Answer:
y int is 6
the slope is -5
Step-by-step explanation:
you write the equation out to slope intercept form, which is y=-5x+6
-5 is the slope because thats the transformation x goes through
6 is the constant which is the y intercept
The distance traveled, D in feet, is a function of time, t, in seconds, with
D=f(t)= t 3 +1
Find f(10), f'(10), and the relative rate of change f'/f at t=10. Interpret your answers in terms of distance travele
Answer:
1001 m/s
300 [tex]m/s^2[/tex]
0.299.
Step-by-step explanation:
Given that:
[tex]D=f(t)=t^3+1[/tex]
[tex]f(10)[/tex] means putting the value of [tex]t=10[/tex] in [tex]f(t)[/tex].
[tex]f(10) = 10^3+1=1001[/tex] [tex]m/s[/tex]
To find [tex]f'(10)[/tex], we need to find [tex]f'(t)[/tex] first.
Differentiating the equation of Distance [tex]D[/tex] w.r.to [tex]t[/tex]:
[tex]f'(t) = \dfrac{d}{dt}(t^3+1)= 3t^{3-1}+1 = 3t^2[/tex]
[tex]f'(10) = 3(10)^2=300[/tex] [tex]m/s^2[/tex]
Relative rate of change:
[tex]\dfrac{f'}{f}\ at\ t = 10 \Rightarrow \dfrac{300}{1001} \approx 0.299[/tex]
What is the value of z in the equation 5(2z+4)
Answer: z = -2
Step-by-step explanation:
5(2z + 4) = 0
10z + 20 = 0 [distributive property]
10z = -20 [carry over the 20]
z = -2 [divide]
What is the percent?
32/80 = %/100
Answer: 40% OUT OF 100
(Ill give brainliest, Pls help me! Also, Pls write at least 3 sentences to explain why. Ty :) )
67,124 x three fourths = ________. Will the product of this equation be less than or greater than 67,124? Explain your reasoning.
Answer: it would be less
Step-by-step explanation: it is less because it is split into more pieces and it is not as big as 67,124
3. There are 156 students in an after-school program. The program director would like to split the
students into groups of equal sizes with no students left over. She wants at least 4 but no more
than 12 students in each group. Describe the possible number of groups and students in
each group.
Answer:
well you could do 26 groups of 6 people
Step-by-step explanation:
A weather service records 28.8 inches of rain over a 12 month period. What is the average rainfall per month for the year?
A:
A)
17 inches
B)
2.4 inches
o
2.9 inches
D)
3.1 inches
Answer:
B) 2.4 inches
Step-by-step explanation:
The total amount of rain is 28.8 inches over 12 months. To find how much rain falls averagely in one month you need to divide the total by the amount of months. 28.8/12 = 2.4
For a science project, Daniel planted 51 flower seeds. Of those seeds, 12 did not grow at all. Of the seeds that did grow, 2/3 of them grew green tomatoes. How many green tomatoes grew?
a) 12
b) 8
c) 26
d) 13
Answer:
C. 26
Step-by-step explanation:
According to the question,
Daniel planted 51 seeds.
12 seeds did not grow at all,
Therefore, the number of seeds that grew are 51-12= 39
Then, from the 39 seeds that grew, 2/3 of them are green tomatoes.
So, to find out how many green tomatoes grew, we solve
2/3 * 39= 26.
Therefore, the amount of green tomatoes are 26.
Find the equation of the tangent line. y=(x^2+x-2)^2 at (-1,4)
Compute the derivative of y = (x² + x - 2)² using the chain rule:
dy/dx = 2 (x² + x - 2) d/dx [x² + x - 2]
dy/dx = 2 (x² + x - 2) (2x + 1)
Evaluate the derivative at x = -1 :
dy/dx (-1) = 2 ((-1)² + (-1) - 2) (2 (-1) + 1) = 4
This is the slope of the tangent line to the function at (-1, 4).
Use the point-slope formula to get the equation for the tangent line:
y - 4 = 4 (x - (-1)) → y = 4x + 8
The probability that a 22-year-old female in the U.S. will die within one year is approximately 0.00044. If an insurance company sells a one-year, $30,000 life insurance policy to such a person for $435, what is the company's expectation? (Round your answer to the nearest dollar.)
Answer:
The value is [tex]E(X) = \$ 421.6[/tex]
Step-by-step explanation:
From the question we are told that
The probability that a 22 year old female in US will die within one year is p= 0.00044
The outcome if she dies within one year is that the company losses $30,000
Generally the probability that a 22 year old female in US will live more than one year is
[tex]q = 1 -p[/tex]
=> [tex]q = 1 -0.00044[/tex]
=> [tex]q = 0.99956[/tex]
The outcome if she lives more than one year is that the company gains $435
Generally the the company's expectation is mathematically represented as
[tex]E(X) = -30000 * p + 435 * q[/tex]
The negative sign shows that the company is loosing the fund
So
[tex]E(X) = -30000 * 0.00044 + 435 * 0.99956[/tex]
=> [tex]E(X) = \$ 421.6[/tex]
ratio of 5 to 2 total number of servers and cooks is 42 how many servers
Answer:
30
Step-by-step explanation:
5 x 6 = 30
2 x 6 = 12
30+12 = 42
To attend the football game, it costs $8 for parking plus $59 per ticket. If Bryan paid $362, how many tickets did he purchase?
Answer:6 tickets
Step-by-step explanation:
X= number of tickets
59x+8= 362
59x= 362-8
59x= 354
X= 354/59
X= 6
Bryan bought six tickets, hope this helps!!!!
Find the other endpoint of the line segment with the given
endpoint and midpoint: Midpoint = (8,-2) and Endpoint= (3,10).
Answer:The other endpoint is at ( − 4 , 3 )
Explanation:
The line segment passing through ( − 4 , 9 ) and ( − 4 , 6 )
is a vertical line with the midpoint 3
units below the first point.
The other endpoint must be 3
further units below the midpoint i.e. at ( − 4 , ( 6 − 3 )
Step-by-step explanation:
Sally is selling strawberries at the farmer’s market. She sells 5 boxes in the morning, and then sells half of the remaining boxes of strawberries by the end of the day. If Sally ended up with 9 boxes of strawberries left at the end of the day, how many boxes did she start with
Answer:
23 boxes
Step-by-step explanation:
x=5+9*2
Answer:
23
Step-by-step explanation:
I did this backwards.
Since we know that Sally ended up with 9 boxes of strawberries, and sold half of the remaining strawberries, she must've had 18 boxes. Adding the 5 boxes from the beginning gets us 18+5=23
You also could've wrote an equation.
x=boxes of strawberries
x the total amount of boxes in the beginning of the day
x-5 the 5 boxes she sold
(x-5)/2 half of the remaining boxes sold
(x-5)/2=9 the amount left
Which linear inequality is represented by the graph?
PLEAe help
Answer:
The answer to your problem is the last option
please help me :((((
Expense
Percent of Budget
40%
11.7%
Item
Rent
Food
Transportation
Utilities
Insurance
Taxes
Monthly Total
Annual Expenses
$350
$150
$400
13.3%
1
2
How much will Paul pay in Rent? $1200
How much will Paul pay
What percent will Paul pay for Food?
type your answer....
What percent of Paul's
help on picture 15 points
Answer:
2/3
Step-by-step explanation:
Explain how to find the slope of the line. And explain answer
Answer:
by using the slope incercept form: y=mx+b
this one is m=7/3 (m is the letter we use for the word slope btw) :)
Step-by-step explanation:
These two triangles are similar. What are a and b? Note: the two figures are not drawn to scale. Please help with this!!!
9514 1404 393
Answer:
a = 6b = 22.5Step-by-step explanation:
The ratio of smallest sides in the two triangles is ...
smaller / larger = 4/10
To find A and B, we write proportions involving corresponding side lengths.
__
Side A in the smaller triangle is ...
A/15 = 4/10
A = (4/10)(15) = 6
__
The ratio of larger to smaller is the inverse of the above ratio, so ...
B/9 = 10/4
B = (10/4)(9) = 22.5
Sydney has $150 in her bank account. She buys a bike for $200. What is Sydney´s account balance now?
HELP ME ANSWER THIS PLEASEEE!!
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Apply the fraction rule,
Divide the Numbers,
Factor the Number, then cancel the common factor!
.............helppppppppppppppppppp
Answer:
what????????????????
Answer: I think its A
Step-by-step explanation: I think its A because it depends if its night for the light to flash on the window.
What is the length of the missing side of this triangle? *
Answer:
8.9
Step-by-step explanation:
- there are two given sides and its a right angle triangle so you can use pythagoras
- 12^2 = 8^2 + y^2
- rearrange
y = [tex]\sqrt{(12)^2 -(8)^2}[/tex]
y = 8.9
Divide the binomial by the monomial to find the quotient.
Answer:
9x²-36[tex]y^{5}[/tex]
Step-by-step explanation:
pls help Eithan needs to divide theese base ten blocks (9 ten blocks and 6 one blocks)
HOW MANY WOULD BE IN EACH GROUP?
Answer:
carrot
Step-by-step explanation:
give me brainlyist i never got it pls bt i have snap if you want im a girl
I need a girl and yes I understand I’m on the wrong website please don’t report smh
Answer:
lol, what for?
Step-by-step explanation:
Answer:
So the answer would be B.
Step-by-step explanation:
This is not the right site like you said also no one knows your age or what you look like so good luck buddy.
division time :)
and i'm stuck with this.
Answer:
Step-by-step explanation:
I think the quotent is 5, but I recommend waiting for sumone else to answer. Because 31.5 divided by 1.4 equals 22.5 but I'm not sure.
whats5666778877 x 81 + 1
Answer: 459009089038
Step-by-step explanation: I smart for a 3yrs old kid. And I don't even need a diAper but my 17 yrs old sister does so she weirdo...
HEY, I also have good news. I JUST GOT POTY TRANED!! YA Boi.
How do you multiple 14.5×6.5×6.5?
[tex]\textsf{Hey there!}[/tex]
[tex]\mathsf{How\ do\ you\ multiply\ 14.5\times6.5\times6.5?}[/tex]
[tex]\bullet\ \textsf{First you have to line up your decimals (If its easier for you break down the equation)}[/tex]
[tex]\mathsf{14.5\times6.5\times6.5}\\\mathsf{14.5\times6.5=\underline{94.25}}\\\mathsf{94.25\times6.5=\underline{612.625}}\\\\\boxed{\boxed{\mathsf{Thus, your\ answer\ is: \boxed{\boxed{\huge\text{\bf{612.625}}}}}}}\checkmark[/tex]
[tex]\mathsf{Good\ luck\ on\ your\ assignment\ and\ enjoy\ your\ day!}[/tex]
~[tex]\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]
Which linear inequality is represented by the graph?
PLEASE HELP
Answer:
It would be c.
I hope that helps
Step-by-step explanation:
If you look at (0,0) you can see that if you go up two it will be right across second point.