Answer:
Slope = 3500
Sarah's salary will increase by 3500 per year
Step-by-step explanation:
Given that Sarah's salary after working n years is given as :
S=90000+3500n
The equation given is similar to a linear equation :
y = bx + c ;
Where, b = slope of the linear equation
Therefore, relating the equation to that of a linear model ; the slope, b is equivalent to 3500 in Sarah's salary equation.
Slope is simply described as the rate of change, the change in y per unit change in x ;
Therefore, this means Sarah's salary will increase by 3500 per year
Simplify......................
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \frac{( {a}^{2} + {b}^{2} )}{a} }}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \frac{ {a}^{4} - {b}^{4} }{ {a}^{3} - a {b}^{2} } [/tex]
[tex] \\= \frac{ ({ {a}^{2} })^{2} - { ({b}^{2} })^{2} }{a( {a}^{2} - {b}^{2} )} [/tex]
[ ∵ (a²)² = [tex]{a}^{4}[/tex] ]
[tex] \\= \frac{( {a}^{2} + {b}^{2} )( {a}^{2} - {b}^{2}) }{a( {a}^{2} - {b}^{2}) } [/tex]
[tex] \\= \frac{( {a}^{2} + {b}^{2} )}{a} [/tex]
Note:[tex] {a}^{2} - {b}^{2} = (a + b)(a - b)[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{ヅ}}}}}[/tex]
An exam has 20 exercises.For every exercise solved correctly you get 8 points and for every exercise solves wrong are taken off 5 points.Ben had 13 points.How many exercises did he solve?
Answer:
13 exercises
Step-by-step explanation:
The number of exercises in the exam = 20
The points received for questions solved correctly = 8 points
The points taken off for exercises solved wrong = 5 points
The number of points Ben has = 13 points
Let 'c' represent the number of exercises he solved correctly and let 'w' represent the number of exercises he solved wrong, we have;
0 < c + w ≤ 20...(1)
8·c - 5·w = 13...(2)
Given that 5·w has either a 0 or 5 as the unit digit, and x3 = x8 - 5, such as 13 = 18 - 5, we have that the last digit of 8·c is 8, and the last digit of 5·w is 5
The products of 8 with '8' as the unit are, 8 × 6, 8 × 11, and 8 × 16
Therefore, when c = 6, and w = 7, we get;
8 × 6 - 5 × 7 = 13
The number of exercises Ben solved, c + w = 6 + 7 = 13 < 20
When c = 11, we get;
8 × 11 - 5 × 15 = 13
11 + 15 = 26 > 20
The number of exercises Ben solved = 13 exercises
a bicycle was sold for $285 at a discount of 5% calculate the cost price of that bicycle
Answer:
Cost price = $300
Step-by-step explanation:
Let the cost price be = x
Discount % = 5%
Price after discount = $285
Find Cost price .
[tex]Price \ after \ discount = x - (5 \% \ of \ x)\\\\285 = x - \frac{5}{100}x\\\\285 = \frac{100 - 5 }{100} x\\\\95x = 285 \times 100\\\\x = \frac{28500}{95} = \$ 300[/tex]
The point (0,0) is a solution to which of these inequalities?
A.y+5<3x-4
B.y-4<3x-5
C.y-5<3x-4
D.y+5<3x+4
helppp plsss 1 hr left
Answer:
the first one should be correct
Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
Answer:
[tex]x =5\sqrt 3[/tex]
Step-by-step explanation:
Given
See attachment for triangle
Required
Find x
To do this, we make use of Pythagoras theorem
[tex]x^2 + 5^2 = 10^2[/tex]
Solve the exponents
[tex]x^2 + 25 = 100[/tex]
Collect like terms
[tex]x^2 =- 25 + 100[/tex]
[tex]x^2 =75[/tex]
Take square roots
[tex]x =\sqrt{75[/tex]
Expand
[tex]x =\sqrt{25*3[/tex]
Split
[tex]x =\sqrt{25}*\sqrt 3[/tex]
[tex]x =5\sqrt 3[/tex]
14. A polygon ABCD is inscribed in a circle. Find angle ABC
15. A polygon GHIJ is inscribed in a circle if GHI=76 and HIJ=66 what is IJG
Answer:
m<ABC = 100degrees
m<IJG = 104degrees
Step-by-step explanation:
14. The sum of the opposite angle of the quadrilateral is 180degrees. Hence;
m<ADC + m<ABC = 180
3y+8+4y+4 = 180
7y + 12 = 180
7y = 180 - 12
7y = 168
y = 168/7
y = 24
Get <ABC
m<ABC = 4y+4
m<ABC = 4(24) + 4
m<ABC = 96 + 4
m<ABC = 100degrees
15. Similarly for this;
GHI + IJG = 180
76 + m<IJG = 180
m<IJG = 180 - 76
m<IJG = 104degrees
-x^2 = - 36 (solve using inverse operations)
Answer:
x = ±6
Step-by-step explanation:
-x^2 = - 36
Divide each side by -1
x^2 = 36
Take the square root of each side
sqrt(x^2) = sqrt(36)
x = ±6
In the decimal number 3.105, the digit in the hundredths place is a 5?
True
False
Answer:
False cuase 5 is in thousands
4,-7 -1,5 what’s the midpoint
Answer:
(4, 5) Midpoint
Step-by-step explanation:
Need- What is a midpoint of the line segment?
Solution:
Midpoint: x,m , y,m = ([tex]\frac{x {a +x b } }{2}[/tex]) ,( [tex]\frac{y, a + y b}{2}[/tex])=( [tex]\frac{0 +8 }{2}[/tex] ) , ( [tex]\frac{2 + 8 }{2}[/tex]) = [tex]\frac{8}{2} , \frac{10}{2}[/tex] Midpoint segment - ([tex]x_{m} , y_{m}[/tex]) = (4,5)Which radical expression, when simplified, equals -8?
Answer:
Where are the radical expressions?
Step-by-step explanation:
please help me i have geo finals
Answer:
x = 8
Step-by-step explanation:
Given 2 intersecting chords.
Then the product of the parts of one chord is equal to the product of the parts of the other chord, that is
14(2x + 2) = 12(2x + 5) ← distribute parenthesis on both sides
28x + 28 = 24x + 60 ( subtract 24x from both sides )
4x + 28 = 60 ( subtract 28 from both sides )
4x = 32 ( divide both sides by 4 )
x = 8
Which of the following does (square root f^2) simplify to, for any nonnegative real number f?
Answer:A
Step-by-step explanation:
35 into binary number
Answer:
35 in binary is 100011.
Step-by-step explanation:
To find decimal to binary equivalent, divide 35 successively by 2 until the quotient becomes 0.
Ramesh went from place A to place B and then from place B to place CA is 10.8 km from B and place B is 15.5 km from place C, Rahul went from place A to place D and then place D to place C, distance between place A and D is 11.7 km and distance between place D and place C is 18.2 km, Who travelled more distance and by how much, also calculate the total distance between place A and place D and express the total distance in M,CM and KM.
Answer:
Part A
Rahul by 3.6 km
Part B
The distance between A and D, through place C, d are;
The distance between A and D in meters, m = 44,500 m
The distance between A and D in centimeters, cm = 4,450,000 cm
The distance between A and D, in kilometers, km = 44.5 km
Step-by-step explanation:
Part A
The details of the journeys are;
The distance of A from B = 10.8 km
The distance of B from C = 15.5 km
The total distance Ramesh traveled, d₁ = The distance of A from B + The distance of B from C
Therefore;
d₁ = 10.8 km + 15.5 km = 26.3 km
The total distance Ramesh traveled, d₁ = 26.3 km
The distances of the journey of Rahul is as follows;
The distance between place A and D = 11.7 km
The distance between place D and C = 18.2 km
The total distance Rahul traveled, d₂ = The distance between place A and D + The distance between place D and C
d₂ = 11.7 km + 18.2 km = 29.9 km
The total distance Rahul traveled, d₂ = 29.9 km
Therefore, given that d₂(29.9 km) > d₁(26.3 km), Rahul travelled more distance than Ramesh
The difference between the distance Rahul travelled and the distance Ramesh travelled, d₂ - d₁ = 29.9 km - 26.3 km = 3.6 km
Therefore;
Rahul travelled more distance than Ramesh by 3.6 km
Part B
The total distance from place A to place D through place C, d₃, is given as follows;
d₃ = The distance from A to B + The distance from B to C + The distance from C to D
∴ d₃ = 10.8 km + 15.5 km + 18.2 km = 44.5 km
The total distance from place A to place D, d₃ = 44.5 lm
The total distance from place A to place D in meters, m = 1000 m/km × 44.5 km = 44,500 m
The total distance from place A to place D in cm = 100 cm/m × 44,500 m = 4,450,000 cm
I need help!!! Parallel lines p and q are cut by two non parallel lines m and n as shown in the figure the value of x is degrees and the value of y is degrees
Answer:
x = 78° , y = 115°
Step-by-step explanation:
The angle adjacent to x on the left side is corresponding to 102° , then
x = 180° - 102° = 78°
----------------------------------------
y and 115° are corresponding angles and congruent, then
y = 115°
What is the purpose of using a scatterplot? Check all
that apply.
O to organize bivariate data
to plot points to connect a line
to plot points for two sets of data
O to compare dependent and independent variables
O to visualize relationships between data
O to find slope between two variables
Answer:
to organize bivariate data
to plot points to two sets of data
to compare dependent and independent variables
to visualize relationships between
Step-by-step explanation:
George earned $3,200 for one month of work. He paid $640 in income tax for the month. What percent tax did he pay? (Ignore the percent sign when gridding your answer.
Answer:
He paid $640 out of his total $3,200 for the month.
As a fraction it is (640/3200) which equals (1/5)
We want it as a percentage so we multiply the fraction by 100.
1/5×100=20%
20% is the final answer.
Simplify the expressions. 3p+-q-7r--8p-q+2r
Answer:
=11p-5r
Step-by-step explanation:
3p+(-q)-7r-(-8p)-q+2r=
3p-q-7r+8p-q+2r=
3p+8p-q-q-7r+2r=
11p-5r=
Please help me with this question.
Answer:
[tex]80\text{ square miles}[/tex]
Step-by-step explanation:
Since the map is using a scale of 1 inch : 5 miles, to find the scale of square inches to square miles, square the ratio:
[tex]\implies 1\text{ square inch}:25\text{ square miles}[/tex]
Since the section of land has an area of 3.2 square inches, the actual area of the section of land must be [tex]3.2\cdot 25=\boxed{80\text{ square miles}}[/tex]
A bus completed a journey of 98 km in 140 minutes. Calculate the average speed, in kilometres per hour, for this journey.
Answer:
hope you like it
Step-by-step explanation:
at first change minutes to hour and calculate by dividing 98 to specific hour
In a group of students, every student needs to make a bookmark for each of their groupmates. If the total bookmarks made is 42, how many students are there in this group?
7
Hope this helps! :)
______________
Answer:
very easy there are 42 students because every student needs a bookmark for each of their groupmates
Help me plssss? Thanks
Answer:
B
Step-by-step explanation:
HELPPP ME PLEASEEEE asappp
Answer:
B.) √3/2
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
For questions like this I recommend memorizing the Unit Circle, but for the sake of calculations here's how I do it using a calculator
cos(30) = 0.866025.....
So now I'll just go through the answers and see which is equivalent
A= 1.73...
B= 0.866025....
C=0.57735....
D=0.5
E=0.7071.....
F=1
You can see that B is equivalent.
Use the tax table to help answer the following question.
A 9-column table with 7 rows is shown. Column 1 is labeled If the wages are at least with entries 720, 740, 760, 780, 800, 820, 840. Column 2 is labeled But less than with entries 740, 760, 780, 800, 820, 840, 860. Column 3 is labeled And the number of withholding allowances is 0, the amount of income tax withheld is, with entries 80, 83, 86, 89, 92, 95, 98. Column 4 is labeled And the number of withholding allowances is 1, the amount of income tax withheld is, with entries 62, 65, 68, 71, 74, 77, 80. Column 5 is labeled And the number of withholding allowances is 2, the amount of income tax withheld is, with entries 44, 47, 50, 53, 56, 59, 62. Column 6 is labeled And the number of withholding allowances is 3, the amount of income tax withheld is, with entries 26, 28, 31, 34, 37, 40, 43. Column 7 is labeled And the number of withholding allowances is 4, the amount of income tax withheld is, with entries 14, 16, 18, 20, 22, 24, 26. Column 8 is labeled And the number of withholding allowances is 5, the amount of income tax withheld is, with entries 1, 3, 5, 7, 9, 11, 13. Column 9 is labeled And the number of withholding allowances is 6, the amount of income tax withheld is, with entries 0, 0, 0, 0, 0, 0, 1.
Luce is single and making $763 biweekly. She claims no federal withholding allowances. If the state tax is 19% of the federal tax, how much in state tax does Luce contribute? a.
$12.92
b.
$15.13
c.
$15.77
d.
$16.34
Answer: d. $16.34
Step-by-step explanation:
The table shows that if the wages are between 760 and 780 and there are no withholding allowances, the federal tax is $86.
Luce therefore has a federal tax of $86 as she falls in the bracket described.
If state tax is 19% of this, state tax is:
= 19% * 86
= $16.34
The amount of state tax which is contributed by the Luce for the no federal withholding allowances is $16.34.
What is federal income tax?Federal income tax is the tax which is used to develop and run the city or country and charged on the citizen residing there .
A 9-column table with 7 rows is given in the prooblem.
Luce is single and making $763 biweekly. She claims no federal withholding allowances.
This amount is come between the values of $760 and $780. If we look into the table provided into the problem, the federal tax for this slab is $86.
Now the state tax is 19% of the federal tax. Thus, the 19 percent of the federal tax $86 is,
[tex]\rm tax=86\times\dfrac{19}{100}\\tax=16.34[/tex]
Thus the amount of state tax which is contributed by the Luce for the no federal withholding allowances is $16.34.
Learn more about the federal income tax here;
https://brainly.com/question/25504589
please please help me I have a test I need to take! Answer the following questions about the centroid of this triangle!!!!
Answer: I am sorta answering this on my alt, just move along
Step-by-step explanation:
The whole lenght is the short length 9 and the long length 18 added.
what is the value of the expression below?
Answer:
C
Step-by-step explanation:
Using the rule of exponents/ radicals
[tex]a^{\frac{1}{2} }[/tex] = [tex]\sqrt{a}[/tex] , then
[tex]121^{\frac{1}{2} }[/tex] = [tex]\sqrt{121}[/tex] = 11 → C
The equation 3x² - 4x + 6 = 0 has the roots α and β . Find the new equation with the roots (α/β²) and (β/α²) .
Answer:
[tex]{ \tt{sum = \alpha + \beta = \frac{4}{3} }} \\ { \tt{product = \alpha \beta = \frac{6}{3} = 2}} \\ \\ new \: roots : \\ { \bf{sum = \frac{ \alpha }{ { \beta }^{2} } + \frac{ \beta }{ { \alpha }^{2} } }} \\ \\ { \bf{ = \frac{ { \beta }^{2} \alpha + { \alpha }^{2} \beta }{ { (\alpha \beta )}^{2} } }} \\ \\ = { \bf{ \frac{ \alpha \beta ( \alpha + \beta )}{ {( \alpha \beta )}^{2} } }} \\ \\ = { \tt{ \frac{2( \frac{4}{3}) }{2 {}^{2} } }} \\ \\ sum = \frac{2}{3} \\ \\ { \bf{product = \frac{1}{ \alpha \beta }}} \\ = \frac{1}{2} \\ \\ { \boxed{ \tt{equation : {2x}^{2} + \frac{4}{3} x + 1 }}}[/tex]
I need help in this (￣▽￣)
Answer:
Step-by-step explanation:
a=-2.9
b=-2 5/8=-21/8=-2.625
c=-7/3=-2.333333
what is 11010^2 - 1101^2
Answer:
-120,007,899
Step-by-step explanation:
Given :
[tex]11010^{2} -1101^{2}[/tex]
It can be solved as :
[tex]11010^{2} -1101^{2}[/tex]
121,220,100-1212201
-120,007,899
Therefore, answer will be -120,007,899
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{11,010^2 - 1,101^2}[/tex]
[tex]\mathsf{11,010^2}[/tex]
[tex]\mathsf{= 11,010 \times 11,010}[/tex]
[tex]\mathsf{= \boxed{\bf 121,220,100}}[/tex]
[tex]\mathsf{\bold{121,220,100} - 1,101^2}[/tex]
[tex]\mathsf{1,101^2}[/tex]
[tex]\mathsf{= 1,101 \times 1,101}[/tex]
[tex]\mathsf{= \boxed{\bf 1,212,201}}[/tex]
[tex]\mathsf{121,220,100 - \bf 1,212,201}[/tex]
[tex]\mathsf{= \boxed{\underline{\bf 120,007,899}}}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: \underline{\bf 120,007,899}}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]