Simplify the expression 5^3 x 5^-5

A. 5^2
B. 1/5
C. 1/5^2
D. -52

Answers

Answer 1

[tex] {5}^{3} \: \times \: {5}^{ - 5} [/tex]

We first compute the product.

[tex] {5}^{ - 2} [/tex]

We can transform the product into positive if we use this formula:

[tex] \boxed{ {a}^{ - n} \: = \: \frac{1}{ {a}^{n} } }[/tex]

We apply it:

[tex] {5}^{ - 2} \: = \: \boxed{ \bold{\frac{1}{ {5}^{2} } }}[/tex]

Answer:

[tex]\text{Option C.} \: \boxed{ \bold{\frac{1}{ {5}^{2} } }}[/tex]

MissSpanish

Related Questions

Find the missing base of the triangle when the area is 94.5cm2

Answers

Answer:

this is your answer

hope it will help you

Which line is parallel to the line that passes through the points (1, 7) and (-3, 4)?
A. y= -3/4x-5

B. y= 3/4x+1

C. y=4/3x-8

D. y= 11/4x+3

Answers

Answer:

B

Step-by-step explanation:

The slope of the line that passes through the given points is (4-7)/(-3-1) = 3/4.

Since parallel lines have equivalent slopes, the answer is B.

geometry please help me !

Answers

Answer:

64

Step-by-step explanation:

This is a kite. Kite's diagonals are perpendicular. Since they are perpendicular, they form a 90° at where the two diagonals intersect.

The sum of all degrees for a triangle is 180. 180 - 90 - 26 = 64

Use the law of cosines to solve for the measure of the largest angle in triangle abc.

Answers

The law used for determining the measure of unknown sides and angles of a triangle. The measure of the largest angle in triangle abc is 98.25 degrees

Law of cosines

The law used for determining the measure of unknown sides and angles of a triangle. It is expressed as:

c² = a² + b² - 2abcosC

Given the following

c = 16

a = 12

b = 9

Substitute

16² = 12² + 9² - 2(9)(12)cosC

256 = 144 + 81 - 216cosC

31 = -216cosC

cosC = -31/216

C = 98.25 degrees

Hence the measure of the largest angle in triangle abc is 98.25 degrees

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What is the solution to the system of equations graphed below?

(0, 4)
(3, 1)
(1, 3)
(4, 0)

Answers

Answer:

  (c)  (1, 3)

Step-by-step explanation:

The solution to the system of equations shown on the graph is the point where the lines intersect.

__

The coordinates of the point of where the lines cross are (1, 3).

The solution to the system of equations is (x, y) = (1, 3).

Geometry: Solve for x

Answers

Answer:

[tex]4\sqrt{3}[/tex]

Step-by-step explanation:

Since <PDA is right, the vertical angle, <BDC is right as well. Using sum of angles in a triangle, the angles in triangle BDC sum to 180, and for solving for <DCB, you get 30 degrees.

The line connecting the intersection of the tangents to the radius bisects the angle formed by the tangents; therefore, m<PCA is also 30 degrees.

A radius drawn to the point of tangency is perpendicular to the tangent, so <PAC is a right triangle. We can use sum of angles in a triangle for triangle PAC. Since <PCA is 30 and <PAC is right, <DPA is 60 degrees.

Now, we can look at triangle DPA, using sum of angles in a triangle, we can conclude triangle DPA is a 30-60-90 special right triangle. The leg opposite the 60 degree angle is √3 times the leg opposite the thirty degree angle. Since <DPA is 60 degrees and <PAD is 30:

[tex]DP\sqrt{3} = 6\\DP = \frac{6}{\sqrt{3} } \\DP = \frac{6}{\sqrt{3} } \times \frac{\sqrt{3} }{\sqrt{3} } \\DP = \frac{6\sqrt{3} }{3} \\DP = 2\sqrt{3}[/tex]

Also, in a 30-60-90, the hypotenuse is twice the leg opposite the 30 degree angle, so x is 2 * 2√3. or [tex]4\sqrt{3}[/tex].

Which statements are true for the functions g(x) = x2 and h(x) = –x2 ? Check all that apply.

For any value of x, g(x) will always be greater than h(x).
For any value of x, h(x) will always be greater than g(x).
g(x) > h(x) for x = -1.
g(x) < h(x) for x = 3.
For positive values of x, g(x) > h(x).
For negative values of x, g(x) > h(x).

Answers

Using translation concepts, it is found that the correct statements are given as follows:

g(x) > h(x) for x = -1.For positive values of x, g(x) > h(x).For negative values of x, g(x) > h(x).

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the functions are:

g(x) = x².h(x) = -x².

h(x) = -x² = -g(x), which means that h(x) is a reflection of g(x) over the x-axis. Since [tex]g(x) \geq 0[/tex] for all values of x, [tex]h(x) \leq 0[/tex] for all values of x, which means that they are equal at the origin and g is greater for other values of x, hence the correct statements are:

g(x) > h(x) for x = -1.For positive values of x, g(x) > h(x).For negative values of x, g(x) > h(x).

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Find the median and mean of the data set below:
11,48,6,25,31

Answers

Answer:

mean 24.2

median 25

Step-by-step explanation:

6 11 25 31 48

Solve 5ax + 6 ax = 7ax+ 8 for x. Assume a # 0. O A. x = = B. x = 2a ( C. 2 = D. x = a n​

Answers

5ax+6ax=7ax+8

5ax+6ax-7ax=8

4ax=8

x= 8/4a

x=2a

i need help. due today

Answers

X = 19.

Explanation:

This expression is vertical from the angle 135, meaning it is congruent. With that being said, we would need to find what 7 multiplies by to give us 2 less than 135, which would be 133. Because 133 divided by 7 equals 19, x = 19. If we plug this in, we get the following equation: 7(19) + 2 = 135.

Answer:

19

Step-by-step explanation:

7x +2 = 135. Vertically opposite angles

7x=133

x=19

The volume of this cone is 3,183.96 cubic meters. What is the height of this cone?

Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

height = 18m

Step-by-step explanation:

cone volume = 3183.96 m³

1/3 πr²h = 3183.96

1/3×3.14×13×13×h = 3183.96

h = 3183.96×3/13×13×3.14

h = 9551.88/530.66

h = 18

What is the value of d in the equation?

1 and three-fourths d = 14

Answers

Answer:

hope you can understand

x/4+3y/5=1 into gradient interception form

Answers

Answer:

Write in slope-intercept form,

y

=

m

x

+

b

.

y

=

5

3

x

20

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=-5/12x+5/3

The ratio of legs to dogs in the cat shelter was 4 to 1. If there were 8 cats , then how many cats were there?

Answers

Answer:

if there were 8 cats then theres 8 cats, or 32 dogs

Step-by-step explanation:

grades are do today please help

Answers

Answer:

length of PR is [tex]4\sqrt{5}[/tex]

Is an isosceles triangle

because PQ is congruent to QR

Step-by-step explanation:

Calculate length of P(-6,0) R(2,4)

=> apply distance formula

[tex]\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

[tex]\sqrt{\left(2-\left(-6\right)\right)^2+\left(4-0\right)^2}[/tex]

[tex]4\sqrt{5}[/tex]

Calculate length of P(-6,0) Q(-3,4)

[tex]\sqrt{\left(-3-\left(-6\right)\right)^2+\left(4-0\right)^2}[/tex]

= 5

5(PQ) = 5(QR)

Drag each tile to the correct box.
Match each equation with its solution.





Equation
Solution

arrowRight

arrowRight

arrowRight

arrowRight

Answers

The correct match of each tile of the equation with its solution is:

n - 13 = - 12 →→→ 1n/5 = -1/5  →→→ -1n + 15 = - 10 →→→ -25

How do we match each tile to the correct box?

To match each tile to the correct box, we have to solve the arithmetic operations in the box, then drag the correct tile that matches our answer into the box.

From the image attached below;

1.

n - 13 = - 12

Let us add (+13) to both sides to eliminate (-13), i.e.

n - 13 + 13 = - 12 + 13

n = 1

2.

n/5 = -1/5  

multiply both side by 5

n/5 × (5) = -1/5 × (5)

n = -1

3.

n + 15 = - 10

n +15 - 15 = - 10 - 15

n = -25

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Match each function formula with the corresponding transformation of the parent function Y equals( X -1)^2

Answers

Step-by-step explanation:

1. translated down by 3 units.

2. reflected over the x-axis

3. translated left by 4 units : (x-1 + 4)

4. translated right by one unit : (x-1 - 1)

5. reflected over the y-axis (but it is really a translation to the left by 2 units : x-1 + 2).

6. translated up by 1 unit

For ten school days, the numbers of bikes parked at a school bike rack are 10, 12, 8, 11, 13, 9, 2, 1, 9, and 12​.


a. What is the mean number of bikes per day? [already answered]
b. Identify two outliers for the data. Describe how the outliers affect the mean.


"the numbers, Mason, what do they mean??"

Answers

The mean number is 8.7 and the outliers 1 and 2 reduce the mean value

How to determine the mean number?

The dataset is given as:

10, 12, 8, 11, 13, 9, 2, 1, 9, and 12​.

The mean number is calculated using:

Mean = Sum/Count

So, we have:

Mean = (10+ 12+ 8+ 11+ 13+ 9+ 2+ 1+ 9+12​)/10

Evaluate

Mean = 8.7

Hence, the mean number is 8.7

The outlier and how it affects the mean

Outliers are relatively far from other data elements of the dataset

In the given dataset, 1 and 2 are far from other data element.

So, the outliers are 1 and 2

Because 1 and 2 smaller than other data elements, they affect the mean by reducing the mean value

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Answer:87/10 is the answer because there are no tens

Step-by-step explanation:

Which graph represents the inequality y − 2x ≤ 1?


graph A


graph B


graph C


graph D

four graphs related to the answer options

Answers

The graph (A) in the picture represents the solution to the inequality, option (A) is correct.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

The options are missing.

The graph is in the picture, please refer to the picture.

We have an inequality:

y − 2x ≤ 1

The above inequality represents a straight line with a positive slope.

The right side region of the line is representing the solution to the inequality.

Graph (A) represents the inequality.

Thus, the graph (A) in the picture represents the solution to the inequality, option (A) is correct.

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help pls i need it really fast

Answers

Answer:19 for first answer. Second answer is subtract 16 from both sides

Step-by-step explanation:76/4 first answer

A restaurant's seating is completely full. There
are some four-person tables and 8 tables withcouples. If there are 56 people here, how many
four-person tables are there?

Answers

If there are 8 tables with couples, that would cover 16 out of 56 people, which means that 40 people total are sitting at four-person tables. Since we now know that 40 people are sitting at four-person tables, and we can obviously tell that four people sit at a four-person table, we can divid 40 by 4 to find that there are 10 four-person tables.

Final answer: 10 four-person tables.

73 in = 0ft 0qt
ixl question help please

Answers

Answer:

6 ft 1 in

Step-by-step explanation:

if you divide 73in by 12 you get 6ft 1in

NEED HELP ASAP!!!!

A flavored drink is made using a mixture of a powder drink mix and water, with ratio of powder to water that is 3:2 based on weight. If 20 g of the powdered mix is needed for a certain amount of the flavored drink, how much water will be needed?

Answers

Answer:

[tex]13.\overline 3[/tex]

Step-by-step explanation:

We can use proportions to find the amount of water needed

Let [tex]x[/tex] be the amount of water needed

[tex]\frac{3}{2} = \frac{20}{x}[/tex] (with the ratio being 3 powder to 2 water)

Now we can cross multiply and solve for [tex]x[/tex]

[tex]3(x) = 20(2)\\3x = 40\\x = \frac{40}{3}\\ x = \boxed{13.\overline3}[/tex]

You will need [tex]13.\overline3[/tex] grams of water to make the flavored drink.

lolllll helppppp it’s probably simple buttttt

Answers

.72 is the stock worth

Bella can rake the leaves in 3 hours and Jordan can complete the same task in 4 hours. If they work together, how long will it take Bella and Jordan to rake the leaves? Round your answer to the nearest hundredth of an hour.

Answers

Using the together rate, it is found that it will take 1.71 hours for Bella and Jordan to rake the leaves.

What is the together rate?

It is the sum of each separate rate.

In this problem, the rates are given as follows:

Together: 1/x.Bella's: 1/3.Jordan's: 1/4.

Hence:

[tex]\frac{1}{x} = \frac{1}{3} + \frac{1}{4}[/tex]

[tex]\frac{1}{x} = \frac{4 + 3}{12}[/tex]

[tex]x = \frac{12}{7}[/tex]

x = 1.71.

It will take 1.71 hours for Bella and Jordan to rake the leaves.

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4951 to the nearest 1000​

Answers

Answer:

5000

makes the best sense

Which statement is true about the net and the solid it can form?


The length of side a will be 5 m.
The length of side b will be 2 m.
The length of side c will be 7 m.
The length of side c will be 2 m.

Answers

The length of side c will be 2 m.


Type the correct answer in each box. Round the vector's magnitude to the nearest tenth.
Vector u has its initial point at (14,-6) and its terminal point at (-4, 7). Write the component form of u and find its magnitude.

Answers

Component form of u is (-18,13) and The magnitude of u is 22.2

What is a vector?

A vector is a two-dimensional entity with both magnitude and direction. A vector can be visualized geometrically as a directed line segment.

The component form of a vector is an ordered pair that describes the change in x and y values

This is mathematically expressed as (Δx, Δy) where Δx=x₂-x₁ and Δy=y₂-y₁

Given ;

Initial points of the vector as (14,-6)

The terminal point of the vector is (-4,7)

Here x₁=14,x₂=-4, y₁=-6,y₂=7

The component form of the vector u is (-4-14,7--6) =(-18,13)

Finding the Magnitude of the vector

u=√(x₂-x₁)²+(y₂-y₁)²

u=√-18²+13²

u=√324+169

u=√493

u=22.2

Therefore the Component form of u is (-18,13) and The magnitude of u is 22.2

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fractions and decimals
(just the simplest fractions, but if i did anything wrong on the greatest common factor, correct that please & thank you)

Answers

Answer:

All the GCFs look good!  Here's the simplified fractions:

Step-by-step explanation:

1. 2/3

2. 3/4

3. 3/7

4. 3/16

5. 27/29

6. 4/11

7. 2/11

Simply divide the numerator by the GCF to find the simplified numerator, and the denominator by that same GCF to find the simplified denominator!

Please answer quickly!!

Answers

Answer:

B is true

C is false

D is false

Step-by-step explanation:

- B is true because two negative numbers are added together, the outcome is negative hence always less than 0

- C is false due to needing a negative number add to -1.5 to be less, a positive only makes the number greater

- D is false since you are adding 0.9 (9/10), anything less than this will m ake the sum be greater than 0

example: - 0.5 + 0.9 = 0.4 or - 0.8 + 0.9 = 0.1

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