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weeeeeb [17]
2 years ago
12

Which rational number corresponds to point A on the number line?

Mathematics
1 answer:
enot [183]2 years ago
5 0

9514 1404 393

Answer:

  B.  -2/3

Step-by-step explanation:

Each small division on this number line is 1/3 unit. Point A is 2 small divisions left of 0, so corresponds to the value -2/3.

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An office building casts a 90 foot shadow. At the same time of day, a 5 foot woman standing near the building casts an 8 foot sh
professor190 [17]
The answer is 56.25ft
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3 years ago
I don’t know how to do that
julia-pushkina [17]
Number 3 is D, number 4 is B, number 5 is B
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3 years ago
An object is launched with a velocity at 64 feet per second from a platform 30 feet high. the function H(t)= -16t2+64t+30 repres
PolarNik [594]
To find the maximum or minimum value of a function, we can find the derivative of the function, set it equal to 0, and solve for the critical points.

H'(t) = -32t + 64

Now find the critical numbers:

-32t + 64 = 0

-32t = -64

t = 2 seconds

Since H(t) has a negative leading coefficient, we know that it opens downward. This means that the critical point is a maximum value rather than a minimum. If we weren't sure, we could check by plugging in a value for t slightly less and slighter greater than t=2 into H'(t):

H'(1) = 32

H'(3) = -32

As you can see, the rate of change of the object's height goes from increasing to decreasing, meaning the critical point at t=2 is a maximum.

To find the height, plug t=2 into H(t):

H(2) = -16(2)^2 +64(2) + 30 = 94

The answer is 94 ft at 2 sec.
4 0
3 years ago
Jolene invests her savings in two bank accounts, one paying 4 percent and the other paying 10 percent simple interest per year.
Nostrana [21]

Answer:

<h2>$ 22200 in higher yielding bank and $ 44400 in lower yielding bank</h2>

Step-by-step explanation:

       Jolene invests in two bank accounts. The first account gives a 4% interest per year and the second bank gives a 10% interest rate per year.

       She puts twice as much in the lower yielding bank account. Let us denote the amount put in high yielding bank account by x. Lower yielding bank account will have 2x.

       Interest\text{ }per\text{ }year=Principal\times Interest\text{ }rate

Interest from lower yielding bank = \dfrac{4}{100} \times 2x=\dfrac{8x}{100}

Interest from higher yielding bank = \dfrac{10}{100} \times x=\dfrac{10x}{100}

Total Interest per year = $ 3996 = \dfrac{8x}{100} +\dfrac{10x}{100}=\dfrac{18x}{100}

x=22200 \$

∴ Jolene invested $ 22200 in higher yielding bank and $ 44400 in lower yielding bank.

4 0
2 years ago
The height of a cone-shaped statue is 9 ft, and the diameter is 12 ft. What is the volume of the statue? Use 3.14 to approximate
neonofarm [45]
Height = 9 ft
Radius = Diameter/2 = 12/2 = 6 ft
Volume of a cone = 1/3πr²h
= 2/3 × 3.14 × 6 × 6 × 9
= 339.12 ≈ 339.1 cubic foot.
4 0
3 years ago
Read 2 more answers
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