, Ohio in 1990, the number of residents has decreased by 5% every 5 years. In 1990, there were 182,000 residents in Dayton, Ohio. Estimate the population in 2020 to the nearest whole number.

Answer:

[tex] V = \pi r^2 h[/tex]

And for this case the value for the height is [tex] h = 10.7 in[/tex] the diameter is provided [tex] D = 2r = 8.1 in[/tex] so then the radius is given by:

[tex] r = \frac{D}{2}=\frac{8.1 in}{2}= 4.05 in[/tex]

Then we can find the volume with the first formula and replacing we got:

[tex] V = \pi (4.05in)^2 (10.7 in)= 551.4 in ^3[/tex]

The final answer for this case would be 551.4 cubic inches

Step-by-step explanation:

The volume for a right circular cone is given by this formula:

[tex] V = \pi r^2 h[/tex]

And for this case the value for the height is [tex] h = 10.7 in[/tex] the diameter is provided [tex] D = 2r = 8.1 in[/tex] so then the radius is given by:

[tex] r = \frac{D}{2}=\frac{8.1 in}{2}= 4.05 in[/tex]

Then we can find the volume with the first formula and replacing we got:

[tex] V = \pi (4.05in)^2 (10.7 in)= 551.4 in ^3[/tex]

The final answer for this case would be 551.4 cubic inches

Answer V:183.8^3 previous answer is wrong

Answer:

Radius AC=12

Step-by-step explanation:

AB is a tangent to circle c so the tangent AB is perpendicular to the radius at A.

Then triangle ABC is right triangle at A.

So by Pythagoras theorem,

CB^2=AB^2 + AC^2

37^2= 35^2 + AC ^2

1369=1225 + AC^2

AC^2= 1369-1225= 144

AC=radical AC^2 =radical 144=12

Hope this helps...

(Note: ^ means power)

Answer:

AC = 12

Step-by-step explanation:

We can use the Pythagorean theorem

a^2 + b^2 = c^2

AC ^2 + AB ^2 = CB^2

AC ^2 +35^2 = 37^2

AC ^2 +1225=1369

Subtract 1225

AC^2 = 1369-1225

AC ^2 =144

Take the square root of each side

AC = sqrt(144)

AC = 12

Answer:

c

Step-by-step explanation:

The focus of the parabola is (–8,–51∕2), directrix is y = –61∕2 option (C) is correct.

It is defined as the graph of a quadratic function that has something bowl-shaped.

(x - h)² = 4a(y - k)

(h, k) is the vertex of the parabola:

a = √[(c-h)² + (d-k²]

(c, d) is the focus of the parabola:

We have an equation for the parabola:

The parabolic equation also in the form of quadratic equation.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

y = (-1∕2)(x – 8)² – 6

The vertex of the parabola is (h, k)

h = 8, k = -6

The focus of the parabola:

(c, d)

c = -6

d = -6 - 1/2 = -13/2 = -6 1/2

Directrix of the parabola:

y = -6 - (-1/2)

y = -6 + 1/2

y = -11/2 = -5 1/2

Thus, the focus of the parabola is (–8,–51∕2), directrix is y = –61∕2 option (C) is correct.

Learn more about the parabola here:

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The answer is the last one: k = 5

Hope I helped and good luck!

Answer:

(B)c = StartFraction (3) sine (45 degrees) Over sine (40 degrees) EndFraction

[tex]c=\dfrac{3 * \sin 45}{sin 40}[/tex]

Step-by-step explanation:

In Triangle ABC is shown.

[tex]\angle A B C=[/tex] 95 degrees

[tex]\angle B C A =[/tex] 45 degrees.

|AB|=c

|BC|=3.0 cm

[tex]\angle A+\angle B+\angle C=180^\circ\\\angle A+95+45=180\\\angle A=180-140=40^\circ[/tex]

Using the Law of Sines

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

[tex]\dfrac{3}{\sin 40}=\dfrac{c}{\sin 45}\\\\$Cross multiply\\c*\sin 40 =3 * \sin 45\\\\c=\dfrac{3 * \sin 45}{sin 40}[/tex]

The correct option is B.

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

prime: 3 5 7 11 13

P(notprime) = (12-5)/ 12 = 7/12

Answer:

A

Step-by-step explanation:

6 times 9 times 3 = 162

Answer:

7

Step-by-step explanation:

Answer:

Tyson had the better deal

Step-by-step explanation:

We simply want to know who paid less for the ticket.

Tyson bought 8 tickets for the members of his basketball team and it cost it $168 in total.

The cost of each ticket is therefore:

168 / 8 = $21

He paid $21 for each ticket.

The parent bought her son's ticket for $24.

Therefore, Tyson had the better deal because he paid $3 less than the woman.

Answer:

301.4

Step-by-step explanation:

Volume of a cylinder=pi*[tex]r^{2}[/tex]*h.  Assuming you want 3.14 for pi, we can substitue the 4m for r, 6 for h and 3.14 for pi.

V=3.14*[tex]4^{2}[/tex]*6

V=301.44

Since you want to round to nearest tenths, the answer is 301.4

The volume of the cylinder with the given value of radius and height to the nearest tenth place is 301.4 cubic meters.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )

Given the data in the question;

We substitute our values into the expression above.

V = π × r² × h

V = 3.14 × (4m)² × 6m

V = 3.14 × 16m² × 6m

V = 301.4m³

The volume of the cylinder with the given value of radius and height to the nearest tenth place is 301.4 cubic meters.

Learn more on volume of cylinder here: https://brainly.com/question/16788902

Answer:

B) 2x - 5 = 2y + 14

Step-by-step explanation:

slope intercept form: y = mx + b

B) 2x - 5 = 2y + 14 is the only answer choice that does not isolate y, and place all other terms on the other side; therefore, is your answer.

~

Answer:

B

Step-by-step explanation:

slope intercept is a formula of y=mx+b all other answers proposed give a form of slope intercept, but with Choice B you have to do math to convert it to slope intercept.

Answer:

$2.98

Step-by-step explanation:

$10.43 / 3.5 = $2.98

Answer:

Step 2

Step-by-step explanation:

Michelle's step in trying to solve the equation is given below:

[tex]\begin{aligned} t-\dfrac35&=\dfrac45\\\\ t-\dfrac35+\dfrac35&=\dfrac45+\dfrac35&\green{\text{Step } 1}\\\\ t&=1&\blue{\text{Step } 2} \end{aligned}[/tex]

Michelle made a mistake in Step 2.

The right hand side of Step 1:  [tex]\dfrac45+\dfrac35\neq 1[/tex]

Rather, the correct sum is:

[tex]\dfrac45+\dfrac35=\dfrac75\\\\=1\dfrac25[/tex]

Answer:

Its 1/5

Step-by-step explanation:

Khan

Answer:

x-intercept: (13/3, 0)

y-intercept: (0, -13)

Step-by-step explanation:

y+1 = 3x-12

y= 3x-13

For y-intercept:

y= 3(0) -13

y=-13

For x-intercept:

0=3x-13

3x=13

x=13/3

The intercepts of the line will be,

x-intercept: (13/3, 0)

y-intercept: (0, -13)

A y-intercept, also known as a vertical intercept, is the location where the graph of a function or relation intersects the coordinate system's y-axis. This is done in analytic geometry using the common convention that the horizontal axis represents the variable x and the vertical axis the variable y. These points satisfy x = 0 because of this.

Given that y+1=3(x - 4). The x-intercept and y-intercept will be calculated as,

y+1 = 3x-12

y= 3x-13

For y-intercept:

y= 3(0) -13

y=-13

For x-intercept:

0=3x-13

3x=13

x=13/3

Therefore, the x-intercept is (13/3, 0) and the y-intercept is (0, -13).

To know more about an intercept follow

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Answer:

-2

Step-by-step explanation:

G(x) = 3x -2

Let x = 0 to find the y intercept

G(0) = 3(0)-2

       =-2

Answer:

she will use 420 inches of paper with 69 left over

Step-by-step explanation:

It is what it is

Answer:

She would use 330 inches of paper

Answer:

76[tex]\pi[/tex] or 238.76 [tex]units^{3}[/tex]

Step-by-step explanation:

The volume of a cylinder is V = [tex]\pi r^{2} h[/tex]

Here the radius is  r = [tex]\frac{1}{2} d[/tex] = [tex]\frac{1}{2}(4)=2[/tex]

The height is given as 19 ft

Then plug in all the numbers into the equation

V = [tex]\pi (2^{2})(19) = 76\pi = 238.76 units^{3}[/tex]

Answer:

4 cups

Step-by-step explanation:

in order to convert 32 ounces into cups, you must divide 32 by 8. this will give you 4, your answer.

If this helps, please mark me brainliest. :)

Answer:

4 cups

Step-by-step explanation:

32/x = 8/1

8x = 32

x = 4

Answer:

14:6

3.5:1.5

21:9

Answer:

14/6

Step-by-step explanation:

Answer:

Neither

Step-by-step explanation:

Both equations are x=10

Answer:

1.45

Step-by-step explanation:

1. divide both sides of the equation by 20 to get rid of the 2o on the right side

[tex]\frac{29}{20}[/tex]= p x [tex]\frac{20}{20}[/tex]

now u end up with 1.45=p

hope it helped

Hello!

[tex]\boxed{ \bf The~degree~of~the~polynomial~is~B.~5}[/tex]

___________________________________________

The term with the greatest exponent determines the degree of the polynomial.

Let's list all the terms:

Out of all of these terms, the first one has the greatest exponent (5).

Answer: The measures of the angles are 64.6 degrees and 25.4 degrees.

Step-by-step explanation:

Complementary angles add up to 90 degrees.

x can be one angle, and (x-39.2) can be the other

x + (x-39.2) = 90

2x - 39.2 = 90

add 39.2 to both sides

2x = 129.2

divide each side by 2

x = 64.6

find the measure of the other angle

64.6-39.2 = 25.4

The measures of the angles are 64.6 degrees and 25.4 degrees.

Answer:

Step-by-step explanation:

Suppose two complementary angles of measures x And y then

x + y = 90 and y = x - 39.2

if we plug in  x - 39.2 instead of y in the equation x + y = 90 we get :

x + (x - 39.2) = 90

then

2x = 90 + 39.2

then

2x = 129.2

then

x = 129.2/2 = 64.6

therefore

y = 64.6 - 39.2

  = 25.4

______________________________

:)

Answer: Answer is B

Step-by-step explanation:

Remeber that the shorter a container is doesn't mean it has less mass or volume. the width can mean it holds more. If the radius is twice as big that can mean the contents is more and your getting a better deal.   hOpe this will help.

Answer:

The probability that less than 348 possess that characteristic is 0.2148 = 21.48%.

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

In this question, we have that:

[tex]n = 1200, p = 0.3[/tex]

So

[tex]\mu = E(X) = np = 1200*0.3 = 360[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{1200*0.3*0.7} = 15.8745[/tex]

The probability that less than 348 possess that characteristic is

Using continuity correction, this is P(X < 348 - 0.5) = P(X < 347.5), which is the pvalue of Z when X = 347.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{347.5 - 360}{15.8745}[/tex]

[tex]Z = -0.79[/tex]

[tex]Z = -0.79[/tex] has a pvalue of 0.2148.

The probability that less than 348 possess that characteristic is 0.2148 = 21.48%.

The population follows a normal distribution.

The probability that less than 348 possess that characteristic is 0.2248

The given parameters are:

[tex]\mathbf{n = 1200}[/tex]

[tex]\mathbf{p = 30\%}[/tex]

Start by calculating the mean:

[tex]\mathbf{\mu =np}[/tex]

[tex]\mathbf{\mu =1200 \times 30\%}[/tex]

[tex]\mathbf{\mu =360}[/tex]

Calculate the standard deviation

[tex]\mathbf{\sigma = \sqrt{np(1 - p)}}[/tex]

[tex]\mathbf{\sigma = \sqrt{360(1 - 30\%)}}[/tex]

[tex]\mathbf{\sigma = \sqrt{252}}[/tex]

[tex]\mathbf{\sigma = 15.87}[/tex]

Calculate the z-score

[tex]\mathbf{z = \frac{x - \mu}{\sigma}}[/tex]

Where:

x = 348

So, we have:

[tex]\mathbf{z = \frac{348 - 360}{15.87}}[/tex]

[tex]\mathbf{z = -\frac{12}{15.87}}[/tex]

[tex]\mathbf{z = -0.7561}[/tex]

So, the probability is represented as:

[tex]\mathbf{P(x < 348) = P(z < -0.7561)}[/tex]

From the z-table of probabilities, we have:

[tex]\mathbf{P(x < 348) = 0.2248}[/tex]

Hence, the probability that less than 348 possess that characteristic is 0.2248

Read more about probabilities at:

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Answer:

a)-2000

b)-2500

Step-by-step explanation:

Given:

W(t) = 100(t-15)²

applying derivation on both sides

W'(t) = 200(t-15)

->a) At what rate is the water running out at the end of 5 minutes?

Evaluating at t=5

W'(5)= 100(5-15) =>200(-10)

W'(5)=-2000

->b) What is the average rate at which the water flows out during the first 5 minutes?

[tex]\frac{W(5)-W(0)}{5-0} =\frac{100(5-15)^2*100(0-15)^2}{5} =>\frac{10000-22500}{5}[/tex]

=>-2500

Answer:

3.7096902=area

Step-by-step explanation:

2.1x1.4=2.94m^2

2.94+(.5pi(.7^2))

Answer:

b is 9 and h is 18

Step-by-step explanation:

because its times 1.5 for each one so like 5 times 1.5 is 7.5 so we can see that it is times by 1.5

Answer:

A) b = 9

D) h = 18

Step-by-step explanation:

b/6 = 7.5/5 = h/12

b/6 = 1.5

b = 9

1.5 = h/12

h = 18

Answer:

no it is not.

Step-by-step explanation:

%increase = 40% while %loss = about 28.6%