In roughly 127 hours the prices of the two stocks will be the same.
What do we mean by equations?A mathematical equation is a statement that uses the symbol 'equal to' to connect two expressions with equal values. 3x + 5 = 15, for example. Equations are classified into linear, quadratic, cubic, and other types.So, if we count the hours (x) after 9 a.m., the stock prices will be:
A = $15.97 + $0.11xB = $16.72 - $0.15(x - 3)The value of x when A = B can be calculated using:
A = B
$15.97 + $0.11x = $16.72 - $0.15(x - 3)$15.97 + $0.11x = $16.72 - 0.15x + 0.45$0.11x + 0.15x = $16.72 + 0.45 - $15.97$0.26x = $33.14x = 33.14/0.26= 127.4615384615385Rounding off: 127Therefore, in 127 hours roughly the prices of the two stocks will be the same.
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Harriet and Maya share £300 in the ratio of 7:5. Wirk out how much money harriet gets
Answer:
$175
Step-by-step explanation:
you need to specify if harriet got the 7 portion or the 5 portion. I'll answer as if she got the 7 portion.
They split it into 12 portions because the ratio is 7:5 and 7+5=12. So do $300/12=25
Assuming Maya got the 5 portion, do $25 x 5 = $125, so Maya got $125.
Assuming Harriet got the 7 portion, do $25 x 7 = $175, so Harriet got $175.
assume that a procedure yields a geometric distribution where the probability of success is 90%. use the geometric probability formula to find the probability that the first success occurs on the second trial.
0%
4%
5%
9%
The final answer is 9 percent
26 out of 65 as a percentage
How would you do that without a calculator?
Answer:
40%
Step-by-step explanation:
you would first simply the fraction down
13 goes into both numbers so the fraction can be simplified to
2/5 which is think is simply enough to know that 2/5 is 40% but if not the explanation would be
100÷5 =20
20 x by the 2 from the fraction
= 40%
Step-by-step explanation:
65 = 100%
0.65 = 1%
26 = x%
x = (26 ÷ 0.65)%
x = 40%
--------------------------FOLLOW MECan someone help me with this math homework please!
Answer:
2nd option
{(-8, -2), (-4, 1), (0, -2), (2, 3), (4, -4)}
Step-by-step explanation:
For a function to exist, every value of input must have exactly one value of output.
The rest of the relations(1, 3, and 4) have 2 outputs for 1 input so they dont make a function.
Answer:
(B)
Step-by-step explanation:
If you noticed, all the other input values have one input value that has two output values. This doesn't represent a function. Only (B) has one output for each input.
Hope that helps (●'◡'●)
An equation is shown.
– 4/5 (9 x – 20) – 3 x = 4/5 x – 6
Choose the value of x that makes this equation true.
Answer:
x=2
Step-by-step explanation:
Two cards are selected at random Of a deck of 20 cards ranging from 1 to 5 with monkeys, frogs, lions, and birds on them all numbered 1 through 5 . Determine the probability of the following� a) with replacement.� b) without replacement.The first shows a 2, and the second shows a 4
(a) The probability of the with replacement is 3/80.
(b) The probability of the without replacement is 15/380.
Two cards are selected at random Of a deck of 20 cards ranging from 1 to 5 with monkeys, frogs, lions, and birds on them all numbered 1 through 5 .
a) with replacement.
5/20 * 3/20 = 3/80.
b) without replacement.
5/20 3/19 = 15/380.
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The
square below is the image of a square that was dilated by a scale factor of 1. Find
the area of the preimage, the original square, before its dilation. Figures are not
necessarily drawn to scale.
11
Answer:
I'm not really sure what you're asking because there's no image.
Step-by-step explanation:
please try to reword it and maybe show a picture .
You invested 12,000 in an account at 2.3% compounded monthly. How long will it take you to get to 20000
It will take 22 years and 3 months to get the present value of $12,000 invested at 2.3% compounded monthly to get to $20,000 (future value).
How the period is determined:The period that it will take the present value to reach a certain future value can be determined using an online finance calculator with the following parameters for periodic compounding.
I/Y (Interest per year) = 2.3%
PV (Present Value) = $12,000
PMT (Periodic Payment) = $0
FV (Future Value) = $20,000
Results:
N = 266.773
266.73 months = 22 years and 3 months (266.73 ÷ 12)
Total Interest = $8,000.00
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The diameter of a circle is 12.8 meters. What is the circle's circumference?
Answer:
40.21 m is the circle's cirumference.
here is concern that regular customers will find out about the special order, and in order to retain all of the x company's regular customers, the regular selling price would have to be reduced by $0.32. if the selling price were reduced and next year's unit sales turn out to be the same as this year's sales, firm profits would fall by
Profit fall in one year = 116.8$
What is profit?
In accounting, a profit is an income that is given to the owner throughout a successful market producing process. Profitability, which is the owner's primary interest in the income-formation process of market production, is measured by profit. There are several profit metrics that are frequently used.
Let cost price = C
And selling price before reducing = S
Profit for 1 day = S-C
Now, After reducing selling price to = S-0.32
Profit= S - 0.32 - C for 1 day
Profit fall by = (S-C)-(S - 0.32 - C)
= S - C - S + 0.32 + C
Profit fall by = 0.32 for 1 day
Profit fall by one year = 0.32×365
= 116.8$
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can you guys help me?? I’m still learning this topic and I can’t do it
Answer:
15
Step-by-step explanation:
Because the first house is 5 toothpicks and the rest are all 4 toothpicks
14*4=56 (the amount of the houses that are 4 toothpicks)
56+5=61 (The house that is 5 toothpicks)
Guys I need help on this question on my assignment. Could one of you please help me? BRAINIEST if correct.
So Matthew has 16 pairs of nikes. He buys 2 additional pair of nikes every month. What is the slope in this problem?
Answer:
32
Step-by-step explanation:
Answer: 2 is the correct answer
Step-by-step explanation:
2. Determine the points of intersection of each pair of functions. a) y = 4x^– 15x + 20 and y = 5x – 4 = - - b) y = - 2x^ + 9x +9 and y = - 3x – 5
To determine the points of intersection we first equate the expressions, then we solve for x. Once we have the values of x for which the functions are equal we plu them on one of the function to find its corresponding value of y.
a)
Let's equate the functions and solve for x:
\(\begin{gathered} 4x^2-15x+20=5x-4 \\ 4x^2-15x-5x+20+4=0 \\ 4x^2-20x+24=0 \\ 4(x^2-5x+6)=0 \\ x^2-5x+6=0 \\ (x-3)(x-2)=0 \\ \text{ then} \\ x=3 \\ or \\ x=2 \end{gathered}\)Now we find the corresponding values of y for each value of x; to do this we use the second equation.
When x=3:
\(\begin{gathered} y=5(3)-4 \\ y=15-4 \\ y=11 \end{gathered}\)Hence the functions intersect at (3,11)
When x=2:
\(\begin{gathered} y=5(2)-4 \\ y=10-4 \\ y=6 \end{gathered}\)Hence the functions intersect at (2,6)
Therefore the function intersect at the points (3,11) and (2,6).
b)
Let's equate the functions and solve for x:
\(\begin{gathered} -2x^2+9x+9=-3x-5 \\ 2x^2-9x-9-3x-5=0 \\ 2x^2-12x-14=0 \\ 2(x^2-6x-7)=0 \\ x^2-6x-7=0 \\ (x-7)(x+1)=0 \\ \text{ then} \\ x=7 \\ or \\ x=-1 \end{gathered}\)Now we find the corresponding values of y for each value of x; to do this we use the second equation.
When x=7:
\(\begin{gathered} y=-3(7)-5 \\ y=-21-5 \\ y=-26 \end{gathered}\)Hence the functions intersect at (7,-26)
When x=-1:
\(\begin{gathered} y=-3(-1)-5 \\ y=3-5 \\ y=-2 \end{gathered}\)Hence the functions intersect at (-1,-2)
Therefore the function intersect at the points (7,-26) and (-1,-2).
F G Name a pair of overlapping congruent triangles in the diagram. State whether the triangles are congruent by SSS, SAS, ASA, AAS, or HL. I H AFHS AGHI by SAS. AFIH S AHGI by SAS. AFIH = AGHI by SSS AFIH AGHI by HL.
In the two triangles FIH and GHI
IH is a common side
FI = GH
\(m\angle I=m\angle H=90\)The angles are between the equal sides
Then the two triangles are congruent by SAS postulate
The answer is A
I need help!!!pls !!!!
Answer:
3/8 for the second question
Step-by-step explanation:
number of shaded portion on total number
the slide part of a water slide is 89 feet long and makes a 42 angle of depression with the ground, how high up in the air do you start your ride?
In a case whereby the slide part of a water slide is 89 feet long and makes a 42 angle of depression with the ground, the lenght or how high up in the air is 73.6 feet
How can the height ber calculated?We know that the length of the slide AB is 89 feet, and the angle of depression from A to B is 42 degrees. We want to find the height h of point A above the ground.
The tangent of an angle is defined as the ratio of the opposite side to the adjacent side. In this case, the opposite side is h (the height we're looking for), and the adjacent side is AB (the length of the slide). So we can write base on trigonometery as ;
tan(42) = h / 89
h = 89 * tan(42)
h ≈ 73.6 feet
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RANDOM VARIABLES, PROBABILITY DISTRIBUTIONS AND EXPECTED VALUE A random variable X has the following probability distribution: What is P(X>4) ? Write your answer as a decimal.
The answer would be a commulative probability. It would be the sum of the probability of the results greater than 4. From the table, the P(X) of X=5 and X=6 are both 0.1. We just need to add these values:
P(X>4) = P(5) + P(6) = 0.1 + 0.1 = 0.2
Answer: P(X>4) = 0.2
You have a biased coin for which P(H)=p. You toss the coin 20 times. What is the probability that you observe 8 heads and 12 tails? sigma_k=0^8 (20 k) p^k (1 - p)^20-k (20 13) p^12 (1 - p)^8 (1 - p)^7 p (20 8) p^8 (1 - p)^12
The probability that you observe 8 heads and 12 tails is 125970 × \(p^8\) × \((1-p)^{12}\).
To find the probability of observing 8 heads and 12 tails when tossing a biased coin with P(H)=p, we use the binomial distribution formula:
P(X=k) = (\(^{n}C_k\)) × \(p^k\) × \((1-p)^{(n-k)}\)
where n=20, k=8, and p is the probability of getting heads.
So, substituting the values, we get:
P(X=8) = (\(^{20}C_8\)) × \(p^8\) × \((1-p)^{(20-8)}\)
To simplify this expression, we can use the fact that (n choose k) = n! / (k! × (n-k)!), where ! denotes the factorial function.
So, we can write:
P(X=8) = (20! / (8! × 12!)) × \(p^8\) × \((1-p)^{12}\) = 125970 × \(p^8\) × \((1-p)^{12}\)
Finally, we can evaluate this expression for a given value of p to obtain the probability of observing 8 heads and 12 tails.
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Which is the slope-intercept form of the equation of the line with a slope
of 2 and a y-intercept of 5?
Oy-5=2(x-0)
Oy=2x-2
O y = 2x+5
Oy-0=2(x - 5)
a 12 cm tall and radius of 10 cm cylinder is filled with 10 cm of water. find a) the rotational speed at which the water just touches the bottom of the cylinder and b) the resulting pressure at points a and b.
a 12 cm tall and radius of 10 cm cylinder is filled with 10 cm of water.
a) Rotational speed at which the water just touches the bottom of the cylinder:
We will use the formula for centripetal force for a liquid with the volume of a cylinder to obtain the rotational speed at which the water just touches the bottom of the cylinder.
The formula for centripetal force for a liquid with the volume of a cylinder is as follows:
F = (ρr²πh)ω²WhereF:
Centripetal forceρ: Densityr: Radiush : Heightω: Rotational speed Substituting the given values,
we get: F = (1000 kg/m³ × (0.1m)² × π × 0.12m)ω²F
= 377 Nω
= √(F/m)ω
= √(377 N/ 10 kg)ω
= √37.7ω = 6.14 rad/sb)
Pressure at points A and B:
We will use the formula for hydrostatic pressure for a liquid to calculate the pressure at points A and B. The formula for hydrostatic pressure for a liquid is as follows:
P = ρgh
Where,
P: Pressureρ: Densityg: Acceleration due to gravity: DepthSubstituting the given values for point A,
we get P = 1000 kg/m³ × 9.8 m/s² × 0.1 mP
= 980 Pa
Substituting the given values for point B,
we get P = 1000 kg/m³ × 9.8 m/s² × 0.22 mP
= 2156 Pa
The resulting pressure at point A is 980 Pa and the resulting pressure at point B is 2156 Pa.
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convert grams per cubic centimeter to kilograms per cubic meter
Grams per cubic centimeter to kilograms per cubic meter is 1000.
1 g/cm³ = 1000 kg/m³
The conversion value:
1 gram = 1/1000 kg
1 cm³ = 1/1000000 m³
Find the conversion from grams per cubic centimeter to kilograms per cubic meter!
Grams per cubic centimeter = g/cm³
Kilograms per cubic meter = kg/m³
Multiply the number with the each conversion value!
See that the cubic centimeter is as a denominator. So, we reverse the fractional value.
1 g/cm³
= 1 × 1/1000 × 1000000/1 kg/m³
= 1000 kg/m³
Hence, the conversion value from grams per cubic centimeter to kilograms per cubic meter is 1000.
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If (2x + 3y)^2 = 4 and xy = -5, what is the value of 4x^2 + 9y^2?
Step-by-step explanation:
Answer: 4 - 12(-5) = 64.
true/false. because of the periodic properties of shm, the mathematical equations that describe this motion involve sine and cosine functions. for example, if the block is released at a distance a from its equilibrium position, its displacement x varies with time t according to the equation
True. The mathematical equations that describe simple harmonic motion (SHM) involve sine and cosine functions. For example, if the block is released at a distance from its equilibrium position, its displacement x varies with time t according to the equation x = a cos(ωt), where ω is the angular frequency of the motion.
True. Due to the periodic properties of Simple Harmonic Motion (SHM), the mathematical equations that describe this motion involve sine and cosine functions. If the block is released at a distance A from its equilibrium position, its displacement x varies with time t according to the equation:
x(t) = A * cos(ωt + φ)
where A is the amplitude, ω is the angular frequency, t is time, and φ is the phase angle. Both sine and cosine functions are used to describe the displacement, velocity, and acceleration of an object in SHM because of their periodic nature.
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If Ann is traveling at 120 km/hr, what
distance does she travel in 10 minutes?
Answer:
20 km
Step-by-step explanation:
120 km an hour = 120 km in 60 minutes
120 = 60
x = 10
120/60 = 2
10*2 = 20
Answer:
20 km.
Step-by-step explanation:
120 km per hour.
An hour is 60 minutes.
To get from 60 to 10, divide 6.
Likewise, to find the distance travelled in 10 minutes, divide 120 by 6.
\(\frac{120}{6}= 20\)
Therefore, Ann travels 20 km in 10 minutes.
I’m stuck please help.
Answer:
Step-by-step explanation:
PS =5 because PS's line is parallel to 5 the line.
So now all that is left is the angle one
m∠Q =105° we can come to this conclusion because 105° is parallel to m∠Q
If you are still confused please, let me know! :)
Write the equation of this line in y= mx + b form
Answer:
y = 2/3x - 1
Step-by-step explanation:
that should be correct, hope this helps!
y = 2/3x - 1
hope this helps,, have a nice day :))
Suppose sin(A) = 1/4. Use the trig identity sin^2(A) + cos^2(A) = 1 to find cos(A) in quadrant 2. Round to ten-thousandth.
Using the given trigonometric identity, the cosine of the angle in the second quadrant is given by:
cos(A) = 0.9682.
What is the cosine of angle A?The cosine and the sine of the angle are related according to the following relation:
sin²(A) + cos²(A) = 1.
Hence, knowing the sine of the angle, as we do in this problem, we can find the cosine of the same angle solving the above equality.
The value of the sine of angle A is given by:
sin(A) = 1/4.
Hence the equation can be solved for the cosine as follows:
cos²(A) = 1 - sin²(A)
cos²(A) = 1 - (1/4)²
cos²(A) = 1 - (1/16)
cos²(A) = (16/16) - (1/16)
cos²(A) = 15/16
The inverse of the square is the square root, hence:
cos(A) = ± sqrt(15/16)
In the second quadrant, the cosine is negative, hence:
cos(A) = -sqrt(15/16)
cos(A) = -0.9682.
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in utah, if not directly involved in diving activity, motorized vessels and personal watercraft (pwcs) must remain what distance from diver down flags?
In Utah, if not directly involved in diving activity, motorized vessels and personal watercraft (PWCs) must remain 150 feet from the diver down flags.
The diver down flag is a banner that is used by vessels to indicate that divers are in the water. It is typically a red flag with a white diagonal stripe that is used to indicate the presence of divers in the water. The flag must be at least 12 x 12 inches in size and must be clearly visible from all directions. When the flag is raised, boaters are expected to keep a safe distance from the divers and to take extra precautions to ensure that they do not pose a hazard to the divers.The diver down flag should be used whenever there are divers in the water. This includes scuba divers, free divers, and anyone else who is swimming or diving underwater. The flag should be raised before the divers enter the water and should be lowered when they exit the water. In addition to the flag, divers are required to use other means of indicating their presence in the water, such as lights and audible signals, to ensure that boaters can see and hear them. Motorized vessels and personal watercraft (PWCs) must remain at least 150 feet from the diver-down flag. This means that they must keep a safe distance from the divers and take extra precautions to ensure that they do not pose a hazard to the divers. If a motorized vessel or PWC is directly involved in the diving activity, such as transporting divers to and from the dive site, they may operate closer to the flag, but they must still maintain a safe distance from the divers at all times.
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If you are given the hypotenuse and an adjacent
side, which trig function should you use?
Answer:
cosine
Step-by-step explanation:
Answer:
cosine
Step-by-step explanation:
cosine = adjacent / hypotenuse
A state university has an annual tuition of $12,000. Bradley would like to attend this university and will save money each month for the next 4 years. His grandparents will give him $2,800 for his first year of tuition. Which plan shows the minimum amount of money Bradley must save to have enough money to pay for his first year of tuition?
Answer:
$767 per month for the next 4 years
Step-by-step explanation
first it’s minus the 2800 they gave him and that’s 9,200 then divided by the amount of months in a year which is 12 you end up with 766.6 but rounded that would be the closest answer and then when you multiply 767x12 it’s 9200 plus the 2800 it’s 12,000 which means it checks out.