Answer: .98
Step-by-step explanation:
Oliver earns an hourly wage, as shown in the graph. In addition to his hourly wage, he is eligible for bonuses. If he received a $100 bonus award for his performance and worked 20 hours, how much did he earn?
Oliver earns a total of $260.
What is Ratio?When the second number in the ordered pair, b, is not equal to 0, the ratio is expressed as a/b. An equation in which two ratios are made equal is known as a percentage.
Given, In the graph, Oliver is depicted as having hourly pay. He is qualified for bonuses in addition to his hourly pay. If he put in 20 hours of effort and received a $100 performance bonus. equation of this line:
y = kx +c
since this line goes through the origin point. Constant (c) will be zero.
At the point (1, 8 ) k = 8
Hence, Y = 8x
Because hours worked are 20
earning = 8 * 20 = 160
Total earnings = 100 + 160 = 260
Therefore, the Total money that Oliver earns is $260.
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A cylinder with a radius of 6cm and height of 15 cm has a cylindrical cut out of the
middle of it with a radius of 5 cm.
Find the volume of the cylinder that remains, rounded to the nearest whole number.
Answer:
[tex]V = 518cm^3[/tex]
Step-by-step explanation:
Given
[tex]h = 15cm[/tex]
[tex]R = 6cm[/tex]
[tex]r =5cm[/tex]
Required
The volume of the remaining cylinder
Before the cut-out, the cylinder has a volume (V) of:
[tex]V = \pi R^2h[/tex]
After the cut-out, the cylinder has a volume of:
[tex]V = \pi [R^2 -r^2]h[/tex]
So, we have:
[tex]V = 3.14* [6^2 -5^2]*15[/tex]
[tex]V = 3.14* [36 -25]*15[/tex]
[tex]V = 3.14* 11*15[/tex]
[tex]V = 518cm^3[/tex]
I'll give branliest! please help!!
Answer:
Step-by-step explanation:
So we know angles A and B add up to 180 degrees.
This gives us x+2 + 2x+4
We can simplify this to 3x+6 = 180
3x = 174
x=58
Now we know value of X, we can use it to find A's angle
Since, a = x + 2
a = 60
Solving equations:
(a) 5x - 9 = 3x + 3
(b) x + 6 = 34 - x
Answer:
a) 5x - 9 = 3x + 3
5x - 3x = 3 + 9
2x = 12
x = 12 / 2
x = 6
b) x + 6 = 34 - x
x + x = 34 - 6
2x = 28
x = 28 / 2
x = 14
[tex] \: (a)5x - 9 = 3x + 3 \\ 5x - 9 - 3x = 3 \\ 2x - 9 = 3 \\ 2x = 3 + 9 \\ 2x = 12 \\ x = \frac{12}{2} \\ x = 6 \\ (b) \: x + 6 = 34 - x \\ x + 6 + x = 34 \\ 2x + 6 = 34 \\ 2x = 34 - 6 \\ 2x = 28 \\ x = \frac{28}{2} \\ x = 14[/tex]
HOPE IT HELPS!!!I NEED BRAINLIEST ✌️ PLZGiven a quadratic function, y = ax + bx+c, what happens to the graph when "a" is positive?
a. the parabola opens down, the vertex is the C. the parabola opens up, the vertex is the
maximum value
maximum value
b. the parabola opens down, the vertex is the d. the parabola opens up, the vertex is the
minimum value
minimum value
Answer:
d
Step-by-step explanation:
it is opened up because the voeff of X^2 tetm is positive
Please help me this is due in 5 mins!!!
Answer: Perimeter: 28 units
Area: 32 square units
Step-by-step explanation:
Answer:
Perimeter = 24
Area =32
Step-by-step explanation:
To find the perimeter, add up the number of outside edges
4+ 2+2+2+2+2+4+2+2+2+2+2 =24 units
To find the area, count the number of boxes in each row
4 + 4+ 8+8+4+4 = 32 units^2
help
PLEASE HEPP ME PLEASE
Answer:
Step-by-step explanation:
VOLUME...
1) π*r^2*h
π*(2.5)^2 *h
(π)*(2.5)^2* 6
= 117.8
2) π*r^2*h + 1/2 *[(4/3) · π · r3]
(π)*(3)^2* 3 + 1/2 *[(4/3) · π · 3^3]
84.8+ 56.5 = 141.41
3) (1/3) π*r^2*h
(1/3) π*3^2*h
3^2 + h^2 = 36
h = sqrt(27) = 5.1
(1/3) π*3^2*5.1
= 48.06
~~~~~~~~~~~~~~~~~~~~~~~~~~~
Height of 1/2 of glass #2
84.8+ 56.5 = 141.41
thus 1/2 of #2 = 70.5
70.5 - 56.6 = 14 (all of 1/2 sphere filled plus 14 into cylinder)
14/[(π)*(3)^2* 3]= .16 of the cylinder... 3*(0.16) = .48
total height = 3.48
x^2-10x=1 Solve by completing the square
Answer:
x = 5±sqrt(26)
Step-by-step explanation:
x^2-10x=1
Take the coefficient of x
-10
Divide by 2
-10/2 = -5
Square it
(-5)^2 = 25
Add this to both side
x^2-10x+25=1+25
(x-5)^2 = 26
Take the square root of each side
sqrt((x-5)^2) = ±sqrt(26)
x-5 = ±sqrt(26)
Add 5 to each side
x = 5±sqrt(26)
Answer:
-0.0990195 and 10.09902
Step-by-step explanation:
To complete the square, the same value needs to be added to both sides
x^2-10x+?=1+?
To complete the square x^2-10x+25=(x-5)^2 add 25 to the expression.
x^2-10x+25=1+?
Since 25 was added to the left-side, you need to add it to the right-side as well.
x^2-10x+25=1+25
use a^2-2ab+b^2=(a-b)^2 to factor this expression.
(x-5)^2=1+25
Then add the numbers together.
(x-5)^2=26
Solve for x.
x1=-squareroot26+5
x2=squareroot26+5
therefore you have 2 solutions
x1=-squareroot26+5
=-0.0990195
and
x2=squareroot26+5
=10.09902
Área de Cuadriláteros
¿Me pueden ayudar con esta tarea?
Answer:
I can't understand this language sorry
4days : 2 weeks simplify
Answer:
2:7
Step-by-step explanation:
ratio as a fraction in simplest form. 2 weeks = 14 days, so 4/14 = 2/7.
Answer:
2 : 7
Step-by-step explanation:
7 days = 1 week
y days = 2 weeks
[tex]\frac{1}{7} :\frac{2}{y}[/tex]
1 × y = 2 × 7
y = 14
4 days : 14 days
4 = 2 × 2
14 = 2 × 7
GCF = 2
4 ÷ 2 = 2
14 ÷ 2 = 7
2 : 7
hey yall heres another question i need the answer to ASAP !!!!!
Type the correct answer in each box.
The volume of a cube is given by and the total surface area of a cube is given by , where s is the side length of the cube.
If the side length of a cube is 5 inches, the volume of the cube is ??? cubic inches and its total surface area is ??? square inches.
the question marks stand for where the answers should go.
Answer:
girth is better than length. your welcum ;)
Name the marked angle in 2 different ways.
Answer:
angle TVU
Step-by-step explanation:
angle UVT
please mark as brainliest
Put these numbers in order from least to greatest.
9.5,9 3/10, and 9.9
Grahsm and Ahir share £30 in the ratio 3 : 1. Work out how much money Graham gets?
Answer:
Graham gets 3/4 of the money, or £22.50 and Ahir gets 1/4 of it: £7.5.
Step-by-step explanation:
Add 3 and 1: 3 + 1 = 4.
Then Graham gets 3/4 of the money, or £22.50 and Ahir gets 1/4 of it: £7.5.
Check: is the ratio
£22.5
---------- equal to 3:1? YES
£7.5
Do £7.5 and £22.5 sum up to £30? YYES
---------- =
-----
What is the value for x?
69
(5x + 2)
Enter your answer in the box
(9y-3)
Answer:
[tex]5x + 2 \\ x = 5 - 2 \\ x = 3 \\ \\ 9y - 3 \\ y = 9 + 3 \\ y = 12[/tex]
HELP THIS IS MY LAST ASSIGNMENT FOR MATH
Answer:
Decompose each number:
\begin{gathered}6) 90 = 9 \times 10\\\\7) 40 = 4 \times 10\\\\8)890 = 89 \times 10\\\\9) 300 = 3 \times 100\\\\10) 7000 = 7 \times 1000\\\\11)3700 = 37 \times 100\\\\\end{gathered}
6)90=9×10
7)40=4×10
8)890=89×10
9)300=3×100
10)7000=7×1000
11)3700=37×100
Correct the error. Write the correct decomposition:
\begin{gathered}12) 560 = 56 \times 10\\\\13) 4300 = 43 \times 100\\\\14) 6000 = 60 \times 100 \ \ or \ \ 6 \times 1000\end{gathered}
12)560=56×10
13)4300=43×100
14)6000=60×100 or 6×1000
What is the domain to this graph
Answer:
x > 0
Step-by-step explanation:
The domain of the graph are all the possible values of x. Since the graph never touches the negative part of the graph, x will always be greater than 0. Thus, x > 0 meaning x will be greater (not equal to) 0.
Given g(x) = |2x + 1), find the values of x if g(x)=5
Answer: 11
Step-by-step explanation:
g(x)=(2x+1)
g(x)=5
g(5)=2(5)+1
=10+1
g(5) =11
Help I’m stuck!!!! Solve the equation below for x. Enter your answer as a fraction in lowes
terms, using the slash mark (/) as the fraction bar. 4/21 + 2/9
X=
Answer:
26/63
Step-by-step explanation:
Try to make the denominators equal so that you can add them:
4(3)/21(3)= 12/63
2(7)/9(7)= 14/63
And now you add, which will give you:
12/63 + 14/63= 26/63
you have five dollar bills and ten dollars bills for a total amount of $325. you have a total of 37 bills. A) write a system of linear equations that models the situation. B) how many of each type of bill do you have?
Answer:
nine $5 bills and twenty-eight $10 bills
Step-by-step explanation:
f = # of five dollar bills
t = # of ten dollar bills
system of equations:
t + f = 37
10t + 5f = 325
solve the first equation for 't' to get:
t = 37-f
substitute '37-f' to 't' in second equation to get:
10(37-f) + 5f = 325
370 - 10f + 5f = 325
-5f = -45
f = 9
t + 9 = 37
t = 28
Which function's graph has a period of 2?
O A. y = cos -
y = cos(x - 22
O B. y = 2 sinax
O C. y = 3cosx
O D. y = -4 sin 2x
Answer:
I BELIEVE ITS C {^_^}
Step-by-step explanation:
The trigonometric function y = 3cos(πx) has a period 2.
What are periodic functions?A periodic function has a range that is determined for a fixed interval and a domain that includes all real number values.
Any function that has a positive real integer p such that f (x + p) = f (x), with all x being real values, is said to be periodic.
a is the function's amplitude.
The function's wavelength is b.
The phase shift of a function is c.
We already know that y = cosx has a 2 period.
The period is calculated as T= 2π/b and if T = 2.
y = 3cosx
2=2π/b
b= 2π/2 = π.
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10 points to answer this question. Determin the numerical length of VW.
Answer:
9
Step-by-step explanation:
4x-7 + 3x = 5x -1
7x - 7 = 5x +1
2x = 8
x = 4
VW = 4x - 7
= 4(4) - 7
= 16-7
= 9
Class width is 2
Find mode
Answer:
7.22
Step-by-step explanation:
solved in the diagram
PLEASE HELP: Click on the graph to choose the correct answer to the equation.
x + y > 0
(the ones with multiple are all separate I just couldn't attach all.)
Answer:
It's the third one, I hope so. y<1/2x
Step-by-step explanation:
I hope this helps. :)
Solve the simultaneous equations
x + 7y = 15
x + 2y = 5
Answer:
x=1, y=2
Step-by-step explanation:
x + 7y = 15
x + 2y = 5
Subtract the two equations
x + 7y = 15
-x - 2y =- 5
------------------------
0x +5y = 10
Divide by 5
5y/5 = 10/5
y =2
Now find x
x+2y = 5
x +2(2) = 5
x +4 = 5
Subtract 4 from each side
x-4+4 = 5-4
x = 1
The screen at Dallas' AT&T Stadium is 175 feet wide. A movie theatre screen with
similar dimensions is 40 feet wide with a screen area of 896 Ft. What is the area of
the screen at AT&T Stadium? Round to the nearest square foot.
Answer:
17150 ft²
Step-by-step explanation:
Given the ratio of sides = a : b , then
ratio of areas = a² : b²
Here ratio of sides = 175 : 40 = 35 : 8 , then
ratio of areas = 35² : 8² = 1225 : 64
let x be the area of AT & T Stadium then by proportion
[tex]\frac{x}{1225}[/tex] = [tex]\frac{896}{64}[/tex] ( cross- multiply )
64x = 896 × 1225 = 1097600 ( divide both sides by 64 )
x = 17150
The AT & T screen has an area of 17150 ft²
If AD is 10 inches long BD is 6 inches long
Answer:
AB = 8 inches
Step-by-step explanation:
given :
AD = 10 inches
BD = 6 inches
AB = ?
using pythagoras theorem
a^2 + b^2 = c^2
BD^2 + AB^2 = AD^2
6^2 + AB^2 = 10^2
36 + AB^2 = 100
AB^2 = 100 - 36
AB^2 = 64
AB = [tex]\sqrt{64[/tex]
AB = 8
The length of the AB in the given triangle ADC such that A-B-C and DB ⊥ AC is equal to 8 inches.
In the figure of triangle ADC ,
DB is perpendicular to AC such that A- B- C.
Measure of angle CBD = 90 degrees
This implies,
As angle ABD and CBD are linear pair
⇒ Measure of angle CBD + Measure of ABD = 180°
⇒ 90° + Measure of ABD = 180°
⇒ Measure of ABD = 180° - 90°
⇒ Measure of ABD = 90°
Now triangle ABD is right angle triangle,
AD = 10 inches
BD = 6 inches
By applying Pythagoras theorem we have,
AB² + BD² = AD²
⇒ AB² = AD² - BD²
⇒ AB² = 10² - 6²
⇒ AB² = 100 -36
⇒ AB² = 64
⇒ AB = √64
⇒ AB = 8 inches
Therefore, the length of the AB is equal to 8 inches.
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There is a bag filled with 5 blue and 6 red marbles.
Marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 reds?
thanks,
Answer:
[tex](\frac{6}{11} )*(\frac{6}{11} )[/tex] = 36/121 =.297
Step-by-step explanation:
Answer:
36/121
Step-by-step explanation:
We have 5+6 = 11 marbles
P(red) = number of red/ total = 6/11
We replace the marble so we still have 11 marbles
P(red) = number of red/ total = 6/11
P(red, red) = 6/11*6/11 = 36/121
If U = {x: X € N, 1 < × < 15)
A= {x:x is multiple of 2}
B = {x: x is multiple of 3
C = {x: x is multiple of 5)
verify the following
(a) A(BnB)=(AUB)(AUB)
(b) An(BUC)=(AnB)u(Ang)
(c) AU(BUC)=(AUB)U(AUC)
Answer:
Step-by-step explanation:
Given:
U = {x: X € N, 1 < × < 15) = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}
A = {2,4,6,8,10,12,14}
B = {3,6,9,12,15}
C = {5,10,15}
(a) Verify A(BnB)=(AUB)(AUB)
A U (B n B)
= {2,4,6,8,10,12,14} U ( {3,6,9,12,15} n {3,6,9,12,15} )
= {2,4,6,8,10,12,14} U {3,6,9,12,15}
= {2,3,4,6,8,9,10,12,14,15}
( A U B) n (A U B)
= {2,3,4,6,8,9,10,12,14,15} n {2,3,4,6,8,9,10,12,14,15}
= {2,3,4,6,8,9,10,12,14,15}
Therefore
A U (B n B) = ( A U B) n (A U B)
verifies
(b) Verify An(BUC)=(AnB)u(AnC)
A n ( B U C)
= {2,4,6,8,10,12,14} n ( {3,6,9,12,15} U {5,10,15} )
= {2,4,6,8,10,12,14} n {3,5,6,9,10,12,15}
= {6,10,12}
( A n B ) U ( A n C )
= ( {2,4,6,8,10,12,14} n {3,6,9,12,15} ) U ( {2,4,6,8,10,12,14} n {5,10,15} )
= {6,12} U {10}
= {6,10,12}
Therefore
A n ( B U C) = ( A n B ) U ( A n C )
verifies
(c) Verify AU(BUC)=(AUB)U(AUC)
AU(BUC)
= {2,4,6,8,10,12,14}U{3,6,9,12,15}U{5,10,15}
= {2,3,4,5,6,8,9,10,12,14,15}
(AUB)U(AUC)
= ({2,4,6,8,10,12,14}{3,6,9,12,15})U({2,4,6,8,10,12,14}U{5,10,15})
= {2,3,4,6,8,9,10,12,14,15}U{2,4,5,6,8,10,12,14,15}
= {2,3,4,5,6,8,9,10,12,14,15}
Therefore
AU(BUC)=(AUB)U(AUC)
verifies
Please help!!! I don’t know how to do this
Answer:
O C. x = 3
Step-by-step explanation:
If a line is parallel to y-axis, the equation of the line is x = constant because it is at a constant distance from y-axis. so for the given question, x = 3 is the equation of the line passing through (3,2).
