Answer:
249
Step-by-step explanation:
The explicit formula for an arithmetic sequence is
an = a1+d(n-1)
a1 is the first term so a1 = -39
d is the common difference so d = 8
n is the term number so n = 37
a37 = -39+8(37-1)
= -39+8(36)
= -39+288
=249
Which of the following is not true about the boundary line in the graph of a linear inequality in two variables?
Answer:
The correct answer is D
Step-by-step explanation:
Boundary points are NOT always solutions
The statement not true about the boundary line in the graph of a linear inequality in two variables is he point on boundary line are always solutions to the linear inequality
What does boundary line in graph of a linear inequality in two variable represent ?The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.
According to the question
Boundary line in graph of a linear inequality in two variable represents :The boundary line is dashed or strict for > and < The boundary line is solid or non strict for ≤ and ≥. boundary line divides the coordinate plane into two halves boundary line where one half represents the solutions of the inequalityHence, The statement not true about the boundary line in the graph of a linear inequality in two variables is he point on boundary line are always solutions to the linear inequality.
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A rectangle has a length of 18 11/12 ft and a width of 5 1/2 ft. What is the area?
Answer:
104.04 ft.²
Step-by-step explanation:
length times width
Answer:
104.042
Step-by-step explanation:
area of rectangle=length*width
Help ASAP giving brainliest
Answer:
24÷8=3
Step-by-step explanation:
because 24÷8=3
HELPPPPPPPPP MATH PLEASE
Answer: 14
Step-by-step explanation:
Answer:
12 units^2
Step-by-step explanation:
The triangle on the left has an area of 2, the square has an area of 4 and the triangle on the right has an area of 6.
Add these up to get 2+4+6 = 12
i need the answer no playing around please and if the answer is right i will give you a thanks and full stars pleaseeeee
Answer:
50+50x
Step-by-step explanation:
they're asking you to use distributive property
so what you have to do is multiply everything that is in the parenthesis by 10
5x10=50
5x10x=50x
so the answer is 50+50x
have a great day :D
========================================================
Explanation:
To get this answer, we multiply the outer term 10 by each term inside
5*10 = 505x*10 = 50xI'm using the distribution rule or distributive property. So that's why (5+5x)10 is the same as 50+50x
We could arrange the terms to get 50x+50 if you wanted.
--------------------------
Extra info (optional section):
Let's say that instead of 10, we had a smaller value like 2
(5+5x)2 would mean we have two copies of (5+5x) added together
So we'd have (5+5x)+(5+5x) = (5+5)+(5x+5x) = 10+10x
Then note how the distributive property says
(5+5x)*2 = 5*2+5x*2 = 10+10x
This is one example that helps us see how the distributive property is correct.
1. Observa el siguiente conjunto de enteros (-1,0, 1)
A. ¿Cuál de las propiedades de los números reales son verdaderas
para el conjunto?
Answer:
no hablo espanol papas fritas papas fritas papas fritas papas fritas papas fritas papas fritas papas fritas papas fritas
Step-by-step explanation:
please very soon I offer the crown !!! + 10 points urgently !!!
Answer:
swdfghjkl;'[
Step-by-step explanation:
asdfghjkl;'iy7u6j54hy3feqdwsrtfyuiop;lkjhgf
Answer:
nbmmmmmmmmmmmmmmmmmm
Step-by-step explanation:
Which graph represents a function?
Answer:
C
Step-by-step explanation:
In D, the x value repeats
Answer:
C
Step-by-step explanation:
C has a positive then negative slope, while D can't even be a function.
I hope this helps :)
My work is down below.download the pdf and look at it.Please answer it!
Question 16
4 Points
Using the formula 1 = PRT, find I when P = 3634, R = 6% and T = 7. Round your answer to the nearest penny. Enter only the value
without the $.
Round your answer to 2 decimal places.
Add your answer
A roof has a cross section that is a right triangle. The diagram shows the approximate dimensions of this cross section. Find the height h of the roof. Round your answer to the nearest tenth.
Answer:
5
Step-by-step explanation:
Area of right angle Triangle:
6.5 * 9 * 1/2 = 29.25
2nd way to find area:
1/2 * base * height
Since we have area and base:
1/2 * 11.1 * h = 29.25
= 5.27m
= 5m (nearest tenth)
The height h of the roof to the nearest tenth is 5.3 m
Right angle triangle:Right angle triangle has one of its angles as 90 degrees. The triangles are likewise similar and can be used to find the height h of the roof.
Therefore,
11.1 / 6.5 = 9 / hcross multiply
11.1 h = 9 × 6.5
11.1 h = 58.5
divide both sides by 11.1
11.1 h / 11.1 = 58.5 / 11.1
h = 5.27027027027
h = 5.3 m
learn more on right triangle here: https://brainly.com/question/4280778
I need help with this due today
Answer: P-22 A-30
P=28 A-28
P=12 A=9
P=18 A=18
Step-by-step explanation:
1. Side lengths are 5,6,5,6- perimeter is 22 Area is 5*6= 30
2. Side lengths are 10,4,4,2,6,2- perimeter is 28 Area can be found by finding the area of the whole region (4*10) and subtracting the missing piece (2*6) so 40-12=28
3. sides are all 3- perimeter is 3*4= 12 and area is 3*3=9
4. sides are 6,3,6,3- perimeter is 18 and area is 3*6=18
need help with these 2 questions
Answer:
There are no questions....
Are they on your prev one?
Please someone help me on this one !! I need to pass this class!
9514 1404 393
Answer:
x ≈ -0.5416
Step-by-step explanation:
As with any "solve for ..." problem, you essentially want to "undo" what has been done to the variable of interest. Here, if you were to evaluate the left-side expression (where the variable is) for some value of x, you would ...
multiply by 10add 7raise 9 to that powermultiply by 2add 5You want to "undo" these operations in reverse order. That is, you work from the bottom of this list toward the top, using inverse operations along the way.
The inverse of addition is subtraction; the inverse of multiplication is division. The inverse of raising to a power is taking a logarithm.
undo add 5
[tex]2\cdot9^{10x+7}+5-5=70-5\\2\cdot9^{10x+7}=65[/tex]
undo multiply by 2
[tex]\cfrac{2\cdot9^{10x+7}}{2}=\dfrac{65}{2}\\\\9^{10x+7}=32.5[/tex]
undo raise to a power (take logarithms)
[tex](10x+7)\log(9)=\log(32.5)\\\\10x+7=\dfrac{\log(32.5)}{\log(9)}\quad\text{equivalent to $\log_9(32.5)$}[/tex]
undo add 7
[tex]10x+7-7=\dfrac{\log(32.5)}{\log(9)}-7\\\\10x\approx -5.41562[/tex]
undo multiply by 10
[tex]\dfrac{10x}{10}\approx\dfrac{-5.41562}{10}\\\\x\approx-0.541562\\\\\boxed{x\approx-0.5416}\quad\text{rounded to 4 dp}[/tex]
Answer:
x=0.5416...................
Concerns about climate change and CO2 reduction have initiated the commercial production of blends of biodiesel (e.g., from renewable sources) and petrodiesel (from fossil fuel). Random samples of 32 blended fuels are tested in a lab to ascertain the bio/total carbon ratio. (a) If the true mean is .9370 with a standard deviation of 0.0090, within what interval will 99 percent of the sample means fall
Answer:
99% of the sample means will fall between 0.93288 and 0.94112.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The true mean is .9370 with a standard deviation of 0.0090
This means that [tex]\mu = 0.9370, \sigma = 0.0090[/tex]
Sample of 32:
This means that [tex]n = 32, s = \frac{0.009}{32} = 0.0016[/tex]
Within what interval will 99 percent of the sample means fall?
Between the 50 - (99/2) = 0.5th percentile and the 50 + (99/2) = 99.5th percentile.
0.5th percentile:
X when Z has a pvalue of 0.005. So X when Z = -2.575.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]-2.575 = \frac{X - 0.9370}{0.0016}[/tex]
[tex]X - 0.9370 = -2.575*0.0016[/tex]
[tex]X = 0.93288[/tex]
99.5th percentile:
X when Z has a pvalue of 0.995. So X when Z = 2.575.
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]2.575 = \frac{X - 0.9370}{0.0016}[/tex]
[tex]X - 0.9370 = 2.575*0.0016[/tex]
[tex]X = 0.94112[/tex]
99% of the sample means will fall between 0.93288 and 0.94112.
The price of an item has been reduced by
45%
. The original price was
$15
Answer:
8.25
Step-by-step explanation:
15*.45=6.75
15-6.75=8.25
Answer:
Step-by-step explanation:
15x45%= $6.75
18. State the slope and y-intercept of each linear equations.
a. 6(x + y) = 3(x - y)
b. 2(x + y) = 5(y + 1)
c. 5x + 10y - 20 = 0)
Answer:
a. m = -1, y-int = 0
b. m = 2/3, y-int = -5/3
c. m = -1/2, y-int = 2
Step-by-step explanation:
-Expand equations on both sides.
-Make 'y' the subject by collecting like terms and moving everything to the right, e.g. y = ...
-Slope is the number in front of x.
-Find y-intercept by letting x = 0 and solve the equation.
Two stores have competing back-to-school sale. Which store offers the better price per T-shirt? What is the price? Explain.
Find the distance between (0, 0) and (3, 4).
Answer:
L²=(3-0)²+(4-0)²
L²=9+16
L²=25
L=5units
1/4x + ½ = 2/4x + ¾
what are the steps
Answer:
x=-1
Step-by-step explanation:
1/4x+1/2=2/4x+3/4
1/4x+2/4=2/4x+3/4
2/4=(2/4x-1/4x)+3/4
2/4=1/4x+3/4
2/4-3/4=1/4x
-1/4=1/4x
-1=x
x=-1
Number 1 what is the area below
Number 2 what is the area of the shape
Answer:
Step-by-step explanation:
In both problems the area is made up of a rectangle and a triangle. The area of the rectangle is A=xy. The area of a triangle is A=bh/2
First problem
A=4(13)+5(13-6)/2
A=69.5ft^2
Second problem
A=5(3)+(6-3)(5-2)/2
A=19.5m^2
Use the original price and the markdown to find the retail price. Original price: $30; Markdown:24%
Answer:
$22.80
Step-by-step explanation:
What is the GCF of 22 and 32?
Answer:
The GFC of 22 and 32 is 2
Step-by-step explanation:
^2sin(x+45)=sinx + cosx
Answer:
steps below
Step-by-step explanation:
√2 * sin(x+45°)
= √2 * (sinx cos45° + cosxsin45°)
= √2 * (sinx * √2/2 + cosx * √2/2 )
= (√2 * √2/2) (sinx + cosx)
= sinx + cosx
Which graph shows a proportional relationship between X and y
Malik purchased a pair of roller blades that were originally priced at $250 for a sale price of
$180. He charged the roller blades on his credit card and made the minimum monthly
payment of $20. When he received his first statement, he read that the minimum finance
charge for each month that there was a balance on the card would be $15. How many
months will Malik need to pay off the roller blades? (Assume that a minimum finance
charge of $15 will apply to all balances of $250 or less.)
Answer:f he made a first payment of $20 shortly after the purchase, he would have a balance of $180-$20=$160, before they applied the first $15 finance charge, but he will see a balance of $180-$20+$15=$175 (with the finance charge) in that first statement.
Each month, his balance will change by -$20+$15=-$5, so it will take him, another 32 payments to reduce that $160 to $0. That month, he will pay the $20 balance to get a balance of zero, and hopefully see no more finance charges.
In all, paying the minimum $20 payment each month, Malik will make 33 such payments for a total of $660. If he saved $20 per month, he could have saved $180 in 9 months, or $260 in 13 months, and he would have saved a lot of money. He would probably have to pay the $250 regular price, and would have missed about a year of roller blading, but he would have saved $660-250=$410.
Step-by-step explanation:
427 diveided by 3 do you have any aneswerers
Answer:
142.333....
Step-by-step explanation: just use a calculator
Answer:
142.34
Step-by-step explanation:
427 ÷ 3 = 142.34
good luck, i hope this helps :)
Similar triangles and slope
Line r is parallel to line c
Which angle is congruent
Answer:
C. ∠5Step-by-step explanation:
Angle 3 makes alternate interior angle pair with angle 5
∠3 ≅ ∠5Answer:
C. ∠5
Step-by-step explanation:
Angle 3 makes alternate interior angle pair with angle 5
∠3 ≅ ∠5
A cylinder has a diameter of 14 cm and a volume of 112 Pi cubic centimeters what is the height in centimeters of the cylinder
Answer:
8
Step-by-step explanation:
A bike shop is having a sale 40% off all bikes. If you see a bike for $280, how much will you pay after receiving the 40% discount?