For which value of a are the graphs of –4 = 3x + 6y and ax – 8y = 12 parallel?

a = –4
a =
a =
a = 2

Answer:

first remove the brackets

then find the like terms

and work out

volume of the largest sample is 7 times the volume of the smallest sample.

A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum.

given:

The volume of the largest sample is 7/8 gallon.

The volume of smallest sample is is 1/8 gallon.

So,

volume of the largest sample/volume of the smallest sample

=7/8 / 1/8

=7/8 * 8/1

=7

Hence, volume of the largest sample is 7 times the volume of the smallest sample.

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Answer:

8,000,000,000,000,000,000,000,000,000,000,000,000,000,000

Step-by-step explanation:

8(10^42)

Parenthesis is the multipication sign  btw

The equation of line in slope intercept form which passes through (-1, -5) and (4, -2) will be y = [tex]\frac{3}{5}[/tex] x .

What is the slope intercept form of a line ?

The equation of a straight line in the form y = mx + c is known as the slope intercept form, where m denotes the slope and c denotes the y-intercept of a line.

It is given that line is passing through (x1 , y1) and (x2 , y2) that is ,  (-1, -5) and (4, -2).

Let's find out the value of slope first.

We know that , slope (m) = (y2-y1) / (x2-x1)

⇒ m = [(-2-(-5)] / [4 - (-1)]

⇒ m = 3 / 5

Now we will use the slope to find the y-intercept.

∵ y = mx + c

where , c is the y-intercept.

(-2 -(-5)) = (3/5) × (4-(-1)) + c

3 = [ (3/5) × 5 ] + c

3 = 3 + c

c = 0

Now ; we will write the equation in slope intercept form that is ;

y = mx + c

or

y = [tex]\frac{3}{5}[/tex] × x + 0

or

y = [tex]\frac{3}{5}[/tex] x

Therefore , the equation of line in slope intercept form which passes through (-1, -5) and (4, -2) will be y = [tex]\frac{3}{5}[/tex] x .

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Answer:(x+3)(x-5)

Step-by-step explanation:(x^2-5x)+(3x-15)

x(x-5)+3(x-5)

(x+3)(x-5)

Answer:

The graph on the screen is

Step-by-step explanation:

Good luck with your studies!

Answer:

11, 15, 19, 23 = An+4

23,19,15,11=An-4

Answer:

$0.15 per ounce

Step-by-step explanation:

Take the total price and divide by the ounces to get the price per ounce. 3.60/24 equals 0.15

According to the question, the given expression can be simplified with the help of factors.

Given expression = [tex]-2\sqrt{-45}-3\sqrt{125}[/tex]

Do the factors of 45 as well as 125 and take the common things out from the square root:

Required expression = [tex]-2(3)\sqrt{-5}-3(5)\sqrt{-5}= -21i\sqrt{5}[/tex]

In the theory of complex number, [tex]i^{2} = -1[/tex] is already defined.

Hence, the answer for the given expression is [tex]-21i\sqrt{5}[/tex].

What is simplification?

Simplification is the process to make the expression as simple for the calculation. That means, to calculate the solution of a complex expression.

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Answer: $4490

Step-by-step explanation:

30×48=1440

 1440+(50×61)

Answer:

-4/3

Step-by-step explanation:

[tex] \frac{6 - ( - 2)}{ - 2 - 4} = - \frac{8}{6} = - \frac{4}{3} [/tex]

Using the normal distribution, it is found that:

b)

The maximum 39.5% obese has a z-score of 2.11, hence it is 2.11 standard deviations above the mean.

The minimum 23% obese has a z-score of -2.21, hence it is 2.21 standard deviations below the mean.

c) The interval is 23.79% to 39.07%.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

For this problem, the parameters are given as follows:

[tex]\mu = 31.43, \sigma = 3.82[/tex]

The maximum weight is of 39.5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (39.5 - 31.43)/3.82

Z = 2.11.

The maximum 39.5% obese has a z-score of 2.11, hence it is 2.11 standard deviations above the mean.

The maximum weight is of 23, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (23 - 31.43)/3.82

Z = -2.21

The minimum 23% obese has a z-score of -2.21, hence it is 2.21 standard deviations below the mean.

For item c, we consider the Empirical Rule, which states that 95% of the measures are within 2 standard deviations of the mean.

Then:

The interval is 23.79% to 39.07%.

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The inequality that models the situation is:

$50 + $25*x < $175

Where x is the number of lessons that the student can take.

We know that Mr. Bass charges $25 per class plus a fixed fee of $50.

Then if a student takes x classes, the cost is given by the expression:

$50 + $25*x

And we know that this needs to be smaller than $175, then we can write the inequality:

$50 + $25*x < $175

Now we can solve this for x:

$25*x < $175 - $50

$25*x < $125

x < $125/$25

x < 5

So the student needs to take less than 5 classes.

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The floating-point literal that correctly represents the scientific notation value: 2.3 x 10^7 will be A. 2.3e^7.

It should be noted that scientific notation simply means. way that's used to express numbers that are either too large or too small to be written in decimal form.

Therefore, it should be noted that the floating-point literal that correctly represents the scientific notation value: 2.3 x 10^7 will be:

= 2.3 × 20^7

= 2.3 × e^7

= 2.3e7

The correct option is A.

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Which floating-point literal correctly represents the scientific notation value: 2.3 x 10^7?

a. 2.3e^7

b. 2.3 × 10e^7

c. 2.3e × 10^7

d. 2.3 × e^7

Answer:

[tex]2\sqrt{x}[/tex]

Step-by-step explanation:

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}[/tex]

[tex]2x \cdot x^{-\frac{1}{2}} = 2x^{1-\frac{1}{2}} = 2x^{\frac{1}{2}} = 2\sqrt{x}[/tex]

Another way of doing this is to see that
[tex]x^{-\frac{1}{2}} = \frac{1}{\sqrt{x} }[/tex]

So [tex]2x \cdot x^{-\frac{1}{2}} = \frac{2x}{\sqrt{x} } =2\sqrt{x}[/tex]

Answer:

61

Step-by-step explanation:

5•5+36

(5)(5)+36

=25+36

=61

Based on the calculations below, the amount of tuition per year is $36,000 while the amount of the increase in tuition each year is $1,000.

Note: There are two questions in this question as follows:

1. How much is tuition per year?

2. By how much will tuition increase each year?

We can calculate the tuition per year and the increase in the tuition each year as below:

Number of semesters in a year = 2

Tuition in each semester = $18,000

Increase in the tuition per semester = $500

Using the above information, we can proceed as follows:

Tuition per year = Tuition in each semester * Number of semesters in a year = $18,000 = $36,000

Increase in the tuition each year =  Increase in the tuition per semester * Number of semesters in a year = $500 * 2 = $1,000

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Answer:

7 - y

Step-by-step explanation:

The sum of -7 and y: -7 + y

The opposite of the sum: -(-7 + y) = 7 - y

1/3 is the  probability when You roll a die and get a 2. You roll another die and get a 3.

In statistics, what does a probability mean?

when a dice is thrown we get the following out comes

S = { 1,2,3,4,5,6}

n(S) = 6

probability of getting 3 is 1/6 [as there is only one 3]

probability of getting 4 is 1/6 [ there is only one 4]

Using addition theorem of of probability ,

probability of getting 3 or 4 is 1/6 + 1/6 = 2/6 = 1/3

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Answer:

A right triangle

Step-by-step explanation:

The angle of 90 degrees is a right angle

Common ratio= 1/2, Next two term= 1/16, 1/32

This is a geometric sequence since there is a common ratio between each term.

i.e.,

the common ratio (r) = [tex]\frac{1/2}{1}[/tex] = [tex]\frac{1/4}{1/2}[/tex]

                                  = 1/2

We can write the formula for general term of the series as

[tex]a_{n}[/tex] = a[tex](\frac{1}{2})^{n-1}[/tex]

If the further sequence does continue in the same way then the whole infinite sequence indicated is a geometric series.

So we have

[tex]a_{2}[/tex] =(1) [tex](\frac{1}{2} )^{2-1}[/tex]= 1/2

[tex]a_{3}[/tex] = 1× [tex](\frac{1}{2} )^{3-1}[/tex]= 1/4

[tex]a_{4}[/tex] = 1× [tex](\frac{1}{2} )^{4-1}[/tex]= 1/8

[tex]a_{5}[/tex] = 1× [tex](\frac{1}{2} )^{5-1}[/tex]= 1/16

[tex]a_{6}[/tex] = 1× [tex](\frac{1}{2} )^{6-1}[/tex]= 1/32

......

Therefore the sequence is in the same series, and we get the next two terms of the sequence which are 1/16, 1/32

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Answer:

4/31

Step-by-step explanation:

reciprocal=same thing upside- down,

The length of the line segment XY which was bisected at point M is;

1) 32

2) 6

1) From the given line segments, it is clear that XM is congruent to YM since M bisects XY. Thus;

XM = YM and XM + YM = XY

We are given that;

XM = 3x + 1

YM = 8x - 24

Thus;

3x + 1 = 8x - 24

8x - 3x = 1 + 24

5x = 25

x = 25/5

x = 5

Thus;

XM = 3(5) + 1 = 16

YM = 8(5) - 24 = 16

XY = 16 + 16 = 32

2) From the given line segments, it is clear that XM is congruent to YM since M bisects XY. Thus;

XM = YM and XM + YM = XY

We are given that;

XM = 5x + 8

YM = 9x + 12

Thus;

5x + 8 = 9x + 12

9x - 5x = 8 - 12

4x = -4

x = -1

XM = 5(-1) + 8 = 3

YM = 9(-1) + 12 = 3

XY = 6

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The total change in temperature, in degrees Fahrenheit, for the package of food is 50°F

The initial temperature of the package of food as given in the question is -15°F

At noon, the temperature of the package of food was changed to 35° F

We need to find out the total change in temperature which is

Temperature of food package at noon - The initial temperature of the package of food

By substituting the values given in question we get

                       = 35° - (-15° F)

Which is a simple integer problem

                      = 35 - (-15)

                     = 35 + 15

                     =   50 F

Hence, the total change in temperature, in degrees Fahrenheit, for the package of food is 50° F

An integer is the range 0, a wonderful natural number or a poor integer with a minus signal. The poor numbers are the additive inverses of the corresponding advantageous numbers. in the language of arithmetic,

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Answer:

10 tents

Step-by-step explanation:

I don't know if Chetis a person name or not but if it a person name then 76÷8=9.5 because 75+1=76 (including him)

if Chetis is not a person name then 75÷8=9.375

The answer would still be the same which is 10 tents needed.

answer:

x=0 or x=4.732050807568877 or x=1.2679491924311228

The sampling technique Greg used is stratified sampling.

Stratified sampling is used when the population is more heterogeneous. Then we divide the population into subgroups or strata which will be more homogeneous and take samples from each strata. This will ensure the equal representation from each group in population. Stratified sampling helps to reduce the variability of the estimates also.

Here the population of current season ticket holders consist both for men's basketball games and women's basketball games. So Greg considered both as separate subgroups of the population and collected random samples of size 100 from each group. This technique for sampling is known as stratified sampling.

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The inequality given by (x/3) + 5 ≥ 1/6 has the solution x ≥ -29/2 or [-29/2 , +∞).

Inequality refers to the relationship between two non-equal expressions. It can be denoted by > for greater than, < for less than, >/= for greater than and equal to, and </= for less than and equal to.

To solve an inequality is to find the values of x such that when we substitute that number for x we have a true statement.

Given the inequality (x/3) + 5 ≥ 1/6, subtract 5 from both sides.

(x/3) + 5 - 5 ≥ 1/6 - 5

x/3 ≥ -29/6

Multiply both sides by 3.

3(x/3) ≥ 3(-29/6)

x ≥ -29/2

To check, let x = -29/2

x = -29/2 ≥ -29/2

Substitute this value to the inequality.

(x/3) + 5 ≥ 1/6

(-29/2)/3 + 5 ≥ 1/6

1/6 ≥ 1/6

let x = -14,

x = -14 ≥ -29/2

Substitute this value to the inequality.

(x/3) + 5 ≥ 1/6

-14/3 + 5 ≥ 1/6

1/3 ≥ 1/6

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A cell phone tower is 173.21 feet high.

Consider the following diagram

Let AB be the height of tower, C be the position of Jen.

Jen walks 50 feet from the tower, and finds the angle of elevation from her position to the top of the tower to be 60°

An angle ACB be an angle of elevation.

⇒ ∠ACB = 60°

And AC = 50 ft

We need to find the distance AB.

Consider tangent of angle ACB.

⇒ tan(60) = AB / BC

⇒ 1.7321 = AB / 100

⇒ AB = 1.7321 × 100

⇒ AB = 173.2 feet

Therefore, a cell phone tower is 173.21 feet high.

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The two terms of each arithmetic sequence [tex]a_{4}[/tex] = 8 [tex]a_{7}[/tex] = 20 are d = 4 and a = -4.

[tex]a_{4}[/tex] = 8

8 = a +3d.............1

[tex]a_{7}[/tex] = 20

20 = a + 6d...........2

equating equation 1 and 2

8 = a +3d

20 = a + 6d

d = 12/3

d = 4...............3

from equation 3

8 = a + 12

a = -4

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence. For instance, the common difference in the arithmetic series 3, 9, 15, 21, and 27 is 6.

Arithmetic sequences are sequences containing these patterns. The distance between succeeding terms in an arithmetic series is always the same. The difference between consecutive words is always two, hence the sequence 3, 5, 7, 9... is arithmetic.

An explicit formula that states a = d (n - 1) + c, where d is the common difference between succeeding words, and c = a1, can be used to establish an arithmetic sequence.

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