Answer:
0.06
Step-by-step explanation:
let 0.09 be a1
and 0.15 be a2
and 0.21 be a3
common difference = a2-a1 or a3-a2
a2-a1= 0.15-0.09 = 0.06
a3-a2= 0.06
hence the common difference in the ap in 0.06
The area of a square backyard is
400 square meters. What is the
length of each side of the
backyard?
Answer:
100 meters
Step-by-step explanation:
Since the backyard is a square, each side is the same length and there are 4 sides. So, 400÷4=100
What composition forms the equation p(x) when given the functions for h(x), f(x), k(x), and g(x)? PLEASE HELP!!!!! thank you!!!!! *will ofc give brainliest*
Answer: Choice B. k(h(g(f(x))))
For choice B, the functions are k, h, g, f going from left to right.
===========================================================
Explanation:
We have 4x involved, so we'll need f(x)
This 4x term is inside a cubic, so we'll need g(x) as well.
So far we have
g(x) = x^3
g( f(x) ) = ( f(x) )^3
g( f(x) ) = ( 4x )^3
Then note how we are dividing that result by 2. That's the same as applying the h(x) function
[tex]h(x) = \frac{x}{2}\\\\h(g(f(x))) = \frac{g(f(x))}{2}\\\\h(g(f(x))) = \frac{(4x)^3}{2}\\\\[/tex]
And finally, we subtract 1 from this, but that's the same as using k(x)
[tex]k(x) = x-1\\\\k(h(g(f(x)))) = h(g(f(x)))-1\\\\k(h(g(f(x)))) = \frac{(4x)^3}{2}-1\\\\[/tex]
This leads to the answer choice B.
To be honest, this notation is a mess considering how many function compositions are going on. It's very easy to get lost. I recommend carefully stepping through the problem and building it up in the way I've done above, or in a similar fashion. The idea is to start from the inside and work your way out. Keep in mind that PEMDAS plays a role.
Last year, Mr. Smith's biology class averaged 73 on their first test. This year, his new class averaged 87 on the
same test. Based on these results, is it reasonable to conclude that this year's class is more intelligent?
O Yes, a grade of 87 is higher than a grade of 73.
O Yes, the study was done in an academic setting.
O No, the experiment was not double-blind.
No, there was no use of a placebo in the experiment.
O No, there may be other differences between the two years besides the grades.
Answer:
Yes
Step-by-step explanation:
87 is higher than 73
For your question: "Last year, Mr. Smith's biology class averaged 73 on their first test. This year, his new class averaged 87 on the
same test. Based on these results, is it reasonable to conclude that this year's class is more intelligent?"
The answer would be E
Evaluate each using the values given.
1. 6c(a+a+a); use a=1, and c=3
Answer:
54
Step-by-step explanation:
6c(3a)
c = 3
a = 1
6*3(3(1) )
6 * 9
54
Thanks for the Help, i love you guys
Answer:
b i think
Step-by-step explanation:
Help!! Now that you found the cost of the meal with tax. Now they want to leave a
15% tip on the total bill AFTER tax. How much money will they pay for their
dinner with tax and tip? *
Answer:
92*.15=13.8 Add the $13.8 to the $92 and you get $105.8
Step-by-step explanation:
Mary says that -5 x 2 = -3. Explain the mistake Mary made and write the correct number sentence including the correct answer.
Answer:
it should be -10
Step-by-step explanation:
5 x 2 is 10 but you add the negative. Mary added instead of multiplied.
Answer:just report it or sumthing
Step-by-step explanation:
4/9=x/36 show the steps and i will give brainliest
Answer:
x = 16
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
4/9 = x/36
Step 2: Solve for x
Cross multiply: 144 = 9xIsolate x: 16 = xRewrite: x = 16Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 4/9 = 16/36Simplify: 4/9 = 4/9Here we see that 4/9 does indeed equal 4/9.
∴ x = 16 is the solution to the equation.
Hi could somebody please help me answer this question? Thank youuu
Given:
[tex]\ln(y-8)=-2x+\ln C[/tex]
To find:
y as a function of x.
Solution:
We have,
[tex]\ln(y-8)=-2x+\ln C[/tex]
It can be written as
[tex]\ln(y-8)=\ln e^{-2x}+\ln C[/tex] [tex][\because \ln e^x=x][/tex]
[tex]\ln(y-8)=\ln (Ce^{-2x})[/tex] [tex][\because \ln (ab)=\ln a+\ln b][/tex]
On comparing both sides, we get
[tex]y-8=Ce^{-2x}[/tex]
Adding 8 on both sides, we get
[tex]y=Ce^{-2x}+8[/tex]
Therefore, the equation function is [tex]y=Ce^{-2x}+8[/tex].
jim drives 350 miles in 5 hours hopw long does he drive in 1 hour
What is the equation in slope-intercept form of a line that passes through the point (4, 5) and has a slope of 12?
Y=_x+_
Answer:
y= 12x -43
Step-by-step explanation:
y-5 = 12(x-4)
y-5= 12x-48
+5 +5
y= 12x- 43
6.12 x 10^4 ? 612,000
loget + loge 3 = loge (x + 1)
OA. c=
을
○ B. I = !
OC.x = 1
OD. t= = 를
Devide : 72x2y2z by - 12 xyz
Answer:
[tex] \frac{72 x 2y2z}{12xyz} \\ = 6xyz[/tex]
5/109 in the simplest form?
Answer:
That is the simplest form.
Step-by-step explanation:
5/109 cannot be reduced any farther.
!please need help ASAP! 2) Find the slope between the two points (-5, 8) and (2, 22)
Answer:
if this is in a graph, this means that the answer would be 2
Step-by-step explanation:
Can you please help
Plzzzzzz
Proportional means
Check ALL that apply.
*
same
equal
different
other
Answer:
promotional means same
hope it may help if it so please mark as brienlist
If there are 24 apples and 32 bananas for a fruit basket, fill out all of the possible ratios of apples to bananas that could be made.
Answer:
1) 24:32
2) 12:16
3) 6:8
4) 3:4
*Explanation:*
1) Just what the text said
2) 24 and 32 get divided by 2
3) 24 and 32 get divided by 4
4) 24 and 32 get divided by 8
A business building has several office spaces for rent. Each
office is in the shape of a right triangle. If one side of the
office is 11 feet long and the longest side is 15 feet long,
what is the length of the other side?
Answer:
104
Step-by-step explanation:
Because the square root of 104 is 10.433
Answer:
104
Step-by-step explanation:
what is the answer plz ASAP
Answer:
The slope is -5/4 and the y-intercept is 5 so the answer is A
Step-by-step explanation:
Answer:
I think the answer is A sorry if it is wrong
Step-by-step explanation:
38 boys and 22 girls visit a zoo
33 of these children have a voucher
Twice as many boys as girls do not have a voucher
Complete the frequency tree
The frequency tree will be 9 girls and 18 boys don't have a voucher.
How to calculate the value?Boys = 38
Girls = 22
Total = 60
Children who have a voucher = 33
Children who don't have a voucher = 60-33 = 27
Twice as many boys as girls do not have a voucher
Girls who don't have a voucher: x
Boys who don't have a voucher: 2x
Girls without voucher + boys without voucher: x + 2x = 27
3x = 27
x = 27/3
x = 9
Girls who don't have a voucher: x=9
Boys who don't have a voucher: 2x = 2(9) = 18
For frequency tree:
Total students: 60
Boys : 38
Boys who don't have a voucher : 18
Boys who have a voucher: 38 - 18 = 20
Girls: 22
Girls who don't have a voucher: 9
Girls who have a voucher: 22 - 9 = 13
Learn more about frequency tree on:
https://brainly.com/question/27989935
#SPJ1
The sum of three numbers is 41.
The second number is 5 times the first.
The third number is 14 less than the second.
What is the third number?
Answer:
look below
Step-by-step explanation:
a = the 1 st# b = 2nd # c= 3rd #
a+b+c=41
b=5a
c=14-b
plug in one of those values
a+b+14-b=41
a+14=41
-14
a=27
plug in the "a" value
order the decimal from least to greatest 6.38,6.4,6.325,6.42
Find the missing term: 1, 1.5, x, 2.5, 3,
Answer:
x=2
Step-by-step explanation:
Counting by 0.5 pattern
5 divide 15x 15squared
Answer:
75
Step-by-step explanation:
(5 /15) x (15 squared = 75
Help me please I need an answer asap
Which of the following statements would best represent the value of a? PLEASE HELP
Answer:
c option
Step-by-step explanation:
please mark me brainliest and 5 star
The dimensions of the rectangular patio in her sketch are:
The width is 4 centimeters.
The length is 7 centimeters.
Answer:
28 centimeters
Step-by-step explanation:
multiplying the two digits
Answer:
Area: 28
Perimeter: 22
Step-by-step explanation:
Which represents a side length of a square that has an area of 288 square inches?
Answer:
D
Step-by-step explanation:
Answer:
72 in
Step-by-step explanation:
a square has 4 sides so you divide 288 by 4 and get 72
Multiply.
(−2/3)(5/4)
Enter your answer as a fraction thats in simplest form.
Answer:
(-2/3) (5/4) = -5/6
Answer:
Step-by-step explanation:
(-2/3) x (5/4) =
multiply the numerators together, then multiply then denominators together (as normal) to get:
-10/12
then simplify to:
-5/6
hope that helps :)