Answer:
y = 5
Step-by-step explanation:
the line is horizontal and has always y = 5
find the equation of the line through point (4,-7) and parallel to y = -2/3x + 3/2.
Answer:
y = -2/3 x - 13/3
Step-by-step explanation:
y = -2/3 x + 3/2
y = mx + b
m = -2/3
The slope of the given line is -2/3. Parallel lines have equal slopes, so our line also has slope -2/3.
m = -2/3
y = mx + b
y = -2/3 x + b
Substitute the given point for x and y and solve for b.
-7 = -2/3 (4) + b
-21/3 = -8/3 + b
b = -13/3
Answer: y = -2/3 x - 13/3
please explain how you get your answer!! Thanks :) questions below:
What is the simplified expression for 4^-3 x 3^4 x 4^2/3^5 x 4^-2
A. 3/4
B. 4/3
C. 4^2/3
D. 3^3/4
Step-by-step explanation:
4^2/3
but I got 4^-3/3
hope help ful
Convert the rectangular coordinates (5,−5√3) to polar form. Let r>0 and 0≤θ<2π.
Enter your answer by filling in the boxes. Enter coordinates as simplifed fractions or radicals in simplest form.
( , )
Answer:
(10, 5π/3)
Step-by-step explanation:
To convert rectangular coordinates (5, -5√3) to polar form, we can use the following formulas:
r = √(x^2 + y^2)
θ = arctan(y/x)
Substituting the given values, we get:
r = √(5^2 + (-5√3)^2) = √(25 + 75) = √100 = 10
θ = arctan((-5√3)/5) = arctan(-√3) = -π/3
Note that the value of θ is in the fourth quadrant, which corresponds to a negative angle. However, we need to express the angle θ in the range 0 ≤ θ < 2π. To do this, we can add 2π to the angle if it is negative:
θ = -π/3 + 2π = (5π/3)
Therefore, the rectangular coordinates (5, -5√3) in polar form are (10, 5π/3).
what is 2*38 i need help
Answer:
76
Step-by-step explanation:
38 multiplied by 2 = 76
Answer:
76
Step-by-step explanation:
2*38 is as follows
8*2=16
2*30=60
now simply put, 16+60=76
What is the 20% of 40% of 1250?
can you let me know how pls
Step-by-step explanation:
First, 40 percent of 1250 = 750
20 percent of 750 = 600
I don't know if this is correct I just did what my mind said sooo
CAN SOMEONE PLEASE SOLVE THIS!!!!!!!!!!! NEED HELP!!!!!!!!!!!!!!!!!!!! PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
A and E are correct
Step-by-step explanation:
lines DE and FG are congruent and so is angle DQE and GQF
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answer:
2 potatoes
Step-by-step explanation:
10 ×1/5 =2×1=2
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
The Venn diagram shows the number of customers who have purchased different types of pets from a pet store, where C represents customers who have purchased cats, D represents customers who have purchased dogs, and F represents customers who have purchased fish.
Circles C, D, and F overlap. Circle C contains 15, circle D contains 21, and circle F contains 12. The overlap of C and F contains 2, the overlap of F and D contains 0, and the overlap of D and C contains 3. The overlap of all 3 circles contains 1. Number 14 is outside of the circles.
How many people are in the set C ∩ D?
4
6
36
38
The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.
The correct answer is 4.
To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.
Given information:
- Circle C (cats): 15
- Circle D (dogs): 21
- Circle F (fish): 12
- Overlap of C and F: 2
- Overlap of F and D: 0
- Overlap of D and C: 3
- Overlap of all 3 circles: 1
- Number outside of circles: 14
To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.
From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.
To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.
Therefore, from the options given correct one is 4.
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Answer: 4
Step-by-step explanation:
trust me bro
(x + 3) + (4x +7) ➗ 2 = 15
find c
The solution is, the value of x = 4.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
given that,
(x + 3) + (4x +7) ➗ 2 = 15
⇒5x+10=15*2
⇒5x+10= 30
⇒5x=20
⇒x=4
Hence, The solution is, the value of x = 4.
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in a class of 50 students, 25 like oranges, 22 like bananas, 4 like oranges and bananas, how many like niether oranges nor bananas
A. 43
B. 7
C. 18
D. 21
Answer:
7
Step-by-step explanation:
The number of students who like neither oranges nor bananas will be 7 thus, option (B) is correct.
What is a set?A set is a combination of specific quantities in which the meaning of each variable must be the same.
For example {1,2,3,4,5,6...} is a set of natural numbers in which each variable is representing a natural number so the overall meaning is the same among all.
Another example could be a set of whole numbers like that.
As per the given,
Total number of students = 50
Number of students like oranges = 25
Number of students who like bananas = 4
The total number of students who like both oranges and bananas is 4.
22 + 25 = 47 (this, a total of 47 students of which 4 like both oranges and bananas)
47 - 4 = 43
50 - 43 = 7 students who don't like bananas or oranges.
Hence "The number of students who like neither oranges nor bananas will be 7".
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what is the answers to these questions?
a=?
f(a)=?
f(4.5)=?
under? or over?
The all filled values according to the graph are: a = 4, f(a) = 3a - 5, f(4) = 7, f (4.5) = 8.5
Define the term linear graph?A linear equation, which is an equation that describes a straight line, is shown graphically on a graph called a linear graph. The relationship between two variables, typically depicted on the x and y axes, is proportional and follows a straight line in this type of graph. In science and mathematics, linear graphs are frequently utilized for data display, scenario modeling, and problem solving. Understanding the relationship between variables, predicting outcomes, and making decisions based on data analysis are all made easier with their assistance.
here, y = 3x - 5 and also x = a
So, x = 4, then a = 4
f(a) = 3a - 5
f(4) = 3×4 - 5
f(4) = 7
f (4.5) = 3×4.5 - 5
f (4.5) = 8.5
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help me with this problem
a) The slope of the linear function is given as follows: m = 40, meaning that each day, the balance of the account increases by $40.
b) The function is given as follows:
Slope-intercept: y = 40x + 600.Point-slope: y - 600 = 40x.Standard: 40x - y = -600.c) The function notation is given as follows: g(x) = 40x + 600.
d) The balance after 7 days is given as follows: $880.
How to obtain the equations?From the table, when x increases by 3, g(x) increases by 120, hence the slope m is given as follows:
m = 120/3
m = 40.
Then the slope-intercept notation of the function is given as follows:
y = 40x + 600.
The remaining notations are:
Point-slope: y - 600 = 40x.Standard: 40x - y = -600.Function: g(x) = 40x + 600.Hence the balance after 7 days is given as follows:
g(7) = 40(7) + 600
g(7) = $880.
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Lunch break: In a recent survey of 655 working Americans ages 25-34, the average weekly amount spent on lunch was $43.5
with standard deviation $2.77. The weekly amounts are approximately bell-shaped.
Part 1 of 3
(a) Estimate the percentage of amounts that are between $35.26 and $51.88.
Almost all
of the amounts fall between $35.26 and $51.88.
Part 2 of 3
(b) Estimate the percentage of amounts that are between $38.03 and $49.11.
Approximately 95%
of the amounts fall between $38.03 and $49.11.
Part: 2/3
Part 3 of 3
(c) Between what two values will approximately 68% of the amounts be?
Approximately 68% of the amounts fall between
and S
Using the Empirical Rule, it is found that:
a) Approximately 99.7% of the amounts are between $35.26 and $51.88.b) Approximately 95% of the amounts are between $38.03 and $49.11.c) Approximately 68% of the amounts fall between $40.73 and $46.27.------------
The Empirical Rule states that, in a bell-shaped distribution:
Approximately 68% of the measures are within 1 standard deviation of the mean. Approximately 95% of the measures are within 2 standard deviations of the mean. Approximately 99.7% of the measures are within 3 standard deviations of the mean.-----------
Item a:
\(43.5 - 3(2.77) = 35.26\)
\(43.5 + 3(2.77) = 51.88\)
Within 3 standard deviations of the mean, thus, approximately 99.7%.
-----------
Item b:
\(43.5 - 2(2.77) = 38.03\)
\(43.5 + 2(2.77) = 49.11\)
Within 2 standard deviations of the mean, thus, approximately 95%.
-----------
Item c:
68% is within 1 standard deviation of the mean, so:\(43.5 - 2.77 = 40.73\)
\(43.5 + 2.77 = 46.27\)
Approximately 68% of the amounts fall between $40.73 and $46.27.
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It is often used for predicting results in statistics. This rule could be used as an estimate of the consequence of upcoming data to also be collected but also analyzed after determining a confidence interval and before accumulating precise data.
In a clock-shaped distribution, the empirical rule states:
About \(\bold{68\%}\) of the measures are within 1 standard deviation of the mean.About \(\bold{95\%}\) of the measurements are within 2 standard deviations.About \(\bold{99.7\%}\) of the measures are subject to 3 standard deviations.Point a:
\(\to \bold{43.5-3(2.77)= 43.5-8.31= 35.26}\\\\\to \bold{43.5+3(2.77)=43.5+8.31= 51.88}\)
Therefore, approximately \(\bold{99.7\%}\) within 3 standard deviations from the mean.
Point b:
\(\to \bold{43.5-2(2.77)= 43.5-5.54= 38.03}\\\\\to \bold{43.5+2(2.77)= 43.5+ 5.54= 49.11}\\\\\)
Therefore, approximately \(\bold{95\%}\) in 2 standard deviations from the mean.
Point c:
In 1 standard deviation of the mean, \(\bold{68\%}\)is as follows:
\(\to \bold{43.5-2.77= 40.73}\\\\\to \bold{43.5+2.77= 46.27}\)
About \(\bold{68\%}\) of the sums decrease from \(\bold{\$40.73 \ and \ \$46.27}\).
So, the final answer are:
The amount between \(\bold{\$35.26 \ and\ \$51.88}\) makes up approximately \(\bold{99.7\%}\) of the amounts.The amount among \(\bold{\$ 38.03\ and\ \$49.11}\) bills amounts to approximately \(\bold{95\%}.\)About \(\bold{68\%}\) of the amounts are \(\bold{\$40.73 \ and \ \$46.27}\).Learn more:
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May I Know This answer
Answer:
10)3.14
11)7,21,36
12)-1,4,9,14,19
Pie chart values
20%. Rice
15%. Others
Pulses. 30%
maize 20%
wheat 15%
Percentage distribution of products in exports of the
given countries.
(a) What is the value (in $ billion) of pulses export
by US? on a billion
(6)
What is the ratio of wheat export of UK to
maize export of IND? 4:10
(e) By what percentage is the maize export of
JAP more than the rice export of AUS?
(d) If the export of AUS is doubled and that of US is
halved but percentage distribution of products of
export remains the same, then find the value of
Export of Rice by US
Export of Pulses by AUS
In USSR, find the ratio of maize export to the
rice export.
a.) The value of pulses exported by US in billion would be=30 billion.
b.) The ratio of wheat export of UK to maize export of IND would be= 6:5
How to calculate the value of pulses exported?For question a.)
To calculate the pulses, the following steps should be taken as follows:
From the bar chart, the value of pulses in billions = 30 billions.
For question b.)
The ratio of wheat export at UK and maize export at IND would be calculated as follows:
The quantity of wheat export at UK = 24
The quantity of maize export at IND = 20
Therefore, the ratio of wheat to maize = 24:20= 6:5
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7uuuuuuu.................
Answer:
ah yes 7 uuu lol
Step-by-step explanation:
Part 1: 12% annual interest on 132000 for 8 days
Part 2: 12% annual interest on 106,750 for 20 days.
If it helps, it's a 5 year note. Assuming 365 days in a year.
The interest for Part 1 is approximately $385.10.
The interest for Part 2 is approximately $709.31.
To calculate the interest for Part 1 and Part 2The formula is as follows:
Interest is calculated as follows: Principal * Rate * Time
Where
Principal represents the starting sumThe interest rate is rateTime measures length in years.Part 1:
$132,000 is the principal.
(Decimal) Rate = 12% = 0.12
Time = 8 days/365 days.
How much interest is there in Part 1?
Interest is calculated as follows : $132,000 * 0.12 * (8/365) = $385.10
Therefore, the interest for Part 1 is approximately $385.10.
Part 2:
$106,750 as the principal
(Decimal) Rate = 12% = 0.12
Time = 20 days / 365 days.
How much interest will there be in Part 2
Interest is calculated as follows : $106,750 * 0.12 * (20/365) = $709.31
Therefore, the interest for Part 2 is approximately $709.31.
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Brooklyn is going to invest in an account paying an interest rate of 3.5% compounded continuously. How much would Brooklyn need to invest, to the nearest ten dollars, for the value of the account to reach $64o in 9 years?
Brooklyn needs to invest $432.43, rounded to the nearest ten dollars.
To determine how much Brooklyn needs to invest in an account that pays a continuously compounded interest rate, we can use the formula:
A = \(Pe^(^r^t^)\)
where A is the future value of the account, P is the principal investment, e is the mathematical constant approximately equal to 2.71828, r is the interest rate, and t is the time in years.
In this case, we want the future value of the account to be $640, the interest rate is 3.5% (or 0.035 as a decimal), and the time is 9 years. We can substitute these values into the formula and solve for P:
640 = \(Pe^(^0^.^0^3^5^*^9^)\)
640 = Pe^0.315
P =\(640/e^0^.^3^1^5\)
P = 432.43
Therefore, to have a future value of $640 in 9 years with a continuously compounded interest rate of 3.5%.
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How many distinct proper subsets are there of the set N={9,41,64,12,38,59,23}
Given:
N={9,41,64,12,38,59,23}
To find the number of distinct proper subsets, use the formula below:
\(2^{n\text{ }}-\text{ 1}\)Where n is the number of values in the set.
Here, n = 7
The number of distinct proper subsets are:
\(\begin{gathered} 2^7\text{ - 1 } \\ =\text{ (2}\ast2\ast2\ast2\ast2\ast2\ast2)-1 \\ =\text{ 128 - 1} \\ =\text{ 127} \end{gathered}\)Therefore, there are 127 distinct proper subsets
line g has a slope of 9/5. line h is perpendicular to g. what is the slop of line h?
Answer:
-5/9
Step-by-step explanation:
Note. If the line is parallel, then the slope is shared. If the line is perpendicular (directly opposite), it means to flip the sign as well as the fraction.
The slope of line g is 9/5. This means that the slope of line h, (which is perpendicular to line g), would be the opposite, or -5/9
-5/9 is your answer.
~
HELP HELP MATH IS DIFFICULT
Answer:
Belinda is correct
Step-by-step explanation:
A is 115°
180-45 = 135
135÷ 2=67.5
100-67.5 = 32.5
32.5*2 =65
180-65= 115°
Does this table represent a function?why or why not
The answer is C, because there are two different numbers correlated to the same number on the Y side. The table does not represent a function.
The table is not a function because: A. one x-value corresponds to two different y-values.
How to Identify a Table that Represents a Function?If each x-value on a table of values is assigned to only one y-value, that table represents a function. If an x-value corresponds to more than one y-value, the table is not a function.
Thus, the x-value, 5, corresponds to two y-values, 2 and 5. Therefore the table does not represent a function.
The answer is: A.
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the length of a rectangle exceeds the width by 14 cm the perimeter of the rectangle is 160 cm find the Length and width of the rectangle
Answer:
width 14 perimeter 160 (l=66 cm)
40% of what number is 18?
Answer:
45
40 percent (calculated percentage %) of what number equals 18? Answer: 45.
Answer:
45
Step-by-step explanation:
Britney got a summer job at a movie theater cleaning the aisles after each film. This Sunday, 8 movies
are scheduled to show, 5 of which feature a teenager as the one main protagonist.
If Britney is randomly assigned to clean up after 4 movies, what is the probability that all of them
feature a teenager as the one main protagonist?
Write your answer as a decimal rounded to four decimal places.
The probability of this occurring is around 0.0714.
In order to determine the likelihood that an adolescent would play the lead role in each of Britney's four films, we must take into account both the total number of possible outcomes and the number of favourable possibilities.
There are 8 films scheduled in total.
Five films have had a teenager as the primary character.
Calculating the ratio of the number of favourable outcomes—all four films with teenagers—to the entire number of possible outcomes—any four films—will help us determine the probability.
The combination formula, sometimes referred to as "n choose r," shows how many different methods there are to choose 4 films from the available 8 options:
\(C(n, r) = n! / (r! * (n - r)!)\)
In this case, we want to select 4 movies out of the 5 movies featuring a teenager:
\(C(5, 4) = 5! / (4! * (5 - 4)!) = 5\)
The total number of ways to select any 4 movies out of the 8 total movies is:
\(C(8, 4) = 8! / (4! * (8 - 4)!) = 70\)
Therefore, the likelihood that a teenager will play the lead role in each of the four films that Britney cleans up after is:
Probability is calculated as follows: 5 / 70 (rounded to four decimal places) = 0.0714 (Number of favourable outcomes / Total number of probable outcomes).
Therefore, the chance is around 0.0714.
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Solve the problems. Show your work.
7
1. Mr. Nguyen had 7/8
pint of water in his water bottle. Then, he drank 2/3
pint. How much water is left in the bottle?
Answer:
7/8 - 2/3 = 5/8 pint of water left in the bottle.
Find slope of line please no links
Answer:
Step-by-step explanation:
Using
Point A: x= 1 and y=3
And point B: x=-2 and y=-6
use equation of slope and substitute the values
Slope= YB-YA/Xb-Xa
= -6-3/-2-1
=3
assuming an interest rate of 5.4 percent, what is the value of the following cash flows four years from today? year cash flow 1 $ 3,000 2 4,040 3 5,885 4 7,975 multiple choice $23,120.48 $21,291.46 $22,178.61 $22,609.26 $23,631.70
The value of the cash flows four years from today is $22,609.26.
The value of a set of cash flows can be calculated using the present value of an annuity formula. This formula takes into account the time value of money, which states that money has a different value at different points in time due to the opportunity cost of the money. In other words, the money you have today is more valuable than the money you will have in the future.
The present value of an annuity formula is PV = CF / (1 + r)^n, where PV is the present value, CF is the cash flow, r is the interest rate, and n is the number of periods. In this example, the cash flows are $3,000, $4,040, $5,885, and $7,975, the interest rate is 5.4%, and the number of periods is 4. Plugging these numbers into the formula, the present value is $22,609.26. This is the value of the cash flows four years from today.
The value of the cash flows four years from today is $22,609.26.
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The student council raised $2,790 during its annual fundraiser. The money was shared equally among the Events Committee, the Sports Committee, and the Sunshine Committee. a. The Sports Committee wants to use its share of the money to purchase t-shirts. If each t-shirt costs $12, what is the greatest number of t-shirts the Sports Committee can purchase? The greatest number of t-shirts that the Sports Committee can purchase is .
Answer:
The greatest number of t-shirts that the Sports Committee can purchase is 232.
Step-by-step explanation:
The student council raised $2,790 during its annual fundraiser.
Each t-shirt costs $12.
The total cost of buying x t-shirts is given by:
\(T(x) = 12x\)
What is the greatest number of t-shirts the Sports Committee can purchase?
The total cost has to be lesser, or equal, to 2790. So
\(T(x) \leq 2790\)
\(12x \leq 2790\)
\(x \leq \frac{2790}{12}\)
\(x \leq 232.5\)
Since you cant buy half a shirt.
The greatest number of t-shirts that the Sports Committee can purchase is 232.
The graph below shows triangle A and triangle B. The side lengths of triangle A are proportional to the side lengths of triangle B, and the corresponding angle measures of the two triangles are equal. image b63beb85ff8941fb976339f638c35c47 Which statement BEST describes the relationship between triangle A and triangle B? A The triangles are similar but not congruent. B The triangles are congruent but not similar. C The triangles are both similar and congruent. D The triangles are neither similar nor congruent.
Answer:A.The triangles are similar but not congruent
Step-by-step explanation:
In a congruent traingle:
the both triangles are same in shape and size
There are five theorems to see if the triangles are congruent
and neither particularly applies here
sss: the sides are not equal
as none of the sides are equal, then despite the angles, congruence is not possible
However it is evident that one of the triangles is proportionally bigger than the other but similar. Hence A is correct.
Step-by-step explanation: