Answer:
49 teachers
Step-by-step explanation:
By proportion, the number of teachers needed is found as follows:
6/102 = x/825 where x is the required number of teachers.
102x = 6*825
x = (6*825)/102
= 48.5
Answer:
Se necesitan 49 profesares
Step-by-step explanation:
Using the image above, what is the measure of Side AC? Round to the nearest hundredth
To solve this problem, we just have to use trigonometric ratios and apply which of the ratios is needed here and proceed to solve. The value of side AC is 2.85 units
Trigonometric RatioIn the given diagram, we have the value of angle and hypothenuse and we are required to find the adjacent side of the triangle.
Data;
Angle = 32.9 degreesHypothenuse = 3.4Let's use cosine rule for this.
[tex]cos\theta = \frac{adjacent}{hypothenuse}[/tex]
Proceed to substitute the values into the equation and solve.
[tex]cos 32.9 = \frac{AC}{3.4} \\AC=3.4cos32.9\\AC = 2.85[/tex]
From the calculations above, the value of side AC is 2.85 units
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which of the following is an example of exponential growth? A. y=4e^ B. y=2(0.5)^x C. y=3 (1/4) ^x D. none of these
Answer:
it's D, cause for one, on b and c, their are multiplying by fractions, their is a rule like, either divide by 2 or multiple by one half, and the first one doesn't make sense so
HELP ASAP WILL MARK AS BRAINLIST IF YOU SOLVE 2 OF THESE QUESTIONS
1. What base 10 number does 257 eight represent
2. A new operation, #, is defined this way: m#n=m^2-mn. Find the value of 7#(3#2).
Answer:
1. 175
2. 28
Step-by-step explanation:
If you're converting from another base, just multiply each digit, then add up the numbers:
ones digit × 8^0,
tens digit × 8^1
hundreds × 8^2
see image.
The second problem gives you a new operation. Follow the rule by squaring the first number and taking away the first×second. Do the parenthesis first!
see image.
Which equation is the inverse of y = x2 – 36? y = plus-or-minus startroot x endroot 6 y = plus-or-minus startroot x 36 endroot y = plus-or-minus startroot x endroot 36 y = plus-or-minus startroot x squared 36 endroot
The inverse of the given function is expressed as y = ±√x + 38
Inverse of an equationGiven the equation below expressed as:
y = x² - 36
Replace y with x
x = y² - 38
Add 38 to both sides of the equation
x + 38 = y² - 38 + 38
y² = x + 38
Take the square root of both sides
√y² = ±√x + 38
y = ±√x + 38
Hence the inverse of the given function is expressed as y = ±√x + 38
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Answer:
B on edge 2022
Step-by-step explanation:
took the quiz
Which of the following indicates that AABC and ADEF are similar?
Answer:
C. ΔABC ~ ΔDEF
Step-by-step explanation:
The operators in the different answer choices are used to describe different kinds of relations.
A. "almost equals" or "is approximately"
B. "equals"
C. "is similar to" (tilde operator)
D. "is congruent to"
__
Additional comment
"Congruent" is used to describe geometrical figures in which all corresponding measures are identical. "Equal" generally refers to the relationship between algebraic or numerical values or expressions.
"Is approximately" is used to describe values that are the same within a suitable tolerance or error range. For example, 23.4 ≈ 23.352, where the value on the left has been rounded to the nearest tenth. (It is within 0.05 of the value on the right.)
Estimate, to the nearest degree, the size of each radian measure in degrees.
a) 2.5
b) 5.2
c) 6.8
B. Just saying, this is an estimate, yet it seems more logical.
PLEASE HELP!
Six guinea pigs are released in an area with no natural predators. The guinea pig population quadruples every year. Write a function P that represents the guinea pig population at a given time T measured in years. Choose the function below that represents the inverse function P-1
Use the inverse function to find how long it will take the guinea pig population to reach 1,000 and choose the response that correctly states this information.
The time taken for the population of the pig to reach 1000 will be almost four years.
What is a function?A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.
Six guinea pigs are released in an area with no natural predators.
The guinea pig population quadruples every year.
Write a function P that represents the guinea pig population at a given time T measured in years.
Then the function will be
[tex]\rm P = 6 (4)^T[/tex]
Then the inverse function of P will be
[tex]\rm T = 6 (4)^P\\\\\\P \ln 4 = \ln \left (\dfrac{T}{6} \right )\\\\\\P = \dfrac{\ln (T/6)}{\ln 4}[/tex]
Then the time taken for the population of the pig to reach 1000 will be
[tex]\rm 1000 = 6 (4)^T\\\\\\166.667 = 4^T\\\\\\T = 3.69 \\\\\\T \approx 4 \ years[/tex]
More about the function link is given below.
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Select the correct answer. Determine which equation has the same solutions as the given equation. x2 − 10x − 11 = 0 A. (x − 10)2 = 21 B. (x − 10)2 = 36 C. (x − 5)2 = 21 D. (x − 5)2 = 36
Answer:
D. [tex](x - 5)^{2} = 36[/tex]
Step-by-step explanation:
given equation: [tex]x^{2} - 10x - 11 = 0[/tex]
radius of a cylinder is 4 cm and height given is 6 cm. Find the volume in terms of pi
height= 6 cm
radius= 4 cm
to find:the volume of the given cylinder.
solution:[tex]v = \pi {r}^{2} h[/tex]
[tex]in \: terms \: of\pi = {r}^{2} h[/tex]
[tex]v = {4}^{2} \times 6[/tex]
[tex]v = 96\pi \: {cm}^{3} [/tex]
Which expression is equivalent to the area of square A, in square inches?
Answer:
the required expression equivalent to the area of the square A in inches is (10² + 24²).
Step-by-step explanation:
If the area of a circle is 90 cm, what is its radius?
Answer:
r= 5.35
Step-by-step explanation:
Answer:
the radius is .... 5.35 :P
kaii~
Please help me with this, Thank You.
Answer:
missing side is 5x - 4
Step-by-step explanation:
x - 1 + ( 3x + 6 ) + third side = 9x + 1
x - 1 + 3x + 6 + third side = 9x + 1
4x + 5 + third side = 9x + 1
third side = 9x + 1 - ( 4x + 5 )
third side = 9x + 1 - 4x - 5
third side = 5x - 4
Please, someone help. I will give brainliest. (I dont need an explanation just an answer please.)
Answer:
C
Step-by-step explanation:
In 3 options, the coefficient of x on both sides is the same. Hence, they will all have no solution. The only one which has exactly one solution is :
C. 6x + 8 = -6x + 20Juan bought 48 ounces of nuts at the store. How much is this in pounds?
The width of a rectangle is 2/3 its length. The perimeter of the rectangle is 400 ft. What is the length, in feet, of the rectangle?
Answer:
here's your answer....
Your friend is supposed to meet you at the beach between 12 pm and 1:30 pm. if you arrive at 12:25 pm and you do not see your friend, what is the probability that you will have missed your friend.
Please and thank you so much for your help!!!!!!
Answer:5/18
Step-by-step explanation:
1. Find how many minutes (90 minutes in all but you were there for 25)
2. Put 25 over 90 to find the probability in the time that you were not there.
3. Simplify the fraction to 5/18.
I need help with this problem
Answer:
n=-6
Step-by-step explanation:
You would first multiply by 3 because you are trying to get n by itself?
then you will get the equation n-6=-12 then you will add six cause again you want n by itself and you get n=-6 because -12 plus 6 is -6
somebody please help me on this.
Helppp!
The net of a solid figure is shown below:
Four squares are shown side by side in a row. The second square has a square above it and a square below it. All the squares have side length equal to 3 inches
Which calculation will give the total surface area of the solid figure?
3 ⋅ 6 ⋅ 6 square inches
6 ⋅ 3 ⋅ 3 ⋅ 3 square inches
3 ⋅ 6 ⋅ 6 ⋅ 6 square inches
6 ⋅ 3 ⋅ 3 square inches
Answer:
It's the the 4th one. 6.3.3
find the area to the nearest hundredth use 3.14 for π
Answer:
50.24
Step-by-step explanation:
you can use pi r^2
11z-6=16, then z=
First answer get to be brainliest!
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[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Given question:-}}}}[/tex]
11z-6=16, what is z?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
We need to make sure that all variables are on the left-hand side and the numbers are on the right-hand side.
Since we have a number on the left-hand side, we need to move it to the right-hand side with the opposite operation:-
11z=16+6
[tex]\it{11z=22}[/tex]
Divide by 11 on both sides:-
[tex]\it{z=2}[/tex]
We can check our solution by replacing z with 2 and seeing whether or not we end up with a true statement:-
[tex]\it{11(2)-6=16}[/tex]
[tex]\it{22-6=16}[/tex]
[tex]\it{16=16}[/tex]
So we conclude that our solution, z=2, is correct.
Good luck with your studies.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Answer:
z=2
Step-by-step explanation:
11(2)-6=16
22-6=16
WILL MARK BRAINLIEST!!!
A bag contains four red marbles, three blue marbles, two yellow marbles, and one green marble. Two marbles are drawn from the bag, one at a time, without replacement. What is the probability of drawing two blue marbles?
Answer:
1/12
Step-by-step explanation:
The initial probability of drawing a blue marble would be 3/9 as there are initially 3 blue marbles and in the bag there are a total of 9 marbles however, to get the second blue marble, the probability would be 2/8 since there's one less blue marble in the bag, making it 2 and one less marble in the bag, in general, leaving 8 marbles in the bag. To find the combined probability of getting both blue marbles, multiply the probabilities so:
3/9 x 2/8 = 1/3 x 1/4 = 1/12
Choose the equation for the relationship shown in the graph.
A) y = x + 50
B) y = x – 50
C) y = 50 - x
D) x = 50 - y
Answer:
B) y = x - 50
Step-by-step explanation:
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PLS HELP WILL MARK BRAINLIEST
Spencer is draining his swimming pool. The expression - 720x + 4,000 represents the amount of water, in gallons, remaining in the pool
after x hours. What does 4,000 represent?
A the time left until the pool is empty
B the gallons of water initially in the pool
Cthe total hours required to drain the pool
D the amount of water being drained per hour
Using linear function concepts, it is found that the representation of the value of 4,000 is given by:
B the gallons of water initially in the pool.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m 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.In this problem, the amount of water in the pool after x hours is modeled by:
y = -720 x + 4000.
4000 is the y-intercept, which is the initial amount of water in the pool, hence option B is correct.
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A circle is centered at R(2, 4). The point L(0,8) is on the circle.
Where does the point Q(6, 7) lie?
well, since we know the point L is on the circle, that means that the segment RL is really the length of the radius of that circle, hmmm let's see what that might be
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ R(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad L(\stackrel{x_2}{0}~,~\stackrel{y_2}{8})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ RL=\sqrt{[0 - 2]^2 + [8 - 4]^2}\implies RL=\sqrt{(-2)^2+4^2}\implies \boxed{RL=\sqrt{20}}[/tex]
since RL is its radius, anything larger than that is outside the circle, and anything smaller than that is inside it. Let's check for the distance RQ.
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ R(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad Q(\stackrel{x_2}{6}~,~\stackrel{y_2}{7})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ RQ=\sqrt{[6 - 2]^2 + [7 - 4]^2}\implies RQ=\sqrt{4^2+3^2}\implies RQ=\sqrt{25}[/tex]
needless to say RQ is larger than RL.
What is 5log3+log4 as a single logarithm?
[tex]~~~5 \log 3 + \log4 \\\\=\log 3^5 + \log 4~~~~~~~~~~~~~~~~~~;[\log_b m^n = n \log_b m]\\\\=\log(3^5 \cdot 4)~~~~~~~~~~~~~~~~~~~~~~;[\log_b(mn) = \log_b m + \log_b n]\\\\=\log(972)[/tex]
Select the correct answer.
Which graph shows a function and its inverse?
Answer:
See below
Step-by-step explanation:
If a function is bijective and 1-to-1, then it will have an inverse function. Consequentially, they will be symmetrical about the line [tex]y=x[/tex], which is a diagonal line passing through the origin at a 45 degree angle.
None of the graphs look correct though, but it also seems that some options are cut out, so make sure to choose the correct graph given the characteristics I've previously described.
Answer:b
Step-by-step explanation:
What is the area of this quadrilateral?
41
3 ft
10 ft
10 ft
3D
4 ft
O A. 30 square feet
O B. 36 square feet
O c. 42 square feet
O D. 12 square feet
Answer:
42 square feet
Step-by-step explanation:
10 ×3= 30
4×3=12 divided by two =6 ×2= 12
(multiply because there are two triangular ends)
12+30=42
a) If a regular octagon and regular hexagon both have the same side lengths, which will have the greater area?
Answer:
Octagon
Step-by-step explanation:
Formula for a polygon is :
A = 1/2 x a x Pa = apothem (distance from center to the midpoint of a sideP = perimeter (sum length of the sides)Since a regular octagon has 8 sides, and a regular hexagon has 6, the octagon will have the greater area due to greater perimeter.
The polynomial function f(x) = 3x5 – 2x2 7x models the motion of a roller coaster. the roots of the function represent when the roller coaster is at ground level. which answer choice represents all potential values of when the roller coaster is at ground level? begin by factoring x to create a constant term. 0, plus-or-minus one-seventh, plus-or-minus1, plus-or-minus three-sevenths, plus-or-minus3 0, plus-or-minus one-third, plus-or-minus1, plus-or-minus seven-thirds, plus-or-minus7 plus-or-minus one-seventh, plus-or-minus1, plus-or-minus three-sevenths, plus-or-minus3 plus-or-minus one-third, plus-or-minus1, plus-or-minus seven-thirds, plus-or-minus7
The root of the polynomial function f(x) = 3x⁵ - 2x² + 7x is 0
How to determine the roots of the equation?The polynomial function is given as:
f(x) = 3x⁵ - 2x² + 7x
Set the function to 0
3x⁵ - 2x² + 7x = 0
Factor out x
x(3x⁴ - 2x + 7) = 0
Divide both sides by (3x⁴ - 2x + 7)
x = 0
Hence, the root of the equation is 0
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Answer:
B
Step-by-step explanation:
cause math
