The amount of wrapping paper which Elijah used is equal to 812 m².
How to calculate the surface area of a rectangular prism?In Mathematics and Geometry, the surface area of a rectangular prism can be calculated and determined by using this mathematical equation or formula:
Surface area of a rectangular prism = 2(LH + LW + WH)
Where:
SA represents the surface area of a rectangular prism.L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height of a rectangular prism.By substituting the given side lengths into the formula for the surface area of a right rectangular prism, we have the following;
Surface area of a right rectangular prism = 2[3 × 10 + (10 × 12 × 2) + (13 × 12 × 2)]
Surface area of a right rectangular prism = 812 m².
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Which of the following must be true for the parallelogram shown below?
Answer:
We conclude that:
Option D i.e. m∠DAB = m∠BCD is correct option.
Step-by-step explanation:
We know that a Parallelogram is a quadrilateral with two pairs of parallel sides.
We also know that the opposite angles of a parallelogram are equal.
Given
m∠DABm∠BCDFrom the figure:
It is clear that m∠DAB is the opposite angle of m∠BCD.
Thus,
m∠DAB = m∠BCD ∵ opposite angles of a parallelogram are equal.
Therefore, we conclude that:
Option D i.e. m∠DAB = m∠BCD is correct option.
Find the area of the regular polygon. Round to the nearest tenth.
Answer:
3462.8 squared unit
Step-by-step explanation:
Applying,
A = nh²tan(360/n)......... equation 1
Where A = area of the regular polygon, n = number of sides of the polygon, h = length of the apothem.
From the question,
Give; n = 5 sides, h = 15
Substitute these values into equation 1
A = 5×15²×tan(360/5)
A = 1125×tan72
A = 1125×3.078
A = 3462.75
A = 3462.8 squared unit
Choose all the numbers that could be common denominators for 2/3 and 3/4. 8, 12, 16, 36, 48
Answer: 12 36 and 48
chứng minh các hàm số sau là liên tục tại mọi điểm x thuộc R
a. f(x) = 6x+3
b. f(x) = mx+b
c. hãy nêu ý nghĩa của hàm liên tục trong kinh tế? trình bày một vài ví dụ minh họa
Answer:
c. hãy nêu ý nghĩa của hàm liên tục trong kinh tế? trình bày một vài ví dụ minh họa
Step-by-step explanation:
:)
Solve 7+X - 15 = -2 2/3
5 1/3
10 2/3
20 2/3
6 1/3
Answer:
solve 7+x-15=-2 2/3
Step-by-step explanation:
7+x-15=-2 2/3 -8+x=-8/3 x=-8/3+8 x=16/3 first question answer second question answer 5 1/3 5*3+1/3 15+1/3 16/3 3rd questiin answer 10 2/3 10*3+2/3 30+2/3 32/3 solve by this method another question
Jo started a business selling fishing supplies. He spent $5200 to obtain his initial supplies, and it costs him $350 per week for general expenses. He earns $750 per week in sales.
Create the linear function, in slope-intercept form, that represents the scenario.
The linear function is given by 5200+350x = 750x
What is linear function?
A linear function is a function which forms a straight line in a graph. It is generally a polynomial function whose degree is utmost 1 or 0.
Amount spent to obtain merchandise = $5,200
Cost of general expenses = $350
Earnings from sales per week = $750
Now,
Let 'x' be the number of weeks taken to make profit
thus,
Total cost involved = $5,200 + ( $350 × x )
Total profit from sales = $750 × x
Now, the number of weeks after that the cost and earning will be equal, will be given by
5200+350x = 750x
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Find the sum of the geometric series given a1=2, r=−3, and n=8.
Answer:
S₈ = - 3280
Step-by-step explanation:
The sum to n terms of a geometric series is
\(S_{n}\) = \(\frac{a_{}(r^{n}-1) }{r-1}\)
Here a₁ = 2, r = - 3 and n = 8 , then
S₈ = \(\frac{2((-3)^{8}-1) }{-3-1}\)
= \(\frac{2(6561-1)}{-4}\)
= \(\frac{2(6560)}{-4}\)
= \(\frac{13120}{-4}\)
= - 3280
Suppose that a cylinder has a radius of r units, and that the height of the cylinder is also r units. The lateral area of the cylinder is 338 square units. Find the value of r.
Answer:
r = 7.33 units
Step-by-step explanation:
Given that,
A cylinder has a radius of r units, and that the height of the cylinder is also r units.
The lateral area of the cylinder is 338 square units.
We need to find the value of r.
The formula for the lateral area of the cylinder is given by :
\(A=2\pi rh\)
Put all the values,
\(2\pi r^2=338\\\\r=\sqrt{\dfrac{338}{2\pi}} \\\\r=7.33\ unit\)
So, the value of r is equal to 7.33 units.
p^q is logically equivalent to
The logically equivalent statement to p → q is:
~q → ~p
How to find the logically equivalent statement?The conditional statement:
p → q
Assuming p and q are propositions, the conditional statement may be expressed as:
"If p holds true, then q follows suit. "
'
Whenever p is true, q is true as well. This implies that if q is false, then p must also be false.
We can rephrase this statement cleverly using the negative propositions, which include the opposite or contradictory statements.
~p and ~q
These mean:
Not p and Not q respectively.
Then the statement:
"If q is not true, then p is not true"
Is written as:
~q → ~p
So this is the logically equivalent statement.
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The Complete Question
Given a conditional statement p → q, which statement is logically equivalent?
~p → ~q
~q → ~p
q → p
p → ~q
The difference of two fractions is 1/8?
1/2 , 2/10, 1/6, 3/8
Answer:
1/2-3/8
Step-by-step explanation:
Convert to decimals and round to nearest tenth. 1/2=50% 3/8= 37.5% 1/8=12.5%
50-37.5=12.5
Factor the polynomial, or identify it as irreducible. If the polynomial is irreducible, enter
NA
x3 + 2x2 - 87
there are 25 student in a class. five of then scored A and 10 of them score B while the other scored C for Biostatistics. if a student is selected at random, calculate the probability that the selected student scored A or B in biostastics.
There is a 60% probability that a randomly selected student from the class scored either an A or B in Biostatistics.
To calculate the probability that a randomly selected student scored either an A or B in Biostatistics, we need to consider the number of students who scored A and B and divide it by the total number of students in the class.
Given that there are 25 students in the class, 5 of them scored an A and 10 scored a B. To calculate the probability, we add the number of students who scored A (5) to the number of students who scored B (10):
Number of students who scored A or B = Number of students who scored A + Number of students who scored B = 5 + 10 = 15.
Therefore, the probability that a randomly selected student scored A or B
in Biostatistics is:
Probability = Number of students who scored A or B / Total number of students = 15 / 25 = 0.6 or 60%.
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Which of the following are true of F(x)?
How do division properties help you evaluate expressions?
Drag a word or number to the box to correctly complete the statement.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
When the Response area of a fraction is equal to −1 and the numerator is nonzero, the value of the fraction is equal to the
The division property of equality simply tells us that if we divide both sides of an equation by the same number, then the equation remains the same.
How to explain the information?It should be noted that when the denominator of a fraction is equal to 1, and the numerator is nonzero, the value of the fraction is equal to the numerator of the fraction.
Fractions simply means, numbers that are not whole.
If the numerator is nonzero, and the denominator is 1; then the fraction has a value of the numerator.
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Answer:
When the denominator of a fraction is equal to 1 and the numerator is nonzero, the value of the fraction is equal to the numerator of the fraction.
Step-by-step explanation:
I took a 2.12 math quiz in K12 and got it 100% Correct! Yes!
Given AC and BD bisect each other at O prove AC is congruent to c
The Value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC Therefore, AC is Congruent to c .
Since AC and BD bisect each other at O, we can say that AO = OC and BO = OD.
We need to prove that AC = CD.To do this, we can use the segment addition postulate which states that if a line segment is divided into two parts, the length of the whole segment is equal to the sum of the lengths of the two parts.
Let us draw a diagram to represent the given information:From the diagram, we can see that:AO + OB = AB (By segment addition postulate)OC + OD = CD (By segment addition postulate)AO = OC (Given)BO = OD (Given)
Now, we can substitute the values of AO and OC as well as BO and OD into the equations above:AO + OB = AB ⇒ OC + OB = AB (Substituting AO = OC)OC + OD = CDNow, we can add both equations:OC + OB + OC + OD = AB + CD ⇒ 2(OC + OD) = AB + CDWe know that OC = AO and OD = BO.
Therefore, we can write:2(AO + BO) = AB + CDSince AO = OC and BO = OD, we can write:2(OA + OD) = AB + CDNow, substituting AO = OC and BO = OD, we can write:2AC = AB + CD
Finally, we can substitute the value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC
Therefore, AC is congruent to c .
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if m<xyz = 58 and m<wxz = 51 find m<wzx
Answer:
m<wzx = 71
Step-by-step explanation:
Assuming these are interior angles of a triangle.
The sum of all three interior angles of a triangle is always 180 degrees, therefore:
m<xyz + m<wxz + m<wzx = 180
Substitute our values:
58 + 51 + m<wzx = 180
m<wzx = 180 - 58 - 51
m<wzx = 71
Suppose the distributor charges the artist a $40.00 cost for distribution, and the streaming services pay $4.00 per unit. (Note: One unit = one thousand streams)
Model the profit for the total number of streams by answering the questions below:
Use the cost for distribution to build your y-intercept. What is the y-intercept?
Hint: the y-intercept is a point on the y axis, so your answer should be an ordered pair.
Hint: you have to keep in mind that any time you pay for something, you are SPENDING money, if your y-intercept is incorrect, all your numbers will be off.
Use the payment per unit to build your slope. What is the slope?
Use the slope-intercept format (y = mx + b) to give the equation of the line. What is the equation of this line?
Graph the line by adjusting the sliders below. Show your line by attaching an image below.
After how many streams will you pay for the distributor charges? (Hint: this is where the line crosses the x-axis, round to the nearest thousand)
How many streams would it take to profit $750,000? (Hint: Remember one unit = one thousand streams)
Challenge Question: In 2020, Puerto Rican rapper Bad Bunny claimed the top spot of most-streamed artists globally on SPOTIFY, with more than 8.3 billion streams (8,300,000,000) this year from fans around the globe. His album YHLQMDLG—released in late February 2020, featuring collaborations with Sech, Anuel AA, and Daddy Yankee—is the number one streamed album as well. Calculate the profit earned using these numbers. (Hint: Use the slope-intercept format to build this equation. Also, remember one unit = one thousand streams).
The question is an illustration of a linear equation
The y-intercept is 40The slope is 4The equation of the line is \(y =4x + 40\)You pay the distributor after 1 chargeYou pay $750,000 for 177.5 streams(a) How to calculate the y-interceptFrom the question, we have the following parameters:
Cost of distribution: $40.00Rate = $4.00 per unitThe cost of distribution represents the y-intercept, while the rate represents the slope.
Hence, the y-intercept is 40
(b) How to calculate the slopeIn (a), we have:
The rate represents the slope.
Hence, the slope is 4
(c) The equation of the lineA linear equation is represented as:
\(y = mx + b\)
Where:
m represents the slopeb represents the y-interceptUsing the results in (a) and (b), the linear equation is:
\(y =4x + 40\)
See attachment for the graph of the equation
(c) The number of streams you pay the distributorFrom the graph, we can see that the line touches the x-axis at the negative x-axis.
This means that, you pay the distributor after 1 charge
(d) The number of streams to pay $750,000This means that: y = 750.
So, we have:
\(y =4x + 40\)
\(750 = 4x + 40\)
Subtract 40 from both sides
\(4x = 710\)
Divide both sides by 4
\(x = 177.5\)
Hence, you pay $750,000 for 177.5 streams
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En una ciudad de 5000 habitantes, la tasa diaria
de infección con un virus de la gripe varia directamente con el producto de
personas infectadas y el número de personas no infectadas. Cuando se han
infectado 1000 personas, la gripe se esparce a razón de 40 nuevos casos por día.
¿Para qué número de personas infectadas, la tasa diaria de infección es la
máxima?
According to the information, the maximum infection rate is: k * 2500 * (5000 - 2500) = 6250k = 40
How to calculate for what number of infected people, the daily infection rate is the maximum?To address this problem, we can use the law of the infection rate, which states that the infection rate is directly proportional to the product of the number of people infected and the number of people not infected. Therefore, we can write:
infection rate = k * (infected people) * (uninfected people)where "k" is a constant of proportionality. Since we want to find the number of people infected that produces the maximum infection rate, we can consider the infection rate as a function of the variable "x" representing the number of people infected. Therefore, we can write:
infection rate = k * x * (5000 - x)To find the value of "x" that maximizes the infection rate, we can derive this function and set the derivative equal to zero:
d(infection rate)/dx = k * (5000 - 2x) = 0This implies that 5000 - 2x = 0, and therefore:
x = 2500Therefore, the number of infected people that produces the maximum daily rate of infection is 2,500.
However, we must verify that this result is consistent with the information given in the problem. We know that when there are 1,000 people infected, the flu spreads at the rate of 40 new cases per day. Therefore, if we add 1,500 more infected people (for a total of 2,500), the infection rate would be:
infection rate = k * 2500 * (5000 - 2500) = 6250kIf the infection rate is 40 new cases per day, we have:
40 = 6250kwhich implies that:
k = 0.0064Therefore, the maximum infection rate is:
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How would the following triangle be classified?
A triangle has three unequal sides. One of the angles formed is 90 degrees; the other two angles are less than 90 degrees.
Answer:
Scalene. A scalene triangle has three different angles and none of its sides are equal in length
Quadrilateral H prime is the image of quadrilateral H after a sequence of transformations. If quadrilateral H prime is congruent to quadrilateral H, which transformations could have been used? a dilation by a scale factor of 2 followed by a reflection a rotation followed by a dilation by a scale factor of One-half a reflection, a translation of 1 unit left, and then a dilation by a scale factor of 3 a translation of 6 units down, a rotation, and then a reflection
9514 1404 393
Answer:
(d) a translation of 6 units down, a rotation, and then a reflection
Step-by-step explanation:
Dilation by any scale factor other than 1 will prevent the original being congruent with its image. The only answer choice with no dilation is the one shown above.
Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard deviation σ=20. Find the probability that a randomly selected adult has an IQ between 93 and 117.
The probability that a randomly selected adult has an IQ between 93 and 117 is approximately 0.6827 or 68.27%.
What is probability?
Probability is a branch of mathematics that deals with the study of random events and their outcomes. It is the measure of the likelihood of an event occurring, expressed as a number between 0 and 1.
To find the probability that a randomly selected adult has an IQ between 93 and 117, we need to standardize the distribution using the z-score formula, and then find the area under the normal distribution curve between those two z-scores.
The z-score formula is:
z = (x - μ) / σ
where x is the IQ score we are interested in, μ is the mean IQ score, and σ is the standard deviation of IQ scores.
For the lower bound of 93, the z-score is:
z = (93 - 105) / 20 = -0.6
For the upper bound of 117, the z-score is:
z = (117 - 105) / 20 = 0.6
Now, we need to find the area under the normal distribution curve between these two z-scores. We can use a standard normal distribution table or a calculator to find this probability. Using a calculator, we can use the normalcdf function:
normalcdf(-0.6, 0.6, 0, 1)
This gives us a probability of 0.6827.
Therefore, the probability that a randomly selected adult has an IQ between 93 and 117 is approximately 0.6827 or 68.27%.
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Doug's Gross Monthly Earnings is $4000. Calculate his net pay (take-home pay) by using the deductions below.
Federal Tax: 12%
State Tax: 3%
Local Tax: 1%
Social Security Tax: 6%
Medicare Tax: 6%
______________________________
= 12% + 3% + 1% + 6% + 6%= 28%= 28% × $4,000 ÷ 100= $1,120= $4,000 - $1,120= $2,880Doug's Net Salary Is $2,880______________________________
a line has a slope of 8 and passes through the points (3, 26) and (-1,-6) what is the equation of the line?
Answer:
Step-by-step explanation:
\(y = mx + b\\\)
We know that \(m\) is going to be 8
All that's left now is to find \(b\)
Let's make a system of equations where we plug in the known values of x and y for each coordinate
\(\left \{ {{-6 = 8(-1) + b} \atop {26 = 8(3) + b}} \right. \\\)
For this system of equations solution, please check the image that's annexed
Now that we know that \(b\) is 2, we can plug that into \(y = 8x+b\) and get
\(y=8x+2\)
We can graphically verify this answer by using a graphing calculator (if you have one) or Desmos (check the other image that's annexed)
Good luck!
What is the slope of the line represented by the values in the table ?
Answer:
2
Step-by-step explanation:
14-(-2)/10-2
14+2/10-2
16/8
2
PLS HELP WILL GIVE BRAINLIEST IVE BEEN ASKING FOREVER :(((((
Answer:
__C) 0.36
Step-by-step explanation:
4÷11= 0.36363636363636
so it's 0.36 with a line over it indicating a repeating decimal
. Where is the vertex of the graph that represents y=(x−2)2−8 ? Type the answers in the boxes below. ( , ) b. Where is the y -intercept? Type the answers in the boxes below.
The vertex of the given equation is (0,12) and (1, -10). The value of y-intercept will be -12.
Given equation :
y=(x−2)2−8
y = 2x - 4 - 8
= 2x - 12
The final equation is y = 2x - 12.
Compare this equation with slope and y-intercept formula :
y = mx+c
So that c = -12
The value of y-intercept according to the solution is -12.
To find the vertex. Let's assume x=0; Substitute in the equation
y = 2(0) -12
y = -12
The first vertex will be (0, -12)
If x = 1; y = 2(1) -12
y = -10
Then the second vertex will be (1, -10).
Hence, the vertex of the given equation is (0,12) and (1, -10). The value of y-intercept will be -12.
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Which of the following sets of ordered pairs represents a function? PLEASE HELP
The set of ordered pairs that represents a function is (D) {(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}.
A set of ordered pairs represents a function if each unique input (x-value) is associated with only one output (y-value).
{(-4, -3), (-2, -1), (-2, 0), (0, -2), (0, 2)}
In this set, both (-2, -1) and (-2, 0) have the same x-value but different y-values. Therefore, this set does not represent a function.
{(-5, -5), (-5, -4), (-5, -3), (-5, -2), (-3,0)}
In this set, all the ordered pairs have the same x-value (-5). Since (-5, -5), (-5, -4), (-5, -3), and (-5, -2) have the same x-value but different y-values, this set does not represent a function.
{(-4, -5), (-4, 0), (-3, -4), (0, -3), (3, -2)}
In this set, (-4, -5) and (-4, 0) have the same x-value but different y-values. Therefore, this set does not represent a function.
{(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}
In this set, each unique x-value is associated with a single y-value. There are no repeated x-values. Therefore, this set represents a function.
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What is the value of this expression when P = 5 and q = -2 -3(p-q)^2
Answer:
-147
Step-by-step explanation:
-3(5--2)^2
-3x7^2
-3x49
-147
for each parallel lines. you are given the measure of one angle
Answer:
The question is not complete
Match each situation to the simulation that represents it.
Answer: rolling aa six sided die- fiona is deciding which forest
selecting a playing card- Athena has to select 1 student
spinning a spinner - Jenny isa picking a marble
Step-by-step explanation:
Answer:
Fiona- Rolling A Six-Sided Die.
Althea- Selecting A Playing Card From
The Hearts Suit.
Jenny-Spinning A Spinner Divided Into
Five Equal Sections