Answer:
1. 0 = 0, 5 > 1
2. 7.24 < 7.42, 8.80 < 8.81, 0.11 = 0.11, 4.33 > 4.31
Step-by-step explanation:
If the number is positive, the one with the bigger decimals is always bigger
PLEASE HELP ASAPPPP!!!!!!!!
Answer:
slope: 1.25
Part B: The order in which the points are given does not change the value of the slope
Step-by-step explanation:
Part A. Given two points we can find slope using the slope formula
\(m = \frac{y_2-y_1}{x_2-x_1}\)
Given the points ( -6, 1/2) and ( -4,3 )
We plug in the y values and x values (starting with the last point give )
\(m=\frac{3-.5}{-4-(-6)} \\3-\frac{1}{2} =2.5\\-4-(-6)=2\\\frac{2.5}{2} =1.25\\\)
so we can conclude that the slope of a line that passes through the points ( -6, 1/2) and ( -4,3 ) is 1.25
Part B. The order in which the points are given does not change the value of the slope
Observe -
* flip the order in which the points are given *
given (-4,3) and (-6,1/2)
we use the same formula
*plug in the y and x values starting with the last point*
\(m=\frac{.5-3}{-6-(-4)} \\.5 - 3=-2.5\\-6-(-4)=-2\\\frac{-2.5}{-2} =1.25\)
The slope still equals 1.25 meaning that the order in which the points are given does not matter.
which equation matches the table??
The answer is the third one of y = 6x.
As you substitute x = 1, you get y = 6.
You substitute x = 2, you get y = 12.
HELP ASAP ONLY HAVE 2 MINS BEFORE IT TIMES OUT
Colleen spent 60 minutes online. If she spent 24 minutes on local news sites, what percent of her online time did she spend on local news sites?
Answer:
40%
Step-by-step explanation:
A mapping diagram showing a relation, using arrows, between input and output for the following ordered pairs: (negative 3, negative 9), (2, negative 6), (negative 5, 4), (1, 2), (6, 0).
What is the domain of the function shown in the mapping?
Answer:
{-3, 2, -5, 1, 6}
Step-by-step explanation:
The domain is the set of input values.
sole this question ?
30÷5+(9×5)-3²=
Answer:
30÷5+(45)-96+45-942I do exams and quizzes if ur interestedAnswer:
42
Step-by-step explanation:
30/5 + ( 9)(5)−32
= 6 + ( 9)(5)−32
= 6 + 45−32
= 51 − 32
= 51 − 9
= 42
hope I helped!!
person who gets it right gets brainliest
it is given that BD and AE are parallel. If BC is 3 units AB is 6 units and DE is 8 units, what is the measure of CD?
A 2 units
B 4 units
C 12 units
D 3 units
Rewrite the equation in the form ax²+bx+c=0, then identify the values of a, b, c
1. 6x + 11x = 35
b =
C-
2. 2x2 = 2 + 4x
a =
b=
C=
3. 4x² = 7x + 12
a =
b =
C=
a =
b =
4. 5x(4x + 3) - 10 = 0
5. 3x + 4x = -2
a =
b=
C=
If 5 times a number increased by 30 is 15, what is the number?
9
3
-3
-15
Answer: -3
Step-by-step explanation:
5 times -3 is -15
-15 + 30 is 15
Determine if \sqrt(9) is rational or irrational and give a reason for your answer
Answer:
/sqrt(9) would be rational. the square root of 9 is 3, 3x3 is 9. a irrational number cannot be written as a simple fraction.
Convert the given polar equation to a Cartesian equation. (Use the following as necessary: x and y.)
r = 4 / sin(θ) + 5 cos(θ)
The Cartesian equation will be;
⇒ x² + y² - 4x - 5y = 0
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The polar equation will be;
⇒ r = 4 sin(θ) + 5 cos(θ)
Now,
Substitute r = √x² + y² , r sin θ = x, r cos θ = y in above equation, we get;
The polar equation will be;
⇒ r = 4 sin(θ) + 5 cos(θ)
⇒ r² = 4 r sin(θ) + 5 r cos(θ)
⇒ x² + y² = 4x + 5y
⇒ x² + y² - 4x - 5y = 0
Thus, The Cartesian equation will be;
⇒ x² + y² - 4x - 5y = 0
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what does it mean when a radical does not have an index? is the expression equal to the radicand? explain.
The expression is not equal to the radicand.
What is Radical Index?
The root symbol nx. is known as a radical, and it is thus read "x radical n," or "the nth root of x." The horizontal line in the radical sign is known as the vinculum, the quantity under the vinculum is known as the radicand, and the quantity n written to the left is known as the index.
The radical is defined by the expression
\(\sqrt[n]{a}\)
where a is radicand and n is index.
The index value of square roots is two. When there is no index provided for a radical, it is presumed to be an index of two, or a square root.
\(a^{1/2}\) =\(\sqrt{a}\)
Thus, the expression is not equal to the radicand.
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The expression is not equal to the radicand.
What is Radical Index?
The root symbol nx. is known as a radical, and it is thus read "x radical n," or "the nth root of x." The horizontal line in the radical sign is known as the vinculum, the quantity under the vinculum is known as the radicand, and the quantity n written to the left is known as the index.
The radical is defined by the expression
where a is radicand and n is an index.
The index value of square roots is two. When there is no index provided for a radical, it is presumed to be an index of two or a square root.
= a^(1/2)
Thus, the expression is not equal to the radicand.
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Find the exact value of cos J in simplest form.
√29
14
15
H
The cosine of angle J is given as follows:
\(\cos{J} = \frac{14\sqrt{2}}{49}\)
What are the trigonometric ratios?The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the rules presented as follows:
Sine = length of opposite side/length of hypotenuse.Cosine = length of adjacent side/length of hypotenuse.Tangent = length of opposite side/length of adjacent side = sine/cosine.For the angle J in this problem, we have that:
4 is the adjacent side.\(\sqrt{98}\) is the hypotenuse.Hence the cosine of angle J is given as follows:
\(\cos{J} = \frac{4}{\sqrt{98}} \times \frac{\sqrt{98}}{\sqrt{98}}\)
\(\cos{J} = \frac{4\sqrt{98}}{98}\)
\(\cos{J} = \frac{2\sqrt{98}}{49}\)
As 98 = 2 x 49, we have that \(\sqrt{98} = \sqrt{49 \times 2} = 7\sqrt{2}\), hence:
\(\cos{J} = \frac{14\sqrt{2}}{49}\)
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a contractor is given a scale drawing of a rectangular patio. the scale from the patio to the drawing is 4 feet to 1 inch. what is the area of the actual patio?
b) Solve
(i)
9x = 36
Answer:
4
Step-by-step explanation:
Answer:x=4
Step-by-step explanation:
Divide 9 by both sides
Question 5 (5 points)
What is the volume of the right prism?
35 in.
37 in.
12 in.
40 in.
The volume of the right prism include the following: 8,640 in³.
How to calculate the volume of a rectangular prism?In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:
Volume of a rectangular prism = L × W × H
Where:
L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height or depth of a rectangular prism.Next, we would determine the area of the triangle at the base of the right prism as follows:
Base area = 1/2 × ( 36 × 12)
Base area = 1/2 × 432
Base area = 216 in².
Now, we can calculate the the volume of this right prism:
Volume = base area × height
Volume = 216 × 40
Volume = 8,640 in³.
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What is the solution, if any, to the inequality 13x|20?
all real numbers
no solution
X20
O x<0
The solution to the inequality 13x|20 is all real numbers, as any value of x, no matter how small or large, will make the statement true.
The way to address inequity Using only real values, 13x|20. This means that there is no single solution to this inequality. The inequality is essentially asking what values of x will make the statement true. In this case, any value of x, no matter how small or large, will make the statement true. This is because the absolute value of x is being taken, which means that the value of x is being evaluated regardless of the sign--whether it is positive or negative. For example, if x is -1, then 13x|20 would be 13(-1)|20, which simplifies to -13|20, or 20. This means that no matter what the value of x is, it will always make the statement true. Therefore, the solution to the inequality is all real numbers.
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3 Edward is scuba diving. He stops 14.3 m below the surface to look at a fish.
Then he swims down 5.8 m to look at a reef. He then swims up 3.2 m.
Which is the best approximation of Edward's current position relative to
the ocean surface?
CONS
Should
subtract
A 12 meters
B 11 meters
C-17 meters
D-23 meters
Dara chose B as the correct answer. How might she have gotten that answer?
Answer:
a. 12 metersStep-by-step explanation:
po ang sagot ko po
#CARRY ON LEARNINGPlease help me with edge question .
\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)
In the tournament described in Exercise 11 of Section 2.4, a top player is defined to be one who either beats every other player or beats someone who beats the other player. Use the WOP to show that in every such tournament with n players n∈ N, there is at least one top player.
Using the Well-Ordering Principle (WOP), it can be proven that in every tournament with n players (where n is a natural number), there is at least one top player, defined as someone who either beats every other player or beats someone who beats the other player.
We will prove this statement by contradiction. Assume that there exists a tournament with n players where there is no top player. This means that for each player, there exists either another player who beats them or a chain of players such that each player beats the next one. Now, consider the set S of all players in this tournament. Since S is a non-empty set of natural numbers, it has a least element, let's say k.
Now, player k either beats every other player in the tournament, making them a top player, or there exists a player, let's say player m, who beats player k. In the latter case, we have a chain of players: k, m, p_1, p_2, ..., p_t, where p_1 beats p_2, p_2 beats p_3, and so on until p_t.
However, this contradicts the assumption that there is no top player, as either player k beats every other player (if m does not exist), or player m beats someone who beats the other player (if m exists). Hence, by contradiction, we have shown that in every tournament with n players, there is at least one top player.
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find the area of each circle in terms of pie
Answer:
1: 452.16ft.
2: 12.56in.
3: 803.84yd.
Step-by-step explanation:
1: 24ft. / 2 = 12ft.
3.14 x 12ft.^2 =
3.14 x 144ft. =
452.16ft.
2: 4in. / 2 = 2in.
3.14 x 2in.^2 =
3.14 x 4in. =
12.56in.
3: 32yd. / 2 = 16yd.
3.14 x 16yd.^2 =
3.14 x 256yd. =
803.84yd.
The emotional atmoshere a reader sences in a poem or story is referred toas its
f(x)=3x+2 what is f(-5) ?
Answer:
hope it helps you.......
please answer!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
d is the answer because the value decreases the longer you use it
How many solutions does the nonlinear system of equations graphed below have?
Answer:
two
Step-by-step explanation:
solutions are where lines cross
the solutions for this system are (2,0) and (-6,8)
Answer:
2 solutions
Step-by-step explanation:
The solutions are the point(s) of intersection.
By inspection of the graph we can see that line (blue) intersects the parabola (red) at 2 points.
Therefore, the system of equations has 2 solutions.
Q5: WILL GIVE BRAINLIEST
The graph represents a relation where x represents the independent variable and y represents the dependent variable.
a graph with points plotted at negative 5 comma 1, at negative 2 comma 0, at negative 1 comma negative 1, at 0 comma 2, at 1 comma 3, and at 5 comma 1
Is the relation a function? Explain.
No, because for each input there is not exactly one output.
No, because for each output there is not exactly one input.
Yes, because for each input there is exactly one output.
Yes, because for each output there is exactly one input.
Answer:
(c) Yes, because for each input there is exactly one output.
Step-by-step explanation:
You want to know if the relation {(-5, 1), (-2, 0), (-1, -1), (0, 2), (1, 3), (5, 1)} represents a function.
FunctionA relation is a function if there is exactly one output for each input. When the (input, output) points are plotted on a graph, no two of them lie on the same vertical line (the "vertical line test"). When the points are listed in a table, no input value is repeated.
The attachment shows the graph of the given relation. You will notice it passes the vertical line test, and that no x-value is repeated in the table.
Is the relation a function?
C. Yes, because for each input there is exactly one output.
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A system of equations is shown below.
Equation 1: 2x−y=−8
Equation 2: x+2y=6
To begin solving the system of equations, Equation 1 is multiplied by a value of 2 to create Equation 3.
Equation 3: 4x−2y=−16
Equation 2: x+2y=6
Which procedure could best be used to eliminate one of the variables?
Possible Answers:
add Equation 2 to Equation 3
subtract Equation 2 from Equation 3
subtract Equation 3 from Equation 2
multiply Equation 2 by a value of 4
Answer:
add equation 2 to equation 3
Step-by-step explanation:
x + 2y = 6 → (2)
4x - 2y = - 16 → (3)
adding (2) and (3) term by term will eliminate y
5x + 0 = - 10
5x = - 10 ( divide both sides by 5 )
x = - 2
substitute x = - 2 into either equation (1) or equation(2) and solve for y
substituting into (2)
- 2 + 2y = 6 ( add 2 to both sides )
2y = 8 ( divide both sides by 2 )
y = 4
solution is x = - 2 and y = 4
To rent a car for one week, a car rental company charges a $200, 200 base price as well as $0.45. She has a 275 budget. Which of the following is a possible number of miles that Jennifer can drive without exceeding her budget? A) 166 miles B) 167 miles C) 168 miles D) 169 miles
Answer:
A
Step-by-step explanation:
base 200 dollars
200+0.45 x ≤ 275
for 166 miles: 200+0.45(166)=274.7 it does not exceed the budget
Answer:
Your correct answer is option A.
Step-by-step explanation:
Your base is $200
200+0.45 x ≤ 275
for the 166 miles: 200+0.45(166)=274.7
A parameter is a descriptive measure of some characteristics of the population.
True
False
The statement is false. A parameter is a descriptive measure of a whole population.
What is the different of parameter and statistic?A parameter tells us about a whole population. It means that a parameter should be found to understand all the characteristics of a population. A population itself is the entire group that we want to study.
For example: A population mean. We take a class as the population. We asked them about age and found that the average age is 20. That is a parameter.
A statistic otherwise tells us about some parts of the population. It describes a sample. A sample itself is a small group taken from the population.
For example: A sample mean. We take some people of the class to interview their age. We found the average age is 21. This is a statistic.
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Find the exact length of the curve. y = In(sec(x)), 0≤x≤ Need Help? Read It π 4 Watch It
The curve is y = In(sec(x)) and we have to find its length. We are given the range as 0 ≤ x ≤ π/4. So, the formula for the length of the curve is given as:
To solve for the length of the curve of y = In(sec(x)), we use the formula,
`L = ∫[a,b] √[1+(f′(x))^2] dx`.Where, `a = 0` and `b = π/4`. And `f′(x)` is the derivative of `In(sec(x))`.
We know that:`f′(x) = d/dx[In(sec(x))]`
Using the formula of logarithm differentiation, we can write the above equation as:
`f′(x) = d/dx[In(1/cos(x))]`
So,`f′(x) = -d/dx[In(cos(x))]`
Therefore,`f′(x) = -sin(x)/cos(x)`
Substituting the values, we get:
`L = ∫[a,b] √[1+(f′(x))^2] dx`
`L = ∫[0,π/4] √[1+(-sin(x)/cos(x))^2] dx`
`L = ∫[0,π/4] √[(cos^2(x)+sin^2(x))/(cos^2(x))] dx`
`L = ∫[0,π/4] sec(x) dx`
Now, `L = ln(sec(x) + tan(x)) + C` where `C` is a constant.
We calculate the constant by substituting the values of `a = 0` and `b = π/4`:
`L = ln(sec(π/4) + tan(π/4)) - ln(sec(0) + tan(0))`
`L = ln(√2 + 1) - ln(1 + 0)`
`L = ln(√2 + 1)`
Thus, the exact length of the curve is `ln(√2 + 1)` units.
Thus, the exact length of the curve of y = In(sec(x)), 0≤x≤π/4 is `ln(√2 + 1)` units.
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A plastic pool gets filled up with 10L of water per hour.
a) After 2 hours how much water is in the pool? Write an equation.
b) After how many hours will the pool be 80L?
c) Is part b) linear or nonlinear?
a) The amount of water in the pool after 2 hours can be calculated using the equation.
Water in pool = 10L/hour × 2 hours = 20L.
b) The pool will be 80L when the equation is satisfied: 80L = 10L/hour × Time.
Solving for Time, we find Time = 8 hours.
c) Part b) is linear.
a) To calculate the amount of water in the pool after 2 hours, we can use the equation:
Water in pool = Water filling rate × Time
Since the pool gets filled up with 10L of water per hour, we can substitute the values:
Water in pool = 10 L/hour × 2 hours = 20L
Therefore, after 2 hours, there will be 20 liters of water in the pool.
b) To determine the number of hours it takes for the pool to reach 80 liters, we can set up the equation:
Water in pool = Water filling rate × Time
We want the water in the pool to be 80 liters, so the equation becomes:
80L = 10 L/hour × Time
Dividing both sides by 10 L/hour, we get:
Time = 80L / 10 L/hour = 8 hours
Therefore, it will take 8 hours for the pool to contain 80 liters of water.
c) Part b) is linear.
The equation Water in pool = Water filling rate × Time represents a linear relationship because the amount of water in the pool increases linearly with respect to time.
Each hour, the pool fills up with a constant rate of 10 liters, leading to a proportional increase in the total volume of water in the pool.
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