Step-by-step explanation:
To get from point (4,4) to (10,10), it is the same as ordering 6 Upward and 6 Right arrows in a straight line.
=> 12C6 = 924.
However there is a restriction that we cannot have 3 Upward and 3 Right arrows as our first 6 arrows.
=> 6C3 * 6C3 = 20 * 20 = 400
Hence there are 924 - 400 = 524 different ways.
I think of two consecutive odd numbers, five times the smaller plus three times the larger is 62. Find the numbers.
Answer:
7 and 9
Step-by-step explanation:
Variables:
x = smaller number
y = larger number
We can set up two equations with the information given:
5x + 3y = 62
and
y = x + 2
We get the second equation with the information that the two numbers are consecutive and both odd. therefore the smaller number is two less than the larger number, and the larger number is two greater than the smaller number.
Next, we need to replace our y in the first equation with the y in the second:
5x + 3y = 62
5x + 3 (x+2) = 62
5x + 3x + 6 = 62
8x = 56
x (smaller number) = 7
Finally, we solve for the larger number by placing it back into the second equation:
y = x + 2
y = 7 + 2
y (larger number) = 9
I hope this helps!
-TheBusinessMan
A convex polygon has 6 sides what is the sum of its interior angles 1980°.
Step-by-step explanation:
Sum of interior angles in a polygon
= 180°(n - 2), where n is the number of sides.
Hence a convex polygon with 6 sides
=> 180°(6 - 2) = 720°.
find the volume of the cone when it's diameter is 8.4 feet and height is 6feet.
Answer:
110.835389 ft3
Step-by-step explanation:
Will mark brainliest!!!Solve for each variable
Answer:
n=5, m = 4
Step-by-step explanation:
It is a parallelogram so m+8 = 3m and 2n-1 = 9
A deck of cards contains RED cards numbered 1,2,3,4,5,6 and BLUE cards numbered 1,2,3. Let R be the event of drawing a red card, B the event of drawing a blue card, E the event of drawing an even numbered card, and O the event of drawing an odd card. Drawing the Blue 2 is one of the outcomes in which of the following events?
a. R OR O
b. B AND O
c. R OR E
d. R AND O
e. R′
f. E
Answer: c. R OR E
e. R′
f. E
Step-by-step explanation:
Outcomes for Red card ={1,2,3,4,5,6} = 6
Outcomes of Blue card = {1,2,3} =3
R = event of drawing a red card, B = event of drawing a blue card, E=event of drawing an even numbered card, and O = event of drawing an odd card.
Then, R= {1R,2R,3R,4R,5R,6R} , B= {1B,2B,3B}
E={2R, 4R, 6R , 2B}
O = {1R, 3R, 5R, 3B}
R or O = { 1R,2R,3R,4R,5R,6R ,3B} [all elements of R and O]
B and O = {3B} [all elements common in B and O]
R or E = {1R,2R,3R,4R,5R,6R,2B }
R and O = {1R, 3R, 5R} [all elements common in R and O]
R' = B= {1B,2B,3B} [all elements except R]
Blue 2 = 2B belongs to B, R or E, R' and E.
Correct options are c. e. f.
Answer:
Blue 3
E'
B AND O
Step-by-step explanation:
find the product of (−x−3)(2x2+5x+8)
of 30 students, 1/3 play sports. Of those who play sports, 2/5 play soccer.
How many students play soccer?
A. 4
B.12
C.5
D.10
PLEASE HELP
What is m<1 and m<3 someone help me please
Answer:
m < 1 = 52
m < 3 = 52
Step-by-step explanation:
m < 8 = 128 therefore m < 4 = 128
1.) we know that m < 4 + m < 1 must equal 180
128 + m < 1 = 180
180 - 128 = m < 1
52 = m < 1
due to the position of m < 1 and m < 3, they are the exact same
help ASAP
10 POINTS
find surface area and volume
Please solve the question below 4
Answer:
The answer is C
Step-by-step explanation:
The graph has a normal distribution, mean at 3.6, and a standard deviation of 0.6
Answer:
the Correct Answer Is c
Step-by-step explanation:
PLZ PLZ PLZ MARK AS BRAINLIEST LOL PLZ
opposite of puring 8 gallons of water into a fish tank
Answer:
pure out 8 gallons
Step-by-step explanation:
Im big brain.
Step-by-step explanation:
removing 8 gallons of water from a fish tank
Please help I will like and brainy
Answer:
Ok ill help u ! What do u need help on?
A building 11 stories has a glass enclosed elevator that goes up and down the outer wall of the building. From the 1st floor below the topmost floor you take the elevator and go down 5 floors. How many floors are you above the bottom floor?
Each number line is shaded to represent a percent drag a percent to each number line that represents a percent.
Answer: For 25% put the smallest one and for 60% put the one with blue shaded over six lines not included 0 line the small lines bye
Step-by-step explanation:
no no no no no
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 429.0429.0 gram setting. It is believed that the machine is underfilling the bags. A 4040 bag sample had a mean of 425.0425.0 grams. A level of significance of 0.020.02 will be used. Determine the decision rule. Assume the standard deviation is known to be 11.011.0.
Answer:
A 4040 bag sample 25.0425.0 grams. A level of significance of 0.020.02
the decision rule. Assume the standard deviation is known to be 11.011.0.
Step-by-step explanation:
solve the questions bellow
Answer:
1. 29.67°
2. 68.96°
3. 89.85°
Step-by-step explanation:
1. Reference angle = x
Opposite = 45 cm
Adjacent = 79 cm
Therefore:
[tex] tan(x) = \frac{45}{79} [/tex]
[tex] tan(x) = 0.569620253 [/tex]
[tex] x = tan^{-1}(0.569620253) [/tex]
[tex] x = 29.67 [/tex] (nearest hundredth)
2. Reference angle = B
Opposite = 14
Hypotenuse = 15
Therefore:
[tex] sin(B) = \frac{14}{15} [/tex]
[tex] sin(B) = 0.93333 [/tex]
[tex] B = sin^{-1}(0.93333) [/tex]
[tex] B = 68.96 [/tex] (nearest hundredth)
3. Reference angle = x
Adjacent = 238,900 mi
Hypotenuse = 92,955,807 mi
Therefore:
[tex] cos(x) = \frac{238,900}{92,955,807} [/tex]
[tex] x = cos^{-1}(\frac{238,900}{92,955,807}) [/tex]
[tex] x = 89.85 [/tex] (nearest hundredth)
Annie walks 15 feet away from her house and places a mirror on the ground. She backs 4 feet away from the mirror so that she can see the tip of the roof. Annie's eyes are 5 feet above the ground. Annie and the house are both perpendicular to the ground. The angles between the top of the house, the mirror, and the ground and between Annie's eyes, the mirror, and the ground are congruent as shown in the image below:
Image depicts a mirror on the ground between a person and a house. The mirror is 4 feet away from the person and 15 feet away f
What is the height of the house? Show your work and explain your reasoning in complete sentences.
Answer:
The house is 18.75 feet tall
Step-by-step explanation:
The triangles are similar by the AA postulate.
We are given the length of the bottom sides of the triangles, 4 and 15 respectively.
Thus, the ratio is 4:15
We are also given the height of Annie's eyes, which is 5 feet. The height of the side that corresponds to the house is 5, so we can set up a proportion.
[tex]\frac{4}{15} = \frac{5}{x} \\4x = (5*15) = 75\\x = \frac{74}{4} \\x = 18.75[/tex]
Thus, the house is 18.75 feet tall.
Marge drove 220 miles at an average speed of 55 miles per hour. How many hours did it take her to drive that far? Oh
Answer:
4 hours
Step-by-step explanation:
220/ 55 = 4
What is Four more than twice a number is -10?
help me out please. what is 5 ÷ 9/10 ?
{[(9 + 5) ÷ 7] - 2} x [4 x (25 – 20)]
Answer:
The answer is 0.
Step-by-step explanation:
solve 9+5=14
14/7=2
2-2=0
solve the pther side
25-20=5
4*5=20
0*20=0
4x + 55 = 7x = 34
solve for x
Answer at the bottom
Step 1: Simplify both sides of the equation.
4x−7x=34−55
4x+−7x=34+−55
(4x+−7x)=(34+−55)(Combine Like Terms)
−3x=−21
−3x=−21
Step 2: Divide both sides by -3.
−3x
−3
=
−21
−3
x=7
Answer:
x=7
3. Two linear functions are shown below. Which function has the greater rate of change? Justify your response LOOK AT PIC! plz help
Answer:
Function B has the greater rate of change
Step-by-step explanation:
Function A has a slope of 1/3
Function B has a slope of 1/2
When comparing slopes, the higher value has the greater rate of change
1/2 > 1/3
All of the following would make a formal proof incomplete except what?
A) A lack of justifications
B) Incomplete sentences
C) Errors in logic
D) Incorrect reasons for statements
Urgent I need this for tonight please!!!
Answer:
b incorrect sentences
Step-by-step explanation:
got it right on my test
Lin runs 5 laps around a track in 8 minutes.
a. How many minutes does it take to run 1 lap?
b.
How many laps did Lin run in 1 minute?
Please hurry
Answer:
1.2 minutes, hope this helps (owo)/
Step-by-step explanation:
They got the 1.2 minutes by taking the total number of minutes (6) and dividing them by the number of laps run (5). So 6 divided by 5 gives you the 1.2.
Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints of each subinterval as your sample points.)
int 1 between 5 x/2+3^3*dx
Answer:
[tex]\mathbf{4 \lim \limits _{n \to \infty} \sum \limits ^n_{i=1} \Big ( \dfrac{n(n+4i)}{2n^3 +(n+4i)^3} \Big )}[/tex]
Step-by-step explanation:
Given integral:
[tex]\int ^5_1 \dfrac{x}{2+x^3} \ dx[/tex]
[tex]\mathbf{Using \ Riemann \ sums; \ we \ have: }[/tex]
[tex]\int ^b_a \ f(x) \ dx = \lim_{n \to \infty} \sum \limits ^n_{i =1} \ f( a + i \Delta x) \Delta x[/tex]
[tex]here; \ \Delta x = \dfrac{b-a}{n}[/tex]
∴
[tex]\int ^5_1 \dfrac{x}{2+x^3} \ dx = f(x) = \dfrac{x}{2+x^3}[/tex]
[tex]\implies \Delta x = \dfrac{5-1}{n} =\dfrac{4}{n}[/tex]
[tex]f(a + i \Delta x ) = f ( 1 + \dfrac{4i}{n})[/tex]
[tex]f( 1 + \dfrac{4i}{n}) = \dfrac{n^2 ( n+4i)}{2n^3 + (n + 4i)^3}[/tex]
[tex]\lim_{n \to \infty} \sum \limits ^n_{i=1} \ f(a + i \Delta x) \Delta x = \lim_{n \to \infty} \sum \limits ^n_{i=1} \Big ( \dfrac{n^2(n+4i)}{2n^3 +(n+4i)^3} \Big )\dfrac{4}{n}[/tex]
[tex]\mathbf{= 4 \lim \limits _{n \to \infty} \sum \limits ^n_{i=1} \Big ( \dfrac{n(n+4i)}{2n^3 +(n+4i)^3} \Big )}[/tex]
The inequality 3x+2>x+8 is equivalent to:
A. x>3
B. x 32
D. x<−32
Answer:
x>3
Step-by-step explanation:
3x+2>x+8
-2 -2
3x>x+6
-x -x
2x>6
/2 /2
x>3
The solution of the inequality 3x+2>x+8 will be x>3. The correct option is A.
When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that inequality is 3x+2>x+8. The inequality will be solved as below,
3x+2>x+8
3x>x+6
2x>6
x>3
Hence, the solution is x>3.
To know more about inequality follow
https://brainly.com/question/24372553
#SPJ2
Which sentence below best explains the process of upwelling
Classify the following as either a discrete random variable or a continuous random variable.
The amount of time six randomly selected volleyball players play during a game.
Is it: Discrete or Continuous
Answer: continuous random variable.
Step-by-step explanation:
A discrete random variable is defined as a random variable which consists of countable number. Examples include numbers of shoes, number of sales etc.
A continuous random variable is a random variable whereby the data can take several values. It is a random variable that takes time into consideration.
Therefore, the amount of time six randomly selected volleyball players play during a game will be a continuous random variable since time so involved.
1 - r= - 5help me please
Answer:
r = 6
Step-by-step explanation:
1 - r = -5
Subtract 1 on both sides
-r = -5 -1
-r = -6
Divide by -1 on both sides
r = 6
