Lines k and l are parallel. When lines k and l are cut by the transversals below, an isosceles triangle is formed. Lines k and l are parallel. Lines s and t intersect lines k and l to form a triangle. At the intersection of lines s, t, and k, clockwise from top left, the angles are blank, blank, blank, 70 degrees, 1, blank. At the intersection of lines s and l, the angles are blank, x degrees, blank, blank. At the intersection of lines l and t, the angles are x degrees, blank, blank, blank. What is Measure of angle 1? 35 degrees 40 degrees 55 degrees 70 degrees

Answer:

i think its

x^2 + (y + 2)^2 = 21.

Step-by-step explanation:

\(Area=\frac{(a + b)}{2} \cdot h\\144 = \frac{(12 + 8)}{2} \cdot h\\144 = \frac{20}{2} \cdot h\\144 = 10h\\h = \frac{144}{10} = \frac{72}{5}\)

To maximize the volume, of the rectangular prism, the carton should have dimensions of approximately 10.74 inches (length), 10.74 inches (width), and 5.37 inches (height).

Assuming the height of the rectangular prism is h inches.

According to the given information, the length and width of the prism will be twice the height, which means the length is 2h inches and the width is also 2h inches.

The total surface area of the rectangular prism is given by the formula:

Surface Area = 2lw + 2lh + 2wh

Substituting the values, we have:

576 = 2(2h)(2h) + 2(2h)(h) + 2(2h)(h)

576 = 8h² + 4h² + 4h²

576 = 16h² + 4h²

576 = 20²

h² = 576/20

h² = 28.8

h = √28.8

h = 5.37

The height of the prism is approximately 5.37 inches.

The length and width will be twice the height, so the length is approximately 2 * 5.37 = 10.74 inches, and the width is also approximately 2 * 5.37 = 10.74 inches.

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Answer:

555052

Step-by-step explanation:

The class width is 4, the 4th-class upper-class limit is 40, the frequency of the 3rd class is 4 and the cumulative frequency of the 1st class is 5.

The Class Width of 4 means that each class interval in the data set covers a range of 4 units. This provides a clear and consistent way to group and analyze the data. The Upper-Class Limit of the fourth class is 40, which is the highest value that can be included in that class.

The frequency of the third class, with a range of 36-40, is 4, indicating that there are 4 values in the data set that fall within that range. Finally, the Cumulative Frequency of the first class, with a range of 32-36, is 5. This means that there are 5 values in the data set that fall within that range or lower, including the upper limit of 36.

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The linear function is given as follows:

\(y = \sqrt{x} + 4\)

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The y-intercept is of 4, hence the parameter b is given as follows:

b = 4.

The line is inclined to 60° with the positive direction of X-axis, hence the slope m is given as follows:

m = tan(60º)

\(m = \sqrt{3}\)

Thus the function is given as follows:

\(y = \sqrt{x} + 4\)

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"the difference between five more than the larger number and twice the smaller number' can be written as the expression 31 -3x.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given, the sum of two numbers is twenty-six the difference between five is more than the larger number and twice the smaller number' into a variable expression.

Since x represents the smaller of the two numbers,

Thus the larger number will be 26 - x

The expression asked above will be:

=> 5 + larger number - 2 * smaller number

=> 5 + 26 - x - 2 * x

=> 31 -3x

therefore,  "the difference between five more than the larger number and twice the smaller number' can be written as the expression 31 -3x.

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Answer:

Step-by-step explanation:

Use the cosine rule and see if the numbers hold true. a^2 = b^2 + c^2 - (2bc (cos x))

By substituting in our values I get that cos x = 0.838... which is possible. If cos x would equal 1.5, the there is no solution and the triangle would not be possible.

Answer:

60000 ty ..............

Answer:

60000

..............

what a difficult question !!! Do not ask such difficult questions ..lol

Answer:

6.8

Step-by-step explanation:

To round 6.752 to the nearest tenth consider the hundredths’ value of 6.752, which is 5 and equal or more than 5. Therefore, the tenths value of 6.752 increases by 1 to 8.

Answer: To find the total distance Reena covers in 6 days of a week, we need to consider the distance between her school and house for a single round trip and then multiply it by 6.

Given that the distance between the school and Reena's house is 1 km 480 m, we can add the distance for a one-way trip to get the total round trip distance.

Total round trip distance = 1 km 480 m + 1 km 480 m = 2 km 960 m

Now, to find the distance covered by Reena in 6 days, we multiply the round trip distance by 6:

Total distance covered in 6 days = 2 km 960 m * 6

Converting the distance to meters for easier calculation:

2 km 960 m = 2960 m

Total distance covered in 6 days = 2960 m * 6

Calculating the total distance covered:

Total distance covered in 6 days = 17760 m

Therefore, Reena covers a total distance of 17,760 meters (or 17.76 kilometers) in 6 days of a week.

Let's represent the number with the variable "x". According to the given property, we can write the following equation:

3(x + 4) < 7x

Now, let's solve this inequality to find the range of numbers that satisfy the property.

3x + 12 < 7x

Subtract 3x from both sides:

12 < 4x

Divide both sides by 4 (since the coefficient of x is 4):

3 < x

So, the range of numbers that satisfy the given property is x > 3.

Therefore, any number greater than 3 will satisfy the condition. For example, 4, 5, 6, 7, 8, etc.Step-by-step explanation:

Answer:

m=1

Step-by-step explanation:

The plots (-4,3) and (2,1) have a slope of -1. Perpendicular lines would mirror that, making it a positive 1

Answer:

The triangles are similar.

Explanation:

Similar triangles have 3 pairs of congruent angles. In this diagram, we can see that the triangles WXP and WYZ share angle W, which is congruent to itself; therefore, they have at least 1 pair of congruent angles. We are given that angle X is congruent to angle Y, so that is a second pair of congruent angles. Finally, we know that angle P is congruent to angle Z because if two pairs of corresponding angles are congruent, then the third pair must also be congruent because the measures of the interior angles of both triangles have to add to 180°.

Answer: 882.96

Step-by-step explanation:

The product of -16.98 and 5.2 is -88.296.

The given expression is -16.98 multiplied by 5.2. To find the product, multiply the two numbers:

-16.98 * 5.2 = -88.296.

Therefore, the product of -16.98 and 5.2 is -88.296. The correct answer is -88.296, which matches the second option. When multiplying a negative number by a positive number, the result is negative. The calculation involves multiplying the absolute values (16.98 and 5.2) and then assigning the negative sign to the product. In this case, the product is -88.296, as it accurately represents the multiplication of -16.98 and 5.2.

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Answer: 56.55 because π6^2 is 113.1, divided by 2 is 56.55

Answer:

Step-by-step explanation:

I think A repent 100 and B repent 10

The limit of each function at the given point i n the question 10 to 14, is explained below.

A function may get close to two distinct limits. There are two scenarios: one in which the variable approaches its limit by values larger than the limit, and the other by values smaller than the limit. Although the right- and left-hand limits are present in this scenario, the limit is not defined.

When a variable approaches its limit from the right, the function's right-hand limit is the value that approaches.a

10). The limit of f(z) = Arg z as z approaches Zo = 1 does not exist. This is because the argument function is not continuous at the point z = 1, where there is a branch cut.

11). The limit of f(z) = \((1 - lm z)^{-1}\) as z approaches z0 = -8 does not exist. This is because the function approaches infinity as z approaches -8 from the left, and negative infinity as z approaches -8 from the right.

However, if we consider the limit of f(z) as z approaches z0 = -8 + i from both the left and the right, the limit exists and is equal to 0. This is because in the complex plane, the value of Im z cannot exceed 1, so as z approaches -8 + i, the denominator (1 - Im z) approaches 0, and the function approaches infinity. However, the numerator approaches a finite value of 1, which cancels out the denominator, and the overall limit is equal to 0.

12). The limit of f(z) = (z - 2) log(z - 2) as z approaches z0 = 2 is 0. This is because the term (z - 2) approaches 0 as z approaches 2, and log(z - 2) approaches 0 as well because log(z - 2) is continuous at z = 2. Therefore, the limit is equal to 0.

13). The limit of f(z) = -1/z as z approaches z0 = 0 does not exist. This is because as z approaches 0, the magnitude of 1/z approaches infinity, but the direction of approach depends on which quadrant the limit is approached from. Since the limit does not approach a unique value from all directions, the limit does not exist.

14). The limit of f(z) = 2 + \(2^{1/z}\) as z approaches infinity does not exist. This is because as z approaches infinity, the term  \(2^{1/z}\) approaches 1, and the limit approaches 2 + 1 = 3. However, if we approach infinity along the real axis, the limit of \(2^{1/z}\) approaches 1, but if we approach infinity along the imaginary axis, the limit of \(2^{1/z}\) approaches infinity. Therefore, the limit of f(z) does not exist.

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Answer:

0.034

Step-by-step explanation:

the opposite of multiplication is division. 0.34 divided by 10 is 0.034. you can also figure this out by moving the decimal to the left once.

0.34 is 10 times greater than 0.034.

A decimal is represented by a dot or a point it separates the whole part and the fractional part of the given number.

According to the given data

0.34 is 10 times as great means we have to divide 0.34 by 10

which is

= (0.34/10)

= 0.034

∴ 0.34 is 10 times greater than 0.034.

We can also do this by simply moving the decimal to one left of the digit.

For example if given a.cb and we have been asked what number is 100 times greater than a.bc we can simply move the decimal to the right by 2 place then it will be abc.

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You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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Answer:

The 95% confidence interval for the difference between the mean yields for the two types of fertilizer is approximately 92.5536 pounds < \(\bar{x}_{1}- \bar{x}_{2}\) < 35.39 pounds

Step-by-step explanation:

The harvest from each plot treated with fertilizer A and fertilizer B are presented as follows;

Fertilizer A

445, 510, 464, 472, 441, 480, 403, 460, 448, 457, 437, 505, 417

Fertilizer B

398, 380, 368 393, 424, 387, 378, 415

The number of trials of fertilizer A, n₁ = 13

The number of trials of fertilizer B, n₂ = 8

The confidence level = 95%

α = 1 - 0.95 = 0.05

∴ α/2 = 0.025

The degrees of freedom, df = 8 - 1 = 7

\(t_{\alpha /2}\) = 2.365

From Microsoft Excel, we get;

The standard deviation of the pounds of harvested fruits for the plots treated with fertilizer A s₁ = 30.71603

The mean of the pounds of harvested fruits for the plots treated with fertilizer A, \(\overline x_1\) = 456.8462

The standard deviation of the pounds of harvested fruits for the plots treated with fertilizer B s = 18.99201

The mean of the pounds of harvested fruits for the plots treated with fertilizer B,  \(\overline x_2\) = 392.875

The 95% confidence interval, C.I. for the difference between the mean yields for the two types of fertilizer can be constructed with the following formula

\(C.I. = \left (\bar{x}_{1}- \bar{x}_{2} \right )\pm t_{\alpha /2} \cdot \sqrt{\dfrac{s_{1}^{2}}{n_{1}}+\dfrac{s_{2}^{2}}{n_{2}}}\)

By variable substitution, we get;

\(C.I. = \left (456.8462- 392.875 \right )\pm 2.635 \times \sqrt{\dfrac{30.71603^{2}}{13}+\dfrac{18.99201^{2}}{8}}\)

The 95% confidence interval for the difference between the mean yields for the two types of fertilizer \(C.I. \approx 63.9712 \pm28.5824\), which can be expressed as 92.5536 lbs. < \(\bar{x}_{1}- \bar{x}_{2}\) < 35.39 lbs.

Lavage Rapide's total cost per car washed is $19.05.

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

Fixed costs are expenses that do not change based on the number of units produced or sold. Variable costs, on the other hand, change with the level of production or sales. Here, the fixed costs are cleaning supplies, electricity, maintenance, wages and salaries, depreciation, rent, and administrative expenses.

The variable cost is the cost per car washed, which includes wages and salaries and administrative expenses.

To calculate the total cost per car washed, we need to add fixed costs to the variable cost per car. So, the total cost per car washed for Lavage Rapide would be:

Total Cost per Car Washed = Fixed Costs + Variable Cost per Car Washed

Total Cost per Car Washed =\(($0.80 + $1,400 + $0.20 + $4,700 + $8,000 + $2,100 + $1,400) + ($0.40 + $0.05)\)

Total Cost per Car Washed = $18,620 + $0.45

Total Cost per Car Washed = $19.05

Therefore, Lavage Rapide's total cost per car washed is $19.05.

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complete question:

Fixed Cost per Month Cost per Car Washed

Cleaning supplies $ 0.80

Electricity $ 1,400 $ 0.08

Maintenance $ 0.20

Wages and salaries $ 4,700 $ 0.40

Depreciation $ 8,000

Rent $ 2,100

Administrative expenses $ 1,400 $ 0.05

Answer:

Step-by-step explanation:

4y = -x + 8

y = -1/4x + 2

12y = -3x + 2

y = -1/4x + 1/6

parallel

The expression that can be used to find the number of liters in 15 quarts is 15 quarts/1 * 0.95 liters/1 quart

The volume is given as:

Volume = 15 quarts

In standard unit of conversion, we have:

1 quart = 0.95 liters

So, the equation becomes

Volume = 15 quarts/1 * 0.95 liters/1 quart

Hence, the expression that can be used to find the number of liters in 15 quarts is 15 quarts/1 * 0.95 liters/1 quart

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Answer:

The Volume Is 1 3/6

Step-by-step explanation

How know took the test got A 100 PLZ MAKE BRAINLIEST!!  

The amount of liquid that can be processed in 2 hours at a unit rate of 1 gallon per 18.25 minutes is calculated to be approximately 6.58 gallons.

What is unit rate?

A unit rate is the cost for only one of anything. This is expressed as a ratio with a denominator of 1. For instance, if you covered 70 yards in 10 seconds, you did so at an average speed of 7 yards per second. Although both of the ratios—70 yards in 10 seconds and 7 yards in one second—are rates, only the latter is a unit rate.

Assuming the unit rate of 1 gallon per 18.25 minutes, we can convert 2 hours to minutes by multiplying it by 60, which gives us 120 minutes.

So, in 120 minutes, the amount of liquid that can be processed at a unit rate of 1 gallon per 18.25 minutes would be:

(120 minutes) / (18.25 minutes/gallon) = 6.58 gallons

Therefore, the amount of liquid that can be processed in 2 hours at a unit rate of 1 gallon per 18.25 minutes is found out to be  approximately 6.58 gallons.

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The complete question is :

What is the amount of liquid that can be processed in 2 hours at a unit rate of 1 gallon per 18.25 minutes?

Answer:

i believe its 0.22222222222 im sorry if its incorrect qwq

Step-by-step explanation: