The number of possible combinations of 8 objects taken 6 at a time is 28. Then the correct option is D.
What is a combination?Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.
The number of possible combinations of 8 objects taken 6 at a time.
Then the number of the combination is given as
[tex]\rm ^8C_6 = \dfrac{8!}{(8-6)! 6!}\\\\\\^8C_6 = \dfrac{8 \times 7 \times 6!}{2 \times 1 6!}\\\\\\^8C_6 = 7 \times 4\\\\\\^8C_6 = 28[/tex]
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Graph the inequality of y less than or equal to2x + 2?
First you graph "y = 2x +2." You shade in the region below it, because it's y "LESS THAN" and you keep the line solid (not dotted) because it's "equal to" 2x+2 too.
Solve for x. 4x^2 - 48x + 144 = 0
Lightning strikes Earth 1000 times in 10 seconds. a. How many times does lightning strike in 12 seconds? Lightning strikes times in 12 seconds. Question 2 b. How many seconds does it take for lightning to strike 7250 times? It takes seconds for lightning to strike 7250 times.
Answer:
1000/10x12= answer
Step-by-step explanation:
Part A:
Divide the number of lightning strikes to the number of seconds to find the average rate.
1000 / 10 = 100 strikes per second
Now, multiply by 12 to find the number of strikes that occurred.
100 * 12 = 1200 strikes in 12 seconds
Part B:
Divide the number of seconds to the number of lightning strikes to find the average rate.
10 / 1000 = 0.1 seconds per strike
Now, multiply by 7250 to find the number of seconds that passed.
0.1 * 7250 = 72.5 seconds in 7250 strikes
Best of Luck!
Q1: Tyson is taking his basketball team to watch a college basketball game. He bought 8 tickets for $168 $ 168 . One parent bought her son's ticket separately and paid $24 $ 24 . Who had the better deal?
Answer:
Tyson had the better deal
Step-by-step explanation:
We simply want to know who paid less for the ticket.
Tyson bought 8 tickets for the members of his basketball team and it cost it $168 in total.
The cost of each ticket is therefore:
168 / 8 = $21
He paid $21 for each ticket.
The parent bought her son's ticket for $24.
Therefore, Tyson had the better deal because he paid $3 less than the woman.
PLEASE HELP ME! Awarding brainliest!!
Pythagorean theorem.
Answer:
116.6
Step-by-step explanation:
100^2 + 60^2 = c^2
1360 = c^2
square root of 1360 is 116.6
Answer:
Shortcut = 116.62
Step-by-step explanation:
Hypotenuse = [tex]\sqrt{a^{2} +b^{2} } = \sqrt{60^{2} +100^{2} } = 116.61904 = 116.62[/tex]
Given parallelogram ABCD, m\angle A=5x+18 and m\angle B=3x-6 find find m\ C
Answer:
57
Step-by-step explanation:
Firstly, we will need to calculate what x is.
To calculate this, the important property of the parallelogram to use is that adjacent angles are supplementary.
This means A and B are supplementary while B and C are also supplementary
what we are trying to say is that they add up to be 180
Thus,
5x + 18 + 3x -6 = 180
8x +12 = 180
8x = 180-12
8x = 168
x = 168/8
x = 21
Thus, the measure of angle B is 3x-6 = 3(21) -6 = 63-6 = 57
Now, another important property of parallelograms is that opposite angles are equal. This means that angle B= C = 57
Hey can anyone pls pls help me in dis math problem real quick!!!!!!
Answer:
1. 10.64
2. 6.45
Step-by-step explanation:
Hope this helps and can u mark me brainliest?
Michael has soccer practice every other day, swimming practice every third day, and tennis lesson every 5th day. This Wednesday he had soccer, swimming, and tennis. a In how many days will Michael have all three sports at the same day again?
Answer:
30
Step-by-step explanation:
The LCM of 2,3,5 is the result of multiplying all prime factors the greatest number of times they occur in either number. The LCM of 2,3,5 is 2⋅3⋅5 = 30
Answer:
30
Step-by-step explanation:
Its that easy. I got the answer from online.
if an integer from 3 through 14 is chosen at random, what is the probability that the number chosen is not prime
Answer:
Step-by-step explanation:
prime: 3 5 7 11 13
P(notprime) = (12-5)/ 12 = 7/12
An orange is shot up into the air with a catapult. The function h given by h(t)=15+60t-16t^2 models the orange’s height, in feet, t seconds after it was launched select all the true statements about the situation.
Complete question is:An orange is shot up into the air with a catapult. The function h given by h(t) = 15 + 60t - 16t² models the orange’s height, in feet, t seconds after it was launched.
Select all the true statements about the situation.
Options:
1. The domain of function h only contains values greater than or equal to 0.
2. The orange is at the same height 1 second after launch and 2 seconds after launch.
3. After 3 seconds, the orange has hit the ground.
4. The orange is 15 feet above the ground when it is launched.
5. The value t = 10 does not belong to the domain of h.
Answer:
Option 1 - True
Option 2 - False
Option 3 - False
Option 4 - True
Option 5 - True
Step-by-step explanation:
Looking at the options,
-The domain is the x or t value and it is time. Now, time can only be positive or greater than or equal to zero i.e. t ≥ 0. Thus, option 1 is true.
- At t = 1 second;
h = 15 + 60(1) - 16(1)²
h = 15 + 60 - 16 = 59 ft
Also, at t = 2 seconds;
h = 15 + 60(2) - 16(2)²
h = 15 + 120 - 64 = 71 ft
So,value of h is not the same at t = 1 and t = 2. Thus, option 2 is not true.
- The orange will hit the ground when h(t) = 0.
However, at t = 3;
h(t) = 15 + 60(3) - 16(3)²
h(t) = 51 ft
h(t) is not equal to zero at t = 3, so option 3 is false
- when the orange is launched it is at time t = 0.
Thus,
h(0) = 15 + 60(0) - 16(0)²
h(0) = 15 ft
So option 4 is true.
- At t=10, h(t) = 15 + 60(10) - 16(10)²
h(10) = -985
This means the orange would be below ground level and thus doesn't belong to the domain of h, so option 5 is true.
Answer:
1 true 4 true and 5 true the rest are false
Step-by-step explanation:
Which student wrote an equation with a solution of x = -8
Jenna: -3 ( x - 9 ) = -3
Archer: 4 ( 2x - 16 ) = 16
both
neither
jenna
archer
Answer:
Neither
Step-by-step explanation:
Both equations are x=10
How many significant digits are there in the number 0.0001001? A. 4 B. 6 C. 8 D. 10
Answer:
A. 4
Step-by-step explanation:
leading zeros not included and the sig figs start from the first 1 so 4 sig figs
Answer:
4
Step-by-step explanation:
Suppose compact fluorescent light bulbs last, on average, 11,500 hours. The distribution is normal and the standard deviation is 400 hours. What percent of light bulbs burn out within 12,300 hours?
Answer:
2.275%
Step-by-step explanation:
The first thing to do here is to calculate the z-score
Mathematically;
z-score = (x-mean)/SD
from the question, x = 12,300 hours , mean = 11,500 hours while Standard deviation(SD) = 400 hours
Plugging the values we have;
z-score = (12,300-11,500)/400 = 800/400 = 2
Now, we want to calculate P(z ≤ 2)
This is so because we are calculating within a particular value
To calculate this, we use the z-score table.
Mathematically;
P(z ≤ 2) = 1 - P(z > 2) = 1 - 0.97725 = 0.02275
To percentage = 2.275%
Solve the equation.
29= p x 20
p= __
Answer:
1.45
Step-by-step explanation:
1. divide both sides of the equation by 20 to get rid of the 2o on the right side
[tex]\frac{29}{20}[/tex]= p x [tex]\frac{20}{20}[/tex]
now u end up with 1.45=p
hope it helped
Sophie has to choose seven different positive (non zero) whole numbers whose mean is 7.
What is the largest possible number that she could choose as one of the seven numbers?
The largest possible number that she could choose as one of the seven numbers is _ _ because
Answer:
The largest possible number is 28.
Step-by-step explanation:
Sophie has to choose seven different numbers whose mean is 7, this means that the sum of the numbers is 49. (since the mean is the sum of them all divided by 7 and if we want the mean to be 7, then the sum would need to be 49).
We are asked what is the largest possible number she could choose, so therefore, the other six numbers should be non-zero and the smallest ones so she would have to choose the numbers from 1 to 6 first.
Let's see how much they sum up: [tex]1+2+3+4+5+6=21[/tex]
So now, she needs one more number to sum up to 21 and that will give her 49 in total, this number is 28 (since 28 + 21 =49).
Thus, 28 is the largest number she could choose because if she chose any other greater number the mean would be bigger than 49.
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3-2: MathXL for School: Practice & Problem Solving
3.2.PS-8
Find the value of x when 6 - 2x = 5x - 9x + 10.
The value of x is
Answer:
Step-by-step explanation:
6 - 2x = 5x - 9x + 10 {add the like terms}
6 - 2x = - 4x + 10 {add (-6) to both side}
6 - 2x - 6 = - 4x + 10 - 6
-2x = - 4x + 4 {add 4x to both sides}
-2x + 4x = -4x + 4 + 4x
2x = 4 {divide both sides by 2}
2x/2x = 4/2
x = 2
The height of a trapezoid is 16in. The bases are 32in and 24in. What is the area of the trapezoid.
Answer:
448in^2
Step-by-step explanation:
The area of a trapezoid is the bases added divided by two times the height.
(32+24)/2*16=28*16=448 in^2
Is a percent increase for 50 to 70 = to the percent decrease from 70 to50
Answer:
no it is not.
Step-by-step explanation:
%increase = 40% while %loss = about 28.6%
Someone please help me!!!
Answer: Answer is B
Step-by-step explanation:
Remeber that the shorter a container is doesn't mean it has less mass or volume. the width can mean it holds more. If the radius is twice as big that can mean the contents is more and your getting a better deal. hOpe this will help.
What is the area of the circle with a D equals 10
Answer:
A =78.5
Step-by-step explanation:
We need the radius to find the area of a circle
r = d/2 = 10/2 =5
The area of a circle is given by
A = pi r^2
A = 3.14 (5)^2
A =3.14 (25)
A =78.5
What is the degree of
6x^5 – 4x^2 + 2x^2 - 3 + x?
A. 3
B. 5
C. 6
D.2
Hello!
Answer:[tex]\boxed{ \bf The~degree~of~the~polynomial~is~B.~5}[/tex]
___________________________________________
Explanation:The term with the greatest exponent determines the degree of the polynomial.
Let's list all the terms:
[tex]6x^{5}[/tex]-4x²2x²-3xOut of all of these terms, the first one has the greatest exponent (5).
help me pls i dont know what to do
The answer is the last one: k = 5
Hope I helped and good luck!
Hi can you please help me
These questions are some teacher's hairbrained idea that we can keep the students current on algebra while learning geometry. While there are many ways to combine algebra and geometry, this way is awful.
Triangle angles add to 180 degrees. Geometry done.
Equation that models ...:
2x + 5 + 3x + 7 + 2x = 180
Solving,
7x + 12 = 180
7x = 168
x = 168/7 = 24
Answer: x=24
A=2x+5=2(24)+5= 53°
B = 3x+7 = 3(24) + 7 = 79°
C = 2x = 48°
Answer: A=53°, B=79°, C=48°
The intensity, or loudness, of a sound can be measured in decibels (dB), according to the equation I (d B) = 10 log left-bracket StartFraction I Over I Subscript 0 Baseline EndFraction Right-bracket, where I is the intensity of a given sound and I0 is the threshold of hearing intensity. What is the intensity, in decibels, [I(dB)], when I = 10 Superscript 32 Baseline (I Subscript 0)?
Answer:
The intensity in decibel is 320 decibelStep-by-step explanation:
Given the intensity, or loudness, of a sound measured in decibels (dB), according to the equation [tex]I (dB)= 10log(\frac{I}{Io} )[/tex] where;
I is the intensity of a given sound and
[tex]Io[/tex] is the threshold of hearing intensity
To get I(dB) when [tex]I=10^{32} Io[/tex]
We will substitute the value of I = [tex]I=10^{32} Io[/tex] into the equation above to have;
[tex]I (dB)= 10log(\frac{10^{32}Io }{Io} )\\I(dB)=10log10^{32}\\ I(dB)=32*10log10\\[/tex]
Since log10 = 1;
[tex]I(dB)=32*10(1)\\I(dB)=320[/tex]
The intensity in decibel is 320 decibel
Answer:
Its D or 80
Step-by-step explanation:
I=10^8 (I subscript 0) can be written as I/I subscript 0, and you can plug that right into the log to get 80.
factor: 10xsquared -11x-6=
Answer:
(5x+2)(2x-3)
Step-by-step explanation:
this is the answer
Simplify the complex fraction.
Alw
2 3/4 1 1/8
Answer:
= 99/32
Step-by-step explanation:
2 3/4 1 1/8
= 11/4 * 9/8
= 99/32
Study the topographic map.
Which best describes the location of the picnic area?
X 877
Two creeks flow through the picnic area.
Several steep slopes are found inside the picnic area.
The elevation changes from 635 to 600 at the picnic area.
The highest point inside the picnic area has an elevation
of 859.
5
800
700
Equation
700
635
+ Picnic Area
600
Answer:
The correct answer is C) The elevation changes from 635 to 600 at the picnic area.
If one factor of x2 + 2x - 24 is (x+6), what is the other factor?
eOf
(x+8)
(x-8)
(x+4)
(x-4)
Answer:
(x - 4)
Step-by-step explanation:
Given
x² + 2x - 24
Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (+ 2)
The factors are + 6 and - 4, since
6 × - 4 = - 24 and 6 - 4 = + 2, thus
x² + 2x - 24 = (x + 6)(x - 4) ← in factored form
Thus the other factor is (x - 4)
The solution is Option D.
The equation x² + 2x - 24 = 0 has the factors as ( x + 6 ) and ( x - 4 )
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
x² + 2x - 24 = 0 equation (1)
The equation can be factorized as
x² + 6x - 4x - 24 = 0
Taking x as the common factor , we get
x ( x + 6 ) - 4 ( x + 6 ) = 0
So , the equation will be
( x + 6 ) ( x - 4 ) = 0
Therefore , the factors of x are -6 and 4
Hence , the factors of the equations are ( x + 6 ) and ( x - 4 )
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Please Find the surface area of the sphere. Round your answer to the nearest hundredth.
For this question, we are concerned with the movement of an object
along a path in the plane. We are assuming that the plane is a
coordinate plane and the object starts at the point. As the object
moves along the path, each point on that path has two coordinates.
The coordinates depend on the distance traveled along the path. Let
us call this distance S, the length of the path from the origin to a point
P on the path.
What value of s yields the coordinate (3, 4)?
What value of s yields the coordinate (9, 1)?
x (6) =
y (7) =
Answer:
We have to questions here where we need to find the distance from the origin to each given point.
For (3,4).The formula for distance is
[tex]s=\sqrt{x^{2}+y^{2} }[/tex]
[tex]s_{(3,4)}=\sqrt{3^{2}+4^{2} } =\sqrt{9+16}=\sqrt{25}\\ s_{(3,4)}=5[/tex]
Therefore, the value s that yields the coordinate (3,4) is 5 units.
For (9,1).[tex]s_{(9,1)}=\sqrt{9^{2}+1^{2} } =\sqrt{81+1}=\sqrt{82}\\ s_{(9,1)} \approx 9.05[/tex]
Therefore, the value s that yields the coordinate (9,1) is 9.05 units, approximately.
The values of s that yield the coordinates (3.4) and (9,1) are: 5 and 9.1, respectively
The coordinates are given as:
(3,4) and (9,1)
The single value that yields the coordinates is calculated as:
[tex]s = \sqrt{x^2 + y^2}[/tex]
For (3,4), we have:
[tex]s = \sqrt{3^2 + 4^2} = 4[/tex]
For (9,1), we have:
[tex]s = \sqrt{9^2 + 1^2} = 9.1[/tex]
Hence, the values of s that yield the coordinates (3.4) and (9,1) are: 5 and 9.1, respectively
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