convert the expression below to exponential form please!

Answer:

[tex]\displaystyle 5b^{-4}[/tex]

Step-by-step explanation:

[tex]\displaystyle 5b^{-4} = (-5a^4b^{-7})(-a^{-4}b^3) \\ \\ \frac{5}{b^4} = 5b^{-4}[/tex]

According to the Negative Exponential Rule [part II], you bring the denominator to the numerator WHILE ALTERING THE INTEGER SYMBOL FROM POSITIVE TO NEGATIVE:

[tex]\displaystyle b^{-n} = \frac{1}{b^n}[/tex]

I am joyous to assist you anytime.

Answer:

Step-by-step explanation:

2x - y = 5         subtract 2x from both sides

2x - 2x - y = -2x + 5

-y = -2x + 5          change the signs

y = 2x - 5

The width of rectangle is 9 units.

Step-by-step explanation:

Given,

Width of rectangle = w

Length of rectangle = l = w - 6

Area of rectangle = A = 27 units

[tex]Area\ of\ rectangle=\l*w\\27=(w-6)(w)\\27=w^2-6w\\0=w^2-6w-27\\w^2-6w-27=0\\w^2+3w-9w-27=0\\w(w+3)-9(w+3)=0\\(w+3)(w-9)=0\\[/tex]

Either,

w+3=0     =>w= -3

Or,

w-9=0      =>w=9

As width cannot be negative, therefore,

Width = 9 units

The width of rectangle is 9 units.

Keywords: rectangle, area

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Answer: not a right triangle

Step-by-step explanation:

if it is a right triangle the pyth. theorem must stand

12^2+12^2 does not equal 15^2

so it is not a right triangle

The solution of (2.3 x 10^3) + (6.9 x 10^3)​ is [tex]9.2 \times 10^3[/tex] that is 9200

Need to solve the following expression:

[tex]\left(2.3 \times 10^{3}\right)+\left(6.9 \times 10^{3}\right)[/tex]

There are two terms in given expression

Let’s find GCF for this two terms  

The greatest number that is a factor of two (or more) other numbers. When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor.

[tex]\begin{array}{l}{2.3 \times 10^{3}=2.3 \times 10^{3}} \\\\ {6.9 \times 10^{3}=3 \times 2.3 \times 10^{3}}\end{array}[/tex]

[tex]\text {So GCF between two terms is } 2.3 \times 10^{3}[/tex]

Let’s bring GCF out of the bracket in expression for sake of simplicity.

[tex]\begin{array}{l}{=>2.3 \times 10^{3}(1+3)} \\\\ {=>2.3 \times 10^{3} \times 4} \\\\ {=>9.2 \times 10^{3}} \\\\ {=>9200}\end{array}[/tex]

Hence on solving the expression (2.3 x 10^3) + (6.9 x 10^3) the result we get is [tex]9.2 \times 10^3[/tex] that is 9200

Answer:

400

Step-by-step explanation:

There exists exactly one parallel line that can be drawn through a given point not on the original line. This line will have the same slope but a different y-intercept as the original line.

The answer to your question, 'Through a given point not on a line, there exists exactly one ___ to the given line' is Parallel Line.

In geometry, a line is said to be parallel to another if they are at the same plane and they never intersect, no matter how far they are extended. This principle also applies to lines on the graph of a linear equation such as y = a + bx which represents a straight line.

For example, assume we have a line graph that uses x and y as its axes where y = 3x + 9. Now let's say there's a point on the graph that is not on this line. You can draw exactly one line through this point that would be parallel to the original line of y = 3x + 9. This line would have the same slope as the first line, but a different y-intercept, and thus, would never intersect the original line.

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Answer:

63 Inches.

Step-by-step explanation:

2 yards - 9 inches is equal to 1.75 yards and when converted to inches, equals 63 inches.

Answer:

63 inches

Step-by-step explanation:

2 yards - 9 inches = 1.75 yards and when converted is 63 inches

The total amount petra has to pay after 1 year is $ 209

The equation used is: Total amount to pay back = Amount Borrowed + Amount of Interest

Given that,

Petra borrowed $ 200 for 1 year with simple interest rate 4.5 %

We are asked to find the amount that petra has to pay back after 1 year

Total to Pay Back = Amount Borrowed + Amount of Interest

Let us first calculate the amount of interest Petra has to pay for 1 year

Given that simple interest rate = 4.5%

The simple interest is given as:

[tex]\text { simple interest }=\frac{\text { principal } \times \text {rate} \text { of interest } \times \text { number of years }}{100}[/tex]

[tex]\text { simple interest }=\frac{200 \times 4.5 \times 1}{100}=2 \times 4.5=9[/tex]

Thus the amount of interest = $ 9

Total to Pay Back = Amount Borrowed + Amount of Interest

Total to Pay Back = 200 + 9 = 209

Thus the total amount petra has to pay after 1 year is $ 209

Answer: 8% of 525 is 42

Step-by-step explanation:

Answer:

Step-by-step explanation:

a good way to find 8% is find 1% and multiply it by 8 (5.25 * 8 = 42)

another way would be to simply multiply 525 by 0.08 (525 * 0.08 = 42)

either way, the answer is 42

Step-by-step explanation:

radius =diameter÷2

r=5.7÷2=2.85

let pi=x (since there is no symbol for pi on the phone )

Circumference =2xr

Circumference =2x×2.85=5.7x (5.7pi)

The  circumference of the circle whose diameter is 5.7 cm is 5.7π cm.

The circumference is the distance around the boundary of a closed curve or geometric figure.

In the context of a circle, the circumference is the length of the boundary that encloses the circular shape.

It is calculated using the formula:

Circumference = 2 π r = 2d

Given: diameter of the circle is 5.7 cm

Substitute d= 5.7 cm into the formula:

C = π * 5.7 cm

Thus, the circumference is 5.7π cm.

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In the figure, Blueline is Line AB and Redline is target line.

You can see that the target line does not pass through (18,-8)

Step-by-step explanation:

In the figure, Blueline is Line AB and Redline is target line.

You can see that the target line does not pass through (18,-8)

Taking a bottom-left corner of the graph as (0,0)

Given Line AB,

Point A is located as (4,9)

Point B is located as (16,1)

The slope of AB is

[tex]=\frac{Y1-Y2}{X1-X2}[/tex]

[tex]=\frac{9-1}{4-16}[/tex]

[tex]=\frac{8}{-12}[/tex]

[tex]=\frac{-2}{3}[/tex]

The question says "  Draw a line passes through C(13,12) and parallel to Line AB "

Now, Let the equation of the target line is y=mx + c

Where m=slope and c is the y-intercept

The target line is parallel to the line AB

The slope of the Target line = The slope of the Line AB [tex]=\frac{-2}{3}[/tex]

m=[tex]=\frac{-2}{3}[/tex]

We can write, the equation of the target line is

[tex]y=\frac{-2}{3}x + c[/tex]

Also, the Target line is passing through C(13,12)

Point C satisfies the equation

[tex]y=\frac{-2}{3}x + c[/tex]

[tex]12=\frac{-2}{3}13 + c[/tex]

[tex]12=\frac{-26}{3} + c[/tex]

[tex]12+\frac{26}{3}=c[/tex]

[tex]c= 12+\frac{26}{3}[/tex]

[tex]c= \frac{62}{3}[/tex]

Replacing the value

the equation of the target line is

[tex]y=\frac{-2}{3}x + c[/tex]

[tex]y=\frac{-2}{3}x +  \frac{62}{3} [/tex]

[tex]3y= -2x + 62 [/tex]

It is also asked that if a line is extended , would it passes through the (18,-8)?

If a line passes through the point (18-,8) then, that point must satisfy the equation of a line

the equation of the target line is  [tex]3y= -2x + 62 [/tex]

[tex]3(-8)= -2(18) + 62 [/tex]

[tex](-24)= (-36) + 62 [/tex]

[tex](-24)= (-36) + 62 [/tex]

[tex](-24)= 26 [/tex]

Left land side is not equal to right hand side.

Therefore. a line does not pass through the point (18,-8)

Answer:

The slope of line that contain the points ( - 0.5 , 4 ) and has y- intercept of - 5 is -18

Step-by-step explanation:

Given as :

The points that satisfy the line is ( - 0.5 , 4 )

The y - intercept = - 5

The equation of line is

y = m x + c

Where m is the slope of line

∵ For y- intercept , c = - 5

Now, points on the line is ( - 0.5 , 4 ) and y  intercept c = - 5 is

y = m x + c

or,  4 = m × ( - 0. 5 ) + ( - 5 )

Or, 4 = - 0. 5 m - 5

or, 4 + 5 = - 0.5 m

Or, 9 = - 0. 5 m

∴ m = [tex]\frac{-9}{0.5}[/tex]

So, Slope = m = - 18

Hence the slope of line that contain the points ( - 0.5 , 4 ) and has y- intercept of - 5 is -18   Answer

Final answer:

The slope of a line that contains the point (-0.5, 4) and has a y-intercept of -5 is -18. This is calculated using the slope formula, resulting in a negative slope.

Explanation:

To find the slope of a line with a given point and a y-intercept, we can use the slope formula slope = (y2 - y1) / (x2 - x1), where (x1, y1) is the given point and (x2, y2) is the y-intercept point. Since the y-intercept is at a point where x = 0, the second point is (0, -5).

The given point is (-0.5, 4), so after substituting into the slope formula we get: slope = (-5 - 4) / (0 - (-0.5)) = (-9) / (0.5) = -18. The slope of the line is -18, indicating a negative slope meaning the line will move downwards on the graph as the x-value increases.

Answer:

AAS

Step-by-step explanation:

Answer:

Step-by-step explanation:

The system of linear equations have:

one solution, infinitely many solutions or no solution.

One solution if the lines intersect.

Infinitely many solutions if the lines are the same (overlap)

There is no solution if the lines are parallel (they do not have a common point).

In the graph, two lines intersect. Therefore, the system of equations has one solution (0, 3).

Step-by-step explanation:

Given that [tex]F(x)=x^{2}[/tex] and [tex]G(x)=\frac{2}{3}x^{2}[/tex]

[tex]F(x)[/tex] is always positive because [tex]x^{2}[/tex] is always positive.

[tex]G(x)[/tex] is always positive because [tex]\frac{2}{3}x^{2}[/tex] is always positive.

So,both are always positive.

So,there is no flipping over x-axis.

In [tex]F(x)[/tex],the height of a point at [tex]x_{0}[/tex] is [tex]x_{0}^{2}[/tex]

In [tex]G(x)[/tex],the height of a point at [tex]x_{0}[/tex] is [tex]\frac{2}{3}x_{0}^{2}[/tex]

So,height of any point has less height in [tex]G(x)[/tex] than [tex]F(x)[/tex]

So,the graph of [tex]G(x)[/tex] is the graph of [tex]F(x)[/tex] compressed vertically.

Answer:

C.

Step-by-step explanation:

Answer:

Which is equal to 0.0865 hectometers?

86.5 millimeters

865 millimeters

8,650 millimeters

86,500 millimeters

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use the distributive property:

a(b + c) = ab + ac

5(x + 9) = (5)(x) + (5)(9) = 5x + 45

Answer:

45

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

Amount of money Brain has is 11.84 after his shopping trip.

Step-by-step explanation:

Given:

cost of books = 15.99 each

Cost of 2 books = [tex]15.99\times 2 = 31.98[/tex]

Cost for DVD = 19.95

Cost of Magazine = 2.50

Money he gets return back for jacket = 42.59

Solution:

We will first find the total amount used for shopping.

Total Shopping done =  Cost of 2 books + Cost for DVD + Cost of Magazine = [tex]31.98+19.95+2.50= 54.43[/tex]

Now we will find the amount left after shopping which will be equal to the total amount used for shopping minus money he got in return for jacket.

Now net amount Left after shopping = Total Shopping done - Money he gets return back for jacket = [tex]54..43-42.59 =11.84[/tex]

Hence amount of money Brain has is 11.84 after his shopping trip.

Answer:

Mr. Winking 87.9%

Ms. Sand 88.55%

Ms. Sand's class is better

Step-by-step explanation:

Step 1: Average in Mr. Winking's Class 87.9%

Convert each weight factor to a decimal.

Homework 10% = 0.1

Quiz 25% = 0.25

Test 45% = 0.45

Exam 20% = 0.2

Multiply your grades by the weight factors:

Homework 0.1 X 95% = 9.5%

Quiz 0.25 X 85% = 21.25%

Test 0.45 X 87% = 39.15%

Exam 0.2 X 90% = 18%

Add all of these values:

9.5% + 21.25% + 39.15% + 18%

= 87.9%

Step 2: Average in Ms. Sand’s Class 88.55%

Convert each weight factor to a decimal.

Homework 15% = 0.15

Quiz 20% = 0.2

Test 40% = 0.4

Exam 25% = 0.25

Multiply the weight factors by your grades:

Homework 0.15 X 95% = 14.25

Quiz 0.2 X 85% = 17

Test 0.4 X 87% = 34.8

Exam 0.25 X 90% = 22.5

All all these values:

14.25 + 17 + 34.8 + 22.5

= 88.55%

Step 3:

I would rather be in Ms. Sand's class. My average in her class would be 88.55%, whereas in Mr.Winking's Class, my average would be 87.9%. 88.55% is a higher mark than 87.9% and I want higher marks. Therefore, I would get higher marks in Ms. Sand's class.

Answer:

-1/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(0-(-3))/(-5-1)

m=(0+3)/(-6)

m=3/-6

simplify

m=-1/2

The equation to represent Juan's pay is P = 2300 + 90N. If he sells 21 copies of the book, his total pay would be $4190.

Pay Calculation

Given that Juan's base salary is $2300 and he makes an additional $90 for every copy of Math is Fun he sells, we can write an equation relating P (total pay) to N (number of sales) by adding together his base pay and his earnings from selling the books. This can be written as P = 2300 + 90N. We can then use this equation to calculate Juan's total pay if he sells 21 copies of the Math is Fun book. By substituting N = 21 into our equation, we get P = 2300 + 90*21, which simplifies to P = 2300 + 1890 = $4190. So, if Juan sells 21 copies of Math is Fun, his total pay would be $4190.

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Answer:

NO

 To purchase 10 used video games and 3 new video games you need $166.With $150 is not enough

Step-by-step explanation:

7(10) + 32(3)    =

70+96= 166

You can purchase 12 used and 2 new And you will have $2 left

7(12) +2(32) = 148

84+62=148

You cannot purchase 10 used video games and 3 new video games because their total cost of $166 exceeds your budget of $150.

Given inequality: 7x + 32y = 150

Substitute x = 10 and y = 3 into the inequality:

=7(10) + 32(3)

=70 + 96 = 166

Compare with the budget:

166 > 150

Hence, 7(10) + 32(3) = 166

Thus, 66 > 150

Answer:

B.

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

Let x be the initial number. Initially, this number was 100%.

After an increase of 40%, it became 420 and 100% + 40% = 140% in percent.

So,

x - 100%

420 - 140%

Write a proportion:

[tex]\dfrac{x}{420}=\dfrac{100\%}{140\%}[/tex]

Cross multiply:

[tex]140\cdot x=420\cdot 100\\ \\140x=42,000\\ \\14x=4,200\\ \\x=\dfrac{4,200}{14}=\dfrac{600}{2}=300[/tex]

Answer:

Just going to create this answer so the other person can get brainliest.

Step-by-step explanation:

:) :D <3

Answer:

12.1

Step-by-step explanation:

76/2π

= 38/π

= 12

Answer: 12.1 ft

Step-by-step explanation:

Hi, to answer this we have to apply the circumference formula:

C= 2πr

Where:

C = circumference ( in this case is 76, since the dog can walk a distance of about 76 feet along the circumference.)

r = radius. (In this case the radius is the length of the rope, because the stake is in the center of the circumference)

Replacing with the values given and solving for "r":

76 = 2πr

76 /( 2π)= 12.0957= 12.1 ft

There are no solution of System of equations

We have to given that,

System of equations are,

x+5y=4

3x+15y=-1

Now, We can use substitution method as,

x+5y=4  .(i)

3x+15y=-1  .. (ii)

From (i);

x = 4 - 5y

Put above value in (ii);

3 (4 - 5y) + 15y = - 1

12 - 15y + 15y = - 1

12 = - 1

Which is not possible.

Hence, There are no solution of System of equations

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Answer:

2 baskets

Step-by-step explanation:

so basically find LCM(least common multiple) of 88, 60 and 54. prime factor 88 to get 2^3, and 11, 60 for 2^2, 3, 5 and 54 for 3^3, 2. we then find the numbers that are in all of them which is only two, once