Answer: 150 feet
Step-by-step explanation: 87 + 63 = 150
How could you use the function y = sin 2x to find the zeros of y = tan 2x
To find the zeros of y = tan(2x), we need to solve the equation sin(2x) = 0 to determine the x-values where sin(2x) is zero. These x-values will correspond to the zeros of the function tan(2x).
To find the zeros of the function y = tan(2x), we can utilize the fact that tan(x) is equal to sin(x)/cos(x).
Given y = tan(2x), we can rewrite it as:
y = sin(2x) / cos(2x)
Now, let's consider the numerator of this expression, which is sin(2x). If we set sin(2x) equal to zero, we can determine the values of x that make the numerator zero:
sin(2x) = 0
By solving this equation, we can find the zeros of sin(2x). The solutions will be the values of x for which sin(2x) equals zero.
Similarly, we can look at the denominator of the expression y = sin(2x) / cos(2x), which is cos(2x). If cos(2x) equals zero, the denominator will be zero, which leads to undefined values for y. These points will be vertical asymptotes of the function tan(2x).
To find the zeros of y = tan(2x), we need to solve the equation sin(2x) = 0 to determine the x-values where sin(2x) is zero. These x-values will correspond to the zeros of the function tan(2x).
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g suppose an unknown radioactive substance produces 2800 counts per minute on a geiger counter at a certain time, and only 700 counts per minute 15 days later. assuming that the amount of radioactive substance is proportional to the number of counts per minute, determine the half-life of the radioactive substance. the radioactive substance has a half-life of days.
The half-life of the radioactive substance is 7.5 days. This means that, after 7.5 days, half of the radioactive atoms will have decayed and the count per minute will be reduced by half
The half-life of a radioactive substance is the amount of time it takes for half of its radioactive atoms to decay. In this case, you are given the initial count per minute of 2800 and the count per minute after 15 days of 700. We can use this information to calculate the half-life of the radioactive substance. First, divide the initial count per minute (2800) by two. This gives us the count per minute that we need to find, which is 1400.
We then subtract the count per minute after 15 days (700) from the count per minute we need to find (1400). This gives us the difference in count per minute, which is 700. Now, we need to determine how much time it would take for the count per minute to decrease by 700. To do this, we divide the difference in count per minute (700) by the initial count per minute (2800). This gives us a decimal, which we then multiply by the number of days (15). The result is the half-life of the radioactive substance in days, which is 7.5 days.
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Please help me please
Answer:
\(-\frac{1}{64}\)
Step-by-step explanation:
Evaluate the following limit.
\(\lim_{x \to 0} \frac{\frac{1}{x+8} -\frac{1}{8} }{x}\)
(1) - Simplify the limit
\(\lim_{x \to 0} \frac{\frac{1}{x+8} -\frac{1}{8} }{x}\\\\\Longrightarrow \lim_{x \to 0} \frac{\frac{1(8)}{(x+8)(8)} -\frac{1(x+8)}{8(x+8)} }{x}\\\\\Longrightarrow \lim_{x \to 0} \frac{\frac{8-x-8}{8(x+8)} }{x} \\\\\Longrightarrow \lim_{x \to 0} \frac{\frac{ -x}{8(x+8)} }{x} \\\\\Longrightarrow \lim_{x \to 0} \frac{-x}{8x(x+8)} \\\\\Longrightarrow \boxed{\lim_{x \to 0} \frac{-1}{8(x+8)} }\)
(2) - Plug in the limit
\(\lim_{x \to 0} \frac{-1}{8(x+8)}\\\\\Longrightarrow \lim_{x \to 0} \frac{-1}{8((0)+8)}\\\\\Longrightarrow \lim_{x \to 0} \frac{-1}{8(8)} \\\\\therefore \boxed{\boxed{\lim_{x \to 0} \frac{\frac{1}{x+8} -\frac{1}{8} }{x}=-\frac{1}{64} }}\)
what does 4x-2y=2 equal to step by step
Answer:
y = 2x - 1
Step-by-step explanation:
4x - 2y = 2
So I'm assuming that your goal is to solve for the value of y in terms of x
First: the whole equation can be divided by 2
2x - y = 1
Second: subtract 2x from both sides
-y = -2x + 1
Third: divide each side by -1
y = 2x - 1
Done! I would appreciate Brainliest but no worries.
8m +7=8m+5
PLEAE HELP ASAP
Answer: 0 = − 2, Is the answer I think. Sorry if it's wrong.
Alyssa and her 4 friends (5 people total) share 3 pizzas equally. How much of one pizza does each person get?
Answer: 1.5 pizzas
Step-by-step explanation:
Jamie has 2 ½ packs of sunflower seeds to cover 150 sq ft. Based on this
information, what is the number of sq ft that 1 pack of sunflower seeds will
cover?
Answer:
60 ft.^2
Step-by-step explanation:
Known area/number of packs= A / number of packs for A, where A= area of interest
150/2.5=A/1
A=60
I need help asap T>T
Answer:
3.4 yards cubed
Step-by-step explanation:
Volume is length x width x height
Length 2 4/5, Width 2, Height 3/5 so 2 4/5 x 2 x 3/5
It looks like they want the answer in decimal form, so you can convert the fractions into decimals.
For the length 2 4/5, you divide the 4 by 5 to get a decimal of .8 so now it's 2.8
For the height of 3/5, you divide the 3/5 & get .6
Now it's 2.8 x 2 x .6 = 3.36 yards cubed which could get rounded up to 3.4 yards cubed
the long-distance calls made by the employees of a company are normally distributed with a mean of 6 minutes and a standard deviation of 2 minutes. what is the length of time (in minutes) that exceeds 94% of the length of the calls by the employees?
10 minutes.
The length of time that exceeds 94% of the length of the calls by the employees is 10 minutes. This is calculated using the normal distribution formula, which states that the 94th percentile of a normal distribution with mean 6 and standard deviation 2 is 6 + 2*1.75 = 10.
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the diagram below shows a square-based pyramid
The solution is, 52 ft is the perimeter of the base of the pyramid.
Here, we have,
Given that:
We have an pyramid with square base.
Area of base of the square pyramid = 169
To find:
Perimeter of the base of pyramid = ?
Solution:
First of all, let us have a look at the formula of area of a square shape.
Area = side * side
Let the side be equal to ft.
Putting the given values in the formula:
169 = a^2
so, a = 13 ft
Now, let us have a look at the formula for perimeter of square.
Perimeter of a square shape = 4 Side
Perimeter = 4 * 13 = 52ft
The solution is, 52 ft is the perimeter of the base of the pyramid.
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complete question:
A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid? A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid?
Radioactive radium has a half-life of approximately 1599 years. What percent of a given amount remains after 900 years? (Round your answer to two decimal places.)
64.77% of a given amount remains after 900 years.
To determine the percentage of radioactive radium remaining after 900 years, we'll use the half-life formula:
Final Amount = Initial Amount * \(1/2^{(time elapsed / half-life)}\)
In this case, the half-life is 1599 years and the time elapsed is 900 years. We want to find the percentage remaining, so let's assume the initial amount is 100%.
Final Amount = 100 * \((1/2)^{(900 / 1599)}\)
Now, we'll calculate the exponent:
Exponent = 900 / 1599 ≈ 0.5635
Then, we'll compute the final amount:
Final Amount ≈ 100 * \((1/2)^{0.5635}\) ≈ 100 * 0.6477 ≈ 64.77%
After 900 years, approximately 64.77% of the initial radioactive radium remains. This percentage was found using the half-life formula, which accounts for the exponential decay of radioactive substances over time.
The formula shows how the remaining amount of a substance decreases as time progresses based on its half-life, which is the time it takes for half of the substance to decay. In this scenario, radium's half-life of 1599 years and the 900-year time frame were used to determine that roughly 64.77% of the initial radium remains.
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Need help with this question
Answer:
Hope this helps..
Step-by-step explanation:
7 is a right angle- it is 90 degrees
5 is an acute angle- less than 90 degrees
6- obtuse angle more than 90 degrees.
Can anyone help me with this math equation the picture is down below!!
Answer:
\( \frac{1}{3} \)
is your answers
hope so it is helpful to u
Answer:
\(\frac{1}{3}\)
Step-by-step explanation:
Find the GCF of 5 and 15. It's 5.Divide both numbers by 5. 5 divided by 5 is 1. 15 divided by 5 is 3.Reassemble the numbers. You now have 1 over 3. We simply just made the numbers smaller, so we keep them in the same placeFrancie lives 1_5 mile from the school. Jake lives 2_10 mile from the school. Do they live the same distance from the school? Explain.
Answer:
Yes
Step-by-step explanation:
So, we see that both Francie and Jake lives miles from the school. Hence, they both live the same distance from the school.
Choose an object that could be about the same length as each measurement.
Answer:
G - Foot race
F - Grain of rice
E - pencil
D - table cloth
C - persons leg
B - Ladder
A - insect
Due in 3 min!!! Can I get help please? Really appreciated. :)
Answer:
2 hour of babysitting and 4 hours of stacking groceries
Step-by-step explanation:
sorry if wrong
In Coach Bryant’s math class, he had his students create a net of a cube. An example of the net is below.
Net of a cube. The measurements for each side 2.5 in.
What is the total surface area of the cube?
37.5 in2
6.25 in2
31.25 in2
60 in2
Answer:7.5 in2
Step-by-step explanation:A=6a2=6·2.52=37.5in²
Proof #5 challenge answers from desmos
Proof #5 challenge answers from Desmos are given.
What are Geometry proofs?
A thorough and logical approach to proving the correctness of geometric claims or theorems is known as a geometry proof. To demonstrate that a certain conclusion or assertion is true, they include a methodical process of reasoning and justification.
Deductive reasoning is the method frequently used in geometry proofs, which begin with preexisting knowledge (known facts, postulates, and theorems) and proceed logically to the intended result.
In geometry proofs the following order is followed:
GivenPostulate for segment additionEqualities' substitutional propertyPostulate for Segment Addition Transitive attribute of equalityThe equality's subtraction attribute.Step 1:
The following are the parameters from the question:
\(AE=BD;CD=CE\)
Step 2:
We possess
\(AE=AC+CE\)
Given that point C is on line segment AE, the aforementioned represents the postulate for segment addition.
Step 3:
Replace AE with BD and CE with CD in
\(BD=AC+CD\\\)
The Equalities' substitutional property is illustrated by the above.
Step 4:
Step 3 provides:
\(BD=AC+CD\\\)
Apply the symmetric property of equality.
\(AC+CD=BD\)
Step 5:
Line segment BD includes point C.
We thus have:
\(BD=BC+CD\)
This is the segment addition postulate.
Step 6:
It is a transitive attribute of equality that:
if \(a=b,b=c\) then \(a=c\).
We thus have:
\(AC+CD=BC+CD\)
This is the case due to:
\(AC+CD=BC+CD=BD\)
Step 7:
Take CD out of both sides of
\(AC+CD=BC+CD\)
\(AC=BC\)
The equality's subtraction attribute is demonstrated in the previous sentence.
Hence this geometry proof is provided.
Proof #5 challenge answers from demos are given.
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Can someone help me please
Answer:
8(n/4)
Step-by-step explanation:
Sarah bought a new lip gloss. It cost $8.99 plus 5% tax. How much did she pay for the lip
gloss?
Answer:
9.4395
Step-by-step explanation:
5% of 8.99= 0.4495
cost of lip gloss8.99
$8.99+$0.4495=$9.4395
14. (10.0 points) Given f(x)=sin(2πx), when x = 0.3, f(x) = 0.951057. Approximate the value of f(0.2) using the first two terms in the Taylor series and Vx=0.1. (Write your answer to 6 decimal points).
Given the function f(x)=sin(2πx), with x = 0.3, f(x) = 0.951057. The objective is to approximate the value of f(0.2) using the first two terms in the Taylor series and Vx=0.1.
We know that the Taylor series for a function f(x) can be written as:f(x)=f(a)+f′(a)(x−a)+f′′(a)2(x−a)2+…+f(n)(a)n!(x−a)n+…The first two terms of the Taylor series are given by:f(x)=f(a)+f′(a)(x−a)The first derivative of f(x) is given by:f′(x)=2πcos(2πx)On substituting x = a = 0.1, we get:f′(0.1) = 2πcos(2π * 0.1) = 5.03118603447The value of f(x) at a=0.1 is given by:f(0.1) = sin(2π * 0.1) = 0.587785252292With a=0.1, the first two terms of the Taylor series become:f(x)=0.587785252292+5.03118603447(x−0.1) = 0.587785252292+0.503118603447x−0.503118603447×0.1Using x=0.2 and substituting the values of a and f(a) in the equation above, we get:f(0.2)=0.587785252292+0.503118603447*0.2−0.503118603447×0.1=0.712261After approximating the value of f(0.2) using the first two terms in the Taylor series,
we can conclude that the value of f(0.2) = 0.712261 with a = 0.1, with an error of approximately 0.012796.
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PLEASE HELP DUE SOON AND I NEED TO LEAVE FOR WORK!!
What is the simplified form of i^14? A. -1. B. 1. C. -1. D. I
Answer:
A
Step-by-step explanation:
i need help on finding the equivalent expressions plss
Answer:
4g
Step-by-step explanation:
just subtract it
Answer:
4g
Step-by-step explanation:
the other don't make sence
Suppose that the demand curve in the market for VCRs can be represented by the following demand and supply equation: Qd = 1,000 - 6P = Qs = = 4P The government decides to impose a tax of $30 per unit sold on VCRs. 1. Find the equilibrium quantity with the tax. 2. Find the price paid by buyers 3. Find the price paid by sellers. 4. Illustrate your answer in (a) with a diagram 5. Calculate the Dead Weight Loss due to the tax 6. Calculate the consumer surplus due to the tax.
Demand refers to the quantity of a product or service that buyers are willing and able to purchase at a certain price level. A demand curve is a graphical representation of the relationship between the quantity of a good or service that buyers are willing to purchase at different price levels.
In the market for VCRs, the demand and supply equations are Qd = 1,000 - 6P and Qs = 4P respectively. The government decides to impose a tax of $30 per unit sold on VCRs. This will lead to a shift in the supply curve upwards by $30, resulting in a new equilibrium point.
1. To find the new equilibrium quantity with the tax, we set Qd = Qs + tax. Thus, 1,000 - 6P = 4P + 30. Solving for P, we get P = $105. The equilibrium quantity is therefore Q = 1,000 - 6($105) = 370.
2. The price paid by buyers is the same as the equilibrium price, which is $105.
3. The price paid by sellers is the equilibrium price minus the tax, which is $75.
4. The diagram below illustrates the impact of the tax on the market for VCRs. The original equilibrium point is E0, with a price of $70 and a quantity of 400. With the tax, the new equilibrium point is E1, with a higher price of $105 and a lower quantity of 370. The tax creates a vertical distance between the two equilibrium points, which represents the tax revenue collected by the government.
[Insert Diagram Here]
5. The deadweight loss due to the tax is the reduction in total surplus (consumer surplus + producer surplus) that results from the tax. Using the original equilibrium as a benchmark, the total surplus is (1/2)($70)(400) = $14,000. With the tax, the total surplus is (1/2)($75)(340) = $6,375. Thus, the deadweight loss is $7,625.
6. To calculate the consumer surplus due to the tax, we need to compare the original consumer surplus with the new consumer surplus. Using the original equilibrium as a benchmark, the consumer surplus is (1/2)($70)(400 - 70) = $5,950. With the tax, the consumer surplus is (1/2)($105)(370 - 105) = $12,145. Thus, the consumer surplus due to the tax is $6,195.
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Determine f(-2) for
f(x)
x³, x<-3
f(x)=2x²-9, -3≤x<4
|5x+4, x ≥4
O-1
O-6
08
09
The value of the given function f(x) is -1 at x=-2 and the appropriate function at x=-2 is f(x)=2x²-9.
It is given that f(x)=x³, x<-3
f(x)=2x²-9, -3≤x<4
|5x+4|, x ≥4
Here we need to find value of y at x=-2.
let y=f(x)
Since-2>-3 so the value of y will be 2x²-9 as -3<-2<4
Now by putting value of x in the above equation we get
y = 2 {x}^(2) - 9
y = 2 ({ - 2})^(2) - 9
y = 8 - 9
y = - 1
Hence the value of f(x) is -1. It is important to note that in order to solve such problems first we need to think that we are given 3 functions .On putting value of x=-2 in each function the value will be different in each case.
But such thing is not possible because a function can`t have different values.
so we need to set the range where x=-2 lies .
For eg. in above problem the value of x lies in the range -3≤x<4 so this will be our function and we need to put the value of x in this function to get the correct answer.
Hence the value of f(-2) is -1.
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The manager at the Fuel Stop gas station says that gas prices are decreasing across the country and their station will still make a profit as long as there is not a greater than 10% decrease in gas prices. Gas prices decreased this week from $4 per gallon to $3.80 per gallon. Will Fuel Stop continue to make a profit? Why or why not?
Answer:
they would continue to make a profit because the decrease in price is 5%
Step-by-step explanation:
4.
2
Round off 14.9028 to the nearest
hundredths
Answer:
14.9000 is the answer
Step-by-step explanation:
round it
Answer:
can you be more clear
Step-by-step explanation:
The table shows the balance of a money market account over time. Write a function that represents the balance y (in dollars) after t years.
PLEASE HELP!! I WILL GIVE POINTS!!
The required function is y=11.047t + 199.12
The given table shows the balance of a money market account over time.
Time (t) Balance(y)
0 200
1 210
2 220.5
3 231.53
4 243.1
5 255.26
The function that represents the balance y(in dollars) after t years is a linear regression line because the value of y increased linearly.
The linear regression function is defined as y =bx +a
Where,
a= ∑y(∑x²)-∑x(∑xy) / n(∑x²)-(∑x)²
b= n(∑xy)-∑x(∑y) / n(∑x²)-(∑x)²
Put the values from the table attached below in the above formulas.
The value of b is 11.047 and the value of a is 199.12. Here, the variable is t.
Therefore the required function is y=11.047t + 199.12.
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a= ∑y(∑x²)-∑x(∑xy) / n(∑x²)-(∑x)²
b= n(∑xy)-∑x(∑y) / n(∑x²)-(∑x)²
Put the values from the table attached below in the above formulas.
The value of b is 11.047 and the value of a is 199.12. Here, the variable is t.
Therefore the required function is y=11.047t + 199.12.
ppppppllllllssss hhhhheeeeellllpppppp
The integer fraction of the expression 14x⁻², for x = 7 is 2 / 7.
How to simplify an expression?The expression is expressed as follows:
14x⁻², for x = 7
This simply implies we have to simplify the expression when x = 7.
Therefore, we have to substitute the value of x in the expression. The value of x is 7.
Hence,
using indices law,
x⁻¹ = 1 / x
Therefore,
14x⁻² = 14 / x²
Hence,
14 / x² = 14 / 7²
14 / 7² = 14 / 49
14 / 49 ÷ 7 / 7 = 2 / 7
Therefore, the integer fraction of the expression 14x⁻², for x = 7 is 2 / 7.
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