Answer:
(C)1 out of 5,005
Step-by-step explanation:
There are a total of 15 student friends.
Monica wants to invite 6 of her friends.
The number of ways this can be done is:
[tex]^{15}C_6=\dfrac{15!}{(15-6)!6!} \\=\dfrac{15!}{9!6!}\\\\=5005[/tex]
Therefore, the probability that friends Tessa, Guido, Brendan, Faith, Charlotte and Rhianna are chosen
[tex]=\dfrac{1}{5005}[/tex]
Which polynomial is equivalent to (2h − 3k)(h + 5k)?
Answer:
[tex]2h^{2} + 7hk - 15k^{2}[/tex]
Step-by-step explanation:
Distribute (2h − 3k)(h + 5k).
2h^2 + 10hk - 3hk - 15k^2
2h^2 + 7hk 15k^2
Find the radius of the circle whose equation is (x - 2)2 + (y - 4)2 = 9.
O 81
09
3
Answer:
3
Step-by-step explanation:
(x - 2)^2 + (y - 4)^2 = 9
The equation of a circle is written as
(x-h)^2+ (y-k)^2 = r^2
where ( h,k) is the center and r is the radius
(x - 2)^2 + (y - 4)^2 = 3^2
The center is ( 2,4) and the radius is 3
Answer:
r = 3
Step-by-step explanation:
The stock equation for a circle of center (h, k) and radius r is
(x - h)^2 + (y - k)^2 = r^2. Comparing this with the given (x - 2)^2 + (y - 4)^2 = 9, we see that r^2 must be 9 and therefore r = 3.
I have no clue. Somebody help plz!
Answer:
arithmetic, finite
Step-by-step explanation:
Each term is 1 more than the previous term, so there is a common difference of 1. That means the series is arithmetic.
The entire series consists of the 10 terms shown, so the series is finite.
_____
If each term were multiplied by some number to get the next, then it would be a geometric series. If it went on forever, it would be an infinite series.
For the pair of vectors, find U.V.
U=-2i
V=4i
Answer:
8
Step-by-step explanation:
If you want the dot product, here it is: (0)(0) + (-2i)(4i) = 8
Please Help I will mark Brainliest or whatever Match each function formula with the corresponding transformation of the parent function y = (x - 1)∧2 1. y = ( x - 1) 2 - 3 Reflected over the y-axis 2. y = - ( x - 1) 2 Translated up by 1 unit 3. y = ( x + 3) 2 Reflected over the x-axis 4. y = ( x - 2) 2 Translated down by 3 units 5. y = ( x + 1) 2 Translated right by 1 unit 6. y = ( x - 1) 2 + 1 Translated left by 4 units
Answer:
1 -> D
2 -> C
3. -> F
4. -> E
5. -> A
6. -> B
Step-by-step explanation:
Match each function formula with the corresponding transformation of the parent function y = (x - 1)∧2
1. y = ( x - 1) 2 - 3 A. Reflected over the y-axis
2. y = - ( x - 1) 2 B. Translated up by 1 unit
3. y = ( x + 3) 2 C. Reflected over the x-axis
4. y = ( x - 2) 2 D. Translated down by 3 units
5. y = ( x + 1) 2 E. Translated right by 1 unit
6. y = ( x - 1) 2 + 1 F. Translated left by 4 units
Using the standard transformation rules
f(x) -> a*g(bx-h) + k, we can obtain the following results
Answers:
1 -> D
2 -> C
3. -> F
4. -> E
5. -> A
6. -> B
PLEASE HELP!!!
Which graph represents the solutions to the inequality |2x - 6| < 10? (5 points)
Answer:
3
Step-by-step explanation:
To do this you would take absolute value so you get [tex]2x+6\leq 10[/tex] then you would subtract 6 from both sides so you get [tex]2x\leq 10[/tex] then you would divide 2 from both sides so you would get [tex]x\leq 2[/tex] so graph 3 would be the write answer
9. Find the value of x. Using that value, what is the
measurement of ZUTQ?
thank you <3
Answer:
92°
Step-by-step explanation:
We know that [tex]\overline{QV}[/tex] is a straight line which means that we know that ∠QTU + ∠VTU = 180
11x+4+∠VTU = 180
∠VTU = 180-11x-4
∠VTU = 176-11x
Then, using the triangle inequality, we know that ∠VTU+∠TUV+∠UVT = 180
3x+14+54+176-11x=180
-8x+244=180
-8x = -64
x=8
Now we can substitute and solve for ∠UTQ
11(8)+4 = 88+4 = 92°
Answer: 92°
Step-by-step explanation:
(a) Rita is delivering a pizza to Mark's house. She drives at a constant speed toward the house until she hits a traffic jam and has to stop for several minutes
After, she starts up again and drives at a faster speed than before
(b) chai is driving on the freeway at constant speed. He then speeds up to pass a truck. After passing the truck, he exits the freeway and slows down.
Answer:
A.) Option C
B.) Option A
Step-by-step explanation:
A.) Rita is delivering a pizza to Mark's house. We will assume she is starting from rest as She drives at a constant speed toward the house until she hits a traffic jam and has to stop for several minutes. On the graph, the line will be horizontal as she stop for some time.
After, she starts up again and drives at a faster speed than before. The slope of the latter will be greater than the former.
Since the graph is distance - time graph, the best graphical representation for this illustration is C
B.) The is a speed - time graph.
At constant speed, the graphical line will be horizontal. As Chau speed up, that means he accelerated and increased the speed. The slope of the line will be positive. And finally, as he slow down, the car will be decelerating. The slope of the graph will be negative.
The correct graphical representation for this illustration is A
Can someone help me with the question please
Answer:
Purple line: 4
Red dashed line: 2
Blue line: 1/2
Step-by-step explanation:
The purple line is the steepest line, therefore it has the biggest constant of proportionality or slope. Since 4 is the biggest number among the others, we attribute it to the purple line (the one with the point C on it).
Think of it this way:
[tex]y = ax+b \\[/tex]
here [tex]b = 0[/tex] so [tex]y = ax[/tex]
The greater a is, the greater y is. So for any value of x, y will be become bigger and bigger if we increase the value of a.
Take for example this one:
[tex]y = 2x \\[/tex]
Take [tex]x=2\\[/tex] therefore [tex]y =4[/tex]
Now take [tex]y = 4x[/tex] and take [tex]x =2[/tex] therefore [tex]y = 8[/tex]
When we increased this constant of proportionality, as you can see from 2 to 4, the value of y increase from 4 to 8.
Hope this is helpful. Think of it really carefully, and I'm sure you'll grasp the concept.
If water flows 12 feet in 9 seconds through the turbine, how far will the water flow in 54 seconds? If the water continues to flow at this rate, how long will it take the water to travel 54 feet?
Answer:
40.5 sec
Step-by-step explanation:
The flow rate is (12 ft) / (9 sec), or 4/3 ft/ sec.
In 54 sec, the water will have moved
(4/3 ft/sec)(54 sec) = 72 ft.
If the flow rate is 4/3 ft/sec and the distance covered is 54 ft, we divide
54 ft by (4/3 ft/sec) to determine how long it takes the water to flow 54 ft:
54 ft
---------------- = 40.5 sec
(4/3 ft/sec)
Destiny and Guadalupe are shopping. Destiny buys 2 pairs of pants and 6 bracelets and pays $178.Guadalupe buys 3 pairs of pants and 2 bracelets and pays $155. Solve for the price of each item.
For the entirety of this problem, p will represent a pair of pants and b will represent a bracelet.
Step 1) Set up equations for Destiny and Guadalupe
Destiny: 178 = 2p + 6b
Guadalupe: 155 = 3p + 2b
I will be using substitution to solve this problem, but elimination can also be used.
Step 2) Solve Destiny's equation for p
178 = 2p + 6b
178 - 6b = 2p
89 - 3b = p
Step 3) Substitute the found value of p from Destiny's equation into Guadalupe's equation and solve for b
155 = 3(89 - 3b) + 2b
155 = 267 - 9b + 2b
155 = 267 - 7b
-7b = -112
b = 16
Step 4) Use the value of b found in step 3, plug that back into our equation from step 2 and solve for p
89 - 3(16) = p
89 - 48 = p
p = 41
one pair of pants = $16
one bracelet = $41
Hope this helps!! :)
EARTH SCIENCE The order of magnitude of the mass of Earth's
atmosphere is 1018 kilograms. The order of magnitude of the mass of
Earth's oceans is 109 times greater. What is the order of magnitude of the
mass of Earth's oceans?
Answer:
1021
Step-by-step explanation:
1018×103=1018+3=1021
Write an expression of 4 less than twice a number
Answer:
2x-4
Step-by-step explanation:
you can't really explain this, is just have the meaning 4 less twice a number.
I wish this is the correct one and will help you!
Answer:
2x-4
Step-by-step explanation:
Please help
calculate the coefficient of x^14y^4 in the expansion of (x+y)^18
Write an equation of a line that has a y-intercept at (0, -6)
Answer:
[tex]y=x-6[/tex]
Step-by-step explanation:
First to write this equation you will need to know slope intercept form which is the equation that the people that wrote this problem are presumably looking for. Slope intercept form can be simply written as [tex]y=mx+b[/tex] . The variable [tex]m[/tex] would be the slope while the variable [tex]b[/tex] would be the y -intercept.
So to find out this we would have to assume that m or the slope would have to be 1 so we would have [tex]y=1x+b[/tex] or [tex]y=x+b[/tex].
Now we have the first half of the equation we can move on to the variable [tex]b[/tex] or the y-intercept (0,-6) . To find the variable [tex]b[/tex] we will just have to graph the point (0,-6) which as you can see from the picture is the y-intercept and that is -6 units below 0. So the final answer will be [tex]y=x-6[/tex]
Which expression is equivalent to ....
Answer:
Its the first answer 24
Help Help Help ! Math wiz
Answer:
This is not an exponential function because the variable is in the exponent position.
(b) Graph the equation x – 2y = 3
Answer:
Hey there!
Look at the image below ↓
Hope this helps :)
The graph of the given equation x – 2y = 3 is attached below.
How to find the function which was used to make graph?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it. If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
We are given that the equation as;
x – 2y = 3
Therefore, it can be write as;
-2y = -x + 3
-y = -x/2 + 3
Here the slope is -1/2.
Hence, the graph of the given equation x – 2y = 3 is attached below.
Learn more about finding the graphed function here:
https://brainly.com/question/27330212
#SPJ2
Question 8 of 10
What is the value of X?
50°
100"
O.
A. 50°
B. 150°
ОО
C. 1000
D. 30°
Answer:
30 degrees
Step-by-step explanation:
100+50=150
180-150=30
All triangles equal 180 degrees, so if the other angles equal 150 than the third angle equals 30 degrees.
fleur wants to make tables and chairs. She has a total of 150 wooden boards and 330 nails. 17T + 6C ≤ 150 represents the number of tables T and chairs C she can make with 150 Wooden boards. 34T + 27C ≤ 330 represents the number of tables and chairs she can make with 330 nails. Does Fleur have enough boards and nails to make 3 tables and 9 chairs? Choose 1 answer: (Choice A) Fleur has enough boards and nails. (Choice B) Fleur has enough boards but not enough nails. (Choice C) Fleur has enough nails but not enough boards. (Choice D) Fleur has neither enough boards nor enough nails.
Answer::
Choice B : fleur has enough boards but not enough nails
Answer:
Fleur has enough boards but not enough nails.
Step-by-step explanation:
T = 3
C = 9
substitute
HELP PLEASE I REALLY NEED THE HELP ON THIS.
for questions 8 and 9, you just need to use a ruler to fine how many inches, centimeters, or millimeters each line segment is. (make sure to properly read the question to see if they’re asking for the measurement in in, cm, or mm.) i won’t be able to give you these measurements because the picture became smaller when you uploaded it, but it shouldn’t be that hard for you!
for question 10, use a ruler to draw and label your own line segment.
on 10a, draw a line segment that is 3 1/4 inches long, then label one end of the segment ‘H’ and one end ‘J’
for 10b, draw a line segment that is 5 7/16 inches long, then label one end of the segment ‘M’ and the other ‘N’.
FIRST GETS BRAINLLEST A bag contains 150 marbles which are red, green, and blue. Suppose a student randomly selects a marble without looking, records the color, and then places the marble back in the bag. The student has recorded 9 red marbles, 15 green marbles and 6 blue marbles. Predict how many red marbles are in the bag.
Answer:
45 red marbles
Step-by-step explanation:
Okay, so the ratio is 9:15:6. We add that up and we get 30. We do 150/30 and get 5. Each number in the ratio is equal to 5. We do 9*5=45.
Answer:
45 red marbles
Step-by-step explanation:
Out of the 30 marbles picked, 9 were red so that's 3/10 of the smaller sample. If you take 3/10 of 150 to get the value of the larger sample, you will get 45 marbles.
SOMEONE PLEASE HELP A GIRL OUT BRAINLIEST! The diameters of Breaburn apples are normally distributed with a mean of 8.2cm and a standard deviation of 2.8cm. If you had a shipment of 2000 apples, how many apples would have a diameter: a) smaller than 5.9cm? b) larger than 10.2cm?
Answer:
a. 0.2061*2000 apples = 412.20 or about 412 apples.
b. 0.2389*2000 apples = 477.8 or about 478 apples.
Step-by-step explanation:
We have to find the corresponding probabilities using the standard normal table (or also we can use statistics software for doing this).
The parameters for this normal distribution are (without using units):
The mean, [tex] \\ \mu = 8.2[/tex].
The standard deviation, [tex] \\ \sigma=2.8[/tex]
We need to use z-scores, given by:
[tex] \\ z = \frac{x-\mu}{\sigma}[/tex]
For a diameter smaller than 5.9cm, we have:
[tex] \\ z = \frac{5.9-8.2}{2.8}[/tex]
The value for z:
[tex] \\ z = -0.82142 \approx -0.82[/tex]
Then, find the cumulative probability for this z, P(z<-0.82), using the standard normal table (for this, use -0.8 (in right column), and -0.02 in the first row of the table).
Then, P(z<-0.82) = 0.2061
How many apples would have a diameter: a) smaller than 5.9cm?
The answer is 0.2061*2000 apples = 412.20 or about 412 apples.
How many apples would have a diameter: b) larger than 10.2cm?
We can proceed similarly as before. Calculate z, find the cumulative probability using the standard normal table.
[tex] \\ z = \frac{10.2-8.2}{2.8}[/tex]
[tex] \\ z = 0.71428 \approx 0.71[/tex]
Then, P(z<0.71) = 0.7611
But we are asked for P(z>0.71), then (because of the symmetry of the normal distribution):
P(z>0.71) = 1 - P(z<0.71)
P(z>0.71) = 1 - 0.7611
P(z>0.71) = 0.2389
The answer is 0.2389*2000 apples = 477.8 or about 478 apples.
Mark decided to donate a lot of his shirts to two different organizations and keep
the rest. First he 1/10 donated of his shirts to his church, and then he donated 2/3 of
what was left to a consignment shop.
1) What fractional part of his shirts did he donate to the consignment shop?
2) What fractional part of his shirts did he keep?
3) If Mark kept 15 shirts, how many shirts did he donate?
(also please help me with drawing a picture that's a fraction to shade in for the problem)
Answer:
1.) 3/5
2.) 3/10
3.) 50
Step-by-step explanation:
i believe my answers are right, they might be wrong. I'm not that old so I can't solve most of these problems.
1.) to get this, you need to multiply the remaining shirts and 2/3
2.) subtract 1/10, and 3/5 from 1, which equals 3/10
3.) is 3/10 is equal to 15, then 1/10 is equal to 5, 5*10=50
Answer:
1) 3/5
2) 3/10
3) 35
Step-by-step explanation:
For majority of the questions, you just have to multiply the numbers together. I think all of them is right... T-T
sry if its wrong.. :|
Which of the following equations have exactly one solution? Choose all answers that apply:
A -5x+12=-5x-12−5x+12=−5x−12
B -5x+12=5x+12−5x+12=5x+12
C -5x+12=-12x-12−5x+12=−12x−12
D -5x+12=5x-5−5x+12=5x−5
Help plz
Answer:
C
Step-by-step explanation:
Answer:
Step-by-step explanation:
ALGEBRA 1
Find the number of terms in the sequence given below:
1.5, 9, 13, ........, 201
a. 51
b. 42
c. 59
d. 45
Answer:
a. 51
Step-by-step explanation:
[tex]t_{n} =a+(n-1)d[/tex]
201 = 1 + (n - 1)4
200 = (n - 1)4
50 = n - 1
51 = n
Which of the following solution sets represent the inequality 3-1/2x ≥10
Answer: x ≤ -14
Step-by-step explanation:
3 - [tex]\frac{1}{2}[/tex]x ≥ 10
1) You want to subtract 3 from both sides of the equation: 3 - [tex]\frac{1}{2}[/tex]x ≥ 10
-3 -3
------------------------
2) Once you subtract 3 from both sides of the equation you'll be able to cancel out 3-3.
3) After, you'll be left with; -[tex]\frac{1}{2}[/tex]x ≥ 7
4) You'll then want to divide both sides by -[tex]\frac{1}{2}[/tex] to isolate x.
5) Divide 7 by -[tex]\frac{1}{2}[/tex]
6) X ≥ -14, but then you'll want to flip the inequality since you divided by a negative.
7) X ≤ -14
Which function is graphed?
Answer:
the answer is the last one
Step-by-step explanation:
it is in form of f(x) = mx + b and mx is the slope and b is the y intercept
Answer:
f(x)= 2x - 6
Step-by-step explanation:
What is the distance, in units, between P=(−6,8) and Q=(9,8)?
Answer:
15 units
Step-by-step explanation:
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
d = √[(9 - (-6))² + (8 - 8)²]
d = √[(15²) + (0²)]
d = √15²
d = 15
Answer:
15 units
Step-by-step explanation:
9-(-6) = 15
Write the function f(x) = x^2 + 8x + 12 in vertex form. Enter all work. Please help me.
Hello!
Answer:
f(x) = (x + 4)² - 4
Step-by-step explanation:
Write the equation f(x) = x² + 8x + 12 in vertex form by completing the square:
f(x) = (x² + 8x + (8/2)²) + 12 - (8/2)²
Simplify:
f(x) = (x² + 8x + 16) + 12 - 16
Subtract to find the 'k' value:
f(x) = (x + 4)² - 4. This is the equation in vertex form.