For the exponential expression, [tex]16^{1/4}[/tex] the simplified value is 2.
How to simplify the exponential expression?
First, we need to remember a rule for exponential expressions, it says that:
[tex]x^{1/n} = \sqrt[n]{x}[/tex]
Then we can rewrite the given exponential expression as:
[tex]16^{1/4} =\sqrt[4]{16}[/tex]
So, we just need to find a number that when multiplied by itself 4 times, is equal to 16.
We know that:
2*2 = 4
Then:
2*2*2*2 = 2⁴ = 4*4 = 16
Then we can conclude that:
[tex]16^{1/4} =\sqrt[4]{16} = 2[/tex]
So the simplified value of the exponential expression is 2.
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the heat generated by stove element varies directly as a square of the voltage and inversely as a resistance. If the voltage quadruples, what needs to be done to quadruple the amount of heat generated?
Answer:
resistance must quadruple
Step-by-step explanation:
You want to know the change in resistance required to quadruple the amount of heat if heat is proportional to the square of voltage, inversely proportional to resistance, and the voltage is quadrupled.
ResistanceLet H represent the heat generated for voltage V and resistance R. We want to find R, the new resistance required, when V is replaced by 4V, and H is replaced by 4H.
H = V²/R
4H = (4V)²/R'
4(V²/R) = 16V²/R'
R' = (16/4)R . . . . . . . multiply by RR'/(4V²)
R' = 4R
The resistance must quadruple if the amount of heat is to be quadrupled.
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write 615000 in scientific notation
Answer:
6.15 × 10⁵
Step-by-step explanation:
When converting a number of scientific notation, we need to move the decimal point until the number is greater than 1 and less than 10, then multiply this by 10 to the power of the number of places we moved the decimal point (negative when moving it forwards, positive when moving it backwards).
Therefore, 615000 = 6.15 × 10⁵
Use the the limit of sin of x all over x as x approaches 0 equals 1 to determine the limit of x times cosine of the quantity 5 times x all over sine of the quantity 5 times x as x approaches 0.
The limit of x times cosine of the quantity 5 times x all over sine of the quantity 5 times x as x approaches 0 is determined as ¹/₅.
Limit of the function
The limit of the function is determined as follows;
[tex]\lim_{x \to 0} \ \frac{sinx}{x} = 1\\\\ \lim_{x \to 0} \ \frac{x(cos5x)}{sin5x}[/tex]
The derivative of the function;
[tex]\frac{xcos(5x)}{sin5x} = \frac{-5x(sin(5x)) + cos(5x)}{5cos(5x)}\\\\= \frac{-5x(sin(5x))}{5cos(5x)} + \frac{cos(5x)}{5cos(5x)} \\\\ \lim_{x \to 0} \\\\= 0 + \frac{1}{5} = \frac{1}{5}[/tex]
Thus, the limit of x times cosine of the quantity 5 times x all over sine of the quantity 5 times x as x approaches 0 is determined as ¹/₅.
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( 100 points + brain ) My dropshipping business makes me 11,000$ - 40,000$ a month, At this rate how much money could I make in a year? how much money could I make in 20 years? how much money could I make in 60 years?
Answer:
One year: Between $132,000 and $480,000.
20 years: Between $2,640,000 and $9,600,000.
60 years: Between $7,920,000 and $28,800,000.
Step-by-step explanation:
If it makes between 11,000 and 40,000 a month, you should take both values and average them or make an estimate. Since there are 12 months in a year, 11,000*12 = $132,000 minimum, 40,000*12 = $480,000 maximum.
In 20 years, 132,000*20= $2,640,000 minimum, 480,000*20 = $9,600,000 maximum.
In 60 years, 2,640,000*3 = $7,920,000 minimum, 9,600,000*3 = $28,800,000 maximum.
If you want to be more specific, you need to find the average number of times you make certain amounts of money per month to find how likely it is to make a certain amount.
Answer:
taking my points back
Step-by-step explanation:
What is the distance between B to A
Please add the method.
The angle is 61 (a bit blurry)
Now
tan61=BH/OHtan61=BH/1980BH=1980tan61BH=3572(Rounded)AB
8+35723580Answer:
24.03 units (nearest hundredth)
Step-by-step explanation:
The distance between B and A is: AB = AH + HB
We have been given AH, so we just need to find the measure of HB.
First, find the angle AOH using tan trig ratio:
[tex]\sf \tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleGiven:
[tex]\theta[/tex] = ∠AOHO = AH = 8A = OH = 19.80[tex]\implies \sf \tan(\angle AOH)=\dfrac{8}{19.8}[/tex]
[tex]\implies \sf \angle AOH = 22.00069835^{\circ}[/tex]
∠BOA = ∠BOH + ∠AOH
⇒ ∠BOH = ∠BOA - ∠AOH
⇒ ∠BOH = 61° - 22.00069835°
= 38.99930165°
Now we can find HB by again using the tan trig ratio:
Given:
[tex]\theta[/tex] = ∠BOH = 38.99930165°O = HBA = OH = 19.80Substituting given values:
[tex]\implies \sf \tan(38.99930165^{\circ})=\dfrac{HB}{19.80}[/tex]
[tex]\implies \sf HB=19.80 \tan(38.99930165^{\circ})[/tex]
[tex]\implies \sf HB=16.03332427[/tex]
Therefore:
AB = AH + BH
⇒ AB = 8 + 16.03332427
= 24.03 units (nearest hundredth)
help asap please and thank you !!!!!
Answer:
Hope this helps
Step-by-step explanation:
Y = 3x - 10
So, 4x + 5y = 7
= 4x + 5(3x - 10) = 7
= 4x + 15x - 50 = 7
= 19x - 50 = 7
= 19x = 7 +50
= 19x = 57
= X = 57/19
X = 3
Find f¹(x) for the function f(x)= x/3
f¹(x) = [?]x
Answer:
3x
Step-by-step explanation:
f(x) = x/3
let , y=f(x)
or y=x/3
inter changing x and y, we get,
x=y/3
or, 3x=y. ( cross multiplication)
therefore f-1(x) 3x
Two of the angles in a triangle measure 57º and 25°. What must be the measure of the
third angle?
The measure of the third angle is
Plssss i need the answer
The measure of the third angle in the triangle is 104 degrees
How to determine the measure of the third angles?Let the three angles in the triangle be x, y and z.
Such that:
x = 51
y = 25
The sum of angles in a triangle is 180 degrees.
So, we have:
x + y + z = 180
Substitute known values
51 + 25 + z = 180
Evaluate the sum
76 + z = 180
Subtract 76 from both sides
z = 104
Hence, the measure of the third angle is 104 degrees
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What is the measure of Angle A in the triangle
shown?
Answer:
44degrees
Step-by-step explanation:
I've just replaced letter A with x so that I can make it easier for me to get the value of x and after adding 54 + 82 I got 136 and when I transferred it to the other side I subtracted it from 180 because it had a positive sign before it and if it is carried out the other side it becomes a negative which means I should subtract hope you got me.
in short once a positive number is carried to the other side I mean past the equals sign then it changes to negative hope it helps
Which type of question is most useful in a group discussion?
A. Closed questions
B. Open questions
C. Multiple choice questions
D. Written responses
Answer:
B
Step-by-step explanation:
it is B I am so sorry if it is wrong
3. x² +(y + 2)2 = 64
Center:
Radius:
Answer:
Center: (0, -2)
radius: 8
Explanation:
Given equation: x² + (y + 2)² = 64
The Circle Formula:
(x - h)² + (y - k)² = r²
where (h, k) are points of center. r denotes radius
So rewrite the equation in circle formula:
x² +(y + 2)² = 64
(x- 0)² +(y + 2)² = 8²
Identify followings:
h = 0, k = -2, radius = 8
Suppose that you have $14,000 to invest and you are trying to decide between investing in project A or project B. If you invest in
project A, you will receive a payment of $17,000 at the end of 3 years. If you invest in project B, you will receive a payment of $56,000
at the end of 23 years. The annual interest rate is 6 percent and both projects carry no risk.
Instructions: Round your answers to the nearest dollar. Do not round your intermediate calculations.
a. What is the present value of each project? Enter your answers in the table below.
Present Value
Project A =
$
Project B =
$
b. Which project will you choose for your investment?
Project A
Project B
mark drops a ball from a window 90ft above the sidewalk. The ball always bounces third it’s height. How far will the ball have to travel when it hits the sidewalk the 3rd time?
PLEASE ANSWER QUICK
If a x b = 2a - 3b + ab, then 3 x 5 + 5 x 3 is equal to?
do answer.
I need help in this question
Answer:
I am not entirely sure but The maximum is 500 and b $0.50
Curtis threw 15 darts at a dartboard. 40% of his darts hit the bullseye. How many darts did not hit the bullseye?
Answer:
9
Step-by-step explanation:
Because 40% hit the bullseye, we can subtract 40% from 100% meaning 60% did not hit the bullseye.
We can then convert 60% into the decimal .6 and multiply it by 15.
15 x .6 = 9
Evaluate the following indefinite integral
Step-by-step explanation:
try this solution, the answer is underlined with orange colour.
What does this add to 3/11 x 3 1/4
Answer:
0.
Step-by-step explanation:
The expression 12.66d + 11.12c can be used to find the total cost of d pounds of almonds and c pounds of cashews. How much does it cost to buy pounds of almonds and pounds of cashews?
Pls help
Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell two cars; nineteen generally sell three cars; twelve generally sell four cars; nine generally sell five cars; eleven generally sell six cars. Calculate the following. (Round your answer to two decimal places.)
sample mean = x
If Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Then the mean of the sample is 3.75.
What is Mean?The average of a group of numbers is simply defined as the mean. In statistics, the mean is regarded as one of the indicators of central tendency.
Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week.
Fourteen people answered that they generally sell two cars; nineteen generally sell three cars; twelve generally sell four cars; nine generally sell five cars; eleven generally sell six cars.
Then the mean of the sample will be
[tex]\rm Mean = \dfrac{1}{N} \times \Sigma _{i} \ \ x_if_i[/tex]
Then the table is given below.
Then we have
[tex]\rm Mean = \dfrac{1}{65} \times (244)\\\\\\Mean = 3.7538\\\\Mean \approx 3.75[/tex]
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A castle built for the man who founded the town of Redstone, CO, can now be yours, for $19.75 million. (Sherman, T.)
A coal magnate, John Cleveland Osgood, built the castle for his wife near the town of Redstone, which was founded as a company town for people working in the coal mining industry. Construction began in 1897 and was completed in 1902. (Sherman, T.)
In the early 1900s, John Cleveland Osgood was known as the King of Coal in the West. He was sixth richest of the Robber Barons, a group of elite industrialists. As a social and industrial experiment, Osgood decided he wanted to build a town in the Colorado mountains that would provide better living conditions for the miners working nearby. Instead of the tents and tiny cabins common in mining towns, Osgood built Swiss-style cottages – with electricity and running water - along the river. He also built a clubhouse with a theater, school, library, lodge, community garden and stables. (Kesting, A.).
Known as Redstone Castle and as the "Ruby of the Rockies," the 42-room castle has almost 30,000 square feet of interior space. It also has over 150 acres of land, surrounded by beautiful scenery along the Crystal River. (Sherman, T.)
It's not the first time the castle has been up for sale in recent years. Steve and April Carver purchased it at an auction for $2.2 million in 2016. (Oravetz, J.)
The Carvers worked to renovate and restore the castle and have operated it as a hotel since 2018. (Oravetz, J.)
1. Calculate the annual compound growth rate of the Redstone Castle price since the house was purchased by Steve and April Carver (in 2016) until it was listed for sale in 2020. (The growth rate should be calculated to two decimals in percentage form. Round the number of years to the whole number). Please show your work.
2. Assume that the average compound growth rate prevailed since John Cleveland Osgood built the Castle in 1902 until 2016 was 5.52% per year compounded annually. Calculate the price of the house in 1902. (Round the number of years to the whole number). (TIP: To get the answer correctly you need to use the price of the house in your calculations in dollars with all zeros). Please show your work.
3. You were using the time value of money concept to answer question #2. Think about the timeline for that problem. What year is considered as the time point 0 in that problem? Please explain your answer
4. Assume that the average compound growth rate you were using in the question #2 now is compounded daily. Calculate the price of the house in 1902. Compare with your answer to the question #2. (Round the number of years to the whole number). (TIP: To get the answer correctly you need to use the price of the house in your calculations in dollars with all zeros). Please show your work.
5. Assume that the house was purchased for the price listed in 2020. A commercial bank loaned the buyer the whole price (zero down payment) for 30 years. The loan must be repaid in equal monthly payments at the end of the month. The annual interest rate on the loan is 3.45% of the unpaid balance. What is the amount of the monthly payments? Please show your work.
The annual compound growth rate of the Redstone Castle price is 73.10%.
How to calculate the compound growth rate?From the information given, the formula to calculate the annual compound growth rate will be:
g = (F/P)^(1/n) - 1
where g = growth rate
f = final value = 19750000
p = initial value = 2200000
n = period = 2020 - 2016 = 4
g = (F/P)^(1/n) - 1
g = (19750000/2200000)^(1/4) - 1
g = 73.10%
Therefore, the growth rate is 73.10%
The price of the house in 1902 will be calculated thus:
PV = F/(1 + g)^n
= 19750000/(1 + 73.10%)^4
= $4811
The year that is considered as the time point 0 in that problem is 1902.
When the average compound growth rate in the question #2 now is compounded daily, the price of the house in 1902 will be $4071. The difference in values will be:
= $4811 - $4071
= $740
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I need help asap please
Answer:
17.5
Step-by-step explanation:
Two points which lie on the line are : (0, 0) and (4, 70)
Constant of proportionality :
y₂ - y₁ / x₂ - x₁70 - 0 / 4 - 070/417.5Which one is the correct answer and why?
The null hypothesis is that the observed difference is due to chance alone in a research.
How to illustrate the hypothesis?Your information is incomplete. Therefore, an overview of a hypothesis will be given. A null hypothesis is a hypothesis that states that there is no relationship between two population parameters.
It should be noted that researchers reject or disprove the null hypothesis to set the stage for further experimentation or research that explains the position of interest.
The null hypothesis: H0 is the complement of the alternative hypothesis. Type I error is when we reject the null hypothesis when it is correct.
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What is true about open-end credit? OA It is not typically used for a single purchase but for many purchases over a period of time. B. This type of credit is sometimes referred to as a consumer loan. OC. This type of credit is commonly used for big ticket things like mortgages or car loans. Payments typically stay the same amount from month to month.
Answer:
Option B
Step-by-step explanation:
Open end credit 's biggest example is our credit card
You use credit card and take the money borrow from bank as per your requirement.If you pay in time your credit score increases else decreases.Option B is correct
What is true about the angles of a right triangle?
Answer:
A right triangle has one angle of 90
Step-by-step explanation:
Step-by-step explanation:
It has only one angle of 90°
Convert 23/9 to decimal. round your answer to the nearest thousandths.
Answer: 2.556
Step-by-step explanation:
23/9 = 2.5555555555 (endless 5)
round to nearest thousandths... three places from the decimal point.
2.5555... round up since 5 is the number next to the thousandth place.
2.556
Which figure could Jose have constructed?
Answer:
what is the figure so i can awnser iit
Step-by-step explanation:
?
can anyone tell me what points I plot these two at ? ty
Answer:
Both graphs in 2 separate attachments--placed in order
Hope it helps.
Hello ~
My name is Sxnnysoul, and I will be answering your question today! :D
Let's solve for x ~
⇢ [tex]\sf{x^2 \: + \: y^2 \: = \: 4}[/tex]
⇢ [tex]\sf{Step \: 1: \: Add \: -y^2 \: to \: both \: sides.}[/tex]
⇢ [tex]\sf{x^2 \: + \: y^2 \: + \: -y^2 \: + \: = \: 4 \: + \: -y^2}[/tex]
⇢ [tex]\sf{x^2 \: + \: -y^2 \: + \: 4}[/tex]
⇢ [tex]\sf{Step \: 2: \: Take \: square \: root.}[/tex]
⇢ [tex]\sf{x \: = \sqrt{-y^2 \: + \: 4} \: or \: = - \sqrt{-y^2 \: + \: 4}[/tex]
P.S here's the graph that might help you!
Let's solve of x ~
⇢ [tex]\sf{x^2 \: + \: y^2 \: = \: 32}[/tex]
⇢ [tex]\sf{Step \: 1: \: Add \: -y^2 \: to \: both \: sides.}[/tex]
⇢ [tex]\sf{x^2 \: + \: y^2 \: + \: -y^2 \: + \: = \: 32 \: + \: -y^2}[/tex]
⇢ [tex]\sf{x^2 \: + \: -y^2 \: + \: 32}[/tex]
⇢ [tex]\sf{Step \: 2: \: Take \: square \: root.}[/tex]
⇢ [tex]\sf{x \: = \sqrt{-y^2 \: + \: 32} \: or \: x \: = - \sqrt{-y^2 \: + \: 32}[/tex]
P.S here's the second image of the graph. so, you won't get confused.
Hope It Helps! ~
~ Learn With Sxnnysoul ~
[tex]\underline{Answer :}[/tex]
ꜱ x ɴ ɴ ʏ ꜱ ᴏ ᴜ ʟ
PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL
Answer:
115 degrees
Step-by-step explanation:
180-165
=115
~rere
Answer:
x = 115°
Step-by-step explanation:
Given angle y = 65°
Find angle x
=> x + y = 180
=> x + 65° = 180
=> x = 180 - 65
=> x = 115°
HOPE THIS HELPS AND HAVE A NICE DAY <3
A spinner has three sections. This table shows the results of spinning the arrow on the spinner 80 times.
Section 1=18 Section 2=30 Section 3=32
What is the experimental probability of the arrow stopping on Section 2?
9/40
1/3
3/8
2/5
The experimental probability of the arrow stopping on Section 2 will be [tex]\rm \frac{3}{8}[/tex]. is the ratio of the favorable event to the total number of events.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.
No of arrows given in the different section ;
Section 1=18
Section 2=30
Section 3=32
The probability that the arrow stopping on Section 2 is found as;
[tex]\rm P = \frac{Favourable \ outcomes }{Total \ outcomes } \\\\\ P= \frac{30}{18+30+32} \\\\ P=\frac{30}{80}\\\\ P= \frac{3}{8}[/tex]
Hence, the experimental probability of the arrow stopping on Section 2 will be [tex]\rm \frac{3}{8}[/tex].
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