Find the volume of the solid. Use 3.14 for π.​

The rocket will attain a height of 196 feet in 3.5 seconds. Then the correct option is B.

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

A rocket is launched into the air.

The projectile motion of the rocket can be modeled using

h(t) = 112t – 16t²

where t is the time since the launch in seconds and h(t) is the height of the rocket at time t.

The time required for the rocket to be 196 feet in the air. Then we have

         112t – 16t² = 196

16t² – 112t + 196 = 0

  4t² – 28t + 49 = 0

On factorization we have

4t² – 28t + 49 = 0

(2t)² – 28t + 7² = 0

          (2t – 7)² = 0

             2t – 7 = 0

                      t = 3.5

Thus, the rocket will attain a height of 196 feet in 3.5 seconds.

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Answer:

B. after 3.5 seconds

Step-by-step explanation:

i took the test

also:

196 = 112t - 16t²

-16t² + 112t - 196 = 0

4t² - 28t + 49 = 0

(2t - 7)² = 0

2t - 7 = 0

t = 7/2 = 3.5 sec

Answer:

Yes, (5,5) is a solution of y=x

Step-by-step explanation:

A point is given as a coordinate pair, (x,y). The first number is x and the second number is y. A solution is a pair of numbers that will make the equation true.

To check if the point is a solution, fill in the first number in place of x in the equation. Then fill in the second number for the y.

Here we have the equation:

y = x

Substituting (filling in) we get:

5 = 5 a true statement. So (5,5) IS a solution.

Alternatively, you could graph the equation and verify that the point is on the graph. see image.

Answer:

black screen

Step-by-step explanation:

this is a black screen

Answer:

56 im pretty sure not my level but if i did it right it should be but if it is wrong im sorry

Step-by-step explanation:

Answer:

49.65-50.35

Step-by-step explanation:

0.7% of 50 is 0.35. We can find the range by first subtracting that from 50 which is 49.65, then adding it to get 50.35.

1. answer choice 3

2. answer choice 2

3. answer choice 1

4. answer choice 4

5. answer choice 5

Answer:

1. the answer choice 3

2. the answer choice 2

3. the answer choice 1

4. the answer choice 4

5. the answer choice 5

Step-by-step explanation:

Teniendo en cuenta la Ley Universal de la Gravitación, la distancia a la que se encuentran dos masas de 60 kg y 80 kg, si la fuerza de atracción entre ellas es de 3×10⁻³¹ N, es 1.033 ×10¹² m.

La Ley Universal de la Gravitación establece que los cuerpos, por el simple hecho de tener masa, experimentan una fuerza de atracción hacia otros cuerpos con masa, llamada fuerza gravitacional.

Esta ley dice que la fuerza gravitacional entre dos cuerpos es directamente proporcional al producto de sus masas e inversamente proporcional al cuadrado de la distancia que los separa.

Matemáticamente se expresa de la siguiente manera:

[tex]F=G\frac{Mm}{d^{2} }[/tex]

donde:

En este caso, sabes:

Reemplazando en la Ley Universal de la Gravitación:

[tex]3x10^{-31}N =6,67x10^{-11}\frac{Nm^{2} }{kg^{2} } \frac{60 kg x80 kg}{d^{2} }[/tex]

Resolviendo:
[tex]\frac{3x10^{-31}N}{6,67x10^{-11}\frac{Nm^{2} }{kg^{2} }} = \frac{60 kg x80 kg}{d^{2} }[/tex]

[tex]4,4977x10^{-21} \frac{kg^{2} }{m^{2} } = \frac{4800 kg^{2} }{d^{2} }[/tex]

[tex]d^{2} x4,4977x10^{-21} \frac{kg^{2} }{m^{2} } =4800 kg^{2}[/tex]

[tex]d^{2} = \frac{4800 kg^{2} }{4,4977x10^{-21} \frac{kg^{2} }{m^{2} } }[/tex]

[tex]d = \sqrt{\frac{4800 kg^{2} }{4,4977x10^{-21} \frac{kg^{2} }{m^{2} } }}[/tex]

[tex]d = \sqrt{1,0672x10^{24} m^{2} }[/tex]

d= 1.033 ×10¹² m

Finalmente, la distancia a la que se encuentran dos masas de 60 kg y 80 kg, si la fuerza de atracción entre ellas es de 3×10⁻³¹ N, es 1.033 ×10¹² m.

Aprende más acerca de la Ley Universal de la Gravitación:

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Answer:

it costs  $26 to check a bag that's under the weight limit

Step-by-step explanation:

she had to pay an additional $6 fee for  each of the 3 bags.($18 in total)

x= each bag

3x +18 = 102

3x=84

x=26

Answer:It costs $28 for a bag that is under the weight limit.

Step-by-step explanation:

3(x+6) = 102

3x+ 18 = 1023x+18=102

3x = 843x=84

x = 28x=28

Answer:

11 cm

Step-by-step explanation:

1m = 100cm

By examining the graph carefully, we can see that the record in 1985 is 2.4 m. In 1970 it was slightly under 2.3 m. For it to be 15cm it would have to be 2.25m. For it to be 9 cm it would the record would have been above 2.3m.

Answer:

if it takes yards and turns it into feet then it just multiplies it by 3

Step-by-step explanation:

Answer:

45 divide by 19 =2 r 7 thanks

Answer: Option (3)

Step-by-step explanation:

You can get 2 pairs of corresponding angles from the parallel segments, meaning that they are similar by angle-angle.

Answer:

Your answer would be:

57.75 or 57 3/4

(I will show how many of each length of twine that is on the graph)

Point 2 1/4:

2

Point 2 3/4:

4

Point 3:

1

Point 3 1/2:

2

Point 3 3/4:

3

Point 4:

1

Point 4 1/4:

4

We can show how much length in total Stevie used with the following equation:

(2 1/4 x 2) + (2 3/4 x 4) + ( 3 x 1 ) + ( 3 1/2 x 2 ) + (3 3/4 x 3 ) + (4 x 1 ) + (4 1/4 x 4)

Each smaller equation in paraphrases shows how much of each length of twine at each point with x's on the number line. Altogether it would equal 57.75 or 57 3/4.

Step-by-step explanation:

Have a great rest of your day

#TheWizzer

Answer:

[tex]\displaystyle 12 + w[/tex]

Explanation:

Just combine like-terms to arrive at your answer:

[tex]\displaystyle \boxed{12 + w} \Rightarrow [w + 9] + 3[/tex]

I am joyous to assist you at any time.

Unit conversion is a way of converting some common units into another. Kari cannot afford to see Genoa, because it would put her $84. 48 over budget.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

The cost of the Kari visiting the Vatican, Rome, Naples, Venice, and Milan are €68.77, €95.41, €71.06, €113.38, and €49.69. Therefore, the total cost of visiting these places would be,

Total Cost = €68.77 + €95.41 + €71.06 + €113.38 + €49.69

                  = €398.31

Now, as it is given that 1$ is equal to 0.6859€, therefore, if we convert the amount that is already spent by Kari to visit these places in dollars, we will get,

[tex]\rm Total\ cost = \dfrac{398.31 }{0.6859} = \$\ 580.72[/tex]

The amount that is left with Kari,

[tex]\rm \text{Amount left with Kari} = (Budget\ of\ Kari)-(Total\ cost)[/tex]

                                    [tex]= \$585-\$580.72\\\\=\$4.28[/tex]

Also, the cost of visiting Genoa is €60.85, now, if the cost is converted to dollars we will get the cost to visit Genoa,

[tex]\text{Cost of visiting Genoa} = \dfrac{60.85}{0.6859}=\$88.72[/tex]

Thus, the cost of visiting Genoa is $88.72, while the amount of budget that is left with Kari is $4.28, therefore, Kari cannot afford to see Genoa, because it would put her $84. 48 over budget.

Learn more about Units conversion:

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The wholesale price that the store paid for the Y-Box game is $150.

When the price of an item is marked up, it means that the price of the item was increased by a certain percentage. The good then becomes more expensive.

Wholesale price = selling price / ( 1 + percentage mark up)

$207 / (1+ 38)

$207 / (1.38) = $150

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Answer:

the next shipment of ornaments are 16

Answer:

1 m/s/s.

Step-by-step explanation:

Acccelaration = rate of change of speed

= (40 - 30) /10

= 10/10

= 1 m/s/s.

Answer:

Step-by-step explanation:

Angle formed by two chords is half the sum of the intersepted arcs:

Angle formed outside by two tangents is half the difference of intercepted arcs:

Find the arc measure:

Angle formed outside by two secants is half the difference of intercepted arcs:

Answer:

y + 6 = - [tex]\frac{1}{4}[/tex] (x + 10)

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 4x ← is in slope- intercept form

with slope m = 4

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{4}[/tex]

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = - [tex]\frac{1}{4}[/tex] and (a, b ) = (- 10, - 6 ) , then

y - (- 6) = - [tex]\frac{1}{4}[/tex] (x - (- 10) ) , that is

y + 6 = - [tex]\frac{1}{4}[/tex] (x + 10)

Hey there!

The Best Ways to Borrow Money

Banks.

Credit Unions.

Peer-to-Peer Lending (P2P)

401(k) Plans.

Credit Cards.

Margin Accounts.

Public Agencies.

Financing Companies..

Answer:

There are many options like Banks, Credit Unions, Peer-to-Peer Lending (P2P), 401(k) Plans, Credit Cards, Margin Accounts, and Public Agencies.

The function that represent this exponential decay is given as y = A(0.85)ˣ

An exponential function is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

Given that A is the initial value, there is a decay of 15%, hence:

b = 100% - 15% = 0.85

The function that represent this exponential decay is given as y = A(0.85)ˣ

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Using the z-distribution, as we are working with a proportion, the 95% confidence interval for the proportion of consumers who would buy the product at it's proposed price is (0.3016, 0.3830).

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

179 out of 523 members indicated they would buy the new product at the proposed price, hence:

[tex]\pi = \frac{179}{523} = 0.3423[/tex]

Then the bounds of the interval are found as follows:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3423 - 1.96\sqrt{\frac{0.3423(0.6577)}{523}} = 0.3016[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3423 + 1.96\sqrt{\frac{0.3423(0.6577)}{523}} = 0.3830[/tex]

More can be learned about the z-distribution at https://brainly.com/question/25890103

Answer:

80,000

Step-by-step explanation:

The population doubles every 260 hours. 260 goes into 780 three times.

10,000x2=20,000

20,000x2=40,000

40,000x2=80,000

Answer:

Answer:

0.078125.

Step-by-step explanation:

This is a geometric sequence with first term a1 = 20 and common ratio r = 10/20 = 5/10 = 0.5.

nth term = a1 r^(n -1) so here:

9th term = 20(0.5)^(9-1)

= 20(0.5)^8

= 0.078125.

Answer:

(a) x<=2

(b) x>-2

(c) x>=10

(d) x<-20

Answer: 33

To maximize the length of the third side, which I'll call x, it needs to be the longest side.

So by the triangle inequality theorem, 19+15>x, meaning the maximum whole number value of x is 33.

Answer:

C

Step-by-step explanation:

[tex].45s = 126[/tex]

[tex]s = 280[/tex]