Mathematics High School

[tex] {3}^{a} = \frac{1}{9} [/tex]
[tex] {3}^{b} = 9 \sqrt{3} [/tex]

[tex] {3}^{c} = \frac{1}{ \sqrt{3} } [/tex]

Work out the value of a + b + c​

[tex] {3}^{a} = \frac{1}{9} [/tex][tex] {3}^{b} = 9 \sqrt{3} [/tex][tex] {3}^{c} = \frac{1}{ \sqrt{3}

Answers

Answer 1
Answers:
a) -2
b) 5/2
c) -1/2
[tex] {3}^{a} = \frac{1}{9} [/tex][tex] {3}^{b} = 9 \sqrt{3} [/tex][tex] {3}^{c} = \frac{1}{ \sqrt{3}
Answer 2
Answer:

a = -2

b = 5/2

c = -1/2

Step by step explanation:
[tex] {3}^{a} = \frac{1}{9} [/tex][tex] {3}^{b} = 9 \sqrt{3} [/tex][tex] {3}^{c} = \frac{1}{ \sqrt{3}

Related Questions

What ratios are equivalent to 7:3|. 12:9, 14:6, 11:7, 4:2,| PLZ HELP

Answers

Answer:

14:6 is the same as 7:3

Step-by-step explanation:

both variables seven and three are multiplied by the same number (2) just like with division if you do the same thing to both sides it's still equal

Answer:

14:6

Step-by-step explanation:

When 2 is divided by the two numbers, 14 and 6, it will be 7:3.

Find the length of the segment AB if points A and B are the intersection points of the parabolas with equations y=−x2+9 and y=2x2−3 . URGENT PLS HELP

Answers

Answer:

The length is 4

Step-by-step explanation:

Type in the equations into Desmos, and you will find the intersected points in the graph. Then just look at the distance between the 2 points

Answer:

AB=4

Step-by-step explanation:

1. Since you are finding the intersection points of two parabolas:

a. y=-x²+9

b. y=2x²-3

2. You have to set them equal to each other:

2x²-3= - x²+9

2x²+x=9+3

3x²=12

x²=4

This is the crucial part; the absolute value of x is equal to plus minus the square root of 4, since either -2 squared with parentheses or 2 squared is equal to 4.

√x²=±√4

x=±2

or

x=2; x=-2

3. Then you substitute them into each equation. For this step, any sign 2 will work.

a. y=-(2)²+9

y=-4+9

y=5

b. y=2(2)²-3

y=8-3

y=5

4. So our coordinates will be (2,5) and (-2,5). These are the points of intersection.

5. Now we use the distance formula:

[tex]\sqrt{(x₂-x₁)^{2} +(y₂-y₁)^{2} }[/tex]

The subscripts didn't work for this but I mean the square root of x 2 - x 1 in parentheses plus y 2 -y 1.

[tex]\sqrt{(2+2)^{2} +(5-5)^{2} }[/tex]=

√16=

4

The absolute value rule that I mentioned above doesn't work for this because its a distance and you can't have a negative distance.

So AB=4

What is the area of a square in terms of x & y, if one side is 2x-y?

Answers

Answer:  (2x-y)^2

Step-by-step explanation:

The area of a square is given by the formula A = s^2.  

We know that the length of one side is s = 2x-y.  We can substitute this into our area equation:

A = (2x-y)^2

If you need to multiply out the answer:

A = (2x-y)(2x-y)

A = 4x^2-4xy+y^2

A parent volunteer group is raising money by making custom hats to sell at school activities they plan to sell the hats for $11 each hat costs $5 to make they spent $50 advertising

Answers

Answer:

(11 - 5)n - 50

Step-by-step explanation:

Cost of 1 hat = $5Selling price = $11Advertising = $50

Let the number of hats be n. Then money made is

Profit for each hat:

(11-5)

Profit for n hats

(11 - 5)n

Deduct cost of advertisement - 50

(11 - 5)n - 50

Option C is correct

A group of experimenters has 60 wasps in a large container and needs to assign 15 to each of four groups labeled A, B, C, and D for an experiment. They can capture the wasps one at a time when the wasps enter a side chamber in the container that is baited with food. Which of the following methods is most likely to result in four comparable groups of 15 wasps each? (4 points) a- Place each wasp in its own numbered container (numbered from 1−60) in the order that it was caught. Write the numbers from 1 to 60 on slips of paper, put the slips in a jar, and mix them well. Pick 15 numbers out of the jar. Assign the wasps in the containers with those numbers to group A. Pick 15 more numbers for group B. Pick 15 more numbers for group C. Assign the remaining 15 wasps to group D. b- Label the first 15 wasps caught as group A, the second 15 caught as group B, the third 15 caught as group C, and the fourth 15 caught as group D. c- Write the letters A, B, C, and D on separate slips of paper. Pick one of the slips of paper randomly and assign the first 15 wasps caught to that group. Pick another slip and assign the next 15 wasps caught to that group. Pick another slip and assign the next 15 wasps caught to that group. Assign the remaining wasps to the remaining group. d- When each wasp is caught, roll a die. If the die shows an even number, the wasp is labeled A. If the die shows an odd number, the wasp is labeled B. When 15 wasps have been labeled A and 15 have been labeled B, split the remaining 30 wasps into groups C and D. e- When each wasp is caught, roll a die. If the die shows a 1 or 2, the wasp is labeled A. If the die shows a 3 or 4, the wasp is labeled B. If the die shows a 5 or 6, the wasp is labeled C. Repeat this process for 45 wasps. Assign the remaining 15 wasps to group D.

Answers

Answer:

The correct answer is:

a-

Place each wasp in its own numbered container (numbered from 160) in the order that it was caught. Write the numbers from 1 to 60 on slips of paper, put the slips in a jar, and mix them well. Pick 15 numbers out of the jar. Assign the wasps in the containers with those numbers to group A. Pick 15 more numbers for group B. Pick 15 more numbers for group C. Assign the remaining 15 wasps to group D.

Step-by-step explanation:

Each other answer is affected by the order in which wasps were caught, which may be due to a confounding variable.

(I also got this question right on my test :) Please rate this answer to help others. If you believe I am incorrect please rate 1 star so that others will know).

find hundred 2 raise to 3 using suitable identity​

Answers

Answer:

102^3 = (100+2)^3

= (100^3)+(2^3)+{3*(100^2)*2}+(3*100*

{2^2})

= 1000000+8+60000+1200

= 1061208

Can anyone help me?

Joseph Cheyenne is earning an annual salary of $24,895. He has been offered the job in the ad. How much more would he earn per month if he is paid:
a. the minimum?
b. the maximum?

Answers

The maximum would be a because he has 24,895

The correct option will be the option b i.e., the maximum.

It is given that Joseph is earning an annual salary of $24,895. Later he is offered with an ad.

We have to choose the correct option i.e., the minimum or the maximum he would earn per month if he is paid.

What would be the value if x is added to 40 ?

The value will be 40 + x.

Let's assume Joseph is paid $ x for the ad.

Annual salary of Joseph $24,895.

The salary which he will get after the ad offer will be ;

= 24895 + x

So , the annual salary get's increased after the addition of salary of ad offer.

Thus , the maximum Joseph would earn per month and the correct option is option b.

To learn more about algebraic expressions click here ;

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I WILL MARK YOU BRAINLIEST JUST HURRY PLZ

Answers

Answer:

(-4 ,3)

Step-by-step explanation:

Point a lies on -4

Point B lies in between 2 and 4 so lets call it 3

Answer:

ITS BBBBB

Step-by-step

hope this heLPS

What is the missing statement and the missing reason in step 5? A 2-column table with 7 rows. Column 1 is labeled statements with the entries measure of angle A D E = 60 degrees and measure of angle C D F = (3 x + 15) degrees, angle A D E and angle C D F are vertical angles, angle A D E is-congruent-to angle C D F, measure of angle A D E = measure of angle C D F, question mark, 45 = 3 x, and, 15 = x. Column 2 is labeled reasons with the entries given, definition of vertical angles, vertical angles congruent, definition of congruency, question mark, subtractive property, division property. Statement: 60 = 3x + 15; Reason: substitution Statement: x = 15; Reason: subtraction property of equality Statement: 60 = 3x + 15; Reason: transitive property Statement: x = 15; Reason: subtraction and division properties of equality

Answers

Answer:

Statement: 60 = 3x + 15; Reason: substitution

(aka A)

Step-by-step explanation:

The missing statement and the missing reason in step 5 is;

Statement: 60 = 3x + 15;   Reason: substitution

Here,

We have to find the missing statement and missing reason.

What is Substitution method?

Substitution method is algebraic method to solve the linear equations .

Now,

Column 1 and column 2 are labeled here as;

Angle A D E = 60 degrees                ( entries given)

Angle C D F = (3 x + 15) degrees

Angle A D E and Angle C D F are vertical angles.  (definition of vertical angles)

Angle A D E is-congruent-to Angle C D F.  ( definition of congruency)

Measure of angle A D E = Measure of angle C D F.

⇒  60 = 3x + 15      ( substitution )

⇒  45 = 3 x            ( subtractive property )

⇒  15 = x             ( division property )

Hence, The missing statement and the missing reason in step 5 is;

Statement: 60 = 3x + 15;   Reason: substitution

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Nelly and her famliy went on vacation to a beach resort. there are 4 large buildings. each building has 8 floors, with 27 rooms on each floor, One of the buildings is getting new carpet, and will not be available. how many rooms are available for Guests?
1) 548
2) 648
3) 448
4) 628

Answers

Answer:

648 floors.

Step-by-step explanation:

Since there are 4 large buildings and 1 would be unavailable, there would be three left. You multiply. 3 x 8 x 27 = 648 !

I believe the answer is 648

please help!! first answer will get brainiest!! evaluate m*p if m= -150 and p= -15

Answers

Answer:

2,250

Step-by-step explanation:

negative times a negative equals a positive.

Answer:

-150-15= - - =+ so,-150-15=165

-

What is the area of this shape????

Answers

20cm^2 assuming that each box is one cm

Explain why the product of two
negative integers is not negative. Use (−1)(−1)
as an example.

Answers

Because if you want to know -2 *-2
The minus also have there multiplication
As we know (-*-)=(+)
(-*+)=(-)
(+*+)=(+)

Abraham purchased a living room set for $3,742 using an 18-month deferred payment plan with an interest rate of 18.79%. What is the balance after the deferment period if no payments are made?
a.) $4,844.77
b.) $4,949.50
c.) $3,742.00
d.) $4,445.12

Answers

The answer is b I think

Can someone please please pleaseee helppp

Answers

Step-by-step explanation:

Hey there!!!

Here,

The point is, (-3,1).

Using one point formula.

(y-1)= m(x+3)....1st equation.

It has said that it is also perpendicular to the line y = 1/3x + 2 .......2nd equation.

Now, the equation with y = mx + c.

We get slope (m2) = 1/3.

Now,

As per the condition of perpendicular lines,

[tex]m1 \: \times m2 = - 1[/tex]

[tex]m1 \times \frac{1}{3} = - 1[/tex]

Simplifying them we get,

m1 = -3.

Therefore the slope is -3.

Hope it helps...

Some friends played a board game. During the​ game, one unlucky player had to move back 8 spaces 5 turns in a row. Find a number to represent that​ player's movements for those 5 turns.
NEXT
A football team loses 8 yards on each of 4 consecutive plays. Find the total change in yards from where the team started.
The total change is
nothing yards. plsssssssssssssssssssssssssssss help. their i raised the points'

Answers

Answer:

I think that it would be -40

Step-by-step explanation:

I think this because they had to go back 40 spaces because 8 x 5 = 40.

The required number is 40 which represents that player's movements for those 5 turns.

Given that,
Some friends played a board game. During the​ game, one unlucky player had to move back 8 spaces 5 turns in a row.
To determine the number to represent that​ player's movements for those 5 turns.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
For every turn, he has back 8 spaces
To the number of spaces back in 5 turns,

Total spaces back = 5 * 8
                           =  40

Thus, the required number is 40 which represents that player's movements for those 5 turns.

Learn more about arithmetic here:

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please help me?????/!!!!!!!!

Answers

This is so easy okay just make sure if it’s true or not

The product (x + 3y)(3x – y) =

Answers

Answer: 3x²-3y²+8xy

Step-by-step explanation:

When you multiply two factors, you want to use the FOIL method.

First

Outer

Inner

Last

(x+3y)(3x-y)                  [distribute by FOIL]

3x²-xy+9xy-3y²            [combine like terms]

3x²+8xy-3y²                 [rewrite]

3x²-3y²+8xy

Now, we know the product is 3x²-3y²+8xy.

Solve for x: x / 24= 3/8 (the / means its a fraction)

Answers

Answer:

[tex]x=9[/tex]

Step-by-step explanation:

[tex]\frac{x}{24}=\frac{3}{8}[/tex]

Multiply both sides by 24:

[tex]\frac{24x}{24}=\frac{3\times24}{8}[/tex]

[tex]x=\frac{72}{8}[/tex]

[tex]x=9[/tex]

What is 1.8b + 4.5b?

Answers

Answer:

1.8b + 4.5b = 6.3b
6.3B Because 1.8 plus 4.5 = 6.3

what is the answer to -5x-x

Answers

Answer:

- 6x

Step-by-step explanation:

Step 1:

- 5x - x

Answer:

- 6x

Hope This Helps :)

- 6x

Step 1:   - 5x - x

Answer:  - 6x

A skater having a mass of 80 kg is skating with a velocity of 70 m/s when he hits another skater who is not moving. After colliding, the skaters start to drift together with a velocity of 40 m/s. Find the mass of the skater who was not moving.

Answers

Answer:

the mass is 75 kg

Step-by-step explanation:

80 KG

70m/s times forty=2800 divided by 80=35 +40=75

It cost Hudson $28.20 to send 188 text messages. How much would it cost to send 63 text messages? PLZ HELP

Answers

Answer:

9.45

Step-by-step explanation:

28.20/188=.15

.15x63=9.45

find the area of the isosceles triangle.

Answers

Answer:

60 cm

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

(PLZ ANSWER ASAP) Which is an estimate of √41?​

Answers

In the decimal form, 6.4

Answer:

6.4 in decimal form

Step-by-step explanation:

6.4 ×6.4 is nearly 41

Big D decided to lose a few pounds and began
training for a triathlon. At first, he began
walking and eating a cheeseburger but soon
realized that wouldn't work too well. Months
went by and he built up his endurance so that
over the course of one particular week, he ran
seven times as much as he swam and biked
three times as far as he ran. At the end of the
week he realized he went a total of 232 miles!
How many miles did Big D train for each for the
week?

Answers

Answer:

NO

Step-by-step explanation:

What is X? Show your work

Answers

Answer:

x=-3/7

Step-by-step explanation:

multiply both side by 21, move constant to the right and change its sign, collect the terms, divide both side by 7

Rearrange the variables to write the equation, LaTeX: V=\frac{8T}{P}
V
=
8
T
P
, to solve for temperature, T, as a function of volume and pressure, V and P. Write out your work on paper and submit a picture.

Answers

Answer:

T = VP/8

Step-by-step explanation:

Given formula

V = 8T/P

Solving for T

V = 8T/P                    ⇒ multiply both sides by TVP= 8T                      ⇒ divide both sides by 8VP/8 = TT = VP/8                    ⇒ answer

Help please! I will give brainliest!!

Answers

the answer is 160 bc

Which property justifies the statement (x)+(-x)=0

Answers

Answer:

additive inverse property

Step-by-step explanation:

(x)+(-x)=0

The additive inverse property states

a+ -a =0

Answer:

The absolute property.

Step-by-step explanation:

A number plus the opposite of the number will always equal 0.

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