Answer:
7/30 purple and 5/30 red or 1/6 red
Step-by-step explanation:
if u have a total of 30 marbles and 7 are puple the odds are 7/30 and if u put it back and take out another one the odds of getting a red are 5 out of 30 because there are still 30 and 5 out of the 30 are red but 5/30 = 1/6
Find the first five terms of the geometric sequence a1=0.3,an=10an-1
Answer:
{0.3, 3, 30, 300, 3000}
Step-by-step explanation:
Here a(1) = 0.3, and
a(2) = 3, and
a(3) = 30, and
a(4) = 300, and
a(5) = 3000
The first term (given) is 0.3, and the common ratio is 10.
If x=5 and y=3, what is the value of 2(x+y)2 – (xy)0.
Answer:
32
Step-by-step explanation:
[tex]2(x+y)2-(xy)0\\2(5+3)2-((5)(3))0\\2(8)2-(15)0\\16(2)-0\\32-0\\32[/tex]
So the right answer is 113
please see the attached picture for full solution
Hope it helps
Good luck on your assignment...
write the equation of a line with a slope of 3 and a y-intercept of 4. do not use spaces in your response.
Answer:
No Spaces - y=3x+4
Step-by-step explanation:
Using the format y= Mx+ b , m representping the slope and b representing the y intercept, the correct equation would be y = 3x + 4. Hope this helps : )
The equation of the asked line is y = 3x+4
What is an equation?The equation is the statement of equality between two expressions consisting of variables and/or numbers.
Given that, a line with a slope of 3 and a y-intercept of 4.
The standard equation of a line is;
y = mx+c
Therefore, putting the values we get,
y = 3x+4
Hence, The equation of the asked line is y = 3x+4
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Which of the following has a prime factorization of 2 x 2 x 3 x 5?
Answer:
60
Step-by-step explanation:
Just multiply them all together.
2 * 2 * 3 * 5 = 60
Answer 60
Step-by-step explanation: 60 devided by 2 = 30
30 devided by 2 = 15
15 devided by 3 = 5
5 devided by 5 = 1
hence verified
Can anyone help out with this one?
Answer:
the answer is 32
Step-by-step explanation:
8 x 4 = 32
tip: division is backwards multiplication with different signs
hope this helps :)
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After plotting the data where x=area, and f(x)=the length of one side of the square, Sam determined the model to approximate the side of a square was f(x)= *square root sign* x-5+3 Use the model Sam created to predict the side length of the square when the area is 86.
6
12
81
144
Answer:
12
Step-by-step explanation:
f(x) = sqrt( x-5)+3
Let x = 86
f(86) = sqrt(86 -5) +3
f(86) = sqrt(81) +3
f(86) = 9+3
f(86) = 12
The side length is 12
please need help I will be MARKING as BRIANILIST. thank you so much.
81 m+27 t
[tex]solution \\ 9(9m + 3t) \\ = 9 \times 9m + 9 \times 3t \\ = 81m + 27t[/tex]
hope it helps..
Good luck on your assignment...
What is the explicit formula for the geometric sequence with this recursive formula?
Answer:
A
Step-by-step explanation:
The explicit formula for a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
The recursive formula gives a term in the sequence by multiplying the previous term by r
Given the recursive formula
a₁ = - 6
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] ([tex]\frac{1}{4}[/tex] )
with r = [tex]\frac{1}{4}[/tex]
Then explicit formula is
[tex]a_{n}[/tex] = - 6[tex](\frac{1}{4}) ^{n-1}[/tex] → A
what is equivalent to 1/11?
Answer:
2/22, 3/33, 4/44
Step-by-step explanation:
Answer:
0.0909 9.09%
Step-by-step explanation:
What is the inverse of the function f(x) = 4x - 12
Answer:
y=x+12/4
Step-by-step explanation:
y=4x-12
x=4y-12 (then make y the subject)
x+12=4y(divide both sides by 4)
y=x+12/4
Which number produces an irrational number when multiplied by 1/4
Answer:
D
Step-by-step explanation:
1/4 x -36 = -9
1/4 x 4/3 = 1/3
1/4 x 12 = 3
But...
1/4 x 0.444444... = 0.111111...
So A is the answer
√12 produces an irrational number when multiplied by 1/4
What is an irrational number?A real number that cannot be expressed as a straightforward fraction is referred to as an irrational number. It cannot be described using a ratio. When p and q are integers and q is not equal to 0, N is not equal to p/q if N is irrational.
Given Four numbers to find the number that will produce an irrational number after dividing by 4. We will check them one by one:
For A, 0.4444:
=> 0.444
After multiplying by 1/4
=> 0.1111111
That can also write as 1/9(Not an irrational number)
For C, -√36:
=> -√36
After multiplying by 1/4
=>-√9/4
That can also write as 3/2(Not an irrational number)
For D, 4/3:
=> 4/3
After multiplying by 1/4
=> 1/3
That can also write as 1/3(Not an irrational number)
For B. √12:
=> √12
After multiplying by 1/4
=> √12/4
=>√(3/4)
That can also writes as √(3/4)(yes, an irrational number)
Therefore, The irrational number in the given option is B √12
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the diameter of a circle is 5 ft. Find the circumference to the nearest tenth(urgent)
Answer:
15.71
Step-by-step explanation:
To find the radius, half the diameter because r x 2 = diameter. 5/2 = 2.5
Put in circumference formula C=2πr
c=2 x 3.14 x 2.5
c= 2 x 7.85
c=15.7
Put the value into the circle circumference formula C=2πr
Given: HJ =4x+9, JK=3x+3
and KH=33
Find: x, HJ, and JK
X= BLANK?
HJ=BLANK?
JK=BLANK?
The value of x=3, length of HJ=21 and JK=12 can be found out using Segment Addition Postulate.
What is Segment Addition Postulate?
If B is between A and B, then AB +BC = AC
Find the values of x, HJ and JK
Given that, HJ=4x+9
JK=3x+3
KH=33
According to the Segment Addition Postulate, we can say that
HJ+JK=KH
4x+9+3x+3=33
(4x+3x)+(9+3)=33
7x+12=33
7x=33-12=21
x=3HJ=4x+9=4(3)+9
HJ=12+9=21
JK=3x+3=3(3)+3
JK=9+3=12
The value of x=3, length of HJ=21 and JK=12 .
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Which function has a domain and range that includes all real values?
Answer:
Its c
Step-by-step explanation:
just did the quiz
An empty swimming pool is going to be filled with water. The swimming pool is a cuboid, that is 25 metres long, 10 metres wide and 2 metres deep. It is being filled at a rate of 800 litres per minute Given 1m3 = 1000 Litres, how long it will take to fill the swimming pool? Give your answer in hours and minutes.
Answer: 10 hours and 25 minutes.
Step-by-step explanation:
Multiply 25, 10, and 2 to find volume. Volume is 500 metres.
1 meter = 1000 litres. 500 * 1000 = 500,000 litres in volume.
500,000/ 800= 625 minutes.
625 minutes = 10 hours and 25 minutes
It take 10 hours and 25 minutes to fill the swimming pool.
The volume of a cuboid is given by the formula:
Volume = Length × Width × Depth
= 25 m × 10 m × 2 m
= 500 m³
Now, convert the rate of filling from liters per minute to cubic meters per minute:
1 m³ = 1000 liters
So, 800 liters per minute = 800/1000
= 0.8 m³ per minute
Next, the time it will take to fill the pool:
Time (in minutes) = Volume / Rate of filling
= 500 m³ / 0.8 m³ per minute
= 625 minutes
Now, 1 hour = 60 minutes
625 minutes = 625 / 60
= 10 hours and 25 minutes
So, it take 10 hours and 25 minutes to fill the swimming pool.
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How are the following three expressions different from each other, if indeed they are? do not just state the value of each but explain what may be the same or different. Be as specific as you can be in your response.
1.(-2)^2
2.-2^2
3. -(2)^2
Answer:
Below.
Step-by-step explanation:
Number is different to the other 2. Its value is +4 because negative 2 squared = + 4.
The other 2 have negative values and -2 = -(2) so they have the same value, -4.
Could someone explain why (-4)² is equal to 16 but -4² is equal to -16
Answer:
It's all about the brackets.
Step-by-step explanation:
If we do (-4)^2, the brackets make it -4 x -4 and the two negatives make a positive of 16.
If we do -4^2, that means that the 4 is squared before putting the minus sign there so you have 4x4 = 16 then put the minus to get -16.
Hope this helps!
treviglaslibrary
Answer:
4^2= 16
Step-by-step explanation:
This is because when you square something your are multiplying that number by itself. So in this case you must multiply 4 x 4 which is sixteen. Another example of this is 3^2 which is 9. In this case you must multiply 3 x 3 which is nine.
Which statement can be represented by the equation 18+m-7.2?
A number, m, less than 18 is seven point two.
Eighteen decreased by a number, m, is seven point two.
A number, m, divided by 18 is seven point two.
Eighteen divided by a number, m, is seven point two.
Answer:
Eighteen decreased by a number, m, is seven point two.
Step-by-step explanation:
18+m=7.2
m=7.2-18
m= -10.8
18+(-10.8)
18-10.8=7.2
Eighteen decreased by a number m is seven point two
The statement that can be represented by the equation 18+m = 7.2 is eighteen decreased by a number, m, is seven point two.
HOW TO ANALYZE WORD PROBLEM?Word problem are used in mathematical solutions to create a word out of mathematical expressions and vice versa.
According to this question, the following expression is given: 18+m = 7.2
The mathematical expression can also be written as m = 7.2 - 18
Therefore, the statement that can be represented by the equation 18+m = 7.2 is eighteen decreased by a number, m, is seven point two.
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pls help need this done as soon as possible
Can anyone solve this?
Answer:
[tex]x= \frac{20}{3}[/tex]
Step-by-step explanation:
Set up the equation
[tex]\frac{15}{10} =\frac{10}{x}[/tex]
and cross multiply to solve for x.
can anyone help me plz and I need the person to explain it for me
Answer:
1 cm = 100 mi
28.9/1=28.9
28.9 x 100 = 2890 miles distance
2890 / 65 miles per hour = 44.4615 hours to drive
44.461/24 hours in a day = 1.85 rounded up is 2 days
About two days
If you have any questions you can ask
Step-by-step explanation:
Answer:
a) 2900
b) about 44 hours
2 days
Step-by-step explanation:
Which expression is equivalent to 2 (a + 3) when a = 3? 2 (3) 5 (3) 2 (3) + 3
Answer:
[tex]12[/tex]
Step-by-step explanation:
[tex]2 (a + 3)[/tex]
[tex]a=3[/tex]
[tex]2(3+3)[/tex]
[tex]2(6)[/tex]
[tex]=12[/tex]
Answer:
2 (3) + 6
Step-by-step explanation:
2( a + 3) if (a = 3)
then now is 2( 3 + 3 )
3+3 = 6........6 times 2 = 12
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
❌: 2(3) = 2 x 3 = 6 ←← not 12
❌: 5(3) = 5 x 3 = 15 ←← not 12
❌: 2(3)+3 = 2 x 3 = 6.... 6 + 3 = 9 ←← not 12
✅: 2(3)+6 = 2 x 3 = 6.... 6 + 6 = 12 ←← its 12
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
have a good day!
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Can someone help me out with this?
9) obtuse 10) isosceles
Carly tried to solve an equation step by step.
Find Carly's mistake.
Answer:
Step 1 is incorrect
Step-by-step explanation:
Answer:
step 1
Step-by-step explanation:
The cost of renting a car is $55/wk plus $0.15/mi traveled during that week. An equation to represent the cost would be
y = 55 + 0.15x,
where x is the number of miles traveled.
Suppose you have a maximum of $100 to spend for the car rental. What would be the maximum number of miles you could travel?
Answer:
300 miles
Step-by-step explanation:
100 - 55 =45
45/.15 =300
so x = 300
How does the graph of y = StartRoot x EndRoot + 2 compare to the graph of the parent square root function?
The graph is a horizontal shift of the parent function 2 units right.
The graph is a horizontal shift of the parent function 2 units left.
The graph is a vertical shift of the parent function 2 units up.
The graph is a vertical shift of the parent function 2 units down.
Answer:
The graph is a vertical shift of the parent function 2 units up.
Step-by-step explanation:
Our the function is:
y = √x + 2
Its parent function is: f(x) = √x
Answer:
The graph is a vertical shift of the parent function 2 units up.
Step-by-step explanation:
Our the function is:
y = √x + 2
Its parent function is: f(x) = √x
Then, the transformation can be rewritten as: f(x) + 2, which has the form f(x) + c, which is a vertical shift of f(x) c units up. Therefore, in this case, the parent function is shifted 2 units up.
This question is based on the concept of graph .Hence,the correct option is (c) i.e. the graph is a vertical shift of the parent function 2 units up.
Given:
The function of graph is [tex]\bold{y=\sqrt{x+2}}[/tex].
Its parent square root function is [tex]\bold{f(x)= \sqrt{x}}[/tex].
By the parent function we have to obtain given function ,So,we have to add on both sides 2,
f(x)+2 = [tex]\sqrt{x+2}[/tex]
Thus, we have to added 2 to transform the parent root function into given function.Therefore, graph is shifted vertically 2 units up.
Hence,the correct option is (c) i.e. the graph is a vertical shift of the parent function 2 units up.
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18. Use an inequality symbol (<, >,=, s) to compare -3 +7_-10 - 2
A. s
B.>
C. =
D.<
Answer:
-3 +7 > -10 - 2
Step-by-step explanation:
Given
-3 +7_-10 - 2
Required
Compare using any of the given inequality symbols
We start by solving both sides of the inequality
- 3 + 7 _ -10 - 2
(-3 + 7) _ (-10 - 2)
(4) _ (-12)
Having solved both sides of the inequality, it'll be observed that 4 (on the left hand side) is greater than -12 (on the right hand side);
Hence, the _ symbol can be replaced by the greater than symbol.
(4) _ (-12) can then be rewritten as
(4) > (-12) or
- 3 + 7 > -10 - 2
From the list of given options, option B is correct
Find the sum of the first 48 terms of the following series, to the nearest integer7,11,15,...
Answer:
7
Step-by-step explanation:
The sum of first 48 terms of the given series is 4848.
What is an arithmetic sequence?An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form sum of n terms of arithmetic sequence is Sₙ=n/2[2a+(n-1)d].
The given arithmetic sequence is 7,11,15,......
Here, a=7, d=11-7=4 and n=48
Now, S₄₈=48/2[2×7+(48-1)×4]
= 24(14+47×4)
= 24(14+188)
= 24×202
= 4848
Therefore, the sum of first 48 terms of the given series is 4848.
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Find the volume of a cone that has a radius of 3 inches and a height of 9 inches.
(Use 3.14 for pi and round the answer to the nearest hundredth.)
Answer:
84.82
Step-by-step explanation:
I rounded it to the decimals hundredth place if I did not it would have been 84.823.
Leticia is cutting a board to make a ramp for her skateboard. The ramp will slope from the ground up to a height of 4 feet. The board will make an angle of 25° with the ground. How long should she cut the board for her ramp? *
1 point
9.46 feet long
4.41 feet long
8.58 feet long
10 feet long
Answer:
Correct option: first one -> 9.46 feet long
Step-by-step explanation:
To find the length of the board for her ramp, we just need to use the sine relation of its angle with the ground.
The opposite side to the angle is the height of the ramp, and the hypotenuse of the triangle formed is the length of the board. So, we have that:
sin(25°) = height / length
0.4226 = 4 / length
length = 4 / 0.4226
length = 9.4652 feet
So the length of the board should be 9.46 feet (correct option: first one)