Step-by-step explanation:
we find the slope as factor of x in an equation like this
y = ax + b
we have here 6x + 4y = 64
we need to bring this into the standard form above :
4y = -6x + 64
y = -6/4 x + 16 = -3/2 x + 16
so, we know the original slope is -3/2.
remember, the slope is the ratio "y coordinate change / x coordinate change".
anyway, the perpendicular slope is turning the original slope upside-down and flips the sign.
so, it is
2/3
Frank is going to an amusement park that costs $36.00 for admission. Treats cost $4.00 each. Frank does not want to spend more than $52.00 in all.
Solve for x, where x equals the number of $4.00 treats Frank can buy.
A. x=3
B. x>4
C. x≤4
D. x<14
Answer:
B: x>4
Step-by-step explanation:
You want to make an inequality first:
36+4x>52
4x + 36 − 36 > 52−36
4x > 16
4x ÷ 4 > 16 ÷ 4
x > 4
Consider the following generic C comparison function and its assembly language representation C code: byte compbyte a,byte b)/a in rdi,b in rsi Assembly code cmpb %rsi,%rdi set_inst %a1 ret Your jobs(fill-in blank):now sh given values of a and b g SET instruction and the A.5 points set CI SF OF %al setg 47 23 B.5 points set h SF OF %a setl 23 47 C.5 points ZA SF OF %al set sete 23 23 D.5 points CF ZF SF OF 00%1 set b setne 23 47
The correct answer is D. setne 23 47. Based on the provided information, I understand that you have a comparison function in C code and its corresponding assembly code. You are asked to fill in the blanks by selecting the appropriate instructions based on the given values of a and b and the status flags SF, OF, ZF, and CF. Let's go through the options:
A. setg 47 23: This option is incorrect because setg is used to set a byte to 1 if the Greater flag (ZF=0 and SF=OF) is set, but the given values of a and b are 47 and 23, respectively, so it does not satisfy the condition for setg to be set.
B. setl 23 47: This option is incorrect because setl is used to set a byte to 1 if the Less flag (SF≠OF) is set, but the given values of a and b are 23 and 47, respectively, so it does not satisfy the condition for setl to be set.
C. sete 23 23: This option is incorrect because sete is used to set a byte to 1 if the Zero flag (ZF=1) is set, but the given values of a and b are 23 and 23, respectively, so it does not satisfy the condition for sete to be set.
D. setne 23 47: This option is correct. setne is used to set a byte to 1 if the Zero flag (ZF=0) is not set, which means the values of a and b are not equal. In this case, the given values of a and b are 23 and 47, respectively, so they are not equal, and setne should be used.
Therefore, the correct answer is D. setne 23 47
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Please help !! Don’t understand :((
Answer:
6
Step-by-step explanation:
6 ^ (1/4) ^ 4
We know a^ b^ c = a^(b*c)
6 ^ (1/4*4)
6^1
6
Answer:
C. 6
Step-by-step explanation:
Multiply the exponents on the expression
1/4 x 4 = 1
This simplifies to 6^1 or 6
solve the system of equations and choose the correct ordered pair. 4x+7y=47 and 5x-4y=-5
Answer: (3,5)
Step-by-step explanation: good luck!
Answer:
Colin got the job and he was very excited about this opportunity
tape<33333333333333333333333333333333333333333333
:) :) :) :) :) :) :) :) :) :) :) :) :) :0 :) :) :) :) :) :) :) :) :) :) :) :) : ): : )
Answer:
tape
Step-by-step explanation:
tape is tape
The length of a field measures 3.5 miles.
what does the length of the field measure in feet?
note: 1 mile = 5,280 feet
13,200 ft
15,840 ft
18,480 ft
21,120 ft
Answer:
18480 feet
Step-by-step explanation:
5280 feet are in a mile 3.5 ×5280=18480
10x1+2x60/10
Hi! Um I have only four questions on an assignment thats due Friday, this is one of them and I keep getting stuck, can someone please help me out?
Answer:
2
Step-by-step explanation:
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 5.8 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 26 engines and the mean pressure was 6.1 pounds/square inch with a standard deviation of 0.9. A level of significance of 0.05 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
The decision rule for rejecting the null hypothesis is:
If the calculated t-value is greater than 1.708, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.
To determine the decision rule for rejecting the null hypothesis, we need to perform a hypothesis test based on the given information. Let's set up the null and alternative hypotheses:
Null Hypothesis (H0): The mean pressure of the valve is 5.8 pounds/square inch.
Alternative Hypothesis (H1): The mean pressure of the valve is greater than 5.8 pounds/square inch (the valve performs above specifications).
We'll conduct a one-sample t-test since we have the sample mean, sample standard deviation, and sample size.
Given:
Sample mean (\(x^-\)) = 6.1 pounds/square inch
Sample standard deviation (s) = 0.9
Sample size (n) = 26
Level of significance (α) = 0.05 (corresponds to a 5% significance level)
To determine the decision rule, we need to find the critical t-value or the critical region for rejection. Since the alternative hypothesis is one-tailed (the mean pressure is expected to be greater than 5.8), we'll find the critical t-value for the upper tail.
Using the t-distribution table or a t-distribution calculator with (n-1) degrees of freedom (df = 26 - 1 = 25) and the significance level α = 0.05, we find the critical t-value.
The critical t-value at a 5% significance level for the upper tail is approximately 1.708.
Therefore, the decision rule for rejecting the null hypothesis is:
If the calculated t-value is greater than 1.708, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.
In summary, the decision rule for rejecting the null hypothesis is: Reject H0 if the calculated t-value is greater than 1.708.
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2jk / 3l^2
when j = -4, k = 5, and I = -3
Answer:
What????
Step-by-step explanation:
What is the measure of ZRMN?
1179
M
R
N
[Not drawn to scale)
2270
639
1170
1639
please help
i need it
Answer:
The answer of A= 3×5×5×5=375. In Exponential form as 3¹-5³.
The answer of B. The highest common factor of 375 and 150 is 75.
Step-by-step explanation:
hope it helps you.
Answer:
a)3 x 5 x 5 x 5 = 375
b) 75
Step-by-step explanation:
b)The gcf of 150 and 375 is 75.
Steps to find GCF
Find the prime factorization of 150
150 = 2 × 3 × 5 × 5
Find the prime factorization of 375
375 = 3 × 5 × 5 × 5
To find the gcf, multiply all the prime factors common to both numbers:
Therefore, GCF = 3 × 5 × 5
GCF = 75
Solve the following equation for Ω over the interval [0,2π), giving exact answers in radian units. If an equation has no solution, enter DNE. Multiple solutions should be entered as a comma-separated list. 2cos^2 (Ω)+sin(2Ω)=0
The solutions to the equation 2cos^2(Ω) + sin(2Ω) = 0 over the interval [0,2π) are Ω = π/2, Ω = 3π/2, Ω = 3π/4, and Ω = 7π/4.
The equation 2cos^2(Ω) + sin(2Ω) = 0 can be solved by using the trigonometric identity cos^2(Ω) + sin^2(Ω) = 1. Firstly, we can use the double-angle identity sin(2Ω) = 2sin(Ω)cos(Ω) to rewrite the equation as 2cos^2(Ω) + 2sin(Ω)cos(Ω) = 0.
We can then factor out 2cos(Ω) to obtain 2cos(Ω)(cos(Ω) + sin(Ω)) = 0. Thus, either cos(Ω) = 0 or cos(Ω) + sin(Ω) = 0.
If cos(Ω) = 0, then Ω = π/2 or Ω = 3π/2. If cos(Ω) + sin(Ω) = 0, then we can use the identity cos(Ω + π/4) = cos(Ω)cos(π/4) - sin(Ω)sin(π/4) = (1/√2)(cos(Ω) - sin(Ω))) to obtain cos(Ω) - sin(Ω) = 0, which gives Ω = 3π/4 or Ω = 7π/4.
Therefore, the solutions to the equation 2cos^2(Ω) + sin(2Ω) = 0 over the interval [0,2π) are Ω = π/2, Ω = 3π/2, Ω = 3π/4, and Ω = 7π/4.
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Question 3 of 10
What is the value of y?
210
y +10°
O
A. 40°
OB. 50°
O C. 60°
OD. 30°
50⁰
Answer:
y = 40 degrees
Step-by-step explanation:
All three interior angles of a triangle sum to 180 degrees.
2y + y+10 + 50 = 180
3y + 60 = 180
3y = 120
y = 40
Find the range of the graphed function.
Answer:
-6 ≤ y ≤ 9
Step-by-step explanation:
Answer:it’s d
Step-by-step explanation:
the number is added to 10 the result is multiplied by 6 and gave the product 108.what is the original number?
Answer:
number n = 8
Step-by-step explanation:
let the number be n then adding it to 10 gives 10 + n
multiplying this by 6 gives 108 , that is
6(10 + n) = 108 ( divide both sides by 6 )
10 + n = 18 ( subtract 10 from both sides )
n = 8
the original number is 8
) There are 8 children in Sophie's preschool class. During free time yesterday, 1 of them
chose to read books. What is the experimental probability that a randomly selected
preschooler would choose to read books today?
Using it's concept, it is found that there is a 0.125 = 12.5% experimental probability that a randomly selected preschooler would choose to read books today.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
For an experimental probability, these numbers of outcomes are taken from previous trials.
In this problem, in the previous trial, one out of eight students read a book, hence:
p = 1/8 = 0.125 = 12.5%.
There is a 0.125 = 12.5% experimental probability that a randomly selected preschooler would choose to read books today.
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Paul's time for swimming in the Ironman triathlon was 1 hour 25 minutes. Her time for viking was 5 hours longer than her swimming time. She ran for 4 hours 50 minutes. Assuming she took no breaks in between each event, how long did it take her to complete all three parts of the race?1 hour =60 minutes
It took Paul a total of 12 hours and 40 minutes to complete all three parts of the Ironman triathlon.
Paul’s time for swimming in the Ironman triathlon was 1 hour 25 minutes. Her time for biking was 5 hours longer than her swimming time, so her biking time was (1 hour + 5 hours) = 6 hours 25 minutes. She ran for 4 hours 50 minutes. The total time it took her to complete all three parts of the race is (1 hour 25 minutes) + (6 hours 25 minutes) + (4 hours 50 minutes) = 12 hours 40 minutes.
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A volleyball team won 7 games during their 21-
game season. What is the ratio of losses to total
games?
Answer:
The ratio of losses to the total number of games is 2:3.Step-by-step explanation:
Game loss: 21 - 7=> 14 gamesTotal games: 14 + 7=> 21 games=> 14:21 => 2:3Hence, the ratio of losses to the total number of games is 2:3.
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The aquarium has a fish tank in the shape of a prism. if the tank is 3/4 full of water, how much water is in the tank?
The amount of water in the tank can be calculated by multiplying 3/4 to the volume of the tank: 3/4 x V = (3/4)L x W x H.
To calculate the amount of water in the aquarium's fish tank in the shape of a prism,
you would need to know the dimensions of the tank and then multiply the volume of the tank by 3/4.
Let's assume that the aquarium has a rectangular prism shape,
the amount of water in the tank would depend on the dimensions of the tank.
Let's assume the tank has a length of L, a width of W, and a height of H.
The volume of the tank can be calculated by multiplying the length, width, and height together: V = L x W x H.
If the tank is 3/4 full of water, the volume of water in the tank would be 3/4 of the total volume of the tank.
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Explain geometrically or algebraically how magnitude of a complex number is equivalent to Pythagorean Theorem.
We can see here that a complex number can be geometrically represented as a point in the complex plane, with the horizontal axis standing for the real part and the vertical axis for the imaginary part.
What is Pythagorean Theorem?A basic mathematical theorem relating to the sides of a right triangle is known as the Pythagorean Theorem.
|z| = √(a² + b²) - This equation demonstrates that a complex number's magnitude is equal to the Pythagorean Theorem.
We can then see here the Pythagorean Theorem, which determines the length of the hypotenuse of a right triangle, is comparable to the magnitude of a complex number.
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You take a loan our for 2000.00, with an interest rate of 5.5% over a period of 3 years. What is the total amount owed?
Answers should be in $1,000.00 form (include dollar sign ($), comma (,), and period when necessary(.))
The total amount owed to the lender equals $2,330.
How do we calculate the amount owed?In our calculate, we are using a simple interest because it is only an interest charge that borrowers pay lenders for a loan. It is calculated by using the principal only and does not include compounding interest.
Data
Loan = $2000.00
Interest rate = 5.5%
Time = 3 years
The total amount owed:
= Loan + Interest.
To get our Interest, we will use "S.I. = PRT/100"
= 2000.00 * 5.5% * 3
= $330
Hence, the total amount owed equals to
= $2,000 + $330
= $2,330.
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What is 80 Inches in Feet?
When 80 inches is converted to feet it will be 6.66667 feet.
How to convert inches to feet?Divide 80 by 12 to convert 80 inches to feet. Using a calculator or long division, we can calculate that 80 inches equals 6.66667 feet. As a result, 80 inches equals 6.66 feet. It is important to note that inches and feet are both length units, so when you convert between the two, you are essentially moving the decimal point in the number two places to the left or right depending on which unit you are converting to. To convert inches to feet, divide the number of inches by 12, because a foot is 12 inches long. Similarly, to convert feet to inches, multiply the number of feet by 12, because there are 12 inches in a foot.Therefore, 80 inches equals 6.66667 feet, and inches to feet can be converted by dividing the number of inches by 12.To learn more about inches refer to :
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.help me additional solve 2 step word problems. All operations
Answer:
1x + 2y = z
Step-by-step explanation:
Here x is the price of jeans and y is the price of T-shirts
z is total money spend
what is $20.00 take away $4.60
what is the absolute deviation of 10 2 6 12 6 10 4 12
Answer:
3
Step-by-step explanation:
To find the absolute deviation, we need to find the difference between each data point and the mean of the data set, take the absolute value of each difference, and then calculate the average of those absolute differences.
First, let's find the mean of the data set:
(10 + 2 + 6 + 12 + 6 + 10 + 4 + 12) / 8 = 8
The mean is 8.
Next, we find the difference between each data point and the mean:
|10 - 8| = 2
|2 - 8| = 6
|6 - 8| = 2
|12 - 8| = 4
|6 - 8| = 2
|10 - 8| = 2
|4 - 8| = 4
|12 - 8| = 4
Now we take the average of those absolute differences:
(2 + 6 + 2 + 4 + 2 + 2 + 4 + 4) / 8 = 3
The absolute deviation of the data set is 3.
A function is represented by the table. x y 3 -2 5 -26 7 -50 The rate of change of the function represented in the table is . For the given x- and y-values, the function is .
Answer:
Step-by-step explanation:
Here is your x/y table, a bit more organized:
x | 3 5 7
y | -2 -26 -50
The rate of change is the same thing as the slope. If the slope between coordinates 1 and 2 is the same as the slope between coordinates 2 and 3, we have a linear function in the form y = mx + b, where m is the slope and b is the y-intercept. We will have to solve for b if we want to use this form. Or we could use the point-slope form and not have to solve for b. Let's do that. But first things first. The slope:
Between the first 2 coordinates (3, -2) and (5, -26):
\(m=\frac{-26-(-2)}{5-3}=\frac{-24}{2}=-12\)
Between coordinates 2 and 3 which are (5, -26) and (7, -50):
\(m=\frac{-50-(-26)}{7-5} =\frac{-24}{2}=-12\)
The slopes are the same, so this in fact a linear function with m = -12. But that's all we have, so let's use the point-slope form of a line to write the equation:
\(y-y_1=m(x-x_1)\) where \(x_1\) and \(y_1\) are coordinates found in the table. Plugging in the first coordinate along with the slope of -12:
\(y-(-2)=-12(x-3)\) and
y + 2 = -12x + 36 and
y = -12x + 36 - 2 so the equation for the line in slope-intercept form is
y = -12x + 34
Regardless of which coordinate point you choose as your x1 and y1, I promise you that you will still get the same equation for the line!
Answer:
hi its -12 and decreasing.
Consider the following functions.
F(x)= 2x^2+4x+10
G(x)= 3x-11
H(x)= 3x^2+x^2-21
The value of H(F(-2)) is
Answer:
The value of H(F(-2)) is 379
Step-by-step explanation:
Soln,
Given,
F(x)= 2x^2+4x+10
G(x)= 3x-11
H(x)= 3x^2+x^2-21
Now,
F(-2) = 2(-2)^2 + 4×(-2) + 10
= 2×4 + (-8) + 10
= 8-8+10
= 18 - 8
= 10
Again,
H(F(-2)) = 3x^2 + x^2 - 21
Putting the value of F(-2) , we get
H(10) = 3×10^2 + 10^2 - 21
= 3×100 + 100 - 21
= 300 + 100 - 21
= 400 - 21
= 379
Therefore, H(F(-2)) = 379.
Suppose that both the radius and height ℎ of a circular cone are increasing at a rate of 2cm/s. How fast is the volume of the cone increasing when =20cm and ℎ=15cm? (simplify to one decimal place
1727.88 cm³/sec is the volume of the cone .
How much volume do a cone and a cylinder have?
The volume of a sphere is calculated using the formula 43r3. The equation is r2h for cylinders. A cone has a volume that is 13 (or 13r2h) that of a cylinder.Two right circular cone formulas are necessary to understand: (r2h)/3 is the formula for calculating a cone's volume. The formula for a right circular cone's surface area is rs+r2.Volume of cone V = 1/3πr²h
r/h = 15/20 = 3/4
V = 1/3πr²h
dv/dt = 1/3 [π[r²dh/dt + 2rhdr/dt]
dr/dt = dh/dt = 2cm/sec
r = 15 cm h = 20 cm
dv/dt = π/3[15² × 2 + 2 × 15 × 20 × 2 ]
550π = 1727.88 cm³/sec
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Please help!!
2. Solve x^2 - 6x = -5 by completing the square.
Show all work for the steps below.
(a) For x^2 - 6x + c = -5 + c, what value of c is used to complete the square?
(b) Substitute the value for c in Part 2(a). Then complete the square to rewrite the equation as the square of a binomial.
(c) Solve for x.
Answer:
c=9
(x-3)^2 = 4
x= 1,5
Step-by-step explanation:
x^2 - 6x = -5
Take the coefficient of x
-6
Divide by 2
-6/2 = -3
Square it
(-3)^2 = 9
Add this to each side
x^2 - 6x + 9 = -5 + 9
x^2 -6x+9 = 4
(x-3)^2 = 4
Take the square root of each side
sqrt((x-3)^2) = ±sqrt(4)
x-3 = ±2
Add 3 to each side
x-3+3 = 3±2
x = 3+2 x = 3-2
x =5 x=1
A random sample of 25 professional basketball players shows a mean height of 6 feet, 5 inches with a 95onfidence interval of 0.4 inches. explain what this indicates.
The average height of professional basketball players in the sample is 6 feet, 5 inches, and we have a high level of confidence (95%) that the true population mean height falls within a range of 6 feet, 5 inches ± 0.4 inches.
The given information states that a random sample of 25 professional basketball players has a mean height of 6 feet, 5 inches with a 95% confidence interval of 0.4 inches.
The mean height of 6 feet, 5 inches represents the average height of the basketball players in the sample. This indicates that, on average, the players in the sample have a height of 6 feet, 5 inches.
The confidence interval of 0.4 inches indicates the margin of error associated with the sample mean. In this case, the confidence interval of 0.4 inches means that we are 95% confident that the true population mean height falls within a range of 6 feet, 5 inches ± 0.4 inches. This means that if we were to repeat the sampling process multiple times and calculate the confidence interval each time, 95% of the intervals would capture the true population mean height.
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