Answer:
a= $1,068 without overtime pay
b= $1,122 with overtime pay
Step-by-step explanation:
[tex]a = (12 \times 49) + (12 \times 40) \\ = 1068[/tex]
[tex]b = (9(12 \times 1.5) + (12 \times 40)) + (12 \times 40)\\ = 1122[/tex]
Write a function representing the line that includes the points (2,18) and (5,36).
Answer:
Step-by-step explanation: Find the y-intercept. Write the equation in slope-intercept form. Write an equation of the line that passes through each pair of points. 5. (4, −3), (2, 3)
y=6x+6 is the function representing the line that includes the points (2,18) and (5,36).
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given two points are (2,18) and (5,36).
m=36-18/5-2
=18/3=6
slope of line is 6.
Now we need to find the equation of line passing through (2,18) and (5,36).
We need to find the y intercept.
18=6(2)+c
18=12+c
18-12=c
6=c
So y intercept is 6
The equation of line is y=6x+6
Hence y=6x+6 is the function representing the line that includes the points (2,18) and (5,36).
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12 circles to 8 squares simplified is what
Which value of y makes the equation y+4.2=21 true?
Answer:
16.8
Step-by-step explanation:
21-4.2= 16.8
if 21 and 35 are two members of a pythagorean triple, what is the third member?
Answer:
28
Step-by-step explanation:
21^2+28^2=35^2
The third number of the Pythagorean triplet as c = 40.82.
What is Pythagorean triplet? What is a mathematical function, equation and expression? Pythagorean triplet : A Pythagorean triplet consists of three positive integers a, b, and c, such that a² + b² = c².function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that 21 and 35 are two members of a Pythagorean triplet.
We can write the Pythagorean triplet as -
a² + b² = c²
c² = a² + b²
c² = (21 x 21) + (35 x 35)
c² = 441 + 1225
c² = 1666
c = √1666
c = 40.82
Therefore, the third number of the Pythagorean triplet as c = 40.82.
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California Cafe has a maximum capacity of
45 customers. If there are currently 27
customers in the cafe, how many more
customers can they seat?
Nancy and Bill collect coins. Nancy has x coins. Bill has 3 coins fewer than five times the number of coins Nancy has. Write and simplify an expression for the total number of coins Nancy and Bill have.
..........................................
3x+1
can you solve it
Answer:
donwload the gautmaht this is very powerful calculatorplease answer the two question and how you answered it NO LINKS AND NO WEBSITES I really need help with this.
Answer:
x=10, y=-1
Step-by-step explanation:
x-y=11
2x+y=19
3x=30
x=10
10-y=11
-y=1
y=-1
USED ELIMINATION BC THERE WAS ALREADY A Y AND -Y
We need a minimum of 30 book sales by today. If 10 books were sold yesterday, what are the possible numbers for sales today
A.b> 20
B. b> 10
C.b> 30
D.b> 20
I mean it would be A and D because I don't know why they are both the same answer. If 10 books were sold yesterday, at LEAST 20 are needed to make the goal.
moira solved rubik's cube in 3 minutes and 30 seconds. what is moira's solving rate?
In the context of rubiks cube solving the rate at which one can solve a rubiks cube is determined by the number of cubes solved and the time taken
In this question we were told that moira solved a rubiks cube in 3 minutes 30 seconds
Let us convert time total time to seconds
3 minutes 30 in seconds = 3*60+ 30 = 180+30 = 210 seconds
Hence Moira rate = 1 rubiks cube/210 seconds
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Replace the emojis with the correct numbers! Each emoji is worth the same amount each problem. (Example: Snowman is worth the same in each problem)
☃️ + ⭐ = 20
+ ☃️ = 8
⭐ = ?
HeLpPPpppPpPppPpppPpPPp
The base area of a box is 36 square inches. If the volume of the box is 108 cubic inches, what is the height of the box?
The height of a box that has a base area of 36 sq. in. and a volume of 108 cubic inches is: 3 inches.
Recall:
The formula for the volume of a box = base area × height
Given the following dimensions:
base area of box = 36 sq. in.
Volume = 108 cubic inches.
Required: height of the box
Plug in the given values into the formula for the volume of a box
108 = 36 × height
Divide both sides by 36
height = 108/36
height = 3 inches
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If 21 and 35 are two members of a Pythagorean triple, what is the third member?.
The third member of the Pythagorean triple is 28 and this can be determined by using the Pythagorean theorem.
Given :
21 and 35 are two members of a Pythagorean triple.
The following steps can be used in order to determine the third member of the Pythagorean triple:
Step 1 - The Pythagorean theorem can be used in order to determine the third member of the Pythagorean triple.
[tex]H^2 = P^2+B^2[/tex]
where the hypotenuse is H, the perpendicular is P, and the base is B of the right-angle triangle.
Step 2 - Now, substitute the value of H and P in the above expression in order to determine the value of 'B'.
[tex]35^2 = 21^2+B^2[/tex]
Step 3 - Simplify the above expression.
[tex]B^2= 784[/tex]
[tex]B = 28[/tex]
So, the third member of the Pythagorean triple is 28.
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PLEASEE HELP !!! 30 POINTSSS
What are the exact measures of the other two sides of the triangle? Use special right triangles ratios and
show your work
Answer:
30-60-90 is a special right triangle
if the side opposite to the 30 degree angle = x,
then the side opposite to the 90 degree angle = 2x
and the side opposite to the 60 degree angle = x*sqr3
2x=14
x=7
side BC is opposite to the 30 degree angle, so it is 7 cm
side AB is opposite to the 60 degree angle, so it is 7sqr3 cm
Answer:
clearer pic?
Step-by-step explanation:
help me asap!!!!!!!!!!!!!
Answer: yes
Step-by-step explanation:
It is because for every x value there is a y and the x value does not repeat to any y values.
Answer:
No because the slope isnt constant, the y changes higher and higher while the x stays constant
Step-by-step explanation:
Hope this helps!:)
solve for c. 3c+2=-10 and thank you
Answer:
c= -4
Step-by-step explanation:
Given that:.3c+2 = -10
⇛ 3c = -10 - 2
⇛3c = -12
⇛c = -12:3 = -12/3
.°. c = -4 Ans .
Help would be appreciated!
Answer:
Half of AB which is A.F is 14 then the other half is 14 as well which would have a sum of 28, and since CD is congruent to AB that will also have a sum of 28 degrees.
(I don't know how to calculate the perimeter for the second question)
Answer:
Answer: 28
Step-by-step explanation:
A+F=14 * 2 for B and since they are congruent it would be 14*2 so 28.
Please help me
Three plus two times a number is seven less than four times a number.
What is that number?
Answer:
5
Step-by-step explanation:
3+2x = 4x-7
3+7=4x-2x
x=5
Answer:
Let the number be x
According to given conditions,
3 + 2x = 4x - 7
3 + 7 = 4x - 2x
10 = 2x
2x = 10
•°• x = 10/2
•°• x = 5
The number is 5.
A jet travels 590 miles in 5 hours at this rate how far could the jet fly in 10 hours
Answer:
1180 miles
Step-by-step explanation:
590 x 2. If 590 miles in 5 hours then in ten it would be double. 590x2=1180.
So 1180 miles
Hope this helps
Every day after school, Albert and his sister Valentina play their favorite video game, Wizarding Legends. The goal of the game is to earn power points by defeating goblins. There is a proportional relationship between the number of goblins defeated, x, and the number of power points earned, y.
Answer:
So um what's the question?
Step-by-step explanation:
PLEASEEEE HELPPPPPP ME
Answer:
k
Step-by-step explanation:
i will mark brainlist !!!!!!!!
Answer:
f(n)=4*2^(n-1)
f(n)=a*b^n -> 2 is the multiplier for the outputs, so b=2. 4 is the output when n=1 (all answers are to the power of n-1), so a=4
Please help!!! Which system of inequality’s is shown below???!!! Use picture below to help you! ;)
Answer:
b
Step-by-step explanation:
...
Megan draws three different diagrams to represent the sample space of flipping a coin and rolling a 6-sided die.
Drag a sample space into the row that fits the description and represents Megan's experiment.
Answer:
The explanation is given below.
Step-by-step explanation:
Given:
Two events take place.
Let event A be flipping a coin
Let event B be rolling a 6-sided die.
Now, a coin has two faces; one is head and the other is tail.
So, the possible outcomes of event A are: {H, T}
H → Head, T → Tail.
Now, a six sided die has six faces each marked with a number. The numbers marked ranges from 1 to 6.
So, the possible outcomes of event B are {1, 2, 3, 4, 5, 6}
Now, each element of set A should match with all the elements of set B.
Now, tabular form should have a row of outcomes of B and a coum of outcomes of event A. Thus,
Outcomes 1 2 3 4 5 6
H H1 H2 H3 H4 H5 H6
T T1 T2 T3 T4 T5 T6
Therefore, the organised list has the following outcomes:
H1 T1
H2 T2
H3 T3
H4 T4
H5 T5
H6 T6
Finally, the correct tree diagram is attached below.
can you me as brainliest if its right? i need 10000 points and 35 brainliest's to rank up to genius
Can anyone help me with this?
Find the range and domain of the following set:
{(-5, -5), (-3, 4), (0, 1), (2, 5)}
Question options:
{(-5, -5), (-3, 4), (0, 1), (2, 5)}
{-5, 1, 4, 5}
{-5, -3, 0, 2}
{-5, 5}
Answer:
range: {-5, 1, 4, 5}domain: {-5, -3, 0, 2}Step-by-step explanation:
The range is the set of second numbers of the ordered pairs.
{-5, 1, 4, 5}
__
The domain is the set of first numbers of the ordered pairs.
{-5, -3, 0, 2}
__
Additional comment
It is generally convenient to write the elements of a set in sorted order.
Use the drawing tools to form the correct answer on the graph.
Graph this function.
f(x) = (1/3)x + 8
Answer:
The answer is simple. Just graph like you would any normal graph
Step-by-step explanation:
Describe how to transform the graph of f(x)=x2 to obtain the graph of the related function g(x)=−2(x+1)2+1. Then draw the graph of g(x).
Answer:
to go from y=x² which has a minimum vertex at (0,0), you must shift the vertex one unit to the left and then one unit up to get a maximum vertex at (-1,1)
you can then plot points that can be created from an x-y table; such as (1,-7), (-1,1), (2,17), (-2,-1), etc
Step-by-step explanation:
First tranfer x to 1 units left .
y=(x+1)²Multiply by 2
y=2(x+1)²Flip the parabola (turn a negative)
y=-2(x+1)²Transfer y 1 units up
y=-2(x+1)²+1For the function F defined by F(x)=x2−2x+4, find F(2b−1).
Answer:
F(2b-1)=4b^2-8b+7
Step-by-step explanation:
F(x)=x^2-2x+4
F(2b-1)=(2b-1)^2-2(2b-1)+4
F(2b-1)=4b^2-8b+7
[tex]f(x) = x^2 -2x +4\\\\f(2b-1) = (2b-1)^2 -2(2b-1) +4\\\\~~~~~~~~~~~~~= (2b)^2 - 2(2b)+1 - 4b +2 +4 \\\\~~~~~~~~~~~~~=4b^2 -4b +7-4b\\\\~~~~~~~~~~~~~=4b^2 -8b +7\\[/tex]