Answer:
C
Step-by-step explanation:
For edge
The exponential equation is given by the expression A = 2¹²
What are the laws of exponents?When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the exponential equation be represented as A
Now , the value of A is
A = 16³ be equation (1)
Now , the value of 16 = 2⁴
So , from the laws of exponents , we get
( mᵃ )ᵇ = mᵃᵇ
And , 2⁴⁽³⁾ = 2⁴ˣ³
And , the value of A = 2⁴ˣ³ = 2¹²
Hence , the expression is A = 2¹²
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10. The ratio of the number of male employees to the number of female employees in Westlake high school is 6:5. There are 40 females in the school. How many total employees are in Westlake high school?
Answer:
45
Step-by-step explanation:
Male = 6 Male = ?
Female = 5 Female = 40
^
? = 6x5 because 5x5 = 40
f(x)= 3x^2-7 over
4x^2-3
-find f(2)
Answer:
5/13
Step-by-step explanation:
f(x) = [tex]\frac{3x^{2}-7 }{4x^{2}-3 }[/tex]
Substitute x for 2.
[tex]\frac{3(2)^2-7}{4(2)^2-3}[/tex]
Solve
[tex]\frac{3(4)-7}{4(4)-3}[/tex]
[tex]\frac{12-7}{16-3}[/tex]
f(2)= [tex]\frac{5}{13}[/tex]
The value of f(2) is 5/29.
What is Function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
Given:
f(x) = 3x² -7/ 4x² - 3
Now, find the value of the function at x= 2
So, f(2)= 3(2)² -7/ 4(2)² - 3
f(2) = 3 x 4 -7 / 4 x 8 - 3
f(2) = 5/29
Hence, the value of f(2) is 5/29.
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Sam travel 20 miles in three hours. Sam walked part of the distance at a speed of 4 mph. Sam rode his bicycle for the remaining distance at a speed of 12 mph. How many hours did Sam spend walking? How many hours did Sam spend biking?
Answer:
Sam sokey 0.5 hours biking and 3.5 hours walking
Step-by-step explanation:
Here, we want to know the number of hours spent walking and biking
Mathematically; distance = speed * time
Let the number of hours spent walking be x and the number of hours spent biking be y
Mathematically;
x + y = 3 •••(i)
distance spent walking = 4 * x = 4x miles
distance spent biking = 12 * y = 12y miles
4x + 12y = 20
divide through by 2
2x + 6y = 10 ••••••(ii)
From i , x = 4-y
Substitute this into ii
2(4-y) + 6y = 10
8 - 2y + 6y = 10
8 + 4y = 10
4y = 10-8
4y = 2
y = 2/4 = 0.5 hours
The number of hours spent walking = 4-0.5 = 3.5 hours
6thh grade is harddd yall
Answer:
56
Step-by-step explanation:
i recommend using mathaway, type in "4,8,14"
Fatima invests a total of $29,000 in two accounts. The first account earned a rate of return of 11%. However, the second account suffered a 7% loss in the same period. At the end of one year, the total of money gained was $1,570.00. How much was invested into each account?
Step-by-step explanation:
given data:
gained = $1,570
amount invested = $29,000
0.11x – 0.07( $29,000 – x ) = 1540
0.11x – ( 2030 – 0.07x ) = 1540
0.11x + 0.07 = 1540 +2030
0.18x = 3570
divide both sides by 0.18
x = 19833.33 ( amount invested at 11%.
$29,000 – 19833.33
= $9166.7 ( amount invested at 7%)
solve the equation 3|3 - 5r|- 3 = 18
Answer:
r = 2
Step-by-step explanation:
3|3 - 5 * 2|- 3 = 18
3|3 - 10| - 3 = 18
3 * 7 - 3 = 18
21 - 3 = 18
18 = 18
(Since there are absolute value signs, the answer to |3 - 5r| will be positive)
Answer:
r=0.8
Step-by-step explanation:
3|3-5r|-3=18
9-15r -3=18
6-15r=18
15r=12
r=0.8
What’s the unit rate of 2 1/3 miles in 2 hours
Answer:
7/6 miles
Step-by-step explanation:
As, Distance for 1 hour = x
For 2 hours = 2 1/3
For 2 hours = 2(x)
So, 2(x)= 2 1/3
2(x)= 7/3
So, x = 7/3 ÷ 2
So x= 7/3 x 1/2
Therefore, x = 7/6
Final answer= 7/6 miles per hour
What is the slope of this equation?
What is the y intercept? Explain how you know.
y=−2x+7
Answer:
slope=-2
y intercept= 7
Step-by-step explanation:
Equation of a line:
y=mx+c
where
m=slope of the line, and
c=y intercept
Comparing y=-2x+7 with y=mx+c,
m=-2
y intercept=7
Hope it helps:)
The solution of the
equation 4p-2=10 is
(a)1
(b) 2
(c)3
(d)4
Answer:
option c
steps.4p-2=10
4p=2+10
4p=12
p=3
Answer:
(c) 3
Step-by-step explanation:
4p - 2 =10
4p =10 +2
4p =12
P =12 :4
p=3
HELP!
I need the letter of it ill give the the brainiest
Answer:
It's B.
Hope this helped :)
a product of y2 + 5y + 4?
Answer:
(y + 4)(y + 1)
Step-by-step explanation:
Given
y² + 5y + 4
Consider the factors of the constant term (+ 4) which sum to give the coefficient of the y- term (+ 5)
The factors are + 4 and + 1 , since
4 × 1 = 4 and sum = 4 + 1 = 5 , thus
y² + 5y + 4 = (y + 4)(y + 1) ← as a product of factors
PLZ HELP its a test re rake i really need to get it right or im gonna fail
Answer:
D
Step-by-step explanation:
if it was written in scientific notation, it would be 5*10^1
There shouldn't be decimals or part of numbers(6.0 is okay because 6.0 =6) in scientific notation
There were 60 children at the birthday. If 1/4 of them were boys how many were
boys?
Answer:
15
Step-by-step explanation:
60 x 1/4 = 60/4 = 15
Which input in this table is incorrect?
Answer:
I would say its D. 9.00
Step-by-step explanation:
A ball is thrown directly upward from a height of 3 ft with an initial velocity of 20 ft/sec. The function s(t)=−16t2+20t+3 gives the height of the ball, in feet, t seconds after it has been thrown. Determine the time at which the ball reaches its maximum height and find the maximum height.
Answer:
[tex]t=\frac{5}{8}s[/tex] and [tex]s(\frac{5}{8})=\frac{37}{4}ft[/tex]
Step-by-step explanation:
There are different approaches you can take to solve this problem. You can look at it from the geometric approach or the calculus approach. I will us the geometric approach.
When we analyze the given function for the height of the ball:
[tex]s(t)=-16t^2+20t+3[/tex]
we can see that we are dealing with a quadratic function. This means that the graph will be an inverted parabola, just like the one in the attached picture.
so the idea is to find the vertex of the parabola to find the highest the ball gets to be and the time it gets to be at that height.
In order to do so, we can use the vertex formula, which looks like this:
[tex]t=-\frac{b}{2a}[/tex]
this is use when you have a function with the form:
[tex]f(x)=ax^2+bx+c[/tex]
in this case:
a=-16, b=20 and c=3, so the formula then turns to:
[tex]t=-\frac{20}{2(-16)}[/tex]
which yields:
[tex]t=\frac{5}{8} s[/tex]
which is our first answer. So we can then use this to find the maximum height of the ball, just by substituting t into the original function:
[tex]s(\frac{5}{8})=-16(\frac{5}{8})^2+20(\frac{5}{8})+3[/tex]
which yields:
[tex]s(\frac{5}{8})=\frac{37}{4} ft[/tex]
which is our second answer.
which one does not belong ?
1/20 _20/25 _2/3_ 5/4
And why is the answer correct?.
Answer:
2/3 because they have something to do with five
Step-by-step explanation:
I NeEd HeLp
Solve the inequality.
4(x + 3) - 7 2 X+ 3(x + 1)
O x 5
Ox>3
O no solution
O all real numbers
Answer:
x 5. jjhwgehdhdjdhdhdhejrj
plz help me i need it
I can't see the choices real well, but I think it's b, 35%.
Answer:
B 35% is the answer
when jerry drives 100 miles on the highway his car uses 4 gallons of gasoline how much gasoline would his car use if he drive 275 miles on the highway
Answer:
11
Step-by-step explanation: Two one hundreds would be 8 gallons and 75 is 3/4 of one hundred making that 3 gallons
Can someone please help me
Answer:
I believe it's 180 I'm pretty sure
Answer:
180 degrees
Step-by-step explanation:
If you rotate it 180 degrees to the right or left it will look exactly the same.
find an equation of the line through (4,6) and parallel to y=3x+7
Answer: y = 3x - 6
Step-by-step explanation: A line that is parallel to another line must have the same slope, so you already have y = 3x + b. To find b, use the point that they give. b is the y-intercept, so just subtract 3(x) from the y coordinate of the point, where x is the x-coordinate of the given point.
HELPP!!
Mary earns $12 per hour, plus 10% commission on all her sales. Mary worked 10 hours and her sales were $1,500. How much money
did Mary earn?
First, you multiply 12 and 10 to get how much money she earned in 10 hours. She earned 120 dollars in 10 hours. Next, you multiply 10% and 1500. You turn 10% into 0.10, and multiply by 1500 to get 150. Finally you would add 150 and 120 to get $270. Mary earned $270.
if bobby was born in 05 how old would he be
Answer:
the answer is 15
Step-by-step explanation:
Arya deposit $8000 in a 5 year cd at 2% interest compounded daily. What is aryas new balance at the time of maturity
Answer:
Step-by-step explanation:
Use the given functions to set up and simplify
2%.8000=a⋅(5yearcd)= 5ea2yrcd2%=0.02
Answer:
100
Step-by-step explanation:
Pls help ASAP I will give brainlyest
Nile had 20% less strikeouts this year than last year. He had 124 strikeouts last year. Which steps are needed to calculate the number of strikeouts Nile had this year? Check all that apply
(A) Convert 20% to a decimal.
(B) Multiply: 0.2 × 124 = 24.8
(C) Divide: 124 ÷ 20 = 6.2
(D) Subtract: 124 – 24.8 = 99.2
(E) Add: 124 + 24.8 = 148.8
(F) Subtract: 124 – 6.2 = 117.8
Answer:
(A) Convert 20% to a decimal.
(B) Multiply: 0.2 × 124 = 24.8
(D) Subtract: 124 – 24.8 = 99.2
Step-by-step explanation:
Given parameters:
Number of strikeouts last year = 124
Percent reduction = 20%
Unknown:
Number of strikeouts this year =?
Solution:
To find the number of strikeout this year,
Convert 20% to a decimal = [tex]\frac{20}{100}[/tex] = 0.2
Now; Multiply: 0.2 × 124 = 24.8
The number of strikeouts this year = 124 - 24.8 = 99.2
Please answer correctly !!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!
Answer:
Not too sure because I don't know how it works for your site but drag the B dot to the A dot and drag that A dot to the C dot so their all going through the lines while being connected.
(sorry if its incorrect had a hard time reading the picture)
Express 0.02as a percent
Answer:
2%
Step-by-step explanation:
Answer:
2%
Step-by-step explanation:
Just research it to save points. Have a nice day!
Can I have bainliest?
It’s number 6. I’ll give brainliest
(Help ASAP!!)
You play a game on your phone. For every correct move you make, you
receive 50 points. For every second that it takes you over 2 minutes to complete the
game, you lose 3 points. You complete the game in 2 minutes 10 seconds using
3 correct moves. What is your score?
Answer:
120 is the score
Step-by-step explanation:
3 correct moves X 50 points for a correct move = 150 points
-3 points for every seconds over the time X 10 seconds over 2 minutes = 30 points lose -30
150 - 30 = 120
what’s 10/13 as a decimal rounded to the nearest tenth
Answer:
brainleist plzz
Step-by-step explanation:
Fraction Decimal Percentage
10/13 0.7692 76.92%
A fraction is a way to describe a part of a whole. The value of 10/13 as a decimal rounded to the nearest tenth is 0.8.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
The given fraction can be written in decimal form by dividing 10 by 13, therefore, we can write the fraction as,
10/13
= 10 ÷ 13
= 0.76923
Since the number is needed to be rounded off to the nearest tenth, therefore, we need to look at the hundredth term, if that term is more than equal to 5, we will leave the tenth term as it is, while if the hundredth term is more than 5 we will round off the tenth term to the next term.
In this case, the hundredth position is taken by 6, therefore, the tenth term will become 8 from 7.
10/13
= 10 ÷ 13
= 0.76923 ≈ 0.8
Hence, the value of 10/13 as a decimal rounded to the nearest tenth is 0.8.
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