You are the marketing manager for Pointer Plumbing. You are
earning an annual salary of $41,600. You are single and claim
3 allowances. Using the percentage method, what amount is
withheld from your weekly pay for federal income tax?
Answer:
13866.66
Step-by-step explanation:
you divide
Brainliest please
Help.. Suppose Q is the midpoint of PR
Answer:
\(3x+41\) or 38
Step-by-step explanation:
If Q is the midpoint of Line PR, then lines PQ and QR add up to equal Line PR. We then get
\(PQ=6x+25\\QR=16-3x\\PQ+QR=PR\\6x+25+16-3x=PR\\3x+41=PR\\\)
If you want to know the exact number that PR is, we can do additional steps where PQ = QR.
\(PQ=6x+25\\QR=16-3x\\PQ=QR\\6x+25=16-3x\\9x+25=16\\9x=-9\\x=-1\\\\3x+41=PR\\3(-1)+41=PR\\-3+41=PR\\38=PR\\PR=38\)
Susan saw birds and mice eating seeds on the ground. She counted 14 heads. 40 legs in total. how many birds and mice are on the ground
Answer:
Birds = 8
Mice = 6
Step-by-step explanation:
Conditions
Let the birds = x
Let the mice = y
Equations
x + y = 14
2x + 4y = 40
Solution
Using the top equation solve for x
x = 14 - y
Use this result to substitue for x
2(14 - y) + 4y = 40
Remove the brackets
28 - 2y + 4y = 40
Combine
28 + 2y = 40
Subtract 28 from both sides
28 - 28 + 2y = 40 - 28
2y = 12
Divide by 2 on both sides
2y/2 = 12/2
y = 6
Solve for x
x + y = 14
x + 6 = 14
Subtract 6 from both sides
x + 6 - 6 = 14 - 6
x = 8
Answer:
7 mice and 7 birds
Step-by-step explanation:
14 heads would mean there are 14 animals in total, as each animal has one head.
Birds have two legs, and mice have four.
2+4=6
40/6=6.67 (recurring)
6.67*2=13.3 (recurring)
6.67*4=26.67 (recurring)
Animal legs can't be in decimal numbers, so we can round the numbers.
13.3 becomes 13, 26.67 becomes 27.
13+27=40
Now we can see that there are 13 bird legs and 27 mice legs.
Divide the bird legs by 2 to get 6.5
Divide the mice legs by 4 to get 6.75
Again, we can't have a decimal of an animal, so we can round.
6.5 becomes 7, and 6.75 also becomes 7.
Therefore, there is 7 of each type of animal.
If a line is drawn down the center of a composition, and each side corresponds to the other, what does this composition have
A composition that is symmetrical can help to create balance and harmony, making it pleasing to the eye. It is a useful concept in many areas of art, design, and architecture.
If a line is drawn down the center of a composition and each side corresponds to the other, then the composition has symmetry. Symmetry is a property that occurs when a shape or object is identical or nearly identical when divided by a line or plane. It is a fundamental concept in mathematics and art, particularly in geometry, algebra, and design.
A composition is said to be symmetrical if there is an axis of symmetry. An axis of symmetry is a line that divides a shape into two identical halves. When a composition has an axis of symmetry, it can be mirrored or reflected over that line to create a balanced and harmonious design.
Therefore, a composition that is symmetrical can help to create balance and harmony, making it pleasing to the eye. It is a useful concept in many areas of art, design, and architecture.
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Find the distance along an arc on the surface of the earth that subtends a central angle of 1 minute(s) (1 minute = 1/60 degree). The radius of the earth is 3960 miles. Round to the thousandths. (3 decimal places)
Length of distance of arc = 2πr × (∅/360)
∅ = 1/60 × 360 = 6⁰
Length = 2 × 22/7 × 3960(6/60)
Length = 44/7 × 3960 × 1/10
Length = 44/7 × 396
Length = 2489.142 cm
A city in Texas wants to know the relationship between house size and the number of residents living in the house. The city has sampled 15 houses. The table below presents the number of residents and the house size. Obtain a regression equation and predict the house size required for a family of 5 residents.
Number of Residents
House size (Sq. ft)
3 1992
3 1754
3 1766
5 2060
6 2293
6 2139
3 1836
4 1924
6 2321
4 2060
3 1769
4 1955
5 2309
4 1857
4 1972
Alright! Let's go step by step. We want to understand how the house size relates to the number of residents. In other words, as the number of residents changes, how does the size of the house change? This relationship can be represented by a linear regression equation. The general form of a linear regression equation is:
y = m*x + b
Here:
- y is the dependent variable (in our case, the house size).
- x is the independent variable (in our case, the number of residents).
- m is the slope of the line (how much y changes for a unit change in x).
- b is the y-intercept (the value of y when x is 0).
We'll use the data you provided to calculate 'm' and 'b'. There are different ways to calculate these values, but I'll use a method that is relatively simple to understand:
m = (N * Σ(xy) - Σx * Σy) / (N * Σ(x^2) - (Σx)^2)
b = (Σy - m * Σx) / N
Where:
- N is the number of data points (in our case, 15).
- Σ stands for summation (sum of all values).
Now, let's calculate 'm' and 'b' using the data you provided:
Number of Residents(x) | House size (Sq. ft)(y) | xy | x^2
------------------------|------------------------|----|-----
3 | 1992 |5976|9
3 | 1754 |5262|9
3 | 1766 |5298|9
5 | 2060 |10300|25
6 | 2293 |13758|36
6 | 2139 |12834|36
3 | 1836 |5508|9
4 | 1924 |7696|16
6 | 2321 |13926|36
4 | 2060 |8240|16
3 | 1769 |5307|9
4 | 1955 |7820|16
5 | 2309 |11545|25
4 | 1857 |7428|16
4 | 1972 |7888|16
Σx = 66
Σy = 30999
Σxy = 120978
Σ(x^2) = 282
Plug these values into our formulas:
m = (15 * 120978 - 66 * 30999) / (15 * 282 - 66^2)
≈ 305.91
b = (30999 - 305.91 * 66) / 15
≈ 905.27
So our linear regression equation is:
House size = 305.91 * (Number of Residents) + 905.27
Now, let's predict the house size for a family of 5 residents:
House size = 305.91 * 5 + 905.27
≈ 2444.82 Sq. ft
This means that, according to our linear regression model, a family of 5 residents would need a house size of approximately 2445 square feet.
5. Rewrite the given expression as a power without a negative exponent. Then, determine
the value of the expression.
The value of each exponential expression is given as follows:
a) 81.
b) 36.
How to deal with a negative exponent?The standard format of an exponential expression is given as follows:
\(a^b\)
In which:
a is the base.b is the exponent.When we have a negative exponent, the equivalent expression with a positive exponent is obtained inverting the base.
Hence, for item a, we have that:
\(\frac{1}{3^{-4}} = 1 \times 3^4 = 81\)
For item b, we have that:
\(\left(-\frac{1}{6}\right)^{-2} = (-6)^2 = 36\)
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21. The quotient of a number cubed and ten.
Step-by-step explanation:
The quotient of a number cubed and ten.
Solution,
Let the number be x, then
\( \frac{x ^{3} }{10} \)
what is the slope of the line through (0, 1) and (-1, -3)
Answer:
A. 4
General Formulas and Concepts:
Pre-Algebra
Evaluations
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinate Planes
Reading a coordinate planeCoordinates (x, y)Slope Formula: \(\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}\)
Step-by-step explanation:
Step 1: Define
Identify points.
Point (0, 1)
Point (-1, -3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m.
Substitute in points [Slope Formula]: \(\displaystyle m = \frac{-3 - 1}{-1 - 0}\)[Order of Operations] Evaluate: \(\displaystyle m = \frac{-4}{-1}\)Simplify: \(\displaystyle m = 4\)Answer:
The answer is A. 4
Step-by-step explanation:
Step 1: DefineIdentify points.
Point (0, 1)
Point (-1, -3)
Step 2: Find slope mSimply plug in the 2 coordinates into the slope formula to find slope m.
Substitute in points [Slope Formula]:\(\displaystyle m = \frac{-3 - 1}{-1 - 0}m=−1−0−3−1\)
[Order of Operations] Evaluate:\(\displaystyle m = \frac{-4}{-1}m=−1−4\)
Simplify: \(\displaystyle m = 4m=4\)A pair of sneakers was purchased. When they were purchased the price decreased by 20% for a sale price of $125.00. What was the original price?
Answer:
%625
Step-by-step explanation:
to find the original price with the sale price and a decease percentage divide the original price of 125 by the decrease percentage of 20% or .2
Find the value of the variables
Answer:
Step-by-step explanation:
\(\text{Since there are two 45 degree angles.}\\ \\ a=4\sqrt{2}\\ \\ \text{By the Pythagorean Theorem }c^2=a^2+b^2,\text{ and in this case a=b so }\\ \\ c^2=2(4\sqrt{2})^2\\ \\ c^2=2(16)2\\ \\ c^2=64\| \\ c=\sqrt{64}\\ \\ c=8\)
3. Weiming is 12 years old and his mother is y years older than him. How old is his mother? 12 y = His mother is ( 1) years old. Should we add or subtract to find Weiming's mother's age? Explain.
Answer:L take goku better because of the geometric size of these
Step-by-step explanation:
simplify the following 7+(-10)
Answer:
-3
Step-by-step explanation:
Seven plus negative ten is the same as seven minus 10. 7-10=-3
Answer:
-3
Step-by-step explanation:
all you have to do is switch the 10 and 7 and you get -10+7. then subtract the two and use the sign of the bigger number which is a negative sign
Hii can someone who is really good at math please help me with these 2 math questions. I'm struggling with them!!
A juice company introduces a new recipe which
contains less sugar. A bottle of juice made using the
new recipe is shown below.
If the bottle of juice now contains 8.19 g of sugar,
how many grams (g) of sugar did it contain before
the new recipe was introduced?
Answer: x = 18
Step-by-step explanation:
1) 100% - 54.5% = 45.5%.
2) 45.5/100 = 0.455.
3) 0.455 * X = 8.19g.
4) x = 8.19/0.455.
5) x = 18.
Determine the y intercept (8grade
Answer:
its 4
Step-by-step explanation:
.A length, originally 9cm, is increased so that the ratio of the new length to the old length is 13:3. What is the new length
Answer:
The new length is 39 cm
Step-by-step explanation:
We will use the ratio method to solve the question
∵ A length, originally 9cm, is increased
∴ The original length = 9 cm
∵ The ratio of the new length to the old length is 13 : 3
→ That means the ratio is ⇒ New : Original is 13 : 3
∴ The ratio New : Original = 13 : 3
→ By using the ratio method
→ New : Original
→ 13 : 3
→ x : 9
→ By using cross multiplication
∵ x × 3 = 13 × 9
∴ 3x = 117
→ Divide both sides by 3
∵ \(\frac{3x}{3}\) = \(\frac{117}{3}\)
∴ x = 39
∵ x represents the new length
∵ x = 39
∴ The new length is 39 cm
Find the length of the third side. If necessary, round to the nearest tenth.
15
20
Submit Answer
Answer:
attempt 1 out of 2
the perimeter of this isosceles triangle is 47 cm. what is the length of each of its legs? a. 15 cm b. 17.5 cm c. 19.5 cm d. 35 cm
17.5 cm is the length of each of its legs
Hurry pleaseeee taking a test Which expression is equivalent to 30°? Inverse of cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction) Inverse of sine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction) Sine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction) Cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction)
Answer:
Inverse of cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction)
Step-by-step explanation:
According to trigonometry identity;
Cos 30° = √3/2
To get the expression equivalent to 30°, we will take the inverse of both sides as shown;
Cos^-1(cos 30°) = cos^-1(√3/2)
The arccos will cancel out the cos on the left hand side of the equation to have;
30° = cos^-1(√3/2)
Hence 30° is equivalent to inverse of cosine of √3/2 or Inverse of cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction)
Answer:
the Answer is A
Step-by-step explanation:
Edge 2020
Pls help ASAP in a call with only my teacher
Answer:
a
Step-by-step explanation:
the answer is a. 6 faces 12 edges and 8 vertices
Answer:
I beleive it is the first option
Step-by-step explanation:
please help me-- financial math!!
The balance on Taylor's credit card is $2000. It has an interest rate of 12.5%. She wants to compare the difference between paying $75 and $100 of the monthly balance. How much does she save in interest and fees if she pays $100 instead of $75?
Answer:
Step-by-step explanation:
2000 * .125/12 = $20.83
at $100 remaining balance = $1920.81
at $75 remaining balance = $1945.81
Hi i need help with this problem, its due Monday
A rectangle has an area of 21x + 81 square units. If the width is 3 units, what is the length of the rectangle?
A. 18x + 78 units
B. 7x + 27 units
C. 7x + 81 units
D. 21x + 27 units
The answer is B. 7x + 27 units.
Area is length multiplied by width, so to find the length, simply divide the expression 21x + 81 by the width --> 3.
21x becomes 7x, and 81 becomes 27.
Amy must form a three-letter arrangement using only letters from the word dice. She cannot use a letter more than once in the arrangement. (Her arrangement doesn't need to be a valid word.)
There are four possible three-letter arrangements that Amy can form using the letters from the word "dice" without repeating any letters. To form a three-letter arrangement using only letters from the word "dice" without repeating any letters, we can use the formula for combinations.
The formula is given by nCr = n! / (r!(n-r)!), where n is the total number of items and r is the number of items to be chosen.
In this case, n = 4 (the total number of available letters) and r = 3 (the number of letters to be chosen for the arrangement).
5. Substituting these values into the formula, we get \(4C_{3}\) = 4! / (3!(4-3)!) = 4! / (3!1!) = (4 * 3 * 2) / (3 * 2 * 1) = 4.
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(Chapter 13) The curve r(t)= <0, t^2, 4t> is a parabola
We can see that the first component of the vector equation is always zero, so the parabola lies in the xz-plane.
Moreover, the second component is a quadratic function of t, which gives us a vertical parabola when plotted in the yz-plane. The third component is a linear function of t, so the curve extends infinitely in both directions. Therefore, we have a vertical parabola in the xz-plane.
This statement is referring to a specific vector-valued function, which we can write as:
f(t) = (0, t^2, ct)
where c is a constant.
The second component of this vector function is t^2, which is a quadratic function of t. When we plot this function in the yz-plane (i.e., we plot y = t^2 and z = 0), we get a vertical parabola that opens upward. This is because as t increases, the value of t^2 increases more and more quickly, causing the curve to curve upward.
The third component of the vector function is ct, which is a linear function of t. When we plot this function in the xz-plane (i.e., we plot x = 0 and z = ct), we get a straight line that extends infinitely in both directions. This is because as t increases or decreases, the value of ct increases or decreases proportionally, causing the line to extend infinitely in both directions.
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two airports are located at the points a and c, shown in the figure below. each of the airports locates an airplane at point b and measures the angles of elevation to the airplane. given the elevation angles in the figure and that the two airports at a and c are 743 meters apart, what is the distance, in meters, from the airport at point c to the airplane
To find the distance from the airport at point C to the airplane, we can use the concept of trigonometry. Let's label the angles of elevation from airports A and C to the airplane as angle A and angle C, respectively.
Since we know the distance between the two airports (743 meters) and the angles of elevation, we can use the tangent function to calculate the distances from each airport to the airplane.
Let's say the distance from airport A to the airplane is x meters. Using trigonometry, we have:
tan(angle A) = x / 743
Similarly, let's say the distance from airport C to the airplane is y meters:
tan(angle C) = y / 743
Now, we can rearrange the equations to solve for x and y:
x = 743 * tan(angle A)
y = 743 * tan(angle C)
So, the distance from the airport at point C to the airplane is y meters, which is equal to 743 multiplied by the tangent of angle C.
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help me plsssssssss
Answer: 13. 30
Step-by-step explanation:
13. Area = 18x * 10y = 180xy
Length = 6th
With ?
180xy = 6xy x width
180 x/6xy
Width = 30
14. 3^(9-5)= 3^4 = 81 the truck weighs 81 times as the driver
3^5
Which shows two triangles that are congruent by ASA?
Answer:
A and D
Step-by-step explanation:
The two triangles that are congruent by ASA is discussed below.
What is Congruency?Two figures are said to be "congruent" if they can be positioned perfectly over one another. Both of the bread slices are the same size and shape when stacked one on top of the other. "Congruent" refers to things that are precisely the same size and shape.
Angle-Side-Angle refers to the ASA Congruence rule.
According to this rule, two triangles are said to be congruent if any two of their respective angles and the side that is included between them are equal to the corresponding angles and the included side of the other triangle.
For example, there are ABC and DEF in which ∠ B = ∠ E, ∠ C = ∠ F, and BC = EF
Then, the triangle that Δ ABC ≅ Δ DEF by ASA congruence rule.
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how old am i? if my mother is 34 and she 21 years older then how old am i?∞
Answer:
ans below
Step-by-step explanation:
your gonna be 13
Answer:
13
Step-by-step explanation:
please mark this answer as brainlest
what is the value of x??
Answer:
\(\displaystyle 25 = x\)
Step-by-step explanation:
You are given the angle of the whole set, so set both expressions equivalent to the given angle measure:
\(\displaystyle 166° = 66° + [4x]° \hookrightarrow \frac{100}{4} = \frac{4x}{4} \\ \\ \boxed{25 = x}\)
I am joyous to assist you at any time.