an aeroplane moving horizontally with a speed of 180 km/hr drops a food packet while flying at a height of 490m . the horizontal range of the packet is?? ...?
what are the base seven counting numbers just before and after 16 base seven ? ...?
Final answer:
In base seven, the number just before 16 is 15, and the number just after 16 is 20. These correspond to 5 and 14 in decimal notation, respectively.
Explanation:
The question asks for the base seven counting numbers just before and after 16 in base seven. In base seven, counting is similar to decimal but stops at 6 before moving to the next place value. The number 16 in base seven is written as 6 in base 10, since base seven does not have a digit for '7' or higher. Therefore, the counting sequence in base seven goes ...14, 15, 16, 20, 21... Thus, the number just before 16 in base seven is 15 (which is 5 in base 10), and the number just after 16 in base seven is 20 (which represents 14 in base 10).
The base angle of an isosceles triangle measures 54°. What is the measure of its vertex angle?
Answer:
72[tex]\degree[/tex]
Step-by-step explanation:
We know that the sum of all the angles of any triangle is 180[tex]\degree[/tex]
We have to use the above property in order to find the measurement of the vertex angle.
Now our triangle is isosceles , that is the two equal sides will be containing equal angle. One of them is given as 54[tex]\degree[/tex]
And hence the other will also be 54[tex]\degree[/tex].
Let the vertex angle be x
180=54+54+×
180=108+×
x=180-108
x=72
Hence the vertex angle is 72[tex]\degree[/tex]
How do I set the proportions up
2. What is the decimal expansion of the following fraction?
2/3
_
0.06
_
0.6
0.23
2.3
Which is an equation in point-slope form for the given point and slope?
Point: (7, 4); Slope: 6
y – 7 = 6(x + 4)
y – 4 = 6(x – 7)
y – 4 = 6(x + 7)
y + 4 = 6(x – 7)
Ronnie is scheduling a chess tournament in which each player plays every other player once. He created a table and found that each new player adds more games to the tournament in an arithmetic sequence. Answer this set of project questions regarding the chess games.
table:
# of players | # of games
1 | 0
2 | 1
3 | 3
4 | 6
5 | 10
Which of the following is a recursive rule for the original sequence?
A) an = an-1 + n + 1
B) an = an-1 + n - 1
C) an = an-1 + n
D) an = n2+ n
How many games must be played when 7 players are in the tournament?
A tangent-tangent angle intercepts two arcs that measure 135 degrees and 225 degrees. What is the measure of the tangent tangent angle?
Answer:
[tex]M=45 degrees[/tex]
Step-by-step explanation:
It is given that A tangent-tangent angle intercepts two arcs that measure 135 degrees and 225 degrees, thus in this the vertex lies outside, therefore
The measure of the tangent tangent angle is the half of the difference of the two given arc, that is
[tex]M=\frac{1}{2}(225-135)[/tex]
⇒[tex]M=\frac{90}{2}[/tex]
⇒[tex]M=45 degrees[/tex]
Therefore, The measure of the tangent tangent angle is 45 degrees.
A container holds 16 pints of lemonade. how much is this in gallons?
Answer: 2 gallons of lemonade.
Step-by-step explanation:
The container holds 16 pints of lemonade, and we know that a pint corresponds to 0.125 gallons.
So 16 pints are equal to 16 times 0.125 gallons:
16*0.125 gallons = 2 gallons
Then the container holds 2 gallons of lemonade.
A hotel cost $198including tax. what is a room for 2 weeks
What is the greatest factor of: 6x^2y^3 + 18x^3y^3 + 36x^3y^2
The greatest factor of the given expression is 6x^2y^2, found by identifying the common variables with the lowest exponents and the greatest common divisor of the coefficients.
Explanation:The student is asking to find the greatest common factor (GCF) of the algebraic expression 6x^2y^3 + 18x^3y^3 + 36x^3y^2. To find the GCF, we look for the highest exponents of the variables that are common in each term, and the largest coefficient that can evenly divide all the coefficients of the terms.
Firstly, we notice that each coefficient (6, 18, 36) is divisible by 6, so 6 is part of our GCF. Next, we see that the smallest exponent of x is 2 and the smallest exponent of y is 2 as well. So, x^2 and y^2 are also part of our GCF. The greatest factor is then 6x^2y^2.
Therefore, when we factor out the GCF from the expression, it would be written as:
6x^2y^2 (y + 3x + 6xy)
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What is the slope of the line passing through the points (1, −5)(1, −5) and (4, 1)(4, 1)?
−2
−4/5
2
5/4
If you eat two slices of a medium pizza with eight slices, what is the simplest fraction for the number of slices of pizza leftover?
Evaluate the definite integral from x=0 to x=1
the cubed root of (1 + 7x) dx
To evaluate the definite integral from x=0 to x=1 of the cubed root of (1 + 7x), we need to find the antiderivative, then calculate the difference in its values at x=1 and x=0 according to the fundamental theorem of calculus.
Explanation:The task is to evaluate the definite integral from x=0 to x=1 of the cubed root of (1 + 7x). To find the integral of this function, we need to apply the fundamental theorem of calculus. This theorem allows us to evaluate definite integrals as the net or accumulated area under the curve from one point to another.
Let's denote the function to integrate as f(x) = (1 + 7x)^(1/3). Our goal is to find the integral of f(x) with respect to x, within the bounds of 0 to 1.
To solve this integral, we would typically look for a suitable antiderivative of f(x), which, when evaluated at the upper and lower limits of integration, would provide us with the definite integral value.
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What is 22.5% written as a mixed number
Cobalt-60 has a half-life of about 5 years.
How many grams of a 300 g sample will remain after 20 years?
A. 0.0625 g
B. 9.375 g
C. 18.75 g
D. 37.5 g
The answer to this question is C, i took the test.
Hope you have a great day!
HELP
What is the equation of a line that is parallel to 2x+3y=3 and passes through the point (3,−4)?
What is a math teachers favorite breakfast? Its an algebra math worksheet riddle
The math teacher's favorite breakfast is Pi.
Pi (π)The number pi is a mathematical constant whose value is (3.141592653589793238...). its decimal representation is neither end (such as 1/4 = 0.25) nor becomes repetitive (such as 1/6 = 0.166666...). And it is generally denoted by the Greek letter p or π.
In geometry, the pi is generally defined as the ratio of the circumference of the circle to its diameter.
[tex]\rm{\pi=\dfrac{Circumference}{Diameter}[/tex]
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passes through (4,-5), slope = 3/4
A shop has one pound bags of peanuts for $2.00 and three pound bags of peanuts for $5.50. If you buy 5 bags and spend $17.00, how many of each size bag did you buy?
Answer:
3 one-pound bags; 2 three-pound bags
Step-by-step explanation:
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How are the two functions f(x) = 0.7(6)x and g(x) = 0.7(6)–x related to each other?
The functions f(x) = 0.7(6)x and g(x) = 0.7(6)–x are related to each other. f(x) represents exponential growth, while g(x) represents exponential decay. As f(x) increases, g(x) decreases, and vice versa.
Explanation:These two functions, f(x) = 0.7(6)x and g(x) = 0.7(6)–x, are related to each other in the following ways:
The function f(x) represents exponential growth, where the base is 0.7(6) and the exponent is x. As the value of x increases, f(x) will increase exponentially.The function g(x) represents exponential decay, where the base is 0.7(6) and the exponent is -x. As the value of x increases, g(x) will decrease exponentially.Therefore, f(x) and g(x) are related inversely to each other. As f(x) increases, g(x) decreases, and vice versa.
In the equation below, what is the coefficient of the variable?
15 = 8x
A. =
B. 8
C. x
D. 15
Justify each step of the solution by stating the property that was used to get to each step.
Given:
Step 1:
Step 2:
Step 3: 17x = 40
Step 4:
Step 1: Distributive Property. Step 2: Combine like terms. Step 3: Add 34x to both sides. Step 4: Divide by 17. x = 60/17.
Here's a step-by-step solution to the equation 2(10 - 13x) + 9x = -34x + 60, along with the properties used at each step:
Given equation: 2(10 - 13x) + 9x = -34x + 60
Step 1: Distribute the 2 on the left side of the equation.
Property used: Distributive Property
2 * 10 - 2 * 13x + 9x = -34x + 60
20 - 26x + 9x = -34x + 60
Step 2: Combine like terms on both sides of the equation.
Property used: Combining like terms
-26x + 9x = -34x + 60
(-26x + 9x) = (-34x + 60)
-17x = -34x + 60
Step 3: Add 34x to both sides of the equation to isolate the variable x on the right side.
Property used: Adding the same value to both sides of an equation to maintain equality.
-17x + 34x = -34x + 60 + 34x
17x = 60
Step 4: Finally, divide both sides by 17 to solve for x.
Property used: Dividing both sides of the equation by the same nonzero value to maintain equality.
(17x) / 17 = 60 / 17
x = 60 / 17
So, the solution to the equation is:
x = 60 / 17
Each step in this solution is justified by the properties of equality and arithmetic operations.
The complete question is here:
Justify each step of the solution by stating the property that was used to get to each step. Given: 2 (10-13x) + 9x = -34x + 60 Step 1: 20 - 26x + 9x = -34x + 60 Step 2: -17x = -34x + 10 Step 3: 17x = 40 Step 4: x =( 40)/(17) 40 on top of 17 as a fraction.
Which term is used to describe two quantities that may or may not be equivalent?
factor
solution
product
equality
Write each fraction as an expression with negative exponents.
v/w raised to the second power ...?
A rectangular box has a perimeter of 36 inches. Which of the following equations represents the area of the rectangular box in terms of its width, w?
a. A = 36w - w2 b. A = 18w - w2 c. A = 36 - w2 d. A = 18 - w2
Identify the graph of 3i (See figures).
Answer:
on edu its B
Step-by-step explanation:
What do you do when you must solve a system of equations by elimination but all of the coefficients on the variables are different? What is important to remember when doing this?
I NEED HELP FAST!!!!!
Monique is factoring the expression 4x+16xy Her work is shown below.
Factors of 4x: 1, 2, 4, x
Factors of 16xy: 1, 2, 4, 8, 16, x, y
GCF: 4x
Factored expression: 4x(0+4y)
Which best describes the accuracy of Monique’s solution?
A. Monique’s solution is accurate.
B. Monique made an error when listing the factors, which affected the GCF and the factored expression.
C. Monique made an error when determining the GCF from her list of factors.
D. Monique made an error when writing the factored expression.
Answer with explanation:
Monique is factoring the expression 4x+16xy Her work is shown below.
Factors of 4 x→: 1, 2, 4, x
Factors of 16 x y:→ 1, 2, 4, 8, 16, x, y
G CF: 4 x
Factored expression: 4 x(0+4 y)→Incorrect
→4 x +16 x y= 4* x + 4 *4* x* y
= 4* x* (1+4 y)
while writing the factored expression, we have to break the terms into smaller terms that is into monomials and then we should take out the common factor between the two terms.
Option D: Monique made an error when writing the factored expression.
how do you simplify radicals?