Answer:
ship = 21 km/h,
current =3 km/h.
Step-by-step explanation:
1)What is the solution to the equation below?
2) How did you get your answer?
x+3 = 8
A square garden has an area of 64 square feet. What is the length of the garden?
The length of the garden will be 8 feet.
It should be noted that the area of a square is gotten by multiplying its lengths together. For example, the area of a square with length of 2cm will be: = 2 × 2 = 4cm²
Therefore, since the square garden has an area of 64 square feet, the length of the garden will be:
= ✓64
= 8 feet
Therefore, the length is 8 feet.
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Should this answer be a fraction or a whole number?
A company’s profit is modeled by the function p(x) = -2x2 + 60x − 2, where p is the profit in thousands of dollars and x is the number of units sold in hundreds.
Based on the profit function, the company has to make ___ hundred units to make a maximum profit
To find the number of units the company needs to sell to make maximum profit, we need to find the vertex of the parabola represented by the profit function. The vertex can be found using the formula x = -b / (2a), where a and b are the coefficients of the quadratic function. In this case, the company needs to sell 1500 units to make a maximum profit.
Explanation:The profit function is given as p(x) = -2[tex]x^2[/tex] + 60x - 2, where p is the profit in thousands of dollars and x is the number of units sold in hundreds. To find the quantity that yields the maximum profit, we need to find the vertex of the parabola represented by the profit function. The x-coordinate of the vertex can be found using the formula x = -b / (2a), where a and b are the coefficients of the quadratic function. In this case, a = -2 and b = 60. Plugging these values into the formula, we get x = -60 / (2*(-2)) = 15. Since x represents the number of units sold in hundreds, the company needs to sell 1500 units to make a maximum profit.
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find the total volume of each figure shown measured in cm (not to scale)
Answer:
Step-by-step explanation:
Subtract a-4 from 4a+16 and simplify your answer. The variable a should appear only once in your answer.
Subtracting a-4 from 4a+16 and then simplifying the expression will be 3a + 20.
This is a simple expression and we have to subtract a-4 from 4a+16 and then simplify the answer. This will be:
(4a + 16) - (a - 4)
= 4a - a + 16 + 4
= 3a + 20
In conclusion, based on the calculation above, the answer is 3a + 20.
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How do you find the area of a triangle?
The table below shows the values of y for different values of x:
x y
0
0
1
5
2
10
3
15
Which equation shows the relationship between x and y?
x = 5y
y = 5 + x
x = 5 + y
y = 5x
Answer:
D. [tex]y=5x[/tex]
Step-by-step explanation:
We have been given a table of values. We are asked to find the equation that shows the relationship between x and y.
x y
0 0
1 5
2 10
3 15
Upon looking at our given table, we can see that with each increase in x value, the value of x increases by 5. This means that slope of our given line is 5.
We can also see that initial value or y-intercept is 0.
Upon substituting our given values in slope intercept form of equation, we will get:
[tex]y=5x+0[/tex]
[tex]y=5x[/tex]
Therefore, our required equation is [tex]y=5x[/tex] and option D is the correct choice.
Thomas ordered 2 Japanese comic books and twice that number of American comic books. He also ordered 4 Spanish comic books. Thomas told his mom he ordered 8 comic books.
Was Thomas's calculation reasonable?
A.
Yes, it is reasonable because 2 + 2 + 4 = 8.
B.
No, it is not reasonable because 2 + 4 = 6.
C.
No, it is not reasonable because 2 + 4 + 4 = 10.
The area of a square can be found using the equation A = s², where A is the area and s is the measure of one side of the square.
Match the equation for how to solve for the side length of a square to its description.
Drag the equation into the box to match the description.
Answer: middle
Step-by-step explanation:
20 PTS HURRY
A blackboard has an area of 28ft2 and a perimeter of 22 ft. What are the dimensions of the board?
2[L + W] =22
L*W = 28
W = 28/L sub this in the first equation
Solve for L:
2 (L + 28/L) = 22
Divide both sides by a constant to simplify the equation.
Divide both sides by 2:
L + 28/L = 11
Write the left hand side as a single fraction.
Bring L + 28/L together using the common denominator L:
(L^2 + 28)/L = 11
Multiply both sides by a polynomial to clear fractions.
Multiply both sides by L:
L^2 + 28 = 11 L
Move everything to the left hand side.
Subtract 11 L from both sides:
L^2 - 11 L + 28 = 0
Factor the left hand side.
The left hand side factors into a product with two terms:
(L - 7) (L - 4) = 0
Find the roots of each term in the product separately.
Split into two equations:
L - 7 = 0 or L - 4 = 0
Look at the first equation: Solve for L.
Add 7 to both sides:
L = 7 or L - 4 = 0
Look at the second equation: Solve for L.
Add 4 to both sides:
L = 7 or L = 4 and W=4 or W = 7
please please someone help me and show me how you got the answer super super thanks in advance
you toss two dice one time what is the probability of getting an even number on the first die or a sum of 6
NEED HELP ASAP!!! Susan makes $5 per hour babysitting and $7 per hour as a life guard. Her goal is to make at least $140. which of the following represents three possible solutions to the problem?
Simplify the expression.
2^2 • 2^3
A.
4^5
B.
4^6
C.
2^6
D.
2^5
(This question has 4 parts)
1. Use an appropriate technology to simulate 25 tosses of a coin. Report your results
2.What experimental probability is indicated by this data?
3. What is the theoretical probability that a coin toss will yield a result of heads? Or tails?
4. Explain any differences between the theoretical probability and the experimental probability.
(Sorry for so much but I honestly have no idea how to do this)
(Please make a good answer with details and include how you did it)
Heads - 9
Tails - 16
----
Probability of heads = 9/25 = 0.36 = 36%
Probability of tails = 16/25 = 0.64 = 64%
----
Heads = 36%
Tails = 64%
----
The experimental probability basically says the answer but the theoretical probability clears out the answer.
A sphere and a cylinder have the same diameter. The height of the cylinder is equal to its diameter. Which shape has a greater volume?
The cylinder has a greater volume than the sphere when both have the same diameter and the cylinder's height is equal to its diameter, as the formulas for their volumes show that V_cylinder > V_sphere.
The question asks which shape has a greater volume: a sphere with the same diameter as a cylinder or a cylinder where the height is equal to the diameter. To solve this, we need to compare their volumes using mathematical formulas.
The volume of a sphere with radius r is given by V_sphere = (4/3) * π * r^3. Since the diameter of the cylinder is the same as the diameter of the sphere, we can use the same value for r, where r is half of the diameter.
The volume of a cylinder with radius r and height h (which, in this case, is also 2r) is calculated as V_cylinder = π * r^2 * h. For the cylinder, since h = 2r, we substitute to get V_cylinder = π * r^2 * (2r) = 2 * π * r^3.
Comparing the two volumes, it is clear that the volume of the cylinder (2 * π * r^3) is greater than that of the sphere ((4/3) * π * r^3). Therefore, the cylinder has a greater volume than the sphere when both shapes have the same diameter and the cylinder's height is equal to its diameter.
What is the value of the expression 24 – (7 + 5) ÷ 6 + 8?
The value of the expression 24 – (7 + 5) ÷ 6 + 8 is: 30
What is BODMAS rule?
The brackets must be solved first, then powers or roots (i.e. of), Division, Multiplication, Addition, and finally Subtraction, according to the BODMAS rule. Any phrase can only be solved correctly if the BODMAS rule or the PEDMAS rule is used.
In the question, The given expression is 24 – (7 + 5) ÷ 6 + 8.
we will solve this expression using the BODMAS rule
which states the order of the operator in which we should use them in an expression.
That is:
B for brackets;
O: for of
D: for Division
M: for Multiplication
A: for Addition
S: for Subtraction
So, using the same in the given expression:
24 – (7 + 5) ÷ 6 + 8
Removing the bracket by solving it first:
⇒24 – 12 ÷ 6 + 8
After that: Divide :
⇒24-2+8
Then Addition:
⇒32-2:
At last: by subtraction, we get:
⇒30
Hence, the value of the expression 24 – (7 + 5) ÷ 6 + 8
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Parker was able to pay for 44% of his college tuition with his scholarship.
The remaining $10,054.52 he paid for with a student loan.
What was the total cost of Parker's college tuition?
Round your answer to the nearest dollar.
Tuition cost = $_
The total cost of Parker's college tuition, rounded to the nearest dollar, is $17,952.
Explanation:If Parker was able to pay for 44% of his total college tuition with his scholarship, this means that the $10,054.52, which he paid using his student loan, represents the remaining 56% of his tuition cost. Therefore, to find the total cost of tuition, we need to divide the amount he paid with a loan by 0.56. Performing this calculation gives us:
$10,054.52 / 0.56 = $17,952.00
Therefore, the total cost of Parker's tuition rounded to the nearest dollar is $17,952.
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Writing a Real-World Inequality Anise wants to have longer hair than her sister. Her sister’s hair is 2.25 feet long. How long does Anise’s hair have to be?
Answer:
B the second graph
Step-by-step explanation:
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A box containing 3 small bags of flour weighs 950 grams. Each bag of flour weighs 300 grams. How much does the empty box weigh
Solve for x.
80
22
40
12
In the diagram,CD is tangent to the circle, AB = 6 in, and BD = 10 in. Find AD.
need urgent help Which sets of numbers are closed under addition?
Choose all answers that are correct.
A.
whole numbers
B.
natural numbers
C.
negative integers
D.
integers
A store had 4 boxes of video Games.How many days would it take to sell the games if each day they sold one fifth
What property is used to transform the equation x-2y=14 into -3x+6y=-42
the first computer is usually regarded as one called ROACH completed in 1945. Email was invited in 1971. how many years after the computer was email invented
Final answer:
Email was invented 26 years after the completion of the first recognized computer in 1945.
Explanation:
The first computer is often attributed to the work carried out during World War II, with machines like ENIAC, completed in 1945, incorporating vacuum tubes and filling entire rooms. However, the question references a machine called ROACH, which seems to be a typo or a misunderstanding; we usually refer to ENIAC as one of the first computers. Email, on the other hand, was invented in 1971 by Ray Tomlinson. Calculating the difference between the years when the first computer was completed and when email was invented gives us the number of years it took for email to be developed after the advent of the computer.
To find this, we subtract the year the first computer was completed, 1945, from the year email was invented, 1971:
1971 (the year email was invited) - 1945 (the year the computer was completed) = 26 years.Email was invented 26 years after the completion of the first computer.
Evaluate the expression. If necessary, round to the nearest hundredth. lne
Leo has 100 coins in his piggy bank. All coins are either nickels, or dimes, or quarters. There are as many nickels as dimes and quarters together. How much money are nickels in Leo's piggy bank worth? will mark brainliest!!! PLEASE HELP
Total money nickles are worth of = $2.5
Let number of nickles coins be 'x'
Let number of dime coins be 'y'
Let number of quarter coins be 'z'
we have,
x + y + z = 100 and x = y +z
on solving the two equations, we get x = 50
1 nickle = 5 cents
50 nickles = 250 cents = $2.5
This system has one solution.
{y=−2x+4y
{=x2+4x+13
What is the y-coordinate of the solution?
Enter your answer in the box. y =[]
Answer:
The y-coordinate of the solution is, 10
Step-by-step explanation:
Given the system of equation:
[tex]y = -2x+4[/tex] ....[1]
[tex]y=x^2+4x+13[/tex] ....[2]
Equate the equation [1] and [2] we have;
[tex]-2x+4 = x^2+4x+13[/tex]
Add 2x to both sides of an equation:
[tex]4 = x^2+6x+13[/tex]
Subtract 4 from both sides we have;
[tex]0= x^2+6x+9[/tex]
or
[tex]x^2+6x+9=0[/tex]
Using perfect square:
[tex](x+a)^2 = x^2+2ax+a^2[/tex]
⇒We can write the equation as:
[tex]x^2+2 \cdot 3x+3^2=0[/tex]
then;
[tex](x+3)^2 = 0[/tex]
⇒[tex]x+3 = 0[/tex]
Subtract 3 from both sides we have;
x = -3
Substitute value of x in [1] we have;
[tex]y = -2(-3)+4[/tex]
⇒[tex]y =6+4=10[/tex]
Solution for the given system of equation = (-3, 10)
Therefore, the y-coordinate of the solution is, 10