What is 8d(2d+8)+d squared Simplify THANKS GUYS

A woman drives an SUV that gets 10 mi/gal (mpg). Her husband drives a hybrid that gets 50 mpg. Every week, they travel the same

zavuch27 [327]

Answer:

The best option would be Number 1.

Step-by-step explanation:

Let's say that they each traveled 1,000 miles a week, meaning that instead of the SUV using 100 gallons of gas, it would be using 90.9, which is 9.1 gallons less.

The hybrid will only use 20 gallons of gas in that week. Meaning together, they will be 100.9 gallons a week for 1,000 miles.

In option 2, they would still be using 100 gallons of gas for the SUV a week, except, the hybrid would only be using 12.5 gallons, which is 7.5 gallons less.

The total of those together would be 112.5 gallons a week for 1,000 miles. So, it may be a small difference between the two options, yet Option 1 is the best choice on how to save gas.

5 0

3 years ago

Read 2 more answers

Solve (x − 2) = 3 Give your solutions correct to 3 significant figures.

Pachacha [2.7K]

Answer:

(x − 2) = 3

Remove the bracket

x - 2 = 3

Group the constants at one side of the equation

x = 2 + 3

x = 5

Therefore x = 5.00 to 3 significant figures.

Hope this helps

6 0

4 years ago

Lucy recieves a gift of a twenty-one year annuity on the day she was born. The annuity pays $500 on her odd birthday and $700 on

suter [353]

Explanation:

Let i represent the nominal annual interest rate (8%). Then the effective annual multiplier of the principal is ...

(1 +i/12)^12 = (1+.08/12)^12 ≈ 1.0829995

Then the 2-year multiplier is the square of this:

1+r = (1.0829995)² = 1.1728879

We can use the formula for the present value of an annuity to refer all of the odd-birthday payments to 1 year prior to birth, then adjust by the above annual multiplier. All the even-birthday payments will have the formula applied in the usual way.

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

where P is the payment amount, (1+r) is the periodic multiplier, and n is the number of payments.

For the odd-birthday payments, the PV (1 year early) is ...

PV = $500(1 -(1.1728879)^-11/0.1728879 = $2391.5704

so, the amount referred to the day of birth is ...

1.0829995 × $2391.5704 = $2590.07 . . . . . PV of odd-birthday payments

__

The value of even-birthday payments is ...

PV = $700(1 -(1.1728879)^-10/0.1728879 = $3227.06

And the total value of both sets of payments is ...

annuity value = $2590.07 +2337.06 = $5817.13

_____

Alternate solution

You could also work this using the PV formula on the sum of ten sets of two years' payments: (700 +500/1.083) and then add the PV of the first odd-year birthday payment: 500/1.083.

This gives ...

500/1.083 + (700 +500/1.083)(1 -(1.1729^-10))/0.1729 = 5817.13

3 0

4 years ago

In a right triangle ΔABC, the length of leg AC = 5 ft and the hypotenuse AB = 13 ft. Find: The length of the angle bisector of a

Aliun [14]

Check the picture below.

$\bf cos(\theta)=\cfrac{adjacent}{hypotenuse}\quad cos(CAB)=\cfrac{5}{13}\implies \measuredangle CAB=cos^{-1}\left( \frac{5}{13} \right)
\\\\\\
\textit{that means that }\measuredangle hAC=\cfrac{cos^{-1}\left( \frac{5}{13} \right)}{2}\impliedby \textit{one of the halves}$

now, notice, for the angle hAC, the hypotenuse is hA, and the adjacent side is CA, therefore,

$\bf cos(\theta)=\cfrac{adjacent}{hypotenuse}\qquad cos(hAC)=\cfrac{5}{hA}\implies hA=\cfrac{5}{cos(hAC)}
\\\\\\
hA=\cfrac{5}{cos\left[ \frac{cos^{-1}\left( \frac{5}{13} \right)}{2} \right]}$

make sure your calculator is in Degree mode, if you need the angle in degrees.

8 0

3 years ago

Which of the following best describes the slope of the line below? A. Zero B. Undefined C. Positive D. Negative

nadya68 [22]

Answer:

D. negative

Step-by-step explanation:

Let's analyze each answer choice.

A. Zero

A line with a zero slope is a horizontal line. The x values change, but the y values stay the same.

B. Undefined

A line with an undefined slope is a vertical line. The x values don't change and the y values vary.

C. Positive

When a line has a positive slope, the line increases from left to right.

D. Negative

When a line has a negative slope, the line decreases from left to right.

When we move from left to right on the graph, the line moves down. Therefore, this line must have a negative slope and D is correct.

7 0

3 years ago