What type of angles are these?

Answer:

John drank 22.7 ounces of his water

John has 11.3 ounces left in his bottle

Step-by-step explanation:

34* 6/9=22.666666666, round up to 22.7

34-22.7=11.3

The value of x  for The quadrilateral which is a trapezoid is if the top is 21 and the bottom is 27 is option 2 that is 5.

Quadrilaterals called trapezoids have two parallel and two non-parallel sides. It also goes by the name Trapezium. A trapezoid is a closed, four-sided form or figure that has a perimeter and covers a specific area. It is a 2D figure rather than a 3D one. The bases of the trapezoid are the sides that are parallel to one another. Legs or lateral sides refer to the non-parallel sides. The height is the separation between the parallel sides.

From the given diagram, the expression below is true:

2(5x - 1) = 21 + 27

Expand

10x - 2 = 48

10x = 48 + 2

10x = 50

Divide both sides by 10

10x.10 = 50/10

x = 5

Hence the value of x is 5

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Answer:

The sample space (S) that consists of all elements is:

S = {red, red, red, red, white, white, white, white, blue, blue, blue, blue}.

The number of ways (N) that the four letters F, A, I, R can be arranged is:

N = 4 x 3 x 2 x 1 = 24

Hope this helps!

Answer:

y= -1/3x-2

Step-by-step explanation:

comment if u need a explaination

The best description of the relationship is: A. positive correlation.

The correlation between two variables can be positive or negative depending on how the trend line formed by the data points on a scatter plot slopes.

If the trend line is a declining line that slopes downwards from the left, it is a negative correlation. If the trend line slopes upwards from the left, it is a positive correlation.

The scatter plot in the image given shows a trend line that slopes upwards from the left. Therefore, the best description of the relationship is: A. positive correlation.

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Answer:

H = 7.8 t + 0

Step-by-step explanation:

H = -3.9 t×2 + 15.6 t

Result

H = 7.8 t  

Alternate form

H - 7.8 t = 0  

Alternate form assuming H and t are real  

H = 7.8 t + 0

i hope this helps

So, the basketball player needs to shoot the ball with a velocity of u so that the maximum height attained by the ball is 10.0625 feet.

Given, A basketball player shoots a foul shot, releasing the ball at a 45-degree angle from a position 6 feet above the floor, then the path of the ball can be modeled by the quadratic function,

h(x) = -0.005x² + 0.45x + 6

Here, the ball has released at an angle of 45 degrees, then the vertical velocity (v) and horizontal velocity (u) can be given as:

v = usinθ = ucosθ = gt...

As the projectile motion is a 2-D motion]where t is the time, g is the acceleration due to gravity.

As the maximum height is attained at the mid of the total time taken, thus the time taken to attain the maximum height (H) can be given as:

H = u sin(θ)/g

So, H = u/g [Here, sin(θ) = 1/root2]

Also, The total time (T) of flight can be given as:

T = 2u sinθ/g

We can calculate the value of T using the formula above.

T = 2u sinθ/g

= 2u(1/root2)/g

= u/g√2

Now, Let's put the value of T in the quadratic equation of the path of the ball,h(x)

= -0.005x² + 0.45x + 6h(x)

= -0.005(x² - 90x) + 6h(x)

= -0.005(x²- 90x + 2025 - 2025) + 6h(x)

= -0.005((x - 45)²- 1012.5) + 6h(x)

= -0.005(x - 45)² + 10.0625

As the vertex of the parabola represents the maximum height, thus the maximum height (H) can be given as, H

= 10.0625 feet

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x = 245/5 x = 49, the length of the side LN is 49 cm.

The sides of the triangles ABC and LMN are proportional due to their similarity. Let's call the length of the LN side x cm.

We are able to establish the proportion based on the similarity as follows:

When we plug in the given values, we get AB/LM = AC/LN:

5/35 = 7/x We can cross-multiply and solve for x to get x:

When we divide both sides by 5, we get: 5x = 7 * 35 5x = 245

Since x = 245/5 x = 49, the length of the side LN is 49 cm.

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Answer:

(x,y) (9,4)

Step-by-step explanation:

-2x+7y = 10

x -3y = -3 (move x to the other side)

-2x +7y = 10

x = -3 + 3y (put in for x)

-2 (-3 +3y) +7y =10 ( slove for y)

6-6y +7y = 10

6+y = 10

y = 10-6

y = 4

go back slove for x

x = -3+3x4

x = 9

Using the concepts of  probability, we got that an experiment may have d) several events

Event is called one or more outcomes of an experiment. Example of this is -rolling a dice, we get a possible outcomes as {1,2,3,4,5,6}.

In an experiment there can be one outcome, two outcomes, more than two outcomes or several outcomes.

An event is the collection of one or more of the outcomes of an experiment. An event that actually includes one and only one of the (final) outcomes for an experiment is called the simple event and is denoted by Ei.

Hence, an experiment may have d)several events

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Answer:

11√2−5√7 (the first answer)

Answer:

9√2−3√7+√8−√28 = 11√2−5√7

Answer:

123 cm^2

Step-by-step explanation:

for the rectangles its

#1     5(4)=20 cm^2

#2    5(7)= 35 cm^2

#3     5(8) = 40 cm^2

for the triangles its

4(7)(.5)(2)= 28 cm^2

4(7)= 28 cm^2

I get the .5 from the triangle area formula

and since the triangles are equal I multiplied it by 2 again so the .5 cancels out.

in the end you add them all up which is 20+35+40+28 = 123 cm^2

P(3 to 7) = P(3) + P(4) + P(5) + P(6) + P(7).To solve the given probabilities, we can use the binomial probability formula:

P(x) = C(n, x) * p^x * (1 - p)^(n - x)

Where:

- P(x) is the probability of exactly x successes

- C(n, x) is the number of combinations of n items taken x at a time

- p is the probability of success for each trial

- n is the number of trials

Given that 8% (0.08) of all Americans live in poverty, and we are selecting 36 Americans randomly, we can calculate the following probabilities:

a) Probability that exactly 1 of them live in poverty:

P(1) = C(36, 1) * (0.08)^1 * (1 - 0.08)^(36 - 1)

b) Probability that at most 2 of them live in poverty:

P(at most 2) = P(0) + P(1) + P(2)

             = C(36, 0) * (0.08)^0 * (1 - 0.08)^(36 - 0) + C(36, 1) * (0.08)^1 * (1 - 0.08)^(36 - 1) + C(36, 2) * (0.08)^2 * (1 - 0.08)^(36 - 2)

c) Probability that at least 1 of them live in poverty:

P(at least 1) = 1 - P(0)

d) Probability that between 3 and 7 (including 3 and 7) of them live in poverty:

P(3 to 7) = P(3) + P(4) + P(5) + P(6) + P(7)

Using the formula and the provided values, we can calculate these probabilities.

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The length of line segment C'D is 3 units.

Two distinct points on a line define the boundaries of a line segment. A line segment is also referred to as a section of a line that connects two points. The difference between a line and a line segment is that a line has no endpoints and can go on forever in either direction.

The length of three units is contained in the line segment CD.

To obtain the line segment C'D, it must now be transformed 2 units to the right on the coordinate plane.

Based on the information above, we can conclude that the length is unchanged because there is only a change in the location of the line segment from CD to C'D.

As a result, we can say that the C'D is 3 units long.

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Answer:$16.25

Step-by-step explanation:You subtract 25-12 and get 13 then you multiply 125 to that 13 and get $16.25

Answer:  the answer is $442.80

Answer:

442.80

Step-by-step explanation:

You would first multiply 15 by 36 to get a product of 540. Then you would subtract $540 by $37.80 and $59.40 to get a difference of 442.80

15x36 =540
540 - 37.80 - 59.40 = $442.80

so (0,-3) and  (2,0) is a solution.   (2,2) and (-3,0) is not a solution. as  the equation of the line passing through the points (0,-3) and (2,0) is y = (3/2)x - 3 we need to substitute points to check valid or not

what is equation ?

An equation is a mathematical statement that asserts that two expressions are equal. In other words, an equation says that one expression on the left side of the equals sign is the same as the expression on the right side of the equals sign. An equation typically includes variables

In the given question,

To determine the equation of the line passing through the points (0,-3) and (2,0), we can use the slope-intercept form of a linear equation:

y = mx + b

where m is the slope and b is the y-intercept.

The slope of the line can be found using the formula:

m = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) = (0,-3) and (x₂, y₂) = (2,0)

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

So the equation of the line is:

y = (3/2)x - 3

Now we can check which ordered pair is a solution to this equation by plugging in the x and y values into the equation and seeing if it holds true.

A. (0,-3)

y = (3/2)x - 3

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

-3 = -3

This is true, so (0,-3) is a solution.

B. (2,0)

y = (3/2)x - 3

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

0 = 0

This is true, so (2,0) is a solution.

C. (2,2)

y = (3/2)x - 3

2 = (3/2)(2) - 3

2 = 0

This is false, so (2,2) is not a solution.

D. (-3,0)

y = (3/2)x - 3

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

0 = -9/2

This is false, so (-3,0) is not a solution.

Therefore, the solutions to the equation represented by the graph are A. (0,-3) and B. (2,0).

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(A) A person's chance of experiencing neither symptom is 30%. (b) Seventy percent of people are likely to experience at least one symptom. (c) If a person has symptom B, there is a 25% chance that they will also have both symptoms.

(A) The individual exhibits neither symptom:

Let's write P(A) for the likelihood of having symptom A and P(B) for the likelihood of having symptom B. Given that 20% of people only have symptom A, 40% only have symptom B, and 10% only have both symptoms, the likelihood of having neither symptom can be determined as follows:

100% - P(A) - P(B) - P(both symptoms) - P(neither symptom)

P(none of the symptoms) = 100% – 20% – 40% – 10% = 30%

As a result, there is a 30% chance that a randomly selected person will exhibit neither symptom.

(b) At least one symptom is present in the person.

We can use the complement rule to calculate the likelihood that at least one symptom will be present. Neither symptom is the opposite of having at least one symptom. Because of this, P(at least one symptom) = 1 - P(neither symptom), and P(at least one symptom) = 1 - 0.30 = 0.70.

Therefore, there is a 70% chance that a randomly selected individual has at least one symptom.

(c) The person has both symptoms, given that they have symptom B:

To calculate this conditional probability, we use the formula:

P(both symptoms | symptom B) is equal to the product of P(both symptoms and symptom B) / P(symptom B).

We are informed that 40% of people only have symptom B whereas 10% have both symptoms. P(both symptoms | symptom B) = (10% / 40%) = 0.25 as a result.

Given that they have symptom B, a randomly selected person has a 25% chance of having both symptoms.

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Answer:

319

Step-by-step explanation:

...............///.......///

Step-by-step explanation:

45+45

90

I guess is the answer

Tri-County will have to charge approximately $83.1 per MWh to break even.

To calculate the break-even price that Tri-County will have to charge to cover its costs, we need to consider both the fixed costs and the variable costs. The fixed costs are given as $80.1 million per year.

The variable costs are calculated by multiplying the quantity of electrical power sold (150,000 MWh per year to Boulder) by the variable cost per MWh ($20). Therefore, the variable costs amount to 150,000 MWh/year * $20/MWh = $3 million per year.

To cover both fixed and variable costs, Tri-County needs to charge a total amount that equals the sum of these costs. The total cost is $80.1 million + $3 million = $83.1 million per year.

Now, let's calculate the break-even price per MWh. Since Tri-County has a demand of 1,000,000 MWh from its customers (other than Boulder), we can divide the total cost by this quantity to find the break-even price.

Break-even price = Total cost / Quantity of electrical power demanded
Break-even price = $83.1 million / 1,000,000 MWh = $83.1/MWh

Therefore, Tri-County will have to charge approximately $83.1 per MWh to break even.

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Firstly, calculate the radius r of the circle using distance between two points

Then use the radius r=5 and the center (-1 , 5) to find the equation of the circle

The center radius form is

The standard form is

Answer:

3

Step-by-step explanation:

The volume of the sugar cube is changing at a rate of -150 mm³ per minute when the edge length is 10 mm.

Let's denote the edge length of the cube as "x" and the volume of the cube as "V". We are given that the edge length is decreasing at a rate of 0.5 mm per minute.

The volume of a cube can be calculated as V = x³.

To find the rate at which the volume is changing with respect to time (dV/dt), we need to take the derivative of the volume equation with respect to time:

dV/dt = d/dt(x³)

Using the chain rule, we can differentiate the equation with respect to time:

dV/dt = 3x² * dx/dt

We know that dx/dt is -0.5 mm per minute (since the edge length is decreasing at that rate). We also know that the edge length is 10 mm when we want to find the rate of change of the volume.

Plugging in the values:

dV/dt = 3(10²) * (-0.5)

dV/dt = 300 * (-0.5)

dV/dt = -150 mm³/min

Note that the negative sign indicates that the volume is decreasing over time.

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After 8 seconds the ball height was 42 units.

It is given that on a game show, contestants shoot a foam ball toward a target. The table includes points along one path the ball can take to hit the target where x is the time that has passed since the ball was launched and y is the height at this time.

It is required to find how high was the ball after 8 seconds.

It is defined as the graph of a quadratic function that has something bowl-shaped.

The orbit of the ball will be a parabola.

We know the standard form of a quadratic function:

\(\rm y=ax^2+bx+c\)      where \(\rm \\a\neq 0\)

At x = 0 and y = 10, we get:

\(\rm 10 =a(0)^2+b(0)+c\\\rm 10= c\\\rm c=10\)

At x = 2 and y=24, we get:

\(\rm 24= a(2)^2+b(2)+c\\\rm 24=4a+2b+10\\\rm 4a+2b=14\)....(1)

At x = 16 and y = 10, we get:

\(\rm 10= a(16)^2+b(16)+c\\\rm 10=256a+16b+10\\\rm 256a+16b=0 \\\)....(2)

By solving equations (1) and (2), we get;

a = - 1/2, b = 8 and c = 10

Putting these values in the standard form of a quadratic function, we get:

\(\rm y = - \frac{1}{2} x^2+8x+10\\\)

Now, after 8 seconds means when x = 8, we get:

\(\rm y=-\frac{1}{2}\times 8^2 +8\times8+10\\\rm y = -32+64+10\\\rm y= 42\)

Thus, after 8 seconds the ball height was 42 units.

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Answer:

b

Step-by-step explanation:

The boiling point of a solution containing 310.3 grams of NiCl3 in 55 mL of water is higher than the boiling point of pure water.

To calculate the boiling point of the solution, we need to consider the effect of the solute (NiCl3) on the boiling point of water. The boiling point elevation (∆Tb) can be calculated using the formula:

∆Tb = Kb * m

Where Kb is the molal boiling point elevation constant and m is the molality of the solution. To find the molality, we need to calculate the moles of solute (NiCl3) and the mass of the solvent (water).

Moles of NiCl3 = Mass / Molar mass

Molar mass of NiCl3 = 58.69 g/mol + (35.45 g/mol * 3) = 164.29 g/mol

Moles of NiCl3 = 310.3 g / 164.29 g/mol = 1.886 mol

Mass of water = Volume * Density

Mass of water = 55 mL * 0.997 g/mL = 54.835 g

Molality (m) = Moles of solute / Mass of solvent

Molality (m) = 1.886 mol / 0.054835 kg = 34.380 mol/kg

Now, we can use the molality to calculate the boiling point elevation (∆Tb). The molal boiling point elevation constant (Kb) for water is approximately 0.512 °C/m.

∆Tb = 0.512 °C/m * 34.380 mol/kg = 17.610 °C

Finally, we add the boiling point elevation (∆Tb) to the boiling point of pure water, which is 100 °C.

Boiling point of the solution = 100 °C + 17.610 °C = 117.610 °C

Therefore, the boiling point of the solution containing 310.3 grams of NiCl3 in 55 mL of water is higher than the boiling point of pure water.

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Answer:

y = 10(3)^x

Step-by-step explanation:

The general form of an exponential function is

\(y=ab^x\), where x and y are any coordinate in the exponential function, a is the initial value, and b is the base.

Currently, we only have xs and ys, which forces us to find a and b:

\(90=ab^2\\810=ab^4\)

We can find b first by dividing the larger x and y (4, 810) by the smaller x and y (2, 90).  Thus, we must plug the xs and ys in and create a fraction:

\(\frac{810}{90}=\frac{ab^4}{ab^2}\)

We know that a represents a value a number divided by itself is 1 and that 810/90 = 9 so we now have:

\(9=\frac{b^4}{b^2}\)

According to quotient rule of exponents, when you divide bases with exponents, you subtract the exponent on the numerator from the base on the denominator:

\(9=b^4^-^2\\9=b^2\\3=b\)

Now we can simply plug in our first coordinate and 3 for b to find a:

\(90=a(3)^2\\90=9a\\10=a\)

Thus, the equation of the exponential function which contains the points (2,90) and (4,810) is

y = 10(3)^x

Kim was solving a problem using the six steps first she read the problem then she wrote down the facts and figures next she knew she had to find a relation between what’s given and what's asked for.

After that, she formulated a plan or strategy to solve the problem. Then, she carried out the plan and solved the problem. Finally, she checked her answer to see if it made sense and if it was reasonable.

These six steps are often used in problem-solving and are a useful way to approach a problem systematically. By following these steps, one can ensure that all the relevant information is taken into consideration, a plan is developed to solve the problem, and the solution is verified before presenting it as the final answer.

The six steps are:

1. Determining the problem statement.

2. Identifying the main causes of the problem.

3. Developing viable solutions relevant to the problem.

4. Selecting one solution among the options.

5. Applying the solution on the problem at hand.

6. Evaluating the effect of the solution on the problem.

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