If Sarah uses 3/4 yard of ribbon to make a hair bow, she will need 6 and 3/4 yards of ribbon to make 9 hair bows.
To find out how many yards of ribbon Sarah will use to make 9 hair bows, we need to multiply the amount of ribbon used for one hair bow (3/4 yard) by the number of hair bows she wants to make (9).
So, the equation we need to use is:
3/4 yard of ribbon per hair bow x 9 hair bows = ? yards of ribbon
To solve for the answer, we can simplify the equation:
3/4 x 9 = 27/4
So Sarah will need 27/4 yards of ribbon to make 9 hair bows.
To convert this fraction to a mixed number, we can divide the numerator (27) by the denominator (4) and write the remainder as a fraction:
27 ÷ 4 = 6 with a remainder of 3
In summary, Sarah will need 6 and 3/4 yards of ribbon to make 9 hair bows, if she uses 3/4 yard of ribbon to make one hair bow.
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Consider the following exponential probability density function. f(x) = 1/3 4 e^-x/3 for x > 0 a. Write the formula for P(x < x_0). b. Find P(x < 2). c. Find P(x > 3). d. Find P(x < 5). e. Find P(2 <.x <5).
The probability that x is less than 2 is approximately 0.4866. The probability that x is greater than 3 is approximately 0.3528. The probability that x is less than 5 is approximately 0.6321. The probability that x is between 2 and 5 is approximately 0.1455.
The given probability density function is an exponential distribution with a rate parameter of λ = 1/3. The formula for P(x < x_0) is the cumulative distribution function (CDF) of the exponential distribution, which is given by:
F(x_0) = ∫[0,x_0] f(x) dx = ∫[0,x_0] 1/3 * 4 * e^(-x/3) dx
a. Write the formula for P(x < x_0):
Using integration, we can solve this formula as follows:
F(x_0) = [-4e^(-x/3)] / 3 |[0,x_0]
= [-4e^(-x_0/3) + 4]/3
b. Find P(x < 2):
To find P(x < 2), we simply substitute x_0 = 2 in the above formula:
F(2) = [-4e^(-2/3) + 4]/3
≈ 0.4866
Therefore, the probability that x is less than 2 is approximately 0.4866.
c. Find P(x > 3):
To find P(x > 3), we can use the complement rule and subtract P(x < 3) from 1:
P(x > 3) = 1 - P(x < 3) = 1 - F(3)
= 1 - [-4e^(-1) + 4]/3
≈ 0.3528
Therefore, the probability that x is greater than 3 is approximately 0.3528.
d. Find P(x < 5):
To find P(x < 5), we simply substitute x_0 = 5 in the above formula:
F(5) = [-4e^(-5/3) + 4]/3
≈ 0.6321
Therefore, the probability that x is less than 5 is approximately 0.6321.
e. Find P(2 < x < 5):
To find P(2 < x < 5), we can use the CDF formula to find P(x < 5) and P(x < 2), and then subtract the latter from the former:
P(2 < x < 5) = P(x < 5) - P(x < 2)
= F(5) - F(2)
= [-4e^(-5/3) + 4]/3 - [-4e^(-2/3) + 4]/3
≈ 0.1455
Therefore, the probability that x is between 2 and 5 is approximately 0.1455.
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Choose an acre of land in Canada at random. The probability is 0.38 that it is forest and 0.07 that it is agricultural. What is the probability that the acre chosen is not forested? Enter your answer to two decimal places. probability: What is the probability that it is either forest or agricultural? Enter your answer to two decimal places probability: IS We provar a randomly chosen acre in Canada is something other than forest or agricultural? Enter your answer to two decimal places. probability:
Probability of chosen the acre of land as per given conditions are as follow:
a. Probability of chosen the acre of land not forested is 0.62.
b. Probability of chosen the acre of land either forest or agriculture is 0.45.
c. Probability of chosen the acre of land other than forest or agriculture is non-forested which is equal to 0.62.
As given in the question,
Given probability are:
Probability of chosen the acre of land is forest is equal to 0.38.
Probability of chosen the acre of land is agriculture is equal to 0.07.
Probability of chosen the acre of land as per given conditions are as follow:
a. Let P(A) represents the probability of chosen the acre of land is forest.
Then P(A') is the probability of not forested.
P(A) + P(A') = 1
⇒0.38 + P(A') = 1
⇒ P(A') = 1 - 0.38
⇒ P(A') = 0.62
b. Let P(G) is the probability of chosen acre of land agricultural.
No common land given for forest or agriculture, they are independent events.
P(A∩G) = 0
Probability of chosen the acre of land either forest or agriculture
= P( A or G)
= P(A) + P(G) - P(A∩G)
= 0.38 + 0.07 -0
= 0.45
c. Probability of chosen the acre of land other than forest or agriculture is non-forested which is equal to 0.62.
Therefore, probability of chosen the acre of land as per given conditions are as follow:
a. Probability of chosen the acre of land not forested is 0.62.
b. Probability of chosen the acre of land either forest or agriculture is 0.45.
c. Probability of chosen the acre of land other than forest or agriculture is non-forested which is equal to 0.62.
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Simplify 2squareroot -19+44
-19+44
-361+1936
1575
therefore 2 squareroot-19+44
=1575
Can someone please help me ASAP?? It’s due tomorrow!! I will give brainliest If It’s correct.
Answer: To match the shapes produced by the slice through the triangular prism, we need to consider the orientation of the slice relative to the prism. Here are the matching options:
A. Perpendicular to the base: Rectangle
B. Parallel to the base: Triangle with dimensions equal to the base
C. Diagonal from vertex to vertex: Triangle with unknown dimensions
is the answer(s) E, D, C, B, or A?
Answer:
A,C,E
You can see that the temperature and heat energy is changing at those points than just sitting there like B and D
Help please and thankyou.
Let x be an integer. Prove that if x is not divisible by 3, then
(x + 1)(x + 2) is divisible by 3
Answer:
(x + 1)(x + 2) is divisible by 3.
Step-by-step explanation:
Assume that x is not divisible by 3. This means that x can be expressed as x = 3k + r, where k is an integer and r is the remainder when x is divided by 3. Since x is not divisible by 3, the remainder r must be either 1 or 2.
Case 1: r = 1
If r = 1, then x = 3k + 1. Now let's consider (x + 1)(x + 2):
(x + 1)(x + 2) = (3k + 1 + 1)(3k + 1 + 2)
= (3k + 2)(3k + 3)
= 3(3k^2 + 5k + 2)
We can see that (x + 1)(x + 2) is divisible by 3.
Case 2: r = 2
If r = 2, then x = 3k + 2. Now let's consider (x + 1)(x + 2):
(x + 1)(x + 2) = (3k + 2 + 1)(3k + 2 + 2)
= (3k + 3)(3k + 4)
= 3(3k^2 + 7k + 4)
We can see that (x + 1)(x + 2) is divisible by 3.
Hence, the statement is proven.
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tion of Fractions in Story Context
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While making cupcakes for class you realize the recipe needs to be 2 times bigger.
The recipe uses 1 cups of flour. So how much do you need total?
2 cups
2 cups
310 cups
213 cups
16
in a class of 25 students, 15 of them have a cat, 16 of them have a dog and 3 of them have neither. find the probability that a student has a cat and dog
Answer:
9/25
Step-by-step explanation:
this is a two sets problem first you find x and subtract it's from the numbers given that is 15 and 16 and when you find them you will get the x which is the number that had both of the cat and the dog and that number is what you're going to use to divide a 25 so that's how I got the 9 / 25
how many significant figures should be retained in the result of the following calculation:
12.00000 x 0.9893 + 13.00335 x 0.0107
To find the average value of the function f(x, y) = 8x + 5y over the given triangle, we need to calculate the double integral of f(x, y) over the region and then divide it by the area of the triangle.
The vertices of the triangle are (0, 0), (2, 0), and (0, 7). We can set up the integral as follows:
∬R f(x, y) dA = ∫₀² ∫₀ᵧ (8x + 5y) dy dx
Integrating with respect to y first, the inner integral becomes:
∫₀ᵧ (8x + 5y) dy = 8xy + (5y²/2) |₀ᵧ = 8xᵧ + (5ᵧ²/2)
Now integrating with respect to x, the outer integral becomes:
∫₀² (8xᵧ + (5ᵧ²/2)) dx = (4x²ᵧ + (5ᵧ²x)/2) |₀² = (8ᵧ + 10ᵧ² + 20ᵧ)
To find the area of the triangle, we can use the formula for the area of a triangle: A = (1/2) * base * height.
The base of the triangle is 2 and the height is 7.
A = (1/2) * 2 * 7 = 7
Finally, to find the average value, we divide the double integral by the area of the triangle:
Average value = (8ᵧ + 10ᵧ² + 20ᵧ) / 7
Simplifying this expression gives:
Average value = (8 + 10ᵧ + 20ᵧ) / 7 = (8 + 10(7) + 20(7)) / 7 = 142/7 = 20 2/7
Therefore, the correct answer is not listed among the options provided.
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5. Which of the following would have the same graphic representation as the function
f(x) = 27.3^x ? Select all that apply.
O f(x) = 3•3^3x
O f(x= 3^4x
O f(x) = 3^x+3
O f(x) = (3x)^3
O f(x) = 9.3^x+1
Answer:
f(x) = 3^x+3
f(x) = 9.3^x+1
Step-by-step explanation:
Hope it helps you in your learning process.
A cell triples in weight every hour. The cell initially weighs 0.02 grams.
Answer:
In 1 hour the cell will become 0.06 grams.
If you want more hours, keep on doing that.
Which, if any, of the following generalized formulas does not exist for interhalogen compounds? (X and Y represent different halogens.)
XY
XY2
XY3
XY5
All the above can represent stable interhalogen compounds.
All the above can represent stable interhalogen compounds. Interhalogen compounds are formed when different halogens combine with each other.
The general formula for interhalogen compounds is given by XYn, where X and Y represent different halogens, and n represents the number of Y atoms bonded to the X atom. The interhalogen compounds can have different stoichiometries, resulting in different values of n. Therefore, all the given formulas, XY, XY2, XY3, and XY5, can represent stable interhalogen compounds, depending on the specific combination of halogens and their bonding arrangements.
Hence, none of the given formulas does not exist for interhalogen compounds, as all of them can be valid representations of stable interhalogen compounds.
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Write an equation of a line with the given slope and y-intercept.
m = -2,b=4
Answer:
\(y = -2x+4\)
Step-by-step explanation:
Linear equations can be written in the form \(y=mx+b\) where \(m\) is the gradient/slope and \(b\) is the y-intercept of the line.
With the given slope and y-intercept, the linear equation of the line can be written as \(y=-2x+4\).
Please help!!!
i don’t understand this
Answer:
B. is your answer.
Step-by-step explanation:
4,13,22 find the 35th term
Answer: 310
Step-by-step explanation:
1.Find your constant difference of the sequence by subtracting from left to right which is 9
2. find your fomula by using Tn=bn+C (b is your constant difference you can find C by C=T1 -b ) which will then give us 9n-5
3. T(35)=9n-5=9(35)-5=310
ANSWER ASAP PLEZ I HAVE BEEN ON THESE QUESTIONS FOREVER AND PLEASE DONT JUST TAKE THE POINTS I REALLY NEED HELPPPPPPPPPPP :(
Answer: For #6, domain is {-3≤x<4}, range is {-3<y≤-1}
Step-by-step explanation: For #6 domain, the leftmost point on the graph is -3, with a closed circle. This means that x is greater than or equal to -3 (-3≤x). The rightmost point is 4, with an open circle, meaning that x is less than 4 (x<4). Put them together in the standard format, and you get {-3≤x<4}. Same principle for range; lowest point is -3, with an open circle (-3<y), and highest point is -1, with a closed circle (x≤-1). Result is {-3<y≤-1}.
I'm not sure whether you are a beginner at this or if it's just this one that you're stuck on, I hope my answer was sufficient.
12.2z + 19.4 = -2.7z + 93.9
Answer:
z=5
Step-by-step explanation:
12.2z+ 19.4 = -2.7z + 93.9
14.9z=74.5
z=5
Si 22 patos tienen comida para 10 dias, si tenemos 5 patos ¿cuantos días tendrían comida?
Answer:
\(44\)
Step-by-step explanation:
Formulate equation/expression:
\(22 \times 10 \div 5\)
Calculate:
\( \frac{22 \times10 }{5} \)
Reduce the fraction:
\(22 \times 2\)
Calculate the product or quotient:
\(44\)
Help!!!!
I’m on the last question
Answer: 28
Step-by-step explanation: Both Of Those Triangles Are Equal. That Means They Both Equal 14. So If We Multiply 14 With 2, We Would Get 28 cm!
Hoped This Helped!
Answer:
28cm
Step-by-step explanation:
its a perfect rectangle so both triangle are Reflexive property so they would be the same size
HELP ME PLEASEEEE I NEED ITT !
Answer:
10
Explanation:
130 divided by 13 equals 10
10 times 13 equals 130
Find ∂/∂x 5e^5xy =
f(x, y) = √2x² + 5y² fx(-4,0) = _____
Given f(x, y, z)=√-4x - 6y - z, find fx(x, y, z) = fy(x, y, z) =
fz(x, y, z) =
To find \(\(\frac{{\partial}}{{\partial x}}\) of \(5e^{5xy}\),\) we need to differentiate \(5e^{5xy}\) with respect to \(x\) while treating \(y\) as a constant.
Using the chain rule, the derivative of \(5e^{5xy}\) with respect to \(x\) is given by:
\(\[\frac{{\partial}}{{\partial x}} (5e^{5xy}) = 5y e^{5xy}\]\)
Now, to find \(f_x(-4,0)\) for the function \(f(x, y) = \sqrt{2x^2 + 5y^2}\), we differentiate \(f(x, y)\) with respect to \(x\) and substitute the values \(x = -4\) and \(y = 0\):
\(\[f_x(x, y) = \frac{{\partial}}{{\partial x}} \sqrt{2x^2 + 5y^2}\]\[f_x(-4, 0) = \frac{{\partial}}{{\partial x}} \sqrt{2(-4)^2 + 5(0)^2}\]\[f_x(-4, 0) = \frac{{\partial}}{{\partial x}} \sqrt{32}\]\[f_x(-4, 0) = \frac{{1}}{{2\sqrt{32}}} \cdot \frac{{\partial}}{{\partial x}} (32)\]\[f_x(-4, 0) = \frac{{1}}{{2\sqrt{32}}} \cdot 0\]\[f_x(-4, 0) = 0\]\)
Therefore, \(f_x(-4, 0) = 0\).
For the function \(f(x, y, z) = \sqrt{-4x - 6y - z}\), to find \(f_x(x, y, z)\), we differentiate \(f(x, y, z)\) with respect to \(x\):
\(\[f_x(x, y, z) = \frac{{\partial}}{{\partial x}} \sqrt{-4x - 6y - z}\]\[f_x(x, y, z) = \frac{{1}}{{2\sqrt{-4x - 6y - z}}} \cdot \frac{{\partial}}{{\partial x}} (-4x - 6y - z)\]\[f_x(x, y, z) = \frac{{-4}}{{2\sqrt{-4x - 6y - z}}}\]\[f_x(x, y, z) = \frac{{-2}}{{\sqrt{-4x - 6y - z}}}\]\)
Similarly, for \(\(f_y(x, y, z)\) and \(f_z(x, y, z)\), we would differentiate \(f(x, y, z)\) with respect to \(y\) and \(z\) respectively. However, the given function \(f(x, y, z) = \sqrt{-4x - 6y - z}\) does not contain \(y\) or \(z\) in the square root, so the derivatives \(f_y(x, y, z)\) and \(f_z(x, y, z)\)\) would be zero.
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9. Find m<1
10. Find m<2
11. Find m<3
Answer:
I would say this question has not enough information because there are no 90 degree indicators not parallel indicators, but if that isnt a option, then
Step-by-step explanation:
72+41=113-180=67+41=108-180=72+41=113-180=67+72=139-180=41
<2=67
<1=72
<4=67
<3=41
suppose a drug is known to have mild side effects in 75% of the people who take it . it is administered to 100 people. using the binomial distribution, find the probability that more than 70 people will experience mild side effects
Let X be the number of people who experience mild side effects after taking the drug. X follows a binomial distribution with parameters n = 100 (the number of people taking the drug) and p = 0.75 (the probability of mild side effects).
To find the probability that more than 70 people will experience mild side effects, we need to calculate:
P(X > 70) = 1 - P(X ≤ 70)
Using the cumulative distribution function (CDF) of the binomial distribution, we can find:
P(X ≤ 70) = F(70) = ∑(i=0 to 70) [nCi * p^i * (1-p)^(n-i)]
where nCi is the binomial coefficient for choosing i items out of n.
We can use a software or calculator to calculate this sum, or use an approximation like the normal approximation to the binomial distribution.
Assuming normal approximation is appropriate, with mean μ = np = 75 and standard deviation σ = sqrt(np(1-p)) = 3.354, we can calculate the z-score:
z = (70.5 - μ) / σ = (70.5 - 75) / 3.354 = -1.33
Using a standard normal distribution table or a calculator with normal distribution functions, we can find the probability of z-score less than -1.33 is 0.0918, which is the probability of 70 or fewer people experiencing mild side effects.
Therefore, the probability of more than 70 people experiencing mild side effects is:
P(X > 70) = 1 - P(X ≤ 70) = 1 - 0.0918 = 0.9082
Using the binomial distribution, there is a probability of approximately 0.9082 that more than 70 people will experience mild side effects out of 100 people who take the drug.
11-1 Skills Practice. Areas of Parallelograms and Triangles. Find the perimeter and area of each parallelogram or triangle.
The area of each parallelogram or triangle is 24 cm²,22.5 cm², 98 ft²,48 cm², 90 m², and 30 in² respectively.
In this skills practice problem, we are asked to find the perimeter and area of each parallelogram or triangle, based on their given dimensions. Let's start by defining the formulas for calculating the perimeter and area of each shape:
Perimeter of a parallelogram = 2 x (length + width)
Area of a parallelogram = base x height
Perimeter of a triangle = sum of the lengths of its sides
Area of a triangle = 1/2 x base x height
Now, let's apply these formulas to each shape:
Parallelogram with length 6 cm and width 4 cm:
Perimeter = 2 x (6 + 4) = 20 cm
Area = 6 x 4 = 24 cm²
Triangle with base 9 cm and height 5 cm:
Perimeter = 9 + 8 + 7 = 24 cm
Area = 1/2 x 9 x 5 = 22.5 cm²
Parallelogram with length 14 ft and width 7 ft:
Perimeter = 2 x (14 + 7) = 42 ft
Area = 14 x 7 = 98 ft²
Triangle with base 12 cm and height 8 cm:
Perimeter = 12 + 8 + 10 = 30 cm
Area = 1/2 x 12 x 8 = 48 cm²
Parallelogram with length 18 m and width 5 m:
Perimeter = 2 x (18 + 5) = 46 m
Area = 18 x 5 = 90 m²
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#SPJ11Triangle with base 6 in and height 10 in:
Perimeter = 6 + 8 + 10 = 24 in
Area = 1/2 x 6 x 10 = 30 in²
Therefore, we have calculated the perimeter and area of each given parallelogram or triangle.
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Find the area of triangle XYZ if length XY equals 7 and length XZ equals 4.3. You also
know that angle Y equals 79°.
Answer:
A ≈ 14.8 units²
Step-by-step explanation:
the area (A) of the triangle is calculated as
A = \(\frac{1}{2}\) yz sin Y ( that is 2 sides and the angle between them )
where x is the side opposite ∠ X and z the side opposite ∠ Z
here y = XZ = 4.3 and z = XY = 7 , then
A = \(\frac{1}{2}\) × 4.3 × 7 × sin79°
= 15.05 × sin79°
≈ 14.8 units² ( to 1 decimal place )
Why Did the Flying Saucer Have "U. F. O. " Printed On It?
For each exercise, plot the three given points, then draw a line through them. The line, if extended,
will cross a letter outside the grid. Write this letter in each box containing the exercise number.
om
1. (4, 5) (-2, -1) (0, 1)
2. (-4, 3) (2, -1) (5, -3)
3. (3, 0) (5, -6) (2, 3)
4. (-5, 2) (-2, 3) (1, 4)
5. (0, -2) (-5, -5) (5, 1)
6. (3, 0) (5, -6) (2, 3)
W
M
7. (-1, -2) (-7, -6) (8,4)
8. (-3, 6) (0, 0) (3, -6)
9. (2, -2) (-4, 0) (5, -3)
10. (0, -6) (4, 6) (2, 0)
11. (-3,5) (0, 3) (-6, 7)
12. (-2,-5) (-7, -5) (8,-5)
PUNCHLINE • Bridge to Algebra
©2001, 2002 Marcy Mathworks
• 122 •
Functions and Linear Equations and Inequalities:
The Coordinate Plane
The flying saucer had "U. F. O." printed on it because "U. F. O." stands for "Unidentified Flying Object," which is what the saucer was considered to be. What are Cartesian coordinates?
Cartesian coordinates, also known as rectangular coordinates, are defined as a set of two or three coordinates used to mark the position of a point on a grid. The x-coordinate represents the horizontal position, while the y-coordinate represents the vertical position of the point on the grid.
In order to identify the correct letter, we must first plot the three provided points and draw a line through them. This line will intersect with a letter outside the grid. The letter must be written in each box containing the exercise number. The following is a list of the plotted points and corresponding letters:1. (4, 5) (-2, -1) (0, 1) - O2. (-4, 3) (2, -1) (5, -3) - M3. (3, 0) (5, -6) (2, 3) - W4. (-5, 2) (-2, 3) (1, 4) - P5. (0, -2) (-5, -5) (5, 1) - S6. (3, 0) (5, -6) (2, 3) - W7. (-1, -2) (-7, -6) (8,4) - T8. (-3, 6) (0, 0) (3, -6) - N9. (2, -2) (-4, 0) (5, -3) - K10. (0, -6) (4, 6) (2, 0) - L11. (-3,5) (0, 3) (-6, 7) - E12. (-2,-5) (-7, -5) (8,-5) - RTherefore, the phrase "U. F. O." is printed on the flying saucer as it is considered an "Unidentified Flying Object." The answer is: Unidentified Flying Object (U. F. O.).
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Which is the slop of the function?
Answer:
Slope is 3.
Step-by-step explanation:
Pick 2 points and find the slope from there. Check image.
lagrange multiplier what are the points on the intersection of the ellipsoid with the plane that are respectively closest and furthest from the origin?
The points on the intersection of the ellipsoid with the plane that are respectively closest and furthest from the origin are
(2–√,−2–√,2−22–√)
(−2–√,2–√,2+22–√)
Using Lagrange multipliers we attempt to find the extrema of f(x,y,z)=x2+y2+z2 given that g(x,y,z)=x−y+z−2=0 and that h(x,y,z)=x2+y2−4=0.
Given,
∇f=⟨2x,2y,2z⟩
∇g=⟨1,−1,1⟩
∇h=⟨2x,2y,0⟩
Extrema satisfy the condition that ∇f=μ∇g+λ∇h for some λ,μ∈R.
This is to say,
2x=2λx+μ
2y=2λy−μ
2z=μ
If λ=1 then μ=0 and so z=0, the g constraint tells us that x=y+2, and the h constraint tells us that y2+(y+2)2=4, meaning that either y=0 or y=2. This provides us with two crucial points in addition to the g constraint:
(2,0,0)
(0,−2,0)
Now assume λ≠1, and so
x=μ2−2λ
y=−μ2−2λ=−x
Since x=−y, we have that x=±2–√, y=∓2–√. Using the g constraint, our two critical points are
(2–√,−2–√,2−22–√)
(−2–√,2–√,2+22–√)
And then it's east to determine which is the max and which is the min out of these four critical points.
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The sum of 555 consecutive integers is 120120120.
Answer:
24024022 + 24024023 + 24024024 + 24024025 + 24024026 equals 120120120
Step-by-step explanation: