If the sum of three consecutive numbers is 738, what is the middle one?

Answer:

x=28

So a

Step-by-step explanation:

2x+96+x=180   add like terms (2x+x)

3x+96=180       subtract 96 from both sides (3x+96-96=180-96)

3x=84               divide both sides by 3 (3x/3=84/3)

x=28

Answer:

Money = (1500)e^(0.06t)

t = num of months

Money = Money at end of that tiem period

Answer:

[tex]\frac{dh}{dt} = \frac{216}{1875\pi}[/tex]

Step-by-step explanation:

Given

Represent radius with r and height with h

[tex]h = 12ft[/tex]

[tex]r = 10ft[/tex]

[tex]Rate = \frac{8ft^3}{min}[/tex] when [tex]h = 10ft[/tex]

Express radius in terms of height

[tex]\frac{r}{h} = \frac{10}{12}[/tex]

[tex]\frac{r}{h} = \frac{5}{6}[/tex]

[tex]r = \frac{5}{6}h[/tex]

First, we need to determine the volume of the cone in terms of height.

[tex]Volume = \frac{1}{3}\pi r^2h[/tex]

Substitute [tex]r = \frac{5}{6}h[/tex]

[tex]V = \frac{1}{3} * \pi * (\frac{5}{6}h)^2 * h[/tex]

[tex]V = \frac{1}{3} * \pi * \frac{25}{36}h^2 * h[/tex]

[tex]V = \frac{1}{3} * \pi * \frac{25}{36}h^3[/tex]

[tex]V = \frac{25}{108} \pi h^3[/tex]

Differentiate both sides w.r.t time (t)

[tex]\frac{dV}{dt} = 3 * \frac{25}{108} \pi h^{3-1} * \frac{dh}{dt}[/tex]

[tex]\frac{dV}{dt} = \frac{75}{108} \pi h^{2} \frac{dh}{dt}[/tex]

Solve for [tex]\frac{dh}{dt}[/tex]

[tex]\frac{dh}{dt} = \frac{dv}{dt} * \frac{108}{75\pi h^2}[/tex]

At this point, [tex]h = 10[/tex] and [tex]\frac{dv}{dt} = \frac{8ft^3}{min}[/tex]

So, we have:

[tex]\frac{dh}{dt} = 8 * \frac{108}{75\pi 10^2}[/tex]

[tex]\frac{dh}{dt} = \frac{8 * 108}{75\pi 10^2}[/tex]

[tex]\frac{dh}{dt} = \frac{864}{7500\pi}[/tex]

[tex]\frac{dh}{dt} = \frac{216}{1875\pi}[/tex]

Hence:

The rate is [tex]\frac{216}{1875\pi} ft/min[/tex]

Using implicit differentiation, it is found that the depth of water changes at a rate of -0.0764 feet per minute.

The volume of a cone of radius r and height h is given by:

[tex]V = \frac{\pi r^2h}{3}[/tex]

Applying implicit differentiation, we can find it's rate of change, thus:

[tex]\frac{dV}{dt} = \frac{2\pi rh}{3}\frac{dr}{dt} + \frac{\pi r^2}{3}\frac{dh}{dt}[/tex]

In this problem:

Then:

[tex]\frac{dV}{dt} = \frac{2\pi rh}{3}\frac{dr}{dt} + \frac{\pi r^2}{3}\frac{dh}{dt}[/tex]

[tex]-8 = \frac{\pi (10)^2}{3}\frac{dh}{dt}[/tex]

[tex]\frac{dh}{dt} = -\frac{24}{100\pi}[/tex]

[tex]\frac{dh}{dt} = -0.0764[/tex]

The depth of water changes at a rate of -0.0764 feet per minute.

A similar problem is given at https://brainly.com/question/9543179

Answer:

consider G the center of the circle weight of the triangle abc, a prim, b prim, c prim are medium lat bc, ac, ab. if ga '= 5CM

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair.

Answer:

13 3/5 inches per hour

Step-by-step explanation:

If at 2 there is 23 inches and then at 7 there is 45, it has been 5 hours. Taking the mean (average) is just taking 45+23 and dividing it by 5. That gives you 68/5 which simplified to a mixed number is 13 3/5. So, there was a mean of 13 3/5 inches of snowfall hourly. Hope that helps!

Answer:

Z = [tex]\frac{0.11-0.08}{\sqrt{0.08*0.92/200} }[/tex]   = 1.6  

we reject the Null hypothesis

Step-by-step explanation:

The correct test statistic

Assume :

Null Hypothesis :  H_0 : p = 0.08

Alternative hypothesis : H_a : p ≠ 0.08

p = proportion of residents that are unemployed

x = unemployed residents = 22

n = sample size = 200

To get the sample of the population that is unemployed we use this equation

[tex]p = \frac{X}{n}[/tex]  =  22 / 200   = 0.11

now we apply the test of of significance of single proportion

= Z = [tex]\frac{p - P}{\sqrt{pq/n} }[/tex]

therefore Z = [tex]\frac{0.11-0.08}{\sqrt{0.08*0.92/200} }[/tex]   = 1.6

Therefore we reject the Null hypothesis

Testing the hypothesis, it is found that the test statistic used is z = 1.6.

At the null hypothesis, it is tested if the proportion is of 8%, that is:

[tex]H_0: p = 0.08[/tex]

At the alternative hypothesis, it is tested if the proportion is different of 8%, that is:

[tex]H_1: p \neq 0.08[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

For this problem, the parameters are: [tex]p = 0.08, n = 200, \overline{p} = \frac{22}{200} = 0.11[/tex]

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.11 - 0.08}{\sqrt{\frac{0.08(0.92)}{200}}}[/tex]

[tex]z = 1.6[/tex]

A similar problem is given at https://brainly.com/question/24166849

Answer:

k>3/2

Step-by-step explanation:

To solve this, you need to do fraction cross-multiplying.

So, If a/b=c/d, then a*d=c*b

After you cross-multiply, you get this: (11k-15)*4>3(5-2k)

If you simplify 3(5-2k), you get 15-6k

Then, simplify the next side as well

The full simplified expression should be: 44k-60>15-6k

If you add 60 to both sides, you get 44k>-6k+75

Then add 6k to both sides 50k>75

Then all you have to do is divide both sides by 50 and you get:

K>3/2 OR k>1.5

Answer:

i think its C

Step-by-step explanation:

sorry if i get it wrong

Answer:

47.581

Step-by-step explanation:

can't explain I just know how to do it

To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Answer:

20, 10, 12.50

Step-by-step explanation:

Sum of triangle: 180

So we know that:

7x + 3x + 8 + x + 7 = 180

Combine like terms:

11x + 15 = 180

11x = 165

x = 15

Plug in for x in order to find the angles.

You should be able to solve from here!

Answer:

  m∠I = 22

  m∠J = 53

  m∠K = 105

Step-by-step explanation:

m∠I = (x + 7)

m∠J = (3x + 8)

m∠K = (7x)

m∠I + m∠J + m∠K = 180°

(x + 7) + (3x + 8) + (7x) = 180

x + 7 + 3x + 8 + 7x = 180

11x + 15 = 180

11x = 165

x = 15

m∠I = 15 + 7 = 22

m∠J = 3(15) + 8 = 53

m∠K = 7(15) = 105

Answer:

it's 2 got it right on edg

Step-by-step explanation:

Answer:

6x−16

Step-by-step explanation:

Answer: on the first week she earned 220$ and on the second week she earns 200$

Step-by-step explanation: Haley makes a total of 400$ in a week. divided by 2 would equal 200$ each. but Haley made an extra 20$ in the first week. so, 200$+20$=220$.And the two combined is 420$.

Answer:

[tex]\frac{7\pi }{6} ; \ \frac{3\pi }{2} ; \ \frac{11\pi }{6}.[/tex]

Step-by-step explanation:

if 1=sin²Q+cos²Q, then cos²Q=1-sin²Q, then

2sin²Q+3sinQ+1=0;

[tex]\left[\begin{array}{ccc}sinQ=-1\\sinQ=-0.5\end{array} \ => \ \left[\begin{array}{ccc}Q=3\pi/2+2\pi *n\\Q=(-1)^n*\frac{7\pi }{6}+\pi n \end{array}[/tex]

on the interval Q=3π/2 (from the 1st equation) and Q=7π/6; 11π/6 (from the 2d equation).

Answer:

x+25. the first part of y is 160 and then -160

Step-by-step explanation:

the top x part is getting 25+ biggger

the top y part is getting 100+ smaller

Answer: hmmm simple it’s 15

Step-by-step explanation: your welcome

Answer:

it's 400-

Step-by-step explanation:

total minutes a day is 40, multiplied by 10 days

Answer:

108.90

Step-by-step explanation:

To find its price before the increase you say:

10% of 121 then the answer you subtract it from 121:

10 / 100 * 121 = 12.10

Then subtract 12.10 from 121

121-12.10= 108.90

So the price before the increase was 108.90

HOPE IT HELPED

Answer:

[tex]this \: proberbility \: is \: \frac{2}{5} [/tex]

Answer:

771

Step-by-step explanation:

Answer:

Two solutions.

hope that will help you

Answer:

A. zero

Step-by-step explanation:

3x + 13 = 3(x + 6) + 1

step 1. distribute 3 through the parantheses:

3x + 13 = 3(x + 6) + 1

step 2. cancel equal terms on both sides of the equation:

3x + 13 = 3x + 18 + 1

13 = 18 + 1

step 3. add the numbers:

13 = 18 + 1

13 = 19

13 ≠ 19, so there is no solution.

may i please have brainliest?

Answer:

4.

Step-by-step explanation:

−5n+5=−15

Step 1: Subtract 5 from both sides.

−5n+5−5=−15−5

−5n=−20

Step 2: Divide both sides by -5.

−5n

−5

=

−20

−5

n=4

Can I have Brainlliest? Hope it helps.

Answer:

n=4

Step-by-step explanation: