the total number of boxes with at least 20 but fewer than 60 broken crayons is 33.To answer this question, we need to use the stem-and-leaf plot to count the number of boxes with at least 20
what is at least ?
"At least" is a phrase that is used to indicate a minimum quantity or degree of something. It means that the stated quantity or degree is the smallest amount that is acceptable or possible. For example, if someone says "I need at least 10 dollars,"
In the given question,
To answer this question, we need to use the stem-and-leaf plot to count the number of boxes with at least 20 but fewer than 60 broken crayons.
From the stem-and-leaf plot, we can see that the stems 2, 3, 4, and 5 have leaves that add up to at least 20 but fewer than 60:
Stem 2 has leaves 3 and 8, which add up to 11.
Stem 3 has leaf 3, which adds up to 3.
Stem 4 has leaves 0 and 9, which add up to 9.
Stem 5 has leaves 1 and 9, which add up to 10.
Therefore, the total number of boxes with at least 20 but fewer than 60 broken crayons is 11 + 3 + 9 + 10 = 33.
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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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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
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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Fred's science class is going to the Ancient Dig adventure park. His teacher got the school group package, which costs $308. The package covers the entrance fee for the group, a private dig site, and an activity guide. Fred's teacher upgraded the package to include a fossil tool kit for each of the 22 students, bringing the total to $440. Which equation can you use to find k, the cost of each tool kit?
Answer: (440-308) ÷ 22 = The cost of each tool kit is 6 dollars
Step-by-step explanation:
The original price of the field trip was $308 after the price fof each tool kit was added the price was $440.
The total costs of all the tool kits was 132
440-308=132
the total cost of the tool kits divided by the number of kids will get the price of each tool kit
132÷22 =
K=
Please help !!
i only need help with the second problem which is:
5. For 0≤x≤ 6, express g(x) in terms of x. Do not include +C in your final answer.
Your help is very appreciated !!
From the calculation, g increases on the interval [-3, 6) and for 0 ≤ x ≤ 6, g(x) = 6 - 1/2(x-2)^2.
What is the interval that g increases?To determine where g is increasing, we need to find where its derivative, g'(x), is positive. We can find g'(x) by differentiating g(x) with respect to x:
g'(x) = f(x)
Since f(x) is a piecewise-defined function, we need to consider each interval separately.
For -3 ≤ x < 0, f(x) = 3, so g'(x) = 3, which is positive.For 0 ≤ x ≤ 6, f(x) = -x + 3, which is a decreasing function, so g'(x) is also decreasing. However, since f(x) is always non-negative on this interval, g'(x) is non-negative as well.For 6 < x ≤ 9, f(x) = -3, so g'(x) = -3, which is negative.Therefore, g is increasing on the interval [-3, 6).
To justify this, note that g'(x) = 0 at x = 0 and x = 6, where g has local maxima. This means that g is increasing on the intervals (-3, 0) and (0, 6) and decreasing on (6, 9]. Since g is continuous, it cannot have any jumps, so it must be increasing or decreasing on each of these intervals. Since g(-3) = 0 and g(6) = 9, we know that g is increasing on the interval [-3, 6).
We can evaluate g(x) on the interval [0, 6] by integrating f(x) with respect to t from -2 to x:
g(x) = ∫_{-2}^{x} f(t) dt
On the interval [-3, 0), f(t) = 3, so we have:
g(x) = ∫_{-2}^{0} 3 dt + ∫_{0}^{x} (-t + 3) dt
Simplifying the integrals, we get:
g(x) = 6 - 1/2(x-2)^2, for 0 ≤ x ≤ 6
(Note that we can drop the "+C" since it's being evaluated at the limits of integration.)
Therefore, for 0 ≤ x ≤ 6, g(x) = 6 - 1/2(x-2)^2.
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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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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:
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
Someone pls help me I’m so confused
The number of triangles that are displayed can be found to be 216 triangles.
How to find the number of triangles ?Each rectangular tile has a decorative pattern of 3 equal-sized squares, and each square is divided into 2 same-sized triangles. Therefore, each tile has 3 squares * 2 triangles per square = 6 triangles.
Marnie uses 36 of these tiles on the wall behind her kitchen stove. To find the total number of triangles displayed, multiply the number of triangles per tile by the total number of tiles:
Total triangles = 6 triangles per tile x 36 tiles = 216 triangles
So, there are 216 triangles displayed on the wall behind Marnie's kitchen stove.
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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."
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:
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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Is a triangle with sides of 5 meters, 12 meters, and 13 meters a right triangle? Explain/Show your work.
Answer:
yes it is if you bisect 5m on a 12m line
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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HURRY DUE TONIGHT
Jenny mixed 4 kg of mixed nuts containing 16% peanuts with 12 kg of mixed nuts containing 40% peanuts. What percent of the new mixture if peanuts?
A. 34%
B. 13%
The new mixture contains 34% peanuts.
The correct option is A
We have,
Jenny mixed 4 kg of mixed nuts containing 16% peanuts with 12 kg of mixed nuts containing 40% peanuts.
First, Total weight = 4 kg + 12 kg = 16 kg
Now, Total weight in kilograms is = (4 kg) (0.16) + (12 kg) (0.40)
= 0.64 kg + 4.80 kg
= 5.44 kg.
Now, the Percent of peanuts
= (Total amount of peanuts / Total weight) x 100%
= (5.44 kg / 16 kg) x 100
= 34%
Thus, the new mixture contains 34% peanuts.
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PLEASE HELP MEE‼️‼️
Tell me which each 3 boxes should I pick for each one of them PLEASE READ them I beg (proportional relationships)
number one take the second
HELPPPPPP PLEASEEEEE
Answer: 300
Step-by-step explanation:
10*8*6=480-6*6*5=180=300
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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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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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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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
In a spring, the tension (Tnewtons) is directly proportional to its extension ( x cm). When the tension is 150 newtons, the extension is 6 cm. (a) Find a formula for T' in terms of x. T = AD
The formula for tension (T) in terms of extension (x) is T = 25x.
The given statement is T = kx, where T is the tension, x is the extension, and k is the proportionality constant.
To solve this problem, we need to find the value of k. We can do that by substituting the given values of T and x into the equation:
T = kx
150 = k×6
k = 25
Therefore, the formula for tension (T) in terms of extension (x) is T = 25x.
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Is a triangle with sides of 5 meters, 12 meters, and 13 meters a right triangle? Explain/Show your work.
Answer:
Step-by-step explanation:
worth 30 points!!!!
pls screenshot and answerrr
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]
If f(x)=x^2+10sinx, show that there is a number c such that f(c)=1000.
Answer:
Step-by-step explanation:
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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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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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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