Answer:
252 menu
Step-by-step explanation:
Total number courses, n = 10
The largest number of menu the chef can plan using his 10 main courses.
There are various combinations of menu obtainable from the available courses :
Ranging from :
nC0 to nCn
The largest number of menu he can plan is the highest output obtainable between :
10C0 to 10C10
10C0 = 1
10C1 = 10
10C2 = 45
10C3 = 120
10C4 = 210
10C5 = 252
10C6 = 210
10C7 = 120
10C8 = 45
10C9 = 10
10C10 = 1
Hence, the largest number of menu he can plan using his 10 main courses is 252
Bacteria in a test tube increase at the rate of 0.9% per hour.
At 12 noon there are 4500 bacteria.
At 3 pm, how many bacteria will be present?
Give your answer to 3 significant figures.
Answer:
. (a) A scientist is doing an experiment on bacteria. She finds that the number ofbacteria in a test tube increase at a rate of 0.9% per hour.At 12 noon there are 4500 bacteria.At 3 pm, how many bacteria will be present? Give your answer to 3 significantfigures.
12pm 4500 bacteria1pm 4500 x 1.009 bacteria 2pm 4500 x 1.009 x 1.009 bacteria3pm 4500 x 1.009 x 1.009 x 1.009 bacteriaTherefore at 3pm there are 4620 bacteria present.
Answer: 4620 (3)(b) In another experiment with the same bacteria, the scientist counts 3000 bacteria.How many bacteria were there two hours prior to this measurement?Give your answer to 3 significant figures.
Now 3000 bacteria1 hour ago 3000 ÷ 1.009 bacteria 2 hours ago 3000 ÷ 1.009 ÷ 1.009 bacteriaTherefore 2 hours ago there were 2950 bacteria present
Answer: 2950
Step-by-step explanation:
What is the total length of all meteors that are 1 6/8 inches?
A line plot with the title, length of meteors. The data is a measurement in inches. The line plot goes from two eighths to one and seven eighths, with fourteen tick marks in all. The first tick mark is two eighths and has one data point. The second tick mark is three eighths and has three data points. The third tick mark is four eighths and has two data points. The fourth tick mark is five eighths and has no data points. The fifth tick mark is six eighths and has two data points. The sixth tick mark is seven eighths and has no data points. The seventh tick mark is one and has no data points. The eighth tick mark is one and one eighth and has no data points. The ninth tick mark is one and two eighths and has one data point. The tenth tick mark is one and three-eighths and has two data points. The eleventh tick mark is one and four eighths and has no data points. The twelfth tick mark is one and five-eighths and has no data points. The thirteenth tick mark is one and six eighths and has two data points. The fourteenth tick mark is one and seven eighths and has one data point.
three and four-eighths inches
three and five-eighths inches
four and seven-eighths inches
three and seven-eighths inches
Answer:
three and four-eighths inches
Step-by-step explanation:
Given :
Tick 1 = 2/8 (1 data point)
Tick 2 = 3/8 (3 data points)
Tick 3 = 4/8 (2 data points)
Tick 4 = 5/8 (no points)
Tick 5 = 6/8 (2 data points)
Tick 6 = 7/8 (no data points)
Tick 2 = 3/8 (3 data points)
....
Tick 13 = 1 6/8 (2 data points)
Hence, total length of all meteors that are 1 6/8 inches :
Length of meteor = 1 6/8
Number of meteors = 2
(2 * 1 6/8) = 2 * 14/8 = 28/8 = 3 4/8 = 3 1/2
Answer:
three and four-eights inches
Step-by-step explanation:
Find the measurement of angle X
A) 91°
C) 1360
B) 1050
D) 100°
Answer:
I think its B or C
Step-by-step explanation:
Please help I’m struggling
Answer:
y=3x+19
Step-by-step explanation:
x=3
(-4,7)(x,y)
y-7/x_-4=3
y-7=3(x+4)
y=3x+12+7
y=3x+19
Step-by-step explanation:
here you have the answer
Old Navy charges $30 for 4 t-shirts and $45 two pairs of pants. If Unique’s mom orders 9 t-shirts and 6 pairs of pants, how much will Unique’s mom spend?
Write the following rate as a simplified fraction 76 dogs to 48 cat
Answer:
Do u mean like 19/12
Step-by-step explanation:
Like 76/48 it will be 19/12
Hope I helped u!!
19/12 is the fraction which is represented by rate of 76 dogs to 48 cat.
To write the given rate, "76 dogs to 48 cats," as a simplified fraction, you need to express the number of dogs as the numerator and the number of cats as the denominator.
Therefore, the simplified fraction is:
76/48
To simplify this fraction, you can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 4:
(76 ÷ 4) / (48 ÷ 4)
= 19/12
Hence, 19/12 is the fraction which is represented by rate of 76 dogs to 48 cat.
To learn more on Fractions click:
https://brainly.com/question/10354322
#SPJ6
help with math please:)))))
Answer:
63 un²
Step-by-step explanation
Formula for Triangle = 1/2(b*h)
------------------------------------------------------------
Lets input our numbers
b(base) = 21
h(height) = 6
------------------------------------------------------------
Lets multiply
1/2(6 x 21) =
1/2(126) = 63
Now add the units
63 un²
Which line has the same slope as the line passing through (-4, -1) and (-1, -7) ?
Answer:
D
Step-by-step explanation:
Answer:
athe correct answer of this question is 6x + 3y = 5
PLEASE HELP! WILL MARK BRAINLIEST!!
How did advancements in the steam engine affect industrialization? (5 points)
By eliminating the need for transportation of goods by ship
By decreasing the production time for textiles
By eliminating the need for a water source to power mills
By polluting crowded urban areas
Answer:
By decreasing the production time for textiles
Step-by-step explanation:
Sam buys
2 boxes of eggs costing £1.30 each
1 bottle of juice costing £2.60
3 baguettes
He pays with a £10 note and gets a 90p change.
Sam works out the cost of one baguette as £1.70
Is he correct?
You must show your working out.
Answer:
He is wrong
Step-by-step explanation:
£1.30(cost of 1 egg box) x 2=£2.60
2.60(2 egg boxes)+2.60(price of juice)=£5.20(amount spent without baguettes)
10-5.20(amount spent without baguettes)=£4.80
4.80/3=£1.60
£1.60=cost of one baguette
Sam is wrong as the cost of one baguette is £1.60
Will mark brainliest to whoever helps!
What the geometric mean of 4 and 8
x – 1/4=1/2 what is x?
Answer:
x= 3/4
Step-by-step explanation:
x-1/4=1/2
+1/4 +1/4
x=3/4
A lab currently has 70 mg of radioactive material that decays at 3.5% per year. Federal regulation for the substance says that the material must be safely stored until it reaches its half-life, at which time the material can be disposed.
How many years will the lab have to safely
store the material before disposal?
Answer:
The lab will have to wait 19.45 yers to safely store the material before disposal.
Step-by-step explanation:
Exponential equation for substance decay:
A exponential equation for the amount of a substance after t years is given by:
[tex]A(t) = A(0)(1-r)^{t}[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
Decays at 3.5% per year.
This means that [tex]r = 0.035[/tex]
So
[tex]A(t) = A(0)(1-r)^{t}[/tex]
[tex]A(t) = A(0)(0.965)^{t}[/tex]
How many years will the lab have to safely store the material before disposal?
It needs to reach half-life, that is, t for which A(t) = 0.5A(0). So
[tex]A(t) = A(0)(0.965)^{t}[/tex]
[tex]0.5A(0) = A(0)(0.965)^{t}[/tex]
[tex](0.965)^t = 0.5[/tex]
[tex]\log{(0.965)^t} = \log{0.5}[/tex]
[tex]t\log{0.965} = \log{0.5}[/tex]
[tex]t = \frac{\log{0.5}}{\log{0.965}}[/tex]
[tex]t = 19.45[/tex]
The lab will have to wait 19.45 yers to safely store the material before disposal.
A section of a deck is shaped like a trapezoid. For this section, the length of one base is 31 feet, and the length of the other base is 24 feet. The height is 14 feet. What is the area of this section of the deck?
Area of a trapezoid= (big base+small base)/2 x height
A=(67+54)/2 x 18
A=60.5 x 18
A=1089
which is the best estimate of 2/5 + 1/7?
Answer:
2 / 35
Step-by-step explanation:
HELP ASAP!!! WILL MARK BRAINLIEST IF RIGHT!
Mr. Mole left his burrow that lies 7 meters below the ground and started digging his way deeper into the ground, descending at a constant rate. After 6 minutes, he was 161616 meters below the ground.
Let y represent Mr. Mole's altitude (in meters) relative to the ground after x minutes.
Complete the equation for the relationship between the altitude and number of minutes.
y=
Answer:
try dividing 161616 with 7 but I don't know what to do with the 6 sorry
Answer:
y=−1.5x−7
Step-by-step explanation:
mr. mole is descending as a constant rate, which means a linear equation. So, we must put it into slope-intercept form: y=mx + b, with m being slope or constant rate, and b being y-intercept
what is 3x+7x-9x+4x+10+12x if x=2
Answer: 44
Step-by-step explanation:
Answer:
3(2)+7(2)-9(2)+4(2)+10+12(2)
6+14-18+6+10+24
60-18
42
what is the value of X in log 2 (x)-3=1
y
∝
1
√
x
If
y
=
7
when
x
=
64
find,
x
when
y
=
8
Answer:
x = 49
Step-by-step explanation:
This is an inverse relationship and it implies that, an increase in the value of one variable results in a subsequent decrease in the value of another variable.
Given the mathematical expression and data;
y = 1/√x
y = 7 and x = 64
First of all, we would find the constant of proportionality, k;
y = k/√x
7 = k/√64
7 = k/8
k = 7 * 8
Constant, k = 56
Now, to find the value of x when y = 8
y = k/√x
Substituting the values, we have;
8 = 56/√x
Cross-multiplying, we have;
8 * √x = 56
√x = 56/8
√x = 7
Taking the square of both sides, we have;
(√x)² = 7²
x = 49
PLEASE HELP ME........
Answer:
d
Step-by-step explanation:
Hey, I have some algebra questions, I need to complete for tomorrow. One of them is: Simplify 4a + 12a.
Answer:
16a
Step-by-step explanation:
4a+12a=16a since they are the same variables.
This is Adeles solution for the equation x^2+8x- 9 = 0 Step 1 x^2 +8x = 9 Step 2 x^2 +8x + 16 = 9 + 16 Step 3 ( x + 4 ) ^2 = 25 Step 4 x + 4 = 25 or x + 4 = - 25 Step 5 x = 21 or x = - 29. Where did Adele make her mistake? What are the solutions to this equation? Show all of your work. 2. Which would be the best method to use to solve the following equation. Explain your reasoning. A x^2 - 49 = 0 B. x^2 - 3x - 4 = 0 C. x^2 - 2x - 6 = 0
Answer:
Adeles forgot to square root 25 in step 4 therefore the solutions would be 1 and -9
Step-by-step explanation:
Equation : x² + 8x - 9 = 0
Step 1 : x² + 8x = 9
Step 2 : x² + 8x + 16 = 9 + 16
Step 3 : ( x + 4 )² = 25
Step 4 : x + 4 = 25 or x + 4 = - 25
Step 5 : x = 21 or x = - 29.
What is the length of the dotted line in the diagram below? Round to the nearest
tenth.
x3+43-12x2+x30 (x-6) (x+2)
solve it.
Given: m∠AKB = 25°
KO = 25
Find: V, Surface Area of of a cone
Please leave answers in term of Pi
Answer:
V = 255.98189 pi
SA = 172.64114π
Step-by-step explanation:
The first thing to do is find the radius.
the measure of angle AKO = 1/2 the measure of angle AKB
m< AKO = 12.5 degrees
Now use trig to find AO (aka the radius)
tan(12.5) = AO/25
AO = 25* tan(12.5)
I'm leaving it like this to get a more accurate number
Now to find the volume
the volume of a cone is pir^2h/3
plugging everything in we get:
pi(25*tan(12.5))^2 * 25/3
which is about 255.98189 pi
Now for surface area
(this is the moment I realize symbols exist)
SA = πr(r+√h²+r²)
plugging everything in we have
π(25tan(12.5))((25tan(12.5)+√625+(25tan(12.5))^2)
I know it looks like a lot but that's mainly because I left the radius as 25tan(12.5)
The Surface Area is about 172.64114π
Find the AC
47in
14in
26in
7in
Answer: need more of an explanation
Step-by-step explanation:
Answer:
26 in.
Step-by-step explanation:
Since angles A and C are congruent, sides BC and BA are congruent.
7x - 13 = x + 29
6x = 42
x = 7
AC = 3x + 5
AC = 3(7) + 5
AC = 21 + 5
AC = 26
Answer: 26 in.
2
Which equation best describes the graph? Please don’t just put anything down for points
8
6
2
-2
2
6
8
-2
1
6
-
A y = 3x + 2
C y = -3x + 2
B
D
ly= 3x + 2
y =
= -x + Ź
Answer:
C
Step-by-step explanation:
{[(9 − 2) × 3] + 3} − 5 =
Answer:
look at the picture i sent..........
A bug ran along the number line from -5 to 23. What distance did it cover? If the whole run took the bug 4 minutes, what was its average speed?
Answer:
28 units and 7 units per minute.
Step-by-step explanation:
So if it's a negative number like -5 with a positive number, you have to add.
It would be like ( 5 + 23 ) = 28.
Since it took the bug 4 minutes, divide 28 ÷ 4.
28 ÷ 4 is 7 units per minute.
Sorry if it's wrong...