Answer:
Step-by-step explanation:
1. 670
2. 25500
3. 140.55
4. 54
5. 159.5
Q2: 160 + 120 + 210 + 70 + 90 + 90 = 740
Q3: (160 x 120) + (70 x 90) = 25500
19200 + 6300
Q5: As = 1/2 \(\pi\) (6cm)^2
(6cm)^2 = 36cm
1/2 \(\pi\) (36)
\pi = 3.14159 x 36 = 113.09 / 2 = 56.54 cm^2 area
12 x 7 = 84 + 56.54 = 140.54cm^2
Q6: 11 + 9 + 20 + 14 = 54
Q7: 9 x 11 = 99
11 x 11 = 122 / 2 = 61 99 + 61 = 160^2
a recent poll of 300 executives' exercise habits revealed that 95 run and 127 bike. 49 reported that they bike and run for exercise. if one of these is executives is randomly selected, what is the probability that they run or bike for exercise? leave your answer as a number between 0 and 1. round to two decimal places.
The probability that they run or bike for exercise is 0.91
The probability that a randomly selected executive runs or bikes for exercise can be calculated by adding the probability of running and biking for exercise, subtracting the probability of running and biking for exercise simultaneously (which would be double counted).
This can be expressed mathematically as:
A recent poll of 300 executives revealed how they exercise.
95 reported running, 127 reported biking and 49 reported that they both bike and run for exercise.
If one of these executives is randomly selected, the probability that they run or bike for exercise is 0.91.
This can be calculated by adding the probability of running and biking for exercise, subtracting the probability of running and biking for exercise simultaneously (which would be double counted).
This shows that the majority of executives prefer to exercise by running or biking.
P(Run or Bike for exercise) = P(Run) + P(Bike) - P(Run and Bike)
Plugging in our given values, we get:
P(Run or Bike for exercise) = P(Run) + P(Bike) - P(Run and Bike)
P(Run or Bike for exercise) = 95/300 + 127/300 - 49/300
P(Run or Bike for exercise) = 0.91
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(ART) The art project Geometry in Art, falls under what art category
A. Elements of Art
B. Landscape
C. Portraint
D. Non-objective Art
The answer to the question "The art project Geometry in Art, falls under what art category?" is the "A.
Elements of Art".Geometry in art project Geometry in art refers to the incorporation of geometrical elements and principles in artworks such as paintings, sculptures, photographs, and designs. It is a technique used by artists to create visually appealing artworks that evoke emotions and convey messages.
By incorporating geometric shapes, artists can create illusions of space, movement, and depth in their artworks.
The Elements of art are the basic components or building blocks of an artwork. These elements include line, color, shape, form, texture, value, and space.
Artists use these elements to create visual interest, express emotions and convey meaning in their works. They are essential in the creation of art, and without them, artworks would lack visual appeal and aesthetic value.
Therefore, the art project Geometry in Art falls under the art category of "Elements of Art".
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If a city with a population of 50,00 doubles in size every 12 years, what will the population be 24 years from now?
Answer:
20,000
Step-by-step explanation:
5,000 x 2 = 10,000
10,000 x 2 = 20,000
Step-by-step explanation:
So this is the way I would look at this like, you could say that since it doubles by x2 every 12 years by 24 years it would or could be 200,00 since you have doubled once already from 50,000 to 100,000 on the 12 years your gonna multiple that by 2 as well since you have reached your year mark.
that's personally the way I would look at it but I'm sure other people will ne able to help aswell or change mine.
Rhonda, a 40-year-old woman, is trying to determine whether she should buy a $250,000 whole
life ($3008/year) or a 20-year term life policy ($185/year). She has been told that the whole life policy will earn 1.75%
interest compounded annually on her yearly premium. She has also found that if she invested
the difference in her policy premiums in a mutual fund she could be earning a 3.75% interest rate
compounded annually. At the end of 20 years which is the better value and by what amount?
Answer:
Step-by-step explanation:
To determine which option is the better value, we need to compare the accumulated value of the two policies at the end of 20 years.
Let's start by calculating the accumulated value of the whole life policy after 20 years. The yearly premium for the whole life policy is $3008, and it earns 1.75% interest compounded annually. The formula for compound interest is:
A = P(1 + r/n)^(nt)
Where:
A = Accumulated value
P = Principal (yearly premium)
r = Annual interest rate (in decimal form)
n = Number of times interest is compounded per year
t = Number of years
For the whole life policy:
P = $3008
r = 1.75% = 0.0175 (annual interest rate)
n = 1 (compounded annually)
t = 20 (number of years)
A = $3008(1 + 0.0175/1)^(1*20)
A ≈ $3008(1.0175)^20
A ≈ $3008(1.39885)
A ≈ $4205.61
After 20 years, the accumulated value of the whole life policy is approximately $4205.61.
Now, let's calculate the accumulated value of the term life policy with the difference invested in a mutual fund. The yearly premium for the term life policy is $185, and the difference in premiums is $3008 - $185 = $2823. This difference will be invested in a mutual fund with a 3.75% interest rate compounded annually.
Using the same compound interest formula:
P = $2823
r = 3.75% = 0.0375 (annual interest rate)
n = 1 (compounded annually)
t = 20 (number of years)
A = $2823(1 + 0.0375/1)^(1*20)
A ≈ $2823(1.0375)^20
A ≈ $2823(1.91446)
A ≈ $5403.61
After 20 years, the accumulated value of the term life policy with the difference invested in a mutual fund is approximately $5403.61.
Comparing the two accumulated values, we can see that the term life policy with the mutual fund investment is the better value. The difference in accumulated values is $5403.61 - $4205.61 = $1198.
Therefore, the term life policy with the mutual fund investment is better by approximately $1198 at the end of 20 years.
The value of y varies directly with x. If x = 16 when y = 20, find the value of y when x = 60?
Answer:
y = 75 when x = 60Step-by-step explanation:
To solve this, we will use a proportion, since x and y vary directly with each other.
16 / 20 = 60 / y
Step 1: Cross-Multiply16y = 1200
Step 2: Divide both sides by 1616y / 16 = 1200 / 16
y = 75
Step 3: Check16 / 20 = 60 / 75
1200 = 1200 ✅
y = 75 when x = 60PLS HELP ME, I REALLY NEED THIS RIGHT NOW, 100 POINTS, IF YOU ANSWER WITH NO EXPLANATION, OR ANSWER FOR THE POINTS YOU WILL BE REPORTED
A marine biologist is studying the growth of a particular species of fish. She writes the following equation to show the length of the fish, f(m), in cm, after m months:
f(m) = 4(1.08)m
Part A: When the marine biologist concluded her study, the length of the fish was approximately 6.86 cm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(m) represent? (2 points)
Part C: What is the average rate of change of the function f(m) from m = 3 to m = 7, and what does it represent? (4 points)
9514 1404 393
Answer:
0 ≤ m ≤ 70.4541 cm/month; average rate of growth over last 4 months of studyStep-by-step explanation:
Part A:
The study was concluded after 7 months. The fish cannot be expected to maintain exponential growth for any significant period beyond the observation period. A reasonable domain is ...
0 ≤ m ≤ 7
__
Part B:
The y-intercept is the value when m=0. It is the length of the fish at the start of the study.
__
Part C:
The average rate of change on the interval [3, 7] is given by ...
(f(7) -f(3))/(7 -3) = (4(1.08^7) -4(1.08^3))/4 = 1.08^3·(1.08^4 -1)
≈ 0.4541 cm/month
This is the average growth rate of the fish in cm per month over the period from 3 months to 7 months.
There are five cities in a country, and two are connected with one road that goes straight between them. How many roads would be in this country if there were 6 cities? 7 cities? And N cities? PLEASE SOLVE 20 POINTS!
For 6 cities, the number of roads would be 9. This is because each city must be connected to every other city, and there are 5 pairs of cities that need to be connected, which means 5 roads.
What is road?Roads are a form of transportation infrastructure consisting of a prepared surface for vehicles to travel on. They are typically made from asphalt or concrete and are designed to provide a safe and efficient means of travel.
Then, the remaining 4 cities need to be connected, which means 4 more roads for a total of 9.
For 7 cities, the number of roads would be 12. This is because each city must be connected to every other city, and there are 6 pairs of cities that need to be connected, which means 6 roads. Then, the remaining 5 cities need to be connected, which means 5 more roads for a total of 12.
For N cities, the number of roads would be equal to N(N-1)/2. This is because each city must be connected to every other city, and there are N(N-1)/2 pairs of cities that need to be connected. For example, if N = 10, then 10 × 9 = 90 pairs of cities need to be connected, which means 90 roads.
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Please help me! This is urgent!!!!!
Answer:
The first one would be reasonable, because the minutes late is 50, which is a little under 1 hour.
Explanation:
The 2nd one uses a negative value for m, you can't use a negative value when adding time.
The 3rd and fourth have fairly large numbers which are not typical for parents picking up their kids.
What is the area of this?
Answer:
Step-by-step explanation:
\(A=\frac{hb}{2}\\ \\ A=\frac{14(20)}{2}\\ \\ A=140ft^2\)
Answer:
150 ft
Step-by-step explanation:
You use Pythagoras theorem to work out the base of the triangle.
<3
Explain how two samples can have the same mean but different standard deviations. Draw a bar graph that shows the two samples, their means, and standard deviations as error bars.
Two samples can have the same mean but different standard deviations due to the spread of data around the mean. Standard deviation is a measure of how much the data values differ from the mean. The greater the deviation of the data points from the mean, the greater the standard deviation.
Two samples can have the same mean but different standard deviations because standard deviation is a measure of the spread of data around the mean. If the data values are tightly clustered around the mean, the standard deviation will be small. If the data values are spread out around the mean, the standard deviation will be large. Therefore, two samples can have the same mean but different standard deviations because the spread of data around the mean can be different for each sample.
Two samples can have the same mean but different standard deviations because the spread of data around the mean can be different for each sample. For example, consider two samples of test scores. Sample A has a mean score of 80 and a standard deviation of 5. Sample B has a mean score of 80 and a standard deviation of 10. The scores in Sample B have more variability than the scores in Sample A.In a bar graph, the means of the two samples can be represented by two bars with the same height. The standard deviations of the two samples can be represented by error bars on each bar. The error bars show the variability of the data in each sample. The length of the error bars for Sample B would be longer than the length of the error bars for Sample A.
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Choose the option that best describes the limiting values of T and a under the conditions given. Choose the option that best describes the limiting values of and under the conditions given.
A T=0 and a=0
B T=[infinity] and a=0
C T=mg and a=0
D T=[infinity] and a=g
E T=0 and a=[infinity]
F T=[infinity] and a=[infinity]
Option C best describes the limiting values of T and a under the conditions given. In this case, T represents tension and a represents acceleration.
Without the specific conditions mentioned, it is impossible to determine the exact limiting values of T and a. However, certain options can be ruled out based on common sense and physical laws. For example, option C (T=mg and a=0) is not possible as the tension in a string cannot be equal to the weight of an object. Option E (T=0 and a=[infinity]) is also not possible as a mass cannot have zero tension and infinite acceleration.
Based on these eliminations, the most reasonable options are A (T=0 and a=0) and D (T=[infinity] and a=g). In the former case, the object is not moving and there is no tension in the string. In the latter case, the object is in free fall and the tension in the string is negligible compared to the weight of the object.
However, it is important to note that the exact limiting values of T and a will depend on the specific conditions of the scenario, such as the mass of the object and the angle of the string.
Option C best describes the limiting values of T and a under the conditions given. In this case, T represents tension and a represents acceleration. When T=mg and a=0, it means that the tension in the system is equal to the gravitational force acting on the mass (mg) and the system is in equilibrium with no acceleration. This is a common scenario when an object is hanging from a rope or cable and not moving. The other options do not represent stable or realistic conditions for a physical system.
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The graph shows the distance, y, in miles, of a moving motorboat from an island for a certain amount of time, x, in hours:
What is the speed of the motorboat?
Group of answer choices
A. 35 miles per hour
B. 70 miles per hour
C. 105 miles per hour
D. 315 miles per hour
Answer: The speed of the motorboat is 70 miles per hour
Step-by-step explanation: Subtract the initial distance, 35, from the distance at any given time, then divide the remainder by the hours.
For example, at 2 hours, the distance shown on the graph is 175 miles
Subtract: 175 -35 = 140. Then divide 140/2 = 70
At 4 hours, the distance shown is 315 miles.
Subtract: 315 - 35 = 280. Then divide 280/4 = 70
70 mph is the speed.
5. Find the area of the composite figure.
14 in.
12 in.
20 in.
10 in
(
Answer:
240 inch
Step-by-step explanation:
Clara is building a triangular garden. She wants the length of the longest side to be three more than twice as long as the length of the shortest side, and the third side will be twelve feet long.
Answer:
3s+15
Step-by-step explanation:
let 's' be the length of the shortest side
-> twice as long as the length of the shortest side =2s
->length of the longest side to be three more than twice as long as the length of the shortest side = 2s + 3
-> the third side= 12 feet
p = s + 12 + 2s+3
p= 3s+15
can someone please help me
Answer:
Y is less than or equal to -1
(x2 + 2xy + y2)(x+1)
A) X3 + 2x2y + x2 + y2 +xy2
B) X2 + 2xy + y2
C) x3 + x2 +2x2y +xy2 + y2 + 2xy
D) x2 + y2 + 2xy + x + 1
Please show me how you solved it, I'm struggling with these and need an example to follow off of to complete the assignment so I can understand it better. Thank you!
Answer: x3 + x2 +2x2y +xy2 + y2 + 2xy
Seven more than the product of five and a number is 45.
Answer:
7+(5n)=45
n= 7.6
Step-by-step explanation:
A recipe for chocolate chip cookies uses 3 tablespoons of cookie batter for every 2 tablespoons of chocolate chips. The line represents the relationship between the amount of cookie batter and the amount of chocolate chips needed to make a batch of cookies according to the recipe. The point (1, 1.5) is on the line. Label the axes appropriately. (1.1.5)
EXPLANATION
Let's see the facts:
Recipe:
3 tablespoons of cookies ------> 2 tablespoons of chocolate chips
Let x be the tablespoons of chocolate chips and y be the tablespoons of cookies.
The point (1,1.5) is a part of the line, so x=1 and y=1.5
So, we have two ordered pairs:
(x_1,y_1)= (1,1.5) and (x_2,y_2)= (2,3)
The slope is given by the following equation:
\(\text{Slope}=\frac{y_2-y_1}{x_2-x_1}=\frac{3-1.5}{2-1}=\frac{1.5}{1}=1.5=3/2\)The line equation is:
y = (3/2)x + b where m= 3/2 and b is the y-intercept
Now, subtituting either one ordered pair:
3=(3/2)*(2) + b
Multiplying terms:
3 = 3 + b
Subtracting -3 to both sides:
3 - 3 = b
Simplifying:
0 = b
Switching sides: b = 0
So the equation is:
y = (3/2)x
Now, mapping the line:
PLEASE HELP
You want to buy a pet rabbit that costs $242. You already have $62 and you plan to save $12 per week. If w represents the number of weeks until you have enough money to buy the rabbit, what equation could you use to find the value of w?
A. 12-62w=242
B. 12w-62=242
C.62w-12=242
D. 12w+62=242
Answer: b
Step-by-step explanation:
Suppose h” is continuous at x = 2,h' (2) = 0, and h” (2) < 0.
What can you say about the behavior of h at X = 2?
Answer:
Hello,
Step-by-step explanation:
h(x) has a minimum at x= 2. (h(x) is turning down at x=2)
I have suppose that h''(2 + ) <0 and h''(2 -) <0
Sam and Tyrone are running on a trail. Sam reaches the 4th mile marker at the same time that Tyrone reaches the 1st mile marker. From the 4th mile marker, Sam runs another mile every 10 minutes. From the 1st mile marker, Tyrone runs another mile every 6 minutes. After how many minutes will Sam and Tyrone meet? A) 60 minutes B) 45 minutes C) 36 minutes D) 40 minutes
If Sam and Tyrone are running on a trail. Sam reaches the 4th mile marker at the same time that Tyrone reaches the 1st mile marker. The number of minutes that Sam and Tyrone meet is: B) 45 minutes .
How to find the number of minutes?Speed = Distance/Time
Sam speed = 1/10 mile/minute
Tyrone speed = 1/6 mile/minute
Time distance covered by Tyrone= (4-1) + x
Time taken= t
Hence,
x/(1/10) = (3 + x)/(1/6)
10x = 6(3 + x)
10x = 18 + 6x
4x = 18
x = 9/2
Time ( t) =x/(1/10) = (3 + x)/(1/6)
Time ( t) = (9/2)/(1/10)
Time ( t) = 45 minute
Therefore the correct option is B.
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Write the first expression in terms of the second if the terminal point determined by t is in the given quadrant. cos(t), sin(t); quadrant iv
if the terminal point indicated by t is in the provided quadrant, the first equation in terms of the second quadrant iv; cos(t), sin(t). \(\sin t=\sqrt{1-\frac{1}{\sec ^2 t}}\)
What is Trig Identities?Trig identities come in handy when we need to express one trig function in terms of another. The most famous trig identity is derived straight from the Pythagorean Theorem:
sin² t + cos² t = 1
According to the given data:For an angle t in Quadrant IV, we know sin t is positive.
From the trig identity sin² t + cos² t = 1
we can also write as:
sin t + cos t:
Now,
sin² t + cos² t = 1
sin² t = 1 - cos² t
sin t = ±√( 1 - cos² t)
As noted above,
sin t is positive for t in the Quadrant IV, and so we have
sin t = √( 1 - cos² t)
We know that
\(\cos t=\frac{1}{\sec t}\)
So, the equation will be
\(\sin t=\sqrt{1-\frac{1}{\sec ^2 t}}\)
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Find the measures of two supplementary angles if their measures are in the given ratio.
2:3
Answer:
The measures of the two angles are 72° and 108°
Step-by-step explanation:
Let us revise the meaning of supplementary angles.
The supplementary angles are the angles whose sum of measures
equal to 180°
∵ The ratio between the two supplementary angles is 2 : 3
∵ The sum of the supplementary angles is 180°
→ Let us use the ratio method to solve the question
⇒ ∠1 : ∠2 : ∠1 + ∠2
⇒ 2 : 3 : 5 (2 + 3)
⇒ ? : ? : 180
By using cross multiplication
∵ ∠1 = (2 × 180) ÷ 5
∴ ∠1 = 360 ÷ 5
∴ ∠1 = 72°
∵ ∠2 = (3 × 180) ÷ 5
∴ ∠2 = 540 ÷ 5
∴ ∠2 = 108°
∴ The measures of the two angles are 72° and 108°
Which algebraic expression represents the phrase “fourteen increased by a number”?
Answer: 14 + x
Step-by-step explanation:
The number 14 is given. The number being added to 14 is unknown. Thus, we can assign it a variable. I have chosen x. Add x (or any variable representing a number) to 14, for the expression 14 + x.
A person runs 1/2 miles in 1/16 hour
Answer:
He runs a mile in 1/8 of an hour
he can run 8 miles in one hour
Step-by-step explanation:
Becca made 2 trays of rolls and bisouits. Each tray had 12 folls and 6 biscuits. How many total rols and bisouits did Beca make?
Becca made a total of 24 rolls and 12 biscuits.
Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division. The result of a multiplication operation is called a product.
Becca made 2 trays of rolls and biscuits, with 12 rolls and 6 biscuits in each tray. To find the total number of rolls and biscuits, we need to multiply the number of rolls and biscuits per tray by the number of trays, and then add them together:
Total rolls = 2 trays × 12 rolls per tray = 24 rolls
Total biscuits = 2 trays × 6 biscuits per tray = 12 biscuits
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Solving an Equation with Decimals
What is the solution to the equation 13.7y = 6.2y + 30?
y = –4
y = –1.5
y = 1.5
y = 4
please help me my dudes and dudettes
Answer:
y = 4
Step-by-step explanation:
It takes Jesse hour to mow her backyard. How much of the yard will be mowed after hour? Choose the model that correctly illustrates the division problem 2 3
Given Data:
The time taken to compleat one yard is: 1 hour.
The expression to calculate the total yard made in 1/4 hour is,
\(undefined\)2. Solve for y.
A 10.5
B 9
C 13.5
D 12
A hospital director is told that 79% of the emergency room visitors are insured. The director wants to test the claim that the percentage of insured patients is not the expected percentage. A sample of 260 patients found that 195 were insured. At the 0.05 level, is there enough evidence to support the director's claim
The probability computed shows that there ia enough evidence to support the director's claim.
How to illustrate the probability?From the information given, the hospital director is told that 79% of the emergency room visitors are insured.
p = 0.79
q = 1 - 0.79 = 0.21
The computation of the z value is -1.91. This is a two tailed test.
The p-value will be:
= P(Z < -1.91)
= 0.0562 under the distribution table.
In this case, the p value is less than 0.10, therefore, we reject the null hypothesis.
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