Answer:
The third answer
Step-by-step explanation:
if p is equivalent to q then q must be equivalent to p. I’m not 100% sure but that’s my best guess. I hope this helps :)
Arturo worked a 40-hour week at $12 per hour. He then received a raise of $1 per hour and worked a 30-hour week. How much more money did he receive for the first week of work than the second?
Arturo receives $90 more in the first week of work than the second.
What are Working Hours?The time a person spends engaged in compensated work is referred to as working time.
Given,
First Week Working hours = 40 hours, per hour rate = $12
The second-week working hours = 30, per hour rate = $13 (With raise of $1)
Calculation of Wages
First Week wages = Total Weekly Hours × Per Hour rate
= 40 × 12 =$480
Second Week wages = Total Weekly Hours × Per Hour rate
= 30 × 13 =$390
The difference between the First week's wages and the Second week's wages is $90 ($480 - $390).
Thus, Arturo earn $90 more in the first week as compared to the second week.
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The scatter plot shows a correlation between the cost of a helmet and the consumer rating.
The line of regression models that correlation.
Enter a number to complete each statement.
Answer:
1. 65
2. 52
3. 13
Step-by-step explanation:
For these answers, we can look at the graph:
Question 1:
For the helmet that costs 35 dollars, we look at the x-axis until we find the helmet that aligns with 35.
Then, we look at the y-axis and find the blue dot. The blue dot is the actual consumer rating that was recorded, NOT the red line. The red line is the predicted consumer rating in correlation to the price.
Hence, the consumer rating is 65.
Question 2:
For this, we can look back at the graph and apply the same concept as above. Notice how the 65 plot is 13 points away from the point predicted by the red line.
Therefore, 65 - 13 = 52
Question 3:
Just like the last two questions, we can look at the graph for this. The green line gives us this answer flat out, displaying the distance from the actual rating to the predicted rating.
Hence, the actual consumer rating was 13 above the predicted rating.
What is the solution to 3(–3x + 9) = −18?
O x = -5
O x = 5 or x=1
O x = -5 or x = 1
no solution
Answer:
x = 5 (If solved algebraically)
No Solution (If the parentheses are absolute value lines)
Step-by-step explanation:
Result when solving this way: 3|-3x + 9| = -18
1) Divide both sides by 3
|-3x + 9| = -18/3
2) Simplify 18/3 to 6
|-3x + 9| = -6
3) Break down the problem into these 2 equations.
-3x + 9 = -6
- (-3x + 9) = -6
4) Solve the 1st equation: -3x + 9 = -6
- Subtract 1 from both sides.
-3x = -6 - 9
-Simplify -6 - 9 to -15.
-3x = -15
-Divide both sides by -3.
x = -15/-3
- Two negatives make a positive.
x = 15/3
- Simplify 15/3 to 5.
x = 5
6) Solve the 2nd equation: - (-3x+ 9) = -6
1 - Remove parentheses
3x - 9 = -6
2 - Add 9 to both sides
3x = -6 + 9
3 - Simplify -6 + 9 to 3.
3x = 3
- Divide both sides by 3.
x = 1
6) Collect all solutions.
x = 1,5
7) Check solution.
When x = 1, the original equation 3|-3x + 9| = -18 does not hold true.
We will drop x = 1 from the solution set.
8) Check solution.
When x = 5, the original equation 3|-3x + 9| = -18 does not hold true.
We will drop x = 5 from the solution set.
9) Therefore,
No solution exists.
Result when solving algebraically:
Simplifying
3(-3x + 9) = -18
Reorder the terms:
3(9 + -3x) = -18
(9 * 3 + -3x * 3) = -18
(27 + -9x) = -18
Solving
27 + -9x = -18
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-27' to each side of the equation.
27 + -27 + -9x = -18 + -27
Combine like terms: 27 + -27 = 0
0 + -9x = -18 + -27
-9x = -18 + -27
Combine like terms: -18 + -27 = -45
-9x = -45
Divide each side by '-9'.
x = 5
Simplifying
x = 5
Create a budget that will allow you to save at least $100 by the end of October.
Remember, your old budget reflected a net income of $1850.00 and included these expenses:
$600 for your rent
$475 for your car payment, car insurance, and gas
$230 for your utilities, phone, and Internet
$300 for your groceries
$50 for your entertainment
$20 for your renters insurance
$75 for discretionary spending
A final net total of $100 saved per month
Creating a New Budget to Meet Your Saving and Spending Needs
Your new budget needs to include these changes:
A new line to budget $50 per month toward a new computer
Other expenses may be modified as you choose.
A final net total of at least $300 saved per month
According to the updated budget, the net income should be at least $2100.
A budget is an estimated strategy for a certain timeframe, mostly one year. Additionally, projected material amounts, expenditures, liabilities, holdings, responsibilities, and working capital may be included.
The following list explains why the figures shown above are accurate:
The factors for the costs in the previous budget are;
Net income =$1,850.00
Cost of rent =$600
Gas, vehicle payment, and insurance together = $475.
Cost of phone, online world, and utility companies = $230.
Cost of grocery stores= $300
Cost of amusement= $50
Cost of homeowners insurance = $20.
$75 has been set aside for recreational expenditures.
Net monthly savings = $100.
Modifications to the spending plan:
$50 is the allotted sum for a computer system.
Monthly net savings = $300
∴Savings increases= $300-$100=$200
Previous net income+ cost of computer system+ 200(extra savings than previous)
= $(1850+50+200)
=$2100
So,Net earnings = $2,100
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1) Which relation is a function?
es
A) x = y² - 3
B) x = y - 4x²
C) y² = 4x - 6
D) x² = y²-10
Answer:
B
Step-by-step explanation:
x = y-4x^2 can be rearranged to get y = 4x^2 + x, which is a function
Val's whole-house central air conditioner uses 3,000 watts when running. Val runs the AC 8 hours per summer day. Electricity costs (18 cents)/(1 kilowatt-hour). How much does Val's AC cost to run for a summer month of 30 days?
Step-by-step explanation:
3x8=24
24x30=720
720÷18=40 cents
Thalia, a quiz show contestant, answered 20 questions. She was awarded 2 points for every correct answer that she gave, but she was penalized 1 point for every incorrect answer. In the end, Thalia had a total of 28 points. In order to determine the number of correct and incorrect answers that she gave, a viewer at home used the system of linear equations x + y = 20 and 2 x + y = 28, with x being the number of correct answers and y being the number of incorrect answers. The viewer solved the system by using the linear combination method as shown.
x + y = 20. + StartFraction Negative 2 x minus y = negative 28 over Negative x = negative 8 EndFraction. StartFraction negative x Over negative 1 EndFraction = StartFraction negative 8 Over negative 1 EndFraction. X = 8.
8 + y = 20. 8 + y minus 8 = 20 minus 8. y = 12.
The viewer calculated that the contestant answered 8 questions correctly and 12 questions incorrectly. What went wrong?
The viewer mistakenly determined that one of the equations in the system should be x + y = 20.Instead modifications should have been made before applying the equation.
The viewer mistakenly determined that one of the equations in the system should be 2 x + y = 28. Instead modifications should have been made before applying the equation.
The viewer multiplied the equation 2 x + y = 28 by –1 incorrectly.
The viewer added the equations x + y = 20 and Negative 2 x minus y = negative 28 incorrectly.
The viewer mistakenly determined that one of the equations in the system should be 2 x + y = 28. Instead modifications should have been made before applying the equation.
What is an Equation ?An equation is a mathematical statement formed when two algebraic expressions are equated using an equal sign.
Total Questions = 20
Total Points = 28
Correct Answers = +2 points
Incorrect Answers = -1 point
The viewer represents the correct answers with x and the incorrect ones with y.
x+y = 20
for every correct answers 2 points;
and for every incorrect answers, -1 point
This can be written as
2x-y = 28
The viewer's mistake is that; instead of subtracting total incorrect points from the correct points, the viewer added them together;
now
2x-y = 28
x+y = 20
On adding the equations
]3x = 48
x = 16
y = 4
This means that the contestant answered 16 questions correctly and 4 questions incorrectly
The viewer mistakenly determined that one of the equations in the system should be 2 x + y = 28.
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Help! Select the correct answer.
Graph the following system of inequalities. WILL GIVE BRAINLY!!
Answer:
w is the correct answer
Step-by-step explanation:
[tex]y \leqslant \frac{1}{3} x - 2[/tex]
If we choose the point (3, 0), we obtain
0 <= -1, which is not true. So we shade the region to the left of x = 4 (which is a dashed vertical line) and below
y = (1/3)x - 2 (which is a solid line).
Need help pls..........................................
Answer:
6, -2
Step-by-step explanation:
basically It asks you what's x when y=2, which on the graph is 6, -2, and -5 I think. but there is no point on the -5 so we don't need to talk about that one.
PLEASEE I BEG YOU!!!!!!
Find x and y please help
Answer:
x is 130°,y is 60°
Step-by-step explanation:
x is corresponding to 130° therefore they are equal to find y since the angle on a straight line is 180° you subtract 180 from 130 and get 50 then you have gotten the other interior angle then add both interior angles and subtract by180 then you get the y
Answer:
X = 130° Y = 60°both the lines are parallel
therefore, X= 130° ( if two lines are parallel their corresponding angles are equal)
Y + 70° = X ( sum of tow interior angle is equal to exterior)
Y + 70= 130
Y = 130 - 70
Y = 60°
Write an expression to represent:
The sum of 5 and the quotient of a
number x and 2
O 2x + 5
O 2/x - 5
O x/2 + 5
Answer:
Step-by-step explanation:
2/x-5
How would five billion, eighteen million, two hundred sixteen thousand, forty be written in standard form?
A. 5,018,216,004
B. 5,018,210,014
C. 5,018,216,040
D. 5,180,216,040
Answer:
c
Step-by-step explanation:
answer is C . First last digits are forty you will have down 2 answers
Answer:
the answer to the question is C
urgent help algebra 2
I WILL MARK 5 STARS! PLSSS FAST! At noon, the temperatures in Portland, Maine and Phoenix, Arizona had opposite values. The temperature in Portland was lower than in Phoenix. What was the temperature in each city? Explain your reasoning.
At noon, the temperatures in Portland, Maine and Phoenix, Arizona had opposite values. is mathematically given as
PoT=-PhT PhT =+PoT What was the temperature in each city?Generally, the equation for the temperature at Portland, Maine is mathematically given as
PoT=-PhT
Since Portland, Maine and Phoenix, Arizona had opposite values. The temperature in Portland was lower than in Phoenix.
In conclusion, the temperature in each city is
PoT=-PhT
PhT =+PoT
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The size of a mumps virus is
approximately 0.000 000 19 metres.
What is this value in standard form? Give
your answer in metres (m).
Answer:
[tex]1.9 \times {10}^{7} meters[/tex]
is the right answer
If you are given the graph of a line in an xyplane and its corresponding equation, you can be sure that the coordinates of every point on that line will satisfy the equation.
If the graph of a line in an x y plane and its corresponding equation is given then , all the coordinates of every point on that line will satisfy the equation is a true statement.
What is the equation for a straight line ?An equation of a straight line is given by
y = mx+c
where m is the slope and c is the intercept on y axis.
If the graph of a line in an x y plane and its corresponding equation is given then , all the coordinates of every point on that line will satisfy the equation .
Even for a scatter plot the line of the best fit is drawn and every point on the line will satisfy the equation.
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The graph of the function f(x) is shown below.
-a
If a = 9, then find the value of
3a
f(x) d
-a
f(x) dx =
a
3a
fr f(x) dx.
-a
ROUND YOUR FINAL ANSWER TO 4 DECIMAL PLACES.
2a
3a
The integral of [tex]f(x)[/tex] over the interval [tex][-a,a][/tex] corresponds to the area of a semicircle of radius [tex]a[/tex], so
[tex]\displaystyle \int_{-a}^a f(x) \, dx = \frac{\pi a^2}2[/tex]
The integral over [tex][a,3a][/tex] corresponds to the negative area of a trapezoid with height [tex]a[/tex] and base lengths [tex]2a[/tex] and [tex]a[/tex], so
[tex]\displaystyle \int_a^{3a} f(x) \, dx = -\frac{a(2a+a)}2 = -\frac{3a^2}2[/tex]
Then combining the integrals, we have
[tex]\displaystyle \int_{-a}^{3a} f(x) \, dx = \frac{\pi a^2}2 + \left(-\frac{3a^2}2\right) = \frac{(\pi-3)a^2}2[/tex]
When [tex]a=9[/tex], the integral evaluates to
[tex]\displaystyle \int_{-9}^{27} f(x) \, dx = \frac{(\pi-3)\times81}2 \approx \boxed{5.7345}[/tex][/tex]
Which statement is true about the graphs of the two lines y=-8x-5/4and y=1/8x+4/5?
The statement first "The lines are perpendicular to each other because -8 and 1/8 are opposite reciprocal of each other" is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have two lines given:
y = -8x - 5/4 ..(1)
y = x/8 + 4/5 ..(2)
Slope of the lines
m(1) = -8
m(2) = 1/8
m(1)m(2) = (-8)(1/8) = -1
Conditions for lines are perpendicular to each other.
Thus, the statement "The lines are perpendicular to each other because -8 and 1/8 are opposite reciprocal of each other" is correct.
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How much extra snow would a child need to take a snowball with a diameter of 8 cm and increase its size to a snowball with a diameter of 12 cm?
The amount of the extra snow would a child need to take a snowball will be 636.71 cubic cm.
What is the volume of the sphere?Let d be the diameter of the sphere.
Then the volume of the sphere will be
V = 1/6 πd³ cubic units
Then the amount of the extra snow would a child need to take a snowball with a diameter of 8 cm and increase its size to a snowball with a diameter of 12 cm will be
Amount of snow = 1/6 π x 12³ - 1/6 π x 8³
Amount of snow = 288 π - 85.33π
Amount of snow = 636.71 cubic cm
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A student wants to simulate 37 birthdays, but she does not have a calculator or software program available, so she makes up 37 numbers between 1 and 365. Is it okay to conduct the simulation this way? Why or why not?
It is not okay to conduct the simulation because people generally favor some numbers.
How to illustrate the information?From the information given, the student wants to simulate 37 birthdays, but she does not have a calculator or software program available.
In this case, it's not okay to conduct the simulation because people generally favor some numbers.
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Which is the graph of f(x) = 100(0.7)?
I assume you meant [tex]f(x)=100(0.7)^{x}[/tex]. The graph is shown in the image below.
Answer:
Graph A. On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).
Step-by-step explanation:
Edge
Determine the values of x and y.
Answer: x = 130, y = 130
Step-by-step explanation:
By the corresponding angles theorem, x = 130
Thus, by the vertical angles theorem, y = 130
Equation:
[tex]5 + 5 = 5x + 5 - 2[/tex]
Solve for x.
Answer:
x = [tex]\frac{7}{5}[/tex]
Step-by-step explanation:
To solve for x, we need to isolate it [get it alone on one side]
We should start by simplifying (combining the like-terms of our equation):
5 + 5 = 5x + 5 - 2
10 = 5x + 3
- 3 - 3 (subtract 3 from both sides to isolate x)
7 = 5x
÷5 ÷5 (divide both sides by 5 to find "1"x)
[tex]\frac{7}{5}=x[/tex]
So, x = [tex]\frac{7}{5}[/tex]
(x = 7/5)
hope this helps!!
5 + 5 = 5x + 5 - 2
Answer :
[tex]x = \frac{7}{5} [/tex]
Step-by-step explanation:
5 + 5 = 5x + 5 - 2
10 = 5x + 3
Take 3 to the other side
10 - 3 = 5x
7 = 5x
[tex] \frac{7}{5} = x[/tex]
or[tex]x = \frac{7}{5} [/tex]
What are the factors of this quadratic function?
Answer:
(x-1) and (x-5)
joseph drove from his summer home to his place of work. To avoid the road construction, joseph decided to travel the gravel road. After driving 20 minutes, he was 62 miles away from work, and after driving 40 minutes, he was 52 miles away from work. this situation is shown in the graph below. determine the slope of the line and describe what it means in this situation
The slope of the line and describe is the negative 0.5 which means in this situation will be negative 0.5 miles per minute.
What is the slope?The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall, and the difference between the abscissa is called run.
Joseph drove from his summer home to his place of work.
To avoid the road construction, Joseph decided to travel the gravel road.
After driving 20 minutes, he was 62 miles away from work, and after driving 40 minutes, he was 52 miles away from work.
This situation is shown in the graph below.
Then the slope of the line and describe what it means in this situation will be
Slope = (52 – 62) / (40 – 20)
Slope = – 10 / 20
Slope = – 0.5 miles per minute
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Josefin is 32 years younger than Annete. How many years ago was Annetes age twice Josefins age if Annete is 74 now.
Annette's age will be twice Josefin's age 10 years ago.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division
Given that:-
Josefin is 32 years younger than Annette. How many years ago was Annette's age twice Josefins age if Annette is 74 now.
So we can see that their present age Annette is 74 so the present age of Josefin will be 32 years lesser.
J = 74 - 32 = 42 years
The before 10 years ages of both the Josefin and Annettes will be:-
J = 42 - 10 = 32
A = 74 - 10 = 64
The ratio of the ages is:-
A / J = 64 / 32 = 2
A = 2 J
Therefore Annette's age will be twice Josefin's age 10 years ago.
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A culture started with 1,000 bacteria. After 4
hours, it grew to 1,100 bacteria. Predict how
many bacteria will be present after 12 hours.
Round your answer to the nearest whole
number.
Answer:
1331 bacteria
Step-by-step explanation:
Number bact = 1000 e^kt
1100 = 1000 e^k4
shows k = .023827545
Now for 12 hours
x = 1000 e^(.023827545 * 12)
= 1331
i realized my answer is wrong.
Review the graph.
On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. Point A is (1, negative 2), B is (1, negative 6), C is (9, negative 2), D is (9, negative 6), z 1 is (3, negative 4), and z 2 is (negative 4, 1).
Which expression is the result of subtracting (z2 – 3i) from (z1 + 2)?
A
B
C
D
[tex]z_{2}-3i=(-4+i)-3i=-4-2i\\\\z_{1}+2=(3-4i)+2=5-4i\\\\(z_{1}+2)-(z_{2}-3i)=(5-4i)-(-4-2i)=9-4i+4+2i=9-2i[/tex]
which corresponds with point C
The expression which is the result of subtracting (z2-3i) from (z1+2) is 9-2i.
Given On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. Point A is (1, -2), B is (1, -6), C is (9,- 2), D is (9, - 6), z 1 is (3, - 4), and z 2 is (- 4, 1).
Coordinate plane is a two dimensional plane formed by the intersection of two number lines. One is horizontal line and one is vertical. On horizontal line x values are denoted and on vertical line y values are written. There can be three dimensional plane also.
z2-3i=(-4+i)-3i=-4-2i
z1+2=(3-4i)+2=5-4i
(z1+2)-(z2-3i)=(5-4i)-(-4-2i)
=9-4i+4+2i
=9-2i
Hence for the expression (z1+2)-(z2-3i)=9-2i
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A student draws two parabolas on graph paper. Both parabolas cross the x-axis at (-4, 0) and (6, 0). The y-intercept
of the first parabola is (0, -12). The y-intercept of the second parabola is (0, -24). What is the positive difference
between the a values for the two functions that describe the parabolas? Write your answer as a decimal rounded to
the nearest tenth.
Answer:
1/2
Step-by-step explanation:
First parabola f(x1) = a ( x+4)(x-6) use point 0,-12 to find a = 1/2
= 1/2 (x+4)(x-6)
Second parabola a ( x+4) (x-6) using point 0, -24 shows a = 1
f(x2) = (1)(x+4)(x-6)
Difference between the 'a' values = 1 - 1/2 = 1/2