Answer:
249
Step-by-step explanation:
We can see that the difference of every term in the given sequence is 9, because -12 + 9 = -3, -3 + 9 = 6 and 6 + 9 = 15. We may therefore assume that the sequence is arithmetic (a fancy word of saying that a sequence is increasing with a constant value every term).
Since the difference of every term is 9, we know that the explicit form of the sequence (where the value of every term is expressed in terms of the term number) is in the form [tex]9n+c[/tex], where [tex]n[/tex] is the term number and [tex]c[/tex] is a constant we are going to figure out right now.
We know that the first term of the sequence is -12, so we see that[tex]9(1) + c = -12[/tex] and hence [tex]c=-21[/tex]. Therefore, the 30th term of the sequence is [tex]9(30) - 21 = 249[/tex].
In a triangle, the second angle measures twice the first. The measure of the third angle is 24 degrees more than the first. Find the measures of the three angles.
What is the value of y?
y =
I need help to find the range
Answer:
algebraic terms = 4- -4 = 8
Step-by-step explanation:
-4 is our lowest value as 5 is not equal or counted
4 is our highest value and is counted.
Please help with this question
Answer:
One book would cost $13.
Step-by-step explanation:
To solve this all you have to do is divide 65 by 5. Since 65 divided by 5 is 13, 13 is your answer. So one book would cost $13.
I hope this helps you.
Help due soon plz helpp
Answer: 7) -12;
8) 0 или 1.
Step-by-step explanation:
7.
x ≤ - 12
x ∈ ( - ∞; - 12]
Наибольшее целое значение, при котором верно неравенство равно -12.
8.
-9,6*8 > - 9,627
Варианты возможных чисел: -9,618 и -9,608.
Значит вместо звездочки можно подставить цифры 0 или 1.
find the values of x and y in the diagram
Answer:
y=2, x=3
Step-by-step explanation:
We can see that because triangle EHF has all 3 of the angles the same, EFH is an equilateral triangle and all of the sides are the same. So, we now know that y+2=4. if we simplify that, we find that y=2. Now, because the angles FHG and angle FGH are the same, triangle FHG is an isosceles triangle, and y+2=x+1. we now know that y+2=4, so x+1=4. simplify and x=3
my REAL FINAL LAST 100 points, pls do me well this time... show work pls :(
Im not sure how to explain how to do a graph, but I hope this helps at least a bit!
~Direct Variation When two variables are related in such a way that the ratio of their values always remains the same, the two variables are said to be in direct variation. In simpler terms, that means if A is always twice as much as B, then they directly vary. If a gallon of milk costs $3, and I buy 1 gallon, the total cost is $3.~
In a test for ESP (extrasensory perception), a subject is told that cards the experimenter can see but the subject cannot contain a star, a circle, a wave, a triangle or a square. As the experimenter looks at each card in turn, the subject names the shape on the card. A subject who is just guessing has a one in four chance of guessing correctly on each card.
A. The count of correct guesses in 20 cards has a binomial distribution. What are n and p?
B. What is the mean number of correct guesses in 20 cards for subjects who are just guessing?
C. What is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?
Answer:
a) [tex]n = 20[/tex] and [tex]p = 0.25[/tex]
b) The mean number of correct guesses in 20 cards for subjects who are just guessing is 5.
c) 0.2023 = 20.23% probability of exactly 5 correct guesses in 20 cards if a subject is just guessing
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
A. The count of correct guesses in 20 cards has a binomial distribution. What are n and p?
20 cards mean that [tex]n = 20[/tex]
A subject who is just guessing has a one in four chance of guessing correctly on each card, which means that [tex]p = \frac{1}{4} = 0.25[/tex]
B. What is the mean number of correct guesses in 20 cards for subjects who are just guessing?
Expected value, so
[tex]E(X) = np = 20*0.25 = 5[/tex]
The mean number of correct guesses in 20 cards for subjects who are just guessing is 5.
C. What is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?
This is P(X = 5). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{20,5}.(0.25)^{5}.(0.75)^{15} = 0.2023[/tex]
0.2023 = 20.23% probability of exactly 5 correct guesses in 20 cards if a subject is just guessing
What is the slope-intercept form of the line that passes through (2,7) and (4, -1)?
y = -4x + 15
y = -4x + 12
y = -4x + 30
y = -4x + 3
Answer:
y=-4x+15
Step-by-step explanation:
4-(-5)
Integer Rules
Step-by-step explanation:
4-(-5)
= 4+5
= 9
............
How do you use Trigonometric Ratios to solve Real-world problems?
Answer:
Trigonometry can be used to measure the height of a building or mountains: if you know the distance from where you observe the building and the angle of elevation you can easily find the height of the building.
4. A bicycle tire has a radius of 13 ¼ inches. How far will the bicycle travel in 40 rotations of the tire? Round to the nearest tenth
Answer:
It should be 530 inches, so 44 feet.
Step-by-step explanation:
I am not 100% but I did 13.25 times 40.
The population of a certain species of insect is given by a differentiable function P, where P(t) is the number of insects in the population, in millions, at time t, where t is measured in days. When the environmental conditions are right, the population increases with resect to time at a rate that is directly proportional to the population. Starting August 15, the conditions were favorable and the. population began increasing. On August 20, five days later, there were an estimated 10 million insects and the population was increasing at a rate of 2 million insects per day.
Required:
What is the differential equation that models this situation?
Answer:
[tex]\frac{dP}{dt} \ =\ \frac{1}{5}P[/tex]
Step-by-step explanation:
Given
Variation: Directly Proportional
Insects = 10 million when Rate = 2 million
i.e. [tex]P = 10\ million[/tex] when [tex]\frac{dP}{dt} = 2\ million[/tex]
Required
Determine the differential equation for the scenario
The variation can be represented as:
[tex]\frac{dP}{dt} \ \alpha\ P[/tex]
Which means that the rate at which the insects increase with time is directly proportional to the number of insects
Convert to equation
[tex]\frac{dP}{dt} \ =\ k * P[/tex]
[tex]\frac{dP}{dt} \ =\ kP[/tex]
Substitute values for [tex]\frac{dP}{dt}[/tex] and P
[tex]2\ million = k * 10\ million[/tex]
Make k the subject
[tex]k = \frac{2\ million}{10\ million}[/tex]
[tex]k = \frac{2}{10}[/tex]
[tex]k = \frac{1}{5}[/tex]
Substitute [tex]\frac{1}{5}[/tex] for k in [tex]\frac{dP}{dt} \ =\ k * P[/tex]
[tex]\frac{dP}{dt} \ =\ \frac{1}{5}* P[/tex]
[tex]\frac{dP}{dt} \ =\ \frac{1}{5}P[/tex]
Solve the equation: 3x - 2/4 = 2x – 8 Explain your reasoning / show work:
A bag of apples weighs 7kg, correct to
the nearest kilogram.
What is the least possible weight of the
bag of apples?
I need help with this if you get it right I will mark you
Consider the system of equations shown in the box.
y = 3x + 1
y = 2x - 4
What is the x-coordinate in the solution of the system?
Answer:
x = -5
Step-by-step explanation:
3x + 1 = 2x - 4
x + 1 = -4
x = -5
The x-coordinate in the solution of the system is -5.
What are linear equations?Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.
Given the equations y = 3x + 1
y = 2x - 4
comparing both equations for equal values of y,
3x + 1 = 2x - 4
3x - 2x = -4 - 1
x = -5
substitute value of x in equation,
and y = 3x + 1
y = 3(-5) + 1
y = -14
Hence the value of x is -5.
Learn more about linear equations;
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25 divided 5 + 7 - [ 4 x 3 ] =
The positive integers P, Q, R, S and T increase in
order of size such that the value of each
successive integer is more than the
preceding integer and the value of T is 6. The
value of S is :
wich of the statement below is true for the foolowing set of numbers 24,20,36,51,60,28?
20,24,28,36,51,60 us the correct statement
9x + 8y = 10
y = -4x + 7
Answer:
X=2
Step-by-step explanation:
9x+8(-4x+7)=10
9x+(-32x)+56=10
-23x=10-56
-23x=-46
X=-46/-23
so X=2
A poker deck consists of fifty-two cards, representing thirteen denominations (2 through ace) and four suits (diamonds, hearts, clubs, and spades). A five-card hand is called a flush if all five cards are in the same suit but not all five denominations are consecutive. Pictured below is a flush in hearts. Let N be the set of five cards in hearts that are not flushes. How many outcomes are in N
Answer:
10
Step-by-step explanation:
Let N represent the set of 5 hearts cards that are not flushes
From the image attached below; there are thirteen (13) denominations on deck
i.e. (A,K,Q,J,10,9,8,7,6,5,4,3,2) in the deck
Let us take an integral look at the set of cards that contains consecutive dominations in hearts. Relating them from the lowest denomination to the highest denomination. Also, for hand to be in a straight all cards, they must be in consecutive order.
So, starting from the lowest straight A-2-3-4-5 to the highest straight, we would have a royal flush 10, J, Q, K, A
∴
[tex]N = \left \{ {{(A,2,3,4,5,),(2,3,4,5,6),(3,4,5,6,7),(4,5,6,7,8)(5,6,7,8,9)} \atop {(6,7,8,9,10),(7,8,9,10,J),(8,9,10,J,K),(9,10,J,K,L),(10,J,Q,K,A)}} \right. \}[/tex]
Hence, the total no of outcome for N = 10
A bottle contains 24.5 oz of water. A leak in the bottle causes it to lose 0.3 oz of water every minute. How many minutes does it take for the bottle to lose 33% of the water.
Answer:
27 minutes
Step-by-step explanation:
33% of 24.5 is 8.1 ounces
.3 oz / 1 min = 8.1 oz / 'x' min
cross-multiply:
.3x = 8.1
x = 8.1 / .3
x = 27
please help what is this help
Which quadratic rule represents the data in the table?
y= -2x2 + 5
y= -x2 + 5
y = x2 - 5
y = x2 + 5
Answer:
x^2 - 5
Step-by-step explanation:
x = -1, y = 1 - 5 = -4.
x = 0, y = 0-5 = -5.
x = 1, y = 1 - 5 = -4.
what is the slope of the line passing through the points (2,5) and (-1,-4)? show all work.
Answer:
3
Step-by-step explanation:
[tex]\frac{y_{1} - y_{2}}{x_{1} - x_{2}} = \frac{9}{3} = 3[/tex]
Gina wants to go to the water park with her friends. They have a total of w dollars to buy 5 tickets. Each
ticket costs 15 dollars.
Select the equation that matches this situation.
Ow= 15 + 5
O 5 = 15w
O w = 5(15)
15 = 5w
Answer:W=5x15
HTH
Step-by-step explanation:
Listen in equation what is 596×9 subtract 64÷5 is this hard 13 points
Answer:
5351.2
Step-by-step explanation:
596 times 9 = 5364
64 divided by 5 = 12.8
5364 minus 12.8 = 5351.2
BEG is a triangle ABC and DEF are parallel lines workout the size of angle x
Answer:
Step-by-step explanation:
Here the answer
Answer:
Angle X i belive is a right angle
Jamie is flying a kite at the beach. Jamie ties the string to a stake in the ground and
lets out 75 feet of string. If the angle of elevation of the kite is 55 degrees, how high is
the kite from the ground to the nearest foot?
Answer:
24
Step-by-step explanation:
that is what thinkof ur answer
Answer:
Height=61 feet
Step-by-step explanation:
Height=sin 55 degrees x 75
Height=0.8192 x 75
Height=61.43