Naomi starts the engine on her small private airplane. The engine drives a propeller with a radius of 8 feet and its centerline 13 feet above the ground. At idle, the propeller rotates at a constant speed of approximately 700 revolutions per minute. The height of one propeller tip as a function of time is given by h = 13 + 8 sin(700t), where h is the height in feet and t is the time in minutes. Use degrees to find h when t = 4 minutes.

Use distributive property:

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

(x - 2)(x - 5) = (x)(x) + (x)(-5) + (-2)(x) + (-2)(-5) = x² - 5x - 2x + 10

in the number line, the end points are DG, and the point in between is O

DG = 88

DO = 5x + 12

OG = 2x

Set the equation. The two parts (DO & OG) are equal to the whole (DG)

2x + 5x + 12 = 88

Simplify. Combine like terms

(2x + 5x) + 12 = 88

7x + 12 = 88

Isolate the x. Remember to do the opposite of PEMDAS. Subtract 12 from both sides

7x + 12 (-12) = 88 (-12)

7x = 76

Isolate the x. Divide 7 from both sides:

7x/7 = 76/7

x = 76/7

----------------------------------------------------------------------------------------------------------------------------

Find DO. Plug in "76/7" for x:

DO = 5x + 12

DO = 5(76/7) + 12

Simplify. Remember to follow PEMDAS. Multiply 76 with 5

DO =  380/7 + 12

Next, divide 380 with 7

DO = 54.29 (rounded)

Finally, add

DO  = 54.29 + 12

DO = 66.29

66.29 is your answer

hope this helps

55/20=2 as qutiont and 15 as remainder

2X84=168

15X5=75

answer=243

it should be about 4-5 hours because her mom sleeps half the time that Mei sleeps!! you are welcome!

Answer:

40th customer

Step-by-step explanation:

Given that there is a promotional event

A sporting good store gave t shirt and free water bottle.

T shirt was given to 8th customer and water bottle to every 10th customer.

For the first person who should get both, he should have number as least common multiple of 8 and 10

8 = 2x2x2

10 = 2x5

Hence least common denominator = 2x2x2x5 = 40

Thus 40th customer will be the first to get both.

Answer:

answer is 1/7

Step-by-step explanation:

Given that there were some orange balls in a bag.

The probability of choosing two orange balls without replacement is 1/35 , and the probability of choosing one orange ball is 1/5 .

We have to find out the probability of drawing a second orange ball, given that the first ball is orange

Let A - I ball orange

B = II ball orange

Then P(AB) = 1/35 (given)

P(A) = 1/5 (given)

The probability of drawing a second orange ball, given that the first ball is orange = P(B/A)

=P(AB)/P(A)

= 1/35 divided by 1/5

= 1/7

answer is 1/7

Answer: 1/7

Step-by-step explanation:

[tex]5\cdot5\cdot4\cdot4\cdot3\cdot3\cdot2\cdot2\cdot1\cdot1\cdot2=28,800[/tex]

I think it is B. If you drew a graph of this and the x axis was time and the y axis is the  enrollment then you would get 3  different x values and  1 y value. That's still a function. I've drawn it below.

The expression would be m - 4 because if Marty ran 4 more miles than Shana, that means that Shana ran 4 less miles than Marty.

The four inequalities are less than, less than or equal to, greater than, and greater than or equal to. Less than means that a number is less than the other number. For example, if you say 4 is less than 7 it is because 4 is less than 7 by 3 which makes 7 value more than 4. For less than or equal to, it means that the number or variable is less than or the same number as the other number. For example, if you say x is less than or equal to 9, that means that x is less than 9 or equal to 9. For greater than, it means that the variable is greater than the other number. For example, if x if greater than 10 than the variable has to be greater than 10 or 11 and so on. For greater than or equal to, it means that the variable is greater than the other number or equal to that number. For example, if x is greater than or equal to 12, then x is greater than 12 or 13 and up or x is equal to 12 or x is 12.

Your answer is 28x^2-37x+12

1) Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd

28x^2-21x-16x+12

2) Collect like terms

28x^2+(-21-16x)+12

3) Simplify

28x^2-37x+12

Use FOIL

28x-21x-16x+12

-9x+12

Hey there!!

What is the area of a rectangle?

The area of a rectangle = Length × Breadth

Given :

Length is 6m longer than the width.

Hence, length = 6 + breadth

Area = ( 6 + breadth ) ( breadth )

Area = 6 breadth + breadth²

Area = 775

Hence, 775 = 6 breadth + breadth²

( Let's take the breadth as ' b ' )

775 = 6b + b²

... b² + 6b - 775 = 0

... b² - 25b + 31b - 775 = 0

... b ( b - 25 ) + 31 ( b - 25 ) = 0

... ( b + 31 ) ( b -25 ) = 0

There are two solutions found :

b + 31 = 0 and b - 25 = 0

Hence,

b = -31 and b = 25

As the values can not be in negatives, we take 25

Hence, the value of the breadth is 25.

Length = 6 + b

Length = 31

Hence, the value of the length = 31

Hope my answer helps!!

Your answer would be D, The translation doesn't change the size or shape. Just location.

Hope this helped.

Answer:

A) (0, 2)

Step-by-step explanation:

Rewriting the second equation to the same form as the first, it becomes

... 1/2y = x + 1

... y = 2x + 2

Now, it is clear that both equations have the same y-intercept at y=2, so that is the solution.

... (x, y) = (0, 2)

(2x+1)+89=180.  180 is the angle of a straight line.  Set your two known sides equal to 180 and solve for x if needed.

Answer:

i think that the best answer to the question is b

Step-by-step explanation:

Answer:

Step-by-step explanation:

The standard form of an equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

The formula of a distance between two points:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have the center (-2, 1) → h = -2 and k = 1.

The radius is the distance between the center and the given point.

Therefore put the coordinates of the points (-2, 1) and (-4, 1) to the formula of a distance between two points:

[tex]r=\sqrt{(-4-(-2))^2+(1-1)^2}=\sqrt{(-2)^2+0^2}=\sqrt{4}=2[/tex]

We have the equation in standard form:

[tex](x-(-2))^2+(y-1)^2=2^2\\\\(x+2)^2+(y-1)^2=4[/tex]

Convert to the genereal form using:

[tex](a\pm b)^2=a^2\pm2ab+b^2[/tex]

[tex](x+2)^2+(y-1)^2=4\\\\x^2+2(x)(2)+2^2+y^2-2(y)(1)+1^2=4\\\\x^2+4x+4+y^2-2y+1=4\\\\x^2+y^2+4x-2y+5=4\qquad\text{subtract 4 from both sides}\\\\\boxed{x^2+y^2+4x-2y+1=0}\to\boxed{B.}[/tex]

Answer: x = -1, -3, 7 + √62, 7 - √62

Step-by-step explanation:

q                                    p

x⁴ - 10x³ - 66x² - 94x - 39

[tex]\frac{p}{q}[/tex] = +/- [tex]\frac{1*3*13*39}{1}[/tex]

possible rational factors: 1, -1, 3, -3, 13, -13, 39, -39

Use synthetic division or long division to see which factor will leave a remainder of 0.

try x + 1 = 0  ⇒   x = -1

-1   |  1     -10     -66     -94     -39

    |  ↓     -1        11        55      39

       1     -11      -55     -39       0

(x + 1)(x³ - 11x² - 55x - 39)        

next, try x + 3 = 0  ⇒   x = -3   for the new polynomial

-3   |  1     -11     -55     -39

     |  ↓     -3       42     39

        1     -14      -13       0  

(x + 1)(x + 3)(x² - 14x - 13)

Lastly: find the zeros by setting each factor equal to zero and solve.

x + 1 = 0  ⇒  x = -1

x + 3 = 0   ⇒ x = -3

x² - 14x - 13 = 0

[tex]x = \frac{-(b) +/- \sqrt{(b)^{2} -4(a)(c)}}{2(a)}[/tex]

  [tex]= \frac{-(-14) +/- \sqrt{(-14)^{2} -4(1)(-13)}}{2(1)}[/tex]

  [tex]= \frac{14 +/- \sqrt{196+52}}{2}[/tex]

  [tex]= \frac{14 +/- \sqrt{248}}{2}[/tex]

  [tex]= \frac{14 +/- 2\sqrt{62}}{2}[/tex]

  [tex]= 7 +/- \sqrt{62}[/tex]

Answer:

2.06

Step-by-step explanation:

you should divide the 10.30 dollars by 10 which wlll give you the answer of one of them then you just multiply what you got by 2 ((:

To find the cost for 2 rubber stamps from the given information about 10 rubber stamps costing $10.30, the cost for 2 stamps is $2.06.

The cost for 10 rubber stamps is $10.30. To find the cost for 2 rubber stamps, we need to calculate the cost per rubber stamp and then multiply it by 2.

Cost per rubber stamp = Total cost / Number of rubber stamps = [tex]\frac{10.30}{10} = 1.03[/tex]

Cost for 2 rubber stamps = $1.03 per rubber stamp [tex]\times[/tex] 2 rubber stamps = $2.06

a. is Substitution Property

b. might be definition of supplementary angles

Answer:

B is the sum of adjacent angles is 180 degrees

Step-by-step explanation:

It is showing you that m∠3 and m∠4 "=" 180

We are given a figure where M, N , O and P points are given.

We need to explain if points O, N, and P collinear or not.

Note: All co-linear points are in a straight line.

From the figure, we can see that O and N points are in a straight line but point P is aside.

So, the points O, N, and P are not collinear.

Therefore, correct option is "No, the three points are not collinear".

 mowing lawns: 7 * $7.90 = $55.30

+      babysitting: 1 * $6.90 = $  6.90

                                              $62.20

Answer: $62.20

Answer:

13.33

Step-by-step explanation:

Initial velocity of the ball (u) = 80 ft/ sec

Final velocity of the ball after reaching the ground (v) = 0

Distance covered by the ball to reach the ground (s) = 8 ft

Let "a" be the acceleration of the ball.

We know, [tex]2as=v^{2}-u^{2}[/tex]

[tex]2a(8)=0-80^{2}=-6400[/tex]

[tex]a=-\frac{6400}{16}[/tex]

[tex]a=-400ft/s^{2}[/tex]

Let "t" be the time required to reach the ground.

We know,

[tex]v=u+at[/tex]

[tex]t=\frac{v-u}{a}[/tex]

[tex]t=\frac{0-80}{-400}[/tex]

[tex]t=0.2s[/tex]

The ball will hit the ground in 0.2 second.

Answer:

a) 0.70

b) 0.30

c) 12/45 =4/15

d) 2/45

Step-by-step explanation:

a) Prob of drawing a marble red or white = No of red and white marbles/total marbles

= 7/10 = 0.70

b)  Prob of drawing a marble neither red nor white = 1-7/10 = 0.30

c)  Prob of drawing two marble one red and one  white at the same time

= [tex]\frac{4C1 (3C1}{10C2 } =\frac{12}{45}[/tex]

d) Prob of drawing two marble one blue and orange  white at the same time

= [tex]\frac{2C1 (1C1}{10C2 } =\frac{2}{45}[/tex]

Answer:

No.  He is short by 2 minutes

Step-by-step explanation:

Given that Denzel can mow 1/8 of his yard every 7 minutes.

Hence he can mow the full yard in 7(8) = 56 minutes.

Now he has to do 3/4 of his yard and time is 40 minutes

For 3/4 of yard time taken would be = 3/4 (56) = 42 minutes.

If he had 40 minutes to mow 3/4 of the yard, he will not  have enough time  since he is short of time by 2 minutes.

Answer:

Amount John gets paid per hour [tex]6.92[/tex] Dollars per hour ,

Step-by-step explanation:

To find how much he gets paid per hour we need to divide the total payment he received by the total number of hours he worked.

Amount John gets paid per hour = [tex]\frac{173}{25}[/tex] Dollars per hour.

                                                       =[tex]6.92[/tex] Dollars per hour

Answer: He needs to answer 20 emails.

Step-by-step explanation:

Given : Jim has answered 7 e-mails .  (1)

This  is 35% of the e-mails he must answer .

We can write 35% as 0.35.

Let x be the number of emails  he need to answer.

Then, Number of mails he has answered = 0.35x  (2)

From (1) and (2), we have

[tex]0.35=7\\\\\Rightarrow\ x=\dfrac{7}{0.35}=\dfrac{700}{35}=20[/tex]

Hence, he needs to answer 20 emails.

Remember that when two angles are vertical angles, their angle measurements are the same, as the angles are congruent.

Note the Vertical Angle Theorem. Angles vertically opposite (directly opposite) when two lines intersect are congruent with each other.

Now note that supplementary means 180°

Set the equation. Let the angles = x

2x = 180

Isolate the x. Note the equal sign. What you do to one side, you do to the other. Divide 2 from both sides

(2x)/2 = (180)/2

x = 180/2

x = 90

90° is the measurement of each angle.

~Rise Above the Ordinary