Answer:
(0,0) (3,2) and (-2,-2) (4,2)
Step-by-step explanation:
To find the slope, you do \(\frac{y_{1}-y_{2} }{x_{1}-x_{2}}\), which would work for both.
2-0/3-0=2/3
2-(-2)/4-(-2)=2+2/4+6=2/3
Tony ran four 1 2/5 hours and 3 1/2 mile how many hours per mile did he run
Answer:
8-1/4 miles/ hour.
Step-by-step explanation:
11/4 (miles) ÷ 1/3 (hour). When you divide a number by a fraction use (Keep-Change-Flip).11/4 × 3/1 = 33/4 miles/hour. Convert improper fraction to mixed number by dividing 33 by 4.33/4 = 8-1/4 miles/ hour.
A store is offering a 20% discount. The original price of a t-shirt is $18. What is the sale price of the t-shirt?
(no tax included)
Answer:
$3.6
Step-by-step explanation:
I looked it up, I don't know how to do that on my own
Which equation represents a line perpendicular to the line shown on the graph?
On a coordinate plane, a line goes through (0, negative 8) and (6, 6).
y = five-halves x minus 8
y = negative five-halves x + 6
y = two-fifths x minus 1
y = negative two-fifths x + 9
Answer:
the third one...............
Answer:
the answer to your question is y = two-fifths x minus 1
Step-by-step explanation:
hope it helps
2) Consider the following system of three equations:
(I added an image)
===============================================
Explanation:
Subtract the second equation from the first one
\(\ \ \ \ 3x+3y-5z = 4 \ \ ... \text{ eq 1}\\-(4x-4y+z = -1) \ \ ... \text{ eq 2}\\---------\\\ \ -x+7y-6z = 5\)
Let's call that result equation 4.
Now focus on equation 3 and equation 4
equation 3 is -x+7y-6z = 2
equation 4 is -x+7y-6z = 5
Note how the left hand sides are identical, but the right hand sides are different. This means that we have an inconsistent system with no solutions. No matter what numbers we pick for x,y,z, there is no way to make all three given original equations to be true.
Four friends ran in a 5K race on Saturday. They were the top 4 finishers. Here are their race times: Craig: 25.9 minutes Charlie: 32.28 minutes Randy: 32.2 minutes Sam: 25.85 minutes Who won first place? Who won second place? Third? Fourth?
Sam first one
Craig second one
Randy third one
Charlie fourth one
From the data second is Craig, third is Randy and fourth is Charlie.
Given that, 4 persons ran a race.
Craig took 25.9 minutes
32.28 minutes took by Charlie
32.2 minutes by Randy
25.85 by Sam
To find who own second, third and fourth
Arranged the decimals in ascending order and found the answers.
By arranging in ascending order:
Ascending order means to arrange numbers in increasing order, that is, from smallest to largest.
First is Sam = 25.85
Second is Craig = 25.9
Third is Randy = 32.2
Fourth is Charlie = 32.28
Hence, from the data second is Craig, third is Randy and fourth is Charlie.
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Anyone know how to solve this. I got 4 but wasn’t correct
Answer:
12
Step-by-step explanation:
A refrigerated truck leaves a rest stop traveling at a steady rate of 56 mi/h. A car leaves
same rest stop 1/4 hour later following the truck at a steady rate of 64 mi/h. How long after the truck leaves the rest stop will the car overtake the truck? Write an equation and solve
Answer:
Step-by-step explanation:
T=56t and C=64(t-.25)
64(t-.25)=56t
64t-16=56t
8t-16=0
8t=16
t=2 hours
any help would be appreciated(brainly for best answer)
Answer:
(See below)
Step-by-step explanation:
m<1 = 180-130= 50 degrees
because <1 and the 130 degree angle are a linear pair so they are supplementary
m<2 = 50 degrees
because <1 and <2 are alternate interior angles so they are congruent
Based on the table below, identify the
slope and y-intercept of the linear
equation.
Answer:
y-intercept: 3
slope: -3
Step-by-step explanation:
The y-intercept is the point at which a line crosses the y-axis, which means that the y-intercept must be (0, y). The only value at which x is 0 is (0, 3), so the y-intercept is 3.
The definition of slope is rise over run, or:
\(m=\frac{y_2-y_1}{x_2-x_1}\)
Choose any two coordinates and replace the values in:
\(m=\frac{6-3}{-1-0} \\m=\frac{3}{-1}\\m=-3\)
find the amount and the compound interest on rupees 10000 for 2 years at 5% per annum compounded annually
Answer:
11025
Step-by-step explanation:
100+5÷100=1.05 squared
10000x1.05squared=11025
Answer:
Amount = 11205
CI = 1205
Step-by-step explanation:
\(a = p(1 + \frac{r}{n} ) {}^{nt} \)
Here,
p = 10000
r = 5% = 5/100 = 0.05
n = 1
t = 2
\(a = 10000(1 + \frac{0.05}{1} ) {}^{1 \times 2} \)
\(a = 10000(1.05) {}^{2} \)
\(a = 10000(1.1025)\)
\(a = 11205\)
C.I = a - p
C.I = 11205 - 10000
C.I = 1205
So, the uni• What if the regular price of CDs is 5 for $20? What is the unit rate forCDs at the regular price? Explain how you found your answer.Houghton Mifflin Harcourt Publishing Company
Answer:
Step-by-step explanation:
An alloy contains 13. 5 gms of copper and 4. 5 gms of zinc. Find the ratio by mass of copper to zinc in the alloy
The ratio by mass of copper to zinc in the alloy is 3:1.
To find the ratio by mass of copper to zinc in the alloy, we need to first calculate the total mass of the alloy. We can do this by adding the mass of copper and zinc:
Total mass of alloy = 13.5 g + 4.5 g = 18 g
Now we can find the ratio of copper to zinc by dividing the mass of copper by the mass of zinc:
Ratio of copper to zinc = 13.5 g / 4.5 g = 3:1
Therefore, the ratio by mass of copper to zinc in the alloy is 3:1.
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Evaluate f f zy dA, where D is th region bounded by the line y Hint: Draw a picture and evaluate your integral from left to right. 1 and the parabola y2 = 22 +6.
The integral evaluates to `4z`.
Given that region D is bounded by the line y=1 and the parabola y²=22+6 (or y²=6x). We need to evaluate `∬ D f(x,y) dA`, where `f(x,y)=zy`. The region D can be sketched as follows: Find the bounds of integration: Since the integral is from left to right, the variable y goes from y=1 to y=±sqrt(6x).
The variable x goes from x=0 to x=4. So, the limits of integration are: `0 ≤ x ≤ 4, 1 ≤ y ≤ √(6x)`Using these bounds of integration, we get the following double integral:`∬ D f(x,y) dA = ∫₀⁴ ∫₁^√(6x) zy dy dx`Evaluating the inner integral:`∫₁^√(6x) zy dy = [z(y²/2)]₁^√(6x) = z(3x-x²/2)`Substituting this in the original integral,
we get:`∬ D f(x,y) dA = ∫₀⁴ z(3x-x²/2) dx`Evaluating the integral:`∫₀⁴ z(3x-x²/2) dx = z[3(x²/2)-x³/6]₀⁴= z(24/6) = 4z`Hence, `∬ D f(x,y) dA = 4z`.
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a data set consists of the data given below plus one more data point. when the additional point is included in the data set the sample mean of the resulting data set is 26.5. what is the value of the additional data point?23, 28, 20, 33, 42, 12, 19, 50, 36, 25, 19
The value of the additional data point is 36
To find the value of the additional data point, we can use the concept of the sample mean.
Given the data set: 23, 28, 20, 33, 42, 12, 19, 50, 36, 25, 19.
The sample mean of this data set is 26.5.
To find the value of the additional data point, we can use the formula for the sample mean:
(sample mean) = (sum of all data points) / (number of data points)
In this case, we have 11 data points in the original data set. Let's denote the value of the additional data point as x.
Therefore, we can set up the equation:
26.5 = (23 + 28 + 20 + 33 + 42 + 12 + 19 + 50 + 36 + 25 + 19 + x) / 12
Multiplying both sides of the equation by 12 to eliminate the fraction, we have:
318 = 282 + x
Subtracting 282 from both sides of the equation, we find:
x = 318 - 282
x = 36
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.
A triangle has sides with length in centimeters that are consecutive even integers. Find the lengths if the perimeter is 186cm?
Answer: 60,62,64
Step-by-step explanation:
69+62+64=186
I divided 186 by 3 (since triangles have 3 sides) and played with the numbers from there.
GIVING BRAINLIEST FOR RIGHT ANSWER (provide proof please i need to know how you got the answer)
Answer:
x > 3
Step-by-step explanation:
This is an open circle, meaning there will be no equal sign.
The line is going to the right of 3, meaning x > 3
So, our inequality is x > 3
-1/2 = 3/8y
y = ______________
Answer:
y=-4/3
Step-by-step explanation:
i hope this helps
In each of the following situations, a significance test for a population mean µ is called for. State the null hypothesis H0 and the alternative hypothesis Ha in each case. Then, assume p=0.02. State the decision that should be made based upon this p-value. Be sure to justify your decision.
a) Experiments on learning in animals sometimes measure how long it takes a mouse to find its way through a maze. The mean time is 18 seconds for one particular maze. A researcher thinks that a loud noise will cause the mice to complete the maze faster. She measures how long each of 10 mice takes with a noise as stimulus.
b) The examinations in a large accounting class are scaled after grading so that the mean score is 50. A self-confident teaching assistant thinks that his students have a higher mean score than the class as a whole. His students this semester can be considered a sample from the population of all students he might teach, so he compares their mean score with 50.
c) A university awards credit in French language courses to students who pass a placement test. The language department wants to know if students who get credit in this way differ in their understanding of spoken French from students who actually take the French courses. Some faculty think the students who test out of the courses are better, but others argue that they are weaker in oral comprehension. Experience has shown that the mean score of students in the courses on a standard listening test is 24. The language department gives the same listening test to a sample of 40 students who passed the credit examination to see if their performance is different
(expert answer asks for more information, but this is all that was given. There was no more significance testing information given)
The null hypothesis (H0) and alternative hypothesis (Ha) for each situation are a) H0: µ = 18 Ha: µ < 18 b) H0: µ = 50 Ha: µ > 50 c) H0: µ = 24 Ha: µ ≠ 24. Based on the given p-value of 0.02, the decision for each situation are a) Since p < 0.05, we reject the null hypothesis b) Since p < 0.05, we reject the null hypothesis c) Since p < 0.05, we reject the null hypothesis.
The null hypothesis (H0) and alternative hypothesis (Ha) for each situation are as follows:
a) H0: µ = 18 (the mean time for mice to complete the maze is equal to 18 seconds)
Ha: µ < 18 (the mean time for mice to complete the maze is less than 18 seconds)
b) H0: µ = 50 (the mean score for the teaching assistant's students is equal to 50)
Ha: µ > 50 (the mean score for the teaching assistant's students is greater than 50)
c) H0: µ = 24 (the mean score for students who passed the credit examination is equal to 24)
Ha: µ ≠ 24 (the mean score for students who passed the credit examination is not equal to 24)
Based on the given p-value of 0.02, the decision for each situation is as follows:
a) Since p < 0.05, we reject the null hypothesis and conclude that the loud noise does cause the mice to complete the maze faster.
b) Since p < 0.05, we reject the null hypothesis and conclude that the teaching assistant's students do have a higher mean score than the class as a whole.
c) Since p < 0.05, we reject the null hypothesis and conclude that the students who passed the credit examination do differ in their understanding of spoken French from students who actually take the French courses.
These decisions are justified because a p-value less than 0.05 indicates that there is a statistically significant difference between the sample mean and the population mean, and therefore we can reject the null hypothesis and accept the alternative hypothesis.
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11/n=8/5 solve for n
Answer:
n = 55/8
Step-by-step explanation:
\(\frac{11}{n} = \frac{8}{5}\\\\cross \ multiply :\\ 8 \times n = 11 \times 5\\\\n = \frac{11 \times 5}{8} = \frac{55}{8}\)
Answer:
\(n=\frac{55}{8}\)
Step-by-step explanation:
First, cross multiply
\(\frac{11}{n} =\frac{8}{5}\)
\((11)*(5)=8*n\)
\(55=8n\)
Now, flip the equation
\(8n=55\)
Divide both sides by 8
\(\frac{8n}{8} =\frac{55}{8}\)
\(n=\frac{55}{8}\)
hope this helps :)
A study examined the relationship between years spent smoking and attitudes toward quitting by asking participants to rate their optimism for the success of a treatment program. If there were a negative relationship between these variables, what should the results of the study be like
The results of the study examining the relationship between years spent smoking and attitudes toward quitting should show a negative relationship between these variables. This means that as the number of years spent smoking increases, participants' optimism for the success of a treatment program should decrease.
In the study, participants were asked to rate their optimism for the success of a treatment program, which serves as a proxy for their attitudes toward quitting. The variable being measured is the level of optimism, which can be quantified using a numerical rating scale or likert scale. The independent variable is the number of years spent smoking, which represents the duration of smoking behavior.
To determine the relationship between these variables, researchers would likely conduct statistical analyses, such as correlation or regression analysis. These analyses would examine the association between the number of years spent smoking and participants' optimism ratings. A negative relationship would be indicated by a statistically significant negative correlation coefficient or a negative regression coefficient.
The study's results should demonstrate that as the number of years spent smoking increases, participants' optimism for the success of a treatment program decreases. This suggests that individuals who have been smoking for a longer duration may be less hopeful about quitting successfully.
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What is the HCF of the polynomials x6 3x4 3x² 1 and x³ 3x² 3x 1?
The HCF of the polynomials x^6 - 3x^4+ 3x² - 1 and x³+ 3x^2+ 3x+ 1 is (x+1)^3.
Let us suppose the Polynomials to be f(x) = x^6 - 3x^4 + 3x^2 - 1 And polynomial g(x) = x^3 + 3x^2 + 3x + 1
Now, According to the question,
we have f(x) = x^6 - 3x^4 + 3x^2 - 1
Adding and subtracting 2^x2,
⇒ x^6 - x^4 - 2x^4 + 2^x2 + x^2 - 1
⇒ x^4(x^2 - 1) - 2x^2(x^2 - 1) +1(x^2 + 1)
⇒ (x^2 - 1)(x^4 - 2x^2 + 1)
⇒ (x + 1)(x - 1)(x^4 - 2x^2 + 1)
⇒ (x + 1)(x - 1)(x2 - 1)^2
⇒ (x + 1) (x - 1) (x + 1)^2 (x - 1)2
⇒ (x + 1)^3(x - 1)^3 ----(1)
And, g(x) = x^3 + 3x^2 + 3x + 1
⇒ x^3 + x^2 + 2x^2 + 2x + x + 1
⇒ x^2(x + 1) + 2x(x + 1) + 1(x + 1) ⇒ (x + 1)(x^2 + 2x + 1)
⇒ (x + 1) (x + 1)2 ⇒ (x + 1)3 ----(2)
Now, The HCF of f(x) and g(x) is the common factor of equations (1) and (2)
⇒ (x + 1)^3 .
∴ The HCF of the polynomials (x^6 - 3x^4 + 3x^2 - 1) and (x^3 + 3x^2 + 3x + 1) is (x + 1)^3.
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I'm sorry I need to do this fast so could you explain this to me
Answer:
(a)
• C(x)=88000+5500x
,• R(x)=7500x
(b)55 times
Explanation:
Let the number of performances = x
• The cost of producing the musical = $88,000
,• The cost per performance = $5900
(a)Thus, the total cost for x performances:
\(\text{Cost,C(x)}=88000+5900x\)The revenue per performance is $7500, therefore, the equation for revenue is:
\(R(x)=7500x\)(b)To break even, the cost must be equal to revenue.
\(\begin{gathered} C(x)=R(x) \\ 88000+5900x=7500x \end{gathered}\)Next, solve for x.
\(\begin{gathered} 88000=7500x-5900x \\ 88000=1600x \\ x=\frac{88000}{1600} \\ x=55 \end{gathered}\)The musical must be performed 55 times to break even.
ayuda ES URGENTE 911
Answer: B D I J M
Step-by-step explanation: you just gotta see if any of the two answers work an if they don’t it’s nethier!
5) A warehouse outside of a factory currently has an inventory of 1245 boxes. After an 8-
hour work day, the warehouse has 2000 boxes. Assume the warehouse was being filled at a
constant (linear) rate.
a) How many boxes per hour is the factory able to provide to the warehouse?
b) What would be the inventory at the end of a 40-hour work week?
c) How long will it take to fill the warehouse to its 50,000 box capacity?
6) In the year 2007, a FOREVER stamp cost cost $0.41. In 2023, the cost of a FOREVER
stamp was $0.63. Assume that the cost of stamps increased at a constant (linear) rate.
a) If price increases continue at the current rate, how much will a FOREVER stamp
cost in 2035?
b) In what year would you expect a FOREVER stamp to cost one dollar?
7) In January of 2021, there were 980,000 games available on the Apple App Store. By July
of 2021, there were 984,200 games available. If we assume that the number of available
games is steadily increasing at a constant (linear) rate,
a) How many games does this pattern predict will be available in January 2022?
b) At this rate, when will there be 1,000,000 games available for purchase in the Apple
App Store?
Thee factory is able to provide 94.38 boxes per hour to the warehouse.
How to calculate the valueRate = (2000 - 1245) / 8 = 94.38 boxes per hour
Therefore, the factory is able to provide 94.38 boxes per hour to the warehouse.
Boxes added in 40 hours = rate * time = 94.38 * 40 = 3,775.2
Therefore, the inventory at the end of a 40-hour work week would be:
1245 + 3775.2 = 5020.2 boxes
rate = (50000 - 1245) / time
Simplifying this equation, we get:
time = (50000 - 1245) / rate = 511.64 hours (rounded to two decimal places).
Therefore, it will take approximately 511.64 hours to fill the warehouse to its 50,000 box capacity,
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Δ ABC and ΔDEF are similar triangles. If m∠A =104∘and m∠E = 36∘, what is ∠C?
1. 36
2. 40
3. 76
4. 104
Answer:
2
x=40
Step-by-step explanation:
A triangle has 180 degrees and considering that triangle ABC is similar to DEF that means they have the same angle (A=D,B=E,C=F)
180=104 +36+x
180=140+x
180-140=x
40=×
The sum of a number and -53 is 89 (how do you write this in a equation)?
Answer:
x + -53 = 89
Step-by-step explanation:
You want to try and find the term x using the information given. If 1 + 2 = 3, then 3 - 2 = 1. The same goes for this scenario. Just replace "1" with x, "2" with -53 and "3" with 89. Does this help?
An anthropologist visits an igloo with a circular floor. While there, she measures it and calculates that it has a circumference of 48.984 feet. What is the floor's diameter?
)) Use 3.14 for r. If necessary, round your answer to the nearest hundredth.
Answer:
The formula for circumference of a circle is C = πd, where C is the circumference and d is the diameter.
We are given that the circumference is 48.984 feet, and we can use the approximation of π as 3.14.
Substituting into the formula, we have:
48.984 = 3.14d
To solve for d, we divide both sides by 3.14:
d = 48.984 / 3.14
d ≈ 15.6 feet
Therefore, the floor's diameter is approximately 15.6 feet.
one number is 5 more than 4 times another number. their sum is 35. find the 2 numbers
eleven decreased by a number is at most nineteen
Pls make it into a expression
Answ
n-11 ≤ 19
or 11-n ≤ 19
Step-by-step explanation:
Mrk ME BRAINLIEST PLZZZZZZZZZZZZ
Decide if the segments can make a triangle. Answer with Yes/No and explain your answer.
9: 8 cm, 12 cm, 16 cm
10: 5 in, 7 in, 20 in
9. Yes, since \(8+12>16\), meaning the side lengths satisfy the triangle inequality.
10. No, since \(5+7<20\), meaning the side lengths do not satisfy the triangle inequality.