Using the given scale factor and center dilate the following figures and state the new coordinates

Answer:

Let x be the number.

It is given that a 15 : 9 aspect ratio and a screen that is 42 inches.

Aspect ratio states that  the ratio of the display image’s width to its height.

Then;

Width of the television of(w) = 15x

and

height of the television(h) = 9x.

Since, television is in the form of Rectangle.

and it is also, given that the screen is 42 inches .

⇒Diagonal of the television(D) = 42 inches

Using formula of diagonal of the rectangle :

[tex]D^2 =w^2+h^2[/tex]

Substitute the given values to solve for x;

[tex]42^2 = (15x)^2+(9x)^2[/tex]

[tex]1764 = 225x^2 + 81x^2 = 306x^2[/tex]

or

[tex]x^2 = \frac{1764}{306} = 5.76[/tex]

[tex]x = \sqrt{5.76} = 2.4[/tex]

Then:

width of the television (15x) = 15(2.4) = 36 inches and

Height of the television (9x) = 9(2.4) = 21.6 inches.

Therefore, the actual dimensions of the television are;

width = 36 inches and height = 21.6 inches.

Answer:

a = 7cm

b = 3cm

Step-by-step explanation:

84 - 21 = 63cm²

XYRQ = 63cm²

63 / 9 = 7cm

a = 7cm

21 / 7 = 3cm

b = 3cm

Answer:

Here’s the graph

Step-by-step explanation:

Table D if you graph them and do the line test ( where you take a vertical line and see if it touches two points on a graph) you will see that everything else EXCPET D will be touched by the vertical line.

[tex]\bf \qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &5000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=\textit{elapsed time}\dotfill &x\\ \end{cases} \\\\\\ A=5000(1+0.09)^x\implies A=5000(1.09)^x[/tex]

Answer:

(17.8 , 1.6)

Answer: 6*(13+7) = 60

Step-by-step explanation:

6*13+6*7

6*(13+7) = 6*10 =60

The required equivalent expression is [tex]6(13+7)[/tex].

Given:

The expression is:

[tex]6\times 13+6\times 7[/tex]

To find:

The equivalent expression of the given expression by using the distributive property.

Explanation:

Distributive property: If [tex]a,b,c[/tex] are three real numbers, then

[tex]a(b+c)=ab+ac[/tex]

We have,

[tex]6\times 13+6\times 7[/tex]

Using the distributive property, we get

[tex]6\times 13+6\times 7=6(13+7)[/tex]

Therefore, the required equivalent expression is [tex]6(13+7)[/tex].

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Answer:

C. 97,000

Step-by-step explanation:

9.7x10^4 = 9.7 x 10000 = 97,000

Final answer:

To write 9.7x10^4 in standard form, you multiply 9.7 by 10,000, resulting in 97,000. Therefore, the correct answer is C. 97,000.

Explanation:

To write 9.7x10^4 in standard form, you multiply the coefficient (9.7) by 10 to the power of 4.

Since 10^4 means 10,000, you would perform the calculation 9.7 multiplied by 10,000. Doing this gives you 97,000. Therefore, the correct answer is:

C. 97,000

Here are steps to write numbers in scientific notation or standard form from the examples provided:

To convert the number 4,500 to scientific notation, you move the decimal three places to the left to get 4.5 x 10^3.

The number 2,220,000 would be 2.22 x 10^6 in scientific notation.

A smaller number like 0.0035 would be written as 3.5 x 10^-3.

For 0.7, the scientific notation is 7 x 10^-1.

The number 858.67 would be 8.5867 x 10^2 since the decimal is moved two places to the left.

Answer:

1650

Step-by-step explanation:

If there are 275 pages and each page can fits 6 coins then you multiply 6 by 275.

Answer:

6 on each page; 1,650 in total coins for all the pages

Step-by-step explanation:

1. The first step is to multiply 1/6*6 to find out how many coins can fit on one page.

2.The second step is to multiply 6 *275. That equals 1,650

Answer:

$69.60

Step-by-step explanation:

20% of $58 is $11.60. So you add $11.60 + 58 which equals $69.60, so that is the total cost.

Answer:

$69.60

Step-by-step explanation:

The desired amount (total cost) is equivalent to the sum of the bill and 20% of the bill, or, equivalently, 120% of the bill.

1.20($58) = $69.60

The total cost is $69.60, including a 20% tip.

Answer: A.

The reason is because if you're adding a negative to a number, it's subtraction, which is in the expression.

Answer:

The answer is A.

Step-by-step explanation:

Adding a negative is the same as subtracting

Answer:

The area of a polygon is the number of square units inside that polygon. Area is 2-dimensional like a carpet or an area rug.

trapezoidA trapezoid is a 4-sided figure with one pair of parallel sides. For example, in the diagram to the right, the bases are parallel. To find the area of a trapezoid, take the sum of its bases, multiply the sum by the height of the trapezoid, and then divide the result by 2, The formula for the area of a trapezoid is:

area_trapezoid1.gif or area_trapezoid2.gif

Where b1.gif is base1.gif, b2.gif is base2.gif, h.gif is height and · means multiply.

Each base of a trapezoid must be perpendicular to the height. In the diagram above, both bases are sides of the trapezoid. However, since the lateral sides are not perpendicular to either of the bases, a dotted line is drawn to represent the height.

In Examples 1 and 3 below, the height is a side of the trapezoid since it is perpendicular to the base. In Example 2, the lateral sides are not perpendicular to the base, so a dotted line is drawn to represent the height.

Example 1: Find the area of a trapezoid with bases of 10 inches and 14 inches, and a height of 5 inches.

trapezoidSolution:

area_trapezoid2.gif

a_0.gif = one_half.gif · (10 in + 14 in) · 5 in

a_0.gif = one_half.gif · (24 in) · (5 in)

a_0.gif = one_half.gif · 120 in2

a_0.gif = 60 in2

Example 2: Find the area of a trapezoid with bases of 9 centimeters and 7 centimeters, and a height of 3 centimeters.

Solution:

trapezoidarea_trapezoid2.gif

a_0.gif = one_half.gif · (9 cm + 7 cm) · 3 cm

a_0.gif = one_half.gif · (16 cm) · (3 cm)

a_0.gif = one_half.gif · 48 cm2

a_0.gif = 24 cm2

Example 3: The area of a trapezoid is 52 square inches and the bases are 11 inches and 15 inches. Find the height.

trapezoidSolution:  

area_trapezoid2.gif

52 in2 = one_half.gif· (11 in + 15 in) · h.gif

52 in2 = one_half.gif· (26 in) · h.gif

52 in2 = (13 in) · h.gif

52 in2 ÷ (13 in) = h.gif

h.gif = 4 in

trapezoidSummary: To find the area of a trapezoid, take the sum of its bases, multiply the sum by the height of the trapezoid, and then divide the result by 2, The formula for the area of a trapezoid is:

area_trapezoid1.gif or area_trapezoid2.gif

Where b1.gif is base1.gif, b2.gif is base2.gif, h.gif is height.

Step-by-step explanation:

The law of large number states that , if number of trials increases in an experiment , in a fair trial where each outcome has same chance of occurring or having equal probabilities,when total number of trials  goes higher and higher the probabilities of each single outcome becomes approximately equal.→→In case of Experimental Probability

The Coin Possessed by Jake is a Magic coin.

Now Outcomes received by jake when he tosses the coin certain number of times.He flipped it 100 times, and found that it came up heads 64% of the time. He flipped it another 500 times, and it came up heads 57% of the time. He then flipped it 1000 times, and it came up heads 58% of the time. Then, he flipped it 1500 times, and it came up heads 62% of the time.

Based on the information provided , it appears that coin is not fair . It is  Unbiased.So , if we apply law of large numbers here after number of trials will go higher and higher , the chances of coming head will be more than tail i.e theoretical probability of the magic coin coming up heads is> 50%.

To test my hypothesis i have used the information provided by Jake, which shows that coin is not fair. The probability of head has more than tail i.e by 14%, 7%,8% and 12%.

Answer:

C: 8.00

Step-by-step explanation:

1 in = 2.54 cm

l = 20.32 × 1/2.54

l = 8.00 in

The length of Nancy’s mirror is 8.00 in.

Answer:

b

Step-by-step explanation:

Answer:

29 students

Step-by-step explanation:

First you subtract 6 from 122 so you aren’t counting the remaining 6. You get 116

Then you divide 116 by 4 to find how many students are in his class which is 29

Answer:

425 milliliters of compound A are needed

Step-by-step explanation:

We were told that [tex]5[/tex] milliliters of compound A and [tex]6[/tex] milliliters of compound B is needed to make the drug.

This means that each drug contains 11 milliliters of both compounds.

[tex]\frac{935}{11}=85[/tex] milliliters is the volume of each drug.

Therefore the chemist needed [tex]5\times 85=425[/tex] millilirteres of compound A.

In order to find out how much of compound A is needed, we would set up a ratio using the amounts provided of compound A and B. Then, we cross multiply and solve for the unknown amount of compound A needed for the specific quantity of the drug.

This problem is about ratios. We know that specific quantities of compound A and compound B are combined to make a certain amount of the drug. However, the quantities of compound A and B are not mentioned in the question. If they were provided, we would set up a ratio equal to the total amount of the drug and cross multiply to solve for the amount of compound A needed.

An example might look something like this: if the drug is made of 2 milliliters of compound A for every 3 milliliters of compound B and we wanted to make 5 milliliters of the drug. You would set it up like this:

2 (Compound A) / 3 (Compound B) = x (Amount of compound A needed) / 5 (Total Amount of drug needed)

Cross multiplying gives us: 2 * 5 = 3 * x

This simplifies to: 10 = 3x

Dividing each side by 3 then gives the amount needed of compound A: x = 3.33 milliliters.

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Answer:

f(x) = 3(x + 1)² + 2

Step-by-step explanation:

Use the method of completing the square

3x² + 6x + 5

= 3(x² + 2x) + 5

add/ subtract (half the coefficient of the x-term)² to x² + 2x

= 3(x² + 2(1)x + 1 - 1) + 5

= 3(x + 1)² - 3 + 5

f(x) = 3(x + 1)² + 2 ← in vertex form

Answer:

The equation of line would be y = 2

Step-by-step explanation:

Since the x-axis is horizontal, we would look for another horizontal line to be parallel. All horizontal lines can be written as y = (a number). We can find that number as the y-coordinate in the ordered pair (2)

y = 2

Answer:

yes

Step-by-step explanation:

Because 4:3 simplifies to 2:1.5

Answer:

The right option is B) 12.60

Step-by-step explanation:

We have given,

Number of shares = 30

Cost of each share = $34

Total cost of shares = 30 × 34 = $1020

Since the company paid annual dividends of $0.42 per share.

i.e Total annual dividend company paid = 0.42 × 30

Total annual dividend company paid = $ 12.60

Hence the right option is B) 12.60

Answer:

x=12

Step-by-step explanation:

16x - (8x  + 6) =90

The first step is to distribute the - sign

16x -8x -6 =90

Now we combine the like terms

8x-6 = 90

Add 6 to each side

8x-6+6 = 90+6

8x = 96

Divide each side by 8

8x/8 = 96/8

x =12

Answer:  (a) $6,600

                (b) $28,600

Step-by-step explanation:

Interest (I) = Principal (P) x rate (r) x time (t)

I = 22,000(0.06)(5)

 = 6,600

Accrued (A) = Principal (P) + Interest (I)

A = 22,000 + 6,600

  = 28,600

Answer:

4:5 ,15:16

Step-by-step explanation:

divide 12 and 15 by 3 to get 4 and 5

Answer: 0.43

Think of 43% as 43.0%

Move the decimal 2 spots to the left to go from 43.0 to 0.43

Alternatively, use a calculator to find that 43% = 43/100 = 0.43

"percent" means "per 100", so that's why we're dividing over 100.

Final answer:

The value of the expression is -12, obtained by first converting mixed numbers to improper fractions, dividing and then multiplying the resulting fractions, and finally simplifying them.

Explanation:

The value of the expression (-8/9) divided by (-2/3) multiplied by (-4 1/2) is computed as follows:

Answer:

-8d^2+10d-3

Hope i helped if i am wrong tell me please :)

Step-by-step explanation:

combine like terms

A.

6x - 5y = 15

L = 6(1.8) - 5(-0.9) = 10.8 + 4.5 = 15.3

R = 15

L ≈ R

x + 2y = 0

L = 1.8 + 2(-0.9) = 1.8 - 1.8 = 0

L = R

B.

4x + 5y = 8

L = 4(1.8) + 5(-0.9) = 7.2 - 4.5 = 2.7

R = 8

L ≠ R

C.

x - 2y = 4

L = 1.8 - 2(-0.9) = 1.8 + 1.8 = 3.6

R = 4

L ≈ R

4x + 5y = 8

L = 4(1.8) + 5(-0.9) = 7.2 - 4.5 = 2.7

R = 8

L ≠ R

D.

6x - 5y = 15

L = 6(1.8) - 5(-0.9) = 10.8 + 4.5 = 15.3

R = 15

L ≈ R

x - 2y = 4

L = 1.8 - 2(-0.9) = 1.8 + 1.8 = 3.6

R = 4

L ≈ R

Yeah so your answer is gonna be

A.

After testing the approximate values (1.8, -0.9) in the systems of equations, only option A satisfies both equations with the solution approximately equal to (1.8, -0.9).

To find which system of equations has a solution of approximately (1.8,-0.9), we need to substitute the x-value into each equation to see if the corresponding y-value is approximately -0.9. Whichever system satisfies both equations with these approximate values will be our answer.

Therefore, the correct answer is option A, as it satisfies both equations with the solution approximately equal to (1.8, -0.9).

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Answer:

1.3 L more.

Step-by-step explanation:

Givens

8 fluid ounces = 1 cup.

240 mL = 1 cup

Solution

4 cups = 1 L

64 fluid ounces = x cups

8/64 = 1  / x                          Cross multiply

8x = 64                                 Divide by 8

8x/8 = 64/8

x = 8 cups

So we should be drinking 8 cups a day

1 L = 4 cups

x    = 8 cups                     Cross multiply

4x = 8 cups                      Divide by 4

x = 8/4            

x = 2 Liters.

1 L = 1000 mL

x L = 700 mL

700 * 1 = 1000 * x

Divide by 1000

x = 700 / 1000

x = 0.7 L

He needs to drink 2 L - 0.7L

1.3 more liters.

Answer: 1.3 L

Step-by-step explanation: