Answer:
True
Number of people is dependent
Answer:
true because it's hots and people cool of by getting by getting the water
To investigate whether or not sending text messages while driving impacts driving ability, we had 100 participants (50 men and 50 women) drive an obstacle course under one of the following conditions: 1) no texting while driving, 2) sending five text messages while driving, or 3) sending 10 text messages while driving. We measured the accuracy with which the subjects drove the obstacle course from a scale of 1 to 10 (1 = poor and 10 = excellent).We are testing the effect of sending text messages at three different _____.
a. treatments
b. levels
c. factors
d. None of the above
Answer:
A - treatments
Step-by-step explanation:
We are told the 100 participants were required to drive under 1 of the 3 conditions below which are;
- no texting while driving.
- sending five text messages while driving
- sending 10 text messages while driving
In experimental a research, these 3 conditions are referred to as treatments because they are used to derive an experimental result.
PLEASE HELPPP THANKS
Answer: The last option. X is greater than or equal to -3
Step-by-step explanation:
If you are searching for all of the values highlighted in red, then it must be every single value greater than x=-3 including the value itself (the dot located on the value is shaded, therefore you must include it within the domain).
The test scores for a group of students are shown.
60, 69, 79, 80, 86, 86, 86, 89, 90, 100
Calculate the five number summary of the data set? Minimum = First Quartile (Q1) = Median = Third Quartile (Q3) = Maximum = What is the interquartile range (IQR) Which test score is an outlier?
60
69
90
100
Answer:
Minimum=60
First Quartile(Q1)=79
Median=86
Third Quartile (Q3)=89
Interquartile range (IQR)=10
how do i solve 1-(1+.04/12)^-12x10
To solve the expression 1 - (1 + 0.04/12)^(-12x10), you can follow these steps: Step 1: Simplify the exponent. In this case, -12x10 simplifies to -120.
Step 2: Evaluate the term within the parentheses first. 0.04/12 simplifies to 0.0033333 (approximately).
Step 3: Add 1 to 0.0033333 to get 1.0033333.
Step 4: Raise 1.0033333 to the power of -120.
Step 5: Calculate the value inside the parentheses using a calculator or software. The result is approximately 0.742657.
Step 6: Subtract the value obtained in Step 5 from 1.
1 - 0.742657 = 0.257343 (approximately).
Hence, the value of the expression 1 - (1 + 0.04/12)^(-12x10) is approximately 0.257343.
It's important to follow the order of operations (PEMDAS/BODMAS) when solving mathematical expressions. In this case, the exponent is evaluated first, followed by addition and subtraction. Utilizing a calculator or software that supports exponentiation and parentheses can help simplify complex expressions and obtain accurate results efficiently.
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Points A (4, 3), B (6, 4), C (5, 6) and D (3, 5) are the vertices of a square ABCD. The square ABCD is reflected about the line through (0, 0) and (-2, 2). Find the vertices of the image of the square ABCD and present both the figures on the same graph.
The vertices of the reflected square.
Let's calculate them:
A' = (-0.914, 3.914)
B' = (-2.828, 5.828)
C' = (-0.086, 7.086)
D' = (1.828, 5.172)
The vertices of the image of the square ABCD after reflecting it about the line through (0, 0) and (-2, 2), we can use the following steps:
Find the equation of the reflection line:
The reflection line passes through (0, 0) and (-2, 2).
We can calculate the slope (m) of the line using the formula (y2 - y1) / (x2 - x1):
m = (2 - 0) / (-2 - 0) = 2 / -2 = -1.
Using the point-slope form of a line (y - y1) = m(x - x1), we can use either of the given points to write the equation of the line:
y - 0 = -1(x - 0)
y = -x.
Find the midpoint of each side of the square:
The midpoints of the sides of a square are also the midpoints of its diagonals.
The midpoint of AB is ((4+6)/2, (3+4)/2) = (5, 3.5).
The midpoint of BC is ((6+5)/2, (4+6)/2) = (5.5, 5).
The midpoint of CD is ((5+3)/2, (6+5)/2) = (4, 5.5).
The midpoint of DA is ((3+4)/2, (5+3)/2) = (3.5, 4).
Reflect the midpoints about the line:
To reflect a point (x, y) about the line y = -x, we can find the perpendicular distance (d) from the point to the line and use it to determine the reflected point.
The perpendicular distance d from the line y = -x to a point (x, y) is given by the formula:
d = (y + x) / √(2).
The coordinates of the reflected points can be found using the formula for reflection across a line:
x' = x - 2d / √(2)
y' = y - 2d / √(2).
Calculate the reflected vertices:
The coordinates of the reflected vertices are as follows:
A' = (4 - 2(3.5 + 5) / √(2), 3 - 2(3.5 - 5) / √(2))
B' = (6 - 2(5 + 5) / √(2), 4 - 2(5 - 5) / √(2))
C' = (5 - 2(5.5 + 5) / √(2), 6 - 2(5.5 - 5) / √(2))
D' = (3 - 2(4 + 5) / √(2), 5 - 2(4 - 5) / √(2))
Now we can plot the original square ABCD and its image A'B'C'D' on the same graph to visualize the reflection.
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If Jim could drive a Jetson's flying car at a coristant speed of 370 km/hr across oceans and space, approximately how long (in Millions of years, in 10^6 years)would he take to drive to a nearby star that is 12.3 light-years away? Use 9.461 x 10^12 km/light-year and 8766 hours per year (365.25 days).
Given:
Jim could drive a Jetson's flying car at a constant speed of 370 km/hr
We will find the time could take to drive to a nearby star that is 12.3 light-years away
Given light year = 9.461 x 10^12 km
And the number of hours per year = 8766 hours
The time = Distance over the speed
so, the time =
\(\frac{12.3\times9.461\times10^{12}}{370}=3.145\times10^{11}hours\)Divide the answer by the number of hours per year
\(\frac{3.145\times10^{11}}{8766}=35.88\times10^6years=35.88\text{ }Millionsofyears\)So, the answer will be 35.88 Millions of years
For a large order, Mr. Magoo made 3/8 kg of fudge in his bakery. He then got 1/6 kg from his sister’s bakery. If he needs a total of 1 1/2 kg, how much more fudge does he need to make? Put your answer in fraction form. Example: Mr. Magoo needs to make #/# more fudge.
(PS: Please show your work)
Answer:
Amount fudge he needs = 23/24 kg
Step-by-step explanation:
Given:
Total fudge wants = 1\(\frac{1}{2}\) = 3/2 kg
His sister gave = 1/6 kg
He make = 3/8 kg
Find:
Amount fudge he needs
Computation:
Amount fudge he needs = Total fudge wants - His sister gave - He make
Amount fudge he needs = 3/2 - 1/6 - 3/8
Amount fudge he needs = 23/24 kg
Please help quick I need it
The area of the composite figure is 122.24 units².
How to find the area of a composite figure?The composite figure consist of a rectangle and two semi circles. Therefore, the area of the composite figure is the sum of the area of the individua shapes.
Hence,
area of the composite figure = area of the rectangle + 2(area of semi circle)
Therefore,
area of the composite figure = 9 × 8 + 2(1 / 2 πr²)
area of the composite figure = 72 + πr²
where
r = 8 / 2 = 4 units
Therefore,
area of the composite figure = 72 + 3.14 × 4²
area of the composite figure = 72 + 3.14 × 16
area of the composite figure = 72 + 50.24
area of the composite figure = 122.24 units²
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A population of 100 frogs increases at an annual rate of 22%. How manyfrogs will there be in 8 years? *
The population standard deviation for the heights of dogs, in inches is 3,7 inches. If we want to be 95% confident that the sample mean is within 2 inches of the true population mean, what is the minimum sample size that can be taken?
cambio siete decimos a una fracción igual Común denominador de 100
Answer:
70/100
Explicación:
2 fracciones son iguales si una de ellas puede ser calculada multiplicando el numerador y el denominador de la otra por el mismo número.
Por lo tanto, 7/10 es equivalente a:
\(\frac{7}{10}=\frac{7\cdot10}{10\cdot10}=\frac{70}{100}\)Multiplicamos por 10 arriba y abajo para que el denominador fuera 100. De este modo obtemos que 7/10 es igual a 70/100.
Please hurry! Which set of numbers are rational numbers but not integers, whole numbers, or natural numbers?
Answer:
The last one
Step-by-step explanation:
its all fractions, fractions are rational numbers but not integers, whole, or naturals numbers
Recall that a point on the unit circle represents (cos(θ, sin(θ)) for an angle in standard position. If θ = 60°, then for what other value of θ is cos(θ) = 12? Give the smallest positive angle measure. θ = ⇒ 300 degrees For angles between 0° and 60°, the cosine value is X less thanequal to✔ greater than ½.
Answer:
1. 300 degrees
2. greater than
Step-by-step explanation:
1) θ = 300°
2) For angles between 0° and 60°, the cosine value is greater than \(\frac{1}{2}\).
What is an angle in standard position?"The position of an angle with its vertex at the origin and its initial side coinciding with the positive x-axis."
For given question,
We have been given an angle θ = 60°
We need to find other value of θ is for which cos(θ) = \(\frac{1}{2}\)
We know that, cos(θ) is positive in the first and fourth quadrant.
Also, cos(2π - θ) = cos(θ)
So, cos(60) = cos(360 - 60)
= cos(300)
= \(\frac{1}{2}\)
This means, the other value of θ is for which cos(θ) = \(\frac{1}{2}\) is , θ = 300°
Also, we know that,
i) cos(0) = 1
ii) cos(30) = \(\frac{\sqrt{3} }{2}\)
= 0.866
iii) cos(45) = \(\frac{1}{\sqrt{2} }\)
= 0.7071
iv) cos(60) = \(\frac{1}{2}\)
= 0.5
This means, for angles between 0° and 60°, the cosine value is greater than \(\frac{1}{2}\).
Therefore, 1) θ = 300°
2) For angles between 0° and 60°, the cosine value is greater than \(\frac{1}{2}\).
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Consider the first quadrant of the unit circle. How does the covenant ratio change as the sine ratio increases?
Answer:
For acute angles, remember what sine means: opposite over hypotenuse. If we increase the angle, then the opposite side gets larger. That means "opposite/hypotenuse" gets larger or increases.
Step by Step:
Keep this in mind >>
Consider the unit circle > The sine and cosine ratios are the only ratios that have 1 (the radius or hypotenuse) as the denominator. The numerators (sides) vary between 0 and 1, thus determining that the sine and cosine do the same.
All of the other ratios (tangent, cotangent, secant, cosecant) have a side as the denominator, varying between 0 and 1. As any denominator approaches 0, the value of the ratio approaches infinity.
The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of 9.8% per hour. How many hours does it take for the size of the sample to double?
Note: This is a continuous exponential growth model.
Do not round any intermediate computations, and round your answer to the nearest hundredth.
For the population to double, it takes around 7.07 hours.
The continuous exponential growth model is given by:
\(N(t) = N0 * e^{rt}\)
Where:
N(t) is the population size at time t
N is the initial population size (at t = 0)
r is the growth rate parameter
t is the time elapsed
We want to find the time t it takes for the population size to double, which means N(t) = 2N. Substituting into the growth model, we get:
\(2N = N * e^{rt}\)
Dividing both sides by N, we get:
\(2 = e^{rt}\)
Taking the natural logarithm of both sides, we get:
ln(2) = rt
Solving for t, we get:
t = ln(2)/r
Substituting r = 0.098 (9.8% as a decimal), we get:
t = ln(2)/0.098
t ≈ 7.07 hours
Therefore, it takes approximately 7.07 hours for the population size to double.
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Practice:
For the given central angle, determine the distance traveled along the unit circle from the point (1, 0)
-112°
a. 0.98 units
b. 0.62 units
c. 0.62 units clockwise
d. 1.95 units clockwise
Please select the best answer from the choices provided
Answer:
D. 1.95 units clockwise
Step-by-step explanation:
I calculated it logically
What is the explicit formula for the sequence 12,112,212,312,412
The explicit formula for the sequence 12, 112, 212, 312, 412 is a_n = 100n + 12.
The explicit formula for the given sequence is:
a_n = 100n + 12
In the given sequence, each term is obtained by adding 100 to the previous term. The first term is 12, and each subsequent term is obtained by adding 100 to the previous term.
Using the formula, we can calculate any term in the sequence by substituting the corresponding value of n. For example:
a_1 = 100(1) + 12 = 112
a_2 = 100(2) + 12 = 212
a_3 = 100(3) + 12 = 312
a_4 = 100(4) + 12 = 412
Therefore, the explicit formula for the sequence 12, 112, 212, 312, 412 is a_n = 100n + 12.
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5) In four plays a football team gains 3 yards, loses 7 yards, loses 2 yards, and gains 15 yards. How many yards did the team gain after four plays?
Answer:
The Team gained 9 yards after 4 plays.
Step-by-step explanation:
3 - 7 - 2 + 15 = 9
What grade level is this?
Have a nice day! :-)
Solve for 6(2+2) explain answer with reasoning
Answer:
24
Step-by-step explanation:
Step 1:
6 ( 2 + 2 )
Step 2:
12 + 12
Answer:
24
Hope This Helps :)
Answer:
6(2+2)
first of all u add 2+2 =4 the 6 x 4 = 24
Please fill in the blanks on the math problems.
Answer:
13) a and b, b and c
14) a = 59°, b = 121°, c = 59°
15) a = 45°, b = 135°, c = 135°
16) a = 72°, b = 108°, c = 108°
Find the real-number root.
√1.44
1.2
no real roots
2.07
0.72
Answer: A. 1.2
Step-by-step explanation:
The principal, real, root of:
2^√1.44
=1.2
All roots:
1.2
−1.2
1.44 is not a perfect square
A flagpole casts a shadow that is 14 feet long. At the same time, a person standing nearby who is 5 feet 6 inches tall casts a shadow
that is 42 inches long. How tall is the flagpole?
Flagpole:
feet
Answer:
22 feet
Step-by-step explanation:
As the given measurements are not all in the same units, convert all measurements to inches using the conversion 1 ft = 12 inches:
14 ft = 14 × 12 = 168 inches5 ft 6 in = 5 × 12 + 6 = 66 inchesTherefore:
Flaghole height = h inFlagpole shadow = 168 inPerson height = 66 inPerson shadow = 42 inDraw a diagram using the given information (see attachment).
From the diagram, we can see that the flagpole and the person are parallel. Therefore, the two triangles are similar.
In similar triangles, corresponding sides are always in the same ratio.
Therefore, set up a ratio of height to shadow length and solve for h:
\(\implies \sf Flagpole\;height:Flagpole:shadow=Person\;height:Person\;shadow\)
\(\implies \sf h:168=66:42\)
\(\implies \sf \dfrac{h}{168}=\dfrac{66}{42}\)
\(\implies \sf h=\dfrac{66}{42} \cdot 168\)
\(\implies \sf h=\dfrac{11088}{42}\)
\(\implies \sf h=264\;inches\)
Convert the height into feet by dividing by 12:
\(\implies \sf h=\dfrac{264}{12}=22\;feet\)
Therefore, the height of the flagpole is 22 feet.
CALC
PLEASE HELP!!
A chemical substance has a decay rate of 8.8% per day. The rate of change of an
dN
amount N of the chemical after t days is given by = -0.088N
dt
(i) Let No represent the amount of the substance present at to. Find the exponential function
that models the decay.
(ii) Suppose that 400g of the substance is present at to. How much will remain after 3 days?
(iii) What is the rate of change of the amount of the substance after 3 days?
(iv) After how many days will half of the original 400 g of the substance remain?
A function is a relationship between a few different inputs and an output, where each input can only lead to one possible outcome.
What is the chemical substance has a decay rate?(i) The exponential function that models the decay of the substance is given by:
\(N(t) = Noe^(-0.088t)\)
(ii) If \(400g\) of the substance is present at to, then \(No = 400g\) . Therefore, the amount of the substance remaining after 3 days is:
\(N(3) = 400e^(-0.0883) = 309.21g\) (rounded to two decimal places)
(iii) The rate of change of the amount of the substance after 3 days is given by:
\(dN/dt = -0.088N(3) = -0.088309.21 = -27.21 g/day\) (rounded to two decimal places)
(iv) To find the number of days it takes for half of the original \(400g\) of the substance to remain, we need to solve the equation:
\(N(t) = 0.5No\)
\(0.5No = Noe^(-0.088t)\)
\(0.5 = e^(-0.088t)\)
\(ln(0.5) = -0.088t\)
\(t = ln(0.5)/(-0.088) = 7.89 days\) (rounded to two decimal places)
Therefore, after \(7.89\) days, half of the original \(400g\) of the substance will remain.
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Find the area of the regular pentagon with apothem 3.5 and side. Not drawn to scale.
100 POINTS
SHOW WORK PLEASE
Answer:
52.5 inch square
Step-by-step explanation:
Area of pentagon: A = 1/2 × p × a;
where 'p' is the perimeter of the pentagon and 'a' is the apothem of the pentagon.
A = 1/2 x (6 x 5) x 3.5 = 1/2 x 30 x 3.5 = 15 x 3.5 = 52.5
The area of the regular pentagon with apothem 3.5 and side 6 is 52.5
What is the area of the regular pentagon?In Mathematics, a pentagon is a polygon with 5 sides. A pentagon can be classified as a regular pentagon and irregular pentagon. When all the sides and the angles of a pentagon are of equal measure, then it is called a regular pentagon.
How to find the area of the regular pentagonGiven the question, we need to find the area of the regular pentagon with apothem 3.5 and side 6.
In order to find the area, the formula to calculate the area of the regular pentagon is given by:
\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)
Where “s” is the side length. And “a” is the apothem length.Now,
\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)
\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times 6 \times 3.5\)
\(\text{Area of pentagon} =52.5\)
Therefore, the area of the regular pentagon with apothem 3.5 and side 6 is 52.5
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Show ur work and check it
Drag each length to the correct location on the triangle. Each length can be used more than once, but not all lengths will be used.
What are the missing side lengths for triangle ABC?
4
4√2 8
8√2
12 4√3 8√3
60°
4√3
30°
The missing side lengths for triangle ABC are 4, 4√3, and 8.
Based on the given information, it seems that the triangle is a right-angled triangle with angles of 30°, 60°, and 90°. Let's find the missing side lengths for triangle ABC using the given lengths and angles.
Identify the triangle type.
Since we have angles of 30°, 60°, and 90°, we are working with a 30-60-90 right-angled triangle.
Determine the ratio of side lengths.
In a 30-60-90 triangle, the ratio of the sides is 1:√3:2.
Find the corresponding side lengths.
Using the given lengths and the 1:√3:2 ratio, we can determine the side lengths for triangle ABC:
- If the shortest side (opposite the 30° angle) is 4, then the other sides would be 4√3 (opposite the 60° angle) and 8 (hypotenuse, opposite the 90° angle).
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find the GCF of 24 and 63
Answer:
3
Step-by-step explanation:
:) mark me as brainlist?
Answer:
3
Step-by-step explanation:
The GCF is the largest common positive integer that divides all the numbers (24,63) without a remainder
The graph compares the weights in pounds of 100 dogs and cats that are brought in
to a veterinarian's office. Using the medians, how much more does a typical dog weigh than a typical cat?
Answer:20
Step-by-step explanation:this is wrong
Answer:
40
Step-by-step explanation:
subtract median of dogs and median of cats
Robin currently has 50 subscribers on her You.Tube channel, and Dimitri currently has 17 subscribers. Robin gains 4 subscribers every week, while Dimitri gains 7 subscribers each week.
Part A: Set up a system of equations to shows each person's subscribers.
Part B: After how many weeks will Robin and Dimitri have the same number of subscribers?
Part C: How many subscribers will Robin and Dimitri have when their subscriber count is equal?
Answer:
Part A :
Robin : 50 divided by 4 = 12.5, Robin took 12.5 Weeks to get to 50 subscribers.
Dimitri : 17 divded by 7 = 2.4, Dimitri took 2.4 weeks to get to 7 subscribers.
Part B : In 7 weeks, Dimitri will have 66 subscribers, And in 4 weeks, Robin will have 66 subscribers. So after 7 weeks for Robin and 4 for Dimitri
Part C , They will have 66 subscribers. After 7 weeks Dimitri will have 66 subcribers, and after 4 weeks Robin will have 66 subscribers.
Explanation :
I have calculated out Robins and Dimitris subscribers counts with math.
Part A: The attached image is for Robin but I didn't have time for Dimitri.
Dimitri: Currently has 17 subscribers, 7x11=77. 17+77 = 94 and the same goes for Robin.
Robin: Currently he has 50 subscribers, 4x11=44. 50+44 = 94.
Part B: After 11 weeks Robin and Dimitri will have the same number of subscribers.
Part C: Robin and Dimitri will have 94 Subscribers when their subscriber count is equal.
A boy wants to jump onto a carousel that is spinning at a rate of 14 revolutions per minute. if the carousel is 23 feet in diameter, how fast must the boy run to match the speed of the carousel and jump on?
a. 2.68 feet per second
b. 1,011.59 feet per second
c. 33.72 feet per second
d. 16.86 feet per second
Answer:
16.86 ft/s
Step-by-step explanation:
Given that,
Angular speed of a carousel, \(\omega=14\ rev/min\)
The diameter of the carousel, d = 23 feet
We need to find the speed of the carousel and jump on.
\(\omega=14\ rev/min=1.46\ rad/s\)
Radius, r = 11.5 feet
Let v is the velocity. So,
\(v=r\omega\\\\=11.5\times 1.46\\\\=16.79\ ft/s\)
Hernce, the correct option is (d) "16.86 ft/s"