Answer:
4
Step-by-step explanation:
If f(x)=3x-1 and g(x)=x+5, find (f o g)(x) and (g o f)(x)
(f o g)(x)=
(g o f)(x)
Answer:
(f o g)(x)= 3x + 14
(g o f)(x) = 3x + 4
Step-by-step explanation:
(f o g)(x) = f(g(x)) = f(x + 5) = 3(x + 5) - 1 = 3x + 15 - 1 = 3x + 14
(g o f)(x) = g(f(x)) = g(3x - 1) = 3x - 1 + 5 = 3x + 4
Answer:
[tex](f \circ g)(x) = 3x + 14[/tex]
[tex](g \circ f)(x) = 3x + 4[/tex]
Step-by-step explanation:
Hello!
Rewrite the equations:
[tex](f \circ g)(x) = f(g(x))[/tex][tex](g \circ f)(x) = g(f(x))[/tex]Given that:
f(x) = 3x - 1g(x) = x + 5Solve for [tex](f \circ g)(x)[/tex]:[tex]f(g(x)) = 3(g(x)) - 1[/tex][tex]f(x + 5) = 3(x + 5) - 1[/tex][tex]f(x + 5) = 3x + 15 - 1[/tex][tex]f(x + 5) = 3x + 14[/tex][tex](f \circ g)(x) = 3x + 14[/tex]
Solve for [tex](g \circ f)(x)[/tex]:[tex]g(f(x)) = f(x) + 5[/tex][tex]g(3x - 1) = (3x - 1) + 5[/tex][tex]g(3x - 1) = 3x +4[/tex][tex](g \circ f)(x) = 3x + 4[/tex]
A quadrilateral that has all congruent sides and all right angles is known as a
Answer: Square
Step-by-step explanation:
help me with this one please :) thank you
4 > 3 is an example of an?
Answer:
is an example of enequality
Part 1: Rewrite the mathematical expressions. a) 4³=
Answer:
64
Step-by-step explanation:
Water is being poured into a hemispherical bowl of radius 8 inches at the constant rate of
5 in^3/sec. Let V represent the volume of water in the hemispherical bowl (in cubic inches)
and let h represent the height of water in the bowl (in inches). Then V=pih2 (R-h/3),
where R represents the radius of the bowl in inches. Determine the rate at which the water
level is rising at the moment the water is 2.4 inches deep.
Answer:
Approximately [tex]0.0435\; \text{in} \cdot \text{s}^{-1}[/tex]. (Given that [tex]V = \pi\, r\, h^{2} - (1/3)\, h^{3}[/tex].)
Step-by-step explanation:
Let [tex]t[/tex] denote time. Both the volume of water in the bowl, [tex]V[/tex], and the height of water in the bowl, [tex]h[/tex], are dependent on [tex]t\![/tex] (as if the [tex]V\![/tex] and [tex]h[/tex] are functions of [tex]\! t[/tex].)
Implicitly differentiate both sides of the equation [tex]V = \pi\, r\, h^{2} - (1/3)\, h^{3}[/tex] with respect to [tex]\! t[/tex]:
[tex]\displaystyle \frac{d}{d t}[V] = \frac{d}{d t}\left[\pi\, r\, h^{2} - (1/3)\, h^{3}\right][/tex].
[tex]\displaystyle \frac{d V}{d t} = 2\, \pi\, r\, h\, \frac{d h}{d t} + (1/3)\, (3\, h^{2})\, \frac{d h}{d t}[/tex].
Both [tex]h[/tex] (current height of water in the bowl) and [tex](d V) / (d t)[/tex] (rate at which water is poured into the bowl) are given: [tex]h = 2.4\; \text{in}[/tex] and [tex](d V) / (d t) = 5\; \text{in}^{3}\cdot \text{s}^{-1}[/tex]. The question is asking for [tex](d h) / (d t)[/tex], the rate at which the water level in the bowl is rising.
Thus, rearrange the equation to find an expression for [tex](d h) / (d t)[/tex] in terms of [tex]h[/tex], [tex]r[/tex], and [tex](d V) / (d t)[/tex]. Substitute in the values [tex]h = 2.4\; \text{in}[/tex], [tex](d V) / (d t) = 5\; \text{in}^{3}\cdot \text{s}^{-1}[/tex], and [tex]r= 8\; \text{in}[/tex]; solve for [tex](d h) / (d t)\![/tex], the rate at which the water level is rising:
[tex]\displaystyle \frac{d V}{d t} = \left(2\, \pi\, r\, h\, + (1/3)\, (3\, h^{2})\right)\, \frac{d h}{d t}[/tex].
[tex]\begin{aligned} \frac{d h}{d t} &= \frac{\displaystyle \frac{d V}{d t}}{2\, \pi\, r\, h\, + (1/3)\, (3\, h^{2})} \\ &= \frac{\displaystyle \frac{d V}{d t}}{2\, \pi\, r\, h\, + h^{2}} \\ &= \frac{5\; \text{in}^{3} \cdot \text{s}^{-1}}{2\, \pi \, (8\; \text{in})\, (2.4\; \text{in}) + (2.4\; \text{in})^{2}} \\ &\approx 0.0435\; \text{in} \cdot \text{s}^{-1} \end{aligned}[/tex].
Subtract 4 from 8. Then, multiply by z.
Answer:
Kinda vague but here...
Step-by-step explanation:
z*(8-4)
z*(4)
4z
Which of the following figures is a pair of lines that are perpendicular?
Answer:
D is the correct answer.
Step-by-step explanation:
The lines are perpendicular as they go thiugh eachother at the center.
Answer:
4.) D
Step-by-step explanation:
A ( I'm not sure how to explain A )
B is an acute angle
C is a parallel line
D is a perpendicular line
I hope this helps!
Each wall in the room is 10feet by 11 feet how many rolls of wall paper will you need of each roll covers 25 square feet
Answer:
4.4 rolls
Step-by-step explanation:
10 x 11 = 110
110 / 25 = 4.4
What annual interest rate will cause your money to double in four years
Answer:
The rule also means if you want your money to double in 4 years, you need to find an investment that earns 18% per year compounded annually.
Step-by-step explanation:
100 POINTS!
What is the value of x? Enter your answer in the box. x =
Answer:
x = 4
Step-by-step explanation:
For ΔLJK
[tex]sin(K) = \frac{Opposite}{Hypotenuse} \\sin(30)=\frac{LJ}{8\sqrt{2} }[/tex]
[tex]LJ=8\sqrt{2} *sin30=4\sqrt{2}[/tex]
For ΔLMJ
[tex]sin(J) = \frac{Opposite}{Hypotenuse} \\sin(45)=\frac{LM}{4\sqrt{2} }[/tex]
[tex]LM=4\sqrt{2} *sin45=4[/tex]
x = LM = 4
Rename 2/3 and 3/4 using the least common denominator.
Answer:
17/12
Step-by-step explanation:
because it 12 the most minimum amounted common multiple of 3 and 4
HELPPP PLS
show work
find the following number of LCM in division method.
a) 6,8 and 12
Answer:
24 is the LCM.
Step-by-step explanation:
6, 12, 18, 24
8, 16, 24
12, 24
PLEASE SHOW HOW YOU GOT THE ANSWER THANKS!
GIVING BRAINLIEST!!!
Answer:
a) 5 b) 1 c) 0 d) -4
Explanation:
a) 10[(1/2+1/4) + 2(1/8)] ÷ 2
Ok, there's a lot going on. You will want to follow PEMDAS, the acronym of the Order of Operations. It stands for Parentheses, Exponents, Multiplication/Division, and Addition/Subtraction. The M/D can be switched depending on what comes first from left to right, and same goes for A/S.
First, start off by doing everything in the brackets.
Let's add 1/2 and 1/4. To add fractions, they have to have a common denominator. I'm making 1/2 into 2/4 but multiplying the top and bottom by 2. Now it is 2/4 + 1/4 so we can add to get 3/4.
The other thing inside the brackets is 2(1/8). We can just multiply straight across and get 2/8. This can be simplified to 1/4.
Now, we add 3/4 and 1/4. The denominators are already the same, so we can just add them together to get 4/4 or 1.
Rewriting the equation, we now have 10(1)÷2
10•1 = 10
10 ÷ 2 = 5
The answer to question a is 5.
b) √(0.6)² + (0.8)²
First, we need to square both terms. Squaring is the same as multiplying the number by itself.
0.6 • 0.6 = 0.36
0.8 • 0.8 = 0.64
Add them together: 0.36 + 0.64 = 1
√1 = 1
The answer to question b is 1.
c) (1/5 - 3/5) • √6•3/2 + (√36 ÷ √5²)
Let's start with the first bit: (1/5 - 3/5)
The denominators are the same, so just subtract and you get -2/5
The second bit now: [tex]\sqrt{6 *\frac{3}{2} }[/tex]
Multiply across and you get 18/2, which can be simplified to 9
√9 = 3
The third section: ([tex]\sqrt{36}[/tex]÷ [tex]\sqrt{5^{2} }[/tex])
The square root of 36 = 6 (because 6•6=36, so it's right)
The square root and the square cancel each other out, so the second part is 5.
6 ÷ 5 = 1.2
Now put it all together: -2/5 • 3 + 1.2
I'm making the 1.2 into a fraction so it is the same as the fraction: 1.2 = 6/5
We now have -2/5 • 3 + 6/5
First we multiply -2/5 and 3 across:
-2/5 • 3 = -6/5
Now we add -6/5 and 6/5 across:
-6/5 + 6/5 = 0
d) [-1.5 + √0.25 - (-0.75)] • 2^4
Doing the brackets first:
The square root of 0.25 = 0.5 (because 0.5 • 0.5 = 0.25)
-1.5 + 0.5 - -0.75
-1 + 0.75 (subtracting a negative make a positive)
-0.25
-0.25 • 2^4
2^4 = 16 (this is saying 2•2•2•2 which is 16)
-.25 • 16 = -4
The length of a cell phone is 1.2 inches and the width is 3.4 inches. The company making the cell phone wants to make a new version whose length will be 1.68 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?
Hi can anyone help? Is this 12?
Answer: Yes
Step-by-step explanation:
∛1728= ∛(2 x 2 x 2) x (2 x 2 x 2) x (3 x 3 x 3)
= 2 x 2 x 3
=12
Annie have 56 stamps that are 26 less than one half of my stamps how many stamps do i have?
Answer:
You have 164 stamps.
Step-by-step explanation:
Let the no. of my stamps be 'x'
Half of x subtracted by 26 = 56
[tex]\frac{1}{2} x[/tex] - 26 = 56
[tex]\frac{1}{2} x[/tex] = 56 + 26 = 82
[tex]x[/tex] = 82 x 2 = 164
Let's check
[tex]\frac{164}{2}[/tex] - 26 = 56
[tex]\frac{164}{2}[/tex] = 56 + 26
164 = 82 x 2
164 = 164!
The answer is correct.
23. Which number below could not be used to
PLEASEE HELP!!
A woman acquires a bond that has maturity date of 10 years and a face value of $5,000. If the bond has a coupon rate of 6%, then how much interest will she earn each year? *
Answer:
I = $3000
Step-by-step explanation:
I = PRT/100
P = principle= $5000
R = rate = 6%
T = time ( yrs) = 10 yrs
I = (5000*6*10) / 100
I = $3000
3 tons of sand cost $3,900.00. What is the price per pound?
Answer:
65¢
Step-by-step explanation:
3 tons of sand cost $3900
A ton is 2000 pounds
6000 pounds of sand cost $3900
3900/6000 = 0.65
65¢
Step-by-step explanation:
3ton ==> $3,900.00
1ton ===> $3,900.00/3 =$1,300.00
1 ton = 2204.623 pound
1 pound==> $1,300.00 / 2204.623 = $0.59 approx
Imani was assigned to make 64 cookies for the bake sale. If Imani made 25% more than they were assigned, how many cookies were made
Answer:
80 cookies
Step-by-step explanation:
25% of 64 is 16
16+64=80
Imani made total of 8 cookies.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Imani was assigned to make 64 cookies for the bake sale.
let she made x cookies.
So, x = 64 + 25% of 64
x = 64 + 25/100 (64)
x = 64 + 64/4
x = 64 + 16
x = 80
Hence, the total cookies made is 80.
Learn more about algebra here:
https://brainly.com/question/24875240
#SPJ2
Which of the numbers below are common
multiples of 2 and 5? Select all that apply.
A) 15
B) 20
C) 30
D) 35
E) 50
Answer:
20, 30, 50, they all go into 2 and they also go into 6, two doesn't divide equally into 5.
70 points! Brainliest for whoever gets it right! Thanks! Dean ran 2.3 fewer kilometers than Sam. If Dean ran 6.8 km, how far did Sam run? A 2-column table with 4 rows. Column 1 is labeled Situation with entries increasing, difference, finding part of a total, sharing or grouping. Column 2 is labeled Operation with entries +, minus, times, divided by. Select all that apply. You know the difference in the distances the boys ran, so this is a subtraction problem. You are finding the total distance the boys ran, so this is an addition problem. Dean ran part of the distance Sam ran, so this is a multiplication problem. The correct equation is s + 2.3 = 6.8. The correct equation is s – 2.3 = 6.8. The correct equation is 2.3s = 6.8.
Answer:
→ Distance run by dean = 6.8 km .
also,
→ Distance run by dean = 2.3 fewer kilometers than Sam.
Let us assume that, distance run by same is s km .
so,
→ Distance run by dean = s - 2.3
therefore,
→ s - 2.3 = 6.8
→ s = 6.8 + 2.3
→ s = 9.1 km .
Hence, The correct equation is s – 2.3 = 6.8
Step-by-step explanation:
Answer:
A and E please brainly
Step-by-step explanation:
Solve Calculate the product: 2/9 × 63. A. 7 B. 14 C. 18 D. 45
Answer:
14
Step-by-step explanation:
You can solve it like this:
63x2=126
126/9=14
What is the volume of this container? ?
2 ft2
2 ft
2 ft²
I ft
4 ft²
I ft
4 ft3
Answer:
2ft^3
Step-by-step explanation:
Volume= L× W× H
[tex]volume = 1 \times 1 \times 2[/tex]
[tex]volume = 2ft^{3} [/tex]
~
5 used books for 9.95
Answer:your mom
Step-by-step explanation:
What number is 9 times as much as 400 ? A 391 B 409 C 3,600 D 3,609
Answer:
C.3600
...............
The number which is 9 times as much as the number 400 is number 3600. The option C is the correct option.
What is n times of a number?The meaning of n times of a number is that, how many times a number n is required to bring the result as the other number.
The number which is 9 times as much as 400 has to be found out. Let suppose this number is n.
To find the value of n, we have to multiply the number 400 with the number 9. Thus,
[tex]n=400\times 9\\n=3600[/tex]
The value of n is 3600.
Thus, the number which is 9 times as much as the number 400 is number 3600. The option C is the correct option.
Learn more about the multiplication of two number here;
https://brainly.com/question/18248493
here a subtraction problem that has been solved incorrectly for 44-16=28 choose the addition sentence that check this subtraction problem the choices are 28+16=32 28+44=72 28+16=44 which one is correct
Answer:
Answer:
28+16=44
Step-by-step explanation:
point of correction it has been solved correctly
when subtracting 44 - 16 it gives you 28
=> 44 - 16
=> 28
SO IN ORDER TO CHECK IF THE PROBLEM WAS SOLVE CORRECTLY
you will minus 28 from one of the numbers before the equal sign
the correct option is 28 + 16 equals to 44
=> 28+16=44
Answer:
28 + 16 = 44
Step-by-step explanation:
basically it is like isolating the biggest number (44) by bringing 16 to the right side of the equation. from 44 - 16 = 28 to 44 = 28 + 16 which is the same as 28 + 16 = 44
Samantha has a shelf that is 95 over 4 inches wide. How many books can Samantha arrange on the shelf if each book is 5 over 4 inches thick? Work it out.
Answer:
19 books
Step-by-step explanation:
95/4÷5/4=19bks