The width of a school playground is 2\times 10^(3) meters and the length is 6\times 10^(4) meters. If the playground is rectangular in shape, the area of the playground using scientific notation is____ square meters. a.12\times 10^(10) b.12\times 10^(9) c.1.2\times 10^(8) d./1.2\times 10^(10)

The value of b is 2.

Since the hanger diagram models the equation 2b = 4, we can see that the bar representing 2b has a length of 4 units.

To find the value of b, we need to divide both sides of the equation by 2. This gives us:

2b/2 = 4/2

b = 2

Therefore, the value of b is 2.

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The measure of AC is 112° (option c).

1. We are given a diagram with a circle O and two tangents, AB and BC, intersecting at point B.

2. According to the properties of tangents, when a tangent line intersects a radius, it forms a right angle.

3. Therefore, angle AOB is a right angle because AB is tangent to circle O.

4. Similarly, angle BOC is also a right angle because BC is tangent to circle O.

5. Since the sum of angles in a triangle is 180°, we can find angle ABC by subtracting the measures of angles AOB and BOC from 180°.

  - Angle ABC = 180° - (90° + 90°) = 180° - 180° = 0°

6. However, an angle of 0° is not possible in a triangle, so we need to consider the exterior angle at point B, angle ACD.

7. The measure of the exterior angle is equal to the sum of the measures of the two interior angles of the triangle that it is outside.

  - Angle ACD = angle ABC + angle BAC = 0° + 68° = 68°

8. Finally, the measure of AC is the supplement of angle ACD, as it is the adjacent interior angle.

  - Measure of AC = 180° - 68° = 112°.

Therefore, the measure of AC is 112°.

Thus, the correct option is c.

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Answer:

Step-by-step explanation:

Given function:

The graph is attached

The value of the function when x = 1/2 is:

This is reflected on the graph as well

f(x)=8+4x

f(1/2)

Graph attached

Answer:

6 people

Step-by-step explanation:

2 1/4 = 9/4 = 18/8

She gave 3/8 of a bag to each of the people => she gave 18/8 : 3/8 = 6 people

So, there are 6 people that live on Janet's block (maybe 7 if count Janet herself)

Answer:

6

Step-by-step explanation:

2.25 divided by 3/8 (0.375)

To double check multiply 3/8 by 6 and you'll get 2.25 (2 1/4).

The correct answer is: Job A pays $5.25 more per hour than Job B. To compare the hourly rates of Job A and Job B, need to determine which job pays more per hour and by how much based on given information.

Given Information: Job A pays $5.25 more per hour than Job B.

Let's assume the hourly rate of Job B is represented by x dollars per hour.

According to the given information, the hourly rate of Job A would be x + $5.25.

To determine which job offers a higher rate per hour, we need to compare the hourly rates of Job A and Job B.

Comparing the rates, we find that Job A pays $5.25 more per hour than Job B.

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The least expensive rectangular storage container without a lid, with a volume of 10 cubic meters, has a length three times its width.  The total cost of the least expensive box is $750.  

Let's assume the width of the rectangular container is x meters. According to the given information, the length of the base is three times the width, so the length is 3x meters. The height of the box can be determined by dividing the volume by the area of the base, giving us a height of 10/(3x^2) meters.  

The cost of the base can be calculated by multiplying the area of the base (3x * x = 3x^2) by the cost per square meter ($20). Therefore, the cost of the base is 3x^2 * $20 = $60x^2.

The cost of the sides can be calculated by finding the area of the four sides (2 * 3x * 10/(3x^2) + 2 * x * 10/(3x^2)), which simplifies to 20/x. Multiplying this by the cost per square meter ($10) gives us a cost of $200/x.

To find the total cost, we sum the cost of the base and the cost of the sides: $60x^2 + $200/x. To minimize the cost, we can take the derivative with respect to x, set it equal to zero, and solve for x. The result is x = √(100/3). Substituting this value back into the cost equation, we find the minimum cost is approximately $750.

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Answer: ion know i'm guessing 4

Step-by-step explanation: because it shows 8 at the top, so since it's full and it's 4,000 then that'll basically make 8 the 4000, so since 4 is half of 8 then we prolly have our answer right there

Answer: It would be 20

Step-by-step explanation: The formula for height would be h= v/pi r squared, just plug in the numbers

wdym “What are the values of each Halloween icon”?

Answer:

65

Step-by-step explanation

Just did it on egde

Answer:

$0.33 per ball

Step-by-step explanation:

haha we meet again.

Divide 1.33 by 4

1.33/4=0.3325

Round to the nearest tenth

0.33

Answer:

3rd option

Step-by-step explanation:

A porportional relationship can be described by

\(y = kx\)

where x is the number of days, y is the amounts of food and k is the constant rate. (for this instance)

Looking at Classrom B, the amounts of food and cinstant rate isn't porpotional. Soxthat eliminates B and D.

For the 3rd option, the food amount is porportional as x increases. The unit rate here is 1,9 so the correct option is the 3rd option.

Answer:

16pi cm^2, 112pi cm^3, 351.68 cm^3

Step-by-step explanation:

Given: Height=7cm, radius=4cm

1. The base is a circle and Area of circle = pi * r^2

Plug in the radius to get --> A = pi * (4cm)^2 = 16*pi cm^2

2. This is asking for the volume of the cylinder.

Volume of cylinder is V=h*pi*r^2 --> 7cm * pi * (4cm)^2 = 112 pi cm^3

3. Just plug 3.14 into pi --> 112 * pi cm^3 = 351.68 cm^3

b. 6¹⁰ / 7⁶

(6⁵/7³)²

6 × 6 × 6 × 6 × 6 = 7776

7 × 7 × 7 = 343

(7776/343)²

7776²/343²

7776 × 7776 = 60.466.176

343 × 343 = 117.649

6¹⁰/7⁶

6 × 6 × 6 × 6 × 6 × 6 × 6 × 6 × 6 × 6 = 60.466.176

7 × 7 × 7 × 7 × 7 × 7 = 117.649

6¹⁰ = 7776²

7⁶ = 343²

= b. 6¹⁰ / 7⁶

Answer:

x/6   = 3/2

Step-by-step explanation:

Simplifying the equation of v 4. 4 ( v - 16. 8 ) - -2. 3 = 3. 62, we find that v = 21.45.

To solve for v, we will use the following steps:

Simplify the left-hand side of the equation by distributing the 4.4:

4.4v - 73.92 + 2.3 = 3.62

Simplify further by combining like terms:

4.4v - 71.62 = 0

Add 71.62 to both sides of the equation:

4.4v = 71.62

Solve for v by dividing both sides by 4.4:

v = 71.62 / 4.4

v = 16.27727...

Round the answer to two decimal places:

v = 21.45

Therefore, the solution to the equation 4.4(v - 16.8) - (-2.3) = 3.62 is v = 21.45.

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Answer:

x=35

Step-by-step explanation:

So the line XYZ is 180. The angles together should equal 180 in total.

The equation would be (2x-5) + (3x+10) = 180.

2x-5+3x+10=180

You want to combine like terms.

2x+3x and -5+10

5x+5=180

subtract 5 from both sides. Need variable alone.

5x+5(-5)=180(-5)

5-5 is 0 and 180-5 is 175

5x=175

Divide by 5 on both sides.

5x/5=175/5

x=35

Answer:

x=35

Step-by-step explanation:

Angles on a straight line=180

therefore,(2x-5)+(3x+10)=180

2x-5+3x+10=180

collecting like terms we have,

2x+3x-5+10=180

5x+5=180

subtract 5 from both sides

5x+5-5=180-5

5x=175

divide both sides by coefficient of x

5x/5=175/5

x=35

Answer:

half apart

Step-by-step explanation:

hope it help you

Answer:

Option (B)

Step-by-step explanation:

From the graph attached,

x-intercepts of the graphed function are,

x = -3 and x = 4

Therefore, zero factors of the function will be,

(x + 3) and (x - 4)

So the quadratic function given in the graph will be in the form of,

f(x) = (x + 3)(x - 4)

Option (B) will be the correct option.

The absolute value of the number plotted on the number line is 1.25

Answer: A) No, because it has a constant rate of change

=============================================================

Explanation:

Each time x goes up by 1, y drops by 2.

This means,

slope = rise/run

slope = (change in y)/(change in x)

slope = (y drops by 2)/(x goes up by 1)

slope = -2/1

slope = -2

-----------

We can pick two points from the table to plug into the slope formula. I'll pick the first two rows

m = slope

m = (y2-y1)/(x2-x1)

m = (2-4)/(7-6)

m = -2/1

m = -2

If you tried every pair of rows possible for this table, you'll get the same slope each time. This is why the rate of change is constant.

This means the data is linear instead of nonlinear. Plotting the points leads to a single straight line going through all four points. See the diagram below. The graph was made with GeoGebra.

The equation of that red line is y = -2x+16 which is equivalent to 2x+y = 16.

In the graph, going from A to B has us go down 2 and to the right 1, which is one visual way of seeing the slope is -2/1 = -2.

The order of T is 82.

Let n and e be the order and number of edges of T respectively.

Also, let a, b, c and d be the number of vertices of degree 2, 3, 4 and 5 respectively.

Then, 50+a+b+c+d = n

And by the Handshake Lemma,  the sum of the degrees of all the vertices of T is twice the number of edges, so we have

50+2a+3b+4c+5d = 2e

Since a=b=c=d then we have the following two equations,

50+4a = n

50+14a = 2e

But, T is a tree so e=n=1, then the two equations become,

50+4a = n ...............(1)

50+14a = 2(n-1) .............(2)

Solving for a in (1) we get,

a = \(\frac{n-50}{4}\)

Plugging a into (2) we get,

50+14(\(\frac{n-50}{4}\)) = 2(n-1)

50+3.5n-175 = 2n-2

3.5n-2n = 175-50-2

1.5n = 123

n = \(\frac{123}{1.5}\) = 82

Therefore, the order of T is 82.

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Answer:

The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.

So, the answer would be option A: {-2, 3, 1, 5}

Step-by-step explanation:

brainliest Plsssss

Diego, this is the solution:

We have the following function:

g (x) = 4x - 7

In consequence,

g (3) = 4 * 3 - 7

g (3) = 12 - 7

g (3) = 5

Question 1: The item not included in the cost of merchandise inventory is "Purchase discounts."

2: The total cost of the merchandise is $3,332.00.

5: The company's gross margin and operating expenses, are $211,000 and $191,720.

Merchandise inventory expenses normally consist of the price paid for the inventory, deductions from the purchase price resulting from purchase returns and allowances, and freight expenses paid by the purchaser.

Although purchase discounts reduce the cost of merchandise inventory, they are not considered part of it. Instead, they are treated as a distinct discount in the accounting records.

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To calculate the double integral ∬R​g(x,y)dydx, we first need to evaluate the integral in the given region R=[0,1]×[0,1]. Using rectangular coordinates, we can express the double integral as \(∬R​g(x,y)dydx = ∫[0,1] ∫[0,1] g(x,y) dy dx\).

Now, let's plug in the expression for g(x,y) into the integral:

\(∫[0,1] ∫[0,1] (x^2 + y^2)/(2xy) dy dx.\) To evaluate this integral, we can integrate with respect to y first, then with respect to x.
\(∫[0,1] [(1/2)x^2y + (1/6)y^3] [y=0 to 1] dx.\) Simplifying this expression, we have: ∫[0,1] [(1/2)x^2 + (1/6)] dx.Now we integrate with respect to x:

\([(1/6)x^3 + (1/2)x] [x=0 to 1].\)
Evaluating this expression, we get:

\([(1/6)(1)^3 + (1/2)(1)] - [(1/6)(0)^3 + (1/2)(0)].\)
Simplifying further, we obtain:

(1/6) + (1/2) - 0.

Combining the terms, we find that the numerical value of the double integral ∬R​g(x,y)dydx is 4/6 or 2/3.

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The numerical value of the double integral ∬R​G(x,y)dydx is 1/4. The double integral of g(x,y) over the region R=[0,1]×[0,1] does not exist.

To calculate the double integral, we need to integrate the given function g(x,y) over the region R=[0,1]×[0,1]. Let's break down the integral into two parts: the inner integral and the outer integral.The inner integral represents the integration with respect to y, and the outer integral represents the integration with respect to x.For the inner integral, we integrate g(x,y) with respect to y while keeping x constant. Since g(x,y) is a function of x and y, we need to evaluate the integral using the limits of y. The limits of y are determined by the region R=[0,1]×[0,1]. In this case, the limits for y are from 0 to 1.

Now, let's evaluate the inner integral:
∫[0,1] g(x,y)dy = ∫[0,1] (x^2+y^2)/(2xy) dy.

To integrate this, we can split the fraction into two separate fractions:
∫[0,1] x^2/(2xy) dy + ∫[0,1] y^2/(2xy) dy.

Simplifying these integrals, we get:
(1/2)∫[0,1] (x/y) dy + (1/2)∫[0,1] (y/x) dy.

Now, let's integrate each term separately:
(1/2)∫[0,1] (x/y) dy = (1/2) [xln|y|] from 0 to 1 = (1/2)(xln|1| - xln|0|) = 0.

(1/2)∫[0,1] (y/x) dy = (1/2) [yln|x|] from 0 to 1 = (1/2)(ln|x| - ln|0|) = ∞ (diverges).

As we can see, the second term diverges. This means that the inner integral does not exist. Since the inner integral does not exist, the double integral does not exist either.

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Pn(Z>zp)=1−p%

Given a variable X following a normal distribution with mean μ and standard deviation σ, the area below the curve that corresponds to all values that are less than a that is, X<a

is the probability P(X<a). This probability is usually calculated by converting the variable X to a standard normal variable Z (forming z scores) defined by:

\(z=\frac{x-\mu}{\sigma}\)

The variable Z follows the standard normal distribution with a mean of 0 and a standard deviation of 1.

The standard normal probabilities are typically found by using the standard normal tables or other computational means such as calculators or software.

Pn(Z>zp)=1−p%

Here Pn is the probability for the standard normal variable.

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The given expression is

Replacing the given values, we have

Exact numbers have an unlimited number of significant figures and is therefore denoted as option D.

These are the numbers which are used in counting and defining other quantities which are assumed to be exact and usually have no remainders and they have an infinite number of significant figures.

An example is number “3” is exact as well and could be expressed as 3.0000000000000. This means that the number of significant figures can be unlimited because any amount of figures can be placed after the number which is therefore the reason why it was chosen as the correct choice.

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