Using the Fundamental Counting Theorem, it is found that there are 90 ways to choose the three side dishes.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem:
For the vegetable, there are 5 options, hence [tex]n_1 = 5[/tex].For the starch, there are 3 options, hence [tex]n_2 = 3[/tex].The remaining dish is free, which means that there are 5 + 3 - 2 = 6 options, hence [tex]n_3 = 6[/tex].Then:
N = 5 x 3 x 6 = 90.
There are 90 ways to choose the three side dishes.
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2. Barry has a cell phone plan that charges him a monthly fee for unlimited minutes for talking, but charges a small
fee for each text message he sends. The graph shows the monthly cost for the phone based on how many text
messages he sends.
42.5
40
37.5
Cost per Month ($)
35
32.5
30
SI
ASE
27.5
40
50
60
70
80
90
100
za babu asd ng boto to
0 10 20 30
Text Messages Sent
What does the y-intercept of this graph represent?
02.0
A. The cost for the cell phone plan with 100 text messages sent.
B. The monthly fee for the cell phone plan.
C. The cost for each text message.
D. The total cost each month.
That is the value for the v-intercent2
The y-intercept of this graph considering the cell phone plan of Barry represent D. The total cost each month.
What is the y-intercept?It should be noted that a y-intercept simply means where the line intersects the y axis.
The y-intercept of this graph considering the cell phone plan of Barry represent the total cost each month. This can be illustrated by y = mx + b.
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The base of a regular pyramid is a hexagon
12 cm 30°
a
What is the area of the base of the pyramid?
Answer:
Below in bold.
Step-by-step explanation:
The hexagon is made up of 6 equilateral triangles.
So the Base = 12 cm.
Height a = 12 cos 30 = 10.392 cm
So area of 1 triangle = 1/2 * 12 * 10.392 cm^2
- and total area = 6 * 1/2 * 12 * 10.392
= 36 * 10.392
= 374.11 cm^2 to the nearest hundredth.
Bob, an employee at Kohl’s, gets a 30% discount on anything at the store. If he buys a pair of pants that are originally $45.87, how much will they cost with his discount?
What is the volume of the sphere? Use 3.14 for and round to the nearest whole number.
5 cm
0
About
cm3
cutei mo boy Chad bleehhh
Two game board spinners are shown below, one number 1, 2, 3, and one numbered 5, 6, 7, and 8. A contestant gets to spin both needles just once to win money. The first spinner points to the tens digit and the second points to the digit of their prize. For example, if they spin a 3 and a 6 they win $36.
A tree diagram is a tool used in general mathematics, probability, and statistics. The tree diagram can be drawn as shown below.
What is a tree diagram?A tree diagram is a tool used in general mathematics, probability, and statistics to compute the number of alternative outcomes of an event or issue and to arrange those potential outcomes.
Since the first spinner has 3 outcomes, the second spinner has 4 outcomes. Therefore, the total number of outcomes will be 12.
Hence, the tree diagram can be drawn as shown below.
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Write an equation of a line that passes through the point (4.2) and is perpendicular to the line y=1/5x -3.
Answer:
y=-5x+22
Step-by-step explanation:
Calculate the perimeter of the shape below
Answer: The answer is C ≈ 18.85 meters.
Step-by-step explanation: The formula that you need is...
2 × π (pi or approximately 3.14) × r (which is the radius)
In this case, your radius is 3, so you solve by 2 × π (pi or approximately 3.14) × 3 which equals 18.8495559215 but you round to your nearest hundredth which gets you to have 18.85 meters as your answer! I hope this helps!
radius= 3 m
to find:the perimeter of the circle.
solution:[tex]perimeter = 2\pi \: r[/tex]
[tex]p = 2 \times \pi \times 3[/tex]
[tex]p = 18.84956[/tex]
[tex]p = 18.95[/tex]
pLs hElP gIvInG DUE TODAY 23 points
Answer:
Answer down below!
Step-by-step explanation:
1) 10
2) 4
3) 6
----------------
1 ) we know that perimeter = all the sides combined.
12+12+10+10=44(44 is the given perim.; so therefore if 12x2+10x2=44, 20 is the missing width.2 ) we know that area = lw.
10x4= 4044 is the given area, so therefore if 10x4=40, 4 is the base.3 ) we know that area = lw.
we need to find the area of the square. 3 x 2 = 6. 6 is the area of the missing square or the part that needs to be covered.
14. Find the volume of the sphere. Use 3.14 for pi and round to the nearest tenth if necessary.
6 mi
O 956.2 mi
O 886,1 mi
0
669 mi
O 904.3 mi
Answer:
Volume of the sphere is 904.3 mi³Step-by-step explanation:
Given that radius of the sphere is 6 miles. To find Volume of the sphere we will substitute the Value of radius in the given formula:
[tex] \\ \: \: \dashrightarrow { \underline{ \boxed { \pink{ \pmb{ \mathfrak {Volume_{(Sphere)} = \dfrac{4}{3} \pi r ^3 }}}}}} \\ \\ [/tex]
Substituting the required values:
[tex] \\ \: \: \dashrightarrow \sf \: \: Volume = \dfrac{4}{3} \times 3.14 \times {(6)}^{3} \\ \\ [/tex]
[tex] \: \: \dashrightarrow \sf \: \: Volume = \dfrac{4}{3} \times 3.14 \times 216 \\ \\ [/tex]
[tex] \: \: \dashrightarrow \sf \: \: Volume = \dfrac{4}{3} \times 678.24 \\ \\ [/tex]
[tex] \: \: \dashrightarrow \sf \: \: Volume = \dfrac{2712.96}{3} \\ \\ [/tex]
[tex] \: \: \dashrightarrow \sf \: \: { \underline{ \boxed{ \pink{ \pmb{ \mathfrak{Volume \approx 904.3 \: {mi}^{3} }}}}}} \\ \\ [/tex]
Hence,
Volume of the sphere is 904.3 mi³Step-by-step explanation:
Given :-
radius of sphere = 6miTo find =
Volume of sphereSolution =
Volume of sphere = 4/3 πr³
putting the known values ,
Volume = 4/3 × 3.14 × 6³ mi³
Volume = 904.32 mi³
rounding off to nearest tenth ,
Volume = 904.3 mi³
Find the surface area of the cylinder. Use 3.14 for π. Round your answer to the nearest tenth.
Answer:
581.1
Step-by-step explanation:
581.1
One side of an enlargement of the rhombus is shown by the dotted line.
A)Complete the enlarged rhombus.
B) What is the scale factor of the enlargement?
HELP
Answer:
A) see attached
B) 2
Step-by-step explanation:
A)See the attachment for a completed enlargement of the given rhombus.
__
B)The enlarged side shown in the problem statement is twice as long as the nearest parallel side of the rhombus. The scale factor is the ratio of the enlarged side length to the original side length: 2 : 1. The scale factor is 2.
_____
Additional comment
There are several ways you can determine the scale factor. The endpoints of the image side are twice as far from the center of the rhombus as the original rhombus vertices. (The original extends 1 unit left, for example, while the enlargement is 2 units left.)
The length of a side of the original (blue) rhombus is the diagonal of a 1×2 rectangle on the grid. The drawn side of the image is two such lengths.
pls lmk the answer please
Answer:
Step-by-step explanation:
The only way I can solve this is by assuming the letter on the far left is a B. If that is the case, <BAC and <EAC are supplementary.
Ignore the line going from C to D and look at the angle that is left. <EAC is out in the open. What happens is that <EAC and <BAC share the same starting poing which is A.
Each of the angles divide the diameter in two. The construction makes a total angle of 180 degrees which makes them supplementray.
<BAC + <EAC = 180o
<EAC = 31 degrees Given. Substitute that value into the equation above.
<BAC + 31 = 180 Subtract 31 from both sides.
<BAC +31-31 = 180 - 31 Combine
<BAC = 149
How many terms are in the expression below:
3x - 6 + 4b + 5 + 7 - 2x
Step-by-step explanation:
Given: 3x - 6 + 4b+ 5 + 7 -2x
x - 6 + 4b + 12
x +6 + 4b
HELP! WILL GIVE BRAINLEST!
Answer:
65.17°
Step-by-step explanation:
→ Inverse cosine -0.42
65.17°
→ As the domain is between 0 and 360, any negative values can be ignored
Which of the following represents the sum of the series below? 4 7 10 13 16 19 22 25 28 31 34 37 40
The sum of the given series 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37, 40 will be 286.
What is a series?A series is a sum of sequence terms. That is, it is a list of numbers with adding operations between them.
The series is given below.
4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37, 40
Then the sum of the series will be
[tex]\rm S = \dfrac{n}{2}(a + L)[/tex]
where n is the total number of the terms, a is the first term, and L is the last term. Then we have
a = 4
L = 40
n = 13
Then
[tex]\rm S = \dfrac{13}{2}(4 + 40)\\\\S = \dfrac{13}{2} \times 44\\\\S = 13 \times 22\\\\S = 286[/tex]
More about the series link is given below.
Series - https://brainly.com/question/10813422
5.
Find m∠G, rounded to the nearest degree.
58°
32°
28°
62°
If r= 3 cm, p = 2.4 cm, q = 1.8 cm, and m= 4.35 cm, what is the measure of n?
Answer:
C
Step-by-step explanation:
given the triangles are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{LM}{PR}[/tex] = [tex]\frac{LN}{PQ}[/tex] ( substitute values )
[tex]\frac{n}{1.8}[/tex] = [tex]\frac{4.35}{3}[/tex] ( cross- m ultiply )
3n = 7.83 ( divide both sides by 3 )
n = 2.61 cm
PLEASE help.
I feel like the logical answers I have picked are constantly being said to be wrong.
if anyone knows the official answers please let me know.
This is on FoolProof, "Renting a Pad"; aka Module 9.
PLEASE I NEED HELP!!!
Answer:
1/27
Step-by-step explanation:
Okay first, calm down. Math is always hard when your stressed.
First step is to elimate b and write the equation in terms of a. So rearrange a-b=3 to b=a-3. Substitue that into the equation. Now you have :
27^1/3(a-3)
---------------
9^1/2(a)
Now rewrite the equation in terms of 3, you do this by realizing that 9 is simply 3^2 and 27 is simply 3^3. This gives you
3^(a-3)
---------
3^a
Now you use the laws of powers, and you get 3^-3, which is essentially 1/27.
write an equation for the cubic polynomial function whose graphs has zeros at 2, 3, and 5
Step-by-step explanation:
this is essentially
(x-2)(x-3)(x-5) = 0
now to find the cubic function we just expand.
the answer:
x^3 - 10x^2 +31x - 30
1. Find the slope
(1 point)
2
-1/2
-2
1/2
Answer:
-2
Step-by-step explanation:
you look at the y axis and that is where you start it goes 2 down and 1 to the right
Answer:
C. -2
Step-by-step explanation:
Using the two points on the graph, apply the slope formula.
(y₂ - y₁)/(x₂ - x₁)
The points given are (-3, 3) and (1, -5).
(-5 - 3)/(1 - (-3))
Simplify.
-8/4
Divide.
-2.
If triangle RST and triangle XYZ are similar, which of these equations must be true?
Answer: A
Step-by-step explanation:
If they are similar, that means the proportions for corresponding sides will be the same.
I personally ignore the picture and use the labels of "triangle RST and triangle XYZ" that the problem gives because the XYZ picture is not lined up with the similarity it has with RST.
(A) says that side ST is corresponding with side YZ,
[] Triangle RST and triangle XYZ
-> Correct
(A) also says that side RT is corresponding with size XZ,
[] Triangle RST and triangle XYZ
-> Correct
This means that option A is the correct answer.
graph: y = 3 sin (1/3 * x) - 2
Please the explanation of this question on how to graph a sinusoidal function for further information about the graph of the resulting expression.
How to graph a sinusoidal function
Sinusoidal functions have a period of 2π and represent a kind of symmetical bounded functions. In this case, the given expression have a period of 6π and is bounded between -5 and 1.
The procedure to graph the given expression is summarized below:
Construct an horizontal axis from 0 to 6π.Construct a vertical axis that goes through the horizontal axis and is bounded between -5 and 1.Evaluate the function for x-values with equal intervals.Add the resulting points to the graph and match all the points in-between by following the +x semiaxis.Lastly, we present the outcome derived from the given procedure in the image attached below.
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Find the slope for (9,4) and (0,5)
Answer:
Slope (m) =ΔY=1=1θ =arctan( ΔY)ΔX=45° =14π
ΔX = 9 – 5 = 4
ΔY = 4 – 0 = 4
Distance (d) = √ΔX2 + ΔY2 = √32 = 5.6568542494924
y = x – 5
When x=0, y = -5
When y=0, x = 5
Step-by-step explanation:
hope this helps If not please let me now
three friends Luke nick and serena are kicking a soccer ball to each other on the beach Luke kicks the ball to Serena who kicks the ball to nick, who kicks the ball back to Luke. the friends location on the beach are drawn on a coordinate plane as shown where the x values and y represent distance in feet.
WHAT IS THE APPROXIMATE DISTANCE THE BALL TRAVELS AFTER MAKING A FULL ROTATION AROUND THE TRIANGLE OF FRIENDS?
A. 288 feet
B.57.94 feet
C. 144 feet
D. 67.91 feet
The approximate distance the ball travels after making a full rotation around the triangle of friends is: B. 57. 94 feet.
Total distanceLuke ( 4,10)
Nick (-8, -2)
Serena (4, -14)
Hence:
Distance between two points=√(x2-x1)²+ (y2-y1)²
Distance between Luke and Nick=√ (-8, -4)²+ ( -2-10)²
Distance between Luke and Nick=√288
Distance between Luke and Nick=16.97 feet
Distance between Luke and Serena=10-(-14)
Distance between Luke and Serena=24
Distance between Nick and Serena=√ (-8, -4)²+ ( -2+14)²
Distance between Nick and Serena=√ 288
Distance between Nick and Serena=√16.97 feet
Total distance=16.97 feet+16.97 feet+ 24
Total distance=57.94 feet
Therefore the correct option is B.
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Answer:
57.94 feet
Step-by-step explanation:
I got it correct
Please help I need it urgent I will give brainlest and heart plus an Amazon gift 25$
sides
13 X 42 = 546 square foot there are four of these
546 X 4 = 2184 square foot.
triangles
A= 0.5 X b X h
0.5 X 13 X 12 = 78 square foot again there are four of these 78 X 4 = 312 square foot
2184 + 312 = 2496 square foot
2496/277 = 9.010
9 gallons of paint will need to be purchased.
Answer:
9 gallons
Step-by-step explanation:
What is 1 + 1
Please answer for brainliest.
Answer:
1 + 1 = 2
Step-by-step explanation:
News cameras take an overhead picture of a part of a crowd at an outdoor event. journalists then count the number of people in the picture and use the sample to estimate the total number of people in the crowd. this process is an example of random sampling. stratified sampling. systematic random sampling. cluster sampling.
The given process is an example of a cluster system.
What is the cluster system?The clustered systems are a combination of hardware clusters and software clusters.
The hardware clusters help in sharing of high-performance disks between the systems.
The software clusters makes all the systems work together.
Each node in the clustered systems contains the cluster software.
A cluster refers to a group of inter-connected computers where it works together to support applications and middleware (e.g. databases).
In a cluster, each & every computer is known to be a “node”.
To know more about the cluster system click the link given below.
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Answer: D. cluster sampling
Step-by-step explanation:
The median rainfall during a spring storm in the lowlands is about 4 mm less than a spring storm in the highlands. The mean rainfall for the lowlands is about 3 mm less than for the highlands. Why is there a difference in the central measures for each data set?
Answer:
There is a difference because in the spring, there may be more days of rain, therefore that would increase the mean for the spring compared to the other days.
Step-by-step explanation:
Answer:
There is a difference since there could be more rainy days in the spring than on other days. As a result, the mean for the spring would be higher than on other days.
Step-by-step explanation:
Hope this helps!
Have a great day!
While staying in buenos aires, argentina, you decide to take a trip to three other cities: tucuman, bahia blanca, and salta. the following table shows the costs associated with traveling to or from each of these four cities. all costs listed are given in argentine pesos ($). origin and destination cost ($) buenos aires to tucuman 211 buenos aires to bahia blanca 268 buenos aires to salta 238 tucuman to buenos aires 272 tucuman to bahia blanca 195 tucuman to salta 203 bahia blanca to buenos aires 200 bahia blanca to tucuman 229 bahia blanca to salta 211 salta to buenos aires 193 salta to tucuman 267 salta to bahia blanca 275 using the information in the table, determine the least expensive way to visit all of these cities, starting and ending in buenos aires. a. buenos aires right arrow. salta right arrow. bahia blanca right arrow. tucuman right arrow. buenos aires b. buenos aires right arrow. tucuman right arrow. salta right arrow. bahia blanca right arrow. buenos aires c. buenos aires right arrow. tucuman right arrow. bahia blanca right arrow. salta right arrow. buenos aires d. buenos aires right arrow. bahia blanca right arrow. tucuman right arrow. salta right arrow. buenos aires
Answer: C. Buenos Aries-Tucuman-Bahia Blanca-Salta-Buenos Aries
Step-by-step explanation:
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