Step-by-step explanation:
1.
36
2×18
2×9
3×3 therefore prime factorization is 2²×3²
2.
42
2×21
3×7 therefore prime factorization is 2×3×7
3.
48
3×16
2×8
2×4
2×2 therefore prime factorization is 2⁴×3
4.
27
3×9
3×9 therefore prime factorization is 3³
[Calculus] analyze speed from position. Show steps, please!
Answer:
B
Step-by-step explanation:
We are given that the position of a particle is modeled by the function:
[tex]s(t)=2t^3-24t^2+90t+7[/tex]
And we want to find the times for which the speed of our particle is increasing.
In other words, we want to find the times for which our acceleration is positive (a(t)>0).
So first, we will find our acceleration function. We can differentiate twice.
By taking the derivative of both sides with respect to t, we acquire:
[tex]\displaystyle s^\prime(t)=v(t)=\frac{d}{dt}\big[2t^3-24t^2+90t+7\big][/tex]
Differentiate:
[tex]v(t)=6t^2-48t+90[/tex]
This is our velocity function. We can differentiate once more to acquire the acceleration function. Therefore:
[tex]\displaystyle v^\prime(t)=a(t)=\frac{d}{dt}\big[6t^2-48t+90\big][/tex]
Differentiate:
[tex]a(t)=12t-48[/tex]
If our speed is increasing, our acceleration must be positive. So:
[tex]a(t)>0[/tex]
By substitution:
[tex]12t-48>0[/tex]
Now, we can solve for t:
[tex]12t>48\Rightarrow t>4[/tex]
Therefore, the only interval for which the speed of the particle is increasing (i.e. the acceleration is positive) is for all times t>4.
So, our answer is B.
Guys help me please I need the solution. Find x and y
Find the slope intercept equation of the line
Answer: The answer is y=2x-2
Step-by-step explanation: Slope intercept form is y=mx+b. m= the slope and b=the y-intercept (the point on the y axis that the line crosses). The slope using rise/run is -2/1 making m=2 and the point on the y axis where the line intercepts is -2.
could someone help me? thank you <3
Answer:
<
Step-by-step explanation:
because -4 is greater than -7
WHATS 10/7 divided by 4
Answer:
10/28
Step-by-step explanation:
You work on a concrete crew starting a construction project. Once the pouring begins, it must continue non-stop until it is completed. Your crew will work an 8-hour shift along with two other crews. The total project requires 175,000 yards of concrete. Your supervisor estimates that each crew will pour around 1200 yards per hour. How many consecutive days should you plan to work on this project? A3 B.6 C. 18 D. 27
I need to know the explanation on how to find the answer out as well, please and thank you.
Answer:
C
Step-by-step explanation:
A triangle has two sides of length 4 and 13. What is the smallest possible whole-number length for the third side?
no trolls!
Answer:
9 i think but make sure
Step-by-step explanation:
well, a squared+b squared=c squared
13 squared-4 squared is 9 squared
can you help me
3(x+2)=2(x+5)
Answer: x = 4
Step-by-step explanation:
3(x+2)=2(x+5)
3x + 6 = 2x + 10
x + 6 = 10
x = 4
please anwser this for me!!
Answer:
Concept: Functions
In order to be a function, the values must satisfy the qualities stated below.No element in the domain and range of x corresponds to more than one representative value: ie x=2 and y= 8 but it cannot be that x=4 also.No element in the range can represent multiple values Hence we see in the chart that each x represent to a unique y and vise versa.So we determined that this is a functionSimplify algebraically
Answer:
600,000,000
Step-by-step explanation:
Simplify the expression.
Scientific Notation:
6 ⋅ 10 ^8
Expanded Form:
600000000
3*10³/5*10-⁶
3*10⁹/5
600000000 or you can write 6*10⁸
9. A cell phone can be purchased from the manufacturer for $160. The online retailer has a
standard markup of 30%, and the store has a standard markup of 40%.
(a)What is the price of the cell phone when purchased online?
(b)What is the price of the cell phone when purchased at the store?
(c) Which is the better deal?
Answer Below
30% of 160 is 48 dollars. Meaning you would take the 48 from 160. Leaving 112.So the 30% mark up would mean you would pay $112.Saving $48.
Take the 160 dollar,and have the 40% to work with. Taking this would be $64. So 160-64 is $96. They will spend $96 on the phone in-store
Purchase online- $112
Purchase in-store-$96
The better deal is in-store
Answer:
(A) $208 (B) 224 (C) the online one. it cost less
Step-by-step explanation:
(A) find 30% of $160 and add it to 160. put that answer in dollars.
(B) find 40% of $160 and add it to 160. put that answer in dollars.
(C) it is the one that costs less
An assistant cook peeled 18 potatoes in 6 minutes. At this rate, how many potatoes can he peel in 50 minutes?
Answer:
[tex]150[/tex] potatoes
Step-by-step explanation:
Since the assistant can peel [tex]18[/tex] potatoes in [tex]6[/tex] minutes, we know that he can peel [tex]\frac{18}{6}=3[/tex] potatoes in [tex]1[/tex] minute. Therefore, he will be able to peel [tex]3*50=150[/tex] potatoes in [tex]50[/tex] minutes. Hope this helps!
snog used unitary method to find the answer.
ALITER:-
Given,
Potatoes peeled in 6 minutes = 18
Let, potatoes cooked in 50 minutes = k
Here, more the time passes, the more the assistant peels potatoes.
∴ It is a case of direct variation,
where,
x/y = k (constant)
So, 18/6 = k/50 (potatoes peeled/time)
⇒ k = 3 × 50 = 150 (answer).
Which expression is equivalent to 4/6/3/2
Answer:
the 3rd one
Step-by-step explanation:
I had this question on edgunity
David concludes that 7x^2will always output larger values than 2^x for the same value of x. Do you agree? Explain your reasoning.
Answer: False. One counter example is when x = 10.
When x = 10, we have
7x^2 = 7*10^2 = 7*100 = 700
2^x = 2^100 = 1.27 * 10^30
The result of 2^x is much larger than 700. The result is so large that we must use scientific notation to be able to fit it on the page. We could write out all the digits, but we would need 30 or more digits.
As a visual to see that 2^x will be larger at some point, I recommend graphing y = 7x^2 and y = 2^x together on the same xy grid. See the graph below. The two curves intersect at point A, which is roughly when x = 9.22; anything beyond this x value will have 2^x be larger than 7x^2.
Kim, Mary and Erin made a total of 24 dozen cookies. Mary made twice as many cookes as Erin and Kim made 2 more dozen cookies than Erin. How many cookies did Erin make
Answer:
Erin made 5.5 dozen cookies.
Step-by-step explanation:
Total cookies made by Kim, Mary and Erin = 24 dozen cookies
Let Erin make cookies = x dozens
Mary made cookies = 2x dozens
Kim made cookies = x+2 dozens
Now, we need to find how many cookies did Erin made.
We can write:
[tex]x+2x+x+2=24[/tex]
Solving the equation we get:
[tex]x+2x+x+2=24\\4x+2=24\\4x=24-2\\4x=22\\x=22/4\\x=5.5[/tex]
So, Erin made cookies = x = 5.5 dozens
Mary made cookies = 2x =2(5.5) = 11 dozens
Kim made cookies = x+2 =5.5+2 = 7 dozens
Therefore, Erin made 5.5 dozen cookies.
What will be the equations for the justification.
Answer:
The expression is: [tex]-30n + 70 = -80[/tex]
Step-by-step explanation:
Given
[tex]n = 5[/tex]
Multiply both sides by 3
[tex]3 * n = 5 * 3[/tex]
[tex]3n = 15[/tex]
Subtract both sides by 7
[tex]3n - 7 = 15 - 7[/tex]
[tex]3n - 7 = 8[/tex]
Multiply both sides by -10
[tex]-10(3n - 7) = -10*8[/tex]
[tex]-30n + 70 = -80[/tex]
To verify: Substitute 5 for n
[tex]-30 * 5 + 70 = -80[/tex]
[tex]-150 + 70 = -80[/tex]
[tex]-80 =-80[/tex] ---- Verified
Given the following data, find the weight that represents the 54th percentile. Weights of Newborn Babies 7.78.05.56.76.9 6.19.45.59.37.7 7.66.58.17.16.4
Answer:
7.35
Step-by-step explanation:
Given the data:
7.78.05.56.76.9 6.19.45.59.37.7 7.66.58.17.16.4
Rearranged data :
5.5, 5.5, 6.1, 6.4, 6.5, 6.7, 6.9, 7.1, 7.6, 7.7, 7.7, 8.0, 8.1, 9.3, 9.4
The 54th percentile :
(54/100) * (n + 1) th term
n = sample size = 15
0.54 * (15 + 1)
0.54 * 16
8.64th term
(8th term + 9th term) / 2
(7.1 + 7.6) / 2
14.7 / 2
= 7.35
Find the missing measures
Answer:
lol i cant sry
Step-by-step explanation:
Answer:
M is 126, hl and jk are both 54
Step-by-step explanation:
the opposite sides are the same angles.
126+126=252.
260-252=108.
108/2=54
ramona has $21 that she can spend on food for her dog. dry dog food costs 7.50 per small bag
Answer:
Ramona can buy 2 bags.
Step-by-step explanation:
7.5 x 3 = 22.5. This is over her budget.
Therefore Ramona can buy 2 bags.
You didn't specify what the question was asking for, I'm guessing that this is it.
area of rhombus is 60m sq.if its perimeter is 40 m sq. find its altitude
Answer:
Step-by-step explanation:
Para meter of rhombus is equals 40 m
So one side of rhombus is equal to 10 m
Now
Area of rhombus is equals to half into base into altitude
1/2*10*altitude=84
Altitude = 16.8m
A sidewalk will be put in around the block. The sidewalk will cover an area of 67,500 square feet and the length will be three times the width. The area is represented by the equation: . Solve for w.
What’s 65+56+4+-4
;)
Answer:
119
Step-by-step explanation:
The equation for line g can be written as y = x + 5. Parallel to line g is line h, which passes through the point (-6, -4). What is the equation of line h? SHOW WORK PLEASE
Answer:
y=x+2
Step-by-step explanation:
y=mx+b, m=1, x=-6, y=-4
-4=(1)(-6)+b
-4=-6+b
2=b
y=x+2
3x=210 what's x equal
Answer:
x = 70
:-))
..... . .. . . . . ... ..
3+5x-4-7x=2x-4x+1 i have to solve this problem
Answer:
Undetermined x=x
Step-by-step explanation:
First, you need to simplify each side by combining like terms:
(5x - 7x)(+3-4) = (2x - 4x) +1
-2x - 1 = -2x + 1 is your simplified expression.
After adding 1 to both sides, you're left with: -2x = -2x
You can divide both sides by -2, you'd get: x = x
Therefore, it's undetermined. Meaning, there are no possible solutions or there's infinite solutions. In this case, there's infinite solutions.
Pls help urgently extra points and mark brainlist
Answer:
2
Step-by-step explanation:
2 x 2 = 4
4x2 is 8
8x2 = 16
16x2= 32
And then 32 x 2 = 64
Answer:
2
Step-by-step explanation:
multiply down
Which is the answer HELP PLEASE
A. 205°
B. 215°
C. 210°
D. 220°
Answer:
A lol
Step-by-step explanation:
40,000 is 10 times as much as
Answer:
40000=10x4000
Step-by-step explanation:
Answer:
4,000
Step-by-step explanation:
Just divide 40,000 by 10 and you get 4,000!
I hope this helps and have a great day!
Jazmin is making bags of candy for hollween. Each time she makes a bag she puts in 1/2 pound. If she has 5 pounds of candy how many times can she do this
Answer:
10
Step-by-step explanation:
a group of 31 students is going to visit a museum the total cost of the tickets is 144.15 about how much will each student pay
Answer:
$4.65
Step-by-step explanation:
To figure this out you would divide 144.15 by 31
When you divide it it gives you 4.65 which is how much each student will pay.
one student will have to pay 4.65
you have divided
31/144.15=4.65