1. Define transformation using the words preimage and
image.

Answer:

Step-by-step explanation:

[tex]v=\frac{d}{t}\\ \\ v=\frac{\frac{2}{5}}{\frac{1}{4}}\\ \\ v=\frac{2}{5}\left(\frac{4}{1}\right)\\ \\ v=\frac{8}{5}\\ \\ v=1.6\ \frac{mi}{hr}[/tex]

Answer:

4760.

Step-by-step explanation:

68 x 10: 680

680 x 7: 4760

Answer:

4760

Step-by-step explanation:

Answer:

$421.10

Step-by-step explanation:

If the discount is 10%, that means the sale price is 90% of the original price.

Write the equation that represents that:

378.99 = 0.9x. Solve for x. Divide both sides by 0.9

378.99/0.9 = 421.10

That is the price before the discount and tax.

Answer:

C. (-1,2)

Count where the intersection is.

Go backwards one (-1) on the x-axis, and go up two on the y-axis (2).

Answer:

(-1,2)

Step-by-step explanation:

They intersect on the 1st dash on the x axis

and 2nd dash on the y axis

Answer:

Travis plans on spending 2/3 of his income which is $4800

Step-by-step explanation:

1/2 = 3/6 and 3/6 + 1/6 = 4/6 and 4/6 = 2/3

Answer:

2/3

Step-by-step explanation:

7200 / 2 = 3600  rent

7200/ 1/6  = 1200 electricity

3600 +1200 = 4800

4800/7200 = the same as simplified 48/72

We know our 12x table = 4/6

We can simplify 4/6 as 2/3

Answer:

1.  18x+200

If x=21, answer: 578$

2. (3160-400)/ 120=x

x=23

Step-by-step explanation:

Answer:

$56.10

Step-by-step explanation:

Answer:

$8.50

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Answer:

no lo se no se mucho de ingles

Step-by-step explanation:

lo siento

Answer:

[tex]P(ABC) = 0.110592[/tex]

[tex]P(ABC^c) = 0.119808[/tex]

[tex]P(AB^cC) = 0.119808[/tex]

[tex]P(A^cBC) = 0.119808[/tex]

[tex]P(AB^cC^c) = 0.129792[/tex]

[tex]P(A^cBC^c) = 0.129792[/tex]

[tex]P(A^cB^cC) = 0.129792[/tex]

[tex]P(A^cB^cC^c) = 0.140608[/tex]

Step-by-step explanation:

Given

[tex]P(A) = P(B) = P(C) = 48\%[/tex]

Convert the probability to decimal

[tex]P(A) = P(B) = P(C) = 0.48[/tex]

Solving (a): P(ABC)

This is calculated as:

[tex]P(ABC) = P(A) * P(B) * P(C)[/tex]

This gives:

[tex]P(ABC) = 0.48*0.48*0.48[/tex]

[tex]P(ABC) = 0.110592[/tex]

Solving (b): [tex]P(ABC^c)[/tex]

This is calculated as:

[tex]P(ABC^c) = P(A) * P(B) * P(C^c)[/tex]

In probability:

[tex]P(C^c) = 1 - P(C)[/tex]

So, we have:

[tex]P(ABC^c) = P(A) * P(B) * (1 - P(C))[/tex]

[tex]P(ABC^c) = 0.48 * 0.48 * (1 - 0.48)[/tex]

[tex]P(ABC^c) = 0.48 * 0.48 * 0.52[/tex]

[tex]P(ABC^c) = 0.119808[/tex]

Solving (c): [tex]P(AB^cC)[/tex]

This is calculated as:

[tex]P(AB^cC) = P(A) * P(B^c) * P(C)[/tex]

[tex]P(AB^cC) = P(A) * [1 - P(B)] * P(C)[/tex]

[tex]P(AB^cC) = 0.48 * (1 - 0.48)* 0.48[/tex]

[tex]P(AB^cC) = 0.48 * 0.52* 0.48[/tex]

[tex]P(AB^cC) = 0.119808[/tex]

Solving (d): [tex]P(A^cBC)[/tex]

This is calculated as:

[tex]P(A^cBC) = P(A^c) * P(B) * P(C)[/tex]

[tex]P(A^cBC) = [1-P(A)] *P(B) * P(C)[/tex]

[tex]P(A^cBC) = (1 - 0.48)* 0.48 * 0.48[/tex]

[tex]P(A^cBC) = 0.52* 0.48 * 0.48[/tex]

[tex]P(A^cBC) = 0.119808[/tex]

Solving (e): [tex]P(AB^cC^c)[/tex]

This is calculated as:

[tex]P(AB^cC^c) = P(A) * P(B^c) * P(C^c)[/tex]

[tex]P(AB^cC^c) = P(A) * [1-P(B)] * [1-P(C)][/tex]

[tex]P(AB^cC^c) = 0.48 * [1-0.48] * [1-0.48][/tex]

[tex]P(AB^cC^c) = 0.48 * 0.52*0.52[/tex]

[tex]P(AB^cC^c) = 0.129792[/tex]

Solving (f): [tex]P(A^cBC^c)[/tex]

This is calculated as:

[tex]P(A^cBC^c) = P(A^c) * P(B) * P(C^c)[/tex]

[tex]P(A^cBC^c) = [1-P(A)] * P(B) * [1-P(C)][/tex]

[tex]P(A^cBC^c) = [1-0.48] * 0.48 * [1-0.48][/tex]

[tex]P(A^cBC^c) = 0.52 * 0.48 * 0.52[/tex]

[tex]P(A^cBC^c) = 0.129792[/tex]

Solving (g): [tex]P(A^cB^cC)[/tex]

This is calculated as:

[tex]P(A^cB^cC) = P(A^c) * P(B^c) * P(C)[/tex]

[tex]P(A^cB^cC) = [1-P(A)] * [1-P(B)] * P(C)[/tex]

[tex]P(A^cB^cC) = [1-0.48] * [1-0.48] * 0.48[/tex]

[tex]P(A^cB^cC) = 0.52 * 0.52 * 0.48[/tex]

[tex]P(A^cB^cC) = 0.129792[/tex]

Solving (h): [tex]P(A^cB^cC^c)[/tex]

This is calculated as:

[tex]P(A^cB^cC^c) = P(A^c) * P(B^c) * P(C^c)[/tex]

[tex]P(A^cB^cC^c) = [1-P(A)] * [1-P(B)] * [1-P(C)][/tex]

[tex]P(A^cB^cC^c) = [1-0.48] * [1-0.48] * [1-0.48][/tex]

[tex]P(A^cB^cC^c) = 0.52*0.52*0.52[/tex]

[tex]P(A^cB^cC^c) = 0.140608[/tex]

Step-by-step explanation:

[tex]( - \frac{5}{12} )( - \frac{6}{35}) \\ = ( \frac{5}{12} )( \frac{6}{35} ) \\ = ( \frac{5}{35} )( \frac{6}{12} ) \\ = ( \frac{1}{7} )( \frac{1}{2} ) \\ = \frac{1}{14} [/tex]

Answer:

[tex]9 + \frac{n}{3} - 6 = 7[/tex]

Step-by-step explanation:

Given

[tex]9 + \frac{n}{3} - 6[/tex]

Required

Evaluate when n = 12

Substitute 12 for n in [tex]9 + \frac{n}{3} - 6[/tex]

[tex]9 + \frac{n}{3} - 6 = 9 + \frac{12}{3} - 6[/tex]

Simplify the fraction

[tex]9 + \frac{n}{3} - 6 = 9 + 4 - 6[/tex]

[tex]9 + \frac{n}{3} - 6 = 7[/tex]

Your answer is 7,

Known:n=12

So 12/3

First, we need to simplify 12/3

To simplify this, all we need to do is divide 12 by 3

12÷3=4

3 goes into 12 4 times.

So now our eqation is

9+4-6

9+4 is 13

13-6 is 7

Hope this helps

~`Learning with Natalia`~

Priya is standing 528.63 feet away from the base of Gateway Arch in St. Missouri.

In the field of mathematics known as trigonometry, correlations between angles and length ratios are studied. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.

Given parameters:

Height of the Gateway Arch in St. Missouri = 630 feet.

Priya have to look up at a 50° angle to see the top of the arch.

Now from definition of tanθ in trigonometry:

tan50° = height of the Gateway Arch in St. Missouri ÷ distance of Gateway Arch in St. Missouri

hence, distance of Gateway Arch in St. Missouri = height of Gateway Arch in St. Missouri ÷  tan50°

= 630 feet  ÷  tan50°

= 528.63 feet.

Hence, she is standing 528.63 feet away from the base of Gateway Arch in St. Missouri.

Learn more about trigonometry here:

https://brainly.com/question/29002217

#SPJ5

Answer:

1478.67

Step-by-step explanation:

Answer:

New amount (decrease) = £17253.53

Step-by-step explanation:

Given the following data;

Amount = £19064.67

Percentage = 9.5%

To find the percentage decrease;

[tex] Percentage \; cost = \frac {9.5}{100} * 19064.67 [/tex]

[tex] Percentage \; cost = 0.095 * 19064.67 [/tex]

Percentage cost = £1811.14

New amount (decrease) = Original amount - percentage cost

Substituting into the equation, we have;

New amount (decrease) = £19064.67 - £1811.14

New amount (decrease) = £17253.53

Answer:

thx u xox ur so sweet

Step-by-step explanation:

Answer:

z(18+9)=z*27=27z

Step-by-step explanation:

Answer:

(18+9)*z=27z

Step-by-step explanation:

Answer:

The mean of the sampling distribution of p is 0.75 and the standard deviation is 0.0306.

Step-by-step explanation:

Central Limit Theorem:

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

75% of teenagers in North America are pursuing a goal they have set for themselves.

This means that [tex]p = 0.75[/tex]

Sample of 200.

This means that [tex]n = 200[/tex].

What are the mean and standard deviation of the sampling distribution of p?

By the Central Limit Theorem

Mean [tex]\mu = p = 0.75[/tex]

Standard deviation [tex]s = \sqrt{\frac{0.75*0.25}{200}} = 0.0306[/tex]

The mean of the sampling distribution of p is 0.75 and the standard deviation is 0.0306.

Answer:

area=150cm square

Step-by-step explanation:

l=3 cm ,b=5m=50cm

area of rectangle=3×50

area=150cm square

Answer:

6.87022901%

Step-by-step explanation:

He measured 14 out of 13.1 inches. There is a difference of 0.9 inches when u subtract. He miscalculated by 0.9 out of 13.1. In a calculator you divide .9 by 13.1 you get 0.0687022901. Multiply by 100 to get the percent and round it to your desired decimal place.

Answer:

x=0.1

Step-by-step explanation:

Answer:

a=-0.01

Step-by-step explanation:

Divide by -20 on both sides:

0.2/-20=-20a/-20

which will be:

-0.01=a

Answer:

a=−0.01

Step-by-step explanation:

Answer:

The point that represents the outlier is “B”

Step-by-step explanation:

I know it because I just did it and got it right. Hope it helps!

Answer:

B

Step-by-step explanation:

I know because i got it correct

Answer:-(3-4i) and -(6+7i)

Step-by-step explanation: To find the complex conjugate, negate the term with i.

Answer:

-17

Step-by-step explanation:

8x -2y= 12

Divide the whole equation by 2:

4x -y= 6

Rewrite the equation into the slope-intercept form (y=mx+c, where m is the gradient while c is the y-intercept).

-y= -4x +6

y= 4x -6

Thus, gradient of given line= 4.

Since parallel lines have the same gradient, gradient of line= 4.

y= 4x +c

To find the y-intercept of the lone, substitute a pair of coordinates.

When x=5, y=3,

3= 4(5) +c

3= 20 +c

c= 3 -20

c= -17

Thus, the y-intercept of the line is -17.