Answer:
$3,300
Step-by-step explanation:
The salary given falls in the third range, meaning it should get a 5.5% income tax on the $60,000.
5.5% = 0.055
0.055 * $60,000 = $3,300
Therefore, the state income tax owed on the provided salary is $3,300.
Given two trig ratios find the third!
Answer:
Step-by-step explanation:
A trig identity is tan(x) = sin(x)/cos(x) so
tan(A) = (4/7)/(3/7) = 4/3
Find the scale factor where the pre-image is the large triangle and the image is the small triangle.
A. 4/5
B. 3/2.4
C. 2.4/3
D. 5/4
Answer:
Option B
Step-by-step explanation:
If the larger triangle (Preimage) is dilated by a scale factor 'k' to form the image triangle (small triangle),
Scale factor = [tex]\frac{\text{Length of one side of the image triangle}}{\text{Length of one side of the preimage}}[/tex]
k = [tex]\frac{3}{2.4}[/tex]
Therefore, Option B will be the correct option.
Question 4(Multiple Choice Worth 1 points) (08.01 LC) What are the x-intercepts of the parabola? graph of parabola falling from the left, passing through 2 comma 3 to about 4 comma negative 1, and rising to the right, passing through 6 comma 3 (0, 3) and (0, 5) (0, 4) and (0, 5) (3, 0) and (5, 0) (4, 0) and (5, 0)
Answer:
(4, 0) and (5, 0)
Step-by-step explanation:
Given
See attachment for graph
Required
The x intercepts
This is the point where [tex]y = 0[/tex]
From the graph, we have the following as the x-intercepts:
[tex](x_1,y_1) = (4,0)[/tex]
[tex](x_2,y_2) = (5,0)[/tex]
Because the curve crosses the x-axis at the above points
Answer:
(4, 0) and (5, 0)
Step-by-step explanation:
have a great day and please mark brainliest!
Miles recorded his height, in inches, from age 10 to age 18, as shown in the table. Age, x 10 11 12 13 14 15 16 17 18 Height, y 54 58 61.5 64.5 68 70 73 74 74.5 What is the square root function that best models this set of data?
Answer: Y=10.76 √(x-9.12)+43.64
Step-by-step explanation:
Rewrite the fraction in the sentence below as a percentage. From 125 yards away, a marksman hit 11/20 of the targets last year.
Answer:
Step-by-step explanation:
11/20 = 55/100 = 55%
find the measure of the angle to the nearest degree
Answer:
18
Step-by-step explanation:
Assuming the sides are 12 and 38
Since this is a right triangle, we can use trig functions
We know the opp side and the adj side of the angle in questions
tan ? = opp /adj
tan ? = 12/38
Taking the inverse tan of each side
tan ^-1 (tan ?) = tan ^-1 (12/38)
?=17.52556
To the nearest degree
? = 18
If the side is 36,
tan ? = opp /adj
tan ? = 12/36
Taking the inverse tan of each side
tan ^-1 (tan ?) = tan ^-1 (12/36)
?=18.43494
To the nearest degree
? = 18
What is 5x4 please help
Answer:
5 x 4 = 20.
Step-by-step explanation:
5 + 5 = 10
5 + 10 = 15
5 + 15 = 20!
Please mark brainliest!
- KanaKittyKat
Answer:
5 x 4 = 20
5 + 5 + 5 + 5 = 20
Solve equation by using the quadratic formula
Answer:
x = -2
Step-by-step explanation:
x^2 + 4x + 4 = 0
quadratic formula:
-b +or- sqrt(b^2-4ac)/2a
-4 +/- sqrt ((-4)^2-4*1*4)/2*1
-4+/- sqrt(16-16) / 2
-4 +/- 0 / 2
-4/2
-2
12,963 rounded to the nearest hundredth
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Answer:
12,963.00 (in the US)12,96 (some other places)Step-by-step explanation:
In the US, a decimal point is represented by a period. This value is interpreted as an integer with no fractional part, so the fractional part is zero:
12,963.00
__
Some other places, a comma is used to identify the beginning of the decimal fraction. In that form, this number has a fractional part that has 3 as its thousandths digit. The value of 3 is less than 5, so the number is simply truncated at the hundredths place.
12,96
If the thousandths digit were 5 or greater, then 1 hundredth would be added to the truncated number.
Simplify the trigonometric expression cos(2x)+1 using Double-Angle identities
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Answer:
C. 2cos²(x)
Step-by-step explanation:
The relevant identities are ...
cos(2x) = cos²(x) -sin²(x)
cos²(x) = 1 -sin²(x)
__
Then the expression can be simplified to ...
cos(2x) +1 = (cos²(x) -sin²(x)) +1 = cos²(x) +(1 -sin²(x)) = cos²(x) +cos²(x)
= 2cos²(x)
What are the domain and range of the function represented by the table?
X
-1
-0.5
0
0.5
1
y
3
4
5
6
7
A. Domain: -1 sxs 1
Range: y2 3
B. Domain: -1sxs1
Range: 3, 4, 5, 6, 7}
C. Domain:{-1, -0.5, 0, 0.5, 1}
Range: {3, 4, 5, 6, 7}
D. Domain:{-1,-0.5, 0, 0.5, 1}
Range: y23
Donald has x twenty dollar bills and 1 yen dollar bill. How much money does Donald have?
Write your answer as an expression
Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your answer as a function of t.)
(s + 1)3
Expand the expression as
(s + 1)³/s ⁵ = (s ³ + 3s ² + 3s + 1)/s ⁵
… = 1/s ² + 3/s ³ + 3/s ⁴ + 1/s ⁵
Then taking the inverse transform, you get
LT⁻¹ [1/s ² + 3/s ³ + 3/s ⁴ + 1/s ⁵]
… = LT⁻¹ [1/s ²] + LT⁻¹ [3/s ³] + LT⁻¹ [3/s ⁴] + LT⁻¹ [1/s ⁵]
… = LT⁻¹ [1!/s ²] + 3/2 LT⁻¹ [2!/s ³] + 1/2 LT⁻¹ [3!/s ⁴] + 1/24 LT⁻¹ [4!/s ⁵]
… = t + 3/2 t ² + 1/2 t ³ + 1/24 t ⁴
Graph the line with slope
3/4
passing through the point (-1, 4).
Answer:
y=3/4x+19/4
Step-by-step explanation:
y=mx+c
4=3/4*-(1)+c
4=-3/4+c
c=4+3/4
c=19/4
y=3/4x+19/4
Need help ASAP
In the figure, if the measure of ∠8 = 72o, what's the measure of ∠14?
Four Bisecting Lines
Question 3 options:
108°
72°
98°
62°
Answer:
72°
Step-by-step explanation:
[tex] m\angle \: 6 = m \angle \: 8 \\ (corresponding \: \angle s) \\ m\angle \: 8 = 72 \degree \\ \therefore \: m\angle \: 6 = 72 \degree \\ \\ m\angle \: 14 = m \angle \: 6 \\ (corresponding \: \angle s) \\\therefore \: m\angle \: 14 = 72 \degree [/tex]
obtain the value of X for which (X+1),(X-5),(X-2) is a geometric progression.hence find the sum of the first 12 terms of the progression.
If x + 1, x - 5, and x - 2 are in a geometric progression, then there is some constant r for which
x - 5 = r (x + 1)
==> r = (x - 5) / (x + 1)
and
x - 2 = r (x - 5)
==> r = (x - 2) / (x - 5)
Then
(x - 5) / (x + 1) = (x - 2) / (x - 5)
Solve for x :
(x - 5)² = (x - 2) (x + 1)
x ² - 10x + 25 = x ² - x - 2
-9x = -27
x = 3
It follows that the ratio between terms is
r = (3 - 5) / (3 + 1) = -2/4 = -1/2
Now, assuming x + 1 = 4 is the first term of the G.P., the n-th term a(n) is given by
a(n) = 4 (-1/2)ⁿ⁻¹
The sum of the first 12 terms - denoted here by S - is then
S = 4 (-1/2)⁰ + 4 (-1/2)¹ + 4 (-1/2)² + … + 4 (-1/2)¹¹
Solve for S :
S = 4 [(-1/2)⁰ + (-1/2)¹ + (-1/2)² + … + (-1/2)¹¹]
(-1/2) S = 4 [(-1/2)¹ + (-1/2)² + (-1/2)³ + … + (-1/2)¹²]
==> S - (-1/2) S = 4 [(-1/2)⁰ - (-1/2)¹²]
==> 3/2 S = 4 (1 - 1/4096)
==> S = 8/3 (1 - 1/4096)
==> S = 1365/512
What are the Values for x,y,z?
Answer:
it can be any number1234567890
The 450 juniors at East HS drink a total of 1500 cartons of milk per 5-day week. If the average senior drinks milk at the same rate as the average junior, what is the average number of total cartons of milk the 600 seniors drink each school day?
Answer:
I believe it’s 900
Step-by-step explanation:
Find out how much milk per student for one day then time 5 the times 600 if I’m wrong please let me know
The average number of total cartons of milk the [tex]600[/tex] seniors drink each school day will be [tex]400[/tex].
What is average?The average is the sum of the numbers divided by total numbers .
We have,
Number of juniors [tex]=450[/tex]
Number of Seniors [tex]=600[/tex]
And,
Cartons of milk Juniors drink in [tex]5[/tex] days [tex]=1500[/tex] cartoons
So,
Cartons of milk Juniors drink in [tex]1[/tex] day [tex]=\frac{1500}{5} =300[/tex]
So,
The average Cartons of milk Juniors drink in [tex]1[/tex] day [tex]=\frac{300}{450} =\frac{2}{3}[/tex]
And,
According to the question,
The average Cartons of milk Juniors drink in [tex]1[/tex] day [tex]=[/tex] The average Cartons of milk Seniors drink in [tex]1[/tex] day
i.e.
The average Cartons of milk Seniors drink in [tex]1[/tex] day [tex]=\frac{2}{3}[/tex]
So,
Number of total cartons of milk the [tex]600[/tex] seniors drink each school day [tex]=\frac{2}{3}*600=400[/tex]
Hence we can say that the average number of total cartons of milk the [tex]600[/tex] seniors drink each school day will be [tex]400[/tex].
To learn more about average click here
https://brainly.com/question/4539347
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Mathew travels 42/50 meters in 26/30 minutes. Find the speed of Mathew in meters per second
Answer:
Step-by-step explanation:
I am authoring you to offer free insurance for a year the regular price is 6.99 this will save the customer almost_ a year
Yogi is 6 years older than Michelle. The sum of their ages is 26. Write a system of linear equations to represent this information. What are their ages?
Answer:
10 and 16, x+(x+6)=26
Step-by-step explanation:
Michelle has an age we don't know, so we put her age as x.
Yogi is 6 years older than her, so her age is x+6
Michelle=x
Yogi=x+6
we know both their ages equal 26. so we set it up as
x+(x+6)=26
combining like terms we get
2x+6=26
subtract 6 from both sides
2x=20
divide both sides by 2
x=10
now that we have the value for x, we plug it into their original ages
Michelle is 10, because her age is just x.
Yogi is 16, because her age is x+6
For a recent year, 38 more Democrats than Republicans represented a country. If the total number of representatives of the country from these two parties was
452, find the number of representatives from each party.
Solve the equation.
Interpret the results and write the answer in words.
The smaller piece is x = _ in.
The longer piece is _x = _ ( ) = _ in.
The lengths of the two pieces are _ in
and _ in.
Part 1 of 2
_ in
Part 2 of 2
_ in
Second question isn't well formatted
Answer:
Number of republicans = 207
Number of democrats = 245
Step-by-step explanation:
Let :
Number of republicans = x
Number of democrats = x + 38
Total number of representatives from the two parties = 452
Tge number of representatives from each party can be calculated thus ;
Number of democrats + number of republicans = total number of representatives
(x + 38) + x = 452
x + 38 + x = 452
2x = 452 - 38
2x = 414
x = 414 / 2
x = 207
Number of republicans = 207
Number of democrats = 207 + 38 = 245
What is the length of CD? In this diagram, AABC ~ AEDC. 20-% c * 7 21
Answer:
[tex]\frac{BC}{DC}=\frac{AC}{EC}[/tex]
[tex]\frac{20-x}{x} =\frac{21}{7}[/tex]
[tex]\frac{20-x}{x} =3[/tex]
[tex]20-x=3x[/tex]
[tex]4x=20[/tex]
[tex]x=5[/tex]
[tex]So, CD=5[/tex]
OAmalOHopeO
Please help!
I will be giving 20 points
Also give small explanations if needed
Which number can be distributed across two terms
inside parentheses? 3/5 V
X-6
18-4x-1
5
tep 2 Combine like terms that are on the same side of
the equation. Which terms can be combined?
18 and -1
3/5x and 4x
6 and 1
Check
Intro
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Answer:
3/5 can be distributed (correct answer is shown)18 and -1 can be combinedStep-by-step explanation:
The only factor outside parentheses that contain 2 terms is the factor 3/5. It can be distributed. (The correct response is shown.)
3/5 can be distributed
__
The only like terms that reside on the same side of the equal sign are ...
18 and -1
Drag each tile to the correct location on the image. Each tile can be used more than once, but not all images will be used.
Consider function f.
f(x) = 3√8x+4. PLZ HELP
Answer:
Switch x and y, and solve for y
[tex]f^{-1}(x) =\frac{(x -4)^3}{8}[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 3\sqrt{8x} + 4[/tex]
Required
Complete the steps to determine the inverse function
Solving (a): Complete the blanks
Switch x and y, and solve for y
Solving (b): Determine the inverse function
[tex]f(x) = \sqrt[3]{8x} + 4[/tex]
Replace f(x) with y
[tex]y = \sqrt[3]{8x} + 4[/tex]
Switch x and y
[tex]x = \sqrt[3]{8y} + 4[/tex]
Now, we solve for y
Subtract 4 from both sides
[tex]x -4= \sqrt[3]{8y} + 4-4[/tex]
[tex]x -4= \sqrt[3]{8y}[/tex]
Take cube roots of both sides
[tex](x -4)^3= 8y[/tex]
Divide both sides by 8
[tex]\frac{(x -4)^3}{8} = y[/tex]
So, we have:
[tex]y =\frac{(x -4)^3}{8}[/tex]
Hence, the inverse function is:
[tex]f^{-1}(x) =\frac{(x -4)^3}{8}[/tex]
Answer:
x
y
f^-1(x)= 1/8(x-4)^3 (plug in choices to match)
Step-by-step explanation:
You see, the guy above me already got it right. 1/8(x-4)^3 and (x-4)^3/8 are essentially the same thing. The only difference is either dividing by 8 and multiplying by 1/8, and that's only a visual difference.
A function of the form f(x)=ab^x is modified so that the b value remains the same but the a value is increased by 2. How do the domain and range of a new function compare to the domain and range of the original function?
Answer:
The domain and range remain the same.
Step-by-step explanation:
Hi there!
First, we must determine what increasing a by 2 really does to the exponential function.
In f(x)=ab^x, a represents the initial value (y-intercept) of the function while b represents the common ratio for each consecutive value of f(x).
Increasing a by 2 means moving the y-intercept of the function up by 2. If the original function contained the point (0,x), the new function would contain the point (0,x+2).
The domain remains the same; it is still the set of all real x-values. This is true for any exponential function, regardless of any transformations.
The range remains the same as well; for the original function, it would have been [tex]y\neq 0[/tex]. Because increasing a by 2 does not move the entire function up or down, the range remains the same.
I hope this helps!
if (a + b) = 73 and a b =65 find value of a²+ b²
Step-by-step explanation:
Here,
by formula a^2+b^2=(a+b)^2-2ab
so,
or,(a+b)^2-2ab
or,(73)^2-2×65
or,5329-126
=5203 is the answer
Find x so that the distance between the points (1,2) and
(x, -10) is 13
Answer:
x = -4 or 6
Step-by-step explanation:
12^2 + (1-x)^2 = 13^2
(1-x)^2= 13^2 - 12^2
(1-x)^2= 25
1-x = 5
x = -4 or 6
Người ta thống kê được rằng mỗi chuyến bay có chừng 0,5% hành khách bị mất hành lí và giá trị trung bình mà khách đòi bồi thường cho mỗi hành lí bị mất là 1 triệu đồng. Một dịch vụ muốn tăng thêm giá vé để bù đắp cho số chi phí này.Vậy nên tăng thêm giá mỗi vé là bao nhiêu ?
Answer:
tăng lên 5.000 nghìn đồng
Step-by-step explanation:
mỗi chuyến bay có 0.5% hành khách mất hành lí
mỗi người đòi bồi thường 1.000.000 đồng
do đó vẽ mỗi người tăng lên :0.5%×1.000.000=5.000