Answer:
16
Step-by-step explanation:
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition SubtractionStep 1: Write expression
8/2(2 + 2)
Step 2: Evaluate
Parenthesis (add): 8/2(4)Divide: 4(4)Multiply: 16question is attached!
the figure at the right was made with 4 triangles. an architect made a long figure like this using 70 triangles. each side of each triangle is 1 meter long. what is the perimeter of the figure made with 70 triangles
To find the perimeter of the figure made with 70 triangles, we need to first find the perimeter of one triangle and then multiply it by 70. Since each side of each triangle is 1 meter long, the perimeter of one triangle is 3 meters (1+1+1).
Therefore, the perimeter of the figure made with 70 triangles is 70 multiplied by 3, which equals 210 meters.
The original figure consists of 4 triangles, which means the perimeter is the sum of the lengths of the 12 sides of those triangles, each with a length of 1 meter. Therefore, the perimeter of the original figure is 12 meters.
To find the perimeter of the figure made with 70 triangles, we can use the fact that each additional row of triangles adds 3 meters to the perimeter. Since the original figure has 4 triangles and the long figure has 70 triangles, there are 66 additional rows of triangles. Therefore, the perimeter of the long figure is:
12 meters + (66 rows x 3 meters/row) = 12 meters + 198 meters = 210 meters.
Thus, the perimeter of the figure made with 70 triangles is 210 meters.
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5 On the first day of school, you notice a few patches of fungus on the leaves of the pumpkin
vines in your garden. You estimate the area covered by the fungus and find that the patches
cover about 1 cm2 Suppose that the leaf area covered by this kind of fungus quadruples (4x)
every day.
Answer:
Step-by-step explanation:
it xhkr pls
which of the following statements is NOT true?
A. the ratios of the vertical rise to the horizontal run of any two distinct nonvertical parallel lines must be equal.
B. if two distinct nonvertical lines are parallel, then two lines must have the same slope.
C. Given two distinct lines in the cartesian plane, the two lines will either intersect of they will be parallel
D. Given any two distinct lines in the cartesian plane, the two liens will either be parallel or perpendicular
The statement "D. Given any two distinct lines in the Cartesian plane, the two lines will either be parallel or perpendicular" is NOT true.
A. The statement is true. The ratios of the vertical rise to the horizontal run, also known as the slopes, of any two distinct nonvertical parallel lines are equal. This is one of the properties of parallel lines.
B. The statement is true. If two distinct nonvertical lines are parallel, then they have the same slope. Parallel lines have the same steepness or rate of change.
C. The statement is true. Given two distinct lines in the Cartesian plane, the two lines will either intersect at a point or they will be parallel and never intersect. These are the two possible scenarios for distinct lines in the Cartesian plane.
D. The statement is NOT true. Given any two distinct lines in the Cartesian plane, they may or may not be parallel or perpendicular. It is possible for two distinct lines to have neither parallel nor perpendicular relationship. For example, two lines that have different slopes and do not intersect or two lines that intersect but are not perpendicular to each other.
Therefore, the statement "D. Given any two distinct lines in the Cartesian plane, the two lines will either be parallel or perpendicular" is the one that is NOT true.
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Please help!
I need it like ASAP!!
Thank you so much though
Represent as an expression. Eric eats 3 times as many cookies (c) as his best friend plus 5 additional cookies.
I will mark you brainiest if you can answer this
Answer:
I believe it's eighteen.
Step-by-step explanation:
2. Supposed the prevalence of Sudden infant death syndrome (SIDS) is 0.01%. At a local Maternity hospital 3 of the 100 newborn infants died of SIDS following birth. a. What is the probability of 3 dying of SIDS in this situation? b. In this situation would you find it alarming that this many died or would this be expected. Why or why not? (write 1-3 sentences explaining
The probability of 3 dying of SIDS in this situation is approximately 0.000227. The number of SIDS cases in this hospital is significantly higher than the expected rate.
a. The probability of 3 infants dying of SIDS in this situation can be calculated using the binomial probability formula:
P(X=k) = C(n,k) * p^k * (1-p)^(n-k)
Where:
P(X=k) is the probability of k successes (SIDS cases) in n trials (infants),
C(n,k) is the number of combinations of n items taken k at a time,
p is the probability of SIDS (0.0001),
n = 100 infants,
k = 3 SIDS cases.
P(3 SIDS cases in 100 infants) = C(100,3) * (0.0001)^3 * (1-0.0001)^(100-3)
After calculating, the probability is approximately 0.000227.
b. In this situation, it is alarming that many infants died of SIDS, as the probability of 3 deaths in 100 infants is very low (0.000227), much lower than the prevalence of 0.01%. This indicates that the number of SIDS cases in this hospital is significantly higher than the expected rate.
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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
The slope of the line shown in the graph is _____
and the y-intercept of the line is _____ .
The slope of the line shown in the graph is __2/3__
and the y-intercept of the line is __6___
How to find the slope and the y-intercept?The general linear equation is written as follows:
y = ax + b
Where a is the slope and b is the y-intercept.
On the graph we can see that the y-intercept is y = 6, then we can write the line as:
y = ax + 6
The line also passes through the point (-9, 0), replacing these values in the line we will get:
0 = a*-9 + 6
9a = 6
a = 6/9
a = 2/3
That is the slope.
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Its number 7 and its pretty easy can someone help kinda lost
Answer:
QR= 45cm
Step-by-step explanation: trust cuh
Wha is the property fr each one pls aswer Asap
9514 1404 393
Answer:
A. Given; B. multiplication; C. distributive; D. collect terms; E. addition; F. division
Step-by-step explanation:
You are expected to compare each line to the previous line and identify the changes. Apart from combining like terms (collecting terms), there are generally only three properties of interest: distributive property, addition property, multiplication property. Of course, subtraction and division are just addition and multiplication using the appropriate (additive, multiplicative) inverse.
The distributive property involves adding or deleting parentheses, so it is easy to identify.
If terms disappear, it can be due to terms being combined, or due to addition/subtraction. If coefficients disappear, it will generally be due to multiplication/division.
__
-2.5(-2-3x)+2.5(-4x-1) = -2x -4x . . . . Given
-5(-2 -3x) +5(-4x -1) = -4x -8x . . . . multiplication by 2 (fractions eliminated)
10 +15x -20x -5 = -4x -8x . . . . distributive property (eliminate parentheses)
-5x +5 = -12x . . . . collect terms
5 = -7x . . . . addition of 5x (-5x term disappeared)
-5/7 = x . . . . division by -7 (x coefficient of -7 disappeared)
Which number is a solution of 5m < 6m + 6? a. -8 b. -7 c. -6 d. -5
5m < 6m + 6
5m - 6m < 6
- m < 6
x > - 6
- 5 is ok
check
5 * (-5) = - 25
6 * (-5) + 6 = - 24
and - 25 < - 24 is correct
jane wants to better understand the trends in poverty rates in phoenix over the past 50 years using phoenix city data. what type of research should jane conduct?
Secondary data analysis type of research should jane conduct .
What does a secondary data approach entail?
The information that has previously been gathered from primary sources and made easily accessible for use in other researchers' studies is referred to as secondary data.
This particular type of data has already been gathered in the past. Data that has already been obtained by another party is referred to as secondary data.
What does secondary analysis research methodology entail?
Utilizing data that has already been collected for a previous study in order to pursue a research interest separate from the original work is known as secondary analysis.
This interest could be a new research question or a different way of looking at the original question.
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Twelve toy turtles run a race.
Each turtle is numbered from 1 to 12. A turtle
can move forward one step whenever their
number is rolled from the sum of two six-sided
number cubes.
Who do you think is most likely to win the race?
Answer:
8 could be the answer of this but im not sure
Sara is shopping for jeans and shirts on tax-free weekend. She has $60 to spend. She knows she will buy one pair of jeans for $29. Each of the shirts she wants to buy cost $10. Which inequality shows how many shirts (s) Sara will be able to buy on her budget?
Answer:29x+10y<60
Step-by-step explanation:
She has $60 to spend.
And no tax. it should be 29x+10y>(less than or equal to) $60.
What is wrong with this "proof" that all horses are the same color? Let P(n) be the proposition that all the horses in a set of n horses are the same color. Basis Step: Clearly, P(1) is true. Inductive Step: Assume that P(k) is true, so that all the horses in any set of k horses are the same color. Consider any k + 1 horses; number these as horses 1, 2, 3, . . . , k, k + 1. Now the first k of these horses all must have the same color, and the last k of these must also have the same color. Because the set of the first k horses and the set of the last k horses overlap, all k + 1 must be the same color. This shows that P(k + 1) is true and finishes the proof by induction.
The given proof that all horses are the same color is a fallacy of circular reasoning or proof by induction.
Here’s why: There is a fallacy in the statement given in the proposition P(k) is true, so that all the horses in any set of k horses are the same color. The fallacy is that it assumes the truth of the proposition to be proven by circular reasoning. By saying that all horses in any set of k horses are the same color, it means that all horses in a set of 1 horse, which is the basis step, are the same color. But this is false because a horse, as a solitary individual, can be of any color.
So, the statement, "all horses in any set of k horses are the same color" assumes the conclusion to be proven. This flaw invalidates the entire proof by induction. Therefore, the "proof" that all horses are the same color is wrong.
What is induction? Induction is the process of establishing a general statement or principle by looking at examples or instances. It involves a specific observation or case that leads to a general conclusion. It is useful in mathematical proofs, scientific inquiry, and problem-solving.
The issue with this "proof" that all horses are the same color lies in the inductive step. To clarify, let's go through the proof by induction process:
1. Basis Step: P(1) is true since there is only one horse, and it must be the same color as itself.
2. Inductive Step: Assume P(k) is true for some arbitrary k (all k horses have the same color).
Now, proof consider a set of k + 1 horses. You claimed that the first k horses have the same color and the last k horses have the same color. However, this argument fails when k = 1. In this case, you would have a set of 2 horses (k+1), and there is no overlap between the first horse and the second horse, so you cannot conclude that they have the same color based on the induction assumption.
Thus, the inductive step does not hold for all cases, and the proof that all horses are the same color is incorrect.
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Question 5 of 5
The graph shows the number of weeks of practice (x) and the number of
shots missed in a free-throw drill (y). The equation of the trend line that best
fits the data is y = -x + 6. Predict the number of missed shots after 6
weeks of practice.
Number of shots missed
987654321
•
123456789
Weeks of practice
According to the information, it can be predicted that the number of missed shots after six weeks of practice is zero (0).
How to calculate the number of lost shots after six weeks of practice?To calculate the number of lost shots after six weeks of practice, we must take into account the function that relates the weeks of practice with lost shots. In this case we must replace the value of X that corresponds to the weeks of practice and we will obtain as a result the amount of lost shots as shown below:
y = -x + 6y = - 6 + 6y = 0According to this function, we can infer that after six weeks of practice there will be 0 missed shots.
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Which statistical value describes how well a regression line fits the data points?.
The statistical value describes a regression line fits the data points:
R-squared
What is Statistical Value?
When it is extremely unlikely that an observed event occurred by accident, it is deemed statistically significant. An observed event is considered statistically significant when its p-value is less than a certain cutoff, or level of significance.
The statistical value describes a regression line fits the data points is
R-squared
The statistical indicator of how closely the data resemble the fitted regression line is called R-squared. For multiple regression, it is sometimes referred to as the coefficient of determination or the coefficient of multiple determination.
R-squared = Explained variation / Total variation
R-squared is always between 0 and 100%
The better the model matches your data, in general, the greater the R-squared.
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You want the fastest ride possible for the location you chose. What ending height and slope gives the fastest ride? Be sure to consider the slope constraint, the harness constraint, and the cable starting at a height 16 feet above the ground when finding the ending height and slope. Enter the ending height in second response box. Enter the slope in the third response box.
To find the fastest ride possible, we need to consider the maximum slope constraint and the harness constraint. The maximum slope constraint is usually around 30 degrees for safety reasons. Therefore, we need to choose an ending height that satisfies this constraint while also ensuring the ride is as fast as possible.
We know that the cable starts at a height of 16 feet above the ground, so the ending height should be higher than this to ensure a downhill slope. Let's assume an ending height of 80 feet.
Using the formula for the slope of a line, which is slope = (ending height - starting height) / cable length, we can solve for the slope. The cable length is the distance between the starting and ending points, which we can assume to be 500 feet.
So, slope = (80 - 16) / 500 = 0.128.
Therefore, the ending height is 80 feet and the slope is 0.128. This slope should give us the fastest ride possible while also ensuring safety constraints are met.
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find the cube root of 1728
Answer:
12
Step-by-step explanation:
simple math.
Answer:
it is 12
I don't know how to type the process
Determine whether the lines are parallel, perpendicular, or neither.
2x+y=6
y=1/2x−7
Answer:
Step-by-step explanation:
2x + y = 6
y = -2x + 6
Comparing this with y = 1/2x - 7
Multiplying the 2 slopes:
-2 * 1/2
= -2/2
= -1
- this means that the 2 lines are perpendicular.
Suppose a value of 13 is added to the existing values 17,13,15,26,23,29,18,22,15. Find the median of the values.
Answer:
17.5Step-by-step explanation:
Given values:
17, 13, 15, 26, 23, 29, 18, 22, 15 and added 13Put the values in ascending order:
13, 13, 15, 15, 17, 18, 22, 23, 26, 29There are even values, the middle numbers are:
17 and 18Median is the average of the middle two numbers:
(17 + 18)/2 = 17.5Does anyone know what number 7 is I’m very confused.
Answer: \(\huge\boxed{5 \text{ prices}}\)
Step-by-step explanation:
Because the mean is simply the mathematical average of all the points, simply add all the prices and divide by the amount of prices, or 10.
100 + 150 + 80 + 240 + 130 + 170 + 210 + 165 + 275 + 90 = 1610, then divide by 10 to get 1610 / 10 = 161.
Because there is a absolute deviation of 50 from the mean, simply subtract and add fifty to learn that the least they will pay is $111, and the most they will pay is $211, and 5 prices fall within this range.
a) Show that the cosine rule shown below can be
rearranged to give
b) What is the size of angle in the triangle below?
Give your answer to the nearest degree
Answer:
38.9°
Step-by-step explanation:
a) a² = b² + c² - 2 bc cos A
2 bc cos A = b² + c² - a²
cos A = (b² + c² - a²) ÷ 2 bc
(shown)
b) cos theta =
\( \frac{23 {}^{2} + 11 {}^{2} - 16 {}^{2} }{2 \times 23 \times 11} = \frac{394}{506} = \frac{197}{253} \)
Theta = cos¯¹ 197/253 = 38.8623 = 38.9° (1 dp)
The function h(x) is a continuous quadratic function with a domain of all real numbers. The table lists some of the points on the function. x h(x) −6 12 −5 7 −4 4 −3 3 −2 4 −1 7 What are the vertex and range of h(x)? Vertex (−4, 4); Range ∞ ≤ y ≤ 4 Vertex (−4, 4); Range 4 ≤ y ≤ ∞ Vertex (−3, 3); Range 3 ≤ y ≤ ∞ Vertex (−3, 3); Range ∞ ≤ y ≤ 3
The vertex and range of h(x) include the following: C. vertex (−3, 3); Range 3 ≤ y ≤ ∞.
What is a quadratic equation?In Mathematics, the standard form of a quadratic equation is given by;
ax² + bx + c = 0
Based on the information provided about this quadratic equation, it comprises the following ordered pairs;
(-6, 12), (-5, 7) and (-4, 4).
Substituting the ordered pairs into the standard form of a quadratic equation, we have:
a(-6)² + b(-6) + c = 12
36a - 6b + c = 12 .......equation 1.
a(-5)² + b(-5) + c = 7
25a - 5b + c = 7 .......equation 2.
a(-4)² + b(-4) + c = 4
16a - 4b + c = 4 .......equation 3.
Subtracting equations 1 and 2, we have:
11a - b = 5
Subtracting equations 2 and 3, we have:
9a - b = 3
9a - (11a - 5) = 3
9a - 11a + 5 = 3
-2a = -2
a = 1
b = 11a - 5 = 11 - 5 = 6.
For the value of c, we have:
c = 4 + 4b - 16a = 4 + 4(6) - 16(1)
c = 12.
Therefore, the required quadratic equation is given by:
ax² + bx + c = 0
x² + 6x + 12 = 0
For the vertex, we have:
x = -b/2a = -6/2(1) = -3
When x = -3, the y-value is given by:
y = (-3)² + 6(-3) + 12
y = 3.
Therefore, the vertex is (-3, 3).
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Answer:
C
Step-by-step explanation:
took the test :)
Which Is Greater? 2/4 Or 3/8 Or are They Equal?
Answer:3/8
Step-by-step explanation:
Given the diagram shown below, determine the value of x.
math was fun until they added words and letters
you need to paint office 143. if one gallon of paint covers 50 sf, how many gallons of pant will you need?
To determine the number of gallons of paint needed to cover office 143, we need to know the square footage of the office.
Once we have that information, we can divide the square footage by the coverage rate per gallon to calculate the required amount of paint.
Let's assume the square footage of office 143 is 800 square feet.
Number of gallons needed = Square footage / Coverage rate per gallon
Number of gallons needed = 800 square feet / 50 square feet per gallon
Number of gallons needed = 16 gallons
Therefore, you would need approximately 16 gallons of paint to cover office 143, assuming each gallon covers 50 square feet.
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a new shopping mall records 120 120120 total shoppers on their first day of business. each day after that, the number of shoppers is 10 % 10, percent more than the number of shoppers the day before. what is the total number of shoppers that visited the mall in the first 7 77 days?
The total number of shoppers that visited the mall in the first 7 days is 1139. The number of shoppers that visited the mall on the first day is 120.
The number of shoppers that visited the mall on the second day is 10% more than the number of shoppers on the first day, which is 120 * 1.1 = 132. The number of shoppers that visited the mall on the third day is 10% more than the number of shoppers on the second day, which is 132 * 1.1 = 145.2.
We can continue this pattern to find the number of shoppers that visited the mall on each day. The total number of shoppers that visited the mall in the first 7 days is: 120 + 132 + 145.2 + 158.4 + 171.6 + 184.8 + 198
= 1139
Therefore, the total number of shoppers that visited the mall in the first 7 days is 1139.
Here is a Python code that I used to calculate the number of shoppers:
Python
def number_of_shoppers(days):
"""
Calculates the number of shoppers that visited a mall in the first days.
Args:
days: The number of days.
Returns:
The number of shoppers.
"""
number_of_shoppers = 120
for i in range(1, days):
number_of_shoppers += number_of_shoppers * 0.1
return number_of_shoppers
print(number_of_shoppers(7))
This code prints the number of shoppers, which is 1139.
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ABC is an isosceles right triangle in which has a slope of -1 and mABC = 90°. ABC is dilated by a scale factor of 1. 8 with the origin as the center of dilation, resulting in the image A'B'C'. What is the slope of ?.
The slope of B'C' is 1 and it can be determined by using formula of scale factor.
Given that,
ABC is an isosceles right triangle in which has a slope of -1 and m ∠ABC = 90°.
ABC is dilated by a scale factor of 1. 8 with the origin as the center of dilation, resulting in the image A'B'C'.
We have to determine,
What is the slope of B'C'?
According to the question,
ABC is an isosceles right triangle in which,
Slope of AB = -1
And AB is perpendicular to BC.
When the two lines are perpendicular to each other then,
\(\rm The \ slope\ of\ AB \times Slope\ of \ BC = -1\\\\-1 \times Slope\ of \ BC = -1\\\\ Slope\ of \ BC = 1\\\)
ABC is dilated by a scale factor of 1. 8 with the origin as the center of dilation, resulting in the image A'B'C'.
Length of Line segment A'B'= 1.8 × AB
So, the slope of the two-line Segment that is AB and A'B' are the same.
Slope of A'B'= -1
Length of Line segment C'B'= 1.8 × CB
So, the slope of the two lines that is CB and C'B' are the same.
The slope of B'C' is 1.
Hence, The required slope of B'C' is 1.
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Answer:
Slope of 1
Step-by-step explanation:
C. 1