Ryanne is 14. Her brothers age is three more than half or her age. How old is her brother?
Answers
Answer:
10
Step-by-step explanation:
14 divided by 2 = 7 + 3 = 10
Answer:
3.5
Step-by-step explanation:
am not that sure but try that
Related Questions
Rewrite the expression in nonradical form without using absolute values for the indicated values of theta.
1 − cos2 (theta)
; 2.5 < theta < 3
Answers
To rewrite the expression 1 - cos^2(theta) without using absolute values for the given values of theta (2.5 < theta < 3), we can utilize the trigonometric identity for cosine squared:
cos^2(theta) = 1 - sin^2(theta)
Now, let's substitute this identity into the expression:
1 - cos^2(theta) = 1 - (1 - sin^2(theta))
= 1 - 1 + sin^2(theta)
= sin^2(theta)
Therefore, for the given range of theta (2.5 < theta < 3), the expression 1 - cos^2(theta) is equivalent to sin^2(theta).
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college. Payments will begin in exactly 18 years and will be made in four installments on the child’s 18th, 19th, 20th, and 21st birthdays at the beginning of the 1st, 2nd, 3rd, and 4th years of undergraduate studies. It is estimated that the cost of the child’s education will be $80,000 per year. Assume the interest rate to be 5%.
Use the timeline method to solve this
What is the total amount needed to be saved to meet the cost at 18 years? .
Answers
The total amount needed to be saved to meet the cost at 18 years is $235,531.75.
To calculate the total amount needed to be saved, we can use the timeline method. We know that the payments will begin in exactly 18 years and will be made in four installments on the child's 18th, 19th, 20th, and 21st birthdays. We also know that the cost of the child's education will be $80,000 per year.
Calculate the future value of each installment.Using the future value formula, FV = PV * \((1 + r)^n\), where FV is the future value, PV is the present value, r is the interest rate, and n is the number of periods, we can calculate the future value of each installment:
FV1 = $80,000 *\((1 + 0.05)^0\) = $80,000
FV2 = $80,000 * \((1 + 0.05)^1\) = $84,000
FV3 = $80,000 * \((1 + 0.05)^2\) = $88,200
FV4 = $80,000 * \((1 + 0.05)^3\)= $92,610
Calculate the total amount needed.The total amount needed is the sum of the future values of all installments:
Total amount = FV1 + FV2 + FV3 + FV4
Total amount = $80,000 + $84,000 + $88,200 + $92,610
Total amount = $344,810
Adjust for the time value of money.Since the total amount needed is in the future, we need to adjust it to its present value. We can use the present value formula, PV = FV / \((1 + r)^n\), to calculate the present value:
PV = $344,810 / \((1 + 0.05)^1^8\)
PV = $235,531.75
Therefore, the total amount needed to be saved to meet the cost at 18 years is $235,531.75.
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At which root does the graph of f x x 5 3 * x 2 2 touch the X axis?
Answers
The root of the graph of f(x) =(x - 5)3(x + 2)2 touches the x-axis at -2,5
(x - 5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis.
(x + 2)^2 has a power of 2 which is an EVEN number. An EVEN power means that the graph will touch the x-axis.
Given: Function f(x) is (x - 5)3(x + 2)2
If a curve touches the x-axis then f(x) = 0
⇒ (x - 5)3(x + 2)2 = 0.
But if ab = 0 ⇒ either a = 0 or b = 0 or both zero.
⇒ (x - 5)3 = 0 and (x + 2)2 = 0
⇒ (x - 5) = 0 and x + 2 = 0
⇒ x = 5 and x = - 2.
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Which division problems below have the same quotient as –27 ÷ 9? Check all that apply.
3 ÷ 1
18 ÷ (–6)
–6 ÷ –2
27 ÷ (–9)
–15 ÷ –5
–9 ÷ 3
Answers
Answer:
B D F
Step-by-step explanation:
I am just here to clarify.
Answer:
Probaly isnt usefull anymore but to whoever still needs to know its B, D, F or 18 ÷ (–6), 27 ÷ (–9), and –9 ÷ 3
Step-by-step explanation:
Helpp I only have 1 min
Answers
22/2 11
Choice A
Write a function in terms of t that represents the situation.
A $900 sound system decreases in value by 9% each year.
y=
Answers
Answer:
y = 900(0.91^t)
Step-by-step explanation:
You want a function that describes the value of a $900 sound system that decreases in value by 9% per year.
Exponential functionWhen the amount of change is proportional to the amount, the amount is described by an exponential function:
y = ab^x
where 'a' is the initial value, and 'b' is the "growth factor."
ApplicationHere, the change is expressed as a "growth rate" of -9% per year. The growth factor is 1 added to the growth rate:
b = 1 +(-9%) = 1 -0.09 = 0.91
The initial value is given as ...
a = 900
So the function you want is ...
y = 900(0.91^t)
__
Additional comment
The independent variable in this case is time, and the problem statement tells you to use 't' to represent it. The decay rate is given as a percentage per year, so the units of t will be years.
Do not include anything other than numbers in your responses. For example, do not include comma or dollar sign in your numbers. As a rule of thumb, keep 2 decimal places for larger numbers and 3 decimal places for smaller numbers less than 1. A supermarket bakery must decide how many birthday cakes to prepare for the upcoming weekend. Cakes cost $59 each to make, and they sell for $85 each. Unsold cakes are sold at $29.5 on Monday, and typically all the remaining cakes are sold at that price on Monday. Demand is normally distributed the mand standard deviation of 24.6. Determine the followings: Cost of Shortage (Cs): Cost of Excess (Ce): What is the optimal service level? What is the corresponding z value? What is the optimal number of birthday cakes to make for the weekend?
Answers
To calculate the cost of shortage (Cs), we need to find the area under the normal distribution curve to the left of the optimal service level. The cost of shortage is the difference between the selling price and the Monday price, multiplied by the probability of shortage.
To calculate the cost of excess (Ce), we find the area under the normal distribution curve to the right of the optimal service level. The cost of excess is the difference between the cost of making the cake and the selling price, multiplied by the probability of excess. The optimal service level is determined by minimizing the total cost, which is the sum of the cost of shortage and the cost of excess. We can find the corresponding z value for the optimal service level using the standard normal distribution table. Once we have the optimal service level (z value), we can find the corresponding demand value. Since demand is normally distributed, we can calculate the optimal number of birthday cakes to make for the weekend by subtracting the expected demand from the optimal service level demand. However, without specific information on the desired service level or target level of shortage/excess, it is not possible to provide numerical answers to the questions. The optimal service level, corresponding z value, and the optimal number of cakes will depend on the specific parameters and objectives of the supermarket bakery.
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NOW PLS ITS IN CLASS RN HELP AHH PRE-PRE ALGEBRA
Answers
Answer:
-13,-7,-3,0,3
-9,-4,-6,3,8
Step-by-step explanation:
Answer:
A) -13, -7, -3, 0, 3 B) -100, -99, -8, -25/3, -2
Step-by-step explanation:
3)Ordered from least to greatest is: -13, -7, -3, 0, 3
(The higher the negative the "smaller" it is)
4) -100, -99, -8, -25/3, -2
These numbers are listed in order from least to greatest with the error being -25/3. This equals -8.333 and should be in front of the -8 because it is a lesser value. The correct order would be: -100, -99, -25/3, -8, -2 but your answer asks for one error so use the numbers above.
what is the value of x?
Answers
Answer:
x=48
Step-by-step explanation:
the sum of all the angles in a triangle is 180
so 180-47-85=48 which is x
48 is the answer what you do is 85 + 47 = 132 then you do 180 - 132 = 48. If you don't understand where I got 180 from, then I'll go into more detail, all angles are supposed to equal 180 so if you want to check your work you do 85 + 47 + 48 = 180!! Glad I could help!! (:
X=48
Radio signals travel at a rate of 3x10^8 meters per second how many seconds would it take for a radio signal to travel from a satellite to the surface of the earth if the satellite is orbiting at a height of 3.6x10^7 meters
Answers
Answer:
1.2x10^-1 seconds
Step-by-step explanation:
Answer:
0.12 seconds
Step-by-step explanation:
just think - how long does it take you to travel for example 30 km, if you are going 60 km/h ?
you have to divide 30 by 60 and get 0.5 or 1/2. meaning it takes you (logically) 30 minutes or half an hour to do so.
it is the same principle for all these kinds of questions.
we only need to keep an eye on the dimension of what we are talking about. is it hours or seconds ? meters or kilometers ? and do in
we need here to focus on seconds and to calculate
3.6×10⁷ / 3×10⁸ = 3.6 / 3×10¹ = 1.2 / 10 = 0.12 seconds
or
\(1.2 \times {10}^{ - 1} \)
seconds
In a circle, an angle measuring 8.9 radians intercepts an arc of length 42.2. Find the
radius of the circle to the nearest 10th.
Answers
The radius of the circle, to the nearest tenth, is approximately 4.8 units. An angle measuring 8.9 radians intercepts an arc of length 42.2 units.
To find the radius of the circle, we can use the formula relating the angle, arc length, and radius in a circle. The formula is:
Arc length = radius × angle
In this case, we are given that the angle measures 8.9 radians and the arc length is 42.2 units. Plugging these values into the formula, we get:
42.2 = radius × 8.9
To find the radius, we can isolate it by dividing both sides of the equation by 8.9:
radius = 42.2 / 8.9 ≈ 4.74
Rounding to the nearest tenth, the radius of the circle is approximately 4.8 units.
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There are four black kittens and two orange kittens how does the number of black kittens compare to the total number of kittens in the litter? Write a comparison beginning with “for every.”
Plz help me
Answers
Answer:
For every orange kitten, there are two black kittens. I hope this helps.
Step-by-step explanation:
Please help! Due tonight!
Answers
Answer:
x = square root of 119
Step-by-step explanation:
Because it is only a little bigger than the side it opposes
a = 5, b = ?, c = 12
(5)^2 + b^2 = (12)^2
25 + b^2 = 144
B^2 = 119
Square root of 119
The answer is D
What is the area of the trapezoid
Answers
The area of the Trapezium given in the question is 28ft²
The area of a trapezium is calculated using the relation :
Area = h/2(b1 + b2)Using the parameters given for our compuation:
height, h = 4
b1 = 9
b2 = 5
Inputting the parameters into our formula :
Area = 4/2(5 + 9)
Area = 2(14)
Area = 28ft²
Therefore, the area of the Trapezium is 28ft²
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What is the diameter of a circle with a radius of 497^2?
Answers
Answer:
494018
Step-by-step explanation:
you are trying to find the diameter of the circle, it is usually half the length of a radius, but since 497 squared is how long a radius is (unless the question asked that the area if 497 inches squared), i can't really give you a clear answer, but the diameter is 247009 times 2 which is 494018
If 837 is 13. 5% of an amount. What is the original amount?
Answers
The original amount is 6200, which is obtained by dividing 837 by 0.135.
To find the original amount, we can use the formula for finding the percentage of a number
percentage = (part / whole) x 100%
where "part" is the given number (837 in this case), "percentage" is the given percentage (13.5%), and "whole" is the original amount we are trying to find.
Let's plug in the given values and solve for "whole"
13.5% = (837 / whole) x 100%
Divide both sides by 100% to get
0.135 = 837 / whole
Multiply both sides by "whole" to get
0.135 x whole = 837
Divide both sides by 0.135 to get
whole = 837 / 0.135
Simplifying, we get
whole = 6200
Therefore, the original amount is 6200.
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What does Solving a system by Substitution mean?
Answers
cindy and tom, working together, can rake the yard in 8 hours. working alone, tom takes twice as long as cindy. how many hours does it take cindy to rake the yard alone?
Answers
Cindy and tom, working together, can rake the yard in 8 hours. Working alone, Tom takes twice as long as Cindy, it takes Cindy to rake the yard 2 hours
How do we calculate the time it takes Cindy?To find the time it takes Cindy to rake the yard alone, let's use the following steps:Let x be the time taken by Cindy to rake the yard alone . Then the time taken by Tom to rake the yard alone will be 2xIt is given that Cindy and Tom can rake the yard in 8 hours when they work together.
Using the formula for working together, we get:\(\[\frac{1}{x} + \frac{1}{2x} = \frac{1}{8}\]\) Multiplying the equation by the least common multiple of the denominators, we get:\(\[16 + 8 = 2x\]\) Simplifying, we get:\(\[2x = 24\]\)Dividing both sides by 2, we get:\(\[x = 12\]\)Therefore, it takes Cindy 12 hours to rake the yard alone.
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"a comparison of nine confidence intervals for a poisson parameter when the expected number of events is ≤ 5,
Answers
The exact interval for researchers who want real coverage that is at least nominal and a modified version of the variance stabilized interval for those who are OK with approximative coverage.
Let \({ X_{i} }^{n} _{i = 1}\) be a group of independent variables with Poisson distribution and the same distribution. Confidence intervals for can be created using a variety of methods, including the Wald method, precise inference, a variance stabilizing transformation, and many others. Actual and nominal coverage can differ significantly when n is small. For a Poisson mean, we compare nine confidence intervals in terms of coverage and expected width of the confidence bounds. We demonstrate that, for small n, only the exact interval maintains coverage probabilities; the scores interval maintains coverage probabilities roughly, but its expected width is greater than that of the exact interval.A modified confidence interval based on the variance stabilized confidence interval has coverage properties close to the nominal and an expected width that is not particularly large. Therefore, we advise using the exact interval for researchers who want real coverage that is at least nominal and a modified version of the variance stabilized interval for those who are OK with approximative coverage.
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Cual es elvalor absoluto del opuesto de 2,5 ?
Answers
Answer:|2.5|
Step-by-step explanation:
En este caso el valor absoluto de 0 a |2.5| es 2.5. Esto se debe a que ya sea que cambies la ecuación o no para que sea igual a otro número, la respuesta SIEMPRE será 2.5. ¡Espero que esto haya ayudado! :D
3) Uranus has a diameter of 50724000 metres. Calculate the volume of Uranus in m³,
giving your answer in standard form to 3 decimal places.
Note that the formula for volume of a sphere is V=r^3 where r is radius.
12
[1]
Answers
The volume of Uranus having a diameter of 50724000 m is 6.829 x 1022 m3.
What is meant by volume?Volume is defined as the quantity of the three-dimensional space occupied by a closed three-dimensional figure. In the case of any object, volume is measured in cubic units. In cases of solid objects, their volume is measured in cubic units of length, such as meters, centimeters, etc.
To calculate the volume of spherical objects, viz. for a planet (assuming it is an ideal sphere in shape), the following formula is applied:
Volume (V) = 4/3 π\(R^{3}\) cubic units
where R = radius and π = 3.14, a mathematical constant.
It is given that the diameter ( D ) of Uranus = 50724000 m.
Therefore radius ( R ) = D/ 2 = 50724000 m/ 2 = 25362000 m.
Therefore volume of planet Uranus = 4/3 π\(R^{3}\).
Substituting π by 3.14 and R by 25362000m, we get
Volume = 6.829 x 1022 \(m^{3}\)
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Direction: Choose the letter of the best answer and we
on your ans
1) Given f(x) = 2x - 5 & g(x) = 3x +4, solve for (gof)(x).
C. 6x - 11
11 - 6
Answers
Answer:
C
Step-by-step explanation:
To find (g ￮ f)(x), substitute x = f(x) into g(x) , that is
g(2x - 5)
= 3(2x - 5) + 4
= 6x - 15 + 4
= 6x - 11 → C
A homeowner bought a homeowner's insurance policy. The homeowner pays an annual $650 premium for property coverage with a deductible is $1,175 for each claim. A windstorm causes $42,500 in damages. If a claim for the full amount of damages is approved, how much will the homeowner's insurance company pay for the damages?
$42,500
$41,325
$41,975
$40,825
Answers
Answer:
The homeowner’s insurance company will pay for the damages after the homeowner pays the deductible of $1,175 for each claim. Therefore, the amount that the homeowner’s insurance company will pay for the damages is $42,500 - $1,175 = $41,325.
I hope that helps! (´▽`ʃ♡ƪ)
Step-by-step explanation:
How many Dollars in 45 Billion won?
Answers
45 billion Korean Won is equal to 45 million US Dollars.
The formula for (USD) is USD = KRW / 1000. To calculate 45 billion won in USD, we must first convert KRW to USD. 45 billion KRW is equal to 45,000,000,000 KRW. Using the formula above, we can calculate the amount of USD:
USD = 45,000,000,000 KRW / 1000
USD = 45,000,000 USD
Therefore, 45 billion won is equal to 45 million US Dollars.
To better understand this conversion, it is important to remember that one US Dollar is equal to 1000 Korean Won. As an example, if you have 10,000 Korean Won, you can convert that to USD by dividing 10,000 by 1000, which equals 10 USD. The same concept applies when converting larger numbers. To convert 45 billion KRW to USD, we must divide 45,000,000,000 by 1000, which equals 45,000,000 USD.
In conclusion, 45 billion Korean Won is equal to 45 million US Dollars.
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Which descriptions match the given transformations?
Drag and drop the answers into the boxes.
Answers
show work what is the gcf of 12x^2 and 15x^3
Answers
Hey there! I'm happy to help!
The greatest common factor is the largest factor that both numbers contain. Let's look at the factors of these terms.
12x²: 1, 12, 2, 6, 3, 4, x, x
15x³: 1, 15, 3, 5, x, x ,x
We see that both of these numbers contain a 3 and 2 x's, so our GCF would be 3x².
Have a wonderful day!
if the odds on a bet are 16:1 against, what is the probability of winning? express your answer as a fraction.
Answers
The probability of winning is 1/17, which can also be expressed as a decimal (approximately 0.059) or as a percentage (approximately 5.9%).
The odds on a bet represent the ratio of the probability of winning to the probability of losing. In this case, the odds are 16:1 against winning, which means that the probability of winning is 1 out of 16.
To express this probability as a fraction, we can use the formula:
Probability of winning = 1 / (odds + 1)
Plugging in the given odds, we get:
Probability of winning = 1 / (16 + 1)
Probability of winning = 1/17
In this case, the odds of 16:1 against winning correspond to a probability of 1/17, which represents the chance of winning the bet.
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the temperature is -3 at 6am but it rises to 12 at the afternoon what is the temperature In the afternoon
Answers
Answer:
1cm divided by 17 = 32 then subtract the 32 into 17
solve for p: 3p-2=2p/5+p-2/3
Answers
Answer:
P = 0.83 or p= 5/6
At the local dairy farm, Kareem buys a 32-oz container of yogurt for $2.56. Jonah buys a 6-oz container of yogurt for $0.48. Are the cost, y, in dollars and the amount of yogurt, x, proportional? Explain. Write an equation to represent this relationship.
Answers
Answer:
Yes, the cost y in dollars and the amount of yogurt are proportional.
The equation is: y = 0.08x
Step-by-step explanation:
1. If y varies directly as x, you can write it as following: y = kx
Where k is the constant of proportionality.
2. Let's calculate the value of the constant of proportionality. If y = 2.56 and x = 32, you have:
y = kx
k = y/x
k = 2.56/32
k = 0.08
3. Then, the equation is: y = 0.08
4. Let's verify if they are directly proportional. Substitute which is the amount of yogurt bought by Jonah. The result must be $0,48:
y = 0.08 (6)
y = 0.48
5. They are directly proportional.