Answer:
Step-by-step explanation:
-1 divided by x
1 - x
X - 1
Please help me, find the circumference of the circle use 3.14
Find the value of b.
Image is below please explain and give correct answer !!
The value of b is degree 104.we can find by using vertically opposite theorem.
What is vertically opposite in maths?Vertical Angles are when two lines intersect each other then the opposite angles formed due to intersection are called vertical angles or vertically opposite angles. A pair of vertically opposite angles are always equal to each other.The point where they meet is called a vertex.
How do we identify opposite angles?Vertical opposite angles that are opposite each other when two lines cross are also known as vertical angles because the two angles share the same corner. Opposite angles are also congruent angles meaning they are equal or have the same measurement.
Now we have
(b-308)=(-2b+4)
b+2b=4+308
3b=312
b=104
Hence the value of b is 104 degree.
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How do you solve equivalent questions?
One of the way by which we can solve equivalent questions is by multiplying both the numerator and the denominator by a same number .
The number chosen for the purpose should be same and should be a non zero number. Example, if we want to find the equivalent of 2/8 then we can simply multiply 2 and 8 which are the numerator and the denominator by a same number say 3 .
Then we will get the result as 2 x 3 /8 x 3 = 6 / 24 .
The result will be a number equivalent to the given fraction. This can be checked by reducing the result to its lowest terms.
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Find the measure of MN
In the given the diagram of a circle, the measure of angle MON is 60°.
What is a circle?A circle is a two-dimensional shape created by a collection of points that are spaced uniformly or uniformly apart from a fixed point (centre) on the plane. The radius of a circle is the fixed distance between each point and the fixed point, which together make up the circle's origin or centre.
All angles add upto 360°
100 + 140 + ∠MOP = 360
∠MOP = 120°
Draw an imaginary straight line extending MO, making MOM'
∠QOM' = 180 - 140
= 40 = ∠MOQ' (vertically opposite)
Draw an imaginary straight line extending NO, making NON'
Draw an imaginary straight line extending PO, making POP'
P'OQ = 180 - 100
= 80 = ∠Q'OP (vertically opposite)
Draw an imaginary straight line extending QO, making QOQ'
P'OM = 60° = M'OP (vertically opposite)
Now, ∠N'OQ = 180 - 60 - 2(40)
= 20°
Then, ∠P'ON' = 80 - 20
= 60
And ∠MON = 40 + 20
= 60°
Hence, In the given the diagram of a circle, the measure of angle MON is 60°.
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Which of the following ordered pairs are in the solution set of 0.5x - y>2? (Is it solved for y)
Answer:
Any ordered pair #(x, y)# that satisfies #x>=6+4y#Or, in set notation, #Solution={(x, y)|x>=6+4y}#Explanation:Now, there is a little problem here - it is that you never specified which ordered pair needs to be evaluated to satisfy the condition #0.5x-2y>=3# Allow me to explain.Below is a graph of the inequality of your question:graph{0.5x-2y>=3 [-10, 10, -5, 5]}To answer which point is in the solution set, well the answer is that any point that is on or within the shaded area is part of the solution set.
Step-by-step explanation:
Eric went for a drive in his new car. He drove for 182.4 miles at a speed for 57 miles per hour. For how many hours did he drive?
Answer:
3.2 hours
Step-by-step explanation:
182.4÷57=3.2
time divided by speed equals time
7. You just landed back in Michigan at the airport, but cannot remember where you
parked your car. There are 8 letter sections (A, B, C, D, E, F, G, H) and each
section is labeled 1-22 in the lot. Find the probability that you correctly guess
the letter section and then guess the correct number section where your car is
located. Write your answer as a percentage rounded to the hundredth.
The probability that you correctly guess the letter section and then guess the correct number section where your car is located is 0.01.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Total possible outcomes.
= 8 x 22
= 176
Now,
Probability of guessing the correct letter.
= [tex]^8C_1[/tex] / 176
Probability of guessing the correct section.
= [tex]^{22}C_1[/tex] / 176
The probability that you correctly guess the letter section and then guess the correct number section.
= [tex]^8C_1 \times ^{22}C_1[/tex] / 176 x 176
= 8 x 22 / 176 x 176
= 1 / 176
= 0 .005
= 0.01
Thus,
The probability that you correctly guess where your car is located is 0.01.
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O. Test Practice Alaska has the longest coastline in the United States. Traveling at 62 miles per hour, how many hours would it take to travel along the Pacific Coast? A 17 hours B 89 hours 90 hours D 100 hours Alaska Coastline Coast Pacific Arctic Miles 5,580 1,060
Answer:
17
Step-by-step explanation:
If you are doing a linear regression, what is the slope of the line predicted by the null hypothesis?
Therefore , the solution of the given problem of slope comes out to be the slope won't be equal to zero if the independent variable X and the dependent variable Y have a substantial linear connection.
Define slope.
The slope-intercept formulation of an equation is used to represent each time the formula of a line is stated as y = mx + b. The line slope is represented by the m. Additionally, b is the b in the y-intercepting point (0, b). For instance, the y-intercept is at (0, 7) and the slope is 3 in
the formula y = 3x - 7.
Here,
The slope won't be equal to zero if the independent variable X and the dependent variable Y have a substantial linear connection.
:
: B not equal to 0
The slope is equal to zero according to the null hypothesis, however the slope is not equal to zero according to the alternative hypothesis.
The alternative hypothesis therefore asserts that the slope is not equal to zero, whereas the null hypothesis asserts that the slope is equal to zero.
Therefore , the solution of the given problem of slope comes out to be the slope won't be equal to zero if the independent variable X and the dependent variable Y have a substantial linear connection.
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(PLS HELP QUICKLY!) (ONLY HAVE 10 MINUTES!!! PLS HELP)
A fundraiser is being held to raise money for a new school playground. Of every $20 raised, $16 will be spent on playground equipment. If the goal of the fundraiser is $320.00 for playground equipment, how much money will it need to raise?
Answer:
$400
Step-by-step explanation:
If $16 will be spent, then you should do 320/16=20 to find out how many times people are donating. Since that answer what 20, they need people to give 20*20=400 oo be able to raise enough money fOr playground equipment
What is another name for angle 1?
∠JNL
∠N
∠MNK
∠NLJ
Answer: JNL
Step-by-step explanation: We can give angle 1 another name by using 3 letters which include the letter of the vertex point in the middle, and two other letters of the two rays that meet at the vertex point.
Is (1,-2) a solution to this system of equations?
20x+20y=-2
2x+5y=-8
YES OR NO
The point (1, -2) is not a solution to the system of equation, 20·x + 20·y = -2, 2·x + 5·y = -8, the correct option is NO, the solution is (2.5, -2.6)
What is a system of equations?A system of equations are two (or more) equations that have common variables.
The system of equation is presented as follows;
20·x + 20·y = -2
2·x + 5·y = -8
The specified possible solution of the equation is; (1, -2)
Making y the subject of each of the equations, and plugging in the value of x = 1, for the first equation, we get;
20·x + 20·y = -2
20·y = -2 - 20·x
y = (-2 - 20·x)/20
Therefore; y = (-2 - 20 × 1)/20 = -1.1
When x = 1, y = -1.1, therefore, the point (1, -2), is not a solution to the first equation, 20·x + 20·y = -2
Evaluating the second equation, we get;
2·x + 5·y = -8
5·y = -8 - 2·x
y = (-8 - 2·x)/5
Plugging in x = 1, we get;
y = (-8 - 2 × 1)/5 = -2
When x = 1, y = -2, therefore, the point (1, -2), is a point on the graph of the second equation, 2·x + 5·y = -8, but it is not a solution to the system of equation
The solution to the system of equation, 20·x + 20·y = -2, 2·x + 5·y = -8, can by found by equating both expressions for y as follows;
y = (-2 - 20·x)/20 and y = (-8 - 2·x)/5
Therefore; (-2 - 20·x)/20 = (-8 - 2·x)/5
-10 - 100·x = -160 - 40·x
60·x = 150
x = 150 ÷ 60 = 2.5
x = 2.5
y = (-2 - 20 × 2.5)/20 = -2.6
y = -2.6
The correct option is therefore, no, the solution to the system of equation is; (2.5, -2.6)Learn more about systems of linear equations here: https://brainly.com/question/11867840
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Give 2 numercial expressions that can be compared without calculating the values. Explain.
The numercial expressions that can be compared without calculating the values include:
3x^2 + 4x - 5 > 2x^2 + x - 3
2/x < 4/x
How to illustrate the expressionIn 3x^2 + 4x - 5 > 2x^2 + x - 3. This expression can be compared without calculating the values because it is a comparison of polynomials of the same degree (both are quadratics). The degree of a polynomial (in this case 2) is the highest power of the variable in the expression. Since the degree is the same, we can directly compare the coefficients of the highest degree term (x^2) and the second highest degree term (x) without calculating the values. In this case, 3x^2 > 2x^2 and 4x > x, therefore the polynomial on the left side is greater than the polynomial on the right side.
For 2/x < 4/x, this expression can be compared without calculating the values because it is a comparison of two different fractions, both of which have a common denominator of x^2. Since the denominators are the same, we can directly compare the numerators. In this case, 2 < 4, therefore the fraction on the left side is less than the fraction on the right side.
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Which pairs of events are independent? Select all that apply.
Answer:the last one is right, because you cannot control when rain happens, or where at that matter.
Manish and Ravi are reading the same series of books. As of today, Manish has read a total of 544 pages. If he reads at the same pace, after 8 days he will read a total of 928 pages.
The total number of pages that Ravi has read is modeled by the equation y=51x+594, where x is the number of days after today, and y is the total number of pages read.
Who will finish the series first? Why?
Select the response that correctly answers both questions.
Responses
Ravi will finish first, because he has already read more than Manish as of today, and he reads more than Manish each day.
Ravi will finish first, because he has already read more than Manish as of today, and he reads more than Manish each day.
Ravi will finish first, because even though Manish has read more as of today, Ravi reads faster overall.
Ravi will finish first, because even though Manish has read more as of today, Ravi reads faster overall.
Manish, because even though Ravi has read more as of today, Manish reads faster overall.
Manish, because even though Ravi has read more as of today, Manish reads faster overall.
Manish will finish first because he has already read more than Ravi as of today, and he reads more than Ravi each day.
The person that will finish the series first is;
Ravi will finish first, because even though Manish has read more as of today, Ravi reads faster overall.
How to interpret Linear Equation Problems?The general equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Total pages manish has read as at today = 544 pages
He reads at the same pace and after 8 days he has read 928 pages. Thus, the equation that represents the number of pages that Manish has read is; 928 = 8m + 544
922 - 544 = 8m
m = 378/8
m = 47.25
Thus, his rate is 47.25 pages per day
The equation for Ravi is y = 51x + 594
This shows a rate of 51 pages per day
Thus, Ravi will finish first
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Which of the following is the graph of y=-4 square root x
Answer:
It would look like that I think
Step-by-step explanation:
Which description represents this equation? 7x-2=33
Answer:
Step-by-step explanation:
pull up in a monsta automobile gangsta
Answer:
7x = 33+2
7x = 35
x = 5
Step-by-step explanation:
A SIMPLE EQUATION
Help me on this question.
The value of y from the equation is y = 5
The measure of RS = 38
The measure of ST = 18
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , on the number line , the measures of the sides are
The measure of RS = 7y + 3 be equation (1)
The measure of ST = 2y + 8 be equation (2)
The measure of RT = 56
Now , from the line segment ,
RT = RS + ST be equation (3)
Substituting the values in the equation , we get
7y + 3 + 2y + 8 = 56
On simplifying the equation , we get
9y + 11 = 56
Subtracting 11 on both sides of the equation , we get
9y = 45
Divide by 9 on both sides of the equation , we get
y = 5
Substitute the value of y in equations (1) and equation (2) , we get
The measure of RS = 7 ( 5 ) + 3 = 38
The measure of ST = 2 ( 5 ) + 8 = 18
Hence , the equations are solved and the value of y = 5
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Drag each tile to the correct box. Arrange the steps in the correct order to solve this trigonometric equation3 sin 2 ( x )
For a trigonometric equation. Cos^2x=3sin^2x, the solution is mathematically given as x = π/6 + 2nπ.
What is trigonometry?Trigonometry is the study of angles and the angular connections of planar and three-dimensional shapes. Trigonometry is made up of trigonometric functions (also known as circle functions) such as cosecant, cosine, cotangent, secant, sine, and tangent.
What is the solution of the trigonometric equation?Generally, the equation for the trigonometric equation is mathematically given as:
Cos^2x=3sin^2x
Therefore
1 - sin^2(x) = 3 sin^2(x)
1/4 = sin^2(x)
Hence introducing \pi
x = arcsin(1/2) + 2nπ
x = π/6 + 2nπ
In conclusion,
x = π/6 + 2nπ
For a trigonometric equation. Cos^2x=3sin^2x, the solution is mathematically given as x = π/6 + 2nπ.
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1.) Each row of the grocery store parking lot has 10 parking spots of equal width. What is the width for each spot?
2.) How many space is given for each parking spot at the mall parking lot if each spot has an equal width?
3.) Which location gives the greatest space for each parking lot?
(Ik this is a lot but can someone help me please I’m so confused)
When there are 10 identically sized parking spaces in each row of the grocery store parking lot, the solution is 3.192 width.
what is equation ?The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal. Consider the equation 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the symbol "equal." The three main types of linear equations are the slope-intercept form, standard form, and point-slope form. An equals sign is a part of a mathematical expression referred to as an equation. A lot of equations include algebra. In math, algebra is employed when you don't know the precise amount to calculate.
given
The grocery store is 31.92 wide overall, with 10 equally wide parking spaces.
If you assume that the width of these 10 parking spaces is equal to the width of the grocery store as a whole, you will have:
10x=31.92
on both sides of the equation, multiply by 10.
10x/10 = 31.92/10
x = 3.192
When there are 10 identically sized parking spaces in each row of the grocery store parking lot, the solution is 3.192 width.
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Radicals help please
The simplified form of radical √18 . 3√5 = 9√10
What is radical?In mathematics, a radical expression is defined as any expression containing a radical (√) symbol. Many times it is used to determine the square root of a number. However, it can also be used to describe a cube root, a fourth root, or higher. When the radical symbol is used to denote any root other than a square root, there will be a superscript number in the 'V'-shaped part of the symbol.
For example, ³√(8) means to find the cube root of 8. If there is no superscript number, the radical expression is calling for the square root.
The term underneath the radical symbol is called the radicand.
Given radical
√18 . 3√5
⇒ √(9 × 2) . 3√5
⇒ 3√2 . 3√5
⇒ 9(√2.5)
⇒ 9√10
⇒ 28.46
Hence, The radical √18 . 3√5 can be simplified to 9√10 having value = 28.46
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Sarah ran 3,682 m yesterday on the track at her school. One time around the track is 263 m. Sarah wants to run 4,222 m today. Which number sentence can be used to calculate how many laps around the track Sarah should run today?
The total number of laps Sarah should run today is given by the equation A = 16 laps
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of laps be represented as A
Now , the equation will be
The total distance ran by Sarah yesterday = 3,682 m
The distance of one lap = 263 m
So , the number of laps ran by Sarah yesterday = total distance ran by Sarah yesterday / distance of one lap
Substituting the values in the equation , we get
The number of laps ran by Sarah yesterday = 3682 / 263
The number of laps ran by Sarah yesterday = 14 laps
Now ,
The distance Sarah wants to run today = 4,222 m
So , the number of laps Sarah should run today A = distance Sarah wants to run today / distance of one lap
Substituting the values in the equation , we get
The number of laps Sarah should run today A = 4,222 / 263
The number of laps Sarah should run today A = 16.05 laps
The number of laps Sarah should run today A = 16 laps
Therefore , the value of A is 16 laps
Hence , the number of laps is 16 laps
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Carlos bought two packages of rope, each containing 12 feet of
rope. He needs to cut pieces of rope that are each 20 inches in
length. What is the greatest number of pieces that he can cut
from these two packages of rope?
1 foot = 12 inches
Answer: 14 pieces.
Step-by-step explanation: 1 foot = 12 inches
12 feet of rope = 144 inches of rope
144 / 20 = 7.2 = 7 sections can be cut from each package.
The greatest number of pieces from 2 packages = 14 pieces
Answer
14 pieces
Step-by-step explanation:
First you need to convert the 24 feet into inches. Do this by multiplying 24 (feet) by 12 (inches) since 1 foot has 12 inches in it and you have 12 feet. This means he has 288 inches of rope. Then divide 288 by 20 since he wants to see how many 20 inch pieces he can cut. You should get 14.4 but since it asks for the greatest number of pieces you need to round it down to 14 since he wants full 20 inch pieces.
Find the unit rate of the constant of proportionality for the following: $9.80 for 5 pounds.
Showing your work would be appreciated, so if you could, that’d be great. But it’s not needed, if you don’t want to. :)
Thank you in advance to anyone who answers!
The unit rate of constant means that for every 1 pound, the output is 1.96 dollar.
What is proportionality?Proportionality is a relationship between two variables in which their ratio is always equal to a constant value. In mathematical terms, it can be expressed as y = kx, where y and x are the two variables, and k is the constant of proportionality.
What is rate?A rate is a measure of how one quantity changes in relation to another quantity. It is usually expressed as a ratio and has units of measurement, such as miles per hour, dollars per pound, etc. A unit rate is a rate in which the second quantity is one unit of measurement.
The unit rate of the constant of proportionality is found by dividing the change in y (output) by the change in x (input).
In this case:
$9.8/5$ = $1.96$, so the unit rate of the constant of proportionality is 1.96 pounds/dollar.
It means that for every 1 pound, the output is 1.96 dollar.
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If you flip a coin ten times, how many different sequences of heads and tails are possible? a. b. c. d.
The number of possible different sequences of heads and tails is 1024.
A list of numbers (or other components) that follow a specific pattern is called a sequence. An arithmetic progression is one of the common examples of sequence and series.
A sequence can be arranged in either ascending or descending order.
Each flip has two outcomes H or T, so in ten flips you can get a sequence like HTHHTHTTTH
The number of possible different sequences is simply 2*2*2*2*2*2*2*2*2*2 = 2^10 = 1024
Thus, The number of possible different sequences of heads and tails is 1024.
Complete question:
If you flip a coin ten times, how many different sequences of heads and tails are possible?
a. 2° = 512
b. 10 = 100
C. 102 = 1024
d. 210 = 1024
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The granola is selling for $2.88 and weighs 18 ounces. The
flaked cereal is selling for $4.32 and contains 24 ounces.
Which is the better buy? Show your thinking.
A family drives 4 1/4 miles in 1/10 of an
hour. How many miles will they drive
in 3/4 hour?
Therefore because of this, the answer to the speed problem is that a family can travel 31.875 miles in 3/4 of an hour.
Describe speed.Speed is a tempo that is determined by the distance an entity travels in a predetermined period of time. Numerous methods exist for measuring speed, including miles per hour, laps per minute, and meters per second. The measurements of speed, distance, and time are related. The relationship can be expressed in three different ways:
D = RT, R = DT, & T = DR.
Here,
We are given that
Distance drives by a family=4[tex]\frac{1}{4}[/tex] miles
Time = 1/10
We have to find the rate of speed in miles per hour.
The speed formula will be used to get the velocity in miles per hour.
Distance traveled in a given amount of time equals speed.
=> Speed = 17/4 * 10
=> Speed = 42.5
So, using the calculation, we arrive at 42.5 miles per hour.
The miles traveled in 3/4 miles are therefore:
Distance is calculated as speed times time,
therefore 42.5 * 3/4 would equal 31.875 miles in distance.
Because of this, the answer to the speed problem is that a family can travel 31.875 miles in 3/4 of an hour.
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Greg has 14 as many songs on his computer as Mark. Raj has 6 fewer than 60% of the songs that Mark has. Mark has 720 songs on his computer.
Using percentage and equations, Greg has 734 songs, Raj has 426 songs and Mark has 720 songs
What is PercentagePercentage is a way of expressing a number as a fraction of 100. It is often denoted using the percent symbol, "%". For example, 45% (read as "forty-five percent") is equal to 45/100, or 0.45. Percentages have no dimension, which it's why they are dimensionless number. for example 60% of a number, then it means 60 per cent of its whole.
In this problem, we can write an equations and solve to determine the number of songs Greg has on his computer.
Let;
x = number of songs Greg hasy = Number of songs Raj hasSince Mark has 720 songs in his computer;
x = 14 + 720
x = 734
Greg has 734 songs
We can calculate the number of songs Raj has by;
y = 60%(720) - 6
y = [(0.6) * 720] - 6
y = 426
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Music, in 2001, full-length cassettes represented 3. 4% of total music sales. Between 2001 and 2006, the percent decreased by about 0. 5% per year.
a. Write an equation to find the percent P of recorded music sold as full-length cassettes for any year x between 2001 and 2006
b. Find the percent of recorded music sold as full-length cassettes in 2004
a) An equation to find the percent P of recorded music sold as full-length cassettes for any year x between 2001 and 2006 : y = -0.5x + 3.4
b) The percent of recorded music sold as full-length cassettes in 2004 = 1.9%
As, between 2001 and 2006, the percent of recorded music sold was decreased by about 0. 5% per year.
This means, the slope m = -0.5
In 2001, full-length cassettes represented 3. 4% of total music sales.
This means the y-intercept would be c = 3.4
So, an equation to find the percent P of recorded music sold as full-length cassettes for any year x between 2001 and 2006 would be,
y = mx + c
Substituting value of m and c,
y = -0.5x + 3.4
Now to find the percent of recorded music sold as full-length cassettes in 2004
Here, the number of years x would be
x = 2004 - 2001
x = 3
So, the percent of recorded music sold would be,
y = (-0.5 × 3) + 3.4
y = 1.9%
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giving brainliest to the best answer
If two even integers are multiplied, then the product is also even. Hypothesis: Two even integers are multiplied. Hypothesis starts after the word "if". Conclusion starts after the word "then".
How do you identify a hypothesis and conclusion?The sentence that comes just after the word "if" in a conditional statement is known as the hypothesis. The sentence that comes after the word then in a conditional statement is the conclusion.
If you earn high grades, the portion that follows the "if" is referred to as a hypothesis, and if you get good grades, the part that follows the "then" is referred to as a conclusion.
An if-then statement, also known as a conditional statement, is a set of hypotheses followed by a conclusion.
p → q
Read this: if p, then q.
If the hypothesis is correct but the conclusion is untrue, a conditional statement is false. If the statement in the example above read, "If you achieve good marks then you will not get into a good college," it would be untrue.
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If two even integers are multiplied, then the product is also even. Hypothesis: Two even integers are multiplied. Hypothesis starts after the word "if". Conclusion starts after the word "then".
How do you identify a hypothesis and conclusion?The sentence that comes just after the word "if" in a conditional statement is known as the hypothesis. The sentence that comes after the word then in a conditional statement is the conclusion.
If you earn high grades, the portion that follows the "if" is referred to as a hypothesis, and if you get good grades, the part that follows the "then" is referred to as a conclusion.
An if-then statement, also known as a conditional statement, is a set of hypotheses followed by a conclusion.
p → q
Read this: if p, then q.
If the hypothesis is correct but the conclusion is untrue, a conditional statement is false. If the statement in the example above read, "If you achieve good marks then you will not get into a good college," it would be untrue.
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