The directions for your art project are given in inches. The board you are given to work with is 6 feet long.
Convert the length of the board to inches.
inches?
Answers
Answer:
72 inches
Step-by-step explanation:
there are 12 inches in 1 foot 12*6=72
Related Questions
the smallest square that can be drawn in the grid at the right (where the vertices of the square must be at the points where two grid lines intersect) has an area of one unit. the largest square, following the same rules, has an area of 25 square units. there are other squares that can be drawn whose area is between 1 and 25 square units. as a matter of fact, there are mine such squares whose vertices are at the points where grid lines intersect. how many can you find? draw an example of each one in the grids below.
Answers
In the given problem, it is asked to find out the number of squares which can be drawn in the grid where the vertices of the square must be at the points where two grid lines intersect. It is given that the smallest square that can be drawn in the grid has an area of one unit and the largest square, following the same rules, has an area of 25 square units. There are other squares that can be drawn whose area is between 1 and 25 square units. As a matter of fact, there are nine such squares whose vertices are at the points where grid lines intersect.
Here is the table showing the squares with different areas:AreaSquares1A2B, C3D, E, F4G, H, I, J5K, L, M, N, O, P, Q, R, S
For more than five squares of the given range, students can create a list of squares along with their areas. They can start with the square of the smallest area and then can list all the possible squares in the given range.
The figure for each of the squares in the given range has been shown below: 1A 2B 3D 4G 5K L M N O P Q R S
Here is the table showing the squares with different areas:
Area Squares
1 A
2 B, C
3 D, E, F
4 G, H, I, J
5 K, L, M, N, O, P, Q, R, S
Thus, there are nine such squares whose vertices are at the points where grid lines intersect. The square and area of each of these squares has been shown above.
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Let
v⃗ 1=[−12] and v⃗ 2=[1−1].v→1=[−12] and v→2=[1−1].
Let T:ℝ2→ℝ2T:R2→R2 be the linear transformation satisfying
T(v⃗ 1)=[−11−9] and T(v⃗ 2)=[56].T(v→1)=[−11−9] and T(v→2)=[56].
Find the image of an arbitrary vector [xy].
can anyone help me ? Thanks.
Answers
The image of an arbitrary vector [xy] under the linear transformation T is given by the vector [-11x - 9x + 56y].
To find the image of an arbitrary vector [xy] under the linear transformation T, we can use the linearity property of T.
Since T is a linear transformation, we have:
\(T([xy]) = T(xv_1 + yv_2)\)
Using the linearity property, we can expand this expression:
\(T([xy]) = xT(v_1) + yT(v_2)\)
Substituting the given values of \(T(v_1)\) and \(T(v_2)\), we get:
T([xy]) = x[-11-9] + y[56]
T([xy]) = [-11x - 9x + 56y]
Therefore, the image of an arbitrary vector [xy] under the linear transformation T is given by the vector [-11x - 9x + 56y].
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The floor of a room is 6 m by 4 m, and its height is 3 m. Find the distance from
a corner point on the floor to the opposite corner point on the ceiling.
Answers
Answer:
6 x 4 x 3 = 72
Step-by-step explanation:
Abby earns $7 per hour working as a cashier at a cafe. She earned $ blank in a week in which she worked 28 hours. She earned $ blank in a month which she worked 112 hours.
Answers
Answer:she earned 196$ in a week in which she worked 28 hours. she earned 784$ in a month which she worked 112 hours.
196$ and 784$ are your answers
Step-by-step explanation:
Given the above figure, identify the translation
Answers
If the coordinates of A be (2,3) coordinates of B be (2,-2) , coordinates of C be (-1,-4) coordinates of \(A^{I}\) be (-3,6) coordinates of \(B^{I}\) be (-3,1) and coordinates of \(C^{I}\) be (-6,-1) then the correct translation be
(x-5,y+3).
Given a figure in which the coordinates of A be (2,3) coordinates of B be (2,-2) , coordinates of C be (-1,-4) coordinates of \(A^{I}\) be (-3,6) coordinates of \(B^{I}\) be (-3,1) and coordinates of \(C^{I}\) be (-6,-1).
We are required to find the correct translation of figure from ABC to \(A^{I} B^{I} C^{I}\).
Translation is basically the displacement of a figure or a shape from one place to another.
To reach the coordinates of A to \(A^{I}\), we need to subtract 5 from 2 and add 3 to 3.
To reach the coordinates of B to \(B^{I}\), we need to subtract 5 from 2 and add 3 to -2.
To reach the coordinates of C to \(C^{I}\), we need to subtract 5 from -1 and add 3 to -4.
Hence if the coordinates of A be (2,3) coordinates of B be (2,-2) , coordinates of C be (-1,-4) coordinates of \(A^{I}\) be (-3,6) coordinates of \(B^{I}\) be (-3,1) and coordinates of \(C^{I}\) be (-6,-1) then the correct translation be
(x-5,y+3).
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10 Find the standard equation of the circle having the given center and radius.
Answers
the standard equation of the circle having the given center and radius is \((x-9)^2+(y-2)^2=\frac{9}{25}\).
find the surface area of a square pyramid with side length 2 km and slant height 4 km
Answers
The diagram can be drawn as,
The surface area of the base is
\(\begin{gathered} BA=(2km)^2 \\ ^{}=4\text{ sq. km} \end{gathered}\)The lateral surface area can be determined as,
\(\begin{gathered} \text{LSA}=\frac{1}{2}\times Perimeter\text{ of base}\times slant\text{ height} \\ =\frac{1}{2}\times(4\times2\text{ km)}\times4\text{ km} \\ =16\text{ sq km.} \end{gathered}\)The total surface area can be determined as,
\(\begin{gathered} \text{TSA}=BA+\text{LSA} \\ =4\text{ sq km+16 sq km} \\ =20\text{ sq km.} \end{gathered}\)Thus, the total surface area is 20 sq km.
please answer the following
Answers
Answer:
it 10
Step-by-step explanation:
If you buy lean ground beef and it is listed as 85% lean, how many grams of fat are in 0.75lb of this product? ( 1lb=454 g)
Answers
In 0.75lb (340g) of 85% lean ground beef, there are approximately 72 grams of fat.
To calculate the grams of fat in 0.75lb of 85% lean ground beef, we need to determine the fat content based on the percentage given. The term "85% lean" indicates that 85% of the weight of the ground beef is lean meat, while the remaining 15% is fat.
First, we convert 0.75lb to grams. Since 1lb is equal to 454g, multiplying 0.75lb by 454g/lb gives us 340g.
Next, we calculate the fat content by multiplying the weight of the ground beef (340g) by the percentage of fat (15%).
340g * 0.15 = 51g
Therefore, in 0.75lb (340g) of 85% lean ground beef, there are approximately 51 grams of fat.
However, the question asks for the fat content, so we subtract this value from the total weight to find the grams of fat:
340g - 51g = 289g
Therefore, there are approximately 72 grams of fat in 0.75lb (340g) of 85% lean ground beef.
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Integrate the ODE
dy/dx = x² √y, 0 < x < 2, y(0) = 1
using Euler's method (Δx = 0, 2) to compute y(2). Obtain analytical solution to the ODE and compare y(2) obtained using Euler's method with that obtained analytically.
Answers
we find that the numerical approximation using Euler's method gives y(2) ≈ 1.865, while the analytical solution gives y(2) = 2.5.
Using the formula y(n+1) = y(n) + Δx * f(x(n), y(n)), where f(x, y) = x² √y, we can calculate the values of y at each step. Here's the step-by-step calculation:
Step 1: For x = 0, y = 1 (initial condition).
Step 2: For x = 0.2, y = 1 + 0.2 * (0.2)² * √1 = 1.008.
Step 3: For x = 0.4, y = 1.008 + 0.2 * (0.4)² * √1.008 = 1.024.
Step 4: For x = 0.6, y = 1.024 + 0.2 * (0.6)² * √1.024 = 1.052.
Step 5: For x = 0.8, y = 1.052 + 0.2 * (0.8)² * √1.052 = 1.094.
Step 6: For x = 1.0, y = 1.094 + 0.2 * (1.0)² * √1.094 = 1.155.
Step 7: For x = 1.2, y = 1.155 + 0.2 * (1.2)² * √1.155 = 1.238.
Step 8: For x = 1.4, y = 1.238 + 0.2 * (1.4)² * √1.238 = 1.346.
Step 9: For x = 1.6, y = 1.346 + 0.2 * (1.6)² * √1.346 = 1.483.
Step 10: For x = 1.8, y = 1.483 + 0.2 * (1.8)² * √1.483 = 1.654.
Step 11: For x = 2.0, y = 1.654 + 0.2 * (2.0)² * √1.654 = 1.865.
Therefore, using Euler's method with a step size of Δx = 0.2, we approximate y(2) to be 1.865.
To obtain the analytical solution to the ODE, we can separate variables and integrate both sides:
∫(1/√y) dy = ∫x² dx
Integrating both sides gives:
2√y = (1/3)x³ + C
Solving for y:
y = (1/4)(x³ + C)²
Using the initial condition y(0) = 1, we can substitute x = 0 and y = 1 to find the value of C:
1 = (1/4)(0³ + C)²
1 = (1/4)C²
4 = C²
C = ±2
Since C can be either 2 or -2, the general solution to the ODE is:
y = (1/4)(x³ + 2)² or y = (1/4)(x³ - 2)²
Now, let's evaluate y(2) using the analytical solution:
y(2) = (1/4)(2³ + 2)² = (1/4)(8 + 2)² = (1/4)(10)² = 2.5
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Declaring variables - Declare two integer variables x and y, - Assign them any values. - Print addition/subtraction/multiplication and division of these two variables on to the screen
Submission Task (- Grade 1%) Follow the same steps asin Exercise 2, but change the step 2 to ask the user for input forthese values by using Scanner class.
Answers
Two integer variables x and y, prompts the user to enter values for them using the Scanner class, and performs addition, subtraction, multiplication, and division operations on those variables:
import java.util.Scanner;
public class VariableOperations {
public static void main(String[] args) {
Scanner scanner = new Scanner(System.in);
System.out.print("Enter the value for x: ");
int x = scanner.nextInt();
System.out.print("Enter the value for y: ");
int y = scanner.nextInt();
// Addition
int addition = x + y;
System.out.println("Addition: " + addition);
// Subtraction
int subtraction = x - y;
System.out.println("Subtraction: " + subtraction);
// Multiplication
int multiplication = x * y;
System.out.println("Multiplication: " + multiplication);
// Division
if (y != 0) {
double division = (double) x / y;
System.out.println("Division: " + division);
} else {
System.out.println("Cannot divide by zero.");
}
}
}
This code prompts the user to enter values for x and y, performs the four basic arithmetic operations, and displays the results on the screen.
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Simplify √108+√125-√75
Answers
Answer: Answer in the photo
Step-by-step explanation:
Answer:
12.91
Step-by-step explanation:
find the square roots ;
10.39 + 11.18 - 8.66 = 12.91
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Write the equation of a line?
Answers
Answer:
Not proportional because it's not linear. Hope this helps
John Doe wins the lottery for 3 million dollars. The lottery will pay him $100,000 each year at the end of each of the next 30 years. (thirty installments in total). However, assume the lottery offers a lump sum option where John Doe can take the present value of those 30 future payments immediately. Assuming the lottery uses a discount rate of 6%.
How much is the present value of his winnings?
Group of answer choices
$1,535,400
$1,158,600
$1,376,500
$1,814,300
Answers
This expression gives us a present value of approximately $1,376,500.
To calculate the present value of John Doe's winnings, we need to find the present value of each individual payment and then sum them up.
The formula to calculate the present value of an annuity is:
PV = C * (1 - (1 + r)^(-n)) / r
Where PV is the present value, C is the annual payment, r is the discount rate, and n is the number of periods.
In this case, John Doe will receive $100,000 each year for 30 years, and the discount rate is 6%. Plugging these values into the formula, we get:
PV = $100,000 * (1 - (1 + 0.06)^(-30)) / 0.06
Calculating this expression gives us a present value of approximately $1,376,500.
Therefore, the correct answer is:
c. $1,376,500.
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Nola rode her bike a total of 5 miles, Fromhome to the library and then to the gym.The distance from Nola's house to thelibrary is 3 miles What is the distancefrom the library to the gym
Answers
Given that:
- Nola rode her bike a total distance of 5 miles from home to the library and then to the gym.
- The distance from her house to the library is 3 miles.
Let be "d" the distance (in miles) from the library to the gym.
Knowing the data provided in the exercise, you can set up the following equation to represent the situation:
\(d+3=5\)Solving for "d", you get:
\(\begin{gathered} d=5-3 \\ d=2 \end{gathered}\)Hence, the answer is:
\(2\text{ }miles\)(50 x 2) + (15 x 2) in words
Answers
Answer:
100 plus 30
Step-by-step explanation:
Answer:
fifty times two add fifteen times two
Step-by-step explanation:
hope this helps...
2. Mr. Hoffman has a circular chicken coup with a radius of 2.5 feet. He wants to put a chain link fence around the coup to protect the chickens. Which measurement is closest to the length of fence he will need?
Answers
Answer: 15.7ft
Step-by-step explanation:
Answer:
15.7 ft
Step-by-step explanation:
took the test
Four hundred tulips grow in the tulip field. That's 80 percent of all the tulips in the park. How many tulips are in the park?
Answers
Answer: 500
Step-by-step explanation: Good luck! :D
∠A and ∠B are adjacent. The sum of their measures is 92°. ∠A measures (2x+5)°. ∠B is three times the size of ∠A.
Write an equation to determine the value of x. Then solve your equation and find the measures of both angles.
Enter the correct answers in the box.
Answers
The equation use to determine the value of \(x\) is \((2x+5)+3(2x+5)=92\).
The measures of \(\angle A, \angle B\) are \(23^\circ, 69^\circ.\)
Let us assume the measures of \(\angle A, \angle B\) are \(z, y\).
Now according to the question, we can write the relation between \(\angle A, \angle B\) is \(y=3z....(i)\).
We know, the measure of \(\angle A\) is \(2x+5\) so \(2x+5=z....(ii)\). Now, we will substitute the value of \(z\) from equation \((ii)\) in equation \((i)\).
\(y=3z\\= 3 \times (2x+5)\\=6x+15\)
So, the final equation will be \((2x+5)+3(2x+5)=92\)
⇒ \(6x+15+2x+5=92\)
⇒ \(8x+20=92\)
⇒ \(8x=72\)
⇒ \(x=9\)
\(\therefore\) measure of \(\angle A\) is \(2x+5=(2 \times 9)+1=25\) and measure of \(\angle B\) is \(2 \times 23 = 69\).
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Pre-calc word problem
You receive two sales job offers. One company offers a straight commission of 5% of sales. The other company offers a salary of $500 per week plus 2% of sales. How much would you have to sell in a week in order to make the straight commission job offer better? (Round your answer to the nearest cent.)
To make straight commission the better offer, you would have to sell (more than, less than, equal to) $____ per week.
Answers
Answer:
To make straight commission the better offer, you would have to sell more than $16666.67 per week.
Step-by-step explanation:
Set inequality, assuming the sales amount is x:
5% of x > 500 + 2% of x0.05x > 500 + 0.02x0.05x - 0.02x > 5000.03x > 500x > 500/0.03x > 16666.67 (rounded to the nearest cent)Answer:
More than $16,666.67.
Step-by-step explanation:
Define the variables:
Let x = Weekly sales (in dollars).Let y = Total salary (in dollars).Create an equation for each job offer using the defined variables and given information.
Job Offer 1
Straight commission of 5% of sales:
\(\implies y=0.05x\)
Job Offer 2
A salary of $500 per week plus 2% of sales:
\(\implies y=500+0.02x\)
For Job Offer 1 to be better, set the expression for this offer to be greater than the expression for Job Offer 2 and solve the inequality:
\(\implies 0.05x > 500+0.02x\)
\(\implies 0.05x-0.02x > 500+0.02x-0.02x\)
\(\implies 0.03x > 500\)
\(\implies \dfrac{0.03x}{0.03} > \dfrac{500}{0.03}\)
\(\implies x > 16666.66666...\)
Therefore, to make straight commission (Job Offer 1) the better offer, you would have to sell more than $16,666.67 (nearest cent) per week.
How do pattern in mathematic help individual better undertand the world and predict what come next?
Answers
Pattern in mathematic help individual better undertand the world and predict what come next because patterns follow a predictable rule and that rule allows us to predict what will come next.
What is Predictable Rule?
A prediction function is a mathematical function that predicts a future occurrence based on past events. Many other types of functions can be classified as prediction functions, such as those based on likelihood, sufficiency, and plausibility.
Reasons:
Patterns are more than just beautiful designs (though they frequently are), they follow a predictable law, and that rule allows us to forecast what will happen next. Mathematics, according to mathematicians, is the study of patterns—patterns and structure in numbers, as well as patterns and structure in geometry.
Mathematical tools can explain and improve the way the world works. Mathematical modeling has the potential to save lives, aid in policy and decision-making, and optimize economic growth. It can also be used to better understand the Universe and the conditions required for life to thrive.
Scientists, like everyone else, rarely, if ever, make accurate predictions. The future remains unpredictable regardless of the data and mathematical models available. As a result, scientists must account for mistake in our fundamental equation. In other words, Y = f(X) + E, where "E" represents our incapacity to forecast accurately.
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Patterns in mathematic help individual better understand the world and predict what comes next because patterns follow a predictable rule and that rule allows us to predict what will come next.
What is the Predictable Rule?
A prediction function is a mathematical function that predicts a future occurrence based on past events. Many other types of functions can be classified as prediction functions, such as those based on likelihood, sufficiency, and plausibility.
Reasons:
Patterns are more than just beautiful designs (though they frequently are), they follow a predictable law, and that rule allows us to forecast what will happen next. Mathematics, according to mathematicians, is the study of patterns—patterns and structure in numbers, as well as patterns and structure in geometry.
Mathematical tools can explain and improve the way the world works. Mathematical modeling has the potential to save lives, aid in policy and decision-making, and optimize economic growth. It can also be used to better understand the Universe and the conditions required for life to thrive.
Scientists, like everyone else, rarely, if ever, make accurate predictions. The future remains unpredictable regardless of the data and mathematical models available. As a result, scientists must account for mistake in our fundamental equation. In other words, Y = f(X) + E, where "E" represents our incapacity to forecast accurately.
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henry wants to earn at least trimming trees. he charges per hour and pays in equipment fees. what are the possible numbers of hours henry could trim trees?
Answers
The possible number of hours Henry could trim trees is t > 10.
The given information represents a scenario which demonstrates an inequality statement as Henry wants to earn at least $ 56, which means the amount earned should be greater than 56.
Let t be the possible number of hours Henry trim trees. As his per hour charge is $6 and he pays $4 in equipment fee, the inequality statement is:
6t – 4 > 56
Solving,
6t > 56 + 4
6t > 60
t > 10.
In order to earn at least $56, Henry must trim trees for at least 10 hours or more.
Note: The question is incomplete. The complete question probably is: Henry wants to earn more than $56 trimming trees. He charges $6 per hour and pays $4 in equipment rental fees. What are the possible number of hours Henry could trim trees?
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16.5% of 4371 is how much
Answers
Answer:
Step-by-step explanation:
721.215
3x+4y=-12 x-y=10 using elimination
Answers
(a) a box contains 4 red balls, 3 white balls, and 3 black balls. two balls are drawn at random from the box (with replacement of the first before the second is drawn). what is the probability of getting a red ball on the first draw and a white ball on the second? (enter your probability as a fraction.)
Answers
The probability of getting a red ball on the first draw and a white ball on the second is 0.3.
Total number of balls = 10
Now we have to pick: 4 red balls or 3 black balls or 3 white balls.
Case-1:
In this case we pick 4 red balls.
Now, probability for picking one red ball is 3/10. Now, the 2nd ball is drawn which is also red, probability for picking 2nd red ball is 2/19. probability for picking two red balls is
P(r) = (3/10) (2/9)
Case-2:
In this case we pick 3 white balls
Probability for picking 3 white balls
P(w) = (3/10) × (4/9)
Case-3:
probability for picking 03 black balls:
P(b) = (03/10) (02/9)
Therefore, probability for picking 2 same color balls:
= (3/10) (2/9) +(03/10) × (04/9) +(03/10) (02/9)
= 0.3
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[(-5)-{9/(-3)}^3].(-6)+(-6)
Answers
Answer:
\([(-5)-\frac{9}{(-3)^3}](-6)+(-6)=22\)
Step-by-step explanation:
\([\left(-5\right)-\frac{9}{\left(-3\right)^3}]\left(-6\right)+\left(-6\right)\)
Remove parenthesis: \((-a)=-a\)
\(=-[-5-\frac{9}{\left(-3\right)^3}] * 6-6\)
\([-5-\frac{9}{\left(-3\right)^3}]*6 = -28\)
\(= - (-28) - 6\)
Apply rule: \(- (-a) = a\)
\(= 28 - 6\)
Subtract the numbers: \(28 - 6 = 22\)
Final answer:
\(= 22\)
Hope I helped. If so, may I get brainliest and a thanks?
Thank you, have a good day! =)
th Write an explicit formula for an, the n term of the sequence 11, 9,7
Answers
Step-by-step explanation:
everything can be found in the picture above
This weekend Karen participated in a road race the ratio of the number of miles she ran to the number of miles she walked is 4 : 5 how many miles did Karen run if she walked 10 miles
Answers
Answer:
8 miles
Step-by-step explanation:
If Karen ran 4 miles and walked 5 the fraction for that is 4/5 and if you double both of those you get 8/10 we know that she walked 10 miles so she had to have run 8 miles.
Answer:
8
Step-by-step explanation:
Is this relation a function? Justify your answer.
A. No, because two points with the same x-value have different y-values.
B. Yes, because every x- and y-value is positive.
C. No, because two points with the same y-value have different x-values.
D. Yes, because the number of x-values is the same as the number of y-values.
Answers
Answer:
D
Step-by-step explanation:
it is only in the positive so i would say d because they all only have one y-value each and they are all positive though so i am saying D.
No, because two points with the same x-value have different y-values.
Step-by-step explanation:
thank me later
Which best represent the simplified relative frequency of winning 9 out 15 games?
A. 3/5
B. 5/3
C. 9/15
D. 15/9
Answers
Answer:
i think the answer is A
Step-by-step explanation:
9/15 simplified is 3/5
Answer:
best represent the simplified relative frequency of winning 9 out 15 games:9/15=3/5