Answer:
48%
Step-by-step explanation:
let's say the initial price of an item is $100
if you take 40% off then you pay only $60
now if you take 20% off 60 you pay $48
$48 is 48% of 100
Which statement describes graph
Answer:
Step-by-step explanation:
There are no statements here
Determine whether or not the set of vectors S={(−2,1,1),(0,3,1),(0,1,0)} form a basis for R^{3} .
"
The set of vectors S={(−2,1,1),(0,3,1),(0,1,0)} does not form a basis for R^3.
A basis for a vector space is a set of vectors that spans the space and is linearly independent. The set S spans R^3, because any vector in R^3 can be written as a linear combination of the vectors in S.
However, the set S is not linearly independent, because the vector (0,3,1) is a linear combination of the vectors (0,1,0) and (−2,1,1).
To see this, we can write (0,3,1) as follows:
(0,3,1) = 3(0,1,0) + (-2,1,1)
Therefore, the set S is not linearly independent, and so it does not form a basis for R^3.
Visit here to learn more about vectors:
brainly.com/question/27854247
#SPJ11
The set of vectors S={(−2,1,1),(0,3,1),(0,1,0)} does not form a basis for R^3. So, The set of vectors S={(−2,1,1),(0,3,1),(0,1,0)} is not forming the basis for R^{3} .
A basis for a vector space is a set of vectors that spans the space and is linearly independent. The set S spans R^3, because any vector in R^3 can be written as a linear combination of the vectors in S.
However, the set S is not linearly independent, because the vector (0,3,1) is a linear combination of the vectors (0,1,0) and (−2,1,1).
To see this, we can write (0,3,1) as follows:
(0,3,1) = 3(0,1,0) + (-2,1,1)
Therefore, the set S is not linearly independent, and so it does not form a basis for R^3.
Visit here to learn more about vectors:
brainly.com/question/27854247
#SPJ11
You need at least 30 cubic feet of sand to fill a sand box. Each bag contains 2.5 cubic feet of sand. What is the minimum number of bags you need to buy?
Answer:
12 bags of sand
Step-by-step explanation:
The minimum number of sand to fill the sandbox = 30 cubic feet
The volume or quantity of sand per bag is = 2.5 cubic feet
The minimum number of bags needed to fill the sandbox = 30 / 2.5 = 12 bags
The mean,mode,median in
2, 5, 5, 6, 7, 3, 2, 6?
After comparing the Legend and the Supreme,Victor saw an advertisement for a third vehicle,the Lunar.The manager said that the Lunar can travel about 289 miles on a tank of gas.If the gas tank can hold 17 gallons of gas,is the Lunar Victor's best option
Given :
Lunar can travel about 289 miles on a tank of gas.If the gas tank can hold 17 gallons of gas.
To Find :
Is the Lunar Victor's best option.
Solution :
Number of miles Lunar travel per gallon is :
\(N = \dfrac{289\ miles}{17 \ gallon}\\\\N=17 \ miles/gallon\)
We know, miles travelled per gallon is given by 18 miles/gallon.
Therefore, The Legend is still the best option.
Elimination Practice
Solve the system of linear equations by elimination.
Equation 1: + 2y = 13
Equation 2: -x+y=5
Solution: (_,_)
By using the elimination approach, the system of linear equations x + 2y = 13 and -x + y = 5 may be solved as (3, 8)
what is linear equations ?In calculus, a linear function is one that of the form y=mx+b. The slope is B, and the y-intercept is m. Since y and x are variables, the previous sentence is frequently referred as a "equation with two variables." Bivariate linear equations are linear equations with two parameters. Linear equations can be found in many places, including 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When an equation has the structure y=mx+b, where m denotes the slope and b the y-intercept, it is considered to as being linear. A mathematical equation is said to be cubic if its solution has the form y=mx+b, where m stands for the slope and b for the y-intercept.
given
x + 2y = 13
-x + y = 5
In 1
5 - y + 2y = 13
y = 8
- x + 8 = 5
-x = 5 - 8
-x = -3
x = 3 by multiplying the value of x by 2.
By using the elimination approach, the system of linear equations x + 2y = 13 and -x + y = 5 may be solved as (3, 8)
To know more about linear equation visit:
https://brainly.com/question/11897796
#SPJ1
If the original quantity is 8 and the new quantity
is 2, what is the percent decrease?
If the original quantity is 8 and the new quantity is 2, then the correct answer is 75%.
How did we figure this out?
For this question we need to subtract and multiply the numbers. We know that 2 = 25% of 8 so:
\(\boxed{8-2=6}\\\boxed{6/2=3}\)
We are going to take that 25% and multiply it with 3 to get are final answer.
What is the missing number of 25 and 3?\(\boxed{25*3=75}\\\boxed{So,2=75}\)
Therefore, If the original quantity is 8 and the new quantity is 2, then the correct answer is 75%.
The area of a rectangle is 480in^2 . the length is 4 more than the width. Find each measurement.
Answer:
width = 20 in
length = 24 in
Step-by-step explanation:
A = 480
L = 4 + w
w
A = L x w
A = (4 + w)w
A = 4w + \(w^{2}\)
480 = 4w + \(w^{2}\)
\(w^{2}\) + 4w - 480 = 0
(w + 24)(w - 20) = 0
w = -24 or w = 20
length can't be negative, so w = 20
if w = 20,
L = 4 + w
L = 4 + 20
L = 24
Check:
A = L x w
A = 24 x 20
A = 480
A student has 5 eighths gallons of popcorn to give away. he wants to split it evenly between his 6 friends. how much popcorn does each friend receive?
Each friend will receive approximately 0.10 gallons of popcorn.
To split the 5 eighths gallons of popcorn evenly between his 6 friends, we first need to convert the fraction to a decimal. Since one eighth is equal to 1/8, 5 eighths can be written as 5/8. To convert this fraction to a decimal, we divide the numerator (5) by the denominator (8). 5 divided by 8 equals 0.625. This means that the student has 0.625 gallons of popcorn.
To find out how much popcorn each friend will receive, we need to divide the total amount of popcorn (5 eighths gallons) by the number of friends (6).
First, let's convert 5 eighths to a decimal.
One eighth is equal to 1/8, so 5 eighths is 5/8.
To convert 5/8 to a decimal, divide the numerator (5) by the denominator (8):
5 ÷ 8 = 0.625.
Now, we can divide 0.625 by 6 to find the amount of popcorn each friend will receive.
0.625 ÷ 6 = 0.10416666667
Rounded to the nearest hundredth, each friend will receive approximately 0.10 gallons of popcorn.
Each friend will receive approximately 0.10 gallons of popcorn.
To know more about decimal visit:
brainly.com/question/30958821
#SPJ11
Using only numbers in the following list,
29
17
38
71
35
63
24
write down
a)
two numbers that add up to 100
b)
two numbers which differ by 46
c)
a multiple of 9
Answer:
100=29+71
46= 63-17
63
Chicken and rabbit are placed in the ame cage. There are 35 head and 94 feet. How many rabbit are there?
Based on heads and feet of chicken and rabbits, there are 12 rabbits in the cage.
Let us represent chicken by x and rabbit by y. So, we all know that chicken and rabbit have 1 head each. We also know that chicken has 2 feet and rabbit has 4 legs. Now forming the equation accordingly.
Equation for head -
x + y = 35 : Equation 1
Equation for feet -
2x + 4y = 94 : Equation 2
Rewriting equation 1 according to x
x = 35 - y : Equation 3
Keep the value of x from equation 3 in equation 2
2(35 - y) + 4y = 94
Preforming multiplication on Left Hand Side
70 - 2y + 4y = 94
Performing subtraction
2y = 94 - 70
2y = 24
y = 24 ÷ 2
Performing division
y = 12
Thus, there are 12 rabbits in the cage.
Learn more about equation :
https://brainly.com/question/13818690
#SPJ4
10 Cecelia took 40 minutes to complete a journey. She travelled half the distance at a speed of 100 km/h and the other half at 60 km/h. How far was her journey?
40 min = 40/60 hr = 2/3 hr
Distance = x km
t=distance/speed
x/200+x/120=2/3
multiply by 6oo
3x+5x=400
8x=400
x = 400/8=50km
The journey is for 50km
pls giive brainliest\
Is (25, -50) a solution to the equation y = 450 + 20x
Answer:
no
Step-by-step explanation:
4) Find the LCM of 20 and 9
Answer:
least common multiple is 180
If p and q vary inversely and pp is 23 when q is 6, determine q when p is equal to 69.
Answer:
Answer is q = 2
Step-by-step explanation:
First make the equation with a constant so p=k/q
then substitute q to 6 and p to 23.
Then you have 23=k/6 and to find k multiply both sides to get k=138
next substitute p as 69=138/q then multiply q on both sides to get 69xq=138 and then divide 69 to 138 go get q which is 2
Like if it helped!
pls do this!!!!
worth 80 points!!
Answer:
a. x > -1
b. x >= -2
c. x <= 3
d. x <= 0
Step-by-step explanation:
−3−3/4(c−4)=5/4
3/4 and 5/4 are both fractions
Answer:
c = −\(\frac{5}{3}\)
Step-by-step explanation:
Mark Lomonaco And deven Hughes pushes twenty five new tables for $29.95 each. they received a 15% discount off the total gross amount of the tables because they purchased more than five tables. Sales tax in their country is 8.75 %
Answer:
4.58
Step-by-step explanation:
$29.95(15%) = 4.4925+8.75% = 4.4925+0.0875 = 4.58
15.21 x 0.72 can somebody help its an assignment
Answer:
10.9512
Step-by-step explanation:
Answer:
10.9512 (not sure if u have to round it)
Step-by-step explanation:
On the planet of Naboo, about 14.5% of the population has a particular genetic mutation where each eye has a different color. Suppose 800 people are randomly selected.
(a) Find the mean for the number of people with the genetic mutation in such groups of 800 and round your answer to one decimal. ___???___
(b) Find the standard deviation for the number of people with the genetic mutation in such groups of 800 and round your answer to two decimal places. ___???___
Enter your answers to parts c and d as whole numbers.
(c) It would be unusual in a group of 800 people on the planet of Naboo to find at most ___???____ people with the genetic mutation.
(d) It would be unusual in a group of 800 people on the planet of Naboo to find more than ____???_____ people with that genetic mutation.
The mean for the number of people with the genetic mutation in a group of 800 is approximately 116.
For the mean for the number of people with the genetic mutation in groups of 800, we can multiply the proportion of the population with the mutation by the total number of people in each group.
We know that about 14.5% of the population has the genetic mutation, we can express this as a proportion by dividing 14.5 by 100: 0.145.
Next, we multiply this proportion by the total number of people in each group (800) to find the expected number of people with the genetic mutation in a group of 800:
Mean = Proportion × Total number of people
= 0.145 × 800
≈ 116
Therefore, the mean for the number of people with the genetic mutation in a group of 800 is approximately 116.
This means that, on average, we would expect about 116 out of the 800 people randomly selected to have the genetic mutation where each eye has a different color.
However, it's important to note that this is an expected value and the actual number may vary in each group due to randomness.
To know more about mean refer here:
https://brainly.com/question/29101730#
#SPJ11
The base of a regular pyramid is a hexagon.
Answer:
96\(\sqrt{3}\) cm²
Step-by-step explanation:
A hexagon can be cut into 6 equilateral triangles.
Using the half shown in the diagram to calculate the apothem a , and the exact value
sin60° = \(\frac{\sqrt{3} }{2}\) , then
sin60° = \(\frac{opposite}{hypotenuse}\) = \(\frac{a}{8}\) = \(\frac{\sqrt{3} }{2}\) ( cross- multiply )
2a = 8\(\sqrt{3}\) ( divide both sides by 2 )
a = 4\(\sqrt{3}\) cm
The area (A) can be calculated using
A = \(\frac{1}{2}\) pa ( p is the perimeter of the hexagon )
The sides of the hexagon measure 8 cm ( equilateral Δ has congruent sides )
p = 6 × 8 = 48 cm, so
A = \(\frac{1}{2}\) × 48 × 4\(\sqrt{3}\) = 96\(\sqrt{3}\) cm²
find the inverse f(x) = 3х^2 - |
Answer:
\(f^{-1}\)=\(\frac{\sqrt{3(x+1)} }{3}\)
Step-by-step explanation:
f(x) = 3\(x^{2}\) - |
Let y= 3\(x^{2}\)-1
Both side -1
y+1=3\(x^{2}\)
\(x^{2}\)= \(\frac{\sqrt{3(y+1)} }{3}\)
x= \(\frac{\sqrt{3(y+1)} }{3}\)
\(f^{-1}\)=\(\frac{\sqrt{3(x+1)} }{3}\)
The independent variable of interest in an ANOVA procedure is called a Select one: O a. partition. O b. treatment. Oc. response. d. factor.
The independent variable of interest in an ANOVA procedure is called a factor. Hence (d).
The independent variable of interest in an ANOVA procedure is referred to as the factor. The factor represents the different categories or levels being compared to assess their impact on a dependent variable. It is the variable that is manipulated or controlled by the researcher to determine its effect on the outcome. In the context of ANOVA, the factor is typically a categorical variable that divides the data into distinct groups or treatments. These groups are compared to evaluate if there are statistically significant differences in the means of the dependent variable across the different levels of the factor. Therefore, the correct answer is factor(d).
Read more about ANOVA here: https://brainly.com/question/30459773
#SPJ11
Which of the following shows 85% written as a fraction?
7/25
17/20
9/10
6/20
Answer:
17/20
Step-by-step explanation:
now, suppose the data represents a population and you are performing hypothesis tests. (1) indicate and show on the graphs whether you would accept or reject the h0 for each of the three alpha values (.10, .05, .01) if x-bar
When performing hypothesis tests on a population, you need to consider the significance level (alpha) and compare it to the p-value. The significance levels you've mentioned are 0.10, 0.05, and 0.01.
The null hypothesis (H 0) states that there is no significant difference between the sample mean (x-bar) and the population mean.
To determine whether to accept or reject H 0, follow these steps:
1. Calculate the test statistic (e.g., t or z) using the sample data.
2. Determine the p-value associated with the test statistic.
3. Compare the p-value to each of the given alpha levels (0.10, 0.05, 0.01).
Now, for each of the three alpha values, you can decide to accept or reject H 0 as follows:
- If the p-value is less than or equal to the alpha value, you reject H0. This means there is sufficient evidence to suggest a significant difference between the sample mean and the population mean.
- If the p-value is greater than the alpha value, you fail to reject H 0. This means there is not enough evidence to support a significant difference between the sample mean and the population mean.
On the graphs, you can indicate the critical regions (rejection zones) for each alpha value. These regions represent the extreme values where H 0 would be rejected. The critical regions depend on the type of hypothesis test (one-tailed or two-tailed) and the distribution of the test statistic.
For each alpha value, if the test statistic falls within the critical region(s), you would reject H 0; otherwise, you would fail to reject H 0. Remember to maintain a professional, concise, and friendly approach when explaining your conclusions.
To learn more about null hypothesis click here
brainly.com/question/28920252
#SPJ11
In Problems 29–38, show that the given function y is the general solution of the indicated differential equation. Find a particular solution satisfying the given initial condition. 32. y = xe2+ + Cez; y' = 2y + e2°; y(0) = = =
The function \(y = xe^{(2x)} + Ce^z\) is the general solution to the differential equation \(y' = 2y + e^{(2x)}\). A particular solution satisfying y(0) = a is\(y = xe^{(2x)} + ae^z\).
To show that\(y = xe^{(2x)} + Ce^z\) is the general solution of the differential equation \(y' = 2y + e^{(2x)}\), we need to substitute y into the differential equation and verify that it satisfies the equation.
First, let's find y' by taking the derivative of y with respect to x:
\(y' = d/dx (xe^{(2x)}) + d/dx (Ce^z)\)
Using the product rule, we have:
\(y' = e^{(2x)} + 2xe^{(2x)} + C * d/dx (e^z)\)
Since the derivative of \(e^z\) with respect to x is zero, we have:
\(y' = e^{(2x)} + 2xe^{(2x)}\)
Now, substitute y and y' into the differential equation:
\(e^{(2x)} + 2xe^{(2x)} = 2(xe^{(2x)} + Ce^z) + e^{(2x)}\)
Simplifying, we find that the left side is equal to the right side, verifying that y is a solution to the differential equation.
To find a particular solution satisfying the initial condition y(0) = a, we substitute x = 0 into y:
\(y(0) = 0e^{(2*0)} + Ce^z = 0 + Ce^z = a\)
This implies that \(Ce^z = a\), and we can solve for C:
\(C = a/e^z\)
Therefore, a particular solution satisfying the initial condition is\(y = xe^{(2x)} + (a/e^z)e^z = xe^{(2x)} + ae^z.\)
In summary, \(y = xe^{(2x)} + Ce^z\) is the general solution, and a particular solution satisfying y(0) = a is \(y = xe^{(2x)} + ae^z\).
To know more about particular solution refer here:
https://brainly.com/question/31591549#
#SPJ11
what is the equation for f(x)= |x| shifted to the right 3 units and Shifted down 4 units.
Answer:
The equation for f(x)=|x| if it is what is the equation for f(x)= |x| shifted to the right 3 units and Shifted down 4 units is f(x)=|x-3|-4
Step-by-step explanation:
We need to write equation for f(x)=|x| if it is what is the equation for f(x)= |x| shifted to the right 3 units and Shifted down 4 units.
When the graph is shifted towards right h units the equation becomes f(x)=(x-h) using it for our scenario:
If x is shifted right 3 units it will become f(x)=|x-3|
When the graph is shifted down h units the equation becomes f(x)=x-h using it for our scenario:
and Shifted down 4 units the equation will become: f(x)=|x-3|-4
So, the equation for f(x)=|x| if it is what is the equation for f(x)= |x| shifted to the right 3 units and Shifted down 4 units is f(x)=|x-3|-4
4. Find the value of x.
The value of the x is 3.
What is the Exterior Angle Theorem?
If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.
If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.
We have,
∠EGF = 2x + 1
∠EFG = 25
∠GEF = 10x + 2
Exterior Angle Theorem:
The measure of exterior angle = Sum of two opposite interior angles’ measure.
According to the Exterior Angle property of a triangle theorem, the sum of measures of ∠EGF and ∠EFG would be equal to the exterior angle ∠GEF.
∴ ∠EGF + ∠EFG = ∠GEF
2x + 1 + 25 = 10x + 2
2x + 26 = 10x + 2
26 - 2 = 10x - 2x
24 = 8x
x = 24/8
∴ x = 3
Hence, the value of the x is 3.
To learn more about the Exterior Angle Theorem visit,
https://brainly.com/question/17307144
#SPJ1
The sum of the base and the height of a triangle is 20 cm. Find the dimensions for which the area is a maximum.
Answer:
base = 10cm and height = 10cm
Step-by-step explanation:
base + height = 20
base = height = 20/2= 10cm
HELP!
What is nine elevenths x seven tenths, minus nine elevenths x three tenths?
Answer:
0.32727272727
Step-by-step explanation:
yeet