Answer:
4368 ways
Step-by-step explanation:
We want to choose 5 objects,without replacement from 16 distinct objects.
We can use combination in this case. The formula for the combination is given by :
[tex]_{n}C_r=\dfrac{n!}{r!(n-r)!}[/tex]
We have, n = 16 and r = 5
So,
[tex]_{16}C_5=\dfrac{16!}{5!(16-5)!}\\\\_{16}C_5=\dfrac{16!}{5!11!}\\\\=4368[/tex]
So, there are 4368 ways in which we want to choose 5 objects,without replacement from 16 distinct objects.
In a petri dish, a certain type of bacterium doubles in number every 20
minutes
There were originally 8, or 23 bacteria in the dish. After 140 minutes, the
number of bacteria has doubled 7 times, multiplying by 27.
Now the population of bacteria is 23.27. Expressed as a power, how many
bacteria are in the petri dish after 140 minutes?
O A. 210
B. 410
C. 27
D. 221
SUBMIT
Find the function value f(-8)
f(x)=6x-1
Step-by-step explanation:
-8=6x-1
You will move the-8 to the right hand side which will become +8 and then you move+6x to the right hand side which will become -6x
-6x=-1+8
-6x=7
You will divide both sides by-6
-6x/-6=7/-6
x=7/-6
Which of the following logarithmic expressions have been evaluated correctly, to the nearest hundedth? Select all that apply.
A. log3 8 = 0.43
B. log3 6 = 1.63
C. log4 5 = 1.16
D. log2 32 = 1.51
Answer:
b
Step-by-step explanation:
ive done it before
HELP PLEASE!! I WILL MARK BRAINLIST
Answer:
D
Step-by-step explanation:
Have a nice day :)
whats 926 divided by 30
[tex]30.87[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \frac{926}{30} \\ = 30 \frac{26}{30} \\ ( \: or \: ) \\ = 30.8666 \\ = 30.87 [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
how many pieces of jewelry could she buy?
A woman went to a departmental store's one-day sale. She bought five blouses for $30 each and a pair of shoes for $55. She also wanted to buy some jewelry. Each tom of jewelry was bargain priced at $11.50 each. If she brought $251 with her,
She could buy pieces of jewelry
Enter your answer in the answer box
What is the volume of a cylinder, in cubic feet, with a height of 3 feet and a base diameter of 18 feet?
Answer:
763.41 ft
Step-by-step explanation:
V=π(d/ 2)2*huse formulaThe fencing William chooses costs $29.53 per foot, including installation. What will the fencing cost? Show your work.
Answer:
[tex]C = 29.53x[/tex]
Step-by-step explanation:
Given
[tex]Unit\ cost = \$29.53[/tex]
Required
The cost of fencing (C)
The cost is calculated as:
[tex]C = Unit\ Cost * Perimeter\ of fencing[/tex]
Let:
[tex]x \to Perimeter\ of fencing[/tex]
So, we have:
[tex]C = Unit\ Cost * x[/tex]
[tex]C = 29.53 * x[/tex]
[tex]C = 29.53x[/tex]
The question cannot be solved further since the dimension of the fence is not given
If you know the dimension, calculate the fence perimeter and substitute the value for x
my baby sister was born 2 ½ ago . how many months old is she
help me pls pls pls plsss
How many solutions does this linear system have?
y=-1/2x+4
x + 2y = 8
one solution: (8,0)
one solution: (0,8)
no solution
O infinite number of solutions
Answer:
no solution
Step-by-step explanation:
__________
There are ''infinite number of solutions'' does this linear system have.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Linear systems are,
⇒ y = -1/2x + 4 ... (i)
⇒ x + 2y = 8 .. (ii)
Now, From equation (ii);
⇒ x + 2y = 8
⇒ 2y = - x + 8
⇒ y = - 1/2x + 4
Which is same as equation (i).
Hence, There are infinite number of solutions does this linear system have.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ7
A pupil dilates from 4.5 millimeters to 8 millimeters. What is the scale factor of the dilation?
Answer:
[tex]\frac{80}{45} =k[/tex]
Step-by-step explanation:
image/actual= 8/4.5
8(10)/4.5(10)= 80/45
the measure of an exterior angle of a triangle is greater than the measure of either of its remove interior angles
Answer:
what do u want exactly or it us a theorem
Answer
Step-by-step explanation:
If any of the graphs below have a Hamiltonian circuit, list the vertices of the complete circuit. There may be many possibilities. For full credit, just list one for each graph, if the circuit exists
9514 1404 393
Answer:
ABHGEFDCAdoes not existECBADFEStep-by-step explanation:
A Hamiltonian circuit visits each node once and returns to its start. There is no simple way to determine if such a circuit exists.
__
For graph 2, if there were a circuit, paths ACB, ADB, and AEB would all have to be on it. Inclusion of all of those requires visiting nodes A and B more than once, so the circuit cannot exist.
__
For graph 3, the circuit must include paths BAD and DFE. That only leaves node C, which can be reached from both nodes B and E, so path ECB completes the circuit.
This table shows information about the number of
days of holiday taken last year by the employees at a
company.
Calculate the mean number of holiday days taken.
Give your answer to 1 d.p.
Holiday days taken 25
26
27
28
29
30
Frequency
6 9 7 7 3 0
2
Answer:
Mean number of holidays taken =26.6
Step-by-step explanation:
To find the mean,
We use Σfx/Σf
Σfx =150+234+189+84+0+60
=717
Σf= 6+9+7+3+0+2
=27
Σfx/Σf= 717/27
26.6
I’ll mark brainliest
Answer:
B
Step-by-step explanation:
they said 2 hours for each final
Which of the following terms have a GCF of ? Select two options.
Answer:
hi please upload the photo so we can help :)
Answer:
A:12p^3r and D:54p^3
Step-by-step explanation:
Find the volume of the figure shown below.
A)42 1/2 units^3
B)11 1/4 units^3
C)14 1/4 units^3
D)80 1/4 units^3
E)None of these answers are correct
Answer:
A. 42½ units
Step-by-step explanation:
the volume = 5×2×4¼ = 10×4¼ = 42½
NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.
Let u= (5,-12) and c= -3.What is ||cu||?
A: 21
B: 51
C: 39
D: -39
Answer:
CU=-3(5,-12)
CU=36-15
CU=21
The answer is A=21
Answer:
[tex]=21[/tex]
Correct option is A
Step-by-step explanation:
[tex]-3\left(5-12\right)\\Follow\:the\:PEMDAS\:order\:of\:operations\\\mathrm{Calculate\:within\:parentheses}\:\left(5-12\right)\::\quad -7\\5-12=-7\\=-3\left(-7\right)\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:-3\left(-7\right)\::\quad 21\\-3\left(-7\right)\\\mathrm{Apply\:rule\:}-a\cdot \left(-b\right)\:=\:a\cdot \:b\\-3\left(-7\right)=3\cdot \:7=21\\=21[/tex]
Each side of a square is (7 + 3x) units. Which is the perimeter of the square?
Answer:
28 + 12xStep-by-step explanation:
Given,
Sides of a square is = 7 + 3x
Therefore,
Perimeter of a square = 4 × side
= 4 × (7 + 3x )
= 28 + 12x (Ans)
Determine the angles. There’s only two answers.
A. 90 clockwise
B. 90 counterclockwise
C. 180
D. 270 clockwise
E. 270 counterclockwise
Answer:
its would be a and d
Step-by-step explanation:
6 times 5
Find the value of y
A) 9.850
B) 18.610
C) 65.825
D) 125.365
Answer:
B) 18.610
Step-by-step explanation:
Using SOHCAHTOA (trig ratios), the tangent of 28° is the ratio of its opposite length to its adjacent.
in this scenario, the side opposite to 28°, and the side adjacent to it is 35°
tan 28° = y/35
Using inverse operations, multiply both sides by 35
y = 35 * tan 28
Solve your answer using your calculator.
I attached a picture that can help you later to recognize what function to use depending on the sides given.
One pair of parallel sides proves a quadrilateral to be a parallelogram
True
False
six subtracted from one-half a number is 12.
Answer:
Number is 36
Step-by-step explanation:
Let the number be x
one half of the number is [tex]\frac{1}{2} x[/tex]
6 subtracted from one half is 12, That is,
[tex]\frac{1}{2} x - 6 = 12\\\\\frac{1}{2}x = 12 +6 \\\\x = 18 \times 2 = 36[/tex]
The expression 1/2 bh gives the area of a triangle where
bis the base of the triangle and
H is the height of the triangle.
Answer:
yes that's correct
Step-by-step explanation:
let's say a question was given with the base of a triangle as 5cm and the height triangle as 8cm.
you will go by
solution
area = 1/2 * b * h
area = 1/2 (5 * 8)
area = 1/2 (40)
area = 20cm²
hope this helps
HELP !!!!
A circular pizza has been cut into five equal size pieces … how many degrees is the angle from one piece?
Answer:
72°
Step-by-step explanation:
360/5 = 72
Quantitative - Column chart
Quantitative - Line chart
Qualitative - Histogram
Qualitative - Pie chart
Answer:
A. Qualitative - Column chart
Step-by-step explanation:
Data could either be qualitative or quantitative. Quantitative data are usually given in a definite number, i.e it can be counted. While qualitative deals with characteristics, i.e it can be collected either by the use of questionnaires, or any similar method.
Therefore for the given question, the data survey is qualitative. And since the result would be presented as a graph showing the percentage users for each application, a column chart would be appropriate.
Thus for the data and its presentation, the answer is A. Quantitative - Column chart
What's 60 in the ratio 1 : 4
Answer:
15/240 = 5/80= 1:16. helpful answer
Answer:
1+4=60
5=60
60/5
12#
Step-by-step explanation:
or,let it be X
1x+4x=60
5x=60
X=60/5
there fore
X=12#
Solve 2x2 + 8 = 0 by graphing the related function.
There are no real number solutions.
There are two solutions: V8.
There is one solution: 2
There are two solutions: 2 and -2.
Answer:
there are no real number solutions
Step-by-step explanation:
2x² + 8 = 0
x² + 4 = 0
x² = -4
these solutions all involve "i", the imaginary or complex numbers, as normally the square of any number has to be positive (and cannot be negative).
There are four pairs of different types of shoes in a bag: a pair of boots a pair of sandals a pair of sneakers a pair of flip-flops If you pick shoes from that bag (in the darkness), what is the minimum number of shoes you should pick to be certain that you will have a pair of matching shoes
Answer:
5
Step-by-step explanation: