Answer:
2.5
Step-by-step explanation:
2.5(4k+2) =12k
2.5*6k=12k
Answer: 2.5
Step-by-step explanation:
17n=0.5n what is the value of n
Answer:
N=0
Step-by-step explanation:
If we wanted to answer the question mathematically, we could solve like so:
17n=0.5n
17n-0.5n=0.5n-0.5n
16.5n=0
n=0
Verify the identity cosx cos(-x) - sinx sin(-x) =1
Answer:
(identity has been verified)
Step-by-step explanation:
Verify the following identity:
cos(x) cos(-x) - sin(x) sin(-x) = 1
Hint: | Cosine is an even function.
Use the identity cos(-x) = cos(x):
cos(x) cos(x) - sin(-x) sin(x) = ^?1
Hint: | Sine is an odd function.
Use the identity sin(-x) = -sin(x):
cos(x) cos(x) - -sin(x) sin(x) = ^?1
Hint: | Evaluate cos(x) cos(x).
cos(x) cos(x) = cos(x)^2:
cos(x)^2 - ( - sin(x) sin(x)) = ^?1
Hint: | Evaluate -(-sin(x)) sin(x).
-(-sin(x)) sin(x) = sin(x)^2:
cos(x)^2 + sin(x)^2 = ^?1
Hint: | Use the Pythagorean identity on cos(x)^2 + sin(x)^2.
Substitute cos(x)^2 + sin(x)^2 = 1:
1 = ^?1
Hint: | Come to a conclusion.
The left hand side and right hand side are identical:
Answer: (identity has been verified)
What is the measure of X ?
Answer:
38
Step-by-step explanation:
Since 88 and the angle inside the triangle right next to it are a linear pair, their measure must add up to 180 degrees. Therefore, that angle's measure must be 180-88=92 degrees. Since all of the interior angles of a triangle must add up to 180 degrees as well, 50+92+x=180, meaning that x=180-92-50=38 degrees. Hope this helps!
Answer: 38°
Step-by-step explanation:
180-88 = 92°
180-92-50= 38°
i need the answer now!!
Answer:
10 ft^3
Step-by-step explanation:
if a cube is 1/3ft then 3 cubes = 1ft
then 30 cubes = 10ft^3
The length of a rectangle is x. The length and width add up to 10 inches. What is the maximum area of the rectangle? Please provide steps on how solve!
Answer:
[tex]Area=25\,\,in^2[/tex]
Step-by-step explanation:
The length of the rectangle is unknown and is defined with the letter "x". Notice that the width of the rectangle is also unknown, so we can name it 'y".
Recall the formula for the area of a rectangle (length times width), and notice that it is this quantity the one we need to maximize (find the maximum possible value).
We use the other information provided to represent the rectangle's with (y) in terms of "x" :
length + width = 10 inches
x + y = 10
Therefore, y = 10 - x
Now we use this expression for "y" in the product for the area;
[tex]Area= x\,*\,y\\Area=x\,(10-x)\\Area=10x-x^2\\Area=-x^2+10x[/tex]
Notice that this quadratic expression corresponds to a parabola with branches pointing down (negative leading term), so its maximum value would be given at the vertex of the parabola.
Now recall that the formula for the x-value of a parabola's vertex when its function is of the form [tex]f(x)=ax^2+bx+c[/tex]
is given by:
[tex]x_{vertex}=-\frac{b}{2a}[/tex]
which in our case where "a" = -1 and "b" = +10, gives:
[tex]x_{vertex}=-\frac{b}{2a}\\x_{vertex}=\frac{-10}{2(-1)}\\x_{vertex}=\frac{-10}{-2}\\x_{vertex}=5[/tex]
Then the maximum value for the Area can be obtained by replacing "x" with "5" in the area formula:
[tex]Area=-x^2+10x\\Area=-(5)^2+10\,(5)\\Area=-25+50\\Area=25\,\,in^2[/tex]
Therefore, the area of the rectangle is [tex]25\,\,in^2[/tex]
Please help with the question below
Answer:
0, 120, 120, 150
Step-by-step explanation:
0, 120, 120, 150
Just multiply the speeds by the hour.
0 * 60 = 0
2 * 60 = 120
120 + 0 * 0.5 = 120
30 * 1 + 120 = 150
Three of the vertices of a trapezoid are A(3,-3), B(12, 6) and C(4,8). The fourth vertex is labeled D. One of its bases is AB
What is the equation of the line that includes base CD?
Answer:
y = x + 4
I graphed all the points, and the line that goes through AB is y = x - 6. The bases of a trapezoid are parallel, so the slope on the line CD has to be the same. I graphed the point C and just tried different y-intercepts to see which line would go through C.
Jasmine, Georgia, and Olivia are in boats on a lake. Their
relative locations are shown in the diagram.
What is the distance from Georgia's boat to Olivia's boat?
Enter your answer in the box. Round your final answer to the
nearest whole number.
ft
Answer:
52 feet
Step-by-step explanation:
Took the test
What is the area of a circle that has a radius of 16.25? USE 3.14 FOR PI!!!!
DO NOT ROUND.
Answer:
730.61664
Step-by-step explanation:
area equals πr2=π·15.252≈730.61664
Answer:
829.15625 units squared
Step-by-step explanation:
The formula for area is A= 3.14 * (r^2). 16.25^2 is 264.0625. 3.14 * 264.0625 is 829.15625.
Misty, Tina and Jen walk into a store. The manager places his hand on Tina’s shoulder and tells her, “You didn’t win the door prize.” Then he looks at Jen and Misty and says, “But one of you did.” What is the probability that Jen has won?
A. 50%
B. 25%
C. 75%
D. 100%
Answer:
50%
Step-by-step explanation:
3 of them walk into a store, giving her a 33.333% chance of winning. By eliminating one, Tina may as well have never walked into the store, leaving Jen with a 50% chance.
Answer:
A.50%
Step-by-step explanation:
The diagram shows two sets of vectors that result in a single vector. What are the first two steps for finding the magnitude of the resultant vector?
A. Find the square of the first horizontal vector and the square root of the first vertical vector
B. Find the square root of the first horizontal vector and the square root of the second horizontal vector
C. Find the sum of the two horizontal vectors in the summer for two vertical vectors
D. Find the difference between the two horizontal vectors and the difference between the two vertical vectors
C. Find the sum of the two horizontal in the summer for two vertical vectors.
Answer:
Can confirm C is right i got 100 on the unit test
Step-by-step explanation:
What is the value of y?
Answer: ∠JKM = 106\textdegree and
∠JKM = 74\textdegree
Step-By-Step-Explanation
Since we have given that
∠JKM=10y+6
∠MKL=8y-6
Since they are linear pairs ,
So,
∠JKM =
and
∠MKL =
Why is partitioning a directed line segment into a ratio of 1:3 not the same as finding 1/3 the length of the directed line segment?
Answer:
The answer is C on Edge or "The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4."
Step-by-step explanation:
Bonita drove 8 miles from her home to the library, and then drove back. Graph A shows her distance from home during the trip. Graph B will show her distance from the library during the trip. Complete each statement about Graph B.
completely factor -6x^3+11x^2+10x
Answer:
-x (2 x - 5) (3 x + 2)
Step-by-step explanation:
Factor the following:
-6 x^3 + 11 x^2 + 10 x
Factor -x out of -6 x^3 + 11 x^2 + 10 x:
-x (6 x^2 - 11 x - 10)
Factor the quadratic 6 x^2 - 11 x - 10. The coefficient of x^2 is 6 and the constant term is -10. The product of 6 and -10 is -60. The factors of -60 which sum to -11 are 4 and -15. So 6 x^2 - 11 x - 10 = 6 x^2 - 15 x + 4 x - 10 = 2 x (3 x + 2) - 5 (3 x + 2):
-x 2 x (3 x + 2) - 5 (3 x + 2)
Factor 3 x + 2 from 2 x (3 x + 2) - 5 (3 x + 2):
Answer: -x (2 x - 5) (3 x + 2)
Find the area of the following shapes: c
Answer:
20
Step-by-step explanation:
First, you need to find the length of each of the bases of this trapezoid. YZ has length 5-2=3, while XW has length 8-1=7. The average of these is 5, meaning that since the height of this trapezoid is 5-1=4, the area is 4*5=20. Hope this helps!
What is the value of x in the equation 3x -
by = 18, when y = 272
5
7
45
63
Mark this and return
Save and Fit
Need help Asap plz and thank you!
Given m
Find the value of x in the triangle... Then classify the triangle as acute, right or obtuse
34°, acute
134°, obtuse
44°, right
54°, acute
Answer:
x = 44
right
Step-by-step explanation:
The sum of the angles in a triangle add to 180
90+ 46+x = 180
Combine like terms
136+x = 180
Subtract 136 from each side
136+x-136=180-136
x =44
Since we have a 90 degree angle it is a right triangle
What is the solution
Answer:
15
Step-by-step explanation:
f(x)=5x
g(x)=3x+3
(fog)(x)=f[g(x)]=f(3x+3)=5(3x+3)=15x+15
(fog)(0)=15(0)+15=15
Answer:
15
Step-by-step explanation:
First find g(0) =
g(0) = 3*0 +3
g(0) =3
Then put this into f(x)
f(g(0) ) = f(3) = 5*3 = 15
1. How many possible outcomes are there for flipping a coin three times
1. 3
2. 14
3. 8
2. What is the theoretical probability of all three flips being heads
1. 1/8
2. 3/8
3. 1/2
3. What is the probability of thete being at least one tail
1. 1/8
2. 1/2
3.7/8
Answer:
1. 14
2. 1/8
3. 7/8
Step-by-step explanation:
Find measure of angle PRS pleaseee urgent!!
Answer:
142 degrees
Explanation:
First, you are going to estimate. You can quickly see that the angle is more than 90 degrees. The only option more than 90 degrees os 142 degrees.
Answer:
142
Step-by-step explanation:
Then plug it in
Solve the following equation using algebraic operations 3( x-4)= -18
Answer:
x=-2
Step-by-step explanation:
3( x-4)= -18
Divide each side by 3
3( x-4)/3= -18/3
x-4= -6
Add 4 to each side
x-4+4 = -6+4
x = -2
Answer:
x+ -2
Step-by-step explanation:
-18/3= -6 -6+4=-2
Pleaseeeeee HELP!!! ASAP
Answer:
I think its D
Determine the approximate ordered pair for f(x) = g(x)
(3, 12)
(3,18)
(12,3)
(18, 3)
Answer:
(3,18)
Step-by-step explanation:
Five of Teddy’s six cousins can
do 15 push-ups in one set. Which
decimal is equivalent to the fraction
of Teddy’s cousins who can do
15 push-ups?
Answer: 0.83
Step-by-step explanation:
The fraction of Teddy's cousins what can do push-ups is [tex]\frac{5}{6}[/tex]. We get this fraction because the problem states that 5 of Teddy's 6 cousins can do 15 push-ups. Now that we have our fraction, we divide to get our decimal.
[tex]\frac{5}{6} =0.83[/tex]
Answer:
0.83 with the 3 as the repeating number (3 with the line over it)
Step-by-step explanation:
5 divided by 6
Which of the following phrases translates to 8 - m?
the difference between a number and eight
eight decreased by a number
eight subtracted from a number
a number minus eight
Answer: B) eight decreased by a number
Step-by-step explanation:
decreased = subtraction, therefore, eight decreased by a number is 8 - m.
Use the given figure to find the length of x.
Answer:
x = 18
Step-by-step explanation:
This problem can be solved using concept of Pythagoras theorem.
Pythagoras theorem states that in a right angled triangle, if "a" and "b" are sides containing the right angle and h is hypotenuse then the relation between them is [tex]a^2 + b^2 = h^2[/tex]
_________________________________________
Given in the problem
a = 24
b = x
h = x+12
applying Pythagoras theorem
[tex]24^2 + x^2 = (x+12)^2\\=> 576 + x^2 = x^2 + 24x + 144\\=>576 = x^2 + 24x + 144 - x^2\\=> 576 = 24x + 144 \\=> 576 - 144= 24x\\=> 432 = 24x\\=> x = 432/24 = 18[/tex]
for (x+12)^2 we have used formula [tex](a+b)^2 = a^2 + 2ab + b^2[/tex]
Thus, value of x is 18.
please help! urgent
The cost of renting a community center is $100, with and additional $10 per guest.
Which graph has the most appropriate scales and units for this situation? (pictures attached)
Answer:
I think it is A
Step-by-step explanation:
the reason i am saying A is that you don't really know how many guests are coming it could be 10 or 15 or even more.
Answer:
Ok so it is A, I'm almost positive because the first fee is 100 but if you add ten people it is two hundred. the price is DEPENDANT on the amount of people so people is the Independent variable or (x) and cost is the dependent variable or (y) graph A lines up perfectly because if you have ten additional people you have 10 x the cost per person wich = 10 and 10 x 10=100, if you start with 100 as the base cost and add 100 in additional people you will owe 200
Step-by-step explanation:
HOLD ON if you are taking this test in plato/edmentum it will be a diffrent answer but the same graph, just try to find the same graph as graph A
Two whole numbers have a least common multiple (LCM) of 40.
• Each number is greater than 2.
• The greatest common factor (GCF) of the two numbers is 2.
What are the two numbers?
1.
20 and 2
2.
10 and 8
10 and 4
4.
8 and 5
pls this is due in 10 minutes pls help.
Answer:
10 and 8
Step-by-step explanation:
Case 1:
20 and 2
20 = 2^2 x 5
2 = 2^1
=> LCM = 2^2 x 5 = 20 (not 40)
=> Incorrect pair of numbers
Case 2:
10 and 8
10 = 2 x 5
8 = 2^3
=> LCM = 2^3 x 5 = 40
=> GCF = 2
=> Correct pair of numbers
Case 3:
10 and 4
10 = 2 x 5
4 = 2^2
=> LCM = 2^2 x 5 = 20 (not 40)
=> Incorrect pair of numbers
Case 4:
8 and 5
8 = 2^3
5 = 5 x 1
=> GCF = 1 (not 2)
=> Incorrect pair of numbers
Hope this helps!
:)
The numbers which have the least common multiple (LCM) of 40 and greatest common factor (GCF) of the two numbers is 2 are 8 and 10.
Wht are LCM and GCF?The LCM (Lowest Common Multiple) of two or more numbers is the smallest number among all common multiples of the provided numbers. In contrast, the greatest common factor (GCF) is the highest number among all the common factors of the given numbers.
Given that, two whole numbers have the least common multiple (LCM) of 40. and greatest common factor (GCF) of the two numbers is 2.
Let the two numbers be x and y
Now, we know that,
LCM (a, b) × HCF (a, b) = a × b.
40 × 2 = xy
xy = 80
Therefore, the product of two number is 80.
Now, from the given options, the only pair having product 80 is 8 and 10.
Therefore, the numbers are 8 and 10.
Hence, the numbers which have the least common multiple (LCM) of 40 and greatest common factor (GCF) of the two numbers is 2 are 8 and 10.
Learn more about LCM and GCF, click;
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