BRAINLIEST!!! easy question

Step-by-step explanation:

Substitute y = 5 into the equation:

\( - 6x - 8( - 5) = - 20\)

Multiply:

\( - 6x + 40 = - 20\)

Subtract 40 from each side:

\( - 6x = - 60\)

Divide each side by -6:

\(x = 10\)

Substitute y = -5 into the equation:

\(x - 5= 5\)

Add 5 to both sides of the equation:

\(x = 10\)

x will equal 10.

Answer:

x = 98 degrees

Step-by-step explanation:

A heptagon has a total of 900 degrees for the interior angles. Add up all the angles and then subtract from 900 to find x.

146+122+142+140+110+142 = 802.

900-802 = 98

Answer:

x = 98

Step-by-step explanation:

This shape has 7 sides. Using the formula n - 2 we can get the number of triangles. n represents the number of sides.

n - 2 = 5

All triangles have 180 degrees, so multiply 180 by the number of triangles (5).

180 × 5 = 900

The total number of degrees in this shape is 900. Adding the other angle measures and then subtracting them from 900 gives us x.

146 + 122 + 142 + 140 + 110 + 142 = 802

900 - 802 = 98.

x = 98

The solution of the equation is,

⇒ x = - 4, 6

An algebraic equation with the second degree of the variable is called an Quadratic equation.

Given that;

The equation is,

⇒ x² - 2x - 24 = 0

Now, We can simplify the equation as,

⇒ x² - 2x - 24 = 0

⇒ x² - (6 - 4)x - 24 = 0

⇒ x² - 6x + 4x - 24 = 0

⇒ x (x - 6) + 4 (x - 6) = 0

⇒ (x + 4) (x - 6) = 0

⇒ x = - 4, 6

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The remainder when f(x) = x³ - 5x² + 4x - 10 is divided by (x + 5) is (b) -280

The functions are given as

f(x) = x3 − 5x2 + 4x − 10 is divided by (x + 5)

Rewrite them as

f(x) = x³ - 5x² + 4x - 10 is divided by (x + 5)

Set the divisor to 0

So, we have

x + 5 = 0

Determine the value of x

This gives

x = -5

By the remainder theorem

Substitute x = -5 in the function f(x)

So, we have

f(-5) = (-5)³ - 5(-5)² + 4(-5) - 10

Evaluate the expression

f(-5) = -280

By the remainder theorem, this represents the remainder

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Answer:

13a + 15b + 18

Step-by-step explanation:

5(a + 3b) = 5a + 15b

So the question is: 5a + 15b + 6 + 8a + 12

5a + 8a = 13a

15b stays the same

6 + 12 = 18

So the answer is 13a + 15b + 18

Answer:

13a + 15b + 18

Step-by-step explanation:

5(a + 3b) + 6 + 8a + 12

5a + 15b + 6 + 8a + 12

(5a + 8a) + 15b + (6+12)

13a + 15b + 18

Hope this helps!

Answer:

36 in over 2

Step-by-step explanation:

Answer:

c) 300.9 ft²

Step-by-step explanation:

He has 4 1/4 bags of mulch in his shed to use. Each bag of mulch will cover 70.8 ft².

Hence:

1 bag of mulch = 70.8ft²

4 1/4 bags of mulch = x ft²

Cross Multiply

1 bag × x ft² = 4 1/4 × 70.8

x ft² = 4 1/4 × 70.8/1

x = 300.9 ft²

Option c is correct.

Productivity is referred as the formula for the outputs divided by inputs in a given specified period of time.

All created products and services are considered as outputs. Along with labor, inputs also include capital, supplies, and energy. A common definition of productivity is the ratio of input volume to output volume. In other words, it assesses how effectively an economy uses labor and capital as production inputs to create a particular amount of output.

The simplest productivity calculation yields a straightforward ratio: Total output divided by total input is productivity. By dividing total output by total input, the labor productivity equation can be used to calculate employee productivity. Let's say your business spent 1,500 labor hours to produce $80,000 worth of goods or services (input). To determine the labor productivity of your business, divide 80,000 by 1,500, which results in the number 53.

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The solution of the given system of linear inequalities is the region to the right of the line x = 4 and that lies below the line y = -4x and above the line y = x + 11.

Given that two lines are graphed in an x y plane. The first line rises through (negative 7, negative 11), (0, 3), and (4, 11).The second line rises through (negative 1, negative 9), (0, negative 5), and (4, 11).And the Region to the right of (4, 11) is shaded.

The shaded region in the graph represents the solutions of this system of linear inequalities: y 4x + y ≤ x +To represent the solutions of this system of linear inequalities, we need to find the equations of the two lines.

The equation of the first line can be found using the slope-intercept form of the line that is y = mx + b, where m is the slope of the line and b is the y-intercept.

The line passes through the points (-7, -11), (0, 3), and (4, 11)We can find the slope of the line using the slope formula that is:

m = (y₂ - y₁) / (x₂ - x₁)Substitute the given values in the above formula:

m = (11 - (-11)) / (4 - (-7))= 22 / 11= 2

Therefore, the slope-intercept form of the first line is: y = 2x + bSubstitute the point (0, 3) in the above equation to find the value of b.3 = 2(0) + b⇒ b = 3Hence, the equation of the first line is y = 2x + 3.

The equation of the second line can also be found using the slope-intercept form of the line.The line passes through the points (-1, -9), (0, -5), and (4, 11)We can find the slope of the line using the slope formula.

m = (y₂ - y₁) / (x₂ - x₁)= (11 - (-5)) / (4 - (-1))= 16 / 5

Therefore, the slope-intercept form of the second line is: y = (16 / 5) x + b

Substitute the point (0, -5) in the above equation to find the value of b.-5 = (16 / 5) (0) + b⇒ b = -5

Hence, the equation of the second line is y = (16 / 5) x - 5.Now, we need to find the solutions of the given system of inequalities:y ≤ -4x + y ≤ x + 11The graph of the system of inequalities:

y ≤ -4xy ≤ x + 11is given below:

The region that satisfies both the inequalities is the shaded region that lies below the line y = -4x and above the line y = x + 11.

The shaded region to the right of (4, 11) is the region that is to the right of the line x = 4 in the above graph.

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Answer:

\(slope=\frac{4}{5}\)

Step-by-step explanation:

\(y=\frac{4}{5} x-3\)

This is written in slope-intercept form:

\(y=mx+b\)

m is the slope and b is the y-intercept. x and y are the corresponding points (x,y).

Therefore, the slope is \(\frac{4}{5}\).

:Done

The solution of the quadratic equation is x=5±√35 .

A quadratic equation is given by the equation which can be written in the form ax²+bx +c.

the given quadratic equation is :

x²-10x+25=35

Simplifying the equation we get:

or, x²-10x+25-35=0

or, x²-10x-10=0

Now we will solve the equation by completion squares method:

x²-10x-10=0

or, x²-2×x×5+5²-5²-10=0

or, (x-5)²=35

or, x-5=±√35

or, x= 5±√35

Therefore the solution of the quadratic equation is 5+√35 and 5-√35 .

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The solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.

To solve the given differential equation (DE), we can use the integrating factor method. The steps are as follows:

1. Multiply both sides of the DE by the integrating factor, which is the exponential of the integral of the coefficient of y. In this case, the coefficient of y is (x + 2), so the integrating factor is e^(∫(x+2)dx) = e^(x^2/2 + 2x).

So, we have: (x + 1) e^(x^2/2 + 2x) dy/dx + (x + 2) e^(x^2/2 + 2x) y = 2x e^(x^2/2 + 2x) e^(-xy)

2. Notice that the left-hand side of the DE is the product of the derivative of y with respect to x and the integrating factor, so we can apply the product rule of differentiation to obtain:

d/dx [ e^(x^2/2 + 2x) y ] = 2x e^(x^2/2 + 2x) e^(-xy)

3. Integrate both sides of the previous equation with respect to x to obtain:

e^(x^2/2 + 2x) y = - e^(-xy) + C

where C is the constant of integration.

4. Solve for y by dividing both sides by the integrating factor:

y = [- e^(-xy) + C] e^(-x^2/2 - 2x)

This is the general solution of the given DE.

Note that the solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.

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Answer:

r = \(3\sqrt{2}\)

Step-by-step explanation:

equation of a circle:  \((x-a)^2+(y-b)^2=r^2\)

where (a, b) is the center and r is the radius

Therefore, for the equation \(x^2+y^2=18\)

⇒ r = \(\sqrt{18}\) = \(3\sqrt{2}\)

What is your question?

9007 x 400

This??

The probability of choosing sausage and onion by Rosa's mom from the given 8 different toppings as per given condition is equal to

(1/ ⁸C₂).

As given in the question,

Total number of different toppings = 8

Number of different toppings choose by Rosa's mom randomly = 2

Possibility of choosing sausage and onion (any one) = 1

Total number of outcomes = ⁸C₂

Number of favorable outcomes = 1

Probability of choosing sausage and onion ( exactly ) one topping

= ( Number of favorable outcomes ) / ( Total number of outcomes )

= ( 1/⁸C₂ )

Therefore, the probability when Rosa's mom chooses sausage and onion out of 8 toppings is equal to ( 1/⁸C₂ ).

The above question is incomplete, the complete question is:

A pizza restaurant is offering a special price on pizzas with 2 toppings. They offer the toppings

below:

Pepperoni ,Sausage, Chicken ,  Green pepper , Mushroom ,Pineapple, Ham, Onion

Suppose that Rosa's favorite is sausage and onion, but her mom can't remember that, and she is going to randomly choose 2 different toppings.

What is the probability that Rosa's mom chooses sausage and onion?

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Answer:

1/8c^2

Step-by-step explanation:

Khan Acadmey

Answer: x=2

Step-by-step explanation: Subtract

3

3

3

from both sides of the equation

2

+

3

=

+

5

2

x

+

3

=

x

+

5

2x+3=x+5

2

+

3

−

3

=

+

5

−

3

2

x

+

3

−

3

=

x

+

5

−

3

2x+3−3=x+5−3

2

Simplify

Subtract the numbers

Subtract the numbers

2

=

+

2

2

x

=

x

+

2

2x=x+2

3

Subtract

x

x

from both sides of the equation

2

=

+

2

2

x

=

x

+

2

2x=x+2

2

−

=

+

2

−

2

x

−

x

=

x

+

2

−

x

2x−x=x+2−x

4

Simplify

Combine like terms

Multiply by 1

Combine like terms

Answer:

5

Step-by-step explanation:

2x^2-3x  replace x with -1

2(-1)^2-3(-1)

2+3

5

Answer:

g(1)=5

Step-by-step explanation:

\(g(x)=2x^2-3x\\We\ find\ g(-1)\ by\ just\ substituting\ x\ with\ -1\ on\ the\ RHS.\\g(-1)=2(-1)^2-3*-1\\g(-1)=2*1+3\\g(-1)=2+3\\g(-1)=5\)

A test of nonverbal intelligence is a type of cognitive assessment that measures an individual's ability to solve problems and think abstractly without the use of language.

Unlike traditional intelligence tests that rely heavily on verbal abilities such as vocabulary, reading, and verbal reasoning, nonverbal intelligence tests use visual-spatial and abstract reasoning tasks that do not require the use of language.

Nonverbal intelligence tests can be particularly useful for individuals who have language or communication difficulties, such as those with speech and language disorders, or those who are non-native speakers of the language in which the test is administered. They can also be used to assess individuals who have difficulty with traditional tests due to visual or hearing impairments.

Examples of nonverbal intelligence tests include Raven's Progressive Matrices, the Naglieri Nonverbal Ability Test (NNAT), and the Universal Nonverbal Intelligence Test (UNIT). These tests typically involve completing visual pattern recognition and completion tasks, spatial reasoning tasks, and other nonverbal problem-solving tasks.

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Profitability index is 1.387. Thus, the correct option is (c) 1.387.

The formula for calculating the profitability index is:

P.I = PV of Future Cash Flows / Initial Investment

Where,

P.I is the profitability index

PV is the present value of future cash flows

The initial investment in the project is $30 million. The cash flow at the end of the first year is $2.85 million.

The present value of cash flows can be calculated using the formula:

PV = CF / (1 + r)ⁿ

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

n is the number of periods

For the first-year cash flow, n = 1, CF = $2.85 million, and r = 11%.

Substituting the values, we get:

PV = 2.85 / (1 + 0.11)¹ = $2.56 million

To calculate the present value of all future cash flows, we can use the formula:

PV = CF / (r - g)

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

g is the constant growth rate

For the subsequent years, CF = $2.85 million, r = 11%, and g = 3.85%.

Substituting the values, we get:

PV = 2.85 / (0.11 - 0.0385) = $39.90 million

The total present value of cash flows is the sum of the present value of the first-year cash flow and the present value of all future cash flows.

PV of future cash flows = $39.90 million + $2.56 million = $42.46 million

Profitability index (P.I) = PV of future cash flows / Initial investment

= 42.46 / 30

= 1.387

Therefore, the correct option is (c) 1.387.

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Answer:

x = 3

Step-by-step explanation:

(x - 1)2 + 2 = x + 3

~Distribute left side

2x - 2 + 2 = x + 3

~Combine like terms

2x = x + 3

~Subtract x to both sides

x = 3

Best of Luck!

Answer:

x is 3 I hope it helps. (if it really helps then I would aprecciate a brainlest)

Step-by-step explanation:

A negative exponent means to move the decimal point to the left the number of the exponent.

10^-1 you would move the decimal 1 place to the left.

5.401 x 10^-1 = 0.5401

\(\huge\boxed{0.5401}\)

We have the equation...

\(\boxed{5401*10^-^1=(?)}\)

Multiply 5401 by 10⁻¹.

\(\boxed{5401*10^-^1=0.5401}\)

Therefore, your final answer is \(\boxed{0.5401}\)

Answer: 13

Step-by-step explanation:

Answer:

Step-by-step explanation:

Givens

r = 20 mm

Volume = 16328

h = ?

Formula

V = pi * r^2 * h

Solution

16328 = 3.14 * 20^2 * h

16328 = 3.14 * 400 * h

h = 16328/(3.14 * 400)

h = 16328 / 1256

h = 13

\(a(1) = 240 \\ a(2) = a(1) + d = 240 + 24 = 264 \\ a(3) = a(2) + d = 264 + 24 = 288 \\ a(4) = a(3) + d = 288 + 24 = 312 \\ a(5) = a(4) + d = 312 + 24 = 336 \\ a(6) = a(5) + d = 336 + 24 = 360\)

Answer:

\(g(x)=2x+3\)

Step-by-step explanation:

\(g(x)=\frac{1}{2}(4x+6)=2x+3\)

The 90% confidence interval for the difference in the population means is -2.51 to 0.31

From the question, we have the following parameters that can be used in our computation:

xˉ₁ = −17.1

s₁² = 8.4

n₁ = 22

​xˉ₂ = −16.0

s₂² = 8.7

n₂ = 24

Calculate the pooled variance using

P = (df₁ * s₁² + df₂ * s₂²)/df

Where

df₁ = 22 - 1 = 21

df₂ = 24 - 1 = 23

df = 22 + 24 - 2 = 44

So, we have

P = (21 * 8.4 + 23 * 8.7)/44

P = 8.56

Also, we have the standard error to be

SE = √(P/n₁ + P/n₂)

So, we have

SE = √(8.56/22 + 8.56/24)

SE = 0.86

The z score at 90% CI is 1.645, and the CI is calculated as

CI =  (x₁ - x₂) ± z * SE

So, we have

CI = (-17.1 + 16.0) ± 1.645 * 0.86

This gives

CI = -1.1 ± 1.41

Expand and evaluate

CI = (-2.51, 0.31)

Hence, the confidence interval is -2.51 to 0.31

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Answer:  80 miles

Step-by-step explanation:

10mph + 30mph = 40 mph

Distance = Speed × time

D = 40m/h × 2 h

D = 80 m

To show that k = 20, we need to use the given information about the motorcycle's maximum power and maximum speed.
We know that the maximum power of the motorcycle is 72 kilowatts. We can convert this to watts by multiplying by 1000, giving us 72,000 watts.
We also know that the maximum speed of the motorcycle and its rider is 60 m/s. At this speed, the resistance force is equal to kV newtons.
We can use the formula for power to relate the maximum power to the resistance force and speed:
Power = Force x Velocity
Since the motorcycle is moving at its maximum speed, we can use the maximum power to find the maximum force:
72,000 = Force x 60
Solving for the force, we get:
Force = 1,200 newtons
Now we can use this maximum force and the maximum speed to find the value of k:
1,200 = k x 60
Solving for k, we get:
k = 20
Therefore, we have shown that k = 20, as required.

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