The value of the function f(x) = 5x +7 at 3 is
Answer:
22
Step-by-step explanation:
Substitute x = 3 into f(x) , that is
f(3) = 5(3) + 7 = 15 + 7 = 22
amara needs to create a special tasting menu at her restaurant. She needs to select 4 dishes from 7 available dishes and put them in a tasty sequence. How many unique ways are there to arrange 4 of the 7 dishes?
By taking in mind the number of combinations of 4 out of the 7 dishes, and the possible orders of these 4 dishes, we will find that there are 840 unique ways to arrange 4 of the 7 dishes.
We know that if we have a set of N elements, the total number of different combinations of K elements (K ≤ N) out of the N elements is given by:
[tex]C(N, K) = \frac{N!}{(N - K)!*K!}[/tex]
In this particular case, we have:
N = number of available dishes = 7K = number that we need to select = 4Then the number of different combinations is given by:
[tex]C(7, 4) = \frac{7!}{(7 - 4)!*4!} = \frac{7*6*5}{3*2} = 35[/tex]
Now we have 4 dishes selected, but we also need to order them.
For the first dish, there are 4 options.For the second, there are 3 options (as one was already selected).For the third, there are 2 options.For the last one there is only one option.The number of different arrangements of the dishes is given by the product between the numbers of options above, this gives:
4*3*2*1 = 24
Then the total number of unique ways of arranging 4 of the 7 dishes is:
C = 24*35 = 840
Where we take in mind the possible number of combinations of 4 out of the 7 dishes, and the possible orders of these 4 dishes.
If you want to learn more, you can read:
https://brainly.com/question/9976085
What property is -5(-9x^2+8)+20=10x^2-15
Answer:
distributive?
Step-by-step explanation:
-5(-9x^2+8)+20=10x^2-15
simplify both sides
45x^2-20=10x^2-15
35x^2=5
x^2=1/7
x=1/sqrt(7)
distributive?
write an expression for "f increased by 3"
Answer:
f+3
incresed means +
Answer:
The expression for 'f increased by 3' will be f+3.
Step-by-step explanation:
This means that 3 will be added to 'f'. Since, 'f' is a variable and '3' is a numeral, therefore they cannot be added. The expression for it will be f+3.
Have a great day! :D
rewrite the expression 44 + 32 + 112 using the distributive property
Answer:
4(11+8+28)
Step-by-step explanation:
44 + 32 + 112
4(11+8+28)
I found the GCF of all three numbers.
Hope this helps :)
Differentiate the function
Answer:
[tex]-\frac{9}{r^4}[/tex]
Step-by-step explanation:
Using Power rule
[tex]\frac{d}{dr} (r^n)=nr^{n-1}\\-\frac{9}{r^4}[/tex]
The answer is F'(r) = [tex]\mathrm {-\frac{9}{r^{4}}}[/tex].
We can rewrite the function as :
F(r) = 3r⁻³
Now, differentiate by power rule :
F'(r) = (-3)3r⁻³⁻¹
F'(r) = -9r⁻⁴
F'(r) = -9/r⁴
(X-2)(5x+6)
Multiply using Distributive property
[tex](x-2)(5x+6)\\\\=x(5x+6) -2(5x+6)\\\\= 5x^2 +6x -10x -12 \\\\=5x^2 -4x-12[/tex]
5x-10x+6x-12
-`9x-12
i believe so
A coach divided his team into two groups of equal size.
.
of the first group drinks at least 2 glasses of water a day
• 75% of the second group drinks at least 2 glasses of water a day.
What fraction of the team drinks at least 2 glasses of water a day?
Applying the percentages, and considering that 70% of the first group drinks at least 2 glasses of water a day, it is found that 0.725 = 72.5% of the team drinks at least 2 glasses of water a day.
The team is divided into two equal groups, hence, each represents 50%.
The percentages associated with drinking at least 2 glasses of water a day is:
70% of 50%(first group)75% of 50%(second group)Hence, applying the weighed percentage, the total percentage is:
[tex]T = 0.7(0.5) + 0.75(0.5) = 0.725[/tex]
0.725 = 72.5% of the team drinks at least 2 glasses of water a day.
A similar problem is given at https://brainly.com/question/1517088
[tex]{ \pink{ \displaystyle\tt \int_{0}^{1} \int_{0} ^{ x_{1}} } \sf \pink\int_{ 0 }^{x_{2}... \int_{ 0 }^{x_{99}}} ln(1 -x_{100} ) dx_{100}... dx_{1}}[/tex]
︎︎︎︎︎︎︎
Step-by-step explanation:
[tex]\small{ \displaystyle\tt \int_{0}^{1} \int_{0} ^{ x_{1}} \int_{ 0 }^{x_{2}}... \int_{ 0 }^{x_{99}} ln(1 -x_{100} ) dx_{100}... dx_{1}}[/tex]
[tex]\small{{ \displaystyle\tt = - \int_{0}^{1} \int_{0} ^{ x_{1}} \int_{ 0 }^{x_{2}}... \int_{ 0 }^{x_{98}} \sum_{n = 1}^{ \infty \frac{}{} \frac{}{} } \frac{1}{n} \int_{0}^{x_{99}} {x}^{n}_{100} \: dx_{100}...dx_{1} }}[/tex]
[tex]{{ 0 }^{x_{98}} \frac{{x}^{n + 1}_{99}}{n + 1} \: dx_{99}...dx_{1} }[/tex]
[tex]\small{ \displaystyle\tt = -\sum_{n = 1}^{ \infty \frac{}{} \frac{}{} } \frac{1}{n}\int_{0}^{1} \int_{0} ^{ x_{1}} }[/tex]
[tex]\displaystyle \tt= - \frac{1}{(100)!_{} } \sum_{n = 1}^{ \infty } \frac{(n - 1)!(100)!}{(n + 101)!}=−(100)!1n=1∑∞(n+101)!(n−1)!(100)![/tex]
[tex]\displaystyle \tt= - \frac{1}{(100)!_{} } \sum_{n = 1}^{ \infty} \int_{0}^{1} {x}^{n - 1} (1 - x {)}^{100} [/tex]
[tex]\displaystyle \sf - \dfrac{1}{(100!)} \int_{0}^{1} \dfrac{(1 - x)^{100} }{1 - x} \:[/tex]
[tex]\displaystyle\tt { = - \frac{1}{(100)!} \int_{0}^{1} {x}^{99} \: dx=−(100)!1∫01x99dx}
[/tex]
Step-by-step explanation:
[tex]{ \pink{ \displaystyle\tt \int_{0}^{1} \int_{0} ^{ x_{1}} } \sf \pink\int_{ 0 }^{x_{2}... \int_{ 0 }^{x_{99}}} ln(1 -x_{100} ) dx_{100}... dx_{1}}[/t
︎︎︎︎︎︎︎
Goal 1000 points
can somebody help me with a tutor
Answer:
well tutors are very cool they help you with your subjects so i dont see any probelm with them.
Step-by-step explanation:
A jacket is on sale for 20% off. The
original price is $60. What is the new
price? Show your work.
Answer:
New price = $48
Step-by-step explanation:
New price = Original price - (original price × 20%)
New price = $60 - ($60 × .20)
New price = $60 - $12
New price = $48
Or If the jacket is 20%, you will pay 80% of the cost.
So Original price × the percentage that you paid = New price
$60 × 80% = New price
$60 × .80 = $48
Find the product. Simplify your answer.
(3p–2)(4p–1)
there you go the answer is in the picture
54,392 rounded to the hundreds place
Answer:
54,400
Step-by-step explanation:
Yamuna is getting ready to attend Wittenberg University in the fall. She needs 6 notebooks
at $2.19 each and a chromebook at $529.00. If she has $575 to spend, how much does
she have left for lunch?
Answer:
she has $32.86 left for lunch
Step-by-step explanation:
6 books at $2.19 each equals $13.14. plus the chrome book at 529. 529+13.14= $542.14
$575-542.14 equals $32.86
1. 6 km = ___ m
2. 8m = _____ km
3. 1dL = _____ mL
4. 30 kg = ____ g
5. 34 mg = ____ g.
!!!!!!!
Answer:
[tex]1)6000m \\ \\ 2)0.008km \\ \\\ 3)100ml \\ \ \\ 4)30000g \\ \\ 5)0.034g[/tex]
MARK ME AS A BRAINLIST PLZ
I NEED ANSWER NOW PLSSSSS
Two hundred fifty tickets are sold at a fund raiser. If Sarah buys 15 tickets, the probability that she will win the prize quilt is
.
Answer:
6%
Step-by-step explanation:
15/250=3/50 or 6%
The probability that Sarah would win the prize quilt given the tickets she bought is 6%.
What is the probability?
Probability is how likely it is that a stated event would happen. The probability of the event happening lie between 0 and 1.
The probability that Sarah would win the prize quilt = number of tickets bought / total number of tickets
(15 / 250) x 100 = 6%
To learn more about probability, please check: https://brainly.com/question/13234031
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When asked to factor the trinomial 8x^2-8x-16) a student gives the answer (X - 2)(x + 1). What is one thing wrong with this answer? - A. 8 is also a factor of this trinomial B. The minus sign should be a plus sign C. The factors are not simplified D. There is nothing wrong with the answer
Answer:
8 is also a factor of this trinomial
Step-by-step explanation:
Function or not a function?
Answer: Not Function
Step-by-step explanation:
The pattern is not consistent.
convert into Improper fraction
4 3/4
Answer:
Improper fraction = 19/3
Step-by-step explanation:
To convert to improper fraction;
1.) multiply the denominator with the whole number,
2.) then add the number you got with the numerator (this will be you new numerator)
3.) keep the denominator the same for the new fraction
Hope this helps!
Hello!
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4 3/4
First, we multiply the whole number by the denominator:
16
Then, we add the numerator:
19
19 is the numerator for our fraction.
Now, the denominator stays the same:
[tex]\frac{19}{4}[/tex] is our answer. Hope it helps you!
~SparklingFlower
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In what time will $1000 amount to $1331 at 10% per annum, compounded annually?
3 Years
Step-by-step explanation:Compound interest is a multiplier that affects the new value each time.
If the compound interest is 10% per annum, the multiplier each year is 1.1.
Year 1: $1000 * 1.1 = $1100
Year 2: $1100* 1.1 = $1210
Year 3: $1210* 1.1 = $1331
This means that it will take 3 years for $1000 to amount to $1331 at 10% per annum.
Alternatively, you can use a logarithm. The calculation can be written as:
1000 * [tex]1.1^n[/tex] = 1331, where n is the number of years.
Rearranged, this gives [tex]1.1^n[/tex] = 1331/1000 or [tex]1.1^n[/tex] = 1.331.
A logarithm can work out the value of n, and is written in the form log1.1(1.331), which gives a value of 3.
Which of the following statements are true? Select all that apply.
Answer:
They have 2 left one OR 2 right ones are true
Step-by-step explanation:
pls help, no false answer or link
Answer:
1. 10$
2. 24,59$
Andrea has 1 hour to spend training for an upcoming race. She completes her training by running full speed the distance of the race and walking back the same distance to cool down. If she runs at a speed of 9mph and walks back at a speed of 3mph, how long should she plan to spend walking back?
Answer:
3/4 hour
Step-by-step explanation:
The ratio of speeds going : coming is 9 : 3 = 3 : 1. The ratio of times will be the inverse of this: 1 : 3.
The time spent walking back is 3/(1+3) = 3/4 of the total, or 3/4 hour.
Andrea should plan on walking back for 3/4 hour.
solve pls brainliest
Answer:
w=2.5
Step-by-step explanation:
divide 12.5 by 5: 12.5/5=2.5, so w=2.5
Answer:
2.5
Step-by-step explanation:
To solve for something you want to get it alone on one side. To do this for this problem you want to divide both sides by 5. This comes out to 2.5
Choose which diagram
Explain how you could solve the following using equal groups.
Linda wants to bake 48 cookies. The cookie tray has room for 8 cookies. How many batches will she have to bake to make 48 cookies?
Answer:
6
Step-by-step explanation:
48/8=6
After leaving his house, Nate drove fifteen minutes to take his oldest daughter to the middle school and then drove ten minutes to take his two younger daughters to the elementary school. Next, Nate drove twenty-five minutes to work. If Nate arrived at work at 9:30 a.m., what time did he leave his house?
A. 8:10 a.m.
B. 8:20 a.m.
C. 8:30 a.m.
D. 8:40 a.m.
Answer:
D. He left his house at 8:40 a.m
Given: measure 1, measure 2, measure 3, and measure 4 formed by two intersecting segments Prove: measure 1 and measure 3 are congruent. NEED HELP ASAP!!
Step-by-step explanation:
Note:The text below that are formatted in bold and underlined font are the solutions to the missing boxes in your given problem.
Explanation:Given that ∠1, ∠2, ∠3, and ∠4 are formed by two intersecting segments, and that:
∠1 and ∠2 form a linear pair
∠2 and ∠3 form a linear pair
These linear pair relationships suggest that by the Linear Pair Postulate:
∠1 and ∠2 are supplementary. ⇒ Linear Pair Postulate
∠2 and ∠3 are supplementary. ⇒ Linear Pair Postulate
m∠2 + m∠ 3 = 180° ⇒ Definition of supplementary angles.
m∠1 + m∠3 = m∠2 + m∠ 3 ⇒ Substitution Property of Equality.
m∠1 = m∠3 ⇒ Subtraction Property of Equality.
What is 75.65 rounded to the nearest whole number?