Answer:
*2.5
Step-by-step explanation:
15*2.5=37.5
7*2.5=17.5
5 positive integers that have a mode of 4 and 6, a median of 6 and a mean of 7
simplify this expression: 10x-5y+2x-3y
Answer:
12x - 8y
Step-by-step explanation:
Pls answer i will mark as branliest
Answer:
A) Corresponding Angles Theorem (They correspond to each other)
B) If <XBC = 55 Then <XCB = 55
(Because they both are opposite to equal sides)
Now, Finding <BXC:
=> <BXC = 180-55-55 (Angles of a triangle add up to 180 degrees)
=> <BXC = 70 degrees
The sides of a triangle are 8 cm, 11 cm and 13 cm. What is its area?
Step-by-step explanation:
Area of triangle = 1/2 (L*h)
THIS IS URGENT AM I CORRECT PLEASE HALP!!!!!
Answer: you are
Step-by-step explanation:because how long is the amount of time it takes to get in the firetruck. Simply put yes you add the minutes it takes
Divide $1200 in the ratio 5:3:2
Answer:
Step-by-step explanation:
16
Alicia can walk 1/4 mile every 1/5 hour. At this rate, how far can Alicia walk in one hour?
Answer:
1 1/4 miles
Step-by-step explanation:
Multiply 1/4 by 5 as you have to make the 1/5 of an hour into a whole hour. That would be 1 1/4 miles in an hour
Bill invests $2,537 in a retirement account with a fixed annual interest rate of 7% compounded 4 times per year. What will the account balance be after 15 years?
Answer:
21,337.85 8,589 e
takethe 6,139 6,139 nawa og 8,589
Toy 1.40495_ear to 02 Yang es 2.48432 e
es Inc4oua5 Ince r 2 incz484323 lnceo.at
Step-by-step explanation:
Fence posts are erected 5m apart (with a post at each corner) to support fencing round a rectangular field. If the field measures 100m by 60m, how many posts are needed?
Answer:
64 poles
Step-by-step explanation:
Given the question :
Fence posts are erected 5m apart (with a post at each corner) to support fencing round a rectangular field. If the field measures 100m by 60m, how many posts are needed?
Dimension of rectangular field = 100m by 60m
Length = 100m ; breadth = 60m
Since it is erected around the corners of the field, we need to calculate the entire perimeter of the rectangular field.
Perimeter of a rectangle : 2( length + breadth)
Perimeter = 2(100 +60) = 2(160) = 320m
Since the posts are erected 5m apart, the number of post needed will be :
Perimeter / 5
= 320 / 5
= 64 poles
If f(x) = 5x + 2x and g(x) = 3x - 6, find (f+g)(x).
O A. 5X + x-6
O B. 5x – X+6
O C. 10x- 6
O D. 5* + 5x – 6
Answer:
10x -6
Step-by-step explanation:
f(x) = 5x + 2x = 7x
g(x) = 3x - 6
f(x) + g(x) = 7x+ 3x-6
= 10x -6
What is the probability that a coin flipped 3
times will land heads up exactly 2 times?
Answer:
3/8
Step-by-step explanation:
Consider all the possible ways to get two heads, HHT, HTH and THH. There are 2⋅2⋅2=8 possible combinations in total. Therefore, the answer is 3/8.
when xyz is trading at 40, an xyz 30 put sold at 3 would be a) at parity. b) at the money. c) out of the money. d) in the money.
The correct answer is (d) in the money. The XYZ 30 put sold at 3 is in the money because the strike price is lower than the current market price of XYZ, indicating the potential for the option holder to gain if they were to exercise the option.
To determine the status of an XYZ 30 put option sold at 3 when XYZ is trading at 40, we need to understand the concepts of "at parity," "at the money," "out of the money," and "in the money" in options trading.
- At parity: An option is said to be at parity when its market price is equal to its intrinsic value. Intrinsic value refers to the amount by which an option is in the money. If an option is at parity, there is no inherent gain or loss in holding the option.
- At the money: An option is considered at the money when the strike price of the option is equal to the current market price of the underlying asset. In this case, the XYZ 30 put would be considered at the money if the XYZ stock is trading at 30, which is not the case in this scenario.
- Out of the money: An option is out of the money when the strike price is higher for a put option (or lower for a call option) than the current market price of the underlying asset. In this scenario, since the XYZ 30 put has a strike price of 30 and XYZ is trading at 40, the put option is out of the money.
- In the money: An option is in the money when the strike price is lower for a put option (or higher for a call option) than the current market price of the underlying asset. In this case, since the XYZ 30 put has a strike price of 30 and XYZ is trading at 40, the put option is in the money.
Therefore, the correct answer is (d) in the money. The XYZ 30 put sold at 3 is in the money because the strike price is lower than the current market price of XYZ, indicating the potential for the option holder to gain if they were to exercise the option.
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9x+7/2-(x-(x-2/7) )=36
Answer:
\(9x + \frac{7}{2} - (x - (x - \frac{2}{7} )) = 36 \\ 9x + \frac{7}{2} - x + x - \frac{2}{7} = 36 \\ 9x + \frac{7}{2} - \frac{2}{7} = 36 \\ 9x + \frac{49 - 4}{14} = 36 \\ 9x + \frac{45}{14} = 36 \\ 9x = 36 - \frac{45}{14} \\ 9x = \frac{504 - 45}{14} \\ 9x = \frac{459}{14} \\ x = \frac{459}{14 \times 9} = \frac{459}{126} \\ x = 3 . 64 \\ thank \: you\)
Given equation is (9x+7)/2 - { x - (x-2)/7} = 36
⇛(9x+7)/2 - {7x-(x-2)}/7 = 36
⇛(9x+7)/2 -{(7x-x+2)/7} = 36
⇛(9x+7)/2 -(6x+2)/7 = 36
Take theLCM of 2 & 7 is 14.
⇛{7(9x+7)-2(6x+2)}/14 = 36
⇛(63x+49-12x-4)/14 = 36
⇛(51x+45)/14 = 36
⇛51x+45 = 36×14
⇛51x+45 = 504
⇛51x = 504-45
⇛51x = 459
⇛x = 459/51
.°. x = 9
Answer: Hence, the value of “x” is 9.
Check: LHS: (9x+7)/2 - { x - (x-2)/7}
⇛{9(9)+7}/2 -{9-(9-2)/7}
⇛(81+7)/2 - (9-(7/7)
⇛88/2 - (9-1)
⇛44-(8)
⇛44-8
⇛36
⇛RHS.
LHS=RHS is true for “x= 9”
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If 50 pounds of potatoes cost $300. How many pounds of potatoes can you buy with $216? Include units.
Answer:
I don't know
I don't know
I don't know and this is it easy see!
34 I think because 300-216=84 and 84-50=34
. Calculate the speed of a dog running through a field if he is covering 23.7 meters in 54 seconds.
Answer:
0.44 meters a second
Answer:
The answer is 0.43
Step-by-step explanation:
a triangle flower bed has one angle of 64 degrees. the other two angles are congruent to one another. what are the measures of the two unknown angles?
Answer:
58 degrees
Step-by-step explanation:
well we know that every angle in a tringle adds up to 180 degrees.
so we know that 64 + angle 1 + angle 2 = 180
180-64=116
and since they are congruent (same value as one another) you just divide 116 by 2 and boom!
116/2=58
both are 58 degrees
If a single image requires 2MB, then at 40 frames per second, 60 minutes video requires how many GB? 288 GB
180 GB
355 GB
215 GB
A 60-minute video at 40 frames per second requires approximately 288 GB of video storage.
To calculate the amount of storage required for a 60-minute video at 40 frames per second, we need to consider the following factors:The duration of the video: 60 minutesThe frame rate: 40 frames per secondThe size of a single frame: 2MBFirst, we calculate the total number of frames in the video:Total frames = frame rate \(\times\) duration
Total frames = 40 frames/second \(\times\) 60 minutes \(\times\) 60 seconds/minute
Total frames = 144,000 frames
Next, we calculate the total storage required for all the frames:Total storage = Total frames \(\times\) size of a single frame
Total storage = 144,000 frames \(\times\) 2MB/frame
Converting from MB to GB:Total storage = (144,000 frames \(\times\) 2MB/frame) / 1024 MB/GB
Total storage = 288,000 MB / 1024 MB/GB
Total storage ≈ 288 GB
Therefore, the correct answer is approximately 288 GB.
Note: The complete question is:
If a single image requires 2MB, then at 40 frames per second, 60 minutes video requires how many GB?
288 GB
180 GB
355 GB
215 GB
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Given the numbers -100, -14.5, -2, -2/3, 0, 10,15, 20 1/6, which are rational numbers?
A rational number is a number that can be written in the form of p/q where q is not equal to zero.
The rational numbers are -100, -14.5, -2, -2/3, 0,10, 15, 20 1/6.are rational.
What is a rational number?A rational number is a number that can be written in the form of p/q where q is not equal to zero.
We have,
-100, -14.5, -2, -2/3, 0, 19, 15, 20, 1/6
-100 = -100/1
It is in the form of p/q.
It is a rational number.
-14.5 = -145/10
It is in the form of p/q.
It is a rational number.
-2 = -2/1
It is in the form of p/q.
It is a rational number.
-2/3 = -2/3
It is in the form of p/q.
It is a rational number.
0 = 0/1
It is in the form of p/q.
It is a rational number.
19 = 19/1
It is in the form of p/q.
It is a rational number.
15 = 15/1
It is in the form of p/q.
It is a rational number.
20 = 20/1
It is in the form of p/q.
It is a rational number.
1/6
It is in the form of p/q.
It is a rational number.
We see that all the numbers given are rational numbers.
Thus,
The rational numbers are -100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6.
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If a girl has 4 seeds, 3 blue ones, and 1 purple one. What is the probability of her choosing a purple one?
Answer:
¼
Step-by-step explanation:
From the question given above, the following data were obtained:
Blue (B) seed = 3
Purple (P) seed = 1
Total (S) = 1 + 3 = 4
The probability of her choosing a purple seed can be obtained as follow:
Event of purple seed, n(P) = 1
Total, n(S) = 4
Probability of purple seed, P(P) =?
P(P) = n(P) / n(S)
P(P) = ¼
Therefore, the probability of her choosing a purple seed is ¼.
Abstract art. A painter has four different jars of paint colors available, exactly one of which is purple. She wants to paint something abstract, so she blindfolds herself, randomly dips her brush, and paints on the canvas. She continues trying paint jars until she finally gets some purple onto the canvas (her assistant will tell her when this happens). Assume that she does not repeat any of the jars because her assistant removes a jar once it has been used. a. How many outcomes are in the sample space
There are 10 possible outcomes in the sample space.
To determine the number of outcomes in the sample space, we need to consider the number of possible sequences of paint jars the painter can try before finally obtaining the purple color.
Since the painter does not repeat any of the jars, we can count the outcomes by considering the possible positions of the purple jar within the sequence.
In the first attempt, there are 4 different jars she can choose from.
If the purple jar is not chosen in the first attempt, there are 3 remaining jars she can choose from in the second attempt.
If the purple jar is not chosen in the second attempt, there are 2 remaining jars she can choose from in the third attempt.
If the purple jar is not chosen in the third attempt, there is only 1 remaining jar she can choose from in the fourth attempt.
Since the purple jar must be chosen at some point, it will be one of the four attempts. Therefore, the total number of outcomes in the sample space is the sum of the outcomes at each step:
4 + 3 + 2 + 1 = 10
So, there are 10 possible outcomes in the sample space.
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Let T: P₂ → P4 be the transformation that maps a polynomial p(t) into the polynomial p(t)- t²p(t) a. Find the image of p(t)=6+t-t². b. Show that T is a linear transformation. c. Find the matrix for T relative to the bases (1, t, t2) and (1, t, 12, 1³, 14). a. The image of p(t)=6+t-1² is 6-t+51²-13-14
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T: P₂ → P4, is the transformation that maps a polynomial p(t) into the polynomial p(t)- t²p(t). Let’s find out the image of p(t) = 6 + t - t² and show that T is a linear transformation and find the matrix for T relative to the bases (1, t, t²) and (1, t, 12, 1³, 14).
Step by step answer:
a) The image of p(t) = 6 + t - t² is;
T(p(t)) = p(t) - t² p(t)T(p(t))
= (6 + t - t²) - t²(6 + t - t²)T(p(t))
= 6 - t + 5t² - 13t + 14T(p(t))
= 20 - t + 5t²
Therefore, the image of p(t) = 6 + t - t² is 20 - t + 5t².
b)To show T as a linear transformation, we need to prove that;
(i)T(u + v) = T(u) + T(v)
(ii)T(cu) = cT(u)
Let u(t) and v(t) be two polynomials and c be any scalar.
(i)T(u(t) + v(t))
= T(u(t)) + T(v(t))
= [u(t) + v(t)] - t²[u(t) + v(t)]
= [u(t) - t²u(t)] + [v(t) - t²v(t)]
= T(u(t)) + T(v(t))
(ii)T(cu(t)) = cT (u(t))= c[u(t) - t²u(t)] = cT(u(t))
Therefore, T is a linear transformation.
c)The standard matrix for T, [T], is determined by its action on the basis vectors;
(i)T(1) = 1 - t²(1) = 1 - t²
(ii)T(t) = t - t²t = t - t³
(iii)T(t²) = t² - t²t² = t² - t⁴
(iv)T(1) = 1 - t²(1) = 1 - t²
(v)T(14) = 14 - t²14 = 14 - 14t²
Therefore, the standard matrix for T is;\($$[T] = \begin{bmatrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & -1 & 1 \\ 0 & -13 & 0 \\ 0 & 0 & -14 \end{bmatrix}$$\)Hence, the solution of the given problem is as follows;(a) The image of p(t) = 6 + t - t² is 20 - t + 5t².(b) T is a linear transformation because it satisfies both the conditions of linearity.(c) The standard matrix for T relative to the bases (1, t, t²) and (1, t, 12, 1³, 14) is;\($$[T] = \begin{bmatrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & -1 & 1 \\ 0 & -13 & 0 \\ 0 & 0 & -14 \end{bmatrix}$$\)
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Write the word sentence as an inequality. Then solve the inequality.
A number x divided by 7 is less than −3.
An inequality is
.
The solution of this inequality is
.
Answer:
x/7<-3
x<-21
Step-by-step explanation:
x/7<-3
multiply the seven to get rid of x denominator
x<-21
Answer:
x/7<-3x<-21
Step-by-step explanation:
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a scientist uses a submarine to study ocean life. she begins at sea level, which is an elevation of 0 feet. she travels straight down for 102 seconds at a speed of 4.2 feet per second. she then ascends for 112 seconds at a speed of 1.9 feet per second. at this point, how many feet is she below sea level?
The depth of the scientist below sea level after traveling downward for 102 seconds can be found by multiplying her speed by the time she traveled:
Distance = Speed x Time
Distance = 4.2 feet/second x 102 seconds
Distance = 428.4 feet
Since she traveled straight down, this distance is also her depth below sea level.
Next, we need to find how far she ascended. The distance she traveled upward can be found in the same way:
Distance = Speed x Time
Distance = 1.9 feet/second x 112 seconds
Distance = 212.8 feet
However, since she traveled upward, this distance is subtracted from her previous depth:
Final depth below sea level = Initial depth below sea level - Distance traveled upward
Final depth below sea level = 428.4 feet - 212.8 feet
Final depth below sea level = 215.6 feet
Therefore, the scientist is 215.6 feet below sea level at this point.
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solve the simultaneous equation F-2g+3=2f-39+2=1
The value of f is 19 and the value of g is 10.5 after solving the simultaneous equation, f-2g+3=2f-39+2=1 .
According to the question,
We have the following equation:
f-2g+3=2f-39+2=1
Now, we will equate both these equations to 1:
f-2g+3 = 1
Subtracting 3 from both sides:
f-2g = 1-3
f-2g = -2 ..(1)
2f-39+2 = 1
2f -37 = 1
Adding 37 to both sides:
2f = 1+37
2f = 38
Dividing by 2 on both sides:
f = 38/2
f = 19
Putting this value of f in equation 1:
f-2g = -2
19-2g = -2
-2g = -2-19
-2g = -21
g = 21/2
g = 10.5
Hence, the value of f is 19 and the value of g is 10.5 after solving the simultaneous equation, f-2g+3=2f-39+2=1.
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Part 1
Assume that adults have IQ scores that are normally distributed with a mean of 96.7 and a standard deviation of 17.5. Find the probability that a randomly selected adult has an IQ greater than 130.0. (Hint: Draw a graph.)
The probability that a randomly selected adult has an IQ greater than 130.0 is 2. 87 %.
How to find the probability ?Convert the IQ score of 130 to a z - score by the formula :
z = ( x - μ ) / σ
Where:
x is the IQ score
μ is the mean
σ is the standard deviation
The z - score is :
= ( 130.0 - 96.7 ) / 17.5
= 1.898
The probability that a randomly selected adult has an IQ greater than 130.0, using the standard normal distribution and z - score, would be :
= 1 - P( z ≤ 1. 898 )
= 1 - 0. 9713
= 0. 0287
= 2. 87 %
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To create an expression for income, a company multiplies the number of items they sell by the price of each item. If the income can be represented by the expression -0.5x2+8x, and the price per item is represented by x, which of the following expressions will represent the number of items sold.
18x
1: 8x
2:-0.5x2 + 8
3:-0.5x2 + 8x
4:-0.5x+8
The expression that will represent the number of items sold is 4. 0.5x+8
What is an expression?An expression is used to illustrate the relationship between the variables that are given.
In this case, the income can be represented by the expression is 0.5x² + 8x.
The items sold will be:
= Total income / x
= (0.5x² + 8x) / x
= 0.5x + 8
In conclusion, the correct option is 4.
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Suppose Juan places $6000 in an account that pays 12% interest compounded each year.Assume that no withdrawals are made from the account.Follow the instructions below. Do not do any rounding.(a) Find the amount in the account at the end of 1 year.(b) Find the amount in the account at the end of 2 years.su
1) Since this investment has been in an account with 12% compound interest per year, then we can write out the following:
a) Note that there was no withdrawal during this first year.
\(\begin{gathered} F=P(1+\frac{r}{n})^{nt} \\ F=6000(1+\frac{0.12}{1})^{1\cdot1} \\ F=6000(1.12)^1 \\ F=6720 \end{gathered}\)b) To find out the amount of money over a course of this time 2 years, then we can write out the following:
\(\begin{gathered} F=P(1+\frac{r}{n})^{nt} \\ F=6000(1+\frac{0.12}{1})^{1\cdot2} \\ F=7526.4 \end{gathered}\)In this case, it is also compounded per year. Just the period (t) is greater than the other one.
So, we can tell the following about the earnings of this investment:
\(a)\$6720,b)\$7526.40\)air is blown into a spherical balloon so that, when its radius is 5.20 cm, its radius is increasing at the rate 0.840 cm/s. (a) find the rate at which the volume of the balloon is increasing. cm3/s (b) if this volume flow rate of air entering the balloon is constant, at what rate will the radius be increasing when the radius is 13.90 cm? cm/s (c) explain physically why the answer to part (b) is larger or smaller than 0.840 cm/s, if it is different.
The rate of increase in the radius is larger because, as the radius increases, the rate of change in the volume increases as well.
(a) The rate at which the volume of the balloon is increasing can be found by using the formula for the volume of a sphere: V = (4/3)πr3. Differentiating this with respect to time gives the rate at which the volume is increasing: dV/dt = 4πr2(dr/dt). When r = 5.20 cm and dr/dt = 0.840 cm/s, the rate at which the volume is increasing is 4π(5.20 cm)2(0.840 cm/s) = 4.15 cm3/s.
(b) When the radius is 13.90 cm, the rate at which the volume is increasing is 4π(13.90 cm)2(dr/dt). For this rate to remain constant, dr/dt must increase. Thus, the rate at which the radius is increasing must be larger than 0.840 cm/s.
(c) Physically, this is because the rate of change in the volume of the balloon increases as the radius increases. As the radius increases, the surface area of the balloon increases, allowing more air to enter the balloon. Thus, in order to maintain a constant volume rate, the rate of increase in the radius must also increase.
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-5/4 divided by 6/9=? whats the answer?
Answer:
Step-by-step explanation:
!!
The error is in the middle: 2(-12) = -24 not 24.
Answer:
There is no question so I can not respond with a answer.
Step-by-step explanation: