the sum of two numbers is 68. the larger number is 14 more than the smaller number. what are the numbers?

[tex]\left(\dfrac{3^8}{3^5} \right)^3\\\\\\=\left(3^{8-5}\right)^3\\\\=(3^3)^3\\\\=(3)^{3\cdot 3}\\\\=3^9[/tex]

Answer:

20.

Step-by-step explanation:

Plugging m = 7 and n = 5 into the given expression:

Answer = 4 + (7 - 5)^4

= 4 + 2^4

= 4 + 16

= 20.

The statement that accurately describes what Marisol should do next is that Marisol should go back and group the terms in Step1 as (6x³– 22x²) – (9x – 33) and it can be determined by using the factorization method.

Marisol grouped the terms and factored the GCF out of the groups of the polynomial [tex]\rm 6x^3- 22x^2- 9x + 33[/tex].

To factor out the common GCF out of the group, the following steps should have been taken by Marisol.

Marisol grouped the terms and factored the GCF out of the groups of the,

To factor out the common GCF out of the group, the following steps should have been taken by Marisol following all the steps given below.

        [tex]\rm= 6x^3- 22x^2- 9x + 33\\\\= (6x^3-22x^2) - (9x-33)[/tex]

        [tex]= (6x^3-22x^2) - (9x-33)\\\\= 2x^2(3x^2-11) -3(3x-11)\\\\= (2x^2-3) (3x-11)[/tex]

Hence, The statement that accurately describes what Marisol should do next is that Marisol should go back and group the terms in Step1 as (6x³– 22x²) – (9x – 33).

For more details about Polynomial refer to the link given below.

https://brainly.com/question/25914835    

[tex]\huge \bf༆ Answer ༄[/tex]

The Correct choice is ~ D

The given triangles are not congruent, because they they just have all their corresponding angles equal to one another, so we need more information ~

Answer:

all real numbers i think

Step-by-step explanation:

The given quadratic equation gives the parameters of the shape of the

graph of the equation.

Reasons:

The given function is n(t) = -2.82·t² + 25.74·t + 60.87

by analyzing the above function, we have;

At t = 0

n(0) = -2.82 × 0² + 25.74 × 0 + 60.87 = 60.87

Which gives;

[tex]\displaystyle t = -\frac{25.74}{2 \times (-2.82)} \approx 4.564[/tex]

The maximum value of the function is therefore;

n(4.564) = -2.82 × 4.564² + 25.74 × 4.564 + 60.87 ≈ 119.61

The characteristics of the equation are;

Initial value of equation = 60.87

t-coordinate of the maximum point, t ≈ 4.564

Maximum value of the of the function = 119.61

By comparing with the given graphs, we have;

Therefore, the graph that will most likely be associated with the model is; graph B.

Learn more about graphs of quadratic equations here:

https://brainly.com/question/10989920

Answer:

The correct answer is graph B.

Step-by-step explanation:

I got it right on the Edmentum test.

Answer:

Step-by-step explanation:

Two hats were collected in the second month (5-3) =2.

Answer:

[tex]y=\frac{-x-3}{-2}[/tex]

Step-by-step explanation:

1. The first thing you should do is put it equal to 0:

   [tex]x-2y+3=0[/tex]

2. You want to get y by itself so the next thing you do is subtract 3 to the other side because it is being added right now. It should look like this:

[tex]x-2y+3=0[/tex]

            -3    -3

 [tex]x-2y=-3[/tex]

3. Since x is also being added on the left side of the equation you want to get x to the other side so you do the opposite of addition (subtraction) and subract the x to the other side of the equation:

 [tex]x-2y=-3[/tex]

-x              -x

[tex]-2y=-x-3[/tex]

4. The next thing you want to do is get rid of that -2. Right now it is being multiplied by the y and the opposite of multiplication is division, so you are going to want to divide -2 by both sides of the equation.

[tex]\frac{-2y}{-2} =\frac{-x-3}{-2}[/tex]

5. The -2's cancel out and the right side of the equation cannot be simplified anymore which makes the new or equivalent equation:

[tex]y=\frac{-x-3}{-2}[/tex]

I think the answer would be D. 10 is closest to 0.9997

Answer:

18 units²

Step-by-step explanation:

Find the side lengths then multiply the length and width to find the area.

Answer:

B

Step-by-step explanation:

The Government Soldiers didn't knew that they were Americans

Answer:

B) the government soldiers did not know the climbers were Americans when they started shooting at them.

Step-by-step explanation:

the other answers don't make sense.

There was no mention of A) a message C) not knowing how to communicate

D) trying to warn about the rebels.

By context clues, we can infer that when it was revealed that they were Americans, they realized they were on the same side and began to help them and stopped shooting at them.

Answer:

Step-by-step explanation:

any minus temperature is < 7oC

0 is < 7oC

1 ... 6 is < 7oC

Answer:

24

Step-by-step explanation:

all odd numbers possible: 1, 3, 5, 7

__ __ __ __

there are 4 possibilities for the first blank

for the second blank there are 4-1 = 3 possibilities as one of the numbers will have been used

for the third blank there are 4-2 = 2 possibilities as 2 of the numbers have been used

for the last blank there is only 1 possibility

so the number of solutions possible is 4 x 3 x 2 x 1 = 24

Answer:

(u+2)-8

Step-by-step explanation:

sum is addition, less than is subtraction

Answer:

  Option 2

Step-by-step explanation:

The account balance multiplier for the compound interest option is ...

  (1 +r)^t = 1.05^8 ≈ 1.477455

The account balance multiplier for the simple interest option is ...

  (1 +rt) = 1 +0.06·8 = 1.48

Jadwa should choose option 2 for this investment. It will earn about £5.09 more in interest over the 8-year period.

_____

£2000 · (1.48 -1.477455) ≈ £5.09

__

In the above formulas, r is the interest rate, and t is the number of years.

Answer:

40

Step-by-step explanation:

so it is 3X3 +13 =40

Answer:

Circumference of a circle

42. 51 $\♤ ●gd rgbdyfurudgdhsuxu

Answer:

X = 12

Step-by-step explanation:

8(12) = 96

Answer:

negative numbers don't have square roots. a square is either positive or 0, so your questions answer doesn't exist. if you want positive 7 though, 5.291502... etc

Answer:

B

Step-by-step explanation:

Answer:

b. d>-3/5

Step-by-step explanation:

L.C.M=5

5×1/5>5×d+4/5×5

1>5d+4

1-4>5d

-3>5d

-3/5>5d/5

-3/5>d

Answer:

-8

Step-by-step explanation:

-2*(x+5)=6

Divide both sides by -2

x+5=-3

x=-3-5

x=-8

Answer:

1.4722, 2.901, 2.9, 2.91

Step-by-step explanation:

Step-by-step explanation:

an object and its shadow create a right-angled triangle.

2 objects and their shadows create 2 similar right-angled triangles.

that means the angles are the same, and the side lengths of one triangle all correlate with the corresponding side lengths of the other triangle via the same factor.

so,

42 × f = 6

f = 6/42 = 1/7

the length of Joel's shadow is then

20 × f = 20 × 1/7 = 2.857142857... ft

Answer:

  (b)  3 +x = 12

Step-by-step explanation:

To solve these for x, you would ...

  a) divide by 3

  b) subtract 3

  c) add 3

  d) multiply by 3

The subtraction property of equality says you can subtract the same value from both sides of an equation without affecting the value of the variable(s). It is applicable when you need to subtract a quantity in order to get the variable by itself.

Solving 3 +x = 12 would make use of the Subtraction Property.