What is the relation between the variables in the equation
a.
varies inversely as y
b. varies directly as y
Please select the best answer from the choices provided
A
OB
OC
OD
-
y
-1?
=
c. y varies directly as **
d.
y varies inversely as **
Answers
Answer:
y varies as ob and c because oof the linear expression Ox (x)
Related Questions
Solve the differentiable equation if possible:
Answers
D/dt [e^-t y] = te^-t
D/dt [e^-t y] dt = te^-t dt
E^-t y = te^-t dt
E^-t y = -te^-t - e^-t + C
Answer: y= -t -1 + C/e^-t
What is the value of x
Answers
Answer:
28
Step-by-step explanation:
14x2=28
Therefore x=28
many lines of symmetry does this rectangle have?
Answers
Answer:
Step-by-step explanation:
an normal rectangle will have abot 4 lines of symmetry but since i can not see you rectangle i cant tell for sure
Dustin has only nickels and quarters in his piggy bank. He has 49 coins total for a combined value of $8.85. How many of each type of coin does he have?
Answers
Answer:
17 nickels, 32 quarters
Step-by-step explanation:
n + q = 49
.05n + .25q = 8.85
Multiply the 2nd equation x 4 to make the q's the same amount
4(.05n + .25q = 8.85)
0.2n + q = 35.4
Now subtract the first equation
n + q = 49
- .2n + q = 35.4
.8n = 13.6
n = 17 There are 17 nickels
n + q = 49, so 17 + q = 49
q = 32
Answer:
he had 17 nickles and 32 quarters
Step-by-step explanation:
cc\(\frac{p-8}{p^2-12p+32} ÷\frac{1}{10}\)
Answers
Using Factorization, The solution of the algebraic fraction is \(\frac{10}{p-4}\).
An algebraic equation is what?Due to the fact that they have polynomials on both sides of the equality sign, algebraic equations are also known as polynomials. Variables, coefficients, constants, and algebraic operations like addition, subtraction, multiplication, division, and exponentiation are all components of algebraic equations.
Factorization: what is it?Numbers are factored using formulas for factorization. Decomposing an entity into the result of another entity or factors that, when multiplied together, produce the original number is known as factorization. Simple factorization formulas are used in factorization procedures to simplify algebraic or quadratic equations. Instead of expanding parentheses, expressions are expressed as the sum of their constituent parts. Each equation may have factors that are algebraic expressions, variables, or .
\(\frac{p - 8}{8 p²-12p+32} \div \frac{1}{10}\)
first we factorize the denominator and using invert Endo to the other fraction.
\(\frac{p - 8}{8 p²-12p+32} \times \frac{10}{1}\\\frac{p - 8}{(p - 8)(p - 4)} \times 10\)
= \(\frac{10}{p-4}\)
Hence the simplified fraction is \(\frac{10}{p-4}\)
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Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answers
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
For a population data set, o = 16.90.a. What should the sample size be for a 98% confidence interval for u to have a margin of error of estimate equal to 5.90?n =ib. What should the sample size be for a 95% confidence interval for u to have a margin of error of estimate equal to 4.49?n =i
Answers
- To solve this question, we need to apply the formula for Margin of Erro. The formula for Margin of Error is:
\(undefined\)3x^3-2x^2+7x+9 divided by x^2-3x
Answers
The quotient is 3x + 7, and the remainder is (28x + 9) / (x^2 - 3x).
What is Division?A division is a process of splitting a specific amount into equal parts.
We have to find 3x³-2x²+7x+9 divided by x²-3x
3x³-2x²+7x+9 is the dividend and x²-3x is the divisor.
The steps to solve this are given below.
Step 1: Take the first digit of the dividend from the left. Check if this digit is greater than or equal to the divisor.
Step 2: Then divide it by the divisor and write the answer on top as the quotient.
Step 3: Subtract the result from the digit and write the difference below.
Step 4: Bring down the next digit of the dividend (if present).
Step 5: Repeat the same process.
Hence, the quotient is 3x + 7, and the remainder is (28x + 9) / (x^2 - 3x).
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PLEASE HURRY⚠️⚠️
How do you find the length of an unknown leg in a right triangle?
Answers
Answer:
by measuring in feet
Step-by-step explanation:
its the easiest way to find what your looking for
Answer:
You can find the length of an unknown leg using the Pythagorean theorem
Step-by-step explanation:
\(a^2+b^2=c^2\)
or
\(c^2-a^2=b^2\)
or
\(c^2-b^2=a^2\)
note c = hypotenuse and b and a = legs
Find the complete factored form of the
polynomial :
-8m²n-7m² nª
Enter the correct answer.
Answers
The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).
To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:
-8m²n - 7m²n = (-m²n) (8 + 7a)
Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.
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At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.1 and the probability that the flight will be delayed is 0.11. The probability that it will not rain and the flight will leave on time is 0.88. What is the probability that it is raining and the flight is delayed? Round your answer to the nearest thousandth.
Answers
The probability that it is raining and the flight is delayed is 0.011, or approximately 0.011 rounded to the nearest thousandth.
What is the probability that it is raining and the flight is delayed?Let's use the formula for calculating the probability of the intersection of two events: P(A and B) = P(A) × P(B|A), where P(B|A) is the probability of event B occurring given that event A has occurred.
Let A be the event that it is raining, and B be the event that the flight is delayed. We are looking for P(A and B).
We know that:
P(A) = 0.1 (the probability that it will rain)
P(B) = 0.11 (the probability that the flight will be delayed)
P(not A and not B) = 0.88 (the probability that it will not rain and the flight will leave on time)
We can use the complement rule to find P(A or B):
P(A or B) = 1 - P(not A and not B)
P(A or B) = 1 - 0.88
P(A or B) = 0.12
Now we can use the formula for the intersection of two events:
P(A and B) = P(A) × P(B|A)
We know that P(A) = 0.1, and we need to find P(B|A), the probability of the flight being delayed given that it is raining.
We can use Bayes' theorem to find P(B|A):
P(B|A) = P(A and B) / P(A)
P(B|A) = (P(A) × P(B|A)) / P(A)
P(B|A) = P(B and A) / P(A)
We can rearrange this to get:
P(A and B) = P(B|A) × P(A)
Substituting the values we know:
P(B|A) = P(A and B) / P(A)
0.11 = P(A and B) / 0.1
P(A and B) = 0.11 × 0.1
P(A and B) = 0.011
Therefore, the probability that it is raining and the flight is delayed is 0.011, or approximately 0.011 rounded to the nearest thousandth.
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A high-altitude spherical weather balloon expands as it rises due to the drop in atmospheric pressure. Suppose that the radius r increases at the rate of 0.03 inches per second and that r=48 inches at time t=0. Determine a function that models the volume V of the balloon at time t and find the volume at t=300 seconds.
Answers
Considering a linear function for the radius, we have that:
The volume of the sphere is modeled by \(V(t) = \frac{4\pi(0.03t + 48)^3}{3}\).After 300 seconds, it is of 775,735 in³.What is a linear function?A linear function is modeled by:
\(y = mx + b\)
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value.What is the volume of a sphere?The volume of a sphere of radius r is given by:
\(V = \frac{4\pi r^3}{3}\)
In this problem, radius r increases at the rate of 0.03 inches per second and that r=48, hence it is represented by the following linear function:
\(r(t) = 0.03t + 48\)
Thus, the volume of the sphere is given by:
\(V = \frac{4\pi r(t)^3}{3}\)
\(V(t) = \frac{4\pi(0.03t + 48)^3}{3}\)
After 300 seconds, the volume in cubic inches is given by:
\(V(300) = \frac{4\pi(0.03(300) + 48)^3}{3} = 775735\)
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HELP ME PLEASE!!! HELPPP!!! A backyard pool is in the shape of a rectangle. The pool has a perimeter of 90 feet and an area of 500 ft2. Which of the following could be the pool's length and width? 15 feet and 30 feet, 10 feet and 35 feet ,50 feet and 10 feet, 25 feet and 20 feet
Answers
Answer:
(d) 25 feet and 20 feet
Step-by-step explanation:
You want the possible dimensions of a pool with an area of 500 square feet and a perimeter of 90 feet.
AreaThe area is the product of the length and width. The area of the pools offered in the answer choices are ...
(a) 15·30 = 450 . . . square feet
(b) 10·35 = 350 . . . square feet
(c) 50·10 = 500 . . . square feet
(d) 25·20 = 500 . . . square feet
The area requirement eliminates answer choices A and B.
PerimeterThe perimeter is twice the sum of length and width. The perimeters of the possible pools are ...
(c) 2(50 +10) = 120 . . . feet
(d) 2(25 +20) = 90 . . . feet
The perimeter requirement eliminates answer choice C.
The pool's possible length and width are 25 feet and 20 feet, choice D.
__
Additional comment
You could write a quadratic equation for the pool dimensions, but doing that will generally involve more work than checking the given answer choices.
If x is the width, then 45-x is the length, and the area is ...
x(45 -x) = 500
x² -45x +506.25 = -500 +506.25 . . . multiply by -1, complete the square
x = 22.5 -√6.25 = 20 . . . . take the square root; width is the smaller dimension
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A number cube is rolled. Event A is rolling an odd number, and event B is rolling a factor of 12. What is P(AU B)?
Answers
Explanation:
A = set of odd numbers = {1,3,5}
B = set of factors of 12 = {1,2,3,4,6}
A U B = union of set A and set B
A U B = {1,3,5} union {1,2,3,4,6}
A U B = {1,3,5, 1,2,3,4,6}
A U B = {1,2,3,4,5,6}
The set union operation combines two sets into one bigger set. Duplicates are tossed out.
There are 6 elements in the set A U B = {1,2,3,4,5,6} out of 6 faces of the number cube.
Therefore, the probability event A U B happens is 6/6 = 1 = 100%; i.e. it is guaranteed to happen. Each face of the number cube is either odd, a factor of 12, or both.
Side notes:
A U B can be read out as "event A or event B"; so P(A U B) is "the probability event A happens or B happens or both".A intersect B = {1,3} = values that are in both set A and set B at the same time. These are both odd and a factor of 12.what is da rate to question
Answers
The calculated value of the rate of the graph is 0.8
How to determine the rate of the graphfrom the question, we have the following parameters that can be used in our computation:
The graph
Where, we have
(0, -16) and (20, 0)
The rate of the graph is calculated as
Rate = Change in y/x
using the above as a guide, we have the following:
Rate = (0 + 16)/(20 - 0)
Evaluate
Rate = 0.8
Hence, the rate is 0.8
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What’s the midpoint between 15 and 37.5
Answers
Answer:
26.25
Step-by-step explanation:
I'm not sure if I'm right but I did 37.5 - 15 and I got 22.5. 22.5 divided by 2 gives me 11.25, so I added 15 and 11.25 which gives me 26.25
WHAT IS A VOLUME OF THE BOX WITH A HEIGHT OF 3\2 WIDTH OF 5\2 AND LENGHT OF 7\2
Answers
Answer:
13.125 or 105/8u^3
Step-by-step explanation:
To find the volume of the box, you can use the formula of length times width time height.
3 * 5 = 15
2*2=4
15/4*7/2=105/8 which can be divided to become 13.125
If x>7, then |x|>7. |y|>7, so y=7
Valid or invalid?
Answers
\(\text{if }x>7\text{, then }|x|>7\) is a valid argument
\(|y|>7\text{, so }y=7\) is not a valid argument
For the first argument: \(\text{if }x>7\text{, then }|x|>7\)
From the definition of absolute value function
\(|x|=x\) if \(x\ge0\)
That is every positive number is its own absolute value. Since
\(x>7\implies x\ge0\),
we can argue that
\(x>7\implies |x|>7\)
so the first argument is valid
For the second argument: \(|y|>7\text{, so }y=7\)
From the definition of absolute value function
\(|y|:=\left \{ {y\text{ if }y\ge0}\atop{-y\text{ if }y<0} }\right\)
This means that
\(|y|>7:=\left \{ {y>7\text{ if }y\ge0}\atop{-y>7\text{ if }y<0} }\right\)
or
\(|y|>7:=\left \{ {y>7\text{ if }y\ge0}\atop{y<-7\text{ if }y<0} }\right\)
no part of the definition allow for the option \(y=7\). So the second argument is not valid.
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When families play “fill and dump” activities and explore large and small objects with the children, they extend learning in the
Number and Quantity strand.
Measurement and Comparison strand.
Geometry and Spatial Thinking strand.
Mathematical Reasoning strand.
Submit
Answers
The correct option is the Measurement and Comparison strand.
When families play "fill and dump" activities and explore large and small objects with children, they are likely extending learning in the Measurement and Comparison strand of the mathematics curriculum. This strand involves understanding and using concepts of size, weight, capacity, and length to compare, measure, and describe objects and events. Activities like filling and dumping containers of different sizes and comparing the quantities of objects can help children develop their understanding of these concepts and their ability to compare and measure objects.
The Number and Quantity strand involves understanding and using numbers and number concepts to count, compare, and describe quantities. The Geometry and Spatial Thinking strand involves understanding and using geometric concepts and spatial reasoning to describe, analyze, and compare shapes and spatial relationships. The Mathematical Reasoning strand involves using logical thinking and problem-solving skills to make sense of mathematical ideas and solve problems. All of these strands are important for children's overall mathematical development and can be supported through a variety of activities and experiences.
Find the volume of a right circular cone that has a height of 4.5 ft and a base with a diameter of 19 ft. Round your answer to the nearest tenth of a cubic foot.
Answers
if it's diameter is 19, then its radius must be half that, or 9.5.
\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=9.5\\ h=4.5 \end{cases}\implies V=\pi (9.5)^2(4.5)\implies V\approx 1275.9~ft^3\)
Determine the level of measurement of the variable below.
Highest degree conferred (high school, bachelors, and so on)
Choose the correct answer below.
A. interval
B. ordinal
C. nominal
D. ratio
Answers
If 600 bolts were already examined and 12 were defective, determine the probability that next bolt found would be nondefective.
Answers
The probability that the next bolt found would be non-defective is 0.98 or 98%.
What is Probability Theory?A fundamental idea in mathematics and statistics, probability theory has several uses in the sciences, engineering, business, and social sciences. It is used to assess risks and uncertainties in diverse circumstances, analyse and forecast the possibility of events happening, and make decisions in the face of uncertainty.
Given:
Number of bolts already examined = 600
Number of defective bolts found = 12
Number of non-defective bolts = Total number of bolts examined - Number of defective bolts
= 600 - 12
= 588
Probability of finding a non-defective bolt = Number of non-defective bolts / Total number of bolts
= 588 / 600
= 0.98 or 98%
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Convert 0.86 into a fraction and reduce the answer to lowest terms
Answers
Answer:
43/50
Step-by-step explanation:
Answer:
43\50
Step-by-step explanation:
Convert to a mixed number by placing the numbers to the right of the decimal point over 100. Reduce the fraction
what is the value of the expression shown below
2 3/5 - 1 3/5
^ ^
TWO THREE-FIFTHS MINUS ONE THREE-FIFTHS
THE NUMBERS ARE MIXED FRACTIONS
Answers
Answer:
1
Step-by-step explanation:
1. One way to do this is converting both into improper fractions. To do this, multiply the whole number by the denominator and add that to the numerator.
2 3/5 --> 2*5 is 10 --> 10+3 is 13. --> 13/5
2. This leaves us with 13/5 - 8/5
3. Subtract the numerators
13/5 - 8/5 = 5/5
4. Simplify. If the numerator is the same number as the denominator, it's a whole number.
5/5 = 1
OR, in a single step, multiply 30 by .... to get to 20.
pls help . 40 points + brainliest
Answers
You are washing cars over the summer. It costs you $3 to wash each car and a one-time cost of $35 for some supplies to market your car wash. You plan to charge $10 per wash. Write an equation and solve to determine the amount of cars you need to break even.
Answers
The amount of cars you need to break even is 5.
To determine the number of cars you need to break even, we can set up an equation where the revenue equals the total cost.
Let's denote the number of cars as x.
Revenue = Number of cars × Price per wash
= x × $10
Total cost = Cost per car × Number of cars + One-time cost
= $3x + $35
To break even, the revenue should be equal to the total cost:
x × $10 = $3x + $35
Now, let's solve this equation to find the value of x:
10x = 3x + 35
Subtract 3x from both sides:
10x - 3x = 3x + 35 - 3x
7x = 35
Divide both sides by 7:
x = 35 / 7
x = 5
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use the distance formula to find the distance between each pair of points. (-1,4), (-4,-1)
Answers
Answer:
a.
Step-by-step explanation:
\(d = \sqrt{( y _2 - y) {}^{2} + ( x_2 - x ) {}^{2} } \)
\(d = \sqrt{( - 1 - 4) {}^{2} + \sqrt{ - 4 + 1) {}^{2} } } \)
\(d = \sqrt{ - 5 {}^{2} +( - 3 {}^{2} )} \)
\(d = \sqrt{25 + 9} \)
\(d = \sqrt{34} \)
write 16.76 correct to the nearest whole number
Answers
After the dot if it’s 1-4 then they it would’ve been 15
5-9 is 17
Answer:
17
Step-by-step explanation:
because they are both above 5 so add 1
please please help last text then finals l give brainliest
Answers
1. The x - intercepts of the parabola are
x = 2.5 s and x = 7.5 s2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s
3. The vertex of the parabola is at (5, 80).
What is a parabola?A parabola is a curved shape
1. Given the parabola above, to find the x - intercepts, we proceed as follows.
The x-intercepts are the points at which the graph cuts the x-axis.
They are
x = 2.5 s and x = 7.5 s2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.
The plane takes of at x = 2.5 s and lands at x = 7.5 s
3. The vertex is the maximum point on the graph.
So, we see that the vertex is at x = 5 s and y = 80 ft
So, the vertex is at (5, 80).
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Select the correct order for the following numbers
Answers
Answer:
cdab
Step-by-step explanation:
the answer is c, d, a, b
focus on the second numbers