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Find the area of the following
parallelogram:
5 cm
8 cm
7.5 cm
A= [?] cm?
Enter the exact answer as a decimal.

In order to find the nearest value of x in order to have y = 1000, let's use this y-value in the equation, then we solve for x:

So the nearest integer is 996.

Answer:

Step-by-step explanation:

Calculating the exact sea level rise resulting from all the melted ice flowing into Earth's oceans requires precise measurements and data that are subject to numerous variables. However, we can provide a rough estimate based on some general assumptions.

According to the National Snow and Ice Data Center (NSIDC), the total volume of ice on Earth is estimated to be approximately 24 million cubic kilometers (km³). If all of this ice were to melt and flow into the oceans, it would contribute to a rise in sea level.

To convert the volume of ice into a rise in sea level, we need to consider the total surface area of the oceans. The approximate surface area of the Earth's oceans is about 361 million square kilometers (km²).

Using these figures, we can estimate the sea level rise as follows:

Sea Level Rise (km) = Volume of Ice (km³) / Surface Area of Oceans (km²)

Sea Level Rise (km) = 24,000,000 km³ / 361,000,000 km² ≈ 0.066 km ≈ 66 meters ≈ 216.5 feet

Therefore, if all the ice on Earth were to melt and flow into the oceans without changing the ocean basin, it could cause the sea level to rise by approximately 0.066 kilometers (66 meters) or 216.5 feet. However, please note that this is a rough estimate and does not account for factors such as thermal expansion of water or the complex dynamics of ice melting and oceanic response, which can affect sea level rise differently in various regions.

The dimensions of the rectangular garden to maximize the area is length = width = 75 meters.

Let l be the length and w be the width of the rectangular garden.

We need to find the dimensions of the rectangular garden of greatest area that can be fenced off (all four sides) with 300 meters of fencing.

The perimeter of the  rectangular garden = 300 meters

We know that the perimeter of the rectangle =2(length + width)

300 = 2(l + w)

l + w = 150               .......(1)

Now, the maximum area of a  rectangular garden is when Length  = width

So, for equation 1

l + l = 150

l = 75 meters

So, w = 75 meters

And the area of the rectangular garden = length * width

                                                               = 75 * 75

                                                               = 5625 m²

So the maximum area of the  rectangular garden is 5625 m²

Therefore, the dimensions of the garden to maximize the area is length = width = 75 meters and maximum area is  5625 m²

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Answer:

2.2

Step-by-step explanation:

(1.85 x 2) - 1.50

...............

Step-by-step explanation:

1. Answer is 2

2. Answer is -3

3. Answer is 4

Answer:

i) -5x + 3/2

ii) x = 11

iii) x + 9/2

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The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

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The solution to the equation sqrt 2-3x / sqrt 4x = 2 is x = -2/3.

To solve the equation, we must first clear the denominators and simplify the equation. We can do this by multiplying both sides by sqrt(4x) and then squaring both sides. This gives us:
sqrt 2-3x = 4sqrt x
2 - 6x + 9x² = 16x
9x² - 22x + 2 = 0
Using the quadratic formula, we can find that x = (-b ± sqrt(b² - 4ac)) / 2a. Plugging in a = 9, b = -22, and c = 2, we get:
x = (-(-22) ± sqrt((-22)² - 4(9)(2))) / 2(9)
x = (22 ± sqrt(352)) / 18
x = (22 ± 4sqrt22) / 18
Simplifying this expression, we get:
x = (11 ± 2sqrt22) / 9
Therefore, the solution to the equation is x = -2/3.
To solve the equation sqrt 2-3x / sqrt 4x = 2, we must clear the denominators and simplify the equation. This involves multiplying both sides by sqrt(4x) and then squaring both sides.

After simplifying, we end up with a quadratic equation. Using the quadratic formula, we can find that the solutions are x = (11 ± 2sqrt22) / 9.

However, we must check that these solutions do not result in a division by zero, as the original equation involves square roots. It turns out that the only valid solution is x = -2/3.

Therefore, this is the solution to the equation.

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The solution set of f(x) > 0 is x ∈ (-2, 8).

To find the solution set of f(x) > 0, we need to first determine the critical values of x where f(x) changes sign.

Let's start by finding the domain of the function:

x² - 6x - 16 ≠ 0

We can solve for x by using the quadratic formula:

x = [6 ± √(6² + 4(16))]/2 = [6 ± √52]/2 = 3 ± √13

So the domain of f(x) is (-∞, 3 - √13) U (3 + √13, ∞).

Now let's factor the numerator and denominator of f(x):

f(x) = (x + 10)/[(x - 8)(x + 2)]

The critical points occur where the numerator or denominator of f(x) changes sign.

The numerator changes sign at x = -10, and the denominator changes sign at x = -2 and x = 8.

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Answer:

15

Step-by-step explanation:

you would first have to put the numbers into this equation

180=(6x-8)+38+60

now you have to solve for x

180=(6x-8)+98

82=6x-8

100=6x

15=x

x=15

hope this helps! have a nice day :)

Answer:

its c

Step-by-step explanation:

because every angle in a acute triangle has to be less than 90 and the other two look bigger than angle x

Answer:

\(Q(-2,3) \longrightarrow Q'(-1/3, 1/2) \\ \\ R(-3,1) \longrightarrow R'(-1/2, 1/6) \\ \\ T(2,-1) \longrightarrow T'(1/3, -1/6) \\ \\ W(2,4) \longrightarrow W'(1/3, 2/3)\)

Step-by-step explanation:

For a dilation at the origin, multiply each of the coordinates by the scale factor.

\(Q(-2,3) \longrightarrow Q'(-1/3, 1/2) \\ \\ R(-3,1) \longrightarrow R'(-1/2, 1/6) \\ \\ T(2,-1) \longrightarrow T'(1/3, -1/6) \\ \\ W(2,4) \longrightarrow W'(1/3, 2/3)\)

Answer:

Is there a graph?

Step-by-step explanation:

Answer: Type I error

Step-by-step explanation:

A type 1 error is also referred to as the false positive and it is when a true null hypothesis is incorrectly rejected by the researcher.

On the other hand, type II error which is also refered to as the false-negative is when a null hypothesis which is false is failed to be rejected by the researcher but rather accepted.

Based on the information given in the question, since the data leads to the rejection of the null hypothesis such was later found out to be true, then a type I error has occured.

Answer:

The answer is 45 maybe ok

Answer:

155520 is the answer here is the rounding answer!

155,520.0

Step-by-step explanation:

Answer:

Step-by-step explanation:

The scouting troop can collect a maximum of **15 pounds of aluminum** and **20 pounds of paper** for a total weight of **35 pounds** ¹.

If the troop earns $2.50 per pound for aluminum and $0.50 for paper, the maximum profit they can make is:

```

(15 pounds of aluminum x $2.50 per pound) + (20 pounds of paper x $0.50 per pound) = $37.50 + $10 = $47.50

```

Therefore, the correct answer is **$45** ¹.

Answer:

Choice C: 5

Step-by-step explanation:

55 is a composite number. 55 = 1 x 55 or 5 x 11. Factors of 55: 1, 5, 11, 55. Prime factorization: 55 = 5 x 11 it should be 5 if 11 isn't an option to

The second table with x and y values (1, 2, 3, 4, 5) and (11, 13, 15, 17, 19) shows a positive correlation.

To determine which table shows a positive correlation, we need to examine the relationship between the values in the x and y columns. Positive correlation means that as the values in one column increase, the values in the other column also tend to increase.

Let's analyze each table:

Table 1:

x: 1, 2, 3, 4, 5

y: 15, 12, 14, 11, 18

In this table, as the values in the x column increase, the values in the y column are not consistently increasing or decreasing. For example, when x increases from 1 to 2, y decreases from 15 to 12. Therefore, this table does not show a positive correlation.

Table 2:

x: 1, 2, 3, 4, 5

y: 11, 13, 15, 17, 19

In this table, as the values in the x column increase, the values in the y column also consistently increase. For example, when x increases from 1 to 2, y increases from 11 to 13. This pattern continues for all the rows. Therefore, this table shows a positive correlation.

Table 3:

x: 1, 2, 3, 4, 5

y: 18, 16, 14, 12, 11

In this table, as the values in the x column increase, the values in the y column consistently decrease. For example, when x increases from 1 to 2, y decreases from 18 to 16. This pattern continues for all the rows. Therefore, this table does not show a positive correlation.

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Answer:

Below in bold.

Step-by-step explanation:

a. Distance = speed * time

d = st  

So substituting in the given values:

d = 20t  where t is the time it takes to travel from the hive to the flowerbed.

The total time that the bee is inflight = 13-11 = 2 minutes

= 120 seconds.

So for the return flight the time taken is (120-t) seconds.

So d = 16(120 - t).

and  we can find the distance  from the hive to flowerbed by solving the the 2 equations highlighted.

b,    d = 20t

      d = 16(120 - t).

As both right side expressions are equal to d we can write:

20t = 16(120 - t)

20t = 1920 - 16t

20t+ 16t  = 1920

t = 1920/36

  =  53.33  seconds.

So the distance from hive to flowerbed

=  53.33 * 20

= 1066.67 feet.

Answer:

12

Step-by-step explanation:

There are 6 sides of the polygon, therefore since each corner is "2m", 2 x 6 = 12 making it the whole area.

*12 is basically the same as 360 since it's a polygon*

Answer:

Hope this helps.

Step-by-step explanation:

Well y = 2x - 5 is an equation, a linear one.

Your question is mighty confusing, but I assume you may be asking to solve for x here:

y = 2x - 5

y + 5 = 2x

(y + 5)/2 = x

You also could be asking for the graph, for a clear image, go to desmos.

Hi!

y = 2x - 5 is a linear equation in slope - intercept form.

-5 is the y- intercept and 2 is the slope.

The two functions f and g such that h(x) = (fog) (x) , are f(x) = 7x + 5  and g(x) = √x  .

In the question ,

it is given that

the two functions f(x) and g(x) , form a composite function h(x) such that

h(x) = (f o g)(x) , and h(x) = √(7x + 5)

the composite function (f o g)(x) means f(g(x)) which means g(x) is within h(x) .

By this we get that

the function g(x) is (7x + 5)

and function f(x) is √x  .

Therefore , The two functions f and g such that h(x) = (fog) (x) , are f(x) = 7x + 5  and g(x) = √x  .

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Answer:

ii. the largest exterior angle ilike

The unit cost C depends on the number of engines made. If x engines are made, then the unit cost is given by the function:

C(x)=0.2x²+ 248x +21,748 is $12917, which is the minimum unit cost.

Unit cost, also known as the break-even point, is the lowest price at which a company must sell a product to avoid losses. For example, a product with a breakeven unit cost of $10 per unit must sell above that price. Revenues above this price constitute the company's profit.

The calculates the unit cost of production as the break-even point. This cost constitutes the base price that the company uses to determine its market price.

In general, a unit must sell for more than its unit cost to generate a profit. For example, a company manufactures 1,000 units of a product that costs $4 each and sells them for $5 each. The profit is $5 minus $4, or $1 per unit of income. If a unit is priced at $3 per unit, there is a loss because $3 minus $4 (cost) is a loss of $1 per unit.

By the definition of average cost, we know it is the ratio of the total cost to the number of manufactured products. The total cost here is also termed as unit cost, which is equal to the sum of fixed cost and variable cost.

Hence, Average cost = Total cost/Number of units

                                    =  (Fixed cost + Variable cost)/Number of units.

According to the Question:

The minimum unit cost is $12197.

Take the derivative and set = 0  solve for x

C'(x) = 2x -360 = 0

x = 180 engines

C(180)  = (180)² -360(180) + 44,597

           = 44,597 - 32400

           = $12,197  minimum cost.

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The value of 3¾ft in yards would be = 1 6/25 yard

A mixed number is the type of number that is made up of three parts such as the whole number, a numerator and a denominator.

To convert to yards;

1 ft = 0.33 yard

3¾ = X yards

make x yards the subject of formula;

X yards = 3¾ × 0.33

X yards = 3.75×0.33

X yards = 1.24 yards

X yards in mixed number= 124/100 = 31/25 = 1 6/25 yard.

Note that the final value which is 124/100 is reduce to the lower figure by dividing through with 4 to arrive at the mixed number 1⁶/25

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7 x 5 + (3 x 5)      First do the parenthesis

7 x 5 + 15             Next do multiplication (left to right)

35 + 15              Last add the two remaining numbers

50

Answer : 50

Answer:

24

Step-by-step explanation:

the rate of change is represented by the 24,  just like in the slope-intercept equation  y = mx + b, where "m" represents the slope, or rate of change.  

The solution is, f(x) = 7 is a even function.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

Solution:

Given that we have to find the even function

A function is even if and only if f(–x) = f(x)

Steps to follow:

Replace x with -x and compare the result to f(x).

If f(-x) = f(x), the function is even.

If f(-x) = - f(x), the function is odd.

If f(-x) ≠ f(x) and f(-x) ≠ -f(x), the function is neither even nor odd.

now,

Option 4

f(x) = 7

f(-x) = 7

Thus f(-x) = f(x)

Thus it is a even function.

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Answer:

Increasing and an asympote

Step-by-step explanation:

Answer:

Increasing and asympote

Step-by-step explanation:

i got right

Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952