Answers
Answer: [tex]4^0[/tex]
Step-by-step explanation:
[tex]4^5*4^-^7/4^-^2[/tex]
Rewriting this;
[tex]\frac{4^5*4^-^7}{4^-^2}[/tex]
When you multiply by the same base, you add exponents.
[tex]\frac{4^5^+^(^-^7^)}{4^-^2}[/tex]
[tex]\frac{4^5^-^7}{4^-^2}[/tex]
[tex]\frac{4^-^2}{4^-^2}[/tex]
When you divide by the same base, you subtract exponents.
[tex]4^-^2^-^(^-^2^)[/tex]
[tex]4^-^2^+^2\\4^0[/tex]
Related Questions
A gardener a coordinate grid to design a new garden. The gardener uses a polygon WXYZ on the grid to represent the garden. The vertical of this polygon are W (3, 3), X (- 3, 3), Y (-3, -3) Z (3, -3). Each grid unit represents one yard. Find the area of the garden.
Answers
Answer:
Find the area of the square using the length of the segment WX as the sides.
s = |2 |+ | −2 | = 2 + 2 = 4 yards
Then A = s2 = 42 = 16 square yards.
Step-by-step explanation:
I got the same question but with different numbers so you could just use the formula to find you answer.
Complete the square to rewrite x^2+y^2+2x+6y-6=0 in graphing form
Answers
Answer:
(x + 1)² + (y + 3)² = 16
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² + 2x + 6y - 6 = 0
Collect the x and y terms together and add 6 to both sides
x² + 2x + y² + 6y = 6
To complete the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(1)x + 1 + y² + 2(3)y + 9 = 6 + 1 + 9
(x + 1)² + (y + 3)² = 16
with centre = (- 1, - 3) and r = [tex]\sqrt{16}[/tex] = 4
Find the height of a cylinder with a volume of 30 ins and a radius of 1 in.
9.5 cm
10 cm
8.5 cm
Answers
Answer:
The height of this cylinder = 9.55 ins
Step-by-step explanation:
Volume cylinder = pi * r² * h = 30 ins
r=1
pi * r² * h = 30
pi * 1² * h = 30 ins
h = 30/pi
h = 9.55 ins
Order the following steps to explain the correct process for calculating net income.
Reorder answers
1.Subtract the tax withholdings from the gross income.
Reorder answers
2.Convert the tax rate to a decimal.
Reorder answers
3.Multiply the tax, as a decimal, with the gross income.
Answers
Answer:
Convert the tax rate to a decimal so 8.75% becomes 0.875
Multiply the tax, as a decimal, with the gross income so 1,000 x 0.0875 = 87.5
Subtract the tax withholdings from the gross income 1000 - 87.5 = 912.5
Step-by-step explanation:
approximate the square root of 110 to the nearest hundreth
Answers
Answer:
10.5
Step-by-step explanation:
since square root of 110 is 10.4880
then we round off to the nearest hundreth
it'll be 10.5
Please help, thank you.
Answers
Answer:
Photoreceptors
Step-by-step explanation:
This is the answer but I don't see it on there . . .
Question:This is a light sensitive tissue that lines the back of the eye
Answer: Retina
caden buys 3.9 pounds of grapes that cost $1.80 per pound. which expression can be used to find the total cost of the grapes?
Answers
1.80/10=0.18•9=$1.62
$5.40+$1.62=$7.02
The expression that can be used to determine the total cost of the grapes is 3.9 x 1.80.
How can the total cost be determined?Total cost is the unit cost multiplied by the total quantity of grapes bought. Multiplication is the process of determining the product of a number using a mathematical operation.
Total cost = unit cost x total pounds
3.9 x 1.80.
To learn more about multiplication, please check: https://brainly.com/question/3385014
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Which expression is equivalent to 2.2 - 2.5?
A 2.5 - 2.2
B 2.2 + 2.5
C 2.2+(-2.5)
D 2.2 - (-2.5)
Answers
Answer:
C
Step-by-step explanation:
2.2-2.5
Since a + and a - make a minus if we have 2.2+(-2.5) we would get 2.2-2.5. So C is the anwser.
The box is 3/4 inch long, 1/2 inch wide, and 1,4 inch deep. What is the volume of the box.
Answers
Answer:
4/32
Step-by-step explanation:
3/4*1/2=3/8
3/8*1/4=4/32
Answer:
3/32 inch^3
Step-by-step explanation:
The entertainment committee at Maplecrest Junior High School has narrowed down the theme of the Spring Dance to three choices. The ten committee members want to conduct a survey to determine which theme Maplecrest's 2000 students prefer. There will be three choices (Disco Fever, The Crazy Eighties, or Hip Hop Til You Drop) and the committee will go with the theme that gets the most votes.
Which of the following survey methods will allow the committee to make a valid conclusion about which theme Maplecrest's student body prefers?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Each of the 10 committee members can ask 10 friends to obtain a sample of 100 students.
(Choice B)
B
Assign a number to each student, and use a computer program to generate 100 random numbers between 1 and 2000. Ask those students whose numbers are selected.
Answers
Answer:
B
Step-by-step explanation:
To make the survey fair, every student in the school has to have an equal chance to be selected to take the survey. The first scenario would only allow friends of the committee members to be selected, but the second one would give a chance to all students.
Write the cubic term for the Taylor series expansion of f(x) = sin(x) at c = pi/4
I did the work, can you please check for me whether my work is right?
Answers
Step-by-step explanation:
Close, the second term should have an exponent of 1.
f(x) = f(c) + f'(c) (x−c)¹/1! + f''(c) (x−c)²/2! + f'''(c) (x−c)/3!
f(x) = 1/√2 + 1/√2 (x−π/4) − 1/(2√2) (x−π/4)² − 1/(6√2) (x−π/4)³
If now Lina is three times as old as Nick, and in 6 years she will be twice as old as he, how old are they now?\
PLZZ I AM DESPERATE
Answers
Answer:
Step-by-step explanation:
Nick's age = x years
Lina's age =3*x = 3x
After 6 years,
Lina's age = 3x + 6
Nick's age = x + 6
3x + 6 = 2*(x+6)
3x + 6 = 2*x + 2*6
3x + 6 = 2x + 12 {Subtract 6 form both sides}
3x +6 - 6 = 2x + 12 - 6
3x = 2x + 6 {subtract 2x from both sides}
3x - 2x = 2x + 6 - 2x
x = 6
Nick's age = 6 years
Lina's age =3*6 = 18 years
Answer:
Lina is 18 and Nick is 6
Step-by-step explanation:
Hello can someone please help me with this question will give brainliest
Answers
Answer:
X and Y have a weak, negative correlation.
Answer:
The answer is x and y have a weak negative correlation
Step-by-step explanation:
The points do not form a very straight line, so that is considered weak.
The points are arranged from higher on the left to lower on the right, indicating a negative slope.
I hope this helps! :)
HHELP HELP PLZZ PLZ SHOW WORK PLZZZZZ
Answers
Answer:
B. 43.3
Step-by-step explanation:
Find the area of one of the triangles:
[tex]\frac{1}{2} *b*h[/tex]
[tex]\frac{1}{2} *5*4.33=10.825[/tex]
10.825*4=43.3
Answer:
B.) 43.3 square centimetres
Step-by-step explanation:
The height is 4.33 cm and the side length is 5 cm. The surface area of the net would be the sum of the areas of all the triangles, which is 4 triangles. Since they are equilateral triangles, you can multiply. Use the formula for the area of a triangle:
[tex]A=\frac{1}{2} bh[/tex]
Insert the values:
[tex]A=\frac{1}{2} *4.33*5[/tex]
Simplify:
[tex]A=\frac{1*4.33*5}{2} \\\\A=10.825[/tex]
Multiply the area of one triangle by 4:
[tex]10.825*4=43.3[/tex]
The surface area of the pyramid is [tex]43.3[/tex] [tex]cm^2[/tex]
:Done
Mrs. Rodriguez bought 3 tickets for a concert. She also paid for a poster at the concert. Mrs. Rodriguez paid a total of $102 for the tickets and the poster. The equation 3t + p = 102 can be used to find p, the amount Mrs. Rodriguez paid for the poster. If Mrs. Rodriguez paid $29 for each ticket, t, then how much did she pay for the poster
Answers
Answer:
15
Step-by-step explanation:
102-(29 x 3)
Answer:
p=15
Step-byexplanation:
3t+p/102
3(29)+p=102
87+p=102
p=15
Train A has a speed 20 miles per hour greater than that of train B. If train A travels 270 miles in the same times train B travels 210 miles, what are the speeds of the two trains?
Answers
Answer:
speed of train A = 70 + 20 = 90 miles per hour
speed of train B = 70 miles per hour
Step-by-step explanation:
Let
speed of train B = a
speed of train A = a + 20
Recall
speed = distance/time
The travel time is same for both train. Therefore, let us make time subject of the formula in the speed equation.
Time = distance/speed
270/a + 20 = 210/a
cross multiply
270a = 210(a + 20)
270a = 210a + 4200
270a - 210a = 4200
60a = 4200
divide both sides by 60
a = 4200/60
a = 70
speed of train A = 70 + 20 = 90 miles per hour
speed of train B = 70 miles per hour
Exponential Growth and Decay The expressions below represent either exponential growth or exponential decay. Check all the expressions that represent exponential decay. 5x 3(0.75)2t 35(2.4)x 5000(1.04)3t 0.05x 500(0.005)t
Answers
Answer:
First one: 5x3(0.75)2t
and fourth one: 0.05x500(0.005)t
Step-by-step explanation:
In order to have an exponencial decay, the rate of the exponencial function needs to be lesser than 1.
The rate is the value between parenthesis, so in the first equation, the rate is 0.75, so this is an exponencial decay.
The second equation has rate = 2.4, so this is not an exponencial decay.
The third equation has rate = 1.04, so this is not an exponencial decay.
The fourth equation has rate = 0.005, so this is an exponencial decay.
Answer:
It's A,C,F
Step-by-step explanation:
I answered it :) and got it right.
Find the first four terms in the sequence an=15+6n.
A. 18, 12, 6, 0
B. 20, 26, 32, 38
C. 21, 27, 33, 39
D. 20, 14, 8, 2
Answers
The first four terms in the sequence an=15+6n are 21, 27, 33, and 39.
The correct option is C. 21, 27, 33, 39
From the question, the equation to calculate the nth term is given which is
an=15+6n.
Now, let a1, a2, a3 and a4 denote the first, second, third and fourth terms respectively.
For the first term, a1
n = 1,
From the given equation, an=15+6n
∴ a1 = 15 + 6(1)
a1 = 15 + 6
a1 = 21
∴The first term is 21
For the second term, a2
n = 2,
From the given equation, an=15+6n
∴ a2 = 15 + 6(2)
a2 = 15 + 12
a2 = 27
∴The second term is 27
For the third term, a3
n = 3,
From the given equation, an=15+6n
∴ a3 = 15 + 6(3)
a3 = 15 + 18
a3 = 33
∴The third term is 33
For the fourth term, a4
n = 4,
From the given equation, an=15+6n
∴ a4 = 15 + 6(4)
a4 = 15 + 24
a4 = 39
∴The fourth term is 39
Hence, the first four terms in the sequence an=15+6n are 21, 27, 33, and 39.
The correct option is C. 21, 27, 33, 39
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The expresstion 2m +10c gives the amount of money in dollars a desert store makes from selling m muffins and c cakes. How much money does the dessert store make from selling three muffins and four cakes
Answers
Answer:
$46.
Step-by-step explanation:
We plug m = 3 and c = 4 into the given expression:
Money made = 2*3 + 10*4
= $46.
Solve the following:
a)
3x + 4 /2 = 9.5
7 + 2x /3 = 5
b)
Answers
a) x=2.5
b) x=-3
a car travels 480 miles in 7 1/2 hours. if the driver continues to travel at the same average speed, how many miles will the car travel in 12 hours?
Answers
480 miles = 7 1/2 hours
y miles = 12 hours
(cross multiply)
answer: 1645.7 miles
Pls help w 13 I rlly need help rn
Answers
Answer:
the last one
Step-by-step explanation:
because it's true
The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $4 and each adult ticket sells for $8.50. The auditorium can hold at most 79 people. The drama club must make no less than $460 from ticket sales to cover the show's costs. If 53 student tickets were sold, determine the minimum number of adult tickets that the drama club must sell in order to meet the show's expenses.
Answers
Answer:
79 people can only be in this so we have 53 kids so 53 * 4 = 212
Step-by-step explanation:
However, there is 53 kids to find how many adults you will have to do 79 - 53 which that = 26 so 26 adults were there. so 26 * 8.50 = 221.
To fine how much money they earn you will just have to add them up so
$212 + $ 221 = $433 so they didn't really earn the amount of money they really want which is $ 460.
Thus the minimum number of adult tickets that the drama club must sell in order to meet the show's expenses is 29 tickets.
Given,
The drama club is selling tickets to their play to raise money for the show's
expenses.
Each student ticket sells for $4 and each adult ticket sells for $8.50.
The auditorium can hold at most 79 people.
The drama club must make no less than $460 from ticket sales to cover
the show's costs.
If 53 student tickets were sold, determine the minimum number of adult
tickets that the drama club must sell in order to meet the show's expenses.
How to find the number of items from a total cost where each item cost is the same?We will divide the total cost by the cost of each item.
Example:
Cost of each item = $3
Total cost = $9
Number of items = $9 / $3 = 2
We have,
Student ticket:
Cost of each ticket = $4
Number of tickets sold = 53
Total sell from student tickets sold = 53 x $4 = $212
Adult ticket:
Cost of each ticket = $8.50
Number of adult tickets sold = M
Total sell of adult tickets sold = M x $8.50
Total number of people the auditorium can hold = 79
Minimum amount to make from ticket sales = $460
The remaining amount that needs to sale from adult tickets:
= $460 - $212
= $248
The number of adult tickets sold:
M = $248 / $8.50 = 29
Thus the minimum number of adult tickets that the drama club must sell in order to meet the show's expenses is 29 tickets.
Learn more about finding the minimum number of adult tickets that the drama club must sell in order to meet the show's expenses here:
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Dilate the segment about the origin by a scale factor of 1 /2 What are the coordinates of B'? please help
Answers
Answer:
(1,-2) edge2020
Step-by-step explanation:
Answer:
(1,-2)
Step-by-step explanation:
got it right on edge
4x - 20 = -2(-3x + 22)
Answers
Answer: x = 12
Step-by-step explanation:
[tex]4x-20=-2(-3x+22)[/tex]
Begin by distributing -2
[tex]4x-20=6x-44[/tex]
Subtract 6x
[tex]4x-6x-20=-44[/tex]
Add 20
[tex]4x-6x=-44+20[/tex]
Combine like terms;
[tex]-2x=-24[/tex]
Divide by -2
[tex]x=\frac{-24}{-2}\\ x=12[/tex]
Given the fractions 8/15 and 18/35, find the largest number that these fractions can be divided by, so that the quotient will be a whole number.
Answers
Answer:
Therefore the largest number that these fractions can be divided by to give them a whole number is
a) 8/15 = The largest number is 8/15
b) 18/35 = The largest number is 18/35
Step-by-step explanation:
A quotient is the result obtained by dividing two numbers.
So that the quotient obtained is a whole number we have to find out, what number they can be divided by to give them that.
Let's assume the whole number is 1
a. 8/15
8/15 ÷ x = 1
8/15 × 1/x = 1
8/15x = 1
We would cross multiply
8 = 15x
We would divide both sides by 15
8/ 15 = x
Hence the largest number that would divide 8/15 and give it a whole number = 8/15
b) 18/35
18/35÷ x = 1
18/35 × 1/x = 1
18/35x = 1
We would cross multiply
18 = 35x
We would divide both sides by 35
18/ 315 = x
Hence the largest number that would divide 18/35 and give it a whole number = 18/35
Answer:
The answer is 2/105
Step-by-step explanation:
first we have to find the LCM of both denominators. IN this case, the LCM of 15 and 35 is 105. Then we have to find the GCF of these numerators. IN this case, the GCF of 8 and 18 is 2.
Now, put the GCF you found over the LCM.
ANSWER: 2/105
This fraction is the largest number you can divide both numbers by to get a whole number.
Find the quotient.
3 divided by 3636
A. 1,212
B. 1,202
C. 122
D. 112
E. 102
help asap!!
Answers
HELP ASAP , algebra 1 giving BRAINLIEST , no guessing , please CHECK ALL THAT APPLY
Answers
Answer:
D. 4-d=8
F. 3+2=5
Step-by-step explanation:
You know my explanation but I'm just too lazy to answer.
6. David leaves the house to go to school He walks 200 m west and 125 m
north. Calculate how far he is from the sting point.
Answers
Answer:
~235.8
Step-by-step explanation:
200^2 +125^2= distance traveled^2
55625= distance traveled^2
235.849528301
solve 2x + 26=2 [5-3x]
Answers
Step-by-step explanation:
2x+26=2(5-3x)
2x+26=10-6x
combination of like terms
2x+6x=10-26
8x= -16
x= -16/8
x= -2
