The lines below are perpendicular. If the slope of the green line is -3 what is the slope of the red line?

Answer:

3 7/10

Hope that helped!

Answer:

3.7 converted into a fraction is [tex]\frac{37}{10}[/tex]

Step-by-step explanation:

Answer:

C) y + 1 = -2/3(x - 4)

Step-by-step explanation:

The given line passes through the points A (4, -1) and B (-2, 3)

Let's find the slope now.

Slope (m) = (y2 - y1)/(x2 - x1)

= (3 - (-1)) / (-2 - 4)

= (3 + 1)/-6

= 4/-6

Slope (m) = -2/3

The equation of line y - y1 = m (x - x1)

y - (-1) = -2/3(x - 4)

y + 1 = -2/3(x - 4)

Answer:  C) y + 1 = -2/3(x - 4)

Thank you.

Answer:

answer is c)

Step-by-step explanation:

:)

Answer:   $ 22

Step-by-step explanation:

[tex]\boxed{\$ 22}[/tex] of sales tax should be paidon the new price.

Further Explanation:

Calculation:

The given listed price of furniture in the month of May is [tex]\$550.[/tex]

The sales tax is of [tex]3\%[/tex] on the listed price of the furniture.

The price of the month May is increased by [tex]33\dfrac{1}{3}\%.[/tex]

The increased price of the furniture can be obtained as follows,

[tex]\begin{aligned}{\text{Increased price}} &= 550 + \left( {33\frac{1}{3}\%  \times 550} \right)\\&= 550 + \left( {\frac{{33.34}}{{100}} \times 550} \right)\\&= 550 + 0.3333 \times 550\\&= 550 + 183.32\\&= 733.32 \\\end{aligned}[/tex]

The new price of the furniture in dollars is [tex]\$ 733.32.[/tex]

The sales tax is of  [tex]3\%[/tex] on the listed price.

The sales tax on the new price can be obtained as follows,

[tex]\begin{aligned}{\text{Sales tax}}&= 3\% {\text{ of new price}}\\&= \frac{3}{{100}} \times 733.32\\&= \$ 22\\\end{aligned}[/tex]

[tex]\boxed{\$ 22}[/tex] of sales tax should be paid in dollars on the new price.

Learn more:

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Sales Tax

Keywords: May, 2018, store, furniture, listed, price, listed price, $550, sales, sales tax, 3%, tax on listed price, next month, price increased, increased price, month, 33 1/3%, paid, dollars, new price.

Answer:

B= -4.3 or -13/3

Answer:

P (black)  = 2/7

Step-by-step explanation:

We need to know the total amount of marbles.

2 red + 3 green + 2 black = 7 marbles

P ( black) = number of black marbles / total marbles

              = 2 /7

Kevin needs to answer at least 26 questions correctly out of 32 to exceed an 80% success rate, which means he needs to get 2 more questions right than he previously did.

Kevin correctly answered 75% of his 32 test questions, which is 24 questions. To achieve more than an 80% correct rate, Kevin needs to answer more than 80% of 32, which is more than 25.6 questions. Since Kevin can't answer a fraction of a question, he must answer at least 26 questions correctly. To find the number of additional questions he needs to answer correctly to exceed 80% when he has already answered 24 correctly, we subtract 24 from 26, resulting in 2 more questions that Kevin needs to answer correctly to exceed an 80% success rate.

Answer: a = c^(1/2) which is the first answer choice of the list

Work Shown:

a = b^(2/3) ... given equation

a = (c^(3/4))^(2/3) ... replace b with c^(3/4)

a = c^((3/4)*(2/3)) .... multiply exponents

a = c^(1/2) .... Simplify; note the 3's cancel, also 2/4 turns into 1/2

Answer:

$17,600,000

Step-by-step explanation:

First, we need to count the amount of money we pay for each episode. If each episode costs you $200,000 to make, that would be subtracted from your total amount. If there are 150,000 viewers per episode, we can multiply 150,000 by 11, because there are 11 episodes. There are 1,650,000 people watching your show! Since the advertiser pays you $12 per person, we can simply multiply 12 times the number of people. You have earned $19800000. However, we need to subtract how much it took us to make the episodes, so we multiply the number of episodes, 11, by $200,000 and subtract the product from our total amount. Your amount of profit is $17,600,000.

Hope this helps! (Brainliest please!)

Answer:

$99 000

Step-by-step explanation:

(a) No. of episodes

There are 11 episodes per season.

No. = 0.5 × 11

No. = 5.5 episodes

=====

(b) No. of viewers

There are 150 000 viewers per episode

No. = 5.5 × 150 000/1

No. = 825 000 viewers

=====

(c) Payment

The advertiser pays $12 per 100 viewers.

Pay = 825 000 × 12/100

Pay = $99 000

The advertiser will pay you $99 000.

Answer: a is greater and less than -5 AND a is less than 5 (second choice)

Step-by-step explanation: they’re both valid inequalities when leaving the absolute value alone. |a| becomes a.

Answer:

(-1,4)

x=-1,y=4

Step-by-step explanation:

To solve by elimination, add the two equations together to eliminate y.

5x-4y=-21

-2x+4y=18

-----------------

3x = -3

Divide by 3

3x/3 = -3/3

x=-1

Now we still need to find y

-2x + 4y = 18

-2(-1) +4y =18

2+4y =18

Subtract 2 from each side

-2+2 + 4y = 18-2

4y = 16

Divide by 4

4y/4 = 16/4

y =4

Answer:

d.  2x^2    -3x  -8

Step-by-step explanation:

if f(×)=2x^2-5 and

g(×)=3×+3

(f-g)(×)=

I like to line them up vertically

2x^2-5

-(3x+3)

-------------------

Distribute the minus sign

2x^2-5

-3x-3

-------------------

Line up the powers

2x^2+ 0x   -5

           -3x-3

-------------------

2x^2    -3x  -8

Step-by-step explanation:

First , Subtract y from both sides:

−3x = −10 −y

Second, Divide both sides by −3

x = [tex]\frac{-10-y}{3}[/tex]

That's ur answer

Hope this helped u!!!

Good luck!!

Answer:

the desired equation is y = (1/6)x + 3/2.

Step-by-step explanation:

From the graph you can see immediately that the y-intercept is (0,3/2).

This is "b" in y = mx + b.

Focus on point (-3,1).  Substitute -3 for x in y = mx + 3/2 and then 1 for y:

1 = m(-3) + 3/2

Clear this result of fractions by mult. all three terms by 2:

2 = m(-6) + 3.  Solving for m, -6m = 2 - 3, or -6m = -1.  Then m = 1/6, and the

desired equation is y = (1/6)x + 3/2.

Answer:

6

Step-by-step explanation:

logx 27  * log3 x^2

The first step is to convert to base 10

(log 27/logx) * (log x^2/log3)

27 = 3^3 so we can rewrite this

(log 3^3/logx) * (log x^2/log3)

log a^b  = b log a

(3 log 3/logx) * (2log x/log3)

We can cancel the log x in the numerator and denominator and the log 3 in the numerator and denominator

3 * 2

6

Answer:

The mass of aluminum is 26.982 g/mol.

Step-by-step explanation:

The molar mass of an element is the mass in grams of 1 mole of the element. It is determined by taking the atomic weight of the element on the periodic table, and writing it as g/mol.

The mass of aluminum will depend on the quantity and context. Given quantities in chemical compounds range from 26.98g in AlPO4 to 80.94g in Al2S3 (for 1 mol). For specific quantities or other situations, the mass should be calculated proportionally.

The mass of aluminum can be determined using the specific heat and molecular absorption principles. A known quantity of aluminum in a compound like AlPO4 contains 1.000 mol or 26.98 g Al, while an Al2Cl6 molecule contains 1.994 mol or 53.74 g Al. When considering an Al2S3 molecule, it contains 3.00 mol or 80.94 g Al, which is the greatest mass of Al among the examples.

To calculate the mass for a different quantity of aluminum, you need to adjust these figures proportionally. For instance, if you have only half a mol of Al2S3, the mass would not be 80.94g, but half of that. Also, regarding mass of atoms, it is often represented in atomic mass units (amu) or in kilograms.

These examples give a clear idea of how to determine the mass of aluminum in different situations. The specific condition determines which calculation or table to use.

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Answer:

Option D is correct.

Explicit formula for the geometric sequence is, [tex]a_n = 64 \cdot (0.5)^{n-1}[/tex]

Step-by-step explanation:

Geometric sequence states that a sequence of numbers in which the ratio between consecutive terms is constant,

we can write a formula for the nth geometric sequence in the form of:

[tex]a_n = a_1r^{n-1}[/tex] .....[1] where [tex]a_1[/tex] is the first term and  r is the common ratio between successive term.

Given the sequence: 64, 32, 16 , 8......

Here, first term ([tex]a_1[/tex]) = 64.

Common ratio(r) = 0.5

Since,

[tex]\frac{32}{64} =0.5[/tex]

[tex]\frac{16}{32} = 0.5[/tex] ,

[tex]\frac{8}{16} = 0.5[/tex] ......

Substitute the value of a and r in [1] we get;

[tex]a_n = 64 \cdot (0.5)^{n-1}[/tex]

therefore, the explicit formula for the geometric sequence is, [tex]a_n = 64 \cdot (0.5)^{n-1}[/tex]

Answer:

21.

Step-by-step explanation:

As 3/4 of the students play, we just have to multiply 3/4 by the total number of students.

3/4 * 28 = 84/4, or 21. 21 students play a team sport.

Unable to determine the subject of the question due to lack of information.

The arithmetic operations described pertain to the addition and multiplication of numbers and the result of their signs. For instance:

When two positive numbers add or multiply, the result is also positive (e.g., 3 + 2 = 5 and 2 x 3 = 6).

When two negative numbers add or multiply, the result is negative when adding and positive when multiplying (e.g., -4 + (-2) = -6 and (-4) x (-3) = 12).

For numbers with opposite signs, in addition, subtract the smaller number from the larger number and give the result the sign of the larger number, while in multiplication, the result will have a negative sign (e.g., -5 + 3 = -2 and (-3) x 2 = -6).

Regarding quantum numbers, the sets of quantum numbers provide information about the state of an electron in an atom. Each set of numbers must follow specific rules:

The principal quantum number n must be a positive integer.

The azimuthal quantum number l must be an integer ranging from 0 up to n - 1.

The magnetic quantum number mē must range from -l to +l.

The spin quantum number ms must be either +1/2 or -1/2.

Therefore, for the given quantum numbers a. {4, 2, -2, 1} is not an allowed set because the spin quantum number must be either +1/2 or -1/2, not 1. Similarly, set b. {3, 1, 0, -1/2} is a possible set because it follows all the designated rules for quantum numbers.

Answer:

[tex]\dfrac{9}{100}=0.09\ or\ \dfrac{9}{10}=0.9[/tex]

Step-by-step explanation:

[tex]\sqrt{a}=b\iff b^2=a\ for\ a\geq0\ and\ b\geq0\\\\\text{We have}\ \sqrt{81}:\\\\\sqrt{81}=9\ because\ 9^2=81.\ \text{Therefore}\\\\\dfrac{\sqrt{81}}{100}=\dfrac{9}{100}\\\\\text{If is}\ \sqrt{\dfrac{81}{100}},\text{then:}\\\\ \text{Use}\ \sqrt{\dfrac{a}{b}}=\dfrac{\sqrt{a}}{\sqrt{b}}\\\\\sqrt{\dfrac{81}{100}}=\dfrac{\sqrt{81}}{\sqrt{100}}=\dfrac{9}{10}=0.9\\\\\sqrt{81}=9\ because\ 9^2=81\\\sqrt{100}=10\ because\ 10^2=100[/tex]

Answer:

The property for 8 +0 = 8, Additive Identity Property

Answer -7

Step-by-step explanation:

Answer:

1.What was the net price paid by Rowly

by 5/4/2  percentage 137000 cents,138400 cents,141200 cent

2.What was the amount of trade discount

by 5/4/2 percentage 7000 cents,5600 cents,2800 cents

Step-by-step explanation:

list price= $1,400

percentage discounts=5%

4%

and

2%

we have to find net price=?

we will calculate discount one by one

5% of 1400=[tex]\frac{5}{100}[/tex]×1400

5% of 1400=70

amount of trade discount for 5 %=70 dollar

we know that

1 dollar=100 cent

we will convert dollar into cents

7o dollar=70*100=7000 cent

Net amount  paid for 5% discount=1440-70=1370 dollar

1370 dollar=1370*100=137000 cent

4% of 1400=[tex]\frac{4}{100}[/tex]×1400

4% of 1400=56

amount of trade discount for 4 %=56 dollar

56 dollar=56*100=5600 cent

Net amount  paid for 4% discount=1440-56=1384 dollar

1384 dollar=1384*10138400 cent

2% of 1400=[tex]\frac{2}{100}[/tex]×1400

2% of 1400=28

amount of trade discount for 2%=28 dollar

28 dollar=28*100=2800 cent

Net amount  paid for 2% discount=1440-28=1412 dollars

1412 dollar=1412*100=141200 cent

Answer:

The correct answer is 9.

Step-by-step explanation:

Answer:

the answer is C hope this helps

Step-by-step explanation:

Answer:

I believe the answer to your question is p = 33

Step-by-step explanation:

Question: p÷3 - 7.2 = 3.8

Step 1: Add 7.2 to both sides of the equation

p÷3 - 7.2 = 3.8

+7.2           +7.2

p÷3 = 11

Adding 7.2 to both sides cancels out 7.2 on the left and whatever you do unto one side of an equation, you must do to the other (it's just a rule in math)

Step 2: Multiply by 3 on both sides

p÷3 = 11

x 3     x 3

p = 33

Same as last time; multiplying by 3 cancels out 3 on the left and whatever you do unto one side, you must do to the other

Answer:

p=33 is the answer

Step-by-step explanation:

Answer:

The correct answer is $81.28

Step-by-step explanation:

In order to find this, we simply treat the word of as a multiplication symbol.

0.8% of 125% of $8128

Now change the percentages to decimals

0.008 * 1.25 * 8128 = 81.28

Answer:

Step-by-step explanation:

To solve this kind of problem, we must remember that the word "of" means multiplication in math language, and all percentages numbers can be expressed as a fraction where the denominator is 100. Applying all this, we have

[tex]0.8\%\times 125\%\times 8128\\\frac{0.8}{100}\times \frac{125}{100} \times 8128\\ 0.008(1.25)(8128)=81.28[/tex]

Therefore, all those percentages of 8128 results in 81.28

Answer:

D. 45 students

25+4n=115+2n

     -2n         -2n

25+2n=115

-25         -25

2n=90

2n/2=90/2

n=45

The cost for both bus companies A and B is equal when there are 45 students on the trip. This result is achieved by setting the cost equations of the two companies equal to each other and solving for the number of students.

To solve this problem, we set the cost equations for bus companies A and B equal to each other and solve for the number of students.

For company A, the cost is $25 (rental fee) + $4 per student. For company B, the cost is $115 (rental fee) + $2 per student.

So, the equation becomes: $25 + $4 * number of students = $115 + $2 * number of students.

If you rearrange that equation and solve for the student variable by subtracting $2 * students from both sides and subtracting $25 from both sides, you end up with $2 * students = $90.

This means that the number of students, when divided by $90 and $2, is equal to 45. Thus, 45 is the number of students for the bus cost from both companies to be equal. Therefore, the answer is (d) 45 students.

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I would make a table and plug in values for "x" in the equation to find f(x) or y

x = 0

[tex]f(x)=2*(3)^x[/tex]

[tex]f(0)=2*(3)^0[/tex](there is a rule that when the exponent is 0, the result is 1)

[tex]f(0)=2*1[/tex]

f(0) = 2                   (0,2)

x = 1

[tex]f(x)=2*(3)^x[/tex]

[tex]f(1)=2*(3)^1[/tex]

[tex]f(1)=2*3[/tex]

f(1) = 6        (1,6)

You could do more points.

But these two points shows that the y-intercept (the y value when x = 0 or (0,y)) is 2, and that the graph is increasing.

Your answer is B

Graph B matches with the function.

A relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

The given function is  f(x) = 2 ([tex](3)^{x}[/tex])

So, option C is wrong

Again,

So, option D is also wrong.

Now,

So, option A is wrong

Hence option B is correct which also satisfies all the conditions mentioned above.

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Answer:

NO

Step-by-step explanation:

Because that just means they started off with 0

The error in the table is that the "total" value for miles = 40 and gallons = 8 is incorrect.

The error in the given ratio table is that the values in the "total" row are not calculated correctly based on the provided "miles" and "gallon" values.

The values in the "total" row do not match the sum of the "miles" and "gallon" values for each corresponding column.

When miles = 0 and gallons = 0, the total should also be 0.

When miles = 10 and gallons = 2, the total should be 12.

When miles = 20 and gallons = 4, the total should be 24.

When miles = 30 and gallons = 6, the total should be 36.

When miles = 40 and gallons = 8, the total should be 48 (not 49).

When miles = 50 and gallons = 10, the total should be 60.

The error occurs in the row where miles = 40 and gallons = 8. The "total" value is listed as 49 instead of the correct value, which should be 48. So, the error in the table is that the "total" value for miles = 40 and gallons = 8 is incorrect.

for such more question on error

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The absolute value of a number is its distance from zero on the number line, which is always positive or zero. If point D is -7, its absolute value would be 7, matching option D in the given choices.

The absolute value of a number is the distance of that number from zero on the number line, regardless of direction. Therefore, it is always a positive value or zero. In this case, whether point D is -6, 9, 7, or -7, the absolute value would be the positive counterpart of that number.

To find the absolute value of point D, we look for the option that falls in line with the definition of absolute value. For option A (-6), the absolute value is 6; for option B (9), the absolute value remains 9; for option C (7), the absolute value remains 7; and for option D (-7), the absolute value is 7.

Thus, considering point D is given a negative value in the question, the correct answer for the absolute value of point D is 7, which corresponds to choice C if the value of D is 7 or D if the value of D is -7.

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