Answer:
43 becuase 8 3/5 times 5
Step-by-step explanation:
Simplify (6^7)^3.
A. 6^21
B. 42^3
C. 6^10
D. (1/6)^21
Answer:
A. 6^21
Step-by-step explanation:
When you see a parenthesis in which the number inside has a power, and there is a power outside the parenthesis, you multiply the powers.
(6^7)^3 = 6^(7 * 3) = 6^21
A. 6^21 is your answer.
~
Answer:
A. 6^21
Step-by-step explanation:
A rectangular table is four times as long as it is wide. If the area is 36 ft2, find the length and the width of the table.
Answer:
The width is 3 ft
The length is 12 ft
Step-by-step explanation:
Let w = width
l = 4w
A = l*w
Replace length with 4w
A = 4w*w
36 = 4 w^2
Divide each side by 4
36/4 = 4w^2/4
9 = w^2
Take the square root of each side
sqrt(9) = sqrt(w)
3 =w
The width is 3 ft
The length is 4*3 = 12 ft
What is the square root of -1
Answer:
The square root of ( -1 ) is i
Answer:
the square root of -1 is i
Have a nice day! :D
Step-by-step explanation:
If y = −2 when x = 1, find x when y = 4
Answer:
if y=4 then x=7
Step-by-step explanation:
y=2 when x = 1
that what l think
Let g be the piecewise defined function shown.
g(x)=
x + 4, −5 ≤ x ≤ −1
2 − x, −1 < x ≤ 5
Evaluate g at different values in its domain.
g(−4) =
g(−2) =
g(0) =
g(3) =
g(4) =
Answer:
Yup 0,2,2,-1,-2
Step-by-step explanation:
Edg 2020
The value of g(-4) for the given function g(x)=x+4 is 0.
What are piecewise functions?Piecewise functions are functions that have multiple pieces, or sections. They are defined piece by piece, with various functions defining each interval. Piecewise functions can be split into as many pieces as necessary. Each piece behaves differently based on the input function for that interval. Pieces may be single points, lines, or curves.
For −5 ≤ x ≤ −1
Lets take all range of values of x
g(-5) = x + 4 = -5 + 4 = -1
g(-4) = x + 4 = -4 + 4 = 0
g(-3) = x + 4 = -3 + 4 = 1
g(-2) = x + 4 = -2 + 4 = 2
g(-1) = x + 4 = -1 + 4 = 3
For −1 < x ≤ 5
Lets take all range of values of x
g(0) = 2 - x = 2 - 0 = 2
g(1) = 2 - x= 2 - 1 = 1
g(2) = 2 - x= 2 - 2 = 0
g(3) = 2 - x= 2 - 3 = -1
g(4) = 2 - x= 2 - 4 = -2
g(5) = 2 - x= 2 - 5 = -3
Therefore, the value of g(-4) for the given function g(x)=x+4 is 0.
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Use the add-on method for determining interest on a loan of $1730, with an annual rate of 12% and a term of 2 years. Then, determine the annual interest rate during the last month of the loan.
Use the add-on method for determining interest on a loan of $1730, with an annual
A student’s score on an exam is an integer between 0 and 100. A score of 90 to 100 is an A, 80 to 89 is a B, 70 to 79 is a C, 60 to 69 is a D, and below 60 is a failing grade of F. It is known that scores between 51 and 100 are equally likely and scores less than 50 cannot occur. Find the following probabilities: (a) Find the probability the student gets an A? (b) Find the probability that student fails the exam. (c) Find the probability that the student who is known not to have a C grade, has a B grade. (d) Find the probability that a student who is known to have passed the course, has a B grade.
Answer:
A. 0.22
B. 0.18
C. 0.25
D. 0.244
Step-by-step explanation:
S = {51 to 100} = 50
The sample space S contains values from 51 to 100 which is a total of 50 different values.
A.
Probability of A (lies between the values of 90 to 100 = 11).
11/50 = 0.22
B.
For a student to fail the course, his course has to be less than 60 = from 51 to 59. A total of 9 values.
9/50 = 0.18
C.
For student to get c, (70 to 79) a total of 10 values: 10/50 = 0.20
P(student did not get C) = 1-0.20 = 0.80
To get B, ( 80 to 89)
10/50 = 0.20
Probability that a student who is known not to have a c grade has a b grade = 0.20/0.80 = 0.25
D.
Probability of passing lies between 60 to 100 = 41 scores
41/50 = 0.82
Probability of student who passed having a B = 0.20/0.82 = 0.244
The price of a floor tile is $3 per square foot, and the cost of shipping is $20. You are adjusting the size of your bathroom according to the space availability. You would like to estimate the rate of change of cost for flooring that you expect when you change the size of the square bathroom of current length 10 feet. Assume xx to be the length of a square shaped bathroom. Include units in all parts. a. Calculate the average rate of change of cost when you change your bathroom from 10 feet to 12 feet long. b. Calculate the instantaneous rate of change of cost at length 10 feet. c. If the cost of shipping also depends on the length according to \$20(1 \sin{x})$20(1 sinx), what is the instantaneous change of cost at length 10 feet.
Answer:
a
[tex]A = \$66 \foot [/tex]
b
tex]C(10)' = \$60 / feet[/tex]
c
[tex]C(10)' = \$79.696 \ feet [/tex]
Step-by-step explanation:
From the question we are told that
The price per square foot of a floor tile is [tex]p = \$ 3[/tex]
The cost of shipping is [tex]s = \$ 20[/tex]
The current length of the square bathroom is x = 10 ft
The new length is [tex]x_ 1 = 12 \ ft[/tex]
Generally the equation representing the cost of the square tile is mathematically represented as
[tex]C(x) = 3x^2 + 20[/tex]
Generally the average rate of change of cost is mathematically represented as
[tex]A = \frac{ cost \ for\ a \ 12 feet \ bathroom - cost \ for\ a \ 10 feet \ bathroom }{12 feet - 10 feet}[/tex]
Generally the cost for flooring a 12 feet square bathroom is mathematically represented as
[tex]C(12) = 3(12)^2 + 20[/tex]
=> [tex]C(12) = \$ 452 [/tex]
Generally the cost for flooring a 10 feet square bathroom is mathematically represented as
[tex]C(10) = 3(10)^2 + 20[/tex]
=> [tex]C(10) = \$320[/tex]
So
[tex]A = \frac{ 452- 320 }{12 feet - 10 feet}[/tex]
=> [tex]A = \$66 \foot [/tex]
Generally the instantaneous rate of change of cost is obtained by the differentiating the cost function as follows
[tex]C(x) = 3x^2 + 20[/tex]
[tex]C(x)' = \frac{dC(x)}{dx} = 6x[/tex]
So the instantaneous rate of change of cost at length 10 feet is mathematically represented as
[tex]C(10)' = 6(10)[/tex]
=> [tex]C(10)' = \$60 / feet[/tex]
Generally given that the new cost function is
[tex]C(x) = 20(1 + sinx) + 3x^2[/tex]
Now the instantaneous rate of change of cost will now be
[tex]C(x)' = 20cos(x) + 6x[/tex]
So the instantaneous rate of change of cost at length 10 feet is mathematically represented as
[tex]C(10)' = 20cos(10) + 6* 10 [/tex]
=> [tex]C(10)' = \$79.696 \ feet [/tex]
Choose the equation below that represents the line passing through the point (2, -5) with a slope of -3.
y = -3% - 13
Oy=-3x + 13
Oy=-3x + 1
Oy=-3x + 11
Answer:
D
Step-by-step explanation:
Slope
All answers agree that the slope = - 3
y intercept
So far what you know is that the line is
y = -3x + b
The point shows that
5 = -3*2 + b Combine right
5 = -6 + b Add 6 to both sides
5 + 6 = -6+6 + b Combine
11 = b
So the y intercept = 11
Answer: y = -3x + 11 D
What is 4.345 × 10^5 in standard form?
You may need to erase the comma
To get this answer, move the decimal point to the right 5 spaces to go from 4.345 to 434,500
If the exponent was -5, then you would move five spaces to the left.
Odd numbers 3 and 19
Find the measure of angle 1.
152
115
mZ1 =
Please help mee:(
Answer:
37°
Step-by-step explanation:
We have been given the diagram of the triangle;
To find the angle I;
We need to apply one of the geometry laws,
The sum of adjacent internal angles of a triangle gives the external angle;
So;
I + 115 = 152
Solve for I;
I = 152 - 115 = 37°
I need hhhheeeellllpppp!!!! HURRY PLS will be thanked lol
Answer:
Just saying I LOVE THESE the slope is 3/2
Step-by-step explanation:
Answer:
-4 to -4
Step-by-step explanation:
-------------------------
-4 -4
Solve for x. Show each step of the solution 4.5 ( 8 - x ) + 36 = 102 - 2.5 ( 3x + 24)
Answer:
X=-10
Step-by-step explanation:
Answer:
x = -10
Step-by-step explanation:
4.5(8-x) + 36 = 102 - 2.5(3x+24)
36 - 4.5x + 36 = 102 - 7.5x - 60
72 - 4.5x = 42 - 7.5x
72 + 3x = 42
3x = -30
x = -10
What is the median for the set of data?
A. 70
B. 71
C. 72
D. 74
Answer:
Median = 72
Step-by-step explanation:
Round 7347803 to the nearest hundred thousand
Answer:
the answer is 7,348,000
Step-by-step explanation:
pls help! thank you:) I will make brainleist
Answer:
4x+1 = 3x-2
Step-by-step explanation:
4x+1=3x-2 subtract 3x and 1 from both sides
x= -3
explain how polygon A is congruent to polygon B
Answer:
polygon B is just polygon B flipped to the side
Step-by-step explanation:
polygon B is just polygon B flipped to the side
nova needs to determine the number of books that will fit into a box. if the box has the length of 18 inches and each book is 2/9 of an inch thick, which expression can be used to determine the number of books that will fit into the box
Answer:
First we know that each book is 2/9 inch thick
- The total length of the box is 18 inches
- And we can fill the box with x Amounts of 2/9 inch books as long as the total length DO NOT SURPASS 18 inches
Step-by-step explanation:
In which x is the total number of books
Answer:how does it go again
Step-by-step explanation:
pe pe po po pe pe pp po
(18 - ab) + 4b (if a = -2 and b = -5)
Answer:
-12
Step-by-step explanation:
if a=-2 and b=-5
(18-(-2×-5))+4(-5)
(18-(10))-20
8-20
-12
just gotta plug in the given into the equation
Answer:
person above me is correct
Step-by-step explanation
(5.6x10^4)x(1.3x10^8)
Answer:
(5.6x10^4)x(1.3x10^8) = 7.28 x 10^12
Answer: =7.28x100010001
Step-by-step explanation: 5.6x104x(1.3x108)
Simplifies to:
7.28x100010001
what is the answer of this 100 x 20 =
Answer:
2,000
Step-by-step explanation:
An easy way of solving problems like these is to count the number of zeros in the equation, temporarily remove them, solve the new problem, and then add all the zeros that you removed before. In this case:
100 x 20 = ?
1 x 2 = ? | 000
2 | 000
2,000
Here's another example:
300 x 5000 = ?
300 x 5000 = ?
3 x 5 = ? | 00000
15 | 00000
1,500,000
a scuba diver 9 1/2 feet below sea level viewing some tropical fish. she descends [swims downward] 10 1/2 feet to get closer look at a manta ray swimming on the sea bottom.
Answer:
Step-by-step explanation:
Answer:
it that going to come on cxc
In a computer instant messaging survey, respondents were asked to choose the most fun way to flirt,
and it found that P(D) = 0.710, where D is directly in person. If someone is randomly selected, what does
PD) represent, and what is its value?
What does Po represent?
O A. P(D) is the probability of randomly selecting someone who did not participate in the survey.
OB. P(D) is the probability of randomly selecting someone who chooses a direct in-person
encounter as the most fun way to flirt.
OC. P(D) is the probability of randomly selecting someone who does not choose a direct in-person
encounter as the most fun way to flirt.
OD. P(D) is the probability of randomly selecting someone who did not have a preference in
regards to the most fun way to flirt.
PD = (Simplify your answer.)
Answer: C , 0.29
Step-by-step explanation:
P(D) is the probability flirting of directly in person.
represents probability of flirting other than in person.
P(D)=0.710.
= 1 - 0.710.
= 0.29
Hence the value of Upper P left parenthesis Upper D overbar right parenthesis is 0.29.
Help! I’ll mark you brsinly
Determine whether the relation (1,−2), (2,1), (3,6), (4,13), (5,22) is a function. Explain.
Answer:
Since there is one value of y for every value of x in ( 1,−2) ,( 2,1),(3,6), (4,13 ) ,(5 ,22 ) , this relation is a function.
The relation is a function.
A relation is a function if it has only one y-value for each x-value. The relation (1,−2), (2,1), (3,6), (4,13), (5,22) is a function.
What is a function?A relation is a function if it has only one y-value for each x-value.
The given relation is one comma minus two
two comma one
three comma six
four comma thirteen
five comma twenty two.
(1,−2), (2,1), (3,6), (4,13), (5,22)
In the ordered pairs (x, y) , there should not have same y value.
As we observe there are only one y values for x value.
Every domain element is have unique codomain element.
Hence the relation (1,−2), (2,1), (3,6), (4,13), (5,22) is a function.
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Emily earns extra spending money by babysitting children in her neighborhood. On Tuesday, she earned $16 for baby sitting for 2 hours. On Saturday, she earned $40 for baby sitting for 5 hours. let x represents the number of hours and y represents the amount earned. What is the rate of change? *
1 point
A. 24/7
B. 8/1
C. 38/11
D. 7/2
Answer:
2000
Step-by-step explanation:
2000+40+16*2
2000
what is Arithmetic Series
Answer:
I am pretty sure it is when you have a sequence of numbers that you are subtracting or adding from by the same constant over and over
Step-by-step explanation:
an=a1+(n-1)d
d=common difference
an= the nth term in the sequence
a1 first term in the sequence. (Usually you can plug in 1, as the n, and work from there)
What is 3/4 divided by 9?
Answer:
1/12 or 0.0833333333333
Step-by-step explanation:
please help. im really struggling,
Answer:
3/10 =a
Step-by-step explanation:
X*1/5×3/2 =X*a
X*3/10 =X*a
base are same so
3/10 =a