find the product of 2/5 x 6

How high the football gets is a function of the maximum height of the ball

The football goes 40.313 ft high

The equation that models the height of the ball is given as:

\(h(t) = -5t^2 +27.5t+2.5\)

Differentiate the function

\(h'(t) = -10t +27.5\)

Set to 0

\(-10t +27.5 = 0\)

Collect like terms

\(10t =27.5\)

Divide by 10

\(t =2.75\)

Substitute 2.75 for t in \(h(t) = -5t^2 +27.5t+2.5\) to calculate how high the ball get

\(h_{max} = -5 * 2.75^2 +27.5 * 2.75+2.5\)

\(h_{max} = 40.3125\)

Approximate

\(h_{max} = 40.313\)

Hence, the football goes 40.313 ft high

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If 3n + 2 is an odd integer, then n must be odd.

The proof starts by assuming that n is even, which means it can be expressed as 2k for some integer k.

Substituting this value in the expression 3n + 2, we get:

3n + 2 = 3(2k) + 2 = 6k + 2

Simplifying further, we can factor out 2 from the expression:

3n + 2 = 2(3k + 1)

Since 3k + 1 is an integer, we can see that 3n + 2 is even, which contradicts our original assumption that it is odd. Therefore, our initial assumption that n is even is false, and we conclude that n must be odd.

This proof follows the method of proof by contradiction, where we assume the opposite of what we want to prove and show that it leads to a contradiction, hence proving the original statement.

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Answer:

2,799 square cm

Step-by-step explanation:

Volume of cone: (1/3)π(9^2)(40)=1,080π

Volume of cylinder: π(3^2)(21)=189π

1,080π - 189π = 891π = 2799.2 square cm

a) To find the derivative of y = (2√x - 3)(6 - 5x), we can use the product rule. Applying the product rule, we have:

y' = (2)(6 - 5x) + (2√x - 3)(-5)

Simplifying further, we get:

y' = 12 - 10x - 10√x + 15

Combining like terms, the simplified derivative is:

y' = -10x - 10√x + 27

b) To find the derivative of y = (-/-) (12 + 9)³, we can apply the power rule. The power rule states that for a function of the form f(x) = ax^n, the derivative is given by f'(x) = nax^(n-1).

Applying the power rule, we have:

y' = (-/-) (3)(12 + 9)^(3-1)

Simplifying further, we get:

y' = (-/-) (3)(21)^2

The derivative simplifies to:

y' = (-/-) 1323

Therefore, the derivative of y = (-/-) (12 + 9)³ is y' = (-/-) 1323.

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The circumference of the circle is approximately 17.6 cm  and the area is approximately 24.6 cm²

The perimeter of a circle or an ellipse in geometry is known as the circumference. That is, if the circle were opened up and straightened out to a line segment, the circumference would be the length of the arc. The curve length around any closed figure is more often referred to as the perimeter. The term "circumference" can also refer to the circle's actual location, which corresponds to a disk's edge.

The circumference of a circle is calculated by the formula 2πr .

The given coordinates are A(2,3) and B(4,1)

Here A is the center of the circle and B is any point on the circumference.

Now to calculate the radius we will use the distance formula:

therefore radius \(AB=\sqrt{(3-1)^2+(2-4)^2}\)

\(or,AB=\sqrt{4+4}\\ \\or, AB=2.828\)

\(or, AB\approx2.8\)

Now let us calculate the circumference of the circle:

Circumference = 2πr

or, circumference = 2 × π × 2.8 = 17.592

or, circumference ≈ 17.6 cm

Area = π r²

or, Area = π (2.8)²

or, Area = 24.630 cm²

or, Area ≈ 24.6 cm²

The circumference of the circle is approximately 17.6 cm and the area is approximately 24.6 cm².

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Answer:

That ain't gonna fit in the box because the side is 19.3cm and the side of the box is 15 cm,also its to tall

Answer:

5 paper clips each

Step-by-step explanation:

20/4 = 5

Answer:

They each get 5

Step-by-step explanation:

The relative frequency of the given students surveyed and prefer to go to Cook Middle School and Energy Flow is equal to 0.4 or 40%.

The relative frequency of all students surveyed who go to Cook Middle School and prefer Energy Flow

= (Number of students go to Cook Middle School and prefer Energy Flow) /( total number of students surveyed)

From the given table,

The number of students who go to Cook Middle School and prefer Energy Flow is  equal to 20.

The total number of students surveyed is equal to 50.

The relative frequency of all students surveyed who go to Cook Middle School and prefer Energy Flow is,

= 20/50

= 0.4

Therefore, the relative frequency of all students surveyed going to the Cook Middle School and prefer Energy Flow is equal to 0.4 or 40%.

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The above question is incomplete, the complete question is :

Some students at Cook Middle School and Elm Middle School participated in a survey. They were asked which sports drink they prefer: Gym Juice or Energy Flow. The two-way table shows the results.

                       Gym Juice        Energy Flow   Total

Cook                   15                     20                    35

Elm                       5                     10                     15

Total                    20                     30                     50

What is the relative frequency of all students surveyed who go to Cook Middle School and prefer Energy Flow?

Answer:

To make 700 copies the machine requires 5 minutes and 36 seconds.

Step-by-step explanation:

Given, A machine makes 500 copies in 4 minutes.

∴ The time required to make 1 copy is = (4/500) minutes.

= 0.008 minutes.

So, the time required to make 700 copies is,

= 0.008×700 minutes.

= 5.6 minutes or 5 minutes 36 seconds.

A circle with a circumference of 615.44 units has a radius of 98 units.

A circle is a round closed figure where all its boundary points are equidistant from a fixed point called the center.

The circumference of a circle is the perimeter of the circle. It is the total length of the boundary of the circle. The circumference of a circle is the product of the constant \(\pi\) and the diameter of the circle.

C = \(\pi\)D

The diameter (D) is the distance across the circle through the center, it is a line that meets the circumference at both ends and it needs to pass through the center. On the other hand, the radius (r) of a circle is the distance from the center of a circle to any point on the circumference of the circle. Radius is half of the diameter.

If r = 1/2 D, then

D = 2r

Evaluating the value of Din the formula of the circumference,

C = \(\pi\)(2r)

C = 2\(\pi\)r

Using the value of \(\pi\) as 3.14 and the circumference as 615.44 units,

evaluate the equation.

C = 2\(\pi\)r

615.44 = 2(3.14)r

r = 615.44/ (2*3.14)

r = 98 units

Therefore, the radius of the circle is 98 units.

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Answer:

y = -8

Step-by-step explanation:

1/2y - 4 = -8 (Add 4 to both sides)

1/2y = -4 (Multiply both sides by 2)

y = -8

Step-by-step explanation:

I can't draw here, but I can tell and explain to you what happens to the points (incl. N).

remember the slope of lines, and what happens when we have to create a perpendicular slope (90°) ?

x and y in the slope ratio y/x go upside down and the sign flips (that means it flips for one of them).

a rotation by 90° follows the same principles.

x and y trade places, and for one of them the sign flips.

the only "difficult" trick is to determine, if the sign of x or of y flips.

let's look at N first.

N = (-5, -4)

the rotation counterclockwise takes it over into the 4th (bottom right) quadrant, where x values are positive.

aha, so the sign of x flips after x and y trade places, and we get

N' = (4, -5)

now for the other points

X = (-3, -2)

the same principle as for N

X' = (2, -3)

B = (-4, 1)

this is now moving from the 2nd (where y values are positive) to the 3rd quadrant (where x and y are negative).

so, again the sign of x flips after x and y trade places

B' = (-1, -4)

with the new coordinates of the points you can now easily draw the new triangle'.

A) The prime numbers are; 1, 3, 23

B) The two numbers divisible by 4 are; 8 and 28

C) The two odd composite numbers are; 15 and 33

D) A multiple of 9 is; 18

We are given the set of numbers as;

1,3, 8, 15, 18, 23, 28 and 33.

A) Prime numbers are numbers that are only divisible by themselves and 1. In this list they are;

1, 3, 23

B) Numbers that are divisible by 4 divide 4 without remainder. In this list they are; 8 and 28

C) Odd composite numbers are odd integers which are not prime numbers. In this list they are; 15 and 33

D) Multiple of 9 is number that is gotten by multiplying an integer with 9. The only one on the given list is 18.

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Answer:

Micrometer, Is the answer

Step-by-step explanation:

2=3=5

if my answer gets deleted.. never mind very unprofessional of me of what i was gonna say..

ENJOY:)

Answer:

i think a

Step-by-step explanation:

Answer: a

Step-by-step explanation:

I think

The only possible values of c that would make the vectors v and w orthogonal are the square roots of 35 and their negatives.

To find the values of c that make v and w orthogonal, we need to use the dot product formula:
v · w = (1)(1) + (6)(-6) + (c)(c) = 1 - 36 + \(c^2\)
We know that v and w are orthogonal when their dot product is equal to 0. So, we can set the equation we just formed equal to 0 and solve for c:
1 - 36 + \(c^2\) = 0
\(c^2\) = 35
c = ± √35
Therefore, the values of c that make v and w orthogonal are √35 and -√35. We can write the answer as a comma-separated list:
c = ± √35

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The readability of a double-pan torsion balance is typically very small, usually in the range of a few milligrams (mg). This is because the double-pan torsion balance is a highly sensitive instrument used to measure very small masses.

The readability of a double-pan torsion balance is determined by the sensitivity of the torsion spring which is used to measure the mass on the scale pans. The higher the sensitivity of the torsion spring, the higher the readability of the double-pan torsion balance. The readability of a double-pan torsion balance is typically in the range of 0.1 to 0.5 mg.

This allows the balance to measure very small increments with a high degree of accuracy and precision. The readability of a double-pan torsion balance is critical for accurate measurements of very small masses, such as in the pharmaceutical, chemical and food industries.

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Answer:

C: 2 students, 40 dollars

Step-by-step explanation:

this is because this is where the line intersects

Hopes this helps

Answer:

a = -3  b = -5  c = 9

Step-by-step explanation:

A quadratic function is written in the form

ax^2 +bx +c =0

-3x^2-5x+9=0

a = -3  b = -5  c = 9

Answer:

1/8

Step-by-step explanation:

As you can see, I unit fraction is 1/8 or any fraction with a one mostly because unit means 1.. always remember that!

Answer:

\(\overline {LD}\) = 0.6 inch

m∠ABC = 60°

Step-by-step explanation:

The given parameters are;

The given triangle ΔABC = A right triangle

The angle bisector of ∠CBA = BL

The length of BL = LB = 1.2 in.

The length of LC = 0.6 in.

We have;

\(\overline {LB}\) ≅ \(\overline {LB}\) reflexive property

∠ABC = ∠CBL + ∠DBL and ∠CBL ≅ ∠DBL definition of bisected angle

∠CBL = ∠DBL by definition of congruency

∠CLB + ∠CBL = ∠CLB + ∠DBL = 90°, opposite angles of a the right angle triangle are supplementary

∴ ∠CLB = ∠CLB by addition property of equality

ΔLDB ≅ ΔLBC are congruent by the Angle-Side-Angle rule of congruency

∴ \(\overline {LD}\) ≅ \(\overline {LC}\) Congruent Parts of Congruent Triangles are Congruent (CPCTC)

\(\overline {LD}\) = \(\overline {LC}\) = 0.6 in. by definition of congruency

\(\overline {LD}\) = 0.6 in.

sin(m∠CBL) = Opposite side/(Hypotenuse side) = \(\overline {LC}\)/\(\overline {LB}\) = 0.6/1.6 = 1/2

m∠CBL = sin⁻¹(1/2) = 30°

m∠CBL = m∠DBL = 30°

m∠ABC = m∠CBL + m∠DBL = 30° + 30° = 60°

m∠ABC = 60°

These agencies use statistics to provide reliable and timely information that supports evidence-based decision-making, policy formulation, economic planning, and monitoring of global and national development goals.

1. United States Census Bureau: The U.S. Census Bureau is a federal agency responsible for collecting and analyzing demographic, social, and economic data about the United States. It conducts the decennial census, as well as numerous surveys and studies that provide statistical information for policy-making, research, and decision-making purposes.

2. National Center for Health Statistics (NCHS): NCHS is a division of the U.S. Centers for Disease Control and Prevention (CDC) that collects and disseminates vital health statistics for the country. It conducts surveys, gathers data from various sources, and produces reports on topics such as mortality, morbidity, birth rates, and health behaviors, which help inform public health policies and programs.

3. Eurostat: Eurostat is the statistical office of the European Union (EU), responsible for collecting and publishing statistical information on various aspects of the EU member countries and their economies. It provides data on areas such as population, economy, agriculture, environment, and social conditions, facilitating evidence-based decision-making and monitoring of EU policies.

4. Australian Bureau of Statistics (ABS): The ABS is Australia's national statistical agency, collecting, analyzing, and disseminating a wide range of statistical data on the country's population, economy, and society. It conducts regular surveys and censuses, providing insights into areas like labor market, population trends, housing, and social well-being, to support informed decision-making by government, businesses, and the public.

5. Statistics Canada: Statistics Canada is the national statistical agency of Canada, responsible for gathering and analyzing statistical data on various aspects of the country. It conducts surveys, censuses, and administrative data collection to produce information related to population, economy, agriculture, and social conditions. The data generated by Statistics Canada is used to inform government policies, business strategies, and research activities.

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A book on the Nuer that provides a detailed account of their way of life based on firsthand observation is known as an ethnography and is based on fieldwork.

An ethnography is a form of qualitative research that involves firsthand observation and documentation of a particular culture or social group. It is a comprehensive study that aims to provide an in-depth understanding of the group's way of life, customs, beliefs, and practices. In the context of the Nuer, an ethnography would focus specifically on their culture, traditions, social structure, economic activities, religious beliefs, and other aspects that shape their way of life.

To produce an ethnography, the author typically engages in fieldwork, which involves immersing themselves in the culture and community being studied. This often includes living among the Nuer people, participating in their daily activities, conducting interviews, and observing their rituals and interactions. The firsthand experience and direct engagement with the Nuer community allow the author to gather detailed and accurate information to present a comprehensive account of their way of life in the book.

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Answer:

one

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Postulate 3: Through any two points, there is exactly one line.

Answer:

158in^2

Step-by-step explanation:

Answer:

158 in^2

Step-by-step explanation:

2C = 2x5x8 = 80

2B = 2x3x8 = 48

2C = 2x3x5 = 30

80+48+30 = 158 in^2

True. The DMAIC approach, which stands for Define, Measure, Analyze, Improve, and Control, is an effective problem-solving methodology used in Six Sigma.

Step 1: Define: Establish the problem to be solved and the goals of the project.

Step 2: Measure: Collect data related to the problem.

Step 3: Analyze: Analyze the data to identify the root cause of the problem.

Step 4: Improve: Develop and implement solutions to address the root cause of the problem.

Step 5: Control: Monitor the process to ensure that the problem remains resolved and that the improvements are sustained.

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Answer:

x = 3

Step-by-step explanation:

By setting up an inequality, the maximum number of vans that are needed to ferry 80 people are 7 vans.

To find the maximum number of vans needed to ferry 80 people using the given terms, let's set up an inequality. Let's use the variable "v" to represent the number of vans.

Since a van can ferry a maximum of 12 people, we can write the inequality as:

12v ≥ 80

Now, let's solve for "v":

Divide both sides of the inequality by 12.
v ≥ 80/12

Simplify the inequality.
v ≥ 6.67

Since we cannot have a fraction of a van, we need to round up to the nearest whole number:

v ≥ 7

Therefore, the maximum number of vans needed to ferry 80 people is 7 vans.

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