F= ((-4,-1),(-3,-1),(-2,-3),(3,0))G=((5,3),(4,-1),(-2,-4),(-4,-5)Find (f+g)(-2)
Answers
Given,
\(\begin{gathered} F=\mleft(-4,-1\mright),\mleft(-3,-1\mright),\mleft(-2,-3\mright),\mleft(3,0\mright) \\ G=\mleft((5,3),(4,-1),(-2,-4),(-4,-5)\mright) \end{gathered}\)Now, apply the given mapping
\(\begin{gathered} (f+g)(-2)=f(-2)+g(-2) \\ =-3-4 \\ =-7 \end{gathered}\)So,the required answer is,
\((f+g)(-2)=-7\)Related Questions
ASAP show work pleaseee for all of them. 20pst
Answers
Answer:
Answer is in picture
Step-by-step explanation:
Hope it is helpful...
Which of the following best describes a semi-regular tessellation?
A) An arrangement of repeating shapes
B) An arrangement of more than one repeating shape with no spaces or overlapping between shapes
C) An arrangement of one repeating shape with no spaces or overlapping between shapes
D) An arrangement of non-repeating shapes
Answers
An arrangement of more than one repeating shape with no spaces or overlapping between shapes is a semi-regular tessellation
Given data ,
Let the semi-regular tessellation be represented as A
Now , the value of A is
A semi-regular tessellation is a tiling of the plane by two or more regular polygons in such a way that every vertex has the same configuration of polygons in the same order
Therefore , an arrangement of more than one repeating shape with no spaces or overlapping between shapes
Hence , the semi-regular tessellation is solved
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The heights of the girls in Leila’s class to the nearest 1/2 inch are: 56 1/2,57,56 1/2,58,58,57 1/2,57 1/2,57,58 1/2, and57.Leila makes a dot plot of data. How many different heights will be included on the number line
Answers
If Leila makes a dot plot of the heights of the girls in her class to the nearest ¹/₂ inch, the number of different heights that will include on the number line is 5.
What is a dot plot?A dot plot is a data visualization tool that consists of data points plotted as dots on a graph with an x- and y-axis.
The number of dots plotted on each number line shows the frequency of the data group.
Height Frequency Cumulative Frequency
56¹/₂ 2 2
57 2 4
57¹/₂ 2 6
58 2 8
58¹/₂ 1 9
Thus, arranging the heights according to groups, the different heights on the number line can be classified into 5.
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A primary credit card holder has a current APR of 15.75%. What is the monthly periodic interest rate, rounded to the nearest hundredth of a percent?
O 15.75%
O 13.13%
O 1.31%
O 0.01%
Answers
the mοnthly periοdic interest rate, rοunded tο the nearest hundredth οf a percent is (C) 1.31%
What dοes mοney interest mean?Any lοans and bοrrοwings cοme with interest. the percentage οf a lοan balance that lenders use tο determine interest rates. Cοnsumers can accrue interest thrοugh lending mοney (via a bοnd οr depοsit certificate, fοr example), οr by making a depοsit intο a bank accοunt that pays interest.
We must divide its yearly percentage rate (APR) by 12 tο determine a mοnthly periοdic interest rate (the number οf mοnths in a year).
Hence, the periοdic interest rate fοr each mοnth is:
15.75% / 12 = 1.3125%
The result οf rοunding tο the clοsest hundredth οf such a percent is:
1.31%
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Solve for x leave your answer in simplest radical form
Answers
Answer:
X=11 trust me on my mom
If
R
=
{
x
|
x
>
0
}
and
S
=
{
x
|
x
<
3
}
, what is the number of integers in
R
∩
S
?
A. Zero
B. Two
C. Three
D. Four
Answers
As per the given data, the number of integers in R ∩ S is 2, and the correct answer is (B) Two.
In mathematics, the intersection of two sets is a set containing all elements that are members of both sets.
In symbols, the intersection of two sets A and B is denoted by A ∩ B, and it contains all elements that belong to both A and B.
The intersection of two sets contains only the elements that are present in both sets. In this case,
R ∩ S = {x | x > 0 and x < 3}
The integers that are present in this set are 1 and 2.
Therefore, the number of integers in R ∩ S is 2, and the correct answer is (B) Two.
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I need someone’s help please
Answers
Answer:
A
Step-by-step explanation:
the first one because it is equilivent 5/4 and that is greater than a half
based on the graph how many tiles are im figure 0
Answers
For figure {0}, the number of tiles will be equal to 2.
What is a mathematical function, equation and expression?Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function
Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators
Equation : A mathematical equation is used to equate two expressions.
Given is a graph as shown in the image.
The line passes through point -
(3, 8) and (4, 10)
So, the slope of the line will be -
m = (10 - 8)/(4 - 3)
m = 2
y = 2x + c
For the point (3, 8), we can write -
8 = 6 + c
c = 2
For figure {0}, the number of tiles will be equal to 2.
Therefore, for figure {0}, the number of tiles will be equal to 2.
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The vertices of triangle ABC are given: A (0;-1) B(12; -10) C(10;4)
Find:
a) the equation of the median and bisector drawn from vertex A;
b) the equation of the altitude from vertex B;
c) the point of intersection of the median and height;
d) the coordinates of the center of mass (the point of intersection of the medians).
Answers
verified
Verified by Toppr
Median bisects the line.
D≡(
2
−3+5
,
2
−9−8
)≡(1,
2
−17
)
E≡(−
2
1+5
,
2
6−8
)≡(2,−1)
F≡(−
2
1−3
,
2
6−9
)≡(−2,
2
−3
)
∴ equation of AD:(y−y
1
)=(
x
2
−x
1
y
2
−y
1
)
AD
(x−x
1
)
⇒(y−6)=
⎝
⎜
⎜
⎛
1+1
2
−17
−6
⎠
⎟
⎟
⎞
(x+1)⇒(y−6)=−
4
29
(x+1)
⇒
4
29
x+y−6+
4
29
=0
AD⇒29x+4y+5=0
equation of BE:(y+9)=(−
2+3
1+9
)
BE
(x+3)
⇒(y+9)=
5
8
(x+3)⇒5y+45=8x+24
BE⇒8x−5y−21=0
Equation of CF:(y+8)=
⎝
⎜
⎜
⎛
−2−5
−
2
3
+8
⎠
⎟
⎟
⎞
CF
(x−5)
⇒(y+8)=−
14
13
(x−5)⇒14y+112=−13x+65
CF:13x+14y+47=0
61 meters = _____ feet
I'LL GIVE BRAINLIEST!
Answers
Answer:
200.131234
Step-by-step explanation:
i need help with point slope form
Answers
The equation of this parallel line using point slope is y = 4x - 31.
What is point-slope form?The equation of a straight line that passes through a particular point and is inclined at a specific angle to the x-axis may be found using the point slope form. Every point on a line must satisfy the equation for the line in order for it to exist. This implies that a line is represented by a linear equation in two variables.
Given that the equation of a line is y = 4x - 2.
Here, we observe that the slope m = 4
Parallel lines have the same slope. So, the slope of the new line is:
m = 4
Given that points (x1, y1) = (5, -11) are also in the new parallel line.
Using the Point-Slope form we can write:
y - y1 = m (x - x1)
Substitute the value of x and y coordinates in the above equation:
y - (-11) = 4 (x - 5)
y + 11 = 4x - 20
y = 4x - 20 -11
y = 4x - 31
Hence, the equation of this parallel line using point slope is y = 4x - 31.
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What is the correct number form for “seven and eighty-three thousandths?”
7.083
7.83
7.803
7.830
Answers
Answer:
7.083
Step-by-step explanation:
well there's the ones place, tenths, hundredths, and thousandths. easy math, unless i'm stoopid and this is wrong :D
An experiment consists of spinning the spinner shown. All outcomes are equally likely. Find P(5). Express your answer as a fraction in simplest form
Answers
The probability of getting a 5 is 1/8, which is already in its simplest form.
What is Probability ?
Probability can be defined as ratio of number of favourable outcomes and total number of outcomes.
The spinner has 8 equal sections, numbered from 1 to 8. Since each outcome is equally likely, the probability of getting a 5 can be expressed as:
P(5) = (number of favorable outcomes) / (total number of possible outcomes)
There is only one section with the number 5, so the number of favorable outcomes is 1. The total number of possible outcomes is 8, since there are 8 sections on the spinner.
Therefore,
P(5) = 1/8
Therefore, the probability of getting a 5 is 1/8, which is already in its simplest form.
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Suppose you earn 2% cash back at grocery stores and 1% on all other purchases. If you spent $485.72 at the grocery store and $671.28 on all other purchases, how much would your cash back be?
Answers
Answer:
$16.43.
Step-by-step explanation:
At the grocery store, you spent $485.72. With 2% cashback, you would get 485.72 * 0.02 = 9.7144 dollars worth of cashback.
At other places, you spend $671.28. With 1% cashback, you would get 671.28 * 0.01 = 6.7128 dollars worth of cashback.
9.7144 + 6.7128 = 16.4272, which is about $16.43 of cashback.
Hope this helps!
The amount of cashback that you earned will be $16.42.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
Suppose you earn 2% cash back at grocery stores and 1% on all other purchases. If you spent $485.72 at the grocery store and $671.28 on all other purchases.
The total cashback is calculated as,
⇒ 0.02 x $485.72 + 0.01 x $671.28
⇒ $9.71 + $6.71
⇒ $16.42
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A $96.00 item is marked down by 25%
what is the new cost of the item?
round if needed
Answers
Answer:
$72.00
Step-by-step explanation:
Answer:
$72
Step-by-step explanation:
25% of $96 = \(\frac{25}{100}\) × \(\frac{96}{1}\) \(\frac{25}{100}\) × \(\frac{96}{1}\) = \(\frac{2400}{100}\) \(\frac{2400}{100} = 24\) $96 - $24 = $72I hope this helps!
i will give brainiest if correct
Answers
Answer:
Answer is 72
Step-by-step explanation:
Determine whether the given relation is an implicit solution to the given differential equation. Assume that the relationship does define y implicitly as a function of x and use implicit differentiation.
y - ln y = x^2 + 1, dy/dx = 2xy/y - 1
x^2 + y^2 = 4, dy/dx = x/y
e^xy + y = x - 1, dy/dx = e^-xy - y/e^-xy + x
Answers
Answer:
dont know
Step-by-step explanation:
Marion has 4 cards. Jake has 4 cards, and Sam has 3 cards.can you write a multiplication equation to find out how many they have in all
Answers
A triangle has one 40° angle and two 70° angles. Is this triangle equilateral?
Answers
Answer:
No
Step-by-step explanation:
All angles have to be =
-3/4 = x/26 need a explanation please
Answers
Answer:
x = 19.5
Step-by-step explanation:
\(\frac{-3}{4} = \frac{x}{26}\)
cross multiply
-3(26) = 4(x)
open the parenthesis
-78 = 4x
divide both sides of the equation by 4
-78/4 = x
-19.5 = x
Question 2 The current report quantitatively analyzes three variables - load factors, revenue passenger mile, and available seat miles for American Airlines. The data retrieved for the analysis was extracted from the Bureau of Transportation Statistics, focusing on domestic flights from January 2006 to December 2012. The quantitative analysis focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. Table 2: Summary Statistics of American Airlines (Domestic) Revenue Passenger Miles Mean 6,624,897 Median 6,522,230 Mode NONE Minimum 5,208,159 Maximum 8,277,155 Standard Dev 720,158.571 Variance 518,628,367,282.42 Load Factors Mean 82.934 Median 83.355 Mode 84.56 Minimum 74.91 Maximum 89.94 Standard Dev 3.972 Variance 15.762 Revenue Passenger Miles 9000000 8000000 7000000 6000000 5000000 4000000 3000000 2000000 1000000 0 0 10 American Airlines (Domestic) Performance 20 30 ● Revenue Passenger Miles 40 50 Load Factors Available Seat Miles 60 Mean 7,984,735 Median 7,753,372 Mode NONE Minimum 6,734,620 Maximum 9,424,489 Standard Dev 744,469.8849 Variance 554,235,409,510.06 70 80 Linear (Revenue Passenger Miles) 90 100 Figure 1: American Airlines (Domestic) Performance Write a report based on the given data. Please include additional tests such as hypothesis testing, skewness, z statistic, level of significance, and other necessary tests, as well as a discussion of the results obtained.
Answers
The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.
The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.
Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).
The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.
The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.
The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).
Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
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Which equation can be used to solve the problem below?
If four times a number is increased by 15, the result is three less than six times the number. Find the number.
Question 7 options:
4 (x + 15) = 6x -3
4x + 15 = 6(x-3)
4x + 15 = 6x -3
4x + 15 = 3-6x
Answers
Answer:
4x + 15 = 6x - 3
Step-by-step explanation:
Four times an unknown number is 4x, add 15 like it says, then it says three less so it would be - 3 and then it says than six times the [unknown] number, which remains being x
hope this helps!
Another find the slope of the given line please see attached photo
Answers
Answer:
4
Step-by-step explanation:
It is 4 because the point rises 4 units up from the graph and runs 1 unit to the right which is 4/1 = 4.
Let (c) t be the number of customers In any restaurant t hours after 8 AM . Explain the meaning of each statement.c(n)=29
Answers
Let t = n
c(n) = 29 means that after n hours after 8AM, the number of customers in a restaurant is 29.
need help with math problem if do 5 stars
Answers
Answer:
the answer is $41 the cost of beans
-b-
Note: Figure is not drawn to scale.
If a = 5m, b = 8 m, c = 8 m, and d = 2 m, what is the perimeter of the swimming pool?
OA.
21 m
OB.
32 m
29 m
34 m
OC.
OD.
6 of 10 Answered
Reset
Submit
Session Timer: 78:05
O Search
C
Answers
After considering the given data we conclude that the perimeter of the given swimming pool is 23 meters which is Option A.
The perimeter of a rectangle is evaluated by adding up all its sides. For the given case, we possess a rectangle with sides
a = 5m,
b = 8m,
c = 8m and
d = 2m.
Perimeter regarding the swimming pool is evaluated as
a + b + c + d
= 5m + 8m + 8m + 2m
= 23 meters
Hence the option regarding the question which satisfy the perimeter is Option A.
Perimeter the counted measurement regarding the distance around the outside of a two-dimensional shape. In this system the length of the outline or boundary of any two-dimensional geometric shape is defined as perimeter .
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The complete question is
If a = 5m, b = 8 m, c = 8 m, and d = 2 m, what is the perimeter of the swimming pool?
A.23 m
B. 32 m
C.29 m
D.34 m
write a growth/decay function to model the situation A car was purchased in 2000 for $22,500. It has depreciated at a rate of 5% per year. What was the value of the car in 2011
Answers
If the price of the car is $22,500 in 2000. Then the value of the car in 2011 with a decay of 5% every year is $12,798.
What is an exponent?Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.
A car was purchased in 2000 for $22,500.
It has depreciated at a rate of 5% per year.
Then the price of the car in 2011 will be
The decay function is modeled as
\(\rm A = P(1-r)^t\)
The number of years has been passed is 11.
Then we have
\(\rm A = 22,500(1-0.05)^{11}\\\\A = \$ \ 12798\)
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On the dance decoration committee, there are 6 seniors, 4 juniors, and 5 sophomores. Of these learners, 4 seniors, 3 juniors, and 3 sophomores are male. One learner is picked at random to present the decoration plans to the principal.
What is the probability that the learner is a senior or a male?
Answers
Using it's concept, it is found that there is a 0.8 = 80% probability that the learner is a senior or a male.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there is a total of 6 + 4 + 5 = 15 students. Of those, there are 6 seniors, and 6 male non-seniors, hence there are 12 desired outcomes, and the probability is given by:
p = 12/15 = 0.8 = 80%.
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An alien blob started with a mass of 4 kg and is doubling in size every day. How large will the blob be after 2
weeks? y = a(b)
Answers
Answer:
65,536 kg
Step-by-step explanation:
10% of what number is 7?
Answers
Answer:
It is probably 70 I am 90% sure.
Step-by-step explanation: