Answer:66.5
Step-by-step explanation:
Let θ represent ∠MLK
Arc length (s) = radius (r) · θ (theta must be in radians)
Step-by-step explanation:
How many pounds are in 112 ounces? Enter only the number. Do not include units.
The solution is_____
Plsss helppp!!!!!!!!!!!!!!
Answer:
yes
Step-by-step explanation:
A statistical question is one that can be answered by collecting data and where there will be variability in that data.
because not every father would be born on the same day this is a statistical question.
find the value of x in the polygon
x equals to 10.............
A. 15
B. 75
C. 100
D. 105
Answer:
B. 75
Step-by-step explanation:
According to vertical angles theorem, angles that are opposite of one another with shared lines will be equal, so we can set 5x = x +60.
Solving for x, we get x = 15, and substituting into the angle we get 15 + 60 = 75 degrees.
Which ordered pair best describes the point plotted in Quadrant II on the coordinate plane shown?
A. (-4, 6 )
B. (6, 4 )
C. (4, -6)
D. (6, -4 )
Answer:
A. (-4, 6 )
Step-by-step explanation:
Signals of x and y in each quadrant:
Suppose we have a point P(x,y).
In the first quadrant, we have that both are positive, that is, x > 0, y > 0.
In the second quadrant, x is negative, while y is positive, that is, x < 0, y > 0.
In the third quadrant, both are negative, that is, x < 0, y < 0.
In the fourth quadrant, x is positive while y is negative, that is, x > 0, y < 0.
In this question:
In the second quadrant, we have x negative and y positive, so the ordered pair that best describes is given by option A.
If a fair coin is tossed 4 times, what is the probability, to the nearest thousandth, of getting exactly 3 tails?
Answer:
000.3
Step-by-step explanation:
The probability of getting exactly 3 tails is 0.25 If a fair coin is tossed 4 times, what is the probability.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
We have a coin if it is tossed 4 times.
Then the probability of getting exactly 3 tails is:
[tex]=\rm 4 C_3(\frac{1}{2} )^3\times (1-\frac{1}{2} )^1[/tex]
[tex]=\rm 4\times \frac{1}{16}[/tex]
= 1/4
= 0.25
Thus, the probability of getting exactly 3 tails is 0.25 If a fair coin is tossed 4 times, what is the probability.
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50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
12
Step-by-step explanation:
Use the pythagorean theorem ([tex]a^2+b^2=c^2[/tex]). A and b are the two legs of the triangle, and c is ALWAYS the hypotenuse. Plug in the values for a and c
[tex]a^2+b^2=c^2[/tex]
[tex]5^2+b^2=13^2[/tex]
[tex]25+b^2=169[/tex]
[tex]b^2=144[/tex]
[tex]b=12[/tex]
Answer:
b = 12m
Step-by-step explanation:
5^2 + b^2 = 13^2
25 + b^2 = 169 --> *subtract 25 form both sides*
b^2 = 144 --> find square root of 144*
b = 12
The angle of elevation to the top of the Empire State Building in New York is found to be 11° from the ground at a distance of 5281 feet from the base of the building. Using this information, find the height of the Empire State Building in feet. Use the dimensions given in the diagram to give an equation and solve. Round two decimal places.
Answer:
The height of the building is of 1026.52 feet.
Step-by-step explanation:
This situation is modeled by a right triangle, in which the length of the opposite side to the angle of 11º is the height of the building, while the length of the adjacent side is of 5281 feet.
Tangent:
In a right triangle, the tangent of an angle is the length of the opposite side divided by the length of the adjacent side.
In this question:
[tex]\tan{(11)} = \frac{x}{5281}[/tex]
[tex]x = 5281*\tan{(11)}[/tex]
Using a calculator, we have that the tangent of 11 degrees is: 0.1944. Thus:
[tex]x = 5281*\tan{(11)} = 5281*0.1944 = 1026.52[/tex]
The height of the building is of 1026.52 feet.
A washer and dryer cost $1000 combined. The of the washer is three times the cost of the dryer. What is the cost of the dryer?
Subtract 8−2x from 3−6x .
Answer in this format:
Answer:
[tex]4x + 5[/tex]
Step-by-step explanation:
[tex](8 - 2x) - (3 - 6x)[/tex]
[tex]8 - 2x - 1 \times 3 - (6x)[/tex]
[tex]8 - 2x - 3 + 6x[/tex]
[tex] - 2x + 5 + 6x[/tex]
[tex]4x + 5[/tex]
Hope it is helpful....How are these triangles congruent ?
- HL
- AAA
- ASA
Which polynomial represents the sum below?
Answer:
D
Step-by-step explanation:
Amanda is 10 years old. She wants to
start saving for college. She saves $450
this year and wants to double her money every year after. Write an equation to model this situation. How much money will she have when she is 18 years old?
Answer:
7200
Step-by-step explanation:
450 x 2 = 900
900 x 8 =7200
In Mr Bunnelo's class, 19 out of 26 students wore their school shirt on Friday. If the school has a
population of 2,462 students, approximately how many students at the school wore their school shirt
on Friday?
95 students
130 students
O
663 students
1,799 students
PLEASE HELP ME ASAP I AM STRUGGLING SO MUCH MY WORK IS LITERALLY DUE NOW I'VE BEEN UP ALL NIGHT TRYING TO SOLVE IT AND MY ONLY SOLUTION IS TO ASK FOR HELP SO PLEASE HELP ME IF U CAN
(5a + 18) + (48 - a) + (8a - 30) = 180
5a + 18 + 48 - a + 8a - 30 = 180
5a - a + 8a + 18 + 48 - 30 = 180
12a + 36 = 180
12a = 180 - 36
12a = 144
a = 12
Katy made muffins on 3 days. Each day she used 14 of a stick of butter to make the muffins.
Which can be used to find the total amount of butter Katy used on all 3 days
Answer:
42 total amount of butter Katy used on all 3 days
Step-by-step explanation:
1 day she used 14 butter stick
2 day she used another 14 butter stick
3 day she used another 14 butter stick
14 x 3 = 42
Consider the series 1/8+1/16+1/32+1/64+1/128+... Which expression defines Sn?
Answer:
Answer is Option B.
That is the nth term of the sequence.
1/8 + 1/16 + 1/32....
You notice that all the numerators are the same. Which is (1).
so we have to both about getting the nth term of the denominator
Since all the denominator are divisible by 2... and Your intuition should tell you that they'd multiples of 2
So Lets go with 2^n
2^n
let n be all Integers
let take 1,2,3
2¹ = 2
2² = 4
2³ = 8
Now Observe that
If you multiply all these by 4... We will have all the values of the denominator
which are 4,16,32
So thats our nth term
1/4(2^n)
as n approaches positive Infinity.
The expression is [tex]\lim_{n \to \infty} \frac{1}{4(2^{n}) }[/tex] , so option (B) is the correct expression.
What is series expansion?"A series expansion is an expansion of a function into a series or infinite sum. It is a method for calculating a function that cannot be expressed by just elementary operators (addition, subtraction, multiplication, and division)".
For the given situation,
The series is given as [tex]\frac{1}{8} +\frac{1}{16}+ \frac{1}{32}+ \frac{1}{64}+ \frac{1}{128}+......[/tex]
In the series, all the numerators are 1 and the denominators are even numbers so multiples of 2.
Now, we examine the denominators alone.
[tex]8,16,32,64,128[/tex]
⇒ Multiples of 2. So we get [tex]2^{n}[/tex] multiplied by some integers.
Put [tex]n=1,[/tex]
⇒ [tex]2^{1}[/tex] × [tex]4=8[/tex]
Put [tex]n=2,[/tex]
⇒ [tex]2^{2}[/tex] × [tex]4=8[/tex]
Put [tex]n=3,[/tex]
⇒ [tex]2^{3}[/tex] × [tex]4=32[/tex]
Put [tex]n=4,\\[/tex]
⇒ [tex]2^{4}[/tex] × [tex]4=64[/tex]
Put [tex]n=5[/tex],
⇒ [tex]2^{5}[/tex] × [tex]4=128[/tex]
Thus [tex]2^{n}[/tex] expression becomes [tex]2^{n}(4)[/tex] .
Hence we can conclude that the expression is [tex]\lim_{n \to \infty} \frac{1}{4(2^{n}) }[/tex] . So option (B) is the correct expression.
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Marie grew 10 plants with 2 seed packets. How many seed packets does Marie need to have a total of 15 plants in her backyard? Solve using unit rates
Answer:
he need 3 seeds to plant a 15 plant
The diameter of a pipe is 6 cm. If the pipe is 26 cm long, what is its volume?
Use the value 3.14 for π , and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
i think this question answer is 734.76cm^3
A new pet food product for small dogs has been developed to help with tooth decay. Fifty-two dogs participate in the study. Each dog owner picks a card from a standard deck out of a hat. If the card is red, their dog will be in the treatment group. If the card is black, their dog will be in the placebo group. Which experimental design was used?
a. Randomized Block Design
b. Completely Randomized Design
c. Case-Control Design
d. Matched-Pair Design
Answer: B. Completely Randomized Design
Step-by-step explanation:
A completely randomized design is an experimental design such that treatments are assigned at random completely in order for each experimental unit to have same chance of receiving treatment.
In this scenario, since all the dogs are randomly assigned treatment by picking a card without taking into consideration other factors, then we can infer that thus is a completely randomized design.
Can anyone help ?
Kim rolls a dice and flips a coin.
a) Calculate the probability that she
gets a 2 and a head.
b) Work out the probability that she
gets an even number and a tail.
What would b be
Answer:
a) 1 / 12
b) 1 / 4
Step-by-step explanation:
The events are independent since they do not affect each other. The total probability of two independent events is the product of the probabilities of the two events.
a) When rolling a die, there are 6 outcomes, the numbers 1 - 6. There is only 1 outcome where you can get a 2. Therefore, the probability of rolling a two is 1/6.
When flipping a coin, there are two ways it can land: heads or tails. And there is one outcome with heads. The probability of getting head would be 1 / 2.
To find the the total, you multiply the probabilities of the two events: 1 / 6 * 1 / 2 = 1 / 12
b) As stated before, when rolling a die, there are 6 outcomes, the numbers 1 - 6. There are 3 outcomes where she can roll an even number: the numbers 2, 4, or 6. So, the probability of rolling an even number is 3 / 6 or 1 / 2.
When flipping a coin, there are two ways it can land: heads or tails. And there is one outcome with tails. The probability of getting tails would be 1 / 2.
Now, you multiply the two probabilities to get the total probability: 1 / 2 * 1 / 2 = 1 / 4
what is the value of x ?
Answer:
x = 19
Step-by-step explanation:
The two angles form a right angle
A right angle has a measure of 90 degrees
Thus, x + 14 + 3x = 90
^This is the equation we will use to solve for x
x + 14 + 3x = 90
step 1 combine like terms
x + 3x = 4x
we now have 4x + 14 = 90
step 2 subtract 14 from each side
90 - 14 = 76
14 - 14 cancels out
we now have 76 = 4x
step 3 divide each side by 4
4x / 4 = x
76 / 4 = 19
we're left with x = 19
Question 17 (1 point)
Bicycle, a company that makes dice, is looking to change the size of the dice they produce. The current dice have edge lengths of 5mm, and the company wants to increase them to 15mm. How will the volume of the dice be effected if this change is made?
Question 17 options:
30x larger
3x larger
10x larger
27x larger
Answer:
3x
Step-by-step explanation:
Me puedes ayudar es para hoy porfavor
Answer:
mira a las base de las figuras y busca cual base matchs con la figuras de la figura prinsipal
Step-by-step explanation:
como el cono va con la del toda la izquierda de la de la mitad
please help thanks I need it in an hour please
Answer:
i cant see the picture sorry
Step-by-step explanation:
id appreciate some help ^^
Answer:
392
Step-by-step explanation:
I would separate this into 2 shapes a triangle and a square. So first take the area of the square
area of square = base x height
16x19=304
Than take the area of the triangle
area of triangle = 1/2(base x height)
you can find the height of the triangle by subtracting 19 from 30 which is 11, and the base is the same as the base of the square which is 16
1/2(16x11)= 88
Add them together
304+88=392
Can somebody help me seriously
Answer: b
Step-by-step explanation:
I don't know but i am right
How do I solve this equation? 25=y+20
Answer:
y=5
Step-by-step explanation:
25-20=y
Therefore: y=5
Answer:
y = 5
Step-by-step explanation:
25 = y + 20 Subtract 20 from both sides
-20 -20
5 = y
which expression show 50+30 written as a product of two factor
Answer:10(5+3)
I Really Hope This Helps<3!
You take Rocky to the Del Mar fair. His mom gives him $30 to spend. It costs $13 to get in and the $2 for every ride. How many rides can he ride?
Answer with the system of equations
Answer:
Up to eight times
Step-by-step explanation:
[tex](30 - 13) \div 2 \\ 17 \div 2 = 8.5[/tex]