Distribute the following 3(2x+6)

The value of a is 1 , b = 3 , c = 4 , Option B is the correct answer.

The correct question is

Which values of a, b, and c represent the answer in simplest form?

7/9 divided by 4/9 = \(\rm a\dfrac{b}{c}\)

1: a = 1, b = 4, c = 3

2: a = 1, b = 3, c = 4

3: a = 1, b = 63, c = 36

4: a = 1, b = 36, c = 63

Reducing to simplest form means to reduce to an extent where the numerator and denominator have nothing in common to be cancelled out.

It is given in the question that

(7/9) / (4/9) =  \(\rm a\dfrac{b}{c}\)

It can also be written as

(7*9)/(4*9) =  \(\rm a\dfrac{b}{c}\)

7/4 = \(\rm a\dfrac{b}{c}\)

\(\rm 1 \dfrac{3}{4} = a\dfrac{b}{c}\)

Therefore the value of a is 1 , b = 3 , c = 4 , Option B is the correct answer.

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The value of 4 Superscript negative 4 is negative StartFraction 1 Over 4 Superscript negative 4 EndFraction.

In the given table, Tasha observed a pattern in the powers of 4. When the exponent decreases by 1, the previous value is divided by 4. Using this pattern, she determined the values for 4 squared, 4 Superscript 1, 4 Superscript 0, 4 Superscript negative 1, and 4 Superscript negative 2.

To find the value of 4 Superscript negative 3, she divided the previous value (StartFraction 1 Over 16 EndFraction) by 4, resulting in StartFraction 1 Over 64 EndFraction.

Similarly, for 4 Superscript negative 4, she divided the previous value (StartFraction 1 Over 64 EndFraction) by 4, yielding StartFraction 1 Over 256 EndFraction.

Finally, to rewrite the value for 4 Superscript negative 4, she expressed it as negative StartFraction 1 Over 4 Superscript negative 4 EndFraction.

Therefore, the value of 4 Superscript negative 4 is negative StartFraction 1 Over 4 Superscript negative 4 EndFraction, which simplifies to StartFraction 1 Over 256 EndFraction

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Answer:

y=25*2ˣ.

Step-by-step explanation:

no details.

Required factors of the given expression is (7-10x) and (5x-4).

What is factor?

A number or algebraic expression that divides another number or expression evenly—that is, without a remainder is called factor. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12. A positive integer greater than 1, or an algebraic expression with only two factors (that is, itself and 1), is called a prime number; A positive integer or an algebraic expression that has more than two factors is called a complex number. The prime factors of a number or algebraic expression are those factors that are prime factors. According to the Fundamental Theorem of Arithmetic, any integer greater than 1 can be uniquely expressed as the product of its prime factors, except for the order in which the prime factors are written; for example, 60 can be written as a product of 2·2·3·5.

Given expression is

\(2(2x-1)^{2} + 2(3-6x)(4x-7) - 4 {x}^{2} + 1 - 6 {x}^{2} - 25x + 11\)

We are Simplifying,

2(2x-1)² + 2(3-6x)(4x-7) - 4x² + 1 - 6 x² - 25x + 11

= 2( 4x²-4x+1)+2(12x-21-24x²+42x)-4x²+1-6x²-25x+11

= 8x²-8x+2+24x-42-48x²+84x-4x²+1-6x²-25x+11

= -50x²+75x-28

= -(50x²-75x+28)

= -[50x²-(50+25)x+28]

= -1[5x(10x-7)-4(10x-7)]

= -(10x-7)(5x-4)

= (7-10x) (5x-4)

Required factors of the given expression are (7-10x) and (5x-4)

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Answer:

Ummm im NIT good at math but here

2u^2/3

Step-by-step explanation:

First simplify

Then combine the multiplied terms into your single fraction

too lazy to write out but hope it's right!

Answer:

0.66u

Step-by-step explanation:

2u/3u=0.66u

Answer:

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Step-by-step explanation:

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The study described is a randomized experiment.

A randomized experiment is a typical experimental study design. It is a study design in which the researcher or investigator is in complete control of the research environment. For example, an investigator may wish to assess the effects of certain treatments on some experimental units.

The investigator decides the type of treatment, the type of experimental unit to use, and the allocation and assessment procedures of the treatments and effects, respectively, while in an observational study, the researcher or investigator is usually a passive observer as he only observes and analyses facts and events as they occur naturally.

In experimental studies, the researcher is in complete control of the exposure, and the result should therefore provide stronger evidence of an association or lack of association between exposure and a health problem than would an observational study.  

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"Determine whether the study described below is a randomized experiment or an observational study.

A medical researcher wants to determine whether exercise can lower blood pressure. She recruits 100 people with high blood pressure to participate in the study. She assigns a random sample of 50 of them to pursue an exercise program that includes daily swimming and jogging. She assigns the other 50 to refrain from vigorous activity. She measures the blood pressure of each of the 100 individuals both before and after the study."--

Answer:

Answer -2/1

Step-by-step explanation:Slope is the number in front of x

Answer:

√33

Step-by-step explanation:

it is a right triangle and we use Pythagoras

x² = 7² - 4²

x² = 49 - 16

x² = 33

x = √33

Answer:

72.06

Step-by-step explanation:

Given that :

Side Lenght, a = 10

Edge length, b = 17

Using Pythagoras :

h = height of pyramid

h = sqrt (b² - 1/2a²)

h = sqrt(17^2 - 10^2/2)

h = sqrt(289 - 50)

h = 15.46

Slant height :

L = sqrt(h² + a²/4)

L = sqrt(15.46² + 25)

L = sqrt(239 + 25)

L = sqrt(264)

L = 16.25

Sinα = h/L

α = sin^-1 (15.46/16.25)

α = 72.060933

= 72.06

The approximate value of the angle formed between the base and a triangular face is 72.0775°.

Let \(h\) be the distance between the center of the square base and the midpoint of the side of the square and let \(H\) the height of the triangular face of the pyramid. By properties of the square and the Pythagorean theorem we derive expressions for \(h\) and \(H\), respectively:

Square base

\(h = 0.5\cdot L\) (1)

Triangular face

\(H = \sqrt{l^{2}-0.25\cdot L^{2}}\) (2)

Where:

Finally, by trigonometry we can derive an expression for the angle between the base and a triangular face (\(\theta\)), in sexagesimal degrees:

\(\theta = \cos^{-1} \frac{h}{H}\) (3)

If we know that \(L = 10\,km\) and \(l = 17\,km\), then the angle between the base and a triangular face is:

\(h = 5\,km\)

\(H = \sqrt{17^{2}-5^{2}}\)

\(H \approx 16.248\,km\)

\(\theta = \cos^{-1} \frac{5\,km}{16.248\,km}\)

\(\theta \approx 72.0775^{\circ}\)

The approximate value of the angle formed between the base and a triangular face is 72.0775°.

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Answer:

volume = 4.5 in³

Step-by-step explanation:

V = L x W x H

V = 3 x 1.5 x 1 = 4.5

Answer:

I got 1.885 for the answer.

Maybe they wanted it rounded to just 2 decimal places.

Step-by-step explanation:

Answer:

7 .54/4=1.88

Step-by-step explanation:

  In division we will see the relationship between the dividend, divisor, quotient and remainder. The number which we divide is called the dividend. The number by which we divide is called the divisor. The result obtained is called the quotient. The number left over is called the remainder.

Answer:

66.666%

Step-by-step explanation:

*that is the actual answer*

*i'm not summoning Satan*

Answer:\ Yes, they are color markers.

Step-by-step explanation:

hope this helps!!

The equation of the line that passes through (-1, -6) and (5,0). is y = x - 5.

The equation of a line can be represented in slope intercept form as follows:

y = mx + b

where

Therefore, let's find the equation of the line that passes through  (-1, -6) and (5,0).

m = 0 + 6 / 5 + 1

m = 6 / 6

m = 1

Therefore, let's find the y-intercept using (5, 0)

y = x + b

0 = 5 + b

b = -5

Therefore, the equation is y = x - 5

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Answer:

Step-by-step explanation:

You want to show that the point (4, -4) is on the graph of x² +y² = 32, and you want the tangent and normal lines at that point.

The point is on the curve because when x = 4 and y = -4 the resulting statement is 16 +16 = 32, which is a true statement.

The tangent to a circle is most easily found by first considering the normal. The normal line will be the line through the point on the circle and the center of the circle. Here, the center is (0, 0). The slope of the normal line is ...

  m = y/x = -4/4 = -1

The tangent line's slope is the opposite reciprocal of this:

  m = -1/(-1) = 1

The point-slope form of the equation for the tangent line is ...

  y -k = m(x -h) . . . . . equation for line with slope m through point (h, k)

  y -(-4) = 1(x -4) . . . . . equation for line with slope 1 through point (4, -4)

  x -y = 8 . . . . . . . . . . add 4-y to put in standard form

The equation of the tangent line is x - y = 8.

In the section above, we found the slope of the normal line is -1. We also noted that the normal line goes through the point (0, 0). Then the point-slope form of the normal line is ...

  y -0 = -1(x -0)

  y = -x

The equation of the normal line is y = -x.

__

Additional comment

The normal line can also be written as x + y = 0.

The tangent line can also be written as y = x -8.

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Answer:

.475

Step-by-step explanation:

This is the Ansewer

Answer:

yyy

Step-by-step explanation:

Answer:Canst see

Step-by-step explanation:

sorry my guy

Chay can use 3 bags of mulch per flower bed.

Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.

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Answer:

Let us set up a ratio to find the relationship between side lengths of the two triangles.

25:10

5:2

We can divide both sides by two, but there's no need as the smaller triangle has multiples of two.

So, if XZ is 6, let's place it into the ratio and find what "x" is.

5(3) : 2(3)

15 : 6

x = 15

Answer:

C

Step-by-step explanation:

two steps, three to the left and 5 to the left.

Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

Miranda has $130 of discretionary income per month after all her needs are met with the list above. The answer is option D.

To calculate Miranda's discretionary income, we need to first add up her expenses:

$60 + $85 + $195 + $55 + $575 = $970

Next, we need to calculate her monthly income.

Since Miranda gets paid semi-monthly, we'll need to multiply her paycheck amount by 24 (the number of pay periods in a year) and divide by 12 (the number of months in a year):

$550 x 24 / 12 = $1,100

Now we can calculate her discretionary income by subtracting her expenses from her income:

$1,100 - $970 = $130

Therefore, Miranda has $130 of discretionary income per month after all her needs are met with the list above. The answer is option D.

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Answer:

Step-by-step explanation:

See the attached file .

Answer:

The range of the function is: -∞≤y≤∞.

Consider the provided function.

The range of the function is the set of all values which a function can produce or the set of y values which a function can produce after substitute the possible values of x.

The range of a cubic root function is all real numbers.

Now consider the provided function.

The above function can be written as:

Taking cube on both sides.

The graph of the function is shown in figure 1:

For any value of x we can find different value of y.

Here, the cube root function can process negative values. Since, the function can produce any values, the range of the given function is  -∞≤y≤∞ .

Therefore, the range of the function is: -∞≤y≤∞ (A).

The required perimeter of the triangle with vertices (-9,-6), (-5, 0), and (10,-7) is 42.72 units.

The distance between two points (x₁, y₁) and (x₂, y₂) in the plane can be found using the distance formula,

d = √((x₂- x₁² + (y₂ - y₁)²)

Here

Using the above formula, we can find the length of each side of the triangle:

Length of the first side:

d = √((-5 - (-9))² + (0 - (-6))²)
   = √(4² + 6²)
   = √52 = 7.2

Similarly, the length of the second and third sides:

d =√274 = 16.5

Length of the third side:

d =  √362 = 19.02

Finally, the perimeter of the triangle is the sum of the lengths of its sides, P = 7.2 + 16.5 + 19.02
P = 42.72 units

So, the perimeter of the triangle is approximately 42.72 units.

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Probability that exactly 10 flights arrive on time is 53.33%.

Given that,

The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation.

Recently, Southwest Air had the best rate with 80% of its flights arriving on time.

Total number flights in sample = 15

Probability that exactly 10 flights arrive on time is,

P = 10/15 × 80%

  = 0.5333

  = 53.33%

Hence the required probability is 53.33%.

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The needed number of days at 10 degrees is given as follows:

11 days.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

For this problem, we have that when x decreases by 5, y increases by 2, hence the slope m is given as follows:

m = -2/5

m = -0.4.

Hence the time needed for a temperature of 10 degrees is given as follows:

9 + 2 = 11 days.

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Answer: w = 9 inches

              w + 5 = 14 inches

Step-by-step explanation:

Answer:

2(5)

Step-by-step explanation:

Answer:

I think it’s 5b+5

Step-by-step explanation:

All ways multiple the outside number with whatever is in the parentheses.