Answer:
78 degree is the correct answer.
can someone answer this question really quick
Review the following problem and answer the questions that follow.
Problem: 8 + 3(2a - 4)
Work: 11(2a - 4)
Answer: 22a - 44
1) What mistake was made? Be specific.
2) What suggestion would you give me to avoid making that same mistake in the future?
Answer:
1) The mistake is not following order of operations, the multiplication between the 3 and (2a - 4) in the brackets is a priority. You should of added the 8 after you resolve the bracket.
2) We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
A population of mice has a growth factor of 3.
after one month, there are 36 mine. after 2
months, there are 108 mice.
B. Write an equation for the population after any number of months. Explain what information the numbers and variables in your equation represent.
The equation representing the data is N=12×3ⁿ Where n is the number of months.
What are functions?Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given here, A population of mice has a growth factor of 3. after one month, there are 36 mines. after 2 months, there are 108 mice.
let n be the number of months and N be the number of mice after n months
thus , N=36
⇒ 36=12×3¹
N=108
⇒108=12×3²
Therefore for any n the Number of mice is N=12×3ⁿ
Hence, The equation representing the data is N=12×3ⁿ Where n is the number of months.
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ANSWER FOR BRAINLIST AND HEARTS 30 POINTS!
Three segments are chosen at random from six segments having lengths of 2, 3, 5, 6, 7 and 10 units. What is the probability that the three segments chosen could form a triangle
The probability that three segments were chosen could form a triangle [tex]\frac{7}{20}[/tex] .
Using the probability concept, it is found that there is a probability that the three segments selected could form a triangle.
The number of desired outcomes divided by the number of total outcomes is called probability.
In this problem, the order in which the sides of the segments are selected is not important, hence, the combination formula is used to find the number of total outcomes.
Combination formula:
[tex]C_{n.x}[/tex] is the number of different combinations of x objects from the set of n elements, given by:
[tex]C_{n,x} = \frac{n !}{x ! ( n - x) !}[/tex]
Total outcomes:
Three segments from a set of six lengths, hence:
[tex]C_{6,3} = \frac{6 !}{3 ! 3 !} = 20[/tex]
Desired outcomes:
Segments can make a triangle if the sum of the lengths of the smaller segments is greater than the length of the larger segment.Hence, the possible options are: (2,5,6), (3,5,6), (3,5,7), (5,6,7), (5,6,10), (5,7,10), (6,7,10).There are 7 desired outcomes, hence D = 7Then :
p = [tex]\frac{D}{T} = \frac{7}{20}[/tex]
[tex]\frac{7}{20}[/tex] -the probability that the three segments selected could form a triangle.
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The recursive definition of a sequence is given.
a1 = 2, an an-1 + 2
-
Write the explicit definition. Your answer must be simplified.
Explicit Definition of an Arithmetic Sequence
an = a₁ + (n-1) d
To solve this we must be knowing each and every concept related to arithmetic sequence and its calculations. Therefore, arithmetic sequence can be defined as below.
What is arithmetic sequence?An arithmetic sequence is a collection of integers that follow a specific pattern. It's an arithmetic sequence if you pick any number inside the sequence and subtract it from the preceding one, and the outcome remains the same or constant.
an = a₁ + (n-1) d
The common difference, indicated by the letter d, is the constant difference between all pairs of subsequent or succeeding integers in a series. To transition from one phrase to another, we employ the common difference.
Therefore, arithmetic sequence can be defined as above.
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please answer fast i need this hw done
From the give expressions, the rational one are numbers 1 and 3 and the irrational ones are numbers 2 and 4 respectively
What is rational and irrational numbers?Rational numbers are numbers that can be expressed as a ratio or whole number while the irrational numbers cannot be expressed as ratios or whole numbers
The given expressions are
1) 2√9 + 8
= 2*3+8
6+8
=14 This a Rational number because it shows a whole number
2) 2√7 +8
This is irrational hence it cannot be expressed to lowest term
3) 3√18√2
= 3*√18*2
=3*√36
=3*6
=1 8
This is rational because it can be expressed to its lowers term and forms a whole number
4) 2√15√3
= 2*√45
= 2*√9√3
=2*3*√3
=6√3
This is irrational because it does not form a whole number
In conclusion, the rational numbers show whole numbers while the irrational numbers show none whole numbers
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Please Help!
What is the volume of a right circular cylinder with a diameter of 8 meters and a height of 12 meters. Leave the answer in terms of π. 96π m3 192π m3 603π m3 768π m3
if the diameter is 8 meters, then its radius is half that, or 4 meters.
[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=4\\ h=12 \end{cases}\implies V=\pi (4)^2(12)\implies V=192\pi[/tex]
The volume of a right circular cylinder with a diameter of 8 meters and a height of 12 meters is,
⇒ V = 96π m³
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Diameter of a right circular cylinder = 8 meters
And, Height of a right circular cylinder = 12 meters
Now, We know that;
The volume of a right circular cylinder is,
⇒ V = πr²h
Here, Diameter of a right circular cylinder = 8 meters
Radius = 8 / 2 = 4 m
Thus, We get;
⇒ V = πr²h
⇒ V = π × 4² × 12
⇒ V = 96π m³
Thus, The volume of a right circular cylinder with a diameter of 8 meters and a height of 12 meters is,
⇒ V = 96π m³
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please give a step by step explanation
The radius of the sphere, given the volume of the sphere and the formula for the volume, is 15. 64 mm
How to find the radius of the sphere ?We are told that to find the volume of a sphere, we can use the formula :
Volume of sphere = 4 / 3 x π x r³
We are then given that volume in this instance to be 5, 100π mm³ which means that we can equate the formula to this volume to be able to find the radius.
We can therefore find the radius to be:
5, 100 π = 4 / 3 x π x r³
r ³ = 5, 100 π / ( 4 / 3 x π )
r ³ = 5, 100 / ( 4 / 3 )
r ³ = 3, 825
r = ∛ 3, 825
r = 15. 64 mm
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AB formed by (-6, 2) and (-2, 4) CD formed by (-1, 11) and (5, -7)
Determine if segments AB and CD are parallel, perpendicular, or neither
Help with geometry similar triangles.
=====================================================
Explanation:
The segment (4x-9) units long is the midsegment of the triangle. This is because each endpoint is a midpoint of the slanted sides.
One property of midsegments is that it is half as long as the side parallel to it.
The (4x-9) side is half as long compared to the 6x side.
Rephrased another way: The 6x is twice as long compared to (4x-9)
We'll use this to set up the equation to solve for x.
6x = 2*(4x-9)
6x = 8x-18
6x-8x = -18
-2x = -18
x = -18/(-2)
x = 9 is the final answer
HELP NOW
Which unit rate corresponds to the proportional relationship shown in the graph?
Drag and drop the answer into the box to match the graph with its unit rate.
The unit rate that corresponds to the proportional relationship shown in the graph is: 4/3 cm/s.
What is the Unit Rate of a Proportional Relationship?A proportional relationship is a mathematical relationship in which two variables are directly proportional to each other, meaning that the ratio of their values is always constant. The unit rate of a proportional relationship is the constant of proportionality, also known as the coefficient of proportionality. It is a number that relates the two variables in the relationship and it is also the slope of the line in the graph representation of the relationship.
For example, in a proportional relationship of y = kx, where y and x are the two variables and k is the constant of proportionality, the unit rate is k. It tells us how much y changes for each unit change in x. For example, if k=2, then for each increase of 1 in x, y will increase by 2.
Using a point on the graph, (12, 16):
Unit rate = y/x = 16/12 = 4/3 cm/s.
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Which word is associated with multiplication when computing probabilities? Choose the correct answer below Disjoint O And O Not
When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.
According to me , independent is the word which is associated with multiplication when computing probabilities . Because when the events are independent then we multiply the probabilities .
According to the multiplication rule of probability, the probability of occurrence of both the events A and B is equal to the product of the probability of B occurring and the conditional probability that event A occurring given that event B occurs.
The probability of the union of two events is equal to the sum of individual probabilities. The union of two set contains all the elements of previous sets. The union is denoted by ∪. The equation for the students earnings will be expressed as P(A∪B). The occurrence of event A changes the probability of B then the events are dependent. If the probability of two events happening together is zero then the events are mutually exclusive.
Therefore,
When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.
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Find the value of X.
Answer:
you have given wrong answer bro\sis correct it
Translate into an algebraic expression: the product of the sum of a number and it’s reciprocal and the opposite of the cube of the number
If you purchase a reciprocal membership from the two museums, you can visit both at no charge.
What is a reciprocal of an algebraic expression?Mathematical expressions with variables, constants, coefficients, and algebraic operations are called algebraic expressions.
As a similar matter, the adjective reciprocal can also be used to denote something that is opposite or inversely connected (which is just about the opposite of what reciprocal is generally used to mean). A reciprocal membership is available from the two museums, allowing you access to both for free.
This fraction, turned upside down, is the reciprocal of a number. The reciprocal, then, has the top number, or numerator, on top and the bottom number, or denominator, of the original fraction on the bottom. Due to the fact that 1/6 is the inverse of 6/1 and 6 = 6/1, the reciprocal of 6 is 1/6.
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For which of the following values of p is the value of P(1 − p) maximized? a. p = .50 b. p = .99 c. p = .90 d. p = 1.0
For 0.50 the value of P(1 − p) maximized.
The chance of an event happening given that another event has already occurred (via assumption, supposition, statement, or evidence) is known as conditional probability in the field of probability theory. [1] This particular approach depends on event B happening in some way connected to another event A. In this case, a conditional probability analysis with respect to event B is possible.
The probability of A under the condition B is typically expressed as P(A|B)[2] or PB if the event of interest is A and the event B is known to have occurred or is assumed to have done so (A). This can alternatively be thought of as the percentage of possibility that B and A will collide.
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10% of 240
dis hawddd!!!
find an equation of the tangent line to the curve y=x^4+1 that is parallel to the line 32x-y=15
An equation that is parallel to the line 32x-y=15 is y = 32x - 47.
y' = 4x³
m = slope of tangent line =slope of the given line = 32
y' = 32 at the tangent point
4x³ = 32
x = 2
y = 2⁴+ 1 = 17
The tangent point is (2,17)
Tangent line:
y = 32x + b
17 = 32(2) + b
b = -47
y = 32x - 47
The straight line that "just touches" the curve at a particular location is known as the tangent line (or simply tangent) to a plane curve in geometry. It was described by Leibniz as the path connecting two points on a curve that are infinitely near together.
A straight line has a slope of f'(c), where f' is the derivative of f, and is said to be tangent to a curve at a point x = c if it passes through the point (c, f(c)) on the curve. Space curves and curves in n-dimensional Euclidean space have a similar definition.
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Hot Spot is a California lottery game. Players pick 1 to 10 Spots (sets of numbers, each from 1 to 80) that they want to play per draw. For example, if you select a 4 Spot, you play four numbers. The lottery draws 20 numbers, each from 1 to 80. Your prize is based on how many of the numbers you picked 27% match one of those selected by the lottery. The odds of winning depend on the number of Spots you choose to play. For example, the overall odds of winning some prize in 4 Spot is approximately 0.256.
You decide to play the 4 Spot game and buy 5 tickets. Let X be the number of tickets that win some prize. 6452 Location 18277 of 68468 32°F Mostly cloudy 6:10 3/14 the location of the mean on your histogram.
a. Xhas a binomial distribution. What are n and p?
b. What are the possible values that x can take?
c, Find the probability of each value of X. Draw a probability histogram for the distribution of X. (See Figure 14.2 on page 331 for an example of a probability histogram.)
d. What are the mean and standard deviation of this distribution? Mark the location of the mean on your histogram
Based on the information provided, a) if X has a binomial distribution, n = 5 and p = 0.256. b) X can take values in the range of 0 to 5. c) The values of P(x) for x = 0, 1, 2, 3, 4 , 5 are 0.228, 0.392, 0.269, 0.093, 0.016, and 0.011 respectively. d) mean = 1.28 and standard deviation = 0.995.
a) If X has a binomial distribution n represents the number of tickets bought which is 5 and p represents the probability of winning a prize after taking a single ticket which is 0.256.
b) X can take values in the range of 0 to 5, which indicates the possible number of won tickets. Hence, x = 0, 1, 2, 3, 4, 5. c)
Using the binomial distribution formula, P (x) = nCx*p^x*(1 – p)^(n-x). Hence,
P(0) = 5C0*(0.256)^0*(1 – 0.256)^)(5-0) = 0.228
P(1) = 5C1*(0.256)^1*(1 – 0.256)^)(5-1) = 0.392
P(2) = 5C2*(0.256)^2*(1 – 0.256)^)(5-2) = 0.269
P(3) = 5C3*(0.256)^3*(1 – 0.256)^)(5-3) = 0.093
P(4) = 5C4*(0.256)^4*(1 – 0.256)^)(5-4) = 0.016
P(5) = 5C5*(0.256)^5*(1 – 0.256)^)(5-5) = 0.011
d) The mean and standard deviation of the distribution is given by:
mean = n*p = 5*0.256 = 1.28
standard deviation = √np(1 – p) = √5(0.256)(1 – 0.256) = 0.995
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The question is in the image i need the answer at least 2 mins after sending the question
Answer:
Slope= 3/4
y intercept= (0,-3)
Step-by-step explanation:
hope it helps :)
John types at a rate of 16 words per minute. How many words does he type in 4 minutes?
Answer:
64 words-------------------------------
John types at a rate of 16 words per minute.
With the stable rate, in 4 minutes he types:
16 * 4 = 64 wordsHow do you dilate a line centered at the origin?
You can dilate a line centered at the origin by using its coordinates of origin.
Dilating a line centered at the origin is a useful tool in geometry. To do this, you need to first identify the coordinates of the origin, or (0,0). Then, you need to identify the equation of the line.
Once you have these two points, you can calculate the coordinates of the line when you multiply the equation by a certain number, which is known as the scale factor.
This scale factor will determine the amount of dilation that needs to be applied to the line. Finally, you can plot the new points on a graph and draw the line to see the new shape.
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Jamal used a ride-share service that
charged $2.50 per mile. He also paid an
additional $5 in tip. If he paid $25 total, how
many miles did he travel?
Answer: 8 Miles is the answer
Step-by-step explanation: this is because if you pay a $5 tip that leaves you at $20 then you divide 20 by 2.50 which equals 8
8 is the answer
which relation is a function ?
Graph A represents the relation as a function. Then the correct option is A.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
If the number of values of the dependent variables is one for a single value of the independent. Then the relation is known as function.
If the number of values of the dependent variables is more than one for a single value of the independent. Then the relation is not function.
In graph A, for each value of 'x' the number of the value 'y' is one. Then graph A represents the relation as a function.
Then the correct option is A.
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The graph of a line passes through the points (0, 8) and (4, 0). What is the equation
of the line?
Answer: y= -2x+8
Step-by-step explanation:
q12 ANSWER FOR 50 POINTS AND BRAINLIST
Initial Me charges $8 per T-shirt printed.
Monogram Mania charges less per T-shirt printed than Initial Me charges.
How determine which statements are true about Initial Me and Monogram Mania?Let's examine the linear graph:
The two companies will cost the same if 10 T-shirts are purchased and the cost is 130.
The initial fee charged by Initial Me is $50.
The initial fee charged by Monogram Mania is $80.
Note: The y-intercept of the graph is the initial fee
The slope of the lines will give the cost per T-shirts (unit rate)
Initial Me: slope = (130-50)/(10-0) = 80/10 = $8
Monogram Mania: slope = (130-80)/(10-0) = 50/10 = $5
Thus, Initial Me charges $8 per T-shirt printed while Monogram Mania charges $5 per T-shirt printed.
This implies Monogram Mania charges less per T-shirt printed than Initial Me charges.
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Evaluate the iterated integral. The first integral is 0 to 2 and the second integral is 2 to 3. xy^2 dx dy. Please show step by step with detail. Thanks
\int \int xy^2 dx dy
5x+ 15y = 30 i suck at math
Answer:
x=6−3y
Step-by-step explanation:
5(x+3y)=30
x+3y=6
x=6−3y
Have great day♡
Answer: x = 6 - 3y
Step-by-step explanation: 5x+15y=30
Subtract 15y from both sides.
5x=30−15y
Divide both sides by 5.
5x/5 = 30-15y/5
Dividing by 5 undoes the multiplication by 5.
x = 30-15y/5
Divide 30−15y by 5.
x=6−3y
What is the measure of each of the angle of a rectangle class 8?
The measure of each of the angle of a rectangle is 90 degrees.
A rectangle is a four-sided shape with four right angles. Each angle measures 90 degrees, meaning that the sum of the angles of a rectangle is 360 degrees. This is true regardless of the size or proportions of the rectangle.
Each angle of a rectangle can also be referred to as a right angle.
A rectangle is a four-sided shape with four right angles, making each of its angles 90 degrees. This is the measure of each of the angles of a rectangle - 90 degrees.
The four angles fit together perfectly to form a rectangle, making it a very useful shape for construction and design.
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Which point is a solution to y<-2+3?
Answer:
(-1,-1)
Step-by-step explanation:
First thing to consider: the expression is y<-2+3 not y<-2x+3
When plotting this on a graph a possible answer is (-1,-1)
Heidi and Dan signed up for a cell phone plan with a brand new company called Bolt.
The price for 30 gigabytes of data and unlimited talk and text is $55 — Each line costs $19 and the taxes are $9.50 per month.
Three months later, they decide that they would like to update their contract to an unlimited data plan instead.
The unlimited data plan includes unlimited talk, text and data, and costs $85. The new taxes are $12.49 per month.
How much will their bill increase when they make this switch?
The increase in their bill when they switch from their current phone plan to the unlimited plan will be $13.99.
What is the cost of the current phone plan?The cost of the current phone plan is calculated as follows:
The cost of the current phone plan = $55 + $19 + $9.50
The cost of the current phone plan = $83.50
The cost of the unlimited plan will be:
The cost of the new unlimited plan = $85 + $12.49
The cost of the new unlimited plan = $97.49
The increase in their bill will be:
The increase in their bill = $97.49 - $83.50
The increase in their bill = $13.99
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