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V125BC [204]
2 years ago
14

Solve the equation -2=3-7^5 sqrt x^2 a. 4.98 c. 3.87 b. 0.43, –0.43 d. 1.53, –1.53          

Mathematics
1 answer:
Basile [38]2 years ago
8 0

Answer:

Exact form : x = 5/7 , -5/7

Decimal form : x=0.714285 , -0.714285

Step-by-step explanation: Take the root of both sides and solve.

Hope this helps you out! ☺

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Which of the following best describes the volume of a cylinder?
Ahat [919]
<span>A. the area of the circular base multiplied by the height of the cylinder B. the circumference of the circular base multiplied by the height of the cylinder C. the sum of the areas of the two circular bases multiplied by the height of the cylinder D.</span>
4 0
3 years ago
Tan x + sqrt(3) = - 2 tan x
Svet_ta [14]

9514 1404 393

Answer:

  nπ -π/6 . . . for any integer n

Step-by-step explanation:

  tan(x) +√3 = -2tan(x) . . . . . given

  3tan(x) = -√3 . . . . . . . . . . . add 2tan(x)-√3

  tan(x) = -√3/3 . . . . . . . . . . divide by 3

  x = arctan(-√3/3) = -π/6 . . . . use the inverse tangent function to find x

This is the value in the range (-π/2, π/2). The tangent function repeats with period π, so the set of values of x that will satisfy this equation is ...

  x = n·π -π/6 . . . . for any integer n

8 0
2 years ago
Ray has found that his new car gets 31 miles per gallon on the highwayand 26 miles per gallon in the city. He recently drove 285
Mkey [24]

Answer:

Highway = 155\ miles

City = 130\ miles

Step-by-step explanation:

Given

Highway = 31mi/gallon

City = 26mi/gallon

Total\ Miles = 285

Total\ Gallons = 10

Required

Determine the number of miles driven on the highway and on the city

Represent the gallons used on highway with h and on city with c.

So, we have:

c + h = 10 ---- gallons used

and

31h + 26c = 285 --- distance travelled

In the first equation, make c the subject

c = 10 - h

Substitute 10 - h for c in the second equation

31h + 26c = 285

31h + 26(10 - h) = 285

Open bracket

31h + 260 - 26h = 285

Collect like terms

31h - 26h = 285 - 260

5h = 25

Make h the subject

h = \frac{25}{5}

h = 5

Substitute 5 for h in c = 10 - h

c = 10 - 5

c = 5

If on the highway, he travels 31 miles per gallon, then his distance on the highway is:

Highway = 31 * 5

Highway = 155\ miles

If in the highway, he travels 26 miles per gallon, then his distance on the highway is:

City = 26 * 5

City = 130\ miles

8 0
2 years ago
Somebody please help me :)​
aleksandrvk [35]

Answer:

(5,7.5) (12,18) (18,27)

Step-by-step explanation:

It costs $1.50 per cupcake.

y = 1.5x, where x is the amount of cupcakes and y is the amount of money in dollars.

7.5 = 1.5 times 5

18 = 1.5 times 12

27 = 1.5 times 18

6 0
3 years ago
What is 159% of 980? Round to the nearest hundredth.
notsponge [240]

Answer: There is no need to round in this case, but 159% of 980 is 1558.2.

3 0
3 years ago
Read 2 more answers
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