Answer:
221
Step-by-step explanation:
Make a proportion.
182/14 = x/17
182 x 17 divided by 14 is 221
Answer:
221 points
Step-by-step explanation:
We can set up a ratio of points to games
182:14
We can simplify this ratio into
13:1
This means he can score 13 points in 1 game. Now we can set up an equation to find how many he will score in 17 games.
\(\frac{13}{1} =\frac{x}{17} \)
Cross multiply
x=221
He will score 221 points
A fisheries research report gives the following regression equation for the relationship between the length(L) in cm and weight (W) in grams, of the gracile lizardfish, a small marine fish that lives in the Indian Ocean:
lnW=!5.36+3.216lnL
What is the predicted weight of a lizardfish that was 12 cm long, based on this model?13.80 gram
The predicted weight of a lizardfish that is 12 cm long, based on the given model, is approximately 13.80 grams.
The predicted weight of a lizardfish that is 12 cm long, based on the given regression model lnW = -5.36 + 3.216lnL, is approximately 13.80 grams.
To calculate the predicted weight, we substitute the value of L = 12 cm into the regression equation. Taking the natural logarithm of both sides, we get:
lnW = -5.36 + 3.216ln(12)
Evaluating the right-hand side of the equation, we have:
lnW ≈ -5.36 + 3.216ln(12)
≈ -5.36 + 3.216(2.48491) [ln(12) ≈ 2.48491]
≈ -5.36 + 7.99604
≈ 2.63604
Taking the inverse of the natural logarithm (exponential function), we find:
W ≈ e^(2.63604)
≈ 13.80 grams
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expressions are equivalent. If so, tell what property is applied. 8 × 1 and 8
Answer:
Step-by-step explanation:
Identity property of multiplication
(4 +5i)(4 – 5i)= ….?
Answer 41
Step-by-step explanation:
If you need me to show you how just comment
Answer:
73
41
always
Step-by-step explanation:
Just completed it
A pancake requires 4 cups of flour for every 16 pancakes. How much flour is used per pancake?
Answer:
The correct answer is 0.25 cups of flour also written as 1/4 cups of flour
Step-by-step explanation:
HAVE A GOOD DAY!
Answer:
1/4 cup of flour for every pancake
Step-by-step explanation:
Divide 16 by 4 to get 4
Divide 4 by 4 to get 1
Divide 1 by 4 to get 1/4.
So a pancake requires 1/4 cup of flour for every pancake.
GIVE ME A BEST REASON WHY WE NEED TO KNOW HOW TO SOLVE MATH? AND HOW IT IS IMPORTANT TO OUR DAILY LIVING.. DISCUSS YOUR ANSWER IN 3 PARAGRAPHS
Well in order to know how many meals a day you eat, you need to know math. Math is important because without math, we won't understand easy logic on numbers. Math was created to understand the universe and all things. Math is important because it helps us exactify things and not make dangerous mistakes. Math also allows us to get good, if not great jobs when we are older. I think Math is important because without math our daily lives would be sloppy, and almost sad like.
Solve for x.
4x = 36
x = [?]
Answer:
Step-by-step explanation:
4x is in a multiplication form
4x=36
meaning a number when multiplied with 4 gives the answer 36
hence in order to find the answer
36 divided by 4 which is equivalent to 9
answer is 9
Answer: \(x = 9\)
Step-by-step explanation:
We must isolate \(x\) on one side of the equation in order to solve the equation \(4x = 36\) for \(x\).
Step 1: Divide both sides of equation by 4:
\(\frac{4x}{4} = \frac{36}{4}\)
Step 2: Simplify
\(x = 9\)
Therefore, the solution to the equation is \(x = 9\).
----------------------------------------------------------------------------------------------------------
FAQWhat does isolating x mean?Rearranging an algebraic equation so that \(x\) is on one side and all other terms are on the other side of the equal sign is known as isolating \(x\).
Solve the piven differential equatice by separation of variables. dy - (y-2)^2 dx = 0
To solve the given differential equation by separation of variables, we'll rearrange the equation and integrate both sides.
Starting with the given differential equation:
dy - (y - 2)^2 dx = 0
Rearranging the terms:
dy = (y - 2)^2 dx
Now, we can separate the variables:
dy / (y - 2)^2 = dx
Integrating both sides:
∫ dy / (y - 2)^2 = ∫ dx
Let's evaluate the integrals separately.
For the left-hand side:
∫ dy / (y - 2)^2
Using a substitution, let u = y - 2. Then, du = dy.
The integral becomes:
∫ du / u^2
Integrating, we have:
-1 / u = -1 / (y - 2)
Now, for the right-hand side:
∫ dx = x + C
Combining the results:
-1 / (y - 2) = x + C
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Solve the inequality: y - 18 < 55
Answer:
y < 73
Step-by-step explanation:
y−18+18<55+18
y < 73
Given that Fx)=x2-4 and g(x) = 1- x, find (f - g)(2), if it exists.
Replace x with 2 in each equation, then subtract g from f:
f(x) = x^2 -4 = 2^2 -4 = 4-4 = 0
g(x) = 1-x = 1-2 = -1
f-g = 0 - -1 = 1
The answer is 1
5. Let f(x)=x/1−x . Compute the derivative of f at a=4, showing all work. Then write the equation for the tangent line to f at a=4.
Let f(x)=x/1−x , the equation for the tangent line to f at a=4 is y = (1/9)(x - 4) - 4.
To compute the derivative of f(x) = x/(1-x) at a=4, we can use the quotient rule.
First, let's find the derivative of the numerator and denominator separately. The derivative of x with respect to x is simply 1, and the derivative of 1-x is -1.
Next, we apply the quotient rule:
f'(x) = [(1)(1-x) - (x)(-1)] / (1-x)^2
= (1-x + x) / (1-x)^2
= 1 / (1-x)^2
Now, let's evaluate the derivative at a=4:
f'(4) = 1 / (1-4)^2
= 1 / (-3)^2
= 1 / 9
The derivative of f at a=4 is 1/9.
To write the equation for the tangent line to f at a=4, we use the point-slope form of a linear equation. We have the point (4, f(4)) = (4, 4/(1-4)) = (4, -4).
Using the point-slope form, y - y1 = m(x - x1), we substitute the values:
y + 4 = (1/9)(x - 4).
Therefore, the equation for the tangent line to f at a=4 is y = (1/9)(x - 4) - 4.
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Discrete Structures
Problems
1. Construct the truth table for compound proposition
(q\leftrightarrow\negp)\vee(\negp\rightarrow\negq).
2. Let p, and be the propositions p: "You get an A on the final exam."
: "You do every exercise in the textbook."
: "You get an A in this class."
Write the following propositions using p, and and logical connectives (including negations). Please note some propositions below may be false, and don’t let the contents influence the translation.
(1) You get an A in this class, but you do not do every exercise in this book.
(2) To get an A in this class, it is necessary for you to get an A on the final.
(3) You get an A on the final, but you don’t do every exercise in the textbook; nevertheless, you get an A in this class.
(4) Getting an A on the final and doing every exercise in the textbook is sufficient for getting an A in this class.
3. Express the negation of the following statements in terms of quantifiers, and without the negation symbol in your solutions.
(1) ∀ x((x> -2)\vee(x<1)) (2). ∃ x(3
4. P(x, y) means "x - 3y = 5", where x and y are real numbers. Determine the truth value of:
(1) ∀x∃yP(x, y)
(2) ∃x∀yP(x, y)
(3) ∀y∃xP(x, y)
(4) ∃y∀xP(x, y)
5. Prove that if is an integer, then the following two statements are equivalent: (1) is even, (2) 5^2- 1 is odd.
6. For each of these arguments determine whether the argument is correct or incorrect and explain why, by using the inference rules.
(1) A convertible car is fun to drive. Isaac’s car is not a convertible. Therefore, Isaac’s car is not fun to drive.
(2) Quincy likes all action movies. Quincy likes the movie Eight Men Out. Therefore, Eight Men Out is an action movie.
(3) All lobstermen set at least a dozen traps. Hamilton is a lobsterman. Therefore, Hamilton sets at least a dozen traps.
Submission
1. Please put your name and email address in the header of the document.
2. Submit your assignment on D2L by the due date, in pdf or doc(x) format or as web content directly on D2L.
Grading
For each question, the total points are 5: 5 for complete answer, 4 for almost correct, 3 for partially wrong, 2 for almost wrong, 0 for no submission. No 1 point. If you give a perfect solution, you can get 6 points ‐‐ 1 extra point as the bonus.
Hamilton sets at least a dozen traps. - Correct (Universal Instantiation)
1. Truth Table for Compound Proposition
Let p and q be propositional variables.
The truth table for compound proposition
(p ↔ ¬q) ∨ (¬p → ¬q) is shown below:
pq ¬pq(p ↔ ¬q)(¬p → ¬q)(p ↔ ¬q) ∨ (¬p → ¬q) TTTFFTFTTTFTFFFTFFTTTF
2. Propositions using p, q, and negations
(1) You get an A in this class, but you do not do every exercise in this book: (p ∧ ¬q)
(2) To get an A in this class, it is necessary for you to get an A on the final: p → q
(3) You get an A on the final, but you don’t do every exercise in the textbook; nevertheless, you get an A in this class: (p ∧ ¬q) ∧ q
(4) Getting an A on the final and doing every exercise in the textbook is sufficient for getting an A in this class: (p ∧ q) → r
3. Negation of the given statements in terms of quantifiers(1) ∃x (x ≤ -2 ∧ x ≥ 1)(2) ∀x (3 < x ≤ 4)
4. P(x, y) means "x - 3y = 5", where x and y are real numbers.
The truth value of (1) ∀x∃y P(x, y) is true.
The truth value of (2) ∃x∀y P(x, y) is false.The truth value of (3) ∀y∃x P(x, y) is true.The truth value of (4) ∃y∀x P(x, y) is false.
5. Proving the two statements are equivalentGiven that n is an integer, prove that the following two statements are equivalent: (1) n is even, (2) 5n² − 1 is odd.
If n is even, then n = 2k, where k is an integer. Thus,5n² − 1 = 5(2k)² − 1 = 20k² − 1 = 2(10k² − 1) + 1Since 10k² − 1 is an integer, 5n² − 1 is an odd integer.
Conversely, if 5n² − 1 is odd, then 5n² − 1 = 2k + 1 for some integer k. So, 5n² = 2k + 2 = 2(k + 1). This implies that n² is even, and therefore n must be even.
6. Correctness of arguments
(1) A convertible car is fun to drive. Isaac’s car is not a convertible. Therefore, Isaac’s car is not fun to drive. - Correct (Modus Tollens)
(2) Quincy likes all action movies. Quincy likes the movie Eight Men Out. Therefore, Eight Men Out is an action movie. - Correct (Universal Instantiation)
(3) All lobstermen set at least a dozen traps. Hamilton is a lobsterman.
Therefore, Hamilton sets at least a dozen traps. - Correct (Universal Instantiation)
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How many cups are equal to 1/2 of a pint ?
Answer:
0.5 =12.0095
pint U.S Cup
I think im right but I hope this helps! ^^
X
y
-27
0 27
What values complete the table if y = √x?
OA) -9,0,3
OB) -3,0,3
OC) -3,0,9
OD) 9,0,9
Answer:
B) - 3, 0, 3--------------------------
Given x-values in the table.
Use the equation of the function to find the corresponding y-values:
\(y = \sqrt[3]{x}\)When x = - 27:
\(y=\sqrt[3]{-27} =\sqrt[3]{(-3)^3} =-3\)When x = 0:
\(y=\sqrt[3]{0} =0\)When x = 27:
\(y=\sqrt[3]{27} =\sqrt[3]{3^3} =3\)So the missing numbers are: - 3, 0 and 3.
The matching choice is B.
Molly's school is selling tickets to a play. On the first day of ticket sales the school sold 7 senior citizen tickets and 11 student tickets for a total of $125. The school took in $180 on the second day by selling 14 senior citizen tickets and 8 student tickets. What is the price each of one senior citizen ticket and one student ticket?
Answer: the price of one senior citizen ticket is $10, and the price of one student ticket is $5.
Step-by-step explanation:
Let's assume the price of one senior citizen ticket is 's' dollars and the price of one student ticket is 't' dollars.
According to the given information, on the first day, the school sold 7 senior citizen tickets and 11 student tickets, totaling $125. This can be expressed as the equation:
7s + 11t = 125 ---(1)
On the second day, the school sold 14 senior citizen tickets and 8 student tickets, totaling $180. This can be expressed as the equation:
14s + 8t = 180 ---(2)
We now have a system of two equations with two variables. We can solve this system to find the values of 's' and 't'.
Multiplying equation (1) by 8 and equation (2) by 11, we get:
56s + 88t = 1000 ---(3)
154s + 88t = 1980 ---(4)
Subtracting equation (3) from equation (4) eliminates 't':
(154s + 88t) - (56s + 88t) = 1980 - 1000
98s = 980
s = 980 / 98
s = 10
Substituting the value of 's' back into equation (1), we can solve for 't':
7s + 11t = 125
7(10) + 11t = 125
70 + 11t = 125
11t = 125 - 70
11t = 55
t = 55 / 11
t = 5
Therefore, the price of one senior citizen ticket is $10, and the price of one student ticket is $5.
Two paper weights sit on a desk. They are tapered solids in the shape of a cone and square pyramid. Both take up the same horizontal space, meaning the diameter of the cone is 7. 4 cm and one side of the base of the square is also 7. 4 cm.
Both paper weights sit 7. 5 cm tall.
The pyramid takes up more volume. In cm^3, by how much? Round your answer to 1 decimal place
The square pyramid paper weight takes up approximately 10.663 cm^3 more volume than the cone paper weight.
To determine the volume difference between the cone and the square pyramid paper weights, we need to calculate the volumes of both shapes and find the difference.
The volume of a cone can be calculated using the formula V_cone = (1/3) * π * r^2 * h, where r is the radius of the base and h is the height of the cone.
Given that the diameter of the cone is 7.4 cm, we can find the radius by dividing the diameter by 2: r_cone = 7.4 cm / 2 = 3.7 cm. The height of both the cone and the square pyramid is 7.5 cm, as stated.
Substituting the values into the cone volume formula, we have:
V_cone = (1/3) * π * (3.7 cm)^2 * 7.5 cm
The volume of a square pyramid can be calculated using the formula V_pyramid = (1/3) * base area * h, where the base area is calculated by squaring one side of the base.
Given that one side of the square base is 7.4 cm, the base area is (7.4 cm)^2.
Substituting the values into the square pyramid volume formula, we have:
V_pyramid = (1/3) * (7.4 cm)^2 * 7.5 cm
Now we can calculate the volumes of the cone and the square pyramid:
V_cone = (1/3) * 3.14159 * (3.7 cm)^2 * 7.5 cm ≈ 145.798 cm^3 (rounded to 3 decimal places)
V_pyramid = (1/3) * (7.4 cm)^2 * 7.5 cm ≈ 135.135 cm^3 (rounded to 3 decimal places)
To find the volume difference, we subtract the volume of the square pyramid from the volume of the cone:
Volume difference = V_cone - V_pyramid ≈ 145.798 cm^3 - 135.135 cm^3 ≈ 10.663 cm^3 (rounded to 3 decimal places)
Therefore, the square pyramid paper weight takes up approximately 10.663 cm^3 more volume than the cone paper weight.
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2 1/2 + (-1/3)
PLz, help me with this question.
Answer:
2 1/6
Step-by-step explanation:
PLEASE HELP!!!!!!! A warehouse store sells 5.5-ounce cans of tuna in packages of 5. A package of 5 cans costs $10.45. The store also sells 4.5-ounce cans of the same tuna in packages of 8. A package of 8 cans costs $12.96. The store sells 3.5-ounce cans in packages of 4 cans for $4.76. Which package is the best buy? find the one with the smallest unit rate!!!
Best buy is the last one. And the smallest unit rate will be $0.34 per ounce.
What is the average rate change?It is the average amount by which the function varied per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph depicting the function.
A discount store sells 5.5 - ounce jars of fish in bundles of 5. A bundle of 5 jars costs $10.45. Then the unit rate is given as,
⇒ ($10.45 x 5) / (5.5 x 5 x 5)
⇒ $0.38 per ounce
The store likewise sells 4.5-ounce jars of similar fish in bundles of 8. A bundle of 8 jars costs $12.96. Then the unit rate is given as,
⇒ ($12.96 x 8) / (4.5 x 8 x 8)
⇒ $0.36 per ounce
The store sells 3.5 - ounce jars in bundles of 4 jars for $4.76. Then the unit rate is given as,
⇒ ($4.76) / (3.5 x 4)
⇒ $0.34 per ounce
Best buy is the last one. And the smallest unit rate will be $0.34 per ounce.
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James bought of a pound of dried cherries and of a pound of dried cranberries. How much dried fruit did he buy? [Write your answer in simplest form.]
Answer:
2 pounds of dried fruit
Step-by-step explanation:
James bought of a pound of dried cherries and of a pound of dried cranberries. How much dried fruit did he buy? [Write your answer in simplest form.]
The total amount of dried fruit that he bought is calculated as:
1 pound of dried cherries + 1 pound of dried cranberries
= 2 pounds of dried fruit
Therefore, the total amount of dried fruit that James bought is 2 pounds of dried fruit.
Convert 14 ft to yd
a.4 2/3 b. 1 1/7 c. 42 d. 168
Answer:
4 2/3
Step-by-step explanation:
14 ÷ 3 = 4 2/3
3 × 4 = 12
14- 12= 2
If one meter is approximately 3.28ft how many meters are in 20 ft
Answer:
I think the answer is 6.096 Meters.
Step-by-step explanation:
Answer:
10.76
Step-by-step explanation:
if you convert meters to feet
An isosceles triangle has an area of 143 and base 11. Find the base angle
Answer:
78° (to nearest degree)
*see step-by-step if higher degree of accuracy is needed*
Step-by-step explanation:
Area of a triangle = 1/2 x base x height
⇒ 143 = 1/2 x 11 x height
⇒ height = 26
Isosceles triangle comprises 2 right triangles, each with base 11/2 and height 26.
Therefore, to determine base angle use tan trig ratio:
\(\tan(\theta)=\dfrac{\textsf{opposite side}}{\textsf{adjacent side}}\)
\(\implies tan(\theta)=\dfrac{26}{\frac{11}{2}}=\dfrac{52}{11}\)
\(\implies tan(\theta)=78.05582281...\)
pls help me with this
Answer:
D at 8.8
im not sure brainliest please ok
Answer:
The answer is C at 8.1.
Step-by-step explanation:
To find \(\sqrt{66}\), start by finding the two consecutive perfect squares that 66 lies between them. The two perfect squares are 64 (\(8^{2}\)) and 81 (\(9^{2}\)). So, the whole number part of the square root of 66 will be 8.
Now, for the decimal part, use the following formula:
(Given number - Smaller perfect square) / (Greater perfect square - Smaller perfect square)
Then, put in the known information, which will look like:
(66 - 64)/(81 - 64) = 2/17 = 0.117
Finally, \(\sqrt{66}\) is 8.117, so the answer is C at 8.1.
Two complementary angles are congruent. Which equation gives the measure in degrees, d, of each angle?
(Imagine Math)
Answer:
2d=90
d=45
Explanation: Complementary angles add up to 90 degrees. If the two angles are congruent, it means that both angles have the same measurements.
Which is the graph of 2x + 3y > -3?
Answer:
the third one
Step-by-step explanation:
Answer:
3rd
Step-by-step explanation:
solve the equation 4x^3 + 32x^2 + 42x - 16 = 0, given that one root is equal to the sum of the other two roots
The solutions to the equation are x = -1, x = -8, and x = 1/2.
How to calculate the valueThe equation 4x³ + 32x² + 42x - 16 = 0 can be divided throuh by 2 as follows:
2x³ + 16x² + 21x - 8 = 0
We can test each of these possible roots by substituting them into the equation and seeing if we get 0. When we substitute -1, we get 0, so -1 is a root of the equation. We can then factor out (x + 1) from the equation to get:
(x + 1)(2x² + 15x - 8) = 0
We can then factor the quadratic 2x² + 15x - 8 by grouping to get:
(x + 8)(2x - 1) = 0
This gives us two more roots, x = -8 and x = 1/2.
Therefore, the solutions to the equation are x = -1, x = -8, and x = 1/2.
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HELP PLS
what is the best estimate for √333
A. 111
B. 19
C. 18
D. 18.2
Answer:
the answer is 18.248 so it would either be c or d.
conjecture the next number in the sequence 20 18 15 11 6
Answer:
0 it went minus 2 minus 3 minus and so forth
A band estimates that 3/10 of people on its mailing list has seen the band play exactly once, and 9/20 of people on its mailing list have seen the band play more than once. What fraction of
people on the band’s mailing list have seen the band play at least once?
The fraction of people on the band's mailing list who have seen the band play at least once is 3/4.
To find the fraction of people who have seen the band play at least once, we need to add the fraction of people who have seen the band exactly once to the fraction of people who have seen the band more than once.
Fraction of people who have seen the band exactly once = 3/10
Fraction of people who have seen the band more than once = 9/20
To find the fraction of people who have seen the band play at least once, we need to add these two fractions
Fraction of people who have seen the band at least once = 3/10 + 9/20
We need to find a common denominator to add these two fractions. The common denominator of 10 and 20 is 20.
Fraction of people who have seen the band at least once = (3/10) * (2/2) + (9/20) * (1/1)
= 6/20 + 9/20
= 15/20
= 3/4
Therefore, 3/4 of the people on the band's mailing list have seen the band play at least once.
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HELP ASAP
Which of the following equations are linear functions?
I. 3x + 4y = -6
II. y = -4x + 7
III. 5x2 + 3y = 12
Choose one answer.
A. I
B. II and III
C. I, II, and III
D. I and II
Answer:
I and II
Step-by-step explanation:
In a 'linear function,' the exponents of x and y are both 1.
This characteristic is found in both I and II but not in III (which is a quadratic function).
If one rectangular solid with dimensions of 6 x 6 x10 millimeters is stacked on top of an identical rectangular solid so that the bottom of the top box lines up perfectly with the top of the bottom box, what is the surface area of this new rectangular solid?
Answer: 720
Step-by-step explanation: took the test
Answer:
720mm squared
Step-by-step explanation:
You must multiply each face of each shape after that when you add the two volumes you get the awnswer which is 720mm squared :) Hope this helps!