Answer:
[tex]f(10)= 236196[/tex]
Step-by-step explanation:
Given
[tex](x,y) = (0,4)[/tex] --- y intercept
[tex]b = 3[/tex] --- growth factor
Required
[tex]f(10)[/tex]
An exponential function is represented as:
[tex]y = ab^x[/tex]
[tex](x,y) = (0,4)[/tex] means
[tex]4=a * b^0[/tex]
[tex]4=a *1[/tex]
[tex]a= 4[/tex]
So, we have:
[tex]y = ab^x[/tex]
[tex]y = 4(3)^x[/tex]
or
[tex]f(x)= 4(3)^x[/tex]
When x is 10, the value of the function is:
[tex]f(x)= 4(3)^x[/tex]
[tex]f(10)= 4(3)^{10[/tex]
[tex]f(10)= 236196[/tex]
kevin ran 6/7 miles and his brother james ran 10 miles. How many miles did the two of them ran.
Answer:
16.7 miles
Step-by-step explanation:
6.7+10=16.7
The two of them ran 16.7 miles.
find the measure of the complementary angles that satisfy each case. the measure of the first angle is 30 greater than the measure of the second angle
Answer:
Step-by-step explanation:
Let the first angle = x
Let the second angle = y
They are complementary so
x + y = 90
x = y + 30
Substitute for x
y + 30 + y = 90
2y + 30 = 90 Subtract 30 from each side
2y = 90 - 30
2y = 60 Divide by 2
2y/2 = 60/2
y = 30
x = y + 30
x = 30 + 30
x = 60
Help meeeeeeeeeeeeeeee
Answer:
I'm pretty sure it's D becuase you can't have a power be a fraction
Step-by-step explanation:
please help me i dont understand
Answer:
x = 25
Step-by-step explanation:
Angle 1 = 2x + 10
Angle 2 = 4x + 20
These two angles are going to add up to 180 because 180 is a straight line so we get the equation:
2x + 10 + 4x + 20 = 180
6x + 10 + 20 = 180
6x + 30 = 180
6x = 150
x = 25
I could use some help here
Answer:
3x^3 + 6x^2
Step-by-step explanation:
2x^2 + 3x^3 + 4x^2
Combine like terms
3x^3 + (2x^2+4x^2)
3x^3 + 6x^2
Answer:
b. 6 x² + 4 x³
Step-by-step explanation:
2x ² + 3x³ + 4x²
Combine like terms, we get
2 x² + 4 x² + 3 x³
6 x² + 3 x³
option a and b both are similar.
25 points do entire slide, as shown in image.
Answer:
A=90, B=86.896551724,C=90/29
Step-by-step explanation:
B+C=90
(x28)+x=90
x=90/ 29
((90/29)28)=B
A=90° because there is the symbol indicating a right angle
How many teams haven't apperared in a super bowl
A. 2
B. 5
C.4
D. None
Answer:
c. 4
Step-by-step explanation:
I'm correct if I'm rwong
A test is worth 30 points. Multiple-choice questions are worth 7 point and
short-answer questions are worth 2 points. If the test has 20 questions, how
many multiple-choice questions are there?
Answer:cvg
Step-by-step explanation:
HELP‼️‼️‼️‼️‼️‼️‼️‼️
Answer:
a. x^(5/6) + 2x^(7/3)
Step-by-step explanation:
____
Click on the following figure to show the Rn Rm.
Answer:
there is no figure sorry
what is the binary 101*11
Answer:
Answer Of this question is 1000
two solutions of x(18 – x) = 2(9x – 32).
Answer:
x = -8
x = 8
Step-by-step explanation:
x(18 – x) = 2(9x – 32)
distribute
18x - x² = 18x - 64
Subtract 18x from both sides
-x² = -64
multiply both sides by -1
x² = 64
Take the square root of both sides
x = ± 8
x = -8
x = 8
How many different committees can be formed from 12 teachers and 43 students if the committee consists of 3 teachers and 4 students?
The committee of 7 members can be selected in BLANK
different ways.
Answer:
[tex] \displaystyle 27150200[/tex]
Step-by-step explanation:
we are two conditions
committees can be formed from 12 teachers and 43 studentsthe committee consists of 3 teachers and 4 studentsIn choosing a committee, order doesn't matter; in case of teachers we need the number of combinations of 3 people chosen from 12
remember that,
[tex] \displaystyle\binom{n}{r} = \frac{n!}{r!(n - r)!} [/tex]
with the condition we obtain that,
[tex]n = 12[/tex][tex]r = 3[/tex]therefore substitute:
[tex] \displaystyle\binom{12}{3} = \frac{12!}{3!(12 - 3)!} [/tex]
simplify Parentheses:
[tex] \displaystyle\binom{12}{3} = \frac{12!}{3! \cdot9!} [/tex]
rewrite:
[tex] \rm \displaystyle\binom{12}{3} = \frac{12 \times 11 \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{(1 \times 2 \times 3 )\cdot1 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7 \times 8 \times 9} [/tex]
reduce fraction:
[tex] \rm \displaystyle\binom{12}{3} = \frac{12 \times 11 \times 10}{1 \times 2 \times 3 } [/tex]
rewrite 12 and 10:
[tex] \rm \displaystyle\binom{12}{3} = \frac{3 \times 2 \times 2 \times 11 \times 10}{1 \times 2 \times 3 } [/tex]
reduce fraction:
[tex] \rm \displaystyle\binom{12}{3} = 2 \times 11 \times 10[/tex]
simplify multiplication:
[tex] \rm \displaystyle\binom{12}{3} = 220[/tex]
In case of students we need the number of combinations of 4 students choosen from 43 therefore,
[tex] \displaystyle\binom{43}{4} = \frac{43!}{4!(43 - 4)!} [/tex]
simplify which yields:
[tex] \displaystyle\binom{43}{4} = 123410[/tex]
hence,
The committee of 7 members can be selected in BLANK different ways is
[tex] \displaystyle 123410 \times 220[/tex]
[tex] \displaystyle \boxed{27150200}[/tex]
and we're done!
Please help I will give brainlest
Step-by-step explanation:
D. 321 square feet
26-15= 11
6*11= 66ft²
15*17= 255ft²
255+66= 321ft²
Area= 321ft²
Might be wrong but hope it helped!
#1
{(3, 7), (2, 4), (-1, 7), (0, 2)}
The domain is...
The range is....
- 3/10h = 15 what does h =
Answer:
h = -50
Step-by-step explanation:
- 3/10h = 15
Multiply each side by -10/3 to isolate h
-10/3 * - 3/10h = 15 * -10/3
h = -150/3
h = -50
Answer:
h = -50
Step-by-step explanation:
label this graph as “linear” or “non linear”
This answer is Nonlinear
The sides of a triangle are x cm, (x -1) cm and (x+2) cm. IF the perimeter is 31 cm, then the SHORTEST side is
Answer:
9 cm
Step-by-step explanation:
Applying,
P = a+b+c................. Equation 1
Where P = Perimeter of the triangle, a, b,c are the three sides of the triangle respectively.
From the question,
Given: P = 31 cm, a = x cm, b = (x-1) cm, c = (x+2) cm
Substitute these values into equation 1, and solve for x
31 = x+(x-1)+(x+2)
31 = 3x+1
3x+1 = 31
3x = 31-1
3x = 30
divide both side by 3 to get x
3x/3 = 30/3
x = 10.
Therefore, the sides of the triangle are
a = x = 10 cm,
b = (x-1) = (10-1) = 9 cm
c = (x+2) = (10+2) cm = 12 cm
Hence the shortest side is 9 cm
What is the area of the trapezoid shown below?
6 cm
13 cm
13 cm
+ 12 cm
16 cm
Answer:16cm
Step-by-step explanation:
Write an equation in slope-intercept form of
the line that passes through (-6,4) and
(-1,2).
factorise: x³ + 4x
(with explaining the steps)
Answer:
x( x^2+4)
Step-by-step explanation:
factor out x from the expression
xx (x^2+4)
than your answer is x( x^2+4)
Answer:
[tex] x(x + 2)(x + 2)[/tex]
Step-by-step explanation:
as the x is the common factor...get x out
[tex] {x}^{3} + 4x[/tex]
[tex]x( {x}^{2} + 4)[/tex]
Then
[tex]x( {x}^{2} + 4) \\ x( {x}^{2} + {2}^{2} ) \\ x(x + 2)(x + 2)[/tex]
Hope this helps you
The quotient of a number and - 2/3 is -9/10
What is the number?
1 7/20
3/5
29/30
20/27
Answer:
n = 3/5
Step-by-step explanation:
Represent this quotient as:
n
---------
-2/3
and set it equal to -9/10:
n -9
--------- = -------
-2/3 10
Cross multiplication yields:
10n = 6, so that n = 6/10 or n = 3/5
Find the slope from the two points given: (2, 1) and (3,-10)
Answer:
-11
Step-by-step explanation:
let (2,1)be x1 and y1 respectively
(3,-10) be x2 and y2 respectively
From,slope= (y2-y1)/(x2-x1)
=(-10-1)/(3-2)
= -11/1
= -11
h(x)=x^3 -4x g(x)=x+2 find (h/g) (x)
Answer:
(h/g)(x) = x² - 2x
Step-by-step explanation:
h(x) = x³ - 4x
g(x) = x + 2
(h/g)(x) = h(x)/g(x) = (x³ - 4x) / (x + 2) = x² - 2x
The measure of 1 in the diagram below is 113º.
What is the measure of <4?
Write an equation for this graph
Answer:
y = -x - 2
Step-by-step explanation:
The slope is -1 and the y-intercept is (0, -2).
PLEASE HELP! Which of the following points are in the second quadrant of the xy-plane? Check all that apply.
A. (-7,6)
B. (-2,-8)
C. (6,-2)
D. (-4,2)
E. (2, 2)
F. (4,8)
Answer:
a and d i think bc they are negative-positive
How do I do this? (Will give Brainliest) (Instructions if you could please)
Answer:
C
Step-by-step explanation:
A 6-foot diameter circle is divided
into six congruent sectors. What
is the area of each sector in square
inches? (Use 3.14 for 2.)
Answer:
the area is 1235
Step-by-step explanation:
Answer:
2714.33 sq in
explanation-
since circle is divided into 6 congruent sectors, area of each sector is 1/6th of area of circle.[tex]ar \: of \: sector \: = ar \: of \: circle \: \div 6 \\ = \pi \times 72 \times 72 \div 6 \\ = 2714.33[/tex]Will give brainliest and 15 points
Statistics & Data
For this data set, there is an outlier. The outlier is four.
This is representing a small number of assignments required in math class that month.
This means that the correct answer is B.
Answer:
B
Step-by-step explanation:
The answer should be B or the second choice because the number 4 is unusually low compared to the rest of homework assignments given in the other math classes for that month. I made a graph to show how the number 4 is not near the number of homework assignments given in the other math classes.
If you think I missed something or made a mistake, please let me know.