Which number rounds to 10,000 when you round it to the nearest ten thousand and to 6,000 when you round it to the nearest thousand?
Answer:
10000
Step-by-step explanation:
The answer would be 10000. You always use the digit to the right of the place you want to round to help you determine whether to round up or down. But notice you said "round the thousand", but you are actually rounding the ten thousand, by looking at the thousand.
Answer:
The number that rounds to 10,000 when rounded to the nearest ten thousand and to 6,000 when rounded to the nearest thousand is 7,500.
When 7,500 is rounded to the nearest ten thousand, the result is 10,000 because the ten thousand digit is 1 and the rounding digit (the thousands digit) is 5, which is greater than or equal to 5.
When 7,500 is rounded to the nearest thousand, the result is 6,000 because the rounding digit (the hundreds digit) is 5, which rounds up the tens digit to 0 and changes the thousands digit to 6.
20 m
12 m
b
What is the perimeter?
meters
Answer:
if length is 20 and width is 12 then the perimiter is 64
Step-by-step explanation:
The universal set, &, and set K are defined below. = {positive integers less than 10} K = {prime numbers} Write down all the elements of K'.
The elements of the complement of set K (K') are {1, 4, 6, 8, 9}.
The elements of the complement of set K (K'), we need to determine all the elements in the universal set that are not in set K.
The universal set, denoted as U, is defined as the set of positive integers less than 10.
The elements in the universal set U are {1, 2, 3, 4, 5, 6, 7, 8, 9}.
Set K is defined as the set of prime numbers.
The prime numbers less than 10 are {2, 3, 5, 7}.
To find the complement of set K (K'), we need to identify all the elements in the universal set U that are not in set K.
K' = U - K
Substituting the values, we have:
K' = {1, 2, 3, 4, 5, 6, 7, 8, 9} - {2, 3, 5, 7}
Performing the set difference operation, we remove the elements in set K from the universal set U:
K' = {1, 4, 6, 8, 9}
These are the positive integers less than 10 that are not prime numbers.
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Barney has a biased coin. When the coin is thrown once, the probability that the coin will land heads is 0.3 Barney throws the coin 4 times. Work out the probability that the coin will land heads exactly 3 times. (3 marks)
The probability that the coin will land heads exactly three times in four throws is approximately 0.0756 or 7.56%. We can use the binomial probability formula, which is P(X=k) = (n choose k) * p^k * (1-p)^(n-k), where X is the number of successes, n is the total number of trials, k is the number of successes we're interested in, p is the probability of success on a single trial, and (n choose k) is the binomial coefficient.
In this case, n=4, k=3, and p=0.3. So the probability of getting exactly three heads is: P(X=3) = (4 choose 3) * 0.3^3 * (1-0.3)^(4-3)
= 4 * 0.027 * 0.7
= 0.0756
Therefore, the probability that the coin will land heads exactly three times is 0.0756.
To calculate the probability of the coin landing heads exactly three times out of four throws, we will use the binomial probability formula. The formula is: P(X=k) = (nCk) * (p^k) * (q^(n-k))
In this case, n=4 (number of throws), k=3 (number of heads), p=0.3 (probability of heads), and q=0.7 (probability of tails, which is 1-p). Using the formula, the answer to the probability of the coin landing heads exactly three times in four throws is: P(X=3) = (4C3) * (0.3^3) * (0.7^(4-3))
P(X=3) = 4 * (0.027) * (0.7)
P(X=3) ≈ 0.0756
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can you help me please
Answer:
17.0 in
Step-by-step explanation:
The arc RS is calculated as
RS = circumference of circle × fraction of circle
= 2πr × \(\frac{150}{360}\)
= 2 × 3.14 × 6.48 × \(\frac{5}{12}\) ≈ 17.0 in ( to the nearest tenth )
given the equation 4x^2 − 8x + 20 = 0, what are the values of h and k when the equation is written in vertex form a(x − h)^2 + k = 0? a. h = 4, k = −16 b. h = 4, k = −1 c. h = 1, k = −24 d. h = 1, k = 16
the values of h and k when the equation is written in vertex form a(x − h)^2 + k = 0 is (d) h = 1, k = 16.
To write the given quadratic equation \(4x^2 - 8x + 20 = 0\) in vertex form, \(a(x - h)^2 + k = 0\), we need to complete the square. The vertex form allows us to easily identify the vertex of the quadratic function.
First, let's factor out the common factor of 4 from the equation:
\(4(x^2 - 2x) + 20 = 0\)
Next, we want to complete the square for the expression inside the parentheses, x^2 - 2x. To do this, we take half of the coefficient of x (-2), square it, and add it inside the parentheses. However, since we added an extra term inside the parentheses, we need to subtract it outside the parentheses to maintain the equality:
\(4(x^2 - 2x + (-2/2)^2) - 4(1)^2 + 20 = 0\)
Simplifying further:
\(4(x^2 - 2x + 1) - 4 + 20 = 0\)
\(4(x - 1)^2 + 16 = 0\)
Comparing this to the vertex form, \(a(x - h)^2 + k\), we can identify the values of h and k. The vertex form tells us that the vertex of the parabola is at the point (h, k).
From the equation, we can see that h = 1 and k = 16.
Therefore, the correct answer is (d) h = 1, k = 16.
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I plant a line of bamboo plants for a fence on my property line. I buy the plants when they are 10 inches tall, and the plants grow 3 inches a day. I am interested in how tall the plants will be after 10 days, and how long it will take them to grow to their full height of 70 inches. 12) Find an equation to model the situation given, using H for the height of the plants and t for time in days since I bought them.
I plant a line of bamboo plants for a fence on my property line. I buy the plants when they are 10 inches tall, and the plants grow 3 inches a day. I am interested in how tall the plants will be after 10 days, and how long it will take them to grow to their full height of 70 inches. 12) Find an equation to model the situation given, using H for the height of the plants and t for time in days since I bought them.
we have
H -----> height of the plants
t ------> time in days since I bought them
we know that
the equation of a line in slope intercept form is given by
H=mt+b
where
m is the slope or unit rate
b is the y-intercept or initial value
in this problem we have that
m=3 in/day
b=10 in
substitute
H=3t+10so
For t=10 days
substitute
H=3(10)+10
H=40 inwhen H=70 in
substitute
70=3t+10
solve for t
3t=70-10
3t=60
t=20 daysmWhich is the correct reason why (x+y)^2 is not equal to x^2+y^2
Answer:
Step-by-step explanation:
It would be easier to just show you.
Because we're using variables, I'm going to plug in a random set of numbers to stand for x and y.
(x+y)^2
(2+4)^2=36
vs.
x^2+y^2
2^2+4^2=20
The difference is because, following the order of operations, in the first situation you must first take care of what is in the parenthesis, which means you add x and y together-then you multiply that combined number by the 2nd power. Whereas in the second situation, you multiply x and y by the 2nd power separately, and then add the product of that together. So opposite order. In the first situation you add, then multiply. In the second, you multiply then add.
Two factor plants are making tv panels. Yesterday, plant A produced 8000 panels. Ten percent of the panels from plant A and 3% of the panels from plant B were defective. How many panels did plant B produce, if the overall percentage of defective panels from two plants was 7%?
Let panels produced by plant A be represented by a
Let panels produced by plant B be represented by b
Let the total panels produced by both plants be represented by x
Generating the equations from the statements given;
Total panels
\(\begin{gathered} a=8000 \\ a+b=x \\ 8000+b=x \end{gathered}\)Defective panels
\(\begin{gathered} \frac{10}{100}a=\frac{10}{100}\times8000 \\ a=800 \\ \\ \frac{3}{100}b=\frac{3}{100}\times b \\ =0.03b \\ \text{Total defective panels = 800+0.03b} \end{gathered}\)Since the defective panel is 7% of the total panels, then;
\(\begin{gathered} \frac{n\text{ umber of defective panels}}{\text{total panels}}\times100=7 \\ \\ \frac{800+0.03b}{8000+b}\times100=7 \\ \frac{800+0.03b}{8000+b}=\frac{7}{100} \\ C\text{ ross multiplying:} \\ 100(800+0.03b)=7(8000+b) \\ E\text{ xpanding the brackets,} \\ 80000+3b=56000+7b \\ 80000-56000=7b-3b \\ 24000=4b \\ \text{Dividing both sides by 4;} \\ b=\frac{24000}{4} \\ b=6000\text{panels} \end{gathered}\)Therefore, the number of panels produced by plant B is 6000panels
A straw is 20 centimeters long. Mr. Jones cuts off 8 centimeters of the straw. How long is the straw now?
Answer:
12cm long
Step-by-step explanation:
20cm-8cm = 12cm
a polynomial function of degree n has at most real zeros and at most relative extrema. t or f
A polynomial function of degree n has at most n real zeros and at most n-1 turning points.
What is polynomial function ?
In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only involves non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1.
What isa Zeros of Polynomials?
Every polynomial will have as many zeros as its degree if we are able to factor it over the entire set of complex numbers, though some of these zeros are repeated and therefore counted more than once. As the function might not be fully factorable over the set of real numbers, if we limit ourselves to the set of real numbers, we might or might not be able to identify this many zeros.
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Can someone help me with this Question.
The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.
\(P=3W+D\)A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.
B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.
\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.
That leaves \(27-14=13\) matches. These represent the matches team lost.
Finally, the answers are below.
\(A)29\)
\(B)13\)
Answer:
a) 29 points
b) 13 losses
Step-by-step explanation:
You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.
A 8 wins, 5 drawsThe number of points the team has is ...
P = 3W +D
P = 3(8) +(5) = 29
The team has 29 points.
B 54 pointsYou want the number of losses the team has if it has 54 points and 12 draws after 39 games.
The number of wins is given by ...
P = 3W +D
54 = 3W +12
42 = 3W
14 = W
Then the number of losses is ...
W +D +L = 39
14 +12 +L = 39 . . . substitute the known values
L = 13 . . . . . . . . . . subtract 26 from both sides
The team lost 13 games.
__
Additional comment
In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)
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help pls i need help HELP ASAP
Answer:
72 ÷ 8 = t
Step-by-step explanation:
To find out how many times 8 fits in 72, you need to divide 72 by 8.
This is a division problem.
To find the number of jars needed, divide 72 by 8.
Answer: 72 ÷ 8 = t
Which conditional and its converse are both true?
If x² = 4, then x = 2.
If x= 3, then x² = 6.
If x= 1, then 2x = 2.
If x = 2, then x² = 4.
Eric uses a random number generator to simulate the results of a coin toss.
He assigns the number 0 to heads and the number 1 to tails. If 1,000
numbers are generated, how many heads can he expect?
Answer:
hi the correct answer I believe would be 500
Step-by-step explanation:
since it's a 50 out of 50 chance (because it is heads and tails) the only logical way of thinking this through would be half and half
what I did was simply divide 1,000 by 2 to get 500 so there are 500 heads to be expected.
I hope I was any help to this
Find the slope of the line that passes through (-33, -27) and (-32, -25).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer: 2.
Step-by-step explanation:
You can find the slope between two points by using the "rise-over-run" method.
This method essentially calculates the slope as the quotient of the vertical span and horizontal span of the two points.
You can find it through this formula:
\(s = \frac{y2 - y1}{x2 - x1}\)
To find the slope, use two points, (x1, y1) and (x2 and y2).
For the points given, I will replace those values in the formula with (-33, -27) and (-32, -25).
\(s = \frac{-27 - (-25)}{-33 - (-32)}\\\\s = \frac{-2}{-1}\\\\s = 2\)
The slope of the line is 2.
Answer:
\( = 2\)
Step-by-step explanation:
\(( - 33 \: \: \: \: - 27) = > (x1 \: \: \: \: y1) \\ ( - 32 \: \: \: \: - 25) = > (x2 \: \: \: \: y2)\)
\(slope \\ = \frac{y1 - y2}{x1 - x2} \\ = \frac{ - 27 - ( - 25)}{ - 33 - ( - 32)} \\ = \frac{ - 27 + 25}{ - 33 + 32} \\ = \frac{ - 2}{ - 1} \\ = 2\)
hope this helps
brainliest appreciated
good luck! have a nice day!
**PLS SOMEONE HELP!! I WOULD APPRECIATE IT AND ILL GIVE BRAINLIEST:)**
Answer:
x = 3
Step-by-step explanation:
First, you should put what is shown into an equation, which would be:
x + x + x + x + x + 2 = 17 or 5x + 2 = 17
Next, you subtract by two on both sides o the equation to isolate the variable x:
5x = 15
Now, you can divide by five on both sides to find the actual value of x:
x = 3
Hope this helped somewhat! :)
3. Sally invested $5,000.00 in a savings account earning 3.49% simple interest. At the same time
Jon invested $3,000.00 in a money market account at a simple interest rate of 7.5%. How many
years will it take for the two to have the same amount of money in their accounts? How much
money do they have after that time period?
Answer:
ic hch7y8gygdr6dr6d7twwt7tfx7yuc yc i
(9-8) 7 - (12-11) 10 as a fraction
Answer:
After doing the following equation, I've come to the answer of 0.
(9-8)^7-(12-11)^10
1^7 - 1^10
= 0
0 --> ?/? (There are multiple answers to this question.)
0/1 = 0
0/2 = 0
0/3 = 0
0/4 = 0
Forgive me if the answer is incorrect. I checked the answer with a calculator and it was still 0.
please solve this two questions
ans -2
Answer:
here
Step-by-step explanation:
f(x) is 2xplas k
ff(4)is 10
What is the equation of this line?
A: y=-2x
B: y = ½x
C: y = -½x
D: y = 2x
Answer:
D
Step-by-step explanation:
when x=1, y should = 2
2(1)=2
so y=2x is correct
help me please asaaaaaapppp
The continuity of the piece-wise functions is defined as follows:
1. Not continuous.
2. Not continuous.
3. Not continuous.
How to define the continuity of the functions?A piece-wise function is a function that has multiple definitions, depending on the input.
Then the function is classified as continuous if the lateral limits at the points that the function change the definition are equal, and also equal to the numeric values of the function.
None of the functions in this problem are continuous, as:
For function 1, lim x -> 0^- = 0, lim x -> 0^+ = 2, hence different lateral limits. At x = 3, the lateral limits are also different.For function 2, lim x -> -6^- = 0, lim x -> -6^+ = 4. At x = 2, the lateral limits are also different.For function 3,lim x -> 0^- = 3, lim x -> 0^+ = -3.More can be learned about the continuity of a function at https://brainly.com/question/24637240
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the first term of a geometric sequence is 2, and the common ratio is 3. what is the 8th term of the sequence?1,458813,1224,374
The 8th term of the sequence is 4374. A geometric sequence is a sequence in which each term after the first is obtained by multiplying the previous term by a fixed, non-zero number called the common ratio.
To find the 8th term of the geometric sequence, we can use the formula for the nth term of a geometric sequence:
an = a1 x r^(n-1)
where an is the nth term, a1 is the first term, r is the common ratio, and n is the term number.
Given that the first term is 2 and the common ratio is 3, we have:
a1 = 2
r = 3
Plugging in n = 8, we get:
a8 = 2 x 3^(8-1)
a8 = 2 x 3^7
a8 = 2 x 2187
a8 = 4374
In summary, a geometric sequence is a sequence in which each term is obtained by multiplying the previous term by a constant called the common ratio. In this case, the first term is 2 and the common ratio is 3. We can use the formula an = a1 x r^(n-1) to find the nth term of the sequence. By plugging in n = 8, we get the 8th term of the sequence as 4374.
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6 h −1=3 helpppppppppppppppppppppppppppppppp
Answer:
h=2/3
Step-by-step explanation:
6h-1=3
add one to each side
6h=4
divide by 6
h=4/6
Simplify (divide by 2)
h=2/3
Suppose 42 gallons of water came out of a pipe in 6 minutes. What was the rate in gallons per minute?
Answer:
7 gallons per minute.
Step-by-step explanation:
42 / 6 = 7
Answer:
7 gallons per minute.
Step-by-step explanation:
42 divided by 6 = 7
and if you multiply 6 and 7 you will get 42
select all the equations that match the tape diagram
Answer: A,B, and D
Step-by-step explanation:
The diagram says that 35=8+6x and A,B, and C all make that answer.
Can anyone show me how to find Arithmetic Sequences?
A backpack that normally sells for $39 is on sale for $25. Find the
percent of change.
Answer: To find the discount, simply multiply the original selling price by the %discount:
ie: 39 x 33/100= $12.87
So, the discount is $12.87.
Step-by-step explanation: To find the sale price, simply minus the discount from the original selling price:
ie: 39- 12. 87= 26.13
So, the sale price is $26.13
Solve the equation d divided by 1.2 is equal to 6 PLS HELPP
Answer:
The answer is 7.2.
Step-by-step explanation:
Have a great day.
Answer:
d = 7.2
Step-by-step explanation:
all you have to do is multiply 1.2 by 6 to get your answer
\(1.2 \times 6 = 7.2\)
There are 4 different animals at a farm.
There are 19 more cows than Than sheep
19 ducks more than hens
So there are more hens than cows. How many animals are there in all.
Step-by-step explanation:
As per question
Cows - sheep = 19
Ducks - hens = 19.
One more relation between cow and hens should be given or given but data is missing. Necessary information is missing to find total number of animals. This is all one can do as per provided data.