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fredd [130]
3 years ago
8

O A. 2/3 B. 1 c C. 3/2 D. 24 cups

Mathematics
1 answer:
liubo4ka [24]3 years ago
5 0
I would go with c if i were u
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Suppose that circles A and B have a central angle measuring 40°. Additionally, circle A has a radius of
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The answer will be C
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If a line falls on the points (6,22) and (4,21), what is its slope? Enter your answer as a fraction in lowest terms. Use a slash
I am Lyosha [343]

Answer:

1/2

Step-by-step explanation:

Since we have two points, we can use the slope formula

m = (y2-y1)/(x2-x1)

    = (22-21)/(6-4)

    = 1/2

8 0
3 years ago
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during a softball game kay hit a fly ball the function f(x) = -16t^2 + 64t + 4 describes the height of the softball in feet. mak
STatiana [176]
<h2>Hello!</h2>

The graph is attached.

To graph a parabola we need to know the following:

- If the parabola is open upwards or downwards

- They axis intercepts (if they exist)

- The vertex position (point)

We are given the function:

f(t)=-16t^{2}+64t+4

Where,

a=-16\\b=64\\c=4

For this case, the coefficient of the quadratic term (a) is negative, it means that the parabola opens downwards.

Finding the axis interception points:

Making the function equal to 0, we can find the x-axis (t) intercepts, but since the equation is a function of the time, we will only consider the positive values, so:

f(t)=-16t^{2}+64t+4\\0=-16t^{2}+64t+4\\-16t^{2}+64t+4=0

Using the quadratic equation:

\frac{-b+-\sqrt{b^{2}-4ac } }{2a}=\frac{-64+-\sqrt{64^{2}-4*-16*4} }{2*-16}\\\\\frac{-64+-\sqrt{64^{2}-4*-16*4} }{2*-16}=\frac{-64+-\sqrt{4096+256} }{-32}\\\\\frac{-64+-\sqrt{4096+256} }{-32}=\frac{-64+-(65.96) }{-32}\\\\t1=\frac{-64+(65.96) }{-32}=-0.06\\\\t2=\frac{-64-(65.96) }{-32}=4.0615

So, at t=4.0615 the height of the softball will be 0.

Since we will work only with positive values of "x", since we are working with a function of time:

Let's start from "t" equals to 0 to "t" equals to 4.0615.

So, evaluating we have:

f(0)=-16(0)^{2}+64(0)+4=4\\\\f(1)=-16(1)^{2}+64(1)+4=52\\\\f(2)=-16(2)^{2}+64(2)+4=68\\\\f(3)=-16(3)^{2}+64(3)+4=52\\\\f(4.061)=-16(4.0615)^{2}+64(4.0615)+4=0.0034=0

Finally, we can conclude that:

- The softball reach its maximum height at t equals to 2. (68 feet)

- The softball hits the ground at t equals to 4.0615 (0 feet)

- At t equals to 0, the height of the softball is equal to 4 feet.

See the attached image for the graphic.

Have a nice day!

3 0
3 years ago
2. Mrs. Siebenaller bought a “bus” for $25,000 with a 7% interest rate. Mrs. S. gets a loan to pay off in 5 years. How much inte
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Answer: the correct option is A

Step-by-step explanation:

Cost of the bus is $25000. She took a loan of $25000 to be paid of in 5 years at an interest rate of 7%.

The formula for simple interest is expressed as

I = PRT/100

Where

I = interest

P = principal or initial amount borrowed

T = time in years

R = interest rate in percentage

From the information given,

P = 25000

R = 7%

T = 5 years

Therefore

I = (25000 × 7 × 5)/100 = 875000/100

I = $8750

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3 years ago
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The measure of AngleMKJ is 80°. After analyzing the diagram, Janelle concludes that Ray K L is an angle bisector. Point K has th
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Answer: it’s c

Step-by-step explanation:

9 0
3 years ago
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