45 POINTS PLEASE BE FAST 18-22 !! <33 (sorry if its blurry)

Answer:-0.924025

Step-by-step explanation:

[(9.65 - 9.74) / 9.74] × 100%

= -0.0092402464066 × 100%

= -0.92402464066%

Given

2x + 6y = -18

Find

x intercept and y intercept. Then use them to graph the line.

Explanation

to find the y intercept , put x = 0

2(0) + 6y = -18

6y = -18

y = -3

now , put y = 0 to find the x intercept

2x + 6(0) = -18

2x = -18

x = -9

we have two points ; (0 , -3) and (-9 , 0)

plot these points on graph to make a line

Final Answer

Hence , the x intercept is -9 and y intercept is -3. The required graph is shown above.

Given the expression:

Remove brackets

Collect like terms and evaluate

Answer

Explanation

The best way to plot graphs, especially straight line graphs, is to use the intercepts. The intercepts are the point(s) that the graph of the function crosses or touches the x and y axis.

The equation is

y = (2/3)x - 2

when x = 0,

y = (2/3)x - 2

y = (2/3)(0) - 2

y = 0 - 2

y = -2

The first point on the graph is (0, -2)

when y = 0,

y = (2/3)x - 2

0 = (2/3)x - 2

(2x/3) = 2

Cross multiply

2x = (2) (3)

2x = 6

Divide both sides by 2

(2x/2) = (6/2)

x = 3

The second point on this graph is (3, 0)

So, the two points are (0, -2) and (3, 0)

We can then easily plot this graph by marking out those two points on the graph and connect the two points for the equation of that line.

An exponential function is one in which the independent variable x appears in the exponent and has a constant a as its base. Its expression is:

With a being a positive real, a > 0, and different from 1, a ≠ 1.

When 0 < a < 1, then the exponential function is a decreasing function and when a > 1, it is an increasing function.

For example: the function

Since a = 2 > 1, the function is increasing. We have the graph below:

And the function

Since a = 0.5 < 1, the function is decreasing. Then, the graph is:

5, 10, 20, 40, . . .

The geometric sequence formula

According to the problem, the function f(x) represents the height of the airplane, and x is the time in seconds since the airplane was thrown.

The graph shows the zeros x = -1 and x = 4, however, the positive zero is the only one that makes sense to the problem because time can't be negative. So, the zero x = 4 means that the paper airplane will reach the water level after 4 seconds.

As we said, just the positive zero has meaning to this situation because, in real life, time is not negative.

Therefore, just one zero (x=4) has real-world meaning.

According to the zero x = 4, the paper airplane will hit the water after 4 seconds.

For the given question.

US flag has to be made by total 90 marbles.

Let the number of white marbles be 'x'.

Red marbles are three times the white marble = '3x'.

Blue marbles be twice of white marble = '2x'.

Total marbles = white marble + red marble + blue marble

90 = x + 2x + 3x

6x = 90

x = 15

White marble = 15.

Blue marble 2x = 2×15 = 30.

Red marble 3x = 3×15 = 45.

Probability = favourable outcomes /total outcome

The probability for picking red marble = 45/90 = 1/2.

The probability for picking blue marble = 30/90 = 1/3.

Probability (red or blue) = 1/2 × 1/3

Probability (red or blue) = 1/6

Thus, the probability for picking red or blue marble is 1/6.

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Recall that:

Therefore:

Answer:

Answer:

29.7

Step-by-step explanation:

To calculate this we need to convert the percentage to a decimal and then multiply.  345% is 3.45, so our math problem is 8.6 x 3.45.  If you put that into a calculator you will get 29.67, but since the least precise number is to one decimal place (8.6), I put my answer to one decimal place as well - I rounded 29.67 to the nearest tenth.

Answer:

Step-by-step explanation:

d

c

a

b i think

a

work for question #4:

Side a = 30.27382

Side b = 30

Side c = 27.83241

Angle ∠A = 63° = 1.09956 rad = 7/20π

Angle ∠B = 62° = 1.0821 rad

Angle ∠C = 55° = 0.95993 rad

Answer:Q(2,-3)

Step-by-step explanation:

Answer:

Please read my updated answer.

I am wasn't sure what you were asking so here and 2 answers.

1st answer [tex]y=\frac{1}{e}[/tex]

2nd answer [tex]\frac{dy}{dx}=-\frac{y}{x+7e}[/tex]

Step-by-step explanation:

[tex]xy+7ey=7[/tex]

[tex]when \\ x=0[/tex]

Substitute [tex]0[/tex] for [tex]x[/tex] then simplify.

[tex](0*y)+7ey=7\\ 0+7ey=7\\ 7ey=7[/tex]

Divide each term in [tex]7ey=7[/tex] by [tex]7e[/tex] and simplify.

[tex]\frac{7ey}{7e}=\frac{7}{7e}[/tex]

Cancel the common factor of [tex]7[/tex] on the left side.

Rewrite the expression.

[tex]\frac{ey}{e}=\frac{7}{7e}[/tex]

Cancel the common factor of [tex]e[/tex] on the left side.

[tex]y=\frac{7}{7e}[/tex]

Cancel the common factor of 7 on the right side.

Rewrite the expression.

[tex]y=\frac{1}{e}[/tex]

2nd Answer

Step-by-step explanation:

[tex]xy+7ey=7[/tex]

Differentiate both sides of the equation.

[tex]\frac{d}{dx} (xy+7ey)=\frac{d}{dx}(7e)[/tex]

Differentiate the left side of the equation.

By the Sum Rule, the derivative of [tex]xy+7ey[/tex] with respect to x is [tex]\frac{d}{dx} [xy]+\frac{d}{dx}[7ey][/tex]

Evaluate [tex]\frac{d}{dx} [xy][/tex]

Differentiate using the Product Rule

Rewrite [tex]\frac{d}{dx} [xy][/tex] as [tex]y'[/tex].

[tex]xy'+y+\frac{d}{dx} [7ey][/tex]

Evaluate [tex]\frac{d}{dx} [7ey][/tex]

Since [tex]7e[/tex] is constant with respect to [tex]x[/tex], the derivative of [tex]7e[/tex] with respect to [tex]x[/tex] is [tex]0[/tex].

Reform the equation by setting the left side equal to the right side.

[tex]xy'+7ey'+y=0[/tex]

Solve for [tex]y'[/tex].

Subtract [tex]y[/tex] from both sides of the equation.

[tex]xy'+7ey'=-y[/tex]

Factor [tex]y'[/tex] out of [tex]xy'[/tex].

[tex]y'x+7ey'=-y[/tex]

Factor [tex]y'[/tex] out of [tex]7ey'[/tex].

[tex]y'(x)+y'(7e)=-y[/tex]

Factor out [tex]y'[/tex] out of  [tex]y'(x)+y'(7e)[/tex]

[tex]y'(x+7e)=-y[/tex]

Divide each term in [tex]y'(x+7e)=-y[/tex] by [tex]x+7e[/tex] and simplify.

[tex]\frac{y'(x+7e)}{x+7e} =\frac{-y}{x+7e}[/tex]

Cancel the common factor of [tex]x+7e[/tex].

[tex]y'=-\frac{-y}{x+7e}[/tex]

Replace [tex]y'[/tex] with  [tex]\frac{dy}{dx}=-\frac{y}{x+7e}[/tex]

[tex]\frac{dy}{dx}=-\frac{y}{x+7e}[/tex]

Since the explicit formula of the sequence is

Where n is the position of any term

We need to find the sixth term, which means

n = 6

Substitute n by 6 in the formula above

The sixth term is -26

The answer is B (2nd answer)

the divisor = 5

Explanation:

let the divisor be = x

dividend = number to be divided = 415

quotient = result of the division = 83

dividend/divisor = quotient

415/x = 83

cross multiply:

415 = 83x

Divide both sides by 83:

83x/83 = 415/83

x = 5

Hence, the divisor = 5

Answer:

560

Step-by-step explanation:

If 65% were females, 35% were males.

1600(35%) = 1600(0.35) = 560

Given:

Car uses 1.6 gallons to go 32 miles

Let's find the amount of gallons of gas the car needs to travel 420 miles.

Here, the relationship between the miles driven and the amount of gas needed is direct variation.

Since it is a direct variation, we have the variation equation when y varies directly with x:

y = kx

Where k is the constant of variation.

Hence, we have:

32 = 1.6k

Let's solve for k.

Divide both sides by 1.6:

The constant of variation is 20.

The equation that represents this situation is:

y = 20x

Therefore, to find the amount of gallons of gas needed if the car travels 420 miles, substitute 420 for y and solve for x.

420 = 20x

Divide both sides by 20:

Therefore, the car needs 21 gallons of gas

The amount y (inThe cups) of flour is proportional to the number x of eggs in a recipe.The recipe calls for 5 cups of flour for every 3 eggs.Interpret the slope​

we have

y -----> cups of flour

x ----> number of eggs

so

slope=y/x

slope=5/3 cups of flour per egg

therefore

In this problem the slope is equal to the unit rate

to find out the slope divide the total cups of flour by the total number of eggs

so

we have

5/3=1.67

that means

1) Given that you are paid every two weeks, consider that the base salary is $10 per hour. And 1.5 times for hours in excess.

2) But notice that the pay will not include overtime.

3) Thus, we can write out the following:

Note that this is the gross paycheck (no taxes).

The consecutive integers that are odd numbers are 17, 19 and 21.

In this problem we need to find the values of three consecutive integers that odd integers such that the following equation is satisfied:

x₁ + x₂ = 3 · x₃ - 27

Please notice that two odd numbers are consecutive when their difference is 2.

x₁ + (x₁ + 2) = 3 · (x₁ + 4) - 27

2 · x₁ + 2 = 3 · x₁ + 12 - 27

2 · x₁ + 2 = 3 · x₁ - 15

17 = x₁

x₁ = 17

Thus, the three odd integers that are consecutive are 17, 19 and 21, respectively.

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So,

We want to find the value in the box such that:

I wrote x instead the box.

To solve this equation, the first thing we need to do is to let the "x term" alone.

For this, we could start by multiplying both sides of the equation by 4:

Now, we could substract 1 to both sides:

And then multiply by 6:

Now, substract 2:

Therefore, the value in the box should be 1.

The object change direction when the first derivative change its sign,. So we need to find the first derivative and equate this result to zero.

The first derivative is given by

By equating this result to zero ,we have

This implies that

so, the first derivative change its sign when

as we can note in the following graph:

because the graphs falls when t= 5seconds.

This means that the motion objects change direction at t=5 seconds.

The value of "y" that satisfies the given conditions is -8.

The first straight line passes through two points. The coordinates of the two points are (−4, 9) and (4, 3). The second straight line passes through two points. The coordinates of the two points are (−8, 1) and (4, y).

We know that the first line is parallel to the second line. Hence, the slope of both the lines must be equal.

The slope of the first line is :

m1 = (3-9)/[4-(-4)]

m1 = -6/8

m1 = -3/4

The slope of the second line is :

m2 = (y-1)/[4-(-8)]

m2 = (y-1)/12

We know that m1 = m2.

-3/4 = (y-1)/12

y = -8

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Answer:

Therefore he drank 62.5% of the glass. a little bit above half.

Answer:62.5 percentage of water

Step-by-step explanation: divide 5 by 8 the whole, then multiply by 100 to get the percentage

The measure of angle m∠CGE is 83°

Given,

∠AGF = 62°

∠DGB = 35°

Since, ∠DGB is vertically opposite angle of ∠CGA

Then, ∠CGA = 35°

And also,

             ∠AGF is vertically opposite angle of ∠EGB

Then, ∠EGB = 62°

Now, we know that  CD is straight line

Using angle - sum property,

Then,

      ∠CGE + ∠EGB + ∠CGA = 180°

Putting the values we get

      ∠CGE + 62° + 35° = 180°

       ∠CGE + 97° =  180°

            ∠CGE = 180° - 97°  

           ∠CGE = 83°

Hence,  ∠CGE = 83°

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Answer:

x¹¹ • x⁹

Step-by-step explanation:

so hope it help

have a nice day

In this problem we can see that the intercept with the y axis is positive one, so we know that the answer is A) or D), now we can see that the slope is positie so the term with the x has to be positive so the correct function is:

The length of the radius of the circle is √61.

Here there are two endpoints of the circle (-7,-4) and (3,8)

To find the length between the two points we have a formula:

length = [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1} )^{2} }[/tex]

So here we have

([tex]x_{1} , y_{1}[/tex]) = (-7, -4)

([tex]x_{2} , y_{2}[/tex]) = ( 3,8)

Putting the value we have,

[tex]\sqrt{(3 -(-7)^{2} + ( 8-(-4)^{2} }[/tex]

=[tex]\sqrt{10^{2} + 12^{2} }[/tex]

=[tex]\sqrt{100+ 144}[/tex]

=√244

=2√61

The diameter is 2√61

radius = diameter/2

          = 2√61/2

          = √61

Therefore the length of the radius of a circle is √61.

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The control group is the group C, since they take sugar pills.

The dependent variable is the percentage of people that got fewer headaches.

The independent variables is the type of pills they gave to each of the groups.

We have the following values and their probabilities:

1 day = 0.1

2 days = 0.65

3 days = 0.25

Expected value = 1 (0.1) + 2 (0.65) + 3(0.25) = 0.1 + 1.3+ 0.75 = 2.15