Answer:
b. x^2+4x
Step-by-step explanation:
So since you don't know the width, you can just represent it as a variable, and in this case that variable will be "x". Now using this variable we can use it to represent the length since there is a relationship between the width and length which is given. Since the length is 4 feet greater than the width, we can represent the length as (x+4). Now to find the area, we simply multiply the length * width, which is x * (x+4) = x^2 + 4x
What is the nth term of the sequence below?
2, 6, 12, 20, . . .
A. [tex]n {}^{2} \: + \: 1[/tex]
B. [tex]3n[/tex]
C. [tex]n(n \: + \: 1)[/tex]
D. [tex] {n}^{2} \: - \: 1[/tex]
Answer:
Option C
Kindly award branliest
Step-by-step explanation:
Tn = n(n + 1)
T1 = 1(1 +1) = 1(2) = 2
T2 = 2(2+1) = 2(3) =6
T3 = 3(3 + 1) = 3(4) = 12
T4 = 4(4 + 1) = 4(5) = 20
... It obeys
Find the indicated term of the geometric sequence.
10th term of 0.6, 0.06, 0.006,...
Answer:
0.0000000006
Step-by-step explanation:
0.6 * (0.1)^9 = 0.0000000006
the lengths of the sides of a triangle are 3, 3, 3√2. can the triangle be a right triangle? yes no
Answer:
no hdjsjfjabjsjfbsbajdisjsb
The triangle can be a right triangle
How to determine the triangle type?The side lengths are given as:
3, 3 and 3√2
If the triangle is a right triangle, then the following must be true
a^2 = b^2 + c^2
Where a is the longest side.
So, we have:
[tex](3\sqrt 2)^2 = 3^2 + 3^2[/tex]
Evaluate the expressions
18 = 18
Both sides of the equation are equal
Hence, the triangle can be a right triangle
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What is the probability that a random sample of 12 students will have a mean reading rate of more than 95 wpm
The probability that a random sample of 12 students will have a mean reading rate of more than 95 wpm is 0.0418.
There are several sorts of mean in arithmetic, in particular in statistics. each implies serves to summarize a given institution of information, often to better recognize the general fee of a given record set.
They imply (aka the mathematics mean, extraordinary from the geometric imply) of a dataset is the sum of all values divided with the aid of the entire variety of values. it is the maximum commonly used a degree of crucial tendency and is regularly referred to as the “average.”
Common can truely be described as the sum of all of the numbers divided by means of the entire quantity of values. An average is described as the mathematical common of the set of or more statistics values. common is commonly described as implying or arithmetic mean. mean is really a method of describing the average of the sample.
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Please help me quickly.
Thank you
Answer:
[tex]x = \bf -7[/tex]
Step-by-step explanation:
[tex]\frac{3}{4} (x + 21) = 10\frac{1}{2}[/tex]
• Divide both sides by [tex]\frac{3}{4}[/tex] :
⇒ [tex]x + 21 = 10\frac{1}{2} \space\ \div \frac{3}{4}[/tex]
⇒ [tex]x + 21 = 10\frac{1}{2} \space\ \times \frac{4}{3}[/tex]
⇒ [tex]x + 21 = 14[/tex]
• Subtract 21 from both sides:
⇒ [tex]x = 14 -21[/tex]
⇒ [tex]\boxed {x = \bf -7}[/tex]
Which expression illustrates the associative property of addition? (3 19) – 12 = (3 12) – 19 3 (19 – 12) = 3 (19 12) (3 19) – 12 = 3 (19 – 12) 3 (19 –12) = 3 – (19 12)
Answer:
Associative Property
For multiplication, the rule is "a(bc) = (ab)c"; in numbers, this means 2(3×4) = (2×3)4.
Answer:
3rd Option!
Step-by-step explanation:
EDGE 2022; good luck
You and a friend are playing a game of chance. Every time you roll a 1 or 2 you are successful, and your friend will pay you $1. Every time you roll (using a fair die) a 3, 4, 5 or 6, you must pay your friend $2. If 71% of your rolls are successful and 29% of your rolls are unsuccessful, how much money do you expect to have earned/owed by the end of the game
Considering the mean of a discrete distribution, you are expected to earn $0.13 by the end of the game.
What is the mean of a discrete distribution?The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
Since 71% of your rolls are successful and 29% of your rolls are unsuccessful, the distribution of your earnings is:
P(X = 1) = 0.71.P(X = -2) = 0.29Hence the expected value is:
E(X) = 1 x 0.71 - 2 x 0.29 = 0.71 - 0.58 = 0.13
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Does this graph represent a function? Why or why not?
A. No, because it is not a straight line.
• B. Yes, because it passes the vertical line test.
C. Yes, because it is a curved line.
• D. No, because it fails the vertical line test.
SUBMIT
Answer:
B. Yes, because it passes the vertical line test.
Step-by-step explanation:
Vertical line test - if a vertical line passes through more than one pone, the relation is not a function
Any vertical line will only pass through one point, so this relation is a function
The relation is a function because it passes the vertical line test
Find the mean for the given set of data.
-4,-3,-1,-1, 0, 1
-1 1/3
-1
-3/4
The mean for the given set of data exists at -1 1/3.
What is mean?Mean exists an arithmetic average of the data set and it can be estimated by dividing a totality of all the data points by the digit of data points in the data set. It exists a point in a data set that exists as the average of all the data points we keep in a set.
Mean = (Sum of terms) / (Number of elements)
To find the mean, we must add all of the numbers and then divide them by the number of values you were given.
-4 + -3 + -1 + -1 + 0 + 1 = -8
There exist a total 6 number of elements in the set of data.
Mean = (Sum of terms) / (Number of elements)
Mean = (-4 + -3 + -1 + -1 + 0 + 1) / 6
-4 + -3 + -1 + -1 + 0 + 1 = -8
Mean = -8 / 6
= -4/3 = -1 1/3
The mean for the given set of data exists at -1 1/3.
Therefore, the correct answer is option a) -1 1/3.
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Scenario: Kevin is baking cupcakes for a fundraiser at his school. Yesterday, he prepared 30 cupcakes in 45 minutes. Today, he prepared 20 cupcakes in 30 minutes.
A) Does the scenario represent a direct variation?
B) If yes, explain the meaning of the constant of proportionality in the scenario.
take your time if you want :)
a) As the constants are equal, the situation represents a proportional relationship.
b) The constant of 2/3 cupcakes per minute means that in a minute, 2/3 of a cupcake is made.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
In this problem, the constants for each situation are:
k = 30/45 = (30/15)/(45/15) = 2/3 = 20/30.
Since the constants are equal, the situation represents a proportional relationship.
The constant of 2/3 cupcakes per minute means that in a minute, 2/3 of a cupcake is made.
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Who am I ?
- My thousands digit is 4
- My hundreds digit is 4 less than the digit in the thousands place
- The sum of my tens digit and ones digit is 7
- My tens digit is 3 more than my ones digit
- The digits in the thousands period have a sum of 10
- My first digit is half the digit that immediately follows it.
I am the number_______________
I am the number 4052. It is rather confusing and i cannot promise that it is correct. Hope it helps : )
Centipedes differ from millipedes in that centipedes are cylindrical, have poison claws and 2 pairs of appendages per body segment
Centipedes differ from millipedes in that centipedes are cylindrical, have poison claws, and 2 pairs of appendages per body segment: FALSE
What are Centipedes?Their bodies have an elongated, cylindrical form that can appear flat at times. Adults can range in size from half an inch to 6.5 inches. Despite its "thousand-legger" moniker, most have less than 100 legs. Despite having so many legs, these arthropods move slowly.Most centipedes can only bite with their poison claws just under the head, causing a bee-like sting; however, Scolopendra can harm a person with the sharp claws of its many walking legs.Centipedes have only one pair of legs on each body segment, which can be seen protruding from their flattened bodies. The number of body segments varies by species, and the number of pairs of legs ranges from 15 to 177, plus or minus one.As it is given in the description, centipedes have only one pair of legs on each body segment. So, the whole statement becomes False.
Therefore, the statement "centipedes differ from millipedes in that centipedes are cylindrical, have poison claws, and 2 pairs of appendages per body segment" is FALSE.
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Complete question:
Centipedes differ from millipedes in that centipedes are cylindrical, have poison claws, and 2 pairs of appendages per body segment. TRUE or FALSE
What is the solution of…
Answer:
x/2>5
x>5*2
x>10.....equation 1
3x≥9
x≥9/3
x≥3.....equation 2
so by combining of the two equation we get
x>10 because it is the intersection of the. . two equations.
The answer will the Third
Which expresses the correct factorization
of….? look at pic
Answer:
Option 1
Step-by-step explanation:
Find 2 numbers that multiply to give 16 and sum to give +8 :
These numbers are 4 and 4
Now split +8x into +4x and +4x and factor each part :
x²+4x+4x+16 = 0
x(x+4)+4(x+4) = 0
Keep 1 bracket and the terms outside the brackets make their own :
(x+4)(x+4) = 0
(x+4)² = 0
Therefore answer will be Option 1
Hope this helped and have a good day
Members of a softball team raised $1353 to go to a tournament. They rented a bus for
$943.50 and budgeted $31.50 per player for meals. Write and solve an equation
which can be used to determine x, the number of players the team can bring to the
tournament.
Equation:
Answer: x =
Submit Answer
attempt 1 out of 2
The equation which can be used to determine x, the number of players the team can bring to the
tournament is 1353 = 943.50 + 31.50x and x = 13 players
EquationTotal amount raised = $1353Cost of renting a bus = $943.50Cost of each player's meal = $31.50Number of players in the team = x1353 = 943.50 + 31.50x
1353 - 943.50 = 31.50x
409.50 = 31.50x
x = 409.50 / 31.50
x = 13 players
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Which graph represents the solution
8 - 3x ≥ -4
Answer:
3rd option
Step-by-step explanation:
8 - 3x ≥ - 4 ( subtract 8 from both sides )
- 3x ≥ - 12
divide both sides by - 3 , reversing the symbol as a result of dividing by a negative quantity.
x ≤ 4
since ≤ the circle on number line is solid ( not open )
since less than 4 then arrow points left away from 4
the solution is shown on the third graph
What is the simplified form of tan (pi÷4-x)
Answer:
π/4 − x
Step-by-step explanation:
I hope its correct
The surface of a table to be built will be in the shape shown below. The distance from the center of the shape to the center of each side is 10.4 inches and the length of each side is 12 inches.
The are of the triangle is mathematically given as
a=62.4in^2. This is further explained below.
What is the area of the triangle?Generally, the equation for the area is mathematically given as
a= 0.5(base X height)
Therefore
a= 0.5 (10.4 x 12)
a=62.4in^2
In conclusion, The area of the triangle is
a=62.4in^2
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You estimate that there are 40 marbles in a jar. the actual amount is 34 marbles. find the percent error. round to the nearest tenth of a percent if necessary.
The percentage error of the given estimation is 17.7%.
The percentage error of any estimation is calculated as:
Percentage error = {(|Actual Value - Estimated Value|)/Actual Value}*100%.
In the question,
The estimated value is given to be 40 marbles.
The actual value is given to be 34 marbles.
We are asked to find the percentage error of this estimation.
We know that:
Percentage error = {(|Actual Value - Estimated Value|)/Actual Value}*100%.
Substituting the values, we get:
Percentage error = {(|34 - 40|)/34}*100%,
or, Percentage error = 6/34*100%,
or, Percentage error = 17.6470 % = 17.7% (Rounding to the nearest tenth, that is, up to one decimal place).
Thus, the percentage error of the given estimation is 17.7%.
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The solution of the cubic function f(x) are −4,53, and 1. Identify a factor of this function.
Select one:
a. 3x+5
b. 5x+3
c. x+1
d. x+4
A factor of the polynomial function is (d) x + 4
How to determine the factor of the function?The solution of the cubic function f(x) are given as:
−4, 5/3, and 1.
This means that:
x = -4, x = 5/3 and x = 1
Set the above equations to 0
x + 4 = 0, x - 5/3 = 0 and x - 1 = 0
From the list of options, we have
(d) x + 4
Hence, a factor of the polynomial function is (d) x + 4
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A zoologist researched the feeding habits of lemurs. she collected data by studying the lemurs in a zoo exhibit for a one-month period and drew conclusions based on her data. what kind of statistical study did the zoologist conduct?
The kind of statistical study the zoologist conducted was D. observational study.
What is observational study in research?An observational study serves as a study whereby the researcher simply observes the subjects without interfering with it.
This is different from carrying out experiment on them or just a theoretical approach.
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CHECK THE COMPLETE QUESTION BELOW:
A zoologist researched the feeding habits of lemurs. She collected data by studying the lemurs in a zoo exhibit for a one-month period and drew conclusions based on her data. What kind of statistical study did the zoologist conduct? A. survey B. theoretical study C. experiment D. observational study
If f(x) and ¹(x) are inverse functions of each other and f(x) = 2x+5, what is f¹ (8)?
-1
T MIN 700
3
8
23
Answer: 3/2
Step-by-step explanation:
[tex]f^{-1}(8)=k \implies f(k)=8\\\\\therefore 2k+5=8\\\\2k=3\\\\k=\frac{3}{2}[/tex]
Help solve these (find the slope of each line) 8 problems don’t just give the answer show your work please
Answer:
Khan Academy.
Step-by-step explanation:
You can go on khan academy and search up "area and graphs." The videos should immediately pop up. there are also lessons if you don't want to risk getting your problem wrong. If you are still confused and do not understand please just comment and I will respond.
15 athletes are assigned to one of three teams. Each team will have five athletes. The teams are different, so it matters who gets assigned to which team. How many ways are there to assign the athletes to the teams
Answer:
There is only one way to assign the athletes to the team by giving 5 athletes to each team
Find the area of a circle with diameter, d = 3.3m. give your answer rounded to 1 dp.
Answer:
Step-by-step explanation:
the area of a circle is πr²
r being the radius, which is equal to half the diameter
3.3/2= 1.65
π(1.65)²=8.6m
Solve:
-5/2 a + 5 = 25
a =
Answer:
A = -8
You're welcome! :)
Answer: a = -8
Step-by-step explanation:
Combine multiplied terms into a single fraction
then find a Find common denominator for the fraction
then Combine fractions with common denominator,
Multiply the numbers, Multiply all terms by the same value to eliminate fraction denominators, Cancel multiplied terms that are in the denominator,
Multiply the numbers making your equation like this -5a+10=50
subtract 10 by both sides and then you will need to simplify making it
-5a + 40 then you divide them both by the same factor which is -5 then you simplify again making the answer to your question -8
PLEASE HELP
Quentin is using paper folding to find the center of a circle. He draws triangle ABC on a sheet of patty paper and folds the paper so that vertex A is lined up on vertex B. He then repeats the process twice so that vertex A is lined up on vertex C and vertex B is lined up on vertex C.
Blank one: angle OR perpendicular
Blank two: lies on OR is the center of
blank three: inscribed OR circumscribed
The necessary solution that would be used to fill in the blanks would be
perpendicularis the center ofCircumscribedHow to find the center of the circleThe way that Quintin would be able to do this would be the center of the circumferential triangle is equidistant from the vertices.
The center is going to be the intersection of the bisectors of the three sides of the given triangle.
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perpendicular bisectors, is the center of, circumscribed
Answer:
In the image
Hope this helps!
Step-by-step explanation:
1. perpendicular
2. is the center of
3. circumscribed
Function n models a cubic function in function n represents a cubic function that passes through the points (-1,0) (0,2) brainly
The y-intercept of m is smaller than n of y-intercept.
function's y-interceptThe points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.
A function's y-intercept is the value of y when
x= 0
The cubic function represented by function n traverses the points (-1,0) and (0,2).
When, x=0 ,y=2 and y = 2 is the y-intercept.
Operation m:
When, x=0,y = -6 the y-intercept is y = -6, which is less than 2, meaning that the y-intercept of m is smaller than the y-intercept of n, and option A provides the correct response.So the y-intercept of m is smaller than n of y-intercept.
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During the current year mute corporation expected that sell 24,600 telephone switches. fixed cost of the year were expected to be 12,147,000 the unit sales price was budgeted at 3,500 and unit variable costs are budgeted at 1,680. minutes margin of safety in units is
The corporation's margin of safety is 0.73.
What is the margin of safety?Margin of safety is the amount of sales a company makes in excess of the breakeven point.
Margin of safety = (forecasted sales - break-even sales) / forecasted sales
Break even sales = fixed cost / (price per unit - variable cost)
12,147,000 / (3500 - 1680) = 6,674.18
Margin of safety = (24,600 - 6,674.18) / 24,600 = 0.73
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Let theta be an angle in quadrant iv such as sin theta = -5/8. find the exact value of sec theta and cot theta
Using a trigonometric identity, it is found that the secant and the cotangent of the angles are given as follows:
[tex]\sec{\theta} = \frac{8\sqrt{39}}{39}[/tex][tex]\cot{\theta} = -\frac{\sqrt{39}}{5}[/tex]Which trigonometric identity relates the sine and the cosine of an angle?The following identity is used, considering an angle [tex]\theta[/tex].
[tex]\sin^2{\theta} + \cos^2{\theta} = 1[/tex]
In this problem we are given the sine, then the cosine can be found as follows:
[tex]\left(-frac{5}{8}\right)^2 + \cos^2{\theta} = 1[/tex]
[tex]\cos^2{\theta} = 1 - \frac{25}{64}[/tex]
[tex]\cos^2{\theta} = \frac{39}{64}[/tex]
[tex]\cos{\theta} = \pm \sqrt{\frac{39}{64}}[/tex]
In the fourth quadrant, the cosine is positive, hence:
[tex]\cos{\theta} = \frac{\sqrt{39}}{8}[/tex].
What is the secant of an angle?The secant of an angle [tex]\theta[/tex] is one divided by the cosine of the angle, hence:
[tex]\sec{\theta} = \frac{1}{\cos{\theta}} = \frac{1}{\frac{\sqrt{39}}{8}} = \frac{8}{\sqrt{39}} \times \frac{\sqrt{39}}{\sqrt{39}} = \frac{8\sqrt{39}}{39}[/tex]
What is the cotangent of an angle?The cotangent of an angle [tex]\theta[/tex] is the cosine divided by the sine of the angle, hence:
[tex]\cot{\theta} = \frac{\cos{\theta}}{\sin{\theta}} = \frac{\frac{\sqrt{39}}{8}}{-\frac{5}{8}} = -\frac{\sqrt{39}}{5}[/tex]
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