Step-by-step explanation:
(3/9) × (-2/3
=> {3×(-2)}/(9×3)
=> (-6/27). Ans.
Or
(3/9) × (-2/3)
=> -2/9 Ans.
To win at LOTTO in one state, one must correctly select 6 numbers from a collection of 47 numbers (1 through 47 ). The order in which the selection is made does not matter. How many different selections are possible?
Answer:
Step-by-step explanation:
nCr = n! / r!(n-r)!
n=46
r=6
=46!/6!(46-6)!
=46!/[6!(40)!]
=(46*45*44*43*42*41*40!)/(6*5*4*3*2*1)(40!)
Cancel out 40!
=46*45*44*43*42*41/(6*5*4*3*2*1)
=6744109680/720
=9366819
Possible different selection 9366819
In ms. Morales's class the ratio of boys to girls is 3:7. The class sizes at Ms.morales's school range from 22 to 34 students per class. What is the total number of students in Ms. Morales class
The total number of students in Ms. Morales's class is either 20 or 30, depending on the value of x.
Let the ratio of boys to girls in Ms. Morales's class be 3x:7x, where 3x represents the number of boys and 7x represents the number of girls.
The total number of students in the class is equal to the sum of the number of boys and the number of girls, which is 3x + 7x = 10x.
We don't know the value of x, but we do know that the class size is between 22 and 34 students.
Therefore, we can set up an inequality based on the total number of students:
22 ≤ 10x ≤ 34
Dividing all parts of the inequality by 10, we get:
2.2 ≤ x ≤ 3.4
Since x represents a whole number of students, the possible values for x are 3 (if there are 30 students in the class) or 2 (if there are 20 students in the class).
If x = 3, then the total number of students is:
10x = 10(3) = 30
If x = 2, then the total number of students is:
10x = 10(2) = 20
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How many times did the team score less than 60 points?
Stem
4
5
6
7
Leaf
2,5,9
3,4,6,8,8,9
0,2,3,4,4,6,8
0,0,1,2
The functoin f has zeros at -3 and 4 witch graph could represent function f
Since I don't see the graphs:
⇒ I am going to answer by the general format of what you should see
The function has zeros at -3, 4:
⇒ which means that the function must interest the x-axis at x = -3 and
x = 4
Hope that helps!
⇒look at the image I uploaded which shows a possible answer
i need help with my homework PLEASE CHECK WORKNUMNER 3
3) We have a model that relates the number of trees and time, expressed in months (m).
This relation is:
\(N(m)=4384*2^{-m}\)We can find the month m where the number of trees is N(m) = 1096 as:
\(\begin{gathered} N(m)=1096 \\ 4384*2^{-m}=1096 \\ 2^{-m}=\frac{1096}{4384} \\ 2^{-m}=0.25 \\ 2^{-m}=0.25 \\ -m*\log_2(2)=\log_2(0.25) \\ -m*1=-2 \\ m=2 \end{gathered}\)Answer: The number of trees will be 1096 after m = 2 months [Option A]
Write f(x) = |x + 3| as a piecewise function.
Answer:fx
Step-by-step explanation:
What is the rate of decrease
$16, 000(.85) ^t
Answer:
%17
Step-by-step explanation:
If p is inversely proportional to the square of q, and p is 16 when q is 11, determine p
when q is equal to 4.
Answer:
p = 121
Step-by-step explanation:
inveresly proportional
pq² = k
find k the constant of proportionality
p is 16 when q is 11,
16 * 11² = k
k = 1,936
----------------------------
pq² = 1,936
determine p when q is equal to 4.
p * 4² = 1,936
16p = 1,936
p = 1,936/16
p = 121
Answer:
p= 121
Step-by-step explanation:
p\(\alpha\) \(\frac{1}{q^{2} }\)
p=k/\(q^{2}\)
k=p\(q^{2}\)
Get the value of your constant k
k=(16)(\(11^{2}\))
k= 1936
p= \(\frac{1936}{q^{2} }\)
When q=4
p= \(\frac{1936}{4^{2} }\)
p= 121
A........ divides a two - dimensional shape into two congruent shapes
Answer:
A diagonal. (A rectangle is divided into two triangles by a diagonal, for example.)
The diagonal of a triangle divides a two dimentional shape into two congruent shapes.
The congruent shapes are equally the same
White flag 50 points
Answer:
?you surrendering?
i have no idea what your talking about
Answer:
what? explain what the white flag is flag of surrender?
Need help plzzzz thank you brainest will be rewarded
Answer:
look I dont know the answer
Step-by-step explanation:
but look their is an aapp called MATH installed it and w you will get the answer
i am confused on finding the answer i have tried a few times and i do not understand
Answer:
Volume = 7.912
Step-by-step explanation:
V = πr²h
V = 3.14 × 3/4 × 3/4 × 6 3/4 ( π = 22/7 or 3.14 )
V = 3.14 × 9/16 ×18/4
V = 3.14 × 0.56 × 4.5
V = 7.912
c) I use the 4 triangles to make a trapezium. What is the area of the trapezium?
Answer:
1/2=10
Step-by-step explanation:
it depends upon the area of the triwngle
the united states senate appropriations committee has 29 members. how many different subcommittees of 5 members can be formed
Answer:
5 subcommittees
Step-by-step explanation:
Answer:
118755
Step-by-step explanation:
N(5 member) =₂₉C₅29!/5!(29-5)!=118755
I neeed helppp please it is timed
C = π d
C = (22/7) × (35/2) = (22/2)(35/7) = 11(5) =55
Answer: 55, second choice
Step-by-step explanation:
It is the solution. Mark as brainlist.
What is 10 x4 ten thousand
Answer:
400,000
Step-by-step explanation:
➟ 10 × 4 ten thousand
Since, a ten thousand = 10,000 therefore 4 ten thousand = 40,000
➟ 10 × 40,000
➟ 400,000
I need Help please!!!
Step-by-step explanation:
it seems you solved the tricky part yourself already.
just to be sure, let's do the first derivative here again.
the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...
f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =
= 3t⁴ + 18t³ + 24t² + 18t + 21
f'(t) = 12t³ + 54t² + 48t + 18
and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).
we simply put the input number (2) at every place of the input variable (t).
so,
f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =
= 426
p(5)=
p(1 or 2)=
p(odd number)=
p(not 6)=
p(even number)=
p(1,2,3,or 4)=
The probabilities, we need to understand the context. Assuming we are working with a fair six-sided die, where each face has an equal chance of landing, here are the probabilities:
P(5): Since there is only one face with a value of 5 on the die, the probability of rolling a 5 is 1/6.P(1 or 2): There are two faces with the values 1 and 2 respectively. Since these are mutually exclusive events (you can only roll one of them at a time), the probability of rolling a 1 or a 2 is 2/6, which simplifies to 1/3.P(odd number): Out of the six faces, three are odd numbers (1, 3, and 5). So, the probability of rolling an odd number is 3/6, which simplifies to 1/2.P(not 6): Since there is only one face with a value of 6, the probability of not rolling a 6 is 5/6.P(even number): Out of the six faces, three are even numbers (2, 4, and 6). So, the probability of rolling an even number is 3/6, which simplifies to 1/2.P(1, 2, 3, or 4): There are four faces with the values 1, 2, 3, and 4. Therefore, the probability of rolling any of these numbers is 4/6, which simplifies to 2/3.For such more questions on probability
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what number should replace the question mark
Answer: The missing number is 5.
Step-by-step explanation:
In the table we can only have numbers between 1 and 9,
The pattern that i see is:
We have sets of 3 numbers.
"the bottom number is equal to the difference between the two first numers, if the difference is negative, change the sign, if the difference is zero, there goes a 9 (the next number to zero)"
Goin from right to left we have:
9 - 6 = 3
6 - 2 = 4
4 - 9 = - 5 (is negative, so we actually use -(-5) = 5)
4 - 4 = 0 (we can not use zero, so we use the next number, 9)
3 - 3 = 0 (same as above)
? - 1 = 4
? = 4 + 1 = 5
The missing number is 5.
"The poker hand straight consists of five cards having consecutive denominations (but can have varying suits). What is the probability to be dealt a stright from a deck of 52 cards
Answer:
The probability of dealing with a straight from a deck of 52 cards = 0.00394
Step-by-step explanation:
An ace must occur to have a straight, the Ace can either be high or low which can appear at the beginning or near the end. The rank of straight for an ace to occur range from 2,3,4,5,6,7,8,9,10.
If a suit is already at hand, and we have the opportunity to select four suits.
The number of possible straight = 4⁵ × 10
= 10240
Thus, the probability to deal with a straight = \(\dfrac{10240}{^{52}C_5}\)
The probability to deal with a straight = \(\dfrac{10240}{\dfrac{52!}{5!(52-5)!} }\)
The probability to deal with a straight = \(\dfrac{10240}{\dfrac{52!}{5!(47)!} }\)
The probability to deal with a straight = \(\dfrac{10240}{2598960}\)
The probability to deal with a straight = 0.00394
Many commentators have written impassioned opinion pieces arguing for or against raising the minimum wage. Search the Internet and read at least one article from each side of the debate. After you finish reading, form your own opinion on the issue and present your reasoning in your own words, using complete sentences. Be sure to include a consideration of the opposing side's arguments and your reasons for rejecting them. Cite your sources in your response.
Here are some example search terms to get you started:
1. opinions about raising the minimum wage
2. pros and cons of raising the minimum wage
3. Should the minimum wage be raised?
Raising the minimum wage has the potential to reduce poverty, boost economic growth, reduce income inequality, and provide fair compensation for low-wage workers.
Why should the minimum wage be raised?According to a report by the National Bureau of Economic Research, increasing the minimum wage has a significant effect on reducing poverty rates among low-wage workers. A higher minimum wage would allow low-wage workers to better meet their basic needs, such as housing, food, and healthcare.
A higher minimum wage can boost consumer spending, which in turn can drive economic growth. The Economic Policy Institute estimates that raising the minimum wage to $15 per hour would increase the pay of nearly 32 million workers and generate over $107 billion in additional wages.
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At a restaurant, hot chocolate can be purchased in two different cup sizes. A 12-ounce cup costs $3.60 and a 16-ounce cup costs $4.80.
Is the linear relationship between cup size and cost also proportional? Why or why not?
Yes, the constant of proportionality is 0.3.
Yes, there is no constant of proportionality.
No, the constant of proportionality is 0.3.
No, there is no constant of proportionality.
Answer:
Step-by-step explanation:
Yes, the constant of proportionality is 0.3.
Answer:
Yes, the constant of proportionality is 0.3.
Step-by-step explanation:
12-ounce cup costs $3.60 => 1 ounce = $3.60 / 12 = $0.3
16-ounce cup costs $4.80 => 1 ounce = $4.80 / 16 = $0.3
$0.3 = $0.3
Yes, the constant of proportionality is 0.3.
HCF of 560 and 729 :)
The HCF of 560 and 729 is 1.
To find the HCF of 560 and 729, we use the Euclidean algorithm as follows;HCF of 560 and 729:Step 1: Divide the larger number by the smaller number, then find the remainder.729 ÷ 560 = 169 remainder 169Step 2: Divide the smaller number (i.e., 560) by the remainder (i.e., 169).560 ÷ 169 = 3 remainder 53.
Step 3: Divide the remainder from step 1 (i.e., 169) by the remainder from step 2 (i.e., 53).169 ÷ 53 = 3 remainder 10Step 4: Divide the remainder from step 2 (i.e., 53) by the remainder from step 3 (i.e., 10).53 ÷ 10 = 5 remainder 3Step 5: Divide the remainder from step 3 (i.e., 10) by the remainder from step 4 (i.e., 3).10 ÷ 3 = 3 remainder 1.
Step 6: Divide the remainder from step 4 (i.e., 3) by the remainder from step 5 (i.e., 1).3 ÷ 1 = 3 remainder 0The HCF of 560 and 729 is the last non-zero remainder, which is 1.
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What are the important variables in the problem below?
A test is worth 80 points. Multiple-choice questions are worth 2 points, and
short-answer questions are worth 4 points. If the test has 25 questions, how
many multiple-choice questions are there?
OA. p for points, m for multiple choice
OB. s for short answer, t for test
OC. m for multiple choice, s for short answer
OD. t for test, q for questions
The important variables are the two types of test questions which can be represented as :
m for multiple choice, s for short answerVariables are used to represent unknown values which could be worked out in a mathematical expression or problem.
The variables or unknown in this case are the type of test questions. which are : m for multiple choice, s for short answer
Therefore, the correct option is C. m for multiple choice, s for short answer
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The graph of this line shows the total amount Katrina earns for working a corresponding number of hours. How much did Katrina earn for working 7 hours?
The correct statement is that for each hour, the earnings go up by $7. Option A
What is straight line graph?If we have the equation of the line, we can substitute the value of 7 for the number of hours into the equation and solve for the earnings. The equation would typically be in the form of "earnings = slope * hours + y-intercept," where the slope represents the rate of earnings per hour and the y-intercept represents the earnings when no hours are worked.
We can find the slope of the graph to know as said above;
m = y2 - y1/x2 - x1
m = 14 - 0/2 - 0
m = 7
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solve each of the following problems. Show all steps or your work clearly.
Answer:
a) 24
b) -21.
Step-by-step explanation:
For question a), we first solve whatever is in the parenthesis, because of PEMDAS.
Our original equation was:
4 (6 + (-3)) + 3 (4)
We get rid of the parenthesis first. 6 + (-3) = 6 - 3 = 3, so we have:
4 (3) + 3 (4)
We can multiply, and then add.
12 + 12 = 24.
For question b), we once again start off with getting rid of the parenthesis. However, within the parenthesis, we still have to follow PEMDAS, meaning that we have to do the multiplication first and the subtraction after.
Thus we have:
-2 (6) + 3(-3)
We can multiply things out and then add.
-12 + -9
= -1 (12 + 9)
= -1 (21)
= -21.
Find cos(2x) from the given information. tan(x)= 9/8, x in quadrant I
Answer:
cos2x=-17/145
Step-by-step explanation:
Recall cos2x=cos^2x-sin^2x
Or cos2x=cos^2x-(1-cos^2x)*
Or cos2x=2cos^2x-1**
*By a Pythagorean Identity
**Combined like terms
I'm going to use third identity from above because I only have to find cosx or cos^2x to get requested answer for cos2x.
Recall Pythagorean identity 1+tan^2x=sec^2x.
Plug in our tangent valuem...
1+(9/8)^2=sec^2x
1+81/64=sec^2x
145/64=sec^2x
Cosine and secant are reciprocals of each other.
64/145=cos^2x
Now we are ready to plug in and get final answer:
cos2x=2cos^2x-1
cos2x=2(64/145)-1
cos2x=128/145-1
cos2x=-17/145
The perimeter of the TCL 3-Series Roku Smart TV is 112 inches. The width of the TV is 16 inches greater than its height. Find the width and the height of the TV.
Answer: Height = 20 inches, Width = 36 inches
Step-by-step explanation:
Let the height be \(h\) and the width be \(h+16\).
Using the formula for the perimeter of a triangle,
\(2(h+h+16)=112\\\\2(2h+16)=112\\\\2h+16=56\\\\2h=40\\\\h=20 \implies h+16=36\)
Find the value of x. AB=20 BC=6 CD=8
Step-by-step explanation:
there is the rule
outside length × (outside length + inside length) is the same for all lines originating from the same point.
so, we have
CD(CD + x) = BC(BC + AB) = 6(6+20) = 6×26 = 156
8(8 + x) = 156
8 + x = 19.5
x = 11.5
x ²+3x i need help loo
Answer:
the answer is 4x
Step-by-step explanation:
x×x+3x
x+3x
4x