Step-by-step explanation:
the area of a rectangle is always
length × width
so, here we have
8x³y³z⁷ × 7x³y⁸z⁴
since we don't have further information about the variables, we can't calculate a specific number, but we can simplify the result expression.
remember, factors with the same base can be combined (when multiplying terms of the same variable by different exponents, we summit add the exponents).
and multiplication is freely commutative : the sequence of factors does not matter.
8x³y³z⁷ × 7x³y⁸z⁴ = 8×7 × x³x³ × y³y⁸ × z⁷z⁴ =
= 56x⁶y¹¹z¹¹
what is 3.5 times more than 34.80
well times means multiply so 3.5 times 34.80 is 121.8
Find the length of side a in simplest radical form with a rational denominator.
Answer:
Step-by-step explanation:
Remark
You need to choose between tan(30) and tan(60). Tan(60) = √3 which has a rational denominator (1).
Tan(60) = opposite / adjacent
Tan(60) = √3
Given
opposite = x
adjacent = 4
Theta = 60
Tan(theta) = √3
Solution
Tan(theta) = opposite / adjacent Substitute values
√3 = x / 4 Multiply both sides by 4
4√3 = x
Answer
x = 4√3
HELP PLEASE determine the number of real number solutions for the equation x^2+6x+9=0
Answer:
1 Answer->3
Step-by-step explanation:
To factor this out find the factors of 9 which add up to 6.
3 and 3 work therefore factor it out to
(x+3)(x+3)=0
Using Zero product property x is equal to -3
And there is only one answer which is 3
Can someone help me out on this question! I’ll give mark you brainliest if you answer!!!
Part A
Answer: School BReason:
The range, IQR, and the standard deviation are all measures of spread.
IQR stands for Interquartile Range. Unfortunately your teacher made a typo and wrote IRQ by mistake.
The symbol [tex]\sigma[/tex] is the greek letter sigma used to represent the population standard deviation.
The smaller these measures are, the more less spread out the values will be. This leads to the most consistent data set. Think of it like being on an archery range. The more consistent shots are closely clustered around the same point (not necessarily the center), while the less consistent shots are more randomly scattered about.
School B has the smallest range, IQR, and standard deviation of the three schools. Therefore, this school has the most consistent attendance.
=============================================================
Part B
Answer: School CReason:
This school has the highest mean, and also the largest median, of all three schools. Both of these are measures of center or average. Compared to school B, this data set is a bit more spread out and not as consistent.
NEED HELP ASAP SOME HELP PLEASE
Answer:
B
Vertex = (6,18)
Step-by-step explanation:
Vertex form = f(x) = a(x-h)^2+k
Evaluate 2r + 1 if r=3
Answer:
7
Step-by-step explanation:
2r + 1
Let r = 3
2(3)+1
6+1
7
Step-by-step explanation:
We have,
r = 3[tex]\sf 2r+1[/tex]
Put the value of r,
[tex]\longmapsto \sf 2(3)+1[/tex]
[tex]\longmapsto \sf 6+1[/tex]
[tex]\longmapsto \sf 7[/tex]
What is the value of e?
A 32
B 238
C 58
D 122
Select two ratios that are equivalent to 4:18.
Answer: The two ratios that are equivalent to 4:18 include 2:9 and 8:36
Step-by-step explanation:
To be able to solve this question, we've to simplify the given ratio. Therefore, 4:18 will be reduced to the lowest term and this will be:
= 4/18 = 2/9
Also, when 4/18 is multiplied by 2 for both the numerator and denominator, the value will be:
= 4×2/18×2
= 8/36
Therefore, the correct options will be B(2:9) and E(8:36).
it is easy.....
first, convert this ratio into a fraction
4 : 18 = 4/18
now , equivalent fractions
= 4 = 4 × 2 , 4 × 3
18 = 18 × 2 ,18 × 3
now answer
= 4/18 , 8/36 , 12/54
again covert into ratio
= 4:18 , 8:36 , 12:54
36 and 2 are (the GCF and the LCM)
The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.
36
Find the prime factors of each term to find the greatest common factor (GCF).
2
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HELP ME PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
she wants to get information about the behavior of registered voters, but she surveys newspaper subscribers.
we have no clue, if they are registered voters.
if they are not, then the information does not apply.
if they are a mixture, then the survey mixed apples and oranges and does not provide usable information.
only if they all are also registered voters (which we don't know), this would provide some useful information.
but even in that last case I have to say she would have gotten information only about voters reading a specific newspaper. this particular newspaper might be one with especially short or long political commentaries. for better results the demographic sample population should cover multiple newspapers, or be newspaper independent (by picking the sample from voters registration lists instead of newspaper subscription lists).
PLEASE HELP BRAINIEST AND EXTRA POINTS IF RIGHT ON THE QUESTION ALSO PLEASE SHOW YOUR WORK BECAUSE I NEED TO LEARN HOW TO DO THIS ON MY OWN TOO
At what input value will the function f(x)=[tex]\sqrt{-x}[/tex]-2+2 begin to have real outputs?
Answer:
x = -2
Step-by-step explanation:
Domain of definition
[tex]\sqrt{-x-2}[/tex]
=> -x - 2 >= 0
=> x <= -2
When x = -2 f(x) gets real outputs
Chandra is working on an art project using a cone that had a height of 11 inches and a base radius of 2 inches whats the volume of the cone to the nearest cubic inch
Answer:
=29 in³
Step-by-step explanation:
Volume of a cone = 1/3×π×2³×11
= 29 1/3 in³
= 29 in³ (to the nearest whole number)
Finding Angles (Level 1)
PLEASE full explanation :))
Answer:
59°Step-by-step explanation:
A and B are complementary angles since C is right angle.
m∠A + m∠B = 90°31° + m∠B = 90°m∠B = 90° - 31°m∠B = 59°The volume of a tree stump can be modeled by considering it as a right cylinder. Justin measures its circumference as 84 in and its volume as 20214 cubic inches. Find the height of the stump in feet. Round your answer to the nearest tenth if necessary.
Given the values of the circumference and volume, the height of the tree trump to the nearest tenth is 36.0in.
What is a cylinder?A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.
The volume of a cylinder is expressed as;
V = π × r² × h
Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )
Given the data in the question;
Circumference of the circular base C = 84inVolume of the cylinderical tree stump V = 20214in³First we determine the radius of the circular base.
Since circumference C = 2πr then r = C / 2π.
Hence, the volume of the cylinderical tree stump will be;
V = π × (C / 2π)² × h
V = π × ( C² / 4π² ) × h
V = hC² / 4π
4πV = hC²
h = 4πV / C²
We substitute our given values into the expression
h = ( 4 × 3.14 × 20214in³ ) / (84in)²
h = 253887.84in³ / 7056in²
h = 36.0in
Therefore, given the values of the circumference and volume, the height of the tree trump to the nearest tenth is 36.0in.
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Answer:
3
Step-by-step explanation:
VERIFED PEOPLE ARE WORNG!
1. How do binomial and geometric models differ?
2. In what situations would a geometric model be better than a binomial model?
Answer: A binomial has a specified number of trials just before an experiment begins, and X counts the number of achievements acquired within that limited number. While a geometric, on the other hand, has a fixed number of successes and counts the number of attempts necessary to reach the first success.
Step-by-step explanation:
This is only for the first question i don't know the second one sorry
The required difference between binomial and geometric models is In binomial there is to count of the number of successes, and in the geometric model, only the first success counts.
GIven that,
To determine how do binomial and geometric models differ and situations would a geometric model be better than a binomial model.
In mathematics, it deals with numbers of operations according to the statements.
Binomial distribution describes the number of successes k achieved in n trials and Given a finite number of trials, the geometric distribution is useful for calculating the chance of success.
Before an experiment starts, a binomial has a set number of trials, and X counts the number of successes attained within that fixed number. A geometric, on the contrary, count the number of efforts required to attain the first success and has a set number of successes.
The experiment can have an infinite number of attempts before success, unlike the binomial distribution which has a fixed number of trials, hence the geometric distribution is useful to describe the number of failures before the first success in such a sequence of trials.
Thus, the required difference between binomial and geometric models is In binomial there is to count of the number of successes, and in the geometric model, only the first success counts.
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HELP!! 50 POINTS PLEASEEEE
What number of cakes sold is an outlier
Answer:
9
Step-by-step explanation:
it is the odd one out, also because it is spread away from the other data points
need help with all of these questions you see on the top. there the red squares. please someone smart. this is one of the problems I need to finish this tonight
Answer:
254.5 ft^3
Step-by-step explanation:
The volume of a cylinder is the area of the base times its height. To find the area of the base, since it is a circle, you would use the area formula of a circle([tex]\pi r^{2}[/tex] where r is the radius). So, the circle would have an area of 81 π. Now, multiplying this by the height, you get the volume. Since the height is just 1, the volume would be 81π which is 254.469004941. This rounded to the nearest tenth is 254.5.
Yo last one c'monnn pls someone!!
Answer:
a + (-c), b, c - (-b)
Step-by-step explanation:
First, identify the values of each point.
a = -1
b = 2
c = 3
Now, we can solve for the problems listed below the number line. We already know b = 2, so we don't need to solve for that one.
c - (-b) = 3 - (-2)
3 - (-2) = 3 + 2
= 5
--------------------------
a + (-c) = -1 + (-3)
-1 + (-3) = -1 -3
= -4
Now we can list the choices in order from least to greatest.
-4, 2, 5
aka; a + (-c), b, c - (-b)
hope this helps!
Thirteen people are entered in a race. If there are no ties, in how many ways can the first
three places be awarded?
A) 858
B) 1684
C) 1716
D) 39
Answer:
Answer c
Mark brainliest :)
Solve for x. Round to the nearest tenth, if necessary.
Answer:
x = 14
Step-by-step explanation.
First I would use sine to find x's value. So ----> sin(30) = 7/x ----> x sin(30) = 7 ----> x = 7/sin(30) = 14.
You Can also find that x is equal to 14 by applying the 30, 60, 90, triangle rule. Becuase '7' opposes the 30 degree angle it is 1/2 the hypotenuse, if thats the case just multiply the 7 by 2 and you have the hypotenuse length.
what is the slope of (–4, 2) and (5, 6)?
up 1 over +2 if your cords are (-4,2) and (5,6)
I need this question answered
Segment Segment X Y is dilated through point M with a scale factor of 2. Which segment shows the correct result of the dilation?
Point M is the center of dilation. Segment A E has length of 1.5, B F has a length of 2, X Y has a length of 3, C G has a length of 5, and D H has a length of 6.
Answer:
segment BF
Step-by-step explanation:
I've been helping a ton of people and haven't even asked a question yet! I'm stuck on how to do this, and I could use some help. I'd really appreciate it if someone could help me :)
Answer:
Step-by-step explanation:
Answer to first question = her mistake was that she wrote the constant to be 10 whereas the constant is actually -10 once you rearrange the equation to look like a quadratic equation.
Quadratic equations are written in form of ax^2 + bx + c = 0
You are given x^2 + 3x = 10, first you need to bring the constant c (10) to the left side (by subtracting 10 on both sides).
x^2 + 3x - 10 = 0
c = -10
Answer to second part:
x = 2, -5
...................................
Of two traingles
2×1/2BHBH3(2)6ft²Of 3 rectangles
3LB3(10)(3)9(10)90ft²TSA
90+6=96ft²Answer:
96 ft²
Step-by-step explanation:
As the base of the prism (the triangle) is an equilateral triangle (the sides are the same length), the surface area of the prism comprises:
3 congruent rectangles2 congruent trianglesArea of a rectangle = width × length
⇒ area of the rectangle = 3 ft × 10 ft = 30 ft²
Area of a triangle = 1/2 × base × height
⇒ area of the triangle = 1/2 × 3 ft × 2 ft = 3 ft²
Total surface area = 3 × area of the rectangle + 2 × area of the triangle
= 3 × 30 ft² + 2 × 3 ft²
= 90 ft² + 6 ft²
= 96 ft²
One of the legs of a right triangle measures 13 cm and the other leg measures 7 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
At the local fair, the admission fee is $8.00 for an adult and $4.50 for a youth.
One Saturday, 209 admissions were purchased, with total receipts of $1304.50.
How many adult admissions and how many youth admissions were purchased?
The 104 adults and 105 youth admissions were purchased if the admission fee is $8.00 for an adult and $4.50 for a youth.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
At the local fair, the admission fee is $8.00 for an adult and $4.50 for a youth.
Let's suppose the number of admission of adults is x and for youth is y, then,
x + y = 209 ...(1)
8x + 4.50y = 1304.5 ...(2)
After solving the above two linear equation, we get:
x = 104
y = 105
Thus, the 104 adults and 105 youth admissions were purchased if the admission fee is $8.00 for an adult and $4.50 for a youth.
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The time, in seconds, that it takes a pendulum to swing back and forth is modeled by the equation below. f (l) = 2 pi startroot startfraction l over 32 endfraction endroot, where l is the length of the pendulum in feet what is the approximate length of a pendulum that takes 2.4 pi seconds to swing back and forth? 1.72 ft 3.05 ft 38.40 ft 46.08 ft
Considering the given equation for the time, it is found that the length of the pendulum in this problem is of 38.40 ft.
What is the equation for the time it takes for the pendulum to swing back and forth?The equation is given as follows:
[tex]f(l) = 2\pi\frac{l}{32}[/tex]
In which l is the length of the pendulum.
In this problem, we have that [tex]f(l) = 2.4\pi[/tex], hence:
[tex]f(l) = 2\pi\frac{l}{32}[/tex]
[tex]2.4\pi = 2\pi\frac{l}{32}[/tex]
l = 32 x 1.2
l = 38.4 ft.
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Answer:
c
Step-by-step explanation:
just did it
An on-the-job injury occurs once every 10 days on
average at an automobile plant. What is the probability that
the next on-the-job injury will occur within
a. 10 days?
b. 5 days?
c. 1 day?
The probability that the next on-the-job injury will occur within 10, 5, and 1 day are 0.632, 0.393, and 0.095
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We know the exponential distribution is given by;
[tex]\rm P(X < t)=1-e^{-\dfrac{1}{\mu}t}[/tex]
The probability that the next on-the-job injury will occur within 10 days:
[tex]\rm P(X < 10)=1-e^{-\dfrac{1}{10}10}[/tex]
P(X< 10) = 0.632
The probability that the next on-the-job injury will occur within 20 days:
[tex]\rm P(X < 5)=1-e^{-\dfrac{1}{10}5}[/tex]
P(X< 5) = 0.393
The probability that the next on-the-job injury will occur within 1 days:
[tex]\rm P(X < 1)=1-e^{-\dfrac{1}{10}1}[/tex]
P(X< 1) = 0.095
Thus, the probability that the next on-the-job injury will occur within 10, 5, and 1 day are 0.632, 0.393, and 0.095
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Joe is packing 1-centimeter cubes into a prism.
What is the volume of the prism?
Show your work below.
The volume of the prism when Joe is packing the cubes will be 210cm³.
How to calculate the prism?It should be noted that the volume of the prism given in this situation will be:
= Length × Width × Height
In this case, since Joe is packing 1-centimeter cubes into a prism. The volume will be:
= Length × Width × Height
= 5 × 6 × 7
= 210cm³
In conclusion, the volume will be 210cm³.
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