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3 years ago

Last year, 1.25 million people visited an attraction park.

Mathematics

2 answers:

irga5000 [103]3 years ago

8 0

Answer:

The answer is 1,225,000

Step-by-step explanation:

2% of 1,250,000 = 25,000

= 1,250,000 - 25,000

= 1,225,000

GuDViN [60]3 years ago

3 0

30,000 people and that is my answer

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The least common denominator of 1/3, 5/8, and 1/2 is:

andrey2020 [161]

Answer: 24

Step-by-step explanation:

You need to find the common denominator. In the case 24 is the least one because when you multiply 3 by 8, you finally have a common denominator for all three.

If you found this answer helpful, give it a five-star rating and a thanks! It would really mean a lot!

8 0

3 years ago

Natalie consumes only apples and tomatoes. Her utility function is U(x, y) = x 2y 8 , where x is the number of apples consumed a

Kamila [148]

Answer:

16 apples.

Step-by-step explanation:

$U(x, y) = x^2y^8$

$MU_x =\frac{\partial U}{\partial x} = 2xy^8\\MU_y = \frac{\partial U}{\partial x} = 8x^2y^7\\$

Price of apples, Px=$4

Price of tomatoes, Py=$3

Ratio of their Marginal Utilities

$\frac{MU_x}{MU_y} = \frac{Px}{Py}$

$\frac{y}{4x} = \frac{4}{3}$

$y=\frac{16x}{3}$

Since Natalie’s income is $320

320 = xPx+yPy

$320=4x + 3*\frac{16x}{3} \\320= 4x+16x = 20x\\x=\frac{320}{20} = 16\\Also\\y=\frac{16x}{3}=\frac{16X16}{3}=\$85.33$

Since x=16, Natalie will consume 16 apples.

6 0

3 years ago

Which conditional statement has a false converse?

exis [7]

Consider the converses:

a) If two planes have no points in common, then they are parallel. (true)

b) If a point lies on the y-axis, then it has x-coordinate 0. (true)

c) If two angles have the same measure, then they are congruent. (true)

d) If a figure has four sides, then it is a square. (FALSE) (A figure with 4 sides may not even be a plane figure.)

8 0

3 years ago

Please help!!!! I don’t get this

Stella [2.4K]

The trig function sine, often abbreviated as "sin" (pronounced the same way as "sine"), is essentially the ratio or fraction of the opposite side and the hypotenuse. See the attached image for a reference.

The leg opposite angle B is side AC. Note how B is not present in the sequence "AC". Visually, we are as far away as possible from point B. This side is 16 units long. So AC = 16

The hypotenuse is the longest side of the right triangle. Always always always. This longest side is opposite the largest angle (90 degrees). Therefore the hypotenuse is BC = 17.46

In summary so far, we have,
opposite side = AC = 16
hypotenuse BC = 17.46

Let's use those values to compute sin(B)

sin(Angle) = opposite/hypotenuse
sin(B) = AC/BC
sin(B) = 16/17.46
sin(B) = 0.916 (this is approximate)
sin(B) = 0.92 (rounding to nearest hundredth)

This points to the final answer of choice A) 0.92

--------------------------------

Edit: Sorry nearly forgot about the reference image. I attached it just now.

4 0

3 years ago

The graph shows the numbers of quarts of yellow

allsm [11]

Answer:

Step-by-step explanation:

The given graph is a straight line graph. The y axis represents the number of quarts of yellow paint that is mixed. The x axis represents the number of quarts of red paint that is mixed. We would write the required equation in the slope intercept form. The slope intercept form equation of a straight line is expressed as

y = mx + c

Where

m represents slope

c represents y intercept.

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

Slope = (2 - 1)/(5 - 2.5) = 1/2.5

Slope = 0.4

The straight line cuts the y axis at y = 0

It means that c = 0

Therefore, the equation is

y = 0.4x

4 0

3 years ago