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 :)
what is the value of d/dx(1/x) at x=6 ?
If you know your derivative rules, then
d/dx [1/x] = -1/x ²
so that when x = 6, the derivative has a value of -1/36.
If you have to use the definition of the derivative, then
d/dx [1/x] = lim {h → 0} (1/(x + h) - 1/x) / h
… = lim {h → 0} (x - (x + h)) / (hx (x + h))
… = lim {h → 0} (-h) / (hx (x + h))
… = lim {h → 0} (-1) / (x (x + h))
… = -1/x ²
and at x = 6, you again get -1/36.
Alternatively, use the definition of the derivative at a point:
d/dx [1/x] (6) = lim {x → 6} (1/x - 1/6) / (x - 6)
… = lim {x → 6} ((6 - x) / (6x)) / (x - 6)
… = lim {x → 6} -(x - 6) / (6x (x - 6))
… = lim {x → 6} (-1) / (6x)
… = -1/36
On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42?
Answer:
(-80538738812075974)^3 + 80435758145817515^3 + 12602123297335631^3 = 42
Step-by-step explanation:
This is obviously a bait question.
The perimeter of a square is 20 in. What is its area? Label the square. How long is each side of the square?
Answer:
5
Step-by-step explanation:
If the whole square is 20in and there are four sides, then divide 20/4 which is 5
(I think)
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.
how do I increase 36 by 40%
Take 36 multiplied by 1,4
[tex]36 \times 1.4 = 50.4[/tex]
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
Find the area of the isosceles triangle.
20 cm
20 cm
32 cm
Answer:
20 cm
Step-by-step explanation:
just a guess since there isn't a pic
which equation is equivalent to 4(a-3)
Answer:
12-4
Step-by-step explanation:
What’s the answer please
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:
Solve for indicated side
Your Answer:
Question 4 options:
Answer
Answer: x=10
Step-by-step explanation:
Picture below.
Explain answer !!
( WILL GIVE BRAINLEST)
Answer:find the solution to the system of equations below.start by adding the equation
{-2x+2y=-8
{2x+y=5
Step-by-step explanation:The given system of equation are:
1---- y= x -4
2----- y=4 x+2
Equation (1) - Equation (2)
→0= x -4 - (4 x+2)
→0= -3 x -6-----[Adding and subtracting like terms]
Adding 3 x on both sides
→3 x= -6
Dividing by 3 on both sides
→x = -2
→Substituting the value of x in equation 1, we get
y= -2 -4
y =-6
→Solution set =(x,y)=(-2, -6)
Don't used the graph to find the solution.
Find sides of a triangle with only the hyp and angles? I'm really confused
Answer:
x = 10√3
y = 10
Step-by-step explanation:
Step 1:
x = r·cos(30°)
y = r·sin(30°)
Step 2:
x = 20·√3/2 = 10√3
y = 20·1/2 = 10
However, there is a shortcut. Since there is a hypotenuse, there is a 90° angle. You are given a 30° angle, so the triangle is 30°-60°-90°.
The sides of a 30°-60°-90° triangle are in the ratio 1:√3:2.
The side opposite the 90° angle has length 20, so the side opposite the 30° angle has length 10, and the side opposite the 60° angle has length 10√3.
The length of a rectangle is four times its width. If the area of the rectangle is 100in2 , find its perimeter.
What is
8v+w+7−8v+2w
Answer:
3w+7
Step-by-step explanation:
Let's simplify step-by-step.
8v+w+7−8v+2w
=8v+w+7+−8v+2w
Combine Like Terms:
=8v+w+7+−8v+2w
=(8v+−8v)+(w+2w)+(7)
=3w+7
8 less than six times a number y
PLZ HLP The figures are similar. Find x.
Answer:
if it is similar it would be 19
Step-by-step explanation:
help—————————————————
Answer:
False
Step-by-step explanation:
The range of the function is the set of all possible y values, in our case that would be {5, 6, 8, 13}, there for the range of the function is not {2, 4, 5, 6}, therefore the statement is false.
11 b = 5, what is a
B. 25
C, 75
D. 125
Answer:
2.2
Step-by-step explanation:
diego has some money in his bank account before he starts a summer job. he deposits the money from the summer job in his bank account and doesn't spend any of it. After working 3 hours, he has $71 in the account. After working 12 hours, he has $134 in the account.
How much money does diego earn per hour
Answer:
About $23.77 per hour.
Step-by-step explanation:
Just thank me later and click the crown at the top of this answer if this helped ;)
The Diego earn [tex]\$ 7[/tex] per hour.
Calculation:Given that,
After working 3 hours, he has $71 in the account.
After working 12 hours, he has $134 in the account.
It means that, After working 9 hours,
Diego earn [tex]=134-71=63[/tex]
In 9 hours, earning [tex]=63\$[/tex]
In one hour, earning [tex]=63/9=\$7[/tex]
Learn more about the per hour earning here:
https://brainly.com/question/536840
help me please ASAP!!!!
ummmmmm you dont need the explanation and I'd rather not type but trust me its d, good luck!
How Students Spend Their Time
EATING
8%
HOMEWORK
8%
WATCHING TV
13%
SOCIALIZING
13%
SLEEPING
33%
SCHOOL
25%
HOW STUDENTS SPEND THEIR TIME
[tex]14y {. \times \frac{?}{?} }^{2} [/tex]
15% eating, 25% homework, 2% tv, 0% socializing, 35% sleeping, 50% school for me
If x = -2, which inequality is true?
2x + 6 < -1
2x - 3 > 6
-5 + 3x > 1
3 - x < 10
Step-by-step explanation:
The answer of this question is -5 + 3x > 1
If my answer is wrong so I am really sorry for it
Last year Zack had two jobs.
Zack worked
.
in an office for 12 months and earned £2600 per month
at a gym for 39 weekends and earned £80 per weekend.
.
What fraction of his total income last year came from his work at the gym?
Write the fraction in its simplest form.
[tex]\frac{1}{11}[/tex] [tex]=0.909[/tex] of his total income last year came from his work at the gym.
What is fraction?
A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.
According to questions, Last year Zack had two jobs.
Zack worked in an office for [tex]12[/tex] months and earned £[tex]2600[/tex] per month
and at a gym for [tex]39[/tex] weekends and earned £[tex]80[/tex] per weekend.
We have to find the fraction of his total income last year came from his work at the gym.
Office Income[tex]=[/tex]£[tex](2600[/tex]×[tex]12[/tex][tex])[/tex] [tex]=[/tex]£[tex]31200[/tex]
Gym Income[tex]=[/tex]£ [tex](80[/tex]×[tex]39)[/tex][tex]=[/tex] £[tex]3120[/tex]
Total Income[tex]=[/tex]£ [tex]34320[/tex]
Fraction of his total income last year came from his work at the gym
[tex]=\frac{3120}{34320} \\=\frac{1}{11}[/tex]
[tex]=0.909[/tex]
Hence, we can conclude that [tex]\frac{1}{11}[/tex] [tex]=0.909[/tex] of his total income last year came from his work at the gym.
Learn more about fraction here:
https://brainly.com/question/18134643?referrer=searchResults
#SPJ2
is this the right answer?
Help.
Which graph represents the solution to 5 times a number, n, is less than 65?
Answer: help
Step-by-step explanation: I need help too
Please help will Mark brainlyest
Answer:
Lh i think ok so ok ok ok ok ok ok
What is the area of the composite shape?
20 points and a brainlest
Answer:
257.
Step-by-step explanation:
seperate the shapes. we know that the side on the left upper corner is 7 because 29 - 22. The we find the other missing side, which is 26 - 21, 5. then we multiplt the first "box" to find the area, 21 x 7 = 147. Then the second box 5 x 21 = 110. Add the two, and you find your answer. 257
What is the circumference of a circle with a diameter for 5 feet use 3.14 for n
Answer:
circumference=15.7 feet
Step-by-step explanation:
5x3.14=circumference=15.7
Answer:
15.7 feet
Step-by-step explanation:
The formula for circumference is [tex]2\pi r[/tex].
The radius is half of the diameter: 2.5 in this case.
2.5 x 2 is 5.
3.14 x 5 is 15.7.
Hope it helps!
Stephanie had 7/8 pound of birdseed she use 3/8 pound to fill the birdfeeder how much birdseed to Stephanie have left?
Answer:
4/8 or 1/2
Step-by-step explanation:
7/8-3/8= 4/8 or 1/2
Answer:
Stephanie has [tex]\frac{1}{2}[/tex] a pound of birdseed left.
Step-by-step explanation:
[tex]\frac{7}{8}[/tex] - [tex]\frac{3}{8}[/tex]
= [tex]\frac{4}{8}[/tex]
= [tex]\frac{1}{2}[/tex]