Solve the equation 10r – 2 = 28 for r.A.-1B.1C.3D.5
Answers
Hi there!
10r-2=28
Move 2 to the other side, using the opposite operation:
10r=28+2
10r=30
Divide both sides by 10 to isolate r:
r=3 (Option C)
Hope it helps! :)
~GracefulGirlie
Good luck on your assignment. :)
Related Questions
Use polar coordinates to find the volume of the given solid.
Below the cone z = √x² + y² and above the ring 1 ≤ x² + y² ≤ 64
Answers
To find the volume of the given solid using polar coordinates, we integrate the function over the appropriate range of values for the radial coordinate and the angle.
The given solid consists of a cone and a ring in the xy-plane. The cone is defined by the equation z = √(x² + y²), which represents a right circular cone with its vertex at the origin and opening upwards. The ring is defined by the inequality 1 ≤ x² + y² ≤ 64, which represents a circular region centered at the origin with an inner radius of 1 unit and an outer radius of 8 units.
To evaluate the volume using polar coordinates, we can express the equations in terms of the radial coordinate (r) and the angle (θ). In polar coordinates, the cone equation becomes z = r, and the ring equation becomes 1 ≤ r² ≤ 64. To set up the integral, we need to determine the range of values for r and θ. For the radial coordinate, r ranges from 1 to 8, as that corresponds to the region defined by the ring. For the angle θ, we can integrate from 0 to 2π, covering a full revolution around the origin.
The volume integral is then given by V = ∫∫∫ r dz dr dθ over the region defined by 1 ≤ r² ≤ 64 and 0 ≤ θ ≤ 2π. By evaluating this triple integral, we can find the volume of the solid.
To learn more about polar coordinates click here:
brainly.com/question/13103661
#SPJ11
A pickup truck traveled 12 miles in the same amount of time it took a school bus to travel 8 miles along the same route. The school bus was traveling 15 miles per hour slower than the pickup truck. Write and solve a rational equation that can be used to determine how fast was each vehicle traveling. pickup truck's speed: mph bus's speed: mph
Answers
Answer:
the pickup truck went 45 mph
the bus went 30mph
Step-by-step explanation:
uh i just guessed tbh & got it right
a man finds the angle of depression of a parked car to be 40° from a floor 25m high in a multi storey building.Find the distance of the car from the foot of the building
Answers
When the angle of depression is 40° then the distance of the car from the foot of the building is 20.9775 m.
What is the distance based on angle of depression?The angle of depression is just the angle formed by the horizontal line and the object as seen from the horizontal line. It is primarily used to calculate the distance between two objects where the angles and distance from the ground are known.Here given that,
Height of the building = 150 m
Angle of depression = 40°
We have to find distance of car from the foot of the building.
x m be the distance between the car and the building.
So here let imagine it as ΔABC,
Tan 40° = AC/AB
Tan 40° = 0.8391
Therefore the distance,
x = 25 x 0.8391
x = 20.9775 m
Therefore the distance of car from the foot of the building is 20.9775m
To learn more about angle of depression refer to :
https://brainly.com/question/17193804
#SPJ1
Eighty percent of students surveyed said they feel more focused after exercising. Nine hundred fifty students were surveyed. Students Who Feel More Focused after Exercise 20% 20% 20% 20% 20% How many students said they feel more focused after exercising?Eighty percent of students surveyed said they feel more focused after exercising. Nine hundred fifty students were surveyed. Students Who Feel More Focused after Exercise 20% 20% 20% 20% 20% How many students said they feel more focused after exercising?
Answers
Answer:760
Step-by-step explanation:
Answer:
760
Step-by-step explanation:
amy can eat 60 corn bogs in 40 minutes. bobby can eat 40 corn dogs in 16 minutes. how many minutes would it take both of them to eat 660 corn dogs?
Answers
It would take both of them 165 minutes to eat 660 corn dogs.
How we can find the rate at which each person?First, we can find the rate at which each person eats corn dogs by dividing the number of corn dogs by the time it takes to eat them:
Amy's rate: 60 corn dogs / 40 minutes = 1.5 corn dogs per minute
Bobby's rate: 40 corn dogs / 16 minutes = 2.5 corn dogs per minute
Let's let t be the number of minutes it takes for both Amy and Bobby to eat 660 corn dogs. We can set up an equation using the fact that the total number of corn dogs they eat is equal to the sum of what each person eats in that time:
1.5t + 2.5t = 660
Simplifying this equation, we get:
4t = 660
Dividing both sides by 4, we get:
t = 165
Therefore, it would take both of them 165 minutes to eat 660 corn dogs.
Learn more about minutes
brainly.com/question/15600126
#SPJ11
what is the solution to negative 54 over x = -6
Answers
Answer:
Your answer is = -9
What are the three types of horizontal asymptotes?
Answers
There are 3 cases to consider when determining horizontal asymptotes:
1) Case 1: if: degree of numerator < degree of denominator. then: horizontal asymptote: y = 0 (x-axis)
2) Case 2: if: degree of numerator = degree of denominator.
3) Case 3: if: degree of numerator > degree of denominator.
Three years ago, Ashly bought $920 worth of stock in a software company. Since then the value of her purchase has been increasing at an average rate of 11 12 % per year. How much is the stock worth now?
Answers
Answer:
$1022.304Step-by-step explanation:
Given data
time if investment= 3 years
amount=$920
rate= 11.12%
we want to find the 11.12% of $920 is
= (11.12/100)*920
=0.1112*920
=102.304
Therefore we are going to add the 102.304 to the amount invested which is
102.304+920
=$1022.304
stock worth is $1022.304
The table of values represents a linear function g(x), where x is the number of days that have passed and g(x) is the balance in the bank account:.
Answers
A. The slope of the line is 40
B. The equation of the line is 40x - y + 600 = 0
C. The equation is g(x) = 4x + 600
The balance is 628 Rs.
The formula of the slope of line = Δy/Δx
= 720 - 600 / 3 - 0
= 120/3
= 40
The equation of a line is given as y - y₁ = m(x - x₁)
m = 40 which is the slope.
When we substitute we have
y - 600 = 40(x - 0)
We have to substitute x as 0
y - 600 = 0
y = 600
therefore y = 40x + 600
This implies that 40x - y + 600 = 0
c. y - 600 = 40x
g(x) - 600 = 4x
hence
g(x) = 4x + 600
d. x is 7 days
g(x) = 4*7 + 600
= 628
The balance in the bank after 7 days is 628Rs.
Read more about the slope of the line:
https://brainly.com/question/3493733
#SPJ4
The complete question is:
The table of values represents a linear function g(x), where x is the number of days that have passed and g(x) is the balance in the bank account:
x g(x)
0 $600
3 $720
6 $840
Part A: Find and interpret the slope of the function. (3 points)
Part B: Write the equation of the line in point-slope, slope-intercept, and standard forms. (3 points)
Part C: Write the equation of the line using function notation. (2 points)
Part D: What is the balance in the bank account after 7 days? (2 points)
Last week, the value of an investment changed at a rate of –$0.80 each hour.
After how many hours was the total change in value –$3.60?
Answers
Answer:
4 hours
Step-by-step explanation:
3.6 / .8
Find the Celsius temperature that corresponds to 110°F.
Answers
Answer:
43 celcius
Step-by-step explanation:
A once thriving company in teaneck had its monthly profits, in thousands of dollars, modeled by the equation? f(t) = t^2 9/ 1t^2 2 where t is in months after june 1st, 2002. estimate the company's profits on june 1st, 2002. estimate the company's profits many years into the future
Answers
The company's profits on June 1, 2002 is $4500 and the company's profits many years into the future is $1000 per month.
The equation f(t) = (t^2 + 9) / (t^2+2) provides the monthly profits, in thousands of dollar, where t refers to months after June 1, 2002.
The company’s profit on June 1, 2002 using the equation is when t = 0 months
f(0) = (0^2 + 9) / (0^2+2) = 9/2 = 4.5 or $4500.
The company’s profit on many years into the future using the equation is given by:
Limit(t→∞)((t^2+9)/(t^2+2))= Limit(t→∞)(2t/2t)=1
Hence the monthly profit is $1,000.
Learn more about Profits:
https://brainly.com/question/1078746
#SPJ4
Complete the statement using the specified property. Multiplication Property of One
1 x w x 16
Answers
The multiplication property of one is an identity property
The expression is given as:
\(\mathbf{1 \times w \times 16}\)
The multiplication property of one states that:
When one is multiplied by any number or expression, the number or expression remains unchanged.
So, we have:
\(\mathbf{1 \times w \times 16 = w \times 16}\)
This property is also referred to as the identity property.
The general rule is represented as:
\(\mathbf{1 \times a = a}\)
Examples are:
1 * 2 = 2
1 * x = x
1 * ab = ab
And so on
Hence, the multiplication property of one is an identity property
Read more about multiplication property at:
https://brainly.com/question/17426365
abc is a right triangle with ab=ac. bisector of <a meets bc at d. prove that bc = 2ad.
Answers
Answer:
Let ac=ab=5
With this, bc= 5√2
Step-by-step explanation:
So to find ad, Let ad be x
5√2=(2)(x)
(5√2/2)= x
This proves that bc=2ad
how many three-digit multiples of 3 can be written using numbers 1,3,5,9 if all digits are different?
Answers
===========================================================
Explanation:
We have four values to pick from {1,3,5,9} and we want to form a three-digit number.
Kick one of those values out, let's say we kick out "9" at the end to get the subset {1,3,5}.
The sum of these remaining values is 1+3+5 = 9 which is a multiple of 3. Therefore three-digit numbers that have any order of 1,3,and 5 will be a multiple of 3.
Eg: 135/3 = 45 exactly.
There are 3*2*1 = 6 such numbers as shown at the very bottom of this solution post.
This is a permutation since the order matters.
Let A = 6 so we can use it later.
----------------
Go back to {1,3,5,9}
Now let's say we kicked "5" out this time.
We go from {1,3,5,9} to {1,3,9}
The digits sum to 1+3+9 = 13 which is not a multiple of 3
No matter how we arrange these digits, we won't get a multiple of 3.
Eg: 139/3 = 46.33 approximately
----------------
Let's go back to {1,3,5,9}. This time we'll kick out "3" from the group.
{1,3,5,9} shrinks to {1,5,9}
Add the values: 1+5+9 = 15 which is a multiple of 3.
Therefore, we get 6 more permutations (refer to the first section for similar steps). Let B = 6 so we can use it later.
Example: 159/3 = 53 exactly
-----------------
Return back to {1,3,5,9} once more. We have one final value to kick out.
Let's remove the "1" to end up with {3,5,9}
Add the values: 3+5+9 = 17 which isn't a multiple of 3, so we ignore this sub-case. It's similar to the 2nd section shown above.
-------------------
Each previous section had us remove exactly one value to have 3 digits leftover. This is a methodical way to guarantee we have looked through all possible cases.
The first case had us kick out 9 so that a permutation of {1,3,5} led to some multiple of 3. There were A = 6 cases for that section.
The third section had {1,5,9} which led to B = 6 more cases.
In total, there are A+B = 6+6 = 12 different three-digit numbers possible if we are only allowed to use {1,3,5,9} without repeats allowed. In other words, all three digits must be different.
-------------------
Check:
Here are the first 6 cases involving 1,3,5
number = 135number = 153number = 315number = 351number = 513number = 531Here are the other 6 cases involving 1,5,9
number = 159number = 195number = 519number = 591number = 915number = 951
Write an absolute value inequality to represent each situation.
A friend is planning a trip to Alaska. He purchased a coat that is recommended for outdoor temperatures from -15⁰ F to 45⁰F . Let t represent the temperature for which the coat is intended.
Answers
Answer: |t - 15| ≤ 30 ; -30 ≤ t - 15 ≤ 30
Step-by-step explanation:
To set up the equation, we have to find the center, and the tolerance, so that we can use formula "|x - c| ≤ t"
First, we can find the tolerance by adding both number, then dividing by 2 --> -15 + 45 = 30 --> 30/2 = 15, so we now know that the center is 15
Next, we can find the tolerance by finding the distance between the center and one of the number --> 15 - (-15) = 30, so we now know that the tolerance is 30
Now we can set up our equation,
center (c) = 15
tolerance (t) = 30
|t - 15| ≤ 30
Now that we have our equation, we can set up the inequality
|x - c| ≤ t = -t ≤ x - c ≤ t
so,
-30 ≤ t - 15 ≤ 30
Hope this helps!
(sorry it was so long)
Are polynomials closed under addition and subtraction?
Answers
Polynomials form a system like to that of integers hence they are closed under the operations of addition and subtraction.
Exponents of polynomials are whole numbers.
Hence the resultant exponents will be whole numbers , addition is closed for whole numbers. As a result, polynomials are closed under addition.
If an operation results in the production of another polynomial, the resulting polynomials will be closed.
The outcome of subtracting two polynomials is a polynomial. They are also closed under subtraction as a result.
The word polynomial is a Greek word. We can refer to a polynomial as having many terms because poly means many and nominal means terms. This article will teach us about polynomial expressions, polynomial types, polynomial degrees, and polynomial properties.
To learn more about polynomials
brainly.com/question/27287760
#SPJ4
Select the correct answer.
Find the quotient of
O A.
B.
O c.
(5+21) (6-4)
(2+1)
36-38
36 +38
68-54
D. 68 +5
and express it in the simplest form.
Reset
Next
Answers
The quotient of (5+21) (6-4) and (2+1) is 13/3, expressed in its simplest form
The quotient of two numbers is a way of expressing the ratio of their values. It is the result of dividing one number by the other, and can be written as a fraction or as a decimal.
The quotient of 4 and 8 is 0.5, since 4 divided by 8 is 0.5.
The quotient of (5+21) (6-4) and (2+1) can be expressed as follows:
First, we need to solve each parenthesis separately. The first parenthesis is (5+21), which equals 26. The second parenthesis is (6-4), which equals 2. Therefore, the quotient of (5+21) (6-4) is 26/2, which can be simplified to 13/1.
Now, we need to divide 26/2 by (2+1). The result is 13/3, which is the final quotient.
To know more about quotient here.
https://brainly.com/question/16134410
#SPJ4
what are the minimum and maximum numbers of elements in a heap of height h?
Answers
In a heap, the height is defined as the number of edges on the longest path from the root to a leaf node. The height of a heap with n elements is at most log₂(n+1).
To find the minimum and maximum numbers of elements in a heap of height h, we can use the formula:
The minimum number of elements in a heap of height h is 2^h (a complete binary tree of height h with the minimum number of nodes).
The maximum number of elements in a heap of height h is 2^(h+1) - 1 (a complete binary tree of height h with the maximum number of nodes).
Therefore, the minimum and maximum numbers of elements in a heap of height h are:
Minimum: 2^h
Maximum: 2^(h+1) - 1
Note that not all values of h are valid heap heights. A heap must be a complete binary tree, so its height can only take on values that satisfy the formula: \(h < = log₂(n+1),\)where n is the number of elements in the heap.
Learn more about height here:
https://brainly.com/question/10726356
#SPJ11
For some strange reason, I have a bunch of nickels and quarters in my pocket. If I have
$6.65 in my pocket and the number of quarters is 13 less than twice the number of nickels,
how many of each coins do I have jingling in my pocket?
Answers
The number of Nickels is 18 and the Number of Quarter is 23
Compuitng Unkown Value:To find an unknown value in the given problem we use Linear Equation. In this to represent the unknown number use variables and we will form a Linear equation according to the given question. Here we need to solve the equation for the required value.
Here we have
There are some nickels and quarters in a pocket
Since we don't know the number of nickels and quarters
Let x be the number of nickels and y be the number of quarters
As we know 1 Nickel = 5 cents and 1 Quarter = 25 cents
=> The total amount in pocket = 5x + 25y -----(1)
Given that
The number of quarters is 13 less than twice the number of nickels,
=> y = 2x - 13 -----(2)
Substitute (2) in (1)
=> 5x + 25(2x - 13)
=> 5x + 50x - 325
=> 55x - 325
Given that the total amount in pocket = $ 6.65 = 665 cents
=> 55x - 325 = 665 cents
=> 55x = 990
=> x = 18
From (2)
=> y = 2(18) - 13
=> y = 36 - 13
=> y = 23
Therefore,
The number of Nickels is 18 and the Number of Quarter is 23
Learn more about Linear Equations problems at
https://brainly.com/question/28792732
#SPJ9
What is the probability of 2 people not sharing the same birthday out of 365?
Answers
There is a 99.73% chance that two people selected at random will not share the same birthday out of 365.
The probability of two people not sharing the same birthday out of 365 can be calculated using the formula:P(A) = n(A)/n(S)where n(A) is the number of favorable outcomes and n(S) is the total number of possible outcomes.
In this case, the favorable outcome is that two people do not share the same birthday, and the total number of possible outcomes is 365 × 365 since each person can have a birthday on any of the 365 days.
To find the number of favorable outcomes, we need to subtract the number of ways two people can have the same birthday from the total number of possible outcomes.
The number of ways two people can have the same birthday is simply 365 since there are 365 possible birthdays.
Therefore, the number of favorable outcomes is:365 × 364
The total number of possible outcomes is:
365 × 365
Thus,the probability of two people not sharing the same birthday out of 365 is:P(A) = (365 × 364)/(365 × 365)P(A) ≈ 0.9973
To learn more about : random
https://brainly.com/question/251701
#SPJ8
h(x)=3x−3, find h(-1)
Answers
Answer:
h(-1) = - 6
Step-by-step explanation:
To solve, simply sub -1 into the equation for x:
h(x) = 3x-3
h(-1) = 3(-1) - 3 = - 3 - 3 = - 6
The circumference of a circle is 17pi ft. what is the area, in square feet?
Answers
Answer:
72.25 pi ft^2
Step-by-step explanation:
The circumference of a circle is
C = 2*pi*r
17 pi = 2*pi*r
Divide each side by 2pi
17 pi / 2pi = 2 pi r / 2pi
17/2 = r
We want to find the area
A = pi r^2
A = pi ( 17/2) ^2
A =289/4 pi ft^2
A = 72.25 pi ft^2
please help me find the answer
Answers
Answer: x=2
Step-by-step explanation:
What you do is you plug the y equation on top and you substitute it in for the y on the equation below. You have -3x=-2(-5x+8)-10
help me with this please
Answers
Answer:
Here is the sample space:
(1, 1), (1, 2) (1, 3), (2, 1), (2, 2), (2, 3), (3, 1),
(3, 2), (3, 3)
At 5pm, you count 26,300 alien bacteria in your petri dish. If the growth rate is 2. 7%, how many bacteria will there be at midnight?.
Answers
The count increase in the alien bacteria at the midnight is 31692.
Here we have to find the count of alien bacteria at midnight.
Data given:
Count of alien bacteria at 5 pm = 26,300
Percentage increase in bacteria per hour = 2.7%
increase = 1 + 2.7/100
= 102.7
time = 12 - 5 = 7
The count of alien bacteria at midnight = 26,300 ×( 1.207 \()^{7}\)
= 31692
Therefore the alien bacteria at midnight is 31692.
To know more about the percentage refer to the link given below:
https://brainly.com/question/24877689
#SPJ4
If you want to construct a circle that touched each of the corners of a triangle, what should you construct?
Answers
Answer:
Perpendicular bisectors.
Step-by-step explanation:
This is called a circumscribed circle.
First you construct the perpendicular bisector of one side, then repeat with a second side. Where these lines cross is the center of the circle.
a class consists of 10 juniors and 30 seniors. if one student is randomly selected from the class, what is the probability of selecting a junior?
Answers
If the class consists of 10 juniors and 30 seniors, then the probability that a randomly selected student from the class is junior is 0.25.
There are 10 juniors and 30 seniors in the class,
So, the total number of students in the class is = 10 + 30 = 40.
The probability of randomly selecting a junior is = the number of juniors divided by the total number of students;
⇒ Probability of selecting a junior = (number of juniors)/(total number of students);
= 10 / 40
= 1/4
= 0.25
Therefore, the probability of selecting a junior is 0.25 or 25%.
Learn more about Probability here
https://brainly.com/question/29469841
#SPJ4
Find the equation of an ellipse satisfying the given conditions. Foci: (-2,0) and (2, 0); length of major axis: 12 Write an equation for the hyperbola with center at (3. - 6), focus at (6-6), and vertex at (5.-6). An equation for the hyperbola is (Simplify your answer. Type your answer in standard form. Use integers or fractions for any numbers in the
Answers
The equation of the hyperbola is:(x - 3)^2/4 - (y + 6)^2/5 = 1To find the equation of an ellipse and a hyperbola, we need to use the standard forms for these curves.
1. Equation of an Ellipse:
The standard form of an ellipse centered at the origin is given by:
x^2/a^2 + y^2/b^2 = 1
Given:
Foci: (-2, 0) and (2, 0)
Length of major axis: 12
The distance between the foci is 2c = 4, where c is the distance from the center to each focus.
So, c = 2.
The length of the major axis is 2a = 12, where a is the semi-major axis.
So, a = 6.
The equation of the ellipse becomes:
x^2/6^2 + y^2/b^2 = 1
To find b, we can use the relationship between a, b, and c:
b^2 = a^2 - c^2
b^2 = 6^2 - 2^2
b^2 = 36 - 4
b^2 = 32
Therefore, the equation of the ellipse is:
x^2/36 + y^2/32 = 1
2. Equation of a Hyperbola:
The standard form of a hyperbola with center (h, k) is given by:
(x - h)^2/a^2 - (y - k)^2/b^2 = 1
Given:
Center: (3, -6)
Focus: (6, -6)
Vertex: (5, -6)
The distance between the center and focus is c, where c is the distance from the center to each focus.
So, c = 3.
The distance between the center and vertex is a, where a is the distance from the center to each vertex.
So, a = 2.
The equation of the hyperbola becomes:
(x - 3)^2/2^2 - (y + 6)^2/b^2 = 1
To find b, we can use the relationship between a, b, and c:
c^2 = a^2 + b^2
3^2 = 2^2 + b^2
9 = 4 + b^2
b^2 = 9 - 4
b^2 = 5
Therefore, the equation of the hyperbola is:
(x - 3)^2/4 - (y + 6)^2/5 = 1
learn more about equation here: brainly.com/question/29657983
#SPJ11
differences between two samples are more likely to be statistically significant if the samples are and the standard deviations of the samples are .
Answers
The differences between two samples are more likely to be statistically significant if the samples are and the standard deviations of the samples are: large and the standard deviations of the samples are small.
What is statistical significance?Statistical significance can be used to determine whether a result is more likely the consequence of chance or an important element.Significant results simply imply that you can be sure they are true rather than that you were fortunate (or unfortunate) in the sample you used.Now,
It can be presumed that the test mentioned is the t-test since it uses two samples. A t-t-value, test's which it generates, is what determines its statistical significance. The likelihood that a difference is statistically significant increases with increasing t-value. By dividing the mean difference between two samples by the square root of the sum of the variances of each sample, then by the size of each sample, one may determine the t-value.The likelihood that the difference between two means is statistically significant therefore increases if:a significant mean difference;the samples are substantial;The samples' standard deviations are lower.Hence, The differences between two samples are more likely to be statistically significant if the samples are and the standard deviations of the samples are: large and the standard deviations of the samples are small.
To learn more about statistical significance, refer to the link: brainly.com/question/15848236
#SPJ4