By the fundamental theorem of calculus,
[tex]\displaystyle F(x) = \int_0^x \cos(t^2) \, dt \implies F'(x) = \cos(x^2)[/tex]
and so F'(1) = cos(1).
when a card is drawn from a well shuffled pack of 52 cards , find the probability of getting the card a club or a jack
Explanation:
There are 4 jacks (one of each suit) and 13 clubs. This gives 4+13 = 17 cards that are either jack or club. However, we double-counted the jack of clubs which means there are really 17-1 = 16 cards that are one or the other or both.
This is out of the 52 total mentioned. So we end up with the probability:
16/52 = (4*4)/(4*13) = 4/13
write the equation of the line in fully simplified slope-intercept form
Answer:
y=1/2x+8
Step-by-step explanation:
grab 2 points in this case (4,10) and (0,8)
use rise over run formula so it rises 2 and goes over 4
so 2/4 then simplify and you get 1/2
and the y intercept is 8 because thats when the slope touches the y line
so using the equation y=mx+b when m is slope and b is y interecpt
the answer should be y=1/2x+8
Answer:
y=2x+8
Step-by-step explanation:
8=b m=y_ý/x_x`=2
y=ax+b
y=2x+8
Given the point and the slope, write the function in point-slope form:
(2,−5);m=23
Group of answer choices
y−5=23(x−2)
y+5=23(x−2)
y−5=23(x+2)
y+5=23(x+2)
Answer:
2nd answer choice
Step-by-step explanation:
point slope form: y-y1=m(x-x1)
y-(-5)=23(x-2)
y+5=23(x-2)
Answer:
(b) y+5=23(x−2)
Step-by-step explanation:
The point-slope form for the equation of a line is ...
y -k = m(x -h) . . . . . . point (h, k), slope m
You have point (2, -5) and m=23, so the equation becomes ...
y -(-5) = 23(x -2)
y +5 = 23(x -2) . . . . . . simplify a bit
A coffee pot holds 3 quarts of coffee. How much is this in cups?
Answer:12 cups
Step-by-step explanation:
because 1 quart is equal to 4 cups multiply by 3
the students at Walden Middle school are selling tins of popcorn to raise money for new uniforms. they sold 42 tins in the first week. how much money did they make in the first weeks
Answer:
$388.50
Step-by-step explanation:
9.25 * 42 = $388.50
Translate this phrase into an algebraic expression.
7 increased by twice Goran's savings
Use the variable g to represent Goran's savings.
Answer: 2g + 7 or 7 + 2g
Step-by-step explanation:
7 increased by twice g can be represented as 2g + 7 or 7 + 2g
Help please please!!!
Kianna lives in a town where the streets are laid out in a grid. She uses a coordinate plane to draw a map of the town, with her school at the origin. Kianna plots points for the locations of her house and her best friend Jo's house on the grid.
Kianna's house is at the point (4, 2).
Kianna's and Jo's houses are reflections of each other across both axes.
1. What are the coordinates of Jo's house? Explain how you know in the space below.
2. Kianna walks from her house to Jo's house. She first walks west and then walks south. How many blocks west does Kianna walk? How many blocks south?
Write your answer in the space below.
3. Elena's house is a reflection of Jo's house across the x-axis.
What are the coordinates of Elena's house? Explain in the space below.
4. Kianna says that Elena's house is actually a reflection of her house across the y-axis.
Is Kianna right? Explain
Answer:1. The coordinates of Jo’s house are (-4,-2).
Step-by-step explanation:
1. Since Jo’s house is reflected across both axes, we must reflect the coordinates two times. So we can reflect the coordinates of Kianna’s house across the x-axis first, which would give you the coordinates (4,-2). Then we reflect (4,-2) across the y axis, giving us the coordinates (-4,-2). So Jo’s house has the coordinates (-4,-2).
Hope this helps.
12 red cars is what part of 48 total cars
Answer: 1/4
Step-by-step explanation: i think it is 1/4 bc 48 is the total and 12 can go in 48 4 times
i hope this helped have a good day
This means that 12 cars are green,12 cars are blue,and 12 cars are yellow/white. which means there are 4 groups of cars which all together equals 48 which is 48 divided by 12 equals 4 or just do 12 +12+12+12+48 or
4+4+4+4+4+4+4+4+4+4+4+4=48
Meaning there are 4 groups and 12 is 1 part of them which makes 1/4
please help only answer if you're sure it's right will mark brianliest if it's correct
Answer:
I feel like all of them are wrong, but C. is the one that's closes to being right.
Step-by-step explanation:
As you see, C is the closest to the answer.
x=1 y=2 z=3
So...
1+2=3
2-3=1
^
Is that right?
No, but that one is the only error, the other equations also have errors.
So if there's a button that says none of the above, pick that.
Hope this helped! :)
A 12-ounce bottle of shampoo lasts Enrique 16 weeks . How long would you expect an 18-ounce bottle of the same brand to let him
Answer:
12 lasts 16
18 lasts x
x=16• 18/12
x= 24
Find the LCM of the numbers.
3,16,20
Answer:
240
Step-by-step explanation:
find multiples of 3 16 and 20 and multiply the multiples . you will get 240 .
i hop it helps you ❤
Match each operation to its opposite
please help asap !!
Solve the system of equations 2x + 3y = 40 and -2x + 2y = 20 A.x = 10 , y = 20 B. x=-10 , y = 20 C. x = -6 , y = 4 D. x = 2 , y = 12
Answer:
D is answer
Step-by-step explanation:
-2x + 2y = 20
2x = 40-3y
so -(40-3y)+2y =20
-40+3y+2y = 20
5y = 60
y = 12
2x = 40-3y
2x = 40-3(12)
2x = 40-36
2x = 4
x = 2
so x = 2 , y = 12
Look at the translation of the shape. Describe the translation that moves EFGH to E'F'G'H'.
3 boxes left 4 boxes up
4 boxes right 3 boxes up
4 boxes left 3 boxes up
Answer:
4 boxes left 3 boxes up.
Step-by-step explanation:
Solve using elimination.
y = 3x + 4
3y = 3x + 8
Answer:
4y=9x+12
Step-by-step explanation:
the answer should be that's it
Diagram is not drawn to scale. Could someone try and help me find x, I got 20 but it was wrong
Answer:21
Step-by-step explanation:
if not 20 then 19 , 20.5 or 21
The doctor told her patient that every day he needs
to consume more than 1800 but less than 1900 calories.
Write an inequality representing the possible amount of
calories the patient could cconsume.
What is the equation for Having your boss pay you 10,000 a day for 3 full weeks
Answer:
210,000 units
Step-by-step explanation:
Let d represent each day
Let p represent amount paid
p = 10000x
If paid for 3 full weeks.
3 weeks is 3x7 =21 days so:
p = 10000x
p = 10000(21)
p = 210000 units
Answer:
210,000
Step-by-step explanation:
10,000x(3x7)
10,000x21=210,000
Over 27.5 days, a lake's water level changed by an average of −1.37 centimeters each day.
What was the total change in the water level?
Enter your answer as a decimal in the box.
Answer:
-37.675
Step-by-step explanation:
27.5 X -1.37 = -37.675
10+4.5m=21.25
Solve for M
Answer:
m = 2.5Step-by-step explanation:
10 + 4.5m = 21.25=> 4.5m = 21.25 - 10=> 4.5m = 11.25=> m = 11.25/4.5=> m = 2.5Conclusion:
Therefore, m = 2.5
Hoped this helped.
[tex]GeniusUser[/tex]
what is the domain of f? khan academy
Answer:
x cannot = -2
Step-by-step explanation:
if x = -2 then the denominator is 0 and a fraction with 0 as a denominator is undefined.
Answer:
A
Step-by-step explanation:
f(x) = [tex]\frac{x-3}{x+2}[/tex]
The denominator cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the value that x cannot be.
x + 2 = 0 ⇒ x = - 2 ← excluded value in the domain
The domain of f(x) is all real values of x such that x ≠ - 2
Question 1 (1 point)
Order the decimals from least to greatest.
10 3.06, 3.6, 3.066, 3.006
least
greatest
10) LEAST
GREATEST
Blank 1:
Answer:
3.006, 3.06, 3.066, 3.6, 10
Step-by-step explanation:
Numbers written in a place-value system are compared left-to-right. If the digits with the same place-value multiplier being compared are the same, then the next digits to the right need to be compared.
The number 10 is the greatest. (None of the others have a digit in the 10s place.)
The number 3.6 is the next greatest. (6 in the tenths place is the largest digit there.)
The number 3.066 follows that, then 3.06.
3.006 is the least.
In order from least to greatest, the numbers are ...
3.006, 3.06, 3.066, 3.6, 10
Write the product using exponents.
(-1/2)•(-1/2)•(-1/2)
Using exponents, the product is
Answer: (-1/2)^3
-0.125
Step-by-step explanation:
-.125 or 5/40. zzzzzzzzzzzzzzzzz
Max can run 10 miles in 2 hours. At this rate, how long will it take him to run 25 miles
Answer:
Step-by-step explanation: 10 miles per 2 hours is the First step. Knowing this helps a lot. Next you need to understand your solving for 25 miles. 10 goes into 25 2.5 times. This means you need to multiply the time by 2.5 as well. That would be 5 hours.
NO LINKS HELP (question is in picture)
Step-by-step explanation:
area of ∆ is 10in².
hope this helps you.
HELP ME PLEASE GUYS! :)
Remember that a system of equations (two lines) only has solutions if the lines cross. In this case, the lines are parallel, which means that they will never cross. Therefore, there are no solutions.
Hope this helps! :)
A glass top of an office table has sides of 21 inches. What is its area?
Answer:
441 [tex]inches^{2}[/tex]
Step-by-step explanation:
If this is a rectangle, meaning the width and the legnth is different, there is no way in solving this.
However, if it is a square, meaning all the sides are the same,
we can know that every side is 21 inches long.
An area is the width times the length, which is both 21 in this case.
21 times 21 = 441.
441 inches squared.
Find domain and range
I will give 100 points for 5 questions
Answer:
1. SSS
2. SAS
3. SAS
4. 1?
5. SSS
Step-by-step explanation: