Evaluate 1/x^-2 for x= 7.
-49
49
1/49
Please help
And thx but HURRY

Answers

Answer 1
Answer: 49

Step-by-Step Explanation:

As we can see, we have been given a negative exponent for “x”. Hence we have to take the reciprocal which would be x squared.


Therefore, x = 7
= x^2 = 7 * 7
= 49
Answer 2

Answer:

49

Step-by-step explanation:

Simplify the expression such that the variable has a positive exponent.

[tex]\frac{1}{x^{-2} }[/tex]x² [negative exponent is taken to the other side]

Substitute x = 7.

(7)²49

Related Questions

whats the 8th term of 12,18,27

Answers

THIS QUESTION IS SOLVED BY DOUBLE DIFFERENCE

8,12,18,27

DIFFERENCE NO. 1

12–8=4

18–12=6

27–18=9

DIFFERENCE NO. 2

6–4=2

9–6=3

FINALLY

4+9=13

13+27=40

ANSWER= 40

Answer:

205.03125.

Step-by-step explanation:

18/12 = 1.5

27/18 = 1.5

This is geometric with nth term = ar^(n-1)

Here first term a = 12 and common ratio r = 1.5, so

The 8th term = 12(1.5)^(8-1)

= 205.03125

would you please help me?

Answers

Answer:

52

x 6

300 6 x 5 tens

+12 6 x 2 ones

312

I need help what is (4÷5×x) what I x​

Answers

Answer:

0.8x

Step-by-step explanation:

According to BODMAS,

Step 1 :

4 ÷ 5

= 4 / 5

= 0.8

Step 2 : Multiply x.

0.8 * x = 0.8x

Answer:

Step one

4 ÷ 5

= 4/5

= 0.8

Step two = 0.8 * x

= 0.8x

Solve the following:
4x3 = 2x + 7

Answers

Answer:

If you meant 4x to the third power, than x = 1.34

Over the closed interval [3, 8], for which function can the extreme value theorem be applied?

Answers

Answer:

ITS C

Step-by-step explanation:

trust

help giving branliest

Answers

Answer:

a

34

b

17

c

46

Step-by-step explanation:

a

Lowest age = 21

Highest age = 55

Range = 34

b

Add them all together and you get 17

c

Median is middle

17 total people

Formula for median:

(n + 1)/2 = th

n is the total

17 + 1 is 18

18 halved is the 9th number

The 9th number is 46

Construct a 90% confidence interval for the population mean, . assume the population has a normal distribution. a sample of 15 randomly selected students has a grade point average of 2.86 with a standard deviation of 0.78

Answers

Answer:

[tex]CI=\{2.5053,3.2147\}[/tex]

Step-by-step explanation:

Assuming the conditions for constructing a t-confidence interval are true, we use the formula [tex]\displaystyle CI=\bar{x}\pm t^*\biggr(\frac{s}{\sqrt{n}}\biggr)[/tex] where our sample mean is [tex]\bar{x}=2.86[/tex], our sample standard deviation is [tex]s=0.78[/tex], our sample size is [tex]n=15[/tex], and a 90% confidence level is equivalent to a critical value of [tex]t^*=1.7613[/tex],

[tex]\displaystyle CI=\bar{x}\pm z^*\biggr(\frac{s}{\sqrt{n}}\biggr)\\\\CI=2.86\pm 1.761\biggr(\frac{0.78}{\sqrt{15}}\biggr)\\\\CI=2.86\pm0.3547\\\\CI=\{2.5053,3.2147\}[/tex]

Hence, we are 90% confident that the true population mean of a student's grade point average is between 2.5053 and 3.2147

evaluate the following expression. you should do this problem without a calculator e^In3

Answers

The relation between the exponential and the logarithm is used. Then the expression [tex]e^{\ln3}[/tex] is given as 3.

What is a logarithm?

Exponents can also be written as logarithms. A number base logarithm is similar to some other number. It is the exact inverse of the exponent expression.

The expression is given below.

[tex]\rightarrow e^{\ln3}[/tex]

We know the formula

[tex]\rm e^{\ln x} = x[/tex]

Then the expression can be written as

[tex]e^{\ln3} = 3[/tex]

More about the logarithm link is given below.

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John is weighing his jars of coins. his jar of pennies weighs 84.96 ounces, and his jar of nickels weighs 3.11 kilograms. there are 0.0283495 kilograms per ounce. which jar weighs more, and how many more pounds does it weigh? a. the jar of pennies weighs 8.41 pounds more than the jar of nickels. b. the jar of pennies weighs 0.089 pounds more than the jar of nickels. c. the jar of nickels weighs 2.06 pounds more than the jar of pennies. d. the jar of nickels weighs 1.55 pounds more than the jar of pennies.

Answers

The jar of nickels weighs 1.55 pounds more than the jar of pennies. The correct option is d

Calculating weight

From the question, we are to determine the jar that weighs more

From the given information

His jar of pennies weighs 84.96 ounces

and his jar of nickels weighs 3.11 kilograms

First, we will 84.96 ounces to kilogram

From the given conversion,

There are 0.0283495 kilograms per ounce

That is, 0.0283495 kg = 1 ounce

If 1 ounce = 0.0283495 kg

Then,

84.96 ounces = 84.96 × 0.0283495 kg

∴ 84.96 ounces = 2.4086 kg

His jar of pennies weighs 2.4086 kg

Since the John's jar of nickels weighs 3.11 kg, his jar of nickels weigh more.

3.11 kg - 2.4086 kg = 0.7014 kg

Convert 0.7014 kg to pounds

1kg =  2.20462 pounds

∴ 0.7014 kg = 0.7014 × 2.20462 pounds

0.7014kg ≅ 1.55 pounds

Hence, the jar of nickels weighs 1.55 pounds more than the jar of pennies. The correct option is d.

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If the dimensions of a rectangular prism are 10 cm x 5 cm x 7 cm, what is
the surface area?

Answers

Answer:

310

Step-by-step explanation:

Multiply the l/w/h x 2

What is an equation of a line that perpendicular to y=8x-3?

Question 4 options:

y=8x + 10


y=10x - 3


y= -1/-8 (-3)


y= -1/-8 +1

Answers

Hi Student!

Reading the question we can pull out specific bits of information that would help us find our answer.  One of the bits of information that is useful is that we are trying to find the perpendicular line.  However, in order to determine a line that is perpendicular to the other line we first need to determine the slope of the first line.  Looking at the equation given, we can see that it follows the y = mx + b form where m is the slope and in this case our slope is 8.

Now that we have completed the information gathering, we can move onto the next part which is determining a slope that is perpendicular to that of the original line.  In order to find that we first need to negate our slope which would turn our 8 into a -8.  The second step that we need to do is take the reciprocal of the number which means that we basically flip the number and so we convert -8 into -1/8.  Looking at the given options, there is none that match our answer so that either means that the question is wrong or the choices that are given are wrong.

Stephanie earns $50 a week from babysitting. She spends
$25, saves $15, and uses the rest to repay a loan of $100 from
her brother. After six weeks, how much has Stephanie spent,
how much has she saved, and how much does she still owe her
brother?

Answers

Step-by-step explanation:

Stephanie has spent $150

she has saved $90

and owes her brother$40

Spent:
$25 X 6 = $150

Saved:
$15 X 6 = $90

Owed:
$50 - $25 - $15 = $10
$10 X 6 = $60
$100 - $60 = $40

How do you add these two consecutive triangular numbers?
TR(4)+TR(3)

Answers

The n-th trianglar number is given by

[tex]T_n = \dfrac{n(n+1)}2[/tex]

Then

[tex]T_4 + T_3 = \dfrac{4\times5}2 + \dfrac{3\times4}2 = \boxed{16}[/tex]

Alternatively, the triangular numbers are defined recursively by

[tex]\begin{cases}T_1 = 1 \\ T_n = T_{n-1} + n & \text{for } n>1\end{cases}[/tex]

This means

[tex]T_1=1[/tex]

[tex]T_2 = T_1 + 2 = 3[/tex]

[tex]T_3 = T_2 + 3 = 6[/tex]

[tex]T_4 = T_3 + 4 = 10[/tex]

so that

[tex]T_3+T_4=\boxed{16}[/tex]

The volume of this cylinder is 1,481,276.16 cubic inches. What is the radius? (will mark brainliest)

Answers

Answer:

radius = 72.00 in (nearest hundredth)

Step-by-step explanation:

[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]

Given:

Volume = 1,481,276.16 in³Height = 91 inπ ≈ 3.14

Substituting the given values into the formula and solving for r:

[tex]\implies \sf 1481276.16=3.14 \cdot r^2 \cdot 91[/tex]

[tex]\implies \sf 1481276.16=285.74r^2[/tex]

[tex]\implies \sf r^2=\dfrac{1481276.16}{285.74}[/tex]

[tex]\implies \sf r^2=5184[/tex]

[tex]\implies \sf r=\sqrt{5184}[/tex]

[tex]\implies \sf r=72\:in[/tex]

Answer: radius : 72.00 inch

The following is a cylinder.

Volume of Cylinder: πr²h

Given following:

volume: 1,481,276.16height: 91 inchπ ≈ 3.14radius: r

Solve for radius:

[tex]\rightarrow \sf \pi r^2h =V[/tex]

[tex]\rightarrow \sf (3.14) r^2(91) =1,481,276.16[/tex]

[tex]\rightarrow \sf r^2 =\dfrac{1,481,276.16 }{91(3.14)}[/tex]

[tex]\rightarrow \sf r^2 =5184[/tex]

[tex]\rightarrow \sf r=\sqrt{5184}[/tex]

[tex]\rightarrow \sf r=72[/tex]

Simplify this question

Answers

Step-by-step explanation:

9x²/3x + 12x/3x + 1

= 3x/1 + 4/1 + 1

= 3x + 5

I hope this is true..

9x^2 +6x+6x+1
3x(3x+2) +6x +1

Answer = 3x +2+6x+1
=9x +3 or 3(3x+1)

Line segment xy is tangent to circle z at point u. circle z is shown. line segment u v is a secant. line segment x y is a tangent and intersects the circle at point u. the measure of arc u v is 84 degrees. if the measure of arc u v is 84°, what is the measure of angle y u v? 42° 84° 96° 168°

Answers

Based on the calculations, the measure of angle YUV is equal to 42°.

What is a line segment?

A line segment refers to a part of a line that is bounded by two (2) distinct points and it has a fixed length.

Based on the information given, we can deduce the following:

O is center of circle (∠YUO  = 90°)The measure of arc UV is 84° (∠UOV = 84°)OU is equal to OV and equal to radius (∠OVU = ∠OUV)

From triangle UOV, we have:

∠OUV + ∠OUV + ∠UOV  = 180°

2OUV + 84 = 180

2OUV = 180 - 84

2OUV  = 96

OUV  = 96/2

OUV  = 48°

Now, we can determine the measure of angle YUV:

∠YUV = ∠YUO - ∠OUV

∠YUV = 90 - 48

∠YUV = 42°.

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Answer:

42

Step-by-step explanation:

Find the distance between y=7 and y=-1

Answers

Answer:

Er I think it’s 8 but not sure

Step-by-step explanation:

Find the surface area of the square pyramid.
A) 35 ft^2
B) 30 ft^2
C) 45 ft^2
D) 20 ft^2

Answers

Area of base

side²5²25ft²

Area of one triangle side

1/2(2)(5)=5ft²

Area of 4 sides

5(4)=20ft²

TSA

20+25=45ft²

Answer:

C)  45 ft²

Step-by-step explanation:

Formulae

Area of a square = x²  (where x is the side length)

Area of a triangle = 1/2 × base × height

The surface area of a square pyramid comprises:

square base4 congruent triangles

⇒ area of square base = 5² = 25 ft²

⇒ area of triangular face = 1/2 × 5 × 2 = 5 ft²

⇒ Total surface area = area of square base + 4 triangular areas

                                   = 25 + 4(5)

                                   = 25 + 20

                                   = 45 ft²


John bought 4 pounds of hot dogs for his party.
How many ounces of hot dogs did John buy?

Answers

Answer:

64 Ounces

Step-by-step explanation:

64 Ounces of hot dogs

Answer:

64 oz

Step-by-step explanation:

1 lb = 16 oz

4 × 1 lb = 4 × 16 oz = 64 oz

#8 HELP IM STUCK ON THIS

Answers

Answer:

12 ft

Step-by-step explanation:

for the model is 1 and the actual is 5

conversion yards to feet

3 feet = 1 yard

20 * 3 = 60

60/5 = 12

your answers 12 ft

hope this helps:)

Identify the terms, coefficients, and constants in the expression 20x+13.

Answers

Answer: coeficient is 20 and the constant which is 13

Step-by-step explanation:

What is the volume of a rectangular sandbox that is 3 feet by 4 feet by 1 foot?

13 ft 3
8 ft 3
12 ft 3
7 ft 3

Answers

Answer:

Volume = 12 ft^3

Step-by-step explanation:

Vol = length×width×height

= 3×4×1

= 12

The volume is 12 cubic feet.

it would be 12ft3 because 3x4x1= 12!

What is the quotient? startfraction 2 y squared minus 6 y minus 20 over 4 y 12 endfraction divided by startfraction y squared 5 y 6 over 3 y squared 18 y 27 endfraction startfraction 2 over 3 (y minus 5) endfraction startfraction 3 (y minus 5) over 2 endfraction startfraction (y minus 5) (y 2) squared over 6 (y 3) squared endfraction startfraction 3 (y 5) (y minus 2) over 2 (y 2) endfraction

Answers

The quotient of two fractions, (2y² - 6y - 20)/(4y + 12) and (y² + 5y + 6)/(3y² + 18y + 27), is: 3(y - 5)/2

What is a Quotient?

Quotient can be described as the result you get from dividing a term by another term.

Let's find the quotient of (2y² - 6y - 20)/(4y + 12) and (y² + 5y + 6)/(3y² + 18y + 27)

Quotient = (2y² - 6y - 20)/(4y + 12) ÷ (y² + 5y + 6)/(3y² + 18y + 27)

Change the division sign to multiplication sign and turn the second fraction upside down

(2y² - 6y - 20)/(4y + 12) × (3y² + 18y + 27)/(y² + 5y + 6)

Bringing out the common terms, we would have:

2(y² - 3y - 10)/4(y + 3) × 3(y² + 6y + 9)/(y² + 5y + 6)

Factorize

2(y - 5)(y + 2)/4(y + 3) × 3(y + 3)(y + 3)/(y + 3)(y + 2)

Cancel out common factors

= 3(y - 5)/2

Quotient = 3(y - 5)/2

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Answer:b

Step-by-step explanation:

lol

sin(-17pi/6)

How do I solve this

Answers

Answer:

if you have a graphing calculator you can just plug the whole equasion in. the anser I got was -0.1547307191

Step-by-step explanation:

to get pie you have to hit second and then ^

You are told that in a sample of size 225 the mean is 48.5 and the standard deviation is 1.8. the study is reported with 90% confidence level. explain how to determine if 48.8 is within the confidence interval.

Answers

Using the t-distribution, it is found that the 90% confidence interval is (48.3, 48.7), hence 48.8 is not within the interval.

What is a t-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.

The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 225 - 1 = 224 df, is t = 1.6517.

The other parameters are given as follows:

[tex]\overline{x} = 48.5, s = 1.8, n = 225[/tex].

Hence the bounds of the interval are given by:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 48.5 - 1.6517\frac{1.8}{\sqrt{225}} = 48.3[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 48.5 + 1.6517\frac{1.8}{\sqrt{225}} = 48.7[/tex]

The 90% confidence interval is (48.3, 48.7), hence 48.8 is not within the interval.

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Which of these describes how the function is increasing and decreasing?

Answers

Answer:

increasing from -2 to +∞

Step-by-step explanation:

The graph starts at -2 and continues to the right which means it increases from -2.

Answer:

Increasing from -2 to positive infinity.

Step-by-step explanation: This is because this is the graph of the square root of x + 2. It will increase from -2 in the x range and eventually hit every single x value from -2 to positive infinity.

its wrong someone help me with it

Answers

Answer:

the answer is π^8

Step-by-step explanation:

the math program has got some bugs in it. See your teacher and tell him or her about it

Can someone solve this please

Answers

Answer:

4x + 5x = 180

9x = 180

x = 180/9

x = 180 ÷ 9

x = 20

Bob bikes to work 8 miles each day. The trip takes him 0.5 hours. If Bob bikes at a constant rate, what is his biking speed? A. 5 mph B. 8 mph C. 16 mph D. 40 mph

Answers

Given the distance covered and the time elapsed, if the bike is at a constant rate, the speed of Bob's bikes is 16 mph.

Option C) is the correct answer.

What is Speed?

Speed is simply referred to as distance traveled per unit time.

Mathematically, Speed = Distance ÷ time.

Given the data in the question;

Distance covered d = 8milesTime elapsed t = 0.5hrsSpeed of the bike S = ?

Speed = Distance ÷ time

Speed = 8miles / 0.5hrs

Speed = 16 mph

Therefore, Given the distance covered and the time elapsed, if the bike is at a constant rate, the speed of Bob's bikes is 16 mph.

Option C) is the correct answer.

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i need some help with this

Answers

Answer:

x + y = 4

substitute (-A, 2B) in the equation.

-A + 2B = 4

substitute (3A-2, 3-B) in the equation

3A-2 + 3-B = 4

Use elimination method and hence multiply the first substituted equation by 3

-3A + 6B = 12

3A-2 + 3-B = 4

-2 + 3 + 5B = 16

5B = 15

B = 3

Substitute value of B in any of the equations

and hence A = 2

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