The equation −16x2 + 10x + 15 = 0 represents the height, in feet, of a flotation device above the water after x seconds. The linear term represents the initial velocity. The constant term represents the initial height.
a. If the initial velocity is 0, when should the flotation device land in the water?
b. If the initial height is 0, when does the flotation device land in the wate

Answer:

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Answer:

r<−0.9

Step-by-step explanation:

Let's solve your inequality step-by-step.

r+0.2<−0.7

Step 1: Subtract 0.2 from both sides.

r+0.2−0.2<−0.7−0.2

r<−0.9

Answer:

[tex] \: [/tex]

Step-by-step explanation:

Parallelogram is a quadrilateral whose both pairs of opposite sides are parallel and equal and opposite angles are also equal.

[tex] \: [/tex]

So,

[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { \angle P = \angle R}}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ \pmb{ \sf { 6x - 10 = 2x + 50}}}} \: \: \\ \\[/tex]

Subtracting 2x from both sides we get :

[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { 6x - 10 - 2x = 2x + 50 - 2x}}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ \pmb{ \sf { 4x - 10 = 50 }}}} \: \: \\ \\[/tex]

Adding 10 to both sides we get :

[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { 4x - 10 + 10 = 50 + 10 }}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ \pmb{ \sf { 4x = 60 }}}} \: \: \\ \\[/tex]

Dividing 4 from both sides we get :

[tex]{ \longrightarrow \qquad{ \pmb{ \sf { \frac{4x}{4} = \frac{60}{4} }}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ \pmb{ \frak { x = 15 }}}} \: \: \\ \\[/tex]

Therefore,

Answer:

40

Step-by-step explanation:

since they are Similar

m∠E = m∠A =40°

Answer: 3/4

Step-by-step explanation:

The probability that you will land on either red or blue is equal to the sum of the probability that you will land on red and the probability you will land on blue.

The probability you will land on red is 1/2 and the probability that you will land on red is 1/4 by the image.

Therefore, the probability you will land on either is 1/4 + 1/2 = 3/4

Answ1/6

Step-by-step explanation:

1/3 divided by 2

we can change the division sign into multiplication by flipping it and this will also inverse 2

so now we will have

1/3 x 1/2

=1/6

Answer:

Step-by-step explanation:

Answer:

27 penguins and 43 bears

i hope thats right lol

Step-by-step explanation:

Answer:

  64

Step-by-step explanation:

100% is twice 50%, which is 32.

64 is twice 32, so is 100%

Answer:

[tex]\displaystyle 7 = x[/tex]

Step-by-step explanation:

These are alternate interiour angles, and the theorem states that they are congruent, so set both expressions equivalent to each other:

[tex]\displaystyle 10x - 5 = 8x + 9 \Rightarrow \frac{-14}{-2} = \frac{-2x}{-2} \\ \\ \boxed{7 = x}[/tex]

I am joyous to assist you at any time.

Answer:

i think its 54054

Step-by-step explanation:

Answer:

If the 7 x 2 is in parenthesis then you would do the 7 x 2 first then do 14 by the power of 3. If there is no parenthesis and the power of 3 is hovering next to the 2 then you would do 2 to the power of 3 and then multiply that by 7.

Step-by-step explanation:

PEMDAS. Whatever is in parenthesis gets solved first, then exponents and so on and so forth.

Rhombus or square.

Hope it helps!

Answer:

480

Step-by-step explanation:

60% of 800

= [tex]\frac{60}{100}[/tex] × 800

= 0.6 × 800

= 480 ← number of students who take the bus

Answer:

B step by step is the answer

Answer:

Step-by-step explanation:

x + y = 16

.75x + .65y = 11

75x + 65y = 1100

-75x - 75y = -1200

-10y = -100

y= 10 organes

x + 10 = 16

x = 6 apples

x= 6 apples

y = 10 oranges

Answer:

yes

Step-by-step

The model that can be used to determine the total amount of prize money based on the value of the first place prize is as follows;

Total amount of price money = 5x - 500

The prices are given to the best 5 acts. The first place wins the most money and each place after that wins $50 less than the previous place. The pattern follows a sequence.

Sequence  is a list of things (usually numbers) that are in order. Therefore,

let

the first price = x

The common difference of the sequence would be - 50.

To create a model that can be used to determine the total amount of prize money based on the value of the first place prize can be done as follows;

Therefore,

Total amount of price money = x + x - 50 + x - 100 + x - 150 +  x - 200

Total amount of price money = 5x - 500

learn more on model here: https://brainly.com/question/2400667

Answer:

D

Step-by-step explanation:

Answer: 33

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

Area of a triangle = [tex]\frac{bh}{2} \\[/tex] (base × height ÷ 2)

A = 6 · 11
       2

A = 66
      2

A = 33

Answer:

60

Step-by-step explanation:

since 15 apples makes 3 pies you divided 15 by 3 and get 5. 5 apples for one pie so that would be 5 x 12 = 60

Answer:

Since with 15 apples we are able to make 3 pies, this means that in each pie there are 5 apples (15apples divided by 3 pies = 5 apples.)

If there are 12 pies we simply have to multiply 12x5 which equals 60, this means that if we needed to make 12 pies we would need 60 apples.

15apples:3pies   =   60apples:12pies

Answer:

The integers are closed under addition, multiplication and subtraction, but NOT under division

Step-by-step explanation:

9 ÷ 2 = 4½

The best representation of the population is; C. Ask 100 parents at the local playground

In statistics, a population is the entire group that you want to draw conclusions about. Whereas, a sample is the specific group that you will collect data from.

Now, the family committee want to select a movie that will appeal to families with young children. Thus, it will be best for them to ask the parents of children as that will be a true representation of what the families would like to watch.

In conclusion, the only correct option is option C to ask 100 parents at the local playground

Read more about population at; https://brainly.com/question/7301139

Answer:

Yes, the corresponding sides are proportional.

Yes, the corresponding angles are all congruent.

Step-by-step explanation:

The sides are proportional with a ratio of 0.6. The angles are all right angles, making them congruent. Therefore, the two shapes are similar.

I hope this helps!

Step-by-step explanation:

Let find the other trig function first, just sin s and sin c.

Use pythagoren identity to find sin a.

[tex]1 - \cos {}^{2} (s) = \sin {}^{2} (s) [/tex]

cos s=3/5 so cos^2(s)=9/25

[tex]1 - \frac{9}{25} = \sin {}^{2} (s) [/tex]

[tex] \frac{16}{25} = \sin {}^{2} (s) [/tex]

[tex] \frac{4}{5} = \sin(s) [/tex]

Since this is in the first quadrant, it is positve.

Let do the the same thing for sin t.

[tex]1 - \frac{169}{289} = \sin {}^{2} ( {}^{} t) [/tex]

[tex] \frac{120}{289} = \sin {}^{2} (t) [/tex]

[tex] \frac{2 \sqrt{30} }{17} = \sin(t) [/tex]

Now, we can compute

a.

[tex] \sin(s + t) = \sin(s) \cos(t) + \cos(s) \sin(t) [/tex]

[tex] \frac{4}{5} \times \frac{13}{17} + \frac{3}{5} \times ( \frac{2 \sqrt{30} }{17} )[/tex]

[tex] \frac{52}{85} + \frac{6 \sqrt{30} }{85} [/tex]

[tex] \sin(s + t) = \frac{52 + 6 \sqrt{30} }{85} [/tex]

b

[tex] \tan(s + t) = \frac{ \tan(s) + \tan(t) }{1 - \tan(s) \tan(t) } [/tex]

Tan s is 4/3

Tan t is 2 times root of 30/ 13

So we have

[tex] \frac{ \frac{4}{3} + \frac{2 \sqrt{30} }{13} }{1 - \frac{8 \sqrt{30} }{39} } [/tex]

[tex] \tan(s + t) = \frac{52 + 6 \sqrt{30} }{39 - 8 \sqrt{30} } [/tex]

c. They are all in 1st quadrant

Answer:

school x = 12

school y = 4

Step-by-step explanation:

School X has eight more points than School Y.

School X has three times as many points as School Y .

Writing these statements in terms of equation 

x = y + 8  

 x = 3 y

Substituting the value of x in y, we get

3 y = y + 8

Taking variable on left side of equation

3 y – y = 8 (subtract y from both sides)

2 y= 8 (divid 2 from both sides)

y = 4

then plug in y to the first equation

x= y + 8

x= 4 + 8

x= 12

Answer:

Step-by-step explanation:

8) 1:2 _<__ 3:6

9) 3:5 _>__ 2:4

10) 6:7 _>__ 4:8

11) 5:1 _<__ 7:9

12) 4:6 _<__ 7:6

13) 1:8 __<_ 4:11

14) 5:2 __<_ 10:4

15) 4:3 _> 2:4

16) 7:2 _<__10:3

The point always points towards the smallest number.