-33 + 8x = -3 (3x+6) + 2

Answer:

(2x-11)(2x+11)

Step-by-step explanation:

2x-11 × 2x+11 yields

4x^2 + 22x -22x +121

22x subtracts itself and final result is

4x^2 -121

Answer:

45 degrees

Step-by-step explanation:

so we know there is one 90 degree angle

and the other two angles are congruent

so the math would go like this

180-90=90

90/2= 45

(the 2 represents the two angles)

Answer:

x = 22.62°  (nearest hundredth)

Step-by-step explanation:

As this is a right triangle, we can use the cosine trigonometric ratio to find x.

[tex]\sf \cos(\theta)=\dfrac{A}{H}[/tex]

where:

Given:

Substitute the given values into the formula and solve for x:

[tex]\implies \cos(x)=\dfrac{12}{13}[/tex]

[tex]\implies x=\cos^{-1}\left(\dfrac{12}{13}\right)[/tex]

[tex]\implies x=22.61986495...^{\circ}[/tex]

[tex]\implies x=22.62^{\circ}\:\: \sf(nearest\:hundredth)[/tex]

The probability that it bears a 2 digit no. is 41/50; a perfect square no is; 3/25; a no. divisible by 5​ is; 0.2

We are given;

Number of Discs in box = 50

Type of discs in box = Numbered 1 to 50

i) Number of 2 digit numbers = 41

Thus;

P(2 digit numbers) = 41/50

ii) Perfect square numbers are; 4, 9, 16, 25, 36 and 49. Thus;

P(perfect square number) = 6/50 = 3/25

iii) Numbers divisible by 5 are; 5, 10, 15, 20, 25, 30, 35, 40, 45, 50.

Thus;

P(numbers divisible by 5) = 10/50 = 0.2

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The number of the cupcakes sold that day that were vanilla flavored is 172.

The number of the cupcakes sold that day that were vanilla flavored can be calculated using the following formula:

Number of vanilla flavored cupcakes sold = Total number of cupcakes sold * Percentage that were vanilla flavored .............. (1)

Substituting the relevant values into equation (1), we have:

Number of vanilla flavored cupcakes sold = 400 * 43% = 172

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Step-by-step explanation:

Answer:Mxy= [(Xa+Xb/2);(Ya+Yb/2)]

=(2+8/2);(3+9/2)

Midpoint= (5, 6)

Step-by-step explanation:

The total surface area of the building is the  sum of the total faces an object contains. The walkway should be about 2.57feet

The total surface area of the building is the  sum of the total faces an object contains. The formula is expressed as:

TSA = 2(lw + wh + lh)

where

Given the following parameters

TSA = 168 square feet

length = 8feet

Height = 6 feet

Required

Width of the walkway

Substitute

168 = 2(lw + wh + lh)

84 = (8(6) + 6w + 8w)
84 = 48 + 14w
14w = 84 - 48
14w = 36

w = 2.57feet

Hence the walkway should be about 2.57feet

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The polynomial function that could be represented by the graph is f(x) = x³ + x² - 6x

The attached graph represents the missing part of the question

From the attached graph, the x-intercepts of the graph are:

x1 = -3

x2 = 0

x3 = 2

The equation of the graph is then calculated as:

f(x) = (x - x1)(x - x2)(x - x3)

This gives

f(x) = (x + 3)(x - 0)(x - 2)

Expand

f(x) = x(x² + 3x - 2x - 6)

Evaluate

f(x) = x(x² + x - 6)

Expand

f(x) = x³ + x² - 6x

Hence, the polynomial function that could be represented by the graph is f(x) = x³ + x² - 6x

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[tex]-5x\sqrt{192x^3} + \sqrt{3x^5}\\\\=-5x\left(192x^3 \right)^{\tfrac 12} + \left(3x^5 \right)^{\tfrac 12}\\\\=-5\cdot (192)^{\tfrac 12} \cdot x \cdot x^{\tfrac 32} + 3^{\tfrac 12} \cdot x^{\tfrac 52}\\\\=-5\left( 64 \cdot 3 \right)^{\tfrac 12} \cdot x^{1+\tfrac 32} + 3^{\tfrac 12} \cdot x^{\tfrac 52}\\\\=-5\cdot 8\cdot 3^{\tfrac 12} \cdot x^{\tfrac 15} + 3^{\tfrac 12} \cdot x^{\tfrac 52}\\\\=-40\cdot 3^{\tfrac 12} \cdot x^{\tfrac 52}+3^{\tfrac 12} \cdot x^{\tfrac 52}\\\\[/tex]

[tex]=-39\cdot 3^{\tfrac 12} \cdot x^{\tfrac 52}\\\\=-39\sqrt 3 \sqrt{x^5}[/tex]

Answer:

  y = 2x

Step-by-step explanation:

The graph is of a straight line through the origin. Its slope can be determined from the grid points it passes through. That slope will be the constant of proportionality for the proportion represented.

__

When the graph is a line through the origin, it is a representation of a proportion that can have the equation ...

  y = kx

where k is the constant of proportionality, also the slope of the line.

The value of k will be the y-value when x=1. Reading from the graph, we find the line goes through point (1, 2), so y = 2 when x = 1. That means k = 2 and the equation of the line is ...

  y = 2x

Answer:

x=-(7 [tex]\pm i\sqrt(7)[/tex])

Step-by-step explanation:

So we all know the FORMULA for a sphere is v=4/3 x π x r^3

So, now we SUBSTITUTE ,V=4/3 x π x 7^

This leaves us with the answer of 1436.76 ft ^2 maybe?

(hope this is correct!)

The dimensions of the rectangle will be 4 and 6.

From the information given, we are told that the area is given by x² + 2x - 24. We will expand this as follows:

x² + 2x - 24

x² + 6x - 4x - 24

x(x + 6) + 6(x - 4)

x - 4 = 0

x = 0 + 4

Therefore, the other dimension will be:

= 24/4

= 6

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Answer:

Step-by-step explanation:

Let x be the unknown number.

(5÷8)x = 200

Then

x = (8×200) ÷ 5

  = 1600 ÷ 5

  =320

……………………………

(7/10)x = (7/10)×320

           = (7×320) ÷ 10

           = 224

Answer:

= 224

Step-by-step explanation:

Hi there!, here is how we solve the problem;

To begin, the question wants us to determine

[tex] \frac{7}{10} [/tex]

of the number x (unknown).

[tex] \frac{5}{8} = 200 \\ \frac{8}{8} = x \\ ( \frac{ \frac{8}{8} \times 200 }{ \frac{5}{8} } ) \\ = \frac{8}{8} \times 200 \times \frac{8}{5} \\ = 320 \\ x = 320[/tex]

We have found our x = 320

Lets now determine

[tex] \frac{7}{10} [/tex]

Which is given by;

[tex]( \frac{7}{10} \times 320 \\ = 224[/tex]

[tex] \frac{7}{10} [/tex]

of the number is therefore 224.

= 224 <<<<<< Ans

I hope this helps.

Have a nice studies.

400 miles away is the rescue site if the helicopter arrives 1 hour after the plane arrives and the expression 400t = 200(t + 1) represents the  time that the plane flies option second is correct.

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

We have:

A helicopter is sent from the same base station to rescue wounded persons. If the plane flies 400 mph, the helicopter flies 200 mph, and they leave at the same time.

Let's suppose the plane takes t hours

We know,

Distance = speed×time

400×t = 200(t + 1)

or

400t = 200(t + 1)

After solving we get:

t = 1 hour

Distance = 400×1 = 400 miles

Thus, 400 miles away is the rescue site if the helicopter arrives 1 hour after the plane arrives and the expression 400t = 200(t + 1) represents the  time that the plane flies option second is correct.

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Answer:

-3/2

Step-by-step explanation:

See attached image

Answer:

[tex]m=\frac{-3}{2}[/tex]

Step-by-step explanation:

m = slope
[tex]m=\frac{-4-5}{4--2}[/tex]  
[tex]m=\frac{-9}{6}[/tex]
[tex]m=\frac{-3}{2}[/tex]

The height of the cell phone tower will be 138 feet.

A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.

A 2-ft vertical post casts a 20-in shadow at the same time a nearby cell phone tower casts a 115-ft shadow.

Then the height of the cell phone tower will be

Let x be the height of the cell phone tower.

x / 2 = 115 x 12 / 20

    x = 69 x 2

    x = 138 feet

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Answer:

d

Step-by-step explanation:

the statement "you can avoid having a hold placed on when funds are available is noat a benefit of the direct deposit

Answer:

It would be 35/36

Step-by-step explanation:

so if you did like 1+1, 1+2, 1+3....2+1,2+2, 2+3 yada yada

the only possible number combo that would equal twelve is 6+6 and there is 36 possible combos so your answer is 35/36

- a former algebra 2 student

hi

Step-by-step explanation:

I

don't

know

see you in next question

Answer:

scale factor = 4

Step-by-step explanation:

the scale factor is the ratio of corresponding sides, image to original

scale factor = [tex]\frac{8}{2}[/tex] = 4

Answer:

3/10

Step-by-step explanation:

Please give brainliest!

hope this helps :)

the first step is to multiply 1/4 and 2/5

1/4 times 2/5 = 2/20

you figure this out by multiplying the numerators and denominators.

next, we solve 2/20 ÷ 1/3

we do this by taking the reciprocal of 1/3, which is 3/1, and then multiplying the fractions

2/20 times 3/1 = 6/20

6/20 = 3/10

The bicyclist's speed as a rate is 40/3 miles per hour

The given parameters are:

The rate is calculated as:

Rate = Distance/Time

Substitute known values

Rate = 40 miles/3 hours

Rewrite as:

Rate = 40/3 miles per hour

Hence, the bicyclist's speed as a rate is 40/3 miles per hour

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Answer:

-2

Step-by-step explanation:

the zero of the function is -2 because it's the root of the equation when y= 0

The area of the flower bed is 77 square feet

The given parameters are:

The area of the flower bed is calculated as:

Area = 0.5 * Product of perpendicular sides

So, we have:

Area = 0.5 * 14 * 11

Evaluate

Area = 77

Hence, the area of the flower bed is 77 square feet

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About 296 households have more than three children. Then the correct option is C.

Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as

The expected value will be

E(X) = np

Carmen used a random number generator to simulate a survey of how many children live in the households in her town.

There are 1,346 unique addresses in her town with numbers ranging from zero to five children.

The results of 50 randomly generated households are shown below.

Children in 50 Households

Number of Children        Number of Households

             0                                          5

             1                                          11

             2                                        13

             3                                        10

             4                                         9

             5                                         2

Then the value of p and n will be

p = 11/50

n = 1346

Then the expected value will be

E(x) = (11/50) x 1346

E(x) = 296.12 ≈ 296

Then the correct option is C.

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Usando proporciones, hay que no se trabajaron en 65 dias durante el año de 2018 en la empresa SAC-OLC.

Una proporción es una fracción de la cantidad total, e los problemas pueden ser resolvidos con una regla de três.

En este problema, hay que se fabricaran 24000 ollas en el año de 2018, con una taja de 80 ollas al dia. Así, el número de dias trabajados es dado por:

n = 24000/80 = 300.

El año de 2018 tuvo 365 dias, así, el número de dias no trajados fue de:

365 - 300 = 65.

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Answer:

About 32

Step-by-step explanation:

It says 7 3/4 and she makes 4 curtains ESTIMATE!! So you round the 7 3/4 to 8 and do 8 x 4 since she made 4 curtains. Hope this helped!

Suppose that b is a positive integer greater than or equal to 2. When 197 is converted to base b, the resulting representation has 4 digits. What is the number of possible values for b?

The possible values of b are 4 and 5

The conditions are given as:

So, we start by converting 197 to base 2 and above.

This is done as follows:

197 to base 2

2 | 197

    98 R 1

    49 R 0

    24 R 1

    12 R 0

    6 R 0

    3 R 0

    1 R 1

    0 R 1

So, we have:

197 = 11000101 in base 2

11000101 has more than 4 digits.

This means that b cannot be 2

Using the above method of conversion, we have:

See that as the base increases, the number of digits decreases.

The numbers in base 4 and 5 have 4 digits.

Hence, the possible values of b are 4 and 5

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Answer:

hypotenuse(h)^2 = 3^2 + 7^2

h^2 = 9 + 49

h = √58

h = 7.6