Answer:
800 full marks
Step-by-step explanation:
295 + 25 = 320 marks required to pass
320 / 0.40 = 800 full marks
Find the gradient of the curve y = x^5/2 at the point where x = 4
Given:
The equation of the curve is:
[tex]y=x^{\frac{5}{2}}[/tex]
To find:
The gradient of the given curve at the point where [tex]x = 4[/tex].
Solution:
We have,
[tex]y=x^{\frac{5}{2}}[/tex]
Differentiate with respect to x.
[tex]y'=\dfrac{5}{2}x^{\frac{5}{2}-1}[/tex] [tex][\because \dfrac{d}{dx}x^n=nx^{n-1}][/tex]
[tex]y'=\dfrac{5}{2}x^{\frac{3}{2}}[/tex]
Substituting [tex]x=4[/tex], we get
[tex]y'=\dfrac{5}{2}(4)^{\frac{3}{2}}[/tex]
[tex]y'=\dfrac{5}{2}(2^2)^{\frac{3}{2}}[/tex]
Using properties of exponents, we get
[tex]y'=\dfrac{5}{2}(2)^{2\times \frac{3}{2}}[/tex] [tex][\because (a^m)^n=a^{mn}][/tex]
[tex]y'=\dfrac{5}{2}(2)^{3}[/tex]
[tex]y'=\dfrac{5}{2}(8)[/tex]
[tex]y'=20[/tex]
Therefore, the gradient of the given curve at the point where [tex]x = 4[/tex] is 20.
747 = (9 times x) + 9
Answer:
x=82
Step-by-step explanation:
You start of with subtracting both sides with 9
then you divide both side with 9
Remember the rule that whatever you do to one side, you have to do to the other side. So, how do we find x? The objective when we are simplifying equations like this is to isolate x. We need to make x lonely on one side. So let's try!
747 = 9x + 9
What is the first step to making x lonely? Usually try to use the property of addition or subtraction because it makes things 10x easier. So, using the idea of using addition or subtraction, let's make x lonely by minusing 9 on both sides.
747 = 9x + 9
- 9 - 9 (Remember we have to do the same thing to both sides!)
738 = 9x
Now we have 9 times x = 738. Hm, how do we make x lonely even more? What if divide both sides by 9. We are dividing both sides by 9 because this way, the 9 times will cancel out and disappear. Look:
738 = 9x
÷9 ÷9
82 = x
And there we go, we made x completely lonely and found out x = 82!
Jacob sold 40 candy bars and made $65. He sold two types of
bars - chocolate for $2 each and peanut butter for $1 each.
How many of each type of candy bar did Jacob sell?
Answer:
Jacob sold 25 bars - chocolates and 15 peanut butter.
Step-by-step explanation:
Jacob sold 40 candy bars.
Let the bars - chocolate be x and peanut butter be y and made $65.
Now,
x + y = 40 ...(1)
2x + y = 65 ...(2)
Now, From equation (1) we get,
x + y = 40
x = 40 - y
Now, put the value of x = 40 - y in equation (2) we get,
2x + y = 65
2(40 - y) + y = 65
80 - 2y + y = 65
y = 80 - 65
y = 15
Now, put the value of y in equation (1)
x + y = 40
x + 15 = 40
x = 40 - 15
x = 25
The bars - chocolate = x = 25 and
peanut butter = y = 15
Thus, Jacob sold 25 bars - chocolates and 15 peanut butter.
-TheUnknownScientist
Solve the simultaneous equations
2x+4y=-9
2y=4x-7
Answer:
x=1/2,-5/2
Step-by-step explanation:
A teacher has a large container filled with blue, red, and green beads. She wants her students to estimate the proportion of red beads. Each student shakes the container, selects 50 beads, counts the number of red beads, and returns the beads to the container. One student’s sample contained 19 red beads. The students are asked to construct a 95% confidence interval for the true proportion of red beads in the container. Are the conditions for inference met?
Yes, the conditions for inference are met.
No, the 10% condition is not met.
No, the randomness condition is not met.
No, the Large Counts Condition is not met.
Answer:
A
Step-by-step explanation:
Answer:
C: No, the randomness condition is not met.
Step-by-step explanation:
took the test on edge
Everythings in the pic!
Answer:
D. 32 times; 5/4*40 = 32Step-by-step explanation:
It is expected the spinner to land on Red 1/5 times.
If the spinner is spun 40 times, then it should land on Red:
1/5*40 = 8 timesAnd it should not land on red:
(1 - 1/5)*40 = 4/5*40 = 32 timesCorrect choice is D
You and a friend are trying to decide whether going to the movie theater or renting a film to watch at home would cost less. At Theater
Y, the cost of a ticket for young adults ages 10-18 is $7.75. A medium drink costs $2.50 and a small popcorn costs $2.50. Conversely,
it costs $4.50 to rent a movie, $1.50 for a 2 liter of cola, and $2.00 for a bag of microwave popcorn. Which option would cost less and
by how much?
Home by $17.50
Theater Y by $8.00
Theater Y by $17.50
Home by $8.00
Answer:
Home by $17.50
Step-by-step explanation:
Home by 17.50 because when going to the theater you have to consider all the costs of everything you will be purchasing so there will be 2 tickets for yourself and your friend 2 drinks and 2 small popcorns when you add all of these up it will look like this 7.75+7.75+2.50+2.50+2.50+2.50 = 25.50 then I will subtract this from the at home cost so 25.50 - 4.50 - 1.50 - 2.00 = 17.50 So it's cheaper home by 17.50
HELP THIS IS DUE TODAY
Answer:
7) circumference = 11.78 ft
8) arc NMP = 198° or 27.63 ft
Step-by-step explanation:
7) circumference = πd = (3.14) (3 3/4) = 11.78 ft
8) radius = 8 ft
diameter = 2 x 8 = 16 ft
arc NM + arc QP = 360° - 162° - 162° = 36°
arc NM = arc QP because they are arcs of vertical angles.
arc QP = 18°
arc NMQ = 180°
arc NMP = 180° + 18° = 198°
circumference = πd = (3.14)(16) = 50.24 ft
(198°/360°)(50.24) = 27.63 ft
In how many ways can you make exactly $0.75 using only nickels, dimes, and quarters, if you must have at least one of each
coin?
Answer:
2 quarters, one nickel and two dimes
Step-by-step explanation:
2 quarters = 25 cents + 25 cents = 50 cents
Nickel is 5 cents
Two dimes is 10+10 = 20
50+20+5=75
someone please answer this fast 35cos(78)
Answer:
−30.02310826357
Step-by-step explanation:
−30.02310826357
pt.2 PLS HELP I NEED HELP DUE SOOONNNNNNNN AND BRAINLIST
Step-by-step explanation:
15) 13x = 130 x = 10
16) 16x+2+43x+1 = 180 59 x = 177 x = 3
17) 29x+3+31x-3 = 180 60x = 180 x = 3
18) 16x -5 + -5 + 22x = 180 38x = 190 x = 5
Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
Answer:
C.14ײ+5
Step-by-step explanation:
Hope It Help
Brainliest please
What is the value of b?
Help please
Answer:
4/3 is ur answer which is equal to 6.92820323028
which i B's side length
Step-by-step explanation:
what is summer academy help fr fr ☝️
Answer:
Summer school (or summer university) is a school, or a program generally sponsored by a school or a school district, or provided by a private company, that provides lessons and activities during the summer vacation.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Decide if the expression is positive or negative - explain how you know in words
−11×(23)
3x + 4 = 5x -10 true or false this equation can be simplified combining like terms to become 8x + 4= -10
Help!!! Here is a screenshot of the problem.
Answer:
4
Step-by-step explanation:
What is the area of the triangle?
Answer:
289m2
Step-by-step explanation:
The mathematical formula for the area of the triangle is:
base x height / 2
factorise 5x^3-15x^2 + 25x by 5
Answer:
x^3- 3x^2+ 5x
Step-by-step explanation:
basically divide the coefficents by 5
Explain why triangle ABC is similar to triangle CFE
Answer:
It's exactly the same, except the size
Step-by-step explanation:
Answer:
They are similar because if you look at the length of 2 of the sides that you know
Triangle ABC has side length 1 and 2 or 1:2
CFE has sides length 2 and 4 or 2:4 and 2:4 can also be written as [tex]\frac{2}{4}[/tex] which is a fraction, and fractions can be simplified to 1:2.
So they are similar but just one is bigger then the other.
Three friends ordered personal-sized pizzas for lunch. Lucia ate 2/3 of her pizza, Allie ate 1/4 of her pizza, and Carolina ate 2/5 of her pizza. Which statement correctly compares the amount of pizza that the friends ate?
Answer:
They have atleast two or one left
TRUE OR FALSE!!!!?????
Answer:
the statement is a true statement
What is the range of the following relation?
Oxso
all real numbers
Answer:
Step-by-step explanation:
What is the formula for the volume of a cylinder? (Use the word Pi instead of the symbol)
Answer:
pi x radius x 2 x height of the cylinder.
An athlete did one round around a circle of radius 42m.what is the total distance covered by him
Answer:
Again
Step-by-step explanation:
Answer:
42000cm
Step-by-step explanation:
42m======42000cm
Maria deposits $1,950 into a savings account that earns simple interest at a rate of 3%. She makes no withdrawals. How much interest has Maria’s account earned after 4 years?
Answer:
x = .06418
Step-by-step explanation:
2 + (9.2)−8x = 2.32
(9.2)−8x = 2.32 − 2
log (9.2)−8x = log .32
−8x log 9.2 = log .32
−8x log 9.2
−8 log 9.2
=
log .32
−8 log 9.2
x = .06418
Answer pllzzzzzzzzzzzz
Answer:
Step-by-step explanation:
3 a) 6
3 b) 12
3 c) 12
4 a) 4/5
4 b) 10/9
4 c) 17/15
14pts FOR THIS ONE!! PLEASE
Answer:
What website is this picture on. I can not see the picture.
Step-by-step explanation:
Answer ASAP! Best Answer Will Be Awarded, Links Will Be Reported. Thanks!
Does the following equation represent a circle? Why or why not? X^2-y^2=4
Answer:
solution given:
yeah it represent circle
as it is in the form:
(x-h)²+(y-k)²=r²
where
centre(h,k)=(0,0)
radius [r]=2 units