The areas of the square pyramid are the amount of space on it
The lateral surface area is 307.2 square cmThe total surface area is 451.2 square cmHow to determine the lateral surface area?The given parameters are:
Base (b) = 12 cm
Slant height (l) = 12.8 cm
The lateral surface area is calculated using:
L = 2bl
So, we have:
L = 2 * 12 * 12.8
Evaluate the product
L = 307.2
How to determine the total surface area?This is calculated using:
T = L + b^2
So, we have:
T = 307.2 + 12^2
Evaluate
T = 451.2
Hence, the total surface area is 451.2 square cm
Read more about areas at:
https://brainly.com/question/24487155
a formula in the form y=mx+b models the cost, y, of four-year college x years after 2010. would you expect m to be positive, negative, or zero? explai your answer
we would expect m to be positive.
In this case, we're considering a formula of the form y = mx + b, where y represents the cost of a four-year college x years after 2010. The variable m represents the coefficient of x, which determines the slope of the line.
Since we're discussing the cost of college, it's reasonable to expect that it generally increases over time. Therefore, we would expect the coefficient m to be positive. A positive value of m indicates that as the number of years after 2010 increases (x), the cost of college (y) will also increase.
If m were negative, it would imply a decreasing cost over time, which is less likely for a four-year college. If m were zero, it would indicate that the cost remains constant regardless of the number of years after 2010, which is also unlikely given the rising trend in college costs.
For more questions on variables
https://brainly.com/question/27894163
#SPJ8
I need this help me please
Answer:
I think its B
Step-by-step explanation:
A penguin walks 10 feet in 6 seconds. How far does he walk in 45 seconds?
6. The height of Martin's rectangular door is 8
inches more than 3 times the width. If w
represents the width of the door, write an
expression
to represent the area of the door.
The expression that represents the area of the given door is (3w+8)w.
What are expressions?A finite collection of symbols that are properly created in line with context-dependent criteria is referred to as an expression, sometimes known as a mathematical expression.
A mathematical expression is made up of a statement, at least two integers or variables, and one or more arithmetic operations.
This mathematical operation enables the multiplication, division, addition, or subtraction of numbers. The following is the structure of an expression: Expression: (Number/Variable, Math Operator, Math Operator)
So, we know that:
width = w
And we also know that:
length = 3w + 8
Now, the area formula is:
l*w
Insert values as follows:
l*w
(3w + 8)w
Therefore, the expression that represents the area of the given door is (3w+8)w.
Know more about expressions here:
https://brainly.com/question/1859113
#SPJ9
2. Suppose the price of good x increased from 4 birr to 5 birr. Because of change price of good x, quantity demand of good y changed from 5,000 to 6,250. a. Find cross price elasticity of demand b. What types of goods (good x and good y) are?
Based on the cross-price elasticity of Demand, we can conclude that good X and good Y are substitutes.
Let's calculate the cross-price elasticity of demand using the given information:
a. Find the percentage change in quantity demanded of good Y:
Percentage Change in Quantity Demanded of Good Y = (New Quantity Demanded - Initial Quantity Demanded) / Initial Quantity Demanded * 100
Percentage Change in Quantity Demanded of Good Y = (6250 - 5000) / 5000 * 100 = 25%
b. Find the percentage change in the price of good X:
Percentage Change in Price of Good X = (New Price - Initial Price) / Initial Price * 100
Percentage Change in Price of Good X = (5 - 4) / 4 * 100 = 25%
Now, we can calculate the cross-price elasticity of demand:
Cross-Price Elasticity of Demand = Percentage Change in Quantity Demanded of Good Y / Percentage Change in Price of Good X
Cross-Price Elasticity of Demand = 25% / 25% = 1
b. Based on the calculated cross-price elasticity of demand, we can determine the types of goods:
If the cross-price elasticity of demand is positive (as in this case, where it is 1), it indicates that the two goods are substitutes. This means that when the price of good X increases, the quantity demanded of good Y also increases, suggesting that consumers view these goods as alternatives to each other.
Therefore, based on the cross-price elasticity of demand, we can conclude that good X and good Y are substitutes.
For more questions on Demand.
https://brainly.com/question/14274996
#SPJ8
Answer:
Step-by-step explanation:
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
can you send a better picture of the question so it can be clearer
Step-by-step explanation:
Show ur work I need help with 8 and 11
if you could help that would be greatly appreciated
Answer: search
Step-by-step explanation: look up the question on your browser and the answer will pop up
Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question. Listed below are the amounts (dollars) it costs for marriage proposal packages at different sports venues. Are there any outliers? 39 50 50 55 55 55 65 85 100 125 175 175 200 209 250 250 325 400 425 500 500 500 500 1500 2500
Answer:
Step-by-step explanation:
(a) Mean = (39+50+50+55+55+55+65+85+100+125+175+175+200+
209+250+250+325+400+425+500+500+500+500+1500+2500) ÷ (25)
= (9088) ÷ (25)
= 363.52
The mean of the data is 363.52
(b) Given: 39, 50, 50, 55, 55, 55, 65, 85, 100, 125, 175, 175, 200, 209, 250, 250, 325, 400, 425, 500, 500, 500, 500, 1500, 2500.
the median value is 200.
(c) The mode is the value with highest frequency. The mode is 500.
(d) Mid range = \(\frac{39+2500}{2} \\\)
= 1269.5
An outlier is a value that is significantly different from other values in the data, thus affects the mean considerably. Yes, 2500 is the outlier.
A shipping company charges based on calculations of the volume of a rectangular box and the sum of the dimensions of the box. A square rectangular prism has a side length represented by the linear function f(x), and a height represented by the linear function g(x). Which statement describes the combined functions V(x) and S(x)? The volume function is linear but the sum function is not. The sum function is linear but the volume function is not. Both the volume function and the sum function are linear. Neither the volume function nor the sum function is linear.
The statement that describes the combined functions V(x) and S(x) is B. The sum function is linear but the volume function is not.
How to illustrate the information?It should be noted that we are given that f(x) and g(x) are linear. Due to this, the sum function S(x) is linear.
And we know the shape of our figure, so we just need to multiply the dimensions for V(x) but the product of three linear functions results in a cubic function, and we conclude V(x) is not linear.
Therefore, the statement that describes the combined functions V(x) and S(x) is that the sum function is linear but the volume function is not.
In conclusion, the correct option is B.
Learn more about volume on:
https://brainly.com/question/12700275
#SPJ1
You're at the aquarium, staring into a large exhibit, when you look to your left and slightly downward and you see a jellyfish. You notice that the jellyfish body looks like a very wide, upside-down parabola. What is a possible equation that models the jellyfish, assuming your eyes are at (0, 0)?
a) -2(x + 3)2 + 4
b) -3(x - 2)2 - 1
c) -25(x + 1)2 - 5 .
d) 3(x-4)2 + 2
e) Answer is not there
Step-by-step explanation:
c is an upside down parabola but it is not wide, it is very then so maybe e?
The graph below shows the hours students spent studying and their language arts test scores.
Hours Spent Studying vs. Language Arts Test Scores
100 x
Language Arts Test Scores
882889889
90
80
70
50
40
30
20
10
0.5 1 1.5 2 2.5 3 3.5 4 4.5
Hours Spent Studying
0.5
X8
+
Based on trend line on the graph, what is the expected test score for a student who did not study?
X
According to the question the expected test score for a student who did not study is 45.
What is test score?Test score is a measure of a person's performance on a specific test. It is usually a numerical score that is used to compare a person's performance to other people's performance. Test scores are often used to determine eligibility for college admissions, job placement, and other opportunities. Test scores can also be used to assess a person's knowledge and skills in a certain area. Test scores can be used to help identify areas for improvement, as well as to recognize strengths.
The equation of the line is y = 16x + 40.
Therefore, for x = 0.5, y = 16(0.5) + 40 = 45.
Therefore, the expected test score for a student who did not study is 45.
To learn more about test score
https://brainly.com/question/12580094
#SPJ1
Complete Question:
The graph below shows the hours students spent studying and their language arts test scores.
Hours Spent Studying vs. Language Arts Test Scores
A graph has hours spent studying on the x-axis and language arts test scores on the y-axis. A line goes through points (2.5, 60) and (5, 80).
Based on trend line on the graph, what is the expected test score for a student who did not study?
0.5
8
40
45
Which error was hardest to find?
Answer:
May I ask what error are we talking ab?
Step-by-step explanation:
8. What is the lateral area of the cone?
Answer:
\(190.07 \: {yd}^{2} \)Option D is the correct option.
Step-by-step explanation:
Diameter (d) = 10 yd
Radius(r) = 10/2 = 5 yd
Slant height (l)= 12.1 yd
We know,
Lateral surface area of cone:
\(\pi \: r \: l\)
\( = 3.14 \times 5 \times 12.1\)
\( = 189.97 \: {yd}^{2} \)
which is nearly 190.07 square yards.
Hope this helps...
Good luck on your assignment..
Answer:
\(190.07 {yd}^{2} \)
Step-by-step explanation:
\(lateral \: \: area \\ = \pi \: rl \\ = 3.14 \times 5 \times 12.1 \\ = 189.97\)
189.97 square yards which is nearly 190.07 square yards
pls help!!
Q:In a random sample, 8 students were asked how long it takes them to get ready for school in the morning. The times are listed below, compute the following:
22 29 21 24 27 28 25 36
Range:
Variance:
Std Deviation:
The required statistical parameters has been computed as follows:
Range = 15.
Standard deviation, SD = 4.4441.
Variance = 19.75.
How to calculate the range?Mathematically, the range of a data set can be calculated by using this formula;
Range = Highest number - Lowest number
Range = 36 - 21
Range = 15.
How to calculate the mean?Mathematically, the mean for these data sets would be calculated by using this formula:
Mean = [F(x)]/n
F(x) = 22 + 29 + 21 + 24 + 27 + 28 + 25 + 36
F(x) = 212.
Mean = 212/8
Mean = 26.5
Next, we would calculate the standard deviation by using this formula:
SD = √(1/n × ∑(xi - u₁)²)
SD = √(1/5 × ∑(22 - 26.5)² + 1/5 × ∑(29 - 26.5)² + 1/5 × ∑(21 - 26.5)² + 1/5 × ∑(24 - 26.5)² + 1/5 × ∑(27 - 26.5)² + 1/5 × ∑(28 - 26.5)² + 1/5 × ∑(25 - 26.5)² + + 1/5 × ∑(36 - 26.5)²)
Standard deviation, SD = 4.4441.
In Statistics, the standard deviation of a data sample is the square root of the variance and this is given by this mathematical expression:
Variance = δ²
Variance = 4.4441²
Variance = 19.75.
Read more on variance here: https://brainly.com/question/26355894
#SPJ1
Integrate ∫2tan(2x+π)dx
Answer:
\(\displaystyle \int {2 \tan (2x + \pi)} \, dx = - \ln \big| \cos (2x + \pi) \big| + C\)
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: \(\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)\)
Derivative Property [Addition/Subtraction]: \(\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]\)
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Integration
IntegralsIndefinite IntegralsIntegration Constant CIntegration Property [Multiplied Constant]: \(\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx\)
U-Substitution
Trigonometric Integration
Step-by-step explanation:
Step 1: Define
Identify.
\(\displaystyle \int {2 \tan (2x + \pi)} \, dx\)
Step 2: Integrate Pt. 1
[Integral] Rewrite [Integration Property - Multiplied Constant]: \(\displaystyle \int {2 \tan (2x + \pi)} \, dx = 2 \int {\tan (2x + \pi)} \, dx\)Step 3: Integrate Pt. 2
Identify variables for u-substitution.
Set u: \(\displaystyle u = 2x + \pi\)[u] Differentiate [Derivative Properties]: \(\displaystyle du = 2 \ dx\)Step 4: Integrate Pt. 3
[Integral] Rewrite [Integration Property - Multiplied Constant]: \(\displaystyle \int {2 \tan (2x + \pi)} \, dx = \frac{2}{2} \int {2 \tan (2x + \pi)} \, dx\)[Integral] U-Substitution: \(\displaystyle \int {2 \tan (2x + \pi)} \, dx = \frac{2}{2} \int {\tan u} \, du\)Simplify: \(\displaystyle \int {2 \tan (2x + \pi)} \, dx = \int {\tan u} \, du\)[Integral] Trigonometric Substitution: \(\displaystyle \int {2 \tan (2x + \pi)} \, dx = - \ln \big| \cos u \big| + C\)[u] Back-Substitute: \(\displaystyle \int {2 \tan (2x + \pi)} \, dx = - \ln \big| \cos (2x + \pi) \big| + C\)Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Un profesor de Enseñanza Básica le indica a sus alumnos que escojan tres dígitos
diferentes del conjunto {1, 2, 3, 4, 5} y formen números mixtos colocando los dígitos
en el casillero . También les recuerda que la parte fraccionaria tiene que ser
menor que 1, por ejemplo
2
3
5
. ¿Cuál es la diferencia entre el mayor y el menor de los
números mixtos que se pueden formar?
Enseñanza Básica is the term used to describe the first level of education in the Chilean education system, which includes the first to eighth grades. A teacher of Enseñanza Básica asked his students to choose three-digit mixed numbers that can be formed.
A mixed number is a number that has both a whole number and a fraction component. To form three-digit mixed numbers, we need to have a whole number that is less than 100 and a proper fraction that has a denominator less than or equal to 99. Here are some examples:123 4/567 2/8109 1/2382 3/47There are a total of 900 three-digit numbers that can be formed using digits 1 to 9 without repetition. To find the number of three-digit mixed numbers that can be formed, we need to count the number of ways we can choose a proper fraction with a denominator less than or equal to 99. There are 99 possible denominators, and for each denominator, there are 98 possible numerators (excluding 0 and the denominator itself). Therefore, the total number of three-digit mixed numbers that can be formed is:900 x 99 x 98 = 8,334,600There are 8,334,600 three-digit mixed numbers that can be formed using digits 1 to 9 without repetition.For such more question on fraction
https://brainly.com/question/78672
#SPJ8
The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.
How to solveThe three digits different from {1, 2, 3, 4, 5} can be chosen from {0, 6, 7, 8, 9}.
The greatest mixed number is formed by placing the largest digit as the whole number and the remaining two digits as the fraction in descending order, i.e., 9 87/100 or 9.87.
The smallest mixed number is formed by placing the smallest non-zero digit as the whole number and the remaining two digits as the fraction in ascending order, i.e., 6 07/90 or 6.0789.
The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.
Read more about algebra here:
https://brainly.com/question/4344214
#SPJ1
The Question in English
A Basic Education teacher tells his students to choose three digits
different from the set {1, 2, 3, 4, 5} and form mixed numbers by placing the digits
in the locker It also reminds them that the fractional part has to be
less than 1, for example
2
3
5
. What is the difference between the greatest and the least of the
mixed numbers that can be formed?
Complete this sequence of numbers such that the difference between any two adjacent numbers is the same : 3/k, _, _, 9/2k.
The completed sequence is: 3/k, 3/k, 3/k, 9/2k.To complete the sequence of numbers with a constant difference between adjacent numbers, we can calculate the common difference by subtracting the first term from the second term.
Let's denote the missing terms as A and B.
The given sequence is: 3/k, A, B, 9/2k.
The common difference can be found by subtracting 3/k from A or B. Therefore:
A - 3/k = B - A = 9/2k - B.
To simplify, we can equate the two expressions for the common difference:
A - 3/k = 9/2k - B.
Next, we can solve for A and B using this equation.
Adding 3/k to both sides gives:
A = 3/k + 9/2k - B.
Now, we can substitute the value of A into the equation:
3/k + 9/2k - B - 3/k = 9/2k - B.
Simplifying further, we have:
9/2k - 3/k = 9/2k - B.
Cancelling out the common terms, we find:
-3/k = -B.
Multiplying both sides by -1, we get:
3/k = B.
For more such questions on Adjacent numbers:
https://brainly.com/question/28207765
#SPJ8
1) The membership fee of Math Club is P25. What is the total amount
paid by 1,252 members?
A. P 31,250
B. P 31,252
C. P 31,230
Answer:
it's actually none of those the answer I have is p 31,300
24. Name a point on ∠MNO
Only point Q is on the ∠MNO because when we connect the point M and O then point R lies outside the ∠MNO. Only point Q remains inside.
In the given question we have to name a point on ∠MNO.
As we know that;
Evaluating the number of points in the curve of the triangle's vertices that are close to the location in question is the easiest method for determining whether a point is inside a triangle. The point on the curve is inside the triangle if it has three points; if it has four, it is outside the triangle.
When we check in the graph then only point Q is on the ∠MNO because when we connect the point M and O then point R lies outside the ∠MNO. Only point Q remains inside.
To learn more about point on the curve link is here
brainly.com/question/28715687
#SPJ4
Which of the following are factor pairs for 54?select all that apply.
Answer:
The Pair Factors of 54 are (1, 54), (2, 27), (3, 18), and (6, 9) and its Prime Factors are 1, 2, 3, 6, 9, 18, 27, 54.
Step-by-step explanation:
hope this helped:)
brainliest for the brains........................
The Pair Factors of 54 are (1, 54), (2, 27), (3, 18), and (6, 9) and its Prime Factors are 1, 2, 3, 6, 9, 18, 27, 54.
Here, we have,
The factors of 54 are the numbers, that can divide 54 completely or evenly. When a pair of factors are multiplied together to produce the 54, then they are said to be pair factors. The factors divide the number completely. Hence, these factors cannot be a fraction.
Factors of 54: 1,2,3,6,9,18,27 and 54
Factor pairs of the number 54 are the whole numbers which are not a fraction or decimal number.
To find the factors of a number, 54, we will use the factorization method.
To find factors of 54, we have to divide 54 by all natural numbers from 1 to 54.
54 ÷ 1 = 54
54 ÷ 2 = 27
54 ÷ 3 = 18
54 ÷ 6 = 9
To learn more on division click:
brainly.com/question/21416852
#SPJ6
6. (01.03 MC)
The dotplot below shows the number of hours of sleep preferred by 25 patients chosen randomly in a particular medical office. Describe the shape of the distribution
SAVES
Answer: Skewed left, no outlier
Step-by-step explanation: You use the IQR and quartile 1&3 to find the number that defines an outlier. And for this one there are none
The variables x and y vary directly. Use the given x and y values to write an inverse variation equation and find x given that x = 12 . Enter any fractional answers in the form 1/2.
x = 3 ; y = 15
k =
y =
The variables x and y vary directly. Use the given x and y values to write an inverse variation equation and find x given that x = 12. Thus,
y = 15/4
k = 45
This can be solved by simplification.
What is simplification?To simplify simply is to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.
As we know,
y = k/x
now, putting the values, we get:
15 = k/3
or, k = 45
thus, y = k/x becomes:
y = 45/x
next in the question statement given x = 12
thus, y = 45/12
y = 15/4
So, y = 15/4
k = 45
To know more about variables refer to:
https://brainly.com/question/25223322
#SPJ1
Circle X is shown in the diagram.
Circle X is shown. 2 chords intersect at a point to form arcs a and b. Arc a is intercepted by angle 1. Arc b is intercepted by angle 2. Arcs d and c are the other 2 arcs.
Which equation can be used to solve for m∠1?
m∠1 = One-half(a – b)
m∠1 = One-half(a + b)
m∠1 = One-half(c – d)
m∠1 = One-half(c + d)
Answer:
The equation that can be used to solve for m∠1 is:
m∠1 = One-half(a – b)
This is because angle 1 intercepts arc a, which has a measure of a. By the same token, angle 2 intercepts arc b, which has a measure of b. The sum of the measures of angles 1 and 2 is equal to the measure of the angle formed by the two intersecting chords, which is one-half the sum of the measures of arcs a and b. Therefore, we have:
m∠1 + m∠2 = One-half(a + b)
Since m∠2 is not given, we cannot solve for m∠1 using this equation. However, we can use the fact that the sum of the measures of the angles in a triangle is 180 degrees to get:
m∠1 + m∠2 + m∠3 = 180
where m∠3 is the measure of the angle formed by the two chords outside the circle. Since this angle is supplementary to angle 1, we have:
m∠1 + m∠3 = 180
Substituting the equation for the sum of the measures of angles 1 and 2, we get:
m∠1 + One-half(a + b) = 180
Solving for m∠1, we get:
m∠1 = 180 - One-half(a + b) = One-half(360 - a - b) = One-half(a - b)
Question 5 Multiple Choice Worth 1 points)
(01.03 MC)
Bunny Hill Ski Resort charges $35 for ski rental and $10 an hour to ski. Black Diamond Ski Resort charges $40 for ski rental and $5 an hour to ski. Create an equation to determine at what point
the cost of both ski slopes is the same.
Answer:
Bunny Hill Ski Resort:
y = 10x + 35
Diamond Ski Resort:
y = 5x + 40
Point where the cost is the same:
(1, 45)
Step-by-step explanation:
The question tells us that:
$35 and $40 are initial fees
$10 and $5 are hourly fees
This means that x and y will equal:
x = number of hours
y = total cost of ski rental after a number of hours
So we can form these 2 equations:
y = 10x + 35
y = 5x + 40
Now we are going to use System of Equations to find what point the cost of both ski slopes is the same.
Because they both equal y, we can set the equations equal to each other:
10x + 35 = 5x + 40
And we use basic algebra to solve for x:
10x + 35 = 5x + 40
(subtract 5x from both sides)
5x + 35 = 40
(subtract 35 from both sides)
5x = 5
(divide both sides by 5)
x = 1
Remember, x equals the number of hours.
That means when your rent out the skis for 1 hour, you will get the same price of $45 (you find the price by plugging in 1 into both of the equations)
Hope it helps (●'◡'●)
Steve is turning half of his backyard into a chicken pen. His backyard is a 24 meter by 45 m rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner.
How many meters of fencing will Steve need?
Answer: 12 is the awnser
Step-by-step explanation: simple math.
what is the mode of the following data 1,2,1,1,3,2,2,2
Answer:
2
Step-by-step explanation:
the mode is the one that appears the most, most common one
Answer:
2
Step-by-step explanation:
mode means the most common number in the set.
I hope this helps....
Find the x- and y-intercepts of the graph of each equation.
y= 10-2x
x-intercept?
Write your answer in the following format:
(x,y)
with no spaces.
Answer:
X intercept is (5,0)
y intercept is (0,10)
Question 12
The average mass of Jeremy, Mark and Zack is 28 kg. If Jeremy and Zack's average mass is
29kg. How heavy is Mark?
Answer:
Mark's mass is 26 kg.
Step-by-step explanation:
Average mass of Jeremy, Mark and Zack = 28kg
Average mass of Jeremy and Zack = 29 kg
Let,
Jeremy's mass = x
Mark's mass = y
Zack's mass = z
Average of three of them = \(\frac{Jeremy's mass + Mark's + Zack's}{3}\)
28 = \(\frac{x+y+z}{3}\\\)
\(28*3 = x+y+z\\84 = x+y+z\)
x+y+z = 84 Eqn 1
\(29 =\frac{x+z}{2}\\58=x+z\\\)
x+z = 58 Eqn 2
Now putting value of x+z from Eqn 2 in Eqn 1
x + z + y = 84
58 + y = 84
y = 84 - 58
y = 26
Thereofore,
Mark's mass is 26 kg.
HELP PLEASE whats the number for this answer?
ASAP
Answer:
68°
Step-by-step explanation:
Total angle in a quadrant = 90°
x + 22° = 90°
x = 90 - 22
x = 68°