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
A cell phone company charges 30 per month plus 0.07 per minute if Mr franklin cell phone bill was 59.40 how many minutes did he talk for that month
Answer:
420 minutes
Step-by-step explanation:
first I subtracted 30 from 59.4 and got 29.4
then I divided 29.4 by .07 and got 420
so there you go hope it helped
Evaluate −x when x=16.
Answer:
-x=16
x=-16
Step-by-step explanation:
That is the Answer
HELP !!! HI PLEASE HELP PLEASE I NEED MATH HELP LOL
Answer:
(-1, 0.5)
Step-by-step explanation:
please mark brainliest
What are the slopes (m1 & m2) to
1.)
3x+6=30
&
4y+2x=9
2.)
-x-y=-1
&
y+x=7
Which expression is equivalent to 3/5x +3
2/5x + 1/5x
4/5x - 1/5x + 3
2/5x + 3 3/5x -1
1 + 3/5x + 2
1 +x/5 + 2
1 + 2/5x +3
PLZ HELP find the y and x-intercepts. y=-2x+4 PLEASE EXPLAIN
[tex]\text{Given that,}\\\\y = -2x+4\\\\\text{Plug y= 0 to find the x-intercept,}\\\\0 = -2x +4\\\\\implies 2x = 4\\\\\implies x = \dfrac 42 = 2\\\\\text{So the x - intercept is (2,0)} \\ \\\text{Plug x =0 to find the y-intercept.}\\\\y = -2(0) +4 = 0 +4 = 4\\\\\text{So the y - intercept is (0,4)} \\[/tex]
CAN YOU HELP ME #6 please
Answer:
Step-by-step explanation:
f(x) = (3x+3)/(x-2)
Use a graphing program such as DESMOS. See attachment.
The asymptotes are:
The asymptotes are:
y = ± infinity as x reaches 2
x = ± infinity as y reaches 3
I need to understand this better so Can I please get a step by step explanation? i will give brainiest
Answer:
10 inStep-by-step explanation:
The sides r, 10 and 20 are parallel to each other as all three are perpendicular to same line.
The triangles are similar as two sides are on same lines and another one is parallel as described above.
Work out the value of r using ratios of corresponding sides:
(r + 10)/(10 + 20) = r/10(r + 10)/30 = r/10r + 10 = 3r2r = 10r = 5 inNow, find the distance x from the bottom of the cone to the base of the smallest ball, using same method as above:
(x + r)/r = (x + 2r + 10)/10(x + 5)/5 = (x + 20)/102(x + 5) = x + 202x + 10 = x + 20x = 10If it takes 5 gallons of gas to drive 102 miles, how many miles can be driven using 7 gallons of gas?
Answer:
142.8
Step-by-step explanation:
You can go 20.4 miles per gallon of gas.
You can go 142.8 miles for 7 gallons.
is h(x) = 6 a linear function and why
Answer:
yes, absolutely. specifically it's a horizontal line at 6.
what is 1\2 x 1.25
ljl
Answer:
Step-by-step explanation:
1.25 = 1 1/4
1 1/4 = 5/4
1/2 * 5/4 = 5/8
List the ordered pairs
Step-by-step explanation:
C. in descending order by weight<br /><br />
2x/5=9/15 what does x equal
Answer:
2x/5=9/15
2x=9/3
x=1.5
There are 750 calories in ten ounces of a certain ice cream. How many calories are
there in three pounds?
1 pound = 16 ounces
Before you try that problem, answer the question below.
How many ounces will you need to find the number of
calories for?
try
You must answer all questions above in order to submit.
attempt 1 out of 2
Help me solve this PLEASE?
Work Shown:
1 pound = 16 ounces
3 pounds = 48 ounces (multiply both sides by 3)
Based on that, we can then say,
(750 calories)/(10 ounces) = (x calories)/(48 ounces)
750/10 = x/48
75 = x/48
x/48 = 75
x = 48*75
x = 3600
Classify the triangle shown by its angles and sides. Select all that apply.
Answer:
Step-by-step explanation: just get good at math
explain why 256 + 4 is equivalent to (200 + 4) + (40+4) + (164)
The expression 256 + 4 is equivalent to (200 + 4) + (40+4) + (16+4) according to distributive and commutative property of addition.
Given the expression 256 + 4. This can be solved using the partial sum expressed as:
256 + 4
256 + 4
= (200 + 40 + 16) + 4
According to the commutative property, A+B = B+A
The arrangement does not affect the result. Hence;
(200 + 40 + 16) + 4 = 4 + (200 + 40 + 16)Using the distributive law;
4 +(200 + 40 + 16) = (200 + 4) + (40 + 4) + (16 + 4)
Hence the expression 256 + 4 is equivalent to (200 + 4) + (40+4) + (16+4) according to distributive and commutative property of addition.
Learn more on partial sum here: https://brainly.com/question/6958503
Please hurry and help
15 points
Answer:
A
Step-by-step explanation:
Seems like a reasonable answer choice
In triangle ABC, D is the midpoint of side AB and E is the midpoint of side BC. The area of triangle ABC is 56 square units. Find the number of square units in the area of triangle DBE.
Answer:
YourMom Not Cool
Step-by-step explanation:
yourMom is not cool
STOP CHEATING AND TRYING TO SEE ANSWER
Answer:
5
Step-by-step explanation:
The accompanying table shows the value of a car over time that was purchased for 14000 dollars, where x is years and y is the value of the car in dollars. Write an exponential regression equation for this set of data, rounding all coefficients to the nearest hundredth. Using this equation, determine the value of the car, to the nearest cent, after 12 years.
[tex]\Large\bold\red{Question}[/tex]
Refer to the attachment.
Thank you!
Note:Don't Spam
Don't copy
If you don't know the answer don't answer.
Thank You!
[tex]\huge \rm༆ Answer ༄[/tex]
The equivalent expression is ~
[tex] \boxed {\boxed{ \sf2}}[/tex]Refer to attachment for solution ~
For x such that 0 < x < [tex]\frac{\pi}{2}[/tex], the mathematical expression is:
[tex]\frac{\sqrt{1 \;-cos^2x} }{sinx} + \frac{\sqrt{1 \;-sin^2x} }{cosx} = 1+1=2[/tex]
Given the following data:
[tex]\frac{\sqrt{1 \;-cos^2x} }{sinx}[/tex][tex]\frac{\sqrt{1 \;-sin^2x} }{cosx}[/tex]In Trigonometry, you should take note of the following mathematical expression:
[tex]sin^2x + cos^2x = 1[/tex]
Therefore, we can obtain the following:
[tex]sin^2x = 1 - cos^2x[/tex] ...equation 1.
[tex]cos^2x = 1 - sin^2x[/tex] ...equation 2.
Substituting the equations respectively, we have:
[tex]\frac{\sqrt{1 \;-cos^2x} }{sinx} + \frac{\sqrt{1 \;-sin^2x} }{cosx} = \frac{\sqrt{sin^2x} }{sinx} + \frac{\sqrt{cos^2x} }{cosx}\\\\[/tex]
Taking the square roots, we have:
[tex]\frac{sinx}{sinx} + \frac{cosx}{cosx} = 1 +1\\\\1+1=2[/tex]
Therefore, for x such that 0 < x < [tex]\frac{\pi}{2}[/tex], the expression is:
[tex]\frac{\sqrt{1 \;-cos^2x} }{sinx} + \frac{\sqrt{1 \;-sin^2x} }{cosx} = 1+1=2[/tex]
Read more on trigonometry here: https://brainly.com/question/4515552
Evaluate the expression
-11^3
The value of the expression is
Answer: - 1331
Step-by-step explanation:
(-11)(-11)(-11)
(121)(-11)
- 1331
the difference between 3 1/2 and 1 4/5 is
Answer:
1 7/10
Step-by-step explanation:
3 1/2 - 1 4/5 = ?
3 5/10 - 1 8/10 = ?
2 5/10 - 8/10 = ?
1 15/10 - 8/10 = 1 7/10
The following function represents the value of a car, in dollars, after x years: f(x) = 24,000(0. 92)x What does 0. 92 represent? The present value of the car The value of the car after x years The decrease in the value of the car, which is 92% The decrease in the value of the car, which is 8%.
0.92 represents the decrease in the value of the car which is 8% and this can be determined by using the given data.
Given :
The given function represents the value of a car, in dollars, after x years.[tex]f(x)=24000(0.92)x[/tex]The following steps can be used in order to determine what does 0.92 represents:
Step 1 - Write the given function.
[tex]f(x)=24000(0.92)x[/tex]
Step 2 - In the given function $24000 represents the original value of the car.
Step 3 - According to the given data, 'x' represents the number of years.
Step 4 - Also in the given function, '0.92' represents the decrease in the value of the car which is 8%.
Therefore, the correct option is D).
For more information, refer to the link given below:
https://brainly.com/question/5245372
If you were to graph the function f(x)=−15x+4 on the semester test, you should first graph the y-intercept, then use the slope to graph a second point, and connect the points with a line.
Write the y-intercept of the function f(x)=−15x+4 in the first box. Just write the number, no y= or f(x) =.
Write the slope of the function f(x)=−15x+4 in the second box. Just write the number, no m= or slope=.
Answer:
4
-15
Step-by-step explanation:
HELPP!! Can someone tell me what this expanded form is as a decimal??
(1 x 100) + (9 x 10) + (6 x 1) + (8x1/10) + (8 x 1/100)
5/9 divide 5 in the simplest form
[tex] \: \: \: \: \: \: [/tex]
[tex] = \frac{1}{9} \\ \\ or \: \: in \: \: alternate \: form \: \: \\ \\ 0.1, {3}^{ - 2} [/tex]
Step-by-step explanation:
[tex] \frac{5}{9} \div 5[/tex]
dividing the equivalent to multiplying by the reciprocal[tex] \frac{5}{9} \times \frac{1}{5} [/tex]
reduce the numbers with the greatest common factor 5[tex] = \frac{1}{9} \: \: \\ \\ or \: \: in \: \: alternate \: \: form \\ \\ 0.1, {3}^{ - 2} [/tex]
hope it helpsWrite the equation for the line in slope intercept form
Answer:
y = -x + 5
Step-by-step explanation:
lmk if you want an explanation
what is the slope of the line tha passes through the points (4,-9) and (8,-3)
Plzz help Drag each graph to the correct location on the table.
The points on the graphs represent relations. Classify these relations according to whether or not they are functions.
Answer:
Functions: Second Graph
The other two are not. Use the vertical line test. I'm pretty sure but not 100%
Step-by-step explanation:
Need help with this thank u
Answer:
Add 1 multiply by two
Step-by-step explanation:
As you see when 0 goes to 1, 9 goes to 18 so it is add 1 multiply by two.
Answer:
y=9x+9
Step-by-step explanation:
y=mx+c
You can use any of the 2 points
pnt1. (1;18)
pnt2. (3;36)
find the gradient
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]m = \frac{36 - 18}{3 - 1} [/tex]
[tex]m = \frac{18}{2} [/tex]
[tex]m = 9[/tex]
substitute one point and gradient to find c
y=mx+c
18=9(1)+c
18=9+c
c=18-9
c=9
therefore the equation is y=9x+9