Answer:
a. 28.
b 20.78.
Step-by-step explanation:
a. f(x) = 0.001(x - 10)(x + 20)(x - 40)
When x = 50
Height = f(40) = 0.001(50-10)(50+20)(50-40)
= 0.001(40*70*10)
= 0.001 * 28,000
= 28 units.
b.
Expanding the function we get
f(x) = 0.001(x - 10)(x^2 - 20x - 800)
f(x) = 0.001(x^3 - 30x^2 - 600x + 8000)
f(x) = 0.001x^3 - 0.03x^2 - 0.6x + 8
Finding the derivative
f'(x) = 0.003x^2 - 0.06x - 0.6
This is zero for maxm/minm values:
0.003x^2 - 0.06x - 0.6 = 0
x = 27.32, - 7.32.
The values of the heights corresponding to these values of x are:
0.001(27.32-10)(27.32+20)(27.32-40)
= -10.39. and
0.001(-7.32-10)(-7.32+20)(-7.32-40)
= 10.39.
So the distance between A and B = 10.39 - (-10.39)
= 20.78.
URGENCY HELP PLEASE:
Convert 310 to base 8.
Answer:
\(\Huge \boxed {\bf{466_8} }\)
Step-by-step explanation:
To convert the decimal number 310 to base 8, we can use the following steps:
Step 1: Divide the decimal number by the base (8) and obtain the quotient and remainder.Step 2: Write down the remainder.Step 3: Repeat the process with the quotient obtained in the previous step until the quotient is zero.Step 4: Write down the remainders in reverse order.Let's perform these steps for the decimal number 310:
310 ÷ 8 = 38 (remainder 6)38 ÷ 8 = 4 (remainder 6)4 ÷ 8 = 0 (remainder 4)Now, write down the remainders in reverse order: 466.
So, the decimal number 310 converted to base 8 is \(466_8\).
________________________________________________________
hola me pueden ayudar con esto que no entiendo, exactamente en el punto 6 porfis
Answer:
Por favor, publique todas las preguntas en español en brainly.latPor favor, publique todas las preguntas en español en brainly.latif 40% of x is 30, then what percent of 50 is x?
Answer:
I think 37.5
Step-by-step explanation:
I think 37.5 because 40% of x=75 is 30, and 50% of 75 is 37.5, I suppose!
SORRY IF WRONG ;c
(Edit) wAIT tHE AaNSWER HAS TO BE A PERCENTAGE?
Well then idk
Five friends went out to lunch. They each started with the same amount of money, and they each spent $3. They ended with a combined total of $45. How much money did each of them have to start? ? (a) Write an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 5, 3, and 45. Let r represent the amount (in dollars) each person had to start.
Answer:each spent $9 for a total of 3 times $9 = $27. They ended with $18 so they originally had$27 + $18 = $45. Divide by 3 to get $15 each at the start
Step-by-step explanation:
Given the lengths of two sides of a triangle, find the range for the length of the third side. Write an inequality.
22 and 15
Answer:
| a - b | < length of third side < a + b
Step-by-step explanation:
Visualize the two given sides of the triangle (let's call then a and b), joined at the vertex of the triangle, and forming an angle. We can join the other free end of these two segments, with another segment whose length would vary according to how tiny or large the angle is. We can spread the aperture of the angle they form as much as we can just below (not reaching this angle measure, because in such case, there will be no triangle of tangible area. In such case, the length of the joining segment will be limited by the addition of the two sides:
length of third side < a + b
In the case the aperture of the angle formed by the two given sides is diminished as much as possible to still form a measurable triangle, the angle has to be just larger than zero, and in such case, the segment joining the other to ends of a and b would be just larger than the absolute value of the difference between a and b:
length third side > | a - b|
These are the two extreme cases, and the length of the third side must be within these limits.
Answer:
divide 22 by 15
Step-by-step explanation:
Q1. If ∛5x+10=5, Find x
Answer: x=-25
Step-by-step explanation:
Concept to know:
When given a number that is cubic root, in order to solve the equation/function, you need to cube numbers on both sides.
Solve:
Given
∛5x+10=5
Subtract 10 on both sides
∛5x+10-10=5-10
∛5x=-5
Cube numbers on both sides
5x=-125
x=-25
Answer:
x = -25Step-by-step explanation:
If ∛5x+10=5, Find x
∛5x = 5 - 10
∛5x = -5
take both sides of equation to the power of 3
5x = -125
x = -125/5
x = -25
Compare the total quantity of fruit used with the quantity of oranges. Write your answer in a sentence.
Answer:
what are the numbers
Step-by-step explanation:
Answer me properly then get brainliest!!!!!!!!!!
edit this picture and write the correct answers
Answer:
minimum for the first one is 72 and the maximum is 88 the median is 79 the range is 16 the IQR is 10
Step-by-step explanation:
Please help!!!!!!!!!!!!
Hey ! there
Answer:
Option D. 39 is correct answerStep-by-step explanation:
In this question we are given an expression that is x³ + x² + x and value of x is equal to 3 . And we are asked to find the value of expression when value of x is 3 .
Solution : -
\( \quad \dashrightarrow \qquad \: x {}^{3} + x {}^{2} + x\)
Now substituting value of x as 3 in it ,
\( \quad \dashrightarrow \qquad \: 3 {}^{3} + 3 {}^{2} + 3\)
\( \quad \dashrightarrow \qquad \: 27 + 9 + 3\)
\( \quad \dashrightarrow \qquad \: 36 + 3\)
\( \quad \dashrightarrow \qquad \: \blue{\underline{\boxed{\frak{39}}}} \quad \bigstar\)
Henceforth , value of expression when x is equal to 3 is 39 .Therefore , Option D is correct. #Keep LearningHey mate ,
The equation given is x³+x²+x
It has asked what would be the value of equation if we substitute 3 as the value of xThere are many ways to solve the equation ,
Lets use the simple one ,
When we substitute 3 at the place of x , we get
= x³+x²+x
= 3³ + 3² + 3
= 27 + 9 + 3
= 39
When we substitute 3 at the place of x we get 39
Issa lil past due hmo cause ion feel like figuring this out
Answer:
A, D,
Step-by-step explanation:
1 can per 3 tennis balls are shown in the graph
1x2=2 cans
6x2=12 balls (a)
1x2=2 cans
3x2=6 balls
now im gonna do my own hw ;)
pls help me with this friends
Answer:
A,B,C
Step-by-step explanation:
if you see that two small make a square then you know three make one and a half.
Choose the scenario that could be represented by 3/8.
A. 16 pieces of candy are shared among 6 friends.
B. An 8-foot piece of wood is cut into 3 pieces.
C. A family divided up a 3 day trip into 8 segments.
D. Javier saves $3 a week for 8 weeks.
Answer:
C
Step-by-step explanation:
A division equation can be rephrased (i guess thats what you call it) into fraction form. The equation for C is 3 divided by 8, which can be put into fraction form as 3/8. Hope this helps!
Answer:
The answer is C
Step-by-step explanation: When your doing something like this, it's best to be practical and pay attention to the wording
A says 16 pieces of candy shared with 6 friends which is 16/6 which can't be represented by 3/8
B would be represented by 8/3 due to it's wording and the order of which the words are
However C would be 3/8 since the words say, a 3 day trips divided into 8 segments which is 3/8 unlike B which said an 8-foot piece of wood cut into 3 pieces which would be 8/3
D is just 3x8 since he consistanly saves 3 dollars for 8 weeks
I hope this makes sense and I'm sorry if this is confusing
Please give me a real answer, this is all the info I have for this question.
Answer:
This question is not completed. Alot is missing
Step-by-step explanation:
-24 = u ÷ 6 u = _____|
evaluate the expression xy - 4x when x = 2 and y = 7 .
please help im trying to finish my pretest questions .
the anwer is x=3
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
\(xy - 4x \)
\((x \times y) - (4 \times x)\)
You replace where x to 2 and where y is to 7
\((2 \times 7) - (4 \times 2)\)
\(14 - 8 = 6\)
A scale model of a ramp is a right triangular prism as given in this figure. In the actual ramp, the triangular base has a height of 0.6 yards.
What is the surface area of the actual ramp, including the underside?
Enter your answer as a decimal in the box.
yd²
Answer:
Step-by-step explanation:
The surface area of the actual ramp including the underside is 16.8 ft²
The height of the actual ramp = 1.2 feet
The height of the model = 6 cm
What is the surface area of a right triangular prism?A right triangular prism is a 3-dimensional triangle with two congruent triangular faces and 3 rectangular faces that connect the triangular.
here, we have,
The surface area of a right triangular prism
= (Perimeter of the base × Length of the prism) + (2 × Base Area)
Scale factor = 1.2 feet / 6 cm = 0.2 ft/cm
Actual base = 16 cm × 0.2 ft/cm = 3.2 ft
convert the units
9 cm = 9 cm × 0.2 ft/cm = 1.8 ft
10 cm = 10 cm × 0.2 ft/cm = 2 ft
The surface area of a right triangular prism
= (Perimeter of the base × Length of the prism) + (2 × Base Area)
Surface area of actual ramp
= 2(0.5 × 3.2 ft × 1.2 ft) + 2(2 ft × 1.8 ft) + (1.8 ft × 3.2 ft)
= 16.8 ft²
Hence, the surface area of the actual ramp including the underside is 16.8 ft²
Learn more about the area here:
brainly.com/question/25292087
#SPJ3
Please help!! Giving away 10 points 4 this‼️
Answer:
D) since -2 is to the left of 1, -2 < 1.
Step-by-step explanation:
Help me with my math
Part A: What is the area of the circle? Round your answer to the nearest tenth of a square inch.
Pls help......pic included...with work pls don't do solving equations containing decimals
Answer:
5)
22. x = 10
23. k = 75
24. y = -24
Solve:
19. w = -2
20. x = -10
21. a = -10
22. n = -48
Step-by-step explanation:
Too many questions for explanation sorry.
Hope this helps! Have a nice day!
Answer:
22. 3x/3=30/3 x=10
23. K-25=50
+25
K=75
24. Y+16=-8
-16
Y=-24
19. W-4=-6
+4
W=-2
20. X+5= -5
-5
X=-10
21. -6a/-6=60/-6
A= -10
22. (-4/1)h/-4=12(-4/1)
H=12x -4
H= -48
Step-by-step explanation:
7th grade math I'll give brainliest
Answer:
Step-by-step explanation:
Rise over run is the slope, m
m=2/5
a) the slope is 2/5 = .4 which is below the boundary guideline. So no this is not with in carpenter's guidelines
b) the image below show a line with slope 2/5 but with intercept 3
c) the stairs can be draw on the line with rise 2 run 5 from the line. see image
d)equation is in image
2.
a) count the squares
horizontal distance =3
vertical distance =3
b) slope is vertical distance over horizontal distance so m= 3/3 =1
Brandon deposited $250 into a checking account that does not earn interest. Each month he withdrew $10 and then deposited $45 into the account. Which type of function best models the amount of money that Brandon has in his account after x months?
Answer:
the answer would be A 20x-50 because you are taking 20 away
Step-by-step explanation:
Dont quote me though
Answer:
Brandon Farris? 0w0
Step-by-step explanation:
what is the sum of the values less than 34?
Answer:
use any numbers that you can add and get 34
for example: 22+12
I will give brainliest answer
Answer:
theres google for this
Step-by-step explanation:
37.5
Answer:
I think it should be A=37.5 I'm not so sure,hope this helps tho!
Step-by-step explanation:
If Figure 1 has been rotated 90 degrees about the origin to form Figure 2, which statement is true?
A. The measure of angle A is congruent to the measure of angle C.
B. The measure of segment AB is congruent to the measure of side RQ.
C. The measure of angle A is congruent to the measure of angle P.
D. The measure of segment CB is congruent to the measure of segment PS.
Answer:
105 degrees
Step-by-step explanation:
do it right in you should need up with that answer.
PLs HElp duw in a few secs 50 points!!!!
Answer:
\(f(t)=5 \cdot 3^t\)
The following statements are true:
t = independent variablef(t) = dependent variableWhen f(5) = 1215, the "5" represents "5 years" and the 1215 represents 1215000 which is "1.215 million cars sold"Which list orders the numbers from least to greatest?
Negative 2.4, negative 1.5, negative 2 and one-fourth, negative 3, negative 1 and one-eighth
A number line going from negative 4 to positive 4.
Negative 1 and one-eighth, negative 1.5, negative 2 and one-fourth, negative 2.4, negative 3
Negative 3, negative 2.4, negative 2 and one-fourth, negative 1.5, negative 1 and one-eighth
Negative 3, negative 2 and one-fourth, negative 2.4, negative 1 and one-eighth, negative 1.5
Negative 1.5, negative 1 and one-eighth, negative 2.4, negative 2 and one-fourth, negative 3
Negative 3, negative 2.4, negative 1.5, negative 2 and one-fourth, negative 1 and one-eighth
Hope my answer helps you✌️
HELP!!! I NEED THE ANSWER ASAP!!!
We don't know how many cars James has but we know they have 't'. But we know Paul has 13 cars. The question asks if Paul hands over half of his cars to James how many would James have? Well, 13 / 2 = 6.5
If James right now has 't' cars then after Pauls give his cars, then James will have t + 6.5.
Hope this helps!
giving brainlyest
Write an expression that can be a rule for the number sequence below.
6, 9, 12, 15, 18, …
3n, where n is equal to 2, 3, 4, 5, 6
3 + n, where n is equal to 2, 3, 4, 5
6n, where n is equal to 0, 1, 2, 3, 4
6 + n, where n is equal to 1, 2, 3, 4
Answer:
The arithmetic sequence expression for the given sequence 6, 9, 12, 15, 18....... would be aₙ = 6+(n-1)3.
What is an arithmetic sequence?
A progression or sequence of numbers known as an arithmetic sequence maintains a consistent difference between each succeeding term and its predecessor.
The common difference of that mathematical progression is the constant difference.
'n' denotes the term's position in the supplied arithmetic sequence in the formula for obtaining the general term: a = a1 + (n - 1) d. For instance, a2 denotes the second phrase in the sequence.
So, the given sequence is:
6, 9, 12, 15, 18
Common difference (d) is: 9 - 6 = 3
Then, the sequence expression would be:
aₙ = 6+(n-1)3
Therefore, the arithmetic sequence expression for the given sequence 6, 9, 12, 15, 18....... would be aₙ = 6+(n-1)3.
PLS HELP!!!!!
Brayden conducted a scientific experiment. For a certain time, the temperature of a compound rose 2 2/5 degrees in 1/5 of an hour. How much did the temperature of the compound rise in one hour?
Answer: 12 degrees or 11 5/5 or 60/5
Step-by-step explanation:
Since the temperature is rising 2 2/5 per 1/5 of an hour we just need to multiply 2 2/5 times 5 because 5/5 would equal the whole hour. In order to multiply easier you can change 2 2/5 to an improper fraction by multiplying the whole number with the denominator and then adding the numerator. Which you should get 12/5 next change 5 to a fraction which would be 5/1. 5 times 12 is 60 and 5 times 1 is 5. You get 60/5 which if divided is 12.
For the number line you just have to find 1/5 and 2 2/5 on it and mark it.
PLS SOMEONE WITH A REAL AWNSER HELP ME WITH THIS QUESTION!
Answer: 0.8 seconds
Step-by-step explanation: