solve for x using distributive property
7(x+6)=11
and
5(x-6)=3
A factory begun producing new parts. Data were collected on the
number of defective parts per 10,000 parts produced. The graph
shown displays some of the data for the first 10 weeks of production.
Write an equation that best models the data?
The equation that best models the data is 10x + y = 160 if the number of defective parts per 10,000 parts produced and points (10, 60) and (9, 70)
What is a linear equation?It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
From the graph:
(10, 60) and (9, 70)
The line equation of best fit:
(y - 70) = (70-60)/(9-10)(x-9)
y - 70 = -10(x-9)
y - 70 = -10x + 90
10x + y = 160
Thus, the equation that best models the data is 10x + y = 160 if the number of defective parts per 10,000 parts produced and points (10, 60) and (9, 70)
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HELP PLEASE IT'S VERY IMPORTANT
Determine the area of the composite figure.
Determine the perimeter of the composite figure.
Answer:
If I did this right the perimeter is 83.7 and the area is 257.1
Explanation:
the perimeter is all sides added so 15+8+8+6.7+20+26 = 83.7
To make adding the area easier, we would separate it into different shapes.
Area of a Triangle: (b x h)/2
(15x9)/2 = 45 since it's a triangle
8x9 = 72
20x6 = 120
(6x6.7)/2 = 20.1 since it's also a triangle
45 + 72 + 120 + 20.1 = 257.1
Larry read a 400-page book. He read at a rate of 10 pages per day for d days.
Answer:
It took him 40 days to complete the book.
Step-by-step explanation:
Divide 400 by 10 and you should get 40 as an answer.
Answer:
d=400/10
Hope this helps
Find a value of k such that kx2 + 12x − 4 = 0 has one real-number solution. Explain.
Answer: if x is to the 2 power then
kx^2+12x-4=0 Add 4 to the both sides
kx^2+12x=4 Divide both sides by 12
kx^2=1/3x square root the both sides
k=0.6x
Step-by-step explanation:
interest earned on both the principal and any previously earned interest?
a. compound interest
b. simple interest
c. interest rate
d. principal
Answer:
A. Compound Interest
Step-by-step explanation:
Compound interest is interest paid on both the principal and previously earned interest.
Compound interest earned on both the principal and any previously earned interest. Therefore, the correct answer is option A.
What is the rate of interest?An interest rate tells you how high the cost of borrowing is, or high the rewards are for saving. So, if you're a borrower, the interest rate is the amount you are charged for borrowing money, shown as a percentage of the total amount of the loan.
Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
The formula used to find the compound interest = [tex]A=P(1+\frac{r}{100})^{nt}[/tex]
Therefore, option A is the correct answer.
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find the area 36in 40in 50°
Answer:
770in2
please brain or heart me im about to level up
Its says in question 4 tue horizontal translation is A right.?
Answer:
Here we have:
g(x) = 3*f( 2*x - 2) - 1
We want to know the horizontal translation used here.
We need to discuss two types of transformations here.
horizontal translation.
If we have a function f(x), a horizontal translation of N units is written as:
g(x) = f(x + N)
if N is negative, the translation is to the right.
if N is positive, the translation is to the left.
Horizontal dilation.
For a function f(x) an horizontal dilation of scale factor k is written as:
g(x) = f( x/k)
You can see that in our function we have both of these transformations.
Because we compare the translation with f(x), we assume that the horizontal translation is the first thing we did, then we must have
translation:
g(x) = f(x + N)
and now a horizontal dilation of scale factor k
g(x) = f( (x + N)/k)
Then we must have that the argument of the above function is the same as the argument of the given function.
(x + N)/k = 2*x - 2
then:
k = 1/2
(x + N)/1/2 = 2*x + 2*N = 2*x - 2
2*N = -2
N = -2/2 = -1
This means that we have a translation of 1 unit to the right.
Find the surface area of the regular pyramid.
help TvT
Lesson 18: Exponentials Unit Test Algebra 1 B Unit 5: Exponentials
What is the value of the function? f(x)=(−2)3(3)0(4)−2
−3/2
0
−3/4
−1/2
Simplify the expression (45y5y744y9)2
This is a 17 question test those are the first 2 please try and find all 17 you have the title first to give all 17 will get brainlist
Answer:
search mo po sa goggle
Answer:
id k the first one
Simplify the expression (45y5y744y9)2 =
90[tex]y^{758}[/tex]
Determine which point is part of the solution set to the following
system of inequalities: f(x) < x + 4; f(x) > - X-3; and f(x) < 5.
(0,0)
(-60)
(-3, 4)
(4,6)
Solve the quadratic equations
y^2 −10y+21=0
y=?
16p^2 -8p=-1
p=?
x^2 -400=0
x=?
-16m^2 =8m+1
m=?
-3n^2 +75=0
n=?
Answer:
for quadratic equation 1
y^2-10y+21=0
Step-by-step explanation:
y^2-7y-3y+21=0
y(y-7)-3(y-7)=0
(y-7)(y-3)=0
y-7=0,y-3=0
y=7,y=3
y=(3,7)
for quadratic equation 2
16p^2-8p+1=0
16p^2-4p-4p+1=0
4p(4p-1)-1(4p-1)=0
(4p-1)twice=0
4p-1=0,4p-1=0
4p=1
p=1/4 twice
for quadratic equation 3
x^2-400=0
x^2=400
x=√400
x=20
for quadratic equation 4
-16m^2-8m-1=0
multiply the equation by -
16m^2+8m+1=0
16m^2+4m+4m+1=0
4m(4m+1)1(4m+1)=0
4m+1=0 twice
m=-1/4 twice
for quadratic equation 5
-3n^2+75=0
divide both side by -3
-3n^2/-3=-75/-3
n^2=25
n=√25
n=5
Value of C in the triangle
Find the volume of the
rectangular prism.
3 cm
9 cm
7 cm
V = [?]
Answer:
Step-by-step explanation:
V = L * W * D
V = 9 * 7 * 3
V = 189 cm^3
Answer: 189
Step-by-step explanation: 3*9*7
at time t, the position of a body moving along the s-axis is s=t^3 - 12t^2 + 36t m. Find the total distance traveled by the body from t=0 to t=3.
Answer:
27 m
Step-by-step explanation:
The position of a body is given by :
[tex]s=t^3 - 12t^2 + 36t[/tex]
We need to find the total distance traveled by the body from t=0 to t=3.
At t = 0,
[tex]s=0^3 - 12(0)^2 + 36(0)=0\ m[/tex]
At t = 3 s,
[tex]s=(3)^3 - 12(3)^2 + 36(3)\\\\=27\ m[/tex]
So, the total distance from t=0 to t=3 is equal to 27 m.
In AABC, mZA = 75° and mZC = 20°, What is mZB?
Answer:
3.75 degrees if you need to divide, addition then it is 95 degrees, subtraction 55 degrees, and if it's multiplication 1500 degrees
IF THERE ARE LINKS IN THE ANSWERS DO NOT DOWNLOAD THE FILE IT IS NOT AN ANSWER IT IS A VIRUS
Consider the equation below.
Determine which equation has the same solutions as the given equation.
Answer:
B, (x-5) square =21
Step-by-step explanation:
B, (x-5)square =21
A runner moves 8 miles every 1 minute. Write and graph an equation in two variables that shows the relationship between time and distance
Answer:
what grade is this?
Step-by-step explanation:
Help me please and thank
Answer:
Step-by-step explanation:
well just go throught the factors as far as you can ik from my personal mindset that 14*14= 196 so if i go bk and calculate 13*13=169 which means its gonna be in between 13 and 14. so to figure this out we have to write it out. so we can try 13.5*13.5=182.25 so we have to go higher 13.89*13.89=192.9321 which means it has to be 13.89 rounded to the nearest hundreth.
The length of a rectangle is 13 centimeters less than four times its width. Its area is 35 square
centimeters. Find the dimensions of the rectangle.
The width is
and the length is
Answer:
width 5
length 7
Step-by-step explanation:
W * L = 35
L = 4 * W - 13
W * (4W-13) = 35
4 W^2 - 13 W - 35 = 0
delta = 169 + 4*4*35 = 729 = 27^2
W = (13 + 27) / 8 = 5 (its the only solution since 13 - 27 is less than 0 which makes no sense)
L = 4 * 5 - 13 = 7
The length and width of the rectangle are 7 cm and 5 cm respectively.
What is a rectangle?A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°). The opposite sides of a rectangle are equal and parallel.
Given that, the length of a rectangle is 13 cm less than four times its width. Its area is 35 cm².
We know that, the area of a rectangle = length × width
Let the width of the given rectangle be w,
According to question,
length = 4w - 13
Therefore,
(4w - 13) × w = 35
4w² - 13w = 35
4w² - 13w - 35 = 0
Factorizing, we get,
w = 5 and w = -7/4
Therefore, width = 5
Length = 20 - 13
Length = 7
Hence, the length and width of the rectangle are 7 cm and 5 cm respectively.
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5. In one year, there were 125 major new automobile types available. If you look at the miles per gallon (MPG) for these vehicles, the distributions are roughly normal. The means and standard deviations are given by:
Mean Standard Deviation
City MPG 22.37 4.77
Highway MPG 29.09 5.46
a. The Honda Civic had a rating of 45 highway MPG. What is the probability that your car has a worse highway gas mileage than the Civic?
b. The Lincoln Continental had a rating of 17 city MPG. What percent of cars are likely to have a better city gas mileage than the Continental?
Answer:
a. 0.0018 = 0.18% probability that your car has a worse highway gas mileage than the Civic
b. 89.06% of cars are likely to have a better city gas mileage than the Continental
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
a. The Honda Civic had a rating of 45 highway MPG. What is the probability that your car has a worse highway gas mileage than the Civic?
For Highway, we have that [tex]\mu = 29.09, \sigma = 5.46[/tex]
This probability is the pvalue of Z when X = 45. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{45 - 29.09}{5.46}[/tex]
[tex]Z = 2.91[/tex]
[tex]Z = 2.91[/tex] has a pvalue of 0.9982
1 - 0.9982 = 0.0018
0.0018 = 0.18% probability that your car has a worse highway gas mileage than the Civic.
b. The Lincoln Continental had a rating of 17 city MPG. What percent of cars are likely to have a better city gas mileage than the Continental?
City means that [tex]\mu = 22.37, \sigma = 4.37[/tex]
This probability is 1 subtracted by the pvalue of Z when X = 17. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{17 - 22.37}{4.37}[/tex]
[tex]Z = -1.23[/tex]
[tex]Z = -1.23[/tex] has a pvalue of 0.1094
1 - 0.1094 = 0.8906
0.8906 = 89.06% of cars are likely to have a better city gas mileage than the Continental
An angle turns through 2/6 of a circle. What is the measure of the angle?
Step-by-step explanation: coxhck dewmsaksak sadjnsajmksa
Natalie budgets $146 for yoga training. She buys a yoga mat for $10 and spends $9 per day on yoga classes. Which inequality represents the number of days, d, that Natalie can take classes and stay within her budget?
A 146 ≤ 9d + 10
B 146 ≥ 9d + 10
C 146 ≤ 10d + 9
D 146 ≥ 10d + 9
Answer:
The answer should be letter D (146 ≥ 10d + 9)
Step-by-step explanation:
I need help with this
The midpoint AB is M (1,1). If the coordinates of A are (-3,-3), what are the coordinates of B
Answer:
(2,−4).
Step-by-step explanation:
Hope this helps and have a wonderful day!!!!
A small class has 10 students. Five of the students are male and 5 are female. I write the
name of each student on a 3 by 5 card. The cards are shuffled thoroughly and I choose one
at random, observe the name of the student, and replace it in the set. The cards are
thoroughly reshuffled and I again choose a card at random, observe the name, and replace it
in the set. This is done a total of four times. Let X be the number of cards observed in these
four trials with a name corresponding to a male student. The random variable X has which of
the following probability distributions?
Options are;
A) the Normal distribution, with mean 2 and variance 1
B) the binomial distribution, with parameters n = 4 and p = 0.5
C) the poisson distribution, with parameters λ = 4/10
D) none of the above
Answer:
B) the binomial distribution, with parameters n = 4 and p = 0.5
Step-by-step explanation:
Number of times card is shuffled is 4 times. Thus; n = 4
X is the number of cards in the time shuffled that corresponds to a male.
We are told there are 10 students and 5 are male and 5 female.
Thus, probability that it corresponds to a male is;
P(corresponding to a male) = 5/10 = 0.5
According to binomial probability distribution, the parameters are;
p = 0.5
n = 4
q = 1 - 0.5 = 0.5
You walk into a store that is closing. The pants normally cost $60.00 but it is discounted 75%. They are also taking an additional 20% off. What is the total prrcentage discounted?
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Step-by-step explanation:
yiutujhyyiiyttthhuijc
What’s the volume of 9 cm 6 cm 4 cm
Answer:
bro tell me the shape
Step-by-step explanation:
Wendy wants to run 3 miles. Each lap around the track at her school is 1··8 mile. Wendy wants to figure out how many laps she needs to run.
Answer:
1.6 laps
Step-by-step explanation:
Simply divide 3 over 1.8 to get the number of laps.
How many plants spaced every 6" are needed to surround a circular walkway with a 25' radius
Answer:= 2 × 3.14 (25)
= 157.
circumference of circle feet is 157 × 12 inches.
Step-by-step explanation:
consider the following formula to find the circumference of circle
C= 2^_r
here r is radius of circle
the radius of circular is 25 ft.
Therefore circumference is as follows
C = 2^_r