Step-by-step explanation:
(-a)⁴ / (-a)³ = -a
since both terms have the same exponent base (-a), we can simply do the regular exponent arithmetic (multiplication = +, division = -)
4 - 3 = 1
so, the exponent 1 remains.
it works also, if we process the exponents first
(-a)⁴ = a⁴
(-a)³ = -(a³)
a⁴/-(a³) = a/-1 = -a
han earns $33,00 for babysitting 4 hours. at this rate, how much will he earn if he babysits for 7 hours?
Answer:
$57.75
Step-by-step explanation:
7×33/4
231/4
57.75
When you subtract a number, you get the same results as when you add the opposite number. Why?
Answer:
Step-by-step explanation:
Well, the opposite of a number is the same number with the opposite sign. For example, the opposite of -1 is 1.
So, say we have an equation where we're subtracting a number, for example, 2-1, which obviously equals 1. Now, if we add the opposite of 1 to 2, we get the equation 2+(-1) which still equals 1.
I hope this helps!
6 A clothing store paid $30 for a jacket, and sold the jacket for $48.
What was the percent increase?
Answer:
60%
Step-by-step explanation:
% increase = Increase ÷ Original Number × 100
Answer:
60%
Step-by-step explanation:
Total increase in cost = $(48 - 30) = $18
Now,
% increase = Increase/Original amount × 100
=> 18/30 × 100
=> 18/3 × 10
=> 6 × 10
=> 60%
Calculate the measure of the arc PQ.
Answer:
arc PQ = 124°
Step-by-step explanation:
The inscribed angle PRQ is half the measure of its intercepted arc PQ, so
arc PQ = 2 × 62° = 124°
Answer:
124°
Step-by-step explanation:
Inscribed angle PRQ is half the measure of intercepted arc PQ.
1/2(PQ) = 62°
PQ = 124° . . . . . . multiply by 2
I need help please and explain your answer it’s number 4
Answer:
29
Step-by-step explanation:
Well "value" of 3x^2 - 7x + 9 when x = 4 is just x plugged into the expression
3 * 4^2 - 7 * 4 + 9
3 * 16 - 28 + 9
= 29
through: (3, 5), slope = 5/3
Explain please
Step-by-step explanation how to get answer:
Slope is Rise over Run
Find point (3, 5) and go up 5 and over 3 from that point & mark it, keep going in that pattern until you have a line.
For going opposite ways, do the opposite function; go down 5 and left 3 to have a complete straight line.
Suppose you were given this table. Select all of the true statements.
x y
6 3
12 6
18 9
24 12
The ratio of x to y is the slope.
The ratio of y to x is the slope.
The equation of the graph is y = 2x.
The equation of the graph is y = 12
1\2x
Answer:
The ratio of y to x is the slope
The equation of the graph is y = 1/2x
Step-by-step explanation:
In this scenario, we see that 1/2 of x always equals y, so the y-intercept is 0. This means that the slope is equal to 1/2, and that is the ratio of y to x.
Evaluate the function f(x) = â€""2x2 â€"" 3x 5 for the input value â€""3. â’22 â€""4 2 32.
The equivalent value of the function f(x) = –2x^2 – 3x + 5 if x = -3 is -4
We are to evaluate the function f(x) = –2x2 – 3x + 5 for the input value –3.
Given the function:
f(x) = –2x^2 – 3x + 5For x = -3, we will have to substitute x = -3 into the expression to have:
f(-3) = –2(-3)^2 – 3(-3) + 5
f(-3) = -2(9) + 9 + 5
f(-3) = -18 + 14
f(-3) = -4
Hence the equivalent value of the function f(x) = –2x^2 – 3x + 5 if x = -3 is -4
Learn more on functions here: https://brainly.com/question/10439235
Sheldon and Leonard our partners in a business Sheldon makes two dollars in profit for every five dollar that Leonard makes. If together they make a profit of $28 on the first item they sell how much profit does Sheldon make
Answer:
Sheldon makes $8 profitStep-by-step explanation:
The fraction of the profit that belongs to Sheldon is ...
Sheldon / Leonard = 2 / 5
Sheldon / Total = 2 / (2 + 5) = 2/7
Then Sheldon's portion of the $28 profit is ...
Sheldon's profit = 2/7 × $28 = $8
Sheldon makes $8 profit on the first item they sell.
Can someone solve this/give me an answer choice??ASAP if possible
Answer:
Step-by-step explanation:
C is right.
5(a + b + c + d)
when you express it it's gonna be 5a + 5b + 5c + 5d
Show all work pls ty (:
At 7 P.M., a burning candle is 16 inches tall. At 9:30 P.M., the candle is only 3.5 inches tall. At what rate is the height of the candle decreasing?
Answer: 5 inches per hour or 2.5 inches per half an hour
Step-by-step explanation:
Amount of Time Passed: 2 hours 30 minutes
Difference in Candle Height: 12.5 inches
12.5 / 2.5 = 5 inches
5 inches per hour or 2.5 inches per half an hour
If it is incorrect, please let me know.
PLEASE HURRY 40 POINTS
Answer:
3√5
Step-by-step explanation:
Hope this helps you ......
i need help with this!!
Answer:
8x-4<-36+4
8x<-32
----
8
x<-4
Answer:x<-4
Step-by-step explanation:
you would have to show your work and do it step by step and and dont stress about it
A musician has just purchased a theremin — an instrument that can be played by moving your hands in the air. For every 30 centimeters that she moves her hand away from the theremin’s antenna, the pitch of the theremin’s sound drops 500 hertz. By how many hertz does the pitch drop for every meter that she moves her hand away?
Answer:
1665 hertz
Step-by-step explanation:
30 x 3.33 = 1 (1 meter) so 500 x 3.33 = 1665 (1 meter of movement)
5. Which of these points is in the second quadrant?
A. (-3,0)
B. (-4,3)
C. (2, 2)
D. (2,-2)
Answer:
A
Step-by-step explanation:
A is locate in the second quadrant
???????? Helppppppppp
In ∆RAM and ∆REP
m<E=m<ALet's check ratio
[tex]\\ \sf{:}\longrightarrow \dfrac{AR}{RE}=\dfrac{4}{12}=\dfrac{1}{3}[/tex]
[tex]\\ \sf{:}\longrightarrow \dfrac{RM}{RP}=\dfrac{2}{6}=\dfrac{1}{3}[/tex]
Hence
option B is correct
Answer:
[tex]second \: one \: is \: correct[/tex]
Thegreergreertteraloargaaramaits 1>-25-31 >:-2 * 2 A 221 OD. 2.2 O O
Answer:
A
Step-by-step explanation:
60 is 15% of what number?
Answer:
400 is the number
Step-by-step explanation:
Is means equals and of means multiply
60 = 15% * W
Change to decimal form
60 = .15W
Divide by .15
60/.15 = .15W/.15
400= W
4b + 8 / -2 = 10
what is the answer
Answer:
7/2
Step-by-step explanation:
4b+8/-2=10
4b-4=10
4b=10+4
4b=14
b=14/4
simplify
b=7/2
simplify 6x-3 + 2x+5
Answer:
8x + 2
Step-by-step explanation:
Like terms:
6x and 2x
-3 and 5
6x + 2x = 8x
5 - 3 = 2
8x + 2
Answer:
x = 1
Step-by-step explanation:
6x - 3 + 2x + 5 = 0 <=> (6x+2x) - (3+5) = 0 <=> 8x - 8 =0 <=> 8x = 8 <=> x = 1
Given the function {f(x)=32-x}^{2}f(x)=32−x 2 , what is f(-5)f(−5)?
Step-by-step explanation:
the description is very difficult to understand with special characters and potential typing errors.
I suspect the definition is
function(x) = 32 - x²
function(-5)function(-5) is then very easily calculated.
we need to calculate function(-5) and then square the result, as function(-5)function(-5) is just a simple multiplication of the function results.
function(-5) = 32 - (-5)² = 32 - 25 = 7
so,
function(-5)function(-5) = 7 × 7 = 49
my Christmas present to you
merry Christmas to you!
Solve the following system: y = x 3 3x y = 19 (7, 4) (â’4, 7) (4, 7) (4, â’7).
The correct option is C. (4,7).
Given equations,
[tex]y=x+3....(1)\\3x+y=19....(2)[/tex]
We have to solve the equations.
From equation 1 put the value of y in equation 2 we get,
[tex]3x+x+3=19\\4x=16\\x=4\\[/tex]
Now putting the value of x in equation 1 we get,
[tex]y=4+3\\y=7[/tex]
Hence the required solution of the above equations is (4,7).
For more details on equation in two variables follow the link:
https://brainly.com/question/10824691
PLEASEEEE HELPPPPPP ASAPPPPP
Answer:
7.07
Step-by-step explanation:
Angle M is 63 degrees because all 3 angles must add to 180.
Now use the law of sines:
sin(90)/x = sin(63)/6.3
Cross multiply: 6.3 sin (90) = x sin (63)
Divide by sides by sin (63): (6.3 sin (90))/sin (63) = x
Use a calculator: 7.07
what is the slope of the line perpendicular to AB if A(-1,10) and B(5,-2)
The slope of the line that is perpendicular to line AB is: 1/2.
Recall:
If line A has a slope of "-a" and it is perpendicular to line B, therefore, the slope of line B will be the negative reciprocal of line A which is 1/a.Slope (m) = change in y / change in x = [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]Given:
A(-1,10)
B(5,-2)
Slope of AB:
[tex]m = \frac{-2 - 10}{5 -(-1)} = \frac{-12}{6} \\\\\mathbf{m = -2}[/tex]
The slope of the line that is perpendicular to line AB will be the negative reciprocal of the slope of AB.
Therefore, the slope of the line perpendicular to AB is: 1/2.
Learn more about slope of a line perpendicular to a line on:
https://brainly.com/question/17990826
!!!!!!!!!!!!!!!100100100100100pts!!!!!!!!!!!!!!!!!!!!!!!!!!
HELP 15 PNTS.
IF CORRECT, WILL MARK BRILLIANT
Answer:
2nd question 4y is a coefficient
Step-by-step explanation:
4y^2 - 18y + 2
4 is the coefficient 18 is also a coefficient, because of the y, 2 is the constant. when a number has a variable, or a letter, it is a coefficient. 4y^2 is a term, 18y is a term, and 7 is a term. 3 terms with a coefficient of 4. i hope you get it right
First person to answer will get brainliest and it has to be in 4 or less minutes
Are the ratios 12:6 and 2:1 equivalent?
Answer:
no
Step-by-step explanation:
https://brainly.com/question/18232055
Answer:
Yes!
Step-by-step explanation:
Here, ratios can be rewritten by fractions.
12:6 is [tex]\frac{12}{6}[/tex] which equals to 2,
2:1 is also [tex]\frac{2}{1}[/tex] which is 2.
To get 12 from 2, you multiply by 6.
Multiply the same thing to the denominator(1), and you get 6. So:
12:6 = 2:1