{2}{3}y\) - \(\frac{4}{9}\)

Answer:

The answer is C

Step-by-step explanation:

To calculate the compound interest of an investment, we shall use the following formula;

Where the variables are;

With the information available, we can calculate the amount of this investment after 13 years as follows;

ANSWER:

The investment after 13 years would be worth $6,353.38

Answer:

3x-y=5

Step-by-step explanation:

standard form is 3x-y=5

Answer:3 1/3

Step-by-step explanation:

It’s 3 1/3

Therefore , as a result Two of a triangle's sides and the included  SAS angle are said to be congruent if they match the corresponding sides and angles of another triangle.

The Side-Angle-Side rule is applied to check the congruence of a set of triangles. The SAS rule states that a triangle is congruent if its two sides and included angles match those of another triangle.

Here,

if the first triangle's two sides and one of its included angles are equal to the second triangle's sides and one of its included angles.

Consequently, the SAS declares two triangles to be congruent. Two triangles are said to be congruent if their matching two sides and their included angles are found in a single triangle, according to the SAS theorem of congruence.

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Given info:- In triangle (∆)ABC , in which ∠A = 2x, ∠B = x+15° and ∠C = 2x + 10°. Then find the value of x , also find the measure of each angles of a triangle.

Explanation:-

Let the angles be 2x, x+15 and 2x+10 respectively.

∵ Sum of the three angles of a triangle is 180°

∴ ∠A + ∠B + ∠C = 180° [Sum of ∠s of a ∆=180°]

→2x + x+15 + 2x+10 = 180°

→ 2x + x + 2x + 15 + 10 = 180°

→ 3x + 2x + 15 + 10 = 180°

→ 5x + 15 + 10 = 180°

→ 5x + 25 = 180°

→ 5x = 180°-25

→ 5x = 155°

→ x = 155°÷5 = 155/5 = 31.

Now, finding the measure of each angles of a ∆ABC by putting the original value of “x”.

∴ ∠A = 2x = 2(31) = 62°

∠B = x+15 = 31 + 15 = 46°

∠C = 2x + 10 = 2(31) + 10 = 62 + 10 = 72°.

The unit rate of computers per day using the graph is that 12 computers are made per day.

The unit rate is how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. Unit rates is said to be the amount of something in each unit or per unit.

To obtain the unit rate of computers sold per day using the graph, we need to obtain the slope of the graph, which is the change in y per change in x

So, it is given by:

\(\text{Slope} = \dfrac{\text{change in y}}{\text{change in x}}\)

\(\text{Slope} = \dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)

\(\text{y}_2 = 60 , \ \text{y}_1 = 36 , \ \text{x}_2 = 5, \ \text{x}_1 = 3.\)

\(\text{Slope} = \dfrac{(60 - 36)}{(5 - 3)} = \dfrac{24}{2} = 12\)

\(\bold{Slope = 12}\)

Unit rate = 12 computers per day.

The attachment of the graph is given below.

Therefore, the unit rate of computers per day is 12.

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Answer:

y = 64

Step-by-step explanation:

Let's solve your equation step-by-step.

√y=8

Solve Square Root.

√y=8

y=82(Square both sides)

y=64

Check answers. (Plug them in to make sure they work.)

y=64(Works in the original equation)

1) The y intercept is 30°F and there are 0 chips

2) Additional 60°F for every 50 chips

3) The temperature increased by 30°F

4) The number of chips increased by 30

In mathematics, a graph is a representation of a set of objects or relationships between them, often shown visually using a set of points and lines or curves connecting them.

Graphs can be used to represent a wide variety of data, from the relationships between people in a social network to the flow of traffic between different points in a transportation network.

The slope is obtained from;

m = y2 - y1/x2 - x1

m = 90 - 30/50 - 0

m = 6/5

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From the graph attached below, the solution to the system of linear inequalities are (1, 4)

A system of linear inequalities is a collection of linear inequalities in the same variables. The solution is any ordered pair that satisfies each of the inequalities.

In the problem given;

y < - x + 5 ...eq(i)

y ≥ 3x + 1 ...eq(ii)

To determine the solution to the system of linear inequalities, it is easier for us to use graphical method. This is simply done by plotting the points and determine the coordinate at which both inequalities intersect.

From the graph of the system of linear inequalities, the solution to this is (1, 4) which is option E

Kindly find attached graph below

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Answer:

  17 years

Step-by-step explanation:

The formula for the value of an account earning compound interest can be used to find the number of years. That formula is ...

  A = P(1 +r/n)^(nt)

where P is the principal invested at annual rate r compounded n times per year for t years.

__

Solving for t, we find ...

  A/P = (1 +r/n)^(nt) . . . . . . divide by P

  log(A/P) = nt·log(1 +r/n) . . . . take logarithms

  t = log(A/P)/(n·log(1 +r/n)) . . . . . divide by the coefficient of t

For the given values, the time required is ...

  t = log(1740/670)/(365·log(1 +0.055/365)) ≈ 17.353

It would take about 17 years for the account value to reach $1740.

_____

Additional comment

The time-value-of-money (TVM) apps of your calculator or spreadsheet can be used to find the time period of interest. Here, setting P/Y = 1 gives N in years.

The standard form of the equation of the line passing through (8,-3) that is parallel to the line 3y=4x+8 is 4x - 3y = 41

The equation of the line in standard form can be represented as follows:

Ax + By = C

where

Therefore, the standard form of the equation of the line through (8,-3) that is parallel to the line 3y = 4x + 8 is a s follows;

Parallel lines have the same slope.

Hence,

3y = 4x + 8

y = 4  / 3 x + 8 / 3

The slope of the line is 4 / 3. Hence, the line passes through (8, -3). let's find the y-intercept.

y = 4 / 3 x + b

-3 = 4 / 3 (8) + b

b = -3 - 32 / 3

b =  -9 - 32/ 3

b = -41 / 3

Hence,

y = 4 / 3 x - 41 / 3

multiply through by 3

3y = 4x - 41

Therefore, the standard form is 4x - 3y = 41

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Answer:

x = 5/2

Step-by-step explanation:

Solve for x:

(5 x)/2 = 25/4

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of (5 x)/2 = 25/4 by 2/5:

(2×5 x)/(5×2) = 2/5×25/4

Hint: | Express 2/5×5/2 as a single fraction.

2/5×5/2 = (2×5)/(5×2):

(2×5)/(5×2) x = 2/5×25/4

Hint: | Express 2/5×25/4 as a single fraction.

2/5×25/4 = (2×25)/(5×4):

(2×5 x)/(5×2) = (2×25)/(5×4)

Hint: | Cancel common terms in the numerator and denominator of (2×5 x)/(5×2).

(2×5 x)/(5×2) = (5×2)/(5×2)×x = x:

x = (2×25)/(5×4)

Hint: | In (2×25)/(5×4), divide 25 in the numerator by 5 in the denominator.

25/5 = (5×5)/5 = 5:

x = (2×5)/4

Hint: | In (2×5)/4, divide 4 in the denominator by 2 in the numerator.

2/4 = 2/(2×2) = 1/2:

Answer:  x = 5/2

Answer:

the value of x that makes the equation true is x = 3.5.

Step-by-step explanation:

To find the value of x that makes the equation 18x + 5 - 3 = 65 true, we need to simplify the equation and solve for x.

Starting with the equation:

18x + 5 - 3 = 65

First, combine like terms:

18x + 2 = 65

Next, isolate the term with x by subtracting 2 from both sides:

18x = 65 - 2

18x = 63

Finally, divide both sides of the equation by 18 to solve for x:

x = 63 / 18

x = 3.5

Therefore, the value of x that makes the equation true is x = 3.5.

The answer is:

Steps & work :

First, I focus only on the left side.

Combine like terms:

\(\sf{18x+5-3=65}\)

\(\sf{18x+2=65}\)

Subtract 2 from each side:

\(\sf{18x=63}\)

Now, divide each side by 18:

\(\sf{x=\dfrac{63}{18}\)

Clearly, this fraction is not in its simplest terms, and we can divide the top and bottom by 9:

\(\sf{x=\dfrac{7}{2}}\)

\(\therefore\:\:\:\:\:\:\stackrel{\bf{answer}}{\boxed{\boxed{\tt{x=\frac{7}{2}}}}}}\)

Answer:

A would be correct

Step-by-step explanation:

the answer is A.

Answer:

the answer is B - the population is all of the vehicles that pass through the lane with the camera; the sample is the group of every tenth vehicle that passes through the lane.

Step-by-step explanation:

Statement second "population is all vehicles that pass the camera lane; the sample is the group of every tenth vehicle that passes through the lane" is correct.

It is defined as the group of data having the same entity which is related to some problems. The sample is a subset of the population, it is a part of the population.

A camera installed over one lane of the bridge photographs the license plate of every tenth vehicle that passes through that lane.

According to the population definition, all vehicles that pass through the lane with the camera are the total population.

For the sample data, the group of every tenth vehicle that passes through the lane is the sample.

Thus, the population is all of the vehicles that pass through the lane with the camera; the sample is the group of every tenth vehicle that passes through the lane.

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Answer:

Increasing 2400 by 5% gives us 2520

we can increase the value by using the formula:

\(initial value+ percentage increase *initial value\) = increased percentage

in the aforementioned question we have

initial value = 2400

percentage increase = 5%

thus we can find out the increased percentage by:

2400 + 2400 X (5/100)

=2400 + 120

=2520

the value by which 2400 is increased is 120

to arrive at the increased value which is 2520

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Answer: The percentage of people surveyed who liked blue cars is 50%.

Step-by-step explanation:

Total number of people partaking in survey= 36

number of people who like blue cars= 18

therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)

hence, percentage of people who liked blue cars= (18/36)*100 %

                                                                                  = 50%  

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Answer:

Percentage of people who like blue-coloured cars is 50%

Number of people who were surveyed=36

Number of people who like blue-colored cars=18

Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100

=(18/36)*100

=50%

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The formula for y in terms of x is y=160​/x^2.

We are given that;

y = 20 when t=4

And t = 8 when x = 2

Now,

To find the value of k by using the fact that y = 20 when t = 4:

20=k⋅4

k=5

Also, y=5t

Next, we use the fact that t is inversely proportional to the square of x. We can write:

t=x2k​

where k is a constant of proportionality. We can find the value of k by using the fact that t = 8 when x = 2:

8=22k​

k=32

Now we know that:

t=x232​

Substituting this into the equation for y:

y=5t=5⋅x232​=160​/x^2

Therefore, by proportions the answer will be y=160​/x^2.

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Part (a)

The equilibrium price occurs at the intersection of the supply and demand curves. See the diagram below to see how this looks. Ignore the red line and green lines for now. Those will apply for part (b).

If the price was below equilibrium, then we would have a shortage and it would lead to a pressure to push prices upward. If the price was below equilibrium, then there would be a surplus or oversupply, leading to a downward pressure in prices. So inevitably the price lands on the equilibrium if given enough time and there are no external forces acting on the market.

==============================================================

Part (b)

Let's say we have two people labeled person A and person B. If person A gets a higher education, while person B does not, then person A is likely to earn more money. Person B will see this and want to may want to earn more money as well, so that makes their demand for higher education go up.  While of course this rule doesn't work for everyone, in general we'll have enough people to effectively push the demand curve to the right while the supply curve remains where it is. Check out the diagram below to see what I mean.

==============================================================

Part (c)

Refer to the diagram in part (b). We have a new demand curve which intersects the supply curve to produce a new equilibrium point with price P1 and quantity Q1. So effectively the tuition has gone up due to higher demand.

==============================================================

Part (d)

If a government provides a subsidy, then this would lower the cost of education to provide people with more opportunities to improve their earning potential. The subsidy would provide a portion of the tuition which gives the illusion of the tuition price being lowered. In a way it's like getting a grant from the government to then pay that money toward your tuition.

Interest earned by Mary is $ 3,745.92 which is more than the interest than Josh earned that is $ 3,600.

For Mary:

Principal = $ 30,000

Interest rate = 4 %

Compounded annually

t = 3 years

Amount = $ 30,000 ( 1 + 4 / 100 )³

A = 30,000 ( 1.04)³

A = 30,000 ( 1.124864 )

A = $ 33,745.92

Interest = A - P = 33,745.92 - 30,000 = $ 3745.92

For Josh:

Principal = $ 30,000

Simple interest

t = 3 years

Interest = 30,000 × 3 × 4 / 100

Interest = $ 3600

Therefore, interest earned by Mary is $ 3,745.92 which is more than the interest than Josh earned that is $ 3,600.

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