What is the volume of metal in the hex nut, to the nearest tenth? use 3.14 for π. 21.1 cm3 23.6 cm3 27.6 cm3 31.6 cm3

Answer: 16

Step-by-step explanation:

The total time it takes the soccer ball to hit the ground, which bounces up at a velocity of 20 feet per second, is 1.535 seconds.

Vertical motion model is the model which is used to find the height of the object which is thrown vertically upward. It can be given as,

[tex]h(t)=-16t^2+v+t[/tex]

Here, t is time and v is velocity.

Soccer player jumps up and heads the ball while it is 7 feet above It bounces up at a velocity of 20 feet ground. per second.  Thus, the vertical motion model for this situation is,

[tex]h(t)=-16t^2+20t+7[/tex]

When the ball hit the ground, the value of height (h) become zero. Thus,

[tex]0=-16t^2+20t+7\\16t^2-20t-7=0[/tex]

On solving this quadratic, the value of x we get,

[tex]x=1.535,x=-0.285[/tex]

Taking positive side x=1.535 second. Thus, the total time it take the soccer ball to hit the ground which bounces up at a velocity of 20 feet per second, is 1.535 seconds.

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Answer:

sphere have a same diameter of cone so

the sphere have a diameter of 40 then the diameter is 40÷2=20

that's mean than the radios is 20

Answer:

number of passengers is an independent variable, average speed depends on the number of passengers so its a dependent variable, liters of fuel used depends on average speed so its a dependent variable

Step-by-step explanation:

Answer:

[tex]360\ cm^2[/tex]

Step-by-step explanation:

Step 1:  Determine the area of the bottom rectangle

[tex]A = l * w[/tex]

[tex]A = 10\ cm * 12\ cm[/tex]

[tex]A = 120\ cm^2[/tex]

Step 2:  Determine the area of the back rectangle

[tex]A = l * w[/tex]

[tex]A = 10\ cm * 5\ cm[/tex]

[tex]A = 50\ cm^2[/tex]

Step 3:  Determine the area of the top rectangle

[tex]A = l * w[/tex]

[tex]A = 10\ cm * 13\ cm[/tex]

[tex]A = 130\ cm^2[/tex]

Step 4:  Determine the area of the triangle

[tex]A = \frac{h*b}{2}[/tex]

[tex]A = \frac{5\ cm * 12\ cm}{2}[/tex]

[tex]A = \frac{60\ cm^2}{2}[/tex]

[tex]A = 30\ cm^2[/tex]

Step 5:  Determine the surface area

[tex]120\ cm^2 + 50\ cm^2 + 130\ cm^2 + 2(30\ cm^2)[/tex]

[tex]360\ cm^2[/tex]

Answer: [tex]360\ cm^2[/tex]

Answer:

2.25 or 2 1/4

Step-by-step explanation:

20 1/4 divided by 9 is 2 1/4 :)

Answer:

2.25 lbs each

Step-by-step explanation:

you do 20.25 divided by 9 which gives you an answer of 2.25 lbs or 2 1/4 lbs.

hope this helped

The maximum height of the egg with an equation of h(t) = -16t² + 96t - 120.35 is 23.65 feet at 3 seconds

An equation is an expression used to show the relationship between two or more numbers and variables.

Let us assume the height of the egg (h) at time t is given by:

h(t) = -16t² + 96t - 120.35

The maximum height is at h' = 0, hence:

h' = -32t + 96 = 0

-32t + 96 = 0

t = 3 sec

h(3) = -16(3)² + 96(3) - 120.35 = 23.65

The maximum height of the egg with an equation of h(t) = -16t² + 96t - 120.35 is 23.65 feet at 3 seconds

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Answer:

See below

Step-by-step explanation:

Decreasing 10% means the car retains 90 % of its value

Value of car = 5000 ( .90)^x      where x = number of years

Answer:

Computer Science is more harder so I would go with Precalculus.

25 minutes long

Hope this helps!

Ok so we know that the movie starts at 7:15 PM. The duration of the movie is 1.5 hours long. She begins eating her snack after the movie which, sense 7:15 plus 1.5 hours is 8:45, is 8:45. She finishes her snack at 9:10. What is the difference between 9:10 and 8:45?

For me, the easiest thing to do we would be to add a half hour (30 minutes) to the 8:45. This gets 9:15. Since 9:15 is past 9:10, I subtract the difference to get 5 minutes. I then take the 30 minutes I added to the 8:45 and subtract the 5 minutes that it went over to get 25 minutes. This is the easiest way to get the answer in my opinion. Sorry if this could not be of help to you!

Diagram to better understand maybe? (I did the best I could with this lol)

                                              x (the 25 minutes you found once you solved it)

                                                                                      ^

7:15 PM ----------------------------- 1.5 hours later----------------------------------- 9:10 PM

^                                                          ^                                                            ^

Time the movie started          Movie length             When she finished eating

Using the z-distribution, it is found that there is enough evidence to conclude that taking a low-dose aspirin each day reduces the chance of developing cancer.

At the null hypotheses, it is tested if there is no difference among the proportions, that is:

[tex]H_0: p_1 - p_2 = 0[/tex]

At the alternative hypotheses, it is tested if the aspirir proportion is lower, that is:

[tex]H_0: p_1 - p_2 < 0[/tex]

For each sample, they are given by:

[tex]p_1 = \frac{15}{500} = 0.03, s_1 = \sqrt{\frac{0.03(0.97)}{500}} = 0.0076[/tex]

[tex]p_2 = \frac{26}{500} = 0.052, s_2 = \sqrt{\frac{0.052(0.948)}{500}} = 0.0099[/tex]

Hence, for the distribution of differences, they are given by:

[tex]\overline{p} = p_1 - p_2 = 0.03 - 0.052 = -0.022[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0076^2 + 0.0099^2} = 0.0125[/tex]

It is given by:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

In which p = 0 is the value tested at the null hypothesis.

Hence:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

[tex]z = \frac{-0.022 - 0}{0.0125}[/tex]

z = -1.76.

Considering a left-tailed test, as we are testing if the proportion is less than a value, the critical value is [tex]z^{\ast} = -1.645[/tex]

Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that taking a low-dose aspirin each day reduces the chance of developing cancer.

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Answer:

Step-by-step explanation:

12

Answer:

a) 12

b) 11

c) 8

Step-by-step explanation:

Using the Pythagorean Theorem: [tex]a^2 + b^2 = c^2[/tex]

a is the shorter side,

b is the longer side,

c is the hypotenuse.

a) [tex]a^2 + b^2 = c^2\\5^2+b^2=13^2\\25+b^2=169^2\\b^2=169-25\\b^2=144\\b=\sqrt{144}=12\\ b=12[/tex]

b)[tex]a^2 + b^2 = c^2\\a^2+60^2=61^2\\a^2+3600=3721\\a^2=3721-3600\\a^2=121\\a=\sqrt{121}=11\\ a=11[/tex]

c)[tex]a^2 + b^2 = c^2\\a^2+15^2=17^2\\a^2+225=289\\a^2=289-225\\a^2=64\\a=\sqrt{64}=11\\ a=8[/tex]

The computation shows that the value of 0.47 when expressed as a fraction in its simplest form is 47/100.

Multiply by 100/100 and keep in the form without division.

A. (0.47)

0.47 x 100/100

= 47/100

B. (-0.47)

= -0.47 x 100/100

= -47/100

C. (0.--47)

A minus sign multiplied by another minus sign makes a positive sign

= 0.--47 ⇒ 0.47

= 47/100

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Answer:

4/2

Step-by-step explanation:

Find number closest to 1.5

[tex]\frac{4}{2} = 2\\1/2=0.5\\6/2 = 3\\\\2/4 = 0.5[/tex]

4/2 is closest to 1.5

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Answer: 76%

Step-by-step explanation: 38/50 × 100/1

Answer:

697

Step-by-step explanation:

A product is an answer to a multiplication question

Answer:

[tex]\frac{10}{11}[/tex]

Step-by-step explanation:

Note : the total number of students is 55

___________________________

[tex]p\left( A\cup B\right) =p\left( A\right) +p\left( B\right) -p\left( A\cap B\right)[/tex]

p(A) = 40/55

p(B) = 15/55

[tex]p\left( A\cap B\right) =\frac{5}{55}[/tex]

Therefore,

[tex]p\left( A\cup B\right) =p\left( A\right) +p\left( B\right) -p\left( A\cap B\right)[/tex]

               [tex]=\frac{40}{55} +\frac{15}{55} -\frac{5}{55}[/tex]

               [tex]=\frac{50}{55}[/tex]

               [tex]=\frac{10}{11}[/tex]

Answer:

2,889,124,530

Answer:  A. Register

Step-by-step explanation:

Each time you write a check or deposit money in your account, its recorded  in your check register.

Point A is located at (-2, -6), so since it mentions you must translate 4 units up, you know that the y coordinate will move 4 units up. Hence, -6 + 4 = -2, so the final coordinates of the question is (-2, -2).

Answer:

(-2,-2)

Step-by-step explanation:

Y-axes gose up and down

x-axes gose side to side

(x,y) is how its written. So -6 +4= -2

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Answer:

π 36 m^2

Step-by-step explanation:

C = 2π R = 12π m --> R = 6m

A = π R^2 = π 36 m^2

Answer:

Step-by-step explanation:

In the question we are given that circumference of circle is 12π m . And we are asked to find the area of circle in term of π .

Solution : -

For finding area of circle we need to find the radius of circle . In the question circumference of circle is given . So we can find radius of circle using it . We know that ,

[tex] \qquad \quad \pink{\underline{\pink{\boxed{\frak{Circumference_ {(Circle) }= 2\pi r}}}}}[/tex]

Where ,

But as in the question , it is given that we have to find the area in term of π. So we aren't using π as 3.14 or 22/7 .

Now, Radius :

[tex] \longrightarrow \qquad \: 12 \cancel{\pi }= 2 \cancel{\pi} r[/tex]

Step 1 : Cancelling π and we get :

[tex] \longrightarrow \qquad \:12 = 2r[/tex]

Step 2 : Dividing both sides by 2 :

[tex] \longrightarrow \qquad \: \cancel{\dfrac{12}{2} } = \dfrac{ \cancel{2}r}{ \cancel2} [/tex]

On further calculations we get :

[tex] \longrightarrow \qquad \: \boxed{ \bf{r = 6 \: m}}[/tex]

Finding Area :

As we have find the radius of circle above so we can find its area easily . We know that ,

[tex] \qquad \: \qquad \pink{\underline{\pink{ \boxed{{\frak{ Area_{(Circle)} = \: \pi r {}^{2} }}}}}}[/tex]

Now substituting value of radius :

[tex] \longmapsto \: \qquad \quad\pi (6) {}^{2} [/tex]

[tex] \longmapsto \: \qquad \quad \pi \times \: 6 \times 6[/tex]

[tex] \longmapsto \: \qquad \quad \pi \times 36[/tex]

We get :

[tex] \longmapsto \: \qquad \quad \blue{\underline{\blue{\boxed{\frak{ \bf{36 \pi \: m {}^{2} }}}}}}[/tex]

The expression that represents the volume of the cone, in cubic units is ¹/₃πr²h.

The volume of a cone is given by the following formula presented below;

V = ¹/₃πr²h

where;

The volume of a cone can be determined by multiplying the square of the radius and height of the cone.

Thus, the expression that represents the volume of the cone, in cubic units is ¹/₃πr²h.

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Answer:

[tex]\frac{2}{3}[/tex] π x³

Step-by-step explanation:

Answer:

Q’(–5, –3)

Step-by-step explanation:

This is because the pints of q are this.