Answers
Answer:
24
Step-by-step explanation:
Because you multiply the base x the height to get the are of a figure
Answer:
12cm^2
Step-by-step explanation:
Multiply base times height
3 x 824Divide product by 2
24 ÷ 212Related Questions
A scatter plot is made with the data shown:
Number of Weeks in Business 1 2 3 4 5 6 7 8 9
Number of Customers 0 2 4 6 8 10 12 14 16
What type of association will the scatter plot for this data represent between the number of weeks in business and the number of customers? (4 points)
a
No association
b
Positive linear association
c
Negative linear association
d
Positive nonlinear association
Answers
To make popcorn, a movie theater uses 6 tablespoons of oil for each cup of popcorn kernels.
Answers
Answer:
1. 18
2. 36
3. Not sure, but I think 7
How do you find the equation of each function? Function A is f(x)=3x^2 and Function C is f(x)=18x-16. How do you get those? And then how do you get the equation for Function B? Thanks!
Answers
Answer:
[tex]f(x) = 3^x[/tex] --- Function A
[tex]f(x) = x^2 - 5[/tex] --- Function B
[tex]f(x) = 18x -6[/tex] --- Function C
Step-by-step explanation:
Solving (a): Equation of Function A
An exponential equation is represented as:
[tex]y = ab^x[/tex]
From the graph of function A,
[tex]x = 0\ when\ y = 1[/tex]
[tex]x = 1\ when\ y = 3[/tex]
For: [tex]x = 0\ when\ y = 1[/tex]
[tex]y = ab^x[/tex] becomes
[tex]1 = ab^0[/tex]
[tex]1 = a[/tex]
[tex]a =1[/tex]
For: [tex]x = 1\ when\ y = 3[/tex]
[tex]y = ab^x[/tex] becomes
[tex]3 = a*b^1[/tex]
[tex]3 = a*b[/tex]
Substitute 1 for a
[tex]3 = 1*b[/tex]
[tex]3 = b[/tex]
[tex]b = 3[/tex]
[tex]y = ab^x[/tex] becomes
[tex]y = 1*3^x[/tex]
[tex]y = 3^x[/tex]
Replace y with f(x)
[tex]f(x) = 3^x[/tex]
Solving (b): Equation of Function B
A quadratic equation is represented as:
[tex]y = ax^2 + bx + c[/tex]
From the table of function B,
[tex]x = 3\ when\ y =4[/tex]
[tex]x = 5\ when\ y =20[/tex]
[tex]x = 6\ when\ y =31[/tex]
For: [tex]x = 3\ when\ y =4[/tex]
[tex]y = ax^2 + bx + c[/tex] becomes
[tex]4 = a*3^2 + b*3 + c[/tex]
[tex]4 = a*9 + 3b + c[/tex]
[tex]4 = 9a + 3b + c[/tex]
For [tex]x = 5\ when\ y =20[/tex]
[tex]y = ax^2 + bx + c[/tex] becomes
[tex]20 = a*5^2 + b*5 + c[/tex]
[tex]20 = a*25 + b*5 + c[/tex]
[tex]20 = 25a + 5b + c[/tex]
For [tex]x = 6\ when\ y =31[/tex]
[tex]y = ax^2 + bx + c[/tex] becomes
[tex]31 = a*6^2 + b*6 + c[/tex]
[tex]31 = a*36 + b*6 + c[/tex]
[tex]31 = 36a + 6b + c[/tex]
So, we solve for a, b and c in:
[tex]4 = 9a + 3b + c[/tex]
[tex]20 = 25a + 5b + c[/tex]
[tex]31 = 36a + 6b + c[/tex]
Make c the subject in [tex]4 = 9a + 3b + c[/tex]
[tex]c = 4 - 9a - 3b[/tex]
Substitute [tex]c = 4 - 9a - 3b[/tex] in [tex]20 = 25a + 5b + c[/tex] and [tex]31 = 36a + 6b + c[/tex]
[tex]20 = 25a + 5b + c[/tex] becomes
[tex]20 = 25a + 5b + 4-9a-3b[/tex]
Collect Like Terms
[tex]-4+20 = 25a -9a+ 5b -3b[/tex]
[tex]16 = 16a+ 2b[/tex]
Divide through by 2
[tex]8 = 8a + b[/tex]
[tex]c = 4 - 9a - 3b[/tex]
[tex]31 = 36a + 6b + c[/tex] becomes
[tex]31 = 36a + 6b + 4 - 9a - 3b[/tex]
Collect Like Terms
[tex]-4+31 = 36a - 9a+ 6b - 3b[/tex]
[tex]27 = 27a+ 3b[/tex]
Divide through by 3
[tex]9 = 9a + b[/tex]
Solve for a and b in: [tex]8 = 8a + b[/tex] and [tex]9 = 9a + b[/tex]
Subtract both equations:
[tex]8 - 9 = 8a - 9a + b - b[/tex]
[tex]8 - 9 = 8a - 9a[/tex]
[tex]-1 = -a[/tex]
Divide both sides by -1
[tex]1 = a[/tex]
[tex]a = 1[/tex]
Substitute 1 for a in [tex]9 = 9a + b[/tex]
[tex]9 = 9*1 + b[/tex]
[tex]9 = 9 +b[/tex]
Subtract 9 from both sides
[tex]9-9=9-9+b[/tex]
[tex]0=b[/tex]
[tex]b = 0[/tex]
Substitute [tex]b = 0[/tex] and [tex]a = 1[/tex] in [tex]c = 4 - 9a - 3b[/tex]
[tex]c = 4 - 9*1-3*0[/tex]
[tex]c = 4 - 9-0[/tex]
[tex]c = -5[/tex]
So, the equation is:
[tex]y = ax^2 + bx + c[/tex]
[tex]y=1*x^2 +0*x-5[/tex]
[tex]y=x^2 -5[/tex]
Replace y with f(x)
[tex]f(x) = x^2 - 5[/tex]
Solving (c): Equation of Function C
This is calculated using:
[tex]f(x) =a + (x -1)d[/tex]
Where
[tex]a = 12[/tex] -- the first term
d = the difference between successive terms
[tex]d = 30 -12 = 48-30 = 66 -48[/tex]
[tex]d =18[/tex]
So, we have:
[tex]f(x) =a + (x -1)d[/tex]
[tex]f(x) = 12 + (x - 1)*18[/tex]
Open bracket
[tex]f(x) = 12 + 18x - 18[/tex]
Collect Like Terms
[tex]f(x) = 18x - 18+12[/tex]
[tex]f(x) = 18x -6[/tex]
Dora is baking a pie. The diameter of the pie is 9 inches. What is the area of the pie? Use 3.14 for pi and round your answer to the nearest tenth.
Answers
Answer:
63.62
Step-by-step explanation:
Please show work!!!!!!
Answers
Answer:
3×30000×10/100
3×300×10
30×300
9000
the answer is b $9000
is this correct answer
First right equals brainliest, Pls dont answer for the points this is serious. I just need this and 3 more which I will ask later. Anyway I am making this worth more points because I need help:)
Answers
I can't see the picture, can you please explain the problem in the comment bar below this so can edit my answer to help?
halp me plez I dont wanna fail ( MUST BE A EXPRESSION)
Answers
Answer:
2x+15=33
Step-by-step explanation:
Let n be the number of days he has been doing sit ups, not counting the first day. Since he does 2 more sit-ups for each day, then the number of additional sit-ups is 2n.
Since he started doing 15 sit-ups on the first day, the total number of sit-ups
after x days would be 2n+15.
Since he did a total of 33 sit ups today, then 2n+15=33
A triangle is formed by intersecting lines.
What is the measure of angle x?
Answers
So 180-90 (right angle) - 51 (other known angle) = 39
triangles only go up to 180° and that triangle already has a 90° right angle and a 51° acute angle. so the answer is 39°
what are facts about cross-sections (math)?
Answers
Answer: A cross section is the shape we get when cutting straight through an object.
Step-by-step explanation:
HELP The figure below has a point marked with a large dot. First, reflect the figure across the y-axis. Then, give the coordinates of the marked point in the original figure and the final figure.
Answers
Answer: points in original figure (-6, 2)
Points in final figure (6, 2)
Step-by-step explanation:
First reflect the figure over the y axis. Then you can see that y is still 2 and that d has now become positive 6
Put those values in as (6,2) for the final figure
Cassie has $400 in her account. On average, she deposits $8 into her account every day, for m days. Write an expression to determine how much money will be in her account after m days.
Answers
Answer:
400 + 8m
Step-by-step explanation:
Starts with $400 in her account. Every day (we'll use the variable m for the number of days), she deposits $8.
400 + 8m
If you were to be asked how much money she has in her bank account after 10 days, you plug in 10 for m. Same for any other number of days.
explanation : 400 in her account, 8 every day for (m) days
Find the area of the polygon, the vertices are (1,4) (2,1) (4,1) (5,4)
Answers
Answer:
Hello
Step-by-step explanation:
SOLVE THE EQUATION!!!!!!!!
Answers
Answer:
c = 2.6 = [tex]\frac{13}{5}[/tex] = 2 [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
d = 0.26 = [tex]\frac{13}{50}[/tex]
Hope this helps
I know what the equation for these problem is and what x is but what is < measures? Are these measures the same? I could have asked the teacher but what if she think that I am annoying.
Answers
Answer:
"x" is the actual value of x, <measures is the measures of the angles itselfs. so insert x into the expression to find the angle measure.
Step-by-step explanation:
Answer:
90 degree
Step-by-step explanation:
total angle is the sum of x-18 and x
since the figure is forming right angle so angle is 90 degree
90=x-18 +x
x=54
HELP ASAP!!!!! Find the lateral surface area and the total surface area of each figure. round to the nearest tenth if needed. SHOW ALL WORK. (Will give brainliest for correct answer and explanation on what to do)+
Answers
Answer:
(1-2) LS = 288cm² TS = 378cm²
(3-4) LS = 1419.2 TS = 1673.5
(5) LS = 543 TS = 606
Step-by-step explanation:
(1-2)
7 1/2 = 7.5
7.5 x 15 = 112.5
9 x 12 ➗ 2 = 54
54 x 2 = 108
9 x 7.5 = 67 .5
(3-4)
3.14 x 81 = 254.3
(5)
9 x 15 = 135 x 2 = 270
15 x 7 = 105 x 2 = 210
9 x 7 = 63
(add)
hello m8 im back- i got logged out but i reset my pass lol
Answers
Answer:
Why'd someone report you
Step-by-step explanation:
Answer: Greater than
is this expression fully simplified? Explain
4x2 + 10 - x - 6x3
Answers
Answer:
-x
Step-by-step explanation:
pls answer quick rjwejriwejriwekr
Answers
Answer: $181.48 O_O
Step-by-step explanation: i know that stuff
Answer:
$530.48
Step-by-step explanation:
i can answer now yay
Lucinda began the year with a certain balance in her bank account. During the first month, she made 3 withdrawals of $25 each. During the second month, she made 7 withdrawals of $25 each.
Which two of the following expressions represent the change in the balance of Lucinda's account during the first two months of the year?
A. −25(3+7)
B. −25(3−7)
C. 3(25)−7(25)
D .3(−25)+7(−25)
E. 3(−25)−7(−25)
Answers
Answer: -525
Step-by-step explanation:
You earn $60 for mowing 5 lawns. How much do you earn for mowing 15 lawns? Complete the ratio table to help you solve the problem. Write your answer in a complete sentence.
Answers
780,000 divided by 10=?
Answers
Answer:
the answer is 78,000
Step-by-step explanation:
your welcome
Just do this in your head,780/10=78 then add on the three zeros from 780000 that you didnt use. 78>>> 78000
Answer=78000
Larry and Zach have both been hired to do odd jobs. Larry will receive $7 for each of the 3 flower beds he weeds and y dollars to edge a yard. Zach will receive $25 to clean out a garage and y dollars to wash a car. Both Larry and Zach need to make x dollars to meet their goal. Write an expression for the amount each still has to earn to reach his goal.
Answers
Answer:
Larry :
$21+$Y >$X
Zach :
$25+$Y>$X
Need help ASAP BRAINLIEST IF CORRECT
9x - 4 = (16x + 4)/2. Find x.
.......................................................................................................................................
Answers
Answer:
X=6
Step-by-step explanation:
Answer: x=6
Step-by-step explanation: Solve for x by simplifying both sides of the equation, then isolate your variable.
I hope this helps.
I need this quickly they both need expressions I think so
(will mark brainlist if right)
Answers
Answer:
1 - 155 +27n
2- 2x+15=33
Step-by-step explanation:
hope this helps
I need this answer now pls!! Also the right answer
Answers
Answer:
Yes the truck can fit into the space, the trucks area is 83.16 ft squared
Step-by-step explanation:
12.1 x 6.6 = 83.16 and area is always squared
also 83.16 is less than 216 so it can fit
I will give brainliest to whoever helps me with this question. Also, if you could please explain to me how you solved it I would appreciate it! (this is Pythagorean Theorem if your wondering).
Answers
Answer:
35 squared plus x squared equals 78 Squared
which makes your answer
69.7
Step-by-step explanation:
Answer:
35 square + x square 78 square
= 69.7
Step-by-step explanation:
Need Help, Pleaseeeeeeeee.
Answers
5.6^-5 • 5.6^3
And the exponents would go like -
-5 + 3 = -2
5.6^-2
3.4^-4 • 3.4^-7
-4 + -7
3.4^-11
5.6^-2 • 3.4^-11
Answer: D
find the area of the figure
A) 450MM
B) 67,500 MM
C) 600MM
D)150MM
Answers
Answer:
30x15= 450
15+15=30
1/2 x 30 x 10 = 150
450+150=600
Step-by-step explanation:
Four students set up a lemonade stand. At the end of the day, their profit is $17.52. How much money do they each have when the profit is split equally?
Answers
Answer:
$6
Step-by-step explanation:
Please help me, smart people
sincerely,
-not smart person