Zeke is making posters for the school play. He borrows 12 bottles of paint from the art teacher. Each bottle has 300 milliliters of paint. To make his posters really sparkle, he also brings 400 milliliters of glitter paint from home. How many liters of paint does he have in all?

Answer:

(0,0), (10,6) (15,9)

Step-by-step explanation:

Answer:

Origin(0,0)

First point(2.5,1.5)

2nd point (5,3)

3rd point(10,6)

Step-by-step explanation:

Answer: the letter B.

Answer:

one (Roman numeral one)

Step-by-step explanation:

Because the line goes straight like she is climbing up the hill at a steady pace then boom! all of a sudden she is falling down the hill and gaining major amounts of momentum causing the line to go up as she gets faster and faster.

The equation that represents the slope-intercept form of the given graph is y = x + 4.

The slope-intercept form of a linear equation is an equation that is written or expressed in the form y = mx + b. In this situation, m is the slope of the line, and b is the y-intercept, which is the point where the line crosses the y-axis.

Now, if we have two coordinate points, (-1,3), (0,4). We need to first determine the slope of the graph.

Slope = change in the y-axis/change in x-axis

Slope = y_2 - y_1/ x_2 - x_1

Slope = 4 - 3/ 0- - 1

Slope = 1/ 1

Slope = 1

y-intercept  = 4

Thus, in form of y = mx + b, the slope-intercept form of the linear equation can be written as y = x + 4

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Add 100 pounds of weight to the luggage hold to balance the aircraft.

The CG is out of equilibrium forward with the existing numbers; weight must be increased, preferably to the aft portions, to bring the moment into acceptable bounds. Fuel addition will just increase weight; it won't shift the CG back.

The 100 pounds of luggage will cause the CG to shift back. Add 100 pounds to the maximum weight of everything to get a total weight of 2890 pounds.

The CG is now at the new weight as well as in balance since the aft arm of the luggage compartment increases the total moment arm by 140 pounds, to 2362 pounds, bringing it into balance.

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Answer:

-2

Step-by-step explanation:

3n+2n+4=9n+12

5n+4=9n+12

5n-9n=-4+12

-4n=8

n=8/-4

n= -2

Answer:

-2

Step-by-step explanation:

I got this right in my assignment.

Answer:

-4

Step-by-step explanation:

the slope form is y=mx+b and when finding the slope you look at the m value for your answer

Answer:

The slope is -4

Step-by-step explanation:

The slope of an equation in y = mx + b form (slope-intercept form) is always going to be the coefficient of x.

Answer:

132, (D)

Step-by-step explanation:

area = base * height

= (5 + 6) * 12 = 11 * 12 = 132

Answer:

The answer is D, 132 cm^2! Brainleist pls!

Answer:

4 units

Step-by-step explanation:

15 will be the new median.

The four corners of a square are 90 degrees.

They are evenly split by the diagonal lines, so each corner is now two 45 degree angles.

The lines form triangles, which have 3 angles that need to equal 180 degrees.

Two of the angles are 45, so 45 + 45 = 90 degrees.

X = 180 -90 = 90 degrees.

Answer:

90 degrees

By 90 * 4 is 360

Step-by-step explanation:

Answer:

181,050 pieces of paper.

Step-by-step explanation:

If she needs 3,550 copies of a 51 page document, you can easily solve this problem by multiplying the amount of copies needed by pages per copy. 3,550 x 51 is 181,050.

The minimum length of the crest vertical curve is 354.1 feet, and the minimum length of the sag curves is 493.4 feet.

In designing the crest vertical curve, several criteria need to be considered, including driver perception-reaction time, design speed, and grade changes. The design should ensure driver comfort and safety by providing adequate sight distance.

To determine the minimum length of the crest vertical curve, we consider the stopping sight distance, which includes the distance required for a driver to perceive an object, react, and come to a stop. The minimum length of the crest curve is calculated based on the formula:

Lc = (V^2) / (30(f1 - f2))

Where:

Lc = minimum length of the crest vertical curve

V = design speed (in feet per second)

f1 = gradient of the approaching grade (in decimal form)

f2 = gradient of the departing grade (in decimal form)

Given the design speed of 60 mph (or 88 ft/s), and the grade changes of +4% and -3%, we can calculate the minimum length of the crest vertical curve using the formula. The result is approximately 434 feet.

Additionally, the sag curves are designed to provide a smooth transition between the crest curve and the approaching and departing grades. The minimum lengths of the sag curves are typically equal and calculated based on the formula:

Ls = (V^2) / (60(a + g))

Where:

Ls = minimum length of the sag curves

V = design speed (in feet per second)

a = acceleration due to gravity (32.2 ft/s^2)

g = difference in grades (in decimal form)

For the given scenario, the difference in grades is 7% (4% - (-3%)), and using the formula with the design speed of 60 mph (or 88 ft/s), we can calculate the minimum lengths of the sag curves to be approximately 307 feet each.

By considering the perception-reaction time, design speed, and grade changes, the minimum lengths of the crest vertical curve and the sag curves can be determined to ensure safe and comfortable driving conditions on the two-lane highway.

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Considering the median, the missing value of the data-set is of 31.

The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.

In this problem, since the set has even cardinality, the median is the mean of the middle elements, which are 23 and x. Since it is of 27, we have that:

(23 + x)/2 = 27

23 + x = 54

x = 31

Hence, the missing value of the data-set is of 31.

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Step-by-step explanation:

the correct answer is option a 6a-7

The correct option based on the hypothesis is that D. Proposition I is true and Proposition II is false.

The 5% significance level means that there is a 5% chance of making a Type I error. In other words, there is a 5% chance of rejecting the null hypothesis when it is actually true.

If the researcher rejects the null hypothesis, then they are making a Type I error. This means that they are concluding that vaccination causes a higher mean immunogenicity level when it actually does not.

Proposition I is true because there is a 5% chance of making a Type I error. Proposition II is false because the researcher has not yet made a decision. The researcher will only make a decision after they have calculated the p-value.

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Let's first denote:

F - a favorable response

F' - an unfavorable response

S - successful

We know that:

\(P(F) = 0.6\\\\P(F')=0.4\\\\P(F\cap S)=0.5\\\\P(F'\cap S)=0.3\)

So, from the conditional probability, we can calculate:

\(P(S|F) = \dfrac{P(S\cap F)}{P(F)} = \dfrac{0.5}{0.6}=\dfrac{5}{6}\approx\boxed{0.83}\)

Answer E.

Answer:

E IS CORRECT

Step-by-step explanation:

The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.

The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.

Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.

Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.

To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.

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There are 56,046 different three-course meals that can be ordered at Pizza House.To calculate the total number of different three-course meal combinations, we need to use the counting principle.

The counting principle states that if there are A ways to do one thing and B ways to do another, then there are A x B ways to do both.
In this case, we have:
- 22 ways to choose a salad
- 77 ways to choose a pizza
- 33 ways to choose a dessert

Applying the counting principle, we can calculate the total number of different three-course meals by multiplying the number of choices for each course:
22 (salads) x 77 (pizzas) x 33 (desserts) = 56,046 different three-course meals.
So, there are 56,046 different three-course meals.

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Answer:

hjjhhhjhhgghjhjhhdddf

Answer:

1.5 more pounds

Step-by-step explanation:

14.3-12.8=1.5

Answer:c

Step-by-step explanation: I hope this helped!

The formula to convert degrees Fahrenheit to Celsius is:

\(\bf{^{\circ}C=\dfrac{5}{9}(^{\circ}F-32) \ \ \to \ \ \ Formula }\)

Convert 59°F to degrees Celsius.

Add the number 59 in the formula, and solve.

        \(\bf{=\dfrac{5}{9}(59-32) }\)

Subtract 32 from 59.

         \(\bf{=\dfrac{5}{9}(27) }\)

Multiply 5 x 9 = 135, then divide 135/9 = 15.

         \(\bf{=15 \ ^{\circ}C}\)

Therefore 59 °F = 15 °C. The correct option is "D".

The probability of x taking on a value between 75 to 90 is 0.25.

Given that x is a continuous random variable uniformly distributed between 65 and 85.To find the probability that x lies between 75 and 90, we need to find the area under the curve between the values 75 and 85, and add to that the area under the curve between 85 and 90.

The curve represents a rectangular shape, the height of which is the maximum probability. So, the height is given by the formula height of the curve = 1/ (b-a) = 1/ (85-65) = 1/20.Area under the curve between 75 and 85 is = (85-75) * (1/20) = (10/20) = 0.5Area under the curve between 85 and 90 is = (90-85) * (1/20) = (5/20) = 0.25.

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The statements that are true about the line are option D and option F

To determine which statement is true, we can rewrite the equation of the line in slope - intercept form, which is y = m x + b, where m is the slope and b is the y-intercept.

Starting with the given equation, we can simplify it as follows:

y + 7 = - 3 (x - 2/9)

y = - 3x + 2/3 - 7

y = - 3x - 19/3

Now we can see that the slope of the line is -3, and the y-intercept is -19/3.

A. To check if the point (-3, 2/9,) is on the line, we can plug in x = -3, 2/9 and y = 0 into the equation:

0 = -3 (-3, 2/9) - 19/3

0 = 11

This is not true, so the point (-3 2/9,) is not on the line.

B. To check if the point (-3, -7) is on the line, we can plug in x = -3 and y = -7 into the equation:

-7 = -3( -3) - 19/3

-7 = 28/3

This is not true, so the point (-3, -7) is not on the line.

C. To check if the point (7, - 2/9) is on the line, we can plug in x = 7 and y = -2/9 into the equation:

-2/9 = -3(7) - 19/3

-2/9 = -70/3

This is not true, so the point (7, - 2/9) is not on the line.

D. To check if the point (2/9, -7) is on the line, we can plug in x = 2/9 and y = -7 into the equation:

-7 = -3 (2/9) - 19/3

-7 = -7

This is true, so the point (2/9, -7) is on the line.

E. To check if the point (-7,2/9) is on the line, we can plug in x = -7 and y = 2/9 into the equation:

2/9 = -3 (-7) - 19/3

2/9 = 40/3

This is not true, so the point (-7,2/9) is not on the line.

F. To check if the point (- 2/9, 7) is on the line, we can plug in x = - 2/9 and y = 7 into the equation:

7 = -3(-2/9) - 19/3

7 = 7

This is true, so the point (- 2/9, 7) is on the line.

Therefore, the statements that are true about the line are D and F.

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The complete question goes thus:

Which statement is true about the line represented by the equation y + 7= -3 (x - 2/9)?

A. The point (-3, 2/9) is on the line.

B. The point (-3, -7) is on the line.

C. The point (7, - 2/9) is on the line.

D. The point (2/9, -7) is on the line.

E. The point (-7, 2/9) is on the line

F. The point (- 2/9, 7) is on the fine

The definite integral that represents the area of the region enclosed by the polar curve r = 1 sin θ is ∫[a, b] 1/2 r^2 dθ

To determine the definite integral that represents the area of the region, we integrate the expression 1/2 r^2 with respect to θ over the interval [a, b], where a and b are the limits of the region.

In this case, the polar curve r = 1 sin θ represents a circle with radius 1 centered at the origin. As θ varies from 0 to π, the curve traces half of the circle in the positive direction. To find the area of the region enclosed by this curve, we integrate the expression 1/2 r^2 over this interval.

The expression 1/2 r^2 represents the area of a sector of the circle with radius r and central angle θ. Integrating this expression with respect to θ gives us the total area enclosed by the curve.

By evaluating the definite integral over the interval [a, b], we can find the area of the region enclosed by the polar curve r = 1 sin θ.

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When the area under the standard normal curve from 0 to z is 0.3508 and z is positive, the value of z is approximately 1.04 which can be found by using the z-table.

To find the value of z when the area under the standard normal curve from 0 to z is 0.3508 and z is positive, you can use the z-table or a standard normal distribution table.

1. Since the area from 0 to z is 0.3508, you need to find the total area to the left of z, which is the sum of the area from the left tail to the mean (0.5) and the area from the mean to z (0.3508). So, the total area to the left of z = 0.5 + 0.3508 = 0.8508.

2. Look up the closest value to 0.8508 in the standard normal distribution table (also known as the z-table), which shows the cumulative probability (area) for a given z-score.

3. Locate the row and column that corresponds to the value closest to 0.8508. In this case, the closest value is 0.8508 itself, located at the intersection of the row with 1.0 and the column with 0.04.

4. Combine the row and column values to find the corresponding z-score. In this case, the z-score is 1.04.

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