Answer:
full question Grace is an hourly employee, and the line that models her total pay in dollars
as it relates to the number of hours she has worked has a slope of 45 and a y
intercept of 35. Which statement is true?
A. Grace's wage is $35 an hour, and it appears that she received a
signing bonus of $45.
B. Grace's wage is $35 an hour, but it appears that she received no
signing bonus.
C. Grace's wage is $45 an hour, and it appears that she received a
signing bonus of $35.
D. Grace's wage is $45 an hour, but it appears that she received no
signing bonus.
Step-by-step explanation:
if x is the amount of hours worked, 45 is the slope and the y intercept is 35.
A linear equation has the form of y = ax + b, where a is the slope and b is the y-intercept, then the equation that we have is:
y = 45*x + 35
this means that she wins $45 per hour, and has a plane amount of $35, indiferent of the amount of hours worked.
Then the correct answer is
C) Grace's wage is $45 an hour, and it appears that she received a signing bonus of $35.
Answer:
wow........mmm.................
State if the three numbers can be the measures of the sides of a triangle. 11, 3, 8
we have three sides, let's look at the two smaller sides first.
check the picture below atop.
if we move the sides closer and ever closer to each other, to the extent that one is right on top of the other, what is the length of the red side? Well, assuming the two smaller sides are one pancaked on top of the other, the red side will be as long as 8 - 3 = 5. However, the sides can't be on top of each other, because if that's so, we have a flat-line, and thus we wouldn't have a triangle. So whatever the third side may be, it must be greater than 5.
check the picture below at the bottom
Now, if we move the sides away from each other, farther and farther to the extent that one is parallel to the other, then the third side will just be as long as 3 + 8 = 11. However, we can't do that, because if that were to happen, we again will have a flat-line and not a triangle. So whatever the third side may be, it must be less than 11.
so the third side being 11 is a no dice.
The DePeppo children, Ann, Debbie, Damian, and Adam created a contest to test their athletic abilities and physical strength. They threw objects into the air to see who was the best.
These four equations depict the travel of the objects they threw.
y1=−16x2+62x+10
y2=−16x2+75x
y3=−16x2+38x+60
y4=−16x2+20x+10
1 The youngest launched his object from atop the playset.
2 Ann climbed a tall tree to launch her object.
3 Damian’s object went the highest.
4 Debbie’s object was in the air the shortest amount of time.
5 The arrow was shot by the oldest.
6 The golf ball went 87 feet into the air.
7 Ann shot her arrow higher than the tennis and bowling balls.
8 The bowling ball reached its maximum height just under 1 second.
9 Damian’s ball was in the air twice as long as the 2nd oldest sibling.
10 The object of the youngest brother was in the air for more than 4 seconds.
Answer:
y1: Ann
y2: Damian
y3: Adam
y4: Debbi
Step-by-step explanation:
I need help with all these asap!!
Answer:
correspondingalternate interiorcorrespondingalternate exterioralternate interioralternate exterioralternate exteriorcorrespondingalternate interioralternate interiorcorrespondingcorrespondingStep-by-step explanation:
hope this will help you
In 2014, new cars had an average fuel efficiency of 27.9 miles per gallon with a standard deviation of 6.8 miles per gallon. a sample of 30 new cars is taken. [6 points] a) what is the probability the sample has a mean gas mileage between 27 and 29 miles per gallon?
The probability of the sample having a mean gas mileage between 27 and 29 miles per gallon will be 0.0116.
What is a normal distribution?The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
In 2014, new cars had an average fuel efficiency of 27.9 miles per gallon with a standard deviation of 6.8 miles per gallon. a sample of 30 new cars is taken.
Then the probability the sample has a mean gas mileage between 27 and 29 miles per gallon will be
The value of the z-score at x = 27, we have
[tex]z = \dfrac{27 - 27.9}{6.8}\\\\z = -0.13[/tex]
The value of the z-score at x = 29, we have
[tex]z = \dfrac{29 - 27.9}{6.8}\\\\z = 0.16[/tex]
Then the probability will be
[tex]\begin{aligned} P(-0.13 < z < 0.16 ) &= P (z < 0.16) - P(z > -0.13) \\\\&= P (z < 0.16) - [ 1 - P(z < -0.13) ]\\\\&= 0.56425 - (1 -0.44735)\\\\&= 0.0116 \end[/tex]
More about the normal distribution link is given below.
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Drag each tile to the correct box.
The composite figures below are made of right prisms.
Answer: Figure 1, Figure 2, Figure 3
Step-by-step explanation:
Blue figure Volume:
[tex](2 *5^{3} ) + (15*5*5) = 625feet^{3}[/tex]
Pink figure volume:
[tex](5^{3})+(5*5*17.5) + (12.5*2.5*5) = 718.75 feet^{3}[/tex]
Green figure volume:
[tex](4*12.5*11) + (2*9*11) = 748 feet^{3}[/tex]
3x-y= 17
-x+y= -7
Help please
Answer:
y = -2
x = 5
Step-by-step explanation:
3x - y = 17
-x + y = -7
here we can find the sum of the two equations
2x = 10
x = 5
now we can just plug in the value of x to find y
-(5) + y = -7
y = -2
is 5/10 Equivalent to 1/4?
No
[tex] \frac{5}{10} = \frac{5 \times 1}{5 \times 2} = \frac{1}{2} \\ [/tex]
The perimeter of an isosceles triangle is 4 times the length of the shortest side. The longer sides are 4.5 ft longer than the shortest side. What is the length of each side of the triangle?
Answer:
Shorter side = 9 feetLonger sides = 13.5 feetStep-by-step explanation:
Let :
Shorter side = xLonger sides = x + 4.5Perimeter = 4xSolving
2(x + 4.5) + x = 4x2x + 9 + x = 4xx = 9 feetSolution
Shorter side = 9 feetLonger sides = 13.5 feetAnswer:
short side: 9 ftlonger sides: 13.5 ftStep-by-step explanation:
The given information lets us write two equations relating the side lengths.
__
setupLet L and S represent the lengths of the longer and shorter sides. We are told ...
S + L + L = 4S . . . . . the perimeter is 4 times the short side length
L = 4.5 +S
__
solutionUsing the second equation to substitute for L in the first equation, we have ...
S +2(4.5 +S) = 4S
9 = S . . . . . . . . . . . . . simplify, subtract 3S
L = 4.5 +S = 13.5
The shortest side is 9 ft; the longer sides are 13.5 ft.
__
Additional comment
The perimeter is 36 ft.
convert 0.29 to a percentage
Answer:
0.29 as a percentage is the same as 29%
Step-by-step explanation:
it’s going to be 29% because you just pretend that there isn’t a 0. In front of the 29 and you have 29%.
The decimal number 0.29 is equivalent to 29% when expressed as a percentage.
Given decimal is 0.29.
To convert a decimal number to a percentage, multiply it by 100 and add the percentage symbol (%).
In this case, to convert 0.29 to a percentage
= 0.29 x 100
= 29
Therefore, 0.29 is equivalent to 29% as a percentage.
Learn more about percentage here:
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The area of a gym is 3,403 m squared. If the width of the gym is 41 m, what is the length of the gym?
Type your numerical answer below (without units). If necessary, round to the nearest whole number.
Answer:
83 m
Step-by-step explanation:
The missing dimension can be found by using the area formula. Fill in the given values, and solve for the remaining unknown value.
__
A = LW . . . . . area of a rectangle of length L and width W
3403 m² = L(41 m) . . . . with given values filled in
L = (3403 m²)/(41 m) = 83 m . . . . . . divide by the coefficient of L
The length of the gym is 83 meters.
Multiplication and dvision which number sentence is true? a. b. c. d.
b. and d.
Step-by-step explanation:
the sentence is true
Find the mean of this data set
(Show your work)
Answer:
3
Step-by-step explanation:
Find the sum of the data set and divide it by the number of data points in the set:
[tex]\text{Mean}=\frac{2+3+1+4+5+2+3+4+3}{9}=\frac{27}{9}=3[/tex]
Therefore, the mean of the data set is 3
Does anyone know the answer???
Answer:
That's the right answer
Step-by-step explanation:
Hope to help
mark me as brainlinest plss
the area of Zimbabwe is 390750km write this in standard form correct to three significant figures
Answer:
3.9075x10^5
Step-by-step explanation:
Hope this helps! ;-)
Guys, Please Help me Fast
I will help u so fast, first
you help me
can u answer this
some fanicial and environmental damages that have been made by cars.
please help me
this is exam
teacher giving us 10 minutes to discuss about and I am in washroom of school writing this
Select all the right triangles, given the length of the sides
Answer:
B, E
Step-by-step explanation:
Needs a 3:4:5 ratio, or, if it is an isosceles triangle, then n:n:nsqrt(3)
A population of snails is tripling every week if the population started with 15 snails how many snails will there be after 14 weeks?
Answer:
There is 57 snails after 14 weeks
Step-by-step explanation:
Creating an equation:tripling every week means 3x
NOTE: x is defined as the number of weeks
started with 15 snails means at day 0 (x = 0 also known as y intercept)
y = mx + b m is the slope, b is the y intercept
our equation: y = 3x + 15
after 14 weeks (x = 14):y = 3(14) + 15
y = 42 + 15
y = 57
Rowan bought a bag of jelly beans that
contained 54 ounces of jelly beans. She
divided the jelly beans into bags that
contained 6.75 ounces each. Write a division
equation that could be used to find the
number of bags she made.
Answer:
[tex]\sf y=\dfrac{54}{6.75}[/tex] or [tex]\sf y=54 \div 6.75[/tex]
(where y is the number of bags made)
Step-by-step explanation:
If Rowan bought a 54 oz bag of jelly beans and divided them into bags that each contained 6.75 oz, to find how many bags were made, divide the total weight of jelly beans by the weight of each bag.
⇒ Number of bags = Total weight ÷ bag weight
= 54 ÷ 6.75
= 8
Therefore, Rowen made 8 bags.
Total weight of jelly beans initially
54ozEach bag contains
6.75ozSo the equation should be
Bags=54/6.75Or
B=54/6.75If we solve we get total bags as 8
Question content area top
Part 1
compares the heights of two plants to see which plant grows more per day. The table shows the height of Plant 1, in centimeters, over 5 days. The graph shows the height of Plant 2, in centimeters, over 10 days. says that since Plant 1 grows cm per day and Plant 2 grows cm per day, grows more per day. Answer parts a and b.
Answer:
Step-by-step explant 1 grows more
Step-by-step explanation:
plant 2 only grows one cm a day while plant 2 grows 1.6 cm a daycation:
Please help!!! Will give brainliest
Answer:
y ≥ 14
Step-by-step explanation:
Add 27 to both sides to get:
y ≥ 14
Therefore the answer is y ≥ 14.
Instructions: find the marked angle in the triangle diagrams and explain how you figured it out.
(Image below) Also giving brainlyest to the person with a good explanation
Answer: 84 degrees
Step-by-step explanation:
this triangle is an isosceles triangle meaning two sides are of equal length ( the two sides in this case being the ones marked with the two lines // and // ) and that also means the triangle will have two equal angles (48 and 48) how do we know that? The triangle looks like this essentially: (see image below) where angle a = to angle b
a triangles angles added up always =180 degrees
Since we proved angle a is equal to angle b, we should be able to also subtract them from 180 to find angle c. 48+48=96
and simply subtract 96 from 180 to get 84 degrees.
therefore the angle is 84 degrees
whats the median 19 19 20 21 2324 25 26 27 29 33
Answer:
The median is also known as the middle of the data set when it has already been sorted. So the first thing that we need to do is make sure that our data set is fully sorted.
[tex]19, 19, 20, 21, 23, 24, 25, 26, 27, 29, 33[/tex]
Now that we have our data set sorted, we can located the middle. Since this data set has 11 numbers that means number 6 is going to be our median. Counting from the left we get that our median is 24.
Hope this helps! Let me know if you have any questions
Answer: The answer is 24.
Step-by-step explanation: To find the median, you put all your data in order from least to greatest, which would look like:
19, 19, 20, 21, 23, 24, 25, 26, 27, 29, 33
Then, cross out the numbers from front to back until you find your middle number.
19, 19, 20, 21, 23, 24, 25, 26, 27, 29, 33
This leaves 24 left, which is the answer!
can you guys please help me on this question
Answer:
2.44 units
Explanation:
[tex]\sf Arc \ Length = \dfrac{\theta}{360} * 2\pi r[/tex]
Here given:
∅ = 40°radius = 3.5Solve for AB:
[tex]\rightarrow \sf \dfrac{40}{360} *2(3.14)(3.5)[/tex]
[tex]\rightarrow \sf 2.4422...[/tex]
[tex]\rightarrow \sf 2.44 \quad (rounded \ to \ two \ decimal \ places)[/tex]
does anyone know this answer?
the question says that the samples included 100 people each, so it's just 100 multiplied by the amount of samples:
7×100=700
Answer: It looks like the answer is 50. But i would go over it with a calculator.
Step-by-step explanation:
I am thinking of a number. I subtract 10 then divide by 2 and now have 19 what was my original number
Answer:
x=48
Step-by-step explanation:
(x-10)÷2=19
x-10 =19
2
(x-10)×2 =19×2
2
x-10=19×2
x-10=38
x=38+10
x=48
se a model to solve: (3 points)
two sevenths plus three sevenths plus one seventh equals
Answer:
6/7
Step-by-step explanation:
all fractions have a common denominator which allows us to add all numerators and maintain the same denominator. 2+3+1=6, and put it back over 7. so 6/7.
Work out the circumference of this circle.
Take to be 3.142 and write down all the digits given by your calculator,
13 cm
diameter= 13 cm
to find:the circumference of the given circle.
solution:[tex]c = \pi \: d[/tex]
[tex]c = 3.142 \times \: d[/tex]
[tex]c = 3.142 \times 13[/tex]
[tex]c = 40.846 \: cm[/tex]
hence, the circumference of the given circle is 40.846 cm
First, we'll have to change the diameter to radius by dividing the diameter by 2.
[tex]\large\boxed{Formula: r= \frac{d}{2}}[/tex]
So we'll have to divide 13 by 2.
Substitute the values according to the formula.
[tex]r= \frac{13}{2}[/tex]
[tex]\bold{6.5 \: cm}[/tex]
Now, we can find the circumference.
[tex]\large\boxed{C= 2\pi{r}}[/tex]
Substitute the values according to the formula.
[tex]C= 2\times\pi\times6.5[/tex]
Calculate value:
[tex]\large\boxed{C= 40.8407045 \: cm}[/tex]
Therefore, the circumference of the given circle is 40.8407045 centimeters.
Find x if f(x) = 2x² - 14 and f(x) =114.
HURRY PLEASE !!!
Find the equation of the line that passes through the points: (2, 2) and (3, 4)
Answer:
y=2(x-2) +2
Step-by-step explanation:
Find fifth roots of 4-4i