If you horizontally stretch the linear parent function f(x) = x by a factor of 2, what is the equation of the new function?

A. g(x) = 1/2x
B. g(x) = x-2
C. g(x) = 2x
D. g(x) = 2-x

Answer: 530 cm^2

Step-by-step explanation:

A = 3.14 * r^2

A = 3.14 * 13 * 13

A = 3.14 * 169

A = 530 cm ^2

Answer:

Price per foot of skydive is 31.11 repeated, or 31 1/9

Step-by-step explanation:

Jesse is going on 2 jumps, which is 14000*2=28000.

Each Skydive is $400, and two jumps would be $800. Plus a $100 training fee, it would cost $900 for 2 jumps.

28000/900=31.1111 repeated.

Answer:

The right answer is 3a - 11 ≤ 7 ⇒ 4th answer

Step-by-step explanation:

* Lets study the problem

- From the figure

# The blue line started from 6 and the point is bold that means

   the inequality sign is ≤ or ≥

# The blue line started from 6 and moved to the negative numbers

   that means the inequality is less than or equal

∴ a ≤ 6

* Now lets look to the answers

- There is only one answer has the sign ≤ , the last answer

* Now lets solve it to be sure

∵ 3a - 11 ≤ 7 ⇒ add 11 to the both sides

∴ 3a ≤ 18 ⇒ divide the both sides by 3

∴ a ≤ 6

* The right answer is 3a - 11 ≤ 7

Answer: 8 2/3

Step-by-step explanation:

Answer: 3421.19

Step-by-step explanation:

look up cylinder formula and r= radius which is just the diameter cut in half

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The volume of the cylinder is 3421.1944 cm³.

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centers overlap each other to form a right cylinder.

Given the diameter of the cylinder is 22 cm, therefore, the radius of the cylinder is 11cm, Also, given the height of the cylinder is 9 cm.

The volume of the cylinder = πR² × H

                                             = π × (11cm)² × 9cm

                                             = 1089π cm³

                                             = 3421.1944 cm³

Hence, the volume of the cylinder is 3421.1944 cm³.

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Answer:

[tex]-4[/tex]

Step-by-step explanation:

The given logarithmic equation is:

[tex]\log_7(x+1)+\log_7x=\log_712[/tex]

Recall and apply product rule of logarithms.

[tex]\log_aM+\log_aN=\log_aMN[/tex]

We apply this property to the left side of the equation to get;

[tex]\log_7x(x+1)=\log_712[/tex]

We take the antilogarithm of both sides to get:

[tex]x(x+1)=12[/tex]

We expand to obtain:

[tex]x^2+x=12[/tex]

We rewrite in the standard quadratic form:

[tex]x^2+x-12=0[/tex]

We factor to obtain:

[tex](x-3)(x+4)=0[/tex]

Either [tex](x-3)=0[/tex] or [tex](x+4)=0[/tex]

Either [tex]x=3[/tex] or [tex]x=-4[/tex]

But the domain is[tex]x\:>\:0[/tex].

Hence [tex]x=-4[/tex] is an extraneous solution.

Answer:

x = -16/7

Step-by-step explanation:

The equation as written reduces to finding the solution to a 7th-degree polynomial. The one real solution, found using a graphing calculator, is ...

x ≈ 1.60945071137

_____

Since this is beyond the scope of most algebra courses, we suspect you want the solution to ...

e^(x-2) = (1/e^6)^(x+3)

x -2 = -6(x +3) . . . . . . . . take the natural log of both sides

x -2 = -6x -18 . . . . . . . . . eliminate parentheses

7x -2 = -18 . . . . . . . . . . . add 6x

7x = -16 . . . . . . . . . . . . . add 2

x = -16/7

Answer:

sandals costed $32.55

Step-by-step explanation:

Final answer:

To find the cost of the sandals, subtract the cost of the T-shirt from the total cost. The equation 8.95 + c = 41.50 leads to c = 32.55, meaning the sandals cost $32.55.

Explanation:

The question asks us to find the cost of sandals that Tina bought, given the total cost of a T-shirt and the sandals combined, and the cost of the T-shirt alone. To solve for the cost c of the sandals, we start with the equation 8.95 + c = 41.50. We then isolate c by subtracting 8.95 from both sides of the equation:

c = 41.50 - 8.95

c = 32.55

Therefore, the cost of the sandals was $32.55.

Answer:

The wide would be 7.2 cm

Step-by-step explanation:

Let

x------> the wide of the proportional wall map

we know that

Using proportion

45/27=12/x

x=27*12/45

x=7.2 cm

The total surface area for the figures aee;

1) 128 m²

2) 714 in²

1) To find the surface area, we need to find the area of each surface that makes up the object and add together.

Thus:

T.S.A = 4(4 * 4) + (4 * 4) + 4(½ * 4 * 6)

T.S.A = 128 m²

2) The total surface area here is;

T.S.A = 2(15 * 10) + 2(10 * 7) + 2(15 * 7) + 4(4 * 4)

T.S.A = 714 in²

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Answer:

d. a=1. b=2, c=3

multiply by the Reciprocal.

Answer:

D

Step-by-step explanation:

(5/8) / (3/8)

(5/8) * (8/3)

5/3

1 ⅔

a = 1, b = 2, c = 3

Answer D.

[tex]

f(4)=5\times(\frac{1}{2})^4 \\

f(4)=\frac{5\times1^4}{2^4} \\

f(4)=\boxed{\frac{5}{16}}

[/tex]

Hope this helps.

Brainliest would be great.

For this case we have a function of the form[tex]y = f (x)[/tex]

Where:

[tex]f (x) = 5 * (\frac {1} {2}) ^ x[/tex]

We must find the value of the function when x = 4, that is, f (4):

Substituting we have:

[tex]f (x) = 5 * (\frac {1} {2}) ^ 4\\f (x) = 5 * \frac {1} {2} * \frac {1} {2} * \frac {1} {2} * \frac {1} {2}\\f (x) = 5 * \frac {1} {16}\\f (x) = \frac {5} {16}\\f (x) = 0.3125[/tex]

ANswer:

[tex]f (x) = \frac {5} {16}\\f (x) = 0.3125[/tex]

First Place Vote: 4x867= 3468

Second Place Vote: 2x301= 602

Third Place Vote: 1x432= 432

3468+602+432= 4502.

Your answer is therefore D.

I hope this helps! :)

Answer:

D) 4502

Step-by-step explanation:

It is given that,

Points for first place = 4 points

Second place = 2 points

Third place = 1 point

Thus, First Place Vote : 4 × 867 = 3468

Second Place Vote: 2 × 301= 602

Third Place Vote: 1 × 432= 432

Thus, Total Points = 3468 + 602 + 432 = 4502.

Hence, last option is correct.

Answer:

the correct choice is marked

Step-by-step explanation:

The red line has intercept -3 and slope 1/3, so is ...

y = 1/3x -3

The blue line has intercept +1 and slope -1, so is ...

y = -x +1

The graph solves this system of equations, which can also be written as the single equation ...

y = y

1/3x -3 = -x +1

Answer:

The measure of angle EYL is [tex]45\°[/tex]

Step-by-step explanation:

we know that

The measurement of the outer angle is the semi-difference of the arcs which comprises

Let

x-----> the measure of arc EVL

y----> the measure of arc EHL

[tex]m<EYL=\frac{1}{2}(x-y)[/tex]

[tex]m<EYL=\frac{1}{3}(y)[/tex]

so

[tex]\frac{1}{3}y=\frac{1}{2}(x-y)[/tex]

Multiply by 6 both sides

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

[tex]3x=5y[/tex]

[tex]x=\frac{5}{3}y[/tex] -----> equation A

[tex]x+y=360\°[/tex] -----> equation B  ( is a complete circle)

substitute equation A in equation B

[tex]\frac{5}{3}y+y=360\°[/tex]

[tex]\frac{8}{3}y=360\°[/tex]

[tex]y=(360\°)*(3)/8=135\°[/tex]

Find the value of x

[tex]x=\frac{5}{3}(135\°)=225\°[/tex]

Find the measure of angle EYL

[tex]m<EYL=\frac{1}{2}(x-y)[/tex]

substitute the values

[tex]m<EYL=\frac{1}{2}(225\°-135\°)=45\°[/tex]

Answer:

True

Step-by-step explanation:

The area of a regular polygon is found by multiplying 1/2 times the apothem times the perimeter.  The area for a single triangle is 1/2 times the height (which is the same as the apothem of a regular polygon) times the base (which is one of the sides of the regular polygon which you are multiplying by  to find the perimeter of the polygon).

Answer:

The given statement is true.

Step-by-step explanation:

The area of a regular heptagon can be found by breaking the heptagon into seven congruent triangles and then taking the sum of their areas.

This is true.

Breaking down in 7 triangles and adding separately the areas of these triangles, will give the complete area of the heptagon. We can also find the area of one triangle and multiply that by 7 to get the same result.

Without more information, we cannot give a specific numerical answer for the total interest on a 20-year loan. As a rule, total interest paid will be less on a shorter loan, despite higher monthly payments.

The question is asking how much total interest would Misty pay on a 20-year loan, given she knows the total interest paid on a 25-year loan to be $57,810. We're not given enough information to provide a specific numerical answer for this - the loan interest for a 20-year loan and a 25-year loan involve different payment schedules and amounts - so we can't directly compare or convert the total interest paid.

However, generally speaking, the total interest paid over a shorter loan term (i.e. 20 years) is expected to be less than that of a longer term (i.e. 25 years), assuming all else (loan amount, interest rate) remains equal - this is because the principal balance is being paid down more rapidly, leaving less time for interest to accrue. The trade-off is that monthly payments would be higher on the shorter term loan.

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I believe the answer is d. 156,029

I think the answer is D

Answer:

Second Option

[tex]a=1.46[/tex]

Step-by-step explanation:

The triangle of the figure is a straight triangle.

We know the length of the hypotenuse, h = 2, and we know the angle A = 43°. We need to find the length a. Side a is the side adjacent to the 43° angle

By definition we know that

[tex]cosx = \frac{adjacent}{hypotenuse}[/tex]

Then

adjacent = a

hypotenuse  =2

x =43°

[tex]cos(43\°) = \frac{a}{2}[/tex]

[tex]a= 2cos(43\°)[/tex]

[tex]a= 1.46[/tex]

Answer:

Step-by-step explanation:

This is a special die.  Its six sides bear the numbers {9, 10, 11, 12, 13, 14}.

There are three possibilities for getting a multiple of two:  {10, 12, 14}, and

there is only one possibilities for getting a multiple of ten:  {10, 12, 14}

The probability here of getting a multiple of two is 3/6, and that of getting a multiple of ten is 1/6.  But one of the outcomes is found in both result sets:  10.  Getting a multiple of 10 is already included in the event that the outcome is a multiple of two.  My answer here would be 3/6, or 1/2.

the probability of rolling a multiple of two or ten is 4/6, which simplifies to 2/3.

The probability of rolling a multiple of two or ten on a die numbered 9 through 14 can be calculated as follows:

\

Answer:

B. Data set X is not linear, and data set Y is linear.

Step-by-step explanation:

We assume here that "form a pattern" means "roughly forms a line"... because a pattern doesn't necessarily equal a line, it would be a curve that would easily be interpreted too, but it wouldn't be linear.

Since you cannot form a pattern, and based on your choices for answer, we have have to say that data set X is NOT linear.

On the opposite, since the data set Y produces a pattern, it has to be linear.

So, X = NOT linear, Y = linear.

Answer:

(Data set x is linear, and data set y is not linear.) This is the correct answer 100%...

When i put the answer in from the other person which was (x is not linear, and y is linear) it said incorrect and gave me this answer x is linear, and y is not linear. So be careful what you put down.

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

just took the answer on e2020

Answer:

B:

Yes, a translation mapping vertex Q to vertex T and a reflection across the line containing QS will map  △QRS to △TUV.

Answer:

The fourth graph (last graph)

Step-by-step explanation:

Remember that the zeros of a function are the x-intercepts of the graph. To find the zeros we just need to set the function equal to zero and solve for x:

[tex]f(x)=(x-1)(x+4)[/tex]

[tex](x-1)(x+4)=0[/tex]

[tex]x-1=0,x+4=0[/tex]

[tex]x=1,x=-4[/tex]

Now we know that the graph or our function intersects the x-axis at x = 1 and x = -4.

Since both x values inside the parenthesis are positive, our parabola is opening upwards.

The only graph opening upwards whose x-intercepts are x = 1 and x = -4 is the fourth one.

We can conclude that the graph of [tex]f(x)=(x-1)(x+4)[/tex] is the fourth one.

ANSWER

See attachment.

EXPLANATION

The given function is

f(x) = (x – 1)(x + 4).

This parabola will open upwards because the leading coefficient is positive.

The x-intercepts can be found by equating the function to zero.

[tex](x - 1)(x + 4) = 0[/tex]

By the zero product property;

[tex]x - 1 = 0 \: or \: x + 4 = 0[/tex]

This implies that,

[tex]x = 1 \: or \: x = - 4[/tex]

The graph that touches the x-axis at -4 and 1, and opens upwards is the last graph.

The correct choice is D.

Answer:

x^2 + y^2 + 6x - 8y + 21= 0.

Step-by-step explanation:

The center of this circle is (-3, 4) and the radius id 2.

So in Standard form, the equation is:

(x + 3)^2 + ( y - 4)^2 = 2^2

Converting to General form we have:

x^2 + 6x + 9  + y^2 - 8y + 16 = 4

x^2 + y^2 + 6x - 8y + 9 + 16 - 4 = 0

x^2 + y^2 + 6x - 8y + 21= 0.

Answer:

5 · a³ · b³ · √5b

Step-by-step explanation:

Start with √(50a^6b^7).  Rewrite 50 as the product of the largest possible perfect square and a multiplier:  50 = 25 · 2.  Then √50 = 5√2.

a^6 is already a perfect square, so find its square root:  √a^6 = a^3.

b^7 = b · b^6, so √b^7 = b^3√b

Now rewrite (50(a^6) (b^7)) as √(50a^6b^7).

Then rewrite √(50a^6b^7) as 5√2 · a³ · b³ · √b.

This latter result can be simplified to 5 · a³ · b³ · √5b

This matches possible answer #1.

Answer: FIRST OPTION

Step-by-step explanation:

You need the formula for calculate the arc lenght:

[tex]arc\ length=2\pi r(\frac{C}{360})[/tex]

Where  "r" is the radius and and "C" is the central angle in degrees.

You know that the radius is:

[tex]r=7.5[/tex]

And the central angle ∠CAT is:

[tex]C=\angle CAT=125\°[/tex]

Then, you need to substitute these values into the formula  [tex]arc\ length=2\pi r(\frac{C}{360})[/tex] to calculate the length of CT.

Then, this is:

 [tex]arc\ length=CT=2\pi (7.5)(\frac{125\°}{360})[/tex]

[tex]arc\ length=CT=16.4[/tex]

ANSWER

The solution is (2,1)

EXPLANATION

The given equations are:

2x+4y=8...(1)

3x-5y=1...(2)

We make x the subject in the first equation to get:

2x=8-4y

This means that,

x=4-2y...(3)

Put equation (3) into equation (2)

3(4-2y)-5y=1

Expand:

12-6y-5y=1

-6y-5y=1-12

-11y=-11

y=1

Put y=1 into equation (3).

x=4-2(1)=2

The solution is (2,1)

Answer:

There were 40 student tickets sold.

Step-by-step explanation:

First I set up equations to represent this situation.

4x+3y=380

x+y=105

x represents the adult tickets and y represents the student tickets.

I can solve this with the elimination method. I want to cancel out the x so I will multiply every term in equation 2 by -4.

4x+3y=380

-4x-4y=-420

Now I combine like terms.

-y=-40

I can divide the negative one from both sides.

y=40

40 Tickets sold.

Thank me later.

Answer:

$1615.00

Step-by-step explanation:

Answer:

y = 2 x - 1

Hope this helps :)

Have a great day !

5INGH

Step-by-step explanation:

When x = 1 , y= 1

x = 2 , y=3