From the information given about the square pyramid, the maximum base length of the building is 67.42 cm.
How do you determine the maximum side length?We are given the following details are:
Base = b
Slant height (l) = 5b
The lateral surface area is calculated using:
L = 2bl
So, we have:
L = 2 * b * 5b
Evaluate the product
L = 10b²
The total surface area is calculated using:
T = L + b²
So, we have:
T = 10b² + b²
Evaluate the sum
T = 11b²
Recall that the maximum surface area is 50,000 square feet
So, we have:
11b² = 50000
Divide both sides by 11
b² = 50000/11
Taking the square root of both sides, we have
b = 67.42
Hence, the maximum base length of the building is 67.42 cm
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I need help plssss I need to pass this
Answer:
the growth factor of the initial amount is correct
The model of a train is 5.5 in. The scale of that
model is 1: 40. What is the actual length of the
train ?
____feet.
The actual length of the train is calculated to be 18.33 feet
How to get the actual length of the trainScale factors are used to increase or decrease image. The situation of increment is usually called enlargement, and it is case for the problem.
solving for the factor, assuming the factor is k, using the ratio 1 : 40. the scale factor is 40 / 1 = 40
Solving for the actual length
actual length = scale facto * model length
actual length = k * 5.5 in
actual length = 40 * 5.5 in
actual length = 220 in
converting to feet
12 in = 1 foot
220 in = ?
cross multiplying
12 * ? = 220
? = 220 / 12
? = 18.33 feet
the actual length of the train is 18.33 feet
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What’s the answer to this
Answer:
see explanation
Step-by-step explanation:
to find the y- intercept, the point where the line crosses the y- axis.
Any point on the y- axis has an x- coordinate of zero.
let x = 0 in the equation and solve for y
- 4(0) + 7 = 2y - 3
0 + 7 = 2y - 3
7 = 2y - 3 ( add 3 to both sides )
10 = 2y ( divide both sides by 2 )
5 = y
then y- intercept = (0, 5 )
to find the x- intercept, the point where the line crosses the x- axis.
Any point on the x- axis has a y- coordinate of zero.
let y = 0 in the equation and solve for x
- 4x + 7 = 2(0) - 3
- 4x + 7 = 0 - 3
- 4x + 7 = - 3 ( subtract 7 from both sides )
- 4x = - 10 ( divide both sides by - 4 )
x = [tex]\frac{-10}{-4}[/tex] = [tex]\frac{10}{4}[/tex] = [tex]\frac{5}{2}[/tex]
then x- intercept = ( [tex]\frac{5}{2}[/tex], 0 ) or (2.5, 0 )
Which expression represents the distance between 4.7 and −11.2 on the number line?
Drag and drop the correct expression into the box.
30 points to answer!
Answer:
Option A or 1 or |-11.2 -4.7|
Step-by-step explanation:
Calculate the distance :
distance =
| 4.7 - (- 11.2) | =
| 4.7 + 11.2 | =
| 15.9 | =
15.9.
Should help
Answer:
|-11.2 -4.7|
Step-by-step explanation:
You want the expression that represents the distance between 4.7 and -11.2 on a number line.
DistanceThe distance on a number line is the positive difference between the coordinates of the points. Here, that would be either of ...
|4.7 -(-11.2)|
or
|-11.2 -4.7| . . . . . . matches an answer choice
__
Additional comment
Note that when we subtract the left coordinate from the right coordinate, the difference is already positive, so no absolute value function is needed.
The conservation club has 32 members. There are 18 girls in the club.
What is the ratio of girls to boys in simplest form?
a.7/9
b.9/7
c.9/16
d.7/16
The requried ratio of boys in the club to girls is given as 7/9 or 7:9. Option A is correct.
What is the Ratio?The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
The conservation club has 32 members. There are 18 girls in the club.
Number of boys = 32 - 18 = 14
Ratio of boys to girls = number of boys / number of girls
= 14 / 18 = 7/9
Thus, the requried ratio of boys in the club to girls is given as 7/9 or 7:9. Option A is correct.
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(m² - +1/2)
n²_
m
1
+2)
(n + 1/1/12 ) " -
(m- // )
n-m
m-n
The proof of the given question is given in the solution as follows
What is a factorization example?A technique for factoring a number or a polynomial is called factorisation. The polynomials are divided into the sums of their component parts. As an illustration, x2 + 2x may be factored as x(x + 2), where x and x+2 are the factors that can be multiplied to obtain the original polynomial.
What are the 5 types of factorization?The six types of factoring are: greatest common factor, difference in two squares, grouping, sum or difference in two cubes, trinomials, and general trinomials.
In the given equation
we separate m2-1/n2 to (a+b)(a-b) form
and hence we get the answer as
(n+1/m)^m-n/(m-1/n)^m-n
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what is negative 3 minus 15
Answer:
-18
Step-by-step explanation:
-3-15=-18
Which is different? Responses Add −4.5 and 3.5 . Add negative 4 point 5 and 3 point 5. What is −4.5 increased by 3.5 ? What is negative 4 point 5 increased by 3 point 5? What is the distance between −4.5 and 3.5 ? What is the distance between negative 4 point 5 and 3 point 5? Find the sum of −4.5 and 3.5 . Find the sum of negative 4 point 5 and 3 point 5. Question 2 Find "both" answers. Answer for the "different" question: Answer for the "same" questions:
The expression that is different from "Add −4.5 and 3.5" will be "What is the distance between negative 4 point 5 and 3 point 5?"
How to illustrate the expression?An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator
In this case, the expression that is different from "Add −4.5 and 3.5" will be "What is the distance between negative 4 point 5 and 3 point 5?" This is because finding the distance simply means:
= -4.5 - 3.5
= -8.0
This is different from the initial value.
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IQ scores are normally distributed with mean mu equals 100 and standard deviation sigma equals 15. Calculate the standard deviation of the sampling distribution using a sample size of 25.
0.6
20.0
3.0
4.0
IQ scores are normally distributed with mean mu equals 100 and standard deviation sigma equals 15. the standard deviation of the sampling distribution is 3.
What is the standard deviation?Generally, The standard deviation of the sampling distribution, also known as the standard error, can be calculated using the formula:
standard error = (standard deviation of population) / (sqrt(sample size)).
In this case, the standard deviation of the population is 15, and the sample size is 25. So the standard error would be:
15 / sqrt(25) = 15 / 5 = 3
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Jenna’s Drama Club is selling tickets at school. Parent tickets cost $6 and student tickets cost $3. Polly hopes to make a minimum of $500 in tickets, selling a maximum of 120 tickets. Write a system of inequalities to represent this context.
Answer:
6p + 3s = 500
p + s = 120
Step-by-step explanation:
p represents the parents and s represents the students
the total amount of tickets should be p and s, hence why they equal 120
The total cost should be 500, and each parent ticket is $6 while each student ticket is $3 hence the 6p and 3s
what is the proportion for y:
11/y=8/5
rounded the to the nearest tenth
The proportion for y is the value 6.9 to the nearest tenth value.
What is Proportion?Proportions are defined as the concept where two or more ratios are set to be equal to each other.
Suppose we have two ratio p : q and r : s. If both these ratios are proportional, then we can write it as p: q : : r : s.
This is same as p : q = r : s or p/q = r/s
Given the proportional relation,
11 / y = 8 / 5
Doing the cross multiplication,
11 × 5 = 8y
55 = 8y
8y = 55
y = 6.875
To the nearest tenth, the value is 6.9.
Hence the y value to the nearest tenth is 6.9
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I need help with this question. I have attached a screenshot of this question.
Answer:
Not a lot of information given but if you are looking for the difference in price it is 31 CHF
It is 31 more CHF in Manchester than in Switzerland.
Step-by-step explanation:
1.55(145) = 224.75
224.75-193.75 = 31
For what value of x is the rational expression below equal to zero? 2-x+x/2+x
I need the slope: (2, 1), (-1,-5), and (3,3)
Please and thank you
Answer: 1/2
Step-by-step explanation:
Slope = Δy/Δx = -3/-6 = 1/2
On Saturday, Carmen works no more than 8 hours at her job. Which inequality represents h, the number of hours Carmen works on Saturday?
The inequality h ≤ 8 represents the number of hours, Carmen works on the job.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given:
On Saturday, Carmen works no more than 8 hours at her job.
Let h be the number of hours, he works on the job.
According to the question,
h ≤ 8.
That means,
Carmen works less than or equals to 8 hours.
Therefore, the inequality is h ≤ 8.
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If the length of each square represents 100 miles, what is the distance between Airport X and Airport Y?
Answer:
Out of all possible choices you've shown, I'd say the best answer would be A
Step-by-step explanation:
Number of pennies in a stack that is 1 ft high
There are 192 pennies in a stack that is 1 ft high.
What is Measurement unit?
A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
Given that;
Stack is 1 feet high.
Now, We know that;
⇒ 1 inch = 16 pennies
And, 1 feet = 12 inches
So, We get;
⇒ 1 ft = 12 inches
= 12 × 16 pennies
= 192 pennies
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The population of Laredo, Texas, was about
215,500 in 2007. It was about 123,000 in 1990. If we
assume that the population growth is constant and t
represents the number of years after 1990, write a
linear equation with an integer slope to estimate p,
Laredo's population for any year since 1990.
Answer:5441 is the population increase per year and 123,000 is when we start added the population increase. to get this equation i found the population increase between 2007 and 1990 which is 215,500-123,000 which is 92,500. to find the population increase per year you divide that by 17 which is the difference between 2007 and 1990 and you would get 5441.176. but since you can have part of a person i rounded it to 5441.
Step-by-step explanation:
Answer:
The linear equation representing the population growth since 1990 is p = 92t + 123000.
Where p is the population, 92 is the growth rate (215500-123000)/(2007-1990), and t is the years after 1990.
Step-by-step explanation:
Is the following data set a time series? If not, explain why. T
ime spent training by workers in a company. Choose the correct answer below. A. No, because the data values are the time spend in training, and are not points in time. B. Yes. C. No, because the data are for each worker, not over time.
No, because the data values are the time spend in training, and are not points in time. (Option - A is correct )
Weather records, economic indicators and patient health evolution metrics — all are time series data. Time series data could also be server metrics, application performance monitoring, network data, sensor data, events, clicks and many other types of analytics data.
variance is NOT a time series component, it refers to the spread of a data set.
The three main types of time series models are moving average, exponential smoothing, and ARIMA. The crucial thing is to choose the right forecasting method as per the characteristics of the time series data.
y(t) = x(t)β + ε(t), where y(t) = {yt;t = 0,±1,±2,...} is a sequence, indexed by the time subscript t, which is a combination of an observable signal sequence x(t) = {xt} and an unobservable white-noise sequence ε(t) = {εt} of independently and identically distributed random variables.
Therefore,
No, because the data values are the time spend in training, and are not points in time. (Option - A is correct )
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A population proportion is 0.30. A random sample of size 150 will be taken and the sample proportion will be used to estimate
the population proportion. Use the z-table.
Round your answers to four decimal places.
a. What is the probability that the sample proportion will be within ±0.03 of the population proportion?
b. What is the probability that the sample proportion will be within ±0.08 of the population proportion?
a. The probability that the sample proportion will be within ±0.03 of the population proportion is 0.6456.
b. The probability that the sample proportion will be within ±0.03 of the population proportion is 1.985.
What is population proportion?
The probability that a specific event will occur in the population is known as the population proportion. It is a parameter, and the sample proportion statistic is used to estimate it. The percentage of occurrences that occur in the sample is known as the sample proportion.
a. The probability that the sample proportion will be within ±0.03 of the population proportion is P(-0.03 < p - P < 0.003).
We Know that z-score of sample proportion is given by:
z = (p - P)/SE(p), where SE(p) represents standard error.
⇒SE(p) = √(0.3 * 0.7)/200
⇒SE(p) = √0.00105
⇒SE(p) = 0.0324
Now, using the z score, the probability P(-0.03 < p - P < 0.003) is computed as follows:
P(-0.03 < p - P < 0.003) = P(-0.03/SE(p) < p - P/SE(p) < 0.003/SE(p))
= P(-0.03/0.0324 < Z < 0.003/0.0324)
= P(−0.925926 < Z < 0.925926)
= 2P(0 < Z < 0.925926)
P(0 < Z < 0.925926) = 0.3228 (Using standard table)
So,
2P(0 < Z < 0.925926) = 2*0.3228 = 0.6456
Hence, the probability that the sample proportion will be within ±0.03 the population proportion is 0.6456.
b. The probability that the sample proportion will be within ±0.03 of the population proportion is P(-0.08 < p - P < 0.008).
Also, SE(p) = 0.0324
Now, using z score,
P(-0.08 < p - P < 0.008) = P(-0.08/SE(p) < p - P/SE(p) < 0.008/SE(p))
= P(-0.08/0.0324 < Z < 0.008/0.0324)
= P(−2.469135 < Z < 2.469135)
= 2P(0 < Z < 2.469135)
P(0 < Z < 2.469135) = 0.9925 (Using standard table)
So,
2P(0 < Z < 2.469135) = 2*0.9925 = 1.985
Hence, the probability that the sample proportion will be within ±0.03 of the population proportion is 1.985.
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Given: AC¯≅BD¯;AC¯⊥BD¯
1) Is the Parellelogram a square? ___
WRITE THE NUMBER OF THE THEOREMS THAT SUPPORT YOUR ANSWER:
2) AC¯≅BD¯ Theorem? ____
3) AC¯⊥BD¯ Theorem? _____
For the Given Parallelogram: AC¯≅BD¯;AC¯⊥BD¯
The Parallelogram is not a square, the answer is no. AC¯≅BD¯ Theorem - Corresponding sides of congruent figures are congruent (CPCTC).AC¯⊥BD¯ Theorem - opposite angles of a parallelogram are supplementary (Parallelogram Opposite angles Theorem).What is the theorem of the parallelogram?The parallelogram is not a square because the statement "AC¯≅BD¯;AC¯⊥BD¯" means that opposite sides of the parallelogram are congruent and perpendicular but it's not enough to say that the parallelogram is a square, In a square, all four sides are congruent, and the diagonal bisect each other at right angles.
For the first Theorem, AC¯≅BD¯, congruent figures' corresponding sides are congruent(CPCTC) while the AC¯⊥BD¯ Theorem have opposite angles of a parallelogram that is useful (Parallelogram Opposite angles Theorem).
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Using any method(s), solve Angle K H P when h = 16.1, p = 24.9 and k = 12.8 (trigonometry)
The angles of the triangle KHP are P ≈ 118.555°, H ≈ 34.614°, K ≈ 26.844°, respectively.
How to determine the measures of missing angles in a triangleHere we have the case of a triangle where the lengths of three sides are known and measures of angles must be determined. The missing angles can be found by means of law of cosine, whose equations related to the triangle are introduced below;
p² = h² + k² - 2 · h · k · cos P
h² = p² + k² - 2 · p · k · cos H
k² = h² + p² - 2 · h · p · cos K
Given;
h, k, p - Sides
H, K, P - Angles
If we know that h = 16.1, p = 24.9 and k = 12.8, then the measures of the angles are;
cos P = (p² - h² - k²) / (- 2 · h · k)
cos P = (24.9² - 16.1² - 12.8²) / (- 2 · 16.1 · 12.8)
cos P = - 0.478
P ≈ 118.555°
cos H = (h² - p² - k²) / (- 2 · p · k)
cos H = (16.1² - 24.9² - 12.8²) / (- 2 · 24.9 · 12.8)
cos H = 0.823
H ≈ 34.614°
cos K = (k² - h² - p²) / (- 2 · h · p)
cos K = (12.8² - 16.1² - 24.9²) / (- 2 · 16.1 · 24.9)
cos K = 0.892
K ≈ 26.844°
Triangle KHP has the following missing angles: P ≈ 118.555°, H ≈ 34.614°, K ≈ 26.844°;
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Tabitha is working at a Honda dealership. She will receive 6% commission for each automobile she sells. If she sells 3 cars this week (for $23,000, $13,800, and $25, 760), how much will her commission be?
Answer:
Tabitha's commission would be 6% of the total sales from the three cars
Step-by-step explanation:
which is $(23,000 + 13,800 + 25,760) * 0.06 = $3,638.40
13
Write as a mixed number.
3
Answer: 4 1/3
Step-by-step explanation:
(12 + 1) 3 = 12 3 + 1 3 = 4 + 1 3 = 4 1 3 13 3 = 4 1 3 Hence, 13/3 as a mixed number is 4 1/3
What is the ⌊4.5⌋ ? Question 1 options: 4.5, 4, 5, 3
Answer: 4.5
Step-by-step explanation: Those bars are absolute value. Hope it helps, please mark brainliest and give your thanks.
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The expression of the weight carried by x hikers is x (3.4 + 4.6 + 2.2).
The weight carried by each hiker is 10.2 lb.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Three items are given.
The weight of each items are 3.4 lb, 4.6 lb, and 2.2 lb.
Now,
The total weight of all the items.
= 3.4 + 4.6 + 2.2
= 10.2 lb
The weight carried by x hikers.
= x (3.4 + 4.6 + 2.2)
= 10.2x lb
The weight carried by each hikers.
= 3.4 + 4.6 + 2.2
= 10.2 lb
Thus,
Weight carried by x hikers is 10.2x lb.
Weight carried by each hiker is 10.2 lb.
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determine whether the graphs of each pair of equations are parallel, perpendicular, or neither.
3x+5y=10
5y-3y=-6
The lines are perpendicular
What is slope-intercept?
The slope-intercept form of a linear equation is a way of writing the equation of a line in the form y = mx + b, where m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis).
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y- intercept )
3x + 5y = 10 ( subtract 3x from both sides )
5y = - 3x + 10 ( divide through by 5 )
y = - x + 2 ← in slope- intercept form
with slope m = -
---------------------------
5x - 3y = - 6 ( subtract 5x from both sides )
- 3y = - 5x - 6 ( divide through by - 3 )
y = x + 2 ← in slope-intercept form
with slope m =
---------------------------
• Parallel lines have equal slopes
clearly, the lines are not parallel
• the product of the slopes of perpendicular lines equals - 1
- × = - 1
thus the 2 lines are perpendicular to each other
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The value of information is directly linked to how it helps decision makers achieve the organization's goals.
The value of information is directly related to how it assists decision makers in achieving the goals of the company. -Differentiate data from information and define the features used to assess data quality.
The value of information in decision analysis is the improvement in the consequences of our actions that we would expect if we could minimise or remove uncertainty before making a choice.
The value of information is determined by the influence of a choice on achieving the organization's goals and enhancing its profit-ability.
Management information systems give information on the organization's relative position and the underlying factors at work. It offers the necessary information for decision making and assists businesses in carrying out their control, planning, and operational activities successfully.
The interaction between information systems and decision making is a major problem in the subject of information systems (IS).
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Which facts could be applied to simplify this expression? Select three options. (Negative 5 x minus 3 y) minus (negative x minus 3 z) Group of answer choices The simplified expression is Negative 4 x minus 3 y + 3 z. Negative (negative x) is equivalent to Negative x, so Negative 5 x minus x = negative 6 x. Like terms are terms that contain the same variable, raised to the same power. To subtract like terms, subtract the coefficients, not the variables. The simplified expression is Negative 6 x minus 3 y + 3 z.
a. To subtract like terms, subtract the coefficients, not the variables b. Like terms are terms that contain the same variable e. Negative (negative x) is equivalent to Negative x, so Negative 5 x minus x = negative 6 x.
Why is it so?The expression can be made simpler by using these facts.
We may take the coefficients of the similar terms, which are x and -x, out using fact a. In this instance, the expression is simplified to read as Negative 5 x minus x = Negative 6 x.
According to fact b, terms that have the same variable raised to the same power are referred to as being like terms. As we can see, there are two like terms—Negative y and -2y—in this situation that can be joined. The similar terms' coefficients, which are -1 and -2, can be added. The total is y-3.
Negative (negative x) is equal to negative x, according to Fact e. We can see that Negative 5 x is Negative (negative x) in this situation and can be reduced to Negative 6 x.
Therefore, Negative 6 x -3 y + 3 z would be the abbreviated expression.
Due to the fact that fact C's computation does not use the same simplified formulation as the other facts, it is important to note that fact C is incorrect.
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Find the area of the trapezoid. HELP PLS
Answer:
27 cm^2
Step-by-step explanation:
The formula for finding area of trapezoid:
[tex] \frac{a + b}{2} \times h[/tex]
a and b are bases, h is height[tex] \frac{6 + 12}{2} \times 3 = 27[/tex]
The area is put in square cmSo the answer is 27 cm^2