Which of the following expressions is equivalent to the one shown below?

Which Of The Following Expressions Is Equivalent To The One Shown Below?

Answers

Answer 1

Answer:

A (7^6)

Step-by-step explanation:

Step 1: Find the property of 7^13/7^7

b^m/b^n=b^m-n

Therefore, when the numerator and denominator are the same number, the powers can be subtracted to simplify the answer.

Step 2: Apply the property to the question

7^13/7^7 = 7^13-7

=7^6

Hence, option A is the correct answer.

!!

Answer 2

Answer:

The equivalent expression is [tex]7^{6}[/tex] ⇒ answer A

Step-by-step explanation:

* Lets revise some rules of the exponents

- In the exponential functions we have some rules

# In multiplication if we have same base then add the power

  b^m  ×  b^n  =  b^(m + n)  

- Ex: [tex]5^{11}*5^{4}=5^{11+4}=5^{15}[/tex]

# In division if we have same base we subtract the power

  b^m  ÷  b^n =  b^(m – n)

- Ex: [tex]\frac{3^{10}}{3^{4}}=3^{10-4}=3^{6}[/tex]

* Now lets solve the problem

- There is the expression [tex]\frac{7^{13}}{7^{7}}[/tex]

- We have base 7 up and down

∵ In division if we have same base we subtract the power

∵ The base up is 7 and the base down is 7

- We will subtract the powers

∴ [tex]\frac{7^{13}}{7^{7}}=7^{13-7}=7^{6}[/tex]

∴ The answer is [tex]7^{6}[/tex]

* The equivalent expression is [tex]7^{6}[/tex]


Related Questions

Find the value of y. Round the answer to the nearest tenth, if needed. A. 8 B. 14.7 C. 21.3 D. 27

Answers

D is the answer I just took the test

PLEASE IGNORE THIS I MISREAD THE QUESTION AND AM NOT SURE HOW TO REMOVE MY ANSWER.

Answer:

D. 28

Step-by-step explanation:

ED2021

A frog (with webbed feet for sticking to a vertical surface) falls into a 6 ft deep hole with vertical sides. As the frog tries to escape, it is able to jump up 3 ft on a jump, but then slides back down 2 ft before it can jump again. If this continues, how many jumps will it take the frog to reach the top of the hole?

Answers

Answer:

4

Step-by-step explanation:

Assuming that the frog is consistent with its performance, the correct answer can be calculated. It can be noticed that the ability to jump upwards is 3 feet and the sliding back down is 2 feet. This means that the gain is greater than the loss. The net gain is 1 foot for each jump. This will continue until the distance of 6 feet has been achieved. It will be: 3 ft - 2 ft = 1 ft (1 jump); 1 ft + 3 ft - 2 ft = 2 ft (2 jumps); 2 ft + 3 ft - 2 ft = 3 ft (3 jumps). At the end of the 3 jumps, the frog has already covered the distance of 3 feet. This means that when the frog jumps from this height, it will achieve the height of 6 feet, by which it will get out of the hole. This means that the frog requires 4 jumps to get out of the tunnel.

Describe the relationship between the variables .

Answers

Answer:

B) As the age increases, the height increases.

Step-by-step explanation:

There is a clear trend that is shown with a positive slope. That means that the the variables, here, the age and the height, are directly proportionate to each other. That means our answer is B or D.

Another note is that in a situation like this, the y-variable is dependent on the x-variable. So, here, that means that the height depends on the age. So, the answer is B, since in a sentence structure like so indicates that the second variable is dependent on the first.

Answer: the answer is b

Step-by-step explanation:

can you rate me good

Determine the value of X

Answers

Answer:

The value of x is 15 ⇒ answer D

Step-by-step explanation:

* Lets talk about dilation

- A dilation is a transformation that changes the size of a figure.  

- It can become larger or smaller, but the shape of the

 figure does not change.  

- The scale factor, measures how much larger or smaller  

  the image will be

- If the scale factor greater than 1, then the image will be larger

- If the scale factor between 0 and 1, then the image will be smaller

- If the scale factor is negative then the figure will reflected

* Now lets solve the problem

∵ D (o, k) (x , 9) → (-10 , -6)

- D means dilation

- o means the center of dilation is the origin

- k means the scale factor of dilation

∵ The y-coordinate of the point is 9

∵ The image has y-coordinate -6

∵ The image = The scale factor × the coordinates

∴ -6 = k × 9 ⇒ divide both sides by 9

∴ k = -6/9 = -2/3

- Lets find x by same way

∵ -10 = -2/3 × x ⇒ divide both sides by -2/3

∴ x = -10 ÷ (-2/3) ⇒ change the division to multiplication

∴ x = -10 × (-3/2) = 30/2 = 15

∴ The x-coordinate of the point before dilation is 15

* The value of x is 15

At a certain store, apples are packed in equal quantities. Mary bought 3 packs of apples and she checked that she got a total of 45 apples. If Sam bought 7 packs of apples from the same store, how many apples did he get?

Answers

Answer:

315 apples

Step-by-step explanation:

45 divided by 3 = 15 then time's that by 7

Line l passes through the points (1, 3) and (2, 5), and
line m passes through point (1, 4) and has a slope of 1.
If lines l and m intersect at point (a, b), then what is the
value of a – b ?

Answers

Answer:

-3

Step-by-step explanation:

I'm going to find both equations first.

Slope for line l can be found by doing

 (1  ,  3)

- (2 ,  5)

-------------

  -1      -2          so slope is -2/-1 or just 2

y=mx+b is a linear equation with slope m and y-intercept b

y=2x+b  now we need b

3=2(1)+b  plug in a point on the line

3=2+b

so b=1

The equation for line l is y=2x+1

The other equation line m has the slope given which is 1 so this equation will be of the form y=1x+b

to find this b (this y-intercept) use the point that you know is on the line

4=1(1)+b  

so b=3

so line m is y=1x+3 or y=x+3

So we want to find when y=2x+1 and y=x+3 intersect

Replace first y with the 2nd y which is x+3

x+3=2x+1

subtract x on both sides

  3= x+1

subract 1 on both sides

 2=x

 x=2

y=2x+1

y=2(2)+1

y=4+1

y=5

So the intersection is (2,5)

So a=2 and b=5

a-b =2-5=-3

Lines l and m intersect at point (2, 5)

The equation of a straight line is given by:

y = mx + b;

where y,x are variables, m is the slope of the line and b is the y intercept.

Line l passes through the points (1, 3) and (2, 5), hence its equation is:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1 )\\\\y-3=\frac{5-3}{2-1}(x-1)\\\\y-3=2x-2\\\\2x-y=-1[/tex]

2x - y = -1    (1)

Line m passes through point (1, 4) and has a slope of 1, hence:

[tex]y-y_1=m(x-x_1)\\\\y-4=1(x-1)\\\\x-y=-3[/tex]

x - y = -3     (2)

To determine point (a, b) we solve equation 1 and 2 simultaneously to get:

x = 2, y = 5

Hence lines l and m intersect at point (2, 5)

Find out more at: Find out more at:: https://brainly.com/question/16588670.

What relation describes a function?
(Picture included)

Answers

Answer:

Choice B

Step-by-step explanation:

For a function to be a function, one of the easiest ways to tell is if an x-value has more than one y-value, because then it wouldn't pass the Vertical Line Test

But for choices A, C, and D, each x-value has 2 different y-values, failing the test

Out of the given options, the relation that describes a Functions is B) {(-2, −3), (-3, −2), (2, 3), (3, 2)}, as in this set, each x-value is only paired once with a unique y-value.

In the context of functions in Mathematics, a function is a relation where every domain (input) has exactly one unique range (output).

Looking at these four relations, the relation that describes a function would be B) {(-2, −3), (-3, −2), (2, 3), (3, 2)} because each x-value is paired with a unique y-value.

In other words, no x-value has more than one corresponding y-value.

For example, -2 is only paired with -3, -3 is only paired with -2, 2 is only paired with 3 - all unique pairs.

This is the definition of a function.

The other options (A, C, and D) all have x-values that are paired with more than one y-value, which violates the definition of a function.

Learn more about Functions here:

https://brainly.com/question/35114770

#SPJ2


Colin and Brian were playing darts. Colin scored 36. Brian scored 35 more than Colin. What was their combined score?

Answers

Answer:

71

Step-by-step explanation:

Answer: 107

Step-by-step explanation:

Hi, to answer this we have to write an equation for  Colin's score (C) and another equation for Brian's score (B).

Colin scored 36

C =36

Brian scored 35 more than Colin.

B = C +35

Replacing C by 36 in Brian's score equation:

B = (36) +35 = 71

To calculate the combined score we have to add both scores:

C +B = 36 +71 = 107

find the percent error of the measurement 4cm​

Answers

Answer:

The percent error is 12.5%.

Step-by-step explanation:

Please mark brainliest and have a great day!

Answer:

The answer is 12.5%

Hope this helps

-Amelia The Unknown

What is the solution to this system of equations?

4x + 5y = 7

3x – 2y = –12

Answers

Answer:

x = -2 and y = 3

Step-by-step explanation:

It is given that,

4x + 5y = 7  ----(1)

3x – 2y = –12    ---(2)

To find the value of x and y

eq(1) * 3 ⇒

12x + 15y = 21   ----(3)

eq(2) * 4 ⇒

12x - 8y = -48  ---(4)

eq(3) - eq(4) ⇒

12x + 15y = 21   ----(3)

12x - 8y = -48  ---(4)

0 + 23y = 69

y = 69/23 = 3

y = 3

Substitute the value of y in eq(1)

4x + 5y = 7    ----(1)

4x + 5*3 = 7

4x = 7 - 15 = -8

x = -8/4 = -2

Therefore x = -2 and y = 3

ANSWER

x=-2,y=3

EXPLANATION

The system of equations is:

[tex]4x + 5y = 7...(1)[/tex]

and

[tex]3x - 2y = - 12...(2)[/tex]

We multiply the first equation by 2.5 to get:

[tex]7.5x - 5y = - 30...(3)[/tex]

We add equations (1) and (3)

[tex]4x+7.5x=-30+7[/tex]

[tex]11.5x = - 23[/tex]

Divide both sides by 11.5

[tex]x = - \frac{23}{11.5} [/tex]

[tex]x = - 2[/tex]

Put x=-2 into the first equation or any other equation and solve for y.

[tex]4( - 2) + 5y = 7[/tex]

[tex] - 8 + 5y = 7[/tex]

[tex]5y = 7 + 8[/tex]

[tex]5y = 15[/tex]

[tex]y = 3[/tex]

Triangle WXY is isosceles. ∠YWX and ∠YXW are the base angles. YZ bisects ∠WYX. m∠XYZ = (15x)°. m∠YXZ = (2x + 5)°. What is the measure of ∠WYX?

Answers

Step-by-step explanation:

angle YWX = angle YXW ...eqn 1

angle XYZ = angle WYX (0.5) = 15x...eqn 2

angle YXZ = angle YXW = 2x + 5...eqn 3

=> from eqn 1 and 3 we get...

angle YWX = 2x + 5 ...eqn 4

=> from eqn 2 we get

angle WYX = 2 × angle XYZ = 30x...eqn 5

a triangle has a total of 180deg,

=>angle WYX + angle YWX + angle YXW = 180deg

=> 30x + 2x +5 + 2x +5 = 180deg

=> 34x +10 =180deg

=> x = 5deg

subst x = 5deg in eqn 5, we get

angle WYX = 30 × 5 = 150deg

Answer:

D = 150 degrees

Step-by-step explanation:

Just got it correct on Edg, 2021!

What is the length of segment XY?​

Answers

Answer:

7.28 units to the nearest hundredth.

Step-by-step explanation:

Use the Pythagoras theorem.

If you examine the graph you see that the line segment is the hypotenuse of a right triangle with legs of length 2 and 7.

XY^2 = 2^2 + 7^2

XY^2 =  53

XY = √53

XY = 7.28.

Answer: Third option.

Step-by-step explanation:

You need to use the formula for calculate the distance between two points. This is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

You can observe in the graph that the coordinates of the point X and the point Y are the following:

X(-4,0) and Y(3,2)

Knowing this, you can substitute the coordinates into the formula.

You get that the lenght of the segment XY is:

 [tex]d_{(XY)}=\sqrt{(3-(-4))^2+(2-0)^2}\\\\d_{(XY)}=\sqrt{53}\ units[/tex]

This matches with the third option.

The double number line shows that Toni can type 180 words in 2 minutes.



Based on the ratio shown in the double number line, how many words can Toni type in 3
minutes

Answers

Answer:

270 words per minute

Step-by-step explanation:

It is given 180 words in 2 minutes, this means Toni can type 180/2 = 90 words per minute (90wpm).

Thus, in the same ratio/rate, Toni would be able to type:

90 * 3 = 270 words per minute.

Correct answer 270 wpm

Answer:

270

Step-by-step explanation:

hello

90 points? pleaseeee​

Answers

Answer:

y = 28 degrees

x = 28 degrees

Step-by-step explanation:

A right angle = 90 degrees

90 degrees - 62 degrees = 28 degrees

This is for both x and y because 62 degrees occupies both the right angles.

Answer:

right angles are 90 degrees

90-62=28

X=28

y=28

I hope this helps!

How to convert 5/15 into a decimal

Answers

Answer:

0.3333

Step-by-step explanation:

To get 5/15 converted to decimal, you simply divide 5 by 15.

Hope this helps!

Jonah knows that mr. Robinson needs 14 tablets for a week supply of anti-inflammatory drug mr. Robinson is going on vacation and needs 4 weeks Supply how many tablets does Jonah need to fill his prescription​

Answers

Answer:

56 tablets

Step-by-step explanation:

Jonah knows that Mr. Robinson needs 14 tablets for a week's supply of an anti-inflammatory drug.

Mr. Robinson is going on vacation and needs a 4-week supply.  

So multiplying 4 with the weekly supply will yield the required result.  

So, number of tablets Jonia needs to fill is,

=4\times 14

=56

Therefore, Jonah needs 56 tablets in order to fill his prescription

Final answer:

Jonah needs to fill Mr. Robinson's prescription with 56 tablets for a 4-week supply of the anti-inflammatory drug by multiplying the weekly need of 14 tablets by 4 weeks.

Explanation:

Jonah knows that Mr. Robinson needs 14 tablets for a week supply of an anti-inflammatory drug. Mr. Robinson is going on vacation and needs a 4 weeks supply. To calculate the total number of tablets needed for the 4-week supply, you multiply the weekly need by the number of weeks:

Determine the weekly need: 14 tablets.

Multiply the weekly need by the number of weeks: 14 tablets × 4 weeks = 56 tablets.

So, Jonah needs to fill Mr. Robinson's prescription with 56 tablets for a 4-week supply of the anti-inflammatory drug.

An object in geometry with no width, length or height is a(n):
O A. ray
O B. angle
O
c. line
O
D. point
SUBMIT

Answers

Answer: D

Step-by-step explanation:

I would say the answer is a point, points are theoretically a

zero-dimensional idea

Answer:

D. point

Step-by-step explanation:

A point is an undefined term in Geometry. It represents a position in space. It has no length, width, or height.

in parallelogram abcd angle b is a right angle determine whether the parallelogram is a rectangle if so by what property​

Answers

Answer:

If a parallelogram has at least one 90 degree angle then its opposite angle is equal and also = 90 degrees.  

The 2 remaining opposite angles add up to 180 degrees and since they must be equal, they must be 90 degrees each.

So, we have a quadrilateral with four 90 degree angles and is therefore a rectangle OR it could possibly be a square.

Step-by-step explanation:

Answer: one right angle property

SU and VT are chords that intersect at point R. What is the length of line segment VT? 4 units 8 units 13 units 14 units

Answers

Answer:

13 Units-correct on edge

Step-by-step explanation:

The length of line segment VT in which SU and VT are chords that intersect at point R is 13 units

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Using the intersecting chord theorem:

VR * RT = SR * RU

(x + 1)(x + 4) = x(x + 6)

x² + 6x = x² + 5x + 4

x = 4

VT = VR + RT = x + 1 + (x + 4) = 4 + 1 + 4 + 4 = 13 units

The length of line segment VT in which SU and VT are chords that intersect at point R is 13 units

Find out more on equation at: https://brainly.com/question/2972832

What is 3x^2-3x+2 divided by x+2

Answers

For this case, we must build a quotient that, when multiplied by the divisor, eliminates the terms of the dividend until it reaches the remainder. In this case we have to:

Remainder: 20

Quotient: 3x-9

It must be fulfilled that:

Dividend = Quotient * Divider + Remainder

Answer:

See attached image

An energy drink company claims that its product increases students' memory levels. To support its claims, the company issues advertisements claiming that 8 out of 10 people (chosen randomly from across the country) who tried their product reported improved memory. The missing component in this study is a .

Answers

The missing component is a Control Group

Answer:

Control group

Step-by-step explanation:

A control group is necessary in all experiments that require a comparison. A control group and an experimental group are both included in an experiment. These two need to be identical in every way with the exception of the fact that the experimental group will be subjected to a treatment that is believed to have a particular outcome. In this case, it is difficult to know whether the drink really has the desired effects or not, as we are not aware of the results of a control group.

if a bag contains 12 apples 4 bannans and 8 oranges what is the part whole ratio bannans to fruit

Answers

Answer:

Step-by-step explanation:

4 to 24 = 1 to 6

Answer:

4  to 24

Step-by-step explanation:

The bag in total has 24 fruit. So that means that the bag has 4 bannanas and 24 fruit in total its 4 to 24

find the midpoint of the segment between the points (8,-10) and (-10,-8)

Answers

Answer:

(-1, -9)

Step-by-step explanation:

Recall that for 2 points (x1, y1) and (x2,y2)

the midpoints are given by

x ordinate = [tex]\frac{x1+x2}{2}[/tex]

y ordinate = [tex]\frac{y1+y2}{2}[/tex]

In our case x1 = 8, y1 = -10, x2 = -10, y2=-8

x ordinate = [tex]\frac{x1+x2}{2}[/tex]  = [8 + (-10) ] / 2 = -1

y ordinate = [tex]\frac{y1+y2}{2}[/tex] = [-10 + (-8) ] / 2 = -9

hence midpoint is (-1, -9)

Answer:

The the midpoint of given line segment = (-1, -9)

Step-by-step explanation:

Points to remember

Midpoint formula

Midpoint of a line segment with end points (x₁, y₁) and (x₂, y₂) is given by,

Midpoint = [( x₁ + x₂)/2 , (y₁ + y₂)/2]

To find the midpoint of given line segment

Here (x₁, y₁) = (8, -10) and (x₂, y₂) = (-10, -8)

Midpoint = [( x₁ + x₂)/2 , (y₁ + y₂)/2]

 = [(8 + -10)/2 , (-10 + -8)/2]

 = [-2/2, -18/2]

 = (-1, -9)

Therefore the midpoint of given line segment = (-1, -9)

The cost of $500,000 worth of 20-year-term life insurance for Shanika is
$73.87 per month. If Shanika's employer covers 70% of this cost, how much is
deducted from Shanika's gross income per year for life insurance?

Answers

Answer:

$265,93 Apex confirmed

Step-by-step explanation:

Answer:

$265.932

Step-by-step explanation:

We have been given that the cost of $500,000 worth of 20-year-term life insurance for Shanika is  $73.87 per month. Shanika's employer covers 70% of this cost. We are asked to find the amount that is deducted from Shanika's gross income per year for life insurance.

Since Shanika's employer covers 70% of her life insurance, so Shanika pays 30% (100%-70%) of her life insurance.

Let us find amount paid by Shanika per month for life insurance.

[tex]\text{Amount paid by Shanika for life insurance per month}=\$73.87\times\frac{30}{100}[/tex]

[tex]\text{Amount paid by Shanika for life insurance per month}=\$73.87\times0.30[/tex]

[tex]\text{Amount paid by Shanika for life insurance per month}=\$22.161[/tex]

To find amount paid by Shanika is one year, we will multiply $22.161 by 12 as 1 year is equal to 12 months.

[tex]\text{Amount paid by Shanika for life insurance per year}=\$22.161\times 12[/tex]

[tex]\text{Amount paid by Shanika for life insurance per year}=\$265.932[/tex]

Therefore, $265.932 is deducted from Shanika's gross income per year for life insurance.

which of the following is a point-slope (-2,4) and a slope of 3 ​

Answers

Answer:

y - 4 = 3(x + 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = 3 and (a, b) = (- 2, 4), hence

y - 4 = 3(x - (- 2)), that is

y - 4 = 3(x + 2) ← in point- slope form

Figure ABCD is a parallelogram.
What are the lengths of line segments AB and BC?
A
3y - 2
B
AB = 4; BC = 16
OAB = 4; BC = 8
AB = 10; BC = 20
OAB = 10; BC = 28
2x - 4
x + 12
y + 6

Answers

First you need know that AB = DC and AD = BC.

So,

3y - 2 = y + 6

2y = 8

y = 4

AB = 3(4) - 2 = 12 - 2 = 10

2x - 4 = x + 12

x = 12 + 4

x = 16

BC = 16 + 12 = 28

So your answer is:

AB = 10; BC = 28

The lengths of line segments AB = 10 and BC = 28.

How to estimate the lengths of line segments?

The opposite sides of a parallelogram are congruent,

AB = DC,

3y - 2 = y + 6

subtract y from both sides, then we get

2y - 2 = 6

adding 2 to both sides

2y = 8

Dividing both sides by 2, then we get

y = 4

Hence AB = 3y - 2 = (3 × 4) - 2 = 12 - 2 = 10

and AD = BC, that exists

2x - 4 = x + 12

subtract x from both sides

x - 4 = 12

adding 4 to both sides

x = 16

BC = x + 12 = 16 + 12 = 28

The lengths of line segments AB = 10 and BC = 28.

Therefore, the correct answer is AB = 10 and BC = 28.

To learn more about Lengths of line segments

https://brainly.com/question/13875383

#SPJ2

Choose a system of equations with the same solution as the following system:

4x − 2y = 6
2x + y = 5

A.−4x − 2y = 10
2x − 3y = 21

B.4x + 2y = 10
10x + y = 21

C.−4x − 5y = −1
2x − 6y = 10

D.3x + 2y = 6
9x + y = 17

Answers

Answer:

[tex]\large\boxed{B. \left\{\begin{array}{ccc}4x+2y=10\\10x+y=21\end{array}\right}[/tex]

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}4x-2y=6\\2x+y=5&\text{multiply both sides by 2}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}4x-2y=6\\4x+2y=10\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad8x=16\qquad\text{divide both sides by 8}\\.\qquad x=2\\\\\text{put the value of x to the second equation:}\\\\2(2)+y=5\\4+y=5\qquad\text{subtract 4 from both sides}\\y=1[/tex]

[tex]\text{Put the value of x and y to the each equation and check the equalities:}\\\\A.\\-4x-2y=10\\-4(2)-2(1)=10\\-8-2=10\\-10=10\qquad\bold{FALSE}\\\\B.\\4x+2y=10\\4(2)+2(1)=10\\8+2=10\\10=10\qquad\bold{CORRECT}\\10x+y=21\\10(2)+1=21\\20+1=21\\21=21\qquad\bold{CORRECT}\\\\C.\\-4x-5y=-1\\-4(2)-5(1)=-1\\-8-5=-1\\-14=-1\qquad\bold{FALSE}\\\\D.\\3x+2y=6\\3(2)+2(1)=6\\6+2=6\\8=6\qquad\bold{FALSE}[/tex]

Answer:

B

Step-by-step explanation:

Solve 9x + 4 = 11 for x using the change of base formula log base b of y equals log y over log b.

Answers

Answer:

[tex]x = \frac{7}{9} [/tex]

Step-by-step explanation:

[tex]9x + 4 = 11 \\ \\ 1. \: 9x = 11 - 4 \\ 2. \: 9x = 7 \\ x = \frac{7}{9} [/tex]

Answer with explanation:

The given equation in one variable is:

→  9 x +4 =11

Subtracting 4 from both sides

→9 x +4 -4=11 -4

→ 9 x=7

Taking log on both sides

→log ( 9 x)= log 7-----log having base 10 is considered.

→ log 9  + log x= log 7

→ 0.95424 + log x= 0.8450

→ log x=0.8450 - 0.9542

→ log x= -0.1092

[tex]\rightarrow\frac{\log x}{\log 10}=-0.1092\\\\\rightarrow \log x=-0.1092 \times \log 10\\\\\rightarrow \log x=\log 10^{-0.1092}\\\\\rightarrow x=10^{-0.1092}\\\\\rightarrow x=0.77767\\\\x=0.778[/tex]

What is the length of PR?

Answers

Angle P and angle Q are the same, which means the two sides PR and QR are the same.

Set the two equations to equal and solve:

5n = 32 +n

Subtract 1n from each side:

4n = 32

Divide both sides by 4:

n = 32 / 4

n = 8

Now we have the value for n, solve for PR.

PR = 5n = 5(8) = 40

What is the inverse of the statement below?
x=y

Answers

Answer:

~x->~y

Step-by-step explanation:

Inverse of a conditional p->q is not p->not q

So inverse of x->y is ~x->~y

Answer:

The correct option is A.

Step-by-step explanation:

The given statement is

[tex]x\Rightarrow y[/tex]

We need to find the inverse of the given statement.

If a and b are two statements, then

Direct statement : [tex]a\Rightarrow b[/tex]

It means if a is true then b is true.

Inverse statement :  [tex]\sim a\Rightarrow \sim b[/tex]

It means if a is false then b is false is true.

The inverse of given statement is

[tex]\sim x\Rightarrow \sim y[/tex]

Therefore the correct option is A.

Other Questions
Lisa is a leading player on her basketball team. She has kept track of how many points she has scored over the course of the season. Her scores may be viewed in the table below. 36 20 35 13 30 14 36 11 29 19 22 40 34 17 26 21 What is the median of Lisas scores? Round to the nearest point, if necessary. a. 23 b. 24 c. 26 d. 30 Bohrs model could only explain the spectra of which type of atoms?bonded atoms with one electronbonded atoms with more than one electronsingle atoms with one electronsingle atoms with more than one electron Identify the effects of the Great Schism. France became the permanent home of the pope. People questioned the need for only one church. People believed the church was the center of their lives. The church's power and influence became weaker. The population of cities declined as people moved away from the church's influence. Which statement best identifies how the pacing in thispassage contributes to the plot?O The fast pace of the passage builds suspenseabout Boxer's decisions as a worker.The rapid listing of supplies serves asforeshadowing for what will happen to the windmill.A flashback to earlier events provides a pause inthe pacing to slow events down. The issue of shortages foreshadows that the farmwill experience difficulties in the future.THE ANSWER IS D Which of the following scenarios would prevent a population from being in Hardy-Weinberg equilibrium? A. The population will fall out of Hardy-Weinberg equilibrium if natural resources such as food are limited. B. The population mates at specific times of the year, causing the population to fall out of equilibrium at that time of year. C. The population is stable, but younger generations of the population have a different allele frequency. D. The population is evolving, and natural selection is favoring one allele over another. What brought on the end of Reconstruction?A)Civil Rights Act of 1875B)Democrats' rise to power in Congress in 1874C)Liberal Republicans' split the party in 1872D)President Hayes's removal of federal troops from the South in 1877 Based on the information in the graph, what can you conclude about humans in the world in general? Why were staff lines an important improvement to musical notationA. SL indicated rhythm B. SL indicated dynamics C. SL indicated pitchD. SL indicated meter Solve for x. x/5+ 1 = 7 x = 5 5/6x = 30x = 35 x = 40 A car is traveling at 42 mph. if its tireshave a diameter of 27 inches, how fast arethe car's tres turning? Express answerin revolutions per minute. Which statement about plant classification below is true? A. All vascular plants are angiosperms, but not all nonvascular plants are mosses. B. No nonvascular plants bear seeds, but not all vascular plants bear seeds C. Not all nonvascular plants bear seeds, but all vascular plants do bear seeds. D. Not all angiosperms produce flowers, but all gymnosperms produce cones. Ramesh borrowed money from the bank to purchase a car. In addition to paying back the borrowed funds, what else will he owe the bank ? A) Reserves B) Interest C) credit D) Principal biggest to smallest 1/8 2/3 3/5 GEOMETRY Please HELP Theres only one game mode that stars with the letter e in CS:GO. Which of the options below is it? What is the gravity force,or weight, of a 40kg child on earth? Review these words from the vocabulary table and write a sentence for each one that correctly uses the word.PLZ HELP Celery kept in the refrigerator for several days becomes limp why does this happen Find the product(2n-2)(2n^2-3n+5) Q: The acceleration of gravity means that for each second that passes, falling objects move 9.8m? A:True