PLEASE HELP
show all work
Answer:
[tex]8i^{22}[/tex] - 1
Explanation:
It's actually quite easy to tell which simplifies to a real number without working out the problem.
[tex]i^{2}[/tex] = -1
Any imaginary number with an even exponent is simplified to a real number. If it has an odd exponent, it cannot be simplified to a real number.
Some tips for fully solving the expression:
If the exponent is divisible by 4, then don't change the sign of the coefficient. You're just multiplying it by 1 because [tex]i^{4}[/tex] = [tex](i^{2})^{2}[/tex] = [tex](-1)^{2}[/tex] = 1
If the exponent is divisible by 2, change the sign of the coefficient because you're multiplying it by -1.
4) Anna uses 4 gallons of gas to drive 160 miles on the
highway. If she travels at the same rate, how many miles can she drive on 7 gallons of gas
A. 40 miles
B. 80 miles
C. 200 miles
D. 280 miles
Answer:
D. 280miles
*Step by step explanation*
miles= 160miles × 7gallons / 4 gallons
miles = 280 miles
Enrico translates figure Q to get figure Q’. Then he rotates figure Q’ to get figure Q’. Explain why figure Q and figure Q’’ are congruent
Solve |7x+42| =14x. Identify the solution and an extraneous solution.
Answer:
x = 140.3333333........
Step-by-step explanation:
17x+421 = 14x
move the numbers with x's to the left and 421 to the right so it makes
17x then 14x is positive but moved to the opposite side it becomes negative.
Then 421 is positive on the left so moved to the right makes it negative.
Which is 17x-14x=(-421)
then you do 17x mines 14x which is 3x
3x = (-421)
Now your goal is to isolate your variable x. So divide both sides by 3 because x is multiplied by three you need to do the opposite.
x = 140.3333333..........
Answer:
Solution: x = 6;
Extraneous Solution: x = - 2
Step-by-step explanation:
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.
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).
Can you step by step solve 20x+12=4x-16
Answer:
x = - [tex]\frac{7}{4}[/tex]
Step-by-step explanation:
Given
20x + 12 = 4x - 16 ( subtract 4x from both sides )
16x + 12 = - 16 ( subtract 12 from both sides )
16x = - 28 ( divide both sides by 16 )
x = [tex]\frac{-28}{16}[/tex] = - [tex]\frac{7}{4}[/tex] [ = - 1.75 ]
In a community garden shown to the right you want to plan a fence in a vegetable garden that is adjacent to your friends Garden you have at most 44 ft of fence and the fence must around all four sides of your garden what is the possible lengths of your garden
Answer:
Length of the garden = 13 ft
Width of the garden = 9 ft
Step-by-step explanation:
Let the length of my new garden = l ft
It's given in the question,
width of the garden = 9 ft
Formula to calculate the perimeter of a rectangle is,
P = 2(L + W)
Where L = length of the garden
W = width of the garden
P = perimeter of the garden
Length of the fence = 44 ft
By substituting values in the formula,
44 = 2(l + 9)
22 = l + 9
l = 22 - 9
l = 13 ft
Therefore, length of my new garden = 13 ft
Width of the garden = 9 ft
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
Answer:
(11 - 5)n - 50Step-by-step explanation:
Cost of 1 hat = $5Selling price = $11Advertising = $50Let the number of hats be n. Then money made is
Profit for each hat:
(11-5)Profit for n hats
(11 - 5)nDeduct cost of advertisement - 50
(11 - 5)n - 50Option C is correct
A golf player is trying to make a hole-in-one on the miniature golf green shown. 19.2 ft12.8 ft Imagine that a coordinate grid is placed over the golf green. The golf ball is at (4, 3.2) and the hole is at (15.2, 3.2). The player is going to bank the ball off the side wall of the green at (9.6, 12.8). Part 1 out of 2 Enter an equation for the path of the ball. Enter the parameter a as a fraction in lowest terms. y =
Answer:
- 12/7|x-9.6|+12.8
Step-by-step explanation:
help!!!..
Gina rented shoes, bowled 3 games, and bought 1 order of
nachos. She used a coupon for half off the price of her bowling
games. What was Gina's total cost?
Answer:
It would be $ 8.25 without the tax.
Step-by-step explanation:
If you add $2.75(the cost for bowling shoes) then multiply the cost for one bowling game by 3, since she played 3 games, then add that to the cost of shoes, then add the cost for the food, which gives your $12.00. Then take 50% of the price of bowling games. Which is $3.75. Then replace that with the original price of the 3 bowling games! Which gets you.....$8.2 for the total cost without tax
Which property justifies the statement (x)+(-x)=0
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.
A racecar driver holds the record for the fastest speed of 212.809 miles per hour.
Part A
What is 212.809 rounded to the nearest hundredth? Enter your answer in the box.
Part B
Which explains how you round 212.809 to the nearest hundredth?
A.
Since the digit in the hundredths place is less than 5, keep the digit in the hundredths place. Then drop the digit in the thousandths place.
B.
Since the digit in the hundredths place is less than 5, keep the digit in the tenths place. Then drop the digit in the hundredths and thousandths places.
C.
Since the digit in the thousandths place is greater than or equal to 5, increase the digit in the hundredths place by 1. Then drop the digit in the thousandths place.
D.
Since the digit in the thousandths place is greater than or equal to 5, keep the digit in the hundredths place. Then drop the digit in the thousandths place.
Answer: 212.81
C. Since the digit in the thousandths place is greater than or equal to 5, increase the digit in the hundredths place by 1. Then drop the digit in the thousandths place
Step-by-step explanation:
What is 212.809 rounded to the nearest hundredth?
When we want to round off 212.809 to the nearest hundredth, the main thing that we will need to consider is for us to look at the thousandths value that is contained in the number of 212.809, and this is is 9.
Since 9 is more than 5, iteams that we will have to add 1 to the number at the hundredth place. This.meane we will add 1 to 0 which will give us 1 and we them drop the digit in the thousandths place. Therefore,
212.809 = 212.81 to nearest hundredths
Please answer both I'm really struggling with my homework
Answer:
[tex]D. \frac{1}{64}[/tex] C. 16Step-by-step explanation:
Second question:
[tex]2^{3}[/tex] = 2 × 2 × 2 = 8Plug 8 in: 6 ÷ 3 × 86 ÷ 3 = 2Plug 2 in: 2 × 8 = 16I hope this helps!
It cost Hudson $28.20 to send 188 text messages. How much would it cost to send 63 text messages? PLZ HELP
Answer:
9.45
Step-by-step explanation:
28.20/188=.15
.15x63=9.45
-5x - 16 + 3x = -23 - 9x
???Anyone I need help
Answer:
x=−1
Step-by-step explanation:
Let's solve your equation step-by-step.
−5x−16+3x=−23−9x
Step 1: Simplify both sides of the equation.
−5x−16+3x=−23−9x
−5x+−16+3x=−23+−9x
(−5x+3x)+(−16)=−9x−23(Combine Like Terms)
−2x+−16=−9x−23
−2x−16=−9x−23
Step 2: Add 9x to both sides.
−2x−16+9x=−9x−23+9x
7x−16=−23
Step 3: Add 16 to both sides.
7x−16+16=−23+16
7x=−7
Step 4: Divide both sides by 7.
7x
7
=
−7
7
x=−1
Answer:
x=−1
Answer: x= -1
Step-by-step explanation:
What is the area of this shape????
20cm^2 assuming that each box is one cm
which figures do not have lateral area?
What are some ratios that are not equivalent to 6/9 I need this before 7 pm pacif time!
Answer:
1:8
33:8
1:1
88:99
6:7
235:9
If h(x) = x2 + 3x +2. what does f(2) equal?
13
10
12
11
Answer:
Step-by-step explanation:
h(2) = (2)^2 + 3(2) + 2 = 4 + 6 + 2 = 12
12 is the answer
.9274 is it rational, whole, or integer
Answer:
rational
Step-by-step explanation:
Answer:
.9274 is a integer
Step-by-step explanation:
rational numbers have to be able to be written as a fraction.
.9274 is not a whole number.
therefore it is an integer.
what is the answer to -5x-x
Answer:
- 6x
Step-by-step explanation:
Step 1:
- 5x - x
Answer:
- 6x
Hope This Helps :)
- 6x
Step 1: - 5x - x
Answer: - 6x
Solve4(a+4) - 2 = 34
Answer:
a = 5
Step-by-step explanation:
You have to isolate the variable by dividing each side by factors that don't contain a variable.
Answer or i can giv u the ansur if you want it
Step-by-step explanation:
Find the sum. (-7/2z+4)+(1/5z-15)
Answer:
-(33+110z)/10z
Step-by-step explanation:
(-7/2z +4)+(1/5z -15)
from BODMAS, solving the one in the bracket
First(-7/2z +4)+(1/5z -15)
Find the Lcm
[-7/2z +4] +[1/5z -15]
(7+8z)/2z +(1-75z)/5z
find the Lcm which is 10z
[5(-7+8z) + 2(1-75z)]/10z
[(-35+40z)+(2-150z)]10z
(-35+2+40z-150z)/10z
(-33-110z)/10z
-(33+110z)/10z
The sum of the expression {(-7/2z) + 4} + (1/5z) - 15} is - 6/5z - 11.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
The sum of {(-7/2z) + 4} + (1/5z) - 15}.
= (-7/2z) + (1/5z) + 4 - 15.
= (-14 + 2)/10z - 11.
= - 12/10z - 11. (LCM of 2z and 5z is 10z)
= - 6/5z - 11.
learn more about numerical expressions here :
https://brainly.com/question/29199574
#SPJ2
Please help me with this question
Answer: C
Step-by-step explanation:
To find f(g(x)), you plug in g(x) into f(x).
[tex]f(g(x))=\sqrt{(8x-12)+8}[/tex] [combine like terms]
[tex]f(g(x))=\sqrt{8x-4}[/tex] [factor]
[tex]f(g(x))=\sqrt{4(2x-1)}[/tex] [square root of 4]
[tex]f(g(x))=2\sqrt{2x-1}[/tex]
Now, we know that the answer is C.
find the area of the isosceles triangle.
Answer:
60 cm
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
Lisa is decorating the outside edge of a square picture frame. She needs to know the side length of the frame. The area of the frame is mm square inches. Which shows the side length, in inches, of the picture frame?
Answer:
Step-by-step explanation:
If you have the area just divide it by 4 and that will give you the answer .
A square has all equal sides
- 12x + 10x
how can i simplify this ?
Answer:
- 2x
Step-by-step explanation:
Step 1:
- 12x + 10x
Answer:
- 2x
Hope This Helps :)
Answer:
-2x
Step-by-step explanation:
Like the other problem, we want to combine our like terms(in this case, all terms with x's). In order to do this, all you have to do is ignore the x's and then add the numbers together. -12 + 10 = 2. Now that we've added them together, you can add the x back to get 2x.
3.
Andrew wants to buy 28 radio sets. Each radio set costs $229. Give a
quick estimate of the total cost of the radio sets.
Explain why the product of two
negative integers is not negative. Use (−1)(−1)
as an example.
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
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