A cone has a height of 6 inches and a diameter of 10 inches. What is its volume?

Use ​ ≈ 3.14 and round your answer to the nearest hundredth

The probability that a randomly selected person in the neighborhood does not take walks but has a dog is 7/26.

Probability refers to the chance or likelihood that an expected outcome occurs when there are many possible chances of other outcomes.

Probability is the ratio or quotient obtained by dividing the expected outcome by the number of occurrences.

Probability can be expressed as a fraction, decimal, or percentage when it is not 100% certain or uncertain.

The total number of dog owners in the neighborhood = 78

The number of dog owners in the neighborhood who walks their dogs = 57

The number of dog owners in the neighborhood who do not walk their dogs = 21

The probability of randomly selecting a person who does not take walks but has a dog = 21/78 = 26.9% (21/78 x 100)

21/78 = 7/26

Thus, in fraction, the probability that a randomly selected person in the neighborhood has a dog but does not take walks is 7/26.

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Answer:

21/100

Step-by-step explanation:

just took the test

Answer: x = 9500

Step-by-step explanation:

Ok, so we know the bank loaned part of the $17,500 at a 4% interest rate.  Lets call this loan amount x.  Then the rest of the 17,500 was loaned at a 9% interest rate.  Whatever this amount was, we can define it as 17,500 - x.  We also know that the total interest earned was $1,100.  With this information, we can form the following equation:

.04(x) + .09(17500 - x) = 1100

Multiply the .09 times the inside of the parentheses:

.04x + 1575 - .09x = 1100

Simplify:

-.05x + 1575 = 1100

-.05x = -475

x = 9500

Since x is originally the amount loaned at the 4% interest rate, we know that $9,500 was loaned at a 4% interest rate.

To figure out the other amount loaned at 9%, simply subtract 9,500 from 17,500 -- this gets us 8,000.  So $8,000 was loaned at a 9% interest rate.

The y intercept of the linear equation is 4

The y intercept is identified by first finding the equation of the line and substituting x = 0 in to the equation

The slope, m of the linear function is calculated using the points (-2, 5) and  (8, 0)

m = (y₀ - y₁) / (x₀ - x₁)

m = (5 - 0) / (-2 - 8)

m = (5) / (-10)

m = -1/2

equation passing through point (8, 0)

(y - y₁) = m (x - x₁)

y - 0 = -1/2 (x - 8)

y = -1/2 x + 4

the y intercept is calculated at x = 0

y = -1/2 x + 4

y = -1/2 (0) + 4

y = 4

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Given that f(x) = 3(1.04)* denotes an exponential growth function and that the growth factor is bigger than 1, exponential growth is assumed. Growth is exponential and is occurring at a 4% annual growth rate.

The exponential growth function and exponential decay are the two different kinds of exponential functions. The exponential growth function is represented by the equation f (x) = bx when b > 1. When 0 b 1, the exponential decay function, f (x) = bx, is what is being represented.

Continuous growth is tracked throughout time via exponential functions. Bacterial development, compound interest, and radioactive decay are some typical examples from the real world. The exponential decay function is represented by the equation f (x) = a (1 r) x, where is the initial value and is the rate of decay.Using a percentage, the decay rate is described.Just reduce the % and divide it by 100 to get it into decimal form.The decay factor, b = 1-r, can then be determined. If the rate of deterioration is 25% .

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Answer:

x is 40.

Step-by-step explanation:

The triangle with all sides equal is an equilateral triangle, one you shouldn't be bothered about. This is because the angle of 100 has already been given. If you look at the diagram closely, you can see that the triangle in which angle x is present is an isosceles triangle. Since the top angle is already given, there is a formula to calculate the bottom angle, i.e., x.

The formula is : (180- the top angle, in this case 100) / 2

Hope you fully understood my answer ! If you didn't, that's fine, you can search on any website. You can find way better explanations there.

Answer:

b = 8

Step-by-step explanation:

I think that you meant

-56 = -3b -32  Add 32 to both sides

-56 + 32 = -3b - 32 + 32

-24 = -3b  Divide both sides by -3

[tex]\frac{-24}{-3}[/tex] = [tex]\frac{-3b}{-3}[/tex]

8 = b

Answer:

b = 8

Step-by-step explanation:

Given equation,

→ -56 = -3b - 32

Now the value of b will be,

→ -3b - 32 = -56

→ -3b = -56 + 32

→ -3b = -24

→ b = -24/-3

→ b = 24/3

→ [ b = 8 ]

Hence, the value of b is 8.

A linear graph represents a proportional relationship include the following: C. A graph of a straight line that passes through the points 0 comma negative 4 and 1 comma negative 4.

In Mathematics, a graph can be defined as a type of chart that is typically used to graphically represent data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate respectively.

Generally speaking, the graph of any proportional relationship is always characterized by a straight line with the data points starting from the origin (0, 0) and passes through other unique data points on the cartesian coordinate.

In this scenario, a graph of a straight line that passes through the data points (0, -4) and (1, -4) represents a proportional relationship because it would go through the origin (0, 0).

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A linear graph represents a proportional relationship include the following: C. A graph of a straight line that passes through the points 0 comma negative 4 and 1 comma negative 4.

What is a graph?

In Mathematics, a graph can be defined as a type of chart that is typically used to graphically represent data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate respectively.

Generally speaking, the graph of any proportional relationship is always characterized by a straight line with the data points starting from the origin (0, 0) and passes through other unique data points on the cartesian coordinate.

In this scenario, a graph of a straight line that passes through the data points (0, -4) and (1, -4) represents a proportional relationship because it would go through the origin (0, 0).

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Answer:

You need 130ft² of net to cover the surface area of the rectangular prism.

Step-by-step explanation:

1. find smallest sides surface:

S1=ab

S1=5*1=5ft²

There are two sides so 2*5=10ft²

2. find middle sized sides surface:

S2=cb

S2=10*1=10ft²

There are two sides so 2*10=20ft²

3. find biggest sides surface:

S3=ca

S3=5*10=50ft²

There are two sides so 2*50=100ft²

4. Sum up all the sides:

S=2ab+2cb+2ac

S=10+20+100=130ft²

Answer:r:

Surface Area: 130ft

Step-by-Step explanation:

Width: 5  ft

Height: 1  ft

Length: 10  ft

Formula: 2(wl+hl+hw)

2(1·10+5·10+5·1)=130

Answer:

what triangle

Step-by-step explanation:

Santa ran [tex]2\frac{1}{8}[/tex] miles on Friday to meet his goal of 20 miles a week.

A fraction is a part of a whole. The number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

The expression will be;

[tex]4\frac{1}{2} + 3\frac{7}{8} + 5\frac{1}{4} + 0 + x + 4\frac{1}{4} = 20[/tex]

[tex]\frac{9}{2} + \frac{31}{8} + \frac{21}{4} + 0 + x + \frac{17}{4} = 20[/tex]

Multiplying through by 8

36 + 31 + 42 + 8x + 34 = 120

143 + 8x = 160

8x = 160 - 143

8x = 17

x = 17/8

x = [tex]2\frac{1}{8}[/tex] miles

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The probability that a randomly selected student plays a sport, given that the student is a senior will be 0.08. Then the correct option is A.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

At a secondary school, the likelihood that an understudy is a senior is 0.25. The likelihood that an understudy plays a game is 0.20. The likelihood that an understudy is a senior and plays a game is 0.08.

The probability that a randomly selected student plays a sport, given that the student is a senior will be 0.08. Then the correct option is A.

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The statement which is true is that: B. the y-value of Function A when x = -4 is less than the y-value of Function B when x = -4.

First of all, we would determine a linear equation that represents Function B by determining its slope using the point-slope form as follows;

y - y₁ = m(x - x₁)

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Substituting the given parameters into the point-slope formula, we have the following;

y - 11 = (23 - 11)/(9 - 3)(x - 3)

y - 11 = 12/6(x - 3)

y - 11 = 2(x - 3)

y - 11 = 2x - 6

y = 2x - 6 + 11

y = 2x + 5

Next, we would evaluate both Function A and Function B as follows:

y = x - 4

y = -4 - 4

y = -8.

y = 2x + 5

y = 2(-4) + 5

y = -8 + 5

y = -3.

Therefore, the output value (y-value or range) of Function A is lesser than that Function B.

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Answer: y = -√(x + 5) + 2.

y = -√x

Shifting these 2 units up produces the equation:

y = -√x + 2

Moving it 5 units to the left gives:

y = -√(x + 5) + 2.

Step-by-step explanation:

Answer:

  D.  y = 2 1/16

Step-by-step explanation:

You want to know the value of f(x) when x = 1/4 and f(x) = x²+2.

The domain of a function is the set of values for which it is defined. The given function f(x) is defined for all values of x. However, the problem statement tells you the only domain value of interest is x = 1/4.

The range is the set of function values corresponding to the domain values. Here, the only range value of interest is the value of f(1/4).

Put the value of the variable where the variable is in the function definition and do the arithmetic.

  y = f(1/4) = (1/4)² +2 = 1/16 +2

  y = 2 1/16

__

Additional comment

A calculator can help you evaluate an expression.

Answer: D

Step-by-step explanation:

The probability P(not purple) is (a) 64%

From the question, we have the following parameters that can be used in our computation:

2 red, 4 green, 10 yellow, and 9 purple marbles.

This means that

P(not purple) = (not purple)/Total

Substitute the known values in the above equation, so, we have the following representation

P(not purple) = (2 + 4 + 10)/(2 + 4 + 10 + 9)

Evaluate

P(not purple) = 64%

Hence, the probability is 64%

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C. I'm not sure.....

F60.

246 in hexadecimal is F6. When multiplied by 10, the result is F60.

Answer:

I = $ 11.00

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 11%/100 = 0.11 per year,

then, solving our equation

I = 100 × 0.11 × 1 = 11

I = $ 11.00

The simple interest accumulated

on a principal of $ 100.00

at a rate of 11% per year

for 1 years is $ 11.00.

$22

Using the initial loan amount, interest rate, and term we can find the amount of simple interest paid.

Simple Interest

First, let's define simple interest. Simple interest is the simplest to calculate.  Simple interest is calculated based on the initial loan, aka the principle (P). Compound interest, on the other hand, is calculated based on the principle and any accumulated interest.

Solving for Interest

We are given every value we need, so we can just plug them into the given formula. The principle is the initial $100 loan, so P = 100. The interest rate is 11%, but for the formula, we should use this in decimal form. This way r = 0.11. Then, we are told the total time is 2 years, so t = 2.

The economy size of spray fixative contains 2.70 ounces.

For the stated question-

Thus,

Convert mixed number in improper fraction:

6 2/3 = 20/3

and, 1 2/5 = 7/5

Now, the number of ounces =  20/3 / 7/5

number of ounces =  20*5 /3*7

                               =  100/37

                               =  2.70

number of ounces =  2.70

Thus, the economy size contains 2.70 ounces.

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Answer:

d = 45

Step-by-step explanation:

It is stated that ECA and DBA are similar triangles.

To find the distance across the lake we can use the similarity ratio:

CE/BD = CA/BA

[tex] \frac{d}{30} = \frac{435}{290} [/tex]

290d = 13050

d = 45

The picture is enough to prove the triangles congruent with the pattern

Congruency simply means equivalent.  So two triangles are equivalent in the following conditions

The two triangles are ΔIJH and ΔKHJ

ΔIJH has two given sides with an included angle

Also, ΔKHJ has two given sides with an included angles

This is to say that the two triangles have SAS each

In conclusion, the two triangles are congruent

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On solving the provided question, we can say that Area of the triangle is = 1/2 X B X H = 1/2 X 10 X 25 = 125sq units

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

here,

in triangle ABC and CDE

base = 25

height = 10

Area of the triangle is = 1/2 X B X H = 1/2 X 10 X 25 = 125sq units

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The simplified expression would be [tex]\frac{1}{x^2y^4}[/tex].

What is an expression?

In mathematics, an expression is a combination of numbers, variables, and operators. Expressions can be simplified, evaluated or manipulated to solve problems or explore mathematical concepts. Expressions can be represented using algebraic notation, where variables are represented by letters and numbers, and operators are represented by symbols such as +, -, *, and /.

For example, 2x+3, 5y-7z, and 7+2x+3y/4 are all examples of expressions.

[tex]\frac{x^{-2}}{y^4}[/tex] can be simplified as [tex]x^{-2} * y^{-4}[/tex].

Then the resulting expression is

[tex]=x^{-2} * y^{-4} \\\\= \frac{1}{x^2} * \frac{1}{y^4} \\\\= \frac{1}{x^2y^4}[/tex]

Hence, the simplified expression would be [tex]\frac{1}{x^2y^4}[/tex].

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Answer:

yes

Step-by-step explanation:

yes, I have taken a picture of a problem/question and had it answered

Answer:

1/4 is the slope of the line that passes through these points

Step-by-step explanation:

120 - 80 = 40
30 - 20 = 10
10/40
10/40 as a fraction simplified is 1/4 so y = 1/4x

Answer:

M=49

Step-by-step explanation:

Complementary angles are angles that add up to 90 degrees

Angle M is 49 degrees

The equation of the straight line joining A to B and the equation of the straight line joining B to C is  y = 1/2x +3

a ) The point A = [tex](x_1, y_1)[/tex] = (-8, -1)

   The point  B = [tex](x_2, y_2)[/tex]  = (-4, 1)

           [tex]m =\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\\\m=\frac{2}{4} \\\\m= \frac{1}{2}[/tex]

        y = mx +b  --- (1)

       -1 = 1/2 (-8) +b

        b = 4- 1

        b = 3

        So, the y- intercept  , b is 3.

        y = 1/2x +3

The equation of the straight line joining A to B is  y = 1/2x +3

b) The point B = [tex](x_1, y_1)[/tex] = (-4, 1)

   The point  C = [tex](x_2, y_2)[/tex]  = (12, 9)

           [tex]m =\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\\\m=\frac{8}{16} \\\\m= \frac{1}{2}[/tex]

        y = mx +b  --- (1)

        1 = 1/2 (-4) +b

        b = 2 + 1

        b = 3

        So, the y- intercept , b is 3.

        y = 1/2x +3

The equation of the straight line joining B to C is  y = 1/2x +3

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The z-score, also known as the standard score, tells us how many standard deviations an individual data point is from the mean of the data set.

What is an illustration of statistics ?

A statistic is a numerical expression of a sample characteristic. The average amount of points obtained by students in one math class at the conclusion of the term, for instance, is an example of a statistic if we see that class as a sample of the population of all math classes.

For Class 1, where the mean is 70 and the standard deviation is 10, the z-score for your midterm score of X = 70 is (70-70)/10 = 0. This means that your score is exactly at the mean and the same as other students in the class.

For Class 2, where the mean is 50 and the standard deviation is 20, the z-score for your midterm score of X = 70 is (70-50)/20 = 1. This means that your score is one standard deviation above the mean and better than most of the students in the class.

For Class 3, where the mean is 80 and the standard deviation is 5, the z-score for your midterm score of X = 70 is (70-80)/5 = -2. This means that your score is two standard deviations below the mean and worse than most of the students in the class.

For Class 4, where the mean is 80 and the standard deviation is 20, the z-score for your midterm score of X = 70 is (70-80)/20 = -0.5. This means that your score is half a standard deviation below the mean and worse than some of the students in the class but better than others.

Overall, from the z-scores, in class 1 and class 4, you have scored at the mean, in class 2 you have scored better than most of the students in the class and in class 3 you have scored worse than most of the students in the class.

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Answer:

Step-by-step explanation:

To find the measure of angle B in the triangle, we can use the fact that the measures of the angles in a triangle always add up to 180 degrees.

We know that the measure of angle A is 112 degrees and the measure of angle C is 40 degrees, so we can set up the following equation:

A + B + C = 180

Plugging in the known values, we get:

112 + B + 40 = 180

Solving for B, we find that the measure of angle B is 28 degrees.

Therefore, the missing angle of the triangle is 28 degrees.