Answers
Answer:
x^0/3^2 (^ means to the power) and 3x^-4. The second and last answer choices are the correct answers.
Step-by-step explanation:
1. Solve each problem by plugging in the 3. For (3/x^2)^0, plug in the 3 in replacement of x. Now it is (3/x^2)^0 (3 divided by x squared to the power of 0). 3 squared is equal to 9, and 3/9 is simplified to 1/3. Now the equation is (1/3)^0 (1/3 to the power of 0). 1/3 to the power of 3 is one because any number that has a power of 0 is equal to 1. For the first answer choice, the answer is 1, and 1 is not less the 1, it is equal to 1, so the choice wouldn't be correct.
2. In the second answer choice, x^0/3^2 (x to the power of 0/3 to the power of 2), you first have to first replace the x with a 3. The new equation would be 3^0/3^2 (3 to the power of 0 divided by 3 to the power of 2). Now we have to figure out what 3^0 (x to the power of 0). Since anything to the power of 0 is equal to 1, 3 to the power of 0 would be 1. 3 to the power of 2 is equal to 3 times 3, which equals 9. 1 divided by 9 is equal to 1/9. 1/9 is less than 1 so answer choice number 2 would be correct.
3. In the third answer choice, 1/6^-x (1 divided by 6 to the -x power), you have to plug in the 3 where the x was. Now the equation would be 1/6^-3 (1 divided by 6 to the power of -3). We have to now figure out what 6^-3 (6 to the power of -3). 6^-3 is 1/216. The equation is now 1/1/216, which equals 216, so answer choice number 3 is not correct since 216 is greater than 1 not less than 1.
4. In the fourth answer choice, 1/x^-3 (1 divided by x to the power of -3), you have to substitute x for 3. Now the equation would be 1/3^-3 (1 divided by 3 to the power of -3). Now we have to solve for 3^-3(3 to the power of -3). 3^-3 is 1/27. Now the equation is 1/1/27, which is the same as 27. 27 is not less than 1, so answer choice number four is incorrect.
5. In the fifth answer choice, 3x^-4 (3x to the power of -4), you have to first substitute x for 3. The new equation is 3 × (3^-4). According to PEMDAS, we have to first multiply 3^-4, not 3 times 3. 3^-4 (3 to the power of -4) is equal to 1/81. 3 times 1/81 is equal to 1/27. 1/27 is less than 1 so the answer is correct.
As a result, the second and last answer choices are the correct answers.
Related Questions
I need helpppp right awayyy please
Nikos finds a toy train set on sale for 20% off at a toy store. The original
price was $35. What is the sale price Nikos must pay for the train set?
Answers
Answer:
The price is now $28.
Step-by-step explanation:
35-20%=28
Two angles are complementary. One angle is twice the size of the other. The bigger angle measures
Answers
Sum of two angles that are complementary = 90°
Let the smaller angle be x .
Then the larger angle = 2x
Let us make an equation to find the measure of both the angles :-
[tex]2x + x = 90[/tex]
[tex]3x = 90[/tex]
[tex]x = \frac{90}{3} [/tex]
[tex]x = 30[/tex]
Which means :-
Measure of the small angle = 30°
Measure of the larger angle = 2 × 30 = 60°
Therefore , the measure of the bigger angle is 60° .
A car is traveling at a steady speed. It travels 1(1/2) miles in 2(1/4) minutes. How far will it travel in 26 minutes? In 1 hour?
Answers
Answer:
17[tex]\frac{1}{3}[/tex]miles
40miles
Step-by-step explanation:
Given parameters;
Distance traveled by the car = 1[tex]\frac{1}{2}[/tex]miles = [tex]\frac{3}{2}[/tex]miles
Time taken = 2[tex]\frac{1}{4}[/tex]minutes = [tex]\frac{9}{4}[/tex]minutes
Unknown:
Distance covered in 26minutes and in 1hr = ?
Solution:
Speed is the rate of change of distance with time.
Speed = [tex]\frac{distance}{time taken}[/tex]
A. Insert the parameters and find the speed;
Speed = [tex]\frac{\frac{3}{2} }{\frac{9}{4} }[/tex] = [tex]\frac{3}{2}[/tex] x [tex]\frac{4}{9}[/tex] = [tex]\frac{2}{3}[/tex]miles/minutes
Distance covered in 26minutes;
Distance = speed x time
Distance = [tex]\frac{2}{3}[/tex] x 26 = [tex]\frac{52}{3}[/tex] miles = 17[tex]\frac{1}{3}[/tex]miles
B. Distance covered in 1hr or 60minutes;
Distance = [tex]\frac{2}{3}[/tex] x 60 = 40miles
find the product 2 1/3 • 3 1/2 write the answer as a mixed number
Answers
Answer:
8 1/6
Step-by-step explanation:
1) x+3= -7
2) 2/3x+1=27
3) 4x-7=2(x+3)+9
Answers
Answer:
1) x = -10
2) x = 39
3) x = 11
Step-by-step explanation:
1) x + 3 = -7
=> x= -7-3
=> x= -10
2) 2/3x + 1 = 27
=> 2/3x = 27 - 1
=> 2x =26 * 3 (26 multiply by 3)
=> x = 78/2
=> x =39
3) 4x-7 = 2 (x+3) +9
=> 4x-7 = 2x+6+9
=> 4x-2x =7+6+9
=> 2x = 22
=> x =22/2
=> x = 11
Determine the slopes from the given information
A line through (3,-3) and (8,4)
Answers
At the ski shack, customers can rent,skis, snowboards, boots, and poles by the day Mrs.Alvarez is renting skis and poles she has a 18$ coupon off
which expression represents the total cost for Mrs.Alvarez to rent skis for s days and poles for p days
Answers
Answer: 48s+12p-18 this is the correct answer i just took the test
The expression that represents the total cost can be written as -
y = as + pb - 18.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that at the ski shack, customers can rent, skis, snowboards, boots, and poles by the day. Mrs. Alvarez is renting skis and poles.
Assuming the cost to rent skis for 1 day is $a and the cost of renting the poles is $b. Then we can write the expression that represents the total cost as -
y = as + pb - 18
Therefore, the expression that represents the total cost can be written as - y = as + pb - 18.
To solve more questions on expression evaluation, visit the link below -
brainly.com/question/1041084
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I will give brainliest !!!!!
An office supply store sells notebooks in packs of 15 and folders in packs of 18. A business wants to have one notebook for each folder. What is the least number of notebooks and folders that the business has to buy?
30
270
3
90
Answers
Answer:
90 notebooks and folders
Step-by-step explanation:
Find the least common multiple (LCM) or 18 and 15!
18 x 5 = 90
15 x 6 = 90
Therefore, your answer is 90
Hope this helps!
can someone please help
Answers
Answer:
I got 19 and I asked my teacher and she said that 19 is correct.
Step-by-step explanation:
Sooo just pick 29 because she said if you do it a different way you get 29.
Hope I helped.
LOTS OF POINTS
Find the Perimeter of the figure below, composed of an isosceles trapezoid and one semicircle. Rounded to the nearest tenths place
Answers
Step-by-step explanation:
diameter of semicircle is 6 so radius is 6/2=3
so perimeter of the circle would be
p=2πr
p=2π*3=6π=18.8
But we have a semicircle so perimeter will be
P=p/2=18.8/2=9.4
The perimeter of the figure now would be
Perimeter=9+8+8+9.4=25+9.4=34 approximately.
The perimeter of the figure below, composed of an isosceles trapezoid and one semicircle is 34.4 units.
What is the perimeter?The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.
From the given figure, equal sides of an isosceles trapezoid is 8 units, and parallel sides are 9 units and 6 units.
Radius of semicircle is 6/2 = 3 units
Now, perimeter = 9+8+8+Circumfrence of a semicircle
= 25+πr
= 25+3.14×3
= 25+9.42
= 34.4
Therefore, the perimeter is 34.4 units.
To learn more about the perimeter visit:
https://brainly.com/question/6465134.
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Sandra rolls 2 fair dice.
What is the probability of both dice showing a different number?
Answers
Answer: 1/36
Step-by-step explanation:
1/6*1/6
Answer:5:6
Step-by-step explanation:
When solving for x, the sine of 33º is used. What other angle and trigonometric function could be used to solve for x? a. cos 57º c. tan 57º b. tan 33º d. cos 33º
hurry
Answers
Answer:
The answer is A.Cos 57.
Step-by-step explanation:
Took the test..
Triangle XYZ has coordinates:X (-5,-2)Y (-7,-6)Z(-3,-6). If thetriangle rotates 90° clockwise, what are the coordinates of Y’?
Answers
Answer:
(-6, 7)
Step-by-step explanation:
please help me...:(:(:(
Answers
Answer:
answers
Step-by-step explanation:
1 - 0.1875
2 - 0.46666666666666....
3 - 6.85
The price of a movie ticket was $4.41 less this week than
last week. This week, the price to buy 5 tickets is $68.27.
Write an equation and solve for the price of a single ticket
last week. Your answer as a decimal should not extend
beyond the hundredths place for money ($0.01) and may
need to be rounded to the nearest cent. $ is not needed as
a unit.
Answers
Answer:
13.65.
Step-by-step explanation:
68.27 divided 5
guys plz solve this 3 question
Answers
1. Becky won $108,000 by coming in first place at a chess tournament, and she has the option of receiving 4 quarterly payments of $27,000, with the first payment in 3 months, or 1 lump-sum payment of $108,000 occurring in 12 months. Once she receives her money, she plans on putting it in a savings account paying simple interest at an annual interest rate of 8.8% calculated quarterly. Becky's financial adviser told her that she'll "lose" money if she takes the lump-sum payment, and Becky wants to calculate how much she’ll "lose". HELP !! I don’t understand ! please show work
Answers
Answer:
Step-by-step explanation:
From the information being provided;
We learnt that Becky pays simple interest at an annual interest rate of 8.8% which is calculated quarterly.
i.e. [tex]\dfrac{8.8\%}{4}= 2.2\%[/tex]
Since the first payment of $27,000 happened in the first three months, therefore, Becky will be able to have the money in the bank for 3 quarters prior to the lump-sum payment gets started.
Thus, the estimate of the amount Becky would earn as interest during this period of time is as follows:
[tex]I =\dfrac{PRT}{100}[/tex]
[tex]I =\dfrac{27000\times 2.2 \times 3}{100}[/tex]
[tex]I =\dfrac{178200}{100}[/tex]
I = $1,782
plz help me i really need this down i will give a 100 if u answer it right
3. 4 ____/_____ 4 _________ 4 _________ 4 = 3
4. 4 _________ 4 _________ 4 _________ 4 = 4
5. 4 _________ 4 _________ 4 _________ 4 = 5
6. 4 _________ 4 _________ 4 _________ 4 = 6
7. 4 _________ 4 _________ 4 _________ 4 = 7
Answers
Answer:
lmk what you mean and i will help you asap
Answer:
I am soso sorry give me like a day and i will have you an answer
Step-by-step explanation:
i don't uderstand
Pls help me i will give brainliest!!!!!!!!!!!!!
Answers
Answer:
x= 2b-a
Step-by-step explanation:
Answer:
x=2b-a
Step-by-step explanation:
The first step is to subtract 2a from both sides to get the equation 2x=4b-2a
The next step is to divide by 2 so you can get x by itself which turns the equation to x=2b-a
Write the following equation in standard form.
y=-2x-7
Answers
Answer:
2x+y=−7
Step-by-step explanation:
Sam said that 105 is 50 because 10 + 10 + 10 + 10 + 10 = 50. Is Sam correct? Explain.
Select the correct answer below and, if necessary, fill in the answer box to complete your choice.
Answers
Answer:
He is wrong
Step-by-step explanation:
105≠ 50
10+10+10+10=50
5(10)= 50
To get 105 you would have to add 10 ten times and then add 5. Adding ten five times will only give you are value of 50.
1+1 answer first to get brainliest
Answers
Answer:
window! but just incase someone out there doesn't know the real answer it's two, I'm looking at you Carol
lol anyways, have a great day!
Answer: 2
Step-by-step explanation:
Please help me with this I have like 10 minutes (SOLVE FOR X)
Answers
Both these angles are vertically opposite angles due to which their angle measures will be equal .
Which means :-
[tex]12x + 9 =13 x + 1[/tex]
[tex]9 = 13x + 1 - 12x[/tex]
[tex]9 = 1x + 1[/tex]
[tex]1x + 1 = 9[/tex]
[tex]x + 1 = 9[/tex]
[tex]x = 9 - 1[/tex]
[tex]x = 8[/tex]
Which means :-
angle 12x + 9 == 12 × 8 + 9
= 96 + 9
= 105°
angle 13x + 1 == 13 × 8 + 1
= 104 + 1
= 105°
Therefore :-
angle 12x + 9 = 105° ( x = 8)
angle 13x + 1 = 105° ( x = 8 )
x - 12
2x
find the perimeter
Answers
Answer:
6x-24
Step-by-step explanation:
First, we must add x-12 to 2x. We will get 3x-12. Now, to get the perimeter, we must multiply that expression by 2. The answer is 6x-24.
Evaluate 3m - m if m= 3
Answers
Answer:
3×3-3=6 I think sorry if it ain't
Suppose that you and a friend are playing cards and decide to make a bet. If your friend draws two black cards in succession from a standard deck of 52 cards replacing the first card, you give him $30. Otherwise, he pays you $20. If the same bet was made 20 times, how much would you expect to win or lose? Round your answer to the nearest cent, if necessary.
Answers
Answer:
I am expected to win $150
Step-by-step explanation:
We need to calculate the probability of drawing 2 black cards with replacement
There are 26 black cards in a deck of cards
The probability of drawing a black card is thus 26/52 = 1/2
So the probability of drawing two black cards in succession with replacement will be 1/2 * 1/2 = 1/4
So the probability of not drawing the two in succession will be 1 - 1/4 = 3/4
so out of twenty trials the number of times the drawing will occur will be 1/4 * 20 = 5 times
The number of times it will not occur will be 20-5 = 15 times
The amount my friend will win will be 5 * 30 = 150
The amount I will win will be 20 * 15 = 300
The amount I expect to win in the deal will be 300-150 = $150
simplify 13 +4(9-7) and solve
Answers
Answer:
21
Step-by-step explanation:
13 + 4(9-7) =
13 + 4(2) =
13 + 8 = 21
Answer:
21 hope this helps
Step-by-step explanation:
What is the end behavior of the graph of q?
Answers
im not good at this...
im sorry if im wrong but i think it may be B
I need help with this PRONTO! I'll give brainliest!
Answers
Samuel's car usually takes about 12.5 gallons of gas to fill it up when it's empty while driving through Canada Samuel notice that each gas station measures its gasoline in litres instead of gallon Samuel found that one is approximately equivalent to 0.264 gallons how many liters would it take to fill Samuels car round to the nearest tenth of a liters
Answers
Answer: 47.4 liters
Step-by-step explanation:
From the question, we are informed that Samuel's car usually takes about 12.5 gallons of gas to fill it up when it's empty and while in Canada, he noticed that one liter is equivalent to 0.264 gallons.
The number of liters it'll take to fill Samuels car will be:
= 12.5/0.264
= 47.4 litres
