A soda company made 1,040,000 bottles of soda. The manufacturer tested 200 bottles and found that 32 have cracks. About how many of the bottles that were manufactured are likely to have cracks?
WHich answer is correct
A. 32
B. 163
C. 166,368
D. 166,400

Answer:

Volume of cone = 1/3 Area of base × height

= 1/3× πr² × h

= 1/3×3.14×8²×9

= 602.88 m³

Answer:

[tex] \: [/tex]

Step-by-step explanation:

In the question, it is given that a cone has a radius of 8 meters and a height of 9 meters and we have to find the volume of the cone.

[tex] \: [/tex]

To Find the volume of the cone, we must know this formula :

[tex] \\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { Volume_{(cone) }= \dfrac{1}{3} \: \pi {r}^{2}h }}}}}}} \\ \\[/tex]

Where,

Now, we will substitute the values in the formula :

[tex] \\ {\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 3.14 \times {(8)}^{2} \times 9 }}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 3.14 \times 64 \times 9 }}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 3.14 \times 576 }}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 1808 .64 }}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1808 .64}{3} }}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\frak { Volume_{(cone) }= 602.88 }}}}}}} \\ \\[/tex]

Therefore,

Answer:

Formula for area of a circle is [tex]\pi[/tex][tex]r^{2}[/tex]

10 squared is 100cm. 100cm*3.14 equals 314cm.

The area of the circle is [tex]314cm^{2}[/tex]

Answer:

The answer is Sue or B

Step-by-step explanation:

Sue Paid : 0.12 per ounce when divided

Sarah Paid 0.13 per ounce when divided

Answer:

C, Sarah paid less

Step-by-step explanation:

3.84/32 = 0.12

5.20/40 = 0.13

Sarah paid less per ounce.

Answer:

A, C

Step-by-step explanation:

Answer:

C. AB is longer than AC

Step-by-step explanation:

Using the distance formula, find the lengths of both AC and AB.

d=√((x_2-x_1)²+(y_2-y_1)²)

Answer:

I'd times the first equation by 3 and the second equation by 2. Giving:

6x + 15y = 21

6x + 8y = 12

then I'd subtract the second from the first

6x-6x + 15y-8y = 21-12

7y = 9

y = 7/9

then sub y into one of the equations and solve for x.

Answer:

Step-by-step explanation:

Solving simultanius equation by elimination

2x + 5y = 7 -------------(I)

3x + 4y = 6 ---------------(II)

To eliminate x, multiply equation (I) by (-3) and equation (II) by 2. Then add the two equations. Now, 'x' will be eliminated and we can find the value of 'y'.

(I) *(-3)             -6x  - 15y = -21

(II)*2                 6x +  8y  = 12    {Now add}              

                               - 7y  = -9

                                   y = -9/-7

y = 9/7        

Answer: 24.7 square cm

Step-by-step explanation:

The equation for the subtraction of length of AB is -3-(-14)

The distance between two points is the measure of the distance covered by an object.

From the given diagram, we are to find the distance between the point A and B. Since the x-coordinate are equal, hence:

AB = y2 - y1
AB= -3 - (-14)

AB = 11 units

Hence the equation for the subtraction of length of AB is -3-(-14)

Learn more on distance here: https://brainly.com/question/24775607

Amber did wrong at the second and third step : She completely simplify both sides but she has to minus 3.5 twice on the left side in order to do so. But instead, she just make them gone.

Work :
[tex]2x-3.5\geq 10.5 - > 2x\geq 14 - > x\geq 7[/tex]

Answer:

Air that is moving primarily in a horizontal direction.

Answer:

Wind is the movement of air horizontally.

Answer:

C. 12 feet

Step-by-step explanation:

If a rectangle measures 1 foot by 5 feet, that means that one side is 1 foot and one side is 5 feet. Since a rectangle has two sets of parallel sides, the other sides of the rectangle will also measure 1 foot by 5 feet.

Adding all of the side lengths will give us the perimeter.

1 + 5 + 1 + 5 = 12

hope this helps :)

Answer:

139

Step-by-step explanation:

14+14+28+33+33+17 = 139

Answer: 150 feet

Step-by-step explanation:

bottom blank = top sides added

bottom blank = 14 + 33 = 47

missing right piece is left side and right side subtracted

missing right piece = 28 - 17 = 11

add all sides

28 + 14 + 11 + 33 + 17 +47 = 150

150 feet = perimeter

Answer:

7140

Step-by-step explanation:

Hey there!

This is the correct answer because First, you need to calculate what is 40% of 11900 which is 4760, and then subtract it from 11900.

Finally you would end up with 7140

Answer:

[tex]( {x}^{2} - 5)( {x}^{2} + 9) = 0 \\ {x}^{2} - 5 = 0 \: \: \: \: \: \: \: \: {x}^{2} + 9 = 0 \\ {x}^{2} = 5 \: \: \: \: \: \: \: \: {x}^{2} = - 9 \\ x = \sqrt{5} \: \: \: \: \: \: \: \: x = \sqrt{ - 9} [/tex]

Answer:

1000 my friend

Step-by-step explanation:

Answer:

10³ = 1000

Step-by-step explanation:

hope this helps

Answer:

6x=46.50

Step-by-step explanation:

The system of equations that Sam can use is given by:

A 13b + 4t =327.50, 6b + 2t = 142.96

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

The first order was for 13 bushes and 4 trees, and totaled $327.50, hence:

13b + 4t = 327.50.

The second order was for 6 bushes and 2 trees, and totaled $142.96, hence:

6b + 2t = 142.96.

Which means that option A is correct.

More can be learned about a system of equations at https://brainly.com/question/24342899

Answer:

6a + 13

Step-by-step explanation:

2a + 4a = 6a

8 + 5 = 13

6a + 13

Answer: 6a+13

Step-by-step explanation:

2a+8+4a+5

2a+13+4a

now combine like terms:

2a+13+4a=

6a+13

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

the sum of all angles around a single point on one side of a line is always 180° (a line can always be seen as the diameter of an imaginary circle, so each side corresponds to 180°).

the angles on one side of a line crossed by a second line are mirrored but otherwise exactly the same as on the other side of the line.

a parallel line crossing a third line must have the exact same angles with this third line as the other parallel line. otherwise they would not be parallel. you can say a parallel line mimics the exact same behavior as the other line it is parallel to.

so,

c = 180 - 35 = 145°

a = c = 145°

b = 35°

d = 180 - 110 = 70°

e = d = 70°

f = 110°

g = 180 - 125 = 55°

i = g = 55°

h = 125°

j = 180 - 130 = 50°

m = j = 50°

o = k = d = e = 70° (as this line crosses 2 levels)

l = f = 110°

n = 180 - m - o = 180 - 50 - 70 = 60°

s = 180 - 23 = 157°

p = 23°

r = 68°

q = 180 - p - r = 180 - 23 - 68 = 89°

t = 180 - 68 = 112°

v = w = z = 132° (as this line crosses 2 levels)

A = 180 - 132 = 48°

y = x = u = A = 48°

B = 180 - 39 - 47 = 94°

D = B = 94°

C = 39 + 47 = 86°

E = 47°

F = B + 39 = 94 + 39 = 133°

The measures of center of the students score are:

Mean = 22

Median = 21

Mode = 21

Measures of center of a data distribution are the mean, median, and mode.

Given the data, 21, 25, 17, 23, 25, 21, 27, 21, 18:

Mean = sum of all data values / number of data values = 198/9 = 22

Median = the middle value in the ordered data set = 21

Mode = the most appeared data value = 21 (appeared 3 times)

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Answer:

336

Step-by-step explanation:

V=whl=8·7·6=336

Answer:

600yan lang po thank you

Answer:

$574

Step-by-step explanation:

[tex]\begin{aligned}\text { week } 1=w_{1} &=300 \\w_{2} &=300+10=310 \\w_{3} &=310+10=320=300+2 \times(10)\end{aligned}[/tex]

It’s obvious here that we add 10 each time to get the next week’s payment so we Are dealing an arithmetic sequence where its first term is 300 and its

Common difference is 10

Then In the twentieth week the payment will be :

[tex]\begin{aligned}W_{20} &=w_{1}+(20-1) \times(10) \\&=300+19 \times(10) \\&=490\end{aligned}[/tex]

Now we apply the formula for the sum of Consecutives terms of an arithmetic sequence :

[tex]\begin{aligned}S_{1} &=20 \times\left(\frac{w_{1}+w_{20}}{2}\right) \\&=20 \times\left(\frac{300+490}{2}\right) \\&=7900\end{aligned}[/tex]

Now let move on to Job B:

[tex]\\\\\begin{aligned}\text { month1 }=& m_{1}=1200 \\m_{2} &=1200+1200 \times \frac{10}{100}=1200 \times(1,1)=1320 \\m_{3} &=m_{2} \times(1,1)=\left[m_{1} \times(1,1)\right] \times(1,1)=m_{1} \times(1,1)^{2} \\m_{4} &=m_{1} \times(1,1)^{3} \\m_{5} &=m_{1} \times(1,1)^{4}\end{aligned}[/tex]

It’s obvious here that we multiply by (1.1) each time to get the next month’s payment so we Are dealing a geometric sequence where its first term is 1200 and its Common ratio is 1.1

Now we apply the formula for the sum of Consecutives terms of an geometric sequence :

[tex]\begin{array}{l}S_{2}=m_{1} \times\left(\frac{1-1,1^{5}}{1-1,1}\right) \\\approx 7326\end{array}[/tex]

Finally we can say confidently say that he would earn more :

7900 - 7326 = $574.

Answer:

[tex] {108in}^{2} [/tex]

Step-by-step explanation:

to get the surface area of a pyramid you must take half of the product of the perimeter times the slant length and THEN add the area of the base to the total.

In this problem, the perimeter is 24. Slant height is 6, and area of the base is 36

1/2(24*6)+36= 108

If this answer helped you, I would appreciate it if you gave me the brainliest :D

#1

#2

Convert to Vertex form of parabola y=a(x-h)²+k

We need calculator now

On comparing

As a is negative so parabola is opening downwards hence vertex is maximum

#3

When h(t) is 0 ball hits the ground

On solving we get t=-1/16 or 4

Take it positive

At 4s it reach the ground

#4

Domain is set of all t values (Time axis)

Here

ball starts from 0s and hits 0 again at 4s

So domain=[0,4]

Answer:

(a)  66 ft

(b)  66.015625 feet

(c)  4 s

(d)  0 ≤ t ≤ 4

Step-by-step explanation:

[tex]h(t)=-16t^2+63t+4[/tex]

Part (a)

[tex]t=2 \implies h(2)=-16(2)^2+63(2)+4=66[/tex]

Therefore, the height of the ball after 2 seconds is 66 feet

Part (b)

The maximum height will be the turning point of the parabola.

To find the turning point, differentiate the function:

[tex]\implies h'(t)=-32t+63[/tex]

Set it to zero:

[tex]\implies h'(t)=0[/tex]

[tex]\implies-32t+63=0[/tex]

Solve for t:

[tex]\implies 32t=63[/tex]

[tex]\implies t=\dfrac{63}{32}=1.96875[/tex]

Input found value of t into the function and solve for h:

[tex]\implies h(1.96875)=-16(1.96875)^2+63(1.96875)+4=66.015625[/tex]

Therefore, the maximum height of the ball is 66.015625 feet

Part (c)

The ball will hit the ground when h(t) = 0

[tex]\implies -16t^2+63t+4=0[/tex]

[tex]\implies 16t^2-63t-4=0[/tex]

[tex]\implies 16t^2+t-64t-4=0[/tex]

[tex]\implies t(16t+1)-4(16t+1)=0[/tex]

[tex]\implies (t-4)(16t+1)=0[/tex]

[tex]\implies t=4, t=-0.0625[/tex]

As time is positive, t = 4s only

Part (d)

As time is positive, and the ball hits the ground when t = 4 s, the domain should be restricted to:  0 ≤ t ≤ 4

Answer:

1. don't know what you want for the first one but..

2. x=9

3. y= 8

Step-by-step explanation:

x = 1.5y

ex y=2 x=2

Answer:

[tex]7\sqrt{2}[/tex] to the nearest tenth would be, 9.9

Step-by-step explanation:

Use distance formula:

(-3-4)^2 + (8-1)^2 all under square root.

49 + 49

[tex]\sqrt{98\\[/tex]

Which simplifies to 7[tex]\sqrt{2\\}[/tex]

Hope this helps,

Feel free to mark this brainliest! :)

the answer is 5.099 rounded too 5.1

Answer:

slope: -4 y intercept 7

Step-by-step explanation:

when using the formula y=mx+b

The slope is the fraction for m -4/1 or -4.

The y intercept is 7 and thats where the graoh starts.

Answer: slope: -4, y-intercept: 7

Step-by-step explanation: I just took the test :)

The pooled sample proportion requires two samples combined to estimate the single p instead of estimating p1 and p2 separately. Therefore, it's true.

It should be noted that the pooled sample of a proportion is the weighted average of the proportion from the two samples.

In this case, the combined pool sample is called the poooled sample proportion and it's used in expression of the standard error.

In conclusion, the correct option is true.

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