Answer:
554400
Step-by-step explanation:
To answer this question, we use combination as we are just interested in selection rather Than arrangement.
Beyonce songs ; 3 from 8 = 8C3
Justin ; 4 from 12 = 12C4
Drake ; 2 from 5 = 5C2
Version of happy birthday = 1 from 2 = 2C1
Recall :
nCr = n! ÷ (n-r)!r!
However, the answers can also be obtained using a calculator :
8C3 * 12C4 * 5C2 * 2C1 = 554400 different mix
The points (4,1) and (x, -6) lie on the same line. If the slope of the line is 1, what is the value of x? A. X = -3 B. X = 3 C. X = 9 D. X = 11
Answer:
Step-by-step explanation:
Use the slope formula here along with the fact that the slope is equal to 1:
[tex]1=\frac{-6-1}{x-4}[/tex] and
[tex]1=\frac{-7}{x-4}[/tex] and cross multiply to get x - 4 = -7 so
x = -3
Confused on this work
We know that :
⊕ Sum of the interior angles in a Pentagon should be equal to 540°
⇒ x° + (2x)° + (2x)° + 90° + 90° = 540°
⇒ (5x)° = 540° - 180°
⇒ (5x)° = 360°
[tex]\sf{\implies x^{\circ} = \dfrac{360^{\circ}}{5}}[/tex]
⇒ x° = 72°
A basketball team had four players tryout for each of the five positions. How many ways could the team be formed?
Answer:
120
Step-by-step explanation:
i dont know the exact reason but the formula to problems like this is the actual number which is 5 in this sitaution and then multiply the numbers below it. For the equation i did 5x4x3x2x1 and i got 120
Shape a and shape b are each made from four identical sqaures the perimeter of shape a is 56 cm work out shape b
Answer:
44.8 cm
Step-by-step explanation:
Given
See attachment for shapes
[tex]P_A= 56cm[/tex]
Required
The perimeter of B
Let the length of a side of the square that makes up A be, l.
So, we have:
[tex]P_A = 10 * l[/tex] --- because A is formed by 10 sides of l
[tex]56 = 10 * l[/tex]
[tex]l =\frac{56}{10}[/tex]
[tex]l =5.6[/tex]
The perimeter of B is:
[tex]p_B = 8*l[/tex] --- because B is formed by 8 sides of l
[tex]p_B = 8*5.6[/tex]
[tex]p_B = 44.8[/tex]
find the length of side x in simplest radical form with a rational denominator.
======================================================
Explanation:
Both legs are the same length, as indicated by the tickmark.
a = [tex]\sqrt{10}[/tex]b = [tex]\sqrt{10}[/tex]c = xUse the pythagorean theorem to solve for x
[tex]a^2+b^2 = c^2\\\\( \sqrt{10} )^2 + ( \sqrt{10} )^2 = x^2\\\\10 + 10 = x^2\\\\x^2 = 20\\\\x = \sqrt{20}\\\\x = \sqrt{4*5}\\\\x = \sqrt{4}*\sqrt{5}\\\\x = 2\sqrt{5}\\\\[/tex]
Jackson has a monthly sabry of $2750. He also resensies 2.5% commission on all sales over $6000. What is his salary in a month when he has sales of $ 14000
Answer:
$3100
Step-by-step explanation:
Just do 0.025*14000=350. Then add it to $2750
Find the value of X and BD
Answer:
x = 2, BD = 13
Step-by-step explanation:
Given 2 intersecting chords , then
The product of the parts of one chord is equal to the product of the parts of the other chord, that is
4(5x - 1) = 6 × 6 = 36 ( divide both sides by 4 )
5x - 1 = 9 ( add 1 to both sides )
5x = 10 ( divide both sides by 5 )
x = 2
Then
BD = 5x - 1 + 4 = 5(2) + 3 = 10 + 3 = 13
The points (6, 9) and (0, 6) fall on a particular line. What is its equation in slope-intercept form?
Answer:
[tex]y = \frac{1}{2}x + 6[/tex]
Step-by-step explanation:
[tex]Let \ (x _1 y _ 1 ) = ( 6 , 9 ) \ and \ (x _ 2 , y _ 2 ) \ = ( 0 , 6 )\\\\[/tex]
Step 1 : Find slope, m
[tex]slope, m = \frac{y _ 2 - y _ 1}{x_ 2 - x_ 1 } = \frac{6 - 9}{0 - 6 } = \frac{-3}{-6} = \frac{1}{2}[/tex]
Step 2 : Find the equation
[tex](y - y _ 1 ) = m ( x - x_ 1) \\\\( y - 9 ) = \frac{1}{2} (x - 6 ) \\\\y = \frac{1}{2}x - 3 + 9 \\\\y = \frac{1}{2}x + 6[/tex]
Answer:
y = 1/2x + 6
Step-by-step explanation:
y = mx + b is the formula. m is the slope and to calculate that you use the slope formula y2 - y1/ x2 - x1.
(6, 9) is the first coordinate so 6 is x1 and 9 is y1. Similarly in (0, 6), x2 is 0 and y2 is 6. Now if we put that into the slope formula it would look something like this: 6-9/0-6. that comes to -3/-6. simplify and cancel out the negatives and you get 1/2 which is the m ( slope).
The b is the y-intercept, which is the y value for where the x is 0. In this question, they already give you the coordinate where x is 0. (0, 6). x is 0 and y is 6. therefore the b (y-intercept) is 6.
Put all of this into y =mx +b, and you get y= 1/2x + 6.
If you want to make sure you did it right, just plug in one of the coordinates into this equation. Let's use (6, 9).
9 = 1/2 (6) + 6
9 = 3 + 6
9 = 9. It works out, therefore the equation right.
Hope this helps
If h(2) = 5 – 722, what is h(-1)?
Answer:
Step-by-step explanation:
PLEASE PLEASE PLEASE HELP ME!!! IM SO CLOSE TO GETTING THE SCORE I NEED
explaining your answer = brainliest
The radius of a circle is 2 kilometers. What is the area of a sector bounded by a 36° arc?
answer has to be in SIMPLEST form
Answer:
[tex]\frac{2}{5} \pi[/tex] [tex]km^{2}[/tex]
Step-by-step explanation:
In this problem, we will use the following formula:
A = [tex](\frac{C}{360}) \pi r^{2}[/tex] , where r = radius & C = central angleStep 1: Plug in for C and r.
A = [tex](\frac{C}{360} )\pi r^{2}[/tex]A = [tex](\frac{36}{360})\pi 2^{2}[/tex]Step 2: Solve.
A = [tex](\frac{1}{10})4\pi[/tex]A = [tex]\frac{2}{5} \pi[/tex]Final answer (simplified & exact): [tex]\frac{2}{5} \pi[/tex] [tex]km^{2}[/tex]
Sorry it took so long to complete... kinda started with the wrong answer... But I hope this helps and that you have a great rest of your day!
Can you help me solve this please by telling my how they are congruent. please your my only hope....
Answer:
they are congruent im pretty sure
Step-by-step explanation:
looks like they are congruent by SAS
I
5 : 20 = 125 : 500
Answer:
20
Step-by-step explanation:
integers between -2 and +3
Answer:
-1, 0, 1, 2,
Step-by-step explanation:
Date:
ASSIGNMENT: Wages and Salaries
1. Martha works as a window dresser in her hometown
of Victoria, BC. To finish a window at a local clothing
store, she charged $16.72 per hour. If it takes her
five hours to finish the window, how much will her
gross pay be for the job?
What is the equation of a line passing through the points (2, -6) and (4, -16) in slope-intercept form
Answer:
y=-5x+4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-16-(-6))/(4-2)
m=(-16+6)/2
m=-10/2
m=-5
y-y1=m(x-x1)
y-(-6)=-5(x-2)
y+6=-5(x-2)
y+6=-5x+10
y=-5x+10-6
y=-5x+4
What is the area of the square
One side has 5 feet
A)10 square feet
B) 25 square feet
C) 20 square feet
D) 5 square feet
can someone help me !
Answer:
Wouldn't it be B?
Step-by-step explanation:
When you have a radical like -[tex]\sqrt{25}[/tex], it would be -5 because the negative is added after the radical is simplified. When the negative is in the inside like your [tex]\sqrt{-25}[/tex], then you can ignore the negative temporarily and simplify to get 5. Then you add an imaginary number.
So it would be 5i?
5si = good
- 3/8 + 1/6
i kinda just didn't pay attention in class, i just need an explaination of how to solve it and im good to go
Answer:
[tex]{ \tt{ - \frac{3}{8} + \frac{1}{6} }} \\ { \bf{l.c.m \: of \: 8 \: and \: 6 = 24}} \\ { \tt{formular = \frac{(l.c.m \times denominator \div numerator)}{l.c.m} }} \ \\ \\ = \frac{(24 \times 8 \div - 3) + (24 \times6 \div 1)}{24} \\ = - \frac{5}{24} [/tex]
Please only respond if you know it’s correct
NEED HELP ASAP PLS
10. Jimmy was a busboy and makes 7.15 per hour. Ashley is a server and makes 3.40 per hour plus about $105 in tips per week. how many hours would they have to work to make the same amount?
Answer: 28 hours
Step-by-step explanation:
1. Write original equation: 7.15x=3.40x+105
2. Combine like terms to isolate x: 3.75x=105
3. Divide both sides by same amount to find x: x=28
They would have to work 28 hours to earn the same amount of money.
Andrew can paint the neighbor's house 6 times as fast as The year and worked together, it took them 5 days. How long would it take each to paint the house?
Answer: [tex]\dfrac{35}{6}\ \text{days},\ 35\ \text{days}[/tex]
Step-by-step explanation:
Given
Andrew can paint times faster than the other
Suppose the other person take 6x days
So, andrew takes only x days to paint alone
When they work together, it took them 5 days i.e.
[tex]\Rightarrow \dfrac{1}{x}+\dfrac{1}{6x}=\dfrac{1}{5}\\\\\Rightarrow \dfrac{6+1}{6x}=\dfrac{1}{5}\\\\\Rightarrow x=\dfrac{35}{6}\ \text{days}[/tex]
So, time taken by the to finish individually is given by
[tex]\Rightarrow \text{Andrew= }\dfrac{35}{6}\ \text{days}\\\\\Rightarrow \text{Other Person}=6\times \dfrac{35}{6}\\\\\Rightarrow \text{Other Person}=35\ \text{days}[/tex]
Do y’all know this?
Answer:
Step-by-step explanation:
x=[tex]\sqrt{100+16}[/tex]
x=[tex]\sqrt{116}[/tex]
x=2[tex]\sqrt{29[/tex]
Answer:
[tex] x = \blue{2\sqrt{29}} [/tex]
Step-by-step explanation:
[tex] a^2 + b^2 = x^2 [/tex]
[tex] 4^2 + 10^2 = x^2 [/tex]
[tex] 16 + 100 = x^2 [/tex]
[tex] x^2 = 116 [/tex]
[tex] x = \sqrt{116} [/tex]
[tex] x = \sqrt{4 \times 29} [/tex]
[tex] x = \blue{2\sqrt{29}} [/tex]
1. Find the numbers a, b, c such that
2x4 + 2x3 +5x2 + 3x + 3 = (x2 + x +1)(ax2+bx+c)
for all values of x.
Answer:
a = 2
b = 0
c = 3
Step-by-step explanation:
if I understand correctly the problem should look like
2x⁴ + 2x³ + 5x² + 3x + 3 = (x² + x + 1)(ax² + bx + c)
let's calculate the right side
ax⁴ + ax³ + ax² + bx³ + bx² + bx + cx² + cx + c
as there is only one term of x⁴, we know a = 2
as there is only one term without any x, we know c = 3
now we get
2x⁴ + 2x³ + 2x² + bx³ + bx² + bx + 3x² + 3x + 3
remember, that is equal to
2x⁴ + 2x³ + 5x² + 3x + 3
after subtracting 2x⁴ and 3 from both sides we get
2x³ + 5x² + 3x = 2x³ + 2x² + bx³ + bx² + bx + 3x² + 3x
we subtract 2x³ and 3x from both sides and get
5x² = 2x² + bx³ + bx² + bx + 3x² = 5x² + bx³ + bx² + bx
we subtract 5x² from both sides and get
0 = bx³ + bx² + bx
=> b must be 0 to make this true for all values of x
Pls pls help it would mean so much!!! The function is f(x)=x^2+4x-1
Tyyyyy
Answer:
the function is decreasing on the interval (-∞,-2) and increasing on the interval (-2,∞)
B
Step-by-step explanation:
first we take the first derivative
x²+4x-1 = 2x+4
set this equal to 0 and solve
2x+4= 0
2x= -4
x= -2
we then have two intervals
(-∞,-2) u (-2,∞)
to find out whether something is decreasing on increasing on these intervals just plug in any number in the interval
if the result is positive it's increasing
if it's negative it's decreasing
Let's plug in x= -4 for the interval (-∞, -2)
2(-4)+4= -4
it's negative so it's decreasing on this interval
let's then plug in x=0 for the interval (-2,∞)
2(0)+4= 4
this is positive so it's increasing on this interval
So the function is decreasing on the interval (-∞,-2) and increasing on the interval (-2,∞)
which is equal to to B
Help me please and thank you
Step-by-step explanation:
i dont know i guess we'll never know
The initial temperature of a cup of hot coffee is 46.8°C. After 20 minutes,the temperature of the coffee has reduced by 12.6°C. What is the temperature,in °C,of the coffee now?
Answer:
The current temperature = 34.2°C
Step-by-step explanation:
Initial temperature = 46.8°C
After 20 minutes temperature reduced by 12.6°C
Therefore, the current temperature is = 46.8°C - 12.6°C = 34.2°C
Complete the angle addition postulate for the following angle
Answer: AOB
This is because angle AOB on top adds with BOC down below to get the largest angle AOC. See the diagram below.
Darrel receives a weekly salary of $435. In addition, $12 is paid for every item sold in excess of 100 items. How much will Darrel earn for the week if he sold 189 items?
Answer:
2703
explanation:
12×189=2268
2268+435=2703
Darrel earned 1503 dollars that week.
How to count no. of digits from a certain no. to a certain no. ?Suppose we are given how many no. are there from 224 to 358.
To find do the following (358 - 224 + 1) = 135 numbers.
According to the question Darrel receives a weekly salary of 435 dollars. In addition, 12 dollars is paid for every item sold in excess of 100 items.
Here excess of 100 items means after 100 which is 101.
He sold 189 items so his addition earning is for (189 - 101 + 1) = 89 items.
Given for each item he is paid 12 dollars.
∴ For 89 items he is paid (89 × 12) dollars which is
= 1068 dollars.
So in that week Darrel earns total of (435 + 1068) dollars.
= 1503 dollars.
Learn more about these types of problems here :
https://brainly.com/question/16093003
#SPJ2
carlos is using a hose to fill a bucket. the path of the water can be represented by the function f(t) where f(t) represents the height of the water in inches and t represents the time in seconds.
Answer:
The function represents the height of the water in the bucket
Step-by-step explanation:
Given
[tex]f(t) = -t^2 + 4t[/tex]
Required
State what the function represents
From the question, we understand that t represents the time spent while the function illustrates the water level in the bucket.
This implies that f(t) calculates the height of the water in the bucket, given the value of time (t)
If a test consists of ten mulitpel choice questions,with each permiting aposible answers.How mmany ways are ther in wvhich a student give his answer?
The question given is incomplete, find the possible version in the comment below.
Answer:
9765625 ways
Step-by-step explanation:
To solve questions of this kind, we can apply the product rule ;
We have 10 different questions, each with 5 alternative options, even though there is only one correct answer, the number of answers that can be chosen (either correct or incorrect) is 5 ;
Therefore, we have 5 possible choices for each question :
Question 1 = 5 ; question 2 = 5,....
This can be written as :
5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 = 5^10 = 9765625 ways