Answer:
1 mile every 6 minutes because 30 divided by 5 is 6 and 5 divided by 5 is 1
Step-by-step explanation:
I hoped this helped and if it did I would appreciate it if you marked me brainliest. Thank you and have a nice day!
what is the circumference of this circle
The circumference of the circle is 12.56 km
How to determine the circumference of the circle?From the question, we have the following parameters that can be used in our computation:
Shape = Circle
Radius = 2 km
The circumference of a circle is the perimeter of the circle
i.e. the sum of the units of the arc that surrounds the circle
The circumference equation is represented as
Circumference = 2πr
Substitute the known values in the above equation, so, we have the following representation
Circumference = 2π * 2 km
Evaluate the products in the equation
So, we have
Circumference = 4π km
Substitute π = 3.14
So, we have
Circumference = 4 * 3.14 km
Evaluate
Circumference = 12.56 km
Hence, the circumference is 12.56
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Find the magnitude and direction of the vector u = <-4, 7>
The magnitude and direction of the vector u = <-4, 7> are |u| ≈ √65 and θ ≈ 119.74°.
To find the magnitude and direction of the vector u = <-4, 7>, we will use the following steps:
1. Calculate the magnitude using the Pythagorean theorem.
2. Calculate the direction using the arctangent function.
Step 1: Calculate the magnitude.
Magnitude (|u|) = √((-4)^2 + (7)^2) = √(16 + 49) = √65
Step 2: Calculate the direction (angle θ).
θ = arctan(opposite/adjacent) = arctan(7/-4) ≈ -60.26° (in degrees)
Since the vector is in the second quadrant, we need to add 180°.
θ = -60.26° + 180° ≈ 119.74°
So, the magnitude and direction of the vector u = <-4, 7> are |u| ≈ √65 and θ ≈ 119.74°.
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center (3,-2), radius =5
Answer:
(x-3^2+y+2^2 =25
Step-by-step explanation:
Over the summer, Jackie played video games 3 hours per day. When school began in the fall, she was only allowed to play video games for half an hour per day. What is the percent decrease? Round to the nearest percent
Answer:
percent decrease
Step-by-step explanation:
I believe it is 75% sorry if I'm wrong
Answer:
83%
Step-by-step explanation:
original amount:3
final amount: 0.5
percent change= amount of change/original amount
amount of change = greater value-lesser value =3-0.5=2.5
percent change=2.5/3=0.83=83%
the time to fly between new york city and chicago is uniformly distributed with a minimum of 120 what is the distributors mean
The probability that a flight between New York City and Chicago is between 125 and 140 minutes is 50%.
To find the probability that a flight is between 125 and 140 minutes, we need to calculate the proportion of the total possible outcomes that fall within that range.
The total range of possible flight times is 150 - 120 = 30 minutes.
The range of interest is 140 - 125 = 15 minutes.
Therefore, the probability is given by the ratio of the range of interest to the total range:
Probability = (Range of interest) / (Total range) = 15 / 30 = 0.5.
So, the probability that a flight is between 125 and 140 minutes is 0.5 or 50%.
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--The given question is incomplete, the complete question is given below " The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120
minutes and a maximum of 150 minutes. What is the probability that a flight is between
125 and 140 minutes?"--
Q19. Four positive whole numbers add up to 36
One of the numbers is a multiple of 7
The other three numbers are equal.
Work out the result when the four numbers are multiplied.
Answer:
Step-by-step explanation:
let the numbers be 7x,y,y,y.
7x+3y=36
3y=36-7x
\(y=\frac{36-7x}{3} \\let~x=3\\y=\frac{36-7 \times 3}{3} =\frac{15}{3} =5\\\)
numbers are 7×3,5,5,5
or 21,5,5,5
21×5×5×5=2625
A letter is selected at random from the alphabet. What is the probability it is NOT a vowel?
Total number of letters in alphabet = 26
Number of vowels = 5
Number of letters not vowels(consonants) = 21
Let's find the probability that a letter selected at random is not a vowel.
To find the probability, we have the formula:
\(undefined\)A business uses straight-line depreciation to determine the value y of an automobile over a 5-year period. Suppose the original value (when t=0) is equal to $14,500 and the salvage value (when t=5) is equal to $4,000.
a) By how much has the automobile depreciated over the 5 years?
b) By how much is the value of the automobile reduced at the end of each of the 5 years?
c) Write the linear equation that models the value s of this automobile at the end of year t.
For this problem. it is found that:
a) The automobile has depreciated 75% in 5 years.
b) The value of the automobile was reduced by $10,500 in five years.
c) The linear function is: s(t) = 14,500 - 2,100t.
What is a linear function?A linear function is modeled by:
y = ax + b
In which:
a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.From the problem, we have that:
a) The automobile has depreciated 75% in 5 years, as 4000/14500 = 0.25, and 100% - 25% = 75%.
b) The value of the automobile was reduced by $10,500 in five years, as 14500 - 4000 = $10,500.
For the linear function, we have that:
The initial value is b = 14500.The slope is of a = -10500/5 = -2100.Hence the linear function is: s(t) = 14,500 - 2,100t.
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Order the following numbers from greatest to least: -2, ½, 0.76, 5, √2, π. A. 5, π, √2, 0.76, -2, ½ B. 5, π, √2, 0.76, ½, -2 C. -2, 0.76, ½, √2, π, 5 D. -2, ½, 0.76, √2, π, 5
The correct order in greatest to least is A) 5, π, \(\sqrt{2}\), 0.76, -2, 1/2.
Ordering the numbers from greatest to least: 5, π, √2, 0.76, -2, ½
To order the numbers from greatest to least we need to check all the numbers given and then we specify the smallest and largest value corresponding to the given numbers. Also ordering can be done in ascending order from least to greatest value which is increasing order.
If we want to specify the descending order for the given numbers the order of ascending will be totally reversed. Then we will get the numbers from greatest to the least in order which means decreasing order.
Therefore, the answer is (A) 5, π, \(\sqrt{2}\), 0.76, -2, 1/2.
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Shreya enlarged the size of a rectangle to a width of 5.5 in. What is the new height if it was originally 1.1 in wide and 6.8 in tall?
Answer:
I believe that it is 34
Step-by-step explanation:
Surah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 13 people took the trip. She was able to purchase coach tickets for $240 and first
class tickets for $1180. She used her total budget for airfare for the trip, which was $11,580. How many first class tickets did the buy? How many coach tickets did she buy?
Question 1.number of first class tickets bought -
Answer:
781.54
Step-by-step explanation:
240+1180= 1420
11580-1420 = 10160
10160÷13 ~=~ 781.54
PLACE as brainliest
Answer:
9 first class tickets
4 coach tickets
Step-by-step explanation:
Let x = number of first class tickets bought
Let y = number of coach tickets bought
Given:
A total of 13 people took the trip⇒ x + y = 13
Given:
Total cost of first class tickets = $1180Total cost of coach tickets = $240 Total budget = $11,580⇒ 1180x + 240y = 11580
Rewrite first equation to make y the subject:
⇒ y = 13 - x
Substitute this into the second equation and solve for x:
⇒ 240(13 - x) + 1180x = 11580
⇒ 3120 - 240x + 1180x = 11580
⇒ 940x = 8460
⇒ x = 9
Therefore, 9 first class tickets were bought.
To find the number of coach tickets bought, simply substitute the found value of x into equation 1 and solve for y:
⇒ 9 + y = 13
⇒ y = 4
Therefore, 4 coach tickets were bought.
1. What is Data Analysis? Give an example that may relate into your life 2. What is statistics and probability? Why is it important in data analysis? 3. What is a sample space,sample point and events 4. Give an example of a distribution and then define.
1. Data analysis refers to the process of inspecting, cleaning, transforming, and modeling data
2. Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data.
3. A sample point, also known as an elementary event, is a specific outcome or element within the sample space.
4. The normal distribution (also known as the Gaussian distribution) is a commonly encountered distribution in statistics.
What is data analysis?Data analysis is the procedure of scrutinizing, purifying, converting, and modeling data in order to make conclusions and extract valuable insights. It entails using a variety of statistical and analytical approaches to sift through the data in order to find patterns, trends, and relationships.
Analyzing survey results on customer satisfaction for a good or service is an example from real life.
Data collection, analysis, interpretation, presentation, and organization are all topics that fall under the purview of statistics, a subfield of mathematics. It includes methods for describing and summarizing data, inferring information from observations, and drawing conclusions.
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HELP ME TODAY PLEASE ITS REALLY HARD FOR ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
10. a. no
b. yes
c. no
d. no
e. no
11. a. yes
b. no
c. yes
d. no
e. no
sixteen is seven plus three times a number find the number
Answer: x=3
Step-by-step explanation:
16 = 7 + 3x
9 = 3x
3 = x
:0
I need help with solving this equation! ( answer is supposed to be 3.888 but I have been getting a different answer every time!) 3.24 x 1.2
Answer:
I got 3.888 because when 4×2=8 and 2×2=4 and 3×2=6 so for my first row of numbers was 648 under 0 I put a 0 then multiplied 3.24 by 1 then added 648+3240=3.888
Answer:
Step-by-step explanation:
If you can't use a calculator break it apart.
1 X 3.24 is 3.24
Now take .2 x 3.24 this is easy, just remember to move the decimal in the answer one more to the left.
3.24
x .2
.684 moved the decimal one more spot
Now we take 3.24 + .684
3.24
+ .648
3.888
Find the value of x
that makes △DEF∼△XYZ
.
Answer:
x = 4
Step-by-step explanation:
DE / XY = EF / YZ
5 / 10 = 2x-1 / 14
cross-multiply:
10(2x-1) = 14(5)
20x - 10 = 70
20x = 80
x = 4
4 A home-decorating company is determining the amount of fabric required for a customer's window treatments. A single window requires 13 yards and a double 7 window requires 16, yards of fabric. If there are two single windows and one double window, how much fabric is required?
The solution will be that the home-decorating company will require 42 yards of fabric for the customer's window treatments.
As per the information we have received from the question,
A single window requires 13 yards and a double window requires 16 yards of fabric. We are asked to find out the length of fabric that will be required by the home-decorating company, in case there were 2 single windows and 1 double window. The total amount of fabric that will be required by the home-decorating company is hence equal to
13×(no of single windows)+ 16×(no of double windows)
Here, no of single windows= 2
And, no of double window= 1
Hence, total fabric length=13×2 + 16×1=26 + 16=42 yards
Hence the solution is 42 yards of fabric.
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another one, can anyone show a step by step to changing 0.84 to a fraction?
Step-by-step explanation:
0.84 x100
-------
1 x100
84
------- simplify (find the highest common
100 factor)
84 divide by 4
------
100 divide by 4
21
-----
25
which types of triangles can always be used as a counterexample to the statement ""all angles in a triangle are acute""?
An equilateral triangle is a type of triangles which can always be used as a counterexample to the statement ""all angles in a triangle are acute"".
What is acute angle?An acute angle is one that is smaller than 90 degrees in length. If the arms of an angle open up less than a "L," an acute angle is created because a "L" shape forms at 90°.
What are obtuse angle?Angle between 90 to 180 are known as obtuse angle.
Because an equilateral triangle is likewise equiangular, it can be used as a counterexample. So, each angle has a 360/3=60 measurement. Two angles are therefore acute, and the third's measure is also acute.
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Serial box manufacturer change the size of a box to increase the amount of cereal contains the expressions 10+6.3 n and 7 +6.5n where nis the number of smaller boxes are both representative of the amount of cereal that the new larger box contains how many more boxes equal the same amount of cereal in a larger box
To determine the number of smaller boxes that would contain the same amount of cereal as a larger box, we set the expressions representing the cereal content equal to each other. Solving the equation, we find that 15 smaller boxes are required to match the cereal quantity in the larger box.
To find the number of smaller boxes that equal the same amount of cereal in a larger box, we need to equate the two expressions and solve for n.
Setting the expressions equal to each other:
10 + 6.3n = 7 + 6.5n
Simplifying the equation:
6.3n - 6.5n = 7 - 10
-0.2n = -3
Dividing both sides by -0.2:
n = -3 / -0.2
n = 15
Therefore, 15 smaller boxes would equal the same amount of cereal as the larger box.
The problem states that the expressions 10 + 6.3n and 7 + 6.5n represent the amount of cereal in the new larger box. The variable n represents the number of smaller boxes.
To find how many smaller boxes are equivalent to the larger box, we need to set the two expressions equal to each other and solve for n. This equation represents the balance between the amount of cereal in the larger box and the combined amount of cereal in the smaller boxes.
By simplifying the equation and solving for n, we find that 15 smaller boxes are needed to equal the same amount of cereal as the larger box.
This means that if the cereal manufacturer wants to package the same amount of cereal as the larger box, they would need to use 15 smaller boxes instead. This calculation helps the manufacturer determine the number of smaller boxes needed to maintain the same quantity of cereal while changing the box size.
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sean had 40 red marbles and 36 green marbles.he won some more red marbles and the number of green marbles is now 2/5 of sean total marbles. how many red marbles did he win
Answer:
14
Step-by-step explanation:
*Notice that number of green marbles did not change throughout
Therefore,
36 green marbles -> 2/5 of Sean total marbles
Sean's total marbles = 36/2 *5 = 90
Number of red marbles won = 90-36-40 = 14
You are measuring the height of a spruce tree. You stand 45 feet from the base of the
tree. You measure the angle of elevation from the ground to the top of the tree to be
59. Find the height h of the tree to the nearest foot.
Provided the given distance and the angle of elevation, Using the trigonometry in the right angled triangle formed, The answer is 74.89 feet.
What is trigonometry?Trigonometry is the branch of mathematics that deals with the relationships between the angles and sides of triangles, particularly right triangles. Trigonometry is used to study properties such as lengths, angles, and areas of triangles and the relationships between them. It is also used in many fields, including physics, engineering, and navigation. Trigonometry is based on the study of the ratios of the sides of a right triangle. The three main ratios are sine, cosine, and tangent. These ratios are defined using the right triangle's angles and are often abbreviated as sin, cos, and tan. In addition to these three main ratios, there are also several other trigonometric functions, including cosecant, secant, and cotangent. These functions are the reciprocals of the sine, cosine, and tangent functions, respectively.
What is a right triangle?A right triangle is a type of triangle that has one angle that measures exactly 90 degrees. This angle is called the right angle and the two sides that form the angle are called the legs of the triangle. The side opposite the right angle is called the hypotenuse. A right triangle can also be defined as a triangle that has a 90-degree angle and two acute angles. The legs of the triangle are the sides that are opposite the acute angles, and the hypotenuse is the side that is opposite the right angle.
tan(A) = rise/run
tan(59) = height/45
height = tan(59)*45
=74.89 feet
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Ben's monthly housing costs for his new home will be $2100 per month. What
must his monthly net income be to keep housing as 30% of his budget?
The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
The monthly net income to keep housing a 30% of his budget is $7000.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
Cost of monthly housing per month = $2100
$2100 = 30%
Monthly income = 100%
30% = 2100
Multiply 100/30 on both sides.
100/30 x 30% = 100/30 x 2100
100% = 7000
Thus,
The monthly net income to keep housing a 30% of his budget is $7000.
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10000000000000023486851765498487984 + 189454+818945184654988484
Jasmine’s cell phone company charges her $35 a month for phone service plus 0.50 for each text message. How many text messages does Jasmine send in a month if her bill was $52?
a. Write an equation using t for the number of text messages.
b. Solve the equation.
Answer:
35+0.50t=52
Step-by-step explanation:
52-35=17
.50t=17
17/0.50
T=34
In the given figure ABCD, prove that
angleBCD= angleBAD+ angle ABC+angle ADC.
[Hint: Join A and C then extended AC to the point E]
We have proved that Angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.
To prove that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, we can use the following steps:
Step 1: Join points A and C with a line segment. Let's label the point where AC intersects with line segment BD as point E.
Step 2: Since line segment AC is drawn, we can consider triangle ABC and triangle ADC separately.
Step 3: In triangle ABC, we have angle B + angle ABC + angle BCA = 180 degrees (due to the sum of angles in a triangle).
Step 4: In triangle ADC, we have angle D + angle ADC + angle CDA = 180 degrees.
Step 5: From steps 3 and 4, we can deduce that angle B + angle ABC + angle BCA + angle D + angle ADC + angle CDA = 360 degrees (by adding the equations from steps 3 and 4).
Step 6: Consider quadrilateral ABED. The sum of angles in a quadrilateral is 360 degrees.
Step 7: In quadrilateral ABED, we have angle BAD + angle ABC + angle BCD + angle CDA = 360 degrees.
Step 8: Comparing steps 5 and 7, we can conclude that angle B + angle BCD + angle D = angle BAD + angle ABC + angle ADC.
Step 9: Rearranging step 8, we get angle BCD = angle BAD + angle ABC + angle ADC.
Therefore, we have proved that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.
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Given: Quadrilateral \(\displaystyle\sf ABCD\)
To prove: \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\)
Proof:
1. Draw segment \(\displaystyle\sf AC\) and extend it to point \(\displaystyle\sf E\).
2. Consider triangle \(\displaystyle\sf ACD\) and triangle \(\displaystyle\sf BCE\).
3. In triangle \(\displaystyle\sf ACD\):
- \(\displaystyle\sf \angle ACD = \angle BAD + \angle ADC\) (Angles of a triangle add up to \(\displaystyle\sf 180^\circ\)).4. In triangle \(\displaystyle\sf BCE\):
- \(\displaystyle\sf \angle BCE = \angle BAD + \angle ABC\) (Angles of a triangle add up to \(\displaystyle\sf 180^\circ\)).5. Since \(\displaystyle\sf \angle BCE\) and \(\displaystyle\sf \angle BCD\) are corresponding angles formed by transversal \(\displaystyle\sf BE\):
- \(\displaystyle\sf \angle BCE = \angle BCD\).6. Combining the equations from steps 3 and 4:
- \(\displaystyle\sf \angle BCD = \angle ACD = \angle BAD + \angle ADC\). - \(\displaystyle\sf \angle BCD = \angle BCE = \angle BAD + \angle ABC + \angle ADC\).Therefore, we have proven that in quadrilateral \(\displaystyle\sf ABCD\), \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\).
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
4x(3x - 1) - 2(3x + 1) - (x + 3)
Answer:
\(12x^{2} -11x-5\)
Step-by-step explanation:
1) Distribute
\(4x(3x-1)-2(3x+1)-(x+3)\\12x^{2} -4x-2(3x+1)-(x+3)\)
2) Distribute
\(12x^{2} -4x-2(3x+1)-(x+3)\\12x^{2} -4x-6x-2-(x+3)\)
3) Distribute
\(12x^{2} -4x-6x-2(x+3)\\12x^{2} -4x-6x-2-x-3\)
4) Subtract the numbers
\(12x^{2} -4x-6x-2-x-3\\12x^{2} -4x-6x-5-x\)
5) Combine like terms
\(12x^{2} -4x-6x-5-x\\12x^{2} -11x-5\)
Estimate √172 to the nearest tenth. Locate the irrational number on a number line.
The irrational number on a number line is 13.1. All real numbers that are not rational are considered irrational numbers. In other words, it is impossible to describe an irrational number as the ratio of two integers.
What is irrational number ?All real numbers that are not rational numbers are referred to be irrational numbers in mathematics. In other words, it is impossible to describe an irrational number as the ratio of two integers.There is no length, no matter how short, that could be used to express the lengths of both of the two supplied segments as integer multiples of itself.
Square Root of 172 to the nearest tenth, means to calculate the square root of 172 where the answer should only have one number after the decimal point.
CalculateWe calculate the square root of 172 to be:
√172 = 13.11487704860400
ReduceReduce the tail of the answer above to two numbers after the decimal point: 13.11
RoundRound 13.11 so you only have one digit after the decimal point to get the answer: 13.1
To check that the answer is correct, use your calculator to confirm that 13.1² is about 172.
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True/False. what body of water do these archaeologists believe the cities of sodom and gomorrah were near?
True/False question cannot be answered with a "main answer". However, the archaeologists do believe that the cities of Sodom and Gomorrah were near the Dead Sea.
The location of Sodom and Gomorrah is a subject of debate among archaeologists and scholars. Some believe that they were located near the Dead Sea, while others propose different locations. However, the prevailing theory is that they were situated near the Dead Sea, which is a salt lake bordered by Jordan to the east and Israel and Palestine to the west.
The true/false question you have posed cannot be answered with a long answer as it is a binary question. However, if you want to know more about the archaeology and history of Sodom and Gomorrah, there is a wealth of information available online and in scholarly articles and books. The story of Sodom and Gomorrah is a biblical tale that recounts the destruction of two cities by God due to their wickedness. The story appears in both the Book of Genesis in the Hebrew Bible and in the Quran. Archaeological evidence suggests that there were settlements in the area of the Dead Sea around the time the story of Sodom and Gomorrah is said to have occurred, but there is no conclusive proof that these were the cities referred to in the Bible. Some scholars argue that the story is a myth, while others believe that there is a historical basis for it. Regardless of the veracity of the tale, the story of Sodom and Gomorrah has captured the imagination of people for centuries and continues to be a subject of scholarly inquiry.
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The mean, median and mode of the numbers below are the same,
what is the value of a?
6, 2, a, 7, 4, 9,6
Answer:
8
Step-by-step explanation:
Put the numbers in order from lowest to highest. Add all the numbers together. We will ignore a for this step. You should get 34 when adding it all together. Then if you were to add 8 to that 34 you'd get 42. Divide 42 by the amount of numbers you have which is 7. Your answer is 6. Now to make sure 8 is our value. We want to make sure the median is also 6. to find the median you need to have the numbers in order for lowest to highest and find the number in the middle. Don't forget to add your new number 8 into that order. You should get 6 as the median. Therefore our answer is 8