h: The domain
-5 ≤ x ≤ 5
Ellen's gross pay was $2586.00 and 28% of her check was deducted for taxes. What is her net pay?
According to the solving the Net salary =$2131.92
What is Gross Pay?Before taxes, benefits, and other payroll deductions are taken out of an employee's paycheck, they receive their gross salary.
According to the given data:Acc to given data
Gross pay = $2586.00
Now to find out net salary first find out 28% taxes deducted from her check of 2586.00.
So, 28%of $2586.00 is….
⇒ 28x2586/100=724.08
So the amount deducted is $724.08
Now to find out the net salary use the formula
Net salary= gross salary- taxes
So net salary = $2586.00-$724.08
Net salary =$2131.92
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This table shows the number of students at a school in the years 2014-2016, 2014 1,030 students 2015 ? students 2016 1,300 students.In 2015, there were more students than in 2014 but fewer than in 2016. Which could be the number in 2015?
Answer:
it could be the number in 2015 is 2,330
Step-by-step explanation:
Just add the number of the students in 2014-2016.
1,030+ 1,300=2,330
suppose that a population parameter is .7 and many samples were taken. if the size of each sample is 30 what is the standard error
The standard error is 0.0912.
The standard error (SE) is a measure of the precision of the sample mean estimate compared to the true population mean. To calculate the SE, we use the formula SE = standard deviation / square root of sample size.
In this scenario, the population parameter is 0.7, and the sample size is 30. If we assume that the sample mean is an unbiased estimator of the population mean, then the SE can be calculated using the above formula. However, we do not know the standard deviation of the population, so we use the sample standard deviation as an estimate.
Assuming the sample is large enough to assume normality, the formula becomes SE = \(\sqrt{(0.7*0.3)/30}\) = 0.0912. Therefore, the standard error for a sample size of 30 is 0.0912. This means that if we were to take multiple samples of size 30 from the same population, the standard deviation of the means of those samples would be around 0.0912 away from the population parameter of 0.7 on average.
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Donna finished 67% of her homework. What fraction of her homework is
completed?
67/10
0.67/100
67/100
67/1000
Answer:
67/100
Step-by-step explanation:
Percent means out of 100.
67% = 67/100
Answer:
67/100
Step-by-step explanation:
When we say Donna has completed 67% of her homework, we are referring to a percentage, which is a way of expressing a part out of 100. In this case, the percentage is 67%.To convert a percentage to a fraction, we can simply write the percentage as a fraction with 100 as the denominator. In this case, since the percentage is 67%, the fraction would be 67/100.\(67\%=\dfrac{67}{100}\)2) If a spider can move 6/5 miles every hour, then how many hours would it take for a
spider to go 12 miles?
Answer:
12 x 6/5 = 14.4 hours
Answer:
14.4
Step-by-step explanation:
If you do 6/5x12 you would get 14.4 because 6/5x12/1
72/5=14.4
Find the PERCENT of Change.
The original cost was $50 and the new cost is $200.
Answer:
300%
Step-by-step explanation:
To find percent change we need to use this formula:
\(change = \frac{Amount of change}{Original} * 100\)
To find the amount of change we need to minus 50 from 200:
200 - 50 = 150
Now that we have the amount of change we can plug it in to the equation with the original amount (50):
\(change = \frac{150}{50} = 3 * 100 = 300\)
Therefore, the percent of change is 300%.
I hope this helps!!
- Kay :)
A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 65% salt and Solution B is 90% salt. She wants to obtain 150 ounces of a mixture that is 80% salt. How many ounces of each solution should she use?
The amount of solution A and B required are 60 and 90 ounces respectively.
Creating simultaneous equations for the problem:
Mass of solution A = a
Mass of solution B = b
a + b = 150 _____(1)
0.65a + 0.90b = 150×0.80
0.65a + 0.90b = 120 __(2)
From (1)
a = 150-b ____(3)
substitute (3) into (2)
0.65(150-b) + 0.90b = 120
97.5 - 0.65b + 0.90b = 120
0.25b = 120-97.5
0.25b = 22.5
b = 22.5/0.25
b = 90
a = 150 - b
a = 150 - 90
a = 60
Therefore , 60 ounces of solution A and 90 ounces of solution B is required.
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6. Determine the system of equations based on the following relationships and then solve
for the two integers.
a. Fourteen more than twice the first integer gives the second integer
b. The second integer increased by one is the square of the first integer
Answer: (-3,8) and (5,24)
The two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).
To solve the system of equations, let's assign variables to the two integers. Let the first integer be represented by 'x' and the second integer by 'y'.
According to the given information:
a. Fourteen more than twice the first integer gives the second integer:
This can be expressed as: 2x + 14 = y
b. The second integer increased by one is the square of the first integer:
This can be expressed as: y + 1 = x^2
Now, we have a system of equations:
1) 2x + 14 = y
2) y + 1 = x^2
To solve this system, we can substitute the value of 'y' from equation 1) into equation 2):
2x + 14 + 1 = x^2
2x + 15 = x^2
Rearranging the equation, we have:
\(x^2 - 2x - 15 = 0\)
Factoring the quadratic equation, we get:
(x - 5)(x + 3) = 0
Setting each factor equal to zero:
x - 5 = 0 --> x = 5
x + 3 = 0 --> x = -3
Substituting the values of 'x' back into equation 1), we can find the corresponding values of 'y':
For x = 5:
2(5) + 14 = y
10 + 14 = y
y = 24
For x = -3:
2(-3) + 14 = y
-6 + 14 = y
y = 8
Therefore, the two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).
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Multiply.
(2x + 4)(2x-4)
A. 4x2 + 16
B. 4x2 - 16
C. 4x2 + 16x-16
D. 4x2 - 16x-16
Answer:
B 4x^2-16
Step-by-step explanation:
The answer is 4x^2-16
Answer:
4x^2-16
hope it's helpful ❤❤❤❤
THANK YOU.
You have several numbers in a data set: 5, 7, 9, 11, 13, 15, 17. What is the z Score for the number 15? (the SD is 4.32)
The value of the z-score for the number 15 in a data set is 0.93.
Define z-score.
A data point's z-score, also known as a standard score, indicates how far it deviates from the mean. In practical terms, however, it's a measurement of how many standard deviations a raw number is from or above the population mean.
You can plot a z-score on a normal distribution graph. Z-scores can be anywhere between -3 and +3 standard deviations.
∴ z = (x – μ) / σ
Given:
σ = 4.32
x = 15
Data set: 5, 7, 9, 11, 13, 15, 17
So, mean = 5 + 7 + 9 + 11 + 13 + 15 + 17/7
= 77/7
μ = 11
z = (x – μ) / σ
= (15 - 11)/4.32
= 4/4.32
z = 0.93
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Sample Responses Label axes according to input
and output variables. Plot the ordered pair of the
independent and dependent variable on the
coordinate plane. Identify if there is a relationship
Which of the following did you include in your
response?
O Label the x-axis the input variable, age.
O Label the y-axis the output variable, texting speed.
O Plot the points according to age and texting speed.
O Identify a relationship between the change in
texting speed as age increases.
The following elements were included in the response: labeling x-axis as age, labeling y-axis as texting speed, plotting points according to age and texting speed, and identifying a relationship between texting speed and age.
In the response, the following elements were included:
1. Labeling the x-axis as the input variable, age: This is important to indicate the independent variable being plotted.
2. Labeling the y-axis as the output variable, texting speed: This is crucial to indicate the dependent variable being represented.
3 Plotting the points according to age and texting speed: This involves placing the ordered pairs (age, texting speed) on the coordinate plane, with age values on the x-axis and texting speed values on the y-axis.
4. Identifying a relationship between the change in texting speed as age increases: By analyzing the plotted points and examining the pattern or trend, one can determine if there is a relationship between age and texting speed. For example, if the texting speed generally increases as age increases or if there is a linear or nonlinear relationship between the two variables.
Including all of these elements allows for a comprehensive analysis of the relationship between age and texting speed, providing a visual representation and enabling the identification of any patterns or trends.
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c = 18n + 13
i don’t understand it
thats not possible do you have options or another equation...?? because there is 2 unknown variable
Write and solve an equation to find Marys. Mary is 6 years older than Ellen. Jim is 5 years older than Mary. If their total combined age is 41. How old is Ellen?
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What is the rental cost? Step by step.
The rental cost in dollars per square foot is $11,00
What is the rental cost in dollars per square foot?Cost of renting 1.250 square feet = $13, 750 per month
Rental cost per square foot = Total renting cost / total renting area
= $13, 750 per month / 1.250 square feet
= $11,000
Hence, $11,000 is the rental cost in dollars per square foot.
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The front lawn of NPHS has a roped off area of 2x^2 - 11x + 15. What are the
possible dimensions of the roped off area?
Answer:
\(x-3\) by \(2x-5\) units
Step-by-step explanation:
Use the slide-and-divide method to factor the polynomial:
\(2x^2-11x+15\)
\(x^2-11x+30\)
\((x-6)(x-5)\)
\((x-3)(2x-5)\)
Therefore, the dimensions are \(x-3\) by \(2x-5\) units
Which sentence correctly compares the rates Bill and Kevin drove on their trips? (A) Bill drove at a rate that was 10 miles per hour slower than the rate Kevin drove. (B) Bill drove at a rate that was 10 miles per hour faster than the rate Kevin drove. (C) Bill drove at a rate that was 20 miles per hour slower than the rate Kevin drove. (D) Bill drove at a rate that was 20 miles per hour faster than the rate Kevin drove.
Answer:
Not sure
Step-by-step explanation:
Nolan rides his bike 63 miles in 270 minutes. What is his average speed in miles per hour?
Answer:
I think the answer is 14 miles
Step-by-step explanation:
63/270=x/60
270x=3780
x=14
WILL MARK BRAINLEST PLS HELP
1.What is the equation of a circle with center (-2, 2) and radius 3?
Answer:
(x + 2)² + (y - 2)² = 3²
Step-by-step explanation:
Equation of a circle is (x - a)² + (y - b)² = r²,
where a is the x-coordinate of the centre of the circle, b is the y-coordinate of the centre of the circle, r is the circle's radius.
So, we have (x - -2)² + (y - 2)² = 3²
subtract a minus means we add.
(x + 2)² + (y - 2)² = 3²
4 point
These four numbers are plotted on a number line: 5,-4, 2. and -1 Which is
the correct ordering on the number line, from left to right?
-1,-4, 2,5
-4,-1,2,5
- 1,4,5,2
-4,-1,5,2
Answer:
-4 ; -1 ; 2 ; 5
Step-by-step explanation:
-4 is smaller because when counting from zero to the left it is descending but ascending numerically. 0 to -1 to -2 to -3 etc
After that you write the next numbers in ascending order
Find length of curve the r = sin^2(θ/2),0<=θ<=μ, a>0.
The length of a curve C is given by the integral,
\(\displaystyle\int_C\mathrm ds\)
where the line element ds is
\(\mathrm ds=\sqrt{\left(\dfrac{\mathrm dx}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dy}{\mathrm dt}\right)^2}\,\mathrm dt\)
where \(x=x(t)\) and \(y=y(t)\) are parameterizations of C.
In this case, we have
\(x(\theta)=r(\theta)\cos\theta\)
\(y(\theta)=r(\theta)\sin\theta\)
Differentiate with respect to \(\theta\) to get
\(\dfrac{\mathrm dx}{\mathrm d\theta}=\dfrac{\mathrm dr}{\mathrm d\theta}\cos\theta-r(\theta)\sin\theta\)
\(\dfrac{\mathrm dy}{\mathrm d\theta}=\dfrac{\mathrm dr}{\mathrm d\theta}\sin\theta+r(\theta)\cos\theta\)
\(\dfrac{\mathrm dr}{\mathrm d\theta}=\sin\left(\dfrac\theta2\right)\cos\left(\dfrac\theta2\right)=\dfrac12\sin\theta\)
So the arc length is
\(\displaystyle\int_C\mathrm ds=\int_0^a\sqrt{\left(\dfrac12\sin\theta\cos\theta-\sin^2\left(\dfrac\theta2\right)\sin\theta\right)^2+\left(\dfrac12\sin\theta\sin\theta+\sin^2\left(\dfrac\theta2\right)\cos\theta\right)^2}\,\mathrm d\theta\)
\(=\displaystyle\int_0^a\sqrt{\sin^2\left(\dfrac\theta2\right)}\,\mathrm d\theta\)
\(=\displaystyle\int_0^a\sqrt{\frac{1-\cos\theta}2}\,\mathrm d\theta\)
Write and solve an equation to find the value of x.
The value of x for each item is given as follows:
28. x = 5.
29. x = 3.44.
How to obtain the value of x in each item?For item 28, we apply the crossing chord theorem, which states that the products of the parts of the chords are equal, hence the value of x is obtained as follows:
16x = 10 x 8
16x = 80
x = 5.
For item 29, we apply the two secant theorem, hence the value of x is obtained as follows:
10(x + 10) = 12(12 + 25)
10x + 100 = 444
10x = 344
x = 3.44.
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What is the image point of (2,0)(2,0) after the transformation D_{\frac{1}{2}}\circ R_{270^{\circ}}D
2
1
∘R
270
∘
The image of point (2,0) after the transformation involving the dilation and the rotation is given as follows:
(0, -1).
What are the transformations applied to the point?The first transformation applied to the point is a dilation, which multiplies the coordinates of the point by the scale factor.
The point has these following coordinates:
(2,0).
The scale factor of the dilation is:
k = 1/2 = 0.5.
Then each coordinate of the point is multiplied by 0.5, hence:
2 x 0.5 = 1.0 x 0.5 = 0.Hence the coordinates are:
(1,0).
The rule for a rotation of 270º clockwise around the origin is:
(x,y) -> (y,-x).
Then:
x = 1, -x = -1.y = 0.Thus the coordinates of the image are given as follows:
(0, -1).
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Use the horizontal number line to find the distance between -5 and 0.
1
-5 -4 -3 -2 -1 0
1
2 3 4
5
The distance between -5 and O is
<
The absolute value of -5 is
Answer:
I think +5 or 5
Answer:
there both 5
Step-by-step explanation: did the question on edg
Q7.32.8 + # = 100 What is # ?
What percent of 40 is 32? Answer it correct I will give you brainlest
Answer ASAP
Answer:
125
Step-by-step explanation:
Answer:
80%
Step-by-step explanation:
40p/100=32
40p=3200
p=80
You buy a circular rug with a diameter of 8 feet. How much floor space will the rug cover
Answer:
25.12
Step-by-step explanation:
8*3.14=25.12
Answer: 59.24 feet
Step-by-step explanation:
Translate the sentence into an inequality.
The sum of 5 and c is greater than – 22.
what da hell the answer ?
Answer:
5 + c > -22
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
InequalitiesStep-by-step explanation:
Step 1: Define
Sum of 5 and c is greater than -22
↓ Identify
Sum = addition
5 + cIs greater than = inequality
>Add them all together:
5 + c > -22
Find the area of the hexagon
Area of Hexagon having six sides = \(\frac{3\sqrt{3}s^{2} }{2}\)
How to find the area of Hexagon ?Hexagons are polygons with six sides and six angles.
Six equilateral triangles make up a regular hexagon, which has six equal sides and six angles. Whether you're dealing with an irregular hexagon or a standard hexagon, there are numerous approaches to figure out the area of a hexagon.
The area of hexagon formula can be calculated in a number of different ways. The various techniques primarily depend on the hexagon's spitting motion.
It can be split into two triangles and one rectangle, or six equilateral triangles. We shall examine numerous approaches to calculating the hexagon's surface area in this post.
According to the given information
Area of Hexagon having six sides = \(\frac{3\sqrt{3}s^{2} }{2}\)
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A company created a new container in the shape of a
triangular prism that will hold sunflower seeds. A three-
dimensional image of the container is shown below, as
well as a two-dimensional image of the base.
6 in.
3.2 in.
2 in.
3.2 in.
1 in.
square inches
1 in.
The container will be made from cardboard. How many
square inches of cardboard are needed to make one
container? Assume there are no overlapping areas.
The number of square inches of cardboard that are needed to make one
the container is 18.
We have,
The volume of the triangular prism.
= Area of the triangle x height
Now,
Height = 6 in
And,
To find the area of a triangle, we can use Heron's formula.
A = √(s(s-a)(s-b)(s-c))
where s is the semi-perimeter of the triangle, calculated as:
s = (a + b + c) / 2
In this case, the side lengths of the triangle are 3.2 in, 3.2 in, and 2 in.
Let's calculate the area using Heron's formula:
s = (3.2 + 3.2 + 2) / 2 = 4.2
A = √(4.2(4.2 - 3.2)(4.2 - 3.2)(4.2 - 2))
A = √(4.2 x 1 x 1 x 2.2)
A = √(9.24)
A ≈ 3.04 square inches
Now,
The volume of the triangular prism.
= Area of the triangle x height
= 3.04 x 6
= 18.24 in²
Now,
Area of one cardboard.
= 1² in²
= 1 in²
Now,
The number of square inches of cardboard that are needed to make one
container.
= The volume of the triangular prism / Area of one cardboard
= 18.24 in² / 1 in²
= 18.24
= 18
Therefore,
The number of square inches of cardboard that are needed to make one
the container is 18.
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