An exponential function can represent growth or decay, and the function that has a growth factor of 5 is f(x) =2(5^x)
How to determine the exponential function?An exponential function is represented as:
f(x) = ab^x
Where b represents the growth factor
From the list of options, we have:
f(x) = 2(5^x) and f(x) = 0.5(2^x)
This means that:
b = 5 for f(x) = 2(5^x)
And b = 0.2 for f(x) = 0.5(2^x)
Hence, the function that has a growth factor of 5 is f(x) =2(5^x)
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Answer:
A.
f(x) = 2(5x)
Step-by-step explanation:
31,616 divided by 52
Help help help math math math
Answer:
okay so the answer is x>-5
Answer:
x>-5
Step-by-step explanation:
21. Which kind of function best models the data in the table? Use differences or ratios. (1 point)
Y
01.3
17.8
246.8
3 280.8
41684.8
O linear
O quadratic
exponential
O none of the above
What is the inverse of function f? F(X) = square root of x +7
Answer: [tex]f^{-1} (x)=x^{2} -7[/tex]
Step-by-step explanation:
To find the inverse of a function replace f(x) with x and the original x with y
[tex]f(x)=\sqrt{x+7} \\x=\sqrt{y+7}[/tex]
Now we can solve for y
Square both sides so we can cancel out the root
[tex]x=\sqrt{y+7}\\x^{2} =\sqrt{y+7}^{2} \\x^{2} =y+7[/tex]
Now subtract 7 from both sides
[tex]x^{2} =y+7\\x^{2} -7=y+7-7\\x^{2} -7=y[/tex]
Now replace y with the inverse of f(x), [tex]f^{-1} (x)[/tex]
f⁻¹=x²+7
Solution:In order to find the inverse of a function, we should first replace f(x) with y, then switch x and y places, like so:y=√x+7x=√y+7Now, solve the equation for y.Square both sides in order to get rid of the square root:x²+7=yy=x²+7And finally, replace y with f⁻¹:f⁻¹=x²+7Also, inverse functions do the opposite thing in the opposite order.So if we have f(x)=x+7, the inverse function is: f⁻¹=x-7Hope it helps.
Do comment if you have any query.
Solve the inequality.
3 – 2a < 7
a > 2
a < 2
a < –2
a > –2
Answer:
a > –2
Step-by-step explanation:
3 – 2a < 7
-3 -3
-2a < 4
/-2 /-2
a > -2
Write down the shortest distance of points A,B,C, and D from the x-axis
Answer:
c
Step-by-step explanation:
what is the digit 9 in 195,487
Answer:
90,000 is the answer to that question
Answer:
It is a number located in the tens of thousands whose value is 90,000.
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Thank you so much for participate in the community of Brainly.com
I hope help you :)
Kind regards, Antonio.
If A is the center of the circle, then which statement explains how segment GH is related to segment FH?
Circle A with inscribed triangle EFG; point D is on segment EF, point H is on segment GF, segments DA and HA are congruent, and angles EDA and GHA are right angles.
segment GH ≅ segment FH because arc EF ≅ arc GF
segment GH ≅ segment FH because the inscribed angles that create the segments are congruent.
segment GH ≅ segment FH because the tangents that create the segment FG share a common endpoint.
segment GH ≅ segment FH because segment FG is perpendicular to a radius of circle A.
Statement fourth the segment GH ≅ segment FH because segment FG is perpendicular to a radius of circle A if Circle A with inscribed triangle EFG; point D is on segment EF, point H is on segment GF, segments DA and HA are congruent, and angles EDA and GHA are right angles.
What is a circle?It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).
We have AH as the radius and FG as a chord
AH is perpendicular to FG, AH⊥FG
As we know that a line passing through the center and perpendicular to the chord, bisects the chord.
∴ AH bisects FG
∴ FH = GH
Thus, the segment GH ≅ segment FH because segment FG is perpendicular to a radius of circle A if Circle A with inscribed triangle EFG; point D is on segment EF, point H is on segment GF, segments DA and HA are congruent and angles EDA and GHA are right angles.
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of the students at Wayland High School in
he first quarter, 48% made honor roll, 30%
had perfect attendance, and 25% both
made the honor roll and had perfect
attendance. If a student is chosen at
andom, what is the probability that they
have perfect attendance, given they made
he honor roll?
Using conditional probability, it is found that there is a 0.521 = 52.1% probability that they have perfect attendance, given they made he honor roll.
What is Conditional Probability?Conditional probability is the probability of one event happening, considering a previous event. The formula is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which:
P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.In this problem, the events are:
Event A: Student made the honor roll.Event B: Student has perfect attendance.The probabilities are given by:
[tex]P(A) = 0.48, P(A \cap B) = 0.25[/tex]
Hence the conditional probability is given by:
[tex]P(B|A) = \frac{0.25}{0.48} = 0.521[/tex]
0.521 = 52.1% probability that they have perfect attendance, given they made he honor roll.
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. Callie stopped for lunch when she was shopping at the mall. She bought two pieces ofpizza for $2.95 each and a soda for $2.25. About how much did she spend?
ESTIMATE UR ANSWER AND SHOW WORK PLSSS!
Answer:
about $8
Step-by-step explanation:
Pizza at $2.95 can be rounded to $3.
Callie had two pieces of pizza, so $3 x 2 = $6.
Soda at $2.25 can be rounded to $2.
Two pieces of pizza $6 + Soda $2 = about $8
F= G mM/r^2 solve for m
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve for m
[tex]\qquad \tt \dashrightarrow \:F = \dfrac{ GMm}{ {r {}^{2} }}^{} [/tex]
[tex]\qquad \tt \dashrightarrow \:F {r}^{2} = { GMm}{ { {}^{} }}^{} [/tex]
[tex]\qquad \tt \dashrightarrow \:m = \dfrac{F {r}^{2} { { {}^{} }}^{} }{GM}[/tex]
I need help with a math problem.
Answer:
First of all, you need to give us the problem dum a
Step-by-step explanation:
.
Question is in picture
Answer:
the first one is the correct answer
Step-by-step explanation:
the controlled variable is the one that stays constant, so the answer is 'the type of candy and the way in which we held the candy in our mouths'
:)
?
Which expression is equivalent to 2(x + 7) – 18x + 4/5
А А
74
20x +
5
139
20x +
5
B
С
74
-16x +
5
D
139
-16x +
5
Answer:
I got -16x+44/3
Step-by-step explanation:
Use a graphing calculator to determine the linear, quadratic, or exponential equation that best represents the data. For linear and quadratics, round slope, -intercept, and coefficients to the nearest integer. For exponential, round to the nearest integer and to the nearest tenth. Day Snow Depth (inches) 1 47 2 29 3 20 4 10 5 7 6 5 7 1.5
Answer:
y=88e^ -0.5x
Step-by-step explanation:
https://keisan.casio.com/exec/system/14059932387562
1) Use this online graphing calculator if you do not have on ^^
2) plug in data and choose "e-Exponential regression"
3) A= 88.4385965
B= -0.532128051
4) Round A to the nearest integer and B to the nearest tenth
5) Use the formula given "y=Ae^ Bx"
6) Leave the variables "e" and "x" as they are
A quadratic equation would best represent the data
i.e
-8x² + 93x - 56
What is a scatterplot?A scatterplot is a type of graphical display that is used to represent the relationship between two continuous variables.
In a scatterplot, each point represents the values of the two variables, with one variable being plotted along the x-axis and the other variable being plotted along the y-axis.
The position of each point on the graph represents the values of both variables for that particular observation.
We have,
To determine the best equation to represent the data, we will first plot the points on a graphing calculator:
Day Snow Depth
1 47
2 29
3 20
4 10
5 7
6 5
7 1.5
Now,
Based on the scatter plot of the points, it appears that a quadratic equation would best represent the data.
Using the quadratic regression feature on the graphing calculator, we obtain the following equation:
Snow Depth = -8x² + 93x - 56
Rounding to the nearest integer, the final equation that best represents the data is:
Snow Depth = -8x² + 93x - 56
Thus,
A quadratic equation would best represent the data
i.e
-8x² + 93x - 56
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Lincoln needs to order some new supplies for the restaurant where he works. The restaurant needs at least 682 spoons. There are currently 388 spoons. If each set on sale contains 8 spoons, which inequality can be used to determine x, the minimum number of sets of spoons Lincoln should buy?
Answer:
8x + 388 ≥ 682
Step-by-step explanation:
"The restaurant needs at least 682 spoons."...so we need 682 ore more
...What we already have + what we are going to order... ≥ 682
"There are currently 388 spoons. "
388 + ...what we are going to order... ≥ 682
Order has "each set on sale contains 8 spoons"...and , " x is the minimum number of sets "
388 + 8x ≥ 682
Pencils are sold in boxes of
12. Mrs. Sheridon wants to
give 2 pencils to each of her 24
students. How many boxes of the
pencils will she need to buy?
4 boxes 4.12 = 48 pencils
hope it helps...!!!
PLEASE HELP PLEASE HELP
13. Lorelei counted the faces on some three-dimensional figures. She found two figures with exactly 5 faces each. Which of two figures have exactly 5 faces each?
A. rectangular prism and triangular prism
B. rectangular pyramid and triangular pyramid
C. rectangular prism and triangular pyramid
D. rectangular pyramid and triangular prism
[tex] \\ [/tex]
Answer:D. Rectangular pyramid and triangular prism[tex]__________[/tex]
A. rectangular prism and triangular prism
Rectangular prism has 6 faces while triangular prism has 5 faces.B. rectangular pyramid and triangular pyramid
Rectangular pyramid has 5 faces while triangular pyramid has 4 faces.C. rectangular prism and triangular pyramid
Rectangular prism has 6 faces while triangular pyramid has 4 faces.D. rectangular pyramid and triangular prism
Both rectangular pyramid and triangular prism has exactly 5 faces.Therefore, the answer is D. Rectangular Pyramid and Triangular Prism.
How do you solve the area
Around which line would the following cross-section need to be revolved to create a sphere?
Options:
A: x = 1
B: y = 1
C: y axis
D: x = 2
i thought it was y axis but im not sure so i just want to make sure!!
Answer:
B y=1
Step-by-step explanation:
1. Suppose that the weights of 3500 registered female Great Danes in the United States are
distributed normally with a mean of 125 lb. and a standard deviation of 5.2 lb.
Approximately how many of the Great Danes weigh more than 130.2 lbs.?
2. Body mass index, or BMI, of 18-year-old females are normally distributed with a mean of 24.6 and
a standard deviation of 2.4. Eighteen-year-old Sasha BMI has a z-score of 1.22.
What is Sasha’s BMI?
3. An experiment compares weight of fish for two different brands fish food. Nacho Average Minos
fish food has a mean fish weight 12 lbs., and a standard deviation of 1.4 lbs. Impossible Minos fish
food has a mean fish weight of 14 lbs. and a standard deviation of 1.2 lb. A fish is measured to be
13.1 lbs. Which brand of fish food, Nacho Average Minos, or Impossible Minos, is more likely to have
been used to feed this fish?
4. Height of 10th grade boys is normally distributed with a mean of 66.9 in. and a standard deviation
of 2.5 in.
The area greater than the z-score is the probability that a randomly selected 15-year-old boy
exceeds 71 in.
What is the probability that a randomly selected 10th grade boy exceeds 71 in.?
Use your standard normal table.
5. Heights for 16-year-old girls are normally distributed with a mean of 64 in. and a standard
deviation of 1.9 in.
Find the z-score associated with the 90th percentile.
Find the height of a 16-year-old girl in the 90th percentile.
State your answer to the nearest tenth of an inch.
Answer:
1 3500 2 24.6 3 12
Step-by-step explanation:
NEED HELP ASAP
Solve this quadratic equation by completing the square.
x2 + 4x = 15
O A. X=-4 + 119
O B. *=-4 1/15
O c. x=-2119
O D. X=-27 15
Step-by-step explanation:
to solve quadratic equation when the roots are not rational
x = -b+-√(b^2-4*a*c)/ 2a
here a = 1
b = 4
c = -15
(-4+-√16+65)/2
-4+-√81/2
(-4+-9)/2
x = -13/2, 5/2
Answer:
The answer is D.
Step-by-step explanation:
(X+2)²=19
What is the mean absolute deviation of the following set
of data?
4
1
5
3
2
4.
5
3
3
4
Answer:
1
Step-by-step explanation:
The mean absolute deviation of a dataset is the average distance between each data point and the mean.
WILL GIVE BRAINLEIEST HURRRYY
The graph of an exponential function, f(x), is shown.
Move numbers to the blanks to describe how f(x) increases and grows over different intervals.
This are the answers
Select all expressions that are equivalent to x-5
Answer:
C. [tex]-5+x[/tex]
E. [tex]x+(-5)[/tex]
F. [tex]-5-(-12)[/tex]
Step-by-step explanation: Let's say we chose a random number to represent x I chose 12
4* - 5(2*) + 4 = 0, u = 2* [Note: 4* = (2*)^2
Use the substitution given
Answer:
x = 0, 2
Step-by-step explanation:
[tex] {4}^{x} - 5( {2}^{x} ) + 4 = 0 \\ {({2}^{x})}^{2} - 5( {2}^{x} ) + 4 = 0 \\ {u}^{2} - 5u + 4 = 0 \\ (u - 1)(u - 4) = 0 \\ u = 1 \: or \: u = 4 \\ {2}^{x} = 1 \: or \: {2}^{x} = 4 = {2}^{2} \\ x = 0 \: or \: x = 2[/tex]
PLS HURRY TIMED!!!
.
.
.
.
.
.
.
.
Answer:
-3
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Start with the diagonal going from upper left to lower right.. That gives -4*6 = - 24
Now calculate the other diagonal
-(3 * - 7 ) = 21
Now add them.
-24 + 21 = -3
If 100 students are surveyed, about how many students own 2 or more pets? Explain. Problem: 9/20x100 Please tell me how to get the answer just not the answer. Thank you.
Answer:
45
Step-by-step explanation:
20 goes into 100 5 times so then you tka e the 9 and x 5 and you get 45
Jessie wants to run a simulation of 10 trials to determine the probability of her picking at least one green marble in her next two picks. She will replace the marble after the first pick. Explain how Jessie can conduct a simulation using random digits from 0-9.
The simulation using random digits is an illustration of sample space and probability
How to run the simulation using random digits?From the question, we understand that the simulation is to determine the probability that she picks at least one green marble in her next two picks.
One of the ways this can be done is as follows:
Represent the green marbles with digits 0 - 4 Represent the other marbles with digits 5 - 9The above ensures that the probability of picking a green marble in each selection is 0.5 and the probability of not picking a green marble in each selection is also 0.5 i.e. the experiment is fair
Next, is to run a simulation of 10 trials.
Take for instance, the result of the simulation is as follows:
00 65 36 48 55
19 34 87 13 90
The number of outcomes that has at least one of digits 0 - 4 represents the required outcome i.e. picking at least one green marble
From the simulation result, the number of outcomes is
At least 1 green marble = 7
Number of trials = 10
So, the probability of picking at least a green marble is:
P = 7/10
P = 70%
Note that there are several other ways the simulation can be done; this is just one of them
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Help me plss i don’t understand this
Answer:
See attached image, I vote for option A, but I agree it is a confusing question.
Step-by-step explanation:
See attached image.