Answer:
$1300
Step-by-step explanation:
The piecewise function is defined as f(x) = 0.05x - 300 over the income range of $15,000 to $40,000. An Aribraska resident who earns $32,000 would owe $1,600 in taxes.
Explanation:The piecewise function is defined as f(x) = 0.05x - 300 over the part of the domain where the income is between $15,000 and $40,000. This is because the tax rate of 5% is being applied to the income in this range. For any income above $40,000, the tax rate is 7%, so the function would not be equal to 0.05x - 300.
To calculate the amount of taxes owed by an Aribraska resident who earns $32,000, we need to determine the income range that applies to this amount. Since $32,000 is within the range of $15,000 to $40,000, we can use the piecewise function to calculate the taxes:
f(32,000) = 0.05(32,000) - 300 = 1,600
Therefore, an Aribraska resident who earns $32,000 would owe $1,600 in taxes.
Please help idk if what i chose was right
Answer: the answer is A (4)
Answer:
The correct answer is 8 inches
Step-by-step explanation:
Write your own explicit formula. List the first 4 terms and solve for the 10th term using the formula. (show your work)
Answer:
See below.
Step-by-step explanation:
Formula:
[tex] a_n = 3(n + 4) [/tex]
First term: n = 1
[tex] a_1 = 3(1 + 4) = 15 [/tex]
Second term: n = 2
[tex] a_2 = 3(2 + 4) = 18 [/tex]
Third term: n = 3
[tex] a_3 = 3(3 + 4) = 21 [/tex]
Fourth term: n = 4
[tex] a_4 = 3(4 + 4) = 24 [/tex]
Tenth term: n = 10
[tex] a_{10} = 3(10 + 4) = 42 [/tex]
The explicit formula is [tex]a_{n}[/tex] = 4 + (n - 1)3 first four terms will be 4, 7, 10, and 13 and the 10th term will be 31.
What is Arithmetic progression?The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).
The arithmetic progression has wider use in mathematics for example sum of natural numbers.
Natural number = 1,2,3,4,5,6,7,8...
Now it has the same difference between any two consecutive terms d =2-1 = 3-2.
Let's say
First term = 4
Common difference = 3
Then
The nth term of the AP will be
[tex]a_{n}[/tex] = 4 + (n - 1)3
First term: n = 1
a₁ = 4
Second term: n = 2
a₂ = 7
Third term: n = 3
a₃ = 10
Fourth term: n = 4
a₄ = 13
Tenth term: n = 10
a₁₀ = 31
Hence, the explicit formula is [tex]a_{n}[/tex] = 4 + (n - 1)3 first four terms will be 4, 7, 10, and 13 and the 10th term will be 31.
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James and his 4 friends bought 2 pizzas.Each pizza was cut into 8 slices.If the boys share the pizza equally,how many pieces will each boy get to eat?
Answer:3
Step-by-step explanation:
2x8=16
There are 5 people in total
16/5=3.2
Whole number so 3 slices
The number of milligrams of a certain medicine a veterinarian gives to a dog varies directly with the weight of the dog. If the
veterinarian gives a 30-pound dog 3/5 milligram of the medicine, which equation relates the weight, w, and the dosage, d?
Answer: The answer is the first one d= 1/50w.
Step-by-step explanation: 3/5 divided by 30 is 1/50 as a fraction. This is the unit rate. 1/50 milligrams per pound. Hope this helps!:))
Answer:
it would be D=1/50 W
Step-by-step explanation:
If an alloy requires copper, nickel, and zinc in a ratio of 12:5:3, how many kilograms of each metal are needed to make 5 kg of the alloy?
Answer:
copper=3kg
nikhil=5/4 kg
zinc=3/4 kg
Step-by-step explanation:
copper:nikhil:zinc
12:5:3
let x be one value
12x+5x+3x=5
20x=5
x=5/20=1/4
12*1/4=12/4=3
5*1/4=5/4=1 1/4
3*1/4=3/4
To make 5 kg of the alloy, you would need:
3 kg of copper1.25 kg of nickel0.75 kg of zinc.What is Ratio?A ratio is a mathematical comparison of two quantities or values. It expresses the relationship or proportion between the quantities being compared. Ratios can be represented in different forms, such as fractions, decimals, or as a colon (:).
Let's calculate the amounts for each metal:
Copper:
The ratio indicates that for every 12 parts of the alloy, 1 part should be copper.
So, the amount of copper needed
= 12/20 x 5
= 3 Kg
Nickel:
For every 5 parts of the alloy, 1 part should be nickel.
So, the amount of nickel needed
= 5/20x 5
= 1.25 Kg
Zinc:
For every 3 parts of the alloy, 1 part should be zinc.
So, the amount of zinc needed
= 3/20 x 5
= 0.75 Kg
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X-6
Use the expression X+4
How many excluded value(s) are there?
Answer:
There is 1 excluded value
The excluded value is -4
Step-by-step explanation:
This is correct on edge
Answer:
last one is -3 and -2
Step-by-step explanation:
on edge
Question Progress
Homework Progress
a) Complete the table of values for y = x2 - 4x
1
xuo1 2 3 4 5
b) Which of the three curves drawn
matches the graph of y = x2 - 4x ?
Step-by-step explanation:
X Y
-5 45
-4. 32
-3. 21
-2. 12
-1. 5
0 0
1. -3
2. -4
3. -3
4 0
5 5
To complete the table of values for y = x^2 - 4x, substitute the given values of x into the equation. To determine the matching graph, compare the shape, direction, and intercepts of the given curves to y = x^2 - 4x.
Explanation:
For part a), you need to substitute the given values of x into the equation y = x^2 - 4x to find the corresponding values of y.
So for x = 1, y = (1)^2 - 4(1) = 1 - 4 = -3.
For x = 2, y = (2)^2 - 4(2) = 4 - 8 = -4.
Similarly, you can find the values of y for the other given values of x.
For part b), look at the three curves drawn and find the one that matches the graph of y = x^2 - 4x. Compare the shape, direction, and intercepts of the graph to determine the correct curve.
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Can someone please help me with this question please ?
Answer:
x=43
Step-by-step explanation:
Since the lines are parrallel, the angle underneath the one you are finding is equal to 65. To find the total value of (x+72) you subtract 65 from 180, giving you 115.
x+72 = 115
then you subtract 72 from both sides
x=43
If 45% of the class are boys what percent is girls
Answer:
55%
Step-by-step explanation:
100% - 45% = 55%
Step-by-step explanation:
We know that
Total percentage = 100%
Percentage of boys = 45%
Percentage of girls = ( 100 - 45)%
=55%
Add polynomials (intro)
Add.
Your answer should be an expanded polynomial in standard form.
(7a3 - 2a - 2)+(-5a + 3) =
Stuck? Watch a video or use a hint.
V2
Plz I need the answer help
Which expression is equivalent to: -g -5(2g - 3)?
A. -11g -3
B. -11g +15
C. -10g + 15
D. -10g -3
Please help!!!!!!
Answer:
Option B, [tex]-11g + 15[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex]-g - 5(2g - 3)[/tex]
[tex]-g + (-5 * 2g) + (-5 * -3)[/tex]
[tex]-g - 10g + 15[/tex]
[tex]-11g + 15[/tex]
Answer: Option B, [tex]-11g + 15[/tex]
A segment XD is drawn in rectangle QUAD as shown
below.
What are the measures of ZXDQ and ZUXD ?
mZXD
m2 UXD =
Answer:
∠XDQ : 41°
∠UXD: 139 °
Step-by-step explanation:
Allow me to rewrite your answer for a better understanding and please have a look at the attached photo.
A segment XD is drawn in rectangle QUAD as shown below.
What are the measures of ∠XDQ and ∠UXD ?
My answer:
As we can see in the photo, ∠ADX = 49° and ∠ADU =90°
=> ∠XDQ = ∠ADU - ∠ADX
= 90° - 49° = 41°
In the triangle ADX, we can find out the angle of ∠DXA
= 180° - ∠DAX - ∠ADX
= 180° - 90° - 49°
= 41°
=> ∠UXD = 180° - ∠DXA (Because UA is a straight line)
=180° - 41°
= 139 °
Two parallel lines are cut by a transversal as shown. What is the value of x? A) 45 B) 55 C) 65 D) 75
Answer:
55
Step-by-step explanation:
180-25=55
Answer: 55
Step-by-step explanation:
How would one be able to apply algebra to solve a random number problem?
Algebra can be used to solve a random number problem by considering order of operations.
Step-by-step explanation:
Algebra is one of the broad parts of mathematics, together with number theory, geometry, and mathematical analysis. It is used to represent the letters and symbols than numbers and quantities.
Algebra is of two types
i.) Elementary algebra , ii.) Abstract algebra
Elementary algebra is used for any study and their applications.
Abstract algebra is used for advanced mathematics by professionals.
The order of operations in algebra means solving first for exponents or roots, then multiplication, division, addition, and last for subtraction. The steps for the order of operations also require attention to mathematical grouping symbols, such as parentheses and brackets.
To solve a random number problem using algebra, understand the problem's context, convert the numbers into usable formats, apply algebraic techniques, and verify the results. For instance, Lisa uses random numbers generated by a calculator to select class members uniquely. These steps help solve such problems efficiently.
Applying Algebra to Solve a Random Number Problem:
To apply algebra to solve a random number problem, follow these steps:
First, understand the context and problem requirements. For example, suppose Lisa needs to select class members using random numbers generated by a calculator.Convert the random numbers into usable groups or categories. In Lisa's case, she reads .94360 as 94, 43, 36, and 60, with each number representing a potential class member.Apply algebraic techniques to manage and convert these numbers appropriately. For example, if you need to sum, multiply, or find an average of these numbers, use algebraic operations like addition or division.Verify your final answer by ensuring it meets all the problem’s criteria and constraints. Since each random number may only contribute one class member, Lisa checks that she selects unique members.By following these steps, you can solve random number problems efficiently using algebra.
Random numbers can be generated using various tools like tables or calculators, and their manipulation often requires algebraic techniques. Using a combination of these methods allows one to solve real-world problems, such as selecting class members or calculating probabilities.
What type of triangle has three equal angles?
Answer:
Equilateral Triangle Has Three ⚟ equal angles because it sides are equal then opposite angle are also equal.
Thank You ☺️ ☺️.
☆ ★ Make It Brainlist Answer....Equilateral triangle has three equal angles.
there are three types of triangle.They are scalene triangle,isosceles raingle and equilateral triangle.Equilateral triangles are also the types of triangle which have three equal sides.
Construct a linear equation in standard form.
Answer:
1
2
Step-by-step explanation:
Write an exponential function in the form of y=ab* that goes through points (0,9) and (3,4608)
Answer:y=9(8)^x
Step-by-step explanation:
The exponential function that passes through the points (0,9) and (3,4608) is y = 9 * 8^x. This was determined by using the given points to find the values of a and b in the function y = ab^x.
Explanation:To write an exponential function that passes through the points (0,9) and (3,4608), we start with the general form y=abx. Using the given points, we can set up two equations based on their coordinates. The first point (0,9) leads to the equation 9 = a * b0, which simplifies to 9 = a since anything raised to the power of 0 is 1. The second point (3,4608) gives us 4608 = a * b3.
Now that we know a = 9, we can substitute it into the second equation to find the value of b: 4608 = 9 * b3. Dividing both sides by 9, we get 512 = b3, which leads to b = 8 after taking the cube root of 512. Thus, the exponential function we are looking for is y = 9 * 8x.
If 3x = -36 then x = ?
[tex]3x=-36|:3\\x=-12[/tex]
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Answer:
-12
Step-by-step explanation: To put it simple you want to get the x by itself which means you'll have to multiply both sides by 3
3x/3 = x
-36/3 = -12
x = -12
what is the value of x in the figure below
Five cubes are lined up in norder of size to form a solid. the side of each smaller cube is completely touching the side of the adjacent larger cube. The side lengths of the cubes are 1ft , 2ft, 3ft , 4ft, and 5ft. What is the surface area of the solid?.
Answer:
246 Square Feet
Step-by-step explanation:
The cubes are of side length 1ft , 2ft, 3ft , 4ft, and 5ft in that order.
If the side of each smaller cube is completely touching the side of the adjacent larger cube.
In the first and last cubes, 5 sides out of 6 are visible, so we use the formula [tex]5l^2[/tex] for their surface area.In the 2nd, 3rd and 4th cubes, only 4 sides out of 6 are visible, so we use the formula [tex]4l^2[/tex] for their surface area.Surface Area of the Solid [tex]= 5(l_1)^2+4(l_2)^2+4(l_3)^2+4(l_4)^2+5(l_5)^2, where \: l_1,l_2,l_3,l_4,l_5[/tex]
are the length of the cubes in that order
Surface Area of the Solid
[tex]= 5(1)^2+4(2)^2+4(3)^2+4(4)^2+5(5^2)\\=5+16+36+64+125\\=246 \:Square\: feet[/tex]
The mean of 5 numbers is 12. If four of the numbers are 1, 2, 3, 20, what is the last number?
So the last number is 34.
Hope this will help u...
-8-(-2)=−8−(−2)=
also im not sure if this is pre calc. , regular calc. or algebra
Geometry question,. Someone please help me!!
Answer:
I think its 23o
Step-by-step explanation:
What is the value of a in the equation 5 a minus 10 b equals 45, when b equals 3? 3 15 21 39
Answer:
a=15
Step-by-step explanation:
5a-10b=45
5a-10*3=45
10*3=30
5a-30=45
+30
5a=75
75/5=15
a=15
Answer:
A=15
Step-by-step explanation:
A) -5,2
B) 2,-5
C) no solution
D)all real number
Answer:
(-5,2)
Step-by-step explanation:
The solution to the system is where the two lines cross
x = -5
y = 2
Answer:
Option A, (-5, 2)
Step-by-step explanation:
Step 1: Determine the solution
The solution is where both of the lines intersect. In this graph, they intersect at the x-value -5 and at a y-value of 2.
Answer: Option A, (-5, 2)
Membership in the Volunteers Club increased by 15% from last year. If the number of members last year was m, complete a simplified expression to represent the number of members this year.
Answer: a simplified expression to represent the number of members this year is: x = 1.15 * (m)
Step-by-step explanation:
For this case what you can do is the following rule of three:
m ---> 100%
x ----> 115%
Clearing the value of x we have:
x = (115/100) * (m)
x = 1.15 * (m)
The ratio of males to females in a Math 092 class is 2:3.
How many males are there in a class with 24 females?
Answer:
16
Step-by-step explanation:
2:3=x:24
2/3=x/24
(24)(2/3)=x
x=16
i need help with the equation 100 − 5n
Answer:
55/3 its a fraction hope this helps
Step-by-step explanation:
The ratio of nickels to dimes that Wade had saved in his bank was 10/13. If total number of nickels and dimes saved was 391, how many of them were dimes?
Answer:
The answer is 221.
Step-by-step explanation:
It is 221 because you find what number you can multiply both sides of the ratio by to get 391.
If you add both sides, 10 and 13, you get 23.
Divide 391 by 23 and you get 17.
Finally, multiply 13 by 17 and you get 221.