Answer:
0.736 radians
Step-by-step explanation:
Assuming you want the measure of this 42-degree angle in radians, multiply 42 degrees by the conversion factor
1 rad
--------------
57.1 deg
The result: 42 degrees = 42/57.1 radians ≈ 0.736 radians
The graph of the parent function f(x) = |x| is dashed and the graph of the transformed function g(x) = |x| + k is solid. Use the slider to change the value of k. How does changing the value of k affect the graph? Positive values of k shift the graph . Negative values of k shift the graph
Answer:
Use the slider to change the value of k.
Positive values of k shift the graph ✔ up.
Negative values of k shift the graph ✔ down
Step-by-step explanation:
Transformation involves changing the position of a function.
The true statements are:
Positive values of k shift the graph up
Negative values of k shift the graph down
The functions are given as:
The equation of g(x) implies that, f(x) is translated or shifted vertically.
The possible values of k are:
k is greater than 0 i.e. positive
k is less than 0 i.e. negative
When k is positive, then the graph of the function shifts up
If otherwise (i.e. k is negative), then the graph of function shifts down
Changing the value of k in the function g(x) = |x| + k affects the graph by shifting it vertically.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
Horizontal translation: g(x)=f(x+c).
The graph is translated as c units to the left if c>0 and c units to the right if c<0.
Vertical translation: g(x)=f(x)+k.
The graph is translated as k units upward if k>0 and k units downward if k<0.
When k is positive, the graph of g(x) is shifted upward by k units compared to the graph of f(x). This is because, for any value of x, g(x) will be greater than f(x) by k units, due to the addition of k to the absolute value of x.
Conversely, when k is negative, the graph of g(x) is shifted downward by k units compared to the graph of f(x). This is because, for any value of x, g(x) will be less than f(x) by k units, due to the subtraction of k from the absolute value of x.
Therefore, changing the value of k in g(x) = |x| + k shifts the graph vertically, either upward or downward, depending on the sign of k.
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Which of the triangles does not have the same base length as the others?
Answer:
Triangle C :)
Step-by-step explanation:
On the chart, it shows us that triangle c has the largest base at 5 units long :)
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How many miles can be driven using 5.5 gallons of gas?
Answer:
it depends on the car mpg but based on the average (24.9 mpg) you can drive about 136.95 miles
Step-by-step explanation:
24.9 x 5.5
Ebony had a sum of money.
She kept ½ for herself. She decided to give the rest away to family and charity.
¾ of the money she gave away went to family.
a) What fraction of the total amount did Ebony give to charity?
a)If the amount was £200, how much money did she give to family?
Answer: She gave a fraction of 1/4 to charity, and she gave $150 to family
Step-by-step explanation: Ebony had a totaly of $200 dollars to start with to give away that means if she gave 3/4 of $200 to family that would mean she gave $150 dollars to her family
Now the other part of the question is how much of the total amount did Ebony give to charity now if I understand that part correctly then it wants you to give the fraction of the total which would be she gave 1/4 out of the $200 she had for family and charity which means she gave 1/4 of $200 which is $50 to charity
Hope this Helps!
If a bicyclist travels at 15 km/, how long will it take her to travel 50 km?
A. 6 h
B. 3.33 h
C. 450 h
D. D 0.3 h
Answer:B
Step-by-step explanation: Distance covered = speed × time
Time = Distance /speed = 50/3
10 \frac { x ^ { 2 } } { y ^ { 2 } } - 1 - 3 \frac { y ^ { 2 } } { x ^ { 2 } }
Answer:
[tex]\frac{(2x^{2} + y^{2}) (5x^{2} - 3^{2} }{x^{2} y^{2} }[/tex]
Step-by-step explanation:
Find the solution below.
Answer: (5x2 + 3y2) • (2x2 + y2) ———————————————————————— x2y2
Step-by-step explanation:
STEP 1: y2
Simplify ——
x2
Equation at the end of step 1: (x2) y2
((10•————)-1)-(3•——)
(y2) x2
STEP 2 : x2
Simplify ——
y2
Equation at the end of step 2: x2 3y2
((10 • ——) - 1) - ———
y2 x2
STEP 3:Rewriting the whole as an Equivalent Fraction 3.1 Subtracting a whole from a fraction Rewrite the whole as a fraction using y2 as the denominator : 1 1 • y2
1 = — = ——————
1 y2
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominatorAdding fractions that have a common denominator : 3.2 Adding up the two equivalent fractions Add the two equivalent fractions which now have a common denominatorCombine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible: 10x2 - (y2) 10x2 - y2
——————————— = —————————
y2 y2
Equation at the end of step 3: (10x2 - y2) 3y2
——————————— - ———
y2 x2
STEP 4:Trying to factor as a Difference of Squares: 4.1 Factoring: 10x2-y2 Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)Proof : (A+B) • (A-B) = A2 - AB + BA - B2 = A2 - AB + AB - B2 = A2 - B2Note : AB = BA is the commutative property of multiplication. Note : - AB + AB equals zero and is therefore eliminated from the expression.Check : 10 is not a square !! Ruling : Binomial can not be factored as thedifference of two perfect squaresCalculating the Least Common Multiple : 4.2 Find the Least Common Multiple The left denominator is : y2 The right denominator is : x2 Number of times each Algebraic Factor appears in the factorization of: Algebraic Factor Left Denominator Right Denominator L.C.M = Max {Left,Right} x 022 y 202 Least Common Multiple: x2y2 Calculating Multipliers : 4.3 Calculate multipliers for the two fractions Denote the Least Common Multiple by L.C.M Denote the Left Multiplier by Left_M Denote the Right Multiplier by Right_M Denote the Left Deniminator by L_Deno Denote the Right Multiplier by R_Deno Left_M = L.C.M / L_Deno = x2 Right_M = L.C.M / R_Deno = y2Making Equivalent Fractions : 4.4 Rewrite the two fractions into equivalent fractionsTwo fractions are called equivalent if they have the same numeric value.
Given that x + y= 180, p + 9 = 180, and p = x. Show that y= q. 1) Which step would be used to prove the argument? es A) x + p = 180 B) x + y = p +9 (9y+ = 180 D) 2x + 2y = 180
Answer:x + y = 180
p + q = 180
p = x
Show that y = q
x = 180 - y
p = 180 - q
p = x
180 - q = 180 - y
-q = 180 - y - 180
-q = -y
-q/-1 = -y/-1
q = y OR y = q
x + y = p + q CHOICE B.
180 - y + y = 180 - q + q
Step-by-step explanation: your welcome
What is the volume of the pyramid? 2.5 cm3 5 cm3 6 cm3 7.5 cm3
Answer:
the anwer is 5 cm3
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
pls help me thank you
Answer:
C
Step-by-step explanation:
a and b add to 180 degrees also known as a straight line
Answer:
supplimentarry
Step-by-step explanation:
add up to be 180
WILL GIVE BRAINLIEST!!!
Solve 2(3y + 7 + 5) = 180. Solve ALL steps.
[tex]2(3y + 7 + 5) = 180\\\\ \implies 3y+12=\dfrac{180}2 \\ \\ \implies 3y+12 = 90\\\\\implies 3y = 90-12\\\\\implies 3y = 78\\\\\implies y= \dfrac{78}3 \\\\\implies y=26[/tex]
Answer:
y = 26
Step-by-step explanation:
2(3y + 7 + 5) = 180
6y + 14 + 10 = 180
6y + 24 = 180
-24 -24
6y = 156
÷6 ÷6
y = 26
I hope this helps!
· Write the equation of the circle in standard form. Then, find its
radius and center.
x2 + y2 + 14x – 12y + 4 = 0
Answer:
Center: (-7,6)
Radius: 4
Step-by-step explanation:
Hope this helps :)
The table shows the estimated number of lines of code written by computer programmers per hour when x people are working. a 2-column table with 6 rows. the first column is labeled people working with entries 2, 4, 6, 8, 10, 12. the second column is labeled lines of code written hourly with entries 50, 110, 160, 210, 270, 320. which model best represents the data? y = 47(1.191)x y = 34(1.204)x y = 26.9x – 1.3 y = 27x – 4
The estimated number of lines of code written by computer programmers per hour when x people are working & the correct option is y = 27x - 4.
Table showing the estimated number of lines of code written by computer programmers per hour when x people are working & option given y= 47 * 1.191ˣ y= 34 * 1.204ˣ y=26.9x - 1.3 y = 27x - 4
To Choose the model which best represents the data.
What is choosing the best model data?To understand a set of data, it is helpful to organize it and provide summary descriptions of the set.
People Working lines of code
2 50
4 110
6 160
8 210
10 270
12 320
x y= 47 * 1.191ˣ y= 34 * 1.204ˣ y=26.9x - 1.3 y = 27x - 4
2 66.66 49.3 52.5 50
4 94.57 71.44 106.3 104
6 134.14 103.57 160.1 158
8 190.27 150.14 213.9 212
10 269.91 217.64 267.7 266
12 382.85 315.5 321.5 320.
Below 2 0 4 1
on line 0 0 0 2
Above 4 6 2 3
Therefore y = 27x - 4 is the best fit
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Answer:
y = 27x - 4
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Step-by-step explanation:
anyone know this??!!!
Step-by-step explanation:
[tex] - \frac{1}{5} + \frac{1}{4} \times \frac{1}{20} [/tex]
choice 3
The sixth term is 22. the common difference is 6 what is the 15th term?
Answer:
The general formulaa for an arithmetic sequence is:
a(n) = a + d(n - 1)
Step-by-step explanation:
Answer is a(n) = a + d(n - 1)
Tomas learned that the product of the polynomials (a b)(a2 – ab b2) was a special pattern that would result in a sum of cubes, a3 b3. his teacher put four products on the board and asked the class to identify which product would result in a sum of cubes if a = 2x and b = y. which product should tomas choose? (2x y)(2x2 2xy – y2) (2x y)(4x2 2xy – y2) (2x y)(4x2 – 2xy y2) (2x y)(2x2 – 2xy y2)
The polynomial (a + b)(a² – ab + b²) is reconstructed as (2x + y)(4y² – 2xy + y²), then the correct option is C.
What is polynomial?Polynomial is an algebraic expression that consists of variables and coefficients. Variables are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.
Tomas learned that the product of the polynomials (a + b)(a² – ab + b²) was a special pattern that would result in a sum of cubes, a³ + b³.
His teacher put four products on the board and asked the class to identify which product would result in a sum of cubes if a = 2x and b = y.
Then the polynomial equation will be
(2x + y)(4y² – 2xy + y²)
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Answer:
C
Step-by-step explanation:
2022
find the surface area. help i’m confused
please help please please
Answer:
1) 27
2) 63
Step-by-step explanation:
cos-1(17/38)= 63.425...= 63= angle C
90-63= 27=angle A
How many values are between 30 and 50?
between 30 and 50 is approximately 40
?? Honestly so confused
Answer:
[tex]f\left(x\right)=\left(x-1\right)^{2}+3[/tex]
Step-by-step explanation:
The equation for thr function f(x) is [tex]f(x)=\left(x-1\right)^{2}[/tex] . The vertex of this equation is located at (1,0). The vertex of function g(x) is located at (1,3) , meaning that the vertex of g(x) is 3 units higher than that of f(x). This can be represented in the equation using a vertical translation. The final equation for g(x) would be [tex]f\left(x\right)=\left(x-1\right)^{2}+3[/tex] .
Hope this helps! :)
The functions f(x) = x^2 – 3 and g(x) = –x^2 + 2 are shown on the graph.
Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the solution set be identified?
y ≤ x^2 – 3
y > –x^2 + 2
The shaded region is the solution of the given functions f(x) = x² – 3 and g(x) = –x² + 2.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The functions f(x) = x² – 3 and g(x) = –x² + 2 are shown on the graph.
Now for the point (0, 0). Then we have
0 ≤ 0² – 3
0 ≤ – 3
which is false
Then the region is opposite to the origin.
Similarly, we have
0 > 0² + 2
0 > 2
which is false
Then the region is opposite to the origin.
Thus, the shaded region is the solution of the given functions f(x) = x² – 3 and g(x) = –x² + 2.
The graph is shown below.
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Arrange from greatest to least the regions whose populations have 9 as the power
Answer:
i dont know
Step-by-step explanation:
Rewrite the polynomial in the form ax^2+bx+c and then identify the values of a, b, and c
You’re given two side lengths of 3 cm and 5 cm. Which measurement can you use for the length of the third side to construct a valid triangle?
1. 8cm
2. 6cm
3. 4cm
4. 10cm
5. 2cm
Which is a TRUE statement about slope?
A. The slope of a line is never 0.
B. When a line increases as you read it from left to right, the slope of the line is negative.
C. When the slope of a line is negative, the y-values decrease as the 3-values increase.
D. The slope of a line is always positive.
Answer:
C)
Step-by-step explanation:
Use the formula A = bh to find the
area of a rectangular-shaped garden
with a base of 8 feet and a height of
7 feet
Answer:
Hope it helps.....................
Work out 4 5 ÷ 7 15 Give your answer as a mixed number in its simplest form.
Answer:
1/9
Step-by-step explanation:
look up mixed numbers calculator soup , it helps you <3
Answer:
1 37/50
Step-by-step explanation:
4/5÷7/15 =
1.74 =
1 74/100 =
1 37/50
HURRRYYYY
The diagram shows a cone of the height of 8 units and a base radius of 6 units.
What is its volume?
Answer:
Option A :- V = 301.44
Step-by-step explanation:
Formula= V = (1/3)πr²h
Volume = 1/3 × 22/7 × 36 × 8
⇒ 301.44
i need t know the answer and what that's called
the answer is around 1.73, so its a little over the 1.5 mark. also, im not sure if this is what you meant, but the phrase is radical 3, or the square root of 3 :)
its the blue line!!!!
Which expression represents these words?
6 less than the quotient of 36 and 4
(36−4)+6
(36−4)−6
364+6
364−6
Answer:
[tex]\frac{36}{4} -6[/tex]
Step-by-step explanation:
the quotient of 36 and 4 is:
[tex]\frac{36}{4}[/tex]
Mathematically we write 6 less than 36/4 like this :
[tex]\frac{36}{4} -6[/tex]
What is the initial value of a=75t + 125?