Lauren drew a triangle. Its sides were 7\text{ mm}7 mm7, start text, space, m, m, end text, 9\text{ mm}9 mm9, start text, space, m, m, end text, and 7\text{ mm}7 mm7, start text, space, m, m, end text. It has three acute angles. Complete the sentence to describe the triangle Lauren drew. Lauren's triangle is

Answer:

True

Step-by-step explanation:

I hope this helps!

Answer:

18-26i

Step-by-step explanation:

hope this helps :)

Answer:

y=2x+3 i think

Step-by-step explanation:

Answer:

Step-by-step explanation:

For i figure

Radius=9×10^3

Diameter=18×10^3

For j figure

Radius=1m

Diameter=2m

For k

Radius=17×10^-2

Diameter=34×10^-2

For l

Radius=25×10^-3

Diameter=50×10^-3

The volume of the cone is one-third the volume of the pyramid, the area of the circle is pi/4 the area of the square because the radius of the circle is half the side length of the square.

The volume of the cone is one-third the volume of the pyramid because the cone's base is a sector of the square, and the sector takes up one-third of the square's area.

Volume of a cone: The volume of a cone is equal to (1/3)πr²h, where r is the radius of the base and h is the height of the cone.

Volume of a pyramid: The volume of a pyramid is equal to (1/3)Bh, where B is the area of the base and h is the height of the pyramid.

In the problem, we are told that the area of the circle is pi/4 the area of the square. This means that the radius of the circle is half the side length of the square. We can use this information to find the volume of the cone and the pyramid.

Volume of the cone: The radius of the cone is half the side length of the square, so r = s/2. The height of the cone is h. The area of the base of the cone is (pi)(r²) = (pi)(s²/4). So, the volume of the cone is (1/3)π(s²/4)h = (1/12)πs²h.

Volume of the pyramid: The area of the base of the pyramid is the same as the area of the base of the cone, which is (pi)(s²/4). The height of the pyramid is the same as the height of the cone, which is h. So, the volume of the pyramid is (1/3)π(s²/4)h = (1/12)πs²h.

As you can see, the volume of the cone is equal to one-third the volume of the pyramid.

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The correct option (a) 2000, is the miles are driven on each tire.

For the stated question-

Miles are driven on each tire = Total distance/number of tires.

Miles are driven on each tire = 10000/5

Miles are driven on each tire = 2000

Thus, the number of miles are driven on each tire is 2000 miles.

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Answer:

-6(15) = -90

Step-by-step explanation:

() means multiply so -6 x 15 = -90

1     5

-      6

-3       0

-6

-90             (cross multiplying)

- x + = -

- x - = +

Answer:

$0.34 per ounce

Step-by-step explanation:

A 5 pound box can be changed to ounces. There are 16 ounces in a pound. So we have 5 groups of 16.

5 × 16 is 80 ounces.

There are 80 ounces in 5lbs.

To get a price per ounces, divide.

dollars/ounces

= 27.20/80

= 0.34 dollars/oz.

This is 34cents per ounce.

Answer:

Fee-free banking

Step-by-step explanation:

Answer:

fee free checking

Step-by-step explanation:

If the sample is not truly representative, the conclusion may not accurately reflect the actual average age of all the students at the college.

Based on the given information, it can be concluded that the average age of all the students at City College is likely around 20. However, it's important to note that this conclusion is only valid if the sample of 90 students is representative of the entire student population at City College. If the sample is not truly representative, the conclusion may not accurately reflect the actual average age of all the students at the college.

The average age in a sample of 90 students at City College is 20. However, based on this sample alone, it cannot be conclusively determined that the average age of all the students at City College is also 20. This is because the sample may not be fully representative of the entire student population. More information or a larger sample would be needed to make a more accurate conclusion about the average age of all students at City College.

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If the sample of 90 students is representative of the entire student population at City College, then we can conclude that the average age of all students is approximately 20 years old.

Based on the given information, the average age in a sample of 90 students at City College is 20.

To determine if this sample can be used to conclude the average age of all students at City College, we need to consider these terms:
Sample:

A subset of a population, which in this case is the group of 90 students at City College.
Population:

The entire group of students at City College that we want to make a conclusion about.
Average (Mean) Age:

The sum of ages divided by the total number of students, in this case, 20 years.
Representativeness:

How well the sample reflects the characteristics of the entire population.
If the sample of 90 students is representative of the entire student population at City College, then we can conclude that the average age of all students is approximately 20 years old.

However, if the sample is not representative, the conclusion may not be accurate.

To make a more accurate conclusion, it is important to ensure that the sample is representative by using a larger sample size or random sampling methods.

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Answer:

multiply the width length

The third operation performed third when simplifying the given expression is  10 × 9.

Order of operations are the rules that tell the sequence in which the multiple operations in an expression should be solved.

Bracket                   (  )

Of Multiplication    Of

Division                   ÷

Multiplication          x

Addition                  +

Subtraction             -

1st operation (Evaluate the expression in the bracket):

60 ÷ 6 × ( 18 - 9 ) + 4  =>  ( 18 - 9 )

2nd operation (Division):

60 ÷ 6 × 9 + 4  =>   60 ÷ 6              

3rd operation (Multiplication):

10 × 9 + 4  =>   10 × 9

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To find the volume of the object, we can integrate the areas of the cross sections perpendicular to the y-axis along the given interval.

First, let's find the limits of integration by setting the two equations for the base equal to each other and solving for y:

-x = y^2 - 26y + 186

Rewriting the equation as a quadratic equation:

y^2 - 26y + 186 + x = 0

This equation represents a parabola. We can find the y-values at the intersection points by using the quadratic formula:

y = (-b ± √(b^2 - 4ac)) / (2a)

For this equation, a = 1, b = -26, and c = 186 + x.

The discriminant, b^2 - 4ac, is given by:

D = (-26)^2 - 4(1)(186 + x) = 676 - 744 - 4x = -68 - 4x

Since we want to find the y-values where the parabola intersects, we need to find the values of x where the discriminant is greater than or equal to 0:

-68 - 4x ≥ 0

-4x ≥ 68

x ≤ -17

Therefore, the limits of integration for x are from -∞ to -17.

Now, we can find the area of each cross section perpendicular to the y-axis. Given that each cross section is a semi-circle, the area of a cross section at a particular y-value will be:

A(y) = (1/2) * π * r^2

where r is the radius of the semi-circle. The radius, in this case, is the difference between the x-values of the two curves:

r = (y^2 - 26y + 186) - (-(y^2 + 2y + 160)) = y^2 - 26y + 186 + y^2 + 2y + 160 = 2y^2 - 24y + 346

The volume of the object is then given by integrating the area function with respect to y over the given interval:

V = ∫[a,b] A(y) dy = ∫[a,b] (1/2) * π * (2y^2 - 24y + 346)^2 dy

where a and b are the limits of integration for y, which we still need to determine.

To find the limits of integration for y, we need to solve the quadratic equation for y:

x = -(y^2 + 2y + 160)

y^2 + 2y + (x + 160) = 0

Using the quadratic formula:

y = (-2 ± √(2^2 - 4(x + 160)))/(2) = (-2 ± √(4 - 4(x + 160)))/(2) = (-2 ± √(-4x - 636))/(2) = -1 ± √(-x - 159)

Since the limits of integration are perpendicular to the y-axis, we consider the y-values that correspond to the endpoints of the base.

Therefore, the limits of integration for y are -1 - √(-x - 159) and -1 + √(-x - 159).

Finally, we can now evaluate the integral:

V = ∫[-∞, -17] (1/2) * π * (2y^2 - 24y + 346)^2 dy

This integration requires further algebraic simplification and evaluation.

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Answer:

000.212

Step-by-step explanation:

The answer is:

\(\large\textbf{They aren't equivalent.}}\)

In-depth explanation:

To determine the answer to this problem, we will use one of the exponent properties:

\(\sf{x^{-m}=\dfrac{1}{x^m}}\)

And

\(\sf{\dfrac{1}{x^{-m}}=x^m}\)

Now we apply this to the problem.

What is 4⁻³ equal to? Well according to the property, it's equal to:

\(\sf{4^{-3}=\dfrac{1}{4^3}}\)

And this question asks us if 4⁻³ is the same as 1/4⁻3.

Well according to the calculations performed above, they're not equivalent.

Based on the given information and the Mean Value Theorem, we can determine that the largest possible value of f(5) is 21. The Mean Value Theorem guarantees the existence of a point within the interval (−1, 5)


To find the largest possible value of f(5) using the Mean Value Theorem, we can consider the interval [−1, 5]. Since f(x) is continuous on this interval and differentiable on the open interval (−1, 5), the Mean Value Theorem guarantees the existence of a point c in the interval (−1, 5) such that the derivative of f(x) at that point is equal to the average rate of change of f(x) over the interval [−1, 5].

Since f(−1) = −3 and f(x) is continuous on the interval [−1, 5], by the Mean Value Theorem, there exists a point c in the interval (−1, 5) such that f'(c) is equal to the average rate of change of f(x) over the interval [−1, 5]. The average rate of change of f(x) over this interval is given by (f(5) - f(−1))/(5 - (−1)) = (f(5) + 3)/6.

Now, since we are given that f′(x) ≤ 4 for all values of x, we can conclude that f'(c) ≤ 4. Therefore, we have f'(c) ≤ 4 ≤ (f(5) + 3)/6. By rearranging the inequality, we get 24 ≤ f(5) + 3. Subtracting 3 from both sides gives 21 ≤ f(5), which means the largest possible value of f(5) is 21.

By considering the given conditions, such as f(−1) = −3 and f′(x) ≤ 4, we can derive the inequality 21 ≤ f(5) as the largest possible value.

#Let the function f be continuous and differentiable for all x. Suppose you are given that f(−1)=−3, and that f

′ (x)≤4 for all values of x. Use the Mean Value Theorem to determine the largest possible value of f(5).

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when we add negative number to the positive number we just subtract the smaller number from the larger number and put the sign or the larger number after words

examples:- First

\(5 + ( - 2) = 5 - 2 = 3\)

like here we put + in front of 3 as larger number 5 is positive

\( - 7 + 5 = - 2\)

we put negative because 7 is larger then 5 and 7 is negative

b. technical feasibility.  this is correct option.

A feasibility study includes tests for technical feasibility, which refers to the practical resources needed to develop, purchase, install, or operate the system. It assesses whether the required technology, hardware, software, and infrastructure are available and can be effectively implemented to support the system. The focus is on evaluating the technical requirements, constraints, and risks associated with the proposed system to ensure its successful implementation and operation.

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The area of the circle in terms of π if the circle has a radius of 16 ft is 256 π ft^2. Option A is correct.

First, let us understand the circle:

A circle is nothing more than a round form with no corners or line segments. In geometry, it is a closed curve shape.

Some formulas related to circle:

Area of the circle = πr^2

Circumference of the circle = 2πr

where, r = radius of the circle.

We are given;

A circle has a radius of 16 ft.

We need to find the area of the circle in terms of π.

Area of the circle = πr^2

Put the value of r in the above formula:

Area of the circle = π 16^2 * ft^2

Area of the circle = 256 ft^2

Thus, the area of the circle in terms of π if the circle has a radius of 16 ft is 256 π ft^2. Option A is correct.

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Answer:

option A

Step-by-step explanation:

The inequality represents the 6 ≤ x < 12 fish length between 6 to 12 inches and you can purchase fish that has lengths between 6 to 12 inches for $4.50

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

There is a fisherman that sells fish smaller than 12 inches in length for $3.00, anything that is 12 inches or longer is $6.00 in price.

For the size of $3.00 fish that he can sell.

6 ≤ x < 12

y is the length of fish that 12 inches or longer

y ≥ 12 for $6

The amount you have = $4.50

You can purchase fish that has lengths between 6 to 12(less than 12 inches)

So, fish length: 6 ≤ x < 12

Thus, the inequality represents the 6 ≤ x < 12 fish length between 6 to 12 inches and you can purchase fish that has lengths between 6 to 12 inches for $4.50

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The intervals on which function f(x) = sin x -1 increasing or decreasing is (0, π/2) (B).



The given function is f(x) = sin x -1, 0 < x < 2 π.

A sinusoidal function is a function that can be written in the form f(x) = a sin(bx + c) + d or f(x) = a cos(bx + c) + d, where a, b, c, and d are constants.

The graph of the given function is a sine curve shifted downward by 1 unit.

The function is increasing on the interval (0, π/2) because the slope of the curve is positive on this interval.

The function is decreasing on the interval (π/2, 3π/2) because the slope of the curve is negative on this interval.

The function is increasing again on the interval (3π/2, 2π) because the slope of the curve is positive on this interval.

Therefore, the correct answer is option B. (0, π/2).

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Answer:

Ms. Cohen can buy 12 poxes of crayons.

Step-by-step explanation:

Ms. Cohen can buy 12 boxes of crayons with the rest of her money. In the question it states she only wants to buy 1 poster not more than one so if she buys 1 poster that's

30-5-25

and than you can just count up by 2 till you get the closest to 25

25-24=1$

24/2 = 12

Hope this helps.

The number of boxes of crayons that can be bought is needed.

The number of boxes that can be bought at most is 12.

Let \(x\) be the number of boxes of crayons

Total amount of money = $30

Cost of one box = $2

Cost of poster = $5

The linear inequality will be

\(2x+5\leq 30\\\Rightarrow x\leq\dfrac{30-5}{2}\\\Rightarrow x\leq 12.5\)

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Answer:

610000

Step-by-step explanation:

Srry i misread that i thought it said round to the nearest thousandth f

After rounding the number to the nearest thousand we get 609635.783

Here,

The given number to round nearest thousand is 609635.782852

What is rounding off of a number?

Rounding off means a number is made simpler by keeping its value intact but closer to the next number.

Now,

In rounding off a number nearest thousand we can write a number up to 3 decimal places

So after rounding 609635.782852 to the nearest thousands we get,

609635.783

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The cost of a new home, built of standard materials, with standard techniques and design replacement cost and reproduction cost may be the same.

When analyzing the cost of a new home built with standard materials, techniques, and design, the relationship between replacement cost and reproduction cost may vary. Option 4) Replacement cost and reproduction cost may be the same, is the most accurate statement.

Replacement cost refers to the amount required to replace or rebuild a property, while reproduction cost refers to the cost of constructing an exact replica of the original property. These costs can be the same in some cases, but factors such as market conditions, construction costs, and availability of materials can affect the costs differently. Cost and value are not always the same, as value considers factors such as location, demand, and economic conditions.

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Answer:

b. 1.97

Step-by-step explanation:

1cm≈0.032feet

60/0.032≈1.97feet

Answer:

A.) -1.0 or -1/1

B.) 0.75 or 3/4

C.) 0.25 or 1/4

D.) -1.25 or -5/4

Answer:

The average rate of change of a function over an interval is found by taking the difference between the function's values at the endpoints of the interval and dividing by the length of the interval. In this case, we have:

f(1) = -3(1)^3 + 7(1) = -3 + 7 = 4

f(3) = -3(3)^3 + 7(3) = -27 + 21 = -6

The average rate of change over the interval from x=1 to x=3 is therefore (-6 - 4) / (3 - 1) = -10 / 2 = -5.

To label your answer, you could write something like: "The average rate of change of the whale's movement over the interval from x=1 to x=3 seconds is -5 meters/second."