Answer:
4
Step-by-step explanation:
5-1=4
...............
A right rectangular prism has a length of 2 1/2 feet, a width of 3 feet, and a height of 1 1/2
feet. Unit cubes with side lengths of 1/2 foot are added to completely fill the prism with no space remaining. What is the volume, in cubic feet, of the right rectangular prism?
Answer: 11.25 ft³
Step-by-step explanation:
We can use the volume formula to solve. I will turn the halves into 0.5 for calculation purposes.
V = L * W * H
V = 2.5 * 3 * 1.5
V = 11.25 ft³
The volume of the rectangular prism is 11.25 ft³.
The double number line shows that 42 people watched Deon's new video today.
People
Percentage
0
0
42
100
People
0%
Complete the table to show different percentages of the number of people who watched the
video.
42
100%
Percentage
100% of 42 people
50% of 42 people
150% of 42 people
The different percentages are, 42%, 21% and 63%.
What is the percentage?
It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The word "percent" is used to symbolize it.
There is no dimension to percentages. As a result, it is known as a dimensionless number. We must divide the value by the entire value to find the percentage, and then multiply the resulting number by 100.
Now, according to the given information, the double number line shows that 42 people watched Deon's new video today.
Now, we are to find,
100% of 42 people.
This is, (100/100)*42 = 42%.
Again, 50% of 42 people is,
(50/100)*42 = 21%.
Again, 150% of 42 people is,
(150/100)*42 = 63%.
Hence, the percentages are, 42%, 21% and 63%.
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Answer:
Answers are in the explaination.
Step-by-step explanation:
100% of 42 people answer is 42
50% of 42 people answer is 21
150% of 42 people answer is 63
help pls?? answer for me??f
ANSWER
C PO SANA MAKATULONG PO YAN
please help me correct some answers on my test!! im really confused. please be serious, no weird answers
In circle A, the measure of arc CFE is 250 degrees. The measure of angle CAE is ___ degrees.
A shoemaker sold a pair of for $245.99 if the buyer a $300.00 bill, how much will the buyer receive in change?
*two decimal places don't forget your $ sign. Example: $50.00 NOT 50*
Answer:
$54.01
Step-by-step explanation:
All you have to do is $300.00-$245.99 .
Describe the type of correlation between the two variables on your graph. How do you know?
A graph's correlation between two variables reveals the relationship between them. The correlation is given a name based on the characteristics of the variables represented on the graphs.
What does the term correlation mean?
The data points of a person with two different factors are related in a scatterplot. The term "correlation" refers to this connection.
A correlation is the relationship between any two variables represented on any graph.
The correlation is divided into three main categories based on the sort of relationship between the variables. Those are
i) Positively correlation
ii) Negative correlation
iii) No correlation
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Please help me it’s asap
Answer:
215
Step-by-step explanation:
218+212/2
right angled triangle calc: find a, b=n/a, p=n/a
To find the unknown values in a right-angled triangle, such as the length of one side (a), we need additional information. Without specific measurements or relationships provided, the value of a cannot be determined.
In a right-angled triangle, the side lengths are typically denoted as a, b, and c, where a and b are the lengths of the two shorter sides (legs) and c is the length of the hypotenuse. To find the length of side a, we typically need either the lengths of the other sides (b and c), or additional information such as angles or ratios involving the sides.
The calculation of side lengths in a right-angled triangle often relies on trigonometric functions like sine, cosine, or tangent, or the Pythagorean theorem. These relationships allow us to solve for unknown side lengths when given certain measurements or angles.
Without specific values for side b or any additional relationships or measurements provided, it is not possible to determine the length of side a in the right-angled triangle. The determination of side lengths in a right-angled triangle requires further information or the application of relevant formulas or relationships associated with right triangles.
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4. Marcella has 4 fewer male cousins than female cousins. Let f represent the number of female cousins. Write an expression for the number of boy cousins.
The expression for the number of boy cousins will be f – 4.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Marcella has 4 fewer male cousins than female cousins.
Let f represent the number of female cousins.
Then the expression for the number of boy cousins will be
⇒ f – 4
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If the graph of f(x) = 4* Is shifted 7 units to the left, then what would be the equation of the new graph?
О А.
8(x) = 4x+7
O B.
8(x) = 4(x+7)
OC.
8(x) = 4(x-7)
OD.
8(x)=4*-7
Answer:
B
Step-by-step explanation:
there are a lot of typos in your question and answer options.
but if I understand it right, we have
f(x) = 4x
and shifting that 7 units to the left is
f(x + 7) = 4(x + 7)
which I think is answer option B.
To get from one term to the next in a sequence, we multiply by 2 and then
add 4.
The third term in the sequence is 48.
What is the first term in the sequence?
Answer: the first term in the sequence is 9.
Step-by-step explanation:
Let the primary term be x.
At that point the moment term is 2x + 4.
And the third term is 2(2x + 4) + 4 = 4x + 12.
Since the third term is given as 48, we will set up an condition and unravel for x:
4x + 12 = 48
4x = 36
x = 9
please help! i can never understand these problems
Answer:
1234567891011121314151617181920
the weight of the rectangle is 80 grams the weight of the triangle is double the weight of the circle determine the weight if the circle
a plane begins its takeoff at 2:00 p.m. on a 1980-mile flight. after 4.2 hours, the plane arrives at its destination. explain why there are at least two times during the flight when the speed of the plane is 200 miles per hour.
There are at least two times during the flight, such as takeoff, landing, or temporary slowdown/acceleration, when the speed of the plane could reach 200 miles per hour.
The speed of the plane can be calculated by dividing the total distance of the flight by the total time taken. In this case, the total distance is 1980 miles and the total time taken is 4.2 hours.
Therefore, the average speed of the plane during the flight is 1980/4.2 = 471.43 miles per hour.
To understand why there are at least two times during the flight when the speed of the plane is 200 miles per hour, we need to consider the concept of average speed.
The average speed is calculated over the entire duration of the flight, but it doesn't necessarily mean that the plane maintained the same speed throughout the entire journey.
During takeoff and landing, the plane's speed is relatively lower compared to cruising speed. It is possible that at some point during takeoff or landing, the plane's speed reaches 200 miles per hour.
Additionally, during any temporary slowdown or acceleration during the flight, the speed could also briefly reach 200 miles per hour.
In conclusion, the average speed of the plane during the flight is 471.43 miles per hour. However, there are at least two times during the flight, such as takeoff, landing, or temporary slowdown/acceleration, when the speed of the plane could reach 200 miles per hour.
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how do i solve s=zh-4zc^4 ,for z
Answer:
\(z=\frac{s}{h-4c^4}\)
Step-by-step explanation:
Switch the subject
\(s=zh-4zc^4\\zh-4zc^4=s\)
Factor
\(zh-4zc^4\\=z\left(h-4c^4\right)\\z\left(h-4c^4\right)=s\)
Divide: remember that h - 4c^4 is not equal to zero
\(\frac{z\left(h-4c^4\right)}{h-4c^4}=\frac{s}{h-4c^4}\)
Simplify your solution where z is the redefined subject
\(z=\frac{s}{h-4c^4}\)
Step-by-step explanation:
s=zh-4zc^4
we will factorise
s=z(h-4c^4)
we will divide both sides by (h-4c^4)
s/(h-4c^4)=z
z=s/(h-4c^4)
pls rate as brainliest
PLEASE HELP!!!
Josie is participating in a charity bike ride. This table and graph represent her performance during the ride where x is the number of hours Josie rides and y is her distance from the finish line. Match the quantity to the correct feature and interpretation.
Hours (x) 0 2 4 6 Kilometers away from finish line (y) 75 50 25 0
(ur answer) The x-intercept. The amount of time, in hours, that has passed when Josie completes the race.
(ur answer) The y-intercept. Josie's distance, in kilometers, from the finish line when she begins the ride.
(ur answer) The slope: the absolute value of the slope represents the speed Josie is riding in kilometers per hour.
ANSWERS TO PUT IN:
1. -25/2
2. 6
3. 75
The value of the x-intercept is 6, the y-intercept is 75, and the value of the slope is -25/2.
What is the slope?The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
\(\rm m =\dfrac{y_2-y_1}{x_2-x_1}\)
The x-intercept from the graph(where y = 0)
The x-intercept = 6
The y-intercept from the graph(where x = 0)
The y-intercept = 75
The slope can be found using two points: (0, 75) and (2, 50)
\(\rm m =\dfrac{50-75}{2-0}\)
m = -25/2
Thus, the value of the x-intercept is 6, the y-intercept is 75, and the value of the slope is -25/2.
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How can i show that p^(q-1) + q^(p-1) = 1 (mod pq)?
Step-by-step explanation:
you can just put in some values to check.
I actually used p =2 and q=3
the It will be
2^3-1 + 3^2-1 = 1 (mod 2×3)
2^2 +3^1 = 1 (mod 6)
4+3= 1 (mod6)
7= 1 (mod6)
which is true.
therefore p^(q-1) + q^( p-1) = 1 ( mod pq) is true
To show that p^(q-1) + q^(p-1) = 1 (mod pq), we can use Fermat's Little Theorem, which states that if p is a prime number and a is an integer not divisible by p, then a^(p-1) = 1 (mod p). Using this theorem, we can first show that p^(q-1) = 1 (mod q), since q is a prime number and p is not divisible by q. Similarly, we can show that q^(p-1) = 1 (mod p), since p is a prime number and q is not divisible by p.
Therefore, we can write:
p^(q-1) + q^(p-1) = 1 (mod q)
p^(q-1) + q^(p-1) = 1 (mod p)
By the Chinese Remainder Theorem, we can combine these two equations to obtain:
p^(q-1) + q^(p-1) = 1 (mod pq)
Thus, we have shown that p^(q-1) + q^(p-1) = 1 (mod pq).
We'll use Fermat's Little Theorem to show that p^(q-1) + q^(p-1) = 1 (mod pq).
Fermat's Little Theorem states that if p is a prime number and a is an integer not divisible by p, then:
a^(p-1) ≡ 1 (mod p)
Step 1: Apply Fermat's Little Theorem for p and q:
Since p and q are prime numbers, we have:
p^(q-1) ≡ 1 (mod q) and q^(p-1) ≡ 1 (mod p)
Step 2: Add the two congruences:
p^(q-1) + q^(p-1) ≡ 1 + 1 (mod lcm(p, q))
Step 3: Simplify the congruence:
Since p and q are prime, lcm(p, q) = pq, so we get:
p^(q-1) + q^(p-1) ≡ 2 (mod pq)
In your question, you've mentioned that the result should be 1 (mod pq), but based on Fermat's Little Theorem, the correct result is actually:
p^(q-1) + q^(p-1) ≡ 2 (mod pq)
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plz help brainliest to first answer **HELP** plz
Answer:
Angle UST= 180
Step-by-step explanation:
Im not so sure but angle U= 25 degrees+ angle S=95 degrees+ angle T=60 degrees. Dont rely on me too much I'm only a middle school kid that got put in a highschool course for some apparent reason.
I help I need help please someone help me !!!!!
Answer:
answer for this question is alternative A (80, 60) & (95,85)
so I have this problem in my workbook for math and it says to circle the whole numbers and explain my reasoning, here are the numbers : 9, 4/4, and 1.00000 which ones do I choose and what do I say
EXPLANATION.
The whole numbers are the same natural numbers that start from zero to infinity, they are positive and negative, for example in the number line we can see them from zero to positive infinity, and from zero to negative infinity.
Whole numbers express a complete unit, this means that they do not have an integer part and a decimal part.
Now according to what has already been mentioned, we can see in the exercise that the integers are 9 and 1.00000, which we must enclose in a circle.
Simplify the expression -m-17+14+12m
Answer: 11m-3
Step-by-step explanation: Add -m and +12m to get 11m. Then add -17 and +14 to get -3.
Answer:
11m-3
Step-by-step explanation:
First, rearrange the problem to where all the variables are next to each other
12m-m-17+14
Then, you subtract -m from 12m
11m-17+14
Now, add 14 to -17
11m-3
If you're supposed to set the expression to equal zero, lemme know and I'll edit my answer, hope this helps though :D
assume that the average sat score of first year ucf students is 1175 with a standard deviation of 120 and that the distribution of their sat scores is bell-shaped symmetric. find the minimum score of top 2.5% students.
To find the minimum score of the top 2.5% of students, we need to calculate the z-score corresponding to the 97.5th percentile and then convert it back to the original SAT score scale.
First, let's calculate the z-score using the formula:
z = (x - μ) / σ
where x is the SAT score, μ is the mean (1175), and σ is the standard deviation (120).
To find the z-score corresponding to the 97.5th percentile, we need to find the z-score value that leaves 2.5% in the tail of the distribution (to the right).
Using a standard normal distribution table or a statistical calculator, we find that the z-score corresponding to the 97.5th percentile is approximately 1.96.
Now we can solve for x (the SAT score) in the z-score formula:
1.96 = (x - 1175) / 120
Multiply both sides by 120:
1.96 * 120 = x - 1175
235.2 = x - 1175
Add 1175 to both sides:
235.2 + 1175 = x
1410.2 = x
Therefore, the minimum score of the top 2.5% of students is approximately 1410.
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Please answer below :)
I will mark the brainiest answer
The answer is 65 because bh/2=10*13/2=65
Hope this helps
Express the confidence interval 0.039
A. 0.259+0.22The confidence interval is 0.039. This means that the value lies between the range of -0.039 and 0.039. Therefore, we can express the confidence interval as the mean plus or minus the margin of error.
This will give us a range in which the true population mean lies.Let's assume that the mean is 0.259. Then the lower limit of the range is given by:Lower limit = 0.259 - 0.039 = 0.22 And the upper limit of the range is given by:Upper limit = 0.259 + 0.039 = 0.298Therefore, the confidence interval is: 0.22 to 0.298Now we can see that option A is the correct answer: 0.259+0.22.
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5. A manufacturing plant stores chemical waste in a temporary holding tank to be disposed of later. They have recently changed their storage procedure. The new procedure increases the amount, in pounds, of a dangerous chemical in the tank at a rate defined by the (12 - t)
function c(t) = e
3, where t is the number of months since the change was
implemented. Simultaneously, the plant also began a new removal procedure, which (t - 16)
removes the chemical from the tank at a rate defined by the function r(t) = e t is the number of months since the removal procedure began.
Part A
4, where
How many months will it take for the rate at which the chemical is added to the tank to be equal to the rate at which the chemical is removed from the tank? Explain how you found your answer.
Respond in the space provided.
hey bro wassup are you in a class
3. The!perimeter!of!a!rectangle!is!24.!!Find
the dimensions if its length is 4 greater
than its width.
Answer:
the length would be 9.6 and the width would be 2.4
Step-by-step explanation:
9.6×2= 19.2
2.4×2= 4.8
19.2+4.8=24
Determine the equation of the parabola with focus
(
2
,
5
)
(2,5) and directrix
�
=
18
x=18.
The equation of the parabola with focus (2,5) and directrix x=18 is (x - 18)² + (y - 5)² = (y - (5 + (18 - 2) / 2))².
A parabola is a conic section, the intersection of a right circular conical surface and a plane parallel to a generating
straight line of that surface.
The focus of a parabola is a fixed point on the interior of a parabola used in the formal definition of the curve.
The directrix is a straight line perpendicular to the axis of symmetry and placed symmetrically with respect to the focus.
The axis of symmetry is the line through the focus and perpendicular to the directrix.
The vertex of a parabola is the point where its axis of symmetry intersects the curve. It is the point where the parabola changes direction or "opens
up" or "opens down.
The directrix is a fixed straight line used in the definition of a
parabola. It is placed such that it is perpendicular to the axis of symmetry and at a distance from the vertex equal to the
distance between the vertex and focus. It is the line that is equidistant to the focus and every point on the curve.Here's
the solution to the given problem:
The distance between the directrix and the focus is equal to p = 16 (since the directrix is x = 18, the parabola opens to the left, so the distance is measured horizontally)
The vertex is (h,k) = ((18+2)/2,5) = (10,5)
Then we can use the following formula: (x - h)² = 4p(y - k)
Substitute the vertex and the value of p. (x - 10)² = 64(y - 5)
Expand and simplify. (x - 10)² + (y - 5)² = 64(y - 5)
The equation of the parabola is (x - 10)² + (y - 5)² = 64(y - 5).
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Which values, when substituted for x in the expression _/x , will result in an irrational number? Select all that apply.
The values, which when substituted for x in the expression √x , would result in an irrational number are:
x = 168x = 2x = 8x = 21x = πThe types of numbers.In Mathematics, there are six (6) common types of numbers and these include the following:
Natural (counting) numbersWhole numbersRational numbersIrrational numbersReal numbersIntegersWhat is an irrational number?An irrational number can be defined a type of number which comprises non-terminating or non-repeating decimals such as the square root of 168, 2, 8, 21, π, 11.
In conclusion, when a perfect square or 4 is substituted for x in the expression √x, the result is not an irrational number because it is neither a terminating nor a repeating decimal.
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Complete Question:
Which values, when substituted for x in the expression √x, will result in an irrational number? Select all that apply.
x = 168
x = 2
x = 8
x = 21
x = π
x = 4
when x is a perfect square.
the area of a circular trampoline is 112.07 square feet
The required answer is the approximately 5.98 feet.
The area of a circular trampoline is given as 112.07 square feet.
To find the radius of the trampoline,
area of a circle:
A = πr^2
where A is the area and r is the radius of the circle.
To find the radius,
r = √(A/π)
Substituting the given area, we have:
r = √(112.07/π)
Now, calculate the value of the radius using a calculator or estimation. the value of π to be approximately 3.14:
r = √(112.07/3.14)
r ≈ √(35.70675)
r ≈ 5.98
Therefore, the radius of the circular trampoline is approximately 5.98 feet.
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If c(x) = 4x-2 and d(x) = x2 + 5x, what is (c.d)(x)?
O 4x³ + 18x² - 10x
O x² +9x-2
O 16x² + 4x - 6
O4x² + 20x - 2
In a case whereby c(x) = 4x-2 and d(x) = x2 + 5x, is two different equation, then the value of c(d(x)) is 4x2 + 20x - 2.
How can the value of the expression c(d(x)) be calculated?the first equation is been given as c(x) = 4x-2
And the second equation is been given as d(x) = x2 + 5x
Then to know the value of c(d(x)) then we will need to find the multiplication of the values that is been associated with c and d and this can be done as:
c(d(x)) = [c(x2 + 5x)]
And this will give us
=[ 4(x2 + 5x) - 2]
then after expansion we will have 4x2 + 20x - 2, going through the solution, we can see that the function that is given is been followed and the values for each of the function is been substituted so that the the value of c(d(x)) can be gotten.
Therefore, option D is correct.
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