how long would it take to travel 425 m at the rate of 50 m/s? responses 8.5 s 8.5 s 375 s 375 s 475 s 475 s 21,250 s

Answer:

1 1/2

Step-by-step explanation:

Answer:

1900

Step-by-step explanation:

20 x 43 = 860

80 x 13 = 1040

860 + 1040 = 1900

Answer:

1900

Step-by-step explanation:

just multiply the ticket price to the people

Answer:

D

Step-by-step explanation:

Firstly, to answer this question, we need to calculate the change in elevation.

Let’s just think of the question as, the distance from the foot of the mountain to the top is 4,418 meters. Now we have climbers starting at a height of 2,550 meters. We now need to know the difference or the distance to which they have climbed.

To calculate this is quite straightforward, all we need do is to subtract the starting point from the end position.

Mathematically that would be 4,418 - 2,550 = 1,868 meters

Now our answer need be in foot. we have a conversion system given in the question already.

1 foot = 0.3048 meters

x foot = 1,868 meters

x = 1,868/0.3048

x = 6,128.6 feet which is approximately 6,129 feet

Answer:

6 feet per hour

Step-by-step explanation:

36 / 6 = 6

Let us designate the box's width as x inches. According to the information provided, the length is three inches longer than the width, hence the length is (x + 3) inches. The height is specified as ten inches.

We multiply the length, width, and height of the box to determine its volume. So far, we have:

540 = (x + 3) x 10 Volume = Length Width Height

Extending this equation yields:

540 = 10x^2 + 30x

The equation is now rearranged to become a quadratic equation:

10x^2 + 30x - 540 = 0

This equation may be simplified by dividing all of the terms by ten:

x^2 + 3x - 54 = 0

We may get the potential values for x by factoring or using the quadratic formula. Because width cannot be negative, we eliminate -9, leaving us with the box's width of 6 inches.

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Answer:

$112.80

Step-by-step explanation:

If he earns $0.235 per pack, and there are 480 packs, then our equation is:

0.235 x 480 = $112.80

The amount of money earned by Eddie for packing and sealing packs of 480 pens is $112.8

The method in which first we find the value of one unit and then the value of the required number of units is known as the Unitary Method.

According to the given question.

Amount of money charged by Eddie for packing and sealing a pack of pens = $0.235

Therefore,

The amount of money charged by Eddie for packing and sealing packs of 480 pens

= 480 × $0.235

= $112.8

Hence, the amount of money earned by Eddie for packing and sealing packs of 480 pens is $112.8

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The percent increase is 50%.

The percentage increase in a quantity is the rate of difference in the old and new value to the old value, express in percentage.

i.e percentage increase = (old value - new value)/ old value

If the new quantity were be have decreased, then the percentage decrease can also be determined.

Considering the given question, the percentage increase can be determined by;

old quantity = 8

new quantity = 4

So that,

percentage increase = (old value - new value)/ old value

                                   = (8 - 4)/ 8 *100%

                                   = 4/ 8 * 100%

percentage increase = 50%

The percent increase is 50%.

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Answer:

100%

Step-by-step explanation:

There are 8 equally probable outcomes on the spinner, numbered from 1 to 8. Of these, the even numbers are 2, 4, 6, and there are 6 numbers less than 7, namely 1, 2, 3, 4, 5, 6.

To find the probability of the pointer stopping on an even number or a number less than 7, we need to add the probabilities of these two events occurring and subtract the probability of both events occurring at the same time, since this would lead to double counting:

P(even or less than 7) = P(even) + P(less than 7) - P(even and less than 7)

P(even) = 3/8, since there are 3 even numbers on the spinner out of 8 total outcomes.

P(less than 7) = 6/8, since there are 6 numbers less than 7 on the spinner out of 8 total outcomes.

P(even and less than 7) = 1/8, since only 4 satisfies both conditions (even and less than 7) out of 8 total outcomes.

Therefore, substituting these values, we get:

P(even or less than 7) = 3/8 + 6/8 - 1/8

P(even or less than 7) = 8/8 = 1

So the probability that the pointer will stop on an even number or a number less than 7 is 1 or 100%.

Hope this helps!

Answer:

(x-2)(x+2)

Step-by-step explanation:

use the difference of squares

x²-4 = x²-2² = (x-2)(x+2)

Answer:

B: 9 outcomes

Step-by-step explanation:

you have 3 possibilites in the left pocket, and 3 in the right. Multiply the number of possibilites in each pocket to find how many total possibilites there are.

Answer:

im pretty sure its a,e and i,d

Step-by-step explanation:

The expression that fails to compute the area of a triangle correctly is option b: (1 / 2) * b * h.

The correct formula to compute the area of a triangle is one-half times the base multiplied by the height, which can be written as (1/2) * b * h. Option a, c, and d correctly represent this formula. However, option b is incorrect because it uses integer division instead of decimal division.

In option b, (1 / 2) is computed using integer division, which results in truncating the decimal part. Therefore, (1 / 2) evaluates to 0 instead of 0.5. As a result, the expression (1 / 2) * b * h would yield incorrect and significantly smaller results than the actual area of the triangle.

To accurately calculate the area of a triangle using this formula, it is essential to use decimal division or explicitly represent the fraction as a decimal. Options a, c, and d correctly account for this by using either 1.0/2.0 or 0.5, ensuring the proper calculation of the area.

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Answer:

6.3 ft

Step-by-step explanation:

To find:-

Answer:-

We are here given that 40ft tree casts a shadow of 12foot . We are interested in finding out the height of the shadow casted by a 21ft tree .

Here we can use Unitary Method to find out the height of the shadow as ,

A 40ft tree casts a shadow of 12ft .

A 1ft tree would cast a shadow of 12/40ft .

A 21 ft tree would cast a shadow of 12/40*21 = 6.3 ft

Hence the height of shadow casted by a 21ft tree is 6.3ft .

Answer:

15 square feet

Step-by-step explanation:

after reversing the order of integration, the integral ∫∫[R] 13e²(2x) dx dy evaluates to (117/2)e²6 - (39/4).

To evaluate the integral ∫∫[R] 13e²(2x) dx dy, where R is the region defined by 0 ≤ x ≤ 3 and 0 ≤ y ≤ 3x, we can reverse the order of integration.

The original integral can be rewritten as:

∫[0 to 3] ∫[0 to 3x] 13e²(2x) dy dx

Now we will reverse the order of integration:

∫[0 to 3] ∫[0 to 3x] 13e²(2x) dy dx

The inner integral with respect to y becomes:

∫[0 to 3] [13e²(2x) × y] evaluated from 0 to 3x dx

Simplifying the inner integral:

∫[0 to 3] 13e²(2x) × (3x - 0) dx

∫[0 to 3] 39xe²(2x) dx

To evaluate this integral, we can use integration by parts. Let u = x and dv = 39e²(2x) dx.

Differentiating u with respect to x gives du = dx and integrating dv gives v = (39/2)e²(2x).

Using the formula for integration by parts:

∫ u dv = uv - ∫ v du

we can rewrite the integral:

∫[0 to 3] 39xe²(2x) dx = [(39/2)x × e²(2x)] evaluated from 0 to 3 - ∫[0 to 3] (39/2)e²(2x) dx

Evaluating the limits of the first term:

[(39/2)(3) × e²(2(3))] - [(39/2)(0) × e²(2(0))] - ∫[0 to 3] (39/2)e²(2x) dx

Simplifying:

(117/2)e²6 - 0 - ∫[0 to 3] (39/2)e²(2x) dx

Now we evaluate the remaining integral:

∫[0 to 3] (39/2)e²(2x) dx = [(39/4)e²(2x)] evaluated from 0 to 3

[(39/4)e²(2(3))] - [(39/4)e²(2(0))]

Simplifying:

(39/4)e²6 - (39/4)

Therefore, after reversing the order of integration, the integral ∫∫[R] 13e²(2x) dx dy evaluates to (117/2)e²6 - (39/4).

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Answer:

I'm so confused, what are you trying to say? lol

When one grain of sand weighs 7×10⁻⁵ g, then there are 9.0 × 10¹⁰ grains of sand in 6300 kg of sand.

Given, one grain of sand approximately weighs 7×10⁻⁵ g.

Then how many grains of sand are there in 6300 kg of sand = ?

we know that one grain of sand weighs =  7×10⁻⁵ g.

therefore, 6300 kg = 6300 × 10³ g sand contains

= 6300 × 10³/7×10⁻⁵

= 900×10³/10⁻⁵

= 900 × 10³ × 10⁵

= 9.00 × 10² × 10³ ×10⁵

= 9.0 × 10²⁺³⁺⁵

= 9.0 × 10¹⁰

Hence there are 9.0 × 10¹⁰ grains of sand in 6300 kg of sand.

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It will take 12 seconds until Hudson and Knox have run the same number of feet.

Let's denote the time it takes until Hudson and Knox have run the same number of feet as "t" (in seconds).

The distance Hudson runs can be calculated by multiplying his speed (8.8 feet/second) by the time "t". Thus, the distance Hudson covers is 8.8t feet.

Knox, on the other hand, had a head start of 30 feet. So the distance Knox covers can be calculated by multiplying his speed (6.3 feet/second) by the time "t" and adding the head start of 30 feet. Thus, the distance Knox covers is 6.3t + 30 feet.

To find the time when both runners have covered the same distance, we set their distances equal to each other:

8.8t = 6.3t + 30

Simplifying the equation:

2.5t = 30

Dividing both sides by 2.5:

t = 30 / 2.5

t = 12

Therefore, it will take 12 seconds until Hudson and Knox have run the same number of feet.

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Answer:

A' (5.5, 4.5)

B' (8.5, 4.5)

C' (8.5, 1.5)

D' (5.5, 1.5)

A'' (1, 9)

B'' (13, 9)

C'' (13, -3)

D'' (1, -3)

Step-by-step explanation:

The vertices of the quadrilateral ABCD in the given diagram are:

The sides of quadrilateral ABCD are congruent, therefore quadrilateral ABCD is a square.

The x-coordinate of the center P is halfway between the x-coordinates of A and B, and the y-coordinate of the center P is halfway between the y-coordinates of A and D.  Therefore, the center of ABCD is:

To dilate an image when the center of dilation is not the origin, observe the horizontal and vertical distances of each vertex from the center of dilation.

From inspection of the diagram:

Under a scale factor of 1/2, points A', B', C' and D' need to be half as far away from the center as A, B, C and D:

⇒ 3 × 1/2 = 1.5

Therefore:

So the vertices of A'B'C'D' are:

Similarly, under a scale factor of 2, points A'', B'', C'' and D'' need to be twice as far away from the center as A, B, C and D:

⇒ 3 × 2 = 6

Therefore:

So the vertices of A''B''C''D'' are:

Answer:

2x+3y+1

Step-by-step explanation:

Let's simplify step-by-step.

−2x−6y+3+4x−2+9y

=−2x+−6y+3+4x+−2+9y

Combine Like Terms:

=−2x+−6y+3+4x+−2+9y

=(−2x+4x)+(−6y+9y)+(3+−2)

=2x+3y+1

I think ur question is erorr.

hope it hepls u a lot

There are approximately 5 chocolate drinks in a pack.

To determine the number of chocolate drinks in a pack, we need to find the volume of each cylindrical can and then divide the total volume of the pack by the volume of each can.

The volume of a cylinder can be calculated using the formula V = πr²h, where V is the volume, π is approximately 3.14, r is the radius of the base, and h is the height of the cylinder.

Given that the height of the can is 4 inches and the diameter is 3 inches, we can calculate the radius as half of the diameter, which is 3/2 = 1.5 inches.

Plugging these values into the formula, we have:

V = 3.14 * (1.5)² * 4

V = 3.14 * 2.25 * 4

V = 28.26 cubic inches

Now we can calculate the number of chocolate drinks in a pack by dividing the total volume of the pack (141.3 cubic inches) by the volume of each can (28.26 cubic inches):

Number of chocolate drinks = 141.3 / 28.26

Number of chocolate drinks ≈ 5

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The population of birds to increase by 50% in 31.25 years.

The differential equation for the population of birds is:

dp/dt = 0.016P

where P is the population of birds and t is time in years.

To obtain the time it takes for the population to increase by 50%, we need to solve for t when P increases by 50%.

Let P0 be the initial population of birds, and P1 be the population after the increase of 50%.

Then we have:

P1 = 1.5P0 (since P increases by 50%)

We can solve for t by integrating the differential equation:

dp/P = 0.016 dt

Integrating both sides, we get:

ln(P) = 0.016t + C

where C is the constant of integration.

To obtain the value of C, we can use the initial condition that the population at t=0 is P0:

ln(P0) = C

Substituting this into the previous equation, we get:

ln(P) = 0.016t + ln(P0)

Taking the exponential of both sides, we get

:P = P0 * e^(0.016t)

Now we can substitute P1 = 1.5P0 and solve for t:

1.5P0 = P0 * e^(0.016t

Dividing both sides by P0, we get:

1.5 = e^(0.016t)

Taking the natural logarithm of both sides, we get:

ln(1.5) = 0.016t

Solving for t, we get:

t = ln(1.5)/0.016

Using a calculator, we get:

t ≈ 31.25 years

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Answer:

0.339

Step-by-step explanation:

Given that :

Total number of songs = 12

Number of songs to choose = 8

Total number of draws = 8

Selecting 2 of the 4 songs with syprano solos : 4C2

The 6 remaining songs from. The rest:

12-4C8-2 = 8C6

Total possible selections = 12C8

Hence,

probability that the set s/he chooses contains two of the four songs that have soprano solos will be :

(4C2 * 8C6) / 12C8

(6 * 28) / 495

168 / 495

= 0.339

Answer:927652832

Step-by-step explanation:

using long multiplication step by step multiply.

Answer:

Deductive Reasoning.

Step-by-step explanation:

Basically it’s logical thinking in simply terms.

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Answer:

9.7 in²

Step-by-step explanation:

We Know

A baseball has a radius of 1.75 inches.

How much material is needed to cover the baseball?

They basically ask us to find the area of the circle.

Area of circle =  r² · π

r = 1.75 inches

π = 3.14

We Take

1.75² · 3.14 = 9.61625 in²

So, you need about 9.7 in² material to cover the baseball.

The probability of of a random student having blue eyes and dark hair

 is 35% .

let consider the total students in the school be (U) = 100%

out of them ,

students having blue eyes (A) = 60%

students having  dark hair (B) = 55%

students with neither blue eyes nor dark hair (A∪B)' = 20%

let the students with blue eyes and dark hair be (A∩B) = x %

Then according to the set theorem

U = n(A∪B) + n(A∪B)'

U = n(A) + n(B) - n(A∩B) + n(A∪B)'

100 = 60 + 55 - x +20

∴ x = 60 + 55 +20 - 100

x = 35 %

So the probability of random student having blue eyes and dark hair is 35% .

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