If Arturo lives in colorado, which has a state income tax rate of 4.63% and he earns $1,345 biweekly, then the amount of state income tax withheld from each of his paychecks is equal to $62.27.
The state income tax withheld from each of his paychecks can be determined by the percentage formula;
P% × x = y
Here,
P% is the state income tax rate
x is the dollars earned biweekly
y = state income tax withheld from each of his paychecks
As the state income tax rate is equal to 4.63% and the amount earned biweekly is equal to $1345, therefore;
P% × x = y
4.63% × 1345 = y
4.63% can be converted into decimal form as follows,
4.63% = 4.63 / 100 = 0.0463
Therefore,
0.0463 × 1345 = y
y = 62.27
Hence, the state income tax withheld from each of his paychecks is calculated to be $62.27
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What is the equation of the line that passes through the point (3,-7) and has a slope of -2?
Answer:
y=-2x-1
Step-by-step explanation:
y=mx+b
-7=-2(3)+b
-7=-6+b
-1=b
y=-2x-1
Someone that knows algebra 1 please help me
Go ahead and ask the question!! <3
What is the rational expression in simplest form? State any restrictions on the variables.
c. 12-4 x / x²-9}
According to the question, the given rational expression can be simplified which is as shown below:
Rational expression = [tex]\frac{12-4x}{x^{2} -9}=\frac{4(3-x)}{(x-3)(x+3)}[/tex]
For the simplification of the given expression, calculate the factors of the numerator as well as denominator terms and divide them from each other. In this change the sign of the expression before dividing with each other.
Rational expression = [tex]\frac{-4}{(x+3)}[/tex]
The rational expression are also known as polynomial expression. The highest degree of these expression is two. And these expression uses concept of factor rule.
Therefore, the final expression is [tex]\frac{-4}{(x+3)}[/tex]
What is polynomial expression?
Polynomial expression are those equation whose highest degree is two. It is also called as quadratic equation. And it is simplified by performing the factors on the given expressions.
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Question 6 (5 points)
(01.04)
Solve the following for y: 2x + 2y = 8 (5 points)
O a
Ob
Oc
Od
y = -x + 4
y = x + 4
y = 3x
y = -3x
We get that, for the equation 2 x + 2 y = 8, when we solve for y, we get the result as y = 4 - x.
We are given an equation:
2 x + 2 y = 8
Divide both the sides by 2, we get that:
2 x / 2 + 2 y / 2 = 8 / 2
x + y = 4
Now, we will subtract x from both the sides, so, we get that:
x + y - x = 4 - x
y = 4 - x
Therefore, we get that, for the equation 2 x + 2 y = 8, when we solve for y, we get the result as y = 4 - x.
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Add. Write your answer in scientific notation.
(2.4×10^8) + (4.87×10^8)
Answer: = 7.27 × 108
(scientific notation)
with calculate significant figures = 7.3 × 108
(scientific notation)
Step-by-step explanation: hope this helps
Describe the difference between direct variation and inverse variation.
When two quantities, say X and Y, are related in such a way that an increase or decrease in the value of X results in an increase in the value of Y, direct variation occurs, whereas indirect or inverse variation occurs when an increase in the value of X results in a decrease in the value of Y and vice versa.
Difference between direct variation and inverse variation:To give the reader a hint, direct variation equations use the same phrase. The phrase is either "directly proportional" or "directly varies." The area of a square, for example, varies directly from the square of its side. Direct variation occurs when two quantities, say X and Y, are related in such a way that an increase or decrease in the value of X results in an increase in the value of Y.Inverse variation is a relationship between two variables in which the value of one increases while the value of the other decreases. Indirect or inverse variation occurs when two quantities, say X and Y, are related in such a way that an increase in the value of X results in a decrease in the value of Y and vice versa.
Therefore, direct variation occurs when two quantities, say X and Y, are related in such a way that an increase or decrease in the value of X results in an increase in the value of Y whereas indirect or inverse variation occurs when two quantities, say X and Y, are related in such a way that an increase in the value of X results in a decrease in the value of Y and vice versa.
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Expand each logarithm.
log x³ y⁵
The answer to this question is: og(x³y⁵) = 3log(x) + 5log(y)
In mathematics, the logarithm is that the function to exponentiation. which means the logarithm of a given number x is that the exponent to which another fixed number, the base b, must be raised, to supply that number x. within the simplest case, the logarithm counts the amount of occurrences of the identical consider repeated multiplication
To solve this question, we need only 2 identities, i.e.,
log(a*b) = log(a) + log(b) ...(1)
log(aⁿ) = nlog(a) ...(2)
Using 1, we can expand log x³ y⁵ as: log x³ y⁵ = log(x³) + log(y⁵) ...(3)
Using 2, we can expand both the terms as: log(x³) = 3log(x)log(y⁵) = 5log(y)
Putting them in equation 3, we get:3log(x) +5log(y)
Therefore, log(x³y⁵) = 3log(x) + 5log(y)
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In Δ ABC, a=8m, b=5 m , and c=10 m . Find m∠ A .
Answer:
arccos(51/100)
Step-by-step explanation:
By the Law of Cosines,
[tex]a^2 = b^2 + c^2 - 2bc \cos A \\ \\ a^2 - b^2 - c^2=-2bc \cos A \\ \\ \cos A=\frac{b^2 + c^2 - a^2}{2bc} \\ \\ m\angle A=\arccos \left(\frac{b^2 + c^2 - a^2}{2bc} \right) \\ \\ =\arccos \left(\frac{10^2 + 5^2 - 8^2}{2(5)(10)} \right) \\ \\ =\arccos(51/100)[/tex]
Please helpppppp now ASAP
Answer:
units 6.0 I think good luck brother
Lisa is four years younger than her sister. Which expression below stands for the sum of Lisa’s age and her sister’s age? (if you see this question pls answer) ty!
None of these
(x − 4) − x
x − (x − 4)
(x + 4) − x
Answer:
i say it would be "None of these"
Step-by-step explanation:
because say x=sisters age so, x=12 if lisa if 4 years youger, than x-4=8 (x-4)-x=(-2) x-(x-4)=4 (x+4)-x=4 so therefore it would be none.
Answer:
none of these
Step-by-step explanation:
because we don't know her sisters age we'll use "x" and Lisa is 4 years younger so you deduct 4 from x and the equation will be '4-x'
Solve by factoring. Check your answers. 4 x²=-8 x+5
The factoring of the expression 4 x²=-8 x+5 is (2x-1) (2x+5)
By ordering the values, we get:
4 x² + 8 x - 5
To solve this exercise, we have to follow the rules of factoring:
1. Factor 8 from 8x:
4 x² + 8 x - 5
4 x² + (-2 + 10) x - 5
2. Apply the distributive property:
4 x² - 2x + 10x - 5
3. Groups the first two terms and the last two terms:
(4 x² - 2x) + 10x - 5
4. Factorize the greatest common denominator (GCM) of each group:
2x(2x - 1) + 5(2x-1)
5. Factor the polynomial by factoring the greatest common denominator, (2x-1):
(2x-1) (2x+5)
What is factoring?Is a technique that consist of decomposition of a factor into a product of another factor, which when multiplied together give the original number.
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Zoe says that 2³.42 can be rewritten as 86. Juana says that it can be rewritten as 85. Danladi says that it cannot be rewritten as either of these expressions. Who is correct? Explain.
Danladi says that it cannot be rewritten as either of these expressions. He is correct.
How to calculate the value?It should be noted that 2³ × 42 will be:
= 2³ × 42
= 8 × 42
= 336
Therefore, Zoe says that 2³.42 can be rewritten as 86 and Juana says that it can be rewritten as.85. They're both wrong.
In the other hand, Danladi says that it cannot be rewritten as either of these expressions. Therefore, he is correct.
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0.05 multiply blank = 0.5
The number that should fill in the blank is 10. Therefore, the complete equation is 0.05 × x = 0.5.
Given that, 0.05 × ----- = 0.5.
How to multiply the decimals?To multiply decimals, first, multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.
Let the number should fill in the blank be x.
So, 0.05 × x = 0.5
⇒ x = 0.5/0.05
⇒ x = 10
The number that should fill in the blank is 10. Therefore, the complete equation is 0.05 × x = 0.5.
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how do you simplify this expression? can you explain it step step by step
Answer:
-4
Step-by-step explanation:
-12+3(-8+(-4)^2-6)+2
first the -4^2
-12+3(-8+16-6)+22
now everything in the parenthesis
-12+3x2+2
now the multiplying.
-12+6+2
now calculate this all together.
-4
Write the word sentence at an inequality. n plus 3.9 is less than or equal to 16. An inequality is What?
Answer:
n + 3.9 ≤ 16
An inequality is a mathematical expression represented by less than, greater than, or equal to symbols to compare values or to measure and solve complex equations.
Consider the diagram and proof below.
Given: WXYZ is a parallelogram, ZX ≅ WY
Prove: WXYZ is a rectangle
Parallelogram W X Y Z with diagonals is shown.
Statement
Reason
1. WXYZ is a ▱; ZX ≅ WY 1. given
2. ZY ≅ WX 2. opp. sides of ▱ are ≅
3. YX ≅ YX 3. reflexive
4. △ZYX ≅ △WXY 4. SSS ≅ thm.
5. ∠ZYX ≅ ∠WXY 5. CPCTC
6. m∠ZYX ≅ m∠WXY 6. def. of ≅
7. m∠ZYX + m∠WXY = 180° 7. ?
8. m∠ZYX + m∠ZYX = 180° 8. substitution
9. 2(m∠ZYX) = 180° 9. simplification
10. m∠ZYX = 90° 10. div. prop. of equality
11. WXYZ is a rectangle 11. rectangle ∠ thm.
What is the missing reason in Step 7?
triangle angle sum theorem
quadrilateral angle sum theorem
definition of complementary
consecutive ∠s in a ▱ are supplementary
The missing step 7 in the two column proof is; Consecutive ∠s in a ▱ are supplementary
How to carry out a two column proof?
We are told that WXYZ is a parallelogram in which we have to prove that: WXYZ is a rectangle. The two column proof is as follows;
Statement Reason
1. WXYZ is a parallelogram, 1. Given
ZX ≅WY
2. ZY ≅ WX 2. Opposite sides of parallelogram
are congruent.
3. YX≅YX 3. Reflexive property of congruence
4. ΔZYX ≅ Δ WXY 4. SSS congruence postulate
5. ∠ZYX ≅ ∠WXY 5. CPCTC
6. m∠ZYX ≅ m∠WXY 6. definition of congruence.
7.m∠ZYX + m∠WXY = 180° 7. Consecutive ∠s in a ▱ are
supplementary
8.m∠ZYX + m∠ZYX = 180° 8. By substitution
9. 2(m∠ZYX) = 180° 9. By simplification
10.m∠ZYX = 90° 10. Division property of equality
11. WXYZ is a rectangle 11. Rectangle angle theorem.
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HELP IMMEDIATELY PLEASE
use the couple of lines for #4
Answer:
#2 Alternate interior angles: 4 & 5 and 3 and 6
#4 :
m∠6 = 55°
m∠3 = 55°
m∠1 = 125°
Reasons: See below
Step-by-step explanation:
Angles 6 and 8 are supplementary angles since they are on the same straight line intersected by another straight line.
So m∠6 + m∠8 = 180
m∠6 + 125 = 180
m∠6 = 180-125= 55°
Angles 3 and 6 are alternate interior angles and equal to each other
m∠3 = m∠6 = 55°
Angles 1 and 3 are supplementary angles whose sum of measures should add up to 180°
m∠1 + m∠3 = 180
m∠1 + 55 = 180
m∠1 = 180-55 = 125°
Find the inverse of each function.
y=log₂2 x
The inverse of the function y = log₂(2x) is f ⁻¹(x) = 2ˣ⁻¹.
Given the function is :y = log₂ 2x
we are asked to find the inverse of the function.
steps to find inverse function are:
Change f(x) to y to get y = ax + b for the provided function f(x) = ax + b.
To get x = ay + b from the equation y = ax + b, replace x with y and y with x.
Here, find y and solve for x = ay + b.
Then we get y = (x - b/a).
Finally, we can substitute y = f-1(x) with f-1(x) = (x - b)/a.
now interchange the positions of x and y in the function.
x = log₂ 2y
the next step is to isolate the dependent variables.
f ⁻¹(x) = 2ˣ ⁻ 1
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what is the exprssion -2 (3x+5) +1+4x written in simplest form
question in image thank you!
Using proportions, it is found that:
1. a) 1/5 of the marbles are red.
b) 40% of the marbles are yellow.
c) 60% of the marbles are not yellow.
d) 11/20 of the marbles are green or yellow.
2) Event A, B and C are the most likely, each with equal probabilities.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
For the first problem, we have that there are 3 + 4 + 5 + 8 = 20 marbles, hence:
a) 4/20 = 1/5 of the marbles are red.
b) 8/20 x 100% = 0.4 x 100% = 40% of the marbles are yellow.
c) 12/20 x 100% = 0.6 x 100% = 60% of the marbles are not yellow.
d) 3 are green and 8 are yellow, hence 11/20 of the marbles are green or yellow.
A die has 6 possible outcomes, numbered 1 to 6, hence the probabilities(number of desired outcomes divided by number of total outcomes) are given as follows:
Event A: 3/6 = 1/2.Event B: 3/6 = 1/2.Event C: 3/6 = 1/2.Event D: 2/6 = 1/3.Event A, B and C are the most likely, each with equal probabilities.
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One half + four fifths vertical
Answer:
1 1/2+4/5 and the vertical would be graphed?
James is looking at rectangular pools. He wants to calculate the volume of water in each pool.
Which pool will hold more water: a pool with dimensions 6 feet deep by 11 feet by 11 feet, or a pool with dimensions 2 yards deep by 3 yards by 5 yards?
Responses
The pool with dimensions 6 feet by 11 feet by 11 feet will hold more water.
The pool with dimensions 6 feet by 11 feet by 11 feet will hold more water.
It cannot be determined from the given information.
It cannot be determined from the given information.
Both pools hold the same amount of water.
Both pools hold the same amount of water.
The pool with dimensions 2 yards by 3 yards by 5 yards will hold more water.
The pool with dimensions 2 yards by 3 yards by 5 yards will hold more water.
Answer:
2 yards by 3 yards by 5 yards
Step-by-step explanation:
6 times 11 times 11 = 726
3(2*3*5) = 6*9*15 = 810
*Please mark brainliest answer
Josh is looking for the best deal on a refrigerator that has a wholesale price of $549. Help him compare the price of the refrigerator at two different stores by completing the following.
a) Josh goes to the super store that marks up the refrigerator’s wholesale price 50%. Ignoring tax, how much would he pay for the refrigerator at this store?
b) Josh then looks at the refrigerator in a department store that marks up the refrigerator’s wholesale price 60%. But because of customer loyalty program, he would receive a 10% discount off the in-store price. Ignoring the tax, how much would he pay for the refrigerator at this store?
pls help i hope this makes sense!!
Answer:
B store is cheaper since 790.56<823
B price<A price
Step-by-step explanation:
A:
549(0.5)=274
264+549=823
Josh need to pay the refrigerator for $823 in this store without tax.
B:
549(0.6)= 329.4
329.4+549=878.4
878.4(09)=790.56
Josh need to pay $790.56 in this store without the tax.
C:
B, department store is cheaper so he could pay less
Could someone help me find how to extract the root from this equation?2y ^ 2 - 8 = 6 - 2y ^ 2
Answer:
y = ± √ 7/2
Step-by-step explanation:
2*y^2-8-(6-2*y^2)=0
(2 • (y2)) - 8) - (6 - 2y2) = 0
(2y2 - 8) - (6 - 2y2) = 0
Pull out like factors :
4y2 - 14 = 2 • (2y2 - 7)
4.2 Factoring: 2y2 - 7
difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
2 • (2y2 - 7) = 0
5.1 Solve : 2 = 0
5.2 Solve : 2y2-7 = 0
Add 7 to both sides of the equation :
2y2 = 7
Divide both sides of the equation by 2:
y2 = 7/2 = 3.500
When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:
y = ± √ 7/2
help plsssssssssss tyyy
Answer:
Associative property of addition!
Step-by-step explanation:
You have to add the numbers a lot!!
Commutative property is the answer Bec of addition says that the change in order of numbers in addition will not change the result.
Therefore, for variable x and y the commutative property of addition is x+y=y+x.
Round 12,345.6789 to the nearest ten thousand
Answer:
10000
Step-by-step explanation:
Victor walked 6.4 kilometers on Sunday, and he will also walk to school a few times this
week. Each round trip is 1.9 kilometers long. If Victor walks to school 3 days this week, what
will be his total walking distance for the week?
Write and solve an equation to find the answer.
kilometers
The total walking distance of the week is 12.1 km.
What are equations?An equation, in its most basic form, is a mathematical statement that shows that two mathematical expressions are equivalent. For example, 3x + 5 = 14 is an equation wherein the expressions 3x + 5 and 14 are separated by a 'equal' sign.So, let the total walking distance be 'x'.
Then,
6.4 + 1.9 + 1.9 + 1.9 = x6.4 + 5.7 = x12.1 = xSo, x = 12.1 km.Therefore, the total distance of walking in the week is 12.1 km.
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(-9 6) and (0 1) in slope intercept form
Solve each equation. Check for extraneous solutions. 2(x-1)³/₄=16
Answer:
[tex]x = 17[/tex].
Step-by-step explanation:
Simplify the given equation:
[tex]2\, (x - 1)^{3/4} = 16[/tex].
[tex](x - 1)^{3/4} = 8[/tex].
[tex]((x - 1)^{1/4})^{3} = 8[/tex].
Take the cubic root of both sides to eliminate the numerator of the exponent. Only roots of even degree could introduce alternative solutions. Since the degree of this root is an odd number, this step would not create extraneous solutions.
[tex]\sqrt[3]{((x - 1)^{1/4})^{3}} = \sqrt[3]{8}[/tex].
[tex](x - 1)^{1/4} = 2[/tex].
Raise both sides to the fourth power to eliminate the denominator of the exponent:
[tex](x - 1) = 2^{4}[/tex].
[tex]x - 1 = 16[/tex].
[tex]x = 17[/tex].
Substitute the solution [tex]x = 17[/tex] into the equation:
[tex]\begin{aligned}& 2\, (17 - 1)^{3/4} \\ =\; & 2\times (16^{1/4})^{3} \\ =\; & 2 \times 2^{3} \\ =\; & 16\end{aligned}[/tex].
Thus, [tex]x = 17[/tex] isn't an extraneous solution since setting [tex]x[/tex] to [tex]17[/tex] satisfies the original equation.
3m^2+2p^2-15 what the answer kinda got stuck
Answer:
212.
Step-by-step explanation:
Given: 3m^2 + 2p^2 - 15
When m = 3 and p = 10
Substituting the values
= 3(3)^2 + 2(10)^2 - 15
By further calculation
= 3(9) + 2(100) - 15
So we get
= 27 + 200 - 15
= 212
Therefore, the value of the expression is 212.