Answer:
My answer to the question is 34.0
Thomas’s gross salary in 2017 was $68,000. If he qualifies for an $8,350 exemption when filing his taxes, how much does he owe for the year in federal income taxes? (Section 4.6 and 4.7) (1 point)
Answer: $14,912.5
Step-by-step explanation:
given data:
thomas salary in 2017 = $68,000
exemption = $8,350
solution:
thomas taxable income
= salary in 2017 - tax exemptions
= $68,000 - $8350
= $59,560
federal income tax = 25%
= 0.25 * $59,560
= $14,912.5
thomas Owe’s $14,912.5 in federal Income tax at the end of the year.
2+49 divided by 7 i need help
A Women making $29 an hour gets a 15% raise. How much money will she make after 4 hours of working with the increased hourly pay?
Answer:
$133.40
Step-by-step explanation:
First you have to find 15% of 29 which is 4.35. The way I figured this out was 10% of 29 is 2.9 and 5% of 29 is 1.45 and 2.9 + 1.45 = 4.35.
Then you want to add 4.35 to 29 which equals 33.35, her new hourly pay. Multiply 33.35 by the 4 hours she is working and you end up with $133.40.
The pizza has an area of 78.5 in². What is the minimum width of a placemat that can be placed underneath it so that the pizza does not touch the table? Use 3.14 for pi. someone pls help me
Answer:
The minimum width of the placemat is 10 inches.
Step-by-step explanation:
Let suppose that placemat has a square form, whose width must be at least equal to the diameter of the pizza, so that pizza does not touch the table. Hence, the following relationship is obtained:
[tex]w = D[/tex]
Where:
[tex]w[/tex] - Width of the placemat, measured in inches.
[tex]D[/tex] - Diameter of pizza, measured in inches.
The area of the pizza, measured in square inches, is determined by this formula:
[tex]A = \frac{\pi}{4} \cdot D^{2}[/tex]
The diameter is cleared afterwards:
[tex]D = \sqrt{\frac{4\cdot A}{\pi} }[/tex]
If [tex]A = 78.5\,in^{2}[/tex] and [tex]\pi = 3.14[/tex], then:
[tex]D = \sqrt{\frac{4\cdot (78.5\,in^{2})}{3.14} }[/tex]
[tex]D = 10\,in[/tex]
The minimum width of the placemat is 10 inches.
The minimum width of a placemat that can be placed underneath the pizza so that the pizza wouldn't touch the table is; 10 inches
We are told that the pizza has an area of 78.5 in². Thus;
A = 78.5 in²
Now, the pizza is circular in shape and the minimum width of a placemat that can be placed underneath the pizza so that the pizza wouldn't touch the table will be the diameter of the pizza
Thus, area of a circle with diameter d is;
A = πd²/4
Plugging in the relevant values, we have;
78.5 = 3.14d²/4
d² = 78.5 × 4/3.14
d² = 100
d = √100
d = 10 inches.
Read more at; https://brainly.com/question/17263602
You’ve seen how a polygon can reflect onto itself during a transformation. use what you know about symmetry to describe the line of reflection required for such a transformation. be sure to use the word symmetry in your answer.
When the line of reflection occurs simultaneously with a line of symmetry for a polygon or shape, the shape will be able to reflect onto itself
Hope this helps
When the line of reflection occurs simultaneously with a line of symmetry for a polygon or shape, the shape will be able to reflect onto itself.
What is reflection symmetry?Reflective symmetry is a type of symmetry where one-half of the object reflects the other half of the object. It is also known as mirror symmetry. For example, in general, human faces are identical on the left and right sides. The wings of most butterflies are identical on both sides, the left and right sides.
Which figure has a reflection symmetry?Triangles with reflection symmetry are isosceles. Quadrilaterals with reflection symmetry are kites, (concave) deltoids, rhombi, and isosceles trapezoids. All even-sided polygons have two simple reflective forms, one with lines of reflections through vertices, and one through edges.
Learn more about Symmetry at https://brainly.com/question/1002723
#SPJ2
0.000000000009256 scientific method
Answer:
9.256×10^−12
Step-by-step explanation:
to get standard notation we have a number less ten.
since it is a very small number it has a negative exponent
Water flows through a pipe at a rate of 7 liters every 9.5 hours. Express this rate of flow in pints per week. Round your answer to the nearest whole number
Answer:
Water flow per week = 124 liters
Step-by-step explanation:
Given:
Water flow in 9.5 hours = 7 liters
Find:
Water flow per week
Computation:
Water flow per hour = 7 / 9.5
Hours in a week = 7 × 24 = 168 hours
Water flow per week = Hours in a week × Water flow per hour
Water flow per week = 168 × [7 / 9.5]
Water flow per week = 123.7894
Water flow per week = 124 liters
Find the indicated angle measures. ok last one i promise y’all pls help-
Answer:
bfc = 64, afb = 126
Step-by-step explanation:
I solved in the picture
Hope this helps ^-^
A coach for a little league baseball team is ordering trophies for the team. Players on the team are allowed to choose between 2 types of trophies. The gold baseball trophies cost $5.99 each and the uniform baseball trophies cost $6.49 each. The team orders g gold baseball trophies and u uniform baseball trophies. Write an expression that could represent the total cost of all of the trophies.
Answer:
y= 5.99(g) + 6.49(u)
Step-by-step explanation:
1) First you determine the variable in the equation $5.99, $6.49, g, and u.
2) Then analyze the equation and identify that each gold baseball trophy (g) is worth $5.99, and each uniform baseball trophy (u) is worth $6.49 each.
3) Since you are finding the total you insert a plus sign.
The expression that could represent the total cost of all of the trophies will be C = 5.99g + 6.49u
Cost of gold baseball trophies = $5.99
Cost of uniform baseball trophies = $6.49
Number of gold baseball trophies ordered = g
Number of uniform baseball trophies ordered = u
Therefore, the total cost will be:
= (5.99 × g) + (6.49 × u)
C = 5.99g + 6.49u
Therefore, the expression that could represent the total cost of all of the trophies is C = 5.99g + 6.49u
Read related link on:
https://brainly.com/question/17076311
For 5 days Lydia studied math for a certain amount of time and read for 15 minutes each day Represent the total amount of time Lydia studied and read over the 5-day period.
Since Lydia studied for 5 days
Then it will be 5*15=75 minutes in 5 days
Starting with x = 0.773, express x as a fraction in simplest form.
Answer:
773/1000
Step-by-step explanation:
[tex]x = 0.773 \\ \\ x = \frac{773}{1000} \\ [/tex]
Its chapter LCM .
After traveling every 84 km, a motorbike needs to fill petrol and after 120 km it needs to change Mobil. If these works are done together, after traveling what distance will both the works repeat again?
Answer:
Both works will be repeated at 840km
Step-by-step explanation:
Given
Fills Petrol = Every 84km
Change Mobil = Every 120km
Required
Determine the distance where both works are done at the same time
This solution to this question is to solve for the LCM of 84 and 120
Start by factoring 84
[tex]84 = 2 * 2 * 3 * 7[/tex]
Then, 120
[tex]120 = 2 * 2 * 2 * 3 * 5[/tex]
Then the LCM is as follows;
[tex]LCM = 2 * 2 * 2 * 3 * 5 * 7[/tex]
[tex]LCM = 840[/tex]
Hence, both works will be repeated at 840km
As a quality control manager for her distributing company, Zoe has 875.23 pounds of apples where she found 143.875 pounds of apples were rotten. How many pounds of fresh apples does she have? show your work.
Answer:
731.355
Step-by-step explanation:
875.230 - 143.875 = 731.355
apples rotten fresh
Use the commutative law of multiplication to write an expression equivalent to: (5x)y.
Answer:
(5y)x
Step-by-step explanation:
the commutative law of multiplication=ab=ba, a(bc)=c(ab)
(5x)y=(5y)x=5(xy)
A construction uses a protactor and a ruler true or false
Answer:
True
Step-by-step explanation:
I just did a whole essay about thin in Geometry and I got an A.
Hope this helps! （づ￣3￣）づ╭❤～
subtract 6 from me then multiply by 2 if you subtract 40 and then divide by 4 you get 8 what number am I
Answer:
42
Step-by-step
do it backward starting from 8
Answer:
42
Step-by-step explanation:
A sample of 36 observations is selected from a normal population. The sample mean is 49, and the population standard deviation is 5. Conduct the following test of hypothesis using the .05 significance level.
H0: ? = 50
H1: ? = 50
What is the value of the test statistic?
What is the p-value?
A recent national survey found that high school students watched an average (mean) of 6.5 DVDs per month with a population standard deviation of 0.60 hour. The distribution of DVDs watched per month follows the normal distribution. A random sample of 33 college students revealed that the mean number of DVDs watched last month was 5.80. At the 0.05 significance level, can we conclude that college students watch fewer DVDs a month than high school students?
What is the p-value?
Answer:
A) p = 0.230139
B) p = 0 .00001
There is not enough evidence to show that fewer DVDs a month than high school students
Step-by-step explanation:
A) The correct hypothesis are;
Null hypothesis;H0: μ = 50
Alternative hypothesis;H1: μ ≠ 50
We are given;
Sample mean; x' = 49
Standard deviation; σ = 5
Sample size;n = 36
Formula for the test statistic is given by;
z = (x' - μ)/(σ/√n)
z = (49 - 50)/(5/√36)
z = -1.2
So, from online p-value calculator from z-values as attached, using z-score of -1.2, significance level of 0.05, two tailed, we have;
p = 0.230139
B) we are given ;
x = 5.80
μ = 6.5
n = 33
Standard deviation;σ = 0.6
Significance level = 0.05
Hypotheses are;
Null hypothesis;H0: μ = 6.5
Alternative hypothesis; μ < 6.5
So, formula for the test statistic again;
z = (x' - μ)/(σ/√n)
z = (5.8 - 6.5)/(0.6/√33)
z = -6.7
from online p-value calculator z-values as attached, using z-score of -6.7, significance level of 0.05, one tailed tailed, we have;
p = 0 .00001
This is less than the significance level of 0.05, thus we will reject the null hypothesis and conclude that there is no evidence to show that fewer DVDs a month than high school students
How many solutions are there to the equation below?
12x + 32 = 12x - 7
O A. O
B. 1
O C. Infinitely many
Answer:
A
Step-by-step explanation:
12x + 32 = 12x - 7
12x - 12x + 32 = 12x - 12x - 7
32 = -7
This is a false statement so the answer is A) 0.
Additionally, you can see that we have the quantity 12x on both sides but on one side, it's being added by 32 and on the other, it's being subtracted by 7. How can a quantity added by 32 be equal to the same quantity subtracted by 7? It is impossible for a real number to do so, therefore, the answer is 0.
Answer:
Hey there!
Original Equation: 12x+32=12x-7
Subtract 12x: 32=-7
32 does not equal -7, so there is no solution.
Hope this helps :)
A school newspaper decides to survey all the students enrolled in a gym class to determine the percentage of these students who are
also on the football team. What is the population of this study?
A. students who take gym class
B. students who take gym class and are on the football team
C. all students in the school
D. students who are on the football team
Answer:
A sudents who take gym class
Step-by-step explanation:
the survey only asks for all the students enrolled in a gym class so they can compare with the data for all the students enrolled in the football team
Answer:
a
Step-by-step explanation:
Clarissa has taken 4 tests (100 points each) and has an average of 82.5 What score does she have to get on the next test in order to bring her average up to 85?
Answer:
Clarissa needs a 95
Step-by-step explanation:
4 x 82.5 = 330
Keep trying numbers to see if they work
330 + 95 = 425
425 / 5 = 85
Write an expression to determine (represent) the ratio of the circle's circumference to its radius.
Answer:
C/r
Step-by-step explanation:
The ratio of the circle's circumference to its radius is 2π
Please find attached a diagram of a circle and its radius
A circle is a two dimensional figure bounded by one curved line. All the straight lines that are drawn from a certain point within it to the bounding line, are equal.
The radius of a circle is the distance from the center of a circle to its circumference.
The radius of a circle is represented by r
The circumference of a circle is the perimeter of a circle. It is the distance round a circle.
The formula for the circumference of a circle is 2πr
π = pi = 22/7
r = radius
A ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).
The ratio of a circle's circumference to its radius is
2πr : r
Divide both sides of the equation by r
= 2π : 1
= 2π
To learn more about the circumference of a circle, please check : https://brainly.com/question/15677439?referrer=searchResults
Find AB if AC = 6x-2 AB= 2x+12 BC =3x
Answer:
AB = 40 units
Step-by-step explanation:
Given:
AC = 6 x - 2
AB = 2 x + 12
BC = 3 x
Find:
AB
Computation:
Assume, AC is a straight line
So,
AC = AB + BC
6 x - 2 = 2 x + 12 + 3 x
6 x - 5 x = 14
x = 14
AB = 2 x + 12
AB = 2 (14) + 12
AB = 40 units
A survey reported that 40% of people save loose change to pay bills. The margin of error was given as 3.1 percentage points. Which confidence interval corresponds to the given information
Answer:
0.369≤[tex]\mu[/tex]≤0.431Step-by-step explanation:
The confidence interval boundaries is represented mathematically as shown below;
CI = p±E where;
p is the percentage of people surveyed
E is the margin of error
Given parameters
p = 40% = 0.4
E = 3.1% = 0.031
Required
Confidence interval corresponds to the given information.
Substituting the given parameters into the given formula:
CI = p±E
CI = 0.4±0.031
CI = (0.4-0.031, 0.4+0.031)
CI = (0.369, 0.431)
Hence the confidence interval that corresponds with the information is 0.369≤[tex]\mu[/tex]≤0.431.
How does -2x + x equal -x ?
Answer:
See below.
Step-by-step explanation:
[tex]-2x+x=-x[/tex]
because we combine like terms. You will essentially ignore the x and just do -2 + 1, which is -1. So, the answer would be -1x which is simply just -x.
To see why we can combine like terms, use the distributive property. So we have:
[tex]-2x+x[/tex]
This is the same thing as saying:
[tex]=(-2)x+(1)x[/tex]
Factor out the x:
[tex]=x(-2+1)[/tex]
Add:
[tex]=x(-1)[/tex]
And simplify:
[tex]=-1x\\=-x[/tex]
Answer:
Step-by-step explanation:
-2x + x could also be written as x - 2x, which is x(1 - 2), or -x. Here we can rearrange the terms as we wish (commutative property).
Qual o resultado da subtração dos dois polinômios abaixo? (2x2 + 4x) (–2x2 + x – 6)
Answer:
-4x^4-6x^3-8x^2-24x
Step-by-step explanation:
[tex]\left(2x^2+4x\right)\left(-2x^2+x-6\right)\\[/tex]
distribuir parênteses
[tex]=2x^2\left(-2x^2\right)+2x^2x+2x^2\left(-6\right)+4x\left(-2x^2\right)+4xx+4x\left(-6\right)[/tex]
Aplicar regras de menos mais ;[tex]+\left(-a\right)=-a[/tex]
[tex]=-2\times\:2x^2x^2+2x^2x-2\times\:6x^2-4\times\:2x^2x+4xx-4\times\:6x[/tex]
simplificar
[tex]-2\times\:2x^2x^2+2x^2x-2\times\:6x^2-4\times\:2x^2x+4xx-4\times\:6x:\\\quad -4x^4-6x^3-8x^2-24x[/tex]
There are three consecutive integers such that twice the sum of the smallest and the largest is eight more than twice the largest. Find the smallest integer in the sequence.
Answer: 4
Step-by-step explanation:
Let the consecutive integers be x, x+1 and x+2.
There are three consecutive integers such that twice the sum of the smallest and the largest is eight more than twice the largest. This means that:
2(x + x+2) = 2(x+2) + 8
2(2x + 2) = 2x + 4 + 8
4x + 4 = 2x + 12
Collect like terms
4x - 2x = 12 - 4
2x = 8
x = 8/2
x = 4
The smallest integer in the sequence is 4
Find the value of ab when a=5/12 and b=1/3
Step-by-step explanation:
When two letters are right next to each other, you multiply them. Since a and b are next to each other, we multiply them together.
[tex]A=\frac{5}{12}[/tex]
[tex]B=\frac{1}{3}[/tex]
To multiply fractions, you place them next to each other and multiply across.
[tex]\frac{5}{12}*\frac{1}{3} \\5*1=5\\12*3=36[/tex]
Our final answer: [tex]\frac{5}{36}[/tex] (we cannot simplify it any further)
If A and B are independent events with P( A) = 0.60 and P( A| B) = 0.60, then P( B) is: a. 0.60 b. cannot be determined with the information given c. 0.36 d. 1.2
Answer:
B. cannot be determinedStep-by-step explanation:
For two events A and B to be independent, it means they can occur at the same time i.e the occurrence of one does not affect the other occurring. It is represented as P(A∩B) = P(A)P(B)
Given P( A) = 0.60 and P( A| B) = 0.60, to find P(B), we will use the formula for the conditional probability P( A| B) = P(A∩B) /P(B)
P( A| B) = P(A)P(B) /P(B)
P( A| B) = P(A)
Since P( A| B) = 0.60, therefore P(A) is also equal to 0.60 and P(B) cannot be determined since they cancelled out already
write each ratio statement as a fraction and reduce to lowest terms if possible.(i)18 to 24 (ii)5 to 15 (iii)14:42 (iv) 15 cents to 18 cents.
Answer:
i) 3/4
ii) 1/3
iii) 1/3
iv) 5/6 cents
Step-by-step explanation:
Any ratio can be written as a fraction.
For example 3:4 can be writen as 3/4 or 14:42 as 14/42.
After you convert them to fractions you then simplify them by finding their highest common factor (HCF) and then divide both numerator and denominator by the HCF. When you cant simplify the fraction anymore, that is the fraction in its lowest terms.
witch of the following is equivalent to -8-9(55+2x)
Answer:
-8-495-18x
Step-by-step explanation:
-8-9(55)-9(2x)
-8-495-18x