Answer:
There are 6,227,020,800 different ways to order the 13 people.
Solve for x. 4(3x - 5) = 7(2x + 3).
Answer:
x = -20.5
Step-by-step explanation:
Simplifying
4(3x + -5) = 7(2x + 3)
Reorder the terms:
4(-5 + 3x) = 7(2x + 3)
(-5 * 4 + 3x * 4) = 7(2x + 3)
(-20 + 12x) = 7(2x + 3)
Reorder the terms:
-20 + 12x = 7(3 + 2x)
-20 + 12x = (3 * 7 + 2x * 7)
-20 + 12x = (21 + 14x)
Solving
-20 + 12x = 21 + 14x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-14x' to each side of the equation.
-20 + 12x + -14x = 21 + 14x + -14x
Combine like terms: 12x + -14x = -2x
-20 + -2x = 21 + 14x + -14x
Combine like terms: 14x + -14x = 0
-20 + -2x = 21 + 0
-20 + -2x = 21
Add '20' to each side of the equation.
-20 + 20 + -2x = 21 + 20
Combine like terms: -20 + 20 = 0
0 + -2x = 21 + 20
-2x = 21 + 20
Combine like terms: 21 + 20 = 41
-2x = 41
Divide each side by '-2'.
x = -20.5
In ΔEFG, the measure of ∠G=90°, the measure of ∠E=6°, and GE = 71 feet. Find the length of EF to the nearest tenth of a foot.
Answer:
71.4
Step-by-step explanation:
cos 6 = 71 / x = 71.4
f(x)=1/4x-2 graph the function and the inverse
Answer:
Graph is below
Inverse: y=x/4 -2
y=x/4 -2
x=y/4 -2
x=y/4 -2 for y
Answer: y=4x+8
Step-by-step explanation:
Just 9 it’s just too much for me and please don’t mind the pencil marks
9514 1404 393
Answer:
1,493,582.81 ft²
Step-by-step explanation:
The area of one triangular face is found using the formula for the area of a triangle:
A = 1/2bh
A = 1/2(755.9 ft)(610 ft) = 230,549.5 ft²
The base area is the area of a square 755.9 ft on a side:
A = s²
A = (755.9 ft)² = 571,384.81 ft²
Then the total surface area of the pyramid is the sum of the the areas of four (4) triangular faces and the area of the base.
SA = 4(230,549.5 ft²) +571,384.81 ft²
SA = 1,493,582.81 ft²
_____
Additional comment
That is about 34.3 acres.
Please help desperate
Answer: The first one is x=2
The second one is x=1
The third one is x=2
Step-by-step explanation:
Answer:hey i have the solution for you if you have a phone download socratic. Just take a picture of the entire thing and it will pull up the exact answers
Step-by-step explanation:
Someone please help me.
Answer:
the 1/5 one is 0.95
Step-by-step explanation:
look it up, silly also im sorry if i got in wrong i need help too and no one is helping me so im helping other people (well trying too)
Olivia collect square pieces of cloth to make a quilt. She keeps the square pieces of cloth in a craft box. She has 18 purple squares ,34 green squares, 14 white squares, 26 blue squares, and 8 black squares. She selects one square at random and returns it to the craft box then she selects a second Square, at random what is the probability that the first Square selected is white and the second Square select it is purple
Answer:
[tex]P(White\ and\ Purple) = 2.52\%[/tex]
Step-by-step explanation:
Given
[tex]Purple = 18[/tex] [tex]Green = 34[/tex] [tex]White = 14[/tex]
[tex]Blue = 26[/tex] [tex]Black = 8[/tex]
Required
Probability of first selecting white and then selecting purple
The total boxes is:
[tex]Total = 18+34+14+26+8[/tex]
[tex]Total = 100[/tex]
The probability is represented as:
[tex]P(White\ and\ Purple)[/tex]
And the solution is:
[tex]P(White\ and\ Purple) = P(White) * P(Purple)[/tex]
[tex]P(White\ and\ Purple) = \frac{n(White)}{Total} * \frac{n(Purple)}{Total}[/tex]
[tex]P(White\ and\ Purple) = \frac{14}{100} * \frac{18}{100}[/tex]
[tex]P(White\ and\ Purple) = \frac{14*18}{100*100}[/tex]
[tex]P(White\ and\ Purple) = \frac{252}{10000}[/tex]
[tex]P(White\ and\ Purple) = 0.0252[/tex]
or
[tex]P(White\ and\ Purple) = 2.52\%[/tex]
Given that n is an integer, prove that 6 is a factor ofn3+ 5n
Answer:
n3+5n=6
taking common as n
n(5+3)=6
n8=6
Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. A pollster contacts 76 people in the 18-21 age bracket and finds that 65 of them respond and 11 refuse to respond. When 281 people in the 22-29 age bracket are contacted, 263 respond and 18 refuse to respond. Assume that 1 of the 357 people is randomly selected. Find the probability of getting someone in the 22-29 age bracket or someone who agreed to respond.
Answer:
0.9692 = 96.92% probability of getting someone in the 22-29 age bracket or someone who agreed to respond.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Find the probability of getting someone in the 22-29 age bracket or someone who agreed to respond.
357 people.
281 in the 22-29 age bracket + 65 in the 18-21 that agree to respond. So
[tex]p = \frac{281+65}{357} = 0.9692[/tex]
0.9692 = 96.92% probability of getting someone in the 22-29 age bracket or someone who agreed to respond.
Factorise the following.
Answer:
Step-by-step explanation:
i). [tex]\frac{48a^3}{6a}=\frac{6\times 8\times a\times a^2}{6a}[/tex]
[tex]=\frac{6a}{6a}\times 8a^2[/tex]
= 8a²
ii). [tex]\frac{72a^3b^4c^5}{8ab^2c^3}[/tex] = [tex]\frac{8\times 9\times a\times a^2\times b^2\times b^2\times c^2\times c^3}{8ab^2c^3}[/tex]
= [tex]\frac{8ab^2c^3}{8ab^2c^3}\times 9a^2b^2c^2[/tex]
= 9a²b²c²
Find the indicated side of the triangle
Answer:
plz upload photo for your question
Two times a number x, less 15, is greater than or equal to 4 times the number y
Answer:
2x - 15 ≥ 4y
Step-by-step explanation:
The polynomial 3x2 – 10x + 8 has a factor of 3x – 4. What is the other factor of 3x2 – 10x + 8?
Answer:
The other factor is (x - 2)
Step-by-step explanation:
One quick way to solve this is to factor the polynomial and see what you get:
3x² – 10x + 8
= 3x² - 6x - 4x + 8
= 3x(x - 2) - 4(x - 2)
= (3x - 4)(x - 2)
You can also solve this using long division:
[tex]\ \ \ \ \ \ \ \ \ \ \underline{x - 2\ \ \ \ \ \ \ \ \ \ \ \ \ \ } \\3x - 4\ )3x^{2} - 10x + 8\\.\ \ \ \ \ \ \ \ \ \ \underline{3x^2 - 4x}\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ -6x + 8\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \underline{-6x + 8}\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0R[/tex]
Which side length is labeled correctly?
A 3cm
B 4cm
C 5cm
D None are correctly labeled
Answer:
Step-by-step explanation:
3 cm
Let U = {1, 2, 3, 4, 5, 6, 7, 8}, A = B = and C = {1, 3, 7}. Find the following. (Enter your answers as a comma-separated list.) A ∪ B
Answer: C = {1, 3, 7}
Step-by-step explanation:
Plez the answer the subject is the double angle and half angle formula
Answer:
cos 2x = (√7) / 4
Step-by-step explanation:
sin x - cos x = 1/2
(sin x - cos x)² = (1/2)²
sin²x - 2 sin x cos x + cos² x = 1/4
1 - 2 sinx cosx = 1/4
2 sinx cosx = 3/4
sin 2x = 2 sinx cosx = 3/4
sin² 2x = 9/16
cos² 2x = 1 - sin² 2x = 1 - 9/16 = 7/16
cos 2x = (√7) / 4
I'm stuck on b, I've tried many methods but nothing seems to work (please help this is due in 3 hours)
Answer:
6/5
Step-by-step explanation:
An easy way to do this is see how the scale factor from a to b is 5/6? all you have to do is reverse those numbers! Hope this helps
ILL GIVE YOU BRAINLIEST
Answer:
Here I'll answer so you can give that person brainliest
Step-by-step explanation:
How has your day been??
4 = x + 12 PLEASE HELP QUICK
Answer:
x= -8
Step-by-step explanation:
Move the terms
Calculate: -x=12-4 = -x=8
Change the signs
Find the scale factor and ratio of perimeters for a pair of similar octagons with areas 16 ft' and 49 ft The scale factor is (Simplify your answer.) The ratio of perimeters is . (Simplify your answer.) Enter your answer in each of the answer boxes.
Answer:
67ft
Step-by-step explanation:
Find the number of terms in the the following arithmetic sequence
8, 11, 14, 17, .... 68
Answer:
number of term is 21
Step-by-step explanation:
Please mark as brainliest
Answer:
21
Step-by-step explanation:
The first numbers we ever learn to count with are the ones on our fingers - 1, 2, 3, 4, and on and on and on. Wouldn't it be nice, then, if we could somehow transform this sequence into that one that's so familiar to us? If we could do that, we could find the number of terms just by looking at the last one.
Arithmetic sequences evolve predictably - we start with a specific number and continue adding another number (called the common difference) to one term to get the next.
Here, our common difference is 3, since 8 + 3 = 11, 14 + 3 = 17... you get the picture. If we ultimately want to get our sequence down to the counting numbers (1, 2, 3...) we should start by getting them down to the multiples of 3 (3, 6, 9...). To do that, we'll subtract 5 from each term in the sequence. This gets us from
8, 11, 14, 17, ... 68
to
3, 6, 9, 12, ... 63
From here, we'll divide each term by 3, finally giving us back a sequence of counting numbers:
1, 2, 3, 4, ... 21
Now, we can look at the last term sequence to find that there are 21 terms in it.
A transformation that maps the vertex A( 3 , 4 ) to A’ ( -4 , 3 ) is
Answer:
"A translation of 7 units to the left followed by a translation of 1 unit down".
Step-by-step explanation:
There are multiple transformations that map one point into another, here is one example that works particularly for translations, which are the simplest (and usually the most used) transformations.
Suppose that we have the point (a, b) which is transformed into (a', b')
Then we have a horizontal translation of (a' - a) units followed by a vertical translation of (b' - b) units.
(the order of the translations does not matter, is the same having first the vertical translation and then the horizontal one).
Here we have the point A (3, 4) transformed into (-4, 3)
Then we have a horizontal translation of ((-4) - 3) = -7 units followed by a vertical translation of (3 - 4) = -1 units.
Where a horizontal translation of -7 units is a translation of 7 units to the left, and a vertical translation of -1 unit is a translation of 1 unit down.
Then we can write this transformation as:
"A translation of 7 units to the left followed by a translation of 1 unit down".
Mr. Jones is shopping for new appliances at a store.
All appliances are on sale for 10% off.
• Sales tax is 7%.
Which expression could Mr. Jones use to calculate the total cost of any
appliance, x?
HINT: Find the cost of the item if the original price is $100. Then Let
X=100 and see which choice will give you the correct price.
mr. John is shopping for new Apple eyes at a store all lights are on sale for 10% off sales tax is 7% which expression could mr. Jones use to calculate the total cost any wise X fun cost of the item the original price is $100 equal 100 and see what toys will give you the correct price
Please help! Thank you.
Answer:
2.478x10^7
Step-by-step explanation:
They give you each radius, so you just add them together.
15,300,000+9,480,000=24,780,000 = 2.478x10^7
(or)
1.53x10^7+0.948x10^7= 2.478x10^7
What is the minimum number of fish in the pond? (Hint: You caught 100 fish both days, but you caught 3 of the same fish twice.)
Answer:
197
Step-by-step explanation:
So, if you catch 100 fish on both days, that means that you have caught 200 fish. 100 on one day and 100 on the next. But, since you've caught 3 fish twice, that means that three out of 200 fish are the same and cannot be counted as new fish. So 3 from 200 is 197 fish. Hope this helped!
Day 1: 100 (3 tagged)
Day 2: 97 (3 tagged)
100+97=197
or
Day 1: 100 (3 tagged)
Day 2: 100 (3 tagged)
100+100= 200
200-3=197
Answer, 197 fish.
What is the value of x if 10 - 20x = 5?
Answer:♀️
Step-by-step explanation:
Half of my weight is equal 3/4 of my brother's weight. If my brother weighs 64kg; what is my weight
Answer:
96kg
Step-by-step explanation:
3/4 of 64 is 48
2 × 48 = 96kg
2/17
87%
Find the volume of this cube.
5 cm
Type here to search
O
BI
III
A
3
Answer:
Volume of cube = 125 cm³
Step-by-step explanation:
Given:
Side of cube = 5 cm
Find:
Volume of cube
Computation:
Volume of cube = side³
Volume of cube = 5³
Volume of cube = 125 cm³
Identify each part in the expression below. will give brainliest
Answer:
smalls
Step-by-step explanation:
On a blueprint, a 1 in. scale corresponds to 7 ft. To show a room with actual dimensions 35 ft wide by 16 ft long, what dimensions (in inches) should be shown on the blueprint?