Given A and B are vertical angles with m /A = 20x + 10 and m/B = 30x - 10.
What is x?

The equation 8(x+2) can be expressed using the distributive property as 8x + 16.

The distributive property can be described as the as the multiplication system of solving a particular expressions easily through the process of distributing another number  within the given  brackets.

The expression that was given as  8(x+2) , if it so be solved using the distributive property the we will have 8x + 16 because this result means that it has been shared in to part,  because the multiplication operation has been performed on the given expression.

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Answer:

48[tex]units^{2}[/tex]

Step-by-step explanation:

Answer:

221 760 inches

Step-by-step explanation:

So, 3.5miles * 63360= 221760 inches.

Formula: multiply the value in miles by the conversation factor '63360'.

The lengths 8 cm, 14 cm, 15 cm can form a triangle

Given 8 cm, 14 cm, 15 cm

These can form a triangle if the sum of any two sides of the triangle is greater than the third side.

8 + 14 > 15

14 + 15 > 8

8 + 15 > 14

Since all the above are true, we conclude that they can form a triangle

The answer to your question is s. sqrt (316.9) = 17.8 when you take the square root of that number. As a result, the correct response is 17.8.

This is further explained below.

Generally, Because you need to calculate the sample standard deviation to answer the question, use the following formula:

[tex]s = \sqrt {{ \sum of x - \bar x}{(n - 1} }[/tex]

There are 9 numbers, there, so n - 1 = 8

find the mean

[tex]\bar x[/tex]: 15 + 42 + 53 + . . . + 47 = 227. 227 / 9

x= 25.2

After that, deduct one from each number and then square the output, as seen here:

(15 - 25.2) = 104.0 (42 - 25.2)²

= 282.2 (53 - 25.2)²

= 772.8

After that, total up all of those values. The response to this, using this illustration as an example, is

[tex]x=\frac{ 2,535.2}{ 8}[/tex]

x= 316.9.

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The area of a triangle bounded by the region will be 11.95 sq. units.

In terms of geometry, a triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

It is given that,

y = f(x) = 7- (4/5)x

Slope,m = -4/5

The slope of the perpendicular lines is,

[tex]\rm m_p = \frac{-1}{\dfrac{-4}{5}} \\\\ m_ p = \dfrc{5}{4}[/tex]

The equation of the perpendicular line passing through the origin is

[tex]\rm y = \frac{5}{4} x[/tex]

The equation can be written as,

[tex]\rm \frac{5}{4} x = 7 - \frac{4}{5} x \\\\ 25 x = 140 - 16 x \\\\ 41x = 140 \\\\ x = \dfrac{140}{41} \\\\ y = \frac{175}{41}[/tex]

As a result, the y-intercept of the line is,

[tex]\rm y =7- \dfrac{4}{5}x \\\\ y= 7[/tex]

The triangle is bounded by the points (0,0), (0,7), and (140/41, 175/41)

The area of the triangle is,

[tex]\rm A= \frac{1}{2} \times 7 \times \dfrac{140}{141} \\\\ A = 11.95 \ sq. unit[/tex]

Thus, the area of a triangle bounded by the region will be 11.95 sq. unit.

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Answer: 950

Step-by-step explanation:

$477.50 - $240.00 = 237.50

$237.50 / $0.25 = 950

a) The 90% confidence interval to estimate the percentage of yellow peas is (23.09%, 29.03%.)

b) Based on the confidence interval, the results of the experiment do not appear to contradict the expectation that 25% of the offspring peas would be yellow.

Given:

Confidence level,c = 90% = 0.90

Number of successes, x = 153

Sample size,n = 434 + 153 = 587

a) The sample proportion is the number of successes divided by the sample size is,

p = x/n

p = 153/587

p ≅ 0.2606

For confidence level 1 - α = 0.90, determine [tex]z_{\alpha /2} = z_{0.05}[/tex] utilizing the normal probability table in the appendix

[tex]z_{\alpha /2} = 1.64[/tex]

The margin of error is calculated as:

[tex]E = z_{\alpha /2} \sqrt{\frac{p(1-p)}{n} }[/tex]

[tex]E = 1.64\sqrt{\frac{0.2606(1 -0.2606)}{587} }[/tex]

E ≅ 0.0297

Therefore, the boundaries of the confidence interval are:

p - E = 0.2606 - 0.0297 = 0.2309 = 23.09%

p + E = 0.2606 + 0.0297 = 0.2903 = 29.03%

We are 90% confident that the true percentage of yellow peas is between 23.09% and 29.03%.

b) As 25% is between 23.09% and 29.03%, and 25% of the offspring are expected to be yellow peas and thus the results do not contradict expectations.

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The logarithmic function log ( x³ y² ) when expressed in terms of log x and log y is 3 log ( x ) + 2 log( y).

The opposite of exponentiation is the logarithm. In other words, the exponent to which a fixed number, the base a, must be raised in order to create a specific number x, is represented by the logarithm of that number.

Consider the logarithmic function log x³ y⁴

Using the logarithmic formula,

log ( a b ) = log  (a) + log (b)

We have,

log( x³ y² )  = log ( x³ ) + log( y² )

By applying the logarithmic property:

log ( xⁿ ) = n log x

We have,

log x³ y² = log ( x³ ) + log( y² )

log x³ y² =  3 log ( x ) + 2 log( y)

Therefore, the function log ( x³ y² ) in terms of log x and log y is 3 log ( x ) + 2 log( y).

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[tex] \frac{10}{4} \times \frac{23}{6} \\ = \frac{230}{24} \\ = \frac{115}{12} \\ = 9 \frac{7}{12} [/tex]

ATTACHED IS THE SOLUTION

it is vital that we first find the gradient/slope between the points .

⇒[tex]m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} } \\m=\frac{2-(-2)}{0-2} \\m=\frac{4}{-2} \\m=-2[/tex]

The general equation of a straight line is given by y=mx+c I will use the points (0,2) to find the value of y since the other variables are found already.

[tex]2=-2(0)+c\\\\c=2[/tex]

⇒This tells us that the equation of the line is y=-2x+2

Answer:

no

Step-by-step explanation:

Generally you can't really compare two functions with a different denomination, and you want to multiply the fractions by some fraction: [tex]\frac{a}{a}[/tex] which simplifies to one so we're not changing the value of the fraction at all but it helps so we have the same denominator.

You'll notice we can multiply 4 by 2 to get 8, which would give us the same denominator as 8.

[tex]\frac{23}{4}*\frac{2}{2}=\frac{46}{8}[/tex]

Now it's much easier to compare: [tex]\frac{47}{8}\text{ and }\frac{46}{8}[/tex] and here all we have to compare is the numerators, and obviously 47 is greater than 46 so the 47/8 is greater than the 23/4. This means 47/8 is not less than 23/4

Answer:

-5

Step-by-step explanation:

Answer: -5

Step-by-step explanation: -35 divided by 7 is -5

The most appropriate choice for slope of a line will be given by-

Slope of the line = [tex]\frac{-19}{12}[/tex]

What is slope of a line?

At first it is important to know about line.

Line is a geometrical object that has only length but no breadth and no height.

Slope of a line is the tangent of the angle which the line makes with the positive direction of x axis

If [tex]\theta\\[/tex]  is the angle which the line makes with the positive direction of x axis, then slope of the line is given by

m = [tex]tan\theta[/tex]

If the line passes through ([tex]x_1,y_1[/tex]) and ([tex]x_2, y_2[/tex]) , then

slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Here,

[tex]x_1 = -3, y_1 = 9. x_2 = 9, y_2 = -10[/tex]

Slope = [tex]\frac{-10 - 9}{9 - (-3))}[/tex]

         = [tex]\frac{-19}{12}[/tex]

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Answer:

-2/3

Step-by-step explanation:

I graphed it

Answer: [tex]72z^{2} +55z-7[/tex]

Step-by-step explanation:

We multiply each component with each other:

8z * 9z = 72z^2

8z * -1 = -8z

9z * 7 = 63z

7 * -1 = -7

We then add it all together, 63z + -8z = 55z and get

[tex]72z^{2} +55z-7[/tex]

Answer:

Step-by-step explanation:

it would be 42,32 i know

Answer:

There is a proportion of 0.94% cities with average city temperatures lower than that of Kabul

Step-by-step explanation:

In this question, we are to calculate the proportion of average city temperatures lower than that of Kabul.

Firstly, we shall calculate the z score

Mathematically;

z = (value - mean)/standard deviation = 15 - 19.7/2 = -4.7/2 = -2.35

so we are to calculate the probability of; P(z< -2.35) = 0.0094

This means there is a proportion of 0.94% cities with average city temperatures lower than that of Kabul

Answer:b=6

Step-by-step explanation:

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2 + b^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{4}\\ b=\stackrel{opposite}{2}\\ \end{cases} \\\\\\ c=\sqrt{4^2 + 2^2}\implies c=\sqrt{16 + 4}\implies c=\sqrt{20}[/tex]

The equation written in exponential form is (a) 2³ = 8

A symbol used to denote the action of raising to a power that is written above and to the right of a mathematical phrase.

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Given equation is

㏒₂ 8 = 3

㏒ₐx = b

x = aᵇ

㏒₂8 = 3

8 = 2³

Hence, (a) 2³ = 8

Therefore, the equation written in exponential form is (a) 2³ = 8.

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The correct answer is option d, output = 6 - input using coordinate geometry.

In geometry, a coordinate system is a method for determining how to place points or other geometrical objects on a manifold, such as Euclidean space, uniquely using one or more numbers, or coordinates.

From the graph, we can see that the coordinates have the values

For x = 1, y = 5

For x = 2, y = 4

For x = 3, y = 3

For x = 4, y = 2

Hence, we can conclude that the output (y) = 6 - input (x)

The correct option is (d) output = 6 - input.

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To rotate the figure 90 degrees clockwise about a point, every point (x, y) will rotate to (y, -x):

The vertices of the triangle have the following coordinates:

Applying the transformation rule, we have the new coordinates to be:

The transformed image is shown below (the black triangle):

We are looking for values of x that will not make the equation undefined .Obviously the function has restrictions we have to make sure that x-7 is always ≥0 because it is under a square root

[tex]x-7\geq 0\\x\geq 7[/tex]

The domain of the function is all the real numbers greater or equal to  7 .

x≥7 ε R

Answer:

[tex]y=-\frac{4}{3}x+3[/tex]

Answer:

18 more tickets

Step-by-step explanation:

What we know:

We know that 65 Tickets is 1 Prize.

We know we have 1,282 tickets.

So if 65 tickets is one prize

then to figure out how many for twenty then we:

65 x 20 = 1300

Now to figure out how many more she needs at the least we:

1300 - 1282 = 18

So for 1 more prize she needs 18 more tickets.

The measure of angles 1, 2, and 3 in exercise 11. are 100°, 80°, and 100°.

The measure of angles 1, 2, and 3 in exercise 12. are 47°, 133°, and 47°.

The measure of angles 1, 2, and 3 in exercise 13. are 80°, 80°, and 100°.

The measure of angles 1, 2, and 3 in exercise 14. are 94°, 86°, and 94°.

For 11. part:

Considering a transversal p that cuts two parallel lines l and m,

Each pair of internal angles on the same side of a transversal that intersects two parallel lines are supplementary.

m∠1 + 80° = 180°

m∠1 = 180° - 80°

m∠1 = 100°

Similarly, m∠1 + m∠2 = 180°

⇒ 100° + m∠2 = 180°

⇒m∠2 = 180° - 100°

⇒m∠2 = 80°

and also, m∠2 + m∠3 = 180°

⇒ 80° + m∠3 = 180°

⇒m∠3 = 180° - 80°

⇒m∠3 = 100°

Therefore, m∠1 = 100°, m∠2 = 80° and m∠3 = 100°.

For 12. part:

m∠3 + 133° = 180°(interior angles are supplementary)

m∠3 =  180° - 133°

⇒m∠3 = 47°

m∠2 = 133°(alternate interior angles)

The angle vertically opposite to 133° would also be 133°.

So, 133° + m∠1 = 180°( interior angles are supplementary)

m∠1 = 47°

Therefore, m∠1 = 47°, m∠2 = 133° and m∠3 = 47°.

For 13. part:

m∠3 = 100° (vertically opposite angle)

Let's assume the angle adjacent to ∠3 is x.

m∠3 + m ∠x = 180° (Linear pair property)

100° + m ∠x = 180°

m ∠x = 180° - 100°

m ∠x = 80°

Therefore, m∠1 = m∠2 = m ∠x  = 80°(Corresponding angles are equal.)

For 14. part:

m∠1 + 86° = 180°(co-interior angles are supplementary)

m∠1 = 180°- 86° = 94°

The angle vertically opposite to m∠1 is also equal to 94°.

94° + m∠1 = 180°(co-interior angles are supplementary)

m∠2 = 86°

Similarly, the angle vertically opposite to m∠2 is also equal to 86°.

86° + m∠3 = 180°(co-interior angles are supplementary)

m∠3 = 94°

Therefore, m∠1 = 94°, m∠2 = 86° and m∠3 = 94°.

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Answer:

75%

Step-by-step explanation:

If the ratio of red:blue is 3:1, then there are 4 (some multiple of 4) in all.

The ratio of red:total is 3:4

3/4 is .75, times by 100 to convert to a percent.

.75 × 100 is 75%

Answer:

The best estimate for the correlation coefficient is .85.