The sum of the numbers in the series is -8208.
Explanation:The sum of a series can be found using the formula for the sum of an arithmetic series, which is given by:
Sum = (n/2)(first term + last term),
where n is the number of terms and the first and last terms are provided in the series. In this case, the first term is 15 and the last term is -129. The common difference between each term is -4.
Using the formula, we have:
Sum = ([-129 - 15]/2)(15 + -129) = (-144/2)(-114) = 72 * -114 = -8208.
Therefore, the sum of the numbers in the series is -8208.
What is the equivalent of pi over 3 radians in degrees?
Two thirds of the families in smithville own their own homes. The total number of home owning families there is 480. How many families live in smithville?
This is incredibly frustrating. PLEASE HELP ME
how many times does 15 go into 46
The graph of y=|x| is transformed as shown in the graph below. Which equation represents the transformed function?
we have that
the original function [tex]y=\left|x\right|[/tex] has the vertex at point [tex](0,0)[/tex]
The transformed function has the vertex at point [tex](-3,-2)[/tex]
so
the rule of the translation is equal to
[tex](x,y)------> (x-3,y-2)[/tex]
That means
The translation is [tex]3[/tex] units to the left and [tex]2[/tex] units down
therefore
the answer is
the transformed function is [tex]y=\left|x+3\right|-2[/tex]
What is the number of social security credits a worker needs to earn over his or her working lifetime to collect Social security benefits?
Terry uses 3 cups of pumpkin seeds to decorate the tops of 12 loaves if bread. She puts an equal amount of seeds on each loaf. How many cups of pumpkin seeds does she put on each loaf of bread?
graph of this ellipse
x^2 + y^2 =1
_ _
4 16
Instructions:Select the correct answer from each drop-down menu. The range of all real numbers x such that 2x − 5 < 7 and 4x + 10 > 6 is . The range of all real numbers x such that 2x − 5 < 7 or 4x + 10 > 6 is
y = x3 - 3x On which intervals is this function increasing?
on a game show that are 10 keys in the bag and three of the key start a car and contest in randomly choosing the key it doesn't not start the car she returned to the bag the host mixed up the back she randomly selects another key this key does not start the car either what is the probability of this no start no start outcome
To win at lotto in a certain state, one must correctly select 6 numbers from a collection of 50 numbers (one through 50). the order in which the selections is made does not matter. how many different selections are possible?
We have been given that the order doesn't matter in the selection procedure. Hence, the case is of combination.
The formula for the combination is given by
[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]
Now, in order to win at lotto, one must correctly select 6 numbers from a collection of 50 numbers. Thus, the required ways should be
[tex]^{50}C_6[/tex]
Using the above formula, the number of different selections are
[tex]^{50}C_6=\frac{50!}{6!(50-6)!}\\ \\ =\frac{50!}{6!44!}\\ \\ =\frac{44!\times 45\times 46\times 47 \times 48\times 49\times 50}{6!44!}\\ \\ =15890700[/tex]
Therefore, 15890700 different selections are possible.
The net asset value of stock in a mutual fund had increased by $20 per share when an investor decided to redeem them. The investor had purchased 100 shares of the stock for $2,316 and redeemed them for $4,301. What can you conclude about the fund? a. The fund is a no-load fund. b. The offer price of the fund was $0.15 less than the net asset value when purchased. c. The offer price of the fund was $0.15 more than the net asset value when purchased. d. The offer price of the fund was $0.15 more than the net asset value when sold.
Greg has an MP3 player called the Jumble. The Jumble randomly selects a song for the user to listen to. Greg's Jumble has 666 classical songs, 777 rock songs, and 999 rap songs on it. What is \text{P(not a rap song})P(not a rap song)P, left parenthesis, n, o, t, space, a, space, r, a, p, space, s, o, n, g, right parenthesis?
We have been given that Greg's Jumble has 666 classical songs, 777 rock songs, and 999 rap songs.
Therefore, total number of songs are
[tex]666+777+999\\ =2442[/tex]
The formula for probability is given by
[tex]P(E)=\frac{n(E)}{n(s)}[/tex]
Let us first find the probability for rap song
[tex]P(\text{rap song})= \frac{999}{2442} \\ P(\text{rap song})= \frac{9}{22}[/tex]\\
Therefore, we have
[tex]P(\text{ not rap song})=1- P(\text{rap song})\\ \\ P(\text{ not rap song})=1-\frac{9}{22} \\ \\ P(\text{ not rap song})=\frac{13}{22} =0.59[/tex]
Hence, we have
P(not rap song)=0.59
fully expand the logarithm: log(x^3/z^5)
Q # 15 in the diagrams a || b a. Use the fiagrama o answer the question(diagrama not to scale.)
In the number 7,777.777, how does the 7 in the hundreds place compare to the 7 in the place to its left?
A.
The 7 in the hundreds place represents of what the 7 to its left represents.
B.
The 7 in the hundreds place represents 10 times what the 7 to its left represents.
C.
The 7 in the hundreds place represents of what the 7 to its left represents.
D.
The 7 in the hundreds place represents 100 times what the 7 to its left represents.
After a comparison of the number 7 which is at hundreds of places to the number 7 left off it, it is 10 times of what the 7 to its left represents. Hence, option B is correct
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the data provided in the question,
The given number is 7,777.777
Now, we have to compare the number 7 which is at the hundreds place with the 7 in the place left to it.
So, the 7 which is left to the 7 at the hundredth place will be 10 times it. Also, the 7 which is the second left to the 7 at the hundredth place is 100 times and so on it will increase like this.
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please help! i dont understand this.
a 25 gram sample substance that's used for drug research has a k-value of 0.1229. find the substances half-life, in days using the exponential decay formula. round your answer to the nearest tenth
With a k-value of 0.1229, the half-life is approximately 5.6 days.
The exponential decay formula is given by:
amount remaining = initial amount × e^-(k × t)
For a substance's half-life, the amount remaining is half of the initial amount. The formula to find the half-life (t1/2) is:
t1/2 = ln(2) / k
Here, ln(2) is approximately 0.693 and k is given as 0.1229. Substituting these values in:
t1/2 = 0.693 / 0.1229 ≈ 5.64 days
Rounding to the nearest tenth, the half-life of the substance is 5.6 days.
What is the equation of the circle shown in the graph ? (Blank)^2 + (Blank)^2 = blank
The equation of the circle shown in the graph is equal to [tex](x + 6)^2 + (y - 4)^2 = 36[/tex]
Form the graph, we can deduce the following points:
The center of the circle is denoted by the black dot and we can see that the values are -6 and 4 respectively.
Center (h, k) = (-6, 4)Also, the diameter of the circle is:
Diameter = 12 units
Radius = [tex]\frac{Diameter}{2} = \frac{12}{2} = 6 \;units[/tex]
Mathematically, the standard form of the equation of a circle is given by;
.....equation 1
Where;
h and k represents the coordinates at the center.r represents the radius of the circle.Substituting the values into eqn 1, we have:
[tex](x - [-6])^2 + (y - 4)^2 = 6^2\\\\(x + 6)^2 + (y - 4)^2 = 36[/tex]
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function that has the same domain as y=2√x
Answer:
The answer is A. y = √2x
Step-by-step explanation:
Jackson goes to the gym 0, 2, or 3 days per week, depending on work demands. The expected value of the number of days per week that Jackson goes to the gym is 2.05. The probability that he goes 0 days is 0.1, the probability that he goes 2 days is , and the probability that he goes 3 days is .
Al and Bill each have two bullets. They fire alternately at a glass bottle. Al has hitting probability 1/3 and Bill 1/4. What is the probability that Al smashes the bottle if he is the one who fires the first shot? (Note: Al can smash the bottle even if he misses with his first shot.)
Diana invested $3000 in a savings account for 3 years. She earned $450 in interest over that time period. What interest rate did she earn? Use the formula I=Prt to find your answer, where I is interest, P is principal, r is rate and t is time. Enter your solution in decimal form rounded to the nearest hundredth. For example, if your solution is 12%, you would enter 0.12.
coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negative 7, 1 point E at 4, negative 2 point F at 1, negative 6 point G at negative 3, negative 10 point H at negative 4, negative 4 point I at 9, 3 point J at 7, negative 4 and point K at 2, 3
The coordinate grid shows points A through K. Which points are solutions to the system of inequalities listed below?
2x + y ≤ 10
2x − 4y < 8
What is the similarity ratio of the smaller to the larger similar pyramids? Enter your answer as a:b
hey can you please help me posted picture of question
fresh raspberry contain 80% water.Dried raspberry contain only 20%.how many pounds do you get from 36lb fresh berries
The amount of fresh berries that contain 80% water is 7.2 pounds.
Amount of water in fresh raspberry = 80%
It means the amount of raspberry only in a fresh raspberry =20%
Amount of water in dry raspberry =20%
What is a percentage?A percentage is a value per hundred.
So, the amount of raspberry only in 36 lbs fresh berries = 20% of 36
20% of 36 = (20/100)*36 = 7.2 lbs
So, the amount of raspberry only in 36 lbs of fresh berries = 7.2 lbs
Therefore, we get 7.2 lbs from 36lb fresh berries.
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A line has a slope of 2 and a y intercept of (0,-4) what is the value of y when x=6
The question is about finding the y-value of a line when the x-value is given, knowing the slope and the y-intercept. By plugging the given slope, y-intercept and the provided x-value into the formula y = mx + b, we find that y equals 8 when x equals 6.
Explanation:If we know the slope (m) of a line and the y-intercept (b), we can use the formula y = mx + b to calculate the y-value for any x-value. In the given question, the slope (m) is 2 and the y-intercept (b) is -4. If we want to find the y-value when x = 6, we can substitute these values into the formula:
y = 2*6 - 4
So, y = 12 - 4 = 8. Therefore, when x = 6, the value of y is 8.
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Given the least squares regression equation, = 1202 + 1,133x, when x = 4, what does equal?
A ball is thrown into the air with an upward velocity of 32 ft/s. Its height h in feet after t seconds is given by the function h = –16t2 + 32t + 6. a. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. b. What is the ball’s maximum height? 1 s; 54 ft 2 s; 6 ft 2 s; 22 ft 1 s; 22 ft
Answer: 22 ft, 1 s
Step-by-step explanation: