Answer: f(x) = 1^(x + 1)
Step-by-step explanation:
we have that h(x) = 1^x
and h(x) = f(g(x))
This mean that we are evaluating the function f(y) in the point y = g(x)
where g(x) = x - 1
then:
f(g(x) = f(x - 1) = h(x) = 1^x
then we should have that:
f(x) = 1^(x + 1)
then:
f(x - 1) = 1^(x - 1 + 1) = 1^x
A furnace operates at 2,300°F. Before it can be used to extract metal from an ore, the temperature must be raised to 3,600°F. This takes place at a rate of 250°F per quarter-hour. Identify the slope and y-intercept in an equation for the temperature in terms of x quarter hours.
Enter your answer using the equation y=mx+b
Answer: google will help
Step-by-step explanation:
What is the mean of the given data set. 39,82,74,96,64,52,74
Hey there!
Another word for the mean is the average. To find the mean in a set of numbers, you add up the numbers and then divide by the number of numbers!
39+82+74+96+64+52+74=481
Now, we see that we have seven numbers. So, we divide by seven!
481/7≈68.71 (rounded to nearest hundredth)
I hope that this helps!
There are 19 people on a basketball team, and the coach needs to choose 5 to put into
a game. How many different possible ways can the coach choose a team of 5 if each
person has an equal chance of being selected?
Answer:
197676 diff possible ways
Step-by-step explanation:
Combination because order doesn't matter.
19!/(19-5)!*5!=19!/14!*5!=19*18*17*16*15*14!/14!*5!=19*18*17*17*16*15/5!=23721120/5*4*3*2=23721120/120=197676
What’s the answer to this
Answer B
Step-by-step explanation:
2x+1+14
Answer:
B.)
Step-by-step explanation:
B)2x+15
Find the volume of a right circular cone that has a height of 10.5 in and a base with a circumference of 7.1 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
14 cubic inches
Step-by-step explanation:
First, we have to find the radius from the circumference. We know that the circumference can be found using the equation c = 2pi(r). Set c equal to 7.1, and solve for r by dividing by 2pi.
Now, we have a radius of 1.13. Using this, we can plug the radius and the height into the equation used to find the volume of a cone: v = pi(r^2)(h/3)
This leads us to 14.04, or 14, when rounded to the nearest tenth of a cubic inch.
NEED HELP ASAP ON TIMER 30 MINUTES LEFT
find the least common multiple (lcm) of:
25y^5 and 5xy and 2x^3y
Answer:
50 x^3 y^2
Step-by-step explanation:
25y^5 = 5*5 * y*y
5xy = 5*x*y
2x^3y = 2*x*x*x*y
The least common multiply is found by taking the least number of times each appears
5 appears 2 times
2 appears 1 time
x appears 3 times
y appears 2 times
5*5*2 * x*x*x * y*y
50 x^3 y^2
Answer:
50 x^3 y^2
Step-by-step explanation:
25y^5 = 5*5 * y*y
5xy = 5*x*y
2x^3y = 2*x*x*x*y
The least common multiply is found by taking the least number of times each appears
5 appears 2 times
2 appears 1 time
x appears 3 times
y appears 2 times
5*5*2 * x*x*x * y*y
50 x^3 y^2
How is the surface area of any prism determined?
Answer:
In order to find the surface area, you will need to add up the areas of each face of the prism. ... In this prism, the length is also the side of the hexagon, and the width of the rectangle is the height of the prism. Now, multiply the area of the rectangle by to find the total area of all of the sides of the prism.
Step-by-step explanation:
Plot - 7 in the complex plane.
Answer:
see below
Step-by-step explanation:
-7 = -7 + 0i
On a plane mark -7 on real axis and go 0 units on imaginary axis
Enrollment in a dance studio has grown exponentially since the studio opened. A graph depicting this growth is shown. Determine the percentage rate of growth.
0.25%
1.25%
2.5%
25%
Answer:
Option (4). 25%
Step-by-step explanation:
The graph attached shows the exponential growth.
Let the graphed function is y = [tex](1+\frac{r}{100})^{t}[/tex]
Here 'r' = Rate of growth
t = Duration of time in years
y = enrollments after time 't' years
Graph shows at time 't' = 0 or initially number of enrollments = 20
After 8 years number of enrollments will be
120 = [tex]20(1+\frac{r}{100})^{8}[/tex]
[tex]\frac{120}{20}=(1+\frac{r}{100})^{8}[/tex]
6 = [tex](1+\frac{r}{100})^{8}[/tex]
log 6 = [tex]8\text{log}(1+\frac{r}{100})[/tex]
0.77815 = [tex]8\text{log}(1+\frac{r}{100})[/tex]
[tex]\text{log}(1+\frac{r}{100})[/tex] = 0.0972689
[tex](1+\frac{r}{100})=1.251[/tex]
[tex]\frac{r}{100}=0.251[/tex]
r = 25.1%
r ≈ 25%
Therefore, Option (4) will be the answer.
Answer:
25%
Step-by-step explanation:
did test and it was right
A bag of sweets contains coca cola bottles , milk bottles and jellybeans at a ratio of 3:7:5 there are 6 coca cola bottles how many milk bottles are there how many jelly beans are there
Answer:
Coca cola bottles = 6
Milk bottles = 14
Jellybeans = 10
Step-by-step explanation:
We are given that a bag of sweets contains coca cola bottles, milk bottles and jellybeans.
The ratio of these sweet bottles is given as,
3:7:5
It is known that there are 6 coca cola bottles.
We are asked to find the quantity of milk bottles and jellybeans.
Coca cola bottles:
Since the ration is 3:7:5
3 parts of coca cola bottle = 6
1 part of coca cola bottle = 6/3 = 2
Milk bottles:
So 7 parts of milk bottle = 7*2 = 14
Jellybeans:
So 5 parts of milk bottle = 5*2 = 10
Therefore,
Coca cola bottles = 6
Milk bottles = 14
Jellybeans = 10
Verification:
6:14:10
Simply the ratio by dividing it with 2
3:7:5
Which reduces to the given ratio hence results are correct.
f(x) = (x+2)^2+4 . what are the coordinates of the vertex?
Answer:
[tex](-2,\, 4)[/tex].
Step-by-step explanation:
To find the vertex of this parabola, start by rewriting it in the vertex form [tex]f(x) = a\, (x - h)^2 + k[/tex].
Start with the original expression:
[tex]f(x) = (x + 2)^2 + 4[/tex].
Note that in the vertex form, the sign in front of [tex]h[/tex] should be a minus. However, in [tex]f(x) = (x + 2)^2 + 4[/tex], the sign in front of [tex]2[/tex] is a plus. Since adding
[tex]f(x) = (x - (-2))^2 + 4[/tex].
Therefore:
[tex]h = -2[/tex],[tex]k = 4[/tex].Hence, [tex](-2,\, 4)[/tex] is the vertex of this parabola.
what is the series written in sigma notation?
Answer:
Correct option: D
Step-by-step explanation:
First we need to find the rate of the series, and we can do that subtracting one term by the term before:
Second term minus first: 13/10 - 1/2 = 13/10 - 5/10 = 8/10 = 4/5
Third term minus second: 21/10 - 13/10 = 8/10 = 4/5
So the series increases by 4/5 for every term, and the first term is 1/2
We also need to find the number of terms of this series.
The last term is 93/10, so we have that:
1/2 + (4/5)*k = 93/10
(4/5)k = 88/10
k = 11
The index of the summatory should go from 0 to 11.
So the correct option is D
solve for x 6000=-2x^2+20x-42
Answer:
3 or 7
Step-by-step explanation:
[tex]-2x^2+20x-42=0\\-2(x^2-10x+21)=0\\-2(x-7)(x-3)=0\\x=7, 3[/tex]
Hope this helps!
Can somebody solve this...
Answer:
J-12-16KL(-12, -16)MOSorry. I cannot really the points and graphs clearly.
I hope I helped you! If my answer is correct, please mark me brainiest. Thanks!
which expression is equivalent to 100n2-1
Answer:
10 x 10n^2 -1
Step-by-step explanation:
any expression as long as they equal the same as your equation (100n^2-1)
Answer:
(10n + 1)(10n - 1)
Step-by-step explanation:
-3/4j+1/5=3/6
Can someone help me find j
Answer:
j= -0.4
Step-by-step explanation:
multiply both sides by 60
=45j(+12)=30-12
take the 12 ti the right hand side and the sign changes
= -45j=18 then divide by 45 on both sides
j= -2/5
j= -0.4
4 + d = -12
I need work and answer
WILL GIVE BRAINLIEST
Answer:
d= -16
Step-by-step explanation:
-16 +4=-12
Answer:
d=−16
Step-by-step explanation:
d+4−4=−12−4
d=−16
The base of a right triangle is 13 less than 2 times the height. The area of the triangle is 12 square cm. What is the height of the triangle in cm? *
Answer:
The height of the triangle is 8 cm
Step-by-step explanation:
First we need to write down the question in a mathematical format and then solve.
let b be the base of the triangle and h be the height of the triangle
"The base of a right triangle is 13 less than 2 times the height" can be written as
b = 2h - 13 -----------------------------------------------------(1)
"The area of the triangle is 12 square cm" can be written as;
area of the triangle = 12 cm²
but area of a triangle = [tex]\frac{1}{2}[/tex] ×b × h
This implies that
[tex]\frac{1}{2}[/tex] ×b × h = 12 cm²
bh = 24 cm² --------------------------------------------------(2)
substitute equation (1) in equation (2)
(2h - 13)h = 24
2h² - 13h = 24
2h² - 13h - 24 = 0 ----------------------------------------------(3)
The above is now a quadratic equation, so we will solve by completing the square method.
Find two numbers such that its product will give -48 and its sum will give -13
The two numbers are -16 and 3
Replace -13h by (-16h + 3h) in equation (3)
2h² - 13h - 24 = 0
2h² - 16h + 3h - 24 = 0
2h(h - 8) + 3(h-8) = 0
(h-8)(2h+3) = 0
either h-8 = 0
h = 8
OR
2h + 3 = 0
2h = -3
h =-3/8
There is no such thing as negative length, therefore h= 8 is the answer
The height of the triangle is 8 cm
A bag of marbles contains 8 yellow marbles, 6 blue marbles, 4 red marbles, and 2 green marbles. Two marbles are chosen at random, WITHOUT replacement. What is the probability a red marble is chosen and then a blue marble?
Answer:
6/95
Step-by-step explanation:
First, let's find the total # of outcomes. There are 8+6+4+2 = 20 marbles in the bag. We have 20 options for the first draw, and 19 for the second. 20*19 = 380 total possible outcomes.
Now, let's fin the successful outcomes. There are 4 red and 6 blue marbles, so 4 for the firs tpick and 6 for the second pick. 4*6 = 24 successful outcomes. To find probability, we do successful outcomes/total outcomes, and in this case, that is 24/380, or 6/95. Hope that helps!
Answer:
Step-by-step explanation:I don't say you have to mark my ans as brainliest but my friend if it has really helped you plz don't forget to thank me...
What is the result of adding these two equations?
-2x + 7y = -5
-2.0 - 4y = 6
Answer:
[tex]y=-\frac{6x}{5}[/tex]
Step-by-step explanation:
[tex]-2x + 7y = -5\\-2.0 - 4y = 6[/tex]
[tex]y=-\frac{6x}{5}[/tex]
6/7 times 3/4=?????????
Answer:
[tex] \frac{9}{14} [/tex]
Step-by-step explanation:
times top numbers and bottom numbers
6 × 3 = 18
7 × 4 = 28
18/28
*simplify*
9/14
2 triangular prisms and a cube. The cube is 2 by 2. The triangular prisms have rectangular sides of 3 by 5, 3 by 3, and 3 by 4. The triangular sides have a base of 3 and height of 4.
To find the surface area of the figure shown, Mia found the surface area of the two triangular prisms and the rectangular prism. From this, Mia subtracted 6 ft2. Did Mia make an error?
Mia should have subtracted 16 square feet.
Mia needs to subtract another 6 square feet.
Mia must calculate each triangle separately.
There is no error—Mia is correct.
Answer:B. Mia needs to subtract another 6 square feet.
Step-by-step explanation:
Answer:
yeah the dude above me is right
Step-by-step explanation:
b r u h moment compilation #27
The data set represents the prices for a full tank of gasoline for different motorcycles:
$19, $18, $15, $17, $19, $12, $19 and $15
What is the range of prices?
a
$7.00
b
$17.50
c
$16.75
d
$19.00
Answer:
The answer would be A. $7.00!
Step-by-step explanation:
To find range subtract the lowest amount from the highest, the difference will be your answer.
Which property is illustrated?
15 + (5 + 7) = (15 + 5) + 7
distributive property
identity property of addition
commutative property of addition
associative property of addition
Answer:
distributive property
Answer:
associative property
Step-by-step explanation:
The associative property states that you can reorder or regroup numbers and still get the same answer. In this example, we are regrouping the numbers (parenthesis around different numbers)
Which are the solutions of x2 = –13x – 4?
dont gime bs just answer it
85 points btw
Step-by-step explanation:
Step 1: Add 13x to both sides
[tex]x^2 + 13x = -13x + 13x - 4[/tex]
[tex]x^2 + 13x = -4[/tex]
Step 2: Add 4 to both sides
[tex]x^2 + 13x + 4 = -4 + 4[/tex]
[tex]x^2 + 13x + 4[/tex]
Step 3: Use Quadratic Formula
[tex]x = \frac{ -b \pm \sqrt{ b^2 - 4ac } }{2a}[/tex]
[tex]x = \frac{ -(13) \pm \sqrt{ 13^2 - 4(1)(4)} } { 2(1)}[/tex]
[tex]x = \frac{-13 \pm \sqrt{153}}{2}[/tex]
[tex]x = \frac{-13\pm3\sqrt{17} }{2}[/tex]
Answer: [tex]x = \frac{-13\pm3\sqrt{17} }{2}[/tex]
Answer:
-0.3 and - 12.7
Step-by-step explanation:
Rewrite in quadratic form:
x2 + 13x + 4 = 0
The best approximations, given the options, are 0 and - 13
The actual solution is -
Select the correct answer.
If a six-sided die is rolled 30 times, how many times can you expect to get a 6?
Answer:
5
Step-by-step explanation:
the probability of getting a 6 every time you roll the die once is just 1/6. multiply that by 30 and we get our answer, which is 5 times.
If you roll two fair six-sided dice, what is the probability that the dice show the same number
Answer:
6/36
Step-by-step explanation:
Trust me I got it right on Khan academy :)
Answer:
6/36
Step-by-step explanation:
I got it right too on khan academy
f(x) = 3^x; find f(0)
Answer:
f(0)=1
Step-by-step explanation:
The question asks us to find f(0). We want to find what f(x), or y is, when x is equal to 0.
f(x)=3^x
Therefore, we can substitute 0 in for x.
f(0)=3^0
Evaluate the exponent, 3^0.
Any number raised to the power of zero is equal to 1.
f(0)=1
Answer:
1
Step-by-step explanation:
f(0) = 3^0
f(0) = 1
anything to the 0th power = 1
f (x) = 3x^2 - 7x - 32
What is the value of f(-4)?
Answer:
f (-4) = 3x(-4)^2 - 7x(-4) - 32 = 44
Step-by-step explanation:
you should replace every x with the number given which is here equals -4
if the vertex of a parabola is (0, 3), what is the axis of symmetry
Answer:
The equation of the axis of symmetry for this parabola is x = 0.
Step-by-step explanation:
For parabola's, it's axis of symmetry always goes through the vertex of the parabola. In other words, the axis of symmetry is vertical line that goes through the x-coordinate of the vertex.
Now, the vertex is given as (0,3) which is at x = 0, y = 3.
Thus, the vertical line that goes through the x-coordinate of the vertex will be x = 0
Thus, the equation of the axis of symmetry for this parabola is x = 0.