A can of soup has a radius of 6 inches and a height of 10 inches. How much soup can fill the can if it is filled to the top? Place your answer in terms of pi.

Answer:

(C)x=11.6, y=23.2

Step-by-step explanation:

Using Theorem of Intersecting Secant and Tangent

Applying this theorem in the diagram, we have:

[tex]TQ$ X TP=TR^2[/tex]

[tex]10(10+x+4)=16^2\\10(14+x)=256\\140+10x=256\\10x=256-140\\10x=116\\$Divide both sides by 10\\x=11.6[/tex]

Next, we apply Theorem of Intersecting Chords

PV X VQ=SV X VR

4 X x= 2 X y

Recall earlier we got: x=11.6

2y=4 X 11.6

2y=46.4

Divide both sides by 2

y=46.4/2=23.2

Therefore: x=11.6, y=23.2

Answer:

x=-1, -1/2, 3

Step-by-step explanation:

Answer:

∠GHJ and ∠IHJ

Answer:

[-10, 10]

This is an absolute value problem and numbers within the brackets are always seen as positive. [-10] = 10   and [10] = 10

Step-by-step explanation:

Answer: Positive correlation

Step-by-step explanation:

As you go up and along the graph the values go up.

Both have to be increasing basically.

Answer:

40

Step-by-step explanation:

24 divided by = 8

8 times 5 = 40

can i have brainliest please

Answer:

40

Step-by-step explanation:

there is a 5 to 3 ratio for ice cream cones to brownies

ice cream: brownies

5:3

x:24

three times eight is 24

five times eight is 40

Answer:

fwefwfwfewfwefwefwfew

Step-by-step fweexplanation:

erwrwerw

Answer:

Diameter = 212 cm

Step-by-step explanation:

D= 2r

Answer:

4 seconds

Step-by-step explanation:

using the vertex formula of a quadratic,

[tex]a(x-h)^{2} + k[/tex], where (h,k) is the vertex

[tex]h = -8(t-0.5)^{2}+2[/tex]    h is height and t is time in seconds

the vertex (maximum height) of the dolphin is (h,k) or (0.5, 2)  

Height of 1/2

time of 2 seconds

it will take 2 additional seconds to reach the water again.

this can also be solved using quadratic equation, but since it was already set up in vertex form, i'd use that.

Answer: The point estimate for this population proportion is 0.2

Step-by-step explanation:

The point estimate for this population proportion is also referred to as the sample proportion. This is also known as the probability of success, p. The formula for determining p is expressed as

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 200

x = 40

p = 40/200 = 0.2

Answer:yes?

Step-by-step explanation:

it has #s in it lol

Answer:

no it isnt

Step-by-step explanation:

Answer:

The answer is 3cm

Step-by-step explanation:

The length of a diagonal of a cube with a side length of 1 cm is,

⇒ √3 cm

Multiplication means to add number to itself a particular number of times. Multiply will be viewed as a process of repeated addition.

Given that;

A side length of cube is,

⇒ 1 cm

We know that;

The length of a diagonal of a cube with a side length of a cm is,

⇒ d = √3 × a

Here, a = 1

Hence, The length of a diagonal of a cube with a side length of 1 cm is,

⇒ d = √3 × 1

⇒ d = √3 cm

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Answer: 16

Step-by-step explanation:

8+6+2

Answer:

2

Step-by-step explanation:

Under 13 min - that means at least at 07:13 am, and this is the first column, which shows Two People.

Answer:

Step-by-step explanation:

The equation of a linear function is in form:

[tex]y=mx+b[/tex]

We have:

[tex]\bold{A.}\\\\y=8(x+8)+4(x+8)\qquad\text{use the distributive property}\\\\y=8x+64+4x+32\qquad\text{combine like terms}\\\\y=12x+86\to m=12,\ b=86\\\\\bold{linear\ function}[/tex]

[tex]\bold{B.}\\\\y=\dfrac{\sqrt8}{8}x-4\to m=\dfrac{\sqrt8}{8},\ b=-4\\\\\bold{linear\ function}[/tex]

[tex]\bold{C.}\\\\y=\dfrac{1}{8}x+8\to m=\dfrac{1}{8},\ b=8\\\\\bold{linear\ function}[/tex]

[tex]\bold{D.}\\\\y=8x^2+8x+4\\\\\bold{not\ linear\ function}\\\\\text{because is}\ x^2\\\\\text{It's a quadratic function}[/tex]

Answer:

y = 1.3

Step-by-step explanation:

18y - 17 = 7

18y = 7 + 17

18y = 24

y = 24/18

y = 1.3

hope it helps!

Answer:

y=4/3

Step-by-step explanation:

To solve for y, we need to isolate it.

18y-17=7

Let's start by adding 17 to both sides.

18y=24

Next, we can divide both sides by 18.

y=24/18

Simplify.

y=4/3

Answer:Answer is 4

15x-5+125=180°

15x=60

x=4

Step-by-step explanation:I don't say you have to mark my ans as brainliest but my friend don't forget to thank me if it has really helped you..

Answer:

Step-by-step explanation:

hello :

f(x)=-2x and g(x)=(1/2)^x

f(-2)=-2(-2) =4

g(-2)=(1/2)^-2 = 1/2^-2 = 2²=4

Answer:

C or option three, f(x) = 1.5x + 0.5

Step-by-step explanation:

HAVE A GREAT DAY AND STAY SAFE!

The function represents the weight of a box based on the number of books is option (C) f(x)=1.5x+0.5.

The general equation of a straight line is y = mx + c

A slope of a line is the change in y coordinate with respect to the change in x coordinate

Here,

Consider two points in the lines

(3,5) and (5,8)

Slope of the line = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

= [tex]\frac{8-5}{5-3}[/tex]

=1.5

From the graph y intercept is 0.5

Hence, The function represents the weight of a box based on the number of books is option (C) f(x)=1.5x+0.5.

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Answer:

$0.60

Step-by-step explanation:

Answer:

1 = 0

12x12 = 4

100=1

I think the last one is also 1

Step-by-step explanation:

Answer:

1. C 2. B

Step-by-step explanation:

1. find the total circumference, d times pi, then put 42 over 360 and multiply them to get that section

2. The actual value of x is 33.2

So I plugged in that value for all of them

Answer:

They will sound together at 2pm

Step-by-step explanation:

Now, the first thing we need to calculate is , in how many minutes will the two gongs strike together.

To be able to do this, we need to calculate the least common multiple of the two numbers 24 and 40

The lowest common multiple between both is 120

This means that the two gongs will sound together at exactly 120 minutes

Now since 1 hour is 60 minutes, this means that 120 minutes will be = 120/60 = 2 hours

Since they both sounded together at 12 noon and the next time they will be sounding is next two hours, their sounding time will thus be 12 noon + 2 hours = 2 pm

Answer:

the answer would be 20

Answer:

x=3/2 or 1.5

Step-by-step explanation:

To solve for x, we have to get x by itself. To do this, perform the opposite of what is being done to the equation.

3(4x+5)=33

First, divide both sides by 3, since 3 is being multiplied by 4x+5

3(4x+5)/3=33/3

4x+5=11

Next, subtract 5 from both sides, since it is being added to 4x

4x+5-5=11-5

4x=6

Divide both sides by 4, since 4 is being multiplied by x

4x/4=6/4

x=6/4

x=3/2 or 1.5

Answer:

[tex] 320 = 10 (2)^{t/60}[/tex]

If we divide both sides by 10 we got:

[tex] 32 = 2^{t/60}[/tex]

We can apply natural log on both sides and we got:

[tex] ln (32) = \frac{t}{60} ln(2) [/tex]

And solving the value of t we got:

[tex] t = 60 \frac{ln(32)}{ln(2)}= 300[/tex]

So then we can conclude that after t = 300 days we will have approximately 320 rabbits  

Step-by-step explanation:

For this case we have the following function:

[tex] P(t) = 10 (2)^{t/60}[/tex]

Where P is the population of rabbis on day t. And for this case we want to find the value of t when P =320 so we can set up the following equation:

[tex] 320 = 10 (2)^{t/60}[/tex]

If we divide both sides by 10 we got:

[tex] 32 = 2^{t/60}[/tex]

We can apply natural log on both sides and we got:

[tex] ln (32) = \frac{t}{60} ln(2) [/tex]

And solving the value of t we got:

[tex] t = 60 \frac{ln(32)}{ln(2)}= 300[/tex]

So then we can conclude that after t = 300 days we will have approximately 320 rabbits  

Answer:

y=5/3x

Step-by-step explanation:

The equation can be used to represent y = (5/3)x.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have been given that Mrs. Ellis determines that 5 gallons of water flow from a faucet in 3 minutes.

Since the water continues to flow at the same rate.

Using represent the number of gallons, y, that flow through the faucet in x

In 3 minutes, 5 gallons of water come out of a faucet.

So the equation can be used to represent y = (5/3)x

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Answer:

the answer is b. tangent

Step-by-step explanation:

The ratio of the leg opposite to an angle to the leg adjacent to the angle in a right triangle is called the tangent of the angle.

The trigonometric ratio can be defined in terms of ratios of perpendicular, bases, and hypotenuse.

Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.

In a right-angled triangle, two such angles are there which are not right-angled(not of 90 degrees).

The slanted side is called the hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.

The tangent of the angle is

[tex]\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}[/tex]

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Answer:

B and C

Step-by-step explanation:

25% of 64 is 16. So find the two answers that are equivalent to 16.

A: 25*64 = 1600 [tex]\neq[/tex] 16

B: [tex]\frac{25}{100}[/tex]*64 = 16

C: 0.25 * 64 = 16

D: 64/[tex]\frac{25}{100}[/tex] =256 [tex]\neq[/tex] 16

E: 25/[tex]\frac{64}{100}[/tex] = 39.06 [tex]\neq[/tex] 16

Answer:

its b and c. had the same problem.

Answer:

c

Step-by-step explanation:

the number of bacteria is introduced

The function B(x) = 70000(0.5)ˣ, where x represents the number of 4 hour periods, represents the amount of bacteria present after the antibiotic is introduced. Therefore, option D is the correct answer.

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).

In any situation where an amount grows or declines by a set percent every time period can be represented using an exponential function.  Since the amount of bacteria is reduced by half, or 50%, every 4 hours, this is exponential decay.

Exponential functions such as this are of the form

y = a(1+r)ˣ, where a represents the initial population, r is the percent of growth or decrease, and x is the number of time periods.  In this situation, the initial population, a, is 70000.  Since the number of bacteria decreases by half, r = -0.50.  This gives us

y = 70000(1+-0.50)ˣ, or y = 70000(0.50)ˣ.

In 24 hours, there are 6 4-hour periods.  This means x = 6; this gives us

y = 70000(0.50)⁶ = 1093.75.

Therefore, option D is the correct answer.

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Answer:

The volume of the solution with 20% acid is 27 gallons and the one with 10% acid is 18 gallons

Step-by-step explanation:

Myra needs to mix "x" gallons of the solution with 20% and "y" gallons of the solution with 10%. The volume of the final solution must be 45 gallons, therefore:

x + y = 45

The concentration of acid of the final solution is:

0.2*x + 0.1*y = 45*0.16

0.2*x + 0.1*y = 7.2

Therefore we have a system of equation:

x + y = 45

0.2*x + 0.1*y = 7.2

We need to multiply the first equation by -0.1:

-0.1*x -0.1*y = -4.5

0.2*x + 0.1*y = 7.2

We now sum both equation:

0.1*x = 2.7

x = 2.7/0.1 = 27 gallons

y = 45 - 27  = 18 gallons

Answer:

B

Step-by-step explanation:

Volume = ⅓ pi × r² × h

147pi = ⅓ × pi × 7² × h

Step-by-step explanation:

Step 1:  Find the expression that can be used to find h

[tex]V = \pi * r^2 * \frac{h}{3}[/tex]

[tex]147 \pi = \pi * (7)^2 * \frac{h}{3}[/tex]

[tex]147\pi = \frac{1}{3} * \pi * 7^2 * h[/tex]

147 pi = one-third pi (7 squared) (h)

Answer:  Option B

Answer:

Angle IAJ

Step-by-step explanation:

X idea again. They are opposite to each other in the immediate area around them.