There are a total of 2000 workers in all in the company
How many workers are there in all?From the question, we have the following parameters that can be used in our computation:
Women percentage = 80%
People not women = 400
Using the above as a guide, we have the following:
People not women percentage = 1 - 80%
Evaluate
People not women percentage = 20%
So, we have
People not women = People not women percentage * Total
substitute the known values in the above equation, so, we have the following representation
20% * Total = 400
Divide
Total = 2000
Hence. there are 2000 people in the company
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Which of the figures can be folded into a cube?
A, B, C, D, E, F, G, H, I, J
A, B, E, G, I, J
C D, F, H, J
A, B, C, E, G, I
The correct option is (D) A, B, C, E, G, I
What is the cube?
A cube is a three-dimensional solid shape that has six square faces of equal size. It has twelve edges and eight vertices, and all angles between the faces are right angles. The cube is a regular polyhedron, which means that all its faces are congruent and all its edges have the same length.
The net of a cube is the one that has the faces arranged in such a way that it makes a complete cubic structure
A) In the given figure, the net cannot be folded into a cube by folding the six faces of the net. Therefore, it is not a cube net.
B) In the given figure, the net cannot be folded into a cube by folding the six faces of the net. Therefore, it is not a cube net.
C) In the given figure, the net cannot be folded into a cube by folding the six faces of the net. Therefore, it is not a cube net.
D) In the given figure, the net can be folded into a cube when its faces are folded one over the other. Therefore, it is a cube net.
Hence, The correct option is (D) A, B, C, E, G, I.
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A theater is hosting a film festival for Hispanic Heritage Month. The Moore family buys
5 tickets and spends $28.75 at the concession stand. Each ticket costs the same amount.
They spend a total of $76.75. Which equation shows the cost of each ticket, t?
Answer:t = 9.6.
Step-by-step explanation:
I need some assistance with this ?
Answer:
[tex]x=\pm\sqrt{\frac{2}{7}} \text{ and }x=\pm i\sqrt{\frac{2}{7}}[/tex]
(real solution) (imaginary solution)
Step-by-step explanation:
Substitution:For these type of questions, where the exponent is even, it helps to try to rewrite the equation into a quadratic equation as we have a closed formula (quadratic formula) to solve for the zeroes, and it's also just easier to deal with in general.
Let's say that: [tex]u=x^2[/tex], now if we square both sides, [tex]u^2=x^4[/tex], so from here we can substitute in u squared as x to the power of four.
This results in our following equation: [tex]49u^2-4[/tex], from here we could use the quadratic formula, but you may notice a pattern here. We have a difference of squares: [tex]a^2-b^2=(a-b)(a+b)[/tex]
[tex]49u^2[/tex] can be written as [tex](7u)^2[/tex] and [tex]4[/tex] can be written as [tex]2^2[/tex], this gives us our equation: [tex](7u)^2-2^2\implies (7u-2)(7u+2)[/tex]. If we use this definition of the equation on the left side, it gives us: [tex](7u-2)(7u+2)=0[/tex] and this is very convenient as we can solve both of them individually.
Zero Property of Multiplication:Whenever we multiply any number (assuming it's defined) by zero, we should get.... zero. This intuitively makes sense as no matter how many times we add zero up (multiplication is repeated addition), we're always just going to have zero.
So when we have the equation: [tex]a*b=0[/tex], if "a" is zero then regardless of what "b" is (assuming it's defined), then the product will be zero. If "b" is zero then regardless of what "a" is (assuming it's defined), then the product will be zero.
Now if we look back at our equation: [tex](7u-2)(7u+2)=0[/tex], if [tex]7u-2=0[/tex], then regardless of what [tex]7u+2[/tex] is equal to, the product will be zero. Likewise, if [tex]7u+2=0[/tex] then regardless of what [tex]7u-2[/tex] is equal to, the product will be zero, thus making the equation true.
So to find the solutions to this, we find what makes [tex]7u-2=0 \text{ and }7u+2=0[/tex] true. If we work them both out individually we
get:
[tex]7u-2=0\\7u=2\\u=\frac{2}{7}\\\\7u+2=0\\7u=-2\\u=-\frac{2}{7}[/tex]
So now we have our two solutions right? Well remember we started off with a "x" variable, and the "u" is merely a substitution. If you recall, the "u" value is set equal to "x^2", so we can just plug that back in, so we can find the solutions in terms of x.
[tex]x^2=\frac{2}{7} \text{ and } x^2=-\frac{2}{7}[/tex]
If we take the square root of both sides, we get:
[tex]x=\pm\sqrt{\frac{2}{7}} \text{ and }x=\pm\sqrt{-\frac{2}{7}}[/tex]
you'll notice in one of them, we're taking the square root of a negative number. This will result in imaginary solutions, if we factor out a "-1" and take the square root of that, we'll just get an "i" infront, giving us the solutions of: [tex]x=\pm\sqrt{\frac{2}{7}} \text{ and }x=\pm i\sqrt{\frac{2}{7}}[/tex].
Name:
Date:
2.
5.
Directions: Solve for x
This is a 2-page document
Directions identify the similar triangles in the diagram, then sketch them so the coresponding
sides and angles have the same orientation
1.
52
48
Per
20
9.24 and 32
طلال سلال
kl ma jkk
Jkm-kim
Unit 7: Right Triangles & Trigonometry
Homework 3: Similar Right Triangles
& Geometric Mean
X=4.8
6.
22.4
13.2
26
Directions: Find the geometric mean of each pair of numbers.
7.16 and 27
8. 5 and 36
10.8 and 48
The geometric means of the pairs of numbers are approximately:
14.85 for 7.16 and 27
13.42 for 5 and 36
22.94 for 10.8 and 48.
How to calculate the meanIt should be noted that to find the geometric mean of two numbers, we multiply them together and then take the square root of the result. So, for each pair of numbers, we can follow these steps:
Multiply the two numbers together.
Take the square root of the product.
Using this formula, we get:
7.16 and 27:
Geometric mean = √(7.16 × 27) ≈ 14.85
5 and 36:
Geometric mean = √(5 × 36) = √180 ≈ 13.42
10.8 and 48:
Geometric mean = √(10.8 × 48) ≈ 22.94
Therefore, the geometric means of the pairs of numbers are approximately:
14.85 for 7.16 and 27
13.42 for 5 and 36
22.94 for 10.8 and 48.
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The cat____under the table when the veterinarian came into the examining room.
Which of these words would indicate that the
cat was afraid of the veterinarian?
A sulked
B cowered
C reclined
D strolled
Answer: B
Step-by-step explanation:
The word that would indicate that the cat was afraid of the veterinarian is "cowered." "Cowered" means to crouch down in fear or shame. So, the sentence would be: "The cat cowered under the table when the veterinarian came into the examining room."
My current grade is a 64.21%
7%-enrichment assignments
16%-homework assignments
19%-exam 1,2 and 3
20%-final exam
I have exam 3 next week, before final exam I want to up my grade to a 70% or above what grade would I need to get on my exam 3 to do so?
Answer:
i would say at least a 70
and i hope you do well
hope this helps ;)
worth 30 points!!!!
pls screenshot and answerrr
lo. Rebecca found the length and width of the 6. garage door. She used the measurements to find the perimeter of the garage door. Which of the following could be the perimeter of Rebecca's garage door? F 48 square feet /G 48 square inches/ H 48 feet/ J 48 cubic feet
H 48 feet could be the perimeter of Rebecca's garage door.
We know,
Perimeter is the distance around a two-dimensional shape. It is measured in units of length, such as feet or inches.
Rebecca found the length and width of the garage door, which are both measurements of length. Let's say she found that the length was 8 feet and the width was 6 feet.
To find the perimeter, she would add up the lengths of all four sides of the rectangle:
Perimeter = 2(length) + 2(width)
Perimeter = 2(8 feet) + 2(6 feet)
Perimeter = 16 feet + 12 feet
Perimeter = 28 feet
So the perimeter of Rebecca's garage door is 28 feet. None of the answer choices given match this value exactly, but H 48 feet is a possible perimeter if the garage door was much larger than the example given above. However, it is important to note that the term "cubic feet" (answer choice J) does not apply to perimeter, as cubic feet is a unit of volume and not length.
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PLEASE HELP QUICK How many clubs have at least 30 members?
A.5 clubs
B.6 clubs
C.8 clubs
D.9 clubs
Answer:
D. 9 clubs
Step-by-step explanation:
Given a stem-and-leaf plot of the number of members in clubs, you want to know the number of clubs with 30 or more members.
Stem and Leaf PlotThe plot shows the club membership to be ...
{10, 13, 15, 24, 26, 30, 36, 39, 50, 55, 59, 61, 66, 78}
The 9 clubs whose member numbers are in bold have at least 30 members.
The number of clubs with at least 30 members is ...
D. 9 clubs
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If f(x)=x^2+10sinx, show that there is a number c such that f(c)=1000.
Answer:
Step-by-step explanation:
Find the least common multiple (LCM) of 24 and 6.
To find the LCM of 24 and 6, we can use the prime factorization method.
First, we find the prime factorization of each number:
24 = 2 x 2 x 2 x 3
6 = 2 x 3
Then, we identify the highest power of each prime factor that appears in either number.
The prime factor 2 appears three times in 24, but only once in 6. Therefore, we take the highest power of 2, which is 2 x 2 x 2 = 8.
The prime factor 3 appears once in both numbers, so we take the highest power of 3, which is 3.
Finally, we multiply these together to get the LCM:
LCM(24, 6) = 8 x 3 = 24
Therefore, the LCM of 24 and 6 is 24.
~~~Harsha~~~
Answer: LCM of 24 and 6 is 24
Step-by-step explanation:
Write 2:7 in the form 1: n
Answer:
7 ÷ 2 = 3.5, so 2:7 = 1:3.5 (1 to 3.5).
Answer:
1 : 3.5
Step-by-step explanation:
2: 7 written in the ratio 1 : n...
2:7
1:n
To get to 1 from 2 you have to divide by 2.
So do the same for 7.
Therefore the answer is 1: 3.5
The amount Troy charges to mow a lawn is proportional to the time it takes him to mow the lawn. Troy charges 30 to mow a lawn that took him 1.5 hours to mow.
Which equation models the amount in dollars, d, Troy charges when it takes him h hours to mow a lawn?
The amount Troy (D, in dollars) charges to mow a lawn is proportional to the time (H, in hours) it takes him to mow the lawn.
Hence, we can write [tex]\text{D = kH}[/tex] ......... (1), where k is a constant.
Now, given that Troy charges $30 to mow a lawn that took him 1.5 hours to mow.
So, from equation (1) we get
[tex]{30 = 1.5\text{k}[/tex]
[tex]\rightarrow \text{k = 20}[/tex].
Therefore, equation (1) becomes
[tex]\boxed{\bold{D = 20H}}[/tex] (Answer)
NO LINKS!! URGENT HELP PLEASE!!!!
Express the statement as an inequality. Part 3a^2
The inequalities for the given word problems are:
g) p/q ≤ 6
h) 1/w ≥ 9
How to solve Inequality word problems?Inequality word problems are statements or words used to describe specific inequalities.
g) We are told that the quotient of p and q is at most 6. Thus, it is a maximum of 6. Therefore, we can write the inequality as:
p/q ≤ 6
h) We are told that the reciprocal of w is at least 9. Thus, the inequality is expressed as:
1/w ≥ 9
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What is the area of triangle LMN
The area of the triangle LMN is A = ( 1/2 ) x base x height
Given data ,
Let the triangle be represented as ΔLMN
Now , the base of the triangle be , b = MN
Let the height of the triangle be = h
Now , the area of the triangle is A = b x h
On simplifying , we get
A = LM x MN
Therefore , the value of A = base x height
Hence , the area of triangle is solved
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Find the volume of the cone below if the radius is 12 height is 12
Answer:
Work smartly not hard.
Step-by-step explanation:
AI
Find the surface area
Round to the nearest tenth
The surface area of the triangular prism is 672 square millimeters.
what is surface area ?
Surface area is a metric used to determine how much overall space an object occupies. the total volume of the area of surface of a three-dimensional shape. The term "surface area" refers to a three-dimensional shape's entire surface area.
The triangular base has a height of 7 mm and a base of 24 mm, so its area is:
[tex]1/2 * base * height = 1/2 * 24 \ mm * 7\ mm = 84 \ mm^2[/tex]
There are two identical triangular faces, so their combined area is:
[tex]2 * 84 \ mm^2 = 168\ mm^2[/tex]
The three rectangular faces are all the same size, with a length of 24 mm and a height of 7 mm, so the area of each is:
[tex]length * height = 24 \ mm * 7 \ mm = 168 \ mm^2[/tex]
There are three rectangular faces, so their combined area is:
[tex]3 * 168\ mm^2 = 504\ mm^2[/tex]
To find the total surface area, we add the area of the two triangular faces to the area of the three rectangular faces:
[tex]168 \ mm^2 + 504 \ mm^2 = 672 \ mm^2[/tex]
Therefore, the surface area of the triangular prism is 672 square millimeters.
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Firefighters have a 52-foot extension ladder. In order to reach 48 feet up a building, how far away from the building should the foot of
the ladder be placed?
OA. 36 feet
OB. 20 feet
OC.28 feet
OD.32 feet
HELPPPPPP PLEASEEEEE
Answer: 300
Step-by-step explanation:
10*8*6=480-6*6*5=180=300
Substitute the supplied value and simplify both sides of the equation, if necessary. Then decide if the supplied value is or is not a solution.
m + 2(m + 1) = 14 {4}
The supplied value of 4 is a solution to the equation m + 2(m + 1) = 14.
Is the supplied value a solution or not?Given the equation in the question;
m + 2(m + 1) = 14
And supplied value = 4
To substitute the value of 4 into the equation, we replace every occurrence of the variable "m" with 4:
m + 2(m + 1) = 14
Plug in m = 4 by replace m with 4 and simplify both sides
4 + 2(4 + 1) = 14
4 + 2(5) = 14
4 + 10 = 14
14 = 14
We can see that both sides of the equation simplify to 14, which means that the value of 4 is a solution.
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50 Points! Multiple choice algebra question. Photo attached. Thank you!
The solution to the given composite function is; C: 4x² - 4x - 2
How to solve composite functions?From the question, we are given the individual functions as;
f(x) = x² - 3
g(x) = 2x - 1
Now when it comes to composite functions, we know that;
(f ° g)(x) = f[g(x)]
Substitute the known values in the above equation, so, we have the following representation
(f ° g)(x) = f(2x - 1) = (2x - 1)² - 3 = 4x² - 2x - 2x + 1 - 3 = 4x² - 4x - 2
This is the final solution of the composite function expression.
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The solution to the given composite function is; Option D: 2x² - 7
How to solve composite functions?Composite functions are defined as functions where the output of one function is used as the input of another. Wheb we have a function f and another function g, then the function fg(x), said as “ f of g of x”, is the composition of the two functions.
The given functions are:
f(x) = x² - 3
g(x) = 2x - 1
We want to find (g ° f)(x) . We know that:
(g ° f)(x) = g[f(x)]
Thus:
(g ° f)(x) = g(x² - 3)
= 2(x² - 3) - 1
= 2x² - 6 - 1
= 2x² - 7
This is the final result of the composite function expression.
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Find the missing side
Please help with
Answer:
x = 4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
using Pythagoras' identity in the right triangle
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , then
x² + 4² = 8²
x² + 16 = 64 ( subtract 16 from both sides )
x² = 48 ( take square root of both sides )
x = [tex]\sqrt{48}[/tex] = [tex]\sqrt{16(3)}[/tex] = [tex]\sqrt{16}[/tex] × [tex]\sqrt{3}[/tex] = 4[tex]\sqrt{3}[/tex]
ANALYSIS
Graphs and tables not only represent data, but they also allow you to answer questions about the data. Use your tables and graphs on the resource pages from problem 1-13 to answer the questions below.
Which data appears to be linear? That is, when graphed, which data can be modeled best using a line? Explain why it makes sense for this situation to have a linear graph.
Now that Perry knows his options for the design of his hot tub, he wants to pick the hot tub that has the smallest perimeter (without cutting any tiles). What do you recommend?
The town of Parsnipville will have a flu vaccine available on Day 7. Only people who have not yet gotten the flu will need to be vaccinated. Since the town has
citizens, how many people will need the vaccine on that day? Is it easier to answer this question using your graph or using your table? Explain.
Certain legal documents, such as those used when buying property, sometimes require up to
signatures! How long do you think it might take to sign all the documents?
Considering each situation (lab), which of your graphs could have a point where
? Explain.
Assume that Perry’s hot tub tiles measure one foot on a side. If Perry could cut his tiles, what is the longest hot tub he could possibly build?
The data that appears to have a consistent rate of change over time or with respect to another variable often appears to be linear.
When data is graphed, which data can be modeled best using a line?The data that has a clear trend or pattern that can be represented by a straight line is best modeled using a line.
Why does it makes sense to have a linear graph?Linear graphs are useful because they allow us to easily visualize and analyze trends or patterns in data. The equation of a line can also be used to make predictions or forecasts based on the data. Linear graphs can be used to identify correlations between variables and to assess the strength and direction of those correlations.
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Find the surface area of the figure ( on photo)
The surface area of the figure is 344 m².
What is area?Area is the region bounded by a plane shape.
To calculate the surface area of the figure, we use the formula below.
Formula:
A = bh+L(a+b+c)..................... Equation 1Where:
A = Surface areab = Base of the triangleh = Height of the triangleL = Length of the prisma, c = Other two sides of the triangular baseFrom the diagram,
Given:
b = 6 mh = 4 ma = 5 mc = 5 mL = 20 mSubstitute these values into equation 2
A = (6×4)+20(5+5+6)A = 24+320A = 344 m²Hence, the area is 344 m².
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Find the volume of the solid.
Answer:
64cm³
Step-by-step explanation:
( 4 x 4 x 4) cm x cm x cm
Question # 6 Multiple Choice Which of the following minerals is made of more than one element? Responses copper silver gold hornblende
Out of the following minerals hornblende is made up of more than one element. Therefore, option D is the correct answer.
What are minerals?Solid, naturally occurring materials known as minerals have a particular chemical makeup and crystal structure. They can be discovered in rocks, soil, and water and are primarily created by geological processes. Minerals are crucial for our bodies' nutritional needs as well as for the construction of structures and the manufacture of electronics, among other facets of our daily life.
Hornblende is a mineral made up of multiple elements, including calcium, magnesium, iron, aluminum, silicon, and sometimes sodium and potassium. The other minerals listed, copper, silver, and gold, are each made up of a single element.
Therefore, the correct option is d. Hornblende
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if h(x)=x+2/x-2, then dy/dx=? A. x-2 B. -5/2 C. 1/(x-2)². D. none
1/(x-2)². The correct option is C
What is quotient rule ?The quotient rule is a formula used in calculus to find the derivative of a function that is the quotient of two other functions. Specifically, it gives the formula for finding the derivative of a function of the form f(x) = g(x) / h(x), where g(x) and h(x) are both functions of x.
We can use the quotient rule to find the derivative of h(x):
h(x) = (x+2)/(x-2)
h'(x) = [ (x-2)(1) - (x+2)(1) ] / (x-2)^2 (apply quotient rule)
Simplifying the numerator, we get:
h'(x) = [ x-2 - x-2 ] / (x-2)^2
h'(x) = -4 / (x-2)^2
Therefore, the answer is (C) 1/(x-2)².
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Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. Between y = x2 − 4x + 1 and y = −x2 + 4x − 5 for x in [0, 3]
The areas of the region between the curves is -40/3square units.
We must first graph the curves in order to identify which one is on top in order to calculate the area of the region bounded by the curves for x in [0, 3]. y = x²− 4x + 1 and y = −x²+ 4x − 5
The vertex of the graph of y = x²− 4x + 1is at (2, -3), and it opens upward. The vertex of the graph of y =−x²+ 4x − 5 is at (2, -1), and it opens downward.
Thus, the curve y = x²− 4x + 1 is on top for x in [0, 1], and the curve y = −x²+ 4x − 5 is on top for x in [1, 3].
To determine which curve is on top, we can set them equal to each other and solve for x:
x²− 4x + 1 = −x²+ 4x − 5
2x² - 8x + 6 = 0
x² - 4x + 3 = 0
(x - 3)(x - 1) = 0
x = 1 or x = 3
Thus, the curves cross at x = 1 and x = 3. To find which curve is on top between these two points, we can test a point in between, such as x = 2:
y = x²− 4x + 1 = 1
y = −x²+ 4x − 5 = -1
Using integration, we can find the area of the region:
∫[0,1] (x²− 4x + 1) dx + ∫[1,3] (−x²+ 4x − 5) dx
= [(1/3)x³ - 2x² + x] from 0 to 1 + [(-1/3)x³ + 2x² - 5x] from 1 to 3
=[1/3-2+1]+[{-9+8-15}-{-1/3+2-5}]
=-2/3+-38/3
=-40/3 square units.
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ANSWER NOW
t6
6 The spinner shown below is being used in a
game.
7
6
8
1
5 4
23
What is the probability of spinning the arrow once
with the result being an odd number greater than
3?
A.
B
Answer:
The answer for Probability is 1/2
Step-by-step explanation:
7,6,8,1,54,23
Probability of spinning an odd number greater than 3=1,7,23
P=3/6
P=1/2
I need help w this point to right answer
The angle AOB is approximately 98 degrees.
How to find the central angle of a sector?The measure of the angle AOB of the sector can be found as follows:
AOB is the central angle.
Therefore,
length of an arc = ∅ / 360 × 2πr
where
r = radius∅= central angleTherefore,
12 = ∅ / 360 × 2 × 3.14 × 7
12 = 43.96∅ / 360
cross multiply
360 × 12 = 43.96∅
4320 = 43.96∅
divide both sides by 43.96
∅ = 4320 / 43.96
∅ = 98.271155596
Therefore,
∅ = 98 degrees
AOB = 98 degrees
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