Answer: a
Step-by-step explanation:
Find the equation of the straight line passing through the point ( 0 , -1 ) which is perpendicular to the line y = -3/4x - 3
What is the domain and range of y=2x+5
82 63 44 25 sequence
Answer:
the next number is 6
Step-by-step explanation:
i'm assuming you want to find what comes next after 25 so pretty much each number decreases by 19
The 10th term of the arithmetic sequence will be –89.
What is the arithmetic sequence?Let a₁ be the first term and d is the common difference between the terms. Then the nth term will be given as
[tex]\rm a_n = a_1 + (n - 1)d[/tex]
The sequence is given below.
82, 63, 44, 25, ......
The first term is 82 and the common difference will be
d = 63 – 82
d = –19
Then the equation will be
[tex]\rm a_n =82- (n - 1) \times 19[/tex]
Then the 10th term of the sequence will be
a₁₀ = 82 – (10 – 1) x 19
a₁₀ = 82 – 171
a₁₀ = –89
The complete question is 82 63 44 25 sequence. What is the 10 term of the sequence?
More about the arithmetic sequence link is given below.
https://brainly.com/question/15412619
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Somebody please help me with this question
Answer:
c is the correct answer
Step-by-step explanation:
During one month, a homeowner used 600 units of electricity and 100 units of gas for a total cost of 390. The next month, 400 units of electricity and 250 units of gas were used for a total cost of $326. Find the cost per unit of gas.
Answer:
$0.36
Step-by-step explanation:
Let the cost per unit of electricity = e
Let the cost per unit of gas = g
a homeowner used 600 units of electricity and 100 units of gas for a total cost of 390;
600e + 100g = 390 ----- i
400 units of electricity and 250 units of gas were used for a total cost of $326.
400e + 250g = 326 ----- ii
Now we have two equations, and we solve for g;
600e + 100g = 390 ----- i
400e + 250g = 326 ----- ii
Multiply equation i by 4 and equation ii by 6;
2400e + 400g = 1560 ---- iii
2400e + 1500g = 1956 ---- iv
Subtract equation iii from iv;
1100g = 396
g = [tex]\frac{396}{1100}[/tex] = 0.36
Cost per unit of gas $0.36
The OLS method A. minimizes the sum of the residuals. B. maximizes the sum of the residuals. C. maximizes the sum of the squared residuals. D. minimizes the sum of the squared residuals.
Answer: D. minimizes the sum of the squared residuals
Step-by-step explanation: The ordinary least square method is often used in locating the trendine which best fits a graphical linear model. The best is one in which the sum of the squared residual is smallest. The residual refers to the difference between the actual and the predicted points. The sum of the squared differences is obtained and the trend line is positioned where the residual is minimum. Choosing a OLS, and minimizing the sum.of the squared residual, the error difference between the predicted and actual score is minimized or reduced, hence, improving the prediction accuracy of our model.
Determine if parallel, perpendicular, or neither showing how to find the slope
4x-7y=10
7x+4y=1
Answer:
They're perpendicular
Step-by-step explanation:
Cause they interfere the point (47/65, 66/65) in a 90 degree angle
Plz help me with this
hi!
so you're trying to find the value of n, I assume.
(n +2) / 5 = -3
n + 2 = -3 * 5
n + 2 = -15
n = -17
hope this helped!
The radius of a circle is 10 meters. What is the angle measure of an arc bounding a sector
with area 150 square meters?
What is an equation of the line that passes through the points (0, -2) and (-5, 4)?
Put your answer in fully reduced form.
Answer:
I have no idea
Step-by-step explanation:
Answer: y= -6/5x-2
Step-by-step explanation:
That’s wut it said
Given x and y are integers, explain why the product of the expression and it's conjunct will always be an integer
Answer:
If neither of the two real numbers is zero, then their product is also not zero Suppose also that x is a real number that satisfies the equation The " / " symbol does not always give you a result of an integer, so be careful.pkek, and any other expression for n as a product of prime numbers is identical to this except,.
Step-by-step explanation:
Use the ten blocks to draw a quick picture to solve the following division problem: 165/11.
Step-by-step explanation:
[tex]\begin{array}{c|c c|c} 11 & 165 & & 15 \\ \cline {2-3} & 11 & & \\ & & 55 & \\ \cline {2-3}& & 55 & \\ & & 0& \end {array}[/tex]
Elvira used 4 cups of grape juice, 15 cups of cranberry juice, and 2 1 / 2 cup of pineapple juice to make punch. One liter is
approximately equal to 4.23 cups.
Which measurement is closest to the number of liters of punch Elvira made?
Please answer it I will wait to see for brainliest
Answer:
D
Step-by-step explanation:
Answer:
ok so the odd one out is A) the measure of <ahd is 30°
Step-by-step explanation:
external angle is equal to the sum of the two interior angles on the opposite side
3x= x +15 +x +15
3x=x+x+15+15
3x= 2x +30
3x-2x= 30
x = 30
The Lambert family uses up a 1/2
gallon jug of milk every 3 days. At what rate do they drink milk?
Answer:
Step-by-step explanation:
Given
Lambert family uses up a 1/2
gallon jug of milk every 3 days.
rate drink milk per day
Solution =1/2÷3
= 1/6
So the answer is 1/6
Andre filled 4 jars using a total of 10 cups of blackberry jam how many did cups of jam is in each jar
Answer:
2.5 cups in each jar
Step-by-step explanation:
10/4 is 2.5
Evaluate the expression
Answer:
-15
Step-by-step explanation:
A baker makes 30 cupcakes. He makes 3 times as many cupcakes as his friend Sarah. How many cupcakes does Sarah make?
Answer:
sarah makes 10 cupcakes
Step-by-step explanation:
baker makes 30 cupcakes.
30/3=10
Which shows two expressions that are equivalent to (-8)(-12)(2)?
The solution is option C.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
(-8)(-12)(2)
=96*2
=192
so. we get,
It would be c because when you multiply 8 and 12 you get 96 and when you multiply 96x2 you get 192 .
so, therefore your answer is c.
To learn more on multiplication click:
brainly.com/question/5992872
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The length of a rectangular deck is 5 times its width. If the deck’s perimeter is 24 feet, what is the deck’s area?
Answer:
20ft²
Step-by-step explanation:
Let the length = L
Let the width = W
Perimeter of a rectangle = 2L + 2W
Translating the word problem into an algebraic equation, we have;
L = 5W .......equation 1
2L + 2W = 24 ........equation 2
To find the width
Substituting equation 1 into equation 2, we have;
2(5W) + 2W = 24
10W + 2W = 24
12W = 24
W = 24/12
Width, W = 2 ft
To find the length;
Substituting the value of "W" into equation 1, we have;
L = 5W
L = 5*2
L = 10 ft
To find the area of the rectangle;
Area = LW
Area = 10*2
Area = 20 ft²
Therefore, the deck's area is 20 feet square.
For Carly's birthday celebration her family took her out to eat at her favorite restaurant. The total bill was $135.
Her dad wants to leave an 18% tip.
How much money is the tip?
$
The sum of two numbers is 14 and their difference is 4. What are the two numbers (02 6 8 Larger number Smaller number
Answer:
The two numbers are 9 and 5
Step-by-step explanation:
If u try adding 9 and 5 u will get 14
And if u subtract them u will get 4
I hope the answer is helpful
The average age of all the JSOM students is 24 years with a standard deviation of 9 years. Of 8,000 students, a random sample of 36 students is selected. What is the probability that the sample mean will be between 25.5 and 27 years?
Answer:
The probability that the sample mean will be between 25.5 and 27 years is 0.1359.
Step-by-step explanation:
Let X denote of age of JSOM students.
The information provided is:
[tex]\mu=24\\\sigma=9\\n=36[/tex]
According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.
Then, the mean of the sample means is given by,
[tex]\mu_{\bar x}=\mu\\[/tex]
And the standard deviation of the sample means is given by,
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
As the sample size is large, i.e. n = 36 > 30, the sampling distribution of the average age of all the JSOM students can be approximated by the normal distribution.
Compute the probability that the sample mean will be between 25.5 and 27 years as follows:
[tex]P(25.5<\bar X<27)=P(\frac{25.5-24}{9/\sqrt{36}}<\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}<\frac{27-24}{9/\sqrt{36}})\\\\=P(1<Z<2)\\\\=P(Z<2)-P(Z<1)\\\\=0.97725-0.84134\\\\=0.13591\\\\\approx 0.1359[/tex]
Thus, the probability that the sample mean will be between 25.5 and 27 years is 0.1359.
The sum of the perimeters of an equilateral triangle and a square is 22. Find the dimensions of the triangle and the square that produce a minimum total area. dimension of triangle dimension of squar
Answer:
The dimension of the triangle is 4.144 m and the dimension of the square is 2.392 m
Step-by-step explanation:
let a side of the equilateral triangle = x
let a side of square = y
3x + 4y = 22
4y = 22 - 3x
[tex]y = \frac{11}{2} -\frac{3x}{4}[/tex]
subjective function, the total area is given by;
[tex]f(x,y) = \frac{x^2\sqrt{3} }{4} +y^2[/tex]
[tex]f(x) = \frac{x^2\sqrt{3} }{4} + (\frac{11}{2} -\frac{3x}{4})^2\\\\f(x) = \frac{x^2\sqrt{3} }{4} +\frac{121}{4} -\frac{33x}{4} +\frac{9x^2}{16} \\\\f(x)' = \frac{x\sqrt{3} }{2} -\frac{33}{4} +\frac{9x}{8} \\\\\frac{x\sqrt{3} }{2} -\frac{33}{4} +\frac{9x}{8}=0\\\\\frac{x\sqrt{3} }{2} + \frac{9x}{8} =\frac{33}{4}\\\\\frac{4x\sqrt{3} +9x}{8} = \frac{33}{4}\\\\4x\sqrt{3} +9x = 66\\\\x(4\sqrt{3} +9) = 66\\\\x(15.928) = 66\\\\x = \frac{66}{15.928}\\\\x = 4.144 \ m[/tex]
solve for y
[tex]y = \frac{11}{2} -\frac{3x}{4}\\\\y = \frac{11}{2} -\frac{3*4.144}{4}\\\\y = 5.5-3.108\\\\y = 2.392 \ m[/tex]
Therefore, the dimension of the triangle is 4.144 m and the dimension of the square is 2.392 m
What is the range of the given function?
Answer:
D
Step-by-step explanation:
Look at the y-values for both dots, the open circle is -7 and the closed circle is 5. The closed circle means y is going to be equal to, so the greater than sign is made to be equal.
Write an algebra expression to represent each scenario:
“the sum of 6 and y”
Answer:
6+y
Step-by-step explanation:
simple:)
Raul Del Valle's gross weekly salary is S615. His weekly federal withholding is S55. The Social Security tax is
6,2% of the first $97.500 he earns. The Medicare tax is 1.45% of gross pay. The state tax is 1.5% of gross pay.
Each week he pays $12.40 for medical insurance. How much is deducted from Raul's weekly wages for state tax
and Medicare tax?
Answer:
Step-by-step explanationjiuijkk8
u:
Error Analysis A contractor purchases 4 dozen pairs of padded work gloves for $54.24. She
incorrectly calculates the unit price as $13.56 per pair for the expense report. What is the correct
unit price? What is the error?
The correct unit price is $
per pair.
Answer:
the unit rate for each pair is $1.13
Step-by-step explanation:
Okay this is how you would do this problem correctly:
we know that 4 dozen pairs of gloves cost $54.24 however we want to know what the cost is for one pair so we have to make a equation by dividing total cost by the number of glove pairs.
$54.24/4 dozen
the reason we are putting 4 dozen instead of just dividing $54.24 by 4 is because we want to know the unit price for each pair of gloves so it would actually look like this:
$54.24/4(12)
Dozen = 12
so we multiply 12 by 4 to get 48 pairs of gloves, we then divide $54.24 by 48 to find our unit rate of pricing for each pair:
$54.24/48 = 1.13
so now we place a dollar sign in front of 1.13 to get your answer:
for every pair bought it costs $1.13
So how did the Analysis A contractor get the wrong answer? well when she had bought the 4 dozen gloves she divided $54.24 by 4, which in this case would make it seem as though the gloves came in a 12 pack of gloves. However she was buying the gloves individually so she would have to multiply 4 by 12 before dividing the total number of gloves from $54.24.
5) Find the distance between -9 and 12 on a number line.
Answer: Hope this helps!!!
Step-by-step explanation:Absolute Value: You need to find how far away both numbers are from zero, then add these values together to see how far apart these numbers. The absolute value of nine, |-9| is 9, and |12| is 12. This means that the nine is nine spots away from zero, and twelve is twelve spots from zero. This means that the numbers are 20 units from each other.
Distance -9 is from 12 You need to find how much of an increase from nine you need to reach the twelve. So -9 + ? = 12. What number can you add to equal twelve? You can add 20 to make the equation true. (? = 20) The distance from -9 to 12 is a positive 20.
Distance from 12 to -9 This is similar to the previous example. What number can you insert to make the 12 equal the negative nine? 12 - ? = -9. The number would be -20, which means that 12 is 20 spots away from the negative nine, as it took at negative twenty to get us to the negative nine.
Emilio wants to find 2/3 of 50. explain how emilio could estimate the answer
Answer:
Emilio could estimate the answer by thinkinng of 50 as 100. Then 2/3 of 100 is 66.66666666. Divide this by 2 to get 33.33333333
Step-by-step explanation:
Hopefully this helps! I kind of just thought of what ran through my head so I would say it's an estimate.