Answer: 12 students = 3 adults. 24 students = 6 adults, 40 students = 10 adults
Step-by-step explanation: The ratio is 1 adult to every 4 students, so divide the number of students by 4
What is the total measurements of this roof in square feet?
The total measurements of the roof in square feet as required to be determined in the task content is; 2649 ft².
What is the total area of the roof in square feet?It follows from the task content that the total area of the roof as given in the task content is to be determined.
On this note, the area of the roof is the total area of the 71ft by 39 ft rectangle minus the area of the shaded region with dimensions 15 ft by 8 ft.
Therefore;
Area = (71 × 39) - (15 × 8)
= 2649 ft².
Ultimately, the total area measure of the roof in square feet is; 2649 square feet.
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An electronics store advertised a 19-inch model tv
Answer:
oooh really............
Numerele 10 si 5 seunt invers proportionale cu numerele 8 si b.Atunci b este:
Answer:
b should be 4.
Step-by-step explanation:
Put the numbers shown in the problem (10, 5, 8) and b into an equation.
10/5 = 8/b
Multiply both sides by b
10/5b = 8
2b = 8
b = 4
b should be 4 in this case.
In Romanian:
Puneți numerele prezentate în problemă (10, 5, 8) și b într-o ecuație.
10/5 = 8 / b
Înmulțiți ambele părți cu b
10 / 5b = 8
2b = 8
b = 4
b ar trebui să fie 4 în acest caz.
Verify the identity.
sin x/1-cos x = csc x + cot x
Answer:
See below for proof
Step-by-step explanation:
\(\displaystyle \frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{(1-\cos x)(1+\cos x)}\\\\\frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{1-\cos^2 x}\\\\\frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{\sin^2 x}\\\\\frac{\sin x}{1-\cos x}=\frac{1+\cos x}{\sin x}\\\\\frac{\sin x}{1-\cos x}=\frac{1}{\sin x}+\frac{\cos x}{\sin x}\\\\\frac{\sin x}{1-\cos x}=\csc x+\cot x\)
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A scatter plot, because it would show the association, or relationship, between the two variables
How to determine the most appropriate to construct for the dataFrom the question, we have the following parameters that can be used in our computation:
The table of values
To show the relationship and association between data values, the data values are best represented on a scatter plot
using the above as a guide, we have the following:
The most appropriate to construct for the data is (b)
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Self-select sampling is a sample in which members choose to be in the survey.
True
False
Answer:
true
Step-by-step explanation:
who wanna trade brainly acccs?
Question #3: Can you add the following terms? Why or why not?
3V2 + 2V2
I was told how to solve it, but I think I did it wrong so could someone help please?
Co-interior angles are the two angles that occur between two parallel lines intersected by a transversal.
The sum of the co-interior angles is 180 degrees.
The value of x is 15.
What are corresponding angles?The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.
Corresponding angles are equal.
We have,
Co-interior angles are the two angles that occur between two parallel lines intersected by a transversal.
The sum of the co-interior angles is 180 degrees.
(8x + 9)° and 51° are co-interior angles.
So,
8x + 9 + 51 = 180
8x = 180 - 60
8x = 120
x = 120/8
x = 15
Thus,
The value of x is 15.
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One meter of shielded microphone cable weighs 75/1,000 kilogram. What is the length of cable in coil that weigh 5 1/2 kilogram
The length of cable in the coil that weighs 5 1/2 kilograms is 1/2 meter.
Let x be the length of cable in meters that weighs 5 1/2 kilograms.
Then, we can write:
1 meter / (75/1000) kilograms = x meters / 5.5 kilograms
Simplifying the left side, we get:
1 meter / (75/1000) kilograms = 1000 / 75 meters/kilogram
= 40/3 meters/kilogram
Substituting this into our proportion, we get:
40/3 meters/kilogram * x meters = 5.5 kilograms
Multiplying both sides by 3/40, we get:
x meters = (5.5 kilograms) * (3/40) * (40/3 meters/kilogram)
= 1/2 meter
The length is 1/2 meter
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Write the hypothesis: If the pen is not blue then today is Friday.
a. The pen is not blue
b. If the pen is not blue
c. If today is Friday
d. today is not Friday
Please help me! Please!
In the given situation the sample space has 16 elements and the sample space is:
1H 2H 3H 4H 5H 6H 7H 8H
1T 2T 3T 4T 5T 6T 7T 8T
What is sample space?A sample space is a set of potential results from a random experiment.
The letter "S" is used to denote the sample space.
Events are the subset of possible experiment results.
Depending on the experiment, a sample area could contain a variety of results.
There are just two possible results when we toss a coin: either head or tail.
So, S = H, T, where H is the head and T is the tail, will be the sample space.
As a result, we are aware that there will be a total of 2n outcomes available if there are 'n' coins.
So, the coin has 2 outcomes which are H and T.
And the spinner has 8 outcomes which are 1 - 8.
Then, the sample space would be as follows:
1H 2H 3H 4H 5H 6H 7H 8H
1T 2T 3T 4T 5T 6T 7T 8T
So, the sample space has a total of 16 elements.
Therefore, in the given situation the sample space has 16 elements and the sample space is:
1H 2H 3H 4H 5H 6H 7H 8H
1T 2T 3T 4T 5T 6T 7T 8T
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Find the area of a trapezoid with bases of 16 feet and 10 feet and a height of 3 feet. 39 ft2 78 ft2 240 ft2 480 ft2
Answer: 39 ft2
Step-by-step explanation:
The area of the trapezoid is 39 square feet.
To find the area of a trapezoid, you can use the formula:
Area = (1/2) × (base1 + base2) × height
Given that the bases of the trapezoid are 16 feet and 10 feet, and the height is 3 feet, we can substitute these values into the formula:
Area = (1/2) × (16 + 10) × 3
Area = (1/2) × 26 × 3
Area = (1/2) × 78
Area = 39 ft^2
Therefore, the area of the trapezoid is 39 square feet.
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In 1995, wolves were introduced into Yellowstone Park.
The function `w\left(x\right)=14\cdot1.08^{x}` models the number of wolves, `w`, in the years since 1995, `x`.
Determine the value of `w(25)`.
What does this value say about the wolf population?
Answer:
w(25) = 96
There are 96 wolves in the year 2020
Step-by-step explanation:
Given:
\(w(x)=14\cdot 1.08^{x}\)
w(25) =
\(w(25)=14\cdot 1.08^{25}\\\\= 14 * (6.848)\\\\=95.872\\\\\approx 96\)
Number of years : 1995 + 25 = 2020
In 2020, there are 96 wolves
I need help to find the area of the sector. I will include the photo:)
Step 1. Find the total area of the circle using the formula:
\(A=\pi r^2\)Where r is the radius of the circle, in this case:
\(r=9in\)and π is a constant:
\(\pi=3.1416\)Substituting r and π into the formula for the area:
\(A=(3.1416)(9in)^2\)And solving the operations:
\(\begin{gathered} A=(3.1416)(81in^2) \\ A=254.47in^2 \end{gathered}\)Step 2. Find the are of the sector.
The sector is the part of the circle with an angle of 300°. We know that the total circle has 360°, thus, to find the area of the sector we have to divide the total area of the circle by 360, and then multiply by 300:
\(\frac{254.47in^2}{360}\times300\)Solving the operations:
\(=0.707in^2\times300\)\(=212.1in^2\)Answer: the area of the sector is
\(212.1in^2\)In the diagram at right, DE is a midsegment of triangle ABC. If the area of triangle ABC is 96 square units, what is the area of triangle ADE? Explain how you know.
The area of triangle ADE is,
⇒ A = 48 square units
We have to given that,
In the diagram , DE is a midsegment of triangle ABC.
And, The area of triangle ABC is 96 square units
Now, We know that,
Since DE is a midsegment of triangle ABC, it is parallel to AB and half the length of AB. Therefore, DE is half the length of AB.
Hence, the area of triangle ADE is half the area of triangle ABC,
That is,
A = 96 / 2
A = 48 square units
Thus, The area of triangle ADE is,
⇒ A = 48 square units
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I need help on a. And d
Answer:
A.
45
-9 X -5
-14
B.
-18
9 X -2
7
C.
6
2 X 3
5
D.
1.75
0.5 X 3.5
4
Step-by-step explanation:
A.
Product = -9 × -5 = 45
Sum = -9 + -5 = -14
B.
Factor B = 7 - 9 = -2
Product = 9 × -2 = -18
C.
The sums of factor pairs of 6 are:
[1, 6] and 1 + 6 = 7
[2, 3] and 2 + 3 = 5
simplify 7^6 x 7^5
(A) 49^11
(B) 49^35
(C) 7^11
(D) 7^35
Answer:
The answer is C) 7^11
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Initially as x incrases y (increases or decreases)
The slope of the graph is equal to ____ for all x between x= 0 and x=3
Starting at x=3 the function value y (increases or decreases) as x increases
The slope of the graph is equal to _____ for x between x=3 and x=5
For x between x=0 and x=4, the function value of y is (≤ or ≥ or =)
For x between x=4 and x=8 the function of value y is (≤ or ≥ or =)
The slope of the graph is equal to 1 for all x between x= 0 and x=3.
Starting at x=3 the function value y increases as x increases.
The slope of the graph is equal to 3 for x between x=3 and x=5
For x between x=0 and x=4, the function value of y is ≤ 0.
For x between x=4 and x=8 the function of value y is ≥ 0.
How to calculate or determine the slope of a line?In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = rise/run
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
By substituting the given data points into the formula for the slope of a line, we have the following;
Slope (m) = (0 - 3)/(3 - 0)
Slope (m) = -3/3
Slope (m) = -1.
For x between x=3 and x=5, the slope is given by;
Slope (m) = (3 + 3)/(5 - 3)
Slope (m) = 6/2
Slope (m) = 3.
By critically observing the graph of this function, we can logically deduce that the function value of y is less than or equal to 0 for x between x=0 and x=4 and greater than or equal to 0 for x between x=4 and x=8.
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How do I work out thus question?
show your workings.
The gradient of the graph which shows the variation in the mean temperature in the Northern Hemisphere is 0.01.
The mean global temperature change between 2006 and 2009 and 2010 and 2013 is 0.05.
How to find the gradient ?The gradient (or slope) of a line can be found using the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of two points on the line.
In this case, (x1, y1) = (2006, 0.61) and (x2, y2) = (2008, 0.63). Plugging these values into the formula, we get:
m = (0.63 - 0.61) / (2008 - 2006)
m = 0.02 / 2
m = 0.01
What is the mean global temperature change?Mean temperature change = (Temperature change 2006-2009 + Temperature change 2010-2013) / 2
Mean temperature change = (0.02 + 0.08) / 2
Mean temperature change = 0.10 / 2
Mean temperature change = 0.05
The mean global temperature change between the two periods is 0.05.
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I need help with Pre-Calc Trig
Note that the graph of the above function g(x) = -4sin(πx - π/6) + 2 is described as follows.
What are the features of the above graph?The graph of the function g(x) = -4sin(πx - π/6) + 2 exhibits periodic behavior with oscillations above and below the x-axis.
Note that it is a sinusoidal wave that has an amplitude of 4, a period of 2, and a phase shift of π/6 to the right.
The waveform reaches its maximum value of 2 and its minimum value of - 6. It represents a damped oscillation or a decaying sinusoidal function.
See the attached graph.
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In a certain video game, there is a mini-game where the main character can choose from a selection of twenty
presents. The presents are wrapped, so the character does not know what is in them. If 7 presents contain money, 3
presents contain gems, 6 presents contain ore, and 4 presents contain fish, what is the probability that the main
character does not choose a present that contains a gem?
Your answer should be an exact decimal value.
The probability of randomly selecting a present that does not contain a gem is
Answer:
There are a total of 20 presents, and 3 of them contain gems. Therefore, there are 20 - 3 = 17 presents that do not contain gems.
The probability of randomly selecting a present that does not contain a gem is 17/20 = 0.85 or 85%.
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What is the length of EF in the right triangle below?
D
26
10
E
F
The measure of side length EF in the right triangle is 24.
What is the measure of side length EF?The Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.
It is expressed as;
c² = a² + b²
From the diagram:
Hypotenuse DE = c = 26
Leg DF = a = 10
Leg EF = b = ?
Plug in the values and solve for b:
c² = a² + b²
26² = 10² + b²
676 = 100 + b²
b² = 676 - 100
b² = 576
b = +√576 ( we take the positive value since we are dealing with dimensions)
b = 24
Therefore, the length EF is 24.
Option C)24 is the correct answer.
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Seven years ago, Grogg's dad was 6 times as old as Grogg, and 3 years ago, his dad was 4 times as old as Grogg. How old is Grogg's dad currently?
Answer:
Grogg's dad is 22
Step-by-step explanation:
Let D = dad's current age
Let g = Grogg's current age
6(d - 7) = g - 7 → 6d - 42 = g - 7 → 6d -35 = g
4(d - 3) = g - 3 → 4d -12 = g - 3 → 4d -9 = g
Set the two equations equal to each other and solve for d
6d - 35 = 4d - 9 Subtract 4d from both sides
2d -35 = -9 Add 35 to both sides
2d = 44 Divide both sides by 2
d = 22
Helping in the name of Jesus.
Answer:
Step-by-step explanation:
d = current dad age
g = current grogg age
d-7 = 6(g-7)
d-3 = 4(g-3)
Let's solve the first equation first:
Add 7 to both sides: d - 7 +7 = 6g - 42 + 7 so d = 6g - 35
Substitude d = 6g - 35 for d in d - 3 = 4g - 12
(6g-35)-3 = 4g-12 = 6g-38 = 4g-12
Subtract 4g from both sides: 2g - 38 = -12
Add 38 to both sides: 2g = 26
Easy: g = 13
And now substitude g in for any equations.
d-3 = 52-12
d = 43
If you are at the top of a tower of height h above the surface of the earth, show that the distance you can see along the surface of the earth is approximately s = v(2hR), where R is the radius of the earth.
The distance you can see along the surface of the earth from the top of a tower of height h above the surface is approximately s = v(2hR), where R is the radius of the earth.
When you are at the top of a tower height h above the surface of the earth, you can see a certain distance along the surface. This distance can be approximated by the formula s = v(2hR), where R is the radius of the earth.
To understand why this formula works, imagine drawing a triangle with the tower, the point where you are looking, and the point on the surface of the earth directly below your line of sight. This forms a right triangle, where the height is h, the hypotenuse is the distance you can see (s), and the base is the radius of the earth (R).
Using the Pythagorean theorem, we can solve for s:
\(s^2 = h^2 + R^2\)Taking the square root of both sides, we get:
\(s = v(h^2 + R^2)\)Since R is much larger than h, we can approximate s as:
s ≈ \(v(R^2 + 2Rh)\)Expanding this expression using the binomial theorem and dropping the higher-order terms, we get:
s ≈ v(2hR)Therefore, the distance you can see along the surface of the earth from the top of a tower of height h above the surface is approximately s = v(2hR), where R is the radius of the earth.
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what is question 4????
Answer:
2.2
Step-by-step explanation:
(1.85 x 2) - 1.50
...............
Spencer is riding his bike to the park it is 3 9/10 miles to the park he rides 2 1/4 miles how much farther does he need to go
Answer:
1 13/20 miles
Step-by-step explanation:
3.9-2.25=1.65
1.65=33/20
ILL GIVE BRAINLY What is the surface area of the cube?
Drag and drop the correct surface area to match the cube.
Answer:
Below
Step-by-step explanation:
A cube has SIX sides of equal area
each side has area = L x W and L and W are the same = 4.5 m
so: Area = six X ( 4.5 X 4.5) = 6 * 4.5 * 4.5 = 121.5 m^2
Answer:
Hope the picture will help you...
Geometry, Pls help asap!!!!
Answer:
third one
Step-by-step explanation:
Suppose that the credit remaining on a phone card (in dollars) is a linear function of the total calling time (in minutes). When graphed, the function gives a line with a slope of -0.16There is $29.00 in credit remaining on the card after 25 minutes of calls. How much credit was there after 18 minutes of calls?
The linear function there after 18 minutes of calls, then the credit was = $29
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
Given that,
Slope = -0.16
There linear function is $29.00 in credit remaining on the card after 25 minutes of calls
There after 18 minutes of calls?
Slope m = -0.16
Let us assume,
x = 25 minutes
y = $29.00 in credit
Substitute this values,
So,
We can write,
y = mx + b
$29.00 = (-0.16) (25) + b
$29.00 = -24.84 + b
b = $29.00 + 24.84
b = $53.84
We can substitute b value,
y = mx + b
y = (-0.16) x + $53.84
y = \(-0.16x\) + $53.84
y = (-0.16)(25) + $53.84
y = -24.84 + $53.84
y = $29
Therefore,
The linear function there after 18 minutes of calls, then the credit was = $29
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