Answer: [tex]f(x)=2x^2+5[/tex]
Step-by-step explanation:
First integrate f'(x) so we can find the funtion f(x):
[tex]4\int\limits {x} \, dx =4[\frac{1}{2} x^2]=2x^2+C=f(x)[/tex]
The initial conditions say that when x = 0, the function equals 5. Let's write that down:
[tex]f(0)=5=2(0^2)+C=C[/tex]
Therefore, the integration constant 'C' must equal 5. This means that our function is:
[tex]f(x)=2x^2+5[/tex]
how is 0.136 written as a fraction in simpilist form. is my answer correct?
Answer:
Yes you are
Step-by-step explanation:
case as) the repeating decimal is 36
Multiply x by a power of , one that keeps the decimal part of the number the same:
Subtract from
The repeating decimals should cancel out
solve for x
Divide by both sides
Simplify
Divide by both numerator and denominator
therefore
the answer case a) is
The fraction in easyiest form is
case b) the repeating decimal is 136
Let
Multiply x by a power of, one that keeps the decimal part of the number the same:
Subtract from
The repeating decimals should cancel out
solve for x
Divide by both sides
-----> irreducible
therefore
the answer case b) is
The fraction in simplest form is
136/999
Which expression correctly shows the difference between the product of 8 and 5 and the sum of 8 and 7?
O 8 x (5-8) +7
O (8 x 5) + (8 + 7)
O 8x (5+8)+7
O (8 x 5) - (8 + 7)
feel
Wacom
aer
Answer:
D. (8 x 5) - (8 + 7)
Step-by-step explanation:
Evaluate the word problem.
The difference (we will be subtracting.) between the product of 8 and 5 (8 * 5) and the sum of 8 and 7 (8 + 7)?
So set it up.
(8 * 5) - (8 + 7)
This is the correct answer because we are taking the difference of the product of 8 and 5 and the sum of 8 and 7.
What is the equation to this graph using Y=MX+B. Show Work.
Answer:
y = 2x + 9
Step-by-step explanation:
Y = mx + b indicates slope-intercept equation.
"b" represents y -intercept/beginning.
"mx" represent slope/constant of variation/rate of change
x-intercept represents the end of the graph. (in stories using money its the ending amount).
The y-intercept is always when the x-value is 0. The point of the y-intercept is on the y-axis. The line on the graph starts at the point (0,9). It can be located on the point right above the number labeled under the 9 which is 8. Since the x-value is 0,
The y-intercept is 9.
To find the slope, we have to find two points on the graph to use.
Two points on the graph are:
(1.5, 13) , (2, 14)
Using the slope formula:
y2-y1/x2-x1
Plug in:
14-13/2-1.5
Complete:
1/0.5
divide:
The numbers in 1 divided by 1/2 are labeled below:
1 = whole number
1 = numerator
2 = denominator
To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:
1 x 2/1 = 2/1
Thus, the answer to 1 divided by 1/2 in fraction form is:
2/1
To make the answer to 1 divided by 1/2 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
2 / 1 = 2
The answer is rounded to the nearest two decimal points if necessary.
2/1 is an improper fraction and should be written as 2.
So now that we have the y-intercept and slope:
Y-intercept: 9
Slope: 2
Equation: y = 2x + 9
Terms: Linear Equations 8th Grade
find the missing length of a rectangle with a width of 7b^3 and an area of 77a^8b^8
Answer:
Step-by-step explanation:
Your food costs are $2,000.
Your total food sales are $8,500. What percent of your food sales do the food costs represent?
Answer:
23.53%
Step-by-step explanation:
Given :
food costs = $2,000total food sales = $8,500Solving :
Food costs / Total Food Sales2000/85004/170.235323.53%Mike is working on solving the exponential equation 74^x = 37; however, he is not quite sure where to start. Using complete sentences, describe to Mike how to solve this equation.
Answer:
Method 1
[tex]74^x = 37[/tex]
Take natural logs of both sides:
[tex]\implies \ln74^x = \ln37[/tex]
Apply the log power rule: [tex]\ln(a)^b=b \ln (a)[/tex]
[tex]\implies x\ln74 = \ln37[/tex]
Divide both sides by ln 74:
[tex]\implies \dfrac{x\ln74}{\ln74} = \dfrac{\ln37}{\ln74}[/tex]
[tex]\implies x= \dfrac{\ln37}{\ln74}[/tex]
[tex]\implies x=0.8389552282...[/tex]
Method 1
[tex]74^x = 37[/tex]
Take logs of base 74 of both sides:
[tex]\implies \log_{74}74^x = \log_{74}37[/tex]
Apply the log power rule: [tex]\log_am^n=n\log_am[/tex]
[tex]\implies x\log_{74}74= \log_{74}37[/tex]
Apply log of the same number as base rule: [tex]\log_aa=1[/tex]
[tex]\implies x= \log_{74}37[/tex]
[tex]\implies x=0.8389552282...[/tex]
Answer:
[tex]x = \log_{74}(37) [/tex]
Step-by-step explanation:
we want to solve the following exponential equation:
[tex] \iff {74}^{x} = 37[/tex]
Taking common logarithm of both sides yields:
[tex]\iff \log{74}^{x} = \log37[/tex]
recall that,
[tex] log( {a}^{x} ) = x log(a) [/tex]utilizing it yields:
[tex] \iff x \cdot\log{74} = \log37[/tex]
divide both sides by log74:
[tex]\iff \dfrac{ x \cdot\log{74}}{ \log(74)} = \dfrac{ \log37}{ \log(74) }[/tex]
remember that,
[tex] log_b( {a} ) = \frac{log(a)}{log(b)} [/tex]
hence,
[tex]x = \boxed{ \log_{74}(37)} [/tex]
1. you make a deposits of a 467,00 into an ordinary annuity earning 5.75.7. compounded moyenthly, how many deposits must you make so that you will have atleast & 196.000?
HELP QUICKLY PLEASE
31. Tony is borrowing $10 from his mom every week for buying more toy cars for his Hot Wheels collection. How much money does he owe at the end of 7 weeks?
33. Linda borrowed $7 a day until she had borrowed a total of $56. For how many days did she borrow money?
34. The temperature increased 2o per hour for six hours. How many degrees did the temperature raise after six hours?
35. Max lost 24 pounds in 8 weeks on his new weight-loss plan. What was his average change in weight per week?
Answer:
the answer to 33 is 8 7×8=56 or 56÷7
f(x) =2x^3 + 3x^2 - 7x + 2 g(x) = 2x-5 find (f+g)(x)
Answer:
Step-by-step explanation:
Remark
The way this is written, the notation is directing you to add the right hand sides of the two given polynomials.
Givens
f(x) = 2x^3 + 3x^2 + 7x + 2
g(x) = 2x - 5 Add
Solution and Answer
Answer: (f + g)(x) = 2x^3 + 3x^2 + 9x -3
Be careful with that - 5. The result is -5 + 2 = - 3
Answer: It's (f+g)(x)=2x^3+3x^2-5x+3
Step-by-step explanation: I just did it.
Which of the following statements is not true?
- the median is not affected by outliers as much as the mean.
- the mode is the most frequently occurring value(s) in a data set.
- the best measure of central tendency depends on the data set.
- the mean is the middle value of a data set.
Answer:
the mean is the middle value of the data set.
Step-by-step explanation:
the mean is the average of all the data, so i would say the last statement is incorrect.
Answer:
the mean is the middle value of a data set
Target 3: I can create or complete a table using equivalent ratios.
4. A wallpaper pattern has 6 stars for every 4 moons. How many stars would there be if there were 16
moons?
Stars
Moons
Answer:
24
Step-by-step explanation:
Remark
This can be done with a proportion which consists of 2 equal ratios. That's 4 parts total. If you know 3 of the parts, you can find the 4th.
Givens
Stars1 6
Moon1 4
Starts2 x
Moon2 16
Formula
stars1/moon1 = stars2/moon2
Solution
6/4 = x / 16 Multiply by 16
6 * 16/4 = x
Answer: 96/4 = 24
Find the 16th term in the geometric series where the first term is 6 and the
common ratio is 2.
Answer: The first term of a GP is 6 if it's common ratio is 2 find the 6th term
The nth term is ar^(n-1)
So, for your GP, the 6th term is 6*2^5 = ___
Step-by-step explanation: 10:2021
The value of 16th term in the geometric series is,
⇒ 6th term = 192
What is Geometric sequence?An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.
Given that;
The first term is 6 and the common ratio is 2.
Hence, We can formulate;
⇒ nth term = arⁿ⁻¹
⇒ 6th term = ar⁶⁻¹
⇒ 6th term = ar⁵
⇒ 6th term = 6 (2)⁵
⇒ 6th term = 6 x 32
⇒ 6th term = 192
Thus, The value of 16th term in the geometric series is,
⇒ 6th term = 192
Learn more about the geometric sequence visit:
https://brainly.com/question/25461416
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At a dance school, 18 students attend class on Tuesday. Six of those students are boys. What is the ratio of girls
to total students attending class on Tuesday?
Answer:
= 12 : 18
Step-by-step explanation:
• 18 - 6 = 12
• girls = 12
• total students = 18
• girls to total students
= 12 : 18
Answer:
12:18
Step-by-step explanation:
Three shelves contain a total of 88 DVD's. The first and second shelves contain a total of 54 DVD's.The second and third shelves contain a total of 57 DVD's.The first and third shelves contain a total of ____ DVD's.
Answer:
Either 27 or 55
If right please make brainleist for others to learn from this answer thanks!
Step-by-step explanation:
Answer:
x=31, y=23, z=34
Step-by-step explanation:
The first shelf is x. The second shelf is y. The third shelf is z.
x+y=54.
y+z=57
x+y+z=88
You can substitute 54 in for x+y in the third equation to solve for z.
54+z=88
Subtract 54
z=34
Now that you know z, substitute it in in the second equation.
y+34=57
y=23
Finally, substitute the known y value into the first equation.
x+23=54
x=31
22. The population, P, of the city of Hazelton has grown according to the mathematical model
P = 65,000(1.075)', where t is the number of years since 2005.
a) At what percentage is the population growing? [1 mark]
Answer:
7.5%
Step-by-step explanation:
The exponent 't' is applied to 1.0751.075 is the rate at which it increasesDecimal → % = x 1001.075 × 100 = 107.5%107.5% - 100% = 7.5%what is £15 reduced by 30%
Answer:
10.5
Step-by-step explanation:
10% = 1.5
1.5 x 3 = 4.5
4.5 = 30%
15 - 4.5 = 10.5
What does 5 in = how many feet/foot?
Answer:
5/12
Step-by-step explanation:
Since 12 inches is one foot, the number has to be a fraction number. The answer is 5/12 feet.
The data set below shows the weights of some puppies, in pounds, at a kennel:
10, 11, 12, 12, 13, 13, 14, 15, 15
Which histogram represents the data set?
Answer:
The second histogram. and this is because of the arrangement of data which is the puppies
Answer:
I think its A)
Step-by-step explanation:
(brainliest is gonna begiven answer correctly please) Use the formula V = s³, where V is the volume and s is the edge length of the cube, to solve this problem.
A cube-shaped bin has an edge length of 12 yard.
What is the volume of the container?
Enter your answer, as a fraction in simplest form, in the box.
Answer:
[tex]\sf V=\dfrac18\: \sf yd^3[/tex]
Step-by-step explanation:
Volume of a cube formula
[tex]\sf V=s^3[/tex]
where:
V = volumes = edge lengthGiven:
s = 1/2 yard[tex]\sf \implies V=\left(\dfrac12\right)^3[/tex]
Apply exponent rule [tex](\frac{a}{b})^c=\dfrac{a^c}{b^c}[/tex]
[tex]\sf \implies V=\dfrac{1^3}{2^3}[/tex]
[tex]\sf \implies V=\dfrac18\: \sf yd^3[/tex]
Volume:-
side³(1/2)³1/2³1/8yd³the temperature was 8 degrees at noon. by 11 p.m., it had dropped 12 degrees. How was the temperature at 11 p.m.
Maya is building a model of her city's downtown area. She is constructing part of an office building, as shown below. Each cube has an edge length of 1/6 foot.
The volume of the model building is cubic foot?
A.2/3
B.1/36
C.1/4
D.1/9
E.1/2
Answer:
B I think my bad if its wrong
Answer: the answer is e
Step-by-step explanation: 1 over 6 multiplied by 9 cubes will give 1.5 which is 1 over 2 . 4 cubes are the length and 2 the width and 3 height s o equal 9 . 9 times 1 over 6 equals 1.5 which is the last one. hope it helps buddy .
Please please give brainliest !!! Thanks .
Let's Apply Solve for the surface area of the following figures.
Answer:
1. 864in^2
2. 331.2581cm^2
3. 201.0619m^2
4. 516.548m^2
5. 2827.4334mm^2
What is the solution to 3x/4 =7/3
Answer:
[tex]x=\frac{28}{9}[/tex]
Step-by-step explanation:
[tex]\frac{3x}{4} =\frac{7}{4}[/tex]
[tex]\Longleftrightarrow \left( 3x\right) \times 3=7\times 4[/tex]
[tex]\Longleftrightarrow 9x=28[/tex]
[tex]\Longleftrightarrow x=\frac{28}{9}[/tex]
Integrated math 1 homework
Answer:
I, III
Step-by-step explanation:
if there are 27 books and only 3 people at least one person must have read more than 7 books as if 3 people each read 7 books that would be 21 books which is less than 27
What’s the following sum?
[tex] \huge{ \orange{ \boxed{ \bold{6 \sqrt{5} }}}}[/tex]
EXPLAINATION :
By following the rule in finding the sum or difference of similar radicals
[tex] \green{a \sqrt{c} \: + \: b \sqrt{c} \: = (a + b) \sqrt{c} }[/tex]
Answer:
3.73
Step-by-step explanation:
What number can be divided into 2 equal groups whit out a reminder
all even numbers
hope it really helps...!!!
Answer:
all even numbers. because when divisible by two there is no reminder
One positive integer is 7 less than twice another. The sum of their squares is 433. Find the integers.
Answer:
This is the correct answer
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
How to calculate percentage profit?
Answer:
Profit/Cost Price*100
Step-by-step explanation
Calculated by working out the difference between the cost price and the selling price, which is then divided by the original price and multiplied by 100, giving you a percentage. Cost price is the original price for good which the retailer has bought for.
If the graph of f '(x) has an X-intercept at x = C, which of the following must be true?
A. The graph off has a relative minimum or relative maximum at x = C.
B. The graph off has an inflection point at x = C.
C. The graph off has an x-intercept at x = C.
D. None of the above is necessarily true.
Answer: D
Step-by-step explanation:
f'(C) = 0 ⇒ There is a critical point here
There could be a relative max or min here, but since we do not know if f''(x) is positive or negative, we cannot be sure if the function is truly changing from positive to negative or vice versa. "C" could simply be at a horizontal tangent of a function like x³.
Write an equation to find the value of x and solve it. Round your answer to the nearest tenth if necessary.
x =
Write your equation and explain how you came up with your equation and how you solved it. What concepts apply to this problem? How do you know your answer is correct?
Answer:
x = 3
Step-by-step explanation:
If two secant segments intersect outside a circle, then the product of one secant segment with its external portion equals the product of the other secant segment with its external portion.
[tex](x + 9)(9) = (12 + 6)(6)[/tex]
[tex]9x + 81 = 108[/tex]
[tex]9x = 27[/tex]
[tex]x = 3[/tex]