Answers
The angle θ is ∠P
Trigonometric Ratios:A branch of mathematics called trigonometry in geometry deals with the angles and sides of a right triangle.
There are six trigonometric ratios in trigonometry namely sin, cos, tan, cot, cosec, and sec.
In a right-angled triangle,
Formulas of trigonometric ratios are given below
Sin θ = Opposite Side /Hypotenuse
Cos θ = Adjacent Side /Hypotenuse
Tan θ = Opposite Side/Adjacent
By the trigonometric ratios
tan = opposite side/Adjacent side
Given tan θ = 4/3 = QR/PQ
[Here QR is opposite to the angle P ]
This means 'θ' is taken from ∠P
Therefore,
The angle θ is ∠P
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Answer:
angle p
Step-by-step explanation:
just did the test
Related Questions
PLEASE ANSWERE ASAP
If BC = 16.7 ft, what is AY?
Answers
Answer:
Since YA=AX, XB=BZ, ZC=CY, it follows that A, B and C are the midpoints of the sides TX, XZ, ZY. AB, BC, AC are parallel to the sides and equal to their half. In fact, AB = YC=ZC. Therefore BC=AY.)
Good luck;)
Step-by-step explanation:
Find the solution of this system of equations 6x+2y=4 -5x+8y=45
Answers
Answer:
We can solve this problem using the elimination method, and in the elimination method we need to change equations so that one of the variables (either x or y) is eliminated. to do this, we can multiply one or both of the equations by constants so that the coefficients of one of the variables becomes equal so we can eliminate it from the equation. This will allow us to add the equations together and eliminate that variable.
For example, we could multiply the first equation by -5 and the second equation by 6, to get:
-30x + 10y = -20
-30x + 48y = 270
Then, we can add these equations together to eliminate the x variable:
-30x + 10y = -20
-30x + 48y = 270
-60x + 58y = 250
We can then solve for y by dividing both sides of the equation by 58:
y = 250 / 58
y = approximately 4.31
Once we have the value of y, we can substitute it back into one of the original equations to solve for x. for example, if we substitute it into the first equation, we get:
6x + 2 * 4.31 = 4
6x = 4 - 8.62
6x = -4.62
x = -0.77
Therefore, the solution to the system of equations is x = -0.77 and y = 4.31.
Brainliest would be appreciated if this answer helped you :)
A student has started a lawn care business. He charges $15 per hour to mow lawns and $20 per
hour for gardening. Because he is still in school, he is only allowed to work for at most 20 hours per
week. His goal is to make at least $300 per week.
1. Create a system of equations or inequalities that models the situation. Define the variable you use
PLEASE I CANT FAIL MY FINAL
Answers
Answer:
idrk i would at least need how many hours he gardens and how many hours he mows the lawn, for just mowing the lawn he would need to do that for 20 hours completely, for gardening he would need to work 15 hours.
Step-by-step explanation: yaaa
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 69 inches and standard deviation 6 inches. If a random sample of fifteen 18-year-old men is selected, what is the probability that the mean height x is between 68 and 70 inches? (Round your answer to four decimal places.)
Answers
The probability that the mean height x is between 68 and 70 inches is found as 37.28%.
What is meant by the term z score?The z-score effectively represents the standardized distance in units of "number standard deviations" between the raw score (procured from a population assuming a normal distribution) as well as the population mean.The z-score is written as follows:
z = (x - μ)/σ
In which,
x = between 68 and 70 inches.
μ = mean 69 inches
σ = standard deviation 6 inches
Put the values in the formula,
Probability that the mean height x is between 68 and 70 inches
P(68 < x < 70) = (68 - 69 / 6) < z < (70 - 69 / 6)
P(68 < x < 70) = (-0.16) < z < (0.16)
P(68 < x < 70) = 0.4364 - 0.0636
P(68 < x < 70) = 0.3728
P(68 < x < 70) = 37.28%
Thus, the probability that the mean height x is between 68 and 70 inches is found as 37.28%.
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Let X and Y be the random variables that count the number of heads and the number of tails that come up when two fair coins are flipped. Click and drag statements to show that X and Y are not independent. Therefore, X and Y are not independent. Therefore, X and Y are not independentHowever, for vi = 1 and 7 = 1. we have p.X-1 and Y-1) -- while p(X=1) y (X=1) = (1/2) : (1/2) = 1However, for r = 2 and 3 = 2. we have p(X= 2 and Y = 2) = 0 because X + Y must always be 2. while p(x = 2). (Y = 2)=6X) 16 = 2 1.1 44 X and Y are independent if p(.X = 1, and Y =")=(X=?:)p(Y = 13) for all real mumbers and r. X and Y are independent if p(X = 1 and Y = 1)) = P(X=ri)+ p(Y =r2) for all real numbers r2, and r2;.
Answers
The random variables that count the number of heads and the number of tails that come up when two fair coins are flipped .
Given :
Let X and Y be the random variables that count the number of heads and the number of tails that come up when two fair coins are flipped. Click and drag statements to show that X and Y are not independent. Therefore, X and Y are not independent .
Although there are lots of other ways to show
that they’re independent, it’s enough to show that
P ( XY ) = P ( X ) P ( Y ). First note that P ( X ) and
P ( Y ) are both 1. Next to compute P ( XY ). With
P ( XY ) = 1/4 * 0 + 1/2 * 1 + 1/4 * 0
= 1/2
therefore X and Y are not independent random variables
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I need help with my math homework
Answers
Answer:
Read explanation :)
Step-by-step explanation:
Activity 1: When it says direction it refers to the tiles going horizontal and vertical for example the 4 and 9 going vetical to make vertical you must first add 4 + 9 which equals 13 then add a 2 under the 9 so it equals 15. And for 8 and 4 horizontal you must add 8 + 4 which equals 12 so add a three in between the 8 and 4 and for the 7 there is a two on the right of it so add 7 + 2 to equal 9 then add 6 to equal 15 then add a 1 in between the 8 and the 6 to equal 15 and add the 5 in the middle.
Activity 2: On the addition table on the left side of the table the number is the number you add to the number on top for example: the 2 at the top of the table plus the 6 on the same vertical line going down so it would be 2 + 6 which equals 8 as it tells you the answer and for 7 on the left side of the table and 3 at the top of the table with the vertical line would be 7 + 3 which equals 10.
Your Welcome Hope This Helps You.
line is perpendicular to y=9 and goes thru (1,-1)
Answers
Answer:
x = 1
Step-by-step explanation:
y = 9 is a horizontal line. It intersects the y axis at (0,9) and for all value s of x, y = 9.
Therefore a line perpendicular to this line will be of the form x = k where k is some constant. It means that for all values of y, the x value is constant. The y value is irrelevant
Since the line passes through (1,-1), ie through x = 1, y = -1, the equation of the line is x = 1
if ride cast birr 50 to pick up and 10 birr per km how much you go with birr1350
Answers
The distance the ride will go for birr 1350 is 130 kilometres.
How to find the distance the ride can go base on the amount?The ride cost birr 50 to pick up and 10 birr per km. The distance you can go with birr 1350 can be calculated as follows;
Let's use equation to represent the total amount spent on the distance covered.
Therefore,
let
x = total distance travelled in kilometresy = total amount in birrHence,
y = 50 + 10x
Therefore,
where
y = 1350
y = 50 + 10x
1350 = 50 + 10x
1350 - 50 = 10x
1300 = 10x
divide both sides by 10
x = 1300 / 10
x = 130 km
Therefore, the ride will go 130 km.
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To cater a holiday banquet, Food Service LLC agrees to buy one hundred pumpkin pies from Great Desserts Inc. To be enforceable, the agreement must be in writing if the pies cost at least
$500
Answers
In order to cater a holiday banquet, food service LLC agrees to buy one hundred pumpkin pies from great desserts inc. to be enforceable, the agreement must be in writing if the pies cost at least $500.
What is an Agreement?
This refers to the legally binding contract that exists between two or more entities where the terms of the contract have been drawn up and the terms have been agreed upon by all parties involved, subject to certain conditions before it can be enforceable.
Hence, we can see that in order to cater a holiday banquet, food service LLC agrees to buy one hundred pumpkin pies and because they are a limited liability company, there needs to be a minimum threshold and this can be done, if the cost of the pies is at least $500.
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assume that we have a single-cycle implementation of a processor, which has a clock cycle of 14 ns. suppose that we split this single-cycle processor to a 5-stage pipelined processor where the times for each of t
Answers
The approximate speed-up ratio between pipelined and non-pipelined system to execute 100 instructions is 4.03
The term ratio in math defines as an ordered pair of numbers a and b, written a / b where b does not equal 0.
Here we have given that
And we need to determine the approximate speed-up ratio between pipelined and non-pipelined system to execute 100 instructions.
While we looking into the given question we have identified the following values,
=> Number of pipeline segments = stages in pipeline,
=> n = 5
Here we know that,
=> Clock cycle time per operation = clock cycle per stage = 14 ns
And the number of instructions = 100
Here the formula to calculate the startup is written as,
=> T[without pipeline] = no. of instructions × stages in pipeline × clock cycle per stage
=> 100 × 5 × 14
=> T[with pipeline] = (time for pipelined execution without stalls) + (overhead due to stalls)
=> (5 + 99) × 20 + 20 × 20 = 124 × 20
Therefore, the startup is
=> [500 x 14] / [124 x 14]
=> 4.03
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please helppp.
Find the function that is finally graphed after the following transformations are applied to the graph of y=√x in the order listed.
(1) Vertical stretch by a factor of
(2) Shift up 1 unit
(3) Shift left 5 units
Y= ????
Answers
The final function after the transformations are applied to the graph of y =√x is y = 2√(x - 5) +1.
What is transformation?
A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
Rule of transformation:
g(x) = c f(x+a) + b
If c > 1, then f(x) vertically starched by c factor. If 0< c < 1, then f(x) vertically compressed by c factor.
If a>0, then f(x) is shifted horizontally a unit right side. If a<0, then f(x) is shifted horizontally a unit left side.
If b>0, then f(x) is shifted vertically b unit upward. If a<0, then f(x) is shifted vertically b unit downward.
Putting c = 2, a = -5, b = 1, and f(x) = √x
y = 2√(x - 5) +1
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The average commute to work (one way is 25 minutes according to the 2005 American Community Survey. If we assume that commuting times are normally distributed and that the standard deviation is 6.1 minutes, calculate the probability that a randomly selected commuter spends for the following cases. Round the final answers to four decimal places and intermediate z-value calculations to two decimal places. More than 31 minutes commuting one way P(X > 31) = Less than 8 minutes commuting one way P(X < 8)
Answers
The probabilities for this problem are given as follows:
P(X > 31) = 0.1635 = 16.35%.P(X < 8) = 0.0026 = 0.26%.How to obtain probabilities using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.The mean and the standard deviation of the commute times are given as follows:
[tex]\mu = 25, \sigma = 6.1[/tex]
The probability that the time is more than 31 minutes is one subtracted by the p-value of Z when X = 31, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (31 - 25)/6.1
Z = 0.98
Z = 0.98 has a p-value of 0.8365.
1 - 0.8365 = 0.1635 = 16.35%.
The probability that the time is less than 8 minutes is the p-value of Z when X = 8, hence:
Z = (8 - 25)/6.1
Z = -2.79
Z = -2.79 has a p-value of 0.0026.
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Billy is saving for a new DVD that costs $64. He already has $16. What % of the total cost has he
already saved?
Answers
Billy has already saved 25% of the total cost.
What is percentage?
A percentage in mathematics is a number or ratio that may be stated as a fraction of 100.In determining a percentage of a number, we should first divide it by 100 before multiply the outcome by 100. As a result, the proportion refers to a part per 100. The word "percent" refers to a fraction of one hundred. The letter "%" stands for it.
Given that, the cost of the DVD is $64.
He saved $16 for the DVD.
The percent of saving
= Saving amount/ cost of DVD × 100%
= (16/64) × 100%
= 0.25 × 100%
= 25%.
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Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=420(1.04)^x
Answers
4% is the percentage rate of increase or decrease in exponential function.
What exactly makes a function exponential?
A mathematical function using the following formula is an exponential function: f (x) = an x. where an is a constant known as the function's base and x is a variable.
The transcendental number e, or roughly 2.71828, is the most often encountered exponential-function base.
We have,
y = 420( 1.04)ˣ
The equation represents exponential growth because the growth factor is greater than 1.
The general form equation is
y(x)= a(1-r)^x such that r is the growth percent.
1 + r = 1.04
r = 0.04 ⇒ 4%
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101.3-[(9×4)+14.4]÷8
Answers
Answer:
Hi!
The answer to the equation will be 95
I hope this helped you :)
Answer: 95
Step-by-step explanation:
101.3−((9)(4)+14.4/8)
=101.3−(36+14.4/8)
=101.3−50.4/8
=101.3−6.3
=95
Hope this helps!!! :)
How do you form the complex conjugate of a complex number a+bi?
Answers
For example, the complex conjugate of 3+2i is 3-2i, and the complex conjugate of -1+4i is -1-4i.
To find the complex conjugate of a complex number, we can simply change the sign of the imaginary part of the number. This operation is useful in many mathematical operations involving complex numbers, such as taking the absolute value, finding the square root, and performing operations such as multiplication and division. It is also commonly used in solving equations involving complex numbers.
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Step-by-step explanation:
How do you form the complex conjugate of a complex nuciu
Write the sentence as an equation.
126 is equal to 26 fewer than the product of 41 and w
NEED ANSWER ASAP
Answers
I believe that would be the answer!!
t=10-x identify to dependent and independent variable
Answers
Answer: t is the dependent variable and x the independent variable
Step-by-step explanation: t is the dependent variable it depends upon the values of x that we put in.
x is the independent variable as we can use whatever values we want for x it is not affected by t
If a 5 1/4 inch line on a map represents a 9 mile road, how many miles would be represented by a 3 1/2 line
Answers
A (3 + 1/2) inches line represents a real distance of 5.985 miles.
How many miles would be repesented by a (3 + 1/2) inch line?First, we know that a (5 + 1/4) inch line on a map represents a 9 mile road, then the conversion from miles to inches is given by the quotient between these two, we will get:
9mi/(5 + 1/4) in = 9mi/(5.25) in = 1.71 mi/in
So, any distance in inches can be multiplied by the above number to get the corresponding measure in miles.
Then for (3 + 1/2) inches we will get:
(3 + 1/2) in*1.71 mi/in = 5.985 mi
So a line of (3 + 1/2) inches has represents a distance of 5.985 miles.
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Cole has c oatmeal cookies. He lets 5 of his friends share them fairly. Write an expression that shows how many cookies each friend gets.
Answers
An expression that shows number of cookies each friend got is c/5.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Given that, Cole has c oatmeal cookies. He lets 5 of his friends share them fairly.
Total number of cookies =c
Sharing among 5 friends
Number of cookies each friend got =Total number of cookies/5
= c/5
Therefore, an expression that shows number of cookies each friend got is c/5.
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Isosceles trapezoid ABCD is shown.
A
B
D
C
Which three statements are correct?
ZBAC ZCAD
ZACD ZACB
ZADC ZBCD
AD
AB
AC
BC
CD.
BD
ہے
Answers
From the given Isosceles trapezoid ABCD, the three correct statements are:
∠ADC ≅ ∠BCD
AD ≅ BC
AC ≅ BD
What is Isosceles trapezoid?An isosceles trapezoid is a trapezoid with equal base angles and hence equal left and right side lengths.
Particularly in isosceles trapezoids, there are unique correlations. "Equal legs" is what the term "isosceles" denotes. Non-parallel sides on isosceles trapezoids have the same lengths. The "legs" are another name for these equal sides.
A triangle with two equal sides is said to be isosceles. Also equal are the two angles that face the two equal sides. A triangle with two congruent sides is referred to as being isosceles, in other words.
Thus, three correct statements are -
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The members of the senior class are planning a dance. They use the equation r=p n to determine the total receipts. What is n expressed in terms of r and p ?
1) n=r+p
2) n=r-p
3) n={p}/{r}
4) n={r}/{p}
1)
2)
3)
4)
Answers
The n expressed in terms of r and p is n=r/p.
How to solve the word problems?
Systems of linear equations must be used to solve some word problems. Here are some hints to help you determine when you need to create a system of linear equations in a word problem:
There are two separate numbers at play, such as the total number of adults and children, the total number of large boxes and little boxes, etc.Each quantity has a value attached to it, such as the cost of an adult or kid ticket, the number of products in a large box as compared to a small box, etc.You must frequently create two distinct linear equations in two variables in order to solve these issues.
So, it is expressed as:
r=pn
n=r/p
Hence, The n expressed in terms of r and p is n=r/p.
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Annette's Floral Shop has a charge account with Southern Flowers, a wholesaler where she
buys her floral supplies. This month, Annette has purchased 16 dozen roses at $30.96 per
dozen, 40 dozen chrysanthemums at $17.80 per dozen, and 20 dozen tulips at $21.10 per
dozen. In her state, Annette must pay a 6% sales tax on all orders. At the end of the month,
what is the balance on Annette's charge account?
Answers
Total balance in Annette's charge account is $1727.12 with 6% of tax on all order.
What is Percentage ?The Latin phrase "per centum," which meaning "by the hundred," was the source of the English word "percentage." Fractions having a denominator of 100 are called percentages. In other words, it is a relationship where the value of the entire is always assumed to be 100.
Finding the percentage of a whole in terms of 100 is what percentage calculation refers to. A percentage can be found in one of two ways:
use the unitary approach.by adjusting the fraction's denominator to 100.It should be noted that when the denominator is not a factor of 100, the second technique of percentage calculation is not applied. In these situations, we employ the unitary technique.
1 dozen of Rose costs = $30.96
1 dozen of chrysanthemums costs = $17.80
1 dozen of of tulips costs = $ 21.10
Total Spending = 16 dozens of roses + 40 dozen of chrysanthemums + 20 dozens of tulips
= 16 * 30.96 + 40 * 17.80 + 20 *21.10
= $1629.36
There is a 6% sales tax on all order = 6% of 1629.36 = $ 97.76
Total balance in Annette's charge account is $ 97.76 + 1629.36 = $1727.12.
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Total balance in Annette's charge account is $1727.12 with 6% of tax on all order.
What is Percentage ?
The Latin phrase "per centum," which meaning "by the hundred," was the source of the English word "percentage." Fractions having a denominator of 100 are called percentages. In other words, it is a relationship where the value of the entire is always assumed to be 100.
Finding the percentage of a whole in terms of 100 is what percentage calculation refers to. A percentage can be found in one of two ways:
Use the unitary approach.
by adjusting the fraction's denominator to 100.
It should be noted that when the denominator is not a factor of 100, the second technique of percentage calculation is not applied. In these situations, we employ the unitary technique.
1 dozen of Rose costs = $30.96
1 dozen of chrysanthemums costs = $17.80
1 dozen of of tulips costs = $ 21.10
Total Spending = 16 dozens of roses + 40 dozen of chrysanthemums + 20 dozens of tulips
= 16 * 30.96 + 40 * 17.80 + 20 *21.10
= $1629.36
There is a 6% sales tax on all order = 6% of 1629.36 = $ 97.76
Total balance in Annette's charge account is $ 97.76 + 1629.36 = $1727.12.
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Which of the following statements are always true? A) If f(t) is increasing, then the left-hand sum gives an overestimate of the integral from a to b of f(t)dt. B) If f(t) is concave up, then the left-hand sum gives an overestimate of the integral from a to b of f(t)dt.
Answers
The statement that is true about integrals is; A) If f(t) is increasing, then the left-hand sum gives an overestimate of the integral from a to b of f(t)dt.
How to interpret Riemann sums?Left-Hand Sums and Right-Hand Riemann sums usually give us different approximations of the specific area under a curve.
Now, If one sum gives us an overestimated value and then the other gives us an underestimated value, then we can try to find out what exactly the actual area under the curve might possibly be. It should be noted that left-hand sum will be an under-estimate of the specific area of R. Thus, as f is increasing, a left-hand sum will definitely use the smallest value of f on each sub-interval. This therefore tells us that any left-hand sum will not cover all of R and also any right-hand sum will be an over-estimated value of the area of R.
Thus, Since f is increasing, a right-hand sum will utilize the largest value of f on each specific sub-interval. Thus, right-hand sum will definitely cover R and others.
From the above, option A is true because if the graph is increasing then the left-hand sum gives an overestimated value of the actual value.
Meanwhile, option B is false because if the graph is concave upwards, then the trapezoid approximation is an overestimated value, and as such the midpoint will be underestimated.
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Samuel went to the grocery store and purchased cans of soup and frozen dinners.
Each can of soup has 300 mg of sodium and each frozen dinner has
450 mg
of
sodium. Samuel purchased 5 more frozen dinners than cans of soup and they all
collectively contain 6000 mg of sodium. Write a system of equations that could be
used to determine the number of cans of soup purchased and the number of frozen
dinners purchased. Define the variables that you use to write the system.
Answers
A system of equations that could be used to determine the number of cans of soup purchased and the number of frozen dinners purchased is; 300a + 450b = 6000 and a + 5 = b.
The variables x and y respectively represents cans of soup and frozen dinners and a and b represents number of cans of soup and frozen dinners.
Let cans of soup be denoted by x
Let each frozen dinner be denoted by y
Now, we are told that each can of soup has 300 mg of sodium and each frozen dinner has 450 mg. Thus;
x = 300
y = 450
It is said that Samuel purchased 5 more frozen dinners than cans of soup and they all collectively contain 6000 mg of sodium.
Let the no. of cans of soup be 'a' and no. of frozen dinner be 'b'. Thus, we will have the equation as;
ax + by = 6000
a(300) + b(450) = 6000
300a + 450b = 6000 ------(1)
We are told that Samuel purchased 5 more frozen dinners than cans of soup. This can be represented by the equation;
a + 5 = b ------(2)
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PLEASE HELP MEE!!
What is the inverse of the function shown?
Answers
The inverse of the function shown is (x + 5).
What is the inverse of the function?
A function that can reverse into another function is known as an inverse function or anti-function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y. When a function is written as "f" or "F," its inverse is written as "[tex]f^{-1}[/tex]" or "[tex]F^{-1}[/tex]." Here, (-1) should not be confused with an exponent or a reciprocal.
Coordinates of the given line are (8,3) and (-2,-7)
The function of the given graph for two points form is
[tex]y-y_{1} = \frac{y_{2}-y_{1} }{x_{2} -x_{1}} (x-x_{1} )[/tex]
or, [tex]y-3 = \frac{-7-3 }{-2-8} (x-8 )[/tex]
or, y - 3 = x - 8
or, y = x -8 + 3 = x - 5
y = x - 5
To find the inverse, replace x with y and y with x then, we get
x = y - 5
y = x + 5
[tex]f^{-1}[/tex] = x + 5
Hence, the inverse of the function shown is (x + 5).
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HELP PLEASE all I need is the answer of b and c. The whole of the table is correct
Answers
b. You have a table that says 1-6 x 1-6 multiply 6x6 to get 36, that is your total number of squares. This number will also be our denominator.
Now you need to count the number of 1s (just the blue ones). You have 10 number 1s. This will be our numerator.
Let’s combine our two numbers into a fraction. Our numerator of 10 and denominator of 36 = 10/36
We need to simplify this number since it is not in its smallest possible form. A number that will factor into both 10 and 36 is 2.
After dividing both the top and bottom by 2 we get a simplified fraction of 5/18. This is our answer.
Part C.
First thing to know is that we already have the denominator of these fractions, it’s 36 all of the fractions we find will use the denominator 36.
Let’s start with 2, we have 8/36 which simplifies to 2/9
Next, 3: we have 6/36 which simplifies to 1/6
Next 4: we have 4/36 which simplifies to 1/9
Next 5: we have 2/36 which simplifies to 1/18
So it looks like the number 5 is the one that will simplify to become our answer!
Express in a single log term
Answers
The simplified form of the given logarithmic expression as required in the task content bis Choice B; 2log8.
What is the simplified form of the expression as a single log term?It follows from the task content that the simplified form of the logarithmic expression is to be determined as a single log term.
On this note, since the given expression is;
2log2 + 2log4
It follows from factorisation that we have;
2 ( log 2 + log 4 )
Therefore, the expression in the parentheses can be simplified as a single log term using the sum of logarithms law as follows;
= 2 ( log ( 2 × 4 ) )
= 2 log 8.
Ultimately, the answer choice which represents the simplified form of the expression as a single log term is; Choice B; 2 log 8.
Read more on logarithms;
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The length of a rectangle is shown below:
On a coordinate grid from negative 6 to positive 6 on the x-axis and on the y-axis, two points A and B are shown. The point A is on ordered pair negative 2, 3, and the point B is on ordered pair 3, 3.
If the area of the rectangle to be drawn is 30 square units, where should points C and D be located, if they lie vertically below A and B, to make this rectangle?
C(3, −2), D(−2, −2)
C(3, −3), D(−2, −3)
C(−3, 3), D(−3, −2)
C(−2, 3), D(−2, −2)
Answers
Answer:
C(3, −3), D(−2, −3)
Step-by-step explanation:
The distance from point A to point B is 5 units.
The width of the rectangle is 5 units.
The length must be 6 units to have an area of 30 square units.
Points C and D must be 6 units below points A and B.
Their coordinates must be (-2, -3) and (3, -3).
Answer: C(3, −3), D(−2, −3)
Compare the function 3x + 2y = 8 to the function graphed below, then identify which statement is true.
The two functions have the same y-intercept.
The two functions have the same x-intercept.
The y-intercept of the graphed function is greater than the y-intercept of the function 3x + 2y = 8.
The x-intercept of 3x + 2y = 8 is greater than the x-intercept of the graphed function.
Answers
The two linear functions have the same y-intercept. Then the correct option is A.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The function 3x + 2y = 8 and the other function is graphed.
Convert the standard linear function into slope-intercept form. Then we have
3x + 2y = 8
2y = 8 - 3x
y = 4 - (3/2)x
The y-intercept of the linear function is 4 and the y-intercept of the graphed line is also 4.
The two capabilities have a similar y-catch. Then, at that point, the right choice is A.
More about the linear equation link is given below.
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