4. The figure shows a rectangular tank.

(a) The capacity of the tank is ___ L.

(b) After pouring 10L of water into the tank, the depth of water will be __ cm.

Answer:

1/4

Step-by-step explanation:

because when u add the demical u get the answer b

Using proportions, it is found that the amount of money in their budget spent for house payment and utilities is given by:

The rule of three is:

$3,200 - 1

$x - 0.35

Applying cross multiplication:

\(x = 0.35(3200) = 1120\)

Hence option E is correct.

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Answer:

its 0

Step-by-step explanation:

yea i made that up I NEED POINTS ALR

Answer:

Total amount = $2550

Step-by-step explanation:

To move in the apartment payments to be done,

1). First month rent = $1500

2). Security deposit = $750

3). Pet deposit = $300

Total payment to be done = 1500 + 750 + 300

                                            = $2550

Therefore, total amount to be paid = $2550

I will write a check of $2550.

Answer:

(2,-1)

Step-by-step explanation:

We know that,

Whenever a point lies on the graph of an equation, the coordinate pair of the point will be a solution to the equation.

As in this case,

(2,-1) lies on the lines of both Equation 1 and Equation 2. Hence, their common solution is (2,-1).

Answer:

cho kevin and sydney qualify

Step-by-step explanation:

Answer:

-------------------------

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

It will take approximately 39.532 days for $9500 to earn $800 at an annual interest rate of 8.25%.

To find the number of days it will take for $9500 to earn $800 at an annual interest rate of 8.25%, we need to use the formula for simple interest:

Interest = Principal * Rate * Time

In this case, we are given the interest ($800), the principal ($9500), and the annual interest rate (8.25%). We need to solve for time.

Let's denote the time in years as "t". Since we're looking for the number of days, we'll convert the time to a fraction of a year by dividing by 365 (assuming a standard 365-day year).

$800 = $9500 * 0.0825 * (t / 365)

Simplifying the equation:

800 = 9500 * 0.0825 * (t / 365)

Divide both sides by (9500 * 0.0825):

800 / (9500 * 0.0825) = t / 365

Simplify the left side:

800 / (9500 * 0.0825) ≈ 0.1083

Now, solve for t by multiplying both sides by 365:

0.1083 * 365 ≈ t

t ≈ 39.532

Therefore, it will take approximately 39.532 days for $9500 to earn $800 at an annual interest rate of 8.25%.

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Answer:

X ≥ 10,000

Step-by-step explanation:

The ‘x’ represents the money they raised and the inequality would be ≥ because you would want to raise at least $10,000 or more.

The mean of the given data set is 3.5, the variance is 5.056, and the approximate mean using the grouped data table is 0.428.

The average of a set of values is referred to as the mean. To calculate the mean of a dataset, add up all of the values and divide by the number of values.

We can calculate the mean of the given data set as follows:

Mean = (9 + 6 + 2 + 0 + 2 + 3 + 5 + 2 + 1 + 5)/10

Mean = 3.5

Variance:Variance is a measure of how much a set of data varies. In other words, variance tells us how far each value in the dataset is from the mean. The variance formula is as follows:

σ² = (Σ(x - μ)²) / N

Where σ² is the variance, Σ is the sum, x is each value in the data set, μ is the mean of the data set, and N is the number of values in the data set.

Using the above formula, we can calculate the variance for the given data as follows:

First, we need to calculate the mean of the data set.x f(x)

xf(x)4 1 45 3 15 6 4 24 7 4 28 8 2 16

Total 14 128

Mean (μ) = 128 / 14 = 9.14

σ² = (Σ(x - μ)²) / N

σ² = [1(4 - 9.14)² + 3(5 - 9.14)² + 4(6 - 9.14)² + 4(7 - 9.14)² + 2(8 - 9.14)²] / 14

σ² = 5.056

Approximating the Mean:

We can use the midpoint of each interval as an approximate value for the entire interval. We can calculate the approximate mean as follows:

Mean = Σ(midpoint × proportion of stocks)

Mean = (-0.80 × 0.03) + (-0.40 × 0.03) + (0.00 × 0.2) + (0.40 × 0.44) + (0.80 × 0.16) + (1.20 × 0.06) + (1.60 × 0.05) + (2.00 × 0.03)

Mean = 0.428

Therefore, the mean of the given data set is 3.5, the variance is 5.056, and the approximate mean using the grouped data table is 0.428.

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The values of  f(−4), f(−2), and f(3) for given piecewise function are 0, -4, and -3.5 respectively.

What is piecewise function ?

Whenever the summation of two functions is different over different intervals, the sum is a piecewise function.

Here, the given piecewise function f(x) is :

\(\begin{aligned}f(x)&=\left\{\begin{matrix}\frac{-1}{2}x-2 \text{ if} \:x \neq -2&\\-4 \:\:\:\:\:\:\;\;\text{ if }x = -2\end{matrix}\right.\end{aligned}\)

Now, let us find the value of f(-4) :

for x = -4 the function f(x) is (-1/2)x -2, substituting x = -4 in place x :

f(x) =  (-1/2)x - 2

f(-4) = (-1/2)*(-4) - 2  

f(-4) = 2 - 2

f(-4)  = 0

similarly, for f(-2) :

for x = -2 the function f(x) is -4 only that is :

f(-2) = -4

For, let us find the value of f(3) :

for x = 3 the function f(x) is (-1/2)x -2, substituting x = 3 in place x :

f(x) =  (-1/2)x - 2

f(3) = (-1/2)*(3) - 2  

f(3) = -3/2 - 2

f(3)  = - 3.5

Therefore, the values of  f(−4), f(−2), and f(3) are 0, -4, and -3.5 respectively.

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Given:

There are given that the MN is the midsegment of the trapezoid ABCD.

Explanation:

According to the question:

We need to find the value of segment AB:

So,

From the formula of a segment of midpoint:

Then,

Put the value of the segment of MN and CD:

So,

Then,

Final answer:

Hence, the correct option is A.

1. The value of x based on the vertical angles is 240°

2. One can find x by Multiplying 40 by 6.

Vertical angles are pairs of angles that share the same vertex and are opposite to each other. In other words, if two intersecting lines intersect at a point, then the angles that are opposite to each other at that point are called vertical angles.

Vertical angles are always congruent, which means that they have the same measure. This property is known as the vertical angle theorem. The theorem states that if two lines intersect, then the opposite angles formed are congruent.

The value of x based on the vertical angles is:

x/ 6 = 40

x = 40 × 6

x = 240

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Answer:

∠B

∠Y

Step-by-step explanation:

we know that

In the right triangle ABC

----> opposite side to angle B divided by the adjacent side to angle B

substitute the values

Remember that

If two triangles are similar, then the corresponding sides are proportional and the corresponding angles are congruent

so

∠A=∠W

∠B=∠Y

∠C=∠Z

The distance by which the cage will drop is; 25.12m.

According to the task content, the diameter of the winch drum is; 6m.

On this note, it follows that the radius of the drum is; 6/2 = 3m.

The drop in the cage height is therefore;

C = 2 πr = 2 × 3.14 × 4

C = 25.12m.

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The elevation gain of Mount Everest is 15,028 feet, a very impressive feat considering it is the highest elevation gain of any mountain in the world.

The difference between the height at the base of Mount Everest, which is 14,000 feet and the summit, which is 29,028 feet is 15,028 feet. This is also known as the elevation gain. It can be calculated using the following formula:

Elevation Gain = Summit Height - Base Height

So in this case, Elevation Gain = 29,028 ft - 14,000 ft

Which gives us: Elevation Gain = 15,028 ft

The elevation gain of Mount Everest is 15,028 feet, a very impressive feat considering it is the highest elevation gain of any mountain in the world. It is also the highest mountain in the world, with the summit standing at an impressive 29,028 feet. This is a testament to the power of nature and the sheer scale of Mount Everest.

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Bob continues his research because even though there is no linear equation relationship between the number of bedrooms and selling price, there could be another type of relationship.

Bob continues his research because even though the correlation value he calculated between the number of bedrooms and the selling price was only 0.05, this does not necessarily mean that there is no relationship of any kind between these two variables. It simply means that there is no linear relationship between the two. There could still be other types of relationships between the two variables, such as an exponential or quadratic relationship. It is possible that further analysis and exploration of the data set would reveal such a relationship and allow Bob to uncover the relationship between the two variables. Additionally, even if the correlation value is low, it does not necessarily mean that there is no relationship between the two variables. It simply means that the relationship is weak. Therefore, Bob should continue his research in order to uncover any potential relationships between the number of bedrooms and selling price.

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Answer:

x/2  - 8x + 15

Step-by-step explanation:

Expand the polynomial using the foil method

Carolina will spend a total of $168 in 7 weeks, purchasing 2 pens per week at a price of $12 per pen.



To calculate the total amount Carolina will spend in 7 weeks, we need to multiply the number of weeks by the number of pens purchased each week and then multiply that by the price of each pen. In this case, Carolina buys 2 pens every week at a price of $12 per pen.

Number of pens purchased each week: 2

Price per pen: $12

To find the total amount spent in 7 weeks, we can use the formula: Total spent = (Number of pens purchased each week) × (Price per pen) × (Number of weeks).

Total spent = 2 pens/week × $12/pen × 7 weeks = $24 × 7 = $168.

Therefore, Carolina will have spent a total of $168 in 7 weeks, purchasing 2 pens per week at a price of $12 per pen.

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The distance the tip of the minute hand travels during 40 minutes is 81.64 cm

Distance is the sum of an object's movements, regardless of direction. Distance may be defined as the amount of space an item has covered, regardless of its beginning or finishing position. Let's use the following illustration to grasp the notion of distance: Description of the distance.

The minute hand makes a circle in the space of one hour.

15 .2 cm is the circle's radius (r).

Circumference of a circular clock = 2π r = 2 x 3.14 x 15.2 = 94.2 cm

As a result, the minute hand's point travels 94.2 cm in an hour.

the distance the tip of the minute hand travels during 40 minutes is

40 minutes see a 6.28 cm movement of the tip.

40 minutes is 0.66 hrs =  94.2 - 6.28 = 81.64

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Using fractional operation, since Jack ate ¹/₂ of the delicious pizza with ¹/₆ left, Jill ate ¹/₃ of it.

The fractional operations involve mathematical operations using fractions, which are parts or portions of the whole value or quantity.

Some of the mathematical operations include addition, subtraction, multiplication, and division.

The fraction ate by Jack = ¹/₂

The fraction of the pizza left over after Jack and Jill have eaten = ¹/₆

The fraction or portion that Jill ate = ¹/₃ [1 - (¹/₂ + ¹/₆)]

Thus, we can conclude that Jill ate ¹/₃ of the delicious pizza.

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Answer:

x and y can be any two numbers greater than zero such that y is also greater than x

D.no more than 45

C.50 miles per hour

Step-by-step explanation:

Let the two numbers be such that x< y because we have been given y/x>1 and x/y< 1 .

Suppose we take y= 9 and x= 3 then

9/3 > 1

3>1

Also

3/9 < 1

1/3 < 1

x and y can be any two numbers greater than zero such that y is also greater than x

2. Total weight that can be carried is 3000 pounds.

The big machine is 300 pounds. The weight that the truck can carry beside the big machine is 3000-300= 2700 pounds.

The smaller machines weigh 60 pounds

The number of smaller machines that can be carried is 2700 ÷ 60= 45 other than the big machine.

3. Total distance = Speed * time

                           = 48 * (40/60) = 32 miles

New distance = 32+ 8= 40 miles

New time = 48 minutes

Speed = distance / time = 40/ 48/60=  50 miles per hour

Answer:

39001

Step-by-step explanation:

Answer:

The slope intercept form is y=-7x+59

Step-by-step explanation:

y-y=m(x-x1)

y-3=-7(x-8)

y-3=-7x+56

+3 +3

y=-7x+59

The statistic among the options provided is 300.A statistic is a numerical measure that describes a characteristic of a sample.

In this case, the number 300 represents the sample size, which is a statistic. The other options provided are either population parameters (i.e., the mean and standard deviation of the entire population) or a number that is not relevant to the problem.

The problem provides us with the mean and standard deviation of the sample, which are statistics. The mean of the sample is 92, and the standard deviation is not provided in the problem.

Additionally, we are given the mean and standard deviation of the entire population, which are population parameters. The mean of the population is 580, and the standard deviation is 110. Therefore, the only option among the given choices that represents a statistic is 300, which is the sample size.

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Answer: 20 liters

Step-by-step explanation:

Let the number of liters of 15% alcohol solution be \(x\).

\(0.15x+30(0.4)=0.3(x+30)\\\\0.15x+12=0.3x+9\\\\12=0.15x+9\\\\0.15x=3\\\\x=20\)