Answer:
16-6
Step-by-step explanation:
Credit to Tglimer2006avatar
Alan's goal is to decrease his weight by 5% each month. This month, he weights 280. What weight, in pounds, is he hoping to weigh next month?
Answer:
294lbs
Step-by-step explanation:
You can find the weight by taking 10% of 280. (Move the decimal one spot to the left) That would be 28. Then divide 28 by 2 and you get 14, which would be 5%. Then add 14 to 280 and you get 294.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve 2s^3 - 4r^2 = if r = 1 and s = 5
The Value of the expression 2s³ - 4r² by substituting the given values into the expression is 246
Given the equation ; 2s³ - 4r²
Value of r = 1 ; value of s = 5To solve, substitute the values of r and s into the equation :
2(5)³ - 4(1)²
2(5 × 5 × 5) - 4(1 × 1)
2(125) - 4(1)
250 - 4
= 246
Therefore, the final value of the expression by substituting the value of r and s as 1 and 5 respectively is 246
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a 10-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 8feet from the base of the building. How high up does the ladder reach?
The ladder would reach a distance of 6 feet up the wall.
The Pythagorean theorem.This is a theorem that can be used to determine the unknown side of a right angled triangle. It is given as:
/hyp/^2 = /opp/^2 + /adj/^2
In the given question, the ladder is placed a against a vertical wall of a building. Given that the bottom of the ladder is 8 feet to the base of the building. Therefore this is would form a right angled triangle, such that the Pythagorean theorem can be applied.
So that, let the height of the ladder on the wall be represented by t. Then;
10^2 = t^2 + 8^2
100 = t^2 + 64
t^2 = 100 -64
= 36
t = (36)^1/2
t = 6 feet
Thus the ladder is placed 6 feet up the vertical wall.
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Find the slope. Explain what the slope and y-intercept means for the situation. Be sure to use your labels when explaining the real-life situation.
Answer:
Slope: 25, y-intercept: 0
Step-by-step explanation:
Take any two points. I'm going to take (3, 75) and (4, 100).
How to find slope: change in y/change in x
Change in y --> 100 - 75 = 25
Change in x --> 4 - 3 = 1
25 ÷ 1 = 25.
Slope is 25
Since 3 · 25 = 75, the y-intercept is 0.
The y-intercept stands for how much money someone gets for working 0 days, so they get $0 for working/whatever situation they're in for 0 days.
A restaurant owner wants to survey customers to determine their favorite brand of ketchup. Which would provide the best sample?
A) Ask 20 customers chosen at random each day for a week
B) Ask the first 50 customers who come in to the restaurant on Saturday
C) Ask her 10 best customers
D) Ask all the people who live within a block of the restaurant
Using the chart in your text, calculate how many hours per week you should ideally spend studying if you have one three-credit class that is less demanding, two three-credit classes that are typically demanding, and one four- credit class that is very challenging.
Using the same guideline, for a four-credit class, you would ideally spend:
4 credits * 2-3 hours/credit = 8-12 hours per week.
it is suggested that students allocate around 2-3 hours of study time per credit hour per week for a college-level course. However, the actual study time required may vary based on individual learning styles, prior knowledge, and the specific requirements set by professors or institutions.
Let's apply this general guideline to your scenario:
One three-credit class that is less demanding:
Assuming 2-3 hours of study per credit hour, for a three-credit class, you would ideally spend:
3 credits * 2-3 hours/credit = 6-9 hours per week.
Two three-credit classes that are typically demanding:
Similarly, for each of the two three-credit classes, you would spend:
3 credits * 2-3 hours/credit = 6-9 hours per week.
Since you have two such classes, the total time would be:
2 * (6-9) hours = 12-18 hours per week.
One four-credit class that is very challenging:
Using the same guideline, for a four-credit class, you would ideally spend:
4 credits * 2-3 hours/credit = 8-12 hours per week.
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Part 1
A stainless-steel patio heater is shaped like a square pyramid. The length of one side of the base is 2 feet. The slant height is 13 feet. What is the height of the heater? Round to the nearest tenth of a foot.
The height of the heater is 12.84 feet. The solution has been obtained by using Pythagoras theorem.
What is Pythagoras theorem?
Pythagoras' Theorem states that the square of the hypotenuse side in a right-angled triangle equals the sum of the squares of the other two sides.
We are given that a stainless-steel patio heater is shaped like a square pyramid.
The length of one side of the base is 2 feet and the slant height is 13 feet.
So, using Pythagoras theorem, we get
⇒(Height)² = (Slant height)²- (Base)²
⇒(Height)² = (13)²- (2)²
⇒(Height)² = 169 - 4
⇒(Height)² = 165
⇒Height = √165
⇒Height = 12.84
Hence, the height of the heater is 12.84 feet.
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PLEASE HELP FAST. WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER
what is the range of the function?
a. 1,2,3,4
b. 2,4,9,16
c. 1,2
d. 1,2,3,4,9,16
Answer:
the answer is b
3,369,090 divided by 56
Answer:
60162.3214286
Step-by-step explanation:
that's just what my calculator said
The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 34 liters, and standard deviation of 8 liters. A) What is the probability that daily production is between 40.6 and 52.7 liters?
The probability that daily production is between 40.6 and 52.7 liters is 0.7875.
The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 34 liters, and standard deviation of 8 liters.The formula for calculating the z-score is:z = (x - μ) / σwhere, μ is the mean, σ is the standard deviation, x is the value to be calculated and z is the standard score corresponding to x.Calculation:μ = 34 litersσ = 8 liters.To find this probability, we have to find the z-score for x₁ = 40.6 and x₂ = 52.7.z₁ = (x₁ - μ) / σ = (40.6 - 34) / 8 = 0.825z₂ = (x₂ - μ) / σ = (52.7 - 34) / 8 = 2.338.
Now, we have to find the probability corresponding to these two z-scores.The probability corresponding to z₁ is 0.2033, i.e.,P(z₁) = 0.2033The probability corresponding to z₂ is 0.9908, i.e.,P(z₂) = 0.9908.
Therefore, the probability that daily production is between 40.6 and 52.7 liters is:P(z₁ < z < z₂) = P(z₂) - P(z₁) = 0.9908 - 0.2033 = 0.7875Therefore, the probability that daily production is between 40.6 and 52.7 liters is 0.7875.Therefore, the probability that daily production is between 40.6 and 52.7 liters is 0.7875.
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(The fundamental theorem of arithmetic). Use strong induction to show that every natural number greater than 1 can be written as a product of primes. Hint. Use the inductive hypothesis that every number n satisfying 2 ≤ n ≤ m can be written as a product of primes n = p1p2 · · · pr for some positive integer r.
The fundamental theorem of arithmetic states that every natural number greater than 1 can be written as a product of primes. Using strong induction, we can prove this.
Let's proceed with the strong induction proof. We start by considering the base case, where m = 2. Since 2 is prime, it can be written as a product of primes itself.
Next, we assume that for all natural numbers k such that 2 ≤ k ≤ m, the statement holds true, i.e., k can be expressed as a product of primes. Now, we aim to prove that m+1 can also be expressed as a product of primes.
We know that m+1 is either prime itself or composite. If m+1 is prime, then it can be written as a product of a single prime, satisfying the theorem.
On the other hand, if m+1 is composite, it can be written as a product of two positive integers a and b, where 2 ≤ a ≤ b ≤ m. Since a and b are both less than or equal to m, we can apply the inductive hypothesis to express a and b as products of primes. Therefore, we can write m+1 as a product of primes by combining the prime factorizations of a and b.
By strong induction, we have shown that for any natural number m greater than 1, it can be expressed as a product of primes. This completes the proof of the fundamental theorem of arithmetic.
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An object is traveling at a steady speed of 10 1/5 mi/h. How long will it take the object to travel 1 4/5? First round to the nearest integer to find the estimated answer. Then find the exact answer
Answer: \(2\dfrac13\ h\)
Step-by-step explanation:
Given: Speed = \(10\dfrac15\) mi/h \(=\dfrac{21}{5}\)mi/h
Distance need to be travel = \(1\dfrac45\) miles \(=\dfrac{9}{5}\) miles
\(speed=\dfrac{distance}{time}\\\\\Rightarrow\ time=\dfrac{distance}{speed}\)
\(\Rightarrow\ time =\dfrac{\dfrac{21}{5}}{\dfrac{9}{5}}\\\\\Rightarrow\ time =\dfrac{21}{9}\\\\\Rightarrow\ time =\dfrac{7}{3}\\\\\Rightarrow\ time =2\dfrac13\ h\)
Hence, time taken to travel = \(2\dfrac13\ h\)
Which best describes what forms in nuclear fusion?
a
one smaller, less stable nucleus
b
one larger, more stable nucleus
c
two larger, less stable nuclei
d
two smaller, more stable nuclei
Answer:
I guess Letter B. One Larger, More stable nucleus
It produces nearly all the elements that are heavier than helium..
Answer:
Answer A
Step-by-step explanation:
Edge 2021
if the bases of an isosceles trapezoid have lengths of 22 and 29 what is the length of the median
An isosceles trapezoid is a quadrilateral having the following properties: The median of an isosceles trapezoid is the line segment formed when we join the midpoint of one leg to the midpoint of the other leg of an isosceles trapezoid. The median forms a special theorem just for isosceles trapezoids.
The graph of a rational function can have a vertical asymptote, a horizontal asymptote and a slant asymptote. True or false
9514 1404 393
Answer:
True (or False--see comment)
Step-by-step explanation:
No restrictions were placed on the nature of the rational function, so it is possible to create one that has all three kinds of asymptotes.
The attached graph shows that, along with the rational function whose graph it is. The function's asymptotes are ...
horizontal asymptote: y = 0vertical asymptote: x = -4slant asymptote: y = x -4_____
Additional comment
Our example function makes use of an exponential function. While that can be represented as a polynomial of infinite degree, it would usually not be considered a polynomial. Most authors define a rational function to be the ratio of polynomials.
A ratio of polynomials of finite degree cannot have all three kinds of asymptotes. It can have a vertical asymptote with either a horizontal or slant asymptote, but cannot have both a horizontal and a slant asymptote. The asymptote function is the quotient from the division of the numerator polynomial by the denominator polynomial. Any remainder from that division will necessarily tend to zero as the independent variable gets large.
write a linear equation with a slope of -7
Learning Task 1: Show the following decimals using grids. Write your answer in your notebook. 1) 0.9 2) 0.1 3) 0.24 4) 0.21 50.11 6) 0.15
Answer:
I hope this helps you:)
Step-by-step explanation:
Explain why the set of natural numbers {1,2,3,4,...} and the set of even numbers {2, 4, 6, 8, . . .} of positive even numbers
The set of natural numbers {1,2,3,4,...} and the set of positive even numbers {2, 4, 6, 8, . . .} are different because natural numbers include all positive integers, while even numbers only include those that are divisible by 2 with no remainder.
About the setsTwo important sets of numbers are natural numbers and even numbers. The set of natural numbers consists of numbers that are not negative, beginning with 1 and continuing indefinitely with 2, 3, 4, and so on.
The set of even numbers, on the other hand, consists of numbers that are divisible by 2, beginning with 2, 4, 6, and so on.
Positive integers refer to natural numbers. Any integer greater than zero is a positive integer.
Zero is not a positive integer. Hence, the set of natural numbers consists of {1,2,3,4,…}
On the other hand, the set of even numbers consists of {2, 4, 6, 8, . . .}.
Therefore, {1,2,3,4,…} and {2, 4, 6, 8, . . .} are two different sets of numbers where one set is composed of positive integers (natural numbers) and the other is composed of positive even numbers.
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Mr Tan baked 469 cookies.
He baked 255 fewer cookies than Mrs Liew.
How many cookies did Mrs Liew bake?
Answer:
724
Step-by-step explanation:
469+255=724
If Mr Tan baked less, then Mrs Liew baked more than Mr Tan by 255 cookies.
2(h+7) simplified. please include how you solved it!
Answer:
2h +14
Step-by-step explanation:
Multiply the parenthesis by 2MultiplyA banker who has done several deals with Todd McFarlane and the McFarlane company and knew that the company tends to be
The correct option for the question is option d) Experience with the target
In the given example, a banker has done several transactions with Todd and found them to be economically prudent. Based on his interactions with Tedd, the lender is likely to categorize Todd as reckless and artsy. He was in this position to stereotype Todd because of the several dealings he had with him. As a result, it is an example of prior experience with the objective. As a result, the proper option is (d) Experience with the target. All other selections are inappropriate and incorrect.
The complete question is:
A banker who has done several deals with Todd McFarlane and the McFarlane Company and knew that the company tends to be fiscally conservative would be less likely to stereotype Todd McFarlane as a risky, artistic type. Which perceiver characteristic best explains this outcome?
a) Gender and emotional status
b) Needs and goals
c) Direction of glaze
d) Experience with the target
e) Cognitive load
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Here are some characteristics of two portfolios, the market index, and the risk-free asset.
Expected Return Beta Standard Deviation
Portfolio A 11% 0.8 10%
Portfolio B 14% 1.5 31%
Market index 12% 1 20%
T-bills 6% 0 0%
Required:
a. Calculate the return predicted by CAPM for a portfolio with a beta of 0.8.
b. Calculate the return predicted by CAPM for a portfolio with a beta of 1.5.
The return predicted by CAPM for a portfolio with a beta of 0.8 is 10.8%, and the return predicted by CAPM for a portfolio with a beta of 1.5 is 15%.
The Capital Asset Pricing Model (CAPM) is a financial model that predicts what the return on an asset should be based on its expected risk and return. CAPM allows investors to calculate the expected return on a portfolio of stocks given its systematic risk.To answer this question, we need to know that the CAPM formula is:CAPM = Risk-free rate + (Beta x Market risk premium) where Beta = the systematic risk of the portfolio (measured by the beta coefficient), and the Market risk premium = (Market return - Risk-free rate).
Here are the characteristics of two portfolios, the market index, and the risk-free asset.Portfolio A:Expected Return = 11%Beta = 0.8Standard Deviation = 10%Portfolio B:Expected Return = 14%Beta = 1.5Standard Deviation = 31%Market index:Expected Return = 12%Beta = 1Standard Deviation = 20%T-bills:Expected Return = 6%Beta = 0Standard Deviation = 0%.
We can now calculate the return predicted by CAPM for a portfolio with a beta of 0.8 (Portfolio A). CAPM = Risk-free rate + (Beta x Market risk premium)Market risk premium = Market return - Risk-free rate = 12% - 6% = 6%CAPM = 6% + (0.8 x 6%) = 10.8%Therefore, the return predicted by CAPM for a portfolio with a beta of 0.8 is 10.8%.
We can also calculate the return predicted by CAPM for a portfolio with a beta of 1.5 (Portfolio B). CAPM = Risk-free rate + (Beta x Market risk premium)Market risk premium = Market return - Risk-free rate = 12% - 6% = 6%CAPM = 6% + (1.5 x 6%) = 15%Therefore, the return predicted by CAPM for a portfolio with a beta of 1.5 is 15%.In conclusion, the return predicted by CAPM for a portfolio with a beta of 0.8 is 10.8%, and the return predicted by CAPM for a portfolio with a beta of 1.5 is 15%.
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A nursing student can be assigned to one of three different floors each day depending on staffing needs. How many different ways can she be assigned during a 4-day work week
One of three different floors each day during a 4-day work week in 12 different ways, can be assigned to the nursing student.
To find the number of ways a nursing student can be assigned to one of three different floors each day during a 4-day work week, we need to use the multiplication principle of counting.
First, we need to determine the number of options the nursing student has for each day. Since she can be assigned to one of three different floors, she has 3 options each day.
To find the total number of ways she can be assigned over the 4-day work week, we multiply the number of options she has for each day by the number of days in the week:
3 options per day x 4 days = 12 total ways
Therefore, the nursing student can be assigned to one of three different floors each day during a 4-day work week in 12 different ways.
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Angie used 4 apples and 5 strawberries in her fruit salad. Salim used 7 apples and 9 strawberries. Did Angie and Salim use the same ratio of apples to strawberries? If not, who used the greater ratio of apples to strawberries?
Answer:
We can write a ratio between two quantities, x and y, as:
x to y.
To find if two ratios:
"a to b" and "c to d" are equal, we need to see if the quotientes:
a/b and c/d are equal.
Here we know that the ratios are:
4 apples to 5 strawberries, this gives the quotient 4/5 = 0.8
7 apples to 9 strawberries, this gives the quotient 7/9 = 0.78
So the quotients are different, which means that the ratios are not equal.
Now we want to see who used a greater ratio of apples to strawberries.
notice that in the numerator we used the number of apples, so as larger is the quotient, larger is the ratio of apples to strawberries.
We can see that the quotient of Angie is larger, then Angie used the greater ratio of apples to strawberries.
Simplify the expression by combining like terms.
15r - 7s + 2r + s
Answer:
17r - 6s
Step-by-step explanation:
Solve for x.
(13x-32)
S
T
V
(7x + 22)°
U
Answer:
x=9
Step-by-step explanation:
13x-32 and 7x+22 are equal to each other (angles) so
13x-32=7x+22
13x-7x=22+32
6x=54
x=54/6
x=9
how to determine if a piecewise function is continuous
For a function to be continuous at a point, it must be defined at that point, its limit must exist at the point, and the value of the function at that point must equal the value of the limit at that point. Discontinuities may be classified as removable, jump, or infinite.
Continuous piecewise function:A function is called piecewise continuous on an interval if the interval can be broken into a finite number of subintervals on which the function is continuous on each open subinterval (i.e. the subinterval without its endpoints) and has a finite limit at the endpoints of each subinterval.
A piecewise function is a function built from pieces of different functions over different intervals. For example, we can make a piecewise function f(x) where f(x) = -9 when -9 < x ≤ -5, f(x) = 6 when -5 < x ≤ -1, and f(x) = -7 when -1.
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PLEASE HELP ME I WILL GIVE U CREDIT
Answer:
1. x=60
2.x=5
3.x=8
4.x=10
Step-by-step explanation:
im assuming you want to find x value for each.
Answer:
1. 60
2. 5
3. 8
4. 10
Step-by-step explanation:
1. 115+(x+5)=180
x=60
2. 180-136=7x+9
35=7x
x=5
3. 37=6x-11
6x=48
x=8
4. 180-142=2(x+9)
38=2x+18
20=2x
x=10
solve the following quadratic equation 1(x+3)^2-1=0
Answer:
x=-2, -4
Step-by-step explanation:
1(x+3)^2-1=0
Add 1 to each side
1(x+3)^2-1+1=0+1
(x+3)^2=1
Take the square root of each side
sqrt((x+3)^2)=sqrt(1)
x+3 = ±1
x+3 = 1 x+3 = -1
Subtract 3 from each side
x+3-3 = 1-3 x+3-3 = -1-3
x = -2 x=-4
Answer:
X = -2 X = -4
Step-by-step explanation: