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11Alexandr11 [23.1K]
2 years ago
11

Write 7 × √7 as a single power of 7.

Mathematics
2 answers:
Natasha2012 [34]2 years ago
7 0

Answer:

{7}^{ \frac{3}{2} }

Step-by-step explanation:

\sqrt{7}  \: can \: also \: be \: written \: as \:  {7}^{ \frac{1}{2} }

We can use this information to rewrite the original expression:

7 \times  {7}^{ \frac{1}{2} }

7 can also be written as

{7}^{1}

Remember that when multiplying exponents, if they have the same base, we can add the exponents. Therefore:

{7}^{1}  \times  {7}^{ \frac{1}{2} }  \\  {7}^{1 +  \frac{1}{2} }  \\  {7}^{1 \frac{1}{2} }   \\  {7}^{ \frac{3}{2} }

maw [93]2 years ago
3 0

Answer:

7 x 2.6

Step-by-step explanation:

the square root of 7 is exactly 2.645751311064591, so in this case I converted it to a smaller number, using tenths place.

solution:

7 x 2.6 = 18.2

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PLEASEEE HELP ME WHAT IS THE ANSWER!!
blagie [28]

Answer:

Number 3 is correct.

129.19m

Step-by-step explanation:

You might be wondering how did I got 32⁰, well, that's because they are alternate angles.

Now, we're trying to find the opposite side of the triangle.

Using the laws,

we got cos32⁰=x/243.8

243.8cos32⁰=x

129.19⁰

Mark me as Brian list?

3 0
2 years ago
Critique each of the following proposed research plans. Your critique should explain any problems with the proposed research and
Korvikt [17]

Answer:

Explained

Step-by-step explanation:

Given that:

- A researcher is interested in determining whether a large aerospace firm is guilty of gender bias in setting wages.

According to the given info the difference in means test is too limited because it does not include the type of engineer, education level or experience. The gender with lower wages of might be reflected in the type of engineer or education level.

The research could be improved using additional data on the factors namely gender, education, education and the type of engineer.

Then, further it is recommended to construct a multiple regression where the dependent variable is a wage and the four factors are independent variables. The importance of the omited variable by the means of that the "difference in means" test in unsuitable for determining the gender bias in setting wages.

3 0
3 years ago
Giving brainliest to CORRECT answer.
gavmur [86]

Answer:

Graph A

Step-by-step explanation:

y =  {x}^{2}  - 6x - 7 \\ plug \: y = 0 \\  {x}^{2}  - 6x - 7 = 0 \\  {x}^{2}  - 6x + 9 = 7 + 9 \\ (x - 3)^{2}  = 16 \\ (x - 3) =  \pm 4 \\ x = 4 + 3 \: or \: x =  - 4 + 3 \\ x = 7 \: or \: x =  - 1

Its mean graph should intersect x axis at x = 7 and x = - 1. This everything is satisfied by graph A.

3 0
3 years ago
Read 2 more answers
a car travels along a straight road heading east for one hour, then traveling for 30 minutes on another road that leads northeas
My name is Ann [436]

Answer:

55.96 miles

Step-by-step explanation:

Distance = Speed X time

Car first moved east for 1 hr , distance = 40 x 1 = 40 miles

Car then moved north-east for 30 min, distance = 40 x 0.5 = 20 miles

From trigonometry,

sin 45 = \frac{y}{20} ; y = 20 sin 45 ; y= 14.14 miles

cos 45 = \frac{x}{20} ; x = 20 cos 45 ; x = 14.14 miles

using Pythagoras theorem;

z^{2} = y^{2} + (40+x)^{2}

    = 14.14^{2} + (40+14.14)^{2}

     = 3131.08

z^{2} = \sqrt{3131.08}

z = 55.96 miles

6 0
3 years ago
Which triangle drfined by the given points on the coordinate plane is similar to the triangle illustrated? ​
Harrizon [31]

Answer:D.) (-1, 1), (-1, 5), (-7, 1)

Step-by-step explanation:The length of the horizontal segment of the triangle graphed is 3.  The length of the vertical segment of the triangle graphed is 2.  Using the Pythagorean theorem, this makes the length of the missing side

2²+3²=c²

4+9 = c²

13=c²

√13 = c

This makes our side lengths 2, 3, and √13.

For choice A our vertices are (-1, 1), (-1, 4), (-6, 1).

This makes the length of the horizontal segment 5 and the length of the vertical segment 3.  This makes the missing side length

5²+3²=c²

25+9=c²

34=c²

√34 = c

This is not proportional to the triangle drawn, so it is not similar.

The vertices of the triangle in option B are (-1, 1), (-1, 5), and (-6, 1).  This makes the horizontal segment 5 units long and the vertical segment 4 units long.  This makes the missing side length

4²+5²=c²

16+25=c²

41=c²

√41=c

These are not proportional to the triangle drawn, so the triangles are not similar.

The vertices of the triangle in choice C are (-1, 1), (-1, 4) and (-7, 1).  This makes the length of the horizontal segment 6 and the length of the vertical segment 3.  This makes the missing side length

3²+6²=c²

9+36=c²

45=c²

√45=c

3√5=c

These sides are not proportional to the sides of the triangle drawn, so the triangles are not similar.

The vertices of the triangle in choice D are (-1, 1), (-1, 5) and (-7, 1).  This makes the length of the horizontal segment 6 and the length of the vertical segment 4.  This makes the missing side length

6²+4²=c²

36+16=c²

52=c²

√52=c²

2√13=c

These sides are all twice as long as the sides of the triangle drawn; this means the triangles are similar.

4 0
3 years ago
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