[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]
Find the slope of the line that goes through (2, 8) and (4, 6)
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]
The slope formula will help us find the slope, Here it is:-
[tex]\Large\text{$\displaystyle\frac{y_2-y_1}{x_2-x_1}$}[/tex]
Now, replace y2 with 6, y1 with 8, x2 with 4, and x1 with 2:-
[tex]\Large\text{$\displaystyle\frac{6-8}{4-2}$}[/tex]
Simplifying,
[tex]\Large\text{$\displaystyle\frac{-2}{2}$}[/tex]
Simplifying further,
[tex]\hookrightarrow\underline{\boxed{\sf{Slope=-1}}}[/tex]
Good luck with your studies.#TogetherWeGoFar
[tex]\rule{300}{1}[/tex]
Answer:
[tex]\sf \boxed{-1} \ \ is \ the \ slope[/tex]
Explanation:
[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]
Here given points: A(2,8) and B(4,6)
Find slope (m):
[tex]\sf \rightarrow \dfrac{6-8}{4-2}[/tex]
simplify
[tex]\sf \rightarrow -1[/tex]
AdditionalTo find equation:
[tex]\sf y-y_1 = m(x-x_1)[/tex]
[tex]\rightarrow y-8 = -1(x-2)[/tex]
[tex]\rightarrow y = -x+2+8[/tex]
[tex]\rightarrow y = -x+10[/tex]
Solve pls i give brainlist to correct answer.
Answer:
Maggie can run faster by 0.85 minutes.
Maggie runs in 5.20 minutes, Olivia runs in 4.35 minutes.
Step-by-step explanation:
Maggie = can run a mile in 5.2 minutes (1.3/0.25)
Olivia = can run a mile in 4.35 minutes (2.9/0.666666667)
5.2-4.35= 0.85 minutes
Composite Figures
Find the volume of the composite figure.
First, find the volume of the cylinder.
Use 3.14 for TT.
Cylinder
8 cm
Volume = [?] cm³
5 cm
4 cm
Rectangular prism
Volume = [] cm³
8 cm
1,005.44
Pir^2h
3.142*8*8*5
1,005.44
Jodie started washing her car at 10:15 am she finished at 10:50 am how long did it take jody to wash her car.
Answer:
35 minutes
Step-by-step explanation:
this requires us to find out how long it took and because both times given to figure this out are within the same hour it is easy to figure out in this case, 50 - 15 = 35. This is not as simple with all problems like this but because of the times given in this problem its much easier.
Lara has been hired for a new sales position at a local store. The salaries of the seven people who have been working at the store for one year are listed in this table.
Which statistic(s) can Lara use to predict what her salary most likely will be after one year?
Answer:
The Median or The Mode
Step-by-step explanation:
I had the same question on a quiz and got it right
Construct a 90% confidence interval for the population mean, . assume the population has a normal distribution. a sample of 15 randomly selected students has a grade point average of 2.86 with a standard deviation of 0.78
Answer:
[tex]CI=\{2.5053,3.2147\}[/tex]
Step-by-step explanation:
Assuming the conditions for constructing a t-confidence interval are true, we use the formula [tex]\displaystyle CI=\bar{x}\pm t^*\biggr(\frac{s}{\sqrt{n}}\biggr)[/tex] where our sample mean is [tex]\bar{x}=2.86[/tex], our sample standard deviation is [tex]s=0.78[/tex], our sample size is [tex]n=15[/tex], and a 90% confidence level is equivalent to a critical value of [tex]t^*=1.7613[/tex],
[tex]\displaystyle CI=\bar{x}\pm z^*\biggr(\frac{s}{\sqrt{n}}\biggr)\\\\CI=2.86\pm 1.761\biggr(\frac{0.78}{\sqrt{15}}\biggr)\\\\CI=2.86\pm0.3547\\\\CI=\{2.5053,3.2147\}[/tex]
Hence, we are 90% confident that the true population mean of a student's grade point average is between 2.5053 and 3.2147
Explain how to solve this problem:
A credit card company charges 12.9% annual interest. If they
compound interest monthly, how much will you owe for every dollar
you do not pay off for a year?
"every dollar" means P = 1
compounded monthly interest means 12
1(1+(.129/12)^(12(1)) =
in calculator do pemdas
1. .129/12 = 0.01075
2. 0.01075 + 1 = 1.01075
3. (1.01075)^12 = 1.136907156 =
answer = 1.14
Mayfield schools
lcps
What is the product? startfraction x squared minus 16 over 2 x 8 endfraction times startfraction x cubed minus 2 x squared x over x squared 3 x minus 4 endfraction
The product of the given expression is [tex]\frac{x(x-1)(x-4)}{2(x+4)}[/tex] OR [tex]\frac{x(x^{2} -5x+4)}{2x+8}[/tex] OR [tex]\frac{x^{3} -5x^{2} +4x}{2x+8}[/tex]
Simplifying fractionsFrom the question, we are to determine the product of the given expressions
The given expressions are
[tex]\frac{x^{2} - 16}{2x+8}\times \frac{x^{3}-2x^{2} +x}{x^{2} +3x-4}[/tex]
[tex]\frac{(x+4)(x-4)}{2(x+4)}\times \frac{(x^{2} -x)(x-1)}{(x-1)(x+4)}[/tex]
[tex]\frac{(x-4)}{2}\times \frac{(x^{2} -x)}{(x+4)}[/tex]
[tex]\frac{(x-4)}{2}\times \frac{x(x-1)}{(x+4)}[/tex]
[tex]\frac{x(x-1)(x-4)}{2(x+4)}[/tex]
OR
[tex]\frac{x(x^{2} -5x+4)}{2x+8}[/tex]
OR
[tex]\frac{x^{3} -5x^{2} +4x}{2x+8}[/tex]
Hence, the product of the given expression is [tex]\frac{x(x-1)(x-4)}{2(x+4)}[/tex] OR [tex]\frac{x(x^{2} -5x+4)}{2x+8}[/tex] OR [tex]\frac{x^{3} -5x^{2} +4x}{2x+8}[/tex]
Learn more on Simplifying fractions here: https://brainly.com/question/27038950
Here is the complete and correct question:
What is the product? StartFraction x squared minus 16 Over 2 x + 8 EndFraction times StartFraction x cubed minus 2 x squared + x Over x squared + 3 x minus 4 EndFraction
#SPJ4
Answer:
A. StartFraction x (x minus 4) (x minus 1) Over 2 (x + 4) EndFraction
Step-by-step explanation:
correct on edge :)
Can someone help me with this question?
A bag contains 12 movie tickets and 8 concert tickets. You randomly choose 1 ticket and do not replace it. Then you randomly choose another ticket. Find the probability that both events A and B will occur. Round your answer to the nearest tenth.
Event A: The first ticket is a concert ticket.
Event B: The second ticket is a concert ticket.
about ___%.
To solve this problem, we have to understand probability without replacement and consider the two events happening. The probability that both events occurs is 14%
Probability without replacementTo solve this problem, let's write down the data given;
Data;
Movie Ticket = 12Concert Ticket = 8But we are asked to calculate the probability that both times we pick both tickets, it would be a concert ticket.
Total number of tickets =
[tex]12 + 8 = 20[/tex]
Let's proceed for the first event
[tex]P = \frac{8}{20}= \frac{2}{5}[/tex]
The probability the second event occurs will be
[tex]P = \frac{7}{20}[/tex]
The probability both events occur will be
[tex]P = P_a * P_b = \frac{2}{5} * \frac{7}{20} = \frac{7}{50} =0.14 = 14\%[/tex]
The probability that both events occurs is 14%
Learn more on Probability without replacement here;
https://brainly.com/question/11405286
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What is the probability of pulling a card from a deck of 52 cards and getting a king and a queen?
Answer:
4/52 or 1/13
Step-by-step explanation:
In a standard deck of 52 cards, there are 4 suits and each suit has 13 cards.
There are 4 kings, 4 queens, 4 aces, and 4 jacks.
So the probability of drawing a king would be:
4/52 = 1/13
Answer:
The probability of drawing a King is 4/52 or about . 0769, which is also the probability of drawing a Queen. The probability that a card drawn from the deck will be both a King and a Queen is zero. The probability that a card will be either a King or a Queen is 8/52.
Step-by-step explanation:
52 cards in a deck 4 queens and 4 kings
(I will give brainlist ) What is the equation of the following graph?
Answer: y=1/3x+2
Step-by-step explanation:
Write the slope-intercept form of the equation of the line through the given points.
through: (0,4) and (5,-2
Answer:
Step-by-step explanation:
(-2-4)/(5-0)= -6/5
y - 4 = -6/5(x - 0)
y - 4 = -6/5x + 0
y = -6/5x + 4
Which of the following can represent the three angles in an obtuse, scalene triangle?
-50, 30, 100
-40, 50, 90
-30, 30, 120
-50, 50, 80
Answer:
30, 30, 120
Step-by-step explanation:
Answer:
•50, 30, 100
Step-by-step explanation:
One side (100) is much bigger than the rest (over 90), and the other two are not alike or the same, making it scalene.
helppppppppppppppppppp!!!!!!!!
The answer is C.
Step-by-step explanation:
I can't explain but I literally just did this question and I got it right
Make sure your answer is in degrees. you should be able to find this without a calculator.
sin-1 -1/2 = ?
Answer:
Below.
Step-by-step explanation:
sin-1 1/2 = 30 degrees in the first quadrant.
As the sin is negative in Quadrants 3 and 4,
sin01 -1/2
= 210, 330 degrees, in the range 0-360 degrees
Answer: -30°
Step-by-step explanation:
right on acellus
3. Ramu finishes 1/3 part of a work in 1 hour. How much part of the work will be finished in 1 2/5 hours?
Keisha has two dogs. The larger dog weighs 1.2 pounds more than the smaller dog. The combined weight of the two dogs is 13.6 pounds. What is the weight, in pounds, of the smaller dog?
Answer:
x = 6.2
Step-by-step explanation:
let ‘x’ denotes the weight of a smaller dog.
“1.2″ + x” be the weight of the larger dog
combined weight = 13.6
smaller dog weight =
x+x+1.2 = 13.6
2x + 1.2 = 13.6
2x = 13.6–1.2
2x = 12.4
x = 12.4/2
x = 6.2 pounds.
Hope you understood it, Happy Learning.
Passengers, who are travelling in a car west along a road that runs east-west, see a mountain 9 km away on a bearing of 290°. When they have travelled a further 5 km west along the road, what will be the distance to the mountain?
Fake records usually have fewer first digits 1, 2, and 3. What is the approximate probability, if Benford's law holds, that among 1500 randomly chosen invoices there are 843 or fewer amounts with first digit 1, 2, or 3
The probability that there are 843 or fewer amounts with first digit 1, 2, or 3 is 0.562
How to determine the probability?The given parameters are:
Fewer digits = 843
Total = 1500
The probability is then calculated as:
P = 843/1500
Evaluate the quotient
P = 0.562
Hence, the probability that there are 843 or fewer amounts with first digit 1, 2, or 3 is 0.562
Read more about probability at:
https://brainly.com/question/251701
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16
20
Х
Solve for x.
Answer:
im assuming 24?
Step-by-step explanation:
bc 16 plus four is 20 so i did the same for 20 i like 96 % that this could be wrong
Marcia has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest rate. the table below shows the information about the two credit cards marcia currently uses. card a card b amount $1,389.47 $1,065.32 apr 16% 12% monthly payment $39.38 $28.05 after 4 years, approximately how much will marcia have saved in interest by consolidating the two balances? a. $1,890.24 b. $133.92 c. $543.84 d. $1,346.40 please select the best answer from the choices provided. a b c d
The amount save by Marcia in interest by consolidating the two balances is $133.92.
What is the total payment for APR of 16%?
The total monthly payment for APR of 16% is calculated as follows;
Total monthly payments for 16% =$39.38x48 = $1890.24
What is the total payment for APR of 12%?Total monthly payments for 12% APR = $36.59*48 = $1756.32
Amount saved by MarciaA = $1890.24 - $1756.32
A = $133.92
Learn more about APR here: https://brainly.com/question/2772156
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4. Write an expression to find the perimeter
of the rectangle below. 6x
3x-5
Answer:
Down below
Step-by-step explanation:
If I am correct, it would be 6x + 6x + 3x - 5 + 3x - 5. I am almost positive this is what they are asking for. If I am incorrect, I will answer three questions for free, on any topic of your choosing. In advance, sorry if I'm incorrect.
What is the sum of the following equation: (9+5)*43x(23,550-32)*655
Answer:
1,012,632....I'm sure that's is answerWork out the surface area of this cylinder
Diameter is 12 cm
Height is 25 cm
Answer:
The surface area of this cylinder is 1168.67
Step-by-step explanation:
To find the surface area of a cylander use this formula
A = 2π[tex]\frac{d}{2}[/tex]h+2π([tex]\frac{d}{2}[/tex])²Plug in
A = 2 × π × [tex]\frac{12}{2}[/tex] × 25 + 2 × π × [tex]\frac{12}{2}[/tex]²Answer is 1168.67
if a area of a rectangle is 45...
set up an equation that must be true:
w = x
L = x-4
Answer: x times (x-4)=45
Step-by-step explanation:
First since the area is 45 that’s what the equation has to be equal to.
To find the area you always have to do length times width. So the width (x) times the length (x-4) equals 45.
I really need help!! Imagine you bought a car that is valued at $20,000 but depreciates at a rate of 15% per year. How much is the car worth after 5 years? What is your classmate’s error, what is the correct equation, and what is the value of the car after 5 years?
thanks
Answer:
[tex]20000 \times 0.15 \times 5 = 15000 \\ 20000+15000=35000
Step-by-step explanation:
20000 times (0.15 is rate) times years (5)
Answer you get is 15000 , then you have to take 20000+15000=35000
julie buys a bike for $2700 and sells it a year later, making a 15% profit
How much profit did Julie make?
Answer:
$405.
Step-by-step explanation:
That would be 15% of $2700
= 2700 * 0.15
= $405
What is the total amount that Matthew's bank will receive after lending him $8,000 for four years at an interest rate of 6 percent, compounded annually? TA= P (1+i)^t
Answer:
10,099.80
Step-by-step explanation:
Given: The principal amount (P)= $8,000
The rate of interest (i)= 6 % = 0.06
Time = 4 years
The formula to calculate the compound amount in x years is given by :-
Then the compound amount received by Matthew after 4 years will be:_
Hence, the total amount that Matthew's bank will receive afeter 4 years =$10,099.80
Answer:
$10,099.82
Step-by-step explanation:
Given formula: [tex]\sf TA = P (1+i)^t[/tex]
where:
TA = total amountP = principal amounti = interest rate (in decimal form)t = time (in years)Given:
P = $8,000i = 6% = 0.06t = 4 yearsSubstituting the given values into the formula:
[tex]\implies \sf TA=8000(1+0.06)^4[/tex]
[tex]\implies \sf TA=10099.81568[/tex]
Therefore, the total amount the Matthew's bank will receive is $10,099.82
You chose an EXPONENTIAL model with the equation:
y=4.04·0.56x
In the context of the tennis balls:
(1) What does 4.04 mean?
(2) What does 0.56 mean?
Equation: y = 4.04·0.56^x
(1) What does 4.04 mean?Solution: Here in the exponential model, the height is 4.04 feet when the bounce number is 0. It represents the initial height. (original, starting value)
(2) What does 0.56 mean?Solution: 0.56 represents the represents the growth rate of how much the height will decrease with the amount of bounces. (growth factor)
Extra's :x represents the unit of measure of bounces.
General equation
y=ab^x#1
Here
a is 4.04So it represents the initial value where x is 0 as any number⁰ is 1#2
0.56 is bit's the rate of change with respect to xevaluate the expression when m=5 and n=29 n-4m
Answer:
9
Step-by-step explanation:
substitute m = 5 and n = 29 into the expression
n - 4m
= 29 - 4(5)
= 29 - 20
= 9
What is the value of the expression below when t = 6?
Answer:
C. -18
I hope that this helped you.
Answer:
C. -18
Step-by-step explanation:
The value of the expression is found by substituting the given value for the variable and following the Order of Operations to evaluate it.
__
[tex]\dfrac{2(4(6-t)^2+t-3(t+5))}{3}\qquad\text{given}\\\\=\dfrac{2(4(6-6)^2+6-3(6+5))}{3}=\dfrac{2(4(0^2)+6-3(11))}{3}=\dfrac{2(6-33)}{3}\\\\=\dfrac{2(-27)}{3}=\dfrac{-54}{3}=\boxed{-18}[/tex]
_____
Additional comment
In this instance, the Order of Operations can be shortcut a bit by factoring 3 from the numerator and denominator early in the evaluation.
= 2(2 -11) = 2(-9) = -18
