Answer:
0 feet per minute
Step-by-step explanation:
Part A: Andy's descent can be represented as a unit rate by dividing the distance he descended by the time it took. In this case, Andy descended 10 feet in 212 minutes, so his rate of descent is 10 feet / 212 minutes = 0.047169811320754716981132075471698 feet per minute. Rounded to the nearest integer, Andy's rate of descent is 0 feet per minute.
a cell phone costing R747 was advertised at a reduced price of R599.Calculate the percentage discount being offered
Answer:
19.81% off
Step-by-step explanation:
percentage decrease = new-old/old
599-747/ 747 = -148/747
-148/747 x 100 = -19.81%
so the price has been reduced by 19.81%
Solve the equation for solutions over the interval [0°, 360°). csc ²0+2 cot0=0 ... Select the correct choice below and, if necessary, fill in the answer box to complete your ch OA. The solution set
The solution set over the interval [0°, 360°) is {120°, 240°}. The correct choice is (c) {120°, 240°}.
The given equation is csc²θ + 2 cotθ = 0 over the interval [0°, 360°).
To solve this equation, we first need to simplify it using trigonometric identities as follows:
csc²θ + 2 cotθ
= 0(1/sin²θ) + 2(cosθ/sinθ)
= 0(1 + 2cosθ)/sin²θ = 0
We can then multiply both sides by sin²θ to get:
1 + 2cosθ = 0
Now, we can solve for cosθ as follows:
2cosθ = -1cosθ
= -1/2
We know that cosθ = 1/2 at θ = 60° and θ = 300° in the interval [0°, 360°).
However, we have cosθ = -1/2, which is negative and corresponds to angles in the second and third quadrants. To find the solutions in the interval [0°, 360°), we can use the following formula: θ = 180° ± αwhere α is the reference angle. In this case, the reference angle is 60°.
So, the solutions are:θ = 180° + 60° = 240°θ = 180° - 60° = 120°
Therefore, the solution set over the interval [0°, 360°) is {120°, 240°}. The correct choice is (c) {120°, 240°}.
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Find missing length.
One diagonal of a kite is twice as long as the other diagonal. If the area of the kite is 240 square inches, what are the lengths of the diagonals?
If one diagonal of a kite is twice as long as the other diagonal and the area of the kite is 240 square inches, then the length of the shorter diagonal is 4√15 inches and the length of the longer diagonal is 8√15 inches.
To find the length of the diagonals, follow these steps:
Let the length of the shorter diagonal = x. So, the length of the longer diagonal = 2x.Area of the kite = (1/2)×product of diagonals= (1/2)×x×2x= x² square inchesSince the area of the kite is 240 square inches, then x² = 240 ⇒x = √240 ⇒x = 4√15 unitsTherefore, the length of the shorter diagonal is x = 4√15 inches and the length of the longer diagonal is 2x = 8√15 inches.Learn more about kite:
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What is -8 + -14
6
22
-6
-22
Answer:
56
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
Find the difference in slopes. Can anyone help me with this? I need it, its a grade for my mah class.
Answer:
Slope of the graphed line, using 2 points (-1, 3) and (0, 0):
m₁ = 3/-1 = -3Slope of the line containing the points (-6, 2) and (-9, 5):
m₂ = (5 - 2)/(-9 - (-6)) = 3/-3 = -1The difference in number between the slopes:
-3 - (-1) = -2The difference in slopes:
The slope of the graphed line is 3 times steeper.Answer:
i like to know this answer
List and appraise a piece of music base on timbre
_________<<<<______free 5 pts lol.
Answer:
yes it is true becasue ya so that equals and that is why 5(4 − x) < 3x + 1
Step-by-step explanation:
Colton's gross pay is $1421.50 and his net pay is $973.48.
What percent of his gross pay is take-home pay?
31.5%
44.8%
46%
68.5%
68.5% of Colton's gross pay is take-home pay. To find the percentage of Colton's gross pay that is take-home pay, we need to divide his net pay by his gross pay and then multiply by 100 to convert the resulting decimal to a percentage.
To find the percentage of Colton's gross pay that is take-home pay, we need to divide his net pay by his gross pay and multiply the resulting decimal by 100 to express it as a percentage. Colton's gross pay is $1421.50 and his net pay is $973.48. Dividing the net pay by the gross pay gives a result of 0.685, or 68.5% when converted to a percentage. This means that 68.5% of Colton's gross pay is take-home pay, or the amount of money that he receives after deductions are made. Therefore, Colton's take-home pay is $973.48, which is 68.5% of his gross pay.
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Which list shows these numbers in order from least to greatest?
Answer:
-3,-2,0,2,3 [c]
Step-by-step explanation:
I had that quiston on my warm up [edge 2021] and got it right
i first tried b and that didnt work
(a)A line through (2,1) meets the curve x²-2x-y=3at A (-2,5)and at B. Find the coordinates of B
(b) A(3,1) lies on the curve (x-1)(y+1)=4. A line through A perpendicular to x+2y=7 meets the curve again at B. Find the coordinates of B.
A pound of ground beef costs $5. At this rate, what is the cost of 1/4 pounds?
Answer:
yesssss
Step-by-step explanation:
if you give me more poins ill be happy
Vertical Angles: Find the Supplementary Angles (photo provided)
Answer:
105°
Step-by-step explanation:
The given angles are vertical and congruent , then
8x - 21 = 6x + 3 ( subtract 6x from both sides )
2x - 21 = 3 ( add 21 to both sides )
2x = 24 ( divide both sides by 2 )
x = 12
Then
6x + 3 = 6(12) + 3 = 72 + 3 = 75°
Supplementary angles sum to 180° , thus
supplementary angle = 180° - 75° = 105°
Find the area of the shape below
Answer:
I got 58, I hope the picture helped
Researchers try to gain insight into the characteristics of a ______ population by examining a of the population. Select one:
a. Description
b. Model
c. Replica
d. Sample
Researchers try to gain insight into the characteristics of a sample population by examining a sample of the population.
A sample is a subset of individuals or units taken from a larger population. Researchers use sampling methods to select a representative group of individuals from the population they are interested in studying. By studying the sample, researchers can make inferences and draw conclusions about the characteristics, behaviors, or trends that may exist within the entire population.
The goal of sampling is to obtain a sample that accurately represents the population in terms of its relevant characteristics. Researchers carefully select their samples to ensure that they are representative and minimize bias. This allows them to generalize the findings from the sample to the larger population with a certain level of confidence.
By examining a sample, researchers can collect data, analyze patterns, and draw conclusions about the population as a whole. This approach is more feasible and practical than attempting to study the entire population, especially when the population is large or geographically dispersed.
Therefore, researchers use samples to gain insight into the characteristics of a population, making option d. "Sample" the correct answer.
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pls help
In Miss McGee's homeroom, there are 5 blonds, 9 brunettes, 2 redheads, and 2 students with black hair. If Miss McGee chose a student at random, what is the probability that the student would be a red head
Answer:
2/18 or if needed simplified 1/9. count all the people you get 18 the red head is 2.
Answer:
2 out of 18
Step-by-step explanation:
5+2+2+9= 18 redheads = 2
solve for g:
3/4(4g+5)=6
Answer:
G = -32
Step-by-step explanation:
Suppose the function f(t) = 95 cosine (startfraction pi over 10 endfraction t) 120 models the height of a seat on a ferris wheel after t minutes. based on this information, what is the diameter of the ferris wheel? 95 ft 120 ft 190 ft 215 ft
The diameter of the Ferris wheel is equal to 95 ft.
What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have a function that models the height of a seat on a Ferris wheel after [t] minutes.
We have the following function -
f(t) = 95 cos(π/10)t
The diameter of the Ferris wheel would be the maximum height reached by the wheel. We have -
f(t) = 95 cos[(π/10)t]
df/dt = 95 x - sin[(π/10)t] x (π/10)
df/dt = -(95π/10) sin[(π/10)t]
For maximum height -
df/dt = 0
- (95π/10) sin[(π/10)t] = 0
sin[(π/10)t] = 0
sin[(π/10)t] = sin (0)
(π/10)t = 0
t = 0
Put t = 0, in f(t) = 95 cos[(π/10)t], we get -
f(max) = 95 cos(0) = 95 ft
Therefore, the diameter of the Ferris wheel is equal to 95 ft.
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Answer: Option C (190 ft)
Step-by-step explanation:
The perimeter of a right triangle is 25 meters and the area is 20 square meters. The length of the sides are each multipled by 3. What is the are of the new triangle
Answer:
The area of the new triangle is 180 m²
Step-by-step explanation:
let the height of the triangle = h
let the base of the triangle = b
The area of right triangle is given by;
A = ¹/₂bh
20 = ¹/₂bh
If we multiple each side of the triangle by 3, the new area of the triangle will be as follows;
A= ¹/₂(3b)(3h)
A = ¹/₂(9) (bh)
A = 9(¹/₂bh)
A = 9(20)
A = 180 m²
Therefore, the area of the new triangle is 180 m²
Answer: D
Step-by-step explanation:
Write an equation in slope-intercept form for the line that passes through each pair of points:
(-7, -3)(-3, 5)
First we need to find the slope between the two points:
(y2-y1) / (x2-x1)
= -3 - 5 / -7 - 5
= -8 / -12
= 2 / 3
We have the slope. Now we need to find the y intercept.
y = (2 / 3)x + b
Using one of the points, I will be using (-7,-3)
-3 = (2 / 3)-7 + b
-3 = -14 / 3 + b
b = -3 + 14 / 3
b = 5 / 3
Therefore, the equation will be:
y = (2 / 3)x + (5 / 3)
list 10 Objects that are vertical and horizontal and are found in the classroom
Classroom objects can be categorized as vertical or horizontal. Examples of vertical objects include doors, bookshelves, and clocks, while horizontal objects include desks, tables, and chairs.
In a classroom, there are many objects that are vertical and horizontal. Here are ten examples of each:
Vertical objects in a classroom:
1. Door 6. Clock
2. Cabinet 7. Electrical outlets
3. Bookshelf 8. Light switches
4. Whiteboard 9. Window blinds
5. Flagpole 10. Bulletin board
Horizontal objects in a classroom:
1. Desks 6. Keyboard trays
2. Chairs 7. Carpet tiles
3. Tables 8. Ceiling tiles
4. Countertops 9. Whiteboard markers
5. Shelves 10. Paper trays
These are just a few examples of vertical and horizontal objects that can be found in a classroom.
It is important to recognize the different shapes and orientations of objects in our environment, as they can affect the way we perceive and interact with them.
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A local little league has a total of 60 players, of whom 40% are left-handed. How many left - handed players are there?
Answer:
24 players
Step-by-step explanation:
Answer:
24. 60 X 4/10 is 24
Step-by-step explanation:
Ryan has a collection of 1,200 pennies.
25% are dated before 1980
35% are dated from 1980-2000
the rest are dated after 2000
How many pennies in Ryan's collection are dated after 2000?
Answer:
480 Pennies.
Step-by-step explanation:
25% (1980) + 35% (1980-2000) = 60%
40% (2000+) Percent of 1200 is 480 Pennies.
5c=d for c
I need help with answering this math problem
Step-by-step explanation:
Let's solve for c.
5c=d
Step 1: Divide both sides by 5.
5c
5
=
d
5
c=
1
5
d
the central limit theorem says that a histogram of the sample means will have a bell shape, even if the population is skewed and the sample is small.True or False
Answer:
False
Step-by-step explanation:
Central Limit Theorem
The central limit theorem says that the sampling distribution of the mean will always be normally distributed, as long as the sample size is large enough
Find the unknown measure. 3.) Katie uses a copy machine to enlarge her rectangular design that is 5 in. wide and 8 in. long. The new width is 10 in. What is the new length?
Given dimensions of rectangular design:
Width = w1 = 5 in
Length = l1 = 8 in
As mentioned, Katie uses a copy machine to enlarge her rectangular design. Therefore,
new width = w2 = 10 in
new length = l2 = x in
Katie creates a large copy of the original design. Therefore, the ratio of length to width must remain the same (as the original design). So, we can write as:
\(\frac{l1}{w1}=\frac{l2}{w2}\)
Now, let's put all the values in the equation
\(\frac{8}{5}=\frac{x}{10}\)\(10\cdot\frac{8}{5}=x\)\(2\cdot8\text{ = x}\)or
x = 16
Therefore, the new length would be 16.
95% of ____ is 427.5
Answer: Hi! The answer is 406,125.
Step-by-step explanation: You can either go by 1%, meaning you divide 427,5 by 100 and then do x95, which gives you 95%, or you can do 427,5x0,95. Either way you get 406,125!
Answer:
406.125
Step-by-step explanation:
Which of the equations are true identities?
A. m^3-1= (m - 1) (1 + m + m²)
B. (n + 3)^2 + 2n = 8n + 13
Answer:
Equation A is true; Equation B is not
Step-by-step explanation:
There is a standard formula for the "difference of cubes" that is:
x^3 - y^3 = (x - y)(x^2 + xy + y^2)
and this perfectly matches equation A.
Equation B has the square of n (n^2) on the left side but not on the right side. Thus this is not an identity.
Dairy cows provide 90% of the world's milk supply. The
table shows the amount of milk produced by a cow over
time. If the pattern in the table continues, how much milk
can a farmer get from a cow in 1 year (365 days)?
Answer:
9,125 L
Step-by-step explanation:
The computation of the milk that can a farmer would get from a cow in one year is shown below:
As in the table it is shown that
In 2 days, the amount of milk is 50 L
In 7 days, the amount of milk is 175
and so on
So if we can see that the number of days should be multiplied by 25 to get the liters
So for 365 days, the milk would be
= 365 days × 25
= 9,125 L
When you are trying to discover whether there is a relationship between two categorical variables, why is it useful to transform the counts in a crosstabs to percentages of row or column totals
When analyzing categorical data, it is often useful to examine the relationship between two variables. Crosstabs, or contingency tables, are commonly used to display the counts of observations in each combination of the two variables. However, these raw counts can be difficult to interpret, especially if the totals for each variable are different.
By transforming the counts into percentages of row or column totals, we can better understand the patterns and relationships in the data. Percentages allow us to compare the proportions of one variable within each category of the other variable, regardless of the total number of observations. This can help us identify any trends or patterns in the data that may not be immediately apparent from the raw counts.
For example, suppose we have a crosstab of gender and favorite color. The raw counts may show that more females than males prefer blue, but it's difficult to know if this difference is meaningful without knowing the total number of males and females in the sample. By transforming the counts to percentages of row totals, we can see that 40% of females prefer blue, while only 30% of males do. This suggests that there may be a relationship between gender and favorite color.
Overall, transforming raw counts into percentages of row or column totals can help us better understand the relationship between two categorical variables, especially when the totals are different.
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How many hours is a 7am to 3pm shift?
Answer:
8 hours shift because you count from 7 am to 3pm
The total number of hours between the 7 am and 3 pm shift is 8 hours.
What is meant by the hour?
Depending on the speed of the Earth's rotation, an hour is a measure of time that is traditionally calculated as 1/24 of a day and scientifically estimated to last between 3,599 and 3,601 seconds. There are 24 hours in a day and 60 minutes in an hour.
The 24-hour day is divided into two sections, a.m. and p.m., according to the 12-hour clock time convention. Latin terminology for the hours of the day, AM and PM, are commonly employed. The abbreviations AM and PM stand for Ante meridiem and Post meridiem, respectively, which indicate before noon or midday and afternoon or midday. AM is used to denote the first 12-hour period, which runs from midnight to noon, and PM is used to denote the following 12-hour period, which runs from noon to midnight.
From 7 am to 12 pm, the number of hours = 5
From 12 pm to 3 pm, the number of hours = 3
Therefore the total number of hours between the 7 am and 3 pm shift is (3+5) = 8 hours.
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the number of men in a class is 4 less than ten times the number of women. let m represent the number of men and w represent the number of women. the number of women can be represented by
The number of women can be represented by the equation w = m+4 / 10.
What is the conditional ratio?
In order to test for conditional independence of two variables given the third variable, we use conditional odds ratios, which are odds ratios between two variables for fixed levels of the third variable.
The number of men = m,
The number of women = w,
We have given,
the number of men in a class is 4 less than ten times the number of women.
It means m = 10w -4
so,
m+4 = 10w
w = m+4 / 10
Hence, the number of women can be represented by the equation w = m+4 / 10.
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