given ∛1000
∛1000 = ∛(10 × 10 × 10)
∛1000 = 10
A sloth travels about 7 feet every minute. Generate the set of ordered pairs for the ratio relationship between the total distance traveled y and the number of minutes x for a total of 1, 2, 3, and 4 minutes.
Answer:
(1, 7)
(2, 14)
(3, 21)
(4, 28)
Step-by-step explanation:
please help reflictions
Answer:
A would be reflected on the y-axis first then translated up 6 units
Step-by-step explanation:
DES
Question: 2/20
Find the next number in the sequence: 1, 1, 2, -1, 1, -2, -1,
Eigenvalues are the special set of scalar values that is associated with the set of linear equations most probably in the matrix equations. The eigenvectors are also termed as characteristic roots. It is a non-zero vector that can be changed at most by its scalar factor after the application of linear transformations.
0 Eigenvalue
3 Eigenvalue
The y values of any nxn matrix A that adhere to the following criteria are considered to be its eigenvalues.
When I is the order n identity matrix, det(A - yI) = 0.
In this case, A = [1 2; 1 2], I = [1 0; 0 1], and yI = [y 0; 0 y]. I've added a new line in this notation with ;.
A - yI = [1-y 2; 1 2-y]
det(A - yI) = 1 - y* In other words, - 2 = = 2 - y - 2y + y2 - 2 = 0 = y2 - 3y = 0 = y(y-3) = 0.
y = 0 or y - 3 = 0
y = 3
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Rewrite the expression [tex]\sqrt (4x)}[/tex] using rational exponents
The expression √4x using rational exponents ( 4x )^{\frac{1}{2} } .
What is rational exponents?
Expressions having exponents that are rational values are known as rational exponents (also known as fractional exponents) (as opposed to integers ). It is beneficial to give rational exponents serious consideration even though all the standard exponent criteria still apply.What is Integer Exponents?
In mathematics, exponents that should be integers are known as integer exponents. It may be an integer that is either positive or negative. It specifies how many times the base number should be multiplied by itself using positive integer exponents.√4x
use [tex]\sqrt[n]{a^{x} } = a^{x/n}[/tex]
to rewrite
√4x = [tex]( 4x )^{\frac{1}{2} }[/tex]
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Which mixed number is equivalent to the improper fraction?
2/
OA. 22
O B. 22
7
O C. 11/1/2
O D. 32
Answer:
answer should be A. 2⅖
Step-by-step explanation:
you can find out by turning it into an improper fraction: =5×2+2/5
=10+2/5
=12/5
Find the distance between X(-2,4) and Y(6,1)
Answer:
Exact Distance = [tex]\boldsymbol{\sqrt{73}}[/tex] units
Approximate Distance = 8.544 units
====================================================
Explanation:
I'll relabel the points as A and B, and I'll be using the distance formula.
[tex]A = (x_1,y_1) = (-2,4) \text{ and } B = (x_2, y_2) = (6,1)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-2-6)^2 + (4-1)^2}\\\\d = \sqrt{(-8)^2 + (3)^2}\\\\d = \sqrt{64 + 9}\\\\d = \sqrt{73}\\\\d \approx 8.544\\\\[/tex]
The exact distance is [tex]\sqrt{73}[/tex] units.
The approximate distance is roughly 8.544 units.
Round the approximate value however your teacher instructs.
A rectangular garden is to be constructed so that the width is 150 ft. What are the possible values for the length of the garden if
at most 1200 ft of fencing
is to be used?
The possible values of the length of the garden is 151 ft to 450 ft. The length of the rectangle garden can vary from 151 ft to 450 ft
Given that A rectangle garden is to be constructed so that the width is 150 ft and atmost fencing can be used is 1200ft and asked to find the possible values of length of the rectangle garden.
It mean maximum value of perimeter = 1200ft
The minimum perimeter can be 2(150+151)=602ft as the length of rectangle must be greater than the bredth of rectangle
Therefore the minimum value of length of rectangle is 151 feet
The maximum perimeter is 1200ft
1200=2(150+length of rectangle)
Maximum value of the length of the rectangle=450ft
Therefore,The possible values of the length of the garden is 151 ft to 450 ft. The length of the rectangle garden can vary from 151 ft to 450 ft
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what is the net decimal equivalent if all discounts were applied in the series?
40% 15% 30%
The net decimal equivalent of the series 40/15/30 is 0.357;
Here we assume let X be retail price.
So,
X - 0.40 × X = Y ⇒ first discounted price.
Y - 0.15 × Y = Z ⇒ second discounted price.
Z - 0.30 × Z = T ⇒ total discounted price.
Now
X - 0.40 × X = (1 - 0.40) × X = 0.60 × X = Y
Y - 0.15 × Y = (1 - 0.15) × Y = 0.85 × Y = Z
Z - 0.30 × Z = (1 - 0.30) × Z = 0.70 × Z = T
Also, Z = 0.85 × Y, then 0.70 × Z = 0.70 × 0.85 × Y
And, Y = 0.60 × X, then 0.70 × Z = 0.70 × 0.85 × 0.60 × X
So,
= 0.70 × 0.85 × 0.60 × X
= 0.357X;
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Kevin takes 1500 steps to walk d meters from his home to the station. Each step is 90 centimeters correct to the nearest 10cm.
Find the lower and the upper bound for d
Distance of upper bond and lower bond is 120,000 and 150,000 centimeter
How to find Lower bound and Upper Bound?
Given:
Number of steps walk = 1500 steps
Each step count = 90 centimeters
Correction in each step = 10 cm nearest
Find:
Lower bound and upper bound for d
Computation:
Lower bound step length = 90 - 10
Lower bound step length = 80 centimeters
Upper bound step length = 90 + 10
Upper bound step length = 100 centimeters
Lower bound d = 1500 × 80
Lower bound d = 120,000 centimeters
Upper bound d = 1500 × 100
Upper bound d = 150,000 centimeters
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Vertical asymptotes at x=−1 and x=4 , x -intercepts at (−5,0) and (2,0) , horizontal asymptote at y=−4
solve for f(x)
Answer is f(x)= [tex]\frac{x^{2}+ 2x - 8 }{x - 5}[/tex]
vertical asymptote, the denominator must be contained (x−5)
and for zeros the numerator must be contained (x−2)
then we get,
So far f(x)= f(x)= [tex]\frac{ (x - 2)}{x - 5}[/tex]
For slant asymptote, quotient of numerator divided by denominator must be (x+4)
Therefore:
f(x)= [tex]\frac{(x + 4) (x - 2)}{x - 5}[/tex]
after solving this equation we get,
So f(x)= [tex]\frac{x^{2}+ 2x - 8 }{x - 5}[/tex]
A vertical asymptote is a vertical line that guides the graph of the function but is not part of it. It can never be crossed by the graph because it occurs at the x-value that is not in the domain of the function. A function may have more than one vertical asymptote.
In Mathematics, a slant asymptote, also known as an oblique asymptote, occurs when the degree of the numerator polynomial is greater than the degree of the denominator polynomial. The slant asymptote gives the linear function which is neither parallel to x-axis nor parallel to the y-axis.
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At Skyrocket Amusement Park, 30% of the rides are roller coasters. There are a total of 18 roller coasters. How many rides are there at Skyrocket Amusement Park in all?
Answer: 60 rides
Step-by-step explanation:
18/30% = (as fraction) 180/3
= 60
Simplify 7+5c+4d-8c+d
Step-by-step explanation:
if there is no typo the expression is :
7 + 5c + 4d - 8c + d
to simplify combine all terms with the same variable and exponent of that variable.
so, this is
7 + (5c - 8c) + (4d + d) = 7 - 3c + 5d
Answer:
-3c+5d+7
Step-by-step explanation:
Which of the following is correct?
Group of answer choices
10 mg = 0.001 gm
1L = 1000 mL
1 mcg = 0.1 mg
1000L = 1 mL
Answer: 1L = 1000 mL
Step-by-step explanation:
1. 1 milligram (mg) is equal to 0.001 gram (gm), so 10mg = 0.01. The first choice is incorrect
2. 1 liter (L) = 1000 milliliter (mL) so the second choice is correct
3. 1 microgram (mcg) is equal to 0.001 milligram (mg), so the third choice is incorrect.
4. 1 liter (L) = 1000 milliliter (mL), so the fourth choice is evidently incorrect. (1000 L would be 1,000,000 mL)
What number makes the equation true? Enter the answer in the box.
5 X
= 20
Answer: 5x4
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
5x=20
divide both side by the coefficient of x
5x/5=20/5
x=4
For the third week of July, Barbara Watson worked 55.50 hours. Barbara earns $10.40 an hour. Her employer pays overtime for all hours worked in excess of 40 hours per week and pays 1.5 times the hourly rate for overtime hours.
Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.
Sarah can use the expression 5(2j + 3 + j) to represent the amount of money she can earn.
Part 1: Writing Expressions
Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.
Translate the algebraic expression you created in Question 1 to a verbal expression.
Answer:
4(3j + 4 + j) the amount of money sarah can make is (3 Js plus 4 plus J) times 4
Step-by-step explanation:
Get a similar question You can retry this question below
In your investment portfolio, 25% of your stocks are in Company A with a return rate of 6%, 40% of
your stocks are in Company B with a return rate of 2.5%, and the rest of your stocks are in Company
C with a return rate of 2%. Use a weighted mean to find your average return rate.
Average return rate=
The Average return rate for the investment will be 3.2%.
The Return Rate can be defined as a profit that is made on investment .
In the Question
let the investment be "x" .
25% stocks in Company A have return rate of 6%.
Investment in Company A = (25% of x)
Return is 6% of investment = (25% of x) + 6% of (25% of x)
Return from company A= (25% of x)(1+0.06) ...as 25%=0.25 & 6%=0.06
= 0.25*x*(1.06) ...(i)
40% stocks in Company B have return rate of 2.5%.
Investment in Company B = (40% of x)
Return is 2.5% of investment = (40% of x) + 2.5% of (40% of x)
Return from company A = (40% of x)(1+0.025) ...
= 0.40*x*(1.025) ...(ii)
Stocks in Company C = 100 - 25 - 40 = 35%
35% stocks in Company C have return rate of 2%.
Investment in Company C = (35% of x)
Return is 2.5% of investment = (35% of x) + 2% of (35% of x)
Return from company C = (35% of x)(1+0.02) ...
= 0.35*x*(1.02) ...(iii)
Total Return = Return from Company A + Return from Company B + Return from Company C .
From equation (i) ,(ii) and (iii) we get
Total Return = 0.25*x*(1.06) + 0.40*x*(1.025) + 0.35*x*(1.02)
= 0.265x + 0.41x + 0.357x
= 1.032x
The Average rate of return = [tex]\frac{return- investment }{investment } \times100[/tex]
Substituting the value we get,
= (1.032x - x ) / x *100
= 0.032x /x * 100
= 0.032*100
= 3.2%
Therefore , the Average return rate for the investment will be 3.2%.
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A company makes steel rods shaped like cylinders. Each rod has a radius of 3 centimeters and a height of 40 centimeters. If the company used 48,607.2 cm³
of steel, how many rods did it make?
Use 3.14 for, and do not round your answer.
Answer:
heheghgcfyhcggh I am a bit of a bit of a bit of a bit of a bit of a bit of a bit
Use the quadratic equation to complete the following sentence.
2^2-4x + 10 =0
The quadratic equation has…
PLEASE HELP WILL GOVE BRIANLIEST
Answer:
your answer is 7/2
Austin buys cookies and oranges at the store.
He pays a total of $34.18.
He pays a total of $6.86 for the cookies.
He buys 4 bags of oranges that each cost the same amount.
How much does each bag of oranges cos
Answer:...
Step-by-step explanation:
Answer:
Step-by-step explanation:
444
when a pipe constricts as shown in the figure below, the velocity v of fluid flowing through the pipe is inversely proportional to the pipes cross sectional area a. suppose water flows through a section of pipe of area 10 cm^2 at a velocity of 4 m/s. if the pipe constricts to an area of 2.5 cm^2, what will its velocity be in this section of pipe
Answer:
A because of the way the pipe is designed
How to solve this step by step
The solution to the given equation are -2/5 and 1
Solving linear equationsLinear equation are equation that has a linear degree of 1. The standard linear equation is expressed as y - mx + b
Given the equation below:
(5v +2)(1 - v) = 0
Equate both expressions to zero to have:
5v+2 = 0 and 1 -v = 0
For the expression 5v+2 = 0
5v = -2
v = -2/5
Similarly
1 - v = 0
v = 1 + 0
v = 1
Hence the solution to the given equation are -2/5 and 1
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PLEASE HELP
5|12-r|>15
Step-by-step explanation:
5.|12 - r| > 15
|12 - r| > 15/5
|12 - r| > 3
12 - r < -3 or 12 - r > 3
-r < -3 - 12 or -r > 3 - 12
-r < -15 or -r > -9
r > 15 or r < 9
Find n(S ∩ T) given that n(S)=6, n(T)=9 and n(S ∪ T)=15.
Answer:
0
Step-by-step explanation:
[tex]n(S \cup T)=n(S)+n(T)-n(S \cap T) \\ \\ 15=15-n(S \cap T) \\ \\ n(S \cap T)=0[/tex]
Jason has $200 Karen has 7/8 as much money as him how much money does Karen have
Answer:
175
Step-by-step explanation:
because 7/8 of 200 is 175
Percent change from 10,000 to 10,200
Explain why this is not true. WILL GIVE BRAINLIEST
Answer:
x(assuming x = 1) + 3 is not less than a negative number(-2).-5 + 3 is 2, so that should be put as equal.-2 is equal to -2.2 is greater than -2 on a scale of positive to negative.what is the answer to 6 + 14 = 5x
Answer:
x=4
Step-by-step explanation:
6+14=5x
Add 6 and 14 which is equal to 20.
You will get 20=5x which you will then divide by 5 inorder to solve for x.
X=4
Pull out like factors :
5x - 20 = 5 • (x - 4)
Solve : 5 = 0
This equation has no solution.
A a non-zero constant never equals zero
Solve : x-4 = 0
Add 4 to both sides of the equation :
x = 4
A startup sports public relations company is looking to grow. They currently represent 1 client and plan on representing 2 additional clients each year. The following graph can be used to
help determine the number of clients, y, the company will have after x years.
Based on the context, what is the range of the function?
Answer:
Step-by-step explanation: 1x,2y
Suppose there are 17 jelly beans in a box—2 red, 4 blue, 4 white, and 7 green.
What part of the jelly beans is blue? Express your answer in each of the forms requested.
As a fraction ____
Hint: To enter a fraction, use the forward slash button on the keyboard.
As a decimal rounded to the nearest ten-thousandth (four decimal places). _______
As a percentage rounded to the nearest hundredth (two decimal places) ______
Answer: 4/17
0.2353
0.24
Step-by-step explanation:
4 blue jelly beans. 17 total jelly beans.
4/17=0.235294
0.235294=0.2353
0.2353=0.24
