What is 7,602 rounded to the nearest whole number

Answer:

80

Step-by-step explanation:

There is 20 students in her class.

Here, we have,

3/10= size of slice;

we can get 3 slices from one pizza.

There are 6 pizzas..... 3x6=18;

there will be a remained of 1/10 from each pizza

because 3/10 is not an even number.

Now u would have (6) 1/10's.... So 1/10+1/10+1/10= 3/10 and 1/10+1/10+1/10=3/10.....

That makes two more slices for two more students......

18+2=20 slices for 20 kids in the class.

Hence, There is 20 students in her class.

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Answer:

t ≥ 18

Step-by-step explanation:

He has run 12 miles plus some more miles t.  He need to run at least 30 miles

12+t ≥ 30

Subtract 12 from each side

12+t-12 ≥ 30-12

t ≥ 18

Answer:

t 》18

Step-by-step explanation:

t + 12 》30

t 》30 - 12

t 》18

The total cost of the skateboard after being discounted by 12% and then sales tax of 6.75% is$74.22.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

As per the given,

Usually, the price of the skateboard = $79.01

The 12% of 79.01 ⇒ (12/100)79.01 = $9.4812

The price after a 12% discount

79.01 - 9.4812 = $69.5288

The 6.75% of 69.5288 ⇒(6.75/100)69.5288 = $4.693194

The total price after applying the 6.75% tax,

$69.5288 + $4.693194 = $74.22

Hence "The total cost of the skateboard after being discounted by 12% and then sales tax of 6.75% is$74.22".

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The critical t-value is approximately 1.753.

To find the critical value for a 96% confidence interval with a sample size of 15, we need to determine the t-value from the t-distribution table. The t-distribution table is a statistical tool used to determine the probability of a t-value given the degrees of freedom (df) and the desired level of significance (α).

In this case, we have a sample size of 15, which means our degrees of freedom are 14 (n - 1). Looking at a t-distribution table for 14 degrees of freedom and a 96% confidence interval.

This means that if we were to construct a confidence interval from a sample size of 15, the margin of error would be calculated by multiplying the critical t-value of 1.753 by the standard deviation of the sample and dividing by the square root of the sample size. The resulting interval would contain the population mean with 96% confidence.

It's essential to note that the critical value will change as the sample size and confidence level change. Therefore, it's crucial to use the correct table to find the corresponding critical values for a given dataset's sample size and confidence level.

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Answer:

y=16 x=4

Step-by-step explanation:

do dbdhdhdbdbd

Answer:

x=4 , y=16

Step-by-step explanation:

x-intercept:         y-intercept:

-4x+16=y              -4x+16=y    

-4x+16=0              -4x0+16=y

-4x=-16                 y=16

x=4

Answer: They are

Step-by-step explanation:

To prove that the two circles are similar, we have to know that they both have a radius similar to each other. Since one circle has a radius of 2 and the other has 4, the two circles are similar.

Answer: 2/3.

Step-by-step explanation: When you add all the spades, hearts, clubs, and diamonds cards together, you get 30 in total.  1/3 of the 30 cards in total are diamonds, so the other 2/3 can be drawn as well.  The probability of not choosing a diamond card is 2/3, since the remaining 1/3 is all diamonds.

Have a great day! :)

The function in variable w giving the cost C (in dollars) of constructing the box is C(w) = 30w² + 270/w. The result is obtained by using the formula of volume and area of the box.

We have a rectangular storage container without a lid.

The formula of volume of the box is

V = l × w × h

Where

So, the height is

10 = 2w × w × h

10 = 2w² × h

h = 10/2w²

h = 5/w²

To find the total cost, calculate the area of base and sides of the box!

See the picture in the attachment!

The base area is

A₁ = 2w × w = 2w² m²

The sides area is

A₂ = 2(2wh + wh)

A₂ = 2(3wh)

A₂ = 6wh

A₂ = 6w(5/w²)

A₂ = 30/w m²

The total cost is

C = $15(2w²) + $9(30/w)

C = $30w² + $270/w

The function of the total cost is

C(w) = 30w² + 270/w

Hence, the function of constructing the box is C(w) = 30w² + 270/w.

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If the 100th term of an arithmetic sequence is 389, and its common difference is 4, then the first term of the arithmetic sequence is -7.

For the first term of the arithmetic sequence with the 100th term being 389 and a common difference of 4, you can use the formula for the nth term of an arithmetic sequence:

An = A1 + (n - 1)d

Where An is the nth term (in this case, the 100th term), A1 is the first term, n is the number of terms (100), and d is the common difference (4).

We know that An = 389 and n = 100, so we can plug these values into the formula:

389 = A1 + (100 - 1)4

Now, solve for A1:

389 = A1 + 396

Subtract 396 from both sides:

A1 = -7

So, the first term of the arithmetic sequence is -7.

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Answer:

The Sandbox must be 19x19 for the area to be 361.

Step-by-step explanation:

(19x19=361)

The length of the sandbox will be 19 feet.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the square in a two-dimensional plane is called the area of the square.

Given that Mr. Drew wants to build a square sandbox with an area of 361 square feet.

The length will be calculated by using the area formula for square;

Area of square = Length x width

Then the area of the square can be written as;

Area of square = ( Length )²

361=  ( Length )²

( Length ) = √361

( Length ) = 19feet

Therefore, the length of the sandbox will be 19feet.

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Answer:x = 1/60

Step-by-step explanation:

(8^x/4+4)=(8^-19x/4)

Apply fraction cross multiply: a/b = c/d  then a*d = c*b

8^x * 4 = (4+4) * 8^-19x

simplify

8^x * 4 = 8 * 8^-19x

Apply exponet rules

xln(8) + ln(4) = (-19x +1) ln(8)

then just solve

x= 1/60

while y = -1/8

Given that in 1983 the human population in the Coachella Valley was estimated to be 67110 people and by 2017, the population was measured again to be 85470 people living in the valley. The aim is to predict the human population of the Coachella Valley in 2026.

Linear change is the arithmetic progression because each term after the first term is found by adding a fixed value, d to the preceding term. In this case, the first term a = 67110, and common difference d = 85470 - 67110 = 18360.

From the above information, it is evident that the data represent an arithmetic sequence with first term a = 67110, and common difference d = 18360.

Therefore, we can predict the human population of the Coachella Valley in 2026 as follows:The nth term of an arithmetic sequence is given by the formula:$$a_n = a + (n-1)d$$

Here, n represents the nth year after 1983.Therefore, when n = 44 (in 2026), the population P is given as: P = a + (n - 1)d

Substituting the given values in the formula, P = 67110 + (44 - 1)18360

= 67110 + 43(18360)

= 67110 + 789480

= 856590

Therefore, the human population of the Coachella Valley in 2026 is 856590 people.

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The diagonals of the parallelogram intersect at the center. Then the value of the variable 'x' is 38.

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal. Its diagonals intersect in the center.

Given parallelogram A B C D below, DE = 31 If EB = x - 7.

By the definition, then the equation is given as,

EB = DE

x - 7 = 31

Simplify the equation, then we have

x - 7 = 31

x = 31 + 7

x = 38

The value of the variable 'x' is 38.

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Answer:

A.

Stepby-step explanation:

The second one is equal to each other regardless, if you cancel the 2x you get 12 = 12

Answer:

Step-by-step explanation:

Please see diagram attached.

Moon A and C are 100,000km + 10,000 = 110,000km from center of planet.

So they are 110,000 + 110,000 = 220,000km apart.

Answer:

Step-by-step explanation:

AC is 220000km according to the drawing:

To find the orthogonal projection of a vector onto a subspace, we can use the formula:

projᵥ(u) = A(AᵀA)⁻¹Aᵀᵤ,

where A is a matrix whose columns span the subspace, and u is the vector we want to project.

In this case, the subspace W is spanned by the vector v = [0, 0, 0, 1].

Let's calculate the orthogonal projection of u onto W using the formula:

A = [v]

The transpose of A is:

Aᵀ = [vᵀ].

Now, let's substitute the values into the formula:

projᵥ(u) = A(AᵀA)⁻¹Aᵀᵤ

= v⁻¹[vᵀ]u

= [v][(vᵀv)⁻¹vᵀ]u

Substituting the values of v and u:

v = [0, 0, 0, 1]

u = [1, 0, 0, 0]

vᵀv = [0, 0, 0, 1][0, 0, 0, 1] = 1

[(vᵀv)⁻¹vᵀ]u = (1⁻¹)[0, 0, 0, 1][1, 0, 0, 0] = [0, 0, 0, 1][1, 0, 0, 0] = [0, 0, 0, 0]

Therefore, the orthogonal projection of u onto the subspace W is [0, 0, 0, 0].

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A strategy canvas is a visual framework used to analyze and compare the strategic positioning of different companies or products within an industry.

It is a tool developed by W. Chan Kim and Renée Mauborgne, the creators of the Blue Ocean Strategy, to help organizations identify and create new market spaces by differentiating their offerings.

The strategy canvas consists of two axes: the horizontal axis represents the key factors that the industry competes on, and the vertical axis represents the offering level or degree of offering provided for each factor. By plotting the current state of competing products or companies on the canvas, organizations can gain insights into the competitive landscape and identify areas of opportunity for innovation and differentiation.

The strategy canvas helps visualize the competitive factors that are driving the industry and highlights areas of convergence or similarity among existing offerings. It allows organizations to identify untapped market spaces where they can create unique value propositions and redefine the competitive boundaries.

To use a strategy canvas effectively, organizations need to analyze the key factors that customers value in the industry and assess the relative performance of their offerings compared to competitors. By identifying the factors where they are underperforming and overperforming, organizations can focus on enhancing their value proposition by reallocating resources, investing in areas of differentiation, and eliminating or reducing elements that do not create significant customer value.

A strategy canvas is a powerful tool for strategic analysis and innovation. It helps organizations visualize the competitive landscape, identify areas for differentiation, and create new market spaces by providing a clear understanding of customer preferences and the competitive factors that drive industry success.

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Answer:

a

Step-by-step explanation:

Let's go through each answer choice.

The formula for Area of a rectangle is \(A=l*w\)

a.

\(A=l*w=19*20=380\ ft^2\)

b.

\(A=l*w=17*22=374\ ft^2\)

c.

\(A=l*w=21*18=378\ ft^2\)

d.

\(A=l*w=23*16=368\ ft^2\)

Upon evaluation of each answer choice, we can conclude:

\(380 > 378 > 374 > 368\)

Therefore the answer is a.

Answer:

A hexagon

Step-by-step explanation:

A hexagon - - - the allen wrench has 2 hexagonal heads. See attached pic.

The geometric shape that forms the hole that fits an allen wrench is a hexagon, which is a six-sided polygon with straight sides and angles.

The geometric shape hexagon-shaped hole in an allen wrench, also known as a hex key, is designed to fit tightly over the hexagonal socket of a screw or bolt head. A hexagon is a six-sided polygon, meaning it has six straight sides and angles. In the case of an allen wrench, the hexagon has internal angles of 120 degrees and opposite sides that are parallel.

The hexagonal shape of the hole in the wrench allows for a tight and secure fit onto the corresponding hexagonal socket of the screw or bolt head. This design ensures that the wrench can apply a significant amount of torque to the fastener without slipping, which is essential for many applications in construction, mechanics, and other industries.

The use of a hexagonal shape also allows for greater precision and control when turning the screw or bolt, making it easier to achieve the desired level of tightness. Overall, the hexagon is an ideal shape for the hole in an allen wrench due to its strength, stability, and precision.

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The correct statement is B. For all b, the equation Ax=b has a solution.

Since the columns of A are linearly independent, then the matrix A has full rank, and its column space is equal to the entire vector space in which it resides. This means that for any given vector b, we can find a linear combination of the columns of A that is equal to b, and therefore the equation Ax=b has a solution for all b.

Option A is incorrect, as there may be certain b vectors for which Ax=b has a solution.

Option C is incorrect, as the equation Ax=b may have a solution even when A has fewer columns than rows.

Option D is incorrect, as we can determine whether or not the equation Ax=b has a solution for all b by checking the rank of A.

Option E is incorrect, as the equation Ax=b may have a solution even when A has more columns than rows.

Option F is incorrect, as a square matrix may or may not have linearly independent columns, and therefore may or may not have a solution for all b.

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Answer:

tacos bro :P

Step-by-step explanation:

Answer:

I like taco's better.. :D

Step-by-step explanation:

Answer:

16,17,18,

Step-by-step explanation:

:D im so smart

Answer:

14 16 15 17 16 18

Step-by-step explanation:

a) The firm's average variable cost function is AVC = -2y + 5.

b) The firm's marginal cost function is MC = 3y^2 - 4y + 5.

c) The average variable cost does not have a minimum point in this case.

To find the firm's average variable cost function, we divide the total variable cost (TVC) by the level of output (y).

(a) Average Variable Cost (AVC):

The total variable cost (TVC) is the sum of the variable costs, which are the costs that vary with the level of output. In this case, the variable costs are the terms -2y^2 + 5y.

TVC = -2y^2 + 5y

To find the average variable cost (AVC), we divide TVC by the level of output (y):

AVC = TVC / y = (-2y^2 + 5y) / y = -2y + 5

Therefore, the firm's average variable cost function is AVC = -2y + 5.

(b) Marginal Cost (MC):

The marginal cost represents the change in total cost that occurs when the output increases by one unit. To find the marginal cost, we take the derivative of the total cost function with respect to the level of output (y):

c'(y) = d/dy (y^3 - 2y^2 + 5y + 6) = 3y^2 - 4y + 5

Therefore, the firm's marginal cost function is MC = 3y^2 - 4y + 5.

(c) Level of Output at which Average Variable Cost is Minimized:

To find the level of output at which the average variable cost (AVC) is minimized, we need to find the point where the derivative of AVC with respect to y equals zero.

AVC = -2y + 5

d/dy (AVC) = d/dy (-2y + 5) = -2

Setting the derivative equal to zero and solving for y:

-2 = 0

Since -2 is a constant, there is no level of output at which the average variable cost is minimized.

Therefore, the average variable cost does not have a minimum point in this case.

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Answer:

There are 24000 seats in section A,  14200 in section B  and  9800 in section C.

Step-by-step explanation:

There are 24000 sears in section A,  14200 in section B  and  9800 in section C.