So the correct statement is:
" The GCF of the numbers in each term in the expression is 2"
How to rewrite the expression as a product?Here we have the expression:
12d - 26c
To rewrite ti as a product, we need to find the greatest common factor between 12 and 26.
The decomposition of these two numbers is:
12 = 2*2*3
26 = 2*13
The greatest common factor between the two numbers is 2, then we can rewrite:
12d - 26c = 2*(6d - 13c)
So the correct statement is:
" The GCF of the numbers in each term in the expression is 2"
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Ali says 2 + 3 = 5, so 0.2 + 0.03 = 0.5. Is he correct? Why?
Answer:
No he's not correct.
Step-by-step explanation:
If you look closely the 2 and the 3 in the decimals are in different sections so it would not equal 0.5
It would equal 0.23
lim
x →1+. 1- x/x² - 1
Answer: [tex]\displaystyle \boldsymbol{-\frac{1}{2}}[/tex]
================================================
Work Shown:
[tex]\displaystyle L = \lim_{\text{x}\to 1^{+}} \frac{1-\text{x}}{\text{x}^2-1}\\\\\\\displaystyle L = \lim_{\text{x}\to 1^{+}} \frac{-(\text{x}-1)}{(\text{x}-1)(\text{x}+1)}\\\\\\\displaystyle L = \lim_{\text{x}\to 1^{+}} \frac{-1}{\text{x}+1}\\\\\\\displaystyle L = \frac{-1}{1+1}\\\\\\\displaystyle L = -\frac{1}{2}\\\\\\[/tex]
In the second step, I used the difference of squares rule to factor.
The (x-1) terms cancel which allows us to plug in x = 1. We plug this value in because x is approaching 1 from the right side.
Complete the equations to solve 1{,}860 \div61,860÷61, comma, 860, divided by, 6.
\phantom{=}\greenD{1{,}860}\div{\blueD6}=1,860÷6empty space, start color #1fab54, 1, comma, 860, end color #1fab54, divided by, start color #11accd, 6, end color #11accd
=(\greenD{1{,}800}\div\,=(1,800÷equals, left parenthesis, start color #1fab54, 1, comma, 800, end color #1fab54, divided by
) \, + \,(\greenD{60}\div\,)+(60÷right parenthesis, plus, left parenthesis, start color #1fab54, 60, end color #1fab54, divided by
))right parenthesis
= 300 +=300+equals, 300, plus
==equals
The division of the figure based on the information is 14.09.
How to illustrate the information?It should be noted that the question is simply to divide 860 by 61.
The division based on the information will be illustrated thus:
= 860 ÷ 61
= 14.09
In conclusion, the correct option is 14.09.
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1) Can we predict the calories in a fast-food product if we know the amount of protein in that
product? Several fast-food products were examined and the number of calories and amount of
protein (in grams) were recorded. In the sample, the smallest and largest amounts of protein
were 4 grams and 22 grams, respectively. Analyzing the data resulted in the following
information:
Correlation of Protein and Calories = r = -0.87
The regression equation is Calories=302.5 -0.51 (Protein)
Interpret the correlation coefficient. There is a:
O strong negative linear relationship between protein amount and calories.
O weak negative linear relationship between protein amount and calories.
O strong positive linear relationship between protein amount and calories.
O weak positive linear relationship between protein amount and calories.
The correct option regarding the correlation coefficient is given as follows:
strong negative linear relationship between protein amount and calories.
What is a correlation coefficient?It is an index that measures correlation between two variables, assuming values between -1 and 1.If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.In this problem, the coefficient is of -0.87, which is a negative value with absolute value greater than 0.6, hence the relationship is strong is the correct option is given as follows:
strong negative linear relationship between protein amount and calories.
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I need a good answer, with a good explanation.
Janie and Jasmine are playing three games at an arcade. Each of the games requires either 2, 3, or 4 tokens. The girls plan to play as many games as they can before running out of tokens.
Write an expression to represent the total number of tokens that Janie and Jasmine will need to play each of the three games at least once. Let m represent the number of games that require 2 tokens; n represent the number of games that require 3 tokens; p represent the number of games that require 4 tokens.
The expression to represent the information will be 2(2m + 3n + 4p)
How to illustrate the expression?From the information given, Janie and Jasmine are playing three games at an arcade. Each of the games requires either 2, 3, or 4 tokens.
There are m number of games required.
There are n number of games that require 3 token.
Therefore, the expression to represent the information will be:
= 2(2 × m) + 2(3 × n) + 2(4 × p)
= 2(2m + 3n + 4p)
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Answer:
The other person who answered is incorrect!! The real answer is 2m + 3n + 4p
Step-by-step explanation:
have a good besti!!!!
-leeknowishawt
suppose that you borrowed 2000 from a friend and promise to pay back 3600 in 4 years. What simple interest rate will you pay?
The simple interest rate that the money would be paid is 20%
Simple interestFrom the question, we are to determine the interest rate that the money would be paid
Using the formula for simple interest,
S.I = PRT/100
Where S.I is the simple interest
P is the principal
R is the rate
and T is the time
From the given information,
P = 2000
S.I = Amount - Principal = 3600 - 2000 = 1600
R = ?
T = 4
Putting the parameters into the equation, we get
1600 = (2000 ×R × 4) / 100
1600 = 20 × R × 4
1600 = 80R
R = 20%
Hence, the simple interest rate that the money would be paid is 20%
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What is the value of pi (i need to unlock the safe because is an inhibitor there) DYING LIGHT 2
The number π (pi) is a mathematical constant which is equal to the ratio of a circle's circumference to its diameter. It has a value of π = 22/7
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The number π (pi) is a mathematical constant which is equal to the ratio of a circle's circumference to its diameter. It is given by:
π = 22/7
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Find the sum of the series: 4+8+12+........to 20 term. In (n
Answer:
16
Step-by-step explanation:
4 , 8 , 12 , 16 , 20 , ....................... ans goes on
Which figures have rotation symmetry?
Select each correct answer.
From the options presented, only figure number 2 or the one that looks like a cross has a rotation symmetry.
What is rotation symetry?This type of symmetry implies that when a figure is rotated it matches its original shape. An example of this is the circle.
Which figures have rotation symmetry?From the options presented, only the cross has this symetry because its side are equal and this means you can rotate it and it will look the same.
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If in a one tail hypothesis test where H0 is not only rejected in the upper tail, the oval he = 0.0739 and Zstat = + 1.45, what is the statistical decision if the null hypothesis is tested at the .10 level of significance?
What is the statistical decision?
Reject or do not reject?
Considering the p-value, the decision is described as follows:
Since the p-value is less than [tex]\alpha[/tex], we reject [tex]H_0[/tex].
What is the relation between the p-value and the conclusion of the test hypothesis?Depends on if the p-value is less or more than the significance level:
If it is more, the null hypothesis is not rejected.If it is less, it is rejected.In this problem, we have that:
The p-value is of 0.0739.The significance level is of 0.1.Hence:
Since the p-value is less than [tex]\alpha[/tex], we reject [tex]H_0[/tex].
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What is the simple interest earned on $ 235 at 4.5 % for 2 years?
Answer:
$21.15
Step-by-step explanation:
(235)(.045)(2)
solve the differential equation
The solution of the differential equation y(3)=29/9.
Given a differential equation y'+(y/x)=x for y(1)=1.
A differential equation is an equation that contains at least one derivative of an unknown function, either a normal differential equation or a partial differential equation.
We will solve this differential equation by using the integrating factor method.
Firstly, we will find the integrating factors by using the formula, we get
[tex]I.F=e^{\int Pdx}[/tex]
Here P=1/x and substitute this in the formula, we get
[tex]\begin{aligned}I.F.&=e^{\int \frac{1}{x}dx}\\ &=e^{\log x}\\ &=x\end[/tex]
Now, we will substitute the values in the formula
[tex]y\times I.F.=\int Q\times I.F.dx[/tex]
Here Q=x an substitute this in the above formula, we get
[tex]\begin{aligned}y\times x&=\int x\times xdx\\ yx&=\int x^{2} dx\\ yx&=\frac{x^3}{3}+C\end[/tex]
Further, we will divide both sides with x, we get
y=(x²/3)+(C/x) ......(1)
Given that y(1)=1 means when x=1 then y=1 so substitute this in equation (1) to find the value of C, we get
1=(1/3)+C
1-(1/3)=C
2/3=C
Substitute the value of C in equation (1), we get
y=(x²/3)+(2/(3x))
Now find the value of y when x=3, we get
y=(9/3)+(2/9)
y=3+(2/9)
y=29/9
Hence, in the differential equation y'+(y/x)=x for y(1)=1 then y(3) is 29/9.
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Johnny is starting a zoo. His favorite animals are lions, tigers and snakes. These are the only animals in the zoo and he has them in the ratio of 5 : 3 : 2. If he has a total of 50 animals in the zoo, how many snakes does he have?
*
The total number of snakes in the zoo is 10.
How to use ratio to find the number of snake?The number of snake can be found using ratio as follows:
The animals in the zoo are lions, tigers and snakes and he has them in the ratio of 5 : 3 : 2. The total animal is 50 animals.
Therefore,
total snakes = 2 / 10 × 50
total snakes = 100 / 10
total snakes = 10
Therefore, the total number of snakes in the zoo is 10.
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When a function is evaluated with a zero, it represents:
-the initial amount or starting point before a certain time.
-the initial amount or starting point.
-the initial amount or starting pint after a certain time
Answer: the initial amount or starting point.
Step-by-step explanation:
3) A communications company is planning a new network of specialty ZTX cables linking the major cities noted below. The cost to complete the project is $150 per mile. Draw a diagram of the minimum spanning tree and the cost associated with it.
The Minimum Spanning Tree diagram associated with ZTX's project is indicated as attached. The total cost associated with it is $1,664,550
What is a Minimum Spanning Tree?A graph spanning tree is a set of linked edges that encompass every vertex in the graph but do not create a cycle. A graph may have several such spanning trees.
The Minimum Spanning Tree, on the other hand, has the least cumulative edge weights.
What is the calculation for the attached minimum spanning tree?The starting point is Seattle.
The total minimum cost is given as:
(1306 + 629 + 435 + 1983 + 1225 + 1483 + 661 + 1145 + 1709 + 183 + 338) x 150
= $1,664,550
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You own 17 CDs. You want to randomly arrange 5 of them in a CD rack. What is the probability that the rack ends up in alphabetical order?
The probability that all five end up in alphabetical order is; 1/120.
What is the probability that the rack ends up in alphabetical order?To evaluate the given probability; first, the number of possible arrangements is;
17P5 = 742,560 possible arrangements.
However, the chance of an alphabetical order arrangement in each case is; 1 out of 5! possible arrangements.
Hence, we have that the number of possible alphabetical arrangement is; (1/120) × 742,560 = 6188.
Hence, the required probability is; 6188/742,560 = 1/120
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Explain the box and whisker plot in detail.
Based on the box and whisker plot shown above, we can infer and logically deduce that the number of lepilemures have a minimum at 0 but are well spread.
What is a box and whisker plot?A box and whisker plot is also referred to as boxplot and it can be defined as a type of chart that can be used to graphically represent the five-number summary of a data set with respect to locality, skewness, and spread. Also, the five-number summary include the following:
MinimumFirst quartileMedianThird quartileMaximumBy critically observing the box and whisker plot shown above, we can infer and logically deduce that the data (number of lepilemures) have a minimum at 0 but are well spread.
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Is x – 5 a factor of the function f(x) = x3 – 5x2 + 7x – 35? Use the Remainder Theorem to justify your answer.
Since the value of f(5) is zero, hence x – 5 a factor of the function f(x) = x^3 – 5x^2 + 7x – 35,
Remainder theoremIn order to determine whether x – 5 a factor of the function f(x) = x^3 – 5x^2 + 7x – 35, we will show that f(5) = 0
Substitute x = 5 into the function to have;
f(5) = 5^3 – 5(5)^2 + 7(5) – 35
f(5) = 125 - 125 + 35 - 35
f(5) = 0
Since the value of f(5) is zero, hence x – 5 a factor of the function f(x) = x^3 – 5x^2 + 7x – 35,
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NEEEEEEEDDDD HELPPPPPPP ASAPPPPPPPPP
The true statement about the diagram is (a) IJ ≅ JG
How to determine the true statement?From the question, we understand that:
KH bisects line IG at point J
This means that:
Line segment IG is divided into two equal parts, and point J is the middle
So, we have:
IJ ≅ JG
Hence, the true statement about the diagram is (a) IJ ≅ JG
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Identify the coordinates of the vertices after the transformation
Answer:
A' is (-2,-1)
B' is (3,0)
C' is (2,4)
Step-by-step explanation:
Solve for xxx in the diagram below.
x=x=x, equals
^\circ
∘please help
Answer:
x = 34
Step-by-step explanation:
The angles x + 12, 100, and x add up to a straight angle, so the sum of their measures is 180°.
(x + 12) + (100) + (x) = 180
x + 12 + 100 + x = 180
2x + 112 = 180
2x = 68
x = 34
10) Find the mean of the data set.
O a.) 5
Ob.) 9
O c.) 10
O d.) 13
Data:
5, 8, 12, 6, 7, 10, 14, 6, 13
Answer:
b
Step-by-step explanation:
the mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
= [tex]\frac{5+8+12+6+7+10+14+6+13}{9}[/tex]
= [tex]\frac{81}{9}[/tex]
= 9
Answer:
9
Step-by-step explanation:
The mean is also known as the average. To find it, we add up all of the data and divide it by how many numbers were added.
5 + 8 + 12 + 6 + 7 + 10 + 14 + 6 + 13 = 81
81/9 = 9
Brainliest, please :)
A file that is 273 megabytes is being downloaded. If the download is 18.9 complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.
Answer:
51.6 megabytes
Step-by-step explanation:
It is asking you what 18.9 percent of 273 is. To find this you multiply 18.9 x 273 and then divide it by 100 which equals 51.597.
You then round it to the nearest tenths which gives you 51.6
The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than an unknown number of inches.
Suppose the area of this rectangle is less than 12 square inches. Which of the following numbers could be the value of the unknown number? Select all that apply.
Answer:
6,4
Step-by-step explanation:
I'm not sure if 4 is correct but 6 definitely is. I hope this helps
If you vertically compress the exponential function f(x)=2^x by a factor of 5, what is the equation of the new function?
The equation of the new function is:
[tex]g(x) = \frac{2^x}{5}[/tex]
What is the equation of the compressed function?Here we have the function:
[tex]f(x) = 2^x[/tex]
A vertical compression by a factor of 5 is written as:
[tex]g(x) = f(x)/5[/tex]
Replacing the function f(x) we get:
[tex]g(x) = \frac{2^x}{5}[/tex]
That is the equation of the new function.
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if your restaurant serves 50 bowls of French onion soup daily and each serving has 8 ounces of onion per portion. Do you think it would be better to purchase whole onions at $1.99 per pound, and cut them yourself, or purchase pre-sliced onions at $2.99 per pound? Explain your rationale using a cost and portion argument
The second option saves time and cleaning elements, so that one is better.
Which option is better?We know that every day you sell a total of 50 bowls, and each one needs 8 oz of onion, this means that you need:
50*8 oz = 400 oz
So you need 400 ounces of onion per day.
If you buy at $1.99 per pound (1 lb = 16 oz)
Then the cost per ounce is:
c = $1.99/16
And the cost of 400 ounces is:
C = ($1.99/16)*400 = $49.75
In the case of the pre-sliced onions, the total cost would be:
C' = ($2.99/16)*400 = $74.75
So in the first case, each portion costs:
$49.75/50 = $0.995
And in the second case:
$74.75/50 =$1.495
So the extra cost is returned by the extra time and savings in cleaning elements, thus, the second option is better.
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the alexander family and jenkins family each used their sprinklers last summer. the water output rate for the alexander familys sprinkler was 20 L per hour. theh water output rate fro the jenkins familys sprinkler was 25 L per hour. the familes used their sprinklers for a combined total of 65 hours, resulting in a total water output of 1450 L. How long was each sprinkler used?
Answer:
Alexanders family sprinkler used for 35.25 hours
And the Jenkins family sprinkler was used for 29.75 hours.
Step-by-step explanation:
Lets start with 2 assumptions, what if we only used the Alexander's family sprinklers, We can define X as the variable
[tex]20x=1450[/tex]
[tex]x= 72.5[/tex]
If we just used the Alexanders it would of took 72 hours and 30 minutes.
Now lets look at the Jenkins family sprinkler, lets define it as Y.
[tex]25y=1450[/tex]
[tex]y = 58[/tex]
With only the Jenkins it would of took 58 hours.
Now, if they just of shared the work equally among the two sprinklers, the Alexanders family doing 725 L and the Jenkins with the other half.
It would of took the Alexanders
[tex]20x= 725[/tex]
[tex]x=36.25[/tex]
Jenkins
[tex]25y=725[/tex]
[tex]y=29[/tex]
Making it a combined time of 65.25 hours. 15 minutes long of our 65 hour time.
Now the Jenkins sprinkler generates 5 more L than Alexanders per hour. Which means it would only take the Jenkins family 1 hours to make 25 liters but Alexanders would take [tex]\frac{5}{4}[/tex] hours. We know that 1 hour contains 60 minutes, which means [tex]\frac{1}{4}[/tex] of a hour contains 15 minutes.
So it would take Alexanders family sprinkler 15 minutes more to produce the same amount per hour that the Jenkins does.
So from this we can conclude that if the Jenkins family sprinkler was used more we can cut the extra 15 minutes off, making the answer That the
Alexanders family sprinkler used for 35.25 hours
And the Jenkins family sprinkler was used for 29.75 hours.
What is the equation of the rational function g(x) and its corresponding slant asymptote?
Rational function with one piece increasing from the left in quadrant 3 and passing through the point negative 3 comma 0 and going to the right asymptotic to the line x equals 2 and another piece increasing from the left in quadrant 3 asymptotic to the line x equals 2 and passing through the point 3 comma 0 and going to the right
g of x is equal to the quantity x squared minus 9 end quantity over the quantity x plus 2 end quantity with a slant asymptote at y = x + 2
g of x is equal to the quantity x squared minus 9 end quantity over the quantity x minus 2 end quantity with a slant asymptote at y = x + 2
g of x is equal to the quantity x squared minus 9 end quantity over the quantity x plus 2 end quantity with a slant asymptote at y = x – 2
g of x is equal to the quantity x squared minus 9 end quantity over the quantity x minus 2 end quantity with a slant asymptote at y = x – 2
The solution to the Questions are
The alternate hypothesis demonstrates that there are two possible outcomes for the test.Decision rule: If z > 2.05 or z<-2.05, reject H0z=2.59The two-tailed nature of the test is shown by the alternative hypothesis.The result of the test yields the following P-value: 0.0096What is the alternate hypothesis?(a)
The alternate hypothesis demonstrates that there are two possible outcomes for the test.
(b)
Here we have
[tex]n_{1}=40,\\\\ \bar{x}_{1}=102,\sigma_{1}=5,n_{2}=50,\bar{x}_{2}=99,\sigma_{2}=6[/tex]
(b)
Here the test is two-tailed. So for [tex]\alpha =0.04[/tex], the critical values of the z-test are -2.05 and 2.05.
Decision rule: If z > 2.05 or z<-2.05, reject H0
(c)
Test statistics will be
[tex]z=\frac{(\bar{x}_{1}-\bar{x}_{2})-(\mu_{1}-\mu_{2})}{\sqrt{\frac{\sigma^{2}_{1}}{n_{1}}+\frac{\sigma^{2}_{2}}{n_{2}}}} \\\\\\z=\frac{(102-99)-(0)}{\sqrt{\frac{5^{2}}{40}+\frac{6^{2}}{50}}}[/tex]
z=2.59
(d)
The two-tailed nature of the test is shown by the alternative hypothesis.
(e)
The result of the test yields the following P-value: 0.0096
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The property tax on a house with an assessed value of $624,000 is $7280. Determine the property tax on a house with an assessed value of $762,000, assuming the same tax rate.
Using proportions, the property tax on a house with an assessed value of $762,000 is of $8,890.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The tax rate, as a proportion, is:
7280/624000 = 0.011667.
Hence, the property tax on a house with an assessed value of $762,000 is of:
0.011667 x 762,000 = $8,890.
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What is the equation of the line that is parallel to line R, y = 2x + 5, and passes through the
point (-2, 2)?
Answer:
y = 2x + 6
Step-by-step explanation:
We are given the line R, which is y=2x+5, and we want to find the equation of the line that is parallel to this line, and that also passes through the point (-2, 2).
Parallel lines have the same slope, yet different y-intercepts.
So, we should first find the slope of y=2x+5.
The line is written in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept.
As 2 is in the place of where m (the slope) should be, 2 is the slope of the line.
It is also the slope of the line parallel to it.
We can write the equation of the new line in slope-intercept form as well; here is the equation so far, with what we know:
y = 2x + b
We need to find b.
As the equation passes through the point (-2, 2), we can use its values to help solve for b.
Substitute -2 as x and 2 as y.
2 = 2(-2) + b
Multiply.
2 = -4 + b
Add 4 to both sides.
6 = b
Substitute 6 as b.
y = 2x + 6