Evaluate each expression for the given value of x
2x for x=3

Using laws of indices, we can easily find the values of expressions below.

To solve this given problem, we have to apply different laws of indices.

12.

[tex](x^4 * x^-8)^3 = x^-^1^2=\frac{1}{x^1^2}[/tex]

13.

[tex](a^5b^2)^-^3* (a^-^2)^-^3 = \frac{1}{a^9b^6}[/tex]

14.

[tex]\frac{(m^-^3n^-^4)^8}{(m^2n^5)^-^7}=\frac{n^3}{m^1^0}[/tex]

15.

[tex]\frac{(p^-^2^0^0q^1^7^0)^-^3^0}{(p^4^0q^5^0)^9^0} =\frac{p^2^4^0^0}{q^9^6^0^0}[/tex]

16.

[tex]\frac{[(x^2y^8)^-^1]^3*(y^-^1^2)^6}{(x^-4y^5)^2*x^6(y^-^1)^3}=\frac{1}{x^4y^1^0^3}[/tex]

17.

[tex]\frac{(2m^-^7n^8)^6}{4m^9n^-^5)^-^3}*\frac{(8m^-5n)^6}{(2mn^3)^-5} = \frac{134217728n^7^4}{m^7^6}[/tex]

From the above calculation, we can solve the respective given expression using indices.

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Answer:

I think its 93

Applying the midpoint formula, the endpoints for the midsegment are (-0.5, 0.5) and (-5/2, -7/2).

The midsegment of a trapezoid is the line segment that intersects the two legs of the trapezoid at their midpoints.

Hence, to find the endpoint for the midsegment of the other leg of the trapezoid, apply the midpoint formula, M[(x2 + x1)/2, (y2 + y1)/2].

Find the midpoint between A(-2, -5) and B(-3, -2):

A(-2, -5) = (x1, y1)

B(-3, -2) = (x2, y2)

Plug in the values

M[(-3 + (-2))/2, (-2 + (-5))/2]

M(-5/2, -7/2)

Therefore, using the midpoint formula, the endpoints for the midsegment are (-0.5, 0.5) and (-5/2, -7/2).

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Answer:

-2.5,-3.5

Step-by-step explanation:

The rational number that can be used to represent the number of points needed for Abraham to get an A will be 1.5.

It should be noted that a rational number is the number that can be written as a fraction. It can be while numbers and decimals have well.

Therefore, since Abraham needs one-half of a point to get an A– in Math, the rational number that can be used to represent the number of points needed for Abraham to get an A willbe 1.5.

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Answer:

8q + 32 that is the answer to the problem using the distributive property

Given:

Solution in Exact Form:

Hope this helps!

Using scientific notation, the total kilowatt-hours of electricity used during these two years is:

(6.03 x 10^9) + (4.3 x 10^11) = (0.0603 x 10^11) + (4.3 x 10^11) = 4.3603 x 10^11

A number in scientific notation is given by:

[tex]a \times 10^b[/tex]

With the base being [tex]a \in [1, 10)[/tex].

For two numbers in scientific notation to be added or subtracted, they need to have the same exponent.

Thus, the first amount has to have an exponent of 10^11, meaning that the exponent has to be added by 2 = equivalent to addition by 100, and to compensate the base has to be divided by 100, hence:

(6.03 x 10^9) + (4.3 x 10^11) = (0.0603 x 10^11) + (4.3 x 10^11) = 4.3603 x 10^11

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Answer:

180= (2x-24 )+ (x+5)

180= 3x-21

+21         +21

201=3x

/3      /3

67=x

Based on the alternate exterior angles theorem, the equation is: 15x - 3 = 14x + 2

The value of x = 5.

The angles, (15x - 3) and (14x + 2) are alternate exterior angles. Based on the alternate exterior angles theorem/postulate, they are congruent to each other.

Thus, the equation to create in solving for the value of x would be:

15x - 3 = 14x + 2

Subtract 14x from both sides of the equation

15x - 3 - 14x = 14x + 2 - 14x [subtraction property of equality]

x - 3 = 2

Add 3 to both sides

x - 3 + 3 = 2 + 3 [addition property of equality]

x = 5

In summary, based on the alternate exterior angles theorem, the equation is: 15x - 3 = 14x + 2

The value of x = 5.

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Answer:

I did number 11 and 13 for you and gave an explanation, I hope this helped, if you need more help just comment and let me know, have a great day! <3

Step-by-step explanation:

If the equation is addition like number 11, all you have to do is subtract 1.7 from the solution; which is 4.98. It will look like this:

4.98 - 1.7 = 3.28

if the equation is subtraction like number 13, then you have to add 6.55 with the solution, which is 2.45, it will look like this:

6.55 + 2.45 = 9

Answer:

-3

Step-by-step explanation:

yes the expressions are equivalent to each other.

as,

A=-5+y, B=-5+y, C=y-5

Answer: Total temperature = -6.66ºF

Step-by-step explanation:

Given data,

First temperature = 1.3ºF

Second temperature = -2.8ºF

Fest = 10.000

So,

We can write,

                      1.3º x + (-2.8º) x = 10.000

                          x (1.3º - 2.8º) = 10.000

                            x (-1.5º) = 10.000

                               x = 10.000/-1.5º

                               x = -6.66ºF

Therefore,

          Total temperature = -6.66ºF

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1. The slope-intercept equation of the line is: y = x - 3.

2. The equation of the line in standard form is: -1/5x + y = 5

3. The equation in point-slope form is: y + 7 = 14(x + 2)

4. The value of x ≈ 5.94

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

There are three ways too write the equation of a line, they include:

1. find the slope (m) of the line that passes through (8, 5) and (7, 4):

Slope (m) = (5 - 4)/(8 - 7)

Slope (m) = 1/1

Slope (m) = 1

Substitute m = 1 and (a, b) = (8, 5) into y - b = m(x - a):

y - 5 = 1(x - 8)

y - 5 = x - 8

y = x - 8 + 5

y = x - 3

The slope-intercept equation is: y = x - 3.

2. The slope of perpendicular lines are negative reciprocals, therefore, the slope of the line perpendicular to the line that has a slope of -5 would be, m = 1/5.

Substitute m = 1/5 and (a, b) = (-15, 2) into y - b = m(x - a):

y - 2 = 1/5(x - (-15))

y - 2 = 1/5(x + 15)

y - 2 = 1/5x + 3

y = 1/5x + 3 + 2

y = 1/5x + 5

-1/5x + y = 5 [standard form]

3. Parallel lines have the same slope. The slope of y = 14x - 3 is 14. The line that is parallel to y = 14x -3 would also be, m = 14.

Substitute m = 14 and (a, b) = (-2, -7) into y - b = m(x - a):

y - (-7) = 14(x - (-2))

y + 7 = 14(x + 2) [point-slope equation]

4. y = kx

1.4 = k3.2

1.4/3.2 = k

The equation would be: y = 1.4/3.2x

Substitute y = 2.6 to find x:

2.6 = 1.4/3.2x

(2.6)(3.2) = 1.4x

8.32 = 1.4x

8.32/1.4 = x

5.94 ≈ x

x ≈ 5.94

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The area of the rectangle with a base of 5ft and a height of 2 inches is: 120 square inches.

The area of a rectangle is the product of the length of its base and its height.

Area of rectangle = (base)(height)

Given the parameters:

Length of the base of the rectangle = 5 ft

[Note: 1 ft = 12 inches]

Convert 5 feet to inches

5 feet = (5)(12) = 60 inches

Height of the rectangle = 2 inches

Substitute

Area of the rectangle = (60)(2)

Area of the rectangle = 120 square inches

In conclusion, the area of the rectangle with a base of 5ft and a height of 2 inches is: 120 square inches.

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Answer:

4|−12| = 48 dollars.

Step-by-step explanation:

The question asks for the total decrease after 4 weeks. Since there is no such thing as negative weeks, A and C are disqualified. Since D is simply wrong math (-4x12=-48), it is also wrong.

Answer:

-a²,a, a²,2a²,a³,2ab

Step-by-step explanation:

-------

According to the question, the logarithmic function can be simplified with the help of the concept of indices as well as logarithmic laws.

Expression = [tex]log_{3} \sqrt[n]{9x}[/tex]

Using logarithmic laws, it can be written as:

Expression = [tex]log_{3} \sqrt[n]{9x}= log_{3} 3\sqrt[n]{x}=log_{3}3 +log_{3}x^{1/2}[/tex]

                       [tex]1+\frac{1}{2}log_{3}x[/tex]

Therefore, the final answer of the given logarithmic function is:[tex]1+\frac{1}{2}log_{3}x[/tex]

What is logarithmic function?

In terms of mathematics, the logarithmic function can be defined as the inverse of exponential function. It is always on the positive side of the ordinate axis.

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The relationship is proportional because, the points lie on a straight line that goes through the origin.

A relationship that is proportional has a straight line graph that must pass through the origin, whereby the constant of proportionality, k = y/x, where x and y are the variables of the proportional relationship.

An example of a graph that represents a proportional graph is shown in the attachment below. The graph is a straight line graph that passes through (0, 0), which is the origin. The constant of proportionality, k = 21/7 = 3.

Thus, for the relationship between time spent swimming and the number of weeks to be proportional, it means that:

the points lie on a straight line that goes through the origin.

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Answer:

1/2

Step-by-step explanation:

1. LCD = 10

2. [tex]-\frac{1}{5} * \frac{2}{2} + \frac{7}{10}[/tex]

3.[tex]-\frac{2}{10} + \frac{7}{10}[/tex]

4. [tex]-\frac{2+7}{10}[/tex]

5. 5/10

6. Simplify : 1/2

Hope this helps!
--Blu

Answer:

log₇(xy/z)

Step-by-step explanation:

We know that

[tex]\log_ax = b \implies a^b = x[/tex]

we also know that:

[tex]a^b \cdot a^c = a^{b + c}[/tex]

so it follows that

[tex]\log_ax + log_ay = log_a(xy)[/tex]

from:

[tex]\frac{a^b}{a^c} = a^{b - c}[/tex]

follows that

[tex]\log_ax - log_ay = log_a(\frac{x}{y})[/tex]

so

[tex]\log_7x + \log_7y - \log_7z = \log_7(xy) - \log_7z = \log_7(\frac{xy}{z})[/tex]

Answer:

Segment VU (or u can say UV)

Step-by-step explanation:

A line segment has two endpoints. It contains these endpoints and all the points of the line between them. You can measure the length of a segment, but not of a line.

Answer:

x = 120°

Step-by-step explanation:

Since s and t are parallel and are on a supplementary line, that means that the interior angle and the exterior angle (60°) will equal 180° (supplementary)

So to find the angle of x, you have to minus 60 from 180, and you get x, which is 120°

I hope this helps! :)

Answer:

504 ways fr

Step-by-step explanation:

I just answered something very similar to this haha, but the sum of all exterior angles, regardless of the polygon's sides is always equal to 360 degrees, so our sum is 360°

Answer:

10g+15

Step-by-step explanation:

5x2g=10g

5x3=15

From unitary method calculations, we have found that the large jar is the best value for money because a penny buys more honey.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We need to determine which has the best value for money using the quantity a pound can purchase.  

So, first for the large jar.

£4.10 will be purchase 540g of honey then,

£1.00 will be purchase xg

Then cross multiplying for x will be;

x = 1.00 (540g )/4.10

x = 131.7g

Hence for the large jar a penny will buy 131.7g of honey.

Now second for the small jar

£2.81 will be purchase 360g of honey then,

£1.00 will purchase xg

Now cross multiplying

x = 1.00 (360g )/ 2.81

x = 128.1g  

Hence for the small jar a penny will buy 128.1g of honey.

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The frequency of the red light is 4.6 × 10⁵ Hz

From the question, we are to determine the frequency of the red light with the given wavelength

From the given information,

Wavelength = 650 nm

c = 3.0 × 10⁸ m/s

From the formula,

c = fλ

∴ f = c/λ

Where c is the speed of light

f is the frequency

λ is the wavelength

Thus,

f = 3.0 × 10⁸/650

f = 4.6 × 10⁵ Hz

Hence, the frequency of the red light is 4.6 × 10⁵ Hz

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Answer:

81?

Step-by-step explanation:

-

frac

5

4

t

= -4 ×

5

×

xt =

frac

(5

4

t)=-4

x 5 x x t

→ -

9×9

=

81

Answer:

No, for various value of x the number of tickets sold by me and my friend for the fundraiser can vary but will always remain in the ratio of 11:5.

Step-by-step explanation:

It is given that for a fundraiser, the ratio of tickets you sold to tickets your friend sold was 11:5.

Let us look at the ratio of tickets sold by both the persons.

Now, according to the condition given and the ratio mentioned in the question;

The number of tickets sold by me for the fundraiser be = 11x

and

The number of tickets sold by my friend for the fundraiser be = 5x

It is observed that total number of tickets sold by me and my friend are;

=> 11x + 5x

So, it is inferred that the number of tickets sold by me and my friend are not 11 and 5 respectively and can vary upon the value of x.

For instance, if the value of x = 2 than;

=> 11x + 5x

=> 11 × 2 + 5 × 2

=> 22 + 10

=> 32 tickets

Therefore,

No, for various value of x the number of tickets sold by me and my friend for the fundraiser can vary but will always remain in the ratio of 11:5.

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Answer: 5

Step-by-step explanation: