Answer:
it is 8^2.
Step-by-step explanation:
8 ^ 3 = 8 x 8 x 8
8^3/8 = 8 x 8 x 8 / 8
you cross one 8 on the bottom and the top which leaves you with 8 x 8 or 8^2
Answer:
Solution given:
single positive exponent
[tex]\frac{8^{3} }{8}=8^{3-1}=8² [/tex]
single positive exponent is 8².
Note:
we have
[tex]\frac{x^{a}}{x^{b}}=x^{a-b}[/tex]
You use a technical support company for your computer. The company bills you at a rate of $10 per month and $35 per hour for phone support.
a. Identify the fixed cost (the constant).
b. Identify the independent variable (x).
c. Identify the dependent variable (y).
d. Write an equation that describes the situation above.
e. If you were billed $97.50 for last month, how many hours of phone support did you need? Show all work.
Answer:fixed cost=10
Independent variable=months paid
Dependent=hours on support
month=x,h=hour,10x+35h=total cost
97.50=10+35h
87.50=35h
h=2.5 hours
Step-by-step explanation:
showed work
What must be added to 3x^3+x^2-22x+9 so that the result is exactly divisible by 3x^2+7x-6.
Answer:
Step-by-step explanation:
find the value of X.
L,M∈KN
help me please i need short answer :)
Answer:
they are on opposite sides whick makes them in the opposite
12x - 2/3 = 83 1/3
Can you please help me solve to find X?
let's firstly convert the mixed fraction to an improper fraction, and then let's multiply both sides by the LCD of all denominators
[tex]\stackrel{mixed}{83\frac{1}{3}}\implies \cfrac{83\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{250}{3}} \\\\[-0.35em] ~\dotfill\\\\ 12x-\cfrac{2}{3}=\cfrac{250}{3}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3\left( 12x-\cfrac{2}{3} \right)=3\left( \cfrac{250}{3} \right)}\implies 36x-2=250 \\\\\\ 36x=252\implies x=\cfrac{252}{36}\implies x=7[/tex]
F(x) = 3x -4 find each value of F(0)
Answer:
Step-by-step explanation:
Rewrite the function as an equation.
y
=
3
x
−
4
Use the slope-intercept form to find the slope and y-intercept.
Tap for fewer steps...
The slope-intercept form is
y
=
m
x
+
b
, where
m
is the slope and
b
is the y-intercept.
y
=
m
x
+
b
Find the values of
m
and
b
using the form
y
=
m
x
+
b
.
m
=
3
b
=
−
4
The slope of the line is the value of
m
, and the y-intercept is the value of
b
.
Slope:
3
y-intercept:
(
0
,
−
4
)
100 Points!!!!!!!!!
Which of the vectors a =(1,2), b=(0,1), c=(-2,-4) ,u=(-2,1),v=(2,4),w=(-6,3) are: In the same direction?
Which of the vectors a =(1,2), b=(0,1), c=(-2,-4) ,u=(-2,1),v=(2,4),w=(-6,3) are: In opposite directions?
Which of the vectors a =(1,2), b=(0,1), c=(-2,-4) ,u=(-2,1),v=(2,4),w=(-6,3) are: Orthogonal?
Answer:
its u=(-2,1)
Step-by-step explanation:
The lengths of leaves on a tree are normally distributed with a mean of 5.9 centimeters and a standard deviation of 0.8 centimeters.
What is length of a leaf on the tree with a z-score of 0.3?
Enter your answer, rounded to the nearest tenth.
cm =
Answer:
6.14 cm
Step-by-step explanation:
[tex]z=\frac{x-\mu}{\sigma}\\\\0.3=\frac{x-5.9}{0.8}\\\\(0.3)(0.8)=x-5.9\\\\0.24+5.9=x\\\\6.14=x[/tex]
HELP ME ASAP HELP ME ASAP HELP ME ASAP
Answer:
First, plot the y-intercept. The y-intercept is 1, so plot the point (0,1).
Then go up 2 points and to the right 3 points and plot a point there. (3,3)
We go to the right because the slope is positive.
Draw a line through the two points.
Step-by-step explanation:
y = mx+b
m = slope
b = y-intercept
A landscaper is raising the price she charges to mow a lawn by 20%. She used to charge
$30 to mow a lawn.
Part A
What is her new rate?
Answer $ _____ per lawn
Part B
Suppose the landscaper lowers her new rate by 20%. What is her rate now?
Answer $ _____ per lawn
Answer:
Rate when price rises 20% = $36
Rate when price downs 20% = $24
Step-by-step explanation:
Given:
Current rate to mow = $30 per lawn
Find:
Rate when price rises 20%
Rate when price downs 20%
Computation:
Rate when price rises 20%
Rate when price rises 20% = Current rate to mow + 20%[Current rate to mow]
Rate when price rises 20% = 30 + 20%[30]
Rate when price rises 20% = 30 + 6
Rate when price rises 20% = $36
Rate when price downs 20% = Current rate to mow - 20%[Current rate to mow]
Rate when price downs 20% = 30 - 20%[30]
Rate when price downs 20% = 30 - 6
Rate when price downs 20% = $24
Identify the inverse function of f(x)=√x - 2 + 3.
A) f-¹(x) = (x + 2)² - 3
B) f-1(x) = (x - 3)² + 2
C) f-¹(x) = √x + 2 - 3
D) ƒ-1(x) = √x + 3 − 2
Questi
The inverse of the function f(x) =√x - 2 + 3 is (x - 3)² + 2 so, option B is correct.
What is the function?An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships.
Given:
f(x)=√x - 2 + 3.
The inverse function can be found as shown below,
f⁻(x) = √(y - 2) + 3 (Replace x by y)
x = √(y - 2) + 3
solve the equation as shown below,
x - 3 = √(y - 2)
Squaring both sides,
(x - 3)² = [√(y - 2)]²
x² + 9 - 6x = y - 2
x² + 9 - 6x + 2 = y
y = x² - 6x + 11 or y = (x - 3)² + 2
Thus, the inverse of the function is (x - 3)² + 2.
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Could someone pls help me solve this ive been struggling for the past hour.no calculator allowed but im allowed a trigonometric circle.thx
The numeric value for each trigonometric expression is given as follows:
3. [tex]\sin{\left(-\frac{5\pi}{6}\right)}\cos{\left(\frac{2\pi}{3}\right)} - \cos{(-\pi)} = \frac{5}{4}[/tex]
4. [tex]\frac{\sin{\left(\frac{\pi}{4}\right)}}{\cos^2{\left(\frac{\pi}{3}\right)}} = 2\sqrt{2}[/tex]
How to obtain the numeric value for the trigonometric expressions?The first trigonometric expression for this problem is defined as follows:
[tex]\sin{\left(-\frac{5\pi}{6}\right)}\cos{\left(\frac{2\pi}{3}\right)} - \cos{(-\pi)}[/tex]
The numeric value of each term of the expression is given as follows, using equivalent angles on the trigonometric circle:
[tex]\sin{\left(-\frac{5\pi}{6}\right)} = \sin{\left(2\pi - \frac{5\pi}{6}\right)} = \sin{\left(\frac{7\pi}{6}\right)} = -\sin{\left(\frac{\pi}{6}\right)} = -\frac{1}{2}[/tex] (negative to positive, then find equivalent of the third quadrant angle on the first).[tex]\cos{\left(\frac{2\pi}{3}\right)} = -\cos{\left(\pi - \frac{2\pi}{3}\right)} = -\cos{\left(\frac{\pi}{3}\right)} = -\frac{1}{2}[/tex] (cosine on the second quadrant is negative).[tex]\cos{(-\pi)} = \cos{(\pi)} = -1[/tex] (cosine is an even function).Hence:
[tex]\sin{\left(-\frac{5\pi}{6}\right)}\cos{\left(\frac{2\pi}{3}\right)} - \cos{(-\pi)} = \left(-\frac{1}{2}\right)^2 + 1 = \frac{1}[4} + 1 = \frac{5}{4}[/tex]
For item 4, the angles are on the first quadrant, hence:
[tex]\sin{\left(\frac{\pi}{4}\right)} = \frac{\sqrt{2}}{2}[/tex][tex]\cos{\left(\frac{\pi}{3}\right) = \frac{1}{2}[/tex]Hence the numeric value of the expression is given as follows:
[tex]\frac{\frac{\sqrt{2}}{2}}{\left(\frac{1}{2}\right)^2} = 4 \times \frac{\sqrt{2}}{2} = 2\sqrt{2}[/tex]
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52 > 43 + w
is it a solution?
7 yes or no
4 yes or no
13 yes or no
9 yes or no
answer with a yes or no for EACH one
HELP
Answer:
7 - Yes
4 - Yes
13 - No
9 - No
Step-by-step explanation:
43 + 7 = 50
52 > 50
43 + 4 = 47
52 > 47
43 + 13 = 56
56 is not less than 52
43 + 9 = 52
52 = 52
Answer:
Substitute the numbers for w
Step-by-step explanation:
Mona's new bicycle weighs 1812 pounds.
Weight Equivalent
1 kg = 2.2 pounds
Using the table above, about how many kg does her bike weigh?
A
8
B
16
C
41
D
84
answer
B.16PO _^^ PLSPLSThe frequency distribution of birthweights in human infants is bell shaped with most birthweights in the middle of the range. What type of selection does this demonstrate
On solving the provided question, we can say that stabilizing selection type of selection does this demonstrate is shown by frequency distribution.
what is frequency distribution?In order to make the information easier to understand, frequencies are organized into frequency distributions, which are visual displays. The frequencies displayed in a frequency distribution can be absolute or relative, like ratios or percentages. Both a graph and a table of frequencies can be used to represent a frequency distribution. Both the exact number of observations and the proportion of observations falling within each range can be displayed in a frequency distribution. A relative frequency distribution is the name given to the distribution in the latter scenario. The frequency of an observation is the frequency with which it appears in the data. The frequency of the number 9 in the following list of numbers, for instance, is 5. (because it occurs 5 times). 1, 2, 3, 4, 6, 9, 9, 8, 5, 1, 1, 9,
stabilizing selection type of selection does this demonstrate is shown by frequency distribution.
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Complete question: The frequency distribution of birthweights in human infants is bell shaped with most birthweights in the middle of the range of birthweights. What type of selection does this exemplify?
Find the area of the trapezoid below to the nearest tenth.
Answer:
Area of trapezoid = 67.6 square units
Step-by-step explanation:
Area of a trapezoid is given by the expression,
Area of the trapezoid = [tex]\frac{1}{2}(b_1+b_2)h[/tex]
Here, [tex]b_1[/tex] and [tex]b_2[/tex] are the parallel sides of the given trapezoid.
And '[tex]h[/tex]' = Height between the parallel sides
From the given triangle ABE,
m(∠ABE) = m(∠ABC) - m(∠EBC)
m(∠ABE) = 120° - 90°
= 30°
By applying cosine rule in the given triangle,
cos(30°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{\sqrt{3} }{2}=\frac{BE}{AB}[/tex]
[tex]\frac{\sqrt{3} }{2}=\frac{BE}{6}[/tex]
BE = [tex]3\sqrt{3}[/tex] units
By applying sine rule in ΔABE,
sin(30°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{1}{2}=\frac{AE}{AB}[/tex]
[tex]\frac{1}{2}=\frac{AE}{6}[/tex]
AE = 3 units
Length of [tex]b_1=BC=10[/tex]
Length of [tex]b_2=AD=(AE+EF+FD)[/tex] [AE = FD, since given trapezoid ABCD is an isosceles trapezoid]
[tex]b_2=3+10+3[/tex]
[tex]b_2=16[/tex]
Height between the parallel sides [tex]h=3\sqrt{3}[/tex]
Area of the trapezoid = [tex]\frac{1}{2}(BC+AD)BE[/tex]
= [tex]\frac{1}{2}(10+16)(3\sqrt{3})[/tex]
= [tex]39\sqrt{3}[/tex]
= 67.6 square units
18 different rides. cost 1.75 the function c(R)=1.75
Answer:
Step-by-step explanation:
Domain= [0,18], Range = [0,31.50]
If Charlie will only go to a single ride one time the possible rides he could go on would be 0 rides to all 18 rides for a domain of [0,18]. The output of the maximum and minimum x values would give us 0 dollars for riding 0 rides and 31.50 for riding all 18 (1.75 *0 = 0) and (1.75*18 = 31.50) so the range is [0, 31.50]
The two lines below intersect as shown What is the value of x?
line one (2r + 29)
line two (9x-13)
Answer:
x = 6
Step-by-step explanation:
because we know the lines intersect we also know the 2 angles are vertical meaning they are equal to each other
Knowing the angles are equal to each other you can make the equation
2x + 29 = 9x - 13
then you solve for x in this equation
2x + 29 = 9x - 13
(subtract 2x from both sides)
29 = 7x - 13
(add 13 to both sides)
42 = 7x
(divide by 7 on both sides)
6 = x
x = 6
P = 4x + 3y
x = 5
y=-2
(a) Work out the value of P.
(b) Expand 4e(e + 2)
Answer:
P=4×5+3×-2
P= 20x-6y
4e²+8e
which is 9% written as a decimal A) 0.009 B) 0.09 C) 0.9 D) 9.0 E) 90.0
Answer:
B.
Step-by-step explanation:
I used the percent button on my calculator. :)
Hope this helps
its not that i want to kill her is just i dont want her to be alive :)
Answer: Such a feeling sure is conflicting. You don't want her alife but dead but at the same time you don't want to be the one committing the murder. My sympathies.
A geometric sequence is shown.
Fill in the missing terms for the geometric sequence.
What is the common ratio for this geometric sequence?
......... ,-11, 22, ....... , 88, -176.
Common ratio:........
The common ratio for the given sequence is -2.
Any term in the provided geometric sequence can be divided by the term before it to determine the common ratio.
For instance, the ratio obtained by dividing 22 by -11 is 2, the ratio obtained by dividing 88 by 22 is 4, and so on. This approach allows us to determine that the general ratio is -2. This indicates that the previous term is multiplied by -2 to produce each word in the sequence.To put it another way, the sequence begins with -11, and each term after that is acquired by multiplying the previous term by -2. Therefore, -11 x (-2) = 22 would be the following number, followed by 22 x (-2) = -44, and so on.So the common ratio of the given sequence is -2.
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Does anyone know how to solve this?
Answer:
the answer for first question is $112.
the answer for second question is 16 trips.
Step-by-step explanation:
Hope it helps you!!
Step-by-step explanation:
a) 224-14(8)=224-112=112dollars
b) 112 divided by 14=8trips
Personal Finance
Which of these is an economic good?
a motel room
camping in a cave
fresh air
water from a spring
Answer:
Fresh air
Step-by-step explanation:
Shay and Nadine solve this problem in two different ways.
Mark has $25 in his bank account.
He makes $7 per hour babysitting.
How many hours must he babysit to have a total of $165 in his account?.
Use the drop-down menus to complete the sentences below.
Shay's
Assignment
25+7h-165
25-25 7h-165-25
7h-140
7h-140
7h 7h
A-20
Nadine's
Assignment
166-25-140
You need to make
$140 babysitting
140
-20
You need to babysit
for 20 hours
Please Help!
On solving the provided proportionality question we got that, U = 7.72, is rounded off nearest to tenth digit.
What is proportionality?When two quantities or variables are linearly related in mathematics, the term "proportional" is used. Both quantities increase by two times when one increases by two. Each variable decreases in proportion to the other when it falls to 1/100th of its previous value.We must determine the ratio of the two quantities for each value supplied in order to determine if two quantities are proportionate. The proportionate link between them is evident if their proportions are equal. Their connection is not proportionate if all the ratios are out of balance.
Here,
U/5 = 17/11
U = 17/11 X 5
U = 7.72
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Consider the sequence of steps to solve the equation:
5(x - 3) = 7x/2
Step 1 ⇒ 10(x - 3) = 7x
Step 2 ⇒ 10x - 30 = 7x
Step 3 ⇒ 3x - 30 = 0
Step 4 ⇒ 3x = 30
Step 5 ⇒ x = 10
Identify the property of equality which yields Step 5.
A. Division Property
B. Addition Property
C. Subtraction Property
D. Multiplication Property
Quick
Check
Match the scenario to the probability of it occurring.
1/6
rolling a 3 on a number cube
1/3
flipping a coin to get tails up
spinning blue on a spinner with four
different colors in four equal parts
1/4
pulling a white marble froma bag of 2
white marbles and 4 red marbles
1/2
Answer:
1/6 ; 1/2 ; 1/4 ; 1/3
Step-by-step explanation:
Rolling 3 on a number cube ;
Required =1 ; number if faces on a number cube = 6
P = 1/6
Flipping a coin to get tail up = 1/2
Number of faces on a coin = 2
P = 1 / 2
spinning blue on a spinner with four different colors in four equal parts = 1/4
Total possible outcomes = 4
P = 1 / 4
pulling a white marble froma bag of 2 white marbles and 4 red marbles
Total number of marbles = (2 + 4) = 6
Number of white marbles = 2
P = 2 / 6 = 1 /3
help me plssss it’s due tonight
Answer:
Answer choice A
Step-by-step explanation:
This is the midpoint of both coordinates.
30 POINTS!!!
If the measurements for a living room were 5 1/2 by 3 ft. If the scale is 1/2 ft = 2 1/2 meters. If carpet cost 1.50 per square foot, how much will it cost to cover the living room floor?
Answer:
fvbbbbb
Step-by-step explanation:
Daily Question 8/4/20: Cities A, B, C, D, and E are connected by roads AB, AD, AE, BC, BD, CD, and DE (see figure). How many different routes are there from A to B that use each road exactly once?
Geometrically there are 16 different routes from A to B that use each road exactly once.
What is geometry?
The area of mathematics known as geometry is concerned with the dimensions, sizes, forms, and angles of a wide range of everyday objects. Geometry comes from the Ancient Greek terms "geo" and "metron," which both imply "measuring."
Keep in mind that cities C and E can be excluded from the count of paths because there is only one road that can lead out of either city if a path enters it. The geometric diagram is shown below.
Now move on to the casework. It's important to keep in mind that there are two routes from A to D, D to A, B to D, and D to B.
Case 1: A⇒D: If the path from D leads back to A, the subsequent path must go to B⇒D⇒B. The path ADABDB has 2×1×2=4 possible outcomes. The path must continue with either BDAB or BADB if it leads from B to D. There are 8 possibilities as 2×2×2=8. Therefore, there are 4+8=12 potential outcomes in this scenario.
Case 2: A⇒B: BDADB must be the next step on the path. There are 2×2=4 options in this situation.
Combining the two situations results in 12+4=16.
Therefore, there are 16 different routes.
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