The sum of 5 and a number is then multiplied by two. The answer is -2 What is the number
Aiden has a gross income of $63,000 and takes the standard deduction. Their total taxes due are $6,847.50.
a) What is their taxable income?
b) What is their marginal tax rate?
c) What is their effective tax rate? Round to the nearest hundredth of a percent.
Answer:
a)56,152.5
b)40.2%
c)10.87%
Step-by-step explanation:
a) $63,000-$6,847.5=$56,152.5
b) marginal tax rate of a $63,000 income is 40.2%
c) 6,847.5 is 10.869047619% of 63,000 but it has to be to nearest hundreth so it is 10.87% because the thousandths place is a 9 so you round up to 10.87%.
2. On a day in December the temperature is 5°C at noon. A cold front is coming in and the
temperature is dropping by 2°C every hour. What time will it be when the temperature is
-14°C℃?
Answer:
9:30 p.m.
Step-by-step explanation:
Starting at noon (12:00 p.m.) the temperature is 5 degrees Celsius and drops 2 degrees every hour. In the attached image I have drawn it out to better see it.
Starting at noon and subtracting 2 every hour gives us…
12:00=5
1:00 = 3
2:00 = 1
3:00 = -1
(And so on until we get)
9:00= -13 degrees
So how do we get to 14 if it is dropping 2 degrees an hour? Simple! How much does it drop every half hour? 1 degrees! So for ever 30 minutes the temperature drops 1 degrees.
This means that at 9:30 the temperature will be -14 degrees Celsius.
5kg+58g+8kg+580g simplify
What is the slope of this line?
1/2
2
-2
-1/2
the probability that a vehicle entering the luray caverns has canadian license plates is 0.12; the probability that it is a camper is 0.28; and the probability that it is a camper with canadian license plates is 0.09. what is the probability that
The probability that a camper entering the Luray Caverns has Canadian license plates is 0.3214.
A = a vehicle entering the Luray caverns has Canadian license plates
B = it is a camper
P(A) = 0.12
P(B) = 0.28
P(A∩B) = 0.09
P(A|B) = P(A∩B) / P(B)
P(A|B) = 0.09 / 0.28
P(A|B) = 0.3214
Hence, the probability that a camper entering the Luray Caverns has Canadian license plates is 0.3214
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The figure above shows a graph of a line that goes through the origin. What is the value of k/h?
A. 4 B. 3 C. 4/3 D. -4/3 E. -4
AYUDAA en mates por favor
Se vende un terreno de 540 000 m2 a tres socios, de modo que el
primero paga las 3/5 del precio, el segundo la tercera parte y el tercero el
resto.
a) ¿Cuánto terreno corresponde a cada socio?
b) ¿Qué fracción del total le correspondió al último?
El primer socio adquirió un terreno de 324 000 metros cuadrados, el segundo socio un terreno de 180 000 metros cuadrados y el tercer socio un terreno de 36 000 metros cuadrados. Al tercer socio le corresponde la fracción de 1 / 15 de todo el terreno.
¿Cuánto del terreno y su precio corresponde a cada socio?
Tenemos que el precio es directamente proprocional a la extensión del terreno, de modo que cada socio tiene una participación en el terreno. a) Entonces la participación de cada persona es la siguiente:
Primer socio
x = (3 / 5) · (540 000)
x = 324 000
Segundo socio
x = (1 / 3) · (540 000)
x = 180 000
Tercer socio
x = (1 - 3 / 5 - 1 / 3) · (540 000)
x = 36 000
b) Y la fracción del total correspondiente al tercer socio es:
x = 1 - 3 / 5 - 1 / 3
x = 1 / 15
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what is the fraction 5/6 minus the fraction 3/8
HELP The entire graph of the function g is shown in the figure below.
Write the domain and range of g as intervals or unions of intervals.
The domain is (-2, -4] and the range is (3 , -5) .
What is domain and range?The domain of a function is the set of values that we are allowed to plug into our function.
As, the graph stretches from -2 to -4.
and, it is also defined at (-2)
So, the domain is (-2, -4]
Range is height of the graph.
The smallest value is -3 and highest value is 5.
So, the range is (3 , -5)
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what property is shown below (5+8)+11=5+(8+11)
The commutative property for addition just means the sum is the same no matter what order you add the terms. This property is also true for multiplication of real numbers.
If altering the operands' order has no effect on the outcome, the binary operation is commutative in mathematics. Numerous binary operations depend on it as a fundamental property, and numerous mathematical arguments.
A commutative property in mathematics states that if integer positions are switched around or combined while performing addition or multiplication operations, the result will remain the same.
According to the commutative property, the numbers we use can be moved around or swapped around without changing the solution. For addition and multiplication, the property is true, but not for division or subtraction.
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someone help me please I need it rn? and I dont get it
first four pictures are to question 4
question 4: Hugh decided to begin a workout program. He wants to start running three times a week. The firs week he averages 1 mile per run and will increase this by 17% each week. Which graph best models the situation?
A, B, C, and D
question 2: Which expressions describe the end behaviors of the function modeled by the graph?
the fifth question to question 2
Select EACH correct answer.
A, B, C OR D
1) The graph that best models the situation is; Graph A
2) The expression that describes the end behaviors of the function modeled by the graph is; As x increases without bound, f(x) approaches the line y = 0
How to Interpret Quadratic Graphs?
We are told that Hugh wants to start a workout program. Sinmce he starts with running three times a week, we can liken this to the y-intercept. Thus; y-intercept = 3
Now, we are told that he increases the running per week by 17%. This means that the slope of the graph will be 17% or 0.17.
Looking at the given graphs, only graphs A and B have their y-intercepts at y = 3.
Now, looking at both graphs, the one with slope closest to 17% will be graph A.
2) The expressions describe the end behaviors of the function modeled by the graph is; D: As x increases without bound, f(x) approaches the line y = 0
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Subject - Geometry
Please Help
Answer:
for the first question,i cannot help since the picture is not clear,but for the second one,i can.so here is the answer for the second question2(-2)+6=22(0)+6=62(2)+6=102(4)+6=14Step-by-step explanation:
u just need to replace the (x) in the equalition.on the calculator,u just write the equalation normally but when u want to replace the ( x) u have to put bracket.replace the x with number next to it or the number at x box.u can check again my answerThe St. Catherine's football team loses 3 yards every 6 minutes.
How many yards did the team lose after 18 minutes?
12 yards
Step-by-step explanation:
18 ÷ 6=3
3 × 3=12
12 yards lost after 18 minutes
(Z-9) (z^2-8z+6) expand
Expand using which formula? If it is using Sum/Difference Formulas, the expanded solution would be:
Solution:
[tex]z^3-17z^2+78z-54[/tex]
Hope this helps!
Find the inverse of each function. Is the inverse a function? f(x)=1/5x³
The inverse for the function f (x) = 1 / 5 x³ will be f ⁻¹ (x) = ∛ (5 x).
We are given the function:
f (x) = 1 / 5 x³
we need to find the inverse of the function.
First we will write the function in the form of x.
y = 1 / 5 x³
5 y = x³
x³ = 5 y
x = ∛ (5 y)
So, the inverse function will be:
f ⁻¹ (x) = ∛ (5 x)
Therefore, the inverse for the function f (x) = 1 / 5 x³ will be f ⁻¹ (x) = ∛ (5 x).
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how do you find the zeros of polynomial r^2-28=-3x? Please show steps as I do not understand how to solve this problem. Thank you ^-^
Answer:
x = -7 and x = 4
Step-by-step explanation:
Note, I am taking the polynomial equation as
[tex]x^2 - 28 = -3x[/tex]
Otherwise it does not become a polynomial of one variable and cannot be solved
Zeros of a polynomial are the values of x where the polynomial value itself is 0
Standard equation for a polynomial of degree 2 is ax² + bx + c = 0 where a, b and c are constants
Degree is the highest exponent. Here the highest exponent is 2 so the polynomial has degree 2. Such a polynomial is called a quadratic polynomial
So we first have to convert
x² - 28 = - 3x into this form ax² + bx + c
1. Add 3x to both sides
x² - 28 + 3x = -3x + 3x =0
==> x² + 3x - 28 = 0
With a = 1, b = 3 and c = -28
2. Factor x² + 3x - 28 = 0
Here a = 1, b = 3 and c = -28
Factoring means find two expressions x+a and x +b such that (x + a) (x + b) = x² + 3x - 28 = 0
Then we can state that
x + a = 0 ==> x = -a as one solution
x + b = 0 ==> x = -b as the other solution
To factor, find two numbers m and n(could be negative) such that mn = c and m + n = b
28 has factors 7 and 4 so that is a good start
-28 = -7 x 4 or could also be 7 x -4
How do we choose?
Add both and see what gives you +3
-7 + 4 = -3 Nope
7 + -4 = 7-4 = 3 YES
So the factors are 7 and -4
(x + m) = (x + 7)
(x + n) = (x -4)
So the original quadratic polynomial becomes
(x + 7)(x -4) =
This means
x + 7 = 0 ==> x = -7
x - 4 = 0 ==> x = 4
So the solutions(also called roots) of x² + 3x - 28 = 0 are:
x = -7 and x = 4
Both the above values satisfy the quadratic equation
A right triangle is formed in the first quadrant by the x- and y-axes and a line through the point (3, 2). write the length l of the hypotenuse as a function of x.
The length l of the hypotenuse as function of x is l = [tex]\sqrt{\frac{4x^{2} }{(x-3)^{2} }+x^{2} }[/tex]
Given,
A right triangle is formed in the first quadrant by x and y axes and a line through the point (3, 2).
The length of sides of triangle are y and x.
By Pythagoras theorem, the length of the hypotenuse is:
l = [tex]\sqrt{y^{2}+x^{2} }[/tex]
Now, we can choose two points to get the value of slope (x₁, y₁) = (3, 2) and (x₂, y₂) = (x, 0)
By using the formula, we get the slope:
m = [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex] = [tex]\frac{0-2}{x-3}[/tex] = [tex]-\frac{2}{x-3}[/tex]
The slope is same when passing through (x, 0) and (0, y) because its in the same line.
m = [tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex] = [tex]\frac{y-0}{0-x}[/tex] = [tex]\frac{y}{-x}[/tex]
That is, m = [tex]-\frac{y}{x}[/tex]
These slopes are equal. So, we can equate them,
[tex]-\frac{2}{x-3}[/tex] = [tex]-\frac{y}{x}[/tex]
[tex]-\frac{2(-x)}{x-3}[/tex] = y
y = [tex]\frac{2x}{x-3}[/tex]
Substitute this to the equation,
l = [tex]\sqrt{y^{2} +x^{2} }[/tex]
l = [tex]\sqrt{(\frac{2x}{x-3})^{2} +x^{2} }[/tex]
l = [tex]\sqrt{\frac{4x^{2} }{(x-3)^{2} } +x^{2} }[/tex]
That is, the hypotenuse has a length of
l = [tex]\sqrt{\frac{4x^{2} }{(x-3)^{2} } +x^{2} }[/tex]
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Please help me in this question
Give the answers as well as explanation
(a-4b)(a^2+4ab+16b^2) simplify the expression
Answer:
a^3-64b^3
Step-by-step explanation:
(a-4b)(a^2+4ab+16b^2)
Multiply.
(a-4b)(a^2+4ab+16b^2)=
=a^3 + 4a^2b+16ab^2-4a^2b-16ab^2-64b^3
Combine like terms.
a^3 + 4a^2b+16ab^2-4a^2b-16ab^2-64b^3=
=a^3-64b^3
Hope this helps!
Please mark as brainliest if correct!
Factoriza
8x¹²-b⁹
....................................................................................
If you are walking at a pace of 6 km/hr for 20 minutes. How far did you walk?
what is the answer for this equation
-10,844 + 9751
Answer:
-1,093
Step-by-step explanation:
-10,844 + 9751 = -1,093
-7 _ -4?
great than less than or what ASAP PLEASE!!!!
Answer:
-7 < -4
Step-by-step explanation:
34+35?
WILL MARK BRAINLIEST
Answer: 69
Step-by-step explanation:
34
+
35
=
69
Answer:
69
Step-by-step explanation:
30 + 30 = 60
4 + 5 = 9
60+9= 69
Basic addition, also can be solved with a calculator
Hope this helped :)
2) 87 what is two divided by 87 with a remainder
Expand each logarithm.
log₅ 25/x
If the expression is log₅ 25/x. then the expansion of this looks like
(log 25-log x)/ log 5.
Given that the expression is log₅ 25/x.
We are told to find the expanded value of the expression.
The change of base formula is used in writing a logarithm operation as a fraction of logarithms with a new base.
The expression is log₅ 25/x.
log₅ 25/x=log (25/x)/log 5
(We know that [tex]log_{a} b[/tex]=log b/ log a)
=(log 25-log x)/ log 5 (We know that log (u/v)=log u-log v)
Hence if the expression is log₅ 25/x. then the expansion of this looks like (log 25-log x)/ log 5.
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The mean of six rational numbers is -4.3.
a) What is the sum of the rational numbers?
b) If five of the numbers each equal -4.5,
what is the sixth number?
Answer:
Step-by-step explanation:
a) You can calculate by multiplying the decimal numbers-
4.3 x 6 = -25.8
-25.8 = The sum of the rational numbers
b) You multiply -4.5 by 5 to get the sum of the first 5 numbers-
-4.5 x 5 = -22.5a
Then you subtract -22.5 from -25.8
-25.8 - (-22.5) = -3.3 --------------- -25.8 + 22.5 = -3.3
So, the sixth number is -3.3
Simplify each rational expression. State any restrictions on the variables.
-5 x³y / 15 x y³
According to the question, the given rational expression can be simplified and as shown below:
Rational expression = [tex]\frac{-5x^{3} y}{15xy^{3} }[/tex]
To simplify the given rational expression, calculate the factors of the numerator as well as denominator. And later divide it from each other. These expressions are also called as polynomial expressions.
Rational expression = [tex]\frac{-x^{2} }{3y^{2} }[/tex]
The final expression of the given equation is [tex]\frac{-x^{2} }{3y^{2} }[/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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I’m stuck. Again. Help
Answer:
1
Step-by-step explanation:
[tex]\mathrm{a^0=1~if~a \neq 0}[/tex] (Assuming a doesn't equal 0)
[tex]= 1[/tex]