Answer:
a, b, d, e
Step-by-step explanation:
Independent var is the # of gallons: true (generally graphs go in indep, dep format)
liters is a function of gallons: true
l = 3.79g is false, as 1 liter is not 3.79 gallons, but the other way around
as the number of gallons increases, the number of liters increases: true because this function has a positive slope
this is a function because every input has exactly 1 output: true
A function assigns the values. All the statements are true.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A.) The independent variable is the number of gallons.
The statement holds true, generally when a table is formed x is on the left side of the table which is an independent variable and y is on the right side which is the dependent variable.
B.) Liters are a function of Gallons.
The statement is true, generally when a table is formed x is on the left side of the table which is an independent variable and y is on the right side which is the dependent variable. And y is a function of x, similarly, liters is the function of gallons.
C.) The equation l = 3.79g represents the table.
The equation is true if we substitue the value of gallons in the place of g, the output will be the value of l. Thus, the equation is true.
[tex]\rm l = 3.79g\\\\l = 3.79(1\ gallons) \rightarrow l=3.79\ liters\\\\l = 3.79(2\ gallons) \rightarrow l=7.58\ liters\\\\l = 3.79(6\ gallons) \rightarrow l=22.74\ liters[/tex]
D.) As the number of gallons increases, the number of litres increases.
The statement holds true and can be observed in the table.
E.) This is a function because every input has exactly one output.
The statement holds true and can be observed in the table.
Hence, all the statements are true.
Learn more about Function:
https://brainly.com/question/5245372
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Work out m and c for the line: y = x + 4
Answer:
Step-by-step explanation:
Describe the graph of y > mx, where m > 0. Plz wright it in your own words I do not want a "Sample Response" if it is I will not thank you and I will report you
Answer:
that graph will feature an area delimited by a line of slope m passing through the origin (0,0). Since m>0 the slope is positive, meaning the line goes up. Since the equation is y > mx, the inequality sign being >, that means the area represented will be ABOVE the line drawn.
Four different linear functions are represented below. Drag the representation of each function into order from greatest y-intercept to least y-intercept.
Answer:
Step-by-step explanation:
A linear function has been given as,
y = [tex]\frac{1}{3}x+5[/tex]
Comparing it with the slope intercept equation,
y = mx + b
b = y-intercept = 5
From the graph,
y-intercept = (-2)
From the given table,
For x = 0, f(x) = 3
Therefore, y-intercept = 3
A line passes through two points (-3, -2) and (3, 0),
Slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{0+2}{3+3}[/tex]
= [tex]\frac{1}{3}[/tex]
Equation of a line passing through a point (x', y') and slope = m
y - y' = m(x - x')
If the point is (3, 0) and slope = [tex]\frac{1}{3}[/tex]
y - 0 = [tex]\frac{1}{3}(x-3)[/tex]
y = [tex]\frac{1}{3}x-1[/tex]
y-intercept of this line = (-1)
Therefore, decreasing order of the slopes will be,
[tex]5>3>\frac{1}{3}>(-2)[/tex]
Order of the functions with slopes from maximum to lease will be,
1). [tex]y=\frac{1}{3}x+5[/tex]
2). Function represented by the table.
3). Line passing through (-3, -2) and (3, 0)
4). Function shown in the graph
Help a chick out only if u know what u doing
Answer:
for 12:00 1 for 1:00 2
Step-by-step explanation:
this is a pattern where each number multiplies itself by 2 making 12:00 and 1:00 pm 1 and 2
edit: is it right? if it is, may I have brainliest?
What is the hire purchase of a stove purchased through 24 monthly
payments of J$2,000 and a deposit of J $950?*
9514 1404 393
Answer:
J$48,950
Step-by-step explanation:
The entire purchase price is ...
24×J$2000 +J$950 = J$48,950
PLEASE SHOW WORK A coffee distributor needs to mix a(n) Gualtemala Antigua coffee blend that normally sells for $10.30 per pound with a Tanzanian coffee blend that normally sells for $13.80 per pound to create 60 pounds of a coffee that can sell for $12.46 per pound. How many pounds of each kind of coffee should they mix? Answer: They must mix ________ pounds of the Gualtemala Antigua Blend ________pounds of the Tanzanian Blend. (Round your answers to the nearest whole number of pounds.)
Answer:
23 pounds of the Gualtemala Antigua Blend and 37 pounds of the Tanzanian Blend
Step-by-step explanation:
you need to make a system of equations to solve this.
First lets make x be the pounds of Gualtemala Antigua coffee blend and y the pounds of Tanzanian coffee blend
we know we need 60 pounds total so first equation is
x+y=60
Next we will make an equation based on the money information
10.30x + 13.80y = 12.46(60)
10.30x + 13.80y = 747.60
So our system of equations is
x + y = 60
10.30x + 13.80y = 747.60
I will solve this by using substitution. first rewrite x+y=60 to y=60-x
now i can substitute that into the other equation for y and solve for x
10.30x + 13.80(60-x) = 747.60
10.30x + 828 -13.80x = 747.60
-3.5x + 828 = 747.60
-3.5x = -80.4
x = 23 (rounded from 22.9714 since they requested that)
now I can use this solution to solve for y by plugging into one of the original equations
x + y =60
23 + y =60
y = 37
Finally we can say that they must mix 23 pounds of the Gualtemala Antigua Blend and 37 pounds of the Tanzanian Blend.
Please please help guys
Answer:
234.85
Step-by-step explanation:
This was easy!!!
(The gardener comes 4 times a month... so divide 85.40 by 4 and you will get 21.35. Each time he comes, he gets 21.35 and by the end of the month, he has 85.40. It says he already came 11 times. So 4 + 4 = 8 + another 4 that equals 12. He came only two months and a few weeks. This means multiply 85.40 by 2 so you would get 170.8. It said he came 11 times so substract 11 from 8 and you would get 3. So multiply 21.35 by 3 and get a total of 64.05. Add 170.8 and 64.05 to get 234.85!!! The answer is 234.85 or C!!!!
Answer: C. $234.85
Explanation: $85.40 (how much Katrina pays each time the gardener comes) * 4 (the number of times the gardener comes each month) = $234.85 (how much the gardener made)
Jeremy wrote this equivalent equation to solve for x: x = negative 11 y minus 140 Which of these equations might have been Jeremy's original equation? Check all that apply. y + 7x = 23 y + 11x = 140 2x – 22y = –140 3x + 33y = –420 x + 140 = –11y
Answer:
3x+33y= -420
x+140= -11y
Step-by-step explanation:
x= -11y-140
y +7x=23
7x=23-y
x=23/7 - y/7
y+11x=140
11x=140-y
x=140/11 - y/11
2x-22y=-140
2x=-140+22y
x=-140/2+22y/2
x=-70+11y
3x+33y=-420
3x=-420-33y
x=-420/3 - 33y/3
=-140-11y
x=-140-11y
x+140=-11y
x=-11y-140
Answer:
The bottom 2
3x + 33y = –420
x + 140 = –11y
Step-by-step explanation:
Edge 2020
(10.05 LC)
If sin(x) =½
what is cos(x) and tan(x)? Explain your steps in complete sentences. (10 points)
Answer:
Cos x = [tex]\frac{base}{hypotenuse}=\frac{\sqrt{3} }{2}[/tex]
Tan x = [tex]\frac{perpendicular}{base} = \frac{1}{\sqrt{3} }[/tex]
Step-by-step explanation:
Sin x = [tex]\frac{perpendicular}{hypotenuse} = \frac{1}{2}[/tex]
So, Perp = 1 and hyp = 2
Putting this in Pythagorean theorem to get the base
[tex]c^2 = a^2+b^2[/tex]
[tex]a^2 = c^2-b^2[/tex]
base ² = 4-1
base² = 3
Taking square root on both sides
Base = [tex]\sqrt{3}[/tex]
Now
Cos x = [tex]\frac{base}{hypotenuse}=\frac{\sqrt{3} }{2}[/tex]
Tan x = [tex]\frac{perpendicular}{base} = \frac{1}{\sqrt{3} }[/tex]
The following table shows the salary of 7 people in an office last year. Name Income Andy £9500 Bevan £25000 Cheryl £11250 Deva £72000 Elliott £12750 Frankie £29500 Grace £11000 a) Work out the mean income to 2 DP. b) Deva was given a large bonus for 30 years service. Excluding Deva's income, what was the mean income for the remaining 6 workers to 2 DP?
Answer:
Step-by-step explanation:
a. Andy = £9500
Bevan = £25000
Cheryl = £11250
Deva = £72000
Elliott = £12750
Frankie = £29500
Grace = £11000
Total Income = £171,000
To get the mean Income, we divide the total income gotten by 6 which is the number of people. This will be:
= £171,000/7
= £24428.57
b. If Deva's income is excluded, there'll be 6 people left.
Andy = £9500
Bevan = £25000
Cheryl = £11250
Elliott = £12750
Frankie = £29500
Grace = £11000
Total income = £99000
Mean income = £99,000/6
= £16,500
Suponha que uma variável assume os valores: 11 – 8 – 7 – a – 16 – 10 Determine a de modo que a média aritmética seja igual 11.
Answer:
a = 14
Step-by-step explanation:
The mean is the sum of the values divided by the number of values.
[tex]\begin{array}{rcl}\text{Mean}&= &\dfrac{11 + 8 + 7 + a + 16 + 10}{6}\\\\\dfrac{52 + a}{6}& = & 11\\52 + a & = & 66\\a & = & 66 - 52\\& = & \mathbf{14}\\\end{array}[/tex]
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 11.7 years, and standard deviation of 1.2 years. The 2% of items with the shortest lifespan will last less than how many years? Give your answer to one decimal p
Answer: 9.2 years
Step-by-step explanation:
Given the following :
Mean(m) = 11.7 years
Standard deviation (s) = 1.2 years
Recall the z-score formula :
Z = (x - m) / s
We can find the z-score by locating the value of 2% in the negative z-table, then solve for x.
2% = 0.02
0.02 falls most closely to 0.02018whuch is under - 2.05.
Using the z-score value in the formula above :
-2.05 = (x - 11.7) / 1.2
Cross multiply
(-2.05 × 1.2) = x - 11.7
-2.46 = x - 11.7
x = - 2.46 + 11.7
x = 9.24 years
if f(x)= x/2-3 and g(x)=4x^2+x-4 find (f+g) (x)
Answer:
(f+g) (x)=4x^2+3x/2-7
Step-by-step explanation:
f(x)= x/2-3 and g(x)=4x^2+x-4
(f+g) (x)=?
(f+g) (x)=f(x)+g(x)
(f+g) (x)=x/2-3+4x^2+x-4
combining like terms
(f+g) (x)=4x^2+x/2+x-3-4
(f+g) (x)=4x^2+3x/2-7
hope it helps. Brainliest please
Simplify: -8y-(x-4x) + 3y
Answer:
-5y+3x
Step-by-step explanation:
-8y-(x-4x) + 3y
= -5y-(x-4x)
= -5y+3x
Answer: -5y+3x
Step-by-step explanation:
liz buys 17 identical tickets for £208.25 estimate the cost of one ticket
Answer:
£12.25
Step-by-step explanation:
Using unit rate:
[tex]\frac{\text{Price}}{\text{Tickets}}=\frac{208.25}{17}=\frac{208.25/17}{17/17}=\frac{\boxed{12.25}}{1}[/tex]
£12.25 should be the correct answer.
30 POINTS! and brainliest if you have the best answer
1. How can you set up a spinner so that an event is likely?
2. How can you set up a spinner so that an event is unlikely?
3. How can you set up a spinner so that an event is impossible?
4. How can you set up a spinner so that an event is certain?
Answer:
hey guys whats up!
i think your answer is
1. you can spin the spinner a certain way and it is more likely to land on the answer you want or if it has anything to do with colors then make the color you want to take up more space.
2.you can as the other question above states do the opposite.
3.to make an event impossible you can do this:if it is a color leave it out,this means that it will not land on it so it is impossible.
4.to make an event certain you can do the opposite of answer 3
Step-by-step explanation:
hope this helps
thx
pls put brainliest
please help, it is maths, brainliest will be given
Answer:
V = 1330.5 cm³
Step-by-step explanation:
Diameter = 11 cm
Radius = 5.5 cm
Height = 14 cm
Now, The volume:
Volume of Cylinder = [tex]\pi r^2h[/tex]
V = [tex](3.14)(5.5)^2(14)[/tex]
V = [tex](3.14)(30.25)(14)[/tex]
V = 1330.5 cm³
Answer:
1330.5 cm³
Step-by-step explanation:
The volume of a cylinder is equal to πr²h.
Where r is the radius and h is the height.
The diameter is 11 cm, so the radius will be 5.5 cm.
π(5.5)²(14)
π(30.25)(14)
423.5π = 1330.464489
Rounded to 1 decimal place will be 1330.5 cm³.
Jerry uses an exercise program to help him eventually do 100 push-ups. He started with 17 push-ups in Week 1 and planned to increase the number of push-ups by 2 each week. Show your work. a) In which week does Jerry expect to reach his goal? b) What is the total number of push-ups he will have done when he reaches his goal?
Answer:
(a) Jerry expect to reach his goal by week 43rd.
(b) The total number of push-ups Jerry will have done when he reaches his goal is 2,537.
Step-by-step explanation:
It is provided that Jerry wants to do 100 push-ups. He started with 17 push-ups in Week 1 and planned to increase the number of push-ups by 2 each week.
the number of push-ups done each week by Jerry follows a arithmetic progression with the first terms as, a = 17, common difference as, d = 2 and the last terms as, l = 100.
(a)
Compute the number of week it takes Jerry to reach his goal as follows:
The nth term of an AP is:
[tex]t_{n}=a+(n-1)d[/tex]
Compute the value of n as follows:
[tex]t_{n}=a+(n-1)d[/tex]
[tex]100=17+(n-1)\cdot 2\\\\100-17=(n-1)\cdot 2\\\\83=2n-2\\\\2n=85\\\\n=42.5\\\\n\approx 43[/tex]
Thus, Jerry expect to reach his goal by week 43rd.
(b)
Compute the total number of push-ups he will have done when he reaches his goal as follows:
The sum of n terms of an AP is:
[tex]S_{n}=\frac{n}{2}\cdot [2a+(n-1)d][/tex]
Compute the sum as follows:
[tex]S_{n}=\frac{n}{2}\cdot [2a+(n-1)d][/tex]
[tex]=\frac{43}{2}\cdot [2\cdot 17+(43-1)\cdot 2]\\\\=43\cdot [17+42]\\\\=2537[/tex]
Thus, the total number of push-ups Jerry will have done when he reaches his goal is 2,537.
Which undefined geometric term can be described as a one-dimensional set of points that has no beginning or end?
which rule would best describes this pattern 8,4,10,6,12,8,14
Answer:
Subtract 4 and then add 6.
Step-by-step explanation:
8-4=4
4+6=10
10-4=6
6+6=12
12-4=8
8+6=14
The rule for this pattern can be subtracting 4, and then adding 6.
What is the question?
Answer:
(23, 4)
Step-by-step explanation:
If we use substitution, we need to rewrite the 2nd equation so we can substitute it into the first.
Step 1: Rewrite 2nd equation
x = 5y + 3
Step 2: Substitution
2(5y + 3) - 5y = 26
Step 3: Distribute
10y + 6 - 5y = 26
Step 4: Combine like terms
5y + 6 = 26
Step 5: Isolate y
5y = 20
y = 4
Step 6: Find x
x - 5(4) = 3
x - 20 = 3
x = 23
And we have our final answer!
Answer:
(23,4)
Step-by-step explanation:
x-5y=3
+5y=+5y
x=3+5y
-- Plug that into X for the other Equation
2(3+5y)-5y=26
Solve for y
2(3+5y)-5y=26
Distribute the 2
6+10y-5y=26
Simplify
6+5y=26
-6 =-6
5y=20
(divide by 5)
y=4
plug 4 in the either equation and solve for x
x-5(4)=3
x-20=3
+20=*20
X=23
What is the nth term of the following sequence……… 8, 3, -2, -7………..explain clearly aswell
8, 3, -2, -7
basically
you have to figure how to get from one term to the other. so in this case, to get from 8 to 3, you have to minus 5. and same again to get from 3 to -2, you again have to -5.
so the first past of the answer is -5n.
then after that, you have to figure out how to get from -5, to the first term of your sequence. so you have to add 13, in this case.
your answer would then be
-5n + 13Answer:
-5x + 13
Step-by-step explanation:
to find the nth term, you must find the difference between each consecutive given terms.
So,
8 and 3 = -5
3 and -2 = -5
-2 and -7 = -5
This is the m in the equation mn+c
c is the value you must add to -5n when n is 1
Hope this helps
The following table shows the number of medals won in the 2008 Olympics for swimming by the top five countries.
Country
Number of Medals
USA
31
Australia
20
Great Britain
6
China
6
France
6
How many degrees will the Australia section be in a circle graph of this data?
52
20°
29°
104
Answer:
I believe it is 104 degrees.
Step by Step: First, You add all the medals for all the countries, giving you 69. Then, you make Australia's medals a fraction of 69, so 20/69. After this, since a circle has 360 degrees, you make x/360 and cross multiply. This takes you to 69x=7200. Now divide 7200 by 69, which gets you 104.347, or 104 degrees.
Answer:
104 deg
Step-by-step explanation:
Total number of medals: 31 + 20 + 6 +6 + 6 = 69
Number of Australian medals: 20
Fraction of total medals won by Australia: 20/69
A circle has a total of 360 deg.
Since Australia has 20/69 of the medals, it will have 20/69 of 360 degrees in the circle graph.
20/69 * 360 = 104.3
Answer: 104 deg
Which fraction is closer to 1 than 0?
3
8
5
10
7
12
6
14
Answer:
[tex]7/12[/tex]
Step-by-step explanation:
[tex]3/8=0.375[/tex]
[tex]5/10=0.5[/tex]
[tex]7/12 \approx 0.58333333333[/tex]
[tex]6/14 \approx 0.42857142857[/tex]
Therefore, 7/12 is the closest to 1 than 0.
a gram is equevalint to 0.0353 ounces one ounce is how may grams round to the nearest tenth
Answer:
28.3
Step-by-step explanation:
Since 1 gram = 353/10000 ounces, then to make the right side 1, you must multiply by the reciprocal, or 10000/353 to make it 1. Then you get 10000/353 grams = 1 ounce. Now, we divide and round to the nearest tenth. This is 28.3 grams.
What is the value of a in the equation 3a+b = 54, when b = 9?
15
18
21
27
Answer:
15
Step-by-step explanation:
3a+9=54
-9 -9
3a=45
:3 :3
a=15
Hey u! I need help simplify this expression
Divide £506 in the ratio 2:4:5
Answer:
£92 , £184 and £230
Step-by-step explanation:
Total = £506
Ratio = 2:4:5
Total Parts: 2+4+5 = 11
Part 1:
=> [tex]\frac{2}{11}* 506[/tex]
=> 2 * 46
=> £92
Part 2:
=> [tex]\frac{4}{11}* 506[/tex]
=> 4 * 46
=> £184
Part 3:
=> [tex]\frac{5}{11}* 506[/tex]
=> 5 * 46
=> £230
Answer:
Step-by-step explanation:
£506
2+4+5=11
506/11=46
2x46=£92
4x46=£184
5x46=£230
92+184+230=£506
What value of x is in the solution set of 8x - 6 > 12 + 2x?
-1
e Of
3
5
Answer:
x > 3
Step-by-step explanation:
Step 1: Isolate x
6x -6 > 12
6x > 18
Step 2: Divide
x > 3
Find the area of the following shape, given its curves are made from parts of circles with diameters indicated on the diagram. Give your answers in terms of π .
Answer: Area = 26π + 20 cm²
Step-by-step explanation:
There are 2 large semicircles = 1 large circle
There are 2 small semicircles = 1 small circle
There is 1 rectangle.
Find the Area of each shape above and then find their sum.
1) Large Circle: A = πr², d = 10 --> r = 10/2 = 5
A = π(5)²
= 25π
2) Small Circle: A = πr² , d = 2 --> r = 2/2 = 1
A = π(1)²
= π
3) Rectangle: A = length × width, L = 10 w = 2
A = 10 × 2
= 20
Total = Large + Small + Rectangle
= 25π + π + 20
= 26π + 20
I just wanted to say that the person who wrote the actual answer is a life saver and that answer is very correct :)