For the relation to not to be a function we need the same value of x in (x,y) that gives off different values (y).
2k+1= 3k-22k-3k = -2-1-k = -3k = 3Now plugging in the value of k,
(2 x 3+1 ,3) =( 7,3)(3 x 3-2,-6) = (7,-6)hence , the relation won't be function if k would be equal to 3
The value of k for which the relation R = {(2k+1, 3), (3k−2, −6)} is not a function is k = 3.
What is a function?In general terms, a function is a mathematical rule or relationship that maps one set of values (the input or domain) to another set of values (the output or range). In other words, it's a specific process that takes some input and produces a corresponding output.
For the given relation R to be a function, each input in the domain should have exactly one corresponding output in the range.
We can determine whether the relation R is a function by checking if both ordered pairs have the same first coordinate. If they do, then the relation is not a function.
Let's equate the first coordinate of the ordered pairs:
2k+1 = 3k-2
Solving for k, we get:
k = 3
If we substitute k = 3 into the relation, we get:
R = {(2(3)+1, 3), (3(3)−2, −6)}
R = {(7, 3), (7, -6)}
Since both ordered pairs have the same first coordinate of 7, the relation R is not a function.
Therefore, the value of k for which the relation R = {(2k+1, 3), (3k−2, −6)} is not a function is k = 3.
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Danielle needs to walk three miles, if she wants to reach her destination in 45 minutes (3/4 hour), how fast does she need to walk?
1 mile per every 15 minutes
or 4 mph
The price of an item has risen to $228 today. Yesterday it was $95. Find the percentage increase.
Answer:
140% increase
Step-by-step explanation:
Percent increase = [(final - initial) ÷ initial] · 100
[(228 - 95) ÷ 95] · 100
[133 ÷ 95] · 100
1.4 · 100
140
BRAINLIEST please if this helped!Question is attached
simplify 3(r + 4) - 5r
Answer: 12-2r
Step-by-step explanation:
3r+12-5r
= -2r+12 or 12-2r
Answer:
-2r + 12
Step-by-step explanation:
simplify 3(r + 4) - 5r
3(r + 4) - 5r <== distribute first
3(r) + 3(4) - 5r
3r + 12 - 5r <== combine like terms
-2r + 12 <== final answer
Hope this helps!
distribute to create an equivalent expression with the fewest symbols possible 1/5(15+10k)=
Answer:
[tex]3+2k[/tex]
Step-by-step explanation:
[tex]\frac{1}{5}(15+10k)=\frac{1}{5}(15)+\frac{1}{5}(10k)=3+2k[/tex]
Answer:
3 + 2k
Step-by-step explanation:
Given that:
⅕ (15+10k)
Using the distributive property which is:
a × (b + c) = a × b + a × c
Which also means: Remove Parentheses
Thus we have:
⅕ (15+10k)
⇒ ⅕ × 15+⅕ ×10k
⇒ ¹⁵⁄₅ + ¹⁰ᵏ⁄₅
⇒ 3 + 2k
Hence, the answer to equivalent expression is 3 + 2k.
Kavinsky
IM STUCK CAN SOMEBODY SOLVE EQUATION
Answer:
1.) 1169
2.) 7
3.) 167 students/year
4.) 1879
5.) 1879+167t
6.) 4050
Step-by-step explanation:
1.) Find the difference between the number of students in 2002 and 2009:
[tex]3382-2213=1169[/tex]
2.) Find the difference in the years:
[tex]2009-2002=7[/tex]
3.) To find the average growth, find the change between 2002 and 2009 and divide by 7.
[tex](3382-2213)/7=y\\1169/7=y\\167=y[/tex]
4.) To find the population of the students in the year 2000, we need to subtract the average growth time and the difference of years from 2213.
[tex]2213-167(2002-2000) = y\\2213-334=1879[/tex]
5.) Taking the equation above, and changing it to match the requirements, we get:
[tex]P = 1879+167t[/tex]
6.) Now find the difference between 2013 and 2000, and substitute for t to get:
[tex]P = 1879+167(2013-2000)\\P = 1879+167*13\\P = 4050[/tex]
Find the slope of the line 11x - 4y = 21.
Answer: 11/4
Step-by-step explanation: no need :”)
Find the value of sin20 × sin30 × sin40 × sin80.
Please I need answers...
Answer:
3/16
Step-by-step explanation:
Prove that sin 20 ×sin40 × sin60 × sin80 = 3/16.
We have to prove sin 20 × sin40 × sin60 × sin80 = 3/16.
Consider LHS
sin 20 × sin 40 × sin60 × sin80
Sin Values
In trigonometry, the sine function can be defined as the ratio of the length of the opposite side to that of the hypotenuse in a right-angled triangle. The sine function is used to find the unknown angle or sides of a right triangle.
We know the trigonometric values of sin function
Proof
Consider LHS
sin 20 × sin 40 × sin60 × sin80
= sin60 [sin20 × sin40 × sin80]
= √3/2[sin20 × sin(60 – 20) × sin(60 + 20)]
= √3/2[sin 3(20)/4]
= √3/2[sin 60/4]
= √3/2[√3/2 × 4]
= √3/2 × √3/8 = 3/16
∴ LHS = RHS
Hence proved
A quilt is made of 12 squares of equal size. Each square measures 15 cm by 15 cm.
What is the area of the quilt?
Answer: 12 x 15= 180 cuadrados
juas juas juas 180 + 180 = 360
15 x 15 cm = 360
Step-by-step explanation:
Answer:
Its [tex]2,700cm^{2}[/tex]
Ste,p-by-step explanation:
I WILL GIVE BRAINLIEST + 25 POINTS PLEASE HELP
Answer:
25
Step-by-step explanation:
Answer:
50.24 square yards
Step-by-step explanation:
Area of the circle
A = πr²A = 3.14 x (4)²A = 3.14 x 16A = 50.24 square yardsBRAINLLY!!! PLEASE HELP I'll GIVE BRAINLY!!!!
Answer: 495
Step-by-step explanation:
Since the foil covers the object and does not fill it, this problem is a matter of surface area rather than volume. Surface area is finding the area of all the faces, and adding them up.
Since we know the two triangular ends are not covered, this actually makes the problem easier.
Going with our definition of surface area above, we do:
(16.5 * 13) + (16.5 * 12) + (16.5 * 5) = 495
Our answer is 495
Answer:
C: 495ft²
Step-by-step explanation:
You need to calculate and add the surface area of the three rectangular faces of this prism. The two triangular ends are not covered in the foil as stated in the question. You find this like any other rectangle by multiplying the length by the width. (a = lw)
Let's start with the bottom rectangle, it has dimensions of 5x 16.5ft
5 * 16.5 = 82.5
Now the rectangle on the right side.
13 * 16.5 = 214.5
Now the left or back side rectangle.
12 * 16.5 = 198
Now add these values together
82.5 + 214.5 + 198 = 495ft²
A locker combination has three nonzero digits, and digits cannot be repeated. If the first digit is odd, what is the probability that the second digit is even? A. 1/2
B. 4/9
C. 1/8
D. 1/9
Answer:
A. 1/2.
Step-by-step explanation:
After the odd digit is taken out there are 8 digits left,
and of these 4 are even so
the answer is 4/8 = 1/2.
On January 1, 2022 Hideki Matsuyama provides services in exchange for a $10,000 zero-interest bearing note due in 4 years. The effective interest rate for a note of this type is 15 percent. How much revenue does Hideki recognize on January 1, 2022?
Hideki recognizes a $17,490.06 revenue.
RevenueGiven that on January 1, 2022 Hideki Matsuyama provides services in exchange for a $10,000 zero-interest bearing note due in 4 years, and the effective interest rate for a note of this type is 15 percent, to determine how much revenue does Hideki recognize on January 1, 2022 the following calculation must be made:
10000 x 1.15^4 = X10000 x 1.749 = x17490.06 = XTherefore, Hideki recognizes a $17,490.06 revenue.
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Answer:
Hideki recognizes a $17,490.06 revenue.
Step-by-step explanation:
Plot 1 goes from 0 to 8. There are 2 images above 5, 2 above 6, 4 above 7, and 5 above 8. Plot 2 goes from 0 to 8. there are 5 images above 1, 2 images above 2, 4 images above 3, 3 images above 4, 1 image above 5, 1 image above 6, and 1 image above 8.
Use visual clues to decide which plot has the highest measure. No calculations should be necessary, although you may use them to verify your answers.
Highest mean:
✔ Plot 1
Highest median:
✔ Plot 1
Highest range:
✔ Plot 2
Highest interquartile ranges:
✔ Plot 2
Answer: the answer is 45
Step-by-step Step-by-step explanation:
so it says a pilot goes from 0 to 8 and then two images above so you add to to eat and then you add 5 to 2:30 for me to 522 the artistic 24 + 27 + 5 then you answer 8 + 2028 and then you add 5 + 1 + 2 + 2 + 4 + 3 + 3 + 4 + 1 + 5 + 16 + 18 and you get 45
Answer:
A, A, B, B
Step-by-step explanation:
What is the length of a rectangle formed from the lateral surface of a cylinder?
Answer:
B. 2[tex]\pi[/tex]r
Step-by-step explanation:
Which of the following are composite numbers? Select ALL that apply. 4 9 15 3 5 answers.
Answer:
4 and 9
Step-by-step explanation:
Composite numbers are whole numbers that can have more than 2 factors.
Find the value of k so that the quadratic inequality x² + 14x + k < 0 only for x is an element of [-11,–3]
Answer:
x²+14x+33<0.
Step-by-step explanation:
1) according to the condition x=-11 and x=-3 are zeros of the function y=ax²+bx+c;
2) if -3;-11 are zeros, then (-3)*(-11)=c ( already a=1; b=14). Then
3) x²+14x+33<0.
2x + y = 7 - 9x + 6y = 0
x=2
Step-by-step explanation:
y=7-2x -------(1)
6y=9x
y=9x/6 = 3x/2------(2)
Now,
Equation equation 1 and 2
7-2x= 3x /2
2(7-2x)=3x
14-4x=3x
14=4x+3x
14=7x
14/7=x
x=2
find the area of a trapezoid
Answer:
see explanation
Step-by-step explanation:
the area (A) of a trpezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
b₁, b₂ are the parallel bases and h the perpendicular height between them
(1)
b₁ = 12, b₂ = 8 , h = 5
A = [tex]\frac{1}{2}[/tex] × 5 × (12 + 8) = 2.5 × 20 = 50 cm²
(2)
b₁ = 6 , b₂ = 4 , h = 3
A = [tex]\frac{1}{2}[/tex] × 3 × (6 + 4) = 1.5 × 10 = 15 cm²
(3)
b₁ = 7 , b₂ = 4 , h = 4
A = [tex]\frac{1}{2}[/tex] × 4 × (7 + 4) = 2 × 11 = 22 cm²
Answer:
see explanation
Step-by-step explanation:
the area (A) of a trpezoid is calculated as
A = \frac{1}{2}21 h (b₁ + b₂ )
b₁, b₂ are the parallel bases and h the perpendicular height between them
(1)
b₁ = 12, b₂ = 8 , h = 5
A = \frac{1}{2}21 × 5 × (12 + 8) = 2.5 × 20 = 50 cm²
(2)
Is it possible that all solutions of a homogeneous system of ten linear equations in twelve variables are multiples of one fixed nonzero solution
The answer is no, because the Rank Theorem tells us that rank A + dim Nul A = 12 . Since the rank can be at most 10, the null space has to have dimension at least two.
NEED HELP ASAP
In the diagram, m ZAFB = 78°
Which angle is complementary to ZAFB and what is its measure?
Answer:
Angle BFC is complimentary to AFB. Its measure is 12.
Step-by-step explanation:
Complementary angles add up to 90 degrees. When these two angles combine, it adds up to 90. 90-78 = 12. This angle's measure is 12.
Find the value of x.
Sum of two interior angles=Exterior angle
44°+9x+3=14x+79x+47=14x+747=5x+75x=47-75x=40x=5Find the area
(Explain)
Answer:
960 cm²
Step-by-step explanation:
Area of trapezoid: (a + b)(h)/2
A = (20 + 40)(32)/2
A = 60(32)/2
A = 1920/2
960 cm²
BRAINLIEST please if this helped!A family-size container of trail mix contains 40 ounces. This is 250% of the amount in the regular-size container.
How many ounces are in the regular-size container of trail mix?
Enter your answer in the box
Answer:
16 should be the correct answer
Find the length of the midsegment of the trapezoid.
Answer:
So 18+-10=8, 18+-8=10. So the answer is 8 I guess.
CAN SOMEBODY HELP ME SOLVE THE EQUATION
Tables A, B, and C.
The only non-linear graph is D. Do not overthink questions like this, this is where schools try to trick you. You are given plot points, plot them and see if they are straight lines (linear) on the graph. If there is a bend (non-linear or peyronie's disease).
Donna received a $90 gift card for a coffee store. She used it in buying some coffee that cost $7.59 per pound. After buying the coffee, she had $59.64 left on her card. How many pounds of coffee did she buy?
Answer: 4 pounds
Step-by-step explanation:
First, we will see how much the coffee cost by subtracting what was left by the total gift card.
$90 - $59.64 = $30.36
Now, we will divide how much the coffee cost by how much one pound costs. This will give us how many pounds she bought, and the answer to your problem
$30.36 / $7.59 = 4
She bought four pounds of coffee.
Find two positive numbers whose product is 192 and their sum is a minimum.
Answer:
8√3
Step-by-step explanation:
Let a, b = the positive numbers, and the sum = s,
(1)---- ab = 192
(2)--- a + b = s
Since we want to find the minimum sum, we'll have to substitute one of the variables (either a or b) from (1) to (2), I'll choose b,
From (1), b = 192/a
Substitute b = 192/a into (2),
s = a + 192/a
Now, we are able to use a concept of calculus (maximum & minimum) to solve it, just remember 2 steps in finding the values of x in maxima minima question:
1) find dy/dx
2) Find x from dy/dx = 0
ds/da = 1 - 192/a²
When ds/da = 0,
1 - 192/a² = 0
a² = 192
a = ±√192
a = 8√3 , -8√3
Since a is positive, a = 8√3
Substitute a into (1),
b = 192/(8√3)
b = 8√3
Therefore, the two positive numbers are 8√3... and 8√3
Multiply 12•3/5. Simplify the answer and express it as a mixed number
Answer:
7 1/5
Step-by-step explanation:
12x3/5=36/5.
The solution is, 12•3/5 = 7 1/5 , expressed as a mixed number.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
given that,
we have to Multiply 12•3/5
i.e. 12 * 3 /5
= (12*3 )/5
=36/5
now, as we have to express it as a mixed number,
we get,
36/5 = 7 1/5
Hence, The solution is, 12•3/5 = 7 1/5 , expressed as a mixed number.
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Help me in math pls ty
Answer:
See below ↓↓↓↓↓↓
Step-by-step explanation:
5.
12 2/3 - 5/738/3 - 5/7266/21 - 15/21251/21 or 11 20/216.
11 1/3 - 3/534/3 - 3/5170/15 - 9/15161/15 or 10 11/157.
9 1/6 - 2 3/455/6 - 11/4110/12 - 33/1277/12 or 6 5/128.
25 1/4 - 3/525.25 - 0.624.6524 13/25 or 613/259.
4 1/2 - 1 4/64 1/2 - 1 2/39/2 - 5/327/6 - 10/617/6 or 2 5/610.
6 1/8 - 2 2/349/8 - 8/3147/24 - 64/2483/24 or 3 11/24