Find the length of the arc, s, intercepted by a central angle 0 in a circle of radius

r = 20 ft, 0 = 75°

Answer:

x=-5

Step-by-step explanation:Step 1: Simplify both sides of the equation.

8x−5(4x+3)−(3−2x)=4−4(2x−3)−(9−3x)

8x−5(4x+3)+−1(3−2x)=4−4(2x−3)+−1(9−3x)(Distribute the Negative Sign)

8x+−5(4x+3)+(−1)(3)+−1(−2x)=4+−4(2x−3)+(−1)(9)+−1(−3x)

8x+−5(4x+3)+−3+2x=4+−4(2x−3)+−9+3x

8x+(−5)(4x)+(−5)(3)+−3+2x=4+(−4)(2x)+(−4)(−3)+−9+3x(Distribute)

8x+−20x+−15+−3+2x=4+−8x+12+−9+3x

(8x+−20x+2x)+(−15+−3)=(−8x+3x)+(4+12+−9)(Combine Like Terms)

−10x+−18=−5x+7

−10x−18=−5x+7

Step 2: Add 5x to both sides.

−10x−18+5x=−5x+7+5x

−5x−18=7

Step 3: Add 18 to both sides.

−5x−18+18=7+18

−5x=25

Step 4: Divide both sides by -5.

−5x −5 = 25 −5

x=−5

The factor that does NOT control the stability of a slope is the angle of repose for intact bedrock. The angle of repose refers to the steepest angle at which a pile of loose material remains stable without sliding. It is mainly applicable to loose materials like soil and granular substances, not intact bedrock.

Bedrock stability depends on factors such as its strength, fracturing, and geological properties, rather than the angle of repose. Factors that control the stability of a slope include whether the slope is rock or soil. Rock slopes tend to be more stable than soil slopes due to the cohesive nature of intact rock.

The amount of water in the soil also affects slope stability, as excessive water can increase pore pressure and reduce the shear strength of the soil, leading to slope failure. Additionally, the orientation of fractures, cleavage, and bedding in the rock can influence slope stability by creating planes of weakness or strength.

To summarize, while the angle of repose is a significant factor in slope stability, it is not applicable to intact bedrock. The stability of a slope is influenced by the type of material (rock or soil), the presence of water, and the orientation of fractures and bedding.

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Answer:

the correct answer is above

Step-by-step explanation:

mark me as brainliest

The expected difference is 0.17

A supermarket is a self-service store with various food, drink, and household goods options divided into categories. While this type of store is bigger and has a wider variety of products than older grocery stores, it is smaller and offers a smaller selection of goods than a hypermarket or big-box market. Fresh meat, produce, dairy, deli foods, baked goods, etc. may usually be found in the store.

Additionally, shelf space is set aside for canned and packaged goods as well as a variety of non-food items like pet supplies, cleaning supplies, cookware, and household cleansers.

The table is: 0 1 2 3

x1 0 0.08 0.06 0.04 0.00

1 0.05 0.18 0.05 0.03

2 0.05 0.04 0.10 0.06

3 0.00 0.03 0.04 0.07

4 0.00 0.01 0.05 0.06

Expected difference =

+(0.08*(0-0)) +(0.06*(0-1)) +(0.04*(0-2)) +(0.00*(0-3)) +(0.05*(1-0)) +(0.18*(1-1)) +(0.05*(1-2)) +(0.03*(1-3)) +(0.05*(2-0)) +(0.04*(2-1)) +(0.10*(2-2)) +(0.06*(2-3)) +(0.00*(3-0)) +(0.03*(3-1)) +(0.04*(3-2)) +(0.07*(3-3)) +(0.00*(4-0)) +(0.01*(4-1)) +(0.05*(4-2)) +(0.06*(4-3))

= 0.17

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Answer:

3

Step-by-step explanation:

That's the distance per minute

Two steps that will complete the list correctly are:

4. The original measurement should be multiplied by the conversion factors.

5. Verify that it makes sense.

A conversion factor can be used to switch from one set of units to another by multiplying or dividing a number. When a conversion is necessary, the appropriate conversion factor to an equivalent value must be applied.

Let's use an example of converting from inches to centimeters to address this query.

10 inches should be converted to cm.

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The numbers that end in 5 are divisible are 5, and the probability of choosing those numbers is \(\frac{1}{3}\)

As per the given data the integers are 1, 3, 5

The three digit numbers are 135, 153, 351, 315, 513, 531.

Total possible outcomes are 6.

A number is divisible by 5 only if the units digit is 0 or 5

The integers is divisible by 5 are 135 and 315.

Number of favorable outcomes are 2.

The numbers that end in 5 are divisible are 5, and the probability of choosing those numbers is \(\frac{2}{6}\)

\(=\frac{1}{3}\)

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Answer:

17

Step-by-step explanation:

Answer:

I can help with number 7 if you want

1. Equation

y=15x + 10

This is the answer because 10 intercepts on the y axis and it says $15 dollars each.

2. -2 so you do y-y and x-x. In this case its 4-2 and 2-3 which equals 2 and -1 . Which  divided equals -2.

Sorry I can't figure out the rest but I did do these ones.

Answer:

B.35.50

Step-by-step explanation:

Answer:

≈ 197 students

Step-by-step explanation:

Let's start by writing what we know.

150 students sampled

68 prefer soccer

59 prefer basketball

23 prefer swimming

Part A

If 59 students prefer basketball out of the 150 students sampled then we divide 59/150 in order to get the percentage of students that prefer basketball.

59/150 ≈ 39.33%       Remember this is only a sample of the students so it is approximate.

Now that we have the percentage, we can multiply it by the entire student body to get an approximate number of all students that prefer basketball.

39.33% = .3933

.3933 * 500 = 196.66  ≈ 197 students   (because we can't have a partial student we round up)

The best approximation of the number of students in the school who prefer basketball is 197.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

The results from a random sample of 150 students' after-school activities at a school are shown.

68 students prefer soccer. 59 students prefer basketball. 23 students prefer swimming.

The percentage of students who prefer soccer will be

\(\rightarrow \dfrac{68}{150} = \dfrac{34}{75}\)

The percentage of students who prefer basketball will be

\(\rightarrow \dfrac{59}{150}\)

The percentage of students who prefer swimming will be

\(\rightarrow \dfrac{23}{150}\)

If there are a total of 500 students in the school. Then the best approximation for how many students in the school prefer basketball will be

\(\rightarrow \dfrac{59}{150} \times 500 = 196.667 \approx 197\)

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Answer:

71.4 degrees Celsius or 183.4 degrees Fahrenheit.

Step-by-step explanation:

The boiling point of water is 100 degrees Celsius.

I assume you mean the liquid's temperature is 28.60 degrees Celsius lower than the boiling point of water, so 100 - 28.6 = 71.4.

Therefore the liquid is 71.4 celsius.

If you wanted the temperature in Fahrenheit, the answer is 212 - 28.6 = 183.4 degrees Fahrenheit.

Answer is 66.

I hope it will help you:)

Answer:

= 66

Step-by-step explanation:

The two integers are -22 and -24, because they are both even and consecutive, and adding them equals -46.

-24 divided by 4 is -6, and -22 plus 11 is -11

Now all we have to do is find the product (multiply  -11 and -6)

And this gives us the answer: 66

The area of triangle OPQ is 44 square units.

How to find the area of tringle?

There are different ways to find the area of a triangle, depending on the information given. Here are a few common methods:

There are different methods to find the area of a triangle, but one common method is to use the coordinates of its vertices and the distance formula. The distance formula is

d = √((x2-x1)^2 + (y2-y1)^2)

We can use the distance formula to find the lengths of the sides of the triangle OPQ, which are:

OP = √((8-3)^2 + (3-4)^2) = √((5)^2 + (-1)^2) = √(25+1) = √26

OQ = √((4-3)^2 + (8-4)^2) = √((1)^2 + (4)^2) = √(1+16) = √17

PQ = √((4-8)^2 + (8-3)^2) = √((-4)^2 + (5)^2) = √(16+25) = √41

Once we have the lengths of the sides of the triangle, we can use the Heron's formula to find its area:

s = (OP + OQ + PQ)/2

Area = √(s(s-OP)(s-OQ)(s-PQ))

s = (√26 + √17 + √41)/2 = (√44)/2 = 4√11

Area = √(4√11(4√11-√26)(4√11-√17)(4√11-√41))

Area = √(4√11 * √(44-26) * √(44-17) * √(44-41))

Area = √(4√11 * √18 * √27 * √3)

Area = √(4√11 * 3√2 * 3√3 * √3)

Area = 4*11 = 44 square units

Hence, the area of triangle OPQ is 44 square units.

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Part a) The final image formed by the second lens will be located on the opposite side of the lens as the object.

To determine the image distance from the second lens, we can use the lens formula:

1/f = 1/v - 1/u,

where f is the focal length of the lens, v is the image distance, and u is the object distance. Given that the object distance is 35.0 cm and the focal length of the lens is 22.0 cm, we can substitute these values into the lens formula to solve for v. The lens formula can be rearranged to:

v = 1/(1/f + 1/u).

Substituting the values, we have:

v = 1/(1/22 + 1/35) = 1/(0.0455 + 0.0286) ≈ 1/0.0741 ≈ 13.5 cm.

Therefore, the image distance from the second lens is approximately 13.5 cm.

Part b) The total magnification of the system is given by the product of the individual magnifications of each lens. The magnification of a lens can be calculated using the formula:

magnification = -v/u,

where v is the image distance and u is the object distance. For the first lens, the object distance is 35.0 cm and the image distance is the distance between the lenses, which is 16.5 cm. Therefore, the magnification of the first lens is:

magnification_1 = -16.5/35.0.

For the second lens, the object distance is the distance between the lenses, which is 16.5 cm, and the image distance is 13.5 cm (as calculated in part a). Therefore, the magnification of the second lens is:

magnification_2 = -13.5/16.5.

The total magnification is the product of these two magnifications:

total magnification = magnification_1 * magnification_2.

Substituting the values, we have:

total magnification = (-16.5/35.0) * (-13.5/16.5) ≈ 0.706.

Therefore, the total magnification is approximately 0.706.

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The answer is: \(\[2x+3y=10\)\]represents y as a function of x.

For a relationship to represent y as a function of x, there should be only one y-value for every x-value.

The relation\(\[x^{2}+y^{2}=25\)]does not represent y as a function of x.

In this case, if we solve for y, we get,\(\[y=\pm\sqrt{25-x^{2}}\]\)

So, for every x value, there are two y values.

Thus, this relationship does not represent y as a function of x.

We can rewrite the relationship\(\[2 x+3 y=10\\)]as follows:

\\([3 y=10-2 x\]or [y=\frac{10-2 x}{3}\]\)

Hence, this relationship represents y as a function of x.

Finally, we can rewrite the relationship\(\[x=y^{2}-25\\)]as follows:

\(\[y=\pm\sqrt{x+25}\)\]

Again, for every x value, there are two y values.

Hence, this relationship does not represent y as a function of x.

Thus, the answer is:

\(\[2x+3y=10\)\]represents y as a function of x.

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The two equations would be 1.5x + 2.5y = 30, 3x + 1.5y = 40, when we add both the equations we get, 4.5x + 4y = 70, and the value of x is 10.

To solve a system of linear equations in two variables using the substitution in two variables using the substitution method. First solve one of the equations for one variable. Substitute this in the other equation in terms of a single variable. Then solve it for the variable. Now, substitute it in any of the equations to get the value of another variable.

Given:

Add the two equations together:

1.5x + 2.5y = 30

3x + 1.5y = 40

(1.5x + 3x) + (2.5y + 1.5y) = (30 + 40)

4.5x + 4y = 70

Isolate the x-variable by subtracting 4y from both sides of the equation:

4.5x + 4y = 70

4.5x + 4y - 4y = 70 - 4y

4.5x = 70 - 4y

Divide both sides of the equation by 4.5 to solve for x:

4.5x = 70 - 4y

4.5x/ 4.5 = (70 - 4y)/4.5

x = (70 - 4y) / 4.5

Substitute the value of y from the first equation:

1.5x + 2.5y = 30

2.5y = 30 - 1.5x

y = (30 - 1.5x) / 2.5

Substitute the value of y into the equation for x and solve:

x = (70 - 4y) / 4.5

x = (70 - 4((30 - 1.5x) / 2.5)) / 4.5

x = 10

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Answer:

66 (C)

Step-by-step explanation:

For the starting figure, you know that each block has a width of 10, and a height of 5 cm. If you are calculating the perimeter, then the only parts of the figure that matter are the outsides.

When we add a layer, we replace the perimeter along the bottom (with an equal length, so the perimeter is not changing along the base).

But we also add the length of added rectangles to the sides, and that is not replacing the perimeter already on the previous layer--it is increasing the perimeter by 10 cm (5 cm on both sides).

So, if we want to find the perimeter of figure 1, we can calculate the top (10 cm + 10 cm on top, 5 cm + 5 cm for the sides of the block on top, 5cm + 5 cm for the outsides of the lower layer, 10cm + 10cm for the bottom base) (60cm is the perimeter).

Each layer we add it adding 10cm. So, the perimeter of figure 2 is 60 + 10, or 70cm.

To find how many layers we have added to the figure n, we should first subtract the original 60 cm, so that we can find how much we have added. 710 - 60 = 650.

So, we have added 650 cm to the perimeter of our figure. We know that we are adding 10 cm at a time, so to find how many times we have had to add a layer, we need to divide 650 / 10 , to get 65. We have added a layer 65 times.

The first layer is +0 times, the second is +1, the third is +2, so the +65 is going to be the 66th layer, making the answer 66.

10 cubic centimeters of a 60% alcohol solution, would mean 10 x 60% = 6 cc is alcohol the other 4 cc is water.

To make a 90% solution, the water would be 10% of the solution.

If 4 cc is 10%, the total is 40 cc.

40 - 10 = 30 cc

30 cubic centimeters needs to be added.

Answer:

b

Step-by-step explanation:

Like terms are m, n², 1, so on so the answer is B.

Step-by-step explanation:

I also think that the answer should be B

The explanatory variables and response variables for this relationship are;

b. Explanatory variable: high school GPA

   Response variable: college GPA

What are explanatory variables?

When it comes to an experiment, a researcher-manipulated variable is an explanatory variable. It acts as a gauge of the transformation the response variable underwent.

Explanatory variables are frequently referred to as predictor variables or independent variables. A response variable is the variable that a researcher is asking a specific question about.

Numerous variables, referred to as explanatory variables, might have an impact on the response variable.

Therefore, the correct option is b, Explanatory variable: high school GPA, Response variable: college GPA.

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Complete question:

College administrators at a small, private college

noticed that students who had higher high school

GPAs tend to have higher college GPAs.

What are the explanatory variable and response

variable for this

relationship?

Explanatory variable: size of college

Response variable: college GPA

Explanatory variable: high school GPA

Response variable: college GPA

Explanatory variable: college GPA

Response variable: high school GPA

Explanatory variable: type of college (public)

Response variable: college GPA

Answer:

The Father is currently 47 and the Son is 7

Step-by-step explanation:

Let F and S be the present ages of Father and Son, respectively.

We are told that (F-2) = 9(S-2) [2 years ago, father age was nine times the son age]

We also learn that (F+3) = 5(S+3)  [3 years later it will be 5 times only]

Take the first expression and isolate one of the variables (S or F).  I'll isolate F:

(F-2) = 9(S-2)

F = 9S - 16

Now use this in the second expression:

(F+3) = 5(S+3)

((9S-16)+3) = 5(S+3)

9S-13 = 5S+15

4S = 28

S = 7

Since F = 9S-16,

F = 9*(7)-16

F = 47

Father is 47 and Son is 7

CHECK:

Was the father 9 times the age of his son 2 years ago?

Father would have been 45 and son 5.  Yes, 9*5 = 45

In 3 years will he be 5 times older than his son?  Yes, Father would be 50 and son would be 10.  5*(10) = 50

Step-by-step explanation:

144 degree is right answer.

Answer:

144°

Step-by-step explanation:

The central angle is 360°. Since it has 5 divisions, the angle of each division is 72°.

From B to D, it requires 2 rotations.

After considering the given data we conclude that there truth table is possible and is placed in the given figures concerning every sub question.

A truth table is a overview that projects  the truth-value of one or more compound propositions for each possible combination of truth-values of the propositions starting up the compound ones.
Every row of the table represents a possible combination of truth-values for the component propositions of the compound, and the count of rows is described by the range of possible combinations.
For instance, if the compound has just two component propositions, it comprises  four possibilities and then four rows to the table. The truth-value of the compound is projected on each row comprising the truth functional operator.
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Answer:

t=9.40865\approx 9.4 \text{ years}

t=9.40865≈9.4 years

Step-by-step explanation:

Answer:

$16.20

Step-by-step explanation:

24.00 × 25%= 6.00

24.00 - 6.00 = 18.00

18.00 × 10%=1.80

18.00 - 1.80 = 16.20

A percentage is a way to describe a part of a whole. The final cost of the book will be $16.2.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given the cost of the book is $24. Therefore, the cost of the book after a 25% discount is,

Cost of book after discount = $24×(100%-25%) = $18

Now, the cost after the 10% counpon will be,

Cost after the 10% counpon = $18×(100%-10%) = $16.2

Hence, the final cost of the book will be $16.2.

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To do content analysis on the characteristics people seek in a partner by examining the personals section of three newspapers the unit of analysis will be objective of the section.

Given that we are interested in doing content analysis on the characteristis people seek in a partner by examining the personals section of three newspaper.

Content analysis is basically a research tool used to determine the presence of certain words, themes,or concepts within some given qualitative data. Using content analysis, a researchers can quantify and analye the presence meanings and relationships of such certain words, themes and concepts.

When we are required to do content analysis by examining the personals section of three newspapers, its units can be objective of section. Some part is related to matrimonials, some are for rent,etc.and some are for commercial advertisements.

Hence the unit of analysis is objective of the section.

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Replace each of the values of x from the table into the given equation to find the corresponding values of y.

The rule for y in terms of x is:

For x=-5:

For x=-1:

For x=0:

For x=1:

For x=1/6:

Therefore, the table with the corresponding values of y must be:

x y

-5 -33

-1 -9

0 -3

1 3

1/6 -2

Answer:

LCM of 6 and 9: 18