Find three consecutive integers whose sum is 300

Answer: Its 3x

Step-by-step explanation:

I don't really know how to explain it.

Given :

Solve [0, 2π)

3cos(2x) = 5sin(x) - 1

To Find :

The value of x in range [0,2π).

Solution :

We know, cos(2x) = 1 - sin²x .

3( 1 - 2sin²x ) = 5sinx - 1

3 - 6sin²x = 5sinx - 1

6sin²x + 5sinx - 4 = 0

6sin²x + 8sinx - 3sinx - 4 = 0

2sinx( 3sinx + 4 ) - 1( 3sinx + 4) = 0

sin x = 1/2  and sin x = -4/3 .

Since, sin x ≤ 1.

So, sin x = 1/2 .

x = π/6 .

Therefore, value of x is π/6.

Hence, this is the required solution.

Answer:

the 2 banks are more than 7.31

Answer:

12 percent is your answer, it would've been %24 if it was 100 percent but it is 200 so it is %12

Step-by-step explanation:

Have a great day :)

easy way to figure out slope: its rise/run (how far up it goes/how far over it goes)

so, the slope for this is 2/3

hope this helps!! :)

Answer:

2/3

Step-by-step explanation:

y2-y1/x2-x1

you can pick any 2 points I choose 2,3 and 5,5

5-3/5-2=2/3

Answer:

Q1:  20,000 envelopes

Q2: Savings = $700

Step-by-step explanation:

Let the number of envelopes stuffed by each be "x"

We can create 2 equations, each for Anna and Jason, equate them and find our answer.

For Anna:

$14 for 400, so

14/400 = $0.035 PER ENVELOPE

Savings for Anna is  0.035x

For Jason:

Already has 100 (fixed)

Gets $9 for 300 envelopes, so

9/300 = $0.03 PER ENVELOPE

Savings for Jason is  100 + 0.03x

We equate and solve for x:

So, For both their savings to be equal, they need to stuff 20,000 envelopes

Their savings would be:

0.035x

or 100 + 0.03x

We can plug in x = 20,000 in any one equation, the answer would be same.

So,

0.035(20,000) = $700

savings = $700

Step-by-step explanation:

Answer: D.

Step-by-step explanation: 3x3 is 9, and pi is greater than 3. approx. 3.14 (which is pi) x 3 is greater than 9.

Answer: it is all explained in the photo

Wish it helped you understand it better :)

Answer:

5. $1417.50, 6. $18.13, 7. $.78 (assuming the interest rate is annual), 8. .0625%, 9a. 5%, b. No because If he invests $4200 at 6% for 3 years he will have earned $756, so $4200+$756= $4956

Step-by-step explanation:

Have fun with your cousin

Answer:

(1 1/4) ×(2 3/5) = 13 /4  = 3 1 /4  = 3.25

Answer: 500

Step-by-step explanation:

(8)^3 - 12

512-12 = 500

Answer:

y = 15x^3 + 16x^2 - 55x + 24

Step-by-step explanation:

y = (3x +8)(5x - 3)(x - 1)

y = (15x^2 - 9x + 40x -24) * (x - 1)

y = (15x^2 + 31x - 24) * (x-1)

y = 15x^3 - 15x^2 + 31x^2 - 31x - 24x + 24

The x-intercepts of a graph are the points where the graph crosses the x-axis.

The x-intercepts are: [tex]\mathbf{x = ,-\frac83, \frac 35\ and\ 1}[/tex]

The function is given as:

[tex]\mathbf{y = (3x + 8)(5x - 3)(x - 1)}[/tex]

First, we plot the graph of [tex]\mathbf{y = (3x + 8)(5x - 3)(x - 1)}[/tex]

See attachment for the graph

Next, write out the x-values when the graph crosses the x-axis.

From the graph, we have:

[tex]\mathbf{x = -\frac 83}[/tex]

[tex]\mathbf{x = \frac 35}[/tex]

[tex]\mathbf{x = 1}[/tex]

Hence, the x-intercepts are: [tex]\mathbf{x = ,-\frac83, \frac 35\ and\ 1}[/tex]

Read more about x intercepts at:

https://brainly.com/question/14180189

Answer:

B

Step-by-step explanation:

2.2lb = 1 kg

6.6/2.2=3.0kg

The correct weight of the baby is given by option B) 3.0 kg

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here, the baby's weight as 6.6 lbs and 1 lb=0.45 kg

Thus 6.6 lbs=6.6×0.45

                     = 3.0 ( approx)

Hence, The correct weight of the baby is given by option B) 3.0 kg

Learn more about the unitary method here:

https://brainly.com/question/22056199

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Answer:

5.038×[tex]10^{8}[/tex]

Step-by-step explanation:

Answer:

5.038000000x10^8

Step-by-step explanation:

I have a app on my phone that tells you the answer. I think you could write in as (5.038x10^14

Answer:

I believe its A

Step-by-step explanation:

D. h(t) = -16(t - 5)² + 403 could be used to model this situation.

A baseball is hit from an initial height of 3 feet.

The baseball reaches a maximum height of 403 feet.

Here, h(t) indicates the height in feet after t seconds.

At the start, t = 0 & Initial height = 3 feet ,i.e. h(0) = 3

We have to verify options by putting t = 0

A.  h(t) = -16(t - 403)² + 3

So, h(0) = -16(0-403)² + 3 = -16(-403)² +3 = -2598544+3 = -2598541

B.  h(t) = -16(t - 5)² + 3

So, h(0) = -16(0-5)² + 3 = -16(-5)² + 3 = -400+3 = -397

C.  h(t) = -16(t - 3)² + 403

So, h(0) = -16(0-3)² + 403 = -16(-3)² + 403 = -144 + 403 = -259

D.  h(t) = -16(t - 5)² + 403

So, h(0) = -16(0-5)² + 403 = -16(-5)² + 403 = -400 + 403 = 3

Hence, in this function h(0) = 3 verified.

Therefore h(t) = -16(t - 5)² + 403 is the required function.

Learn more about function here :

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Answer:

A. 81

Step-by-step explanation:

It is 3 x 3 = 9 x 3 = 27 x 3 = 81

Hope this helps

Answer:

100/2=50

lower bound of 6400kg = 6350kg

10/2=5  

upper bound of 90kg = 95kg

6350kg/95kg=66kg

Step-by-step explanation:

this is right

Answer:

BRO HE IS THE BEST SO I SUBBED

Answer:

false

Step-by-step explanation:

1² = 1, not always true

Answer:

1697.5

Step-by-step explanation:

bY multiplying

Answer:

1697.5

Step-by-step explanation:

you just add a dot next the the 5 and remove remove the last dight

Answer:

(a+5b)⋅(a−5b)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given expression is (3x²y⁴)²

We can rewrite the given expression as,

(3x²y⁴)² = (3)²(x²)²(y⁴)² [Every term of the the expression will be squared]

            = 9x⁴y⁸

But in the picture attached, it has been given as (6x⁴y⁸).

Therefore, in place of 6 it should be 9.

Answer:

-1

Step-by-step explanation:

-isolate everything  with x on one side and without x on the other side

-remember if you pass the equal sign change the sign of that term

13x+8x+9x = -22-8

-combine like terms

30x = -30

-divide both sides by 30

x= -1

Answer:

x = -1

Step-by-step explanation:

simplfy to 21x + 8 = -9x -22

add 9x  to get 30x + 8 = -22

then subtract 8 to get 30x =-30

divide by 30 and you get x = -1

Answer-2:

Step-by-step explanation:

F(x)= 5x-12

F(2)= 5(2)-12

F(2)= 10-12= -2

Answer:

Step-by-step explanation:

Slop = (y2-y1)/(x2-x1)

= (0-0)/(2-1)

= 0/1

=0

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[tex]14x - 76 + 8x + 2 = 180[/tex]

[tex]14x + 8x + 2 - 76 = 180[/tex]

[tex]22x - 74 = 180[/tex]

Add sides 74

[tex]22x - 74 + 74 = 180 + 74[/tex]

[tex]22x = 254[/tex]

Divide sides by 22

[tex] \frac{22}{22} x = \frac{254}{22} \\ [/tex]

[tex]x = \frac{127}{11} \\ [/tex]

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Answer:

x = [tex]\frac{127}{11}[/tex]

Step-by-step explanation:

14x - 76 + 8x + 2 = 180

Collect like terms;

22x - 74 = 180

Add 74 to both sides;

22x = 254

Divide both sides by 22;

x = [tex]\frac{254}{22}=\frac{127}{11}[/tex]

Answer:

Per person $38.93

Step-by-step explanation:

193.26+85.43+32.75=$311.44

$311.44 divided by 8=$38.93 per person

Best,

SunflowerJada

Answer:

Step-by-step explanation:

m-12= -3  add 12 to both sides

m=9