1. 4 to the 7th power =

I WILL RATE YOU BRAINLIEST PLEASE HELP!!!!! I tried to put in .7 for the first one but that didn't work

drek231 [11]

The answer is the answer is 0.7 not just .7

4 0

3 years ago

A person stands 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 meters

In-s [12.5K]

Answer:

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

Step-by-step explanation:

Given that,

A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.

From Pythagorean Theorem,

(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+

Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.

∴y²= x²+10²

$\Rightarrow y=\sqrt{x^2+100}$

Differentiating with respect to t

$\frac{dy}{dt}=\frac{1}{2\sqrt{x^2+100}}. 2x\frac{dx}{dt}$

$\Rightarrow \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}. \frac{dx}{dt}$

Since the car driving towards the intersection at 13 m/s.

so, $\frac{dx}{dt}=-13$

$\therefore \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}.(-13)$

Now

$\therefore \frac{dy}{dt}|_{x=24}=\frac{24}{\sqrt{24^2+100}}.(-13)$

$=\frac{24\times (-13)}{\sqrt{676}}$

$=\frac{24\times (-13)}{26}$

= -12 m/s

Negative sign denotes the distance between the car and the person decrease.

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

8 0

3 years ago

A pitcher of lemonade in Manny's refrigerator was full in the morning. In the afternoon, he drank two glasses of lemonade. Each

Snezhnost [94]

To find how much lemonade the pitcher can hold, you will add the amounts that he drank and remained to get a total. This total would be the starting amount.

8 oz + 8 oz + 24 oz = 40 ounces

The pitcher originally held 40 ounces of lemonade.

5 0

3 years ago

Use the formula for the present value of an ordinary annuity or the amortization formula to solve the following problem.

Tju [1.3M]

Answer:

1. n = 40

2.

Step-by-step explanation:

The ordinary annuity formula can be written as ...

PV = PMT(1 -(1+r)^-n)/r

where PMT is the payment per period, r is the interest rate per period, and n is the number of periods.

This formula can be solved explicitly for n, but not for r. Iterative or other methods can be used to find r.

__

1. Filling in the given information, we have ...

15000 = 650(1 -1.03^-n)/0.03

450/650 = 1 - 1.03^-n . . . . . divide by the coefficient of the stuff in parens

1.03^-n = 4/13 . . . . . . . . . . . solve for the exponential term

-n·log(1.03) = log(4/13) . . . . take logarithms

n = log(13/4)/log(1.03) ≈ 39.87 . . . . . solve for n

n ≈ 40

__

2. We can rewrite the annuity formula to make it be a function of i that is zero at the desired value of i.

f(i) = PV -PMT(1 -(1+i)^-n)/i

If we want i as a percentage, then we can replace i with i/100 and fill in the given values to get ...

f(i) = 9000 -500(1 -(1 +i/100)^-35)/(i/100)

f(i) = 1000(9 -50(1 -(1 +i/100)^-35)/i) . . . . multiply the fraction by 100/100

Since we're seeking a value of f(r) that is zero, we can eliminate the factor of 1000.

f(i) = 9 -50(1 - (1+i/100)^-35)/i

The attached graph shows the solution to f(i)=0 is near i=4.27%. As a decimal rounded to 3 decimal places, this is ...

i ≈ 0.043

3 0

3 years ago

Which two angles are congruent? A: Angles ABC and JKL. B: Angles GHI and ABC. C: Angles JKL and DEF. D: Angles DEF and GHI

Anna [14]

Answer:

A: Angles ABC

C: Angles JKL

Step-by-step explanation:

Because I just answered this question

4 0

3 years ago