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3 years ago

Please help I don't understand exponents

Mathematics

2 answers:

Mkey [24]3 years ago

4 0

Answer:

1.) the answer is the fourth one, 1/5^7

2.) the answer is the fourth one, 1/5^6

3.) the answer is the fourth one, (2^6)^-5

4.) this is seems to be a duplicate of the first one

Step-by-step explanation:

1.) by 'adding' 4 exponent values on the top it simplifies the top to simply one and 5^7 on the bottom

2.) since this is an exponent of an exponent multiply them, getting 5^-6, then simplify negative exponents.

3.) exponents of exponents are multiplied

AVprozaik [17]3 years ago

3 0

Step-by-step explanation:

everything can be found in the picture above

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Question 6 (1.25 points)

Lisa [10]

Answer:

Test statistic Z= 1.713

The calculated Z- value = 1.7130 < 2.576 at 0.01 level of significance

Null hypothesis is accepted

There is no difference between the mean annual salary of all lawyers in a city is different from $110,000

Step-by-step explanation:

Step(i):-

A researcher wants to test if the mean annual salary of all lawyers in a city is

different from $110,000

Mean of the Population μ = $110,000

Sample size 'n' = 53

Mean of the sample x⁻ = $114,000.

standard deviation of the Population = $17,000,

Level of significance = 0.01

Null hypothesis :

There is no difference between the mean annual salary of all lawyers in a city is different from $110,000

H₀: x⁻ = μ

Alternative Hypothesis : x⁻ ≠ μ

Step(ii):-

Test statistic

$Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{114000-110000}{\frac{17000}{\sqrt{53} } }$

Z = 1.7130

Tabulated value Z = 2.576 at 0.01 level of significance

The calculated Z- value = 1.7130 < 2.576 at 0.01 level of significance

Null hypothesis is accepted

There is no difference between the mean annual salary of all lawyers in a city is different from $110,000

4 0

3 years ago

What is the length of a side of a cube with a volume of 2197 ft3?

kvv77 [185]

Vloume = (Length)^3
so, Length = (2197)^(1/3)
Length = 13 ft

8 0

4 years ago

34=2x+8(x+3) Help me solve please?

sveta [45]

34 = 2x +8x + 8(3)
34 = 2x + 8x + 24
34 = 10x + 24
10 = 10x

x = 1

6 0

3 years ago

Can someone plz help me? :(

TiliK225 [7]

the answer to your question is B.) 12x

7 0

2 years ago

A field is a rectangle with a perimeter of 1220 feet. The length is 100 feet more than the width. Find the width and length of t

rosijanka [135]

To start, let x represent the width and x+100 represent the length. Since the perimeter of a figure is the sum of all the measurements of the side which can be represented by (x+100)+(x+100)+x+x and since you know your perimeter is 1220, you can set the expression equal to 1220. This would look like this:
(x+100)+(x+100)+x+x=1220

Once you have done that, combine any like terms (combine terms with the same variables and raised to the same power together) which would simplify to this:
4x+200=1220

Now that you have your like terms simplified, subtract 200 from both sides to get 4x=1020 and finally, to solve for x, or find the width, divide both sides by 4 to get x=255.

Now that you have your width, now you must find your length as the question asks to find the dimensions of the rectangular field. To find the length, add 100 to the width, 255 since according to the information given, the length is 100 more than the width. When you add 100 to 255, you should get that your length is 355.

Now that you have your length and width, you can conclude that the dimensions of the field is 255 by 355 feet, which is your answer :)

3 0

3 years ago