Answer:
2/3
Step-by-step explanation:
slope = change in y / change in x = (-7-(-1))/(-5-4) = (-6)/(-9) = 2/3
Given that the points (-32, - 10) and (-74, 11) lie on a line, what is the
equation of the line?
The equation of the line is:
[tex]y=\frac{-1}{2}x-26[/tex]
The point-slope equation of a line is given as:
[tex]y-y_1=m(x-x_1)[/tex]
where m represents the slope, and is calculated as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
For the line passing through the points (-32, - 10) and (-74, 11)
[tex]x_1=-32, y_1=-10, x_2=-74, y_2=11[/tex]
Substitute these points into the slope formula to get the slope of the line
[tex]m=\frac{11-(-10)}{-74-(-32)} \\\\m=\frac{11+10}{-74+32} \\\\m=\frac{21}{-42} \\\\m=\frac{-1}{2}[/tex]
Substitute [tex]m=\frac{-1}{2}, x_1=-32, y_1=-10[/tex] into the line equation
[tex]y-(-10)=\frac{-1}{2}(x-(-32))\\\\y+10=\frac{-1}{2}x-16\\\\y= \frac{-1}{2}x-16-10\\\\y=\frac{-1}{2}x-26[/tex]
The equation of the line is:
[tex]y=\frac{-1}{2}x-26[/tex]
Learn more on equation of a line here: https://brainly.com/question/13763238
a Find the total surface area of a cuboid with dimensions 4cm × 3cm × 2cm.
B)If the length of the cube, 4cm, is doubled, what is the new surface area of the cuboid?
Answer:
24 millimeters B) Area of one side= 4*4
=16
Total number of faces= 6
Then total area= area of one side* number of sides
=16*6
=96 square cm
Step-by-step explanation:
[6x(5-3)+9]-5 with step by step
Answer: 10
Step-by-step explanation: [30-24+9]=15-5=10
The answer after calculation the given expression using PEDMAS rule: [6x(5-3)+9]-5 is 16.
What is the answer using PEDMAS?The given expression, [6x(5-3)+9]-5, can be simplified using the order of operations, also known as PEDMAS P – Parenthesis First: B – Brackets First
E – Exponents
D – Division
M – Multiplication
A – Addition
S – Subtraction
First, we evaluate the expression inside the bracket: 5-3, which equals 2. Substituting this result back into the expression, we have [6x2+9]-5.
For the next step, we perform the multiplication operation. Multiplying 6 by 2 gives us 12. Now our expression becomes [12+9]-5.
Moving on to addition, we add 12 and 9, resulting in 21. Our expression now becomes [21]-5.
Finally, we subtract 5 from 21, which gives us 16. Thus, the value of the expression [6x(5-3)+9]-5 is 16.
Read more about PEDMAS here: https://brainly.com/question/345677
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What are the roots of the equation x^2+18x+90=0x
2
+18x+90=0 in simplest a+bia+bi form?
[tex]x^2 +18x +90 = 0\\\\\text{Apply quadratic formula,}~~ x = \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a} \\\\\text{In this case, a = 1 , b = 18 and c = 90.}\\\\\implies x = \dfrac{-18 \pm \sqrt{18^2 - 4 \cdot 1 \cdot 90}}{2(1)}\\\\\implies x = \dfrac{-18 \pm \sqrt{-36}}2\\\\\implies x = \dfrac{-18 \pm 6i}2\\\\\implies x= -\dfrac{18}2 \pm \dfrac{6i}2\\\\\implies x= -9 \pm 3i[/tex]
you buy 2.3 pounds of apples for $1.43 per pound. how much do you spend
Answer:
$3.36
Step-by-step explanation:
$1.43 = 1 lbs
$1.43 + $1.43 = $2.86
$2.86 + .3 = $3.36
A retailer needs to purchase 11 printers. The first printer costs $58, and each additional printer costs 5% less than the price of the previous printer, up to 15 printers. What is the total cost of 11 printers?
$381.99
$500.19
$606.10
$609.00
Answer:
$500.19 is the answer
Step-by-step explanation:
pls vote branliest
The total cost of 11 printers is $500.19.
Given that,
A retailer needs to purchase 11 printers.
The first printer costs $58, and each additional printer costs 5% less than the price of the previous printer, up to 15 printers.
We have to determine,
What is the total cost of 11 printers?
According to the question,
The first printer costs $58.
Each additional printer costs 5% less than the price of the previous printer, up to 15 printers.
The cost of a second printer is,
= 0.95 × 58 = $55.1
The cost of a third printer is,
= 0.95 × 55.1 = $52.345
The cost of a fourth printer is,
= 0.95 × 52.345 = $49.727
The cost of a fifth printer is,
= 0.95 × 49.727 = $47.241
The cost of a sixth printer is,
= 0.95 × 47.241 = $44.879
The cost of a seventh printer is,
= 0.95 × 44.879 = $42.635
The cost of an eight printer is,
= 0.95 × 42.635 = $40.50
The cost of a nineth printer is,
= 0.95 × 40.50 = $38.478
The cost of tenth printer is,
= 0.95 × 38.478 = $36.554
The cost of the eleventh printer is,
= 0.95 × 36.554 = $34.726
Therefore,
The total cost of 11 printers is,
= $58 + $55.1 + $52.345 + $49.727 + $47.241 + $44.879 + $42.635 + $40.50 + $38.478 + $36.554 + $34.726 = $500.19.
Hence, The total cost of 11 printers is $500.19.
For more details refer to the link given below.
https://brainly.com/question/16048559
5x + 3y = 18 solve for y
[tex]5x+3y = 18\\\\\implies 3y = 18 -5x\\\\\implies y = \dfrac 13(18-5x) = 6 - \dfrac 53 x[/tex]
Answer:
y=18-5x/3
Step-by-step explanation:
Hope this helps~
Have a great day
Zero
?????????????????????
Answer: make me brainlist
Step-by-step explanation: 13 is A
the one next to it is D so it is D
Wayne Company is considering a long-term investment project called ZIP. ZIP will require an investment of $136,017. It will have a useful life of 4 years and no salvage value. Annual cash inflows would increase by $80,000, and annual cash outflows would increase by $41,900. Compute the cash payback period
Answer:
3
Step-by-step explanation:
dont ask me
i'm doing this for points, don't question it
One mom has 3 children, and each child attends a different level of school. If the mom plans to pick her children up, what would be her total distance traveled if she starts at the high school, then goes to the elementary school, and finally the middle school? (Write your answer as a decimal rounded to the nearest tenths place). *
Answer: I need the map good sir please show it
Step-by-step explanation:
Nora sold a dozen roses in eAch of the 1,000 sales 6 months ago. How many roses did she sale
Find the solution of the system of equations.
3x – 3y = 18
3x – 8y = -2
Answer:
x=10, y=4
Step-by-step explanation:
3x-3y=18
(-)3x-(-)8y=-(-)2 -3x+8y=2 add to first equation to eliminate x
5y=20
y=4
substitute y with 4
3x-3(4)=18
3x=30
x=10
x=10,y=4
Need help with math problem 5 stars and good rating if do
Answer:
Bottom right
Explanation:
visualize both triangle connected to the middle rectangle, and that's a triangular prism
You attend a karaoke night and hope to hear your favorite song. The karaoke song book has 900 different songs (your favorite song is among them). Assuming that the singers are equally likely to pick any song and no song repeats, what is the probability that your favorite song is one of the 20 that you hear that night?
Answer: I'm assuming it's 20/900 because there is 900 songs in total.
Step-by-step explanation:
The probability that your favorite song is one of the 20 songs you hear that night is 1/900.
To find the probability that your favorite song is one of the 20 songs you hear that night, we can use the concept of probability.
The total number of songs in the karaoke song book is 900. Since each song is equally likely to be picked, the probability of randomly selecting your favorite song from the entire song book is 1 out of 900, or 1/900.
Now, you will hear a total of 20 songs that night. Out of those 20 songs, you want to know the probability that your favorite song is one of them. Since there is only one favorite song, the favorable outcomes are 1.
Therefore, the probability that your favorite song is one of the 20 songs you hear that night is:
Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
Probability = 1 / 900
So, the probability that your favorite song is one of the 20 songs you hear that night is 1/900.
To know more about probability:
https://brainly.com/question/29221515
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What location on the line would you find the constant of proportionality?
Answer:
2.4
Step-by-step explanation:
The constant of proportionality is y=kx which should 2.4
A stadium has 30 rows. The first row has 18 seats.
Each row has 3 more seats than the previous row.
How many seats are in the 25th row?
Answer: 88
Step-by-step explanation:
i took the 18 from the first row and continued to add 3 to get to 88
he Nassau Bahamas Community College (NBC) claims that students who take statistics spend on average 19 hours a week working. The population standard deviation is not known. Statistics students in MAT 102 believe students work more than 19 hours because they want to make more money.
Using the t-distribution, it is found that since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that the students' claim that they work more than 19 hours is correct.
At the null hypothesis, it is tested if they spend on average 19 hours a week working, that is:
[tex]H_0: \mu = 19[/tex]
At the alternative hypothesis, it is tested if they spend more than 19 hours a week working, that is:
[tex]H_1: \mu > 19[/tex]
We have the standard deviation for the sample, hence, the t-distribution is used.
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.Searching the problem on the internet, it is found that the values of the parameters are:
[tex]\overline{x} = 24.2, \mu = 19, s = 12.59, n = 25[/tex]
Hence, the value of the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{24.2 - 19}{\frac{12.59}{\sqrt{25}}}[/tex]
[tex]t = 2.07[/tex]
The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05 and 25 - 1 = 24 df is of [tex]t^{\ast} = 1.71[/tex]
Since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that the students' claim that they work more than 19 hours is correct.
To learn more about the t-distribution, you can take a look at https://brainly.com/question/13873630
41% of what number is 77
Answer: 31.57
Step-by-step explanation:
41% of 77 is what?
41% of 77 is Y
Equation: P% * X = Y
Solving our equation for Y
Y = P% * X
Y = 41% * 77
Converting percent to decimal:
p = 41%/100 = 0.41
Y = 0.41 * 77
Y = 31.57
What is the value of X?
the assumption here is that both triangles are similar, if that's so, then we can use proportions to get the sides.
[tex]\stackrel{\textit{assuming both triangles are similar}}{\cfrac{x}{10}=\cfrac{15}{6x}\implies \cfrac{x}{10}=\cfrac{5}{2x}}\implies 2x^2=50 \\\\\\ x^2=\cfrac{50}{2}\implies x^2=25\implies x=\sqrt{25}\implies \boxed{x=5}[/tex]
the ecpanded form of 239.013
[tex]239.013 = 2 \times 100 + 3 \times 10 + 9 \times 1 + 0 \times 1 \div 10 + 1 \times 1 \div 100 + 3 \times 1 \div 1000[/tex]
hope it helps :)
Answer:
[tex]239.013=2×100+3×10+9×1+0×1÷10+1×1÷100+3×1÷1000[/tex]
Hey, I just have one question, what is 8y −5 < 3?
Answer:
y < 1
Step-by-step explanation:
In order to solve this inequality, we must isolate the y variable.
First add 5 on both sides of the inequality sign:
Now you have 8y < 8.
Then divide by 8 on both sides, to get y alone:
Now you have y < 1.
Hope this helps you :)
Can anyone find all for me please ?
Answer:
It's a good question I seen thank you so much for your help and support me in the morning and have a talk
A store makes $9500 a month in sales. They pay $3325 a month in rent. What percent of their sales is used to pay rent
Answer:
35%
Step-by-step explanation:
We can use the equation "is over over" to give up 3325/9500*?/100, after simplifying your answer is 35%
Brainliest would be appreciated. :-)
Mario has save $200 towards the cost of buying a $1000 computer in the weeks to come he passes seven additional $30 per week create an expression that represents the amount of money Mario has saved after W weeks
Answer:
30w+200=1000
Step-by-step explanation:
Between which two integers does - 1 3/4 lie?
A) -2 and -1
B) -1 and 0
C) 0 and 1
D) 1 and 2
The triangle below is equilateral. Find the length of side x in simplest radical
form with a rational denominator.
Answer:
[tex]\frac{4\sqrt{3} }3}[/tex]
Step-by-step explanation:
Since it is an equilaterla triangle, we can see the side opposite to that of side length 4 is 60 degrees. Since the other angle is a right angle (90 degrees), we can find that the other side is 30 degrees (the degrees add up to 180). We can also see that this is a 30-60-90. We can see that the side x, through the identity (you can find 30-60-90 identity online), we see that the side x is [tex]\frac{4}{\sqrt{3}}[/tex]. However, it is also asking us to simplify this, so we multiply the top and bottom by [tex]\sqrt{3}[/tex] and get [tex]\frac{4}{\sqrt{3} } = \frac{4\sqrt{3} }{3}[/tex]
QUESTION 4 PLEASE HELP ME ASAP
Answer:
Part 1: The entry fee is $5
Part 2: Each minute costs 25 cents
Step-by-step explanation:
In the expression, the '+5' represents the fee added to '.25m' the cost per each minute.
A line passes through the point (-2, -6) and has a slope of
2
No
Write an equation in slope-intercept form for this line.
100 POINTS AND BRANIEST
3) Compare the two groups of data. Which BEST describes data? A) on average boys are 3 centimeters taller than girls B) on average boys are 6 centimeters taller than girls C) on average boys are 9 centimeters taller than girls D) on average boys are 12 centimeters taller than girls
B
Step-by-step explanation:
calculate how long the lines are
Answer:
A 3-column table with 4 rows. Column 1 is labeled Number of Girls with entries 2, 8, 0, 4. Column 2 is labeled Height in Inches with entries 51, 52, 53, 54. Column 3 is labeled Total Height with entries 102, 416, 0, 216. The national average height for girls in the sixth grade is also 52 inches. Find the average height of the girls in this class. The total number of girls is . The total height of the girls is inches. The expression to find the mean is . The average height of the girls in this class is inches.
Step-by-step explanation:
mark me brainliest ok
Which is NOT true?
16 + 3 = 11 + 8
16 = 16
16 - 4 = 7 + 6
16 = 19 - 3
Answer:
16 - 4 = 7 + 6
Step-by-step explanation:
16 - 4 = 12
7 + 6 = 13
