What are the coordinates of G after it is translated LEFT 4 UNITS AND UP 3
UNITS?

Step-by-step explanation:

[tex]27 {x}^{3} + {y}^{6} \\ = (3x + {y}^{2} )(9 {x}^{2} - 3x {y}^{2} + {y}^{4} )[/tex]

If you want to know how it's done ask me!

Answer:

a

Step-by-step explanation:

the apple is a baddie

Answer:

f(g(x)) = 2x² + 4

Step-by-step explanation:

to evaluate f(g(x)) substitute x = g(x) into f(x) , that is

f(g(x))

= f(10x² + 5)

= [tex]\frac{10x^2+5}{5}[/tex] + 3

= [tex]\frac{10x^2}{5}[/tex] + [tex]\frac{5}{5}[/tex] + 3

= 2x² + 1 + 3

= 2x² + 4

Answer:

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Answer:

Mass of the basket of fruits ≈ 3 kg

Step-by-step explanation:

Gravitational Potential Energy is the energy stored in an object as a result of its height.

The formula is

GPE = m . g . h where m = mass, g = gravitational force (9.8 N/kg) and h = height (All measures are in metric system)

Therefore m = GPE/(g.h)

Here GPE = 44.12 and h = 1.5m
mass = 44.12 ÷ (9.8 x 1.5) = 44.12 ÷ 14.7 ≈ 3 kg

The equivalent expression for [tex][(\frac{5}{7}) ^{2}*(\frac{1}{3} )^{-3} ] ^{-1}[/tex] is [tex](\frac{7}{5}) ^{2}*(\frac{1}{3} )^{3}[/tex] (option D)

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).

Given: [tex][(\frac{5}{7}) ^{2}*(\frac{1}{3} )^{-3} ] ^{-1}[/tex] is the expession.

Now, multiplying (-1) power within the brackets,

=[tex](\frac{5}{7}) ^{-2}*(\frac{1}{3} )^{3}[/tex]

If power is in negative, fraction can be reciprocated to make the power positive. So,

=[tex](\frac{7}{5}) ^{2}*(\frac{1}{3} )^{3}[/tex]

Option D

Hence, the equivalent expression for [tex][(\frac{5}{7}) ^{2}*(\frac{1}{3} )^{-3} ] ^{-1}[/tex] can be written as [tex](\frac{7}{5}) ^{2}*(\frac{1}{3} )^{3}[/tex].

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Answer:

9

Step-by-step explanation:

The distance is the positive difference in the coordinates.

[tex]BD=|-6-3|=9 [/tex]

The probability will be:

a. P(AnB) = 0.195

b. P(AUB). = 0.95

c. P(BA) = 0.65

P(A)=0.65

P(B)=0.30

P(AIB)=0.45

The probability of the values based on the information will be:

1. P(AnB)

= 0.65 × 0.30

= 0.195

2. P(AUB)

= 0.65 + 0.30

= 0.95

3. P(BA)

= P(AnB) / P(B)

= 0.195 / 0.30

= 0.65.

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Answer:

3.76, 3.8, 13.07, 13.45

Step-by-step explanation:

Answer:

3.76, 3.8, 13.07, 13.45

Step-by-step explanation:

(a) The total commission is Rs. 1,66,666.67.

(b) The commission rate is 33.34%.

(c) The formula for commission is commission rate * money.

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Answer:

16

Step-by-step explanation:

Substitute m for 4 and n for 2

6(4)-4(2)

next multiply

6*4=24 and 4*2=8

now subtract

24-8=16

Answer:

Step-by-step explanation:16        6 times 4 =24 and 4 times 2 = 8 24 minus 8 = 16

Answer:

6.438 [litres].

Step-by-step explanation:

1) the condition '5.50 liters are removed' means the coolant 12.5-5.5=7 [litres] with 13.4% solution;

2) the condition 'coolant containing 13.4% antifreeze' means 7*0.134=0.938 [litres] of pure antifreeze in the 7 litres coolant;

3) the condition '5.50 liters of pure antifreeze is then added' means 0.938+5.5 [litres];

4) finally, it is contained 0.938+5.5=6.438 [litres] of antifreeze will be contained in the final mixture.

Answer:

173.55

Step-by-step explanation:

or if you round 174

Answer

[tex]X=-\sqrt[3]{215}[/tex]

The answer is X=-5.990726

Answer:

1 , 4 , and 6

Step-by-step explanation:

so , in a 45 45 90 triangle , the lines that are the same length are x . the hypotenuse ( the long diagonal line ) is gonna be [tex]x\sqrt{2}[/tex] . so using that i got the answers . :)

The three pairs are (AB = 6, BC = 6) (AB = 4, AC = 4√2) and (BC = 2√2, AC = 4). So, First option, Option 5. and Option 6 are correct answers.

Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.

here, we have,

The formula for a 30-60-90 triangle is this:

1) Side opposite to 30 will be value a.

2) Side opposite to 60 will be value a√3

3) Hypotenuse will be 2a.

AB is opposite of the angle with 30 degree measurement.

BC is opposite of the angle with 60 degree measurement.

The sides of an isosceles right triangle are in the ratio,

1:1:√2

where √2 is the hypotenuse.

For the example, BC = 2√2, then AC = 2√2  x √2 = 4.

Therefore, the three pairs are;

1. (AB = 6, BC = 6)

5. (AB = 4, AC = 4√2)

6.(BC = 2√2, AC = 4).

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The equation to find the number of rooms Isaac needs is r = 13.

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now it is given that,

1 room holds = 6 puppies

So, 1 puppy acquire = 1/6 room

Let r be the rooms need to house a total of 78 puppies.

Therefore, 78 puppy acquire, r = 78*1/6 room

⇒ r = 78/6 room

⇒ r = 13 room

Thus, the equation to find the number of rooms Isaac needs to house a total of 78 puppies is r = 13.

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11 00 11 00 = 204

nice :)

Infinitely many others are possible.

=================================================

Explanation:

Replace x with 0 and simplify to get...

y = 3x-5

y = 3(0)-5

y = 0-5

y = -5

When x = 0, it leads to y = -5

One ordered pair is (x,y) = (0, -5)

Let's repeat those steps for x = 1

y = 3x-5

y = 3(1)-5

y = 3-5

y = -2

Another ordered pair is (1, -2)

As you can see, we can pick anything we want for x to get some paired y output. There are infinitely many x values to pick from. This means there are infinitely many ordered pairs for (x,y).

When it comes to graphing, you only need two points at minimum to form a straight line.

Answer:

25000

Step-by-step explanation:

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Answer:

Sum of −42 and −147

=−42+(−147)=−42−147=−189

Difference of −283 and −415

=greater number−smaller number=−283−(−415)=415−283=132

Subtracting −189 from 132

=132−(−189)=132+189=321

Answer:

20 dollars

Step-by-step explanation:

Because there is 3 people according to where it said the amount of names there are and they each had to pay 6 dollars. 6 x 3 is 18. That is the price after discount. The coupon is 2 dollars so 18 + 2 is 20 dollars. That is the final price.

The division of the numbers in indices will be B. 0.35 × 10^9

It should be noted that the information is about the division of indices.

This will be:

(3.185 × 10^17) / (9.1 × 10^8)

= 0.35 × 10^9

In conclusion, the correct option is B.

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Answer:

She will have $375,769.33 in her retirement plan at the time of retirement.

Explanation:

According to the question,

Periodic Payments(P) = $200

Rate of Return(r) = 12%(annual)

                           [tex]=\frac{12}{12}%[/tex]  

                           = 1% monthly

                           = 0.01

Number of payments(n) = 65 - 40

                                        = 25(annual)

                                        = 25 × 12 monthly

                                        = 300 monthly

Future value =?

The formula for calculating future value is:

Future Value = [tex]P[\frac{(1+i)^{n}-1 }{i}][/tex]

                      = [tex]200[\frac{(1+0.01)^{300}-1 }{0.01}][/tex]

                      = [tex]200[\frac{19.7884663-1}{0.01}][/tex]

                      = 200[1878.84663]

                      = 375,769.326

                      = 375,769.33

Final Answer:

Therefore, the future value of her retirement when she retires is

$ 375,769.33 .

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Answer:

f(n) = 59,000(1.08m - 1)

Step-by-step explanation:

The estimated result of 219 ÷ 15, by first rounding each number and then dividing, we get the result as 11.

We are given the expression:

219 ÷ 15

We need to estimate the result by first rounding off the digits to nearest tens and then performing division to get the answer.

So, we will first do the round off.

219 will be rounded off to 220

15 will be rounded off to 20

So, the expression will become:

220 ÷ 20

So, now performing the division, we get that:

= 11

Therefore, the estimated result of 219 ÷ 15, by first rounding each number and then dividing, we get the result as 11.

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