Answer:2,2
Step-by-step explanation:
The four ordered pairs relating the side length and the corresponding perimeter are (3,20), (4,24), (5,28), and (6,32).
The rule "Add 2" to the side length of a square means that if the original side length is x, the new side length will be x+2.
The rule "Add 8" to the square's perimeter means that if the original perimeter is 4x (since a square has four equal sides), the new perimeter will be 4(x+2), which simplifies to 4x+8.
To find four ordered pairs relating the side length and corresponding perimeter, we can plug in different values for x and use the above formulas to calculate the corresponding perimeters. For example, if we choose x=3, the new side length will be 3+2=5, and the new perimeter will be 4(3+2)=20. So, one ordered pair would be (3,20).
Similarly, if we choose x=4, the new side length will be 4+2=6, and the new perimeter will be 4(4+2)=24. So, another ordered pair would be (4,24).
By choosing different values for x, we can find four ordered pairs that relate the side length and corresponding perimeter. These ordered pairs are (3,20), (4,24), (5,28), and (6,32).
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1) Determine a. b if || a |= 6,|| b ||= 4 and the angle between the vectors 0 = π/3 ?
A) 24
B)-12
C) 12
D) None of the above
The dot product of vectors a and b || a |= 6,|| b ||= 4 and the angle between the vectors θ = π/3 is (c) 12.
The dot product of two vectors, we can use the formula:
a · b = ||a|| ||b|| cos(theta)
where ||a|| and ||b|| represent the magnitudes of vectors a and b, respectively, and theta is the angle between the vectors.
In this case, we are given that ||a|| = 6, ||b|| = 4, and the angle between the vectors is theta = π/3.
Substituting these values into the formula, we have:
a · b = 6 × 4 × cos(π/3)
To evaluate cos(π/3), we can use the fact that it is equal to 1/2. So we have:
a · b = 6 × 4 × 1/2
= 12
Therefore, the dot product of vectors a and b is 12.
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what is the point-slope form of a line with slope -4 that contains the point (-2, 3)
Answer:
\(y - 3 = - 4(x + 2)\)
special right triangles
Answer:
what is that a question or...
Answer:
what?? if your talking about the angle of one, that would be 90 degrees.
This is the 4th question!!
Answer:
0.25
yw have a good day bro
Answer:
(n/4)-1
Step-by-step explanation:
total slices = n
total number of people =4
each people may be eat = n/4 slices
here Harris eats 1 slice fewer
then Harris eats (n/4)-1 slices
hope this helps you
a 90% confidence interval for the proportion of americans with cancer was found to be (0.185, 0.210). the margin of error for this confidence interval is:
The margin of error for the 90% confidence interval is 0.012.
Given, a 90% confidence interval for the proportion of Americans with cancer was found to be (0.185, 0.210)
To calculate the margin of error, we can use the following formula:
margin of error = (upper limit of the confidence interval - lower limit of the confidence interval) / 2
Substitute the given values,
margin of error = (0.210 - 0.185) / 2 = 0.0125 ≈ 0.012
Therefore, the margin of error for the confidence interval (0.185, 0.210) is 0.012.
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In Problems 23–34, find the integrating factor, the general solu- tion, and the particular solution satisfying the given initial condition. 24. y' – 3y = 3; y(0) = -1
The particular solution is:
y = -1 - e^(3x)
We have the differential equation:
y' - 3y = 3
To find the integrating factor, we multiply both sides by e^(-3x):
e^(-3x)y' - 3e^(-3x)y = 3e^(-3x)
Notice that the left-hand side is the product rule of (e^(-3x)y), so we can write:
d/dx (e^(-3x)y) = 3e^(-3x)
Integrating both sides with respect to x, we get:
e^(-3x)y = ∫ 3e^(-3x) dx + C
e^(-3x)y = -e^(-3x) + C
y = -1 + Ce^(3x)
Using the initial condition y(0) = -1, we can find the value of C:
-1 = -1 + Ce^(3*0)
C = -1
So the particular solution is:
y = -1 - e^(3x)
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Every month Jamal adds two new books to his library. Which of the following types of functions
best models the number of books in Jamal's library as a function of time?
The types of function that best models the number of books in Jamal's library as a function of time is A. increasing linear.
What is an equation?A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
In this case, it's important to note that this is a linear equation. Also, every month Jamal adds two new books to his library. This implies that it's increasing.
In conclusion, the correct option is A.
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Complete question
Every month Jamal adds two new books to his library. Which of the following types of functions
best models the number of books in Jamal's library as a function of time?
Increasing linear
Decreasing linear
Increasing exponential
Decreasing exponential
When completing a dilation, how do the
angles and side lengths of the preimage
relate to the angles and side lengths of the
image?
Answer:
The angles do not change, but the side lengths can either be increased or decreased depending on the scaling factor used.
Step-by-step explanation:
A dilation is a type of rigid transformations that involves either increasing or decreasing the dimensions of a given object with respect to a required factor.
The size of the angles of the preimage and image are congruent. This implies that the value of the angles are not affected by the process. But the side length of the image can be either longer or shorter than that of the preimage depending on the scaling factor used.
What would be the fraction when you rewrite 8-2?
Answer:
The fraction would be 6 or 6/1 because 8-2=6.
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
Using the weighted average approach to process costing, floridyne would use what number of equivalent units in 2019 to calculate the cost per equivalent unit for direct labor?
Floridyne would use an equivalent unit labor of 166,340 unit to calculate the cost per equivalent unit for direct labor.
How do we get the equivalent unit labor?Under weighted average, we do not make distinction between started and finished and just finished. Thus we work with finished and ending WIP only:
Finished 162,000
Ending - WIP 6,200 ending at 70% complete
Equivalent units for labor = Finished + Percentage of completion ending units
= 162,000 + 6,200 x 70%
= 166,340
Therefore, he would use an equivalent unit labor of 166,340 unit to calculate the cost per equivalent unit for direct labor.
Missing word "Floridyne, Inc. manufactures mouthwash. They had no finished goods inventory at the beginning of 2019. They have only one processing department for this product. A review of the company’s inventory records shows the following: At the beginning of January 2019, Floridyne has 4,500 gallons of mouthwash in process. (costs $8,410 for materials, 1,663 for labor and 4,990 for overhead) During 2019, Floridyne finishes/transfers 162,000 gallons of mouthwash. On December 31, 2019, Floridyne has 6,200 gallons of mouthwash that is 70% complete. Direct materials are added half at the beginning of the process and half after the process is 60% complete. During 2019 $349,000 of direct materials and $92,500 of direct labor were added. Using the weighted average approach to process costing,"
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Evaluate. Remember Order of
Operations! (PEMDAS)
4-(7+2)÷3= [?]
Answer: 1
Yessssssssssssssss
A basketball team scored 50 points in a game last week. This week, they scored 55 points. What was the percent increase in points scored from last week to this week?
En tu trabajo de ciencias te toco realizar un experimento de cultivó de hongos en una pieza de pan de harina de trigo y una tortilla de maiz. La secuencia de revisión para la toma de datos será, en el primer caso, cada 15 dias; y en el otro, cada 20 por tres meses. ¿A los cuantos días te tocaría revisar ambos cultivos?
Responder:
60 días
Explicación paso a paso:
Primer caso = cada 15 días
Segundo caso = cada 20 días
El número de días en los que habrá que comprobar ambos cultivos se puede obtener encontrando el mínimo común múltiplo de 15 y 20
Múltiplo de:
15:15, 30, 45, 60, 75, 90, 105
20:20, 40, 60, 80, 100, 120
El mínimo común múltiplo de 20 y 15 es 60
El día en el que habrá que controlar ambos cultivos es de 60 días
Figure A was translated 5 units left to create Figure B.
Figure B was reflected over the line y=1 to create Figure
C. Figure C was rotated 90 degrees clockwise around
the origin to create Figure D. Are Figure A and Figure D
congruent?
А A
Prove your answer using any tools and explain
reasoning in the box below:
10
Answer:
a
Step-by-step explanation:
At noon, the temperature at a mountaintop research center is 11 degrees. Overnight the temperature drops to -19 degrees. Which expression represents how much the temperature changed? A. (191 B. |-191 C. |-301 D. |-381
if anyone wants to answer my last 2 questions I would really appreciate
Answer: -30
Step-by-step explanation:
My answer is correct because, All you have to do is subtract all the numbers by 11 and the one that has the sum -19 is the correct choice. In this case -30 does and we can make sure were orrect by subtracting 11 by -19 and that equals -30.
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Salmon and Federico are choosing a number between 1 & 100, picking a color from ROY G BIV, and picking a letter out of "INDIANA". Either one will go first. State the probability of each situation as a percentage, fraction and decimal.
1. Salmon chooses a composite number, A cool color( G BIV) and an A.
2.Federico chooses a prime number, A color starting with a vowel, and a constanant.
3.Either chooses a number divisible by 7 or 8, any color, and a vowel.
4. Either chooses a number divisible by 5 or 4, blue or green, and L or N
To determine the probabilities, we need to consider the number of favorable outcomes for each situation divided by the total number of possible outcomes.
1.Probability: 228/700 = 0.3257 ≈ 32.57% ≈ 32.6% (rounded to one decimal place)
2. Probability: 200/3500 = 0.0571 ≈ 5.71% ≈ 5.7%
3. Probability: 504/2100 = 0.24 ≈ 24% (exact fraction)
4.Probability: 180/1400 = 0.1286 ≈ 12.86% ≈ 12.9% (rounded to one decimal place)
1. Salmon chooses a composite number, a cool color (G, B, I, or V), and an A:
a) Composite numbers between 1 and 100: There are 57 composite numbers in this range.
b) Cool colors (G, B, I, or V): There are 4 cool colors.
c) The letter A: There is 1 A in "INDIANA."
Total favorable outcomes: 57 (composite numbers) * 4 (cool colors) * 1 (A) = 228
Total possible outcomes: 100 (possible numbers) * 7 (possible colors) * 1 (possible letter) = 700
Probability: 228/700 = 0.3257 ≈ 32.57% ≈ 32.6% (rounded to one decimal place)
2. Federico chooses a prime number, a color starting with a vowel (E or I), and a consonant:
a) Prime numbers between 1 and 100: There are 25 prime numbers in this range.
b) Colors starting with a vowel (E or I): There are 2 colors starting with a vowel.
c) Consonants in "INDIANA": There are 4 consonants.
Total favorable outcomes: 25 (prime numbers) * 2 (vowel colors) * 4 (consonants) = 200
Total possible outcomes: 100 (possible numbers) * 7 (possible colors) * 5 (possible letters) = 3500
Probability: 200/3500 = 0.0571 ≈ 5.71% ≈ 5.7% (rounded to one decimal place)
3. Either chooses a number divisible by 7 or 8, any color, and a vowel:
a) Numbers divisible by 7 or 8: There are 24 numbers divisible by 7 or 8 in the range of 1 to 100.
b) Any color: There are 7 possible colors.
c) Vowels in "INDIANA": There are 3 vowels.
Total favorable outcomes: 24 (divisible numbers) * 7 (possible colors) * 3 (vowels) = 504
Total possible outcomes: 100 (possible numbers) * 7 (possible colors) * 3 (possible letters) = 2100
Probability: 504/2100 = 0.24 ≈ 24% (exact fraction)
4. Either chooses a number divisible by 5 or 4, blue or green, and L or N:
a) Numbers divisible by 5 or 4: There are 45 numbers divisible by 5 or 4 in the range of 1 to 100.
b) Blue or green colors: There are 2 possible colors (blue or green).
c) L or N in "INDIANA": There are 2 letters (L or N).
Total favorable outcomes: 45 (divisible numbers) * 2 (possible colors) * 2 (letters) = 180
Total possible outcomes: 100 (possible numbers) * 7 (possible colors) * 2 (possible letters) = 1400
Probability: 180/1400 = 0.1286 ≈ 12.86% ≈ 12.9% (rounded to one decimal place)
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I have the question about Algebra II, 900,000 = 650,000 (1.04)^t In this problem I have to find ^t and I know the answer is 8.297. But I don't know why and how did become 8.297, can someone explain to me? Thank you.
To find the value of t, we used logarithms to isolate the exponential term and then divided by the logarithm of the base to solve for t. The result is approximately 8.297.
To solve the equation 900,000 = 650,000 * (1.04)^t for t, we need to isolate the exponential term and take the logarithm of both sides.
Let's go through the steps:
Start with the equation: 900,000 = 650,000 * (1.04)^t
Divide both sides of the equation by 650,000 to isolate the exponential term:
900,000 / 650,000 = (1.04)^t
Simplify the left side of the equation:
1.384615385 = (1.04)^t
Take the logarithm (base 10 or natural logarithm) of both sides. Let's use the natural logarithm (ln):
ln(1.384615385) = ln((1.04)^t)
Apply the logarithmic property: ln(a^b) = b * ln(a)
ln(1.384615385) = t * ln(1.04)
Calculate the natural logarithm of 1.384615385 using a calculator:
ln(1.384615385) ≈ 0.3239
Substitute the value of ln(1.384615385) back into the equation:
0.3239 = t * ln(1.04)
Divide both sides of the equation by ln(1.04) to solve for t:
t = 0.3239 / ln(1.04)
Calculate the natural logarithm of 1.04 using a calculator:
ln(1.04) ≈ 0.0392
Substitute the value of ln(1.04) back into the equation:
t = 0.3239 / 0.0392
Divide 0.3239 by 0.0392 using a calculator:
t ≈ 8.297
Therefore, the value of t is approximately 8.297.
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2. The area of this trapezoid is 24.5 ft².
3 ft
4 ft
What is the height of the trapezoid? Write the formula first then SHOW YOUR WORK
Plssss I need the answer fasttttt
The height of the trapeziod is 7 feet
How to determine the height of the trapezoidThe formula used for calculating the area of a trapezoid is expressed with the equation;
A = (a + b)/2 h
Such that the parameters in the equation are;
A is the area of the trapezoid.a is the length of its base.b is the length of its base.h is the height of the trapezoid.Substitute the values, we have;
24. 5 = (3 + 4)/2 h
add the values
24. 5 = 7//2 h
Divide the values
24.5 = 2.5 h
Make 'h' the subject of formula by dividing both sides by 3.5, we get;
h = 24.5/3.5
h = 7 feet
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I dive to 17 metres for 47 minutes. after a 30 minute surface interval i do a second dive to 17 metres. losing track of time, i notice my bottom time is now 25 minutes. according to the general rules, what should i do
If your bottom time is 25 minutes, general rules recommend that you ascend immediately to 15 feet then remain there for 8 minutes. You should then go to the surface and not dive for 6 hours.
What do general rules on diving say about a 25 minute bottom time?The recommended bottom time is 24 minutes which means that staying there for 25 minutes will have exceeded this recommendation.
You should immediately ascend to 15 feet or 5 meters, and then wait there for 8 minutes. Then return to the surface and avoid diving for the next 6 hours.
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FIRST CORRECT ANSWER WILL GET BRAINLIEST
For the given graph below, what is the slope and the equation?
A)zero, x = 1
B)undefined, x = 1
C)zero, y = 1
D)undefined. y = 1
Answer:
b
Step-by-step explanation:
vertical line through x at one
vertical lines have undefined slopes
can take two points to verify (1,1) (1,2) m= 2-1
1-1
1
0 undefined zero in denominator
You are checking in a customer’s bag for a flight out of the country. There is a 50-pound weight limit per bag. The customer’s bag weighs 47 pounds. The country the customer is flying to needs the weight of the bag in kilograms to determine compliance.
Answer:
21.3188kg or 21.3kg
Step-by-step explanation:
As one kilogram is equal to 2.20462 pounds we can calculate the weight in kilograms by taking 2.20462 / 47 and we get 21.3188kg
Can someone help me with this question, please?.
Answer:
a) A. Grouped and C. Discrete
b) 0<t≤2
c) 15%
Step-by-step explanation:
Explanation for b):
11 40 53 95 141
The group of 0<t≤2 contains the median.
Explanation for c):
11+40+53+95+141= 340
11+40=51
51/340= .15= 15%
With Alpha set to .05, would we reduce the probability of a Type
I Error by increasing our sample size? Why or why not? How does
increasing sample size affect the probability of Type II Error?
With Alpha set to .05, increasing the sample size would not directly reduce the probability of a Type I error. The probability of a Type I error is determined by the significance level (Alpha) and remains constant regardless of the sample size.
However, increasing the sample size can indirectly affect the probability of a Type I error by increasing the statistical power of the test. With a larger sample size, it becomes easier to detect a statistically significant difference between groups, reducing the likelihood of falsely rejecting the null hypothesis (Type I error).
Increasing the sample size generally decreases the probability of a Type II error, which is failing to reject a false null hypothesis. With a larger sample size, the test becomes more sensitive and has a higher likelihood of detecting a true effect if one exists, reducing the likelihood of a Type II error. However, it's important to note that other factors such as the effect size, variability, and statistical power also play a role in determining the probability of a Type II error.
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What is the slope of the line perpendicular to y 1 4x 10?
The slope of the line perpendicular to the given line is equal to -4/1.
The equation is in the form y=mx+b
so, y=(1/4)x -10
First, find the slope of the line which is the value being multiplied by x. Therefore m=1/4
To find the slope perpendicular to the line you must find the negative reciprocal of 1/4. (Which just means change the sign then flip the fraction)
Multiplying 1/4 by -1 which is -1/4
Then flip the fraction and keep the sign with the numerator to find the reciprocal. So now it’s -4/1
Thus, the slope of the line perpendicular to the given line is equal to -4/1.
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The equation is in the form y=mx+b
so, y=(1/4)x -10
First, find the slope of the line which is the value being multiplied by x. Therefore m=1/4
Multiplying 1/4 by -1 which is -1/4
Then flip the fraction and keep the sign with the numerator to find the reciprocal. So now it’s -4/1
If 12 out of 15 people recycle aluminum cans, how many people out of 1 million would you expect to recycle? ( Answer fast please!! Due in 20 minutes thank you !)
Answer:
800,000 people
Step-by-step explanation:
A company sells widgets. The amount of profit, y, made by the company, is related to
the selling price of each widget, x, by the given equation. Using this equation, find out
what price the widgets should be sold for, to the nearest cent, for the company to
make the maximum profit.
-5x2 + 222x – 1510
please help!
Answer:
-335230
Step-by-step explanation:
thats the answer
Answer:
22.20
because it takes the 0 away
The kindergarten section of Lehigh Valley has 12 classrooms. If each classroom can accomodate 15 kids, how many kids can the kindergarten section accomodate in all?
Answer: 180
Step-by-step explanation:
Since there are 12 classrooms and there can be 15 kids in each classroom you would do 12 times 15 . You would have 60 plus 120. This gives you 180.
Graph the line with the equation y= x - 7
Put ur first point at -7... Then rise 1 run 1 and keep going.
hope it helps comment if you have any questions and have an amazing day
The graph of y = x -7 is given below.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
Given:
The linear equation,
y = x -7.
Comparing with the slope-intercept form:
y = mx + b, where m is the slope and b is the y-intercept.
m = 1 and b = -7.
That means, when we draw the graph, we can rise 1 unit and run 1 unit.
Substitute the assumed value of x to get the value of y.
Put x = 0, we get,
y = -7.
And put x = 7, then y = 0
That means, (7,0) and (-7, 0) are the intercepting coordinates.
And the graph is given in the attached image.
Therefore, graph of y = x -7 is given.
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HELLPPPPP 50 POINTSSSSSS
THERE ARE 2 IMAGES!
Answer:
Alternate interior: angle 2 and angle 13
Vertical: angle 12 and angle 15
Alternate exterior: angle 5 and angle 10
No relationship: angle 1 and angle 16
Corresponding: angle 14 and angle 16
Consecutive interior: angle 4 and angle 11
Answer:
Vertical: angle 12 and angle 15
Alternate exterior: angle 5 and angle 10
No relationship: angle 1 and angle 16
Corresponding: angle 14 and angle 16
Consecutive interior: angle 4 and angle 11Step-by-step explanation:
Evaluate the line integral by the two following methods.
Image for Evaluate the line integral by the two following methods. Integrate xy dx + x2y3 dy C is counterclockwise aroun
xy dx + x2y3 dy
C is counterclockwise around the triangle with vertices (0, 0), (1, 0), and (1, 4)
(a) directly
(b) using Green's Theorem
The line integral in both cases is 52/3
Given,
a) The line integral; L = ∫c xy dx + x² y³ dy
Where C is counterclockwise around the triangle with vertices (0, 0),
(1, 0) and (1, 4)
Our first line integral is
L₁ = ₁∫₍₀, ₀₎ ⁽¹ ⁰⁾ xy dx + x² y³ dy
The equation of this line is y = 0, x varies from 0 to 1.
L₁ = 0
Our second line integral is
L₂ = ₁∫₍₁, ₀₎ ⁽¹ ⁴⁾ xy dx + x² y³ dy
The equation of this line is x = 0 and y varies from 1 to 4.
L₂ = 64/3
The third line integral is
L₃ = ∫₁⁰ xy dx + x² y³ dy
The equation of this line is y = 4x and x varies from 0 to 1.
L₃ = -4
The value of the line integral is
L = L₁ + L₂ + L₃ = 0 + 64/3 + (-4) = 52/3
b) The second part requires the use of Green's Theorem to evaluate:
This is given by:
∫c Pdx + Qdy = ∫ ∫ R Qy - Px dA
∫c xy dx + x² y³ dy = ∫ ∫R 3x² y² - ydA
We choose our region of integration parallel to the y-axis.
∫c xy dx + x² y³ dy
= ∫¹₀ ∫⁴ˣ₀ 3x² y² - y dy dx
= ∫¹₀ x² y³ - 1/4 |y²|²ˣ₀ dx
= ∫¹₀ 64x⁵ - 4x² dx = 52/3
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