The average change in weight calculated by the researcher for the sample of 25 freshmen is an example of a statistic.
A statistic is a numerical summary of a sample that is used to make inferences about a population. In this case, the sample is the 25 freshmen, and the population could be all freshmen entering college.
The average change in weight is a statistic because it summarizes the data collected from the sample, and is used to make conclusions about the population.
It represents the typical or average amount of weight gained or lost by the freshmen in the sample during their first semester in college.
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r = 14 ft, 0= 39°; find s
The S = 37.2^0
Full answer:Below has been attached a diagram with the meaning of this problem. So we have a right triangle whose Opposite side (s) measures 18.9 and whose Adjacent side (r) measures 24.9. So, these two sides are related in the following form:
[tex]tan(S)=\frac{\text{Opposite side}}{\text{Adjacent side}} =\frac{s}{r} \\\\tan(S)=\frac{18.9}{24.9} \\\\tan(S)=0.76\\\\S=arctan(0.76)\\\\S=37.23^o\\\\\text{Roundding off:}\\\\\boxed{S=37.2^o}[/tex]
Therefore, the S = 37.2^0
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Determine the occupant load of a one room daycare that is 20' by 30' !
The occupant load of a one room daycare that is 20' by 30' is 17 people.
The occupant load of the daycare room can be determined by using the formula:
Occupant load = Area of room / Occupant load factor
From the case, we know that the area of the room is 20' x 30', then:
Room area = 600 square feet.
The occupant load factor for a daycare is typically 35 square feet per person. This means that each person in the daycare should have at least 35 square feet of space.
Using the formula, the occupant load of the one room daycare is:
Occupant load = 600 square feet / 35 square feet per person = 17.14 people
Therefore, the occupant load of the one room daycare is 17 people. This means that the daycare can safely accommodate 17 people at one time.
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Mav is working two summer jobs, making
$15 per hour lifeguarding and making $10
per hour landscaping. In a given week, she
can work at most 12 total hours and must
earn no less than $140. If x represents the
number of hours lifeguarding and y
represents the number of hours
landscaping, write and solve a system of
inequalities graphically and determine
one possible solution.
Inequality 1: y ≥û
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
y
Inequality 2: y ≥û
0 1 2 3
4
5
switch shade
plot
6
switch shade
plot
7
8 9 10 11 12 13 14 15 16 17 18 19 20
Xx
This solution satisfies both constraints, as x + y = 4 + 8 = 12, which is less than or equal to 12, and 15x + 10y = 15 * 4 + 10 * 8 = 120, which is greater than or equal to 140.
What is inequality?
In mathematics, a relationship between two expressions or values that are not equal to each other is called 'inequality. ' So, a lack of balance results in inequality.
We can write the first inequality as x + y <= 12
This inequality represents the constraint that Mav can work at most 12 hours in total between both jobs.
The second inequality represents the constraint that Mav must earn no less than $140 in a given week, which can be written as:
15x + 10y >= 140
To graph the system of inequalities, we can plot the lines corresponding to x + y = 12 and 15x + 10y = 140 on the coordinate plane and shade the region that satisfies both inequalities.
The solution to the system of inequalities will be the values of x and y that lie in the shaded region.
One possible solution is x = 4 and y = 8, which means that Mav works 4 hours of lifeguarding and 8 hours of landscaping in a given week, earning a total of 15 * 4 + 10 * 8 = $120.
Hence, This solution satisfies both constraints, as x + y = 4 + 8 = 12, which is less than or equal to 12, and 15x + 10y = 15 * 4 + 10 * 8 = 120, which is greater than or equal to 140.
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Answer:
y ≤ 12 -xy ≥ 14 -1.5x(x, y) = (4, 8) — 4 hours lifeguarding, 8 hours landscapingStep-by-step explanation:
You want inequalities, their graph, and a possible solution satisfying Mav's requirement for at most 12 total hours spent lifeguarding at $15 per hour and landscaping at $10 per hour, with an income of at least $140.
SetupThe required relations can be written ...
x + y ≤ 12 . . . . . . . total hours
15x +10y ≥ 140 . . . . total earnings
InequalitiesThe inequalities need to be solved for y to match the answer format requirements.
inequality 1: y ≤ 12 -x . . . . . . . . . . subtract x
inequality 2: y ≥ 14 -1.5x . . . . . . divide by 10, subtract 1.5x
SolutionThe attached graph shows a couple of possible solutions. The solution space is the doubly-shaded area bounded by vertices ...
(4, 8), (12, 0), and (9 1/3, 0)
Mav will make the most money working 12 hours lifeguarding (x, y) = (12, 0).
She can just meet her income requirements by working 8 hours lifeguarding and 2 hours landscaping (x, y) = (8, 2).
One possible solution is 4 hours lifeguarding and 8 hours landscaping.
in hypothesis testing, the alternative hypothesis is . a. the hypothesis tentatively assumed true in the hypothesis-testing procedure b. the hypothesis concluded to be true if the null hypothesis is rejected c. the maximum probability of a type i error d. the maximum probability of a type ii error
Answer:
taking your points
Step-by-step explanation:
Suppose a magazine ranks the best paying college degrees in a country. The following data show the median starting salary, the mid-career salary, and the percentage increase from starting salary to mid-career salary for the 20 college degrees with the highest mid-career salary. Degree starting salary mid-career salary : Degree Starting Salary Mid-Career Salary % Increase
College Degree A 59,400 105,000 77
College Degree B 56,400 101,000 79
College Degree C 54,800 101,000 84
College Degree D 64,800 105,000 62
College Degree E 53,500 93,400 75
College Degree F 61,200 87,700 43
College Degree G 56,200 97,700 74
College Degree H 50,400 87,000 73
College Degree I 48,800 97,800 100
College Degree J 60,800 105,000 73
College Degree K 47,500 91,500 93
College Degree L 41,500 88,300 113
College Degree M 49,300 87,100 77
College Degree N 50,900 90,300 77
College Degree O 46,400 88,300 90
College Degree P 63,900 105,000 64
College Degree Q 93,000 159,000 71
College Degree R 50,700 99,600 96
College Degree S 56,700 91,300 61
College Degree T 50,000 93,400 87
(a) using a class width of 10, construct a histogram for the percentage increase in the starting salary. A histogram with 8 class labels along the horizontal axis is given. The horizontal axis is labeled: % increase. The vertical axis is labeled: frequency. Centered over the leftmost label, 40-49. 9, a bar is drawn 1 unit tall. Moving to the right, information about the remaining bars (beginning with class label) is listed. 50-59. 9: 1 unit tall 60-69. 9: 3 units tall 70-79. 9: 3 units tall 80-89. 9: 7 units tall 90-99. 9: 4 units tall 100-109. 9: no bar 110-119. 9: 1 unit tall a histogram with 8 class labels along the horizontal axis is given. The horizontal axis is labeled: % increase. The vertical axis is labeled: frequency. Centered over the leftmost label, 40-49. 9, a bar is drawn 7 units tall. Moving to the right, information about the remaining bars (beginning with class label) is listed. 50-59. 9: 4 units tall 60-69. 9: no bar 70-79. 9: 1 unit tall 80-89. 9: 1 unit tall 90-99. 9: 1 unit tall 100-109. 9: 3 units tall 110-119. 9: 3 units tall a histogram with 8 class labels along the horizontal axis is given. The horizontal axis is labeled: % increase. The vertical axis is labeled: frequency. There is no bar centered over the leftmost label, 40-49. 9. Moving to the right, information about the remaining bars (beginning with class label) is listed. 50-59. 9: 1 unit tall 60-69. 9: 4 units tall 70-79. 9: 3 units tall 80-89. 9: 7 units tall 90-99. 9: 3 units tall 100-109. 9: 1 unit tall 110-119. 9: 1 unit tall a histogram with 8 class labels along the horizontal axis is given. The horizontal axis is labeled: % increase. The vertical axis is labeled: frequency. Centered over the leftmost label, 40-49. 9, a bar is drawn 1 unit tall. Moving to the right, information about the remaining bars (beginning with class label) is listed. 50-59. 9: no bar 60-69. 9: 4 units tall 70-79. 9: 7 units tall 80-89. 9: 3 units tall 90-99. 9: 3 units tall 100-109. 9: 1 unit tall 110-119. 9: 1 unit tall (b) comment on the shape of the distribution. The histogram is ---select---. (c) develop a stem-and-leaf display for the percentage increase in the starting salary. (enter numbers from smallest to largest separated by spaces. Enter none for stems with no values. ) Leaf Unit = 1
4 5 6 7 8 9 10 11
The histogram of the magazine ranks the best paying college degrees in a country is illustrated below.
A histogram is a graphical representation of data that displays the frequency distribution of a set of continuous or discrete data
To construct a histogram, we would first need to determine the range of the data. In this case, the range would be the difference between the highest and lowest starting salaries or mid-career salaries. We would then divide the range into several intervals or "bins" of equal width.
For example, if we use a bin width of $10,000, the first bin would be $40,000-$49,999, the second bin would be $50,000-$59,999, and so on.
We would then count the number of degrees that fall into each bin and plot the counts as bars on a graph, with the bin ranges on the x-axis and the frequency counts on the y-axis. The resulting graph would be a histogram, showing the distribution of the data.
It is important to label the axes of the histogram and include a title that accurately reflects the data being presented.
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Complete Question:
Suppose a magazine ranks the best paying college degrees in a country. The following data show the median starting salary, the mid- career salary, and the percentage increase from starting salary to mid-career salary for the 20 college degrees with the highest mid- career salary.
Degree Starting Salary | Mid-Career Salary | % Increase
College Degree A 59,400 104,000 75 College Degree B 56,400 101,000 79 College Degree C 54,800 101,000 84 College Degree D 64,800 104,000 60 College Degree E 53,500 93,400 75 College Degree F 61,200 87,700 43 College Degree G 56,200 97,700 74 College Degree H 50,400 87,000 73 College Degree I 48,800 97,800 100 College Degree J 60,800 107,000 76 College Degree K 47,500 91,500
Frequency 40-49.9
Using a class width of 10, construct a histogram for the percentage increase in the starting salary.
how many pattern block trapezoids would create 5 hexagons
The correct answer is "It takes 15 pattern block trapezoids to create 5 hexagons."
Pattern block trapezoids are a type of geometric shape commonly used in math education. They are one of several shapes that can be used to create tessellations, or repeating patterns, on a flat surface. Pattern block trapezoids come in different sizes and are made of different colored plastic or foam, with each color representing a different size and shape. In addition to their use in creating tessellations, pattern block trapezoids are often used to teach geometry concepts such as area, perimeter, and angles. They can also be used to help students develop spatial reasoning skills and problem-solving abilities. The most common set of pattern blocks includes six shapes: the trapezoid, hexagon, square, parallelogram, rhombus, and triangle. These shapes can be combined in a variety of ways to create different patterns and designs, making them a versatile and useful tool for math education.
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Solve the right triangle table
The measure of the angle m∠B is equal to 41°. Using the sine rule the lengths of a and b are 9.6 and 8.3 respectively.
What is the sine ruleThe sine rule is a relationship between the size of an angle in a triangle and the opposing side.
We shall first evaluate for the angle m∠B as follows:
m∠A + m∠B + m∠C = 180° {sum of interior angles of a triangle}
49° + B + 90° = 180°
B + 139° = 180°
B = 180° - 139° {subtract 139° from both sides}
m∠B = 41°
12.7/sin90° = a/sin41
a = (12.7 × sin49)/sin90° {cross multiplication}
a = 9.5848
12.7/sin90° = b/sin49
b = (12.7 × sin49)/sin90 {cross multiplication}
b = 8.3319
Therefore, the measure of the angle m∠B is equal to 41°. Using the sine rule the lengths of a and b are 9.6 and 8.3 respectively.
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1. A worm moves down a path that is 1,3 m long. The worm starts moving at 9h12 and reaches the end of the path at 9h24. How fast is the worm travelling?
The worm is travelling at a speed of 0.0018 meter per second.
What is Speed?Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.
Speed is a scalar quantity as it only has magnitude and no direction.
Given that,
Total distance travelled by the worm = 1.3 m
The worm starts moving at 9 hour 12 minutes and reaches the end of the path at 9 hour 24 minutes.
Total time taken = 24 - 12 = 12 minutes
Speed = Distance / Time
Speed = 1.3 / 12
= 0.1083 meter / minute
= 0.0018 meter per second
Hence speed of the worm is 0.0018 meter per second.
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Please help me I’m stuck:)
Answer:
(a) (0,0)
Step-by-step explanation:
Solving with Elimination method-
Take the first equation- 3x - 2y = 6
Multiply both sides by 2
2(3x - 2y) = 2*6
6x - 4y = 12
Subtract Both the equations-
6x - 4y = 12
- 6x - 4y = 12
= 0 = 0
The answer is (0,0)
A right triangle has legs measuring 18 in. and 26 in. what is the length of the hypotenuse? round to the nearest tenth. responses 18.8 in. 18.8 in. 31.6 in. 31.6 in. 44.0 in. 44.0 in. 100.0 in.
The hypotenuse of the right triangle with legs measuring 18 in and 26 in is 31.6 in, rounded to the nearest tenth. This is calculated by using the Pythagorean Theorem, which states that a2 + b2 = c2 and plugging in the values for a and b.
The hypotenuse of a right triangle is the longest side of the triangle and is always opposite of the right angle. To calculate the length of the hypotenuse, you need to use the Pythagorean Theorem. The theorem states that a2 + b2 = c2, where a and b are the legs of the triangle and c is the hypotenuse. In this case, a is 18 inches and b is 26 inches, so the equation would be 182 + 262 = c2. Plugging in the values, we get 324 + 676 = c2, which simplifies to 1000 = c2. To find the length of the hypotenuse, we need to take the square root of 1000, which is 31.6 inches. Rounded to the nearest tenth, the hypotenuse of the right triangle with legs measuring 18 in and 26 in is 31.6 in.
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The figure on the right is a scaled copy of the figure on the left. Which side in the figure on the right corresponds to segment DF? What is the scale factor?
The side which corresponds to QS is VU, and the scale factor is 2.
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
Given that, the figure on the right is a scaled copy of the figure on the left.
We need to find the corresponding side of QS and scale factor,
The figure is 90° counterclockwise rotated,
Therefore,
The corresponding sides are:
PR ~ TW
RQ ~ VT
QS ~ UV
PS ~ WU
∵ the measure of QS = 4 units and the measure of UV = 2 units
∴ scale factor = 4/2 = 2
Hence, the side which corresponds to QS is VU, and the scale factor is 2.
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The question do not contain figure, the similar question is solved.
Buy 10 botttess spent $12 toles of sport drink which choice shows the money spent per sport drink bottle
Given that 10 bottles were bought for a total amount of $12, the price per bottle of sport drink is $1.20.
$12 divided by ten bottles equals $1.20.
By dividing the total amount paid ($12) by the quantity of bottles bought, the price per bottle of sport drink was determined (10). As a result, each bottle cost $1.20. According to the computation, the price of 10 bottles of sport drink came to a total of $12. The cost of individual goods or greater quantities of bottles can then be determined using this cost per bottle. The price per bottle can be used to compare the costs of various sport drink brands or sizes. Customers can choose and buy sport drinks with more knowledge if they are aware of the price per bottle.
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Hey circle has a diameter of 30 cm what is the circumference?
Use 3.14 for pie and do not round your answer be sure to include the correct unit in your answer 
Answer:
94.2cm
Step-by-step explanation:
Diameter 30cm
π = 3.14
Circumference of a circle is given by the formula:
C = 2πr
r = radius
Radius is equal to half of the diameter
30/2 = 15cm
Sub into equation:
C = 2(3.14)(15)
C = 94.2cm
A jar contains four marbles: three red ones and one white one
If one marble is drawn from a bag containing three red ones and one white one , then probability that it is a red one is 3/4 .
Total number of marbles in the jar is = 4 marbles ;
the number of red marbles in the jar is = 3 marbles ;
the number of white marbles in the jar is = 1 marble ;
The probability of drawing a red marble from the jar can be calculated as the number of red marbles divided by the total number of marbles in the jar:
⇒ P(red marble) = number of red marbles / total number of marbles
⇒ 3/4
⇒ 0.75
⇒ 75%
Therefore, the probability of drawing a red marble from the jar is 0.75 or 75%.
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The given question is incomplete , the complete question is
A jar contains four marbles: three red ones and one white ones , if one marble is drawn from the jar , find the probability that it is a red one ?
Sam has two six-sided dice. If she rolled the dice, what is the probability that she will roll of sum of 7?
According to the above statement, she has a 1/6 chance of rolling a 7 on the dice.
What is the simple definition of probability?A possibility is a ratio that expresses the possibility or likely that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.
When using two six-sided dice, there are 36 possibilities that might occur.
By using two dice, there are six ways to arrive to the sum of 7: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), & (6, 1).
The likelihood of rolling a 7 is thus 6/36 = 1/6.
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What is m∠B?
There is a seven sided polygon ABCDEFG in which the measure of angle BCD is 148 degrees, the measure of angle DEF is 142 degrees, the measure of angle EFG is 130 degrees, the measure of angle FGA is 129 degrees, and the measure of angle GAB is 120 degrees. Angle CDE is a right angle.
For the polygon ABCDEFG, the measurement of ∠B is option D: 141°.
What is a polygon?
In a two-dimensional plane, a polygon is a closed object formed of line segments rather than curves. Polygon is a word that combines the words poly (which meaning numerous) and gon (means sides).
The polygon ABCDEFG has angle measurements as -
Measurement of ∠BCD = 148°
Measurement of ∠DEF = 142°
Measurement of ∠EFG = 130°
Measurement of ∠FGA = 129°
Measurement of ∠GAB = 120°
Measurement of ∠CDE = 90°
Let the measurement of ∠ABC be x° .
In a heptagon (or polygon having seven sides) the sum of all angles is 900°.
So, for polygon ABCDEFG the equation will be -
∠BCD + ∠CDE + ∠DEF + ∠EFG + ∠FGA + ∠GAB + ∠ABC = 900°
Substitute the values in the equation -
148° + 90° + 142° + 130° + 129° + 120° + x = 900°
148° + 90° + 142° + 130° + 129° + 120° + x = 900°
759° + x = 900°
x = 900° - 759°
x = 141°
Therefore, the value of x is obtained as 141°.
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in a sample of 20 men, the mean height was 178 cm. in a sample of 30 women, the mean height was 164 cm. what was the mean height for b oth groups put together?
In a sample of 20 men, the mean height was 178 cm and a sample of 30 women, the mean height was 164 cm, then the mean height for both groups combined is approximately 172.4 cm.
To find the mean height for both groups combined, we need to calculate the weighted average of the means of each group, where the weight of each group is proportional to its sample size.
We can begin by finding the total height of all the individuals in both groups combined. The total height for the men's group would be 20 multiplied by the mean height of 178 cm, which is 3560 cm.
Similarly, the total height for the women's group would be 30 multiplied by the mean height of 164 cm, which is 4920 cm. Adding these two values gives a total height of 8480 cm for both groups combined.
Next, we need to find the total sample size, which is the sum of the sample sizes of the two groups. The total sample size is 20 + 30 = 50.
Finally, we can calculate the weighted average of the means of each group using the formula:
Weighted average = (weight of group 1 * mean of group 1 + weight of group 2 * mean of group 2) / (weight of group 1 + weight of group 2)
In this case, the weights of each group are proportional to their sample sizes. Therefore, the weighted average can be calculated as:
Weighted average = (20/50 * 178 cm) + (30/50 * 164 cm) = 172.4 cm
In summary, to find the mean height for both groups combined, we need to calculate the weighted average of the means of each group, where the weight of each group is proportional to its sample size. This is done by multiplying the sample size of each group by its mean height, adding the values, and then dividing by the total sample size.
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Pablo paid $28.00 for a shirt. This was the markdown price after a $16.00
discount. Which equation can Pablo use to find p, the regular price of the shirt?
Answer:
Step-by-step explanation:
The original price of the hat is $35. Paolo paid $28 for the hat.
So discount for the hat is $(35-28) = $7
$7 is discounted from $35. We have to find the percentage of the discount.
To find the percentage we have to divide the discount amount by the original price and then have to multiply it by 100.
So the discount percentage =
((7/35)×100) %
We can simplify 7/35 by dividing 7 and 35 both by 7. So we will get 1/5 after simplifying.
((1/5) ×100) %
(100/5)% = 20%
So the hat was discounted by 20%.
A gauge on Sam's car indicates that he has 18. Mia likes to practice her multiplication facts. 178.8 miles left Until his gds tank is empty. ff she con correctly answer one problem If he drives 6Q.25 miles to his visit his mother, every 0.048 minutes, how many problems then 83.9 miles to visit his friend, how many can she correctly answer in 3 minutes? miles does he have left to empty?
its 2 questions figer them both out
For the given matrix A find a 3x2 matrix B such that AB=I, where I is the 2x2 identity matrix. [Hint: If B1 and B2 are the columns of B, then ABj = Ij.]A =1 2 11 1 1
AB = [1 0] is the 2x2 identity matrix so, AB=I.
[0 1]
To find a 3x2 matrix B such that AB=I, we need to solve the equation:
A × B = I
where I is the 2x2 identity matrix. We can use the hint given to us to find the columns of B.
Let B1 and B2 be the columns of B. Then we have:
A × B1 = I1
A × B2 = I2
where I1 and I2 are the columns of the 2x2 identity matrix I.
We can solve for B1 and B2 by setting up and solving the following systems of linear equations:
For B1:
1 × B1[1] + 1 × B1[2] = 1
2 × B1[1] + 1 × B1[2] = 0
1 × B1[1] + 1 × B1[2] = 0
For B2:
1 × B2[1] + 1 × B2[2] = 0
2 × B2[1] + 1 × B2[2] = 1
1 × B2[1] + 1 × B2[2] = 0
Solving these systems of equations, we get:
B1 = [-1, 1]
B2 = [1, -1]
Therefore, the 3x2 matrix B that satisfies AB=I is:
B = [-1 1]
[ 1 -1]
[ 0 0]
We can verify that AB is indeed equal to the 2x2 identity matrix I:
A × B = [1 2 1] × [-1 1 0] = [(-1)+2 (1)+(-1) 0+0] = [1 0]
[1 1 1] [ 1 -1 0] [ 1+1 (1)+(-1) 1+0] [0 1]
Therefore, AB = I:
AB = [1 0]
[0 1]
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The question is -
For the given matrix A find a 3x2 matrix B such that AB=I, where I is the 2x2 identity matrix. [Hint: If B1 and B2 are the columns of B, then ABj = Ij.]
A = 1 2 1
1 1 1
Order the values from least to greatest. |2.7|, 0, 1.3, |-1|, 2
0 |-1| , 1.3 , 2, |2.7|
Step-by-step explanation:
it's right because |-1| is an absolute value and the absolute value is 1
Answer:
0, |- 1| , 1.3, 2, |2.7|
Step-by-step explanation:
The absolute value of any number, x, denoted by |x| is the positive of that number
So | 2.7 | = 2.7
| - 1 | = 1
Therefore the order of the absolute values is
0, 1, 1.3, 2, 2.7 which is the same as 0, |- 1| , 1.3, 2, |2.7|
HELP PLEASE!!!
Solve for the y-intercept given a slope of -2 and a point of (3,-2)
After solving for the line with slope as -2 and point (3,-2) , the y intercept is (0,4) .
We use the Point Slope form of a linear equation to write the equation of a line given its slope and a point on the line.
So , the point slope form is ⇒ y - y₁ = m(x - x₁) ;
Where m = slope , and (x₁, y₁) = point on line .
So , by using the slope (m = -2) and point (x₁, y₁) = (3, -2),
Substituting these values and simplifying further ,
We get ; ⇒ y -(-2) = (-2)×(x - 3) ;
⇒ y + 2 = (-2)×(x) + (-2)×(-3) ;
Subtracting 2 from both sides,
we have ;
⇒ y = -2x + 4
The y intercept of line is value of "y" when x = 0.
So , we substitute x = 0 in the equation of line y = -2x + 4 ;
that means ⇒ y = -2(0) + 4 ;
⇒ y = 4 .
Therefore, the y intercept of the line with slope "-2" and passing through the point (3, -2) is (0, 4).
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I think the difference 6.96 - 0.04 is greater or less than 7
The difference 6.96 - 0.04 is greater than 7.
ZABC and ZQRS are supplementary angles.
If the measure of ZABC = 170°, what is the
measure of ZQRS?
m/QRS = ?
Answer:
[tex]10^{\circ}[/tex]
Step-by-step explanation:
Supplementary angles have measures that add to [tex]180^{\circ}[/tex].
The rainforest has about 19,000 known species of insects. However, due to deforestation, some
species are becoming extinct. This can be modeled with an exponential function with growth
constant k = -0.05. How many species will be left in......
5 years?
10 years?
100 years?
Answer:
The main cause of deforestation is agriculture (poorly planned infrastructure is emerging as a big threat too) and the main cause of forest degradation is illegal logging. In 2019, the tropics lost close to 30 soccer fields' worth of trees every single minute
Which ratios are equivalent to 35
?
One example is 70:2. In the case of any non-zero number, this is a ratios of the form 35*k/k.
How would you define ratios?An set of points of numbers “ a ” and “ b", represented as a / b, is a ratio if b is not equal to 0. The proportion is an expression that sets two ratios at the same value. If there are two boys and five girls, for instance, you may express the ratio as 2:5.
Why is it known as a ratio?We got the word "ratio" directly from the Latin word, which is also called "suitable ratio." The mathematics and English ratios were derived from the Latin ratio, which had multiple meanings, ranging from "cause" to "calculated" to "proportion."
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does -6(x+1)+8x=2(x-3) have no solution one solution or all real numbers are solutions and if theres only one solution was does x=
The equation -6(x+1)+8x=2(x-3) has all real numbers as solutions, meaning that any value of x will make the equation true. The equation does not have a single unique solution for x.
What is the equation in one variable?
An equation in one variable is a mathematical expression that contains a single variable, typically represented by x. The goal of solving an equation in one variable is to determine the value of the variable that makes the equation true.
To solve the equation -6(x+1)+8x=2(x-3), we can simplify the left-hand and right-hand sides of the equation and then solve for x. Here are the steps:
Distribute the -6 and 2 to the terms inside the parentheses: -6x - 6 + 8x = 2x - 6
Combine like terms on each side of the equation: 2x - 6 = 2x - 6
Subtract 2x from both sides of the equation: -6 = -6
At this point, we have a true statement (-6 = -6), but there is no variable present. This means that the equation has infinitely many solutions, and every real number is a solution to the equation.
Hence, the equation -6(x+1)+8x=2(x-3) has all real numbers as solutions, meaning that any value of x will make the equation true. The equation does not have a single unique solution for x.
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What is the circumference of a circle with a diameter of 11 inches? (use 22/7 for pi)
The circumference of a circle with a diameter of 11 inches using π as 22/7 is 34.86 inches.
To find the circumference of a circle, we can use the formula:
C = πd
where C is the circumference, π is a mathematical constant (approximately 22/7), and d is the diameter of the circle.
The diameter of a circle is a straight line that passes through the center of the circle and touches two points on the edge of the circle. In this problem, we are given that the diameter of the circle is 11 inches.
To find the circumference, we can substitute this value for d in the formula:
C = πd = π(11 inches)
We can simplify this by using the approximation π ≈ 3.14 (or more precisely, π ≈ 22/7), to get:
C ≈ (3.14)(11 inches) = 34.54 inches
or
C ≈ (22/7)(11 inches) = 34.86 inches
So the circumference of the circle is approximately 34.54 inches or 34.86 inches, depending on which approximation of π is used.
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The number of hours, h, it takes for a block of ice to melt varies inversely as the temperature, t. If it takes 3 hours for a square inch of ice to melt at 60 degrees, find the constant of proportionality
a.
150
c.
210
b.
180
d.
200
Please select the best answer from the choices provided
A
B
C
D
Answer is B
The constant of proportionality is 180.
A computer and printer cost a total of $954. The cost of the computer is two times the cost of the printer. Find the cost of each item.
