!PLEASE HELP!
Eight times the square of a negative
integer plus 24 times the negative
integer equals 80. Find the unknown
negative integer.

The missing length of the triangle using Pythagoras theorem is; x = 3

Pythagoras Theorem is defined as the way in which you can find the missing length of a right angled triangle. The right angle triangle has three sides, the hypotenuse (which is always the longest), Opposite (which doesn't touch the hypotenuse) and the adjacent (which is between the opposite and the hypotenuse).

The formula to find the sides is;

hypotenuse² = opposite + adjacent²

We are given;

Hypotenuse = 5

Opposite = x

adjacent = 4

Thus;

5² = x² + 4²

x² = 5² - 4²

x² = 25 - 16

x = √9

x = 3

We conclude that it is the missing length of the triangle

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Answer:

The x intercept is (-2,0)

The y intercept is (0,5)

Step-by-step explanation:

10x - 4y = -20

To find the x intercept

Set y=0

10x -0 =-20

10x/10 = -20/10

x =-2

The ordered pair is (-2,0)

10x - 4y = -20

To find the y intercept

Set x=0

0 - 4y =-20

-4y/-4 = -20/-4

y = 5

The ordered pair is (0,5)

Answer:

66.2 units

Step-by-step explanation:

Use the arc length formula, s = θr

Convert the angle measure to radians:

90 degrees = \(\frac{\pi }{2}\) radians

Plug in the arc length and angle measure, then solve for r:

s = θr

104 = (\(\frac{\pi }{2}\))(r)

66.2 = r

So, the radius is 66.2 units

Answer:

4Inx−5In

Step-by-step explanation:

Mark me Brainiest?

Answer:

q = - 3.4

Step-by-step explanation:

- 13(q + 4) = 7q + 16 ← distribute parenthesis on left side

- 13q - 52 = 7q + 16 ( subtract 7q from both sides )

- 20q - 52 = 16 ( add 52 to both sides )

- 20q = 68 ( divide both sides by - 20 )

q = - 3.4

The answer is 20 - 3x.                                   

Answer: D

Step-by-step explanation: I got it right.

Answer:

  A

Step-by-step explanation:

A Pythagorean triple is a set of three positive integers that satisfy the Pythagorean theorem.

  24² +32² = 40²

  576 +1024 = 1600 . . . . true, the theorem is satisfied

This is a Pythagorean triple because it contains three positive integers that satisfy the Pythagorean theorem.

_____

You may recognize this as the (3, 4, 5) triple, multiplied by 8.

Answer: A total of 30 teachers

Step-by-step explanation:

20% = 6 (science) teachers

20x5= 100

6x5=30 teachers

Hope this helps you!

Answer:

30 teachers

20% is 2/10 of 100

20 x 5 = 100

6 x 5 = 30

Therefore, 30 teachers.

Answer:

thats the answer ^^

Step-by-step explanation:

plz give me brainlyest i need it

Answer:

Option 1

Step-by-step explanation:

\(3 {x}^{2} - 18x + 5 = 47\)

\( = > 3 {x}^{2} - 18x + 5 - 47 = 0\)

\( = > 3 {x}^{2} - 18x - 42 = 0\)

\( = > 3( {x}^{2} - 6x - 14) = 0\)

\( = > {x}^{2} - 6x - 14 = 0\)

We know that

\(x = \frac{ - b + \sqrt{d} }{2a} \: or \: \frac{ - b - \sqrt{d} }{2a} \)

Where D = Discriminant of the eqn.

Discriminant of the above eqn.=

\( {b}^{2} - 4ac = {( - 6)}^{2} - 4 \times ( - 14) \times 1 = 92\)

So,

\(x = \frac{ - ( - 6) + \sqrt{92} }{2 \times 1} \: or \: \frac{ - ( - 6) - \sqrt{92} }{2 \times 1} \)

\( = > x = \frac{6 + 2 \sqrt{23} }{2} \: or \: \frac{6 - 2 \sqrt{23} }{2} \)

\( = > x = (3 + \sqrt{23} ) \: or \: (3 - \sqrt{23} )\)

Answer:

Fraction :

\( \frac{4}{8} \)

No. of parts shaded : 4

Total No. of Equal parts : 8

Draw this :-

(in the picture)

Answer and Step-by-step explanation:

The answer is in the picture below:

#teamtrees #PAW (Plant And Water)

The unknown coefficients will be b = -2/3   and  c = -12

Vertex of a graph is a point where two lines meet in a parabola.

It is represented as ( h , k ) = ( -2a / b , f( -2a / b) )

Vertex is given to us in the question as (3 , -5)

Also coefficient of \(x^{2}\) is given to us as 1

Now by putting values of 'a' and vertex in the vertex formula we get

3 = -2a / b

b = -2/3

Now put value of b in y = \(x^{2}\) + bx + c

b = -2/3

As we know that vertex (3 , -5) are points on parabola for the given function we will replace it with x and y respectively

x = 3

y = -5

-5 = \(3^{2}\) + ( -2/3 ) * 3 + c

-5 = 9 - 2 + c

c = -12

Therefore b = -2/3 and c = -12.

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Answer:

the answer = 6.329468373x10^22

Step-by-step explanation:

Answer:

answer is 100000 is a correct answer .

Answer:

100000

Step-by-step explanation:

To determine the consumption when income increases from $9,000 to $9,500, we can use the concept of the marginal propensity to consume (MPC).

The MPC represents the proportion of each additional dollar of income that is consumed. The marginal propensity to save (MPS) is the complement of the MPC, representing the proportion of each additional dollar of income that is saved.

Given that the MPC is 1 - MPS and the MPS is 0.2, we can calculate the MPC as follows:

MPC = 1 - MPS

MPC = 1 - 0.2

MPC = 0.8

Now, let's calculate the increase in consumption due to the increase in income:

Increase in income = $9,500 - $9,000 = $500

Increase in consumption = MPC * Increase in income

Increase in consumption = 0.8 * $500

Increase in consumption = $400

Finally, to find the new consumption level when income increases to $9,500, we add the increase in consumption to the initial consumption level:

New consumption = Initial consumption + Increase in consumption

New consumption = $10,000 + $400

New consumption = $10,400

Therefore, when income increases to $9,500, the consumption will be $10,400.

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Answer:

Given:

radius of bigger half circle[R]=(7+7+14)/2=14cm

radius of smaller half circle [r]=14/2=7cm

Area of shaded region =1/2[πR² -πr²]

=1/2×22/7×[14²-7²]=231cm²

Area of shaded region=231cm²

Answer:

1/2

Step-by-step explanation:

rise over run

up 2 across 1

Answer:

-1/2.

Step-by-step explanation:

The slope of this line is -1/2.

The line is going in a negative direction, so the slope will be negative.

We can use "rise/run" to find the slope.

First, find two perfect coordinates on the line.

Lastly, draw your "staircase."

The horizontal line is your run and the vertical line is your rise.

Answer:

1:4

Step-by-step explanation:

the original would be

25:100

divide by 25

(25:100)/25

1/4

Answer:

3/4

Step-by-step explanation:

100-25=75

75%=3/4

Slope = (-2 - 4)/(14 - (-1)) = -6/15

To maximize total area, one possible solution is x ≈ 2.308 and y ≈ 2.308 with 120 feet of wire.

Given that,

Total length of wire available: 120 feet

Number of pens to enclose: 3

One side of the fence is a wall that doesn't require a fence

Outside fences require 4 strands of wire

Inside dividers require 1 strand of wire

The goal is to find values for x and y that maximize the total area enclosed by the pens

To maximize the total area enclosed by the fence, we'll need to find the optimal dimensions for the pens.

First, let's assign variables to the dimensions of the rectangular pens. We'll call the width of each pen "x" and the length "y".

To calculate the total amount of wire needed for the outside fencing,

Multiply the perimeter of each pen by the number of strands required (4).

Since there are three pens, the formula becomes:

Total outside fencing wire = 4 (2x + 2y)(3)

Next, we calculate the total amount of wire needed for the inside dividers.

Since there are two dividers required for three pens, the formula becomes:

Total inside dividers wire = 1 (x + y)(2)

To find the maximum total area enclosed by the fence, we need to maximize the area of the pens. The formula for each pen's area is:

Area of each pen = x * y

Let's express the total amount of wire used in terms of x and y:

Total wire used = Total outside fencing wire + Total inside dividers wire

Now we can substitute the given value of 120 feet of wire into the equation:

120 = 4 (2x + 2y)(3)+ 1 (x + y)(2)

Simplifying the equation, we have:

120 = 24x + 24y + 2x + 2y

Combine like terms:

120 = 26x + 26y

Divide both sides of the equation by 26:

4.615 = x + y

To maximize the total area enclosed by the fence,

Consider the constraint that the total amount of wire used should equal 120 feet.

As there are multiple solutions that could satisfy this constraint, there isn't a unique solution for x and y.

Hence, given the constraint, one possible solution is x ≈ 2.308 and y ≈ 2.308.

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Answer:

X=108

Step-by-step explanation:

ASSUMING ITS A HEXAGON the sixth angle would be 108 degrees. You get this by adding all the five angles which give you 612. You then subract 612 from 720. Because 720 is the whole measure of  a hexagon. and then when you subtract you get 108.n

the answer is 15cm (pls mark brainlest)

Answer:

3:40

Step-by-step explanation:

We need both measurements in the same units.

1 m = 100 cm

2 m = 2 × 1 m = 2 × 100 cm = 200 cm

15 cm to 2 m = 15 cm to 200 m

Divide both numbers in the ratio by 5 cm.

15 cm to 200 cm = 3:40

Answer:

Below

Step-by-step explanation:

1 + 19/10 + 8/100   = 1   +  1.9    + .08   =  2.98

The x-coordinate of the point P is 2 and the y-coordinate is 5. So the coordinates of point P are (2,5).

To find the x-coordinate, we set the derivative of the curve equal to 1/4 and solve for x:

d/dx (1/(x+3)) = 1/4

-1/(x+3)² = 1/4

(x+3)² = -4

x+3 = ±2i

x = -3 ± 2i

Since the curve is defined only for real values of x, we take the real part of the solution and obtain x = -3. Therefore, the y-coordinate is y = 1/(x+3) = 1/(-3) = -1/3.

However, this point is not on the curve because the curve is not defined for x = -3. Instead, we need to look for the point on the curve closest to x = -3. We can do this by finding the limit of the curve as x approaches -3 from the right:

lim (x→-3+) (1/(x+3)) = ∞

Therefore, the point P is at x = 2 (the closest value to -3 on the curve) and y = 1/(2+3) = 1/5. So the coordinates of P are (2,5).

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One possible solution that could be used to address the problems caused by the Electoral College is "electoral reform."

Popular Vote: One approach is to replace the Electoral College with a system where the President is directly elected by a popular vote. This would eliminate the possibility of a candidate winning the presidency while losing the popular vote, as has happened in some elections.

Proportional Representation: Another option is to implement a proportional representation system, where the allocation of electors is based on the percentage of votes a candidate or party receives in each state. This would ensure a more proportional representation of voters' preferences and reduce the influence of winner-takes-all mechanisms.

National Popular Vote Interstate Compact: This reform proposal aims to work within the existing Electoral College framework. States that join the compact agree to allocate their electoral votes to the winner of the national popular vote, effectively ensuring that the candidate who receives the most votes nationwide becomes the President.

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The solution to the given initial value problem, obtained using Laplace transforms, is y(x) = 0. This means that the function y(x) is identically zero for all values of x.

To find the solution of the initial value problem using Laplace transforms for the equation d²y/dx² + 9y = 9sin(t)u(t - 3), where y(0) = y'(0) = 0, we can follow these steps:

Take the Laplace transform of the given differential equation.

Applying the Laplace transform to the equation d²y/dx² + 9y = 9sin(t)u(t - 3), we get:

s²Y(s) - sy(0) - y'(0) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))

Since y(0) = 0 and y'(0) = 0, the Laplace transform simplifies to:

s²Y(s) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))

Solve for Y(s).

Combining like terms, we have:

Y(s) * (s² + 9) = 9 * (1/s² + 1/(s² + 1))

Multiply through by (s² + 1)(s² + 9) to get rid of the denominators:

Y(s) * (s⁴ + 10s² + 9) = 9 * (s² + 1)

Simplifying further, we have:

Y(s) * (s⁴ + 10s² + 9) = 9s² + 9

Divide both sides by (s⁴ + 10s² + 9) to solve for Y(s):

Y(s) = (9s² + 9)/(s⁴ + 10s² + 9)

Partial fraction decomposition.

To proceed, we need to decompose the right side of the equation using partial fraction decomposition:

Y(s) = (9s² + 9)/(s⁴ + 10s² + 9) = A/(s² + 1) + B/(s² + 9)

Multiplying through by (s⁴ + 10s² + 9), we have:

9s² + 9 = A(s² + 9) + B(s² + 1)

Equating the coefficients of like powers of s, we get:

9 = 9A + B

0 = A + B

Solving these equations, we find:

A = 0

B = 0

Therefore, the decomposition becomes:

Y(s) = 0/(s² + 1) + 0/(s² + 9)

Inverse Laplace transform.

Taking the inverse Laplace transform of the decomposed terms, we find:

L^(-1){Y(s)} = L^(-1){0/(s² + 1)} + L^(-1){0/(s² + 9)}

The inverse Laplace transform of 0/(s² + 1) is 0.

The inverse Laplace transform of 0/(s² + 9) is 0.

Combining these terms, we have:

Y(x) = 0 + 0

Therefore, the solution to the initial value problem is:

y(x) = 0

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we will use the next formula to find the rate of change of the given interval

in our case

a=-3

b=6

then we substitute the values in the formula

The average rate of change is 10/9=1.11

ANSWER

The percent error is 10.9 %

EXPLANATION

The percent error is:

In this problem, the approximate value is 16 and the exact value is 14.25:

Answer:

10.9%

Step-by-step explanation:

14.25/16 = 0.890625

0.890625 * 100 = 89.0625

1 - 89.0625 = 10.9375%