3. Is the triangle a right triangle?
26
10
24
Solve a

Answer:

1st

Step-by-step explanation:

Answer:

75 equal to 75

Step-by-step explanation:

Answer:

7 to the power of 5 is equal to 7 × 7 × 7 × 7 × 7 = 16,807

Step-by-step explanation:

Answer:

Keep the ladder at a 66 degree angle of elevation at most.

Step-by-step explanation:

Hypotenuse is 20 feet

Adjacent side is 8 feet

We use inverse cosine to find the angle

arccos(8/20) = 66.4 deg

The system that sought to ensure the availability of a subservient agricultural labor supply controlled by white people.

Slavery is the practice of forcing individuals to work without pay or freedom. Historically, it has been used as a means of exploiting people for economic gain, and it has been justified on the basis of race, ethnicity, religion, or social status.

In the transatlantic slave trade, which lasted from the 16th to the 19th century, millions of Africans were captured and forcibly transported across the Atlantic Ocean to the Americas, where they were sold into slavery. Slaves were treated as property and denied basic human rights, such as the right to freedom, education, and family.

The system that sought to ensure the availability of a subservient agricultural labor supply controlled by white people is known as "slavery." Slavery was a brutal and inhumane practice that existed in many parts of the world throughout history. In the United States, slavery was primarily used to support the Southern agricultural economy, with enslaved people being forced to work on plantations producing crops such as cotton, tobacco, and sugar cane. The abolition of slavery in the United States was a long and difficult struggle that culminated in the Civil War and the passage of the 13th Amendment to the US Constitution in 1865.

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The probability of no heads is given as follows:

P(No Heads) = 17.5%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The total number of outcomes is given as follows:

200.

The desired outcomes, those without heads, are Tails, Tails, which happened 35 times, hence the probability is given as follows:

p = 35/200

p = 0.175

p = 17.5%.

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By applying the distributive property to open the parentheses and then combining like terms, the answers above are gotten when each expressions are simplified.

To simplify an expression that as parentheses, we can apply the distributive property to get the answer.

Given the expression, 2(4 + 3(x - 5)), to get the answer in simple form. apply the distributive property to open the parentheses:

2(4 + 3x - 15)

Combine like terms:

2(3x - 11)

Apply the distributive property:

6x - 22

Also, follow the same process to simplify -3(9 - 2(k + 3) + 5k):

-3(9 - 2(k + 3) + 5k)

Apply the distributive property:

-3(9 - 2k - 6 + 5k)

Combine like terms:

-3(3k + 3)

Apply the distributive property:

-9k - 9

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The marginal revenue function, locate the demand function is P = 0.02x² -0.025x + 152 when R'(x) = 0.06x² - 0.05x + 152.

Given that,

We have to find for the marginal revenue function, locate the demand function.

Remember that the income is zero if no things are sold:

R'(x) = 0.06x² - 0.05x + 152

p(x) is what.

We know that,

MR = dTR/dx = 0.06x² - 0.05x + 152

Integrating the marginal revenue function , we get total revenue function,

MR = TR

= (0.06x²⁺¹)/(2+1) - (0.05x¹⁺¹)/(1+1) + 152x

= (0.06x³)/3 - (0.05x²)/2 + 152 x

TR  = 0.02 x³ - 0.025 x² + 152 x

TR = (P)(Q) = (P)(x) =  0.02 x³ - 0.025 x² + 152 x

P = ( 0.02 x³ - 0.025 x² + 152 x)/x

P = 0.02x² -0.025x + 152

Therefore, The marginal revenue function, locate the demand function is P = 0.02x² -0.025x + 152 when R'(x) = 0.06x² - 0.05x + 152.

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Answer:

27

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

yeah-ya........ right?

The probability of rolling a 1 with this loaded die is 1/9.

Let's first assign probabilities to the possible outcomes of rolling the die:

There are 3 even numbers (2, 4, and 6) and 3 odd numbers (1, 3, and 5) on a standard six-sided die.

Since rolling an even number is twice as likely as rolling an odd number, we can assign probabilities as follows:
P(2) = P(4) = P(6) = 2x
P(1) = P(3) = P(5) = x
Now, we need to remember that the total probability of all outcomes must add up to 1:
P(1) + P(2) + P(3) + P(4) + P(5) + P(6) = x + 2x + x + 2x + x + 2x = 9x
Since the total probability is 1, we can write the equation:
9x = 1.

Now, we can solve for x:
x = 1/9
Since we want the probability of rolling a 1, we just use the value of x:
P(1) = x = 1/9.

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Answer:

D.

Step-by-step explanation:

See attached photo.

Answer:

1.5x + 2

Step-by-step explanation:

(3x + 4)/2 = 1.5x + 2

Answer:

\(x = 3\) \(y = 4\)         \(x = -\frac{7}{5}\) \(y = -\frac{24}{5}\)

Step-by-step explanation:

y = 2x - 2

substitute y with 2x - 2 in the other equation

\(x^{2} +y^{2} = 25\)

\(x^{2} +(2x-2)^{2} = 25\)

\(x^{2} + 4x^{2} -4x-4x+4 = 25\)

\(5x^{2} -8x+4=25\)

\(5x^{2} -8x-21=0\)

Use the quadratic equation to solve

\(\frac{-b(+-)\sqrt{b^{2}-4ac }}{2a}\)

\(a = 5\\b = -8 \\c = -21\)

\(\frac{-(-8)(+-)\sqrt{(-8)^{2}-4(5)(-21) }}{2(5)}\)

\(\frac{8(+-)\sqrt{64-(-420) }}{10}\)

\(\frac{8+\sqrt{484 }}{10}\)          \(\frac{8-\sqrt{484 }}{10}\)

\(x\) = \(3\)           \(x\) = \(-\frac{7}{5}\)

Now use these values of x in the other equation to find two values of y

y = 2x - 2                  y = 2x - 2

y = 2(3) - 2                y = 2(-7/5) - 2

y = 4                         y = - (24/5)

The stem and leaf plot is an illustration of graphs and charts.

The number of days of temperatures displayed on the stem and leaf plot is 10

The stem and leaf plot is given as:

Stem            Leaf

4                   9

5                   2  4   4  6  8

6                   0   1

7                   2   3

To determine the number of days, we simply count the number of leaves on the plot.

The leaves on the plot are:

Leaves: 9, 2, 4, 4, 6, 8, 0, 1, 2 and 3

The number of leaves is:

Count = 10

Hence, the number of days of temperatures displayed on the stem and leaf plot is 10

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Both probabilities (p = 0.21 and p = 0.17) are non-zero, indicating that neither of the outcomes has a probability of 0.

In the given scenario, two outcomes, labeled as a and b, are mutually exclusive. This means that these outcomes cannot occur simultaneously. The probability of outcome a is given as p = 0.21, and the probability of outcome b is given as p = 0.17.

To determine which probability is equal to 0, we need to evaluate the given probabilities. It is clear that both probabilities are greater than 0 since p = 0.21 and p = 0.17 are positive values.

Therefore, in this specific scenario, neither of the probabilities (p = 0.21 and p = 0.17) is equal to 0. Both outcomes have non-zero probabilities, indicating that there is a chance for either outcome to occur.

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Answer:

0

Explanation:

Consider the diagram below:

Point P divides segment CD in the ratio 3:2.

To find the coordinate of P, we use the formula for the internal division of a line segment given below:

Thus, the x-coordinate of P is:

The x-coordinate of P is 0.

Extra

The y-coordinate of P is:

The y-coordinate of P is 3.

The correct answer is C. We need to multiply the top equation by \(2\) in order to solve this system using the elimination method.

To solve the system of equations using the elimination method, we need to manipulate one or both equations by multiplying them by a constant so that the coefficients of either \(x \ or\ y\) in one equation will cancel out when added to the corresponding term in the other equation.

In this case, to eliminate the y terms, we can multiply the top equation by the coefficient of y in the bottom equation, which is \(3\).

By multiplying the top equation by \(3\), we get:

\(\[3(2x + y) = 3(11)\]\[6x + 3y = 33\]\)

Now, the new system of equations is:

\(\[6x + 3y = 33\]\[5x + 3y = 29\]\)

We can now subtract the second equation from the first equation to eliminate the y term:

\(\[(6x + 3y) - (5x + 3y) = 33 - 29\]\[x = 4\]\)

Therefore, the correct answer is C. We need to multiply the top equation by \(2\) in order to solve this system using the elimination method.

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The only point that lies on both lines is (-4,5).

To determine which of the points (−4,5), (4,3), and (1,2) lie on both the lines −x1−4x2=−16 and −3x1−5x2=−13, we need to check if the coordinates of each point satisfy both of the equations.

For the first line, we can rewrite it as x2 = (-x1 + 16)/4 and for the second line, we can rewrite it as x2 = (-3x1 + 13)/5.

Substituting the coordinates of each point into these equations, we get:

For the point (-4,5):

-4(2) + 16/4 = -4 + 4 = 0, and

-3(-4) + 13/5 = 12/5 + 13/5 = 25/5 = 5.

Therefore, (-4,5) satisfies both equations.

For the point (4,3):

4(2) + 16/4 = 8 + 4 = 12, and

-3(4) + 13/5 = -12 + 13/5 = -47/5.

Therefore, (4,3) does not satisfy both equations.

For the point (1,2):

-1(2) + 16/4 = -2 + 4 = 2, and

-3(1) + 13/5 = -3 + 13/5 = 2/5.

Therefore, (1,2) does not satisfy both equations.

Therefore, the only point that lies on both lines is (-4,5).

When given two equations, the solution can be found by solving the system of equations. To solve a system of equations, one should find the values of x and y that satisfy both equations. The solution to the system is the point (x,y) that satisfies both equations.

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Answer:

is it your homework?

Step-by-step explanation:

Answer:

x= 10±√−36

         2

Step-by-step explanation:

x2 − 10x = -34

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

x2−10x+34=0

For this equation: a=1, b=-10, c=34

1x2+−10x+34=0

Step 1: Use quadratic formula with a=1, b=-10, c=34.

x=(−b±√b2−4ac)/2a

x= −(−10)±√(−10)2−4(1)(34)

               2(1)

x= 10±√−36

         2

Answer:

No real solutions.

Answer:

The area of this section of pavement is 800 square feet

Step-by-step explanation:

10 ft times 80 ft = 800 square feet

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1) (-7) × (-5) =35

2) 2 × (-8) = -16

3). (-11) × 4 = (-44)

4). (-8) × 8 = -64

5). (-17) × (-2) = 34

6). (-10) ÷ (-2) = 5

7). 44 ÷ -11 = (-4)

In order to solve this problem, we'll use the Combinations Formula. This is because the order in which the coins are flipped is unimportant; all that matters is the total number of heads and tails. We'll begin by counting the number of ways to get exactly 4 tails and exactly 8 tails, then the number of ways to get 5 tails and 6 tails, and finally the number of ways to get 7 tails. We will then add all of these numbers together to get the final answer.

When you toss a coin, there are only two possibilities: heads or tails.

Let's call the number of times you get tails "t." We want to find the number of ways to toss the coin 11 times so that

4 <= t <= 8.

Here's how we can do it:

First, we'll find the number of ways to get exactly 4 tails. We know that we're flipping the coin 11 times, so there are 11 choose 4 ways to choose which 4 of those tosses will be tails. The other 7 tosses will be heads. Using the Combinations Formula, this gives us:

11 choose 4 = 330

Next, we'll find the number of ways to get exactly 8 tails. This is similar to the previous step, except that we're choosing 8 of the 11 tosses to be tails. The other 3 tosses will be heads. Using the Combinations Formula, this gives us:

11 choose 8 = 330

Again, using the Combinations Formula, we can find the number of ways to get exactly 5 tails and 6 tails:

11 choose 5 = 462

11 choose 6 = 462

Finally, we need to find the number of ways to get exactly 7 tails. This is a little trickier, but we can do it by splitting the problem into two cases: when the first toss is a tail and when the first toss is a head.

Case 1: The first toss is a tail. Then we need to get 6 tails in the remaining 10 tosses. There are 10 choose 6 ways to choose which 6 of the remaining 10 tosses will be tails. Using the Combinations Formula, this gives us:

10 choose 6 = 210

Case 2: The first toss is a head. Then we need to get 7 tails in the remaining 10 tosses. There are 10 choose 7 ways to choose which 7 of the remaining 10 tosses will be tails.

Using the Combinations Formula, this gives us:

10 choose 7 = 120

Adding up all of these numbers, we get:

330 + 330 + 462 + 462 + 210 + 120 = 1914

So there are 1914 ways to toss a coin 11 times so that the number of tails is between 4 and 8 inclusive.

Thus, the required answer is 1914.

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The distance between the x-intercepts is 6 units

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

Equation y = x² - 2x - 8

x-intercepts = (-2,0) and (4,0)

The distance between the x-intercepts is calculated as

distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

So, we have

distance = √[(-2 - 4)² + (0 - 0)²]

Evaluate

distance = 6

Here, we have

y = x² - 2x - 8

Differentiate and set to 0

2x - 2 = 0

So, we have

x = 1

In (b), we have

x = 1

So, we have

y = 1² - 2(1) - 8

Evaluate

y = -9

So, the y-coordinate is -9

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The given indefinite integrals can be evaluated as

a) ∫6etdt = 6et + c

b) ∫2rdr = r^2 + c

c) ∫10x^2 0dx = (10/3)x^3 + c

In calculus, an indefinite integral represents a family of functions that differ from each other only by a constant. It is also known as an antiderivative because it is the opposite operation of differentiation.

The indefinite integral of a function f(x) is denoted as ∫f(x)dx, where dx represents the variable of integration. The result of integrating a function is called an antiderivative or a primitive of the function.

For part a), the indefinite integral of 6e^t is simply 6e^t + C, where C is the constant of integration.

For part b), the indefinite integral of 2r is r^2 + C, where C is the constant of integration.

For part c), the indefinite integral of 10x^2 is (10/3)x^3 + C, where C is the constant of integration.

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Answer:

Step-by-step explanation:

Answer:

p=1000

t=5 years

r=10%

i=(ptr)/100

i=(1000×5×10)/100

i=50000/100

i=500