Answer: To find the value of ƒ (−4), we substitute −4 for x in the function ƒ(x) = 2x − 9:
ƒ(−4) = 2(−4) − 9
Performing the multiplication and addition, we get:
ƒ(−4) = −8 − 9
Thus, the value of ƒ(−4) is equal to −17.
Answer: ƒ (−4) = -17
Step-by-step explanation:
To find the value of ƒ (−4) we will substitute all values of x for -4 in the original function and simplify.
ƒ (−4) = 2x - 9
ƒ (−4) = 2(-4) - 9
ƒ (−4) = -17
if n is an integer,what is the sum of the next three consecutive even integers greater than 2n
The sum of the next three consecutive even integers greater than 2n, where n is an integer, is: Sum = 6n + 12
What is the sum of the next three consecutive even integers?We know that n is an integer number, we want to find the sum of the next three consecutive even integers greater than 2n2n is already an even integer, and consecutive even integers are given by adding 2 to the smaller one.
Then the 3 consecutive integers larger than 2n are:2n + 22n + 42n + 6
The sum of these 3 gives:(2n + 2) + (2n + 4) + (2n + 6)3*(2n) + 2 + 4 + 66n + 12
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Teacher's Salary The average teacher's salary in a particular state is $54,137.
If the standard deviation is $10,450, find the salaries corresponding to the following z scores.
The salary corresponding to z=1 is $64587 if the average teacher's salary in a particular state is $54,137.
What is z-score?A Z-score is a metric that quantifies the connection between a value and the mean of a set of values. The Z-score is measured as the standard deviations from the mean. If the Z-score is 0, A data point's score is the same as the mean score. In statistics, a raw score's value that deviates or surpasses the mean of the phenomenon being observed or measured is referred to as the standard score. Raw scores above the mean are given positive standard scores, whilst raw values below the mean are given negative standard ratings.
The pay is 1 standard deviation above the mean, according to a z score of 1.
Therefore, the salary for a z-score of 1 is:
$54,137 + 1($10,450) = $64587
Therefore, the salary corresponding to z=1 is $64587
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For each of the statements below, is it true with Correlation, Regression, Both, or Neither? Please explain. Thank You!
1. Requires a measure for both variables'individual variances
2. Can be tested for statistical significance
3. Provides a way to predict a specific value of one variable (such as weight) from the value of another variable (such as height)
1. Correlation is a bivariate analysis that measures the strength of association between two variables and the direction of the relationship. Regression is a statistical method to determine the strength and character of the relationship between one dependent variable and a series of other variables (known as independent variables). So, both correlation and regression require a measure for both variables individual variances.
2. We can test for the statistical significance of a correlation coefficients by performing a hypothesis test on the correlation coefficients. And it's also possible to perform hypothesis tests on the regression slope on the values which is being estimated using a regression analysis. So, both correlation and regression can be tested for statistical significance.
3. Correlation helps us to test the strength of association between two variables. But regression helps us to predict one of the variables from the other. So, it is true for a regression. It is only regression which provides a way to predict a specific value of one variable from the value of another variable.
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10 points cause it not thay hard for yall
Answer:
6,63,9 and 90
Step-by-step explanation:
The slope of the table is 9.
36/4 is equal to 9.
54/9 = 6
7*9=63
81/9=9
10*9=90
PLEASE ASAP HURRY PLEASE
Mario set a goal to run 170 miles this month to prepare for a marathon. So far this month, he has run 85 miles. Write and solve an equation to show how many miles Mario has left to run this month to reach his goal.
A. m over 85 equals 170; m = 14,450 miles
B. m − 85 = 170; m = 255 miles
C. m + 85 = 170; m = 85 miles
D. 85m = 170; m = 2 miles
The equation to show how many miles Mario has left to run this month to reach his goal is C. m + 85 = 170; m = 85 miles.
How to illustrate the equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement
In this situation, Mario set a goal to run 170 miles this month to prepare for a marathon and far this month, he has run 85 miles.
Let the remaining miles be m.
This will be illustrated as:
m + 85 = 170
Collect like terms
m = 170 - 85
m = 85
In conclusion, the correct option is C
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Hannah wants to have $ 5500 to help pay for a new deck in 10 years. If she wants to put her money into an account earning 5.5% interest compounded continuously, how much should she invest now, so that she will have $ 5500 in 10 years?
Payment amount =
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$5500\\ P=\textit{original amount deposited}\\ r=rate\to 5.5\%\to \frac{5.5}{100}\dotfill &0.055\\ t=years\dotfill &10 \end{cases} \\\\\\ 5500=Pe^{0.055\cdot 10} \implies \cfrac{5500}{e^{0.055\cdot 10}}=P\implies 3173.22\approx P[/tex]
what is the answer to this? solve for x
4x+4=24
Answer: x=5
Step-by-step explanation:
4x+4-4=24-4
4x=20
x=5
A doctor has 2 doses of flu protection vaccine left. He has 5 women and 8 men who want the medication. If the
names of 2 of these people are selected at random, determine the probability that 2 men's names are selected
The problem is to be done without replacement. Use combinations to determine the probability.
The required probability for the 2 men's names are selected is 0.358.
Given that,
A doctor has 2 doses of flu protection vaccine left. He has 5 women and 8 men who want the medication.
The names of 2 of these people are selected at random, determining the probability that 2 men's names are selected is to be determined,
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
The number of ways to select 2 men = 8C2 = 28
The number of ways to select 2 people from 13 = 13C2 = 78
The probability of the 2 men's names being selected = 28 / 78 = 0.358
Thus, the required probability for the 2 men's names are selected is 0.358.
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Rajani is carrying 9.725 kg of vegetables and Mamta is carrying 8.50 kg of vegetables. Who is carrying more and how much?
Answer:
Step-by-step explanation:
let Rajani be carrying r = 9.725kg
let Mamata be carrying m = 8.500kg
difference = r - m = 9.725 - 8.500 = 1.225kg
hence Rajani is carrying 1.225kg more than Mamata
Y-2=1/3(x+6) write in standard form
Answer:
2x+3y = -15
Step-by-step explanation:
In which direction does the parabola defined by the equation y = 4x + 4 open?
Hence, given parabola is defined in Negative Y direction. -Y direction
Which of the several equation types are there?Either identity equations or conditional equations classify an equation. Every value of the variables has a corresponding identity. Only particular values of the variables are valid for a conditional equation. The equals symbol ("="), which divides two expressions, denotes an equation.
Here,
Given : y = 4[tex]x^{2}[/tex] + 4
Thus,
General Guidance The answer provided below has been developed in a clear step by step manner.
Step: 1 Given parabola equation is,
=> y = -4[tex]x^{2}[/tex]+4
=>y-4=-4x2 -4x2 =
=> (y-4) == y-4 = 4
This is the equation of a downward parabola. Hence this parabola is defined in negative Y direction.
Explanation: Upward parabola is given by [tex]x^{2}[/tex] = 4AY, And downward parabola is [tex]x^{2}[/tex] = - 4Ay
Hence, given parabola is defined in Negative Y direction. -Y direction
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O
Yaritza made 25% of her free throws over the season. If she shot 160 free throws, how
many did she make?
Divide/scale down to solve for the missing percent.
attempts
percent
Submit Answer
25
BB
A
160
100
0
attempt 1 out of 2 by
Yaritza made 25% of her free throws over the season. If she shot 160 free throws, 40 many did she make. Using the concept of percentage.
What is Percentage?When a fraction of a whole is represented as a number between 0 and 100, it is called a percentage. All of something is 100 percent, half of it is 50 percent, and none of it is 0%. To calculate a percentage, multiply the result by 100 after dividing the part of the whole by the entire.
When the denominator is 100, percentages are really just fractions. The percent sign (%) is placed next to a number to indicate that it is a percentage. For instance, you would have received a 75% on the examination if you correctly answered 75 out of 100 questions (75/100).
An easy way to solve this problem is by first finding 50%.
To find 50% of 160
= 160 × (50/100)
= 80
So, 160.0 becomes 80.
Then, because 25% is half of 50% to find the answer divide 80 by 2.
Therefore, Yaritza made 40 of her 160 free throws.
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What is the percent of increase from 24 to 42?
Write your answer using a percent sign (%).
Submit
Answer:
42.86%
Explanation:
First, we subtract the two numbers.
42 - 24 = 18
Now we divide this to the original number.
18 / 42 = 0.4285714286
Multiply by 100:
42.85714286
So, the percent increase is approximately 42.86%
Jamie is a salesperson in a jewelry store and earns $150 per week, plus 15% of her weekly sales. If Jamie makes $229.50 in one week, what are her sales for that week
The sales Jamie made for the week is $530
How to find Jamie sales for the weekinformation from the problem
Jamie is a salesperson in a jewelry store and earns $150 per week, plus 15% of her weekly sales
Jamie makes $229.50 in one week, her sales for that week = ?
The question is a percentage problem, percentage deals with a fraction hundred and used as follows
15% = 15 percent
= 15 / 100
= 0.15
Let Jamie's sales for the week be x
total earning = 150 + 0.15x
229.50 = 150 + 0.15x
229.50 - 150 = 0.15x
0.15x = 79.5
x = 79.5 / 0.15
x = 530
The sales for the week is $530
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Which of the following conclusions do you draw if the p-value is not small enough to convincingly rule out chance?
a. We cannot reject the null hypothesis.
b. We accept the null hypothesis.
c. We are convinced that chance alone produced the observed results.
d. We accept the alternative hypothesis.
The conclusion is option A, we cannot reject the null hypothesis.
What is hypothesis?An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true.
The null hypothesis cannot be rejected for the entire population if your sample is not sufficiently incompatible with it, which can be determined if your P value is small enough.
Therefore, we can not reject the hypothesis.
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Let f(x) be a polynomial with a leading coefficient of 6 and a constant term of 5. Which of the following cannot be true?
====================================================
Reason:
The leading coefficient is 6, which is the coefficient of the leading term (aka the first term). The constant is 5, which is the last term.
Here are some examples of what f(x) could be.
[tex]f(\text{x}) = 6\text{x}^2+\text{x}+5\\\\f(\text{x}) = 6\text{x}^3+2\text{x}^2-7\text{x}+5\\\\f(\text{x}) = 6\text{x}^5+4\text{x}^3-81\text{x}^2+5[/tex]
The middle terms don't matter and neither does the exponent on the leading term.
So this is what the general template would look like
[tex]f(\text{x}) = 6\text{x}^{n}+\ldots+5\\\\[/tex]
where n is a positive integer.
If we were to plug in x = 0, then all of the terms involving x go to zero. They cancel out. The only thing left standing would be the "5" at the very end.
So,
[tex]f(\text{x}) = 6\text{x}^{n}+\ldots+5\\\\f(0) = 6*0^{n}+\ldots+5\\\\f(0) = 0+0+\ldots+0+0+5\\\\f(0) = 5\\\\[/tex]
In short, the constant value is the y intercept of the polynomial curve. It allows us to quickly spot it without having to do much (or any) math.
This is why choice B is a false statement.
The other answer choices cannot be proven true or false since we don't have enough information about this particular function.
When Ibuprofen is given for fever to children 6 months of age up to 2 years, the usual dose is 5 milligrams (mg) per kilogram (kg) of body weight when the fever is under 102.5 degrees Fahrenheit. How much medicine would be usual dose for a 18 month old weighing 18 pounds? milligrams
A barn is in the shape of a pentagonal prism with the dimensions shown. The volume of the barn is 9072 cubic feet. Find the dimensions of each half of the roof.
(Help I cannot solve this-)
According to the given information the dimensions of each of the roof is 12 feet.
Mathematical concepts include volume.The amount the three-dimensional space that's also occupied is measured in volume. To define it quantitatively, a variety of imperial either Us or metric system, in addition to SI-derived units such as the cubic meter but instead liter), are widely utilized. A symbiotic relationship exists between volume and length (cubed).
What does mathematic volume mean?Mathematics refers to volume as the measurement of internal space in a specific 3D object. A fish tank, for instance, is three feet long, one foot broad, and two feet high. Expanding the length, that width, and the height results in the volume, which is equal to six when 3x1x2 is used. Consequently, the fish tank can hold 6 cubic feet of water.
Briefing:According to the given picture
a = 18 ft,
b = 8ft,
c = 36ft and h = x
[tex]\begin{matrix}V=a\times b\times c+\frac{a\times h}{2}\times c\\\9072=18\times8\times36+\frac{18\times x}{2}\times36\\9072=5184+324\times x\\\x=12\\\end{matrix}[/tex]
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Answer: 15
Step-by-step explanation: I submitted 12 and that was wrong, answer is 15
Show that if f is a function from S to T, where S and T are finite sets with |S| > |T |, then there are elements s₁ and s₂ in S such that f(s₁) = f(s₂), or in other words, f is not one-to-one.
The function f : S--> T is not a one to one function
Given :
f : S --> T
S and T are finite sets with |S| > |T|
To proof : f is not one-one function
Let us assume for the sake of contradiction that f is one to one function
Let n and m be positive integers such that |S| = n and |T| = m.
Note that these integers need to exist as S and T are finite sets
n > m
Let S = {s1 , . . . , sn} and T = { t1 , . . . , tm}
Without loss of generality , we can assume that f(si) = ti , for i = 1, 2, 3 ....
as each element needs to have a unique image ( since , f is one to one ) and we can rename the element t1 , . . . , tm if the order of the elements didnt match up the images.
Since , n > m we have a term sm+1 while we do not have a term t m+1 .
This implies that sm+1 needs to have a same image as some sk
f(sm+1) = f(sk) = tk
However , f(sm+1) = f(sk) = tk is then in contradiction with the fact that f is one-to-one.
Since , we derive a contradiction our assumption that f is one-to-one is incorrect and thus f is not one-to-one
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K
Factor the trinomial.
b²-13b+40
Answer: (b-8)(b-5)
Step-by-step explanation:
Find the multiple of 40 that adds up to -13 while being mutiplied by multiples of b^2
1*-5=-5
1*-8=-8
-8-5=13
-8*-5=40
(b-8)(b-5)
Find the equation of the line passing through (1, 5) and parallel to y = 3x – 1.
(20 POINTS!!!!!!!! SHOW YOUR WORK PLEASE!!!!)
Answer:
y = 3x - 1
y = 3x + 2
Step-by-step explanation:
Here Is The Right Lined Up Answer,
If You Expected It As A Photo Lined For An
Easier Review I Don't Have The 'Capture Photo' Button
But I Can Reuse/Repost, Here It Is:
There You Are, I Hope This Helped You Out
Don't Get Stressed You WILL Get 100%
By: LocalLesMara
what is the rate of change of the function y=7/4x-2
Answer:
7/4
Step-by-step explanation:
The rate of change is the slope or the change in y over the change in x.
PLEASE ANSWER CLEARLY WITH THE EQUATION
A group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the trip. Each small car can hold 5 people and each large car can hold 7 people. The students rented 2 more small cars than large cars, which altogether can hold 46 people. Write a system of equations that could be used to determine the number of small cars rented and the number of large cars rented. Define the variables that you use to write the system.
There were 6.75 small cars rented and 1.75 large cars total were rented.
How to find the Equation?Let x represent the quantity of little cars rented, and y represent the quantity of big cars rented.
The system of equations below is based on the statements that have been provided:
5x + 8y = 51
x = y + 5
If we replace (1) with the value of x from (2), we get
5(y+5) + 7y = 46
5(y) + 5(5) + 7y = 46
5y + 25 + 7y = 46
12y = 46 -25
12y = 21
y = 1.75
Adding the value of y to (2) yields x = 1.75 + 5 = 6.75.
There were 6.75 small cars rented.
1.75 large cars total were rented.
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The value of a car can be represented by the equation V = 16,000(0.93)t, where V is the value of the car and t is the age of the car in years. What is the meaning of the number 0.93 in the equation?
As the age of the car increases by 1 year, the value of the car decreases by $ 93.
As the age of the car increases by 1 year, the value of the car decreases by 7%.
As the age of the car increases by 1 year, the value of the car decreases by $ 7.
As the age of the car increases by 1 year, the value of the car decreases by 93%.
As the age of the car increases by 1 year, the value of the car decreases by 7%. The correct option is B.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the value of a car can be represented by the equation V = 16,000(0.93)t, where V is the value of the car and t is the age of the car in years.
As the age of the car increases by 1 year, the value of the car decreases by 7%. The correct option is B.
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An architect is designing a home and needs to create a rectangular bedroom. The bedroom must be 425 ft2 and must be 8 ft longer than it is wide. What are the width and length of the bedroom?
The width of the bedroom is 17 feet. The length of the bedroom is 17 + 8 = 25 feet.
What is the area of the rectangle?
The area of the rectangle is length x breadth. The diagonals of the rectangle divide it into two equivalent right-angled triangles. Therefore, the area of the rectangle will be equal to the sum of the area of these two triangles.
Let w be the width of the bedroom and l be the length of the bedroom.
The width of the bedroom is 8 feet shorter than the length, so the length is w + 8.
The area of the bedroom is the product of its width and length, or w * (w + 8).
We can set up the equation 425 = w * (w + 8) and solve for w.
First, we can rewrite the equation as 425 = w^2 + 8w.
Then, we can complete the square by adding (8/2)^2 = 16 to both sides:
425 + 16 = w^2 + 8w + 16
441 = w^2 + 8w + 16
We can rewrite the left side of the equation as (w + 4)^2, which gives us:
(w + 4)^2 = 441
Taking the square root of both sides gives us:
w + 4 = 21
Subtracting 4 from both sides gives us:
w = 17
Therefore, the width of the bedroom is 17 feet. The length of the bedroom is 17 + 8 = 25 feet.
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1. A basketball player made 12 out of 15 free throws she attempted. She wants to know how many consecutive free throws she would have to make to raise the percent of successful free throws to 85%. (a) Write an equation to represent this situation. (b) Solve the equation. How many consecutive free throws would she have to make to raise her percent to 85%? Answer:
Basketball player have to make 5 successful consecutive throws to make to raise her percent to 85%.
What is percentage?Percentage is a part of the whole number. It is denoted by % sign.
1 %= 1/100.
Given that,
Basketball player makes 12 out of 15 free throws she attempted.
The percentage of successful throws = (12/15)x100 = 75%
Let n consecutive free throws she has to make to increase the percentage of successful throws to 85%,
Implies that,
(12+n)/ (15+n) = 85/100
(12+n)/ (15+n) = 17 /20
240 + 20n = 255 + 17n
3n = 15
n = 5
Basketball player have to make 5 successful consecutive throws to make to raise her percent to 85%.
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Solve for Input of Function Given Output
Given } h(x)=-3 x-5 solve for x when } h(x)=-2
Step-by-step explanation:
put the value of h(x) in the function like in the above figure.
Mariam has $520 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $311.60.
She buys 4 bicycle reflectors for $7.18 each and a pair of bike gloves for $19.94.
She plans to spend some or all of the money she has left to buy new biking outfits for $76.57 each.
What is the greatest number of outfits Mariam can buy with the money that's left over?
Answer: 2
Step-by-step explanation:
A large university accepts 70% of the students who apply. Of the students university, 25% actually enroll. If 20,000 students apply, how many enroll?
Answer:
350 enrolled
Step-by-step explanation:
.7 x 20000 = 1400
.25 x 1400 = 350
Answer:
3500
Step-by-step explanation:
20000 * 0.70 = 14000
14000 * 0.25 = 3500
someone please answer this question and give the right answer please!
The area of the rectangle is 4 (7-2) unit².
What is rectangular shape?A rectangle is a quadrilateral with four equal vertices and parallel sides of equal length.
Given, the sides of the rectangle are 4 and 7.
And in the diagram,
The rectangle overshadowed by the rectangle having the sides 4 and 2.
So, the sides of the shaded rectangle are 4 and (7-2).
So, the area of the rectangle
= length x width
= 4 x (7-2)
= 4 (7-2)
Therefore, the area is 4 (7-2) unit².
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