Answer:
10
Step-by-step explanation:
5C2 =5!
2! (3)!
=1 x 2 x 3 x 4 x 5
(1 x 2) (1 x 2 x 3)
=4 x 5
2
=20
2
5C2 = 10
IF YOU GET THE RIGHT ANSWER, I'LL HELP YOU GET POINTS
Graduation is 4 years away and you want to have $500 available for a trip. If your bank is offering a 4-year CD (certificate of deposit) paying 2.3% simple interest, how much do you need to put in this CD to have the money for your trip?
Graduation is 4 years away and you want to have $500 available for a trip. If your bank is offering a 4-year CD (certificate of deposit) paying 2.3% simple interest, how much do you need to put in this CD to have the money for your trip?
Solution:-P: Principal, the amount you need to put in the CD
r: interest rate
t: time
A: total amount
________________________________
P(1+rt) = A
P(1+0.023×4) = 500
P(0.092) = 500
P = 500/0.092 = 5434.78
[Hence, you need $5434.78 to put in this CD to have the money for your trip ]
Marie's backyard deck cost $68.29 per square meter to build. The deck is 9 meters wide and 9 meters long. How much did it cost to build the deck?
$5531.49
(9×9)×$68.29
The best basketball player
Answer:
c
Step-by-step explanation:
hope it helps!!!!!!!!!!!!!!
Choose the correct simplification of
fh23
fh17
Answer:
C
Step-by-step explanation:
Answer:
f^6h^6
Step-by-step explanation:
f^9 h^23
-----------------
f^3 h^17
We know a^b / a^c = a^(b-c)
f^9 / f^3 = f^(9-3) = f^6
h^23 / h^17 = h^(23-17) = h^6
f^6h^6
Temperatures in northern Canada ranged as high as 37°F one summer. That same year the lowest temperature was −28°F. What was the range of temperatures for the year?
Answer:
65 degrees
Step-by-step explanation:
Find the range of temperatures by finding the difference between the lowest and highest temperatures:
37 - (-28)
37 + 28
= 65
So, the range of temperatures was 65 degrees
Find the length of the side CD in the pentagon ABCDE.
A)
4√2 units
B)
12 units
C)
4 units
D)
4√10 units
Answer: A) 4√2 units
Step-by-step explanation:
Use the distance formula to find the distance(d) between Point D and Point C:
[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
Point D = (x₁, y₁) = (4, -2)Point C = (x₂, y₂) = (8, 2)[tex]d=\sqrt{(8-4)^{2}+(2-(-2))^{2}}=\sqrt{(4)^{2}+(4)^{2}}=\sqrt{16+16} =\sqrt{32} =4\sqrt{2}[/tex]
Difference between 5429 and 5907 to the greatest place.
Given numbers
54295907Inorder to find the difference between them we have to substarct them.
[tex]\\ \sf\longmapsto 5907-5429[/tex]
[tex]\\ \sf\longmapsto 478[/tex]
Answer:
478
Step-by-step explanation:
To solve the problem
5907 -
5429 =
478
last year a football game scored a total of 427 points, so far this year, they have scored 154 points. They have eight more regular season games. How many points do they need to score each game to beat their record last year?
Answer:
35 points
Step-by-step explanation:
See photo
Solve for x, the triangles are similar
Answer:
x = 12
Step-by-step explanation:
Δ ESR and Δ EGF are similar, then ratios of corresponding sides are equal, so
[tex]\frac{ES}{EG}[/tex] = [tex]\frac{ER}{EF}[/tex] , substitute values
[tex]\frac{45}{12x-3}[/tex] = [tex]\frac{55}{143}[/tex] ( cross- multiply )
55(12x - 3) = 6435 ( divide both sides by 55 )
12x - 3 = 117 ( add 3 to both sides )
12x = 120 ( divide both sides by 12 )
x = 10
A person has decided to construct a frequency distribution for a set of data containing 100 numbers. The lowest number is 20 and the highest number is 80. If 5 classes are used, the class width should be approximately _______.
Answer:
The answer is "12".
Step-by-step explanation:
Lowest number[tex]=20\\\\[/tex]
highest number[tex]=80\\\\[/tex]
Number of classes[tex]=5\\\\[/tex]
Range=highest number-lowest number
[tex]=80-20\\\\=60\\\\[/tex]
class width [tex]=\frac{Range}{\text{number of classes}}[/tex]
[tex]=\frac{60}{5}\\\\=12[/tex]
Pls help!!
An educator hypothesizes that the median of the number of students enrolled in cyber schools in school districts in southwestern Pennsylvania is 25. At a = 0.05, is there enough evidence to reject the educator’s claim? The data are shown here. What benefit would this information provide to the school board of a local school district? 12 41 26 14 4 38 27 27 9 11 17 11 66 5 14 8 35 16 25 17
Answer:
nbbhhghhhjjjjjjjjjkjjjjnnmmmmmmmmbv b b j
Giải phương trình vi phân cấp 2
Answer:
bajskalakbskajalabsnsja
what is a negative number that has an absolute value greater than 3?
Answer:
x > -3
Step-by-step explanation:
Any negative number greater than -3 will have an absolute value greater than 3.
exchange rate for rand is 7 for $1 how any dollars would u receive is u exchange 21 rand
Answer:
$3
Step-by-step explanation:
7 rands for $1
7×3=21
21 rands for $3
Answer:
$3
Step-by-step explanation:
7 rand = 1 dollar
Divide both sides by 7 rand.
1 = (1 dollar)/(7 rand)
Notice that the fraction (1 dollar)/(7 rand) equals 1, so multiplying by it will not change the amount, just the units.
21 rand * (1 dollar)/(7 rand) =
= 21/7 dollar
= 3 dollar = $3
Help me plz help me plz plz
Im sorry I don't know the answer to the question
in how many ways can be arranged 2 different words in necklace?
Answer:
3
Step-by-step explanation:
chain by chain
parllel
series
look at the image below for the question !!!!!!
Answer:
136 cm2
Step-by-step explanation:
6*2=12 12*2=24
6*7=42 42*2=84
7*2=14 14*2=28
Add.
24+84+28=136
I hope this helps!
bionomial probabilities
Answer:
Binomial probability refers to the probability of exactly x successes on n repeated trials in an experiment which has two possible outcomes (commonly called a binomial experiment).
Hope this will help you :)A height of 2.5 cm represents 100 goats. What should be the height for 170 goats?
Answer: 4.25
Step-by-step explanation:
2.5/100 = 0.025
0.025 × 170 = 4.25
but the question there is any goats in 2.5 cm ??
that is impossible
Please I need help :(
Answer:
A. x-2y-3z = 1/2
Step-by-step explanation:
yess.. if you take solve every equation then you will get same equation from all the equations
Find all excluded values for the expression.
That is, find all values of for which the expression is undefined.
5
-----
6+2v
If there is more than one value, separate them with commas.
Answer:
-3
Step-by-step explanation:
For an expression to be undefined,. the denominator must be equal to 0
Therefore, in order to make that expression undefined, we must equate the denominator to 0
6 + 2v = 0
2v = 0 - 6
2v = -6
v = -6/2
v = -3
So in order to make the expression to be equal to 0, v must be -3
When graphing the inequality y ≤ 2x − 4, the boundary line needs to be graphed first. Which graph correctly shows the boundary line?
Answer:
See Below
Step-by-step explanation:
The boundary line follows the graph of y = 2x - 4 because it represents the line of maximum or minimum values the graph could take. y = 2x - 4 has a y-intercept of -4 because it is in slope-intercept form. It also has a slope of 2, so to find another point on the line, you can go up two and right one. Also, this inequality has a solid line because it is "less than or equal to" and a solid line represents the values that equal.
A small airplane flies 1160 miles with an average speed of 290 miles per hour. 2 hours after the plane leaves, a Boeing 747 leaves from the same point. Both planes arrive at the same time; what was the average speed of the 747 ?
Answer:
[tex]580\text{ miles per hour}[/tex]
Step-by-step explanation:
To solve this problem, we can use the formula [tex]d=rt[/tex], where [tex]d[/tex] is distance, [tex]r[/tex] is rate, and [tex]t[/tex] is time.
Let's start by calculating how long the small airplane takes to complete the journey. The distance is 1160 miles and the rate is 290 miles per hour. Therefore, we have:
[tex]1160=290t,\\t=\frac{1160}{290}=4\text{ hours}[/tex]
Since the Boeing 747 left 2 hours after the small airplane left, the small airplane has just [tex]4-2=2[/tex] hours left of travelling time.
Therefore, to arrive at the same time as the small airplane, the Boeing 747 must cover the same distance of 1160 miles in only 2 hours. Hence, the Boeing 747's speed must have been:
[tex]1160=2r,\\r=\frac{1160}{2}=\boxed{580\text{ miles per hour}}[/tex]
Find the area of the shape below
Answer:
The shape could be divided into a rectangle and a trapezoid.
b= 9-(5+2)
b= 2
Area= [tex](3.5\times 9)+1/2(b_1+b_2)h[/tex]
[tex]= [31.5+1/2(9+2)(2)] \:units^{2}[/tex]
[tex]=42.5\ units^{2}[/tex]
OAmalOHopeO
HELP. DONT ANSWER IF NOT 100% SURE. WILL GIVE BRANILEIST ASAP!
Answer:
B.
[tex]{ \tt{f(x) = \sqrt[3]{x + 11} }}[/tex]
let the inverse of f(x) be m:
[tex]{ \tt{m = \sqrt[3]{x + 11} }} \\ { \tt{ {m}^{3} = x + 11}} \\ { \tt{ {m}^{3} - 11 = x}} \\ { \tt{ {f}^{ - 1}(x) = {m}^{3} - 11 }}[/tex]
substitute for x in place of m:
[tex]{ \bf{f {}^{ - 1}(x) = {x}^{3} - 11 }}[/tex]
Can I please get asap
Answer:
Option B, cotangent is the reciprocal of tangent
That option is correct
According to the synthetic division below, which of the following statements
are true?
Check all that apply.
Answer:
A, C, and F
Step-by-step explanation:
The solution is, A and D are the correct statements.
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
to know which are the following statements are true:
We know that when f(x) is divided by (x - h) then f(h) is the remainder.
In option A f(-7) is the remainder which gives the value 8.
So, option A is correct.
Here the value x = 7 does not satisfy the function.
When we put x = 7 in the function it is coming 99
So, option B and C are wrong.
On putting x = -7 in the function we are getting 8
So options D is correct
Again, the value of f(7) is 99.
So, (x - 7) when divides the given function, 8 is not the remainder.
So, option E is wrong.
Hence, The solution is, A and D are the correct statements.
Find more about "Division of functions" here:
brainly.com/question/25289437
#SPJ7
The table below shows the values of f(x) and g(x) for different values of x. One of the functions is a quadratic function, and the other is an exponential function. Which function is most likely increasing quadratically? x f(x) g(x) 1 3 3 2 6 9 3 11 27 4 18 81 5 27 243 f(x), because it grows faster than g(x) g(x), because it will not intersect f(x) g(x), because it grows slower than f(x) f(x), because it grows slower than g(x)
Answer:
D
Step-by-step explanation:
Exponential functions always will end up being bigger than quadratic functions and since g(x) is probably the exponential it makes f(x) the quadratic because it is growing slower than the function g(x)
The function g(x) increases faster than the function f(x). Then the correct option is D.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The table below shows the values of f(x) and g(x) for different values of x.
One of the functions is a quadratic function, and the other is an exponential function.
The quadratic function f(x) will be
f(x) = ax² + bx + c
At x = 1, f(x) will be 3
a + b + c = 3 ...1
At x = 2, f(x) will be 6
4a + 2b + c = 6 ...2
At x = 3, f(x) will be 11
9a + 3b + c = 11 ...3
On solving equations 1, 2, and 3, we have
a = 1, b = 0, and c = 2
Then the quadratic function will be
f(x) = x² + 2
The exponential function g(x) will be given as
g(x) = abˣ
At x = 1, g(x) will be 3
ab = 3 ...4
At x = 2, g(x) will be 9
ab² = 9 ...5
From equations 4 and 5, we have
a = 1 and b = 3
Then the exponential function will be
[tex]\rm g(x) = 3^x[/tex]
More about the function link is given below.
https://brainly.com/question/5245372
HELP PLEASE! INEEED HELPPP RIGHT NOW The graph of y=x−2−−−−√ is is transformed to become y=x+3−−−−√−2. Which of the following statements best describes the effect this transformation has on the graph of y=x−−√?
Answer:
I think it's D but I don't know how to do this, but I ask my Friend and he gave me this graph I hope it helps.
Option (C) the graph is translated 5 units left and 2 units down is the correct answer.
What is graph of a function?A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The graph of a function f is the set of all points in the plane of the form (x, f(x)).
For the given situation,
The function is [tex]y=\sqrt{x-2}[/tex]
This function is transformed to become the function as [tex]y=\sqrt{x+3}-2[/tex]
Now compare this transformation with the function [tex]y=\sqrt{x}[/tex].
These functions are plotted in the graph below.
On comparing this transformation,
The graph is translated 5 units left and 2 units down.
Hence we can conclude that option (C) the graph is translated 5 units left and 2 units down is the correct answer.
Learn more about graph of a function here
https://brainly.com/question/2275360
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Plz help me find x and y on these triangles
Answer:
x=15, y=2
Step-by-step explanation:
By AA similarity, the triangles are similar. Therefore, we can find the ratios of the side lengths.
9/3=3=ratio of the side length of a larger triangle to a smaller one.
3=6/y, y=2
3=x/5, x=15
Hope this helped,
~cloud