Answer:
2 builder complete work = 155 days
Step-by-step explanation:
Given:
5 builder complete work = 62 days
So,
1 builder complete work = 62 days × 5
if,
2 builder complete work = [62 days × 5] / 2
2 builder complete work = 155 days
Use the following graph to estimate the rate of change of the function at x=0.6 using the points (0,0) and (1,−0.5)
Answer:
The rate of change of the function at x = 0.6 is approximately -0.72
Step-by-step explanation:
The given information from the graph are;
Points (0, 0) and (1, -0.5)
We have that the graph is that of a cubic function, therefore;
f(x) = ax³ + bx² + cx + d
At f'(x) at (0, 0) and (1, -0.5) = 0 gives;
3ax² + 2bx + c = 0
∴ c = 0
Also
ax³ + bx² + cx + d = 0
d = 0
We have
3a(1)² + 2b(1) + 0 = 0
3·a + 2·b = 0..............(1)
a(1)³ + b(1)² + c(1) + d = -0.5
a + b + 0×(1) + 0 = -0.5
a + b = -0.5..........(2)
Multiplying equation (2) by 2 and subtracting it from equation (1) gives;
2 × (a + b = -0.5) = 2·a + 2·b = -1
3·a + 2·b - (2·a + 2·b) = 0 - (-1) = 0 + 1 = 1
a = 1
From
a + b = -0.5, we have;
1 + b = -0.5 = 0
b = -0.5 - 1 = -1.5
The equation becomes
f(x) = x³ - 1.5·x²
The rate of change of the function at x = 0.6 is therefore given as follows;
f'(x) = 3 × x² - 2 × (1.5)·x = 3·x² - 3·x
At x = 0.6, we have;
f'(0.6) = 3·(0.6)² - 3·(0.6)
f'(0.6) = 3×0.6² - 3×0.6 = -0.72
The rate of change of the function at x = 0.6 ≈ -0.72
Explain.
Numbers may only be used once 1-9
Step-by-step explanation:
Ax − B = C
Dy + E = F
Solve for x and y:
x = (B + C) / A
y = (F − E) / D
So the sum of x and y is:
x + y = (B + C) / A + (F − E) / D
For x + y to be as large as possible, A, E and D must be small, and B, C, and F must be large. With some trial and error:
x + y = (9 + 8) / 1 + (7 − 3) / 2
x + y = 17 + 2
x + y = 19
For x + y to be as small as possible, we want the first term to be a small fraction, and the second term to be as negative as possible. So A must be large, B + C must be small, F must be less than E, and D must be small.
x + y = (3 + 4) / 8 + (2 − 9) / 1
x + y = ⅞ − 7
x + y = -6⅛
A lottery claims that 3% of tickets win a prize. what is the probability that you win a prize if you purchase twenty tickets?
Answered
Mr.carlisle paid his utility bill last weekend.he paid $50 to the phone company,$112 to the power company,and $46 to the water company.after he paid those bills,what was the change in the total amount of money that mr carlisle had ?
Answer:-$208
Step-by-step explanation:
what is the probability that jenny rolls a double 1
Answer:
1/36
Step-by-step explanation:
Assuming that there are 2 dice
There are 36 possible outcomes ( 6*6)
There is only one way to get 2 ones
P ( 1,1) = positive outcomes / total
=1/36
please i need help with these problems thank you!!
To prove triangles similar, we only need to prove corresponding angles congruent OR corresponding sides are proportional. However, with a quadrilateral we need to prove corresponding angles congruent AND corresponding sides are proportional. Explain in your own words why it takes more to prove quadrilaterals congruent. Include examples demonstrating how “just angles” or “just sides” is not enough.
Answer:
we can proove by ASA congruence or SAS congruence rule
1. Jack is 30 years old and Alice is 35 years old. What percent of Alice's age is Jack, rounded to the nearest tenth of a percent?
(01.01)
Evaluate -40 - 5. (1 point)
8
-8
-35
-45
Answer:
Step-by-step explanation:
-40 - 5 = -45
answer is D
The property can be used to remove the parentheses in the expression 1.7(x + 9).
Answer: Distributive property
plz help 30 points
3(x+2)=18
please solve for x
In 3(x+2)=18, X=4
Divide both sides by the numeric factor on the left side, then solve.
Which relation represents a function?
1) {(0,3),(2,4),(0,6)}
2) {(-7,5),(-7,1),(-10,3), (-4,3)}
3) {(2,0),(6,2),(6,-2)}
4) {(-6,5),(-3,2),(1,2),(6,5)}
anyone know the answer i worked it out but didn't know where i messed up so i am just gonna ask for someone to help me with it.
Can I get help with this
Answer:
Step-by-step explanation:
3(a^2 + a - 6)
3(a + 3)(a - 2)
answer is D
r-85=114 what is the awnser
Answer:
[tex]r=199[/tex]
Step-by-step explanation:
hopefully that was the answer you were looking for
Answer:
1.34117647059
Step-by-step explanation:
114 divided by 85 =1.34117647059
hope this helps
You are paid $128 for mowing four lawns on Saturday. What is the Unit Rate of your pay? How much money would you have after mowing 7 lawns? Question 13 options: $32 & $224 $34 & $224 $32 & $238 $34 & $238
Answer:
32 & 224
Step-by-step explanation:
Mr stokes placed 5 marbles in a bag. I’m looking for A,B,C,D,E
Answer:
B,C,D,E,A
Step-by-step explanation:
Btw, Mr. Stokes from RTMS?
x + x + 1 + 2 = 48?
Step-by-step explanation:
x + x + 3 = 48
2x = 48 - 3
2x = 45
x = 45/2
Answer:
x = 45/2
Step-by-step explanation:
x+x+1+2 = 48
combine like terms
2x + 3 = 48
2x - 3 = -3
2x = 45
2x/2 = 45/2
x = 45/2
A bank offers a 12.8% annual rate compounded monthly. The periodic interest rate is:
Round to three decimals.
Answer:
%1.067
Step-by-step explanation:
I wrote it out and I'm attaching the picture
hope this helps
(I originally did this on the wrong question but I've fixed it)
Given: C-20= 4-3c
Prove: c= 6
Answer:
Step-by-step explanation:
just plug in c
6-20 = 4 - 3(6)
Dana has 2 more sweets than dhabia, dhabia has double the amount of sweets than ameera. Translate this sum into an algebraic expression.
Ammera's sweet= A
Dhabia's sweet= B
Dana's sweet= C
Ax2=B+2=C
Rewrite 4 x 4 x 4 x 8 x 8 using exponents PLEASE ASAP ILL NAME BRAINLIEST AND 15 POINTS
Answer:
4^3 and 8^2
Step-by-step explanation:
Answer:
12
2
Step-by-step explanation:
4 × 4 × 4 × 8 x 8
Solution:
2 2 2 3 3 2+2+2+3+3
2 x 2 x 2 x 2 x 2 = 2
12
2
2 raised to the 12 power
Angle A is 80, Angle C is 40 Figure out what measure the angle of B
Answer:
60
Step-by-step explanation:
The angle measures in a triangle always add up 180 degrees. 180-80-40=60
A blueberry recipe calls for 1\frac{3}{4} cups of sugar. How many cups of sugar would need to make the muffin recipe 3 times?
Answer:
4 3/4
Step-by-step explanation:
Just multiply 1 3/4 and 3 = 4 3/4
Determine if the sequence is arithmetic 28,26,24,22,...
Answer: yes it is
Step-by-step explanation:
Common difference -2
Find the slope “m” and the y-intercept “b”. a. y = 3x − 4 b. 4x − 5y = 15
Step-by-step explanation:
Equation of a line is y = mx + b
where
m is the slope
b is the y intercept
First question
a.)y = 3x - 4
Comparing with the general equation above
Slope / m = 3
The y intercept / b = - 4
Second question
b).4x - 5y = 15
First we must write the equation in the general equation above by making y the subject
That's
5y = 4x - 15
Divide both sides by 5
That's
[tex] \frac{5y}{5} = \frac{4}{5} x - \frac{15}{5} [/tex]
We have
[tex]y = \frac{4}{5} x - 3[/tex]
Comparing with the general equation above
Slope = 4/5
Y intercept = - 3
Hope this helps you
Mount Kosciuszko is the highest mountain in Australia, with a peak of about 2,228 meters above sea level. Lake Erye has the lowest point at 15 meters below sea level. What is the difference in elevation between Mount Kosciuszko and Lake Eyre? You must show your work on your sheet on notebook paper.
A)2,243
B)2,213
C)2,250
D) 2,210
Answer:
Option (A)
Step-by-step explanation:
Heights above the sea level are denoted with positive notations and depths below the sea level with negative.
Height of the highest peak of the mountain = +2228 meters
Lowest point of the lake = -15 meters
Difference between these elevations = 2228 - (-15)
= 2243 meters
Therefore, Option (A) will be the correct option.
Is 144 a perfect square?
A. The whole number 144 is a perfect square because the square root of 144 is a whole number.
B. The whole number 144 is not a perfect square because the square root of 144 is not an irrational number.
C. The whole number 144 is a perfect square because 144 is divisible by 2.
D. The whole number 144 is a perfect square because 144 is divisible by 4.
Answer:
A,
Step-by-step explanation:
because the whole number 144 is a perfect square and the square root of 144 is also a whole number
A notebook costs $2.39 at Walmart. If the tax rate is 7%, what is the total cost at the register?
PLEASE HELP ME I WILL MARK YOU BRAINLIEST
Answer:
D
Step-by-step explanation:
Their are 9 in the first row and their are 5 rows all together so 9 times 5 is 45.