Answer:
exponential. not linear functions because they change by equal differences not intervals.
The table below models a exponential function. Find f(8)
Answer:
Step-by-step explanation:
f(x) = 65536(b)^x
Find b by substituting a point. (1, 16384)
16384 = 65536(b)^1
b=0.25
Thus,
f(x) = 65536(1/4)^x
Plug in 6,
f(8) = 1
Find the measure of
Answer:
the measure of what?????
Which exponential functions have been simplified correctly? Check all that apply.
f(x) = 53/16* = 5(23/2)*
F(x) = 2.310 Ž* = 2.3(43*
F(x)=81-34
OfW) = 27' = (3/3)*
Orx)=(24) ** = 2(13)
Answer:
A, C, and D are the exponential functions that have been simplified correctly
Which parametric equations represent (x + 1)2 + (y – 3)2 = 16
PLEASE HELP WILL GIVE BRAINLIEST
x = 8cos(t) – 1 and y = 8sin(t) + 3
x = –cos(t) + 8 and y = 3sin(t) + 8
x = 4cos(t) – 1 and y = 4sin(t) + 3
x = –cos(t) + 4 and y = 3sin(t) + 4
Answer:
x = 4cos(t) – 1 and y = 4sin(t) + 3
Step-by-step explanation:
Equation of a circle:
The equation of a circle has the following format:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In which:
The centre is is [tex](x_0,y_0)[/tex] and r is the radius. The parametric equations are given by:
[tex]x(t) = r\cos{(t)} + x_0[/tex]
[tex]y(t) = r\sin{(t)} + y_0[/tex]
In this question:
[tex](x + 1)^2 + (y - 3)^2 = 4^2[/tex]
This means that the centre is [tex](-1,3)[/tex] and the radius is 4. So, the answer is:
x = 4cos(t) – 1 and y = 4sin(t) + 3
According to Maryland Motor Vehicle Administration [MVA] data, Gary Turgeon, a clerk at the Beltsville, Maryland, MVA location, assists six customers per hour, on average.
a. Determine the probability the amount of time Gary takes to assist the next customer is less than 12 minutes.
b. Determine the probability the amount of time Gary takes to assist the next customer exceeds 20 minutes.
c. Determine the probability the amount of time Gary takes to assist the next customer is between 8 and 15 minutes (in the interval 8 to 15 minutes)
d. Determine the probability the amount of time Gary takes to assist the next customer is either less than 14 minutes or greater than 22 minutes.
Step-by-step explanation:
6 customers per hour [tex]=1[tex] customer per 10 minutes
[tex]X \sim \operatorname{Exp}(\beta=10) \quad[/tex] (given mean)
Pdf is given by: [tex]f(x)=\frac{1}{\beta} e^{-x / \beta}, 0<x[/tex]
Pdf: [tex]f(x)=\frac{1}{10} e^{-x / 10}, \quad 0<x,[tex] and zero otherwise.
Cdf: [tex]P(X \leq x)=1-e^{-x / \beta}[/tex]
[tex]P(X \leq x)=1-e^{(-x / 10)} \quad[/tex] for [tex]x>0 \Longrightarrow P(X>x)=e^{-x / 10}[/tex]
a)[tex] \begin{array}{c}
P(X<12)=1-\exp (-12 / \beta)=1-e^{-1.2}=1-0.301194=0.698806 \approx 0.699 \\
P(X<12)=0.699 \end{array}[/tex]
[tex]\begin{aligned}
&\begin{array}{c}
P(X>20)=\exp (-20 / \beta)=e^{-2} \approx 0.135335 \approx 0.1353 \\
P(X>20)=0.1353
\end{array}\\[/tex]
&\text { c) }\\
&P(8<X<15)\\
&\begin{array}{l}
=P(X<15)-P(X<8) \\
=(1-\exp (-15 / \beta))-(1-\exp (-8 / \beta)) \\
=\exp (-8 / \beta)-\exp (-15 / \beta) \\
=e^{-0.8}-e^{-1.5} \\
=0.449329-0.22313 \approx 0.226199 \approx 0.2262 \\
\quad P(8<X<15)=0.2262
\end{array}
\end{aligned}
\begin{aligned}
&\text { d) }\\
&\begin{array}{l}
P(14<X<22) \\
=P(X<22)-P(X<14) \\
=(1-\exp (-22 / \beta))-(1-\exp (-14 / \beta)) \\
=\exp (-14 / \beta)-\exp (-22 / \beta) \\
=e^{-1.4}-e^{-2.2} \\
=0.246597-0.110803 \approx 0.135794 \approx 0.1358 \\
P(X<14 \cup X>22)=1-P(14<X<22)=1-0.1358=0.8642 \\
P(X<14 \cup X>22)=0.8642
\end{array}
\end{aligned}
if x² =61base 8 find x
Answer:
x = + 7 or -7
Step-by-step explanation:
61 base 8 = 6*8+1 base 10 = 49
x^2=49
x = + 7 or - 7 base 10
x = + 7 or -7 base 8
State the domain and range of the relation given in the table below, and determine if it is a function,
х 16 -8 4 1 -8 7
y 8 -6 -14 -9 7 24
Domain: {
Range:{
Is the relation a function?
O No
OYes
Seven days ago, the gas tank on Rosa's car was filled with 20 gallons of gasoline. Today there are 6 gallons of gasoline. a. What integer represents the change of gasoline in the past seven days? b. What is the mean change in gasoline in gallons per day? c. What is the fuel efficiency, in miles per gallon, of Rosa's car if she drove 490 miles in the past seven days?
Answer:
Answer: -14 gallons. Given : Seven days ago, the gas tank on Roses car was filled with 20 gallons of gasoline. Today there are 6 gallons of gasoline. ∵ 20> 6 , it means there is decrease in the amount gasoline.
Step-by-step explanation:
Your welcome :)
Which statements about the values 0.034 and 3.40 are true?
Answer:
Hope this helps! If I can have brainliest I'm trying to rank up.
Step-by-step explanation:
3.4 is 100 times more than 0.034.
0.034 is 1/100 of 3.4.
We look at the statements about the values of 0.034 and 3.40 are true.
0.034 times 100 = 3.4 , When we multiply by 100 we move the decimal point two units to the right .
So, 3.4 is 100 times more than 0.034.
3.4 times 1/100 = 0.034 , When we divide by 100 we move the decimal point two units to the left .
So, 0.034 is 1/100 of 3.4
Question 3
Name the transformations of the next equation y
Answer:
1غىخةضهاثضخ
Step-by-step explanation:
ى7غ-3ص0ض49ة=
21. Which is the correct answer
Note: (if you give me a silly or absurd answer I will report you)
Answer:
Step-by-step explanation:
Jajajjajajjaajajajajajja
Which is the factorization of 8x2 + 13x - 6?
G C
A
(8x - 3)(x + 2)
(x-6)(8x + 1)
(2x - 2)(4x + 3)
(4x - 1)(2x + 6)
Answer:
(8x - 3)(x + 2)
Step-by-step explanation:
A factorization must have a result equals to the original expression.
In this question:
For each option, we test to see if the result is equal, applying the distributive property and then combining like terms.
(8x - 3)(x + 2)
8x² + 16x - 3x - 6 = 8x² + 13 - 6
Equal, so this is the factorization.
(x-6)(8x + 1)
8x² + x - 48x - 6 = 8x² - 47x - 6
Different
(2x - 2)(4x + 3)
8x² + 6x - 8x - 6 = 8x² - 2x - 6
Different
(4x - 1)(2x + 6)
8x² + 24x - 2x - 6 = 8x² + 22x - 6
Different
Factorizing the algebraic expression, 8x² + 13x - 6, we would have: (8x−3)(x+2).
What is Factorization?Factorization simply means to write an algebraic expression as products of two factors.
Given the algebraic expression:
8x² + 13x - 6
Factorize as follows:
8x² + 16x - 3x - 6
(8x² + 16x) - (3x - 6)
8x(x + 2) -3(x + 2)
(8x−3)(x+2)
Therefore, factorizing the algebraic expression, 8x² + 13x - 6, we would have: (8x−3)(x+2).
Learn more about factorization on:
https://brainly.com/question/25829061
what is the equation of a circle with a radius of 7 and centered at point (3,-4)
Answer:
(x - 3)² + (y + 4)² = 49
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + *y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (3, - 4) and r = 7 , then
(x - 3)² + (y - (- 4) )² = 7² , that is
(x - 3)² + (y + 4)² = 49 ← equation of circle
In how many ways can you place the three kangaroos in three different cells, out of the seven cells below, so that no two kangaroos are neighbors?
Answer:
we need a picture to answer the question correctly
Step-by-step explanation:
What is 10/12 - 4/12?
the answer is 1/2.
if you simplify 3/6 you can find the solution.
Answer:
1/2
Step-by-step explanation:
the fractions have like denominators, so subtract the numerators
10-4/12 = 6/12
simplify
6/12 = 1/2
Please I will give brainiest
Answer:
Step-by-step explanation:
x is the supplement of 133
x + 133 = 180
x + 133 - 133 = 180 - 133
x = 47
Write result in standard notation
Answer:
7.5 * 10 ^- 4
Step-by-step explanation:
What is the height of cylinder pictured below?
144
12
8
54
Answer:
B. 12 in.
Step-by-step explanation:
Diameter = 5 in.
Diagonal = 13 in.
Apply Pythagorean theorem to find the height of the cylinder.
Thus:
13² - 5² = height²
144 = height²
√144 = height
12 in. = height
Answer:
B. 12 in.
Step-by-step explanation:
You spent $2000 on new furniture. The local furniture store allows you to make a down payment of $400 and then pay the remaining balance in four equal monthly payments. How much are the monthly payments?
Answer:
100$
Step-by-step explanation:
400/4 = 100
HOPE THIS HELPS
Plzz mark brainliest
If spent $2000 on new furniture. The local furniture store allows you to make a down payment of $400 and then pay the remaining balance in four equal monthly payments. Then $400 is the monthly payments
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Spent $2000 on new furniture.
The local furniture store allows you to make a down payment of $400 and then pay the remaining balance in four equal monthly payments
The remaining balance can be calculated
$2000-$400=$1600
Now $1600 is to be paid in four months
Divide $1600 by 4 as we have to pay it in 4 months
1600/4
400 per month.
Hence $400 is the monthly payment.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
Find the area of the shape
Answer:
I think the answer is 672 please be right
Please help!!!
Can someone find out what a, b, c, and d is??
Answer:
a=64
b=112
c=78
d=88
Step-by-step explanation:
hope this helps have a nice day !!!
what is the answer to this? x+2x+5
Answer:
3x+5
Step-by-step explanation:
You just have to combine like factors.
Hope this helps! Have a good day!
How many triangles can you make with the following sides: 1,3,10
PLS HELP ME ASAP I NEED HELP-
20 PTS.
There is a scale model of the White House in Tobu World Square in Japan. The scale used for the model is 1:25. The height of the main building of the White House is 85 feet. Find this height on the model. (3.4 feet)
Answer:
3.4 multiply 1-4
Step-by-step explanation:
there is a scale of white house
What is the relationship between the angles of this equilateral triangle
Answer:
Is it A+B+C= 180 degrees
Step-by-step explanation:
all angles in a triangle add up to 180 degrees. It's also an equilateral triangle so each of its angles are 60 degrees
Answer:
Is it A+B+C= 180 degrees
Step-by-step explanation:
all angles in a triangle add up to 180 degrees. It's also an equilateral triangle so each of its angles are 60 degrees
Which function is graphed below?
Answer:
B: y= 3(1/3)^x
Step-by-step explanation:
I graphed it on Desmos
NASA launches a rocket at t = 0 seconds. Its height, in meters above sea level, as a function of time is
given by h(t) = – 4.9t2 + 139t + 185,
Assuming that the rocket will splash down into the ocean, at what time does splashdown occur?
The rocket splashes down after
seconds.
How high above sea level does the rocket get at its peak?
The rocket peaks at
meters above sea level.
Answer:
the splash down occurs when h(t) = 0
0 = -4,9t2 + 139t + 185
using the quadratic formula,
t = -1.27 or 29.64 seconds
since time can't be negative
t = 29.64 secs
at the peak, h(t) is maximum
applying calculus,
[d{h(t)}}/dt = -9.8t + 139
at h(t) maximum, [d{h(t)}}/dt is 0
0 = -9.8t + 139
9.8t = 139
t = 14.18 secs
substituting,
h(t) = – 4.9t2 + 139t + 185
h(t) = -4.9(14.18^2) + 139(14.18) + 185
= 1170.77 m
Answer:
Step-by-step explanation:
y = ax² + bx + c
D = b² - 4ac
[tex]x_{12}[/tex] = ( - b ± √D ) ÷ 2a
[tex]y_{max}[/tex] = - [tex]\frac{b}{2a}[/tex]
~~~~~~~~~~~~~
h(t) = - 4.9t² + 139t + 185
- 4.9t² + 139t + 185 = 0
D = 139² + 4(- 4.9)(185) = 22947
[tex]t_{12}[/tex] = ( - 139 ± √22947) ÷ 2(- 4.9)
[tex]t_{1}[/tex] ≈ 29.641 ≈ 30 seconds
[tex]t_{2}[/tex] < 0
[tex]h_{max}[/tex] = - 4.9( [tex]-\frac{139}{2(-4.9)}[/tex] )² + 139( [tex]-\frac{139}{2(-4.9)}[/tex] ) + 185 ≈ 1170.7653 ≈ 1171 meters
Help please!
Store A sells jeans for 7/8 of the price at Store B. Store A sells jeans
for $35. Write and solve an equation to find how much you save by
buying jeans at Store A.
Answer:
35/(7/8)=
35*8/7=40 store B
40-35=$5 Saved
Step-by-step explanation:
Hope this helps :D
Please answer
Will give brainlst
Answer:
Step-by-step explanation:
root(23) - 8 < root(23) - 3 -3 is greater than -8
3 root(62) > 3 root(59) 62 > 59 Since the numbers are positive the roots of the larger number is going to be larger than the roots of the smaller number
-root(50) < - 3
The root of 50 is about 7. - 7 is smaller than - 3. Think money. Would you rather pay 3 dollars for a cup of coffee than 7 dollars for a cup of coffee?
root 15 + 2 < root(65) - 1
root(15) is roughly 4 when 2 is added to it, the result is about 6
root (65) is a touch over 8. When 1 is subtracted the result is about 7.
That's larger than the left side.
A sinusodial function whose frequency is 3, maximum value is 12, minimum value is -6 has a y-intercept of 3.
What function could be the function described
Answer:
f(x)=9sin(6πx)+3