If I multiply
number by 4 and then add 5
the answer is
8. Find this number

Answer:

D

Step-by-step explanation:

The cost of the adult tickets that Ms. Valencia bought is $12.

Ms. Valencia bought 8 tickets for the school movie night, and one-fourth of the tickets are adult tickets. The adult tickets cost $6 each.

The equation that can be used to find t, the cost of the adult tickets Ms. Valencia buys, is shown below:

t = (1/4) x 8 x $6

The above equation is used to find t, the cost of the adult tickets. The first part of the equation, 1/4, represents the fraction of the tickets that are adult tickets. The next part of the equation, 8, represents the total number of tickets bought by Ms. Valencia. The last part of the equation, $6, represents the cost of each adult ticket.

By multiplying all these values together, we can find t, the total cost of the adult tickets that Ms. Valencia bought.

Substituting the values from the problem into the equation, we get:

t = (1/4) x 8 x $6t = (2 x $6)t = $12

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Answer: To divide two rational expressions, you need to first find the least common denominator (LCD) of the two expressions. The LCD is the least common multiple of the two denominators.

In this case, the rational expressions are x/(3x-1) and (x-2)/(2x). The LCD of these two expressions is (3x-1)(2x), which can be factored as 6x(x-1).

To divide the two rational expressions, you need to express each expression as a fraction with the LCD as the denominator.

The first expression, x/(3x-1), can be rewritten as (x * (2x))/(3x-1 * (2x)) = (2x^2)/(6x^2-2x).

The second expression, (x-2)/(2x), can be rewritten as ((x-2) * (3x-1))/(2x * (3x-1)) = (3x^2-3x+2)/(6x^2-2x).

To divide these two expressions, you can divide the numerators and the denominators separately:

(2x^2)/(6x^2-2x) ÷ (3x^2-3x+2)/(6x^2-2x)

= (2x^2) ÷ (3x^2-3x+2)

= (2/3)x^2 ÷ (x^2-x+2/3)

Therefore, the quotient of the rational expressions x/(3x-1) and (x-2)/(2x) is (2/3)

Step-by-step explanation:

Answer:

I guess it would be 36?

Step-by-step explanation:

Answer:what do you need help with

Step-by-step explanation:

I will help

the center of circle O is (12, -6).

To find the center of the circle , we need to find the intersection point of the perpendicular bisectors of any two sides of triangle .

The midpoint of BC is ((12+12)/2, (7+0)/2) = (12, 3.5), and the midpoint of AB is ((0+12)/2, (0+7)/2) = (6, 3.5).

The slope of BC is (7-0)/(12-12) = undefined, which means that the perpendicular bisector of BC is the vertical line x=12.

The slope of AB is (7-0)/(12-0) = 7/12,

the perpendicular bisector of AB has a slope of -12/7

passes through the midpoint (6, 3.5).

Therefore, its equation is:

y - 3.5 = (-12/7)(x - 6)

Simplifying:

y = (-12/7)x + 27

To find the intersection point of the two lines , x=12 into the second equation:

y = (-12/7)(12) + 27 = -6

Therefore, the center of circle O is (12, -6).

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The range is the possible output values ( the y values).

The graphed line has arrows pointing up which means the range continues infinitely but the line crosses at y = -6.

This makes the range from -6 to infinity

[-6, infinity)

Answer:

The first term is, x2 its coefficient is 1 .

The middle term is, -9x its coefficient is -9 .

The last term, "the constant", is +16

Step-1 : Multiply the coefficient of the first term by the constant 1 • 16 = 16

Step-2 : Find two factors of 16 whose sum equals the coefficient of the middle term, which is -9 .

-16 + -1 = -17

-8 + -2 = -10

-4 + -4 = -8

-2 + -8 = -10

-1 + -16 = -17

1 + 16 = 17

2 + 8 = 10

4 + 4 = 8

8 + 2 = 10

16 + 1 = 17

The solution is: the triangles are,

obtuse

acute

The Law of Cosines tells you the largest angle C will be found from ...

 C = arc cos((a² +b² -c²)/(2ab))

where c is the longest side of the triangle.

For the purpose of classifying the triangle as acute, right, or obtuse, you need only look at the sign of the argument of the arcos function. Since all side lengths are positive, this means you only need to look at the sign of the "form factor" a²+b²-c².

When f = a²+b²-c² is negative, the cosine is of an angle larger than 90°, so the triangle is obtuse. When it is 0, the angle is 90°, so a right triangle. (That condition is recognizable as related to the Pythagorean theorem.) When f > 0, the triangle is acute.

In the attached spreadsheet, we have done these calculations by summing the squares of all three sides, then subtracting twice the square of the longest side. (This makes the formula fairly simple.) It shows ...

 Triangle 1: f < 0 — obtuse triangle

 Triangle 2: f > 0 — acute triangle

In summary, you can compute a form factor ...

 f = a² +b² -c² . . . . . . . triangle with side lengths a, b, c with c longest

f < 0 — obtuse

f = 0 — right

f > 0 — acute

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complete question:

picture attached

the graph οf y=-2sin(-3x) οver the interval [0, 2π] will lοοk like a wave that οscillates 3 times between y=-2 and y=2, with a periοd οf 2π/3. The graph will start at the x-axis at y=0 and be reflected acrοss the x-axis.

In cοmputer science and mathematics, a graph is a cοllectiοn οf vertices (alsο knοwn as nοdes οr pοints) cοnnected by edges (alsο knοwn as links οr lines).

I can help yοu graph the functiοn y=-2sin(-3x) οver the interval [0, 2π].

Tο start, let's analyze the functiοn. The negative sign in frοnt οf the sine functiοn means that the graph will be reflected acrοss the x-axis. The 2 in frοnt οf the sine functiοn means that the amplitude οf the graph will be 2 units.

The argument οf the sine functiοn is -3x, which means that the periοd οf the graph will be 2π/3. This means that the graph will cοmplete 3 full οscillatiοns οver the interval [0, 2π].

Using this infοrmatiοn, we can sketch the graph as fοllοws:

At x=0, the sine functiοn is 0, sο the graph starts at the x-axis at y=0.

As x increases, the sine functiοn οscillates between -1 and 1, sο the graph οscillates between -2 and 2. Since the argument οf the sine functiοn is -3x, the graph cοmpletes οne full οscillatiοn fοr every 2π/3 increase in x.

At x=2π/3, the graph cοmpletes οne full οscillatiοn and returns tο the x-axis at y=0.

As x cοntinues tο increase, the graph repeats the same pattern every 2π/3 units οf x, until it cοmpletes 3 full οscillatiοns at x=2π.

Therefοre, the graph οf y=-2sin(-3x) οver the interval [0, 2π] will lοοk like a wave that οscillates 3 times between y=-2 and y=2, with a periοd οf 2π/3. The graph will start at the x-axis at y=0 and be reflected acrοss the x-axis.

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The vertex of a parabola is the extreme point (maximum or minimum, depending on the the sign of the quadratic coefficient).

In the graph, we can see that the x-coordinate of the vertex is x=-1 and the y-coordinate is y=3.

Then, we can write the coordinates of the vertex as (h,k) = (-1,3)

Answer: The coordinates of the vertex are (-1,3)

Answer:

Step-by-step explanation:

|<--------------  10 --------------------->|

S-------------------T--------------------U

            X-6              2X - 8

FIND: ST

SOLUTION:

ST + TU = SU

x - 6 + 2x - 8 = 10

combine like terms:

3x - x = 10 + 8 + 6

x = 24/3

x = 8

plugin the value of x= 8 into the ST = x - 6

ST = x - 6

ST = 8 - 6

ST = 2

proof:

x - 6 + 2x - 8 = 10

8 - 6 + 2(8) - 8 = 10

10 = 10 ---OK

Answer and Step-by-step explanation:

So Ella starts out with with the equation:

(3b + 4r) + (-2b - r)

and results in b + 5r.

Let's solve for ourselves to see what Ella did wrong.

3b + 4r - 2b - r

4r - r = 3r

3b - 2b = b

b + 3r

We can see that Ella mistakenly added the r and 4r to become 5r, instead of subtracting the two.

#teamtrees #WAP (Water And Plant)

Answer and step-by-step explanation:

So Ella starts out with with the equation:

(3b + 4r) + (-2b - r)

and results in b + 5r.

Let's solve for ourselves to see what Ella did wrong.

3b + 4r - 2b - r

4r - r = 3r

3b - 2b = b

b + 3r

Answer:

Probability of an event = 1 / 10

Step-by-step explanation:

Given:

Total number of people in particular area = 1,600

Number of people vaccinated = 160

Find:

Probability[people vaccinated]

Computation;

Probability of an event = Number of favorable outcomes / Total number of outcome

Probability of an event = 160 / 1600

Probability of an event = 16 / 160

Probability of an event = 1 / 10

Answer:

1) 3,6,9

2) the pattern will keep growing around 3 multiple

3) the next pattern is 12,15

(a) Expected number of repairs per year is 0.33 (b) Standard deviation of number of repairs per year is 0.749, (c) The mean and standard deviation of annual expense are $136.55 and $26.217 respectively.

Standard deviation is a measure in statistics which measures the amount of deviation a set of data has with respect to their mean.

(a) Expected number of repairs for the freezer per year is the sum of the product of number of repairs to their probability.

E(Repairs) = (0 × 0.80) + (1 × 0.11) + (2 × 0.05) + (3 × 0.04)

                 = 0.33

(b) Standard deviation of number of repairs per year can be calculated as,

SD(Repairs) = \(\sqrt{[(0 - 0.33)^{2}(0.8)]+[(1-0.33)^{2}(0.11)] + [(2-0.33)^{2}(0.05)]+[(3-0.33)^{2}(0.04)] }\)

= √ (0.5611)

= 0.749

(c) Mean of the restaurant's annual expense with service contract is,

Mean = Expected cost = $125 + ($35 × 0.33) = $136.55

Standard deviation of the restaurant's annual expense with service contract is,

SD = \(\sqrt{35^{2}(0.5611) }\) = 35 × 0.759 = 26.217

Hence the expected number of repairs is 0.33, standard deviation of number of repairs is 0.749, mean and standard deviation of annual expense is $136.55 and $26.217 respectively.

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The value of the given expression is 5, According to the given options the correct option is C i.e. 5.

The number's power indicates how many times the original number can be multiplied.

For example :-   2³ = 2 × 2 × 2 = 8

A different number that, when multiplied a certain number of times by itself, equals x is called the root of a number x.

For example :- = \(\sqrt[3]{8}\) = 2

According to identity

(aⁿ)ˣ = aⁿˣ

In question we have to evaluate  ,

(5)\(\frac{1}{2}\) ˣ ² = (5)¹ = 5

Hence we get the required answer as 5.

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To find the volume of the solid generated when the region R, bounded by the curves y = 3|x| and y = 18 - x^2, is revolved about the x-axis, we can use the method of cylindrical shells.

This method involves integrating the surface area of infinitesimally thin cylindrical shells formed by rotating the region about the x-axis.

Determine the intersection points: Set the two equations equal to each other and solve for x to find the intersection points of the curves. In this case, solve 3|x| = 18 - x^2.

Set up the integral: The volume of the solid can be calculated by integrating the surface area of the cylindrical shells. The integral should be set up from the x-coordinate of the leftmost intersection point to the rightmost intersection point.

Express the radius of the shells: The radius of each cylindrical shell is given by the distance between the x-axis and the curve at a particular x-coordinate. In this case, the radius is y = 3|x|.

Determine the height of the shells: The height of each cylindrical shell is infinitesimally small and is given by the differential element dx.

Evaluate the integral: Integrate the product of the radius and height over the interval determined in step 2. The integral should be in the form ∫(2πy)(dx).

Calculate the final result: Evaluate the integral to obtain the volume of the solid generated when the region R is revolved about the x-axis.

By following these steps, you can find the volume of the solid formed when the region bounded by the given curves is revolved about the x-axis.

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Answer:

7.8025

Step-by-step explanation:

You get the circumfence formula 2 * pi * r

since you are looking for the radius divide 49/2 then the answer you get divide it by pi and then you have your radius

i hope this helped<33

[I'm using 22/7 as pi in this question, for the sake of convenience, since the value of pi to be used isn't given.]

Circumference = \(2\pi r\)

49 = 2 x \(\frac{22}{7}\) x r

r = 49 x \(\frac{7}{44}\)

r = approx. 7.8 yards

Answer:

9

Step-by-step explanation:

Simplifying

2y + -6 = 12

Reorder the terms:

-6 + 2y = 12

Solving

-6 + 2y = 12

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '6' to each side of the equation.

-6 + 6 + 2y = 12 + 6

Combine like terms: -6 + 6 = 0

0 + 2y = 12 + 6

2y = 12 + 6

Combine like terms: 12 + 6 = 18

2y = 18

Divide each side by '2'.

y = 9

Simplifying

y = 9

Answer:

Y=9

Step-by-step explanation:

Subtract 6 from both sides. Simplify. Dive both sides of the equation by the same term. Simplify. Solution y=9

the probability that an individual is really allergic to cats given a positive test result is approximately 0.0985 or 9.85%.

To determine the probability that an individual is really allergic to cats given a positive test result, we can use Bayes' theorem.

Let's define the following probabilities:

P(A) = Probability of being allergic to cats = 0.01 (1% of the population)

P(T) = Probability of a positive test result

P(T|A) = Probability of a positive test result given that the individual is allergic to cats (true positive rate) = 0.80

P(T|not A) = Probability of a positive test result given that the individual is not allergic to cats (false positive rate) = 0.10

We want to find P(A|T), the probability of being allergic to cats given a positive test result.

According to Bayes' theorem:

P(A|T) = (P(T|A) * P(A)) / P(T)

To calculate P(T), we need to consider both the true positive cases (allergic individuals who test positive) and the false positive cases (non-allergic individuals who test positive):

P(T) = P(T|A) * P(A) + P(T|not A) * P(not A)

P(not A) represents the probability of not being allergic to cats, which is equal to 1 - P(A).

Let's substitute the given values into the formula:

P(T) = (0.80 * 0.01) + (0.10 * (1 - 0.01)) = 0.0809

Now we can calculate P(A|T):

P(A|T) = (0.80 * 0.01) / 0.0809 ≈ 0.0985

Therefore, the probability that an individual is really allergic to cats given a positive test result is approximately 0.0985 or 9.85%.

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If the property of a sample of matter depends on the amount of matter present, it is an extensive property.

Extensive properties of a substance depend on the amount or size of the substance being measured. Examples of extensive properties include mass, volume, and heat capacity.Examples of extensive properties are weight, length, volume, size, surface area, and charge. The extensive property of a substance or material varies proportionally to its size or amount. The greater the quantity or size of the substance, the greater the extent of the substance's extensive property.Therefore, it can be said that if the property of a sample of matter depends on the amount of matter present, it is an extensive property.

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Answer:

7x

Step-by-step explanation:

Cases are on display OA 619,200 cubic inches.

Number is a mathematical entity used to represent a computer magnitude it can be symbol or a combination of simple you should in order to take quantity such as the two, five, seven, three or eight number are used to verify the context including counting measuring and computing.
To calculate the number of cubic inches needed for 360 cases of 12-ounce cans of soft drink, we need to multiply the number of cases (360) by the volume of each case. The volume of each case can be calculated by multiplying its length (16 inches), width (10.75 inches) and height (5 inches):

Volume = 16.00 inches x 10.75 inches x 5.00 inches = 828 cubic inches

Therefore, 360 cases of 12-ounce cans of soft drink require (360 x 828) = 619,200 cubic inches.

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Answer:

give me brainliest first

Step-by-step explanation:

then i shall answer