The area of the two shapes combined is 65 inches.
explanation:
A rectangle's formula is length x width which makes the equation 10 x 5 and the solution 50.
A triangle's formula is area = base x height ÷ 2 which makes the equation 10 x 3 ÷ 2 and the solution 15.
50 + 15 = 65
what integer best represents a withdraw of $40. please hurry its due asap.
thanks so much
Answer:
-40 your welcome
Step-by-step explanation:
There are 12 rolls of film in a box, and 4 are defective. Two rolls are to be selected, one after the other, sampling without replacement. What is the probability of selecting two defective rolls?
Group of answer choices
None of the answers is correct.
7/23
12/132
16/144
1/4
12/144
Using the hypergeometric distribution, it is found that the probability is 12/132
------------------------------------
The rolls are chosen from a sample without replacement, which means that the hypergeometric distribution is used to solve this question.
------------------------------------
Hypergeometric distribution:
The probability of x successes is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
------------------------------------
12 rolls means that [tex]N = 12[/tex]4 defective means that [tex]k = 4[/tex]2 are chosen, which means that [tex]n = 2[/tex]------------------------------------
What is the probability of selecting two defective rolls?
This is P(X = 2). So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 2) = h(2,12,2,4) = \frac{C_{4,2}*C_{8,0}}{C_{12,2}} = \frac{4 \times 3}{12 \times 11} = \frac{12}{132}[/tex]
12/132 is the probability.
A similar problem is found at https://brainly.com/question/24229905
-9x2y5 is polynomial or monomial or binomial or trinomial or polynomial
Answer:
Monomial
Step-by-step explanation:
Monomial is only one value therefore the following value is a monomial.
[tex]-9x^2y^5[/tex]
please please help its due today, i give brainlest
Answer: B
Step-by-step explanation: Imagine the axis being a mirror if you draw a triangle and put it in a mirror u would get what is on B
Answer:
B or C
I’m still bad In geometry
Last year, Amy had $20000 to invest. She invested some of it in an account that paid 8% simple interest per year, and she invested the rest in an account that paid 9% simple interest per year. After one year, she received a total of $1690 in interest. How much did she invest in each account?
Answer:
Amount invested at 8% rate of interest = $11000
Amount invested at 9% rate of interest = $9000
Step-by-step explanation:
Let Amy invested amount in a account with 8% simple interest = $a
Then the interest gained after one year = [tex]\frac{\text{Principal amount}\times \text{Rate of interest}\times \text{Time}}{100}[/tex]
= [tex]\frac{a\times 8\times 1}{100}[/tex]
= 0.08a
Remaining amount for the investment = $(20000 - a)
Interest earned after one year with rate of interest 9%
= [tex]\frac{(20000-a)\times 9\times 1}{100}[/tex]
= $(1800 - 0.09a)
Total interest earned after 1 year = $1690
0.08a + (1800 - 0.09a) = 1690
1800 - 0.01a = 1690
0.01a = 110
a = $11000
Amount invested at 8% rate of interest = $11000
Amount invested at 9% rate of interest = $(20000 - 11000) = $9000
a trader sold a wrist watch for 3150 after giving a 10% discount find the marked price of the Watch
Step-by-step explanation:
[tex]{ \frac{10}{100} \times 3150 = 315[/tex]
Can someone help I have to hand this in
Given: AD = BC and AD || BC
Prove: ABCD is a parallelogram,
A
В
Assemble the proof by dragging tiles to
the Statements and Reasons columns
Answer:Hope this helps!
Step-by-step explanation:
Jonathan is driving back home from a business trip and covers 400 miles in 5 hours. What is his car average speed in miles per hour?
Answer:
80
Step-by-step explanation:
Miles/Hours
400miles/5hours=80mph
PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!
PLSSSS SHOWWW THE WORKKK!!!!
Answer:
no hablo inglés xd no te puedo ayudar
Answer:
y^4/x^2
Step-by-step explanation:
i wish i could show the work but tbh i just use the link i comment under
Its helpful
The following double line graph represents the heights (in inches) of Lana and Sabrina over a period of seven years. For how many of the years shown was Lana taller than Sabrina? 7 4 6 5
Answer:
5 inches babesss
Step-by-step explanation:
Answer:
She was taller than Sabrina for 6 years.
Step-by-step explanation:
quadratic sequence are shown below Work out the next term.
7 11 17 25
2. The first four terms of a quadratic sequence are shown below Work out the next term.
6 12 22 36
3. The nth term of a quadratic sequence is n2 − 2n + 8 Work out the first three terms of this sequence
4. A quadratic sequence has an nth term of 2n2 + 3n − 1 Work out the value of the 6th term of the sequence
5. Asequencehasannthtermof n2−6n+7
Work out which term in the sequence has a value of 23.
6. Here are the first 5 terms of a quadratic sequence
4 11 20 31 44
Find an expression, in terms of n, for the nth term of this quadratic sequence.
7. Here are the first 5 terms of a quadratic sequence 4 10 18 28 40
Find an expression, in terms of n, for the nth term of this quadratic sequence.
8. Here are the first 5 terms of a quadratic sequence 9 17 29 45 65
Find an expression, in terms of n, for the nth term of this quadratic sequence.
9. Here is a tile.
Here is a sequence of patterns made from these tiles.
How many of these tiles are needed to make Pattern number 10?
10. The nth term of a sequence is n2 + 3n
Two consecutive terms in the sequence have a difference of 38
Work out the two terms.
11. Prove that every term in the sequence n2 − 4n + 21 is positive please help anyone
The quadratic sequence answered this way .
What are quadratic sequence?Quadratic sequences are sequences that include an term. They can be identified by the fact that the differences between the terms are not equal, but the second differences between terms are equal.
According to the question
Quadratic sequences are given the next term is :
1> 7 11 17 25
First difference between terms
11 - 7 = 4
17 - 11 = 6
25 - 17 = 8
Second difference between terms
6 - 4 = 2
8 - 6 = 2
Therefore, next term : First last difference + Second difference + Last Term
: 8+2 = 10
: 25 + 10 = 35
2> 6 12 22 36
First difference between terms
12 - 6 = 6
22 - 12 = 10
36 - 22 = 14
Second difference between terms
10 - 6 = 4
14 - 10 = 4
Therefore, 1st next term : First last difference + Second difference + Last Term
: 14 + 4 = 18
: 36+ 18 = 54
2nd next term : First last difference + Second difference + Last Term
: 18 + 4 = 22
: 22 + 54 = 76
3rd next term : First last difference + Second difference + Last Term
: 22 + 4 = 26
: 76 + 26 = 102
4th next term : First last difference + Second difference + Last Term
: 26 + 4 = 30
: 76 + 26 = 102
3> nth term of a quadratic sequence = [tex]n^{2} - 2n + 8[/tex]
first three terms of this sequence :
1st term of the sequence : n = 1
substituting value of n
[tex]1^{2} - 2 + 8[/tex]
= 7
2nd term of the sequence : n = 2
substituting value of n
[tex]2^{2} - 2*2 + 8[/tex]
= 8
3rd term of the sequence : n = 3
substituting value of n
[tex]3^{2} - 2*3 + 8[/tex]
= 17 - 6
= 11
4> Quadratic sequence has an nth term : [tex]2n^{2} + 3n -1[/tex]
6th term of the sequence : n = 6
substituting value of n
[tex]2(6)^{2} + 3*6 -1[/tex]
36*2 + 18 -1
= 89
5> Quadratic sequence has an nth term : [tex]n^{2} - 6n + 7[/tex]
term = 23
therefore,
23 = [tex]n^{2} - 6n + 7[/tex]
0 = [tex]n^{2} - 6n - 16[/tex]
solving the equation
[tex]n^{2} - (8-2)n - 16 = 0[/tex]
n(n- 8) + 2 (n - 8) = 0
(n-8) (n+2) = 0
n = 8 , -2
As term can not be negative , so n = 8
Therefore, term 8 of Quadratic sequence : [tex]n^{2} - 6n + 7[/tex] is 23 .
6> First 5 terms of a quadratic sequence :
4 11 20 31 44
expression for the nth term of this quadratic sequence:
As general form of quadratic sequence is : [tex]an^{2}+bn +c[/tex]
now for n= 1
a + b + c = 4 -------------------(1)
now for n= 2
[tex]a2^{2}+b*2 +c[/tex] = 11
4a + 2b + c = 11 ---------------------------(2)
now for n= 3
[tex]a3^{2}+b*3 +c[/tex] = 20
9a + 3b + c = 20 ----------------------------------(3)
solving equation (1) , (2) & (3)
a = 1 , b = 4 , c = -1
now , substituting the value in general equation
[tex]= n^{2}+4n -1[/tex]
Hence, The nth term of this quadratic sequence [tex]= n^{2}+4n -1[/tex]
7>The first 5 terms of a quadratic sequence : 4 10 18 28 40
the nth term of this quadratic sequence :
As general form of quadratic sequence is : [tex]an^{2}+bn +c[/tex]
now for n= 1
a + b + c = 4 -------------------(1)
now for n= 2
[tex]a2^{2}+b*2 +c[/tex] = 10
4a + 2b + c = 10 ---------------------------(2)
now for n= 3
[tex]a3^{2}+b*3 +c[/tex] = 18
9a + 3b + c = 18 ----------------------------------(3)
solving equation (1) , (2) & (3)
a = -4 , b = 18 , c = -10
now , substituting the value in general equation
[tex]= -4n^{2}+18n -10[/tex]
Hence, The nth term of this quadratic sequence [tex]= -4n^{2}+18n -10[/tex]
8>First 5 terms of a quadratic sequence : 9 17 29 45 65
the nth term of this quadratic sequence :
As general form of quadratic sequence is : [tex]an^{2}+bn +c[/tex]
now for n= 1
a + b + c = 9 -------------------(1)
now for n= 2
[tex]a2^{2}+b*2 +c[/tex] = 17
4a + 2b + c = 17 ---------------------------(2)
now for n= 3
[tex]a3^{2}+b*3 +c[/tex] = 29
9a + 3b + c = 29 ----------------------------------(3)
solving equation (1) , (2) & (3)
a = 2 , b = 2 , c = 5
now , substituting the value in general equation
[tex]= 2n^{2}+2n +5[/tex]
Hence, The nth term of this quadratic sequence [tex]= 2n^{2}+2n +5[/tex]
9> Pattern is not given (incomplete question)
10> The nth term of a sequence is : [tex]n^{2} + 3n[/tex]
Two consecutive terms in the sequence have a difference of 38
The two terms of the sequence :
N2 - N1 = 38
substituting n as n2 and n1
[tex](N_{2}) ^{2} + 3N_{2} - (N_{1}) ^{2} - 3N_{1}[/tex] = 38
[tex](N_{2}) ^{2} - (N_{1}) ^{2} + 3N_{2} - 3N_{1} = 38[/tex]
[tex](N_{2} - N_{1} ) (N_{2} + N_{1})+ 3(N_{2} - N_{1}) = 38[/tex]
[tex](N_{2} - N_{1} ) [N_{2} + N_{1}+ 3] = 1*38\\\ (as (N_{2} - N_{1} = 1 ) consecutive terms)[/tex]
now,
[tex](N_{2} - N_{1} ) = 1 ,\\\ [N_{2} + N_{1}+ 3] = 38[/tex]
solving both equations
[tex]N_{2} =18\\ N_{1} = 17[/tex]
Hence, two terms of sequence are 18th and 17th the whose difference in 38 .
11> The sequence: [tex]n^{2} - 4n + 21[/tex]
To proof the sequence is positive always
As n cannot be negative
let n = 0
substituting the value in equation we get
+ve
As we conclude in equation +ve part is larger than -ve part always ,
so this equation is always be +ve for any value of n .
Hence, The quadratic sequence answered this way .
To know more about quadratic sequence here:
https://brainly.com/question/22412845
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Please help and make it right..
Answer:1/48
Step-by-step explanation: multiply the fraction by 1/2
8 is the quotient of a number g and 3.
So whats the question?
Answer:
g ÷3 =8
Step-by-step explanation:
The area of a circle, in terms of pi, is 9 pi metres squared
Find the value of the radius.
Answer:
radius = 3
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( r is the radius )
Here A = 9π , then
πr² = 9π ( divide both sides by π )
r² = 9 ( take the square root of both sides )
r = [tex]\sqrt{9}[/tex] = 3
Answer:
you can read the problems
Alex and glen share a 30 ounce bucket of clay by the end of the week alex has used 1/10 of the bucket and glen has used 2/5 of the bucket of clay how many ounces are left in the bucket
Answer:
21 ounces
Step-by-step explanation:
Answer:
15 ounces
Step-by-step explanation:
we know that the whole is 30 we know that Alex 1/10 and glen has 2/5 we dont know wht left over :: 1/10 + 2/5 = 1/10 + : 4/10 = 5/10 so 1 - 5/10 = 5/10
We need to find how many ounces of clay are left. Which equation can we use to find how many ounces are in 5/10
of the whole bucket? 5/10 x 30 and 5x 30 10
15 onces
The soccer club has planned a trip to a tournament. The cost of the van is
$231. When 3 students who are not members of the club join the trip, the
transportation cost per person drops by $4.50. How many soccer club
members are going to the tournament?
A. 14
B. 11
C. -14
D. -14, 11
Answer: B: 11
Step-by-step explanation:
Just to the quiz for it
An equation is formed of two equal expressions. The number of players going to the tournament is 11.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Since the cost of the van is fixed, therefore, 231. Thus, the two equations can be written as,
P × x = 231(P-4.50)×(x+3)=231Solving the above two equations we will get,
Px + 3P - 4.50x -13.5 = 231
3P - 4.50x - 13.5 = 0
3P - 4.50x = 13.5
3(231/x) - (4.50x) = 13.5
693 - 4.50x² = 13.5x
-4.50x² - 13.5x + 693 = 0
x² + 3x - 154 = 0
x = -14, 11
Since the number of members can not be negative, the number of players going to the tournament is 11.
Learn more about Equation:
https://brainly.com/question/2263981
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Please help me! I'm confused. Also, do not put any nonsense answers please. Thanks!
Answer:
use order of operations, PEMDAS.
p(paranthesis), e(exponents), m(multiplication), d(division), s(subtraction).
3 + 3 x (-4) ÷ 2 ÷ (1 - (-5))
so first work with whats in parenthesis
3 + 3 x (-4) ÷ 2 ÷ 6
now, exponents, we dont have any, so move to multiplication.
3 + (-12) ÷ 2 ÷ 6
now, we will do division
3 + (-6) ÷ 6
3 + (-1)
now add
and you get
2
but 2 isn't an option so i must have done something wrong, but I believe your answer should be B. 3
I hope this helps you!
EDIT: IF ANYONE ELSE IS LOOKING AT THIS FOR HELP THE CORRECT ANSWER IS B. 3
Find 62.7% of 177. Round to the nearest thousandth.
Answer:
110.979
Step-by-step explanation:
62.7% * 177 = 0.627 * 177 = 110.979
James has one 10p coin, one 50p coin and some 20p coins.
Altogether he has £2.00
How many 20p coins does he have?
Answer:
James has 7 20p coins.
Step-by-step explanation:
£2.00
- 50p
--------------
£1.50
- 10p
--------------
£1.40
--------------
140/20
14/2
7 (20p)
What is the solution to this equation? x-12=36?
A. 3
B. 36
C. 24
D. 8
I will make you Brainliest. Pls answer fast I'm in a test.
Simplifying x + -12 = 36 Reorder the terms: -12 + x = 36 Solving -12 + x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + x = 36 + 12 Combine like terms: -12 + 12 = 0 0 + x = 36 + 12 x = 36 + 12 Combine like terms: 36 + 12 = 48 x = 48 Simplifying x = 48
Answer:
that doesn't make sense but its 48
Step-by-step explanation:
Which combinations hold the same amount of liquid as a 14-cup jug?
Answer:
b
Step-by-step explanation:
hbjbmnbbbbbbbbbbbbbbbbbbbbbbbbbbbbhbbbbbbbbbbbbbbb
HELP PLS!!! WILL GIVE BRAINLIEST!!!
Answer:
The correct answer is B.2 plz mark as brainliest.
Step-by-step explanation:
Peggy takes 2.5 hours to deliver 328 magazines. What is the rate per hour she is delivering the magazines
Answer: 131 magazines per hour
Step-by-step explanation:
Peggy delivered 328 magazines in 2.5 hours.
To find out the rate at which she delivered these magazines, divide the number of magazines by the time taken to deliver them:
= Magazines / Time in hours
= 328 / 2.5
= 131 magazines per hour
PLS HELP! Thank you pls
Answer:
Step-by-step explanation:
no
i need help in mathematics 7th grade pls try to answer rlly fast
Answer: Option B
Step-by-step explanation:
Find f(2) if f(x)=(x+1)^2
a.6
b.9
c.5
Answer:
b. 9
Step-by-step explanation:
f(2) if f(x)=(x+1)^2
= (2 + 1)^2 = (3)^2 = 9
i hope its help
At a car garage there are 100 vehicles, 60 of which are cars, 30 are vans and the remainder are
lorries. If every vehicle is equally likely to leave, find the probability of a lorry leaving first.
Answer:
there are 10 of the other kind of cars
Step-by-step explanation:
Answer:
10%
Step-by-step explanation:
since there are 100 cars it makes it easy to make into a percentage. so since there are only 10 cars the awnser is 10%
Question 8 of 10
Which equation represents the slope-intercept form of the line below?
y-intercept = (0,2)
slope = -3/7
Answer:
y = (-3/7)x + 2
Step-by-step explanation:
slope-intercept form is y = mx + b, where m = slope and b = y-intercept.
all you need to do is plug the values into the equation! :)
since your slope is (-3/7), plug that in for m.
y = mx + b ⇒ y = (-3/7)x + b
and since your y-intercept is 2, plug that in for b.
y = (-3/7)x + b ⇒ y = (-3/7)x + 2
therefore, the line's equation in slope-intercept form is y = (-3/7)x + 2.
don't worry about the parentheses, i only put them in there to separate the 7 in -3/7 from x. i'm not good at putting equations in here on brainly lol i just wanted to make sure you didn't think that it was -3 over 7x.
i hope this helps! have a lovely day <3
Simplify the expression using the distributive property:
18x+20
————- =
2
Answer:
18x+20=2
18(-1)+20=2
Step-by-step explanation:
18(-1)=-18
-18+20=2