Rewrite using only positive exponents.​

Answer:

x=27

Step-by-step explanation:

Answer:

a = 70

Step-by-step explanation:

a = h * b / 2

a = 10 * 14 / 2

a = 140/2

a = 70

Answer:

A not similar

Step-by-step explanation:

These triangles are not similar

<K would have to equal either angle E or D since angle F equals angle F

E = 50 and D = 58   and K = 49 so K does no equal E or D so they cannot be similar

Answer: 0.34

Step-by-step explanation:

From the question, 14 adults and 20 children attended a piano recital. This means that there are 14 + 20 = 34 people who attended the paint recital.

If two people are selected to receive door prizes at the recital, the probability of selecting the first child will be 20/34 while the second child will be 19/33. To get the probability of both being children, we have to multiply the fractions

= 20/34 × 19/33

= 380/1122

= 0.34

Answer:

y = x² + 18x + 94

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 9, 13) and letting a = 1, then

y = (x + 9)² + 13 ← expand (x + 9)² using FOIL

   = x² + 18x + 81 + 13

   = x² + 18x + 94

So the right answer is -7.

Look at the attached picture

Hope it will help you...

Good luck on your assignment

Answer:

2x+3 = x-4

Step-by-step explanation:

X = -7

2 x -7 + 3 = -11

-7 - 4 = -11

Therefore, X is -7 since both sides are equivalent and equal to -11

Answer:

C (148)

Step-by-step explanation:

All numbers divisible by 3:

The numbers equal to something divisible by 3

ex:

138=

1+3+8= 12 which is divisible by 3, so 138 is divisible by 3

Answer:

138

Step-by-step explanation:

We know that if the sum of the numbers that make up 138 is divisible by 3, then 138 is divisible by 3. Note: If you divide 138 by 3, you get 46 which is a whole number.

Answer:

or Six Sigma Quality, one can fit 6 Sigmas between UCL and LCL.

6 Sigmas can be fit between upper control limit and lower control limit.

It is a statistical process that is used to determine if the process is stable and in control or not.

Standard deviation function is the easiest way to know whether the product would be faulty or not.

Step-by-step explanation:

here is your answer let me know when you get it right and please rate me the brsainlest

Answer: 0.3821

Step-by-step explanation: 0.3821 of exam scores are below Kamil’s score

Answer: 0.3821

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

800/8 = 100

sooo.......

120/8 = 15

15/100

hope this helps ! :)

The angles that make a straight line are called linear pair of angles.

Given are two adjacent angles.

Two adjacent angles that make a straight line are called linear pair of angles.

Therefore, the angles that make a straight line are called linear pair of angles.

To solve more questions on angles, visit the link below -

brainly.com/question/15373309

#SPJ2

Step-by-step explanation:

Step 1:  Solve using the first point

(2, 28)

[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]

[tex]28 = 8a + 4b + 2c + d[/tex]

Step 2:  Solve using the second point

(-1, -5)

[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]

[tex]-5 = -a + b - c + d[/tex]

Step 3:  Solve using the third point

(4, 220)

[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]

[tex]220 = 64a + 16b + 4c + d[/tex]

Step 4:  Solve using the fourth point

(-2, -20)

[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]

[tex]-20 = -8a + 4b - 2c + d[/tex]

Step 5:  Combine the first and fourth equations

[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]

[tex]8 = 8b + 2d[/tex]

[tex]8 - 8b = 8b - 8b + 2d[/tex]

[tex](8 -8b)/2 = 2d/2[/tex]

[tex]4 - 4b = d[/tex]

Step 6:  Solve for c in the second equation

[tex]-5 + 5 = -a + b - c + d + 5[/tex]

[tex]0 + c = -a + b - c + c + d + 5[/tex]

[tex]c = -a + b + d + 5[/tex]

Step 7:  Substitute d with the stuff we got in step 5

[tex]c = -a + b + (4 - 4b) + 5[/tex]

[tex]c = -a + b + 4 - 4b + 5[/tex]

[tex]c = -a - 3b + 9[/tex]

Step 8:  Substitute d and c into the first equation

[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]

[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]

[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]

[tex]6 / 6 = (6a - 6b) / 6[/tex]

[tex]1 + b = a - b + b[/tex]

[tex]1 + b = a[/tex]

Step 9:  Substitute a, b, and c into the third equation

[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]

[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]

[tex]220 - 100 = 60b + 100 - 100[/tex]

[tex]120 / 60 = 60b / 60[/tex]

[tex]2 = b[/tex]

Step 10:  Find a using b = 2

[tex]a = b + 1[/tex]

[tex]a = (2) + 1[/tex]

[tex]a = 3[/tex]

Step 11:  Find c using a = 3 and b = 2

[tex]c = -a - 3b + 9[/tex]

[tex]c = -(3) - 3(2) + 9[/tex]

[tex]c = -3 - 6 + 9[/tex]

[tex]c = 0[/tex]

Step 12:  Find d using b = 2

[tex]d = 4 - 4b[/tex]

[tex]d = 4 - 4(2)[/tex]

[tex]d = 4 - 8[/tex]

[tex]d = -4[/tex]

Answer:  [tex]a = 3, b = 2, c = 0,d = -4[/tex]

Answer:

x = 8

Step-by-step explanation:

Answer:

y=31.4

Step-by-step explanation: Just add 18.4 to 13.

Answer:

y=31.4

Step-by-step explanation:

18.4+13

Answer:

1:5, 5, 15

Step-by-step explanation:

The original ratio of red marbles to white marbles is 6:30 and you need to know how many white marbles are expected with 3 red marbles so you have to make the # of red marbles 3 so you can divide by 2 and you'll get 15 white marble or you could've divided both sides by 6 and get the ratio of red marbles to white marbles as 1:5 and you can see that for every one red marble there is 5 white marbles.

Answer:

[tex]\huge\boxed{A=x^2+12x+35}[/tex]

Step-by-step explanation:

The formula of an area of a rectangle:

[tex]A=lw[/tex]

l - length

w - width

We have

[tex]l=x+7\\\\w=x+5[/tex]

Substitute:

[tex]A=(x+7)(x+5)[/tex]

Use FOIL (a + b)(c + d) = ac + ad + bc + bd

[tex]A=(x)(x)+(x)(5)+(7)(x)+(7)(5)\\\\A=x^2+5x+7x+35[/tex]

combine like terms

[tex]A=x^2+(5x+7x)+35\\\\A=x^2+12x+35[/tex]

288.64

this is the real answer the last one was a mistake

Answer:

63.4°

Step-by-step explanation:

Given that AB and BC are the legs of the right triangle, then opposite to angle A is side BC and adjacent to angle A is side AB.

By definition, the tangent of angle A is:

tan(∠A) = opposite leg / adjacent leg

tan(∠A) = BC/AB

tan(∠A) = 12/6

∠A = arctan(2)

∠A = 63.4°

Answer:

Step-by-step explanation:

d = 17 cm

r = 17/2 = 8.5 cm

Circumference of circle = πd

                                       = 3.14 * 17

                                       = 53.38 cm

Area of circle = πr²

                       = 3.14 * 8.5 * 8.5

                       = 226.865 cm²

Answer:

Probability that 3 out of the next 5 voters approving the proposal is 0.3125.

Step-by-step explanation:

We are given that the sample probability of the voters approving the proposal is 50% and Political scientists want to determine the probability of exactly 3 out of the next 5 voters they meet approving a proposal.

The above situation can be represented through binomial distribution;

[tex]P(X=r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,.....[/tex]

where, n = number of trials (samples) taken = 5

            r = number of success = exactly 3

            p = probability of success which in our question is probability of

                  the voters approving the proposal, i.e; p = 50%

Let X = Number of voters approving the proposal

So, X ~ Binom(n = 5 , p = 0.50)

Now, Probability that 3 out of the next 5 voters approving the proposal is given by = P(X = 3)

               P(X = 3)  =  [tex]\binom{5}{3} \times 0.50^{3} \times (1-0.50)^{5-3}[/tex]

                              =  [tex]10 \times 0.50^{3} \times 0.50^{2}[/tex]

                              =  0.3125

Answer:

-2/3 or -4/6

Step-by-step explanation:

the same number.

Answer:

A. 5^4 / 11^16

Explanation:

multiply the exponents

Answer:

Original side of triangle = 6 units

Step-by-step explanation:

Given:

Perimeter = 45 units

Scale factor = 2.5 (Increase)

Find:

Original side of triangle = ?

Computation:

Original Perimeter = Perimeter / Scale factor

Original Perimeter = 45 units / 2.5

Original Perimeter = 18 units

Perimeter of an equilateral triangle = 3 (Side)

18 units = 3 (Side)

Side = 6 units

Original side of triangle = 6 units

Answer:

$49

Step-by-step explanation:

Cost of security system installation = $50

Let the monthly service cost be $x

tax percentage = 6% of monthly service  cost

hence if monthly service cost is $x

Then Tax value in terms of x is =   6% of  $x  = 6/100 * $x =$ 0.06x

_______________________________________________

Therefore total cost incurred by Trevor in 6 month including installation charges =

6 month monthly service cost + Tax value in 6 month + installation cost

Substituting value of 6 month monthly service cost , Tax value in 6 month , installation cost in above expression we have

Therefore total cost incurred by Trevor in 6 month including installation charges = $6x+  $0.36x+ $50 = $6.36x + $50

But it is given that After 6 months, Trevor had paid a total of $361.64 for his service fee, taxes, and his initial installation

Therefore total cost incurred by Trevor in 6 month including installation charges  is also equal to $361.64

Hence,

$6.36x + $50 = $361.64

=> $6.36x = $361.64 - $50

=>$6.36x = $311.64

=> x = $311.64/6.36

=> x = 49.

Therefore , Trevor’s monthly service fee, not including taxes is $X which is equal to $49.

Answer:

D) 35

Step-by-step explanation:

angles that are opposite are equal, so the 45 degree angles is in th triangle too. angles on a straight lines are equal to 180, so 180 - 80 = 100.

So far we have two of the angles, 100+45=145

Angles in a triangle are equal to 180, so 180-145 =35

vertically opposite angles are the same, so the ? is 35 degrees

Hope that helps

Answer:

30 years

Step-by-step explanation:

41 minus 11=