Step-by-step explanation:
Exact Form:
x = 43/8
Decimal Form:
x = 5.375
Mixed Number Form:
x =5 3/8
Which expression is equivalent to 3^4 times 3^-9
Answer: 3^4 · 3^-9 = 3^4 · 1/3^9
Step-by-step explanation:
About 5 out of 10 people entering a community college need to take a refresher mathematics course. If there are 970 entering students, how many will probably need a refresher mathematics course?
I need a answer asap
Help me plsssssssssssssssssss
Answer:
2 meters = 2000 millimeters
In a standard card deck, there are 52 different cards, which are divided into 4 suits (spades, diamonds, clubs, and hearts), with each suit containing 13 cards. What is the probability that in a randomly selected rearrangement of the card deck, the 3 of spades is after all the hearts
In a given permutation of 52 cards, if the 3 of spades is to follow all of the hearts, that means the 3 of spades must be at least the 14th card in the deck.
Consider some possible orderings of the deck:
• If the 3 of spades is the 14th card, then the deck looks like
[all 13 ♥] … 3 ♠ … [all other 38 cards]
There are 13! ways to arrange the 13 hearts at the beginning and 38! ways to arrange the tail of 38 cards. Hence there are 13! × 38! possible rearrangements of the deck where 3 ♠ is the 14th card.
• If 3 ♠ is the 15th card, then the deck looks like
[13 ♥ and 1 other] … 3 ♠ … [all other 37 cards]
and there would be 14! × 37! ways of arranging the cards in this order.
There are 39 possible positions for 3 ♠. Extrapolating, it follows that the total number of permutations of the deck in which all hearts occur before 3 ♠ is
[tex]\displaystyle \sum_{k=0}^{38} (13+k)! \times (38-k)![/tex]
There are 52! total possible ways of rearranging the deck. Then the probability of rearranging the deck so that all hearts are drawn before 3 ♠ is
[tex]\displaystyle \frac1{52!} \sum_{k=0}^{38} (13+k)! \times (38-k)! = \frac{87,031,512,096,420,449}{221,360,321,731,856,907,600} \approx \boxed{0.000393}[/tex]
One centimeter is equal to 10^-2 meters. What decimal number
is equivalent to 10^-2
Answer: shoulb be to the thirs 4/8
Step-by-step explanation:
Slope is represented by the letter ____________ and the y-intercept is represented by the letter _______________ and is where the graph ________________________________
Answer:
Slope is represented by the letter M and the y-intercept is represented by the letter B and is where the graph intersects the y axis.
Step-by-step explanation:
y = mx+b, where y and x are variables and m is the slope and b is the y-intercept
Hope that helps
Ophelia has 5 flower less than Daisy. Together they have 20 flowers. How many flowers have each of them?
What is the answer to 6m+2.3=-9.7
Answer:
m = [tex]\frac{37}{30}[/tex] or 1.23
Step-by-step explanation:
6m + 2.3 = 9.7
6m = 9.7 - 2.3
6m = 7.4
m = [tex]\frac{37}{30}[/tex] or 1.23
PLEASE HELP (TEST) The graphs below show measurements from cubes with
different side lengths.
Which pairs of variables have a linear relationship?
Select two options.
24
O side length and perimeter of 1 face
20
O perimeter of 1 face and area of 1 face
O surface area and volume
Perimeter of 1 Face
A.
U area of 1 face and surface area
O side length and volume
4
2.
1
3
4
5
6
X
Side Length
40
AB
36
32
Answer:
do you still need the answer?
Step-by-step explanation:
Grady is comparing three investment accounts offering different rates.
Account A: APR of 4.95% compounding monthly
Account B: APR of 4.85% compounding quarterly
Account C: APR of 4.75% compounding daily
Which account will give Grady at least a 5% annual yield?
Answer: Account A
Step-by-step explanation:
It takes Sam half an hour to design a tower on
paper and it took him 2 and 1/6 hours to build
his lego structure. How many hours long will it
take him to build and design three towers?
Answer:
0.5+2 1/6 * 3=1.5+6 1/2 =8h
7. A value of n is substituted in each expression to get the number
in the box. Find each value of n.
a) 5n
30
b) 3n – 1 11
c) 4n + 7 15
d) 5n
11
e) 4 + on 40
f) 5 +1 5
---
Answer:
a. n=6
b. n = 4
c. n =2
d. n = 11 ÷ 5
e. n = 10
f. 20
Step-by-step explanation:
a. 5n = 30
n=30÷5
n=6
b. 3n-1 = 11
3n= 11 + 1
n = 12 ÷3
n=4
c. 4n + 7 = 15
4n = 15 - 7
n = 8 ÷ 4
n = 2
d. 5n = 11
n = 11 ÷ 5
e. 4 + n = 40
n = 40 - 4
n = 10
f. 5 + 15 = 20
Find the value(s) of x where the tangent to the graph of y=e^5x is parallel to the
line 10x + y = 17
Answer:
There are none.
Step-by-step explanation:
No calculus involved:
The line, in slope-intercept form, has equation [tex]y=-10x+17[/tex], ie is always decreasing (easy to spot applying the definition)
Meanwhile, [tex]y=e^{5x}[/tex] is always increasing over its domain.
At no point the tangent will be decreasing.
Let's use calculus
We are to solve the equation [tex]y'(x) = -10 \rightarrow 5e^{5x} = -10 \rightarrow e^{5x}=-2[/tex] which has no real solutions.
Pls answer all 4 questions AND HURRY!!!!
Answer:
5pts
Step-by-step explanation:
The slope in the linear equation y=12x+5 is _[blank]_.
A certain blueprint shows two fences. Fence A is 1 1/5 yards long but is 1 4/5 inches long on the blueprint. What is the unit rate for inches per yard on this blueprint? If the fence B is 4 yards long, how long is fence B on the blueprint?
Answer:
Q1: 3/72
Q2: 6 inches
Step-by-step explanation:
What is the unit rate for inches per yard on this blueprint?
First convert 1 1/5 yards to inches, so that becomes 216/5 inches.
To keep things consistent, let's convert the 1 4/5 inches to an improper fraction: 9/5 inches.
The question asks for inches per yard, so we substitute in the values:
[tex]\frac{\frac{9}{5} }{\frac{216}{5} }[/tex]
and simplify: 3/72
If fence B is 4 yards long, how long is fence B on the blueprint?
Convert 4 yards to inches (to comply to the ratio above): 144 inches
The ratio is inches to yards, so substitute in the value:
[tex]\frac{3}{72} = \frac{x}{144}[/tex]
and solve: 6 inches
Solve this for 50 points
- BRAINLIEST answerer
Simplify the expression.
I NEED HELP PLEASE!!!
Answer:
-27/64p^3
Tell me if you want a step by step. :)
HELPPPP ME PWEASEEEEE
2y - 3 = 4y + 6
Subtract 6 from both sides
2y -9 = 4y
Subtract 2y from both sides
-9 = 2y
Divide both sides by 2
Y = -9/2 or -4.5 as a decimal
What percentage is a reduction from SEK 100 to SEK 90?
Answer:
10%
Step-by-step explanation:
The change is 90-100 = -10. As a percentage of the original amount, that is ...
-10/100 × 100% = -10%
The change from 100 to 90 is a reduction of 10%.
(a)Find the greatest common factor (GCF) of 16 and 6.
(b)Use the GCF to factor 16 +6.
Answer:
2 x (8 + 3)
Step-by-step explanation:
b) 16 + 6 = 2 x (8 + 3)
=> 22 = 2(11)
=> 22 = 22
Therefore, 2 x (8 + 3) is your answer.
A quality-control inspector examined 260 calculators and found 11 of them to be defective. At this rate, how many defective calculators will be in a batch of 5,200 calculators?
Answer:I got 220
Step-by-step explanation:
5200/260=20
20*11=220
Find the value of x and thank
Answer:
65
Step-by-step explanation:
180-100 (40+60) =80
80+35= 115
180-115=65
beno
8) Sarawong spent half of his weekly
allowance playing mini-golf. To earn
more money his parents let him wash the
dog for $5. What is his weekly allowance
if he ended with $12 ?
Answer:
$ 14
Step-by-step explanation:
12 - 5 = 7 = half weekly allowance
Hi I was wondering if someone can help me with the math problem?
Answer: 20:12 for the first one
Step-by-step explanation:
5:3, 20:12,
What percent of each diagram is shaded below?
Answer:
a. 3/10
b. 1/5
c. 1/4
Step-by-step explanation:
a. 30/100 = 3/10
b. 20/100 = 1/5
c. 25/100 = 1/4
Answer:
Step-by-step explanation:
You are working with 1 large square made up of 100 little squares. The little squares make up 10 columns of 10 little squares each.
A
Shaded part = 30 squares.
Entire large square = 100 small squares
% = 30 / 100 * 100 = 30%
B
Shaded part = 20 horizontal squares.
Entire large square = 100 small squares
% = 20 / 100 * 100 = 20%
C
Shaded part = 5 by 5 little squares = 25 little squares
Entire large square = 100 small squares
% = 25 / 100 * 100 = 25%
What is the factorization of the expression below?
42 - 9y2
O A. (4x - 3y)(x + 3y)
B. (4x-3y)(x - 3y)
O C. (2x-3)(2x-3y)
O D. (2x-3)(2x + 3y)
[tex]\sf \longmapsto \: 4x {}^{2} - 9y {}^{2} [/tex]
There are no like terms so we can't simplify itFactoring[tex]\sf \longmapsto(2x+3y)(2x−3y)[/tex]
[tex] \boxed{\sf (2x+3y)(2x−3y)}[/tex]
Answer:
Choice D
Step-by-step explanation:
Factorise: 4x²-9y²
We can obtain the factorization by this identity:
a² - b² = (a+b)(a-b)Rewrite the given expression as:
(2x)² - (3y)²Let (2x)² be a and (3y)² be b according to the identity.
So applying the identity:
(2x+3y)(2x-3y)(2x-3y)(2x+3y)Choice D is accurate.
Calculate the missing terms in each proportion.
◼:11 = 11:121
5:2:1 = ◼:14:◼
1.5:◼:2.4 = 6:5:◼
Please Help me!
Answer:
1:11=11:121
5:2:1=35:14:7
1.5:1.25:2.4=6:5:9.6
Step-by-step explanation:
x/11=11/121 so x equals 1
5/2=x/14 so x equals 35
1.5/x=6/5 so x equals 1.25
1.25:2.4=5/x so x equals 9.6
3/7 rounded to 3 decimal places
Answer:
0.429 is the correct answer.
if a diagram shows a square with perimeter 40cm whats the percentage of the area inside the square that is shaded
Answer:
5
Step-by-step explanation:
Eacl side of the square has a length of 5 cm.
Answer:
55%
Step-by-step explanation:
i assume your question is from mathswatch
And this is the answer for it!
