Answer:
14
Step-by-step explanation:
Find the slope of the line thatvpadses through each pair of points (6,-2),(5,-4)
Answer:
2
Step-by-step explanation:
\(\boxed{\begin{minipage}{8cm}\underline{Slope Formula}\\\\Slope $(m)=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.\\\end{minipage}}\)
Define the given points:
Let (x₁, y₁) = (6, -2)Let (x₂, y₂) = (5, -4)Substitute the points into the slope formula:
\(\implies \textsf{Slope}=\dfrac{-4-(-2)}{5-6}=\dfrac{-4+2}{5-6}=\dfrac{-2}{-1}=2\)
Therefore, the slope of the line that passes through the given points is 2.
How many cubic feet of warehouse space are needed for 350 boxes 11in. by 8in. by 12in?
Answer:
214 cubic feet (rounded to the nearest cubic foot)
Step-by-step explanation:
Step 1 Determine the volume of 1 box
Volume of a box or rectangular prism = dimensions multiplied by each other
Here, the given dimensions are 11 in by 8 in by 12 in
So the volume of one box would be 11 x 8 x 12 = 1056 cubic inches
Step 2 Determine volume of all 350 boxes
Volume of 1 box = 1056
So volume of all 350 boxes = 1056 x 350 = 369600 cubic in
Step 3 Convert cubic in to cubic ft
To convert to cubic feet we divide the amount of cubic inches by 1728 (this is because there are 1728 cubic inches in 1 cubic foot)
369600 / 1728 = 214 cubic feet (to the nearest cubic foot)
214 cubic feet of warehouse space is required for 350 boxes with the dimensions of 11in by 8in by 12in
Find the required monthly payment to accumulate $32,000 in 10 years at an APR of 7.9% compounded monthly for an annuity.
Step-by-step explanation:
To calculate the required monthly payment to accumulate $32,000 in 10 years at an APR of 7.9% compounded monthly for an annuity, we can use the formula for the present value of an annuity due:
PV = PMT × ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n)
where:
- PV is the present value of the annuity due ($32,000)
- PMT is the monthly payment we want to find
- r is the annual interest rate (7.9%)
- n is the number of times interest is compounded per year (12 for monthly compounding)
- t is the number of years (10)
PMT = PV / ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n) = **$292.07**
Therefore, the required monthly payment to accumulate $32,000 in 10 years at an APR of 7.9% compounded monthly for an annuity is **$292.07**.
Miguel plots points A, B, and C in the coordinate plane.
A. What is the distance between points A and B? Explain your reasoning.
B. Is (gif triangle) ABC an equilateral triangle? Explain your reasoning.
is △ABC equilateral? well, we dunno, however let's check for all sides' length.
\(~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\qquad B(\stackrel{x_2}{-6}~,~\stackrel{y_2}{-2}) ~\hfill AB=\sqrt{(~~ -6- (-3)~~)^2 + (~~ -2- 2~~)^2} \\\\\\ ~\hfill AB=\sqrt{( -3)^2 + ( -4)^2} \implies AB=\sqrt{ 25 }\implies \boxed{AB=5}\)
\(B(\stackrel{x_1}{-6}~,~\stackrel{y_1}{-2})\qquad C(\stackrel{x_2}{0}~,~\stackrel{y_2}{-2}) ~\hfill BC=\sqrt{(~~ 0- (-6)~~)^2 + (~~ -2- (-2)~~)^2} \\\\\\ ~\hfill BC=\sqrt{( 6)^2 + ( 0)^2} \implies BC=\sqrt{ 36 }\implies \boxed{BC=6} \\\\\\ C(\stackrel{x_1}{0}~,~\stackrel{y_1}{-2})\qquad A(\stackrel{x_2}{-3}~,~\stackrel{y_2}{2}) ~\hfill CA=\sqrt{(~~ -3- 0~~)^2 + (~~ 2- (-2)~~)^2} \\\\\\ ~\hfill CA=\sqrt{( -3)^2 + (4)^2} \implies CA=\sqrt{ 25 }\implies \boxed{CA=5}\)
well, not quite.
Help I am so confused. Thank you pic at bottom
1A) This sampling technique employed is known as a systematic random sample.
1B) The demographic examined in the study is the total production run of 15,600 LED monitors. The representativeness of the sample within such population is relied upon if every 120th monitor selected is an unbiased, irregular choice from the larger collective.
How to explain the samplingFor question 2, the sampling method utilized here is called a convenience sample. Kenya only enquires the middle school pupils in her 7th grade science course, which cannot be characterized as a representative or randomly chosen group of all middle school learners.
The sample may not accurately reflect the population because it merely involves students in her lesson, and not necessarily those enrolled at her school or district.
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how do you describe the graph of |x| < 12 brainly
Answer:
Describe the two functions f(x) and g(x) , using the terms increasing, decreasing, maxima and minima. The graph of f(x) is periodic.
Answer:
Step-by-step explanation:
What is 2/3 divided by 4 in the Simplest form?
Answer:
2/3 divided by 4 = .16
Step-by-step explanation:
This problem is pretty simple. Since we cannot divide this we can change the division sign into a multiplication, but to do this we need to also take the reciprocal of 2/3, which means we flip th number so it becomes 3/2. Now we can simply multiply. (1/4)*(3/2) which should give you 3/8
Find value of x
(4x-12) 120
Answer:
33
Step-by-step explanation:
120+12=132
132÷4=33
Sorry if this didnt help.
Answer:
x=33
Step-by-step explanation:
120 + 12 = 132 4x = 132
Divide each side by '4'
x = 33
Simplifying x = 33
hope this helps
simplify 4^9/4^3
can someone help me with this?
Answer:
4096
Step-by-step explanation:
Need to know how you got it? Comment on this answer.
Use shifts and scalings to graph the given function. The
p(x)= x² + 2x - 6
What is the original function?
y =
(Type an expression. Simplify your answer.)
Answer:
x^2+2x
Step-by-step explanation:
This function was shifted down 6 units.
It does not seem like this function was shifted horizontally since the x value is not being subtracted nor added inside the parentheses. Therefore, the original function would just be p(x) + 6, which would give us x^2+2x.
PLEASE HELP THANK YOU HURRY FAST
1) Polynomial of 4 terms.
2) The rational roots of the function are,
x = - 2, 1
3) The zeroes of the function are,
x = - 2, - 3, 2
4) The zeroes of the function are,
x = 1, - 1, 2i, - 2i
5) The correct function which shows the cubic equation is, option 1.
We have to given that;
1) Function is,
⇒ 3x⁵ + 5x⁴ - 7x³ + 15
Clearly, There are 4 terms in function.
Hence, Polynomial of 4 terms.
2) Function is,
⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0
The correct rational roots are satisfy the function,
Hence, We get;
Plug x = 1,
⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0
⇒ 1⁴ + 5(1)³ + 7 (1)² - 3(1) - 10 = 0
⇒ 0 = 0
Plug x = - 2;
⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0
⇒ 2⁴ + 5(2)³ + 7 (2)² - 3(2) - 10 = 0
⇒ 0 = 0
Thus, The zeroes of the function are,
x = - 2, 1
3) Function is,
⇒ y = (x + 3) (x + 2) (x - 2)
Hence, The zeroes of the function are,
x = - 3
x = - 2
x = 2
4) Function is,
⇒ 3x² - 4 = - x⁴
⇒ x⁴ + 3x² - 4 = 0
⇒ x⁴ + 4x² - x² - 4 = 0
⇒ x² (x² + 4) - 1 (x² + 4) = 0
⇒ (x² - 1) (x² + 4) = 0
⇒ x² - 1 = 0
⇒ x² = 1
⇒ x = ±1
⇒ x² + 4 = 0
⇒ x² = - 4
⇒ x = ±2i
Hence, The zeroes of the function are,
x = 1, - 1, 2i, - 2i
5) By given graph the correct function which shows the cubic equation is, Option 1.
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If 400 x 300 = 120,000
And 40 x 30 is 1,200
Fill in the blanks and show your work
*_____ x ______ = 12,000?
Answer:
this list
Step-by-step explanation:
1×12000=12000
2×6000=12000
3×4000=12000
4×3000=12000
5×2400=12000
6×2000=12000
8×1500=12000
10 ×1200=12000
12 ×1000=12000
Please important answer, as soon as possible I will thank you and mark as brainlist
Jill is 11 years younger than Pete. The sum of their ages is 29. What’s the age of Pete.
Answer:
The sum of their ages is 29, which we can express as the equation:
P + (P - 11) = 29
Simplifying the equation:
2P - 11 = 29
Adding 11 to both sides:
2P = 40
Dividing both sides by 2:
P = 20
Therefore, Pete's age, represented by "P," is 20 years old.
Can somebody please help this is honestly due tomorrow
Answer:
I am almost completely sure its 4.
Step-by-step explanation:
I dont mind brainiests by the way
anwser it pls aaaaaaaassaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Answer:
Step-by-step explanation:
Volume = Bh
Turn the shape so the trapezoid is on the bottom/base
h=18 for overall shape
B = area of base, trapezoid
B = 1/2 (b₁ + b₂) h
b₁ = 11
b₂ = 25
h = 24 for trapezoid
B = 1/2 (11 + 25)(24)
B = 432
V = Bh
V = (432)(18)
V= 7776 in³
Which of the following expressions had a constant of 6 and a coefficient of 2/3?
Answer:
The answer is d, 2/3y-6
Step-by-step explanation:
Find the value of x, 6,4, 3x, 4x+1
Answer:
If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.
6(3x) = 4(4x + 1)
18x = 16x + 4
2x = 4
x = 2
how do I solve this?
Answer:
pythagoren therom, law of sine, cosine, and tangent
Step-by-step explanation:
Simplify -9/6 divided by -3/2
Rhonda saw this graph in her town's newspaper, but it could be misleading. Which is the MOST ACCURATE conclusion she can draw from it?
A) House prices jumped by 200% from 1998 to 1999.
B) No house was sold at a price higher than $82,000.
C) House prices are growing faster now than in the past.
D) House prices grew a small percentage from 1998 to 1999.
Answer:
C) House prices are growing faster now than in the past.
Which of these best explains the next step to simplify this expression?
Answer:
Make the -4 exponent in the denominator positive.
An amount of R351 is made up with 114 coins (R2 coins and R5 coins only). How many R2 coins are there? How many R5 coin are there?
Answer:
41
Step-by-step explanation:
For this, you have to make two equations;
One that calculates the amount of coins
and one that calculates the amount of R
I'm going to set
R2 = x
R5 = y
To make this a bit easier to look at
So to do the number of coins, you want to do this:
x + y = 114
This is saying that the total amount of R2 coins plus the total amount of R5 coins will add up to 114
Then, you want to calculate the worth of them.
2(x) + 5(y) = 351
This is saying that for ever R2 coin there is, it will increase the total by 2, and every R5, it will increase the total by 5. When you add these together, it will come out to 351.
Then you have to solve the system of equations:
x + y = 114
2x + 5y = 351
-2 * (x + y = 114)
2x + 5y = 351
-2x + -2y = -228
2x + 5y = 351
3y = 123
y = 41
Since y is the amount of R5 coins, we know we have 41 R5 coins.
So the answer is
41
A 9th grade teacher at a local high school wants to know which subject the 9th grade students in the high school like best which group of people should make up a sample that will best answer her question a, other 9th grade teachers in her school
B, parents of 9th graders in her school
C, 9th graders in her school
D,9th graders in her homeroom
The group of people who should make up a sample that will best answer her question is the 9th graders in her school. The correct option is C.
What are subjects?Subjects are the different sets of information which is studied.
9th graders in her school will be perfect because the question is specifically asking about the opinions of 9th-grade students in the high school, so it makes sense to sample this group directly.
The other options may provide some insights, but they may not be as accurate or representative of the opinions of the 9th-grade students in the school.
Thus, the correct option is C, 9th graders in her school.
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3.5 ft
3
6 ft
21. Hot Tub The inside of a circular hot tub is lined
with 1-inch by 1-inch tiles.
a. Explain how to estimate the number of tiles
needed for the hot tub.
b. The hot tub is 3.5 feet deep and has a diameter
of 6 feet. What is the minimum number of tiles
needed? (The formula for the circumference of
a circle is C= md.)
Answer: ?
comfusing
Step-by-step explanation:
I am a number. If the area of each squer below is 4 squer unite. I am the perimeter ot the figure. What number I am
The puppy shelter where Isaac works is moving to a new building. The rooms in the new building are built to hold 6 puppies each. Isaac needs to figure out how many rooms he'll need to house a total of 78 puppies.
Use an equation to find the number of rooms Isaac needs.
The equation to find the number of rooms Isaac needs is r = 13.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
Now it is given that,
1 room holds = 6 puppies
So, 1 puppy acquire = 1/6 room
Let r be the rooms need to house a total of 78 puppies.
Therefore, 78 puppy acquire, r = 78*1/6 room
⇒ r = 78/6 room
⇒ r = 13 room
Thus, the equation to find the number of rooms Isaac needs to house a total of 78 puppies is r = 13.
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if the ratio of the volume of two cubes is 1 : 8 , then find the ratio of the total surface area of the two cubes
Answer:
V = L^3 where v is volume and L the length of one side
A = 6 * L^2 total area of cube with side L
A = 6 * V^2/3 area of cube expressed in V
A2 / A1 = (V2 / V1)^2/3 6 cancels
A2 / A1 = 8^2/3 = 4 ratio of areas
Any help please I appreciate it
Answer:
12
Step-by-step explanation:
18-6
Margin of error: 0.04; confidence level: 95%; from a prior study, p is estimated by the decimal equivalent of 60%
A) 577 B) 1441 C) 996 D) 519
The required sample size of the given value is 577.
What is margin of error?
In a random survey sample, a margin of error is a statistical measurement that takes into account the discrepancy between actual and anticipated findings. Simply said, you may determine the degree of unpredictability in data and research results using the margin of error.The formula to calculate the sample size :-
n = (p(1-p)((Zα/₂)/E)²
Given : Estimated proportion p = 0.60
Margin of error : E = 0.04
Significance level : α = 1-0.95 = 0.05
Critical value : Zα/₂ = 1.96
Now, the required sample size will be :-
n = (0.60)(0.11)(1.96/0.04)²
= 6.6 * (0.0784)²
= 0.57744
Hence, the required minimum sample size of the given is 577.
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