Does the dilated image represent an enlargement, reduction, or neither?

Answer:

a; 3.45 * 10^3

b) 2.34 * 10^18

c) 80%

Step-by-step explanation:

a) 3450 in standard form

To write in standard form, we have to place a decimal at the back of the first non-zero number

we have this as ;

3.450

The count of numbers after the decimal point is 3

This will be the power to which 10 will be raised

We have this as;

3.45 * 10^3

b) 234 * 10^16

Let us write 234 in standard form

That will be;

234 = 2.34 * 10^2

So we have ;

2.34 * 10^2 * 10^16

Using the law of indices, we have;

2.34 * 10^(2 + 16) = 2.34 * 10^18

c) From the question, Kuwait is 4/5 of Hong kong’s population

Let Honk Kong’s population be x

4/5 * x = 2.4 million

4x = 5 * 2.4 million

x = 5 * 2.4/4

x = 5 * 0.6

x = 3 million

so writing the population of Kuwait as a percentage of that of Hong kong, we have

2.4/3 * 100%

= 0.8 * 100% = 80%

Answer:

x = 17

Step-by-step explanation:

corresponding interior angles are supplementary, meaning they have to add up to 180 degrees so

6x + 8 + 4x + 2 = 180°     then combine like terms ( 6x and 4x, 8 and 2 )

10x + 10 = 180         subtract 10 from both sides

        -10     -10

10x = 170            divide each side by 10

/10     /10

x = 17

Answer:

Jacoby is correct.

Step-by-step explanation:

Shop A= $6 ÷ 2 = $3/pound

Shop B= $15 ÷ 5 = $3/pound

Answer:

NO

Step-by-step explanation:

Either 3, 5 and 6 satisfy the Pythagorean Theorem or they do not.  Here we start with a^2 + b^2 = c^2 and substitute 6 for c (because 6 is the largest of the set):  Is 3^2 + 5^2 = 6^2?  9 + 25 = 36?  NO

Step-by-step explanation:

Given - f(t)=110(1.35)^{\frac{t}{40}}

To find - Write the function in the form f(t)=ae^{kt}. Round all coefficients

               to four decimal places.

Proof -

Given that , the function is  f(t)=110(1.35)^{\frac{t}{40}}

Now,

We can write it in the form of  [tex]f(t) = 110(1.35)^{\frac{t}{40} }[/tex]

By comparing with the form  [tex]f(t) = ae^{kt}[/tex] , we get

a = 110.0000

k = [tex]\frac{1}{40}[/tex] = 0.0250

Answer:

100 miles

Step-by-step explanation:

Given data

let the number of miles driven be x

and the total charge for x miles be y

Hence the expression for the total charge is

Rapid Rental Car

charges a $55.00 rental fee plus $0.25 per mile driven.

y= 55+0.25x--------------1

Capital Cars charges a $45.00 rental fee and $0.35 per mile driven.

y= 45+0.35x--------------2

Equate 1 and 2

55+0.25x= 45+0.35x

collect like terms

55-45=0.35x-0.25x

10=0.1x

x= 10/0.1

x= 100 miles

Hence the mile is 100 miles

Answer: Rectangle, Rhombus, Square

Step-by-step explanation:

Answer: 127 11/12

Step-by-step explanation:

1. 1/2 + 3/4 = 2/3

Change 1/2 by by multiplying by 2 to get a common denominator of fourths.

2/4 + 3/4 = 2/3?

5/4 = 2/3?

no

2. 5/8 - 1/4

Change 1/4 by by multiplying by 2 to get a common denominator of eighths.

5/8 - 2/8 = 3/8?

3/8 = 3/8 ?

yes

3/8 x 10 = 30/8

3. 4/5 +7/10 = 1 1/2

Change 4/5 by multiplying by 2 to get a common denominator tenths.

8/10 + 7/10 = 1 1/2?

15 /10 = 1 1/2?

yes

1 1/2 x 10 = 25

4. 2 1/3 - 1 5/6 = 1/6

Change 1/3 by multiplying by 2 to get a common denominator sixths.

2 2/6 - 1 5/6 = 1/6?

3/6 = 1/6

no

100 -2/3 - 1/6 + 30/8 + 25

multiply the thirds by 8. Sixths by 4. Eighths by 3 to get a common denomonator of 24ths.

100 - 16/24 - 4/24 + 90/ 24 + 25 = 125 70/24

create mixed number

127 22/24

reduce

127 11/12

Answer: I would find that the anwser would be, It requires only ½ the effort to lift the load because there is more than 1 rope arm.

Step-by-step explanation

Just took a test on this, I passed

Answer:

148 degrees

Step-by-step explanation:

360 - 74 - 138 = 148 degrees

Step-by-step explanation:

A motorist drives 146km at a certain average speed she then increases the speed by 9km/h and takes the same time to travel the next 164km.

find her speeds for both parts of the journey.

:

let s = his original speed

then

(s+9) = the increased speed

:

Write a time equation; time = dist/speed

146%2Fs = 164%2F%28%28s%2B9%29%29

cross multiply

164s = 146(s+9)

164s = 146s + 1314

164s - 146s = 1314

18s = 1314

s = 1314/18

s = 73 km/h is his original speed

:

Answer:

he would only be able to buy 2 boxes of pizza

Step-by-step explanation:

Subtract $1.99 from the $15 he has.

$15 - $1.99 = $13.01

Divide $13.01 by $4.00

$13.01/$4.00 = 3.25

There is a decimal in the final answer which means its not a whole pizza. So, the max he would be able to buy is 2 bokes of pizza

Answer:

1,3,4, and 7 will all have 42 degrees and 2,5,6 will have angles of 138 degrees

Step-by-step explanation:

since one side of a circle is always 180 degrees, you would need to subtract 180 from 138, which would give you 42 degrees, and because every angle corolates with another angle in this situation it would mean any that are in the same place either in the first or second set of angles would be the same as the other.

Answer:

Find the area of each room and add the areas

Step-by-step explanation:

Please find the full question in the attached image

the area of rectangle is length x breadth. The area of each room would be found and the three areas would be added together

for example ,

dimension of room 1 = 5 x 3

dimension of room 2 = 2 x 3

dimension of room 3 = 4 x 5

area of room 1 = 15

area of room 2 = 6

area of room 3 = 20

total area = 15 + 6 + 20 = 41

Step-by-step explanation:

Given

-2 [4 - 3x] + 5x - 2

= - 8 + 6x + 5x - 2

= 11x - 10

Hope it will help :)❤

Answer:

11x-10

Step-by-step explanation:

-8+6x+5x-2

11x-10

Answer:

x = 25.46

Step-by-step explanation:

[tex]x^2+9^2=27^2\\x^2+81=729\\x^2=648\\\sqrt{x^2} =\sqrt{648} \\x=25.46[/tex]

Answer:

$10.25

Step-by-step explanation:

Set up a system of equations, so 3c + 2m = 7 and 2c + 4m = 8, where c = the cost of coffees, and m = cost of muffins

To solve multiply the first equation by -2(3c + 2m=7) so you get -6c -4m = -14 now add the two equations

-6c - 4m = -14

2c + 4m = 8   notice that -6c + 2c = -4c and -4m + 4m cancels, then -14+8=-6

so we have -4c = -6 so c = $1.50

To solve for m, substitute c = 1.50 so 3(1.50) + 2m = 7, so solve for m so

4.5 + 2m = 7, 2m = 2.5, so m = $1.25

So now solve the final problem 6(1.50) + 1(1.25) = $10.25

Answer:

degree 3

Step-by-step explanation:

The degree of a polynomial is determined by the largest exponent of the term within the polynomial.

4x²y = 4x²[tex]y^{1}[/tex] ← with exponent 2 + 1 = 3

x² ← exponent 2

- 2y² ← exponent 2

The term with the largest exponent is 4x²y with exponent 3

Then the polynomial is of degree 3

Answer:

xy-3x=40, x=5

x(y-3)=40

y-3=(40/x)

y=(40/x)+3

y=(40/5)+3

y=8+3

y=11

If the variables x and y vary inversely then when x=-3 and y =-8

Two or more expressions with an Equal sign is called as Equation.

Since x and y vary inversely, we can write the equation:

x y = k, where k is a constant of variation.

Using the given values, we can find k:

(-4)(-6) = k

k = 24

So the equation relating x and y is:

x y = 24

To find y when x = -3, we substitute x = -3 into the equation and solve for y:

(-3) y = 24

y = -8

Therefore, when x = -3, y = -8.

To learn more on Equation:

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Answer:

rectangle

Step-by-step explanation:

Answer:  Rectangle

Step-by-step explanation: Hope this helps ! :)

Answer: The answer is 19

Step-by-step explanation: EDGE2020

The mean of the difference D = S - F is 19, which is the correct option (B).

A standard deviation (σ) is a measure of the distribution of the data in reference to the mean.

To calculate the mean of the difference D = S - F, we need to find the expected value of the difference between two random variables, one representing the scores of senior students and the other representing the scores of first-year students.

Here,

μS = 123

μF = 104

The mean of the difference is the difference of the means, so we have:

μD = μS - μF

μD = 123 - 104

μD = 19

Therefore, the mean of the difference D = S - F is 19.

Learn more about the standard deviation here:

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Answer:

Hotel B is the least expensive

Step-by-step explanation:

Given

See attachment for clear details

Required

The least expensive

To do this, we simply divide the total cost by the number of nights to get the unit price

i.e.

[tex]Unit = \frac{Price}{Nights}[/tex]

Hotel A

[tex]Nights = 3\\Price= 192[/tex]

[tex]Unit = \frac{192}{3}[/tex]

[tex]Unit = \$64[/tex] per night

Hotel B

[tex]Nights = 5\\Price= 300[/tex]

[tex]Unit = \frac{300}{5}[/tex]

[tex]Unit = \$60[/tex] per night

Hotel C

[tex]Nights = 7\\Price= 455[/tex]

[tex]Unit = \frac{455}{7}[/tex]

[tex]Unit = \$65[/tex] per night

From the calculations above;

Hotel B is the least expensive because 60 is less than 64 and 65

Answer:

Step-by-step explanation:

For the multiplication of two matrices, number of columns in 1st matrix should be equal to the number of rows of the 2nd matrix.

In the given question,

1st matrix → [tex]\begin{bmatrix}2 & 8 & 1\\ 0 & 5 & -2\end{bmatrix}[/tex]

Number of columns in this matrix = 3

2nd matrix → [5 2 1]

Number of rows in this matrix = 1

Therefore, number of columns in 1st matrix are not equal to the number of rows in the 2nd matrix.

Therefore, multiplication of matrices given in the picture is "Impossible".

Answer:

impossible

Step-by-step explanation:

accellus

Answer:

Step-by-step explanation (how to solve):

I hope this helps!

The value of x is 17

An equation between two variables that gives a straight line when plotted on a graph.

Given,

x represents a certain number

Number is multiplied by 3 = 3x

Adding 34 to the number = x+34

Given,

The number x is multiplied by 3 the result is the same as adding 34 to the number x​

Therefore

3x = x+34

3x-x =34

2x =34

x = 17

Hence, the value of x is 17

Learn more about Linear equation here

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Answer:

34.41º

Step-by-step explanation:

0.93 times 9=8.37 degrees per minute

7 times 8.37=58.59

93-58.59=34.41