The inverse of the logarithmic function f(x) = log0.5x is f−1(x) = 0.5x. what values of a, b, and c complete the table for the inverse function? x −2 −1 0 1 2 y 4 a b 0.5 c a = b = c =

Answer:

the line of best fit is the line that you would draw in the middle of a scatter plot to try and have the line best represent the scatter plot with the scatter plots angle and direction. this image is an example of one: (ignore the numbers) the line is a best fit line.

Step-by-step explanation:

mr clean

Answer:

$85,000

Step-by-step explanation:

Given that, the annual salary of the governor of New York was $179,000.

Let $y be the annual salary of the governor of Tennesse during the same year.

As the annual salary of the governor of Tennessee was $94,000 less than the annual salary of the governor of New York.

So, the annual salary of the governor of Tennesse,

[tex]y=179000-94000[/tex]

[tex]\Rightarrow y=85000[/tex]

Hence, the annual salary of the governor of Tennesse during the same year was $85,000.

Answer:

A' = (-1, 6)

B' = (-2, 1).

C' = (-5, 2).

Step-by-step explanation:

Reflection  over the y-axis--->  (a, b) transforms to (-a, b).

So  A (1, 6) --->   A' (-1, 6).

Answer:

2 quarts= 4 pints

Step-by-step explanation:

multiply the volume value by 2

Answer:

Yes

Step-by-step explanation:

It helps you to understand the equation easily

HOPE IT HELPED

Answer:

A small slushee has 12 ounces.

A medium 29 ounces.

And a large 72 ounces.

Step-by-step explanation:

Let s represent the size of the small slushee, m the medium slushee, and l the large slushee.

We know that the medium slushee has 17 more ounces than the small slushee. So:

[tex]m=s+17[/tex]

We also know that the large slushee l has 6 times as many ounces than the small slushee. Therefore:

[tex]l=6s[/tex]

Finally, we know that there are a total of 113 ounces in the small, medium, and large drinks combined. So:

[tex]s+m+l=113[/tex]

We can solve this triple system of equations using substitution. Let's substitute l for 6s and m for (s+17). This yields:

[tex]s+(s+17)+(6s)=113[/tex]

Combine like terms:

[tex]8s+17=113[/tex]

Subtract 17 from both sides:

[tex]8s=96[/tex]

Divide both sides by 8:

[tex]s=12\text{ oz}[/tex]

So, the small slushee is 12 ounces.

So, the medium slushee is [tex]12+17=29\text{ oz}[/tex]

And the large slushee is [tex]6(12)=72\text{ oz}[/tex]

And we're done!

Answer:

2y^2-5y+8

Step-by-step explanation:

that the answer :)

Answer:

2y2−5y+ 8

Step-by-step explanation:

The number of years it will take the person to leave the money in the bank until it reaches 13200 dollars is 2.9 years.

To calculate the time the person must leave the money in the bank until the money reaches 13200 dollars, we use the formula of compound interest below.

This is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1 and solve for n

Hence, The number of years it will take the person to leave the money in the bank until it reaches 13200 dollars is 2.9 years.

Learn more about compound interest here: brainly.com/question/18456266

Both plans cost the same when 50 texts are sent

Step-by-step explanation:

Let

x ---->the number of texts

y ----> the total cost in dollars

we know that

The linear equation in slope intercept form is equal to

where

m is the slope or unit rate

b is the y-intercept or initial value

we have that

Emilia’s plan (Red line)

The slope is

The y-intercept is

substitute

----> equation A

Hiroto’s plan (Blue line)

The slope is

The y-intercept is

substitute

----> equation B

The solution of the system of equations A and B is the point of intersection both graphs

The intersection point is given

The intersection point is (50,22.5)

That means----> For x=50 texts, the cost is equal in both plans

Verify each statement

case a) Hiroto’s plan costs more than Emilia’s plan when more than 50 texts are sent

The statement is false

Because

Emilia’s plan costs more than Hiroto’s plan when more than 50 texts are sent

Verify

For x=100 texts ----> 100 > 50

Emilia's plans

Hiroto's plans

case b) Both plans cost the same when 22 texts are sent

The statement is false

Because

Both plans cost the same when 50 texts are sent

case c) Emilia’s plan costs more than Hiroto’s plan when more than 22 texts are sent.

The statement is false

Because

Emilia’s plan costs more than Hiroto’s plan when more than 50 texts are sent

case d) Both plans cost the same when 50 texts are sent

The statement is true

Answer:

Both plans cost the same when 50 texts are sent.

Step-by-step explanation: Took test edge 2020: D

Answer:

1333.33

Step-by-step explanation:

125 + .18x = 85 + .21x

 40 = .03x

x = 1333.33

Answer:

3 eggs

Step-by-step explanation:

For 12 cupcakes, 2eggs are required.

For 18 cupcakes, 3 eggs are required.

[Use multiplication table of 6, 6*2=12 and 6*3=18]

Answer:   7:3 is the ratio of the problem

Step-by-step explanation:

Answer:

3xy-15 thats the simplified form

The total amount accrued, principal plus interest, with compound interest on a principal of $2,000.00 at a rate of 8% per year compounded 1 times per year over 10 years is $4,317.85.

Given Data

Initial Amount = $2000

Annual interest rate = 8%

Time = 10 years

A = P + I where

P (principal) = $2,000.00

I (interest) = $2,317.85

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 8/100

r = 0.08 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 2,000.00(1 + 0.08/1)(1)(10)

A = 2,000.00(1 + 0.08)(10)

A = $4,317.85

Learn more about compound interest here:

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= 10 (u + 9)

= 10 x u + 10 x 9

= 10u + 90

Answer:

175[tex]mm^{2}[/tex]

Step-by-step explanation:

Just divide the larger one by 7 because the scaled one is 1/7 the size of the larger one:

1225 ÷ 7 = 175

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Answer:

175

Step-by-step explanation:

Answer:

Step-by-step explanation:

width=2200m

length=1.25km

=1250m

perimeter of rectangle= 2(l+b)

=2(2200+1250)

=2×3450

=6900m

or 6.90km

Answer:

A mango costs $4.68, a coke costs $1.56 and a taco costs $4.25

Step-by-step explanation:

Given

Represent Tacos with T, Coke with C and Mango with M

For Grace:

[tex]2T + C + M = 14.74[/tex] --- (1)

For Mia:

[tex]5T + 2C + M = 29.05[/tex] -- (2)

[tex]M = 3C[/tex]

Required

Determine the cost of each item

Substitute 3C for M in (1) & (2)

[tex]2T + C + M = 14.74[/tex]

[tex]2T + C + 3C = 14.74[/tex]

[tex]2T + 4C = 14.74[/tex] --- (4)

[tex]5T + 2C + M = 29.05[/tex]

[tex]5T + 2C + 3C = 29.05[/tex]

[tex]5T + 5C = 29.05[/tex] --- (5)

Divide through (5) by 5

[tex]T + C = 5.81[/tex]

Solve for C

[tex]C= 5.81 - T[/tex]

Substitute 5.81 - T for C in (4)

[tex]2T + 4C = 14.74[/tex]

[tex]2T + 4(5.81 - T) = 14.74[/tex]

[tex]2T + 23.24 - 4T = 14.74[/tex]

Collect Like Terms

[tex]2T - 4T = 14.74 - 23.24[/tex]

[tex]-2T= -8.5[/tex]

Solve for T

[tex]T = -8.5/-2[/tex]

[tex]T = 4.25[/tex]

Recall that:

[tex]C= 5.81 - T[/tex]

[tex]C = 5.81 - 4.25[/tex]

[tex]C = 1.56[/tex]

Recall that

[tex]M = 3C[/tex]

[tex]M = 3 * 1.56[/tex]

[tex]M = 4.68[/tex]

Hence:

A mango costs $4.68, a coke costs $1.56 and a taco costs $4.25

Answer:

  y = -1/8(x -1)² +4

Step-by-step explanation:

The equation of a parabola can be written from focus and directrix using the form ...

  y = 1/(4p)(x -h)² +k

where p is the distance from vertex to focus, and (h, k) is the vertex.

The vertex-focus distance is half the distance from the directrix to the focus. Here, that is ...

  p = (2 -6)/2 = -4/2 = -2

The vertex is halfway between the focus and directrix on the same vertical line, so has coordinates ...

  (h, k) = ((1, 2) +(1, 6))/2 = (1, 4)

__

Using these values of p and (h, k), we find the equation of the parabola to be ...

  y = 1/(4(-2))(x -1)² +4

  y = -1/8(x -1)² +4

_____

Additional comment

You can check the graph by considering the definition of a parabola: each point on the curve is equidistant from the focus and the directrix. This is easily verified for points on the horizontal and vertical lines through the focus. For example, point (5, 2) is 4 units from the focus, and 4 units from the directrix.

Answer:

y=-1/8(x-1)^2 +4

Step-by-step explanation:

Answer:

( -1/2) ^5

Step-by-step explanation:

We know that a^b* a^c = a^(b+c)

( -1/2) ^ 3 * ( -1/2) ^2

( -1/2) ^ (3+2)

( -1/2) ^5

Answer:

[tex]{\huge{\pink{\underline{\underline{Solution:}}}}}[/tex]

[tex] {( \frac{ - 1}{2}) }^{3} × {( \frac{ - 1}{2}) }^{2} \\

=>{( \frac{ - 1}{2}) }^{(3+2)}\\

=>{( \frac{ - 1}{2}) }^{5}\\

=> \frac{ - 1}{2} \times \frac{ - 1}{2} \times \frac{ - 1}{2} \times \frac{ - 1}{2} \times \frac{ - 1}{2} \\

=> \frac{ - 1}{32} [/tex]

[tex]{\huge{\pink{\underline{\underline{Formula\ used:}}}}}[/tex]

Answer:

the answer is 1.713 x 106

Step-by-step explanation:

Answer: 52 is 13% of 400

Hope this helps!

Answer:

Step-by-step explanation:

the answer is 400

To solve this problem you multiply 52 by 100 and then divide the total by 13 as follows: (52 x 100) / 13

"FG = 14 is the answer

The two angles, <FDG and <DGF, and the non-included side, DF in ∆FDG re equal to the corresponding two angles, <EDF and <DEF, and non-included side, DF in ∆EDF. Therefore, both triangles are congruent by AAS.

This implies that:

n + 9 = 4n - 6

Collect like terms

n - 4n = -9 - 6

-3n = -15

Divide both sides by -3

n = -15/-3

n = 5

✔️FG = 4n - 6

Plug in the value of n

FG = 4(5) - 6

FG = 20 - 6 = 14"

Answer:

lets just say a is 1 and b is 2 after adding them 3 which means c will form and after 3 four will come which means d

a + b = c because the sum of the measure of angle a and angle b is equal to the measure of angle c.

A triangle is a closed plane figure formed by joining three noncolinear points. According to side property, there are three types of triangles isosceles triangles, equilateral triangles, and scalene triangles.

We know the measure of an exterior angle of a triangle is the sum of the two opposite interior angles of the given triangle.

As we can observe from the given diagram that ∠a, ∠b and ∠c are the interior angles of the given triangle ABC, and ∠d is the exterior angle which is opposite to ∠a and ∠b.

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B. Could possibly be true

Because, who knows? They could be, but they may not be.

Answer:

Step-by-step explanation: Your adding 2. So 1 + 2= 3, 3 + 4 =7, 7 + 8=15, 15 + 16=31. You see my point. My wording is off.