Answer:
The correct option is C.
Step-by-step explanation:
It is given that gross pay is a function of the number of hours that you work.
Let y represents the gross pay and x represents the number of hours. So, the value of x and y can be negative.
Hourly wage = $8 per hour.
The weekly gross pay function is
[tex]y=8x[/tex] .... (1)
Domain is the set of inputs and ranges is the set of outputs.
It is given that you work 40 hours per week. It means the value of x lies between 0 to 40.
Domain = [0,8]
Substitute x=40 in equation (1), to find the gross pay when number of hours is 40.
[tex]y=8(40)=320[/tex]
Range = [0,320]
The practical domain is 0 through 40. The practical range is 0 through 320.
Therefore the correct option is C.
The practical domain for the function representing gross pay is the range of hours worked, 0 to 40 hours. The practical range is the corresponding gross pay, from $0 to $320, based on an $8 per hour wage for up to 40 hours of work. So correct answer is option C.
To determine the practical domain and range of the function that represents your gross pay based on an hourly wage of $8 per hour, we must consider the possible number of hours you can work in a week and the corresponding earnings. Given that you work 40 hours per week, the practical domain (which represents the number of hours worked) would be any value from 0 to 40 hours, since you cannot work negative hours and we're assuming a standard full-time workweek.
The practical range (which represents the gross pay) is calculated by multiplying the number of hours worked by the hourly wage. Therefore, the range would be 0 (if you work 0 hours) to $320 (if you work 40 hours), because 40 hours times $8 per hour equals $320.
So, the correct answer from the given options is Option C.
Practical domain: 0 through 40.
Practical range: 0 through 320.
20 points
please help
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Six more than a number equals two times the sum of one-half the number plus three. Is this statement true for only one number, all numbers, or for no numbers
your answer would be all numbers
let me show you:
step 1) 6 more than 4 is 10
step 2) two times the sum of one-half the number plus three is 2*(2+3)
step 3) 2+3 is 5,and 5*2 is 10
step 4) compare the answers from steps 1 and 3,they are both 10
so your answer is ALL numbers
write an equation for the vertical line that contains point E(-7,7)
On a coordinate grid, both point (1, 2) and point (−3, −3) are reflected across the y-axis. What are the coordinates of the reflected points?
A-(−1, 2) and (3, −3)
B- (−1, −2) and (3, 3)
C-(1, −2) and (−3, 3)
D-(1, 2) and (3, 3)
Plz help i don't get
a chair lift on the ski slope travels a total distance of 4640 ft to the top of a 2178 foot mountain find the angke of ski slope
The equation y-2/3=-2(x-1/4) is written in point-slope form. What is the equation in slope-intercept form?
Answer: [tex] y=-2x+\dfrac{7}{6}[/tex]
Step-by-step explanation:
The slope -intercept form of a line is given by :-
[tex]y=mx+c[/tex]
The given equation of a line :[tex]y-\dfrac{2}{3}=-2(x-\dfrac{1}{4})[/tex]
To convert it into slope-intercept form , we need to multiply -2 inside the brackets , we get
[tex]y-\dfrac{2}{3}=-2x-\dfrac{-2}{4})\\\\\Rightarrow y-\dfrac{2}{3}=-2x+\dfrac{1}{2}\\\\\Rightarrow y=-2x+\dfrac{1}{2}+\dfrac{2}{3}\\\\\Rightarrow\ y=-2x+\dfrac{7}{6}[/tex]
Hence, the equation in slope-intercept form : [tex] y=-2x+\dfrac{7}{6}[/tex]
line r is parallel to line t. find m<6. The diagram is not to scale
(see attached photo)
The table below shows the steps to prove that if the quadrilateral ABCD is a parallelogram, then its opposite sides are congruent:
Statement: Reasons:
1 AB is parallel to DC and AD is parallel to BC -Definition of parallelogram
2 angle 1 = angle 2, angle 3 = angle 4 -If two parallel lines are cut by a transversal then the alternate interior angles are congruent
3 BD = BD -Reflexive Property
4 triangles ADB and CBD are congruent -If two angles and the included side of a triangle are congruent to the corresponding angles and side of another triangle, then the triangles are congruent by ______?_?_?_______
5 AB = DC, AD = BC -Corresponding parts of congruent triangles are congruent
Which choice completes the missing information for reason 4 in the chart?
AAS postulate
ASA postulate
HL Postulate
SAS postulate
The correct postulate for reason 4 in the proof chart is the ASA postulate.
To complete the missing information for reason 4 in the proof chart, we need to identify the correct postulate used for congruent triangles.
The given triangles ADB and CBD share the side BD (Reflexive Property), and they have pairs of congruent angles formed by the parallel lines (Alternate Interior Angles Theorem).
Since these triangles have two angles and the included side congruent, the appropriate postulate is the ASA postulate (Angle-Side-Angle).
Therefore, the correct choice is the ASA postulate.
at medina middle school 2% of the students ride bikes to school.if 950 students attend medina middle school,how many students ride a bike to school?
1. Select all irrational numbers.
Square root of 10
Square root of 27
Square root of 49
Sq. Rt 64
Sq. Rt 99
2. Select all irrational numbers.
14√
24√
34√
44√
54√
3. Select "Rational" or "Irrational" to classify each number.
0.25
Sq. Rt. 0.25
Sq. Rt. 0.33
Be 100% SURE
Answer: (1)[tex]\sqrt{10}, \sqrt{27}, \sqrt{99}[/tex], (2) [tex]\sqrt{14}, \sqrt{24}, \sqrt{34}, \sqrt{44}, \sqrt{54}[/tex], (3) [tex]\sqrt{0.33}[/tex] are irrational numbers.
Explanation:
(1)
A number is called an irrational number if it can not be written as a simple fraction form. For example [tex]\sqrt{2}, \sqrt{3},\sqrt{5},...[/tex].
If a real number is multiplied by an irrational number then the result is an irrational number.
[tex]\sqrt{49}=7[/tex]
[tex]\sqrt{64}=8[/tex]
Since the result of these square roots are a rational number, therefore [tex]\sqrt{49}, \sqrt{64}[/tex] these are rational numbers and [tex]\sqrt{10}, \sqrt{27}, \sqrt{99}[/tex] are irrational numbers.
(2)
[tex]\sqrt{14} =\sqrt{7} \sqrt{2}[/tex]
[tex]\sqrt{24} =2\sqrt{6}[/tex]
[tex]\sqrt{14} =\sqrt{17} \sqrt{2}[/tex]
[tex]\sqrt{44} =2\sqrt{11}[/tex]
[tex]\sqrt{54} =3\sqrt{6}[/tex]
All the number in the option can not be written in the form of simple fraction, so all the options represents the irrational numbers.
(3)
[tex]0.25=\frac{1}{4}[/tex]
[tex]\sqrt{0.25} =0.5=\frac{1}{2}[/tex]
[tex]\sqrt{0.33} =\frac{\sqrt{33}}{10}[/tex]
Therefore, the number [tex]\sqrt{0.33}[/tex] is an irrational number. The numbers [tex]0.5,\sqrt{0.25}[/tex] are rational numbers.
3,478 divided by 9
2,205 divided by 6
6,033 divided by 5
926 divided by 4
Answer:
Step-by-step explanation:
3,478/9= 386.4 repeating(line over the 4)
2,205/6=367.5
6,033/5=1,206.6
926/4=231.5
Hope this helps
Write an solve a real world problem that can be represented by
15x - 20 < or equal 130
Which number is three million times larger than 2.3 x 104 ? A) 2.3 x 107 B) 2.3 x 108 C) 6.9 x 109 D) 6.9 x 1010
The required number that is three million times larger than 2.3 x 10⁴= is 6.9 x 10¹⁰. Option D is correct.
Given that,
To determine which number is three million times larger than 2.3 x 10.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The number is three million times larger than 2.3 x 10⁴
= 3 * 10⁶ * 2.3 * 10⁴
= 6.9 * 10¹⁰
Thus, the required number that is three million times larger than 2.3 x 10⁴= is 6.9 x 10¹⁰. Option D is correct.
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What is the answer to this 765 divided by 5
what are two fractions whose product is -3/5?
Jill was shopping for Christmas and bought items costing $13.45 $10.99 $6.59 $12.98 she used a coupon worth $2.50 she then remembered she had another coupon in her purse for $10.00 off so she used it also if Jill had $50.00 when she went into the store how much did she have left
the school decided to raise the price lunches by $0.25. Seth buys the school lunch 5 days a week. Write a formula that will help seth determine how much he'll now spend on lunch every week.
p= old price of school lunch
t= total seth pays for lunch each week
Seth can calculate his weekly lunch expenses with the formula t = 5 x (p + $0.25), where p is the old price and t is the new weekly total.
The question involves creating a formula that Seth can use to determine how much he will spend on lunch every week after an increase in the price.
Let's define the following variables: p for the old price of school lunch and t for the total Seth pays for lunch each week.
If the school decided to raise the price of lunches by $0.25 and Seth buys the school lunch 5 days a week, the new price of each lunch will be p + $0.25.
Therefore, to calculate the total Seth will pay per week, we use the formula: t = 5 x (p + $0.25).
This formula accounts for the new price Seth will pay for lunch each day, multiplied by the 5 days he purchases lunch at school.
A 15-pound bag of wildflower seed covers 40 square feet .How many pounds of seed does it take to cover 1 square foot
Lou cuts 3 yards from a 9 yard roll of fabric. Then he cuts 4 feet from the roll. How many feet of fabric is left on the roll.
Final answer:
Lou starts with a roll of fabric that's 9 yards long which equals 27 feet (9 yd x 3 ft/1 yd). After cutting 3 yards (9 feet) and then 4 feet, he's left with 14 feet of fabric.
Explanation:
The question involves calculating the remaining length of fabric in feet after Lou makes two cuts from a roll. Since one yard is equivalent to 3 feet, we'll first convert the roll's total length from yards to feet. Starting with a 9-yard roll, we convert it to feet (9 yd x 3 ft/1 yd = 27 ft). After cutting 3 yards (which equals 9 feet) and then another 4 feet, we subtract these from the total length.
Here's the step-by-step calculation:
Convert initial length to feet: 9 yd x 3 ft/1 yd = 27 ft.
Subtract the first cut in feet: 27 ft - 3 yd (9 ft) = 18 ft remaining.
Subtract the second cut: 18 ft - 4 ft = 14 feet remaining.
Therefore, there are 14 feet of fabric left on the roll.
Help and explain these plz
round 96.39 to the tenths place
Final answer:
To round 96.39 to the tenths place, we increase the tenths digit by one because the hundredths digit is 9, which is greater than 5. The rounded number is 96.4.
Explanation:
To round 96.39 to the tenths place, we look at the digit in the hundredths place (which is 9 in this case). According to the standard rules for rounding numbers, if the first dropped digit is 5 or higher, we round up the last digit that is kept. Since 9 is higher than 5, we will round up. The number 96.39 rounded to the tenths place is 96.4.
0.06 or 60% which is greater?
Final answer:
When comparing 0.06 and 60%, we need to convert the percentage to a decimal (0.60) to make a direct comparison. 0.60 is greater than 0.06.
Explanation:
To compare 0.06 and 60%, first, we should express both numbers in the same format. The number 0.06 is already in decimal form, so let's convert 60% into a decimal. To do this, we divide 60 by 100, which equals 0.60. Now we can see that 0.60 is greater than 0.06.
Estimate the number 78% of 112
A King cobra has a mass of 8.845 kilograms. Round the mass to the nearest tenth kilogram
If two figures are similar but not congruent, what do you know about the sequence of transformations used to create one from the other?
Product A costs her $26.50 She decides mark the product up 30% .How will Emerson charge for product A
Final answer:
To find the price Emerson will charge for product A with a 30% markup, add the markup to the original cost of $26.50. The final price will be $34.45.
Explanation:
To find the price at which Emerson will charge for product A, you need to add 30% markup to the original cost of $26.50.
To calculate this, first find 30% of $26.50. Multiply $26.50 by 0.30.
30% of $26.50 = $7.95
Next, add the markup to the original cost:
$26.50 + $7.95 = $34.45
Therefore, Emerson will charge $34.45 for product A.
Whats the answer with work shown
2h+15=3h-15
Use rigid motions to explain whether the triangles in the figure are congruent. Be sure to describe specific rigid motions in your explanation.
In mathematics, congruence of triangles is determined using rigid motions. If one can be made to coincide with the other through translation, rotation, and reflection, then the triangles are congruent.
Explanation:In mathematics, congruence of triangles is determined using rigid motions. Rigid motions include translation, rotation, and reflection. These motions maneuver a figure without altering its shape or size, hence the term 'rigid'.
To determine if two triangles are congruent by rigid motions, you could move one triangle using a combination of these rigid motions to check if it can overlap perfectly with the other triangle. For example, you may need to translate (or slide) the triangle a certain distance in a certain direction, rotate it around a point by a certain angle, and possibly reflect it across a line.
If you can make one triangle coincide with the other through these rigid motions, then the triangles are congruent. Otherwise, they are not congruent. This is basically the idea behind the congruence of triangles through rigid motions.
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Which equation correctly applies the distributive property?
A. 2.4⋅(−3.4)⋅(−1.25)=−3.4⋅2.4⋅(−1.25)
B. −2.5⋅(4⋅3.67)=(−2.5⋅4)⋅3.67
C. −3⋅(6.48)=(−3⋅6)+(−3⋅0.4)+(−3⋅0.08)
D. (42⋅3.5)+(42⋅1.3)+(42⋅5.2)=42+(3.5+1.3+5.2)
From the word itself distribution, the distributive property of equality states that a number must be distributed to all the numbers inside the parenthesis. From the given choices, the only correct answer is:
C. −3 ⋅ (6.48)=(−3⋅6) + (−3⋅0.4) + (−3⋅0.08)
If x = 0, then f(0) = . If f(x) = 0, then x =
Answer:
2.25 and the second one is -1