How many million bacteria were in the dish at 10 a.m.?​

Answer:

1.8 in.

Step-by-step explanation:

Hi there!

1) Determine the radius of the base

[tex]V=\frac{1}{3} \pi r^2h[/tex] where r is the radius of the base and h is the height of the cone

Plug in the known values (h=4.2, V=3.6)

[tex]3.6=\frac{1}{3} \pi r^2(4.2)[/tex]

Isolate r; divide both sides by 4.2

[tex]\frac{3.6}{4.2} =\frac{1}{3} \pi r^2\\\frac{6}{7} =\frac{1}{3} \pi r^2[/tex]

Multiply both sides by 3

[tex]\frac{6}{7}*3 =\pi r^2\\\frac{18}{7}=\pi r^2[/tex]

Divide both sides by π

[tex]\frac{18}{7\pi }=r^2[/tex]

Take the square root of both sides

[tex]\sqrt{\frac{18}{7\pi }} =r[/tex]

2) Determine the diameter

Now that we have the radius, to find the diameter, multiply r by 2:

[tex]d=\sqrt{\frac{18}{7\pi }}*2\\d=1.8[/tex]

Therefore, the diameter is 1.8 in. when rounded to the nearest tenth.

I hope this helps!

Answer:

1.8 in

Step-by-step explanation:

we know the equation for the volume of a cone is pi*r^2 h/3=3.6

pi r^2 *4.2=10.8

solve for r

r is about 0.9 so diameter is 1.8 in

Answer:

a) y=4x-12

b) 4x-y=12

Step-by-step explanation:

1) Solve for slope: y2-y1/x2-x1: (8-0)/(5-3)=4

2) plug into y=mx+b and solve for b, y=4x+b: 0=4(3)+b, b=-12

3) rearrange into ax+by=c form

Answer: The probability of you drawing a dime is 0.24

Step-by-step explanation:

5 quarters, 6 dimes, 2 nickels, 12 pennies

5+6+2+12= 25

6/25= 0.24 or 24%

Answer:

0.24

Step-by-step explanation:

P(dime) = 6/25 which is 0.24

Answer:

7x + 7

Step-by-step explanation:

Answer:

10/4

Step-by-step explanation:

Answer:

the diameter is 7

Answer:

Grapes are less expensive

Step-by-step explanation:

First, find how much money 1 pound of each fruit is:

Bananas: $1.47 / 3 = $0.49

Grapes: $1.18 / 2 = $0.59

Compare:

0.49 < 0.59

So grapes are less expensive

Answer:

6mm AR, a 6 mm wildcat version which shares 6.5 Grendel's casing, but sends a (usually) lighter projectile up to 1,000 yards (900 m). 6.5×42mm, also known as 6.5 MPC (Multi Purpose Cartridge), based on a necked up .223 Remington case.

Step-by-step explanation:

Answer: 19

Step-by-step explanation:

8+7+4

8+7=15

15+4=19

Answer:

the answer to the question is A

Answer:

Option 2,    3(5y-11) - 2

Hope this helps!

Answer:

Use the slope formula and slope-intercept form  y = mx + b to find the equation you get:

y = 8x

If thats not what your looking for then for every 1 (x) you get 8 (y)

Step-by-step explanation:

Answer:

I think you are happy with answer

They are equal. 2/5 is 4/10.

Answer:

17.205 miles

Step-by-step explanation:

Since these directions form a 90-degree angle, we can use the Pythagorean Theorem.

14^2 + 10^2 = c^2

196 + 100 = c^2

296 = c^2

It doesn't have a perfect square root, you can either say that it is [tex]\sqrt{296}[/tex] or approximately 17.205 miles.

Answer: The answer is 143.59

Step-by-step explanation:

I just subtracted 279.51 from 423.1! :)

Answer:

65m = 6500 Cm.

Step-by-step explanation:

Answer:

2 cm, 9 cm, 10 cm

Step-by-step explanation:

To know if a combination is a triangle all you have to do is see if the combinations add up to 180

(2)(9)(10)=180 therefore it is a triangle.

All the other angles do not add up to 180 so they can't be triangles!!

(4)(10)(3) =120

(5)(6)(11) =330

(4)(5)(7) =140

Answer:

ω= 0.01 rad/s

Step-by-step explanation:

The given data is question is ,

Firstly let's find the linear speed. Which is

=> v = Circumference/time

=> v = 2πr/180s

=> v = 3.14 × 100ft ./ 90

=> v = 3.48 ft/s ≈ 1m/s

=> v = r[tex]\omega[/tex]

=> [tex]\omega[/tex] = v/r

=> [tex]\omega[/tex] = 1/100

=> [tex]\omega[/tex] = 0.01 rad/s

Answer:

D if it helps

Step-by-step explanation:

Answer: I would say that it is 7

Step-by-step explanation:

30 : 24

b : 4       (divide both sides by 6)

5 : 4

Equivalent to 5 would be 7

Sorry if its wrong

Answer:

The p-value of the test is 0.0014 < 0.01, meaning that the data indicates that the true average unrestrained compressive strength is less than the design value of 3200.

Step-by-step explanation:

We want to determine whether the data indicate that the true average unrestrained compressive strength is less than the design value of 3200.

At the null hypothesis, we test if the mean is at the design value of 3200, so:

[tex]H_0: \mu = 3200[/tex]

At the alternate hypothesis, we test if it is less than the design value of 3200, so:

[tex]H_a: \mu < 3200[/tex]

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

3200 is tested at the null hypothesis:

This means that [tex]\mu = 3200[/tex]

The sample average unrestrained compressive strength for 50 specimens of a particular type of brick was computed to be 3120 psi, and the sample standard deviation was 180.

This means that [tex]n = 50, X = 3120, s = 180[/tex]

Test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{3120 - 3200}{\frac{180}{\sqrt{50}}}[/tex]

[tex]t = -3.14[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean below 3120, which is the p-value of t = -3.14, using a one-tailed test, with 50 - 1 = 49 degrees of freedom.

With the help of a calculator, the p-value of the test is 0.0014

The p-value of the test is 0.0014 < 0.01, meaning that the data indicates that the true average unrestrained compressive strength is less than the design value of 3200.

Answer:-18

-6

0

3

9

Step-by-step explanation:

Answer:

Multiply using the distributive property which will give you the answer 2x + 2.

Step-by-step explanation:

Answer:

2x + 1

Step-by-step explanation:

2 * (x + 1) |

              \/

           2x + 1

Answer:

11/8 and 21/16

Step-by-step explanation:

3 x 1 = 3

4 x 2= 8

3/8+3/4(convert to eighth's)

3/8+6/8=11/8

1 1/8 = 9/8

9 x 1 = 9

8 x 2 = 16

9/16+3/4(convert to sixteenth's)

9/16+12/16

21/16

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hope it helps

=3/4 × 1/2 + 3/4

=3/8 + 3/4

=9/8

2nd questions ans

=1×1/2 + 3/4

=1/2 + 3/4

=5/4

Answer:

118

Step-by-step explanation:

All angles inside a triangle add up to 180. D and C is the same. 31 x 2 = 62

180 - 62 = 118