Solution
Taking in count the info given the correct expression for this case is:
\(12^2=(x+2)\cdot x\)write a linear equation in slope intercept form for a line that passes through the point 6,-2 and has a slope of -2/3
y=0.625x+1.75 is the equation for your problem.
Will Give Brainliest Please Help!
Answer:
The answer to this question is vertical angles
Step-by-step explanation:
angle 5 and 8
Those are vertical angles formed by two crossing lines and they are equal
Use the information to answer the question.
Miranda is making a vegetable salad. She adds 2 cups of cucumbers, 4 cups of carrots, and some cherry tomatoes. Then, Miranda puts all of the
salad into 5 bowls. She puts cups into each bowl.
How many cups of cherry tomatoes did Miranda put in the vegetable salad? Enter the answer in the box.
cups
Answer:
Step-by-step explanation:
The equation is poorly written and I cannot unfortunately solve it.
Find the values of x and y in the figure below
16
y=
60°
x= - Choose the correct answer --
- Choose the correct answer --
The values of x and y in the figure are x = 79 and y = 101
Finding the values of x and y in the figurefrom the question, we have the following parameters that can be used in our computation:
The parallelogram
Using the properties of parallelogram, we have
y = 101 --- opposite angles
next, we have
x + 101 = 180 --- sum of adjacent angles
So, we have
x = 79
Hence, the values of x and y in the figure are x = 79 and y = 101
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If you want to save your total contribution for all 4 years before you start attending college, how much do you need to save each month if you have 4 years to accomplish your goal?
The solution is:
If my parents are going to pay the 5%, then, they will pay: $2979.
I will need to save $62.06 each month to accomplish my goal.
Here,
I'm going to a 4-year college that will cost $14895/year.
It means that I will need to pay: 14895*4 = $59.580
If my parents are going to pay the 5%, then, they will pay: $2979.
Now, if I want to save my total contribution for all four years, and I have four years to accomplish the goal, then:
Then, if I have 4 years to pay it. It means I have 4*12 = 48 months.
Then I will need to save $2979./48 = $62.06 each month to accomplish my goal.
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complete question:
You are going to a 4-year college in 4 years that will cost $14,895.00/yr. Your parents expect you to pay 5% of the total cost.
How much do you need to pay for each year of attending?
If you want to save your total contribution for all four years before you start attending college, how much do you need to save each month if you have four years to accomplish your goal?
Angle a =
126
What is the measure of angle b? Explain how you calculated your answer.
Angle a=
126° Write an equation(s) in terms of b to find the measure of angle h.
Calculate the measure of angle h, using the equation(s) you wrote for Part B.
How would knowing the measure of angle y change the equation(s) you wrote in Part B to find the measure of angle h?
B I VIX
©2021 Illuminate Education, Inc.
Answer:
L 2r. x. em -ca tpd apt answer
Find the balance in the account after the given period. $4000 principle earning 3% compounded annually 6 years
Answer: it would be 3000 that’s what it is
Step-by-step explanation:
you should fill in the method getmostimprovedstudent, as well as the method getexamrange. the most improved student is the one with the largest exam score range.
The get Exam Range method must be used to an array of students in order to provide the student with the highest exam range. I must also construct a get Most Improved Student.
As part of my assignment, I'm supposed to write a method called get Exam Range that takes the lowest and highest scores from an array containing the exam results of various students, subtracts the minimum exam score from the maximum exam score, and then looks at the array again. The get Exam Range method must be used to an array of students in order to provide the student with the highest exam range. I must also construct a get Most Improved Student. When the code is run, I'm having difficulties receiving the right results.
You must complete the methods get Most Improved Student and get Exam Range using the Student and Classroom example from previously. The student with the widest variety of exam scores is the one who has progressed the most.
You must deduct the minimum and maximum exam scores in order to get the exam score range.
For instance, the range would be 90 - 75 = 15 if the exam scores were 90, 75, and 84.
Therefore,
The get Exam Range method must be used to an array of students in order to provide the student with the highest exam range. I must also construct a get Most Improved Student.
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A figure was dilated so that the new area is 16 times bigger than the original area. Find
one possible set of perimeters for the two figures.
Please Explain!!
One possible set of perimeters for the two figures is 4x and 16x.
What is Dilation?Dilation is one of the type of transformation where the size of the object is made smaller or larger without affecting the shape.
Let A be the area of the original figure.
New area after dilation = 16A
Suppose that the figure is a square.
Area of a square is the square of it's side length and perimeter is four times the length of one side.
Let 'x' be the length of a side of the original figure.
Area of the original figure, A = x²
Perimeter of original figure = 4x
New area = 16 A = 16 x² = (4x)²
So the side length of new figure = 4x
Perimeter of new figure = 4 (4x) = 16x
Hence one of the possible set of perimeters for the two figures given is 4x and 16x.
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While starting salaries have fallen for college graduates in many of the top hiring fields, there is some good news for business undergraduates with concentrations in accounting and finance (Bloomberg Businessweek, July 1, 2010). According to the National Association of Colleges and Employers’ Summer 2010 Salary Survey, accounting graduates commanded the second highest salary at $50,402, followed by finance graduates at $49,703. Let the standard deviation for accounting and finance graduates be $6,000 and $10,000, respectively.
a. What is the probability that 100 randomly selected accounting graduates will average more than $52,000 in salary?
b. What is the probability that 100 randomly selected finance graduates will average more than $52,000 in salary?
c. Comment on the above probabilities.
Answer:
Step-by-step explanation:
According to the central limit theorem, if independent random samples of size n are repeatedly taken from any population and n is large, the distribution of the sample means will approach a normal distribution. The size of n should be greater than or equal to 30. Given n = 100 for both scenarios, we would apply the formula,
z = (x - µ)/(σ/√n)
a) x is a random variable representing the salaries of accounting graduates. We want to determine P( x > 52000)
From the information given
µ = 50402
σ = 6000
z = (52000 - 50402)/(6000/√100) = 2.66
Looking at the normal distribution table, the probability corresponding to the z score is 0.9961
b) x is a random variable representing the salaries of finance graduates. We want to determine P(x > 52000)
From the information given
µ = 49703
σ = 10000
z = (52000 - 49703)/(10000/√100) = 2.3
Looking at the normal distribution table, the probability corresponding to the z score is 0.9893
c) The probabilities of either jobs paying that amount is high and very close.
A baby’s t-shirt requires 2/9 yards of fabric. How many t-shirts can be made from 38 yards?
Answer:
8 and 4/9 i think... i am sorry if i am wrong
Step-by-step explanation:
What is the ratio of the length of blue there are 2ft 3 ftAnd the length of the green rectangle there are 4 ft 6 ft
Length:
Blue rectangle = 3 ft
Green rectangle = 6 ft
The ratio of the length of the blue and green rectangles is only the division of them:
ratio(blue to green length) = 3 ft / 6 ft = 1/2
Width:
Blue rectangle = 2 ft
Green rectangle = 4 ft
The ratio is:
ratio(blue to green width) = 2 ft / 4 ft = 1/2
Now, for the perimeter, we know that this is equal to the sum of all the sides of the rectangle.
Perimeter:
Blue rectangle = 2 ft + 2 ft + 3 ft + 3 ft = 10 ft
Green rectangle = 4 ft + 4 ft + 6 ft + 6 ft = 20 ft
The ratio is:
ratio(blue to green perimeter) = 10 ft / 20 ft = 1/2
Finally, for the area:
Area:
Blue rectangle = 2 ft * 3 ft = 6 ft²
Green rectangle = 4 ft * 6 ft = 24 ft²
The ratio is:
ratio(blue to green area) = 6 ft² / 24 ft² = 1/4
On one shipping pallet of water there are 30 boxes. In each box are 10 cases. In each case are 24 bottles. In each bottle are 20 fluid ounces of water. How many ounces are in 2 shipping pallets?
Answer:
288 000
Step-by-step explanation:
Just multiply 30(boxes) x 10(boxes) x 24(bottles) x 20 (ounces) and you get how many ounces are in 1 pallet and since need 2 pallets, you multiply again by two and you 288 000
Point R is at (3, 1.3) and Point T is at (3, 2.4) on a coordinate grid. The distance between the two points is ____. (Input numbers and decimal point only, such as 8.2.) (Please walk me through how you got your answer!)
Answer:
\( RT = 1.1 \)
Step-by-step explanation:
Distance between R(3, 1.3) and T(3, 2.4):
\( RT = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)
\( RT = \sqrt{(3 - 3)^2 + (2.4 - 1.3)^2} \)
\( RT = \sqrt{(0)^2 + (1.1)^2} \)
\( RT = \sqrt{0 + 1.21} = \sqrt{1.21} \)
\( RT = 1.1 \)
find the erea of the trapezoid.
Answer:
36
Step-by-step explanation:
A (base) 6
B (Base) 12
H (height) 4
Simplify -9/6 divided by -3/2
15x ( 7 - 5y ) + 3 ( 5y - x ) - ( 4x + 3 ) ( 5y - 2 )
Answer:
\(110x-95xy+6\)
Explanation:
\(15x ( 7 - 5y ) + 3 ( 5y - x ) - ( 4x + 3 ) ( 5y - 2 )\)
expand:
\(105x-75xy+15y-3x-\left(4x+3\right)\left(5y-2\right)\)
simplify:
\(105x-75xy+15y-3x-(20xy-8x+15y-6)\)
open the brackets:
\(-20xy+8x-15y+6+102x-75xy+15y\)
\(110x-75xy-20xy+15y-15y+6\)
final answer:
\(110x-95xy+6\)
e
value of x:
3/2 (x – 4) = 2(3x + 1)
Answer:
Step-by-step explanation:
A right triangle is removed from a rectangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in your answer.
The area of the shaded region is equal to 45 square units.
How to calculate the area of a rectangle?In Mathematics and Geometry, the area of a rectangle can be calculated by using the following mathematical equation:
A = LW
Where:
A represent the area of a rectangle.W represent the width of a rectangle.L represent the length of a rectangle.By substituting the given side lengths into the formula for the area of a rectangle, we have the following;
Area of rectangle = 8 × 6
Area of rectangle = 48 square units.
Since the opposite sides of any rectangle are congruent (equal), the legs of the right triangle can be calculated as follows;
L₁ = 8 - 5 = 3 units.
L₂ = 6 - 4 = 2 units.
Area of right triangle = 1/2 × 3 × 2
Area of right triangle = 3 square units.
For the area of the shaded region, we have:
Area of the shaded region = 48 square units - 3 square units.
Area of the shaded region = 45 square units.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
-4x +6 greater than 18
Answer:
x > -3
Step-by-step explanation:
-4x+6>18 (take 6 to the other side)
-4x>18-6
-4x>12 divide both sides by -4
x> -3
Answer:
x > -3
Step-by-step explanation:
-4x+6>18 (take 6 to the other side)
-4x>18-6
-4x>12 divide both sides by -4
x> -3
Functionally important traits in animals tend to vary little from one individual to the next within populations, possibly because individuals who deviate too much from the mean have lower fitness. If this is the case, does variance in a trait rise after it becomes less functionally important? Billet et al. (2012) investigated this question with the semicircular canals (SC) of the three-toed sloth (Bradypus variegatus). The authors proposed that since sloths don't move their heads much, the functional importance of SC is reduced, and may vary more than it does in more active animals. They obtained the following measurements of the ratio of the length to width of the anterior SC in 6 sloths. Assume this represents a random sample. In other, more active animals, the standard deviation of this ratio is 0.09.
Answer:
The 95% confidence interval for the standard deviation is (0.14, 0.54).
Step-by-step explanation:
The complete data and question is:
Sloth CW Ratios ; {1.5 , 1.09 , 0.98 , 1.42 , 1.49 , 1.25}
The 95% confidence interval for the standard deviation of this data is < σ < (two decimals - include the leading zero) .
Solution:
Compute the sample standard deviation as follows:
\(\bar x=\frac{1}{n}\sum x=\frac{1}{6}\times 7.73=1.2883\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{6-1}\times 0.2387}=0.2185\)
The (1 - α)% confidence interval for the variance is:
\(CI=\frac{(n-1)s^{2}}{\chi^{2}_{\alpha/2}}<\sigma^{2}<\frac{(n-1)s^{2}}{\chi^{2}_{1-\alpha/2}}\)
Confidence level = 95%
⇒ α = 0.05
The degrees of freedom is,
df = n - 1 = 6 - 1 = 5
Compute the critical values of Chi-square:
\(\chi^{2}_{\alpha/2, (n-1)}=\chi^{2}_{0.025,5}=12.833\\\\\chi^{2}_{1-\alpha/2, (n-1)}=\chi^{2}_{0.975,5}=0.831\)
*Use a Chi-square table.
Compute the 95% confidence interval for the variance as follows:
\(CI=\frac{(n-1)s^{2}}{\chi^{2}_{\alpha/2}}<\sigma^{2}<\frac{(n-1)s^{2}}{\chi^{2}_{1-\alpha/2}}\)
\(=\frac{5\times (0.2185)^{2}}{12.833}<\sigma^{2}<\frac{5\times (0.2185)^{2}}{0.831}\\\\=0.0186<\sigma^{2}<0.2873\\\\=\sqrt{0.0186}<\sigma<\sqrt{0.2873}\\\\=0.1364<\sigma<0.5360\\\\\approx 0.14<\sigma<0.54\)
Thus, the 95% confidence interval for the standard deviation is (0.14, 0.54).
*Today's Assignment*
Design a salary slip for the month of March 2023 with information given below.
Fixed vs variable ratio- 70:30
Ctc - 18L
Basic- 50%
Hra- 20%
Da - 12%
Insurance - 2500
Incentive- 75% target completion
Pf 12%
Earned leaves - 2
LOP - 4
Calculate net pay
A salary slip for the month of March 2023 with information given below.
Salary Slip - March 2023
Employee Details:
Name: [Employee Name]
Employee ID: [Employee ID]
Designation: [Employee Designation]
Earnings:
Basic Salary: [Basic Salary]
House Rent Allowance (HRA): [HRA]
Dearness Allowance (DA): [DA]
Incentive: [Incentive]
Total Earnings: [Total Earnings]
Deductions:
Provident Fund (PF): [PF]
Insurance: [Insurance]
Loss of Pay (LOP): [LOP]
Total Deductions: [Total Deductions]
Net Pay: [Net Pay]
Breakdown:
Basic Salary: 50% of CTC (18L) = [Basic Salary]
HRA: 20% of Basic Salary = [HRA]
DA: 12% of Basic Salary = [DA]
Incentive: 75% of target completion = [Incentive]
Total Earnings = Basic Salary + HRA + DA + Incentive = [Total Earnings]
PF: 12% of Basic Salary = [PF]
Insurance: Rs. 2500 = [Insurance]
LOP: [LOP]
Total Deductions = PF + Insurance + LOP = [Total Deductions]
Net Pay = Total Earnings - Total Deductions = [Net Pay]
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simplify: 16-10÷5+13
(a) 31
(b) 1/3
(c)139/9
(d)27
Step-by-step explanation:
16 - 10 × 1/5 + 13
16 - 5 + 13
11 + 13
24
Step-by-step explanation:
10/5=2
16-2+13=27.
d. 27
divide 405 in the ratio 4:11
Step-by-step explanation:
Answer is in the photo
Hope it helllps
Good luck
The division of the number 405 in the ratio 4:11 is 297 and 108 respectively.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
Given that the ratio is 4:11. the number is 405 which has to be divided by the ratio.
Let the common ratio between the numbers is x. Form an equation and solve for x.
4x + 11x = 405
15x = 405
x = 405 / 15
x = 27
The numbers are,
4x = ( 4 x 27 ) = 108
11x = ( 11 x 27 ) = 297
Therefore, the division of the number 405 in the ratio 4:11 is 297 and 108 respectively.
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Evaluate the expression: 5 + 3 × (5 - 2x2)
32
72
36
16
Answer:
5+3*(5-2*2)
5+3*(5-4)
5+3*1
5+3
=8
Step-by-step explanation: i think
What is the constant of proportionality in the equation y=5/4x
The constant of proportionality in the equation is 5/4
What is constant of proportionality?The constant connecting two given numbers in what is known in a proportional relationship is the constant of proportionality.
The constant of proportionality may also be referred to as the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.
In the problem, y = 5/4x
The constant term 5/4 as used in the equation is used t multiply the input x values to get the out put y values
The term helps in relating x to y
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A right rectangular prism has a length of 15 cm width of 10 cm and a height of 5 cm savanna claims that doubling the length width and height of the prism will double its surface area is Savannah, correct?
No, Savannah is incorrect. Doubling the length, width, and height of a right rectangular prism will not double its surface area.
What is surface area?Surface area is the total area of an object's exposed faces, including any external surface area. It is a measure of the size of a surface and is usually expressed in square units such as square meters or square centimeters. Surface area is a two-dimensional measurement, since it only takes into account the area of a surface, and not its thickness or volume.
The surface area of a right rectangular prism is calculated by multiplying the length by the width and then multiplying that number by two and adding the two products together.
For example, the surface area of a right rectangular prism with a length of 15 cm, a width of 10 cm, and a height of 5 cm is calculated as follows:
Surface area = (15 cm * 10 cm) + (15 cm * 5 cm) = 150 cm2 + 75 cm2 = 225 cm2
Doubling the length, width, and height of this right rectangular prism would give us a prism with a length of 30 cm, a width of 20 cm, and a height of 10 cm. The surface area of this new prism would be calculated as follows:
Surface area = (30 cm * 20 cm) + (30 cm * 10 cm) = 600 cm2 + 300 cm2 = 900 cm2
As you can see, doubling the length, width, and height of the right rectangular prism does not double its surface area - the surface area has increased by four times (900 cm2/225 cm2 = 4).
In conclusion, doubling the length, width, and height of a right rectangular prism does not double its surface area; rather, it increases the surface area by a factor of four.
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No, Savannah is incorrect. Doubling the length, width, and height of a right rectangular prism will not double its surface area.
What is surface area?Surface area is the total area of an object's exposed faces, including any external surface area. It is a measure of the size of a surface and is usually expressed in square units such as square meters or square centimeters. Surface area is a two-dimensional measurement, since it only takes into account the area of a surface, and not its thickness or volume.
The surface area of a right rectangular prism is calculated by multiplying the length by the width and then multiplying that number by two and adding the two products together.
For example, the surface area of a right rectangular prism with a length of 15 cm, a width of 10 cm, and a height of 5 cm is calculated as follows:
Surface area = (15 cm * 10 cm) + (15 cm * 5 cm) = 150 cm2 + 75 cm2 = 225 cm2
Doubling the length, width, and height of this right rectangular prism would give us a prism with a length of 30 cm, a width of 20 cm, and a height of 10 cm. The surface area of this new prism would be calculated as follows:
Surface area = (30 cm * 20 cm) + (30 cm * 10 cm) = 600 cm2 + 300 cm2 = 900 cm2
As you can see, doubling the length, width, and height of the right rectangular prism does not double its surface area - the surface area has increased by four times (900 cm2/225 cm2 = 4).
In conclusion, doubling the length, width, and height of a right rectangular prism does not double its surface area; rather, it increases the surface area by a factor of four.
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How will the product change if one number is increased by a factor of 12 and the other is decreased by a factor of 4
If one number is increased by a factor of 12 and the other is decreased by a factor of 4, the product of the two numbers will be multiplied by a factor of 3.
Let's suppose we have two numbers, A and B, and we want to know how their product will change if one number is increased by a factor of 12 and the other is decreased by a factor of 4.
The initial product of the two numbers is:
A x B
If we increase A by a factor of 12, the new value of A will be 12A. If we decrease B by a factor of 4, the new value of B will be B/4. Therefore, the new product of the two numbers will be:
(12A) x (B/4) = (12/4) x A x B = 3AB
So the new product of the two numbers will be three times the initial product. In other words, if one number is increased by a factor of 12 and the other is decreased by a factor of 4, the product of the two numbers will increase by a factor of 3.
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Your teacher needs to purchase some scientific calculators for $25 each and some graphing calculators for $65 each. Let x equal the number of scientific calculators and y equal the number of graphing calculators she buys She can only spend up to $800 for the calculators. Write an inequality that represents the number of each type of calculator she can buy.
The inequality that represents the number of each type of calculator she can buy will be 25x + 65y ≤ 800
Given that teacher needs to purchase some scientific calculators for $25 each and some graphing calculators for $65 each.
Consider that x equal the number of scientific calculators and y equal the number of graphing calculators she buys She can only spend up to $800 for the calculators.
The inequality that represents the situation becomes as;
25x + 65y ≤ 800
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Please helppppp
Which equation generates this table of values?