In AUVW, UW is extended through point W to point X, mZUVW = (3x + 16)°, mZWUV = (2x + 8), and mZVWX= (8x - 18). Find mZWUV.

Answer: √x−2,−√x−2

Step-by-step explanation:

The height of the water increasing at a rate of 0.05 m/min

The Volume of a cylinder is

[tex]V = \pi r^{2}h[/tex]

where r is the radius and h is the height of the cylinder.

Given that the radius r of cylinder is 5m and the water is filled at the rate of 4 [tex]m^{3} /min[/tex]

[tex]V = 25\pi h[/tex]             ...(1)

Now, differentiating (1) with respect to time t,

[tex]\frac{dV}{dt} = 25\pi \frac{dh}{dt}[/tex]

Substituting the value of    [tex]\frac{dV}{dt}[/tex]

4 = [tex]25\pi \frac{dh}{dt}[/tex]

[tex]\frac{dh}{dt}[/tex] = [tex]\frac{4}{25\pi }[/tex]

[tex]\frac{dh}{dt}[/tex] = 0.05 m/min

Hence, the water is increasing at the rate of 0.05 m/min

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Answer:

-1, 1, and 2

Step-by-step explanation:

[tex]x^3 - 2x^2 - x+2=0 \\ \\ x^2(x-2)-(x-2)=0 \\ \\ (x^2-1)(x-2)=0 \\ \\ (x-1)(x+1)(x-2)=0 \\ \\ x=-1, 1, 2[/tex]

The vertex and range of this absolute value function is: Vertex (0, 4), Range: {y | 0 ≤ y < ∞}.

An absolute value function can be defined as a type of function that consist of an algebraic expression, which is placed within absolute value symbols.

Mathematically, the standard form of the equation for an absolute value function is given by:

y = a|x - h| +k.

Where:

h and k are the vertex of the graph.

Furthermore, an absolute value function is defined by this piecewise rule, especially based on its input:

In conclusion, the vertex or turning point of this absolute value function in the table above is at (0, 4).

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Answer:

Vertex (0, 4), Range: {y | 0 ≤ y < ∞}.

Step-by-step explanation:

The factors of the expression 3xy/4 are 3/4, -1, x and y.

According to the question,

We have the following expression:

3xy/4

Now, we know that when we say factors of an expression then it means that we are talking about numbers or variables which can divide the given expression.

(For example, the factors of 24xy are 24 and the factors of 24 which are 1,2,4,6 including the two variables x and y.)

So, in this case, we will separate each number and variable to find the factors of the given expression:

3/4, x and y and -1

Hence, the factors of the expression 3xy/4 are 3/4, -1, x and y.

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The ratio of boxes to the circles is 7: 10

Tickets were sold for a program at a college .It cost $4 for general admission or $3 with a student ID.

Let

number of people that used student ID = x

number of people that used the general admission cost = y

108 used the student ID ticket while 73 used the general admission ticket .

The proportion of the generated values that fall inside the range of each histogram bar is used to compute the vertical scale. The standard deviation is an indicator of how much the values in the data set typically deviate from the mean.

It always displays the median and the middle 50% of the data. For data displayed in histograms, a similar spread measurement is helpful. The term for it is the standard deviation. The standard deviation is an indicator of how much the values in the data set typically deviate from the mean.

The proportion of the generated values that fall inside the range of each histogram bar is used to compute the vertical scale. The sum of the bar heights is therefore one. Only discrete variables (right), where the histogram heights now total to unity, are suitable for relative frequency analysis.

A measurement of how far points deviate from the mean is the standard deviation. The first histogram includes fewer points that are close to the mean and more points that are distant from the mean (scores of 0, 1, 9, and 10). (scores of 4, 5 and 6). As a result, its standard deviation will be higher.

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Given:

Cone with diameter of 14 ft, and height of 4 ft.

First, determine the radius of the cone, by dividing the diameter by 2.

Now that we have the radius, substitute π = 3, r = 7 ft, and h = 4 ft to the formula of the volume of the cone.

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

This problem comes straight from a standardized test given in New York in 2014.

Given

The graph

we have 60 balloons

black balloons are =4/12*60

and that is =20 black balloons

red balloons= 3/12*60=5*3=15

the rest are white

white balloons= 60- 20 black-15 red=25 white balloons

Given:

The amount of vinegar that melody used for a recipe can be written as a whole number.

So, we will check the options to find which one represents a whole number

The whole number does not contain numbers after the decimal point and also the denominator will be 1

So, the answer is option D) 12/3 = 4

Naomi bought 4 puzzles and she spend total $21.91

The Latin word "per centum," which means "by the hundred," is where the word "percentage" originally came from. With 100 as the denominator, percentages are fractions. To put it another way, it's the relationship between a component and a whole in which the value of the whole is always assumed to be 100.

Given that : A toy store is having a sale on puzzles. For each puzzle, Naomi buys she gets 75% off of a second puzzle. The original price of each puzzle is $16.50. Naomi bought 4 puzzles

Naomi first puzzle price is $16.50

she get 75% off on as second puzzle

=[tex]16.50(\frac{75}{100} )[/tex]

=12.375

=16.50 - 12.375

= 4.125

So , second puzzle price is 4.124

=[tex]4.125(\frac{75}{100} )[/tex]

=3.09

= 4.125 - 3.09

=1.03

So , third puzzle price is 1.03

=[tex]1.03(\frac{75}{100} )[/tex]

=0.7725

=0.2575

So ,fourth puzzle price is 16.50+4.124+1.03+ 0.2575

=21.91

Total naomi spend 0.2575

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Tina has two bags of counters. Bag A has 5 red and 3 blue. Bag B has 4 red and 5 blue. The probability that tina takes two blue counters in fraction is 15/72

Given parameters:

Bag A= 5 red + 3 blue

Bag B = 4 red + 5 blue

Hence,

Total counters in bag A = 5 +3 = 8

Total counters in bag B = 4 + 5 = 9

Now let determine the probability that she takes two blue counters

Probability =  3 /8 × 5 /9

Probability = 15 / 72

Therefore 15 / 72 is the probability that two blue was taken.

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Answer:

A

Step-by-step explanation:

2(1-3x)-(5x+1)

=2-6x-5x-1

=1-6x-5x

=1-11x/-11x+1

Answer:

4 to the 9th power :D

Step-by-step explanation:

Please Brainliest

Answer:

63 i think!

Step-by-step explanation:

71-53 is 18. 18+45 is 63!

Im so so so sorry if im wrong, have a nice day friend!: )

Domain of the given function yx-3x=3y-1 is ( -∞,3) ∪ (3,∞), {x|x [tex]\neq[/tex] 3}.

The dependent variable and the independent variable are the two types of variables used to define a function.

The domain of a function is a set of all possible values of x which is an independent variable. For example The domains of function f(x)=x² can be all real numbers.

Despite x=0, the domain of g(x)=1/x can contain any real number.

The input values to a function are referred to as domains, while the output values are referred to as the range. The data flow is as follows:

Domain → Function → Range

We are aware that the value of x is the function's domain. Therefore, the domain is ( -∞,3) ∪ (3,∞), {x|x [tex]\neq[/tex] 3} for the provided function.

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To convert the odds to a probability, we can divide the odds by one plus the odds.

then, in this case we have the following:

then, we have that the probability is:

thus, the probability that the Giants will win the superbowl is 2/5=0.4=40%

As we can see, we cannot expect for sure that the giants will win

11 dogs will eat 15 pounds of food.

According to the question,

We have the following information:

3 dogs eat 4 pounds.

We have to find how many dogs will eat 15 pounds.

We have the following expression:

4 pounds = 3 dogs

We can treat dog as a non-living object or a product.

So, we can find the parts devoted to 1 pound:

1 pound = 3/4

Now, we have to find the same for 15 pounds:

15 pounds = (3/4)*15

15 pounds = 11.25

Now, note that the number of dogs can not be in points. So, we will round it off to form a whole number.

So, 15 pounds = 11 dogs

Hence, 15 pounds of food is enough for 11 dogs.

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The standard deviation (SD) of a sample proportion obtained when the sample size is 1,600 is equal to 0.0121.

A sample proportion can be defined as the proportion of individuals in a sample that have a specified characteristic or trait.

Mathematically, sample proportion can be calculated by using this formula:

[tex]\hat{p} = \frac{x}{n}[/tex]

Where:

In Mathematics, the standard deviation (SD) of a sample proportion obtained when the sample size is 1,600 can be calculated by using this formula:

Standard deviation (SD) = √(p(1 - p)/n)

Substituting the given parameters into the formula, we have;

Standard deviation (SD) = √(0.37(1 - 0.37)/1,600)

Standard deviation (SD) = √(0.37(0.63)/1,600)

Standard deviation (SD) = √(0.2331)/1,600)

Standard deviation (SD) = √0.0001457

Standard deviation (SD) = 0.0121.

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Points which would fall on the line produced by the point-slope form equation y - 3=1/2(x - 7) when graphed are as follow:

c. (1,0)

d. (3, 1)

As given,

Equation of given line

y - 3=1/2(x - 7)

Points which would fall on the line produced by the point-slope form:

a.(0,1)

x=0

y-3=1/2(0-7)

⇒ y=-1/2

b.(1,-1)

x=1

y-3=1/2(1-7)

⇒y=0

c.(1,0)

x=1

y-3=1/2(1-7)

⇒y=0

Required point

d.(3,1)

x=3

y-3=1/2(3-7)

⇒y=1

Required point

Therefore, points which would fall on line produced by the point-slope form equation y - 3 = 1/2(x - 7) when graphed are as follow:

c. (1,0)

d. (3, 1)

The complete question is :

Which of the following points would fall on the line produced by the point-slope form equation y - 3 = 1/2(x - 7) when graphed?

a. (0,1)      b. ( 1,-1)       c. (1,0)       d. (3,1)

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The solution of a system is the point where the lines described by the equations of the system intersect, If a system has no solution, it is said to be inconsistent, In this case, both lines have the same slope (-3/2) which means that they are parallel each other, then they will never intersect, and the system has no solution and is inconsistent

For 1 cup of blue paint, 1/4 cups of black paint is needed

The given parameters are

8 cups of blue paint needed for 2 cups of black paint

This means that

8 cups of blue paint needed = 2 cups of black paint

Divide both sides of the equation by 8

So, we have the following equation

8/8 cups of blue paint needed = 2/8 cups of black paint

Evaluate the quotient

So, we have the following equation

1 cup of blue paint needed = 1/4 cups of black paint

Hence, the amount of black paint is 1/4

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Answer:

20 miles

Step-by-step explanation:

If it is two miles each way, then he rides a total of 4 miles every day.

Multiply 4 by 5

4 x 5 = 20

20 miles

Answer:

20 miles

Step-by-step explanation:

he always goes to school and comes back, to that means each day where he goes to school he rides 4 miles each time.

if he does this for 5 days you can write the following:

4*5 = 20 or if you haven't learned multiplication you can think of it like this:

4+4+4+4+4= 20

Check the picture below.

Answer:

9404 digits

Step-by-step explanation:

The numbers written:

51, 53, 55, 57, 59, . . . 97, 99 [5*5=25 numbers; 50 digits]

101, 103, 105, . . . 997, 999 [9*50=450 numbers; 1350 digits]

1001, 1003, 1005, . . . 4997, 4999, 5001 [40*50+1=2001 numbers; 8004 digits]

Total:

50 + 1350 + 8004 = 9404 digits