Answer:
L(13) = 200
Step-by-step explanation:
Linear function:
A linear function has the following format:
[tex]y = mx + b[/tex]
In which m is the slope(how much y changes when x changes by 1) and b is the y-intercept(value of y when x = 0).
Finding the slope:
L (5) = 100 and L (9) = 150.
The slope is given by the change in the output(L, which is equals to y in the general formula) divided by the change in the input(x).
Change in the output: 150 - 100 = 50
Change in the input: 9 - 5 = 4
Slope: [tex]m = \frac{50}{4} = 12.5[/tex]
So
[tex]y = 12.5x + b[/tex]
L (5) = 100
So [tex]y(5) = 100[/tex], which means that when [tex]x = 5, y = 100[/tex], and we use this to find b.
[tex]y = 12.5x + b[/tex]
[tex]100 = 12.5*5 + b[/tex]
[tex]b = 100 - 12.5*5[/tex]
[tex]b = 37.5[/tex]
So
[tex]L(x) = 12.5x + 37.5[/tex]
a. Determine the value of L (13)
L when [tex]x = 13[/tex]. So
[tex]L(13) = 12.5*13 + 37.5 = 200[/tex]
The cost of five books is $36.25. What is the unit price?
Step-by-step explanation:
Cost of 5 books = $ 36.25
Cost of 1 book = $36.25 / 5 = $ 7.25
The unit price is $ 7.25
Hope it will help :)
work out the volume of this sphere.
give your answer to 1 decimal place
Answer:
[tex]Volume = 1436.3cm^3[/tex]
Step-by-step explanation:
Given
[tex]Radius = 7cm[/tex]
Required
Determine the volume
This is calculated as:
[tex]Volume = \frac{4}{3}\pi r^3[/tex]
Substitute 7 for r
[tex]Volume = \frac{4}{3}\pi * 343[/tex]
Substitute 22/7 for [tex]\pi[/tex]
[tex]Volume = \frac{4}{3} * \frac{22}{7} * 343\\[/tex]
[tex]Volume = \frac{4}{3} * \frac{22}{1} * 49[/tex]
[tex]Volume = \frac{4312}{3}[/tex]
[tex]Volume = 1436.3333[/tex]
[tex]Volume = 1436.3cm^3[/tex] --- approximated
From the list of these numbers 3,5,7,12,15,18,20
What is a factor of 10
Help ASAP PLSSSSSSSSSSSSSSS
Answer:
=12x+42
Step-by-step explanation:
−3(4x+2)+6(4x+8)
Answer: 12x+42
Step-by-step explanation: −3(4x+2)+6(4x+8)
(−3)(4x)+(−3)(2)+(6)(4x)+(6)(8)
−12x+−6+24x+48
(−12x+24x)+(−6+48)
12x+42
HELP! 50 POINTS! 75 if I chose your answer as the best! easy!
Step-by-step explanation:
Question 1:
In the expression 4y - 6x² + 5 + 9x, there are
4 terms. (4y/6x²/5/9x) A term consists of a coefficient and a variable, or otherwise a constant term like 5.
Question 2:
4(6x - 5) - 7x
= (24x - 20) - 7x
= 17x - 20.
Therefore the correct answers are
the 1st and 2nd options.
Question 3:
3x - 8y + 11x - 4 + 5y
= (3x + 11x) + (5y - 8y) - 4
= 14x - 3y - 4.
The 4th option is correct.
Question 1
There are 4 terms.
They are 4y, 6x^2, 5, and 9x.
Terms are separated by operation signs (+, -, ×, ÷).
Even if a constant is multiplied by a variable, if there isn't a multiplication sign, it's one single term.
Question 2
Use the distributive property. Multiply the term outside the variable by the terms inside.
4×6x = 24x
4×(-5)=-20 (there's a negative sign incase you don't see it)
24x-20-7x
Since 24x and 7x are like terms, you can subtract them.
24x-7x=17x
17x-20
You can see the first and second choices are correct.
Question 3
Combine the like terms.
The like terms are
3x and 11x
-8y and 5y
-4
Add them all.
3x+11x=14x
-8y+5y=-3y
-4
So the expression simplified is...
14x-3y-4
It's the third choice.
PLEASE PLEASE PLEASE PLEASE PLEASE HELP
If sin B= 0.5678, what is the measure of
Answer:
sin B= 0.5678,
B=sin-¹(0.5678,)
B=34.59°
Ugh I need so much help please
Answer:
Step-by-step explanation:
Remember the SAS rule is that you know the measure of 2 sides and their angle in between. (Note that SSA side side angle DOESN'T work.) For the first question we know that sides JH and LM are congruent, and sides GJ and MK are as well. Secondly, we know that angles M and J are congruent. The question is; does this problem follow the SAS (side angle side) rule? Yes, their are two proven congruent sides on the two triangles, and the angle between them is proven congruent as well.
Second one is congruent because it follows the SSS rule (side side side) ie: all sides are congruent, so therefore the triangles are congruent.
Think about the third one. Is it congruent or not. (To be congruent it has to follow SSS, or SAS) Comment below so I can correct you.
Your savings account has a balance of $125. You add $22 a month to this balance.
Which equation shows your balance, b, in m months?
b(m) = $125 + $22m
m(b) = $125b + $22
m(b) = $125 + $22b
b(m) = $125m + $22
Answer:
Step-by-step explanation:
b
A student tries to solve the equation 2(x-7)=x-9. the student's work is shown to the right.
Describe any errors. Then solve the equation correctly
Answer:
I can't see what the student did to solve the equation so I'll just solve the equation step by step here.
Step-by-step explanation:
2(x-7)=x-9
2x-14=x-9 Use distributive property to solve the parenthesis
x-14=-9 Subtract the x on both sides
x=5
Answer:
See step by step
Step-by-step explanation:
He didnt use the distributive property.
How to solve it is
[tex]2(x - 7) = x - 9[/tex]
[tex]2x - 14 = x - 9[/tex]
[tex]x - 14 = - 9[/tex]
[tex]x = 5[/tex]
The length of a rectangle is four times its width. If the area of the rectangle is 100in2 , find its perimeter.
Find the sum of 4 1/2 + 5 1/2
Answer:
10
Step-by-step explanation:
I used a calculator
A baker made 9 cupcakes, each a different type. Four people want to share them equally. How many cupcakes will each person get? What is the correct division expression?
Answer:
each person gets 2 1/4 of a cupcake
Step-by-step explanation:
the correct division expression is 9/4=the amount of cupcakes each person gets
-4x - 9 = 19
Find x please! (Please explain how you did it too)
Answer:
x= - 7
Step-by-step explanation:
-4x= 28
x=28/-4
Which of these was not a factor in the build up to World War I?
Question 3 options:
A familial dispute amongst monarchs as to who inherited territory in the Balkans.
Alliances that set-up a network of countries ready to support one another if they were attacked.
Nationalist sentiments feeding national pride and a desire for independence from empires.
Militarism provoking a build up of arms and military forces.
20 points for answering
Answer:
A familial dispute amongst monarchs as to who inherited territory in the balkans.
Step-by-step explanation:
I learned from my mistake and it gave me that this was the answer.
Goodluck
Answer:
A.) A familial dispute amongst monarchs as to who inherited territory in the Balkans
Explanation:
I took the test.
Audrina debate Bonnie uses Niners free that her opinion 6 minutes to rebut the opposite option and 5 minutes to summarize what percent of the time did she spend summarizing
Answer
i think its like 20 percent
Step-by-step explanation:
Find the output, g, when the input, r, is 4.
g=25−3r
plzzzzzz help me i need to finish
Answer: g = 13 / Thats the output
Step-by-step explanation:
g = 25 - 3r
Its telling you the r is 4 since its the input.
g = 25 - 3 ( 4 ) see!! just plug in the number
Now Solve
g = 25 - 12
g = 13
Answer:
g = 13
Step-by-step explanation:
since r = 4, you make the equation :
g=25-3(4)
first you multiply 3 and 4 and you get 12
g=25-12
and 25 - 12 is 13 which equals :
g = 13
GEOMETRY PLZZZZZ HELPPPPP
Answer:
(x,y) becomes (-y,x) so (3,2) would become (-2,3)
There is a bag filled with 6 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 of the same colour?
PLZ answer fast urgant help needed!
Answer:
0.5041 = 50.41% probability of getting 2 of the same colour
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
What is the probability of getting 2 of the same colour?
Both blue or both red
Since they are replaced, we have, in each trial:
6 blue from a set of 6 + 5 = 11
5 red from a set of 6 + 5 = 11
Probability of both blue:
Each with 6/11 probability. So
[tex]P = (\frac{6}{11})^2 = \frac{36}{121}[/tex]
Probability of both red:
Each with 5/11 probability. So
[tex]P = (\frac{5}{11})^2 = \frac{25}{121}[/tex]
Total:
[tex]p = \frac{36}{121} + \frac{25}{121} = \frac{61}{121} = 0.5041[/tex]
0.5041 = 50.41% probability of getting 2 of the same colour
pls answer asap
Which of these helped the Spanish defeat the Aztec Empire?
a Cortes's alliances with the Aztec's local enemies
b Montezuma's initial refusal to meet with Cortes
c the Spanish army's greater size
d Cuzco's geographic location
Answer:
43
Step-by-step explanation:
Evaluate: –mp where m = 4, p = 2
Answer:
-8
Step-by-step explanation:
-4(2)=-8
I like your profile picture
Step-by-step explanation:
given is an amazing anime
Sarah read 215 pages of her book during the first week of vacation. During the second week she read 62 more pages then the first week. How many pages did she read in 2 weeks?
Answer:
492 Pages
Step-by-step explanation:
215+62=277
277+215=492
If Ira runs at the same rate, how many laps can they run in 20 minutes?
Answer:
it is roughly 15.3 laps (i rounded 1.6666666666667 to 1.7) i'll explain
Step-by-step explanation:
ratio of laps to minutes: 9:12,
20/12 = 1.6666666666667 rounded to 1.7
9 x 1.7 = 15.3
sorry that i had to round and that it is a little off, hoped i helped you tho
7x-5y=1
1 (-3,-2)
2(-2,-3)
3(0,4)
4(4,0)
Answer:
B. 2(-2,-3)
Step-by-step explanation:
First we would plug it in.
7(-2)-5(-3)=1
Combine like terms
-14+15=1
Add
1=1
Therefore, your answer be would B
During a sale, a grocery store gives every 13th customer a free loaf of bread. If 910 customers visit the store, how many loaves of bread does the store give away for free?
Answer:70
Step-by-step explanation:910/13=70 so he gives away 70 loafs of bread.
Wyatt took a taxi from his house to the airport. The taxi company charged a pick up fee of $1 plus $2 per mile. The total fare was $29 not including the tip. How many miles was the taxi ride
Answer:
THe taxi ride was 18 miles
Step-by-step explanation:
I know this because 14x2=28 and they said the total was $29 and there was a $1 pickup fee
Answer:
14 miles
Step-by-step explanation:
29(the total sum) minus 1(the base fee) 28 divided by 2 equals 14 miles
need help with 12 13 and 14
Answer:
12
10(3w)=6*5
30w=30
w=1
(not sure if youre meant to just have the equation or find w)
13
48°F
14
€1.25
Step-by-step explanation:
12
The floor area is found by multiplying its length by its width: 6*5=30
The amount of area covered by one tile is found by multiplying its length by its width: 3*w=3w.
Ten tiles are used to cover the floor, so the floor area should be equal to ten times the tile area:
10(3w)=6*5
30w=30
w=1
(not sure if youre meant to just have the equation or find w)
13
35°F is 13°F lower than the high temp. So, add 13°F to find the high temp.
35+13=48°F
14
Sixteen bagels cost €20. To find the price of one, we divide the price by the amount bought: 20/16=1.25
Given f (x) = 1/2 * x - 5 find f ^ -1 * (x)
Answer: d i think im pretty sure
Step-by-step explanation:
Camila discovers that she has a leak in her front tire after leg 3. How far did she bike before she discovered the leak?
20.93 miles
32.31 miles
20.92 miles
41.85 miles
Answer:
Step-by-step explanation:
Translate and solve: n divided by 8 is −32.
Answer:
n = -256
Step-by-step explanation:
multiply -32 and 8 to find out what n is, in this case n = -256. If you'd like, you can check the answer by dividing -256 by 8.
A. given
B. substitution property of equality
C. linear pair postulate
D. definition of a linear pair
Help asap please