Answer:
-12
Step-by-step explanation:
g(x)=3x,h(x)= x²-4
(g•h)(0)=g(h(0))
=g(0²-4)
=g(-4)
=3×(-4)
=-12
2x+y+4z=16
5x-2y+2z=-1
X+2y-3z=-9
Answer:
24
Step-by-step explanation:
-0.5 how do I write the repeating decimal as a fraction?
Answer:
-1/2
Step-by-step explanation:
Cage has been given two offers. Tallahassee Jellyfish offer is p = $400,00g and Madison Meerkats offer is p = $1,250,000 + $150,000g. Which offer is better if Cage can play 8 games in the season?
Tallahassee Jellyfish offer is p = $400,00g and Madison Meerkats offer is p = $1,250,000 + $150,000g. At what point these two offer's graphs intersect?
(5, 2000000)
(5, 2)
(16, 3600000)
(50, 20000)
Answer:
1. Tallahassee Jellyfish is the better offer 2. (5, 2000000)
Step-by-step explanation:
1.
Since g = 8, p1 = 400000 * 8 = $3,200,000
and p2 = 1250000 + 150000 * 8 = $2,450,000
2.
400,000g = 1,250,000 + 150,000g
250,000g = 1,250,000
g = 1,250,000 / 250,000 = 5.
at g=5, you can use either graph to find the y value.
400,000 * 5 = $2,000,000
(5, 2000000)
How much would you have to deposit today to accumulate the SAME AMOUNT OF MONEY that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn?
Answer:
7606.62
Step-by-step explanation:
Start by finding how much you will have through the annuity. The question isn't that clear, so i will just assume it's an annuity due.
\(p(\frac{(1+i)^n-1}{i})*(1+i)\\i=.035/12= .0029166667\\n=10*12=120\\p=75 (given)\\75\frac{(1+.0029166667)^{120}-1}{.0029166667}*(1+.0029166667)= 10788.814149\\\)
Now just equate this to a time 0 payment at the same rate
\(10788.814149=(1+.0029166667)^{120}*x\\x= 7606.6228603=7606.62\)
As a quick note, if you were supposed to assume that your annuity was an annuity immediate the answer would be 7584.50.
Find the mean for the following data set: 5, 3, 6, 8, 1, 1 *
Answer:
add all the numbers
which will get you 24
then divide by how many numbers you got which will give you 6
the answer is six
Step-by-step explanation:
Hope this helps :D
Answer:
The mean is equal to 4.
Step-by-step explanation:
To find the mean of any set of numbers, you have to add all of those numbers and divide the result by however many numbers their are.
For example, the mean of 2,5,6, and 7 would be the following: 2+5+6+7/4
The mean of 5,3,6,8,1, and 1 is the following: 5+3+6+8+1+1/6=24/6=4
The mean is equal to 4.
The length of a side of a triangle is in the extended ratio of 3:5:7. The perimeter of the triangle is 120cm. What are the lengths of the sides?
Answer:
56cm
Step-by-step explanation:
Ratio = 3 : 5 : 7
Perimeter = 120 cm
Process
# of parts = 3 + 5 +7 = 15
Divide 120 by 15 = 120 / 15
Number of parts = 8
First side = 3 x 8 = 24 cm
Second side = 5 x 8 = 40 cm
Third side = 7 x 8 = 56 cm
Perimeter = 24 + 40 + 56 = 120 cm
In the exponential decay function ƒ(x) = a • bx, the b is between 0 and 1.
True
False
False, In the exponential decay function ƒ(x) = a • bx, the b is between 0 and 1.
What is exponential decay function?
In mathematics, the term "exponential decay" refers to the process of a constant percentage rate decline in a value over time.
It can be written as y=a(1-b)x, where y represents the final amount, a represents the initial amount, b represents the decay factor, and x is the amount of time that has passed.
How do you calculate an exponential function?
The equation f(x) = ax, in which the input variable x appears as an exponent, describes an exponential function. Both the exponential function and the value of x are dependent on the exponential curve.
The exponential function, which has the form, is a significant mathematical function. f(x) = ax.
Learn more about exponential decay function
brainly.com/question/14355665
#SPJ1
Simplify -7 1/8 - (-9 1/2)
Answer:
Convert 7 1/8 to an improper fraction.
Simplify 7 * 8 to 56
-56 + 1/8 - (-9 1/2)
Simplify 56 + 1 to 57
-57/8 - (-9 1/2)
Convert 9 1/2 to an improper fraction.
-57/8 - (-9 * 2 + 1/2)
Simplify 9 * 2 to 18
-57/8 - (-18 + 1/2)
Simplify 18 + 1 to 19
-57/8 - (-19/2)
Simplify brackets
-57/8 + 19/2
Find the LCD
LCD = 8
Make the denominators the same as the LCD
-57/8 + 19 * 4/2*4
Simplify. Denominators are now the same
-57/8 + 76/8
Join the denominators
-57 + 76/8
Simplify
19/8
Convert to a mixed fraction.
2 3/8
Your answer is D.
Step-by-step explanation:
100 POINTS PLEASE HELP FAST
Select the correct answer.
The weight of a radioactive isotope was 96 grams at the start of an experiment. After one hour, the weight of the isotope was half of its initial weight. After two hours, the weight of the isotope was half of its weight the previous hour. If this pattern continues, which of the following graphs represents the weight of the radioactive isotope over time?
The top left graph represents the weight of the radioactive isotope over time.
How to define an exponential function?An exponential function has the definition presented according to the equation as follows:
\(y = ab^x\)
In which the parameters are given as follows:
a is the value of y when x = 0.b is the rate of change.The parameter values for the function in this problem are given as follows:
a = 96, b = 0.5.
Hence the function is given as follows:
\(y = 96(0.5)^x\)
Two points on the graph of the function are given as follows:
(1,48) and (2, 24).
Hence the top left graph represents the weight of the radioactive isotope over time.
More can be learned about exponential functions at brainly.com/question/2456547
#SPJ1
Answer:
Graph W
Step-by-step explanation:
The given information describes a radioactive decay process, where the weight of the isotope decreases by half at regular intervals. This type of decay is characteristic of exponential decay.
Based on the description, the graph that represents the weight of the radioactive isotope over time would be a decreasing exponential curve, where the y-axis represents the weight of the isotope (in grams), and the x-axis represents time (in hours).
The initial weight of the isotope is 96 grams, and after each subsequent hour, the weight becomes half of what it was in the previous hour. Therefore, the correct graph would start at 96 grams (the initial weight when x = 0) and then decrease by half every hour. It would be a curve that gets closer and closer to zero but never quite reaches it.
Initial weight: 96 grams
After 1 hour: 96 / 2 = 48 grams
After 2 hours: 48 / 2 = 24 grams
After 3 hours: 24 / 2 = 12 grams
After 4 hours: 12 / 2 = 6 grams
After 5 hours: 6 / 2 = 3 grams
So, the points on the graph would be:
(0, 96), (1, 48), (2, 24), (3, 12), (4, 6), (5, 3)Therefore, the graph that represents the weight of the radioactive isotope over time is Graph W.
Use the scenario to choose the correct answers. Complete Steps 1-2 in order.
A company records its sales for each year.
9. Step 1: Find the equation of the line of regression
y=ax+b
y=3.7 x+8.5
y=8.5 x+3.7
y=-8.5 x+3.7
y=-3.7 x+8.5
10. Step 2: Use the regression line as a model to estimate the sales of the company in 2022.
71.7 million dollars
64.3 million dollars
85 million dollars
38.1 million dollars
9. The regression line is given as follows: y = 8.5x + 3.7.
10. The estimate for 2022 is given as follows: 71.7 million dollars.
How to obtain the regression line?The regression line is obtained inserting the points of the table into a linear regression calculator.
From the table, the points are given as follows:
(1, 13), (2, 19), (3, 31), (4, 36), (5, 47).
(considering x as the number of years since 2014).
Inserting these points into a calculator, the equation is given as follows:
y = 8.5x + 3.7.
2022 is 8 years after 2014, hence the estimate is given as follows:
y = 8.5(8) + 3.7 = 71.7 million dollars.
(numeric value at x = 8, replace the lone instance of x by 8).
More can be learned about linear regression at https://brainly.com/question/29613968
#SPJ1
Determine the value of y.
Answer:
i think it's (C) 4.8
\(\frac{5}{5+3} = \frac{8}{8 + y}\)
You need to be at least 39.37 inches tall (about a meter ) to ride on a bumper car. Diego cousin is 35.75inches tall. How many more inches will he need to grow before Diego can take him on the bumper car ride. Explain or show your reasoning.
Answer:
3.62
Step-by-step explanation:
39.37 - 35.75 = 3.62
What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (-3, 1)?
Answer:
y-1= -1/3(x+3)
Step-by-step explanation:
y-y1=m(x-x1)
y-1=m(x+3)
the slope is rise over run
the slope is -1/3
Answer:
y - 1 = 3/2 (x + 3)
Step-by-step explanation:
To find the equation of a line parallel to the given line and passing through the point (-3, 1), we can use the point-slope form of a linear equation. The point-slope form is given by:
y - y₁ = m(x - x₁)
Where (x₁, y₁) is the given point and m is the slope of the line.
First, let's calculate the slope of the given line using the two points (-2, -4) and (2, 2):
slope = (y₂ - y₁) / (x₂ - x₁)
= (2 - (-4)) / (2 - (-2))
= 6 / 4
= 3/2
Since the line we want to find is parallel to the given line, it will have the same slope. Therefore, the slope (m) of the new line is also 3/2.
Now we can substitute the values into the point-slope form using the point (-3, 1):
y - 1 = (3/2)(x - (-3))
y - 1 = (3/2)(x + 3)
The equation in point-slope form of the line parallel to the given line and passing through the point (-3, 1) is:
y - 1 = 3/2 (x + 3)
What is the product of -2/7 and -3/7 ?
Answer:
6/49
Step-by-step explanation:
-2/7 * -3/7 = (-2 * -3) / (7*7) = 6/49
Subtract ( b - a - d +c) from (a – b + c – d)
Answer:
2(a - b)
Step-by-step explanation:
a - b + c - d - (b - a - d + c)
a - b + c - d - b + a + d - c
2a - 2b
2(a - b)
Georgina cooked a 10 1/5 pound turkey in 2 3/5 hours. How many hours per pound did it take to cook the
turkey? Express and explain your answer as a unit rate.
13/51 hours per pound
EXPLANATION
= 2 3/5 hours : 10 1/5 pound
= 13/5 hours : 51/5 pound
= 13/5 × 5/51 hours per pound
= 65/255 hours per pound
= 13/51 hours per pound
#LearnWithEXO
Use the following information to answer the question. Suppose that the probability that a person books a hotel using an online travel website is 0.68. For the questions that follow, consider a sample of fifteen randomly selected people who recently booked a hotel. What is the probability that no more than four out of fifteen people used an online travel website when they booked their hotel
Answer:
0.0013 = 0.13% probability that no more than four out of fifteen people used an online travel website when they booked their hotel
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they booked the hotel using an online travel website, or they did not. Each person is independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
Suppose that the probability that a person books a hotel using an online travel website is 0.68.
This means that \(p = 0.68\)
Sample of fifteen:
This means that \(n = 15\)
What is the probability that no more than four out of fifteen people used an online travel website when they booked their hotel
\(P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)\)
So
\(P(X = 0) = C_{15,0}.(0.68)^{0}.(0.32)^{15} = 0\)
\(P(X = 1) = C_{15,1}.(0.68)^{1}.(0.32)^{14} = 0\)
\(P(X = 2) = C_{15,2}.(0.68)^{2}.(0.32)^{13} = 0\)
\(P(X = 3) = C_{15,3}.(0.68)^{3}.(0.32)^{12} = 0.0002\)
\(P(X = 4) = C_{15,4}.(0.68)^{4}.(0.32)^{11} = 0.0011\)
\(P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0 + 0 + 0 + 0.0002 + 0.0011 = 0.0013\)
0.0013 = 0.13% probability that no more than four out of fifteen people used an online travel website when they booked their hotel
What's the first term of the expansion of (x+y)9?
please help me find the area
Answer:
165 square ft
Step-by-step explanation:
PLEASE HELP who knows the answer to this?
Answer:
a.
Step-by-step explanation:
What were the rental rates?
answer/explanation:
d = daily rental chargem = the charge per mileJon rented a car from a company that charged a daily rental fee and a mileage charge. He rented the car for 6 days and drove 300 miles and was charged $285.6d + 300m = 285His friend Amanda later rented the same car for 7 days and drove 260 miles and was charged $310.7d + 260m = 310by solving the system of equations6d + 300m = 2857d + 260m = 310we findd = $35m = $0.25the daily rental charge is $35.the company charge per mile is $0.25.hope this helps
Read the situation below and write the correct integer:
"The school had a decrease of 250 students."
A. -250
B. 250
C. 0
D. 25
Answer:
A. -250
have a nice day
hope this helps
Answer:
A. -250..................
..
....
Of all postsecondary degrees awarded in the United States, including master's and doctorate degrees, 21% are associate's degrees, 58% are earned by people whose race is White, and 12% are associate's degrees earned by Whites. What is the conditional probability that a degree is earned by a person whose race is White, given that it is an associate's degree
The conditional probability that a degree is earned by a person whose race is White, given that it is an associate's degree, is 57.14%.
Given that of all postsecondary degrees awarded in the United States, including master's and doctorate degrees, 21% are associate's degrees, 58% are earned by people whose race is White, and 12% are associate's degrees earned by Whites, to determine what is the conditional probability that a degree is earned by a person whose race is White, given that it is an associate's degree, the following calculation should be performed:
A cross multiplication must be applied to obtain the percentage of whites who have obtained an associate degree. 21 = 100 12 = X 12 x 100/21 = X 1200/21 = X 57.14 = XTherefore, the conditional probability that a degree is earned by a person whose race is White, given that it is an associate's degree, is 57.14%.
Learn more in https://brainly.com/question/795909
PLEASE HELP ME I NEED THE ANSWER NOW !!!!
using the line of best fit
The monthly cell phone bill when shared data equals zero is given as follows:
$26.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.The intercept of the line in this problem is given as follows:
b = 26.
Hence $26 is the monthly cell phone bill when shared data equals zero.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
Help please I need to pass this
Answer:
50.
Step-by-step explanation:
.
A relation contains the points (negative2, 4), (negative1,1), (0,0), (1,1), and (2,4). Which statement accurately describes this relation?
Answer:
We have the points:
(-2,4), (-1, 1), (0, 0), (1, 1), (2, 4)
First, we can see a symmetry around the point (0, 0), then this is an even function. Where an even function is a function f(x) such that:
f(x) = f(-x)
And in this case we have:
f(-2) = 4 = f(2)
f(-1) = 1 = f(1)
Now, we can also assume that this is a quadratic function (or it behaves like a quadratic function near the range [-2, 2]).
Such that:
f(x) = a*x^2 + b*x + c
Now let's use the known points to find our equation, we start with (0, 0)
f(0) = 0 = a*0^2 + b*0 + c
then c = 0.
f(x) = a*x^2 + b*x
Now let's use the points (1, 1) and (-1, 1)
f(1) = a*1^2 + b*1 = 1 = a*(-1)^2 + b*-1
a + b = a - b
+b = -b
2*b = 0
Then we must have b = 0
f(x) = a*x^2
And now we can use the point (2, 4)
f(2) = 4 = a*2^2 = a*4
Then a = 1.
Our function is f(x) = 1*x^2
Can someone help. I literally forgot this how
Answer:
Below.
Step-by-step explanation:
The 2 triangles are congruent ( By 2 angles and corresponding side).
The 2 marked angle are congruent so
5y - 30 = 2y + 6
3y = 36
y - 12.
So m < O = 5(12) - 30 = 30 degrees.
and m <N = 180 - 30 - 90 = 60 degrees, (as there are 180degrees in triangle)
EN = IV = 14.
It is possible to find the measure of OE and ON by using trigonometry of a right triangle.
tan 30 = EN / OE
OE = EN / tan30
= 14/tan30
= 24.3.
sin 30 = 14/ON
ON = 14 / sin 30
= 28.
Is x-6 a factor of f(x)? Use the Factor Theorem.
f(x)=x^4-32x²-144
Yes
No
By evaluating f(6) and confirming that it equals zero, we can determine that x - 6 is a factor of the polynomial f(x) = x^4 - 32x^2 - 144.
To determine if x - 6 is a factor of f(x) = x^4 - 32x^2 - 144 using the Factor Theorem, we need to check if f(6) equals zero. If f(6) is zero, then x - 6 is a factor of f(x); otherwise, it is not a factor.
Let's calculate f(6):
f(6) = (6)^4 - 32(6)^2 - 144
= 1296 - 32(36) - 144
= 1296 - 1152 - 144
= 0
Since f(6) equals zero, we can conclude that x - 6 is indeed a factor of f(x).
The Factor Theorem states that if f(c) equals zero, where c is a constant, then x - c is a factor of f(x). In this case, since f(6) is zero, x - 6 is a factor of f(x).
Therefore, the answer is: Yes, x - 6 is a factor of f(x).
For more such question on polynomial. visit :
https://brainly.com/question/4142886
#SPJ8
What is 3 + 1
What is it
uh it's 4 yes. the answer would be 4
Answer:
it's 4
hope it is helpful to you