Answer:
Im pretty sure its 1
Step-by-step explanation:
If you meant 4^3*4^-3, then yeah, its 1
A trader paid 15 for 6 drinking cups. One of the cups got broken. He sold the remaining five, making a profit of 10percent calculates the cost of each of the six cups
Answer:
The cost of each of the six cups is 2.50.
Step-by-step explanation:
The cost of each of the six cups can be calculated as follows:
Cost per cup = Total cost / Number of cups paid for ................. (1)
Where;
Cost per cup = ?
Total cost of cups = 15
Number of cups paid for = 6
Substituting the values into equation (1), we have:
Cost per cup = 15 / 6
Cost per cup = 2.50
Therefore, the cost of each of the six cups is 2.50.
Can someone explain this problem to me?? After a price reduction of x%, an item has its price increased to its original value. What was the percent of increase? Express your answer as a common fraction in terms of x.
Answer:
[tex]We\ are\ given\ that,\\Percent\ of\ reduction=x_-\\So,\\Let\ the\ percent\ of\ increase\ be\ x_+\\Let\ the\ original\ price\ of\ the\ item\ be\ y\\Let\ the\ price\ after\ the\ decrease\ be\ z\\.\\Hence,\\y-\frac{x_-}{100} =z\\ z+\frac{x_+}{100}=y\\By\ simply\ adding\ the\ equations,\\(y+z)+(- \frac{x_-}{100}+\frac{x_+}{100})=(z+y)\\Hence,\\- \frac{x_-}{100}+\frac{x_+}{100}=0\\Hence,\\ \frac{x_-}{100}=+\frac{x_+}{100}\\Hence,\\x_-=x_+\\[/tex]
[tex]Hence,\ the\ percent\ of\ increase\ is\ same\ as\ the\ percent\ of\ decrease.[/tex]
Write y−4=1/2(x−3) in slope-intercept form.
Answer:
y = 1/2x + 2 1/2
Step-by-step explanation:
y - 4 = 1/2 (x - 3)
y - 4 = 1/2x - 3/2
y = 1/2x - 3/2 + 4
y = 1/2x + 2 1/2
Combine into a single logarithm.
3log(x+y)+2log(x-y)-log(x^2 +y^2)
Answer:
[tex]3\log _{10}\left(x+y\right)+2\log _{10}\left(x-y\right)-\log _{10}\left(x^2+y^2\right)=\log _{10}\left(\frac{\left(x+y\right)^3\left(x-y\right)^2}{x^2+y^2}\right)[/tex]
Step-by-step explanation:
Given the expression
[tex]3log\left(x+y\right)+2log\left(x-y\right)-log\left(x^2\:+y^2\right)[/tex]
solving to write into a single logarithm
[tex]3log\left(x+y\right)+2log\left(x-y\right)-log\left(x^2\:+y^2\right)[/tex]
[tex]\mathrm{Apply\:log\:rule}:\quad \:a\log _c\left(b\right)=\log _c\left(b^a\right)[/tex][tex]3\log _{10}\left(x+y\right)=\log _{10}\left(\left(x+y\right)^3\right)[/tex]
so
[tex]=\log _{10}\left(\left(x+y\right)^3\right)+2\log _{10}\left(x-y\right)-\log _{10}\left(x^2+y^2\right)[/tex]
[tex]\mathrm{Apply\:log\:rule}:\quad \:a\log _c\left(b\right)=\log _c\left(b^a\right)[/tex][tex]2\log _{10}\left(x-y\right)=\log _{10}\left(\left(x-y\right)^2\right)[/tex]
so
[tex]=\log _{10}\left(\left(x+y\right)^3\right)+\log _{10}\left(\left(x-y\right)^2\right)-\log _{10}\left(x^2+y^2\right)[/tex]
[tex]\mathrm{Apply\:log\:rule}:\quad \log _c\left(a\right)+\log _c\left(b\right)=\log _c\left(ab\right)[/tex][tex]\log _{10}\left(\left(x+y\right)^3\right)+\log _{10}\left(\left(x-y\right)^2\right)=\log _{10}\left(\left(x+y\right)^3\left(x-y\right)^2\right)[/tex]
so
[tex]=\log _{10}\left(\left(x+y\right)^3\left(x-y\right)^2\right)-\log _{10}\left(x^2+y^2\right)[/tex]
[tex]\mathrm{Apply\:log\:rule}:\quad \log _c\left(a\right)-\log _c\left(b\right)=\log _c\left(\frac{a}{b}\right)[/tex][tex]\log _{10}\left(\left(x+y\right)^3\left(x-y\right)^2\right)-\log _{10}\left(x^2+y^2\right)=\log _{10}\left(\frac{\left(x+y\right)^3\left(x-y\right)^2}{x^2+y^2}\right)[/tex]
[tex]=\log _{10}\left(\frac{\left(x+y\right)^3\left(x-y\right)^2}{x^2+y^2}\right)[/tex]
Thus,
[tex]3\log _{10}\left(x+y\right)+2\log _{10}\left(x-y\right)-\log _{10}\left(x^2+y^2\right)=\log _{10}\left(\frac{\left(x+y\right)^3\left(x-y\right)^2}{x^2+y^2}\right)[/tex]
In a school with 700 students, a survey revealed that 80% of the students liked the new lunch menu. Based on this data, how many students liked the new menu?
Answer:
560 students
Step-by-step explanation:
We are given that the total number of students is
700
The survey results is 80% likes the new lunch menu
We are expected to establish what amount of students is 80%
=80/100*700
=0.8*700
=560
Hence 80% of 700 is 560
TWO MULTIPLE CHOICE QUESTIONS PLS HELP
Answer:
sorry i only know the number 2.
so the answer is the first one...
Mrs. Pregnals's biology classes are going on a field trip. She has them break into groups of three or four
students in order to do labs. She has a total of 120 students and 32 total groups are formed.
If i represents the number of three person groups and represents the number of four person groups, then
write a system of equations that models this situation.
Answer:
x + y = 32 (1)
3x + 4y = 120 (2)
x = 8; y = 24
Step-by-step explanation:
Total students = 120
Number of groups = 32
If the number of three person groups = x
Number of four person groups = y
write a system of equations that models this situation
x + y = 32 (1)
3x + 4y = 120 (2)
From (1)
x = 32 - y
Substitute x = 32 - y into (2)
3(32 - y) + 4y = 120
96 - 3y + 4y = 120
- 3y + 4y = 120 - 96
y = 24
Substitute y = 24 into (1)
x + y = 32
x + 24 = 32
x = 32 - 24
x = 8
x = 8; y = 24
rewrite as a monomial in its standard form:
-(3xy)^2 * (-3x)^3
Jamie works 6.5 hours on Monday and 5.25 on Tuesday. She makes $12 per hour. How much money does she earn from working Monday and Tuesday?
Solve for x:16^(4x-3)=8^(2x+4)
Answer:
x = 2.4
Step-by-step explanation:
16^(4x - 3) = 8 ^ (2x + 4)
16 = 2^4
8 = 2^3
2 ^ 4*(4x - 3) = 2^3(2x + 4)
Since the bases are the same, you can equate the powers
4(4x - 3) + 3*(2x + 4) Remove the brackets.
16x - 12 = 6x + 12 Subtract 6x from both sides
16x - 6x - 12 = 12 Combine the terms on the left
10x - 12 = 12 Add 12 to both sides
10x = 24 Divide by 10
x = 2.4
hello there can anyone solve this plz (chart is attached):
correct answer gets brainliest
If h(x) = f[f(x)] use the table of values for f and f ' to find the value of h '(1)
Answer:
[tex]h^\prime(1)=14[/tex]
Step-by-step explanation:
We have the function:
[tex]h(x)=f[f(x)][/tex]
And we want to find:
[tex]h^\prime(1)[/tex]
So, we will differentiate function h. By the chain rule, this yields:
[tex]h^\prime(x)=f^\prime[f(x)]\cdot f^\prime(x)[/tex]
Then it follows that:
[tex]h^\prime(1)=f^\prime[f(1)]\cdot f^\prime(1)[/tex]
Using the table, we acquire:
[tex]h^\prime(1)=f^\prime(3)\cdot2[/tex]
And using the table again, we acquire:
[tex]h^\prime(1)=7\cdot 2[/tex]
Evaluate. Hence:
[tex]h^\prime(1)=14[/tex]
There are 5 red markers, 2 orange markers, 3 yellow markers, and 5 green markers in a desk drawer. plss help
Answer:
15 markers in all
Step-by-step explanation:
5 + 2 + 3 + 5 =
5 + 5 = 10
+
2 + 3 = 5
=
10 + 5 = 15
Brainliest Please!!
Find the value of 7 + 3↑2 (-5 + 1) ÷ 2.
Answer:
-11
Step-by-step explanation:
7 + 3↑2 (-5 + 1) ÷ 2
7 + 3↑2(-4) ÷ 2
7+9(-4) ÷ 2
7+(-36) ÷ 2
7-18
-11
Answer:
Im not sure what the arrow is for but
7 + 3.2 (-5 + 1) ÷ 2= 8.2
Step-by-step explanation:
7+3.2=10.2
(-5+1)÷2= -2
-2+10.2= 8.2
ANSWER: 8.2
It takes 12 hours to fill a pool with two pipes, where the water in one pipe flows three times as fast as the other pipe. How long will it take the slower pipe to fill the pool by itself
The speed limit is 55 kilometers per hour. What is the speed limit in miles per hour?
Answer:
34.2 or 34.20
Step-by-step explanation:
I think that it is this
Answer:
34.2
Step-by-step explanation:
3 less than the quotient of a number y and 4
Expression:
When y = 20, the value of the expression is
Please help ASAP!!
Step-by-step explanation:
3 less than the quotient of a number y and 4
= y/4 - 3.
When y = 20, y/4 - 3 = 20/4 - 3 = 2.
Brandon decided to make his own hand sanitizer.
To be effective, hand sanitizer should contain 60% alcohol.
If Brandon uses 120ml of pure alcohol, how much sanitizer can he make?
Answer:
200ml
Step-by-step explanation:
120ml ÷ 60 = 2 x 100 = 200ml
The solution is 200 mL
The amount of sanitizer Brandon can make from 120mL of alcohol is given by the equation A = 200 mL
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the amount of sanitizer from 120 mL of alcohol be A
Now , the equation will be
The sanitizer should contain 60% alcohol
So ,
120 = ( 60 / 100 ) x amount of sanitizer from 120 mL A
Substituting the values in the equation , we get
120 = ( 60 / 100 ) x A
Divide by 60 on both sides of the equation , we get
A / 100 = 2
Multiply by 100 on both sides of the equation , we get
A = 200 m L
Therefore , the value of A is 200 mL
Hence , the amount of hand sanitizer is 200 mL
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
Kate walks 5 miles in 2 hours at a steady pace. how far can she walk in 1 hour and 15 minutes? If answered, you get the brain crown thing
Answer:
2.8125 mile
Step-by-step explanation:
hope its right
How many 38s does it take to make 32.
Answer:
.842
Step-by-step explanation:
Divide 32 by 38 to figure out how many of them are needed. Answer is .842 rounded.
please answer quickly
geometry reflections translation: (x, y)->(x+2, y- 1)
H(-2, 4), 1(0,5), H3, 2)
Answer:
H'(0, 3); I'(2, 4); J'(5, 1)
Step-by-step explanation:
H'(-2+2,4-1)
H'(0, 3)
I'(0+2, 5-1)
I'(2, 4)
J'(3+2, 2-1)
J'(5, 1)
Write the point-slope form of the given line that passes through the points (0, -3) and (4, 1). Identify (x1, y1) as (0, -3). Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.
Answer:
X1=0
Y1=-3
X2=4
Y2=1
Slope=(y2-y1)/(x2-x1)
Slope=(1-(-3))/(4-0)
Slope=4/4
Slope=1
Step-by-step explanation:
Please help me out!!!!!
Answer:
last option is the polynomial
Step-by-step explanation:
The easiest way to go about this is to look at the last statement
f(2) = 144
The solution to finding the polynomial is by substituting x = 2 into any of the polynomials; if after substituting, we have the value as 144, then the given polynomial is our answer
Let us have a look at each of the polynomials in the option;
1. 2(2)^7 -8(2)^5 + 2(2)^3 = 16
This cannot be our answer
2. 2(2)^7 - 2(2)^5 + 4(2)^3 = 224
This is not our answer
3. 2(2)^7 - 2(2)^5 + 144(2)^3 = 1,344
This is not our answer
4. 2(2)^7 -4(2)^5 + 5(2)^3 = 168
This is not our answer
5. 2(2)^7 -4(2)^5 + 2(2)^3 = 144
This is our answer
Ivan earned $343.75 for working 25 hours last week. How much does Ivan get paid per hour?
Answer:
$13.75
Step-by-step explanation:
Ivan earns $343.75 working for 25hours
The amount that Ivan gets if he works for 1 hour can be calculated as follows
= 343.75/25
= 13.75
Hence the amount paid for one hour is $13.75
Find the area of the red triangle.
Also explain.
Answer:
The answer is 9
Step-by-step explanation:
So In order to solve this problem, you need to understand how the area of a parallelogram works. If you already know how the area of a parallelogram and the area of a triangle are related, add 79 and 10 and subsequently subtracting 72 and 8 to get 9.
Answer:u
Step-by-step explanation:
A researcher took a poll of people in his state. He asked each person if he or she had any pets (Yes or No) and to state his or her political party affiliation (Republican, Democrat, or Other). If the researcher computed a chi square test of independence using the responses, what would the degrees of freedom value be
Answer:
DF = 2
Step-by-step explanation:
Formula for degree of freedom is;
DF = n - 1
Where n is sample size
In this question, political party affiliation could be Republican, Democrat, or Other. Thus, sample size is 3.
DF = 3 - 1
DF = 2
Thus, degree of freedom value would be 2
–45 • –3 = please i need hep
Answer:
135
Step-by-step explanation:
plzzz help meeWhich of these copper wires has the
highest resistance?
A 0.5 mm diameter, 10 cm long
B 0.5 mm diameter, 20 cm long
C 1.0 mm diameter, 10 cm long
D 1.0 mm diameter, 20 cm long
Answer:
A. option is your answer.... hope it helps you friend ❤️.....and please follow meIf g(x) = x2 + 2, find g(3). (2 points)
9
8
11
6
Answer:
The answer is 11
Step-by-step explanation:
so substitute 3 for x, then your equation would be 3^2 + 2
3^2 is 9
9 + 2 = 11
PLEASE HELP!!!
Which of the following values could x represent in the bar diagram?
ABC or D?
9514 1404 393
Answer:
both C and D are correct
Step-by-step explanation:
The diagram shows that x is the total of $40 and 20% of $40.
Description A would be represented by the difference of $40 and 20% of $40, not the sum.
Description B would be represented by 20% of $40, not the sum of that and $40.
Both descriptions C and D are properly represented in the diagram.
Which decimal is equivalent to 5/8
Answer:
0.625
Step-by-step explanation:
The lines on top of the numbers means that the number continues for a long time. However, 5/8 isn't infinite which means we can rule the 2nd and 3rd options. We also know that 5/8 certainly isn't greater than 1 which means the only answer we have left is the 1st one.
(sorry this is so confusing but I hope it helped anyway)