Find the length of side a.
sorry for the bad quality, camera is broken. the one on top is 13 and the one below is 12.

Answer: [tex]y=-2x+6[/tex]

Step-by-step explanation:

The slope of line l is

[tex]\frac{5-1}{0-2}=-2[/tex]

Since parallel lines have the same slope, the slope of the line we need to find is -2.

Substituting into point-slope form,

[tex]y=-2(x-3)\\\\y=-2x+6[/tex]

The number of years based on the equation is 24 years.

The information is incomplete. An overview will be given. Let the income equation be represented as I = 60 + 10x where x represents the years taken.

Therefore i = 60 + 10x

60 + 10x = 300

10x = 300 - 60

10x = 240

x = 240/10

x = 24

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The value of the expression 9w + 5x when w= 5 and x =9 is 90

9w + 5x

When

w = 5 and x = 9

9w + 5x

= 9(5) + 5(9)

= 45 + 45

= 90

Complete question:

What is the value of the expression below when w = 5 and x = 9? 9w + 5x

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Hello,

[tex] \frac{5}{4 - m} = \frac{ - 3}{2 + m} [/tex]

[tex]5(2 + m) = - 3(4 - m)[/tex]

[tex]10 + 5m = - 12 + 3m[/tex]

[tex]5m - 3m = - 12 - 10[/tex]

[tex]2m = - 22[/tex]

[tex]m = \frac{ - 22}{2} [/tex]

[tex]m = - 11[/tex]

→ Answer B

Variable m cannot be equal to any of the values −2,4 as division by zero is undefined. Multiply both sides of the equation by (m − 4)(m + 2), the lowest common denominator of 4−m,m + 2.

To find the opposite of 2+m, find the opposite of each term.

Use the distributive property to multiply −2−m by 5.

Use the distributive property to multiply m−4 by −3.

Add 3m to both sides.

Combine −5m and 3m to get −2m.

Add 10 to both sides.

Add 12 and 10 to get 2.

Divide both sides by −2.

Divide 22 by −2 to get −11.

Therefore, the correct option is "B".

Answer:

Answer

Answer in decimal

11.8998

The probability of getting someone in the 22-29 age bracket or someone who agreed to respond is 0.96.

The rate of possible outcomes to the total outcomes is said to be the probability.

P(E) = n(E)/n(S)

E - event and S -sample space

we have,

P(A or B) = P(A) + P(B) - P(A and B)

It is given that,

Pollsters are concerned about declining levels of cooperation among persons contacted in surveys.

The data is listed below:

(Age group)                Response - agreed         Response - refused   Total

18-21                            76                                     14                                 90

22-29                          240                                   23                                263

Total                            316                                    37                                353

So, consider the required events

Age group (22-29) as A and someone who agreed to respond as B

Thus, the probabilities are calculated as below:

P(A) = n(A)/n(S) = 263/353

P(B) = n(B)/n(S) = 316/353

P(A and B) = n(A and B)/n(S) = 240/353

Substituting all these in the formula we get,

P(A or B) = P(A) + P(B) - P(A and B)

               = 263/353 + 316/353 - 240/353

               = 339/353

               = 0.96

Therefore, the required probability is 0.96.

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A. 6x²-2x+5, is the quotient of the polynomial.

Answer:

Federal tax

Step-by-step explanation:

It is used for tax returns, given out by federal govt

Answer:

C. federal Tax.

Step-by-step explanation:

/     \

/      \

The range of f(x) = 6x – 2 is [16,46]

According to the statement

we have given the function f(x) = 6x – 2 and the given interval is 3 < x ≤ 8

we know that to find the range of function we have to fill the values in it and then find the range of this function.

So, range is basically a difference between the lowest and the highest value.

Here the given function is f(x) = 6x – 2

when f(3) then

f(3) = 18-2

f(3) = 16.

and when f(8) then

f(8) = 48-2

f(8) = 46.

after put the values we seen that the range of this function is 16,46.

So, The range of f(x) = 6x – 2 is [16,46]

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Answer is :

Step-by-step explanation:

Given function

[tex]\sf f(x) = 6x - 2 [/tex]

We need to the find the range of the function over the interval of 3 < x ≤ 8

When, x is 3

Put x = 3 in the given function,

[tex]\sf f(3) = 6(3) +2 [/tex]

[tex]\sf f(3) = 18 - 2 [/tex]

[tex]\sf f(3) = 16 [/tex]

when, x is 8

Put x in the given function,

[tex]\sf f(8) = 6(8) -2 [/tex]

[tex]\sf f(8) = 48 - 2 [/tex]

[tex]\sf f(8) = 46 [/tex]

Hence range of the function f(x) = 6x – 2 is 16 and 46.

Step-by-step explanation:

we have

2y = 4x - 9

and we want it to look like

...x + ...y = -9

simple.

the y term is already on the left side. we need to move the x term to the same side.

what do we do ? we subtract the term we want to get rid of on one side from both sides (we always have to do changes in both sides of the equation, or we change the whole meaning of the equation).

2y = 4x - 9 | -4x on both sides

-4x + 2y = -9

and we are finished. that's it.

Answer:

-4x + 2y = -9

Step-by-step explanation:

We are given the equation 2y=4x-9, and we want to convert it into standard form.

Standard form is written as ax+by=c, where a, b, and c are free integer coefficients, however a and b cannot be 0.

Notice how in standard form, x and y are on the same side. Currently, x and y are on different sides.

Therefore, we first need to get x and y on the same side.

We can do this by subtracting 4x from both sides.

2y = 4x - 9

-4x   -4x

_____________

-4x + 2y = -9

As indicated by the -9 on the left side, we have solved the question, and are now done.

Hence, the answer is -4x + 2y = -9.

The equation of that is parallel to the graph is y = 1 / 2 x + 3 and the equation perpendicular to the graph is y = -2x + 1

Equation that are parallel have the same slope.

Equation that are perpendicular gives negative 1 when multiplied .

Therefore, using slope intercept equation,

y = mx + b

where

Hence, the equation of the graph can be calculated as follows:

(0, 6)(2, 7)

m = 7 - 6  / 2 - 0 = 1 / 2

Therefore,

y = 1 / 2 x + 6

Therefore, the equation that are parallel to the graph are as follows:

The equation that are perpendicular to the graph is as follows;

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No, just like the average (mean) it is a mathematical quantity that is determined by its mathematical definition and the everyday meaning of “expected” is only a descriptive hint toward what it represents.

What does the expected value of a random variable mean?

Is the expected value always equal to the mean?

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There are 404 numbers between 1 and 2020 inclusive that can be the side of the hypotenuse given that three sides of the right triangle have integral lengths which form an arithmetic sequence. This can be obtained by forming the arithmetic sequence, equating by Pythagoras theorem and finding numbers divisible by the integral.

Let the arithmetic sequence be (a - d), a, (a+d)

Using Pythagoras theorem,

(a - d)² + a² = (a+d)²

a² -2ad + d² + a² = a² + 2ad + d²

2a² - 2ad + d² = a² + 2ad + d²

2a² - a² + d² - d² = 2ad + 2ad

a² = 4ad

a = 4d

Thus hypotenuse will be (a + d) = 4d + d = 5d

Since the value of hypotenuse is 5d, the total numbers divisible by 5 between 1 and 2020 will be the number of possible sides of the hypotenuse.

There are 2020 numbers between 1 and 2020 inclusive

The numbers divisible by 5 = 2020/5 = 404

Hence there are 404 numbers between 1 and 2020 inclusive that can be the side of the hypotenuse given that three sides of the right triangle have integral lengths which form an arithmetic sequence.

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The coordinates of the fourth vertex are (6, -2)

The coordinates of three vertices of a rectangle are given as: (3,7), (-3,5), and (0,-4).

Calculate the slope of the first two coordinates using

m = (y2 - y1)/(x2 - x1)^2

Substitute the known values in the above equation

d = (7 - 5)/(3 + 3)

Let the fourth coordinate be (x, y)

Calculate the slope of the other two coordinates using

m = (y2 - y1)/(x2 - x1)^2

Substitute the known values in the above equation

m = (y + 4)/x

Equate both slope equations

(y + 4)/x = (7 - 5)/(3 + 3)

Simplify the fraction

(y + 4)/x = 1/3

Cross multiply

x = 3y + 12

Let y = -2

So, we have:

x = 3 *-2 + 12

Evaluate

x = 6

Substitute x = 6 and y = -2 in (x, y)

This gives (6, -2)

Hence, the coordinates of the fourth vertex are (6, -2)

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Answer:

Continuous

Step-by-step explanation:

Degrees don't always have to be integers. It can be 32.3 degrees, 32.31 degrees, etc.

The pH value of the apple juice is 3.5, is the correct answer.

The pH value of the ammonia is 8.9,  is the correct answer.

The question seems to be incomplete and complete question is shown below

Tests show that the hydrogen ion concentration of a sample of apple juice is 0.0003 and that of ammonia is 1.3 x 10-9. Find the approximate pH of each liquid using the formula pH = -log (H+), where (H+) is the hydrogen ion concentration The pH value of the apple juice is___ The pH value of ammonia is____

1.pH of apple juice

A. 8.11

B. 1.75

C. 3.5

D. 2.1

2. pH of ammonia

A. 1.1

B. 7.0

C. 5.4

D. 8.9

The pH of a solution is defined as the logarithm of the reciprocal of the hydrogen ion concentration  [H+] of the given solution.

From the formula;

pH = -log[ H⁺ ]

Given the data in the question.

For the Apple juice

hydrogen ion concentration H⁺ = 0.0003

pH of the apple juice pH = ?

pH = -log[ H⁺ ]

pH = -log[ 0.0003 ]

pH = 3.5

The pH value of the apple juice is 3.5

For the ammonia

hydrogen ion concentration H⁺ = 1.3 × 10⁻⁹

pH of the ammonia pH = ?

pH = -log[ H⁺ ]

pH = -log[ 1.3 × 10⁻⁹]

pH = 8.9

The pH value of the ammonia is 8.9

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Answer:

Step-by-step explanation:

Our equation will be 3x+8=20.6

3x=12.6

x=4.2

The equation of a line passing through point (4, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0 is y = -1/2x + 1

A line is the shortest distance between two points. The equation of a line in point-slope form and perpendicular to a line is given as;

y - y1 = -1/m(x-x1)

where

m is the slope

(x1, y1) is the intercept

Given the following

Point = (4, -1)

Line: 2x-y - 7 = 0

Determine the slope

-y = -2x + 7

y= 2x - 7

Slope = 2

Substitute

y+1 = -1/2(x -4)

Write in slope-intercept form

2(y + 1) = -(x - 4)

2y+2 = -x + 4

2y = -x + 2

y = -1/2 + 1

Hence the equation of a line passing through point (4, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0 is y = -1/2x + 1

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Answer:

y = - (1/2) x + 1

Answer:

[tex]l = 5.63 \\ [/tex]

hope this helps

Based on the data set, B. Better measure of center: median. C. Better measure of spread: interquartile range (IQR).

The measure of center should be the median because the mean will be affected by the outliers on the left side.

The IQR will be the best measure of spread because the standard deviation is also affected by the outliers.

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Answer:

XPY = 15π m

Step-by-step explanation:

XPY is 3/4 of the circumference of the circle.  The perimeter of a circle is given by 2πr, with r = 10m.

C = 2πr

C = 2π(10)

C = 20π

3/4 of C is (3/4)(20π)

XPY = 15π m

Answer:

Step-by-step explanation:

You answer

The value of the expression if x = -1/2 is 15

Given the expression below shown;

f(x) = -6(x - 2)

If the value of x is -1/2, hence;

f(-1/2) = -6(-1/2 - 2)

Simplify

f(-1/2) = -6(-5/2)

f(-1/2) = 6 * 5/2

f(-1/2) = 3 * 5 = 15

Hence the value of the expression if x = -1/2 is 15

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The time that a member hold his/her position at the agency is approximately 0.1 year.

Given that twenty members are elected to an agency every two years and there are 100 members on a average overall.

We have to find the time that a member hold his position at the agency.

To calculate the time we have to use multiplication which means product of two numbers.

In 2 years agency elected 20 members. It shows like under:

2 years=20 members

We require 100 members at one end so we will multiply by 5 both sides.

10 years=100 members

Now take 100 to left side of equal to sign.

10/100=1 member

1 member=1/10

=0.1

Hence a member holds 0.1 year at the agency.

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If [tex]b=\frac1a[/tex], then by rationalizing the denominator we can rewrite

[tex]b = \dfrac1{\sqrt3-\sqrt{11}} \times \dfrac{\sqrt3+\sqrt{11}}{\sqrt3+\sqrt{11}} = \dfrac{\sqrt3+\sqrt{11}}{\left(\sqrt3\right)^2-\left(\sqrt{11}\right)^2} = -\dfrac{\sqrt3+\sqrt{11}}8[/tex]

Now,

[tex]a^2 - b^2 = (a-b) (a+b)[/tex]

and

[tex]a - b = \sqrt3 - \sqrt{11} + \dfrac{\sqrt3 + \sqrt{11}}8 = \dfrac{9\sqrt3 - 7\sqrt{11}}8[/tex]

[tex]a + b = \sqrt3 - \sqrt{11} - \dfrac{\sqrt3 + \sqrt{11}}8 = \dfrac{7\sqrt3 - 9\sqrt{11}}8[/tex]

[tex]\implies a^2 - b^2 = \dfrac{\left(9\sqrt3 - 7\sqrt{11}\right) \left(7\sqrt3 - 9\sqrt{11}\right)}{64} = \boxed{\dfrac{441 - 65\sqrt{33}}{32}}[/tex]

The sample that is likely to yield the most biased results is; B) every member of the boys’ basketball team

The sample that is likely to yield the most biased results is; B) every member of the boys’ basketball team.

The reason option B is the most biased is because members of a basketball team are typically taller than other people. We know that taller people generally have larger feet, and larger shoe sizes, than shorter people. Thus, choosing only people from this area would lead to a biased sample.

The missing options are;

A) every tenth boy on the school’s phone list

B) every member of the boys’ basketball team

C) every boy in a randomly selected ninth-, tenth-, eleventh-, and twelfth-grade gym class

D) every fifth boy who walks through the front doors of the school in the morning

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Answer:

B)

Step-by-step explanation:

By applying the definition of difference, we find that the average daily maximum temperature in Syracuse is 26.55 °C higher than the average daily minimum temperature.

Herein we must find the difference bewteen the two temperatures, defined as the subtraction of the minimum temperature from the maximum temperature:

x = 21.85 °C - (- 4.7 °C)

x = 26.55 °C

By applying the definition of difference, we find that the average daily maximum temperature in Syracuse is 26.55 °C higher than the average daily minimum temperature.

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Answer:

3/8

Step-by-step explanation:

Let's use a sample number of 100 miles

If 3/8 was traveled the first day, then 37.5m were traveled on the first day.

Now on Sunday, there are 62.5m remaining in the trip. They travel 3/5 of that, meaning they went 62.5 * 3/5m. This turns out to be 37.5 miles that were traveled on Sunday.

37.5/100 = 3.8

Question 6

1) [tex]\overline{AB} \cong \overline{BD}[/tex], [tex]\overline{CD} \perp \overline{BD}[/tex], O is the midpoint of [tex]\overline{BD}[/tex], [tex]\overline{AB} \cong \overline{CD}[/tex] (given)

2) [tex]\angle ABO, \angle ODC[/tex] are right angles (perpendicular lines form right angles)

3) [tex]\triangle ABO, \triangle CDO[/tex] are right triangles (a triangle with a right angle is a right triangle)

4) [tex]\overline{BO} \cong \overline{OD}[/tex] (a midpoint splits a segment into two congruent parts)

5) [tex]\triangle ABO \cong \triangle CDO[/tex] (LL)

Question 7

1) [tex]\angle ADC, \angle BDC[/tex] are right angles), [tex]\overline{AD} \cong \overline{BD}[/tex]

2) [tex]\overline{CD} \cong \overline{CD}[/tex] (reflexive property)

3) [tex]\triangle CDA, \triangle CDB[/tex] are right triangles (a triangle with a right angle is a right triangle)

4) [tex]\triangle ADC \cong \triangle BDC[/tex] (LL)

5) [tex]\overline{AC} \cong \overline{BC}[/tex] (CPCTC)

Question 8

1) [tex]\overline{CD} \perp \overline{AB}[/tex], point D bisects [tex]\overline{AB}[/tex] (given)

2) [tex]\angle CDA, \angle CDB[/tex] are right angles (perpendicular lines form right angles)

3) [tex]\triangle CDA, \triangle CDB[/tex] are right triangles (a triangle with a right angle is a right triangle)

4) [tex]\overline{AD} \cong \overline{DB}[/tex] (definition of a bisector)

5) [tex]\overline{CD} \cong \overline{CD}[/tex] (reflexive property)

6)  [tex]\triangle ADC \cong \triangle BDC[/tex] (LL)

7) [tex]\angle ACD \cong \angle BCD[/tex] (CPCTC)

The quadratic function g(x) = (x - 5)² + 1 passes through the points (2, 10) and (8, 10) and has a vertex at (5, 1).

In this question we have a graph of a quadratic equation translated to another place of a Cartesian plane, whose form coincides with the vertex form of the equation of the parabola, whose form is:

g(x) = C · (x - h)² - k     (1)

Where:

By direct comparison we notice that (h, k) = (5, 1) and C = 1. Now we proceed to check if the points (x, y) = (2, 10) and (x, y) = (8, 10) belong to the parabola.

x = 2

g(2) = (2 - 5)² + 1

g(2) = 10

x = 8

g(8) = (8 - 5)² + 1

g(8) = 10

The quadratic function g(x) = (x - 5)² + 1 passes through the points (2, 10) and (8, 10) and has a vertex at (5, 1).

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Answer: B

Step-by-step explanation:

looked at the points from the dude above, or below, anyway i hope this helps