Answer:
Irrational
Step-by-step explanation:
A rational number can be expressed as a ratio of two integers , p and q of the form \[\frac{p}{q}\]
So following are examples of rational numbers:
\[\frac{1}{2}\] is a rational number\[\frac{3}{4}\] is a rational number2 is a rational number as it can be expressed as \[\frac{2}{1}\]On the other hand , any number which cannot be expressed in this form is called an irrational number. For example:
\[\sqrt{2}\]\[\sqrt{3}\]\[-\sqrt{127}\]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.
how do you simplify radicals?
HELP
What is the equation of a line that is parallel to 2x+3y=3 and passes through the point (3,−4)?
For several years, the state of New Hampshire Fish and Game Department earned several thousand dollars each year by auctioning wildlife killed along the Granite State’s roadways. The “road kill,” required to be in relatively good shape, was stored in a large freezer until the annual December auction. During the most recent auction three different collections of species made up the vast majority of frozen wildlife up for bid. Each of those collections made up one- third of the combined total. There was a set of bobcats, foxes and otters. There was a group of beavers and fishers (a weasel like animal). The final third was a large collection of black bears. Beavers made up 16.1% of the overall total. There were as many bobcats as beavers. There were four more foxes than otters. There were 16 fishers. What was the total number of road kill in these three collections, and how many were there of each species? (Hint: one-third equals 33.3%)
Final answer:
To find the total number of road kill in the three collections, we set up and solve an equation. Each species is assigned a variable, and using the information given, we can find the number of animals in each collection.
Explanation:
To find the total number of road kill in the three collections, we need to determine how many animals are in each collection. Let's assign variables to each species: bobcats = x, beavers = 16.1%x, foxes = x + 4, otters = x - 4, fishers = 16.1%. Given that each collection makes up one-third of the total, we can set up the equation: x + 16.1%x + x + x - 4 + 16.1%x = (1/3) * total. Simplifying the equation, we get 3.3x - 4 = (1/3) * total. Since beavers make up 16.1% of the total, we can substitute 16.1%x for beavers in the equation: 3.3x - 4 = (1/3) * total. Solving for x, we get x = (4 + (1/3) * total) / 3.3. Since bobcats and beavers have the same number, x = 16.1%x, which can be written as x = 0.161x. Equating the two, we get x = 0.161x. Finally, solving for x, we find that x = 0.161x, which simplifies to x = 0.161x. Therefore, each collection has the following numbers of animals: bobcats = 0.161x, beavers = 16.1%x, foxes = x + 4, otters = x - 4, and fishers = 16.1% total.
In his
garden Tim
plants the seed 4 and one fourth
in. below the ground. After one month the tomato plant has grown a total of 8 and one half
in. How many inches is the plant above the ground?
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!
Which term is used to describe two quantities that may or may not be equivalent?
factor
solution
product
equality
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
If you were solving a system of equations and you came to a statement like 1 = 3, what do you know about the solution to the system? (1 point)
The solution is (1, 3)
The solution is x = 1 and y = 3
There is no solution
There are infinitely many solutions
we know that
the statement
[tex]1=3[/tex] -----> is not true
so
The system has no solutions
For example
two parallel lines
[tex]y=5x+1[/tex] -----> equation A
[tex]y=5x+3[/tex] -----> equation B
The system has no solution. because the lines are parallel
If you equate equation A and equation B
[tex]5x+1=5x+3[/tex]
[tex]1=3[/tex] ------> is not true
therefore
the answer is the option
There is no solution
Answer:
There is no solution
Step-by-step explanation:
1 doesn't equal 3 so it can't have a solution
What is 22.5% written as a mixed number
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:
h
In the equation below, what is the coefficient of the variable?
15 = 8x
A. =
B. 8
C. x
D. 15
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]
20 POINT QUESTION
Solve the system of equations using the elimination method.
8x + 7y = 89
2x + 5y = 45
Explain each step and show how to verify your results.
PLEASE HURRY!!! i promise brainliest answer to the first CORRECT answer
8x + 7y =89
2x + 5y=45
You want to be able to subtract one away from the other one so you are just left with either x or y. to do this we could multiply the bottom equation by 4
so you would get
8x+7y=89
8x + 20y= 180
Now we can subtract equation 1 from equation 2 so you get
13y=91
this gives you y=7 so to find x we can simply substitute y into an equation;
2x + 5x7=45
2x + 35= 45
2x = 10
x =5
so the final answer is y = 7/ x = 5
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
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.
How do I set the proportions up
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.
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.
Learn more about Definite Integral Evaluation here:https://brainly.com/question/29685762
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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]
Learn more about Pi:
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Find the highest common factor of 20 and 28
Answer:
4
Step-by-step explanation:
The factors of 20 are: 1, 2, 4, 5, 10, 20
The factors of 28 are: 1, 2, 4, 7, 14, 28
Then the greatest common factor is 4.
passes through (4,-5), slope = 3/4
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)
Identify the graph of 3i (See figures).
Answer:
on edu its B
Step-by-step explanation:
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 of these sentences includes an infinitive phrase??
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?? ...?
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?
A hotel cost $198including tax. what is a room for 2 weeks