a cone has a radius of 5 and height of 6 Iowk need the answer asap please it's on khan academy!!​

Answer:

157,476 people

Step-by-step explanation:

the formula :

P(x) = 86700. (1+ 0.089)^r

for r = 7

=> P(x) = 86700 × (1+ 0.089)^7

= 86700 × (1.089)^7

= 86700 × 1.8163

= 157,476 people

The number of hours that James have to work each week will be 25 hours.

The word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge.

In this case, James has a job moving lawns during the summer. Suppose the formula for calculating the number of hours he will have to work each week is five times the difference of thirty-eight and three times the difference of fifteen and four hours.

The number of hours that James have to work each week will be:

= 5(38) - 3(15 - 4)

= 5(38) - 3(11)

= 5(38 - 33)

= 5 × 5

= 25 hours

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The maximum height reached by the ball is 908.5 feet.

Using the given values, we can substitute v0 = 152 and h0 = 6 into the equation:

\(h(t) = -16t^2 + 152t + 6\)

This quadratic function models the height of the ball at any time t after it is thrown.

To find the maximum height of the ball, we need to find the vertex of the parabolic curve described by the quadratic function. The vertex can be found using the formula:

t = -b / 2a

where a = -16 and b = 152 are the coefficients of the quadratic function.

t = -152 / 2(-16) = 4.75

So the maximum height is reached after 4.75 seconds. To find the maximum height, we can substitute this value back into the equation:

\(h(4.75) = -16(4.75)^2 + 152(4.75) + 6 = 908.5\)feet

Therefore, the maximum height reached by the ball is 908.5 feet.

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Question

A ball is thrown vertically upward from a height of 6 feet with an initial velocity of 152 feet per second. Write a quadratic function to model the vertical motion of the ball, given that the height of the ball at time t is given by: h(t) = -16t^2 + v0t + h0

Answer:

It's be 60 because 30% of 60 is 18. Hope that helped :)

Answer:

I think a fraction

Step-by-step explanation:

Xd

Answer:

Explanation:

Given:

We can get the value of the underlined digit by determining its place value.

Now based on the place value, the value of the underlined digit is 400.

4x100=400

Therefore, the answer is 400.

9514 1404 393

Answer:

  b.  y = (x - 5)² - 4

Step-by-step explanation:

Here, we take "standard form" to mean "vertex form."

In the US, "standard form" would be ...

  y = x² -10x +21

Vertex form is ...

  y = (x -5)² -4 . . . . matches B

The probability that the sample proportion of the number of people using the courier will differ from the population proportion by greater than 0.03 is 0.0504

The probability is calculated using z score, this is used to determine the amount of standard deviations a sample, X is from the mean

The z score is given by the formula

z = (X - μ) / σ

Definition of variables

mean, μ  = p = 0.05

sample size, n = 202

standard deviation, σ

= √{(p(1 - p)) / n}

= √{(0.05(1 - 0.05)) / 202}

= √{(0.05 * 0.95) / 202}

= 0.01533

The probability

differ from the population proportion by less than 3%

|X - 0.05| > 0.03

X < 0.02 OR X > 0.08

P(z < 0.02) + P(z > 0.08 )

z score for z < 0.02

z = (0.02 - 0.05) / 0.01533

= -1.9569

p value for z < -1.9569 = 0.02518

z score for z > 0.08

z = (0.08 - 0.05) / 0.02196

= 1.9569

p value for z > 1.9569 = 1 - 0.9748 = 0.02518

The probability required = 0.02518 + 0.02518 = 0.0504 = 5.04%

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Applying the steps to find the confidence interval of a proportion, it is found that the 90% confidence interval for the proportion of adult Twitter users that get at least some news on Twitter is (0.4892, 0.5356).

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the z-score that has a p-value of \(\frac{1+\alpha}{2}\).

From a SRS of 1251 adult Twitter users, 641 of them get at least some news on Twitter, hence:

\(n = 1251, \pi = \frac{641}{1251} = 0.5124\)

90% confidence level

So \(\alpha = 0.9\), z is the value of Z that has a p-value of \(\frac{1+0.9}{2} = 0.95\), so \(z = 1.645\).  

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5124 - 1.645\sqrt{\frac{0.5124(0.4876)}{1251}} = 0.4892\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5124 + 1.645\sqrt{\frac{0.5124(0.4876)}{1251}} = 0.5356\)

The 90% confidence interval for the proportion of adult Twitter users that get at least some news on Twitter is (0.4892, 0.5356).

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Answer:

(1, -5)

Step-by-step explanation:

Assuming that point S is (-2, -1):

If it is translated 3 units right, the x-coordinate of the point will be -2 + 3 = 1

If it is translated 4 units down, the y-coordinate of the point will be -1 - 4 = -5

So the coordinates of S' = (1, -5)

Answer:

-5

Step-by-step explanation:

Answer:

It's option B, (f • g)(x) = 3x^3 + 6x^2 - 5x - 10

Step-by-step explanation:

In this problem, we are dealing with a branch of functions called composite functions. What the difference is between normal and composite functions is that we instead of defining a value for f(x), take two functions, f(x) and g(x), in the form of f and g. For instance, h(x) = g.

• Take the products of both functions.

f(x)g(x) = 3x²+5 • x-2

• Next, expand the functions. We expand by combining like terms.

= 3x^3 - 6x^2 + 5x - 10

Since the function cannot be simplified further, this leads to option B being our answer.

Hope this helps!

Answer:

3 is the answer

Step-by-step explanation:

They are 8 blocks the ones shaded is the  denominator and the amount un-shaded are the numerator.

Answer:

That's an expensive a ss refrigerator It's time to choose an energy star refrigerator that's only going to cost them about $2.90 per month. in about 32 months paying $19 a month they would have paid for an energy star refrigerator. if they keep that same refrigerator they would be buying a brand new refrigerator every 32 months. spending the 600 dollars now for a new refrigerator would save them $16.10 per month. The savings would pay for that same refrigerator in about 38 months.

Answer:

A. 1.8 ×\(10^{30}\) Kg

B i. 3.0 × \(10^{17}\) seconds

  ii. 9.6 × \(10^{9}\) years

C. After 9.2 × \(10^{9}\) (9.2 billion) years

Step-by-step explanation:

Given that the mass of the Sun = 2× \(10^{30}\) Kg.

Mass of hydrogen when Sun was formed = 76% of 2× \(10^{30}\) Kg

                            = \(\frac{76}{100}\)  ×2× \(10^{30}\) Kg

                           = 1.52 × \(10^{30}\) Kg

Mass of hydrogen available for fusion = 12% of 1.52 × \(10^{30}\) Kg

                           = \(\frac{12}{100}\) × 1.52 × \(10^{30}\) Kg

                           = 1.824 ×\(10^{30}\) Kg

A. Total mass of hydrogen available for fusion over the lifetime of the sun is 1.8 ×\(10^{30}\) Kg.

B. Given that the Sun fuses 6 × \(10^{11}\) Kg of hydrogen each second.

i. The Sun's initial hydrogen would last;

                                     \(\frac{1.8*10^{30} }{6*10^{11} }\)

                                 = 3.04 × \(10^{17}\) seconds

The Sun's hydrogen would last 3.0 × \(10^{17}\) seconds

ii. Since there are 31536000 seconds in a year, then;

The Sun's initial hydrogen would last;

                                     \(\frac{3.04*10^{17} }{31536000}\)

                                 = 9.640 × \(10^{9}\) years

The Sun's hydrogen would last 9.6 × \(10^{9}\) years.

C. Given that our solar system is now about 4.6 × \(10^{9}\) years, then;

                               \(\frac{9.6*10^{9} }{4.6*10^{9} }\)

                             = 2.09

So that;   2 × 4.6 × \(10^{9}\) = 9.2 × \(10^{9}\) years

Therefore, we need to worry about the Sun running out of hydrogen for fusion after 9.2 × \(10^{9}\) years.

Part(A): The total mass of hydrogen available 9.6 billion years.

Part(B): The total time is 5.10 billion years.

Part(D): The hydrogen will last \(5.04\times 10^9 \ years\)

Our sun is the largest object in our solar system. The mass of the sun is approximately \(1.988\times 1030\) kilograms

Part(A):

Given that,

The total mass of the Sun =\(2\times10^{30} kg\)

Mass of hydrogen in Sun =  \(2\times10^{30} \times0.76\ kg\)

The mass of hydrogen ever available for fusion is,

\(2\times10^{30} \times 0.76 \times 0.12 kg = 1.824\times 10^{29}\)

Mass of hydrogen fuses each second = 600 billion kg/second.

Time hydrogen will last in seconds=\(1.824\times 10^{29}seconds.\)

\(= 0.00304\times 10^{29 }= 3.04\times 10^{17}.\)

Time hydrogen will last in seconds =\(1 year = 31,536,000 seconds.\)

\(31,536,000 x = 3.04\times 10^{17} = 9.6 \ billion \ years.\)

(B) Present age of sun = \(9.6-4.5 \ billion \ years\)

The time when we need to worry about Sun running out of hydrogen for fusion = 5.10 billion years.

(D) The solar system is 4.6 billion years old that is \(4.6\times 10^9\ years\)

And in part (B) we have calculated that hydrogen will last \(9.64\times 10^9\) then,

\(9.64\times 10^9-4.6\times 10^9=5.04\times 10^9\)

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Answer:

Step-by-step explanation:

x+9

Let x, be 4

4+9=13

given condition,

x+9<4x

4+9<4(4)

13<16

The answer is:

Work/explanation:

Our inequality is:

\(\sf{x+9 < 4x}\)

Flip it

\(\sf{4x > x+9}\)

Solve

\(\sf{4x-x > 9}\)

Combine like terms

\(\sf{3x > 9}\)

Divide each side by 3

\(\sf{x > 3}\)

The integers in the set s: {-2,-3,-4,-5} will make the inequality 4p-7 \(\geq\) 9p+8 true are : -3, -4, -5

Let's solve the inequality first

4p -7 \(\geq\)  9p  +8

Taking p's on the same side we will get :

-7 - 8 \(\geq\) 9p - 4p

-15 \(\geq\) 5p

Divide by 5 into both sides

-3 \(\geq\) p

i.e. p \(\leq\) -3

Therefore p must be less than or equal to -3

From the set, we have the numbers -3,-4,-5 which are less than or equal to -3

Hence the integers -3,-4,-5 will make the  inequality 4p-7 \(\geq\) 9p+8 true

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Answer:A unique line is defined by any two distinct (not identical) points. You have two distinct, which means you have a line. To find the equation for the line, we start with the slope-intercept equation for a line. This is only a template for a generic line, so we will have to find the specific values of m (slope) and b (y-intercept) that define your line.

The template: y = mx + b

b is the y-intercept, which, if you look at (0,–2), you will see is –2; it is where the line crosses the y-axis. Fill that value of b into our template to get:

y = mx – 2

Now, we only need the value of m, which is the slope. If you have two points on a line, you can calculate the slope of that line. The slope is the change (difference) of y over the change in x (difference) of x for two given points on the line. It's a fraction or ratio though sometimes it can be reduced to an integer.

So, taking your two points, you calculate the slope, m, in the following way:

(x1,y1) = (0,–2)

(x2,y2) = (5,1)

        y2 – y1                   1 – (–2)                1 + 2               3

m = ________   =     ________    =     ________  =    ____

       x2 – x1                      5 — 0            

Step-by-step explanation:

Answer:

Wassup Obito

Step-by-step explanation:

I would have done it if you had asked for only 1 question but you have asked someone to do more than 10 q

You must be mad to think someone will do the entire thing

Mark me brainliest

Step-by-step explanation:

\(13 \frac{1}{8} \)

is the required answer

Answer:

a.1×9/1=9

b.3×5/1=15 i think this would be the answer

Answer:

a) 9

b) 15

you

can

download

photo

math

to help you with your math :)

Hope this helps you......

Answer: 0.00923521

Step-by-step explanation:

Given : The probability U.S households play video or computer games=69%=0.69

here, the probability of each U.S household play video or computer games is fixed as 0.69

Then, the probability of each U.S household not play video or computer games= 1-0.69=0.31

For independent events the probability of their intersection is product of probability of each event.

Now, the probability that none play video/computer games will be :-

\((0.31)^4=0.00923521\)

Answer: 0

Explanation: Divide 2 and 11, and you get 2/11 and multiply that with 55 you get 10 and 10 - 10 equals 0! ^^

Answer:

Its 25

Step-by-step explanation:

It is 25 as 4x5 is 20 so u have the denominator so u do the same for 5 , 5x5 is 25 so 4/5=20/25

Answer:

\(y=\left|\dfrac{1}{2}x-\dfrac{5}{2}\right|+3\)

Step-by-step explanation:

Given equation:

\(y=\left|\dfrac{1}{2}x-2\right|+3\)                            

Translation

\(f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}\)

When translating a graph to the right, subtract the number of units from the x variable.

Translating the given graph one unit to the right:

\(f(x-1) \implies y=\left|\dfrac{1}{2}(x-1)-2\right|+3\)

Simplifying:

\(\implies y=\left|\dfrac{1}{2}(x-1)-2\right|+3\)

\(\implies y=\left|\dfrac{1}{2}x-\dfrac{1}{2}-2\right|+3\)

\(\implies y=\left|\dfrac{1}{2}x-\dfrac{5}{2}\right|+3\)

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Answer:

\(y = 3(x-2)^2-10 \)

Step-by-step explanation:

We would like to write the given equation of parabola in vertex form .

\(\longrightarrow y = 3x^2-12x + 2\)

As we know that the vertex form of parabola is ,

\(\longrightarrow y = a(x-h)^2+k \)

where ,

Method :- By using the formula :-

For a equation in Standard form ( y = ax² + bx + c ) , we can find h and k , by using ;

\(\longrightarrow \boxed{h =\dfrac{-b}{2a}}\\ \)

\(\longrightarrow \boxed{ k =\dfrac{-D}{4a} =\dfrac{-(b^2-4ac)}{4a}}\)

The given equation is , y = 3x² -12x + 2 , on comparing to Standard form , we have ;

\(\longrightarrow a = 3 \quad , \quad b = (-12)\quad,\quad c = 2 \)

On substituting the respective values, we have;

\(\longrightarrow h =\dfrac{-b}{2a}\\ \)

\(\longrightarrow h =\dfrac{-(12)}{2(3)}\\ \)

\(\longrightarrow h =\dfrac{12}{6}\\ \)

\(\longrightarrow h = 2 \)

And ,

\(\longrightarrow k =\dfrac{-D}{4a}\\ \)

\(\longrightarrow k =\dfrac{-(b^2-4ac)}{4a}\\ \)

\(\longrightarrow k =\dfrac{-\{(-12)^2-4(3)(2)\}}{4(3)}\\\)

\(\longrightarrow k =\dfrac{-(144-24)}{12}\\\)

\(\longrightarrow k =\dfrac{-120}{12}\\ \)

\(\longrightarrow k = -10\)

Now finally substitute the values of h and k in the vertex form ,

\(\longrightarrow y = a(x-h)^2+k \\\)

\(\longrightarrow \underline{\underline{y = 3(x-2)^2-10}}\)

And we are done !

\(\displaystyle \int\sec x\:dx = \ln |\sec x + \tan x| + C\)

Step-by-step explanation:

\(\displaystyle \int\sec x\:dx=\int\sec x\left(\frac{\sec x+ \tan x}{\sec x + \tan x}\right)dx\)

\(\displaystyle = \int \left(\dfrac{\sec x\tan x + \sec^2x}{\sec x + \tan x} \right)dx\)

Let \(u = \sec x + \tan x\)

\(\:\:\:\:\:\:du = (\sec x\tan x + \sec^2x)dx\)

where

\(d(\sec x) = \sec x\tan x\:dx\)

\(d(\tan x) = \sec^2x\:dx\)

\(\displaystyle \Rightarrow \int \left(\frac{\sec x\tan x + \sec^2x}{\sec x + \tan x}\right)\:dx = \int \dfrac{du}{u}\)

\(= \ln |u| + C = \ln |\sec x + \tan x| + C\)

The ratio of the volume of water in Jug B to the volume of water in Jug C is 35:18.

Let's assume the volume of water in Jug B is x.

According to the given information, Jug A contains 6/7 as much water as Jug B. Therefore, the volume of water in Jug A can be calculated as (6/7) * x.

Similarly, Jug C contains 3/5 as much water as Jug A. Hence, the volume of water in Jug C can be expressed as (3/5) * [(6/7) * x].

To find the ratio of the volume of water in Jug B to the volume of water in Jug C, we divide the volume of water in Jug B by the volume of water in Jug C:

(x) / [(3/5) * (6/7) * x]

Simplifying the expression, we get:

x / (18/35 * x)

The x values cancel out, leaving us with:

1 / (18/35)

To simplify further, we multiply the numerator and denominator by the reciprocal of the denominator:

1 * (35/18)

The final ratio is:

35/18

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Answer:

I think X = 35 but I'm not sure if it's not right let me know

Answer:

420 square ft

Step-by-step explanation:

A = 70 x 12 x 1/2

A = 840 x 1/2

A = 420

Hope that helps!

Answer: ⇒V=π×32×53=45×π3≈47.124 cubic cm

Hope this helps!!