Item 20 The width of a rectangular room is 50% of its length. The length of the room is 12 feet. What is the area of the room?

Answer:

I believe it'll be A and E.

hope this helps!

Answer:

D and E

Step-by-step explanation:

Using the rules of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] , [tex]a^{0}[/tex] = 1

Then

[tex]\frac{3^{9} }{3^{9} }[/tex]

= [tex]3^{(9-9)}[/tex]

= [tex]3^{0}[/tex]  → E

= 1 → D

Answer:

speak english plz

Step-by-step explanation:

Answer:

x=65

Step-by-step explanation:

that is all. It is isoceles triangle so if p is 65, l is also 65

Answer:

65 degrees

Step-by-step explanation:

The two sides of the angle is equal which means it is an isosceles triangle, the value will be 65 degrees

Answer:

B

Step-by-step explanation:

Answer:

A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.

Step-by-step explanation:

Answer:

A. 3.67 units

Step-by-step explanation:

I calculated it logically

Answer:

Step-by-step explanation:

Answer:

YES

Step-by-step explanation:

Any straight line can be represented by an equation of the form

Y = mX + b

where m is the slope and b is the Y intercept, so these two equations are lines. The only solution is where the two lines cross, so must satisfy both equations. Plugging in 3 for X and -2 for Y we get

Y = -3X + 7

-2 = -3(3) + 7

-2 = -9 + 7

-2 = -2 True

AND,

Y = 2X - 8

-2 = 2(3) - 8

-2 = 6 - 8

-2 = -2 True

So since both are true, yes (3, -2)  is the solution.

The value of x to satisfy the given case is 2.

The mid point theorem states that in a triangle the line segment joining the mid point of two sides is always parallel and equal to half of the length of the third side.

As per the given figure the data is as follows,

The line segment of length 6x + 7 is parallel to the side of a triangle of length 19x - 28 such that it divides other two sides equally.

Apply mid point theorem to obtain,

6x + 7 = 1/2(19x - 28)

=> 19x/2 - 6x = 14 - 7

=> 7x/2 = 7

=> x = 2

Hence, the value of x for the given triangle is 2.

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Answer:

$150

Step-by-step explanation:

I = prt

I = 5000(.06)(.5)

I = 150

Answer:

This is the order:

1. 3x

2. 3x + 8

3. x^2

4. x^2 + 6

5. 4^x

6. 4^x + 3

(I numbered them only so it would be easier to refer to them)

Step-by-step explanation:

Why is Equation #2 greater than Equation #1?

This is because the equations are the same, except that the second equation is shifted up by eight units. This means that its value is always going to be eight units greater.

This same reasoning applies to Equations 3&4 and 5&6.

Why is Equation #3 greater than Equation #2?

This is because a certain value multiplied by three (even with eight added) will soon be overtaken by that value squared. For example, let's make x= 5

3(5) + 8 = 23

(5)^2 = 25

As you can see, the equation x^2 is already greater in value than 3x + 8.

Why is Equation #5 greater than Equation #4?

This is because a certain value squared will soon be overtaken by 4 to the power of that value. For example, let's make x= 2

(2)^2 + 6= 10

4^2 = 16

As you can see, the equation 4^x is already greater in value than x^2 + 6.

Hope this helps! :)

Answer:

1. 3x

2. 3x + 8

3. x^2

4. x^2 + 6

5. 4^x

6. 4^x + 3

Step-by-step explanation:

Answer:

Rent

Step-by-step explanation:

I think

Answer:

[tex]Area = 90.03cm^2[/tex]

Step-by-step explanation:

Given

[tex]s_1 = 14.9[/tex]

[tex]s_2 = 14.7[/tex]

[tex]\theta = 124[/tex] --- angle in between

Required

The area of the plate

Since [tex]\theta = 124[/tex] is between [tex]s_1[/tex] and [tex]s_2[/tex]

The area is:

[tex]Area = \frac{1}{2} * s_1 * s_2 * \sin(\theta)[/tex]

[tex]Area = \frac{1}{2} * 14.9 * 14.7 * \sin(124.7)[/tex]

[tex]Area = \frac{1}{2} * 14.9 * 14.7 * 0.8221[/tex]

[tex]Area = 90.03cm^2[/tex]

Answer:

The signs will be + and -

Step-by-step explanation:

Required

The signs in the parenthesis of difference of two squares

Let the expression be:

[tex](x^2 - a^2)[/tex]

Expand

[tex]x^2 - a^2 = x^2 -ax + ax - a^2[/tex]

Factorize

[tex]x^2 - a^2 = x(x -a) + a(x - a)[/tex]

Factor out x - a

[tex]x^2 - a^2 = (x +a)(x - a)[/tex]

See that the sign in front of a is + and - in the parentheses

hmmmmmmm

the second one

Answer: it is C

Step-by-step explanation:

Translation: (4,2) -> (3,1)

Dilation: (3,1) -> (6,2)

The solution is,  the coordinates of point R' are (7, 3) and the correct option is B.

A transformation is a dramatic change in form or appearance. An important event like getting your driver's license, going to college, or getting married can cause a transformation in your life. A transformation is an extreme, radical change.

here, we have,

Given:

The coordinate of point R in quadrilateral RUST are (4,2).

R is dilated by a scale factor of 2, centered at the origin, followed by the translation (x, y) + (x - 1, y - 1).

To find:

The coordinates of R' after dilation and translation.

Solution:

If a figure is dilated by a scale factor of 2, centered at the origin, then

(x, y) ⇒ ( 2x, 2y )

We value R(4,2).

R(4,2) ⇒ R_1( 8,4)

The rule of translation is:

(x, y) + (x - 1, y - 1).

Using this rule, we get

R_1( 8,4) ⇒ R' ( 7,3)

Therefore, the coordinates of point R' are (7, 3) and the correct option is B.

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Answer:

8ft

Step-by-step explanation:

Radius is the half of the diameter, which is 16ft in this circle. So half the diameter will be 16÷2 which is 8ft.

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[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]

Because,

r = 1 d

ㅤ 2

r = 1 × 16

ㅤ 2

r = 8 ft.

Answer:

see explanation

Step-by-step explanation:

HF is a perpendicular bisector of Δ EGH

Then Δ EGH is an isosceles triangle with 2 congruent sides GH and EH , so

GH = EH

3x - 8 = 2x ( subtract 2x from both sides )

x - 8 = 0 ( add 8 to both sides )

x = 8

Then

GH = 3x - 8 = 3(8) - 8 = 24 - 8 = 16

Answer:

From diagram, FG = EF

Solving fo HF and FG by Pythagorean Theorem

HF² = (3x -8)²  -FG²

HF² = (2x)² -FG²

We can eliminate HF² and FG² from BOTH equations because they cancel out.

The 2 equations become (3x -8)² = (2x)²

9x² -48x +64 = 4x²

5x² -48x +64 = 0

Using Quadratic Formula

X1 = 8

X2 = 1.6

********************************************

2x = 16 AND 2x = 3.2

F is 90°

3x -8 = 16 AND 3x -8 = 2.8

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

P(5) Represents the probability that the spinner will land on 5 after being spun once. Since 5 is one of three options on the wheel, the probability is 1/3

Answer:

green one

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

• If a > 0 then the graph opens upwards

• If a < 0 then the graph opens downwards

y = - x² + x + 6 , has a = - 1 < 0

Then its graph will open downwards

Answer:2

Step-by-step explanation:

Answer:

0.25

Step-by-step explanation:

0.52 is like 2 quarters

0.25 is 1 quarter

So, 1 < 2

Have a nice day! :)

Answer:

I'm pretty sure it's either 3.1 or 4.1

Step-by-step explanation:

Answer:

x = (571 ± √186217) / 18

x ≈ 7.74840677368558702303.. or 55.69603767075885742140..

x ≈ 7.75 or 55.70

Step-by-step explanation:

y = -9x² + 571x – 3884.

x = (-b ± √b² – 4ac) / 2a

x =

(-(571) ± √((571)² – 4((-9) × (-3884))) / 2(-9)) →

(-571 ± √(326041 – 4(34956))) / -18) →

(-571 ± √(326041 – 139824)) / -18) →

(-571 ± √(186217)) / -18 →

(571 ± √186217) / 18 →

Answer:

D. 0

Step-by-step explanation:

I calculated logically

Answer:

look at the picture i have sent

Answer:

The p-value of the test is 0 < 0.05, which means that there is significant evidence to conclude that more people utilize the bike lane after the change.

Step-by-step explanation:

Before the upgrade, on any given day, it was known that the section of road saw an average of 350 unique cyclists. Test if more people are using now.

At the null hypothesis, we test if the same number of people is still using, that is, the mean is 350. So

[tex]H_0: \mu = 350[/tex]

At the alternate hypothesis, we test if this mean increased, that is:

[tex]H_1: \mu > 350[/tex]

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

350 is tested at the null hypothesis:

This means that [tex]\mu = 350[/tex]

After the upgrade, they took a random sample of 35 days in the year and counted the number of unique cyclists each day. The average was 405 cyclists with a standard deviation of 25.

This means that [tex]n = 35, X = 405, s = 25[/tex].

Test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{405 - 350}{\frac{25}{\sqrt{35}}}[/tex]

[tex]t = 13.02[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 405, which is a right-tailed test with t = 13.02 and 35 - 1 = 34 degrees of freedom.

Using a t-distribution calculator, this probability is of 0.

The p-value of the test is 0 < 0.05, which means that there is significant evidence to conclude that more people utilize the bike lane after the change.

Hi!

-6(2y + 3) + 6 = 24

-12y - 18 + 6 = 24

-12y = 24 + 18 - 6

-12y = 36 || : (-12)

y = -3

Answer:

7,300

Step-by-step explanation:

6900x2 years=13,800 total tuition.

13800-2500-4000 (2000x2)=7,300