Answer: B
Step-by-step explanation: 3x3=9 1x9 equals 9 if a number has 2 or more sets, it's a composite number. It would not become prime because 9 does not have 1 set.
Answer:
Step-by-step explanation:
b
The listed occupations of stockholders of a national computer company included 9% who were housewives. If six of these stockholders are randomly selected, what is the probability that none are housewives?
Answer:
no se la respuesta
Step-by-step explanation:
no se la respuesta
The probability that none of the six selected stockholders are housewives is,
⇒ 56.8%
The term probability refers to the likelihood of an event occurring. Probability means possibility.
The probability of an event occurring can be calculated by subtracting the probability of the event not occurring from 1.
Given that,
The listed occupations of stockholders of a national computer company included 9% who were housewives.
Since 9% of the stockholders are housewives.
Hence, the probability that a randomly selected stockholder is not a housewife is,
= [tex]1 - 9%[/tex]%
= [tex]1 - 0.09[/tex]
= [tex]0.91[/tex]
So, The probability that none of the six selected stockholders are housewives is,
⇒ [tex](0.91)^6[/tex]
⇒ [tex]0.5678[/tex]
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Find the limit
(calculus)
Answer:
I believe [tex]\lim_{x \to a} f(x)[/tex] also equals 0.
Step-by-step explanation:
We know that g(x) has to be greater than or equal to 0. That means f(x) has to be smaller than g(x) or equal to 0.
If we plug in any value of x, f(x) will be positive because of the absolute value. The only way we are going to get f(x) smaller than g(x) or equal to g(x) is to have very small fractions.
Therefore, if [tex]\lim_{x \to a} g(x)=0[/tex], then [tex]\lim_{x \to a} f(x)=0[/tex] because f(x) must be smaller or equal to 0 as well.
Answer:
[tex]\displaystyle{ \lim_{x\to a}f(x)=0[/tex]
Step-by-step explanation:
The other user posted a great answer, but I would like to show you a more mathematical way!
We have [tex]|f(x)|\leq g(x)[/tex].
By the definition of absolute value, this is the same as saying:
[tex]f(x)\leq g(x)\text{ and } -f(x)\leq g(x)[/tex]
For the right, we can divide both sides by -1 to acquire:
[tex]f(x)\leq g(x)\text{ and } f(x)\geq- g(x)[/tex]
We can now combine them. This yields:
[tex]-g(x)\leq f(x)\leq g(x)[/tex]
Now, we can use the Squeeze Theorem (a.k.a. Pinch or Sandwich Theorem). The Squeeze Theorem posits that if we have:
[tex]g(x)\leq f(x)\leq h(x)[/tex]
And:
[tex]\displaystyle{ \lim_{x \to c} g(x)= \lim_{x \to c} h(x)=L}[/tex]
Then the following must be true:
[tex]\displaystyle{ \lim_{x \to c} f(x)=L[/tex]
We have:
[tex]-g(x)\leq f(x)\leq g(x)[/tex]
And we know that:
[tex]\displaystyle{ \lim_{x \to a} g(x)=0[/tex]
Then it follows that:
[tex]\displaystyle{ \lim_{x \to a} -g(x)=- \lim_{x \to a} g(x)=0[/tex]
Therefore, by using the Squeeze Theorem, we can conclude that:
[tex]\displaystyle{ \lim_{x\to a}f(x)=0[/tex]
And we're done!
Please find the area and circumference of
the circle below
Answer:
area: 153.86
Circumference: 43.96 :D
Step-by-step explanation:
please help me. the picture can help me..
Answer:
i'm too lazy 2 do this rn, but just divide each price by the amount of water per pack. which ever one is the least is ur answer :p
Step-by-step explanation:
Answer:
Store 3
Step-by-step explanation:
May i have brainiest
Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is of a mile long. On Monday, Selma ran the loop in of an hour. What is Selma’s unit rate in miles per hour for Monday’s run?
In this activity, you will use the common denominator method to calculate a unit rate that involves fractions. Answer the questions that follow to calculate Selma’s unit rate in miles per hour.
part A. According to the question, the unit rate is to be expressed in which units?
Part B. Now, write Selma’s jogging rate as a complex fraction. A complex fraction is one whose numerator, denominator, or both are fractions. Be sure to include units in your answer.
Part C. Find the least common denominator of the two fractions from part B. To do this, list and compare the first five multiples of the denominators. The smallest number that appears in both lists is the least common denominator. Show your work.
Part D. Rewr
Complete question :
Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is 3/4 of a mile long. On Monday, Selma ran the loop in 1/6 of an hour. What is Selma's unit rate in miles per hour for Monday's run?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Length of trail = 3/4 of a mile.
Time taken = 1/6 of an hour
A) unit rate will be expressed in:
Length of trail = miles
Time taken. = hour
= miles per hour (mph)
B) Jogging rate :
Length of trail / time taken
3/4 miles ÷ 1/6 hour
3/4 * 6/1
18/4 = 4 2/4 = 4 1/2
Answer:
3/4/3/6 miles per hour
Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit. (If the quantity diverges, enter DIVERGES.) an
The sequence converges to a limit of 1/2.
We have,
Let's simplify the nth term of the sequence:
an = (n^2 + 3n) / (2n^2 + 5)
Dividing both the numerator and denominator by n^2, we get:
an = (1 + 3/n) / (2 + 5/n^2)
As n approaches infinity, the terms 3/n and 5/n^2 both tend towards zero.
Therefore, we have:
an = (1 + 0) / (2 + 0) = 1 / 2
The nth term of the sequence simplifies to a constant value of 1/2 as n approaches infinity.
Since the nth term converges to a specific value (1/2), the sequence itself is convergent.
The limit of the sequence is 1/2.
Thus,
The sequence converges to a limit of 1/2.
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The complete question:
Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit. (If the sequence diverges, enter DIVERGES.)
Consider the sequence defined by the nth term an = (n^2 + 3n) / (2n^2 + 5).
A scuba diver swam 96 ft.
below the surface of the
lake. He then swims up 49
ft. What is his depth now?
Answer:
96-49=47
Step-by-step explanation:
he goes down then up so 47
Answer:
-47
Step-by-step explanation:
-96 + 49
-47
Q13. A stone is dropped from a height of 5 km. The distance it falls through varies directly with the
square of the time taken to fall through that distance. If it falls 64 min 4 seconds. find the distance the
stone covers in the 5th second?
A. 36 m
B. 58 m
C. 72 m
D. 100 m
Answer:
The stone covers 36 m in the 5th second. Correct choice: A.
Step-by-step explanation:
Proportions
Two variables are said to be proportional if one of them can be calculated by multiplying the other by a constant of proportionality. If y and x are those variables, then:
y=k.x
There are other similar proportions where the relation is not linear. For example, if y is proportional to the square of x, then:
[tex]y=k.x^2[/tex]
According to the conditions of the question, the distance traveled by a stone dropped from a height of 5 Km varies directly with the square of the time taken to fall through that distance. If d is the distance and t is the time, then;
[tex]d=k.t^2[/tex]
To find the value of k, we use the given condition: The stone falls d=66 meters in t=4 seconds. Substituting:
[tex]64=k.4^2=16k[/tex]
Solving:
[tex]k=64/16=4[/tex]
Substitute the value of k into the equation to get the complete model.
[tex]d=4.t^2[/tex]
Now we calculate the distance when t=5 seconds:
[tex]d=4\cdot 5^2=4\cdot 25=100[/tex]
The stone has covered 100 m in 5 seconds. But we need to find the distance covered in the 5th second, that specific interval between 4 sec and 5 sec.
Since we already know the distance for t=4 sec (64 m), and the distance for t=5 sec (100 m), then:
distance in the 5th second = 100 m - 64 m = 36 m
The stone covers 36 m in the 5th second. Option A.
Round 1.24236 to the nearest hundredth
Answer:
1.24
Step-by-step explanation:
1. You are eating on a Tootsie Roll Lollipop that is in the shape of a sphere. It is giving up volume at a steady rate of 0.25 in3 /min. How fast will the radius be decreasing when the Tootsie Roll Pop is .75 inches across?
Answer:
Step-by-step explanation:
Since the Tootsie Roll lollipop is a sphere
volume of sphere= [tex]\frac{4}{3}piR^3[/tex] = -0.25 [tex]in^3/min[/tex]
the negative sign indicates that the volume is decreasing
upon differentiating
as the diameter given is =0.75 so radius will be = 0.375
[tex]dV/dt = 4piR^2*dR/dt[/tex]
so [tex]dR/dt = 0.25/4*3.14 *(0.375)^2[/tex]
So the radius is decreasing at the rate of dR/dt= 0.142in/min
The slope of a line is ¾. A different line passes through the points (6, 3) & (-1, 5). Are the lines parallel? Why or why not?
Answer:
B. They are not parallel because their slopes are not equal.
Step-by-step explanation:
Find the slope of the line that runs through points (6, 3) and (-1, 5):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{5 - 3}{-1 - 6} [/tex]
[tex] slope (m) = \frac{2}{-7} = -\frac{2}{7} [/tex]
Since the slope of the line that passes through points (6, 3) and (-1, 5) is not the same with line that has a slope of ¾, therefore, both lines cannot be parallel.
The answer is "B. They are not parallel because their slopes are not equal."
Graph the line that represents the equation
Answer:
In the attachment.Step-by-step explanation:
We need only two points.
Choose any two values of x. Put them to the equation and calculate the value of y:
[tex]y=-\dfrac{2}{3}x+1\\\\\text{for}\ x=0\\\\y=-\dfrac{2}{3}\cdot0+1=0+1=1\to A(0;\ 1)\\\\\text{for}\ x=3\\\\y=-\dfrac{2}{3}\cdot3+1=-2+1=-1\to B(3;\ -1)[/tex]
A river has a current of 2km per hour. Find the rate of Fred’s boat in still water if it travels 30 km downstream and the same time it takes to travel 14 km upstream.
Answer:
32km
Step-by-step explanation:
the 80th term of an arithmetic sequence is 110.75 and the common difference is 1.25. What is the first term of the sequence?
Answer:
12
Just plug it in [the equation] to try it to
Hillary needs to know if the triangle shown is a right triangle. Which equation should she use to help?
Answer:
a2+b2=c2
Step-by-step explanation:
A right triangle is a triangle in which one of the angles is a 90∘ angle. A triangle can be determined to be a right triangle if the side lengths are known. If the lengths satisfy the Pythagorean Theorem (a2+b2=c2) then it is a right triangle.
Identify the holes, vertical asymptotes, and horizontal asymptotes of the following.
[tex]f (x) = \frac{2}{x-3}[/tex]
Answer:
Horizontal asymptote: y = 0
Vertical asymptote: x = 3
Step-by-step explanation:
The vertical asymptote in this graph would be when x = 3 because it would make the denominator 0, which would make the equation undefined.
There will not be any holes in the graph, because there won't be any point undefined in the function except for when x = 3, but that's a vertical asymptote.
Now, for the horizontal asymptote, we see what value y approaches as x approaches plus and minus infinity. Since x is in the denominator, y will approach 0 when it's plus or minus infinity.
Horizontal asymptote: y = 0
Vertical asymptote: x = 3
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Tina recorded the number of calories she burned during a bike ride. The graph shows Tina’s calories burned, y, after x hours.If Tina rode her bike at a constant rate for the first three hours, what was Tina’s average calories burned, in calories per hour, between hour 0 and hour 3?
Answer:
400 calories per hour in the first 3 hours
Step-by-step explanation:
The c.o.p for the first 3 hours is 400
When you reverse the digits in a certain two-digit number you decrease its value by 45. What is the number if the sum of its digits is 9?
Answer:
72
Step-by-step explanation:
x+y=9 possible numbers
1 and 8
2 and 7
3 and 6
4 and 5
9 and 0
so
81-18=63
72-27=45 so this is the right number
63-36=27
54-45=9
90-9=81
The length of a rectangle is 3 times the width. The difference between the length and the width is 8 feet. Determine the rectangle’s width?
Answer:
Width = 4 feet
Step-by-step explanation:
Let l = length
Let w = width
l = 3w
l - w = 8
3w - w = 8
2w = 8
w = 4
What is 5/8 divided by 1/4?
Answer: 2.5
Step-by-step explanation: If you do 5/8 divided by 1/4 in the calculator it is 2.5.
Alex has to fill his 10 gallon fish tank with water. He only has a 1 pint bucket. How many times will he have to fill his bucket to fill the tank?
Answer:
80
Step-by-step explanation:
8 pints in a gallon so then you multiply 8 x 10 and get 80
a chef has 5 5/8 pound beef filet. she slices the fillet into 8 ounce steaks A. how many pounds is each steak. write your answer as a fraction in simplest form. B. how many 8 ounce steaks can the chef create from the fillet? How many ounces of beef are left over
Answer:
1/2 pound
90 ounces
11
Remaining 2 ounces
Step-by-step explanation:
Beef filet = 5 5/8 pounds
Slices of fillet = 8 ounces
A. how many pounds is each steak. write your answer as a fraction in simplest form.
1 pound = 16 ounces
Pounds of each steak = ounces per steak / ounces per pound
= 8 ounces / 16 ounces
= 1/2 pound
B. how many 8 ounce steaks can the chef create from the fillet? How many ounces of beef are left over
Beef filet = 5 5/8 pounds
= 45 / 8 pounds
Convert to ounces
= 90 ounces
Number of 8 ounces the chef can create = 90 ounces / 8 ounces
= 11.25
= 11
Remaining 2 ounces of beef
6m + 4n + 3m - 6
What are the coefficient[s]? Separated them with a comma
Answer:
6,4,3
Step-by-step explanation:
A coefficient is a number multiplied by a variable in the a equation. 6 is not a coefficient because it is not being multiplied by anything
Answer:
6,4,3, and -6
Step-by-step explanation:
These are the coefficients because usually coefficients are accompanied with a variable with is meaning to multiply. In this case you would combine all of your like terms.
1. I mark as brainliest
Answer:
d
Step-by-step explanation:
What is the value of 4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5) when x = 5?
Answer:
96
Step-by-step explanation
4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5)
4(5 - 2)(5 + 3) = 12(8) = 96
7(5 - 2)(5 - 5) = 0
- 6(5 - 3)(5 - 5)= 0
96+0-0 = 96
You are playing a video game. For each diamond you collect, you earn 110 points. You also earn 80 bonus points by completing the level in less than 2 minutes. You need to earn more than 1620 points to continue on to the next level. Write and solve an inequality that represents the numbers d of diamonds you must collect in less than 2 minutes to advance to the next level.
Answer:
110d=1620
Step-by-step explanation:
110d=1620
divide by 110 on each side
d=14.2727272727
so about 14 more diamonds need to be collected to move onto the next level
Algebra Find the missing number.
12. 34 – 8 = 35 -
n 5
Topic 6 Lesson 5
Solve for u.
3u = 4.8
I don’t know how to find what u equals can someone help me
Answer:
U = 1.6
Step-by-step explanation:
Divide 4.8 by 3.
NEED HELP WITH MATH! Will Give Brainliest! Image is below.
Answer:
I BELIEVE the answer is 3.
Step-by-step explanation:
However, I could be wrong, but I do know it's between 1 and 3.
Which of the following options have the same value as
5% of 352
Choose 2 answers: