The combinations with repetition are allowed is 330
What is combination?A combination is a mathematical technique that determines the number of possible arrangements in a collection of items, where the order of the items is not fixed.
Given that, we need to find the number of combinations with repetition are allowed if n = 8 and r = 4
Combinations with repetition = C'(n, r) = (r+n-1)! / (r!(n-1)!)
= (8+4-1)! / 4!(8-1)!
= 11! / 4!7!
= 330
Hence, the combinations with repetition are allowed is 330
Learn more about combinations click;
https://brainly.com/question/19692242
#SPJ6
Verify which of the following are identities. 1) 1 + = 4 sec 2) 15 cos = 15 a. Only the first equation is an identity. b. None of the equations are identities. c. Only the second equation is an identity. d. Both the equations are identities. Please select the best answer from the choices provided A B C D
The correct option regarding which of the sentences represents a trigonometric identity is given as follows:
b. None of the equations are identities.
What is a trigonometric identity?A trigonometric identity is a relation that is true for all possible angle measures of [tex]\theta[/tex]
The first relation is given as follows:
[tex]4\cos{\theta}\tan{\theta}\sec{\theta} = 4[/tex]
The tangent and secant equations are given as follows:
tan(x) = sin(x)/cos(x).sec(x) = 1/cos(x).Hence:
4cos(x)tan(x)sec(x) = 4cos(x) x sin(x)/cos(x) x 1/cos(x)
4cos(x)tan(x)sec(x) = 4sin(x)/cos(x)
4cos(x)tan(x)sec(x) = 4tan(x).
Meaning that the first statement is not an identity.
The second relation is given as follows:
[tex]\frac{9\sec^{2}{\theta}}{\cos^{2}{\theta}} - \frac{\tan^{2}{\theta}}{\cos^{2}{\theta}} = 2[/tex]
With a single denominator, we have that:
[tex]\frac{9\sec^{2}{\theta} - \tan^{2}{\theta}}{\cos^{2}{\theta}} = 2[/tex]
The secant identity is given as follows:
[tex]\sec^2{\theta} = 1 + \tan^2{\theta}[/tex]
Hence:
[tex]\frac{9\sec^{2}{\theta} - \tan^{2}{\theta}}{\cos^{2}{\theta}} = 2[/tex]
[tex]\frac{9(1 + \tan^2{\theta}) - \tan^{2}{\theta}}{\cos^{2}{\theta}} = 2[/tex]
[tex]\frac{9 + 8\tan^2{\theta}}{\cos^{2}{\theta}} = 2[/tex]
Is also a false statement, hence neither is an identity and option B is correct.
Missing InformationThe statements are given by the image presented at the end of the answer.
More can be learned about trigonometric identities at https://brainly.com/question/7331447
#SPJ1
(20 points)which of these equations doesn’t fit with each other with what we’ve been learning about perpendicular lines explain why for full credit, equations in photo
Answer:
Line D
Step-by-step explanation:
You want to know which line is not parallel or perpendicular to the other given lines:
A: 2y -x = 2
B: 4y = -8x -4
C: y = -2x +4
D: 5y = 10x +15
Standard formWe can write each of these equations in standard form to make it easier to compare them. That form is ...
ax +by = c
where a > 0 and a, b, c are mutually prime.
The equations are ...
A: x -2y = -2
B: 2x +y = -1
C: 2x +y = 4
D: 2x -y = -3
Parallel linesEquations with the same coefficients of x and y will be parallel:
2x +y = -1 and 2x +y = 4 . . . . lines B and C
Perpendicular linesEquations with coefficients that have been swapped, with one negated, will be perpendicular:
x -2y = -2 and 2x +y = -1 . . . . lines A and B
Line A is perpendicular to parallel lines B and C, so line D is the odd one out.
Line D doesn't fit.
what is an irrational number between 4 and 5 is it √12 or √20 or √34 or √80?
Answer:
[tex]\sqrt{20}[/tex]
Step-by-step explanation:
the answer would be between [tex]\sqrt{16}[/tex], which is 4, and [tex]\sqrt{25}[/tex], which is 5.
4.47 i.e., [tex]\sqrt{20}[/tex] is the irrational number between 4 & 5.
What is irrational number?Irrational number, any real number that cannot be expressed as the quotient of two integers—that is, p/q, where p and q are both integers. For example, there is no number among integers and fractions that equals Square root of [tex]\sqrt{2}[/tex].
Given irrational numbers
[tex]\sqrt{12} = 3.46[/tex]
[tex]\sqrt{20} =4.47[/tex]
[tex]\sqrt{34}=5.83[/tex]
[tex]\sqrt{80} =8.94[/tex]
Therefore, 4.47 i.e., [tex]\sqrt{20}[/tex] is between 4 & 5.
Hence, correct option is B.
Find out more information about irrational numbers here
https://brainly.com/question/4031928
#SPJ3
Perry bought one package of strawberries for $3. How many packages of strawberries can Mei buy if she has $9?
Answer:
3 packs
Step-by-step explanation:
1 pack = $3
To see how many she could buy divide the money she has by how much each pack costs
9/3 = 3
$3 for each pack is the same as
3+3+3 = 6+3 = 9
Ms. Namgung's electric hedge trimmer has a 10-foot cord. Each of her extension cords is 50 feet long. The farthest hedge is 40 yards from the electrical outlet. How many extension cords will Ms. Namgung use to trim all the hedges? Explain.
Answer: She will need 3 extension cords.
Step-by-step explanation:
If the farthest hedge is 40 yards away, that means it is 120 feet away because 1 yard equals 3 feet. If the cord on her trimmer is 10 feet and her extension cords are 50 feet long, 10+50+50+50= 160 feet. This means she would need 3 extension cords. 2 extension cords would not be long enough.
rachel made 16 out of 20 free throw shots about how many out of next 30 free throw shots would u expect her to miss
Answer the question on the picture
Answer:
theta =111°
hope it helps.
Answer:
69°
Step-by-step explanation:
Sum of angles in a triangle is 180°.
Moreover, because the marked lines are parallel, the third angle of the triangle (first two being 62° and Θ) is equal to 49°
That gives us:
[tex]\Theta = 180^\circ - 49^\circ - 62^\circ = 69^\circ[/tex]
Reba is a hairdresser. Before her lunch break, she gave 3 haircuts and colored the hair of 3
clients in 330 minutes. After lunch, she gave 3 haircuts and colored the hair of 4 clients in
419 minutes. How long does it take for Reba to perform each type of service, assuming the
amount of time doesn't vary from client to client?
Answer:
To color the hair of one client takes 55 minutes
To give a client a haircut takes 72-55 which is 17
Step-by-step explanation:
i hope this helps ;)
Find the value of X from the right triangle please can anybody answer this
Answer:
Step-by-step explanation:
in the first triangle an angle is 60 degrees so it means that the triangle is half of a equilateral triangle.
in this case the base leg is half of the hypotenuse.
x = 8
in the second triangle we have an angle that is 45 degrees and this means that the triangle has two congruent legs
x = 10
hello i need help with ym math today please and thanks
The annual cost if she chooses to make monthly payment is $1920 and money saved is $170
How to determine the incomes?The given parameters that will help us to determine the incomes are
Mindley switching to insurance comapnyAnnual premium $1750/ yearMonthly premium $160*12 = $1920a) Annual cost if she chooses to make one annual monthly installment is $1920
b) Money saved is she makes one annual payment is $(1920-1750)= $170
3) Volume of gas = 60 L
Efficiency rating = 10.2km/L
Average drive = Volume / Efficiency = 60/10.2 = 5.9km/L
b) Cost of gas = 149.9⊄⊄/L
Number of liters =60
= 60*149.9
=$8994
c) Constant gas price = $149.9⊄/L
Number of weeks /year = 52
=52*149.9
= $7795
4) Morgan pay $15/hr
Number of hours per week = 40
Gross monthly income = 40*15*4
=$2400
b) Monthly income $2400
Amount left after deduction = 85%
=0.85*2400
Net income = $2040
In conclusion Mindley receives $1920 monthly and saves $170
Study more about income determination on https://brainly.com/question/14617337
#SPJ1
Choose the expression that is equivalent to fraction with 7 raised to the negative tenth power in the numerator and 7 raised to the fourth power times seven raised to the zero power in the denominator.
negative 1 divided by 7 raised to the fourteenth power
−714
1 divided by 7 raised to the fourteenth power
714
Step-by-step explanation:
note that 7⁰ is always 1.
[tex] \frac{ {7}^{ - 10} }{ {7}^{4} } \\ \\ \frac{1}{ {7}^{14} } \\ \\ {7}^{ - 14} [/tex]
the answer is shown above
Answer:
Last option, [tex]\frac{1}{7^{14} }[/tex]
Step-by-step explanation:
[tex]\frac{7^{-10} }{(7^{4} )(7^{0} )}[/tex]=>[tex]\frac{7^{-10} }{7^{4+0}}[/tex]=>[tex]\frac{7^{-10} }{7^{4}}[/tex]=>[tex]7^{-10-4}[/tex]=>[tex]7^{-14}[/tex]=>[tex]\frac{1}{7^{14} }[/tex]
Hey can I have some help on this I can only give you 10 points though
Part way through painting her room, Sam runs out of paint.
• She estimates that there are about 125 square feet left to paint.
• The purple paint that Sam is using is only available in 1-quart
cans. (Assume she must buy whole cans of paint.)
• Each can of paint covers 40 square feet.
How many cans of paint does Sam need to buy to finish painting her room?
Explain to Sam why she needs this many cans of paint.
Answer:
4
Step-by-step explanation:
You divide 125 by 40 and that will give you 3 1/8. In the question, it says to use whole numbers and you'd have to go up, giving you 4.
It takes you together 6.67 minutes to paint 50 square feet, as you have to consider that the together rate is the sum of the separate rates.
What is addition?Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.
here, we have,
The together rate is the sum of the separate rates.
In this question:
Sam's rate is 1/10 for 25 square feet, so 1/20 for 50 square feet.
Your's rate is 1/5 for 25 square feet, so 1/10 for 50 square feet.
Together rate:
1/x = 1/20 + 1/10
or, 1/x = 3/20
or, x = 20/3
or, x = 6.67
so, we get,
It takes you together 6.67 minutes to paint 50 square feet, as you have to consider that the together rate is the sum of the separate rates.
To earn more on addition click:
brainly.com/question/29560851
#SPJ2
complete question:
Sam and you are going to paint your room together.
Sam takes 10 minutes to paint 25 square feet.
It takes you 5 minutes to paint 25 square feet.
Sam says, "If we paint together, then it will take 15
minutes for us to cover 50 square feet."
Give an explanation to convince Sam that she is
incorrect
1/2k+6=4k-8
Please explain step by step
So on solving the provided question, we can say that the value of k is 4, in this linear equation question.
What is a linear equation?A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.
1/2k +6= 4k-8
Multiplying both sides by 2,
k+12= 8k-16
7k=28
Therefore,
k=4
To know more about linear equation visit:
https://brainly.com/question/11897796
#SPJ1
Mr Campbell has a jar on his desk that contains 1o0 marbles . At the end of class, each student draws a marble from the jar without looking, notes the color, and then puts it back in the jar. If a student draws the red marble , the student gets a pass on that day's homework. How can the students determine the probability of drawing the red marbles ?
Answer:
noseee
Step-by-step explanation:
What is the answer to this question
Answer: A)
[tex]A) The ~ low ~ temperature ~ in ~Edmonton ~was\\\~greater ~than~the ~low ~temperature~ in~ fort~ Nelson[/tex]
༄✫༄✫༄✫༄✫༄✫༄
hope it helps...
have a great day!!!
6x-14<-14 or 3x+10>13
Answer:
solution set must contain all numbers less than zero or greater than one
graph H illustrates this solution
Step-by-step explanation:
6x - 14 < -14
6x < 0
x < 0
3x + 10 > 13
3x > 3
x > 1
Emelio is going to China on vacation. He can take one bag for free, but if the
weight of the bag is greater than 45 lb, he must pay a fee. Emelio knows his
bag weighed 32.4 lb on the way to China, and he plans to buy gifts for his
parents and siblings. He packs the same things he brought to China plus the
gifts into his bag on the way back. If he doesn't want to pay a fee, how much
can the gifts weigh?
The weight of the gifts must be Select...
Ib.
Answer:
12.6
Step-by-step explanation:
you basically subtract 32.4 and 45 to get your final answer because if a question has the words " how much more " you will most likely have to subtract or include subtraction
If y = a(x − 1)^2 + q and points (−1, −9) and (1,1) both lie on the parabola, what is the optimal (maximum/minimum) value of y? Find the value of a.
plz answer with full proces, i will mark brainliest for sure.
1.171875 as a fraction
false
it is a decimal not a fraction
Need Help! (No links)
Answer:
Option C, 13.7 cm
Step-by-step explanation:
Cos(31°) = [tex]\frac{x}{15}[/tex]
=> Multiply 15 on both sides of "="
Cos(31°) * 15 = x
13.7 = x
Hope this helps!
What is the greatest common factor of 3x
Answer:
It is not possible to find the greatest common factor of 3x.
Step-by-step explanation:
The greatest common factor (GCF) of a set of numbers is the largest number that divides into all of the numbers in the set.
In this case, you have provided a variable, 3x, and not a set of numbers. Therefore, it is not possible to find the greatest common factor of 3x.
If you have a set of numbers that you would like to find the greatest common factor of, please let me know and I will be happy to help.
Why can’t a nose be 12 inches long Worksheet
Find the lateral area of the cylinder to the nearest tenth.
9 cm
19 cm
Not drawn to scale
Оа
2
1046.2 cm
Ob
2
664.4 cm
ос
2
537.2 cm
Od
2
1201.
Answer:
Lateral surface area is 847.8 centimeters^2
Step-by-step explanation:
The formula for determining the lateral surface area of a cylinder is expressed as
Lateral surface area = 2πrh
Where
r = radius of the cylinder
h = the height of the cylinder
From the information given,
r = 9 centimeters
h = 15 centimeters
π = 3.14
Lateral surface area = 2 × 3.14 × 9 × 15 = 847.8 centimeters^2
Please give me Brainliest and rate, like Thank you!
For the function graphed below, what is the output when x=-2?
Step-by-step explanation:
that is a college level question ? and you don't know the answer ?
that is basic, basic, basic ...
you go on the x-axis to -2.
from there you go either up or down and look at what y-value are you crossing the functional curve.
it is -1.
so, the "output" for x = -2 is y = -1. or simply -1.
Thirty of the 198 students enrolled in Statistics 101 were asked if they wanted Exam II to be atake-home or an in-class assessment. Twenty, or about 67%, of the students polled indicated apreference for an in-class exam. The professor concluded that the majority of the students inthesamplewould prefer an in-class examination for the second assessment. Did the professorperforma descriptive study or an inferential study?
Answer:
Inferential study
Step-by-step explanation:
From the question, we understand that the professor concluded that majority of the class (of 198 students) preferred in class assessment based on the response from 67% of the sample size (i.e 30 students)
When decisions or conclusions are made about an overall population based on a survey carried out on a smaller sample, such study is referred to as an inferential study or inferential research.
Descriptive study on the other hand focuses on the features rather than the result of the experiment of the dataset.
I don’t have a question this is just the answer:))
Use exponents to rewrite 27.
Answer:
[tex]3^{3}[/tex]
Step-by-step explanation:
The number 27 is written in the form of a base of 3 and the exponent of 3 is given as 3³.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
here, we have,
It is a method for dividing a polynomial into pieces that will be multiplied together.
At this moment, the polynomial's value will be zero.
Rewrite 27 as a base and exponent without using an exponent of 1.
The number 27 can be written as,
27 = 3 x 3 x 3
27 = 3³
Then the number 27 is written in the form of a base of 3 and the exponent of 3 is given as 3³.
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ3
Pls help me!
1/3 of it is 9?
Answer:
27
Step-by-step explanation:
(1/3) * x = 9
x = 9 * (3/1)
x = 27
Hope this helps!
Answer:
let the number be x
1/3*x=9
x/3=9
x=9*3
x=27
Step-by-step explanation:
therefore the number is 27
PLz answer before 11:59 pm
Answer:
SA = 2520 ft^2
Step-by-step explanation:
a = 21ft
b = 29ft
c = 20ft
h = 30ft
SA = 2[tex]A_{B}[/tex] + (a+b+c)h
[tex]A_{B}[/tex] = s(s﹣a)(s﹣b)(s﹣c)
s = [tex]\frac{a + b + c}{2}[/tex]
SA= ah + bh + ch + [tex]\frac{1}{2}[/tex] [tex]\sqrt{-a^4 + 2(ab)^2 + 2(ac)^2 - b^4 + 2(bc)^2 - c4}[/tex]
SA= (21 * 30) + (29 * 30) + (20 * 30) +
[tex]\frac{1}{2}[/tex] [tex]\sqrt{-(21)^4 + 2(21 * 29)^2 + 2(21 * 20)^2 - (29)^4 + 2(29 * 20)^2 - (20)^4}[/tex]
SA = 2520 ft^2