Helppppp pleaseeee c: for brainliest

One type of insect is 0.0052 meters long. What is the lenght in scientific notation

Ket [755]

Answer:

5.2 × $10^{-3}$

Step-by-step explanation:

a number in scientific notation is expressed as

a × $10^{n}$

where 1 ≤ a < 10 and n is an integer

write 0.0052 as a number between 1 and 10, that is 5.2

we have to the move the decimal point 3 places to the left to retain it's value

3 places left means n is - 3

0.0052 = 5.2 × $10^{-3}$

8 0

3 years ago

A traffic helicopter descends 153 meters to be 445 meters above the ground, as illustrated in the

sertanlavr [38]

Answer:

598 meters

Step-by-step explanation:

In the problem, the word 'decend' means to decrease in elevation.

Our equation:

$? - 153 = 445$

Add 153 to both sides of the equation:

$?= 598$

598 meters represents the original height of the helicopter.

6 0

2 years ago

Please solve for me ill give brainliest

Black_prince [1.1K]

Answer:

$\displaystyle (0, -1); maximum$

Step-by-step explanation:

First off, B is zero, so there is no phase shift, meaning that the vertex stays on the y-axis. Next, A is negative, so the parabola opens down, and whenever you have a parabola opening down, it does so at maximum. Finally, C represents our y-intercept, or in this case, our vertical shift. Our y-intercept is (0, −1), and so as our vertex, hence our answer.

I am joyous to assist you anytime.

7 0

3 years ago

The falcons basketball team beat the tigers by 7 points in a game. The total points scored by both teams was 83. Write and solve

Blizzard [7]

Falcons = 45
Tigers = 38

83-7=76
76/2=38 (Tigers)
38+7=45 ( Falcons)

6 0

3 years ago

Paul wants to buy a car. He needs to take out a loan for $7000. The car salesman offers him a loan with an interest rate of 8%,

Alisiya [41]

Answer:

a. It will take approximately 40 months

b. The total amount Paul has to pay is approximately $8,000

c. The amount Paul pays each month is approximately $316.59

d. The amount Paul has to pay is approximately $7,598.16

e. Lower monthly payment

f. Lower total payment amount (amount to be paid)

Step-by-step explanation:

a. The loan amount, PV = $7,000

The annual interest rate, r = 8%

Option 1; The amount of equal monthly payment to repay the loan = $200

Option 2; The number of equal monthly payment to repay the loan = 24

The formula for the present value of an annuity is given as follows;

$PMT = \dfrac{\dfrac{r}{12} \times PV}{1 - \left (1 + \dfrac{r}{12} \right)^{-n}}$

Where;

PMT = The monthly payment

n = The number of months

Where PMT = $200, we have;

$200 = \dfrac{\dfrac{0.08}{12} \times 7,000}{1 - \left (1 + \dfrac{0.08}{12} \right)^{-n}}$

$1 - \dfrac{\dfrac{0.08}{12} \times 7,000}{200} = \left (1 + \dfrac{0.08}{12} \right)^{-n}$

$1 - \dfrac{7}{30} = \dfrac{23}{30} = \left ( \dfrac{151}{150} \right)^{-n}$

$-n = \dfrac{ ln \left(\dfrac{23}{30} \right)}{ln\left(\dfrac{151}{150} \right) } \approx -39.988$

∴ The number of months it will take for Paul to repay the loan, n ≈ 39.988 ≈ 40 months

b. The total amount Paul has to pay, A = PMT × n

Therefore, b plugging in the values of PMT, and 'n', we get;

A ≈ $200 × 40 = $8,000

c. Using option 2, we have;

n = 24

Therefore;

$PMT = \dfrac{\dfrac{0.08}{12} \times 7,000}{1 - \left (1 + \dfrac{0.08}{12} \right)^{-24}} \approx 316.59$

The monthly payment, PMT ≈ $316.59

d. The total amount Paul has to pay using option 2, A ≈ 316.59 × 24 = 7,598.16

The total amount Paul has to pay using option 2, A ≈ $7,598.16

e. A reason why Paul might choose option 1 is that option 1 offers lower monthly payment

f. A reason why Paul may choose option 2 is that option 2 offers a lower total amount that he has to pay.

5 0

3 years ago