a ball is thrown upward in the air, and its height above the ground after seconds is feet. find the time when the ball will be traveling downward at feet per second. give your answer as a decimal approximation with at least 3 decimal places.

Therefore, 10/12 cups of fruit are required for the dish, which can be expressed as 5/6 cups.

An element of a whole is a portion. The number is represented mathematically as a fraction, where the numerator and denominator are split. Both are numbers in a straightforward fraction. A fraction appears in the sum or base of a complicated fraction. The numerator of a perfect proportion is smaller than the denominator.

Based on the given conditions, formulate: [tex]\frac{2}{4} +\frac{1}{3}[/tex]

Cross out the common factor: [tex]\frac{1}{2}+\frac{1}{3}[/tex]

Rewrite fractions using the Least Common Denominator: [tex]\frac{3+2}{6}[/tex]

Calculate the sum or difference: [tex]\frac{5}{6}[/tex]

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Answer: 584.6

Step-by-step explanation: I just took the test

If 2 more than 3 lots of a number is equivalent to 8 lots of the number, then the number is 2/5

Let's call the unknown number "x".

According to the problem statement, "2 more than 3 lots of a number" can be written as:

3x + 2

And "8 lots of the number" can be written as:

8x

The problem states that these two expressions are equivalent, so we can set them equal to each other

The equation will be

3x + 2 = 8x

Now we can solve for x:

3x + 2 = 8x

Move 8x to left hand side of the equation

-5x = -2

x = 2/5

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Answer:

Step-by-step explanation:

Greetings!!

Vertical angles are angles that are opposite of each other when two lines cross. Vertical angles are. congruent, meaning that they have the same angle measure. For example, angle 1 and angle 3 are vertical angles.

Also look at the image attached above

Hope it helps!!!!

From the given information, total surplus in a market is equal to the sum of consumer surplus and producer surplus.

Consumer surplus is the difference between the highest price a consumer is willing to pay for a good or service (the "reservation price") and the actual price they pay. Producer surplus is the difference between the lowest price a producer is willing to accept for goods or services and the actual price they receive.

When a market is in equilibrium, the price and quantity are such that the quantity demanded equals the quantity supplied. At this point, total surplus is maximized, since all trades that benefit both consumers and producers have taken place. The total surplus represents the net benefit to society from the production and consumption of the good or service in the market.

In other words, total surplus is the sum of the gains from trade that accrue to consumers and producers in the market, and it represents the difference between the value that buyers and sellers place on the good or service and the resources that were actually used to produce it.

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Answer:

In the triangle we are given Angle A,B andC

a) To find the value of x we will say

angle A + angle B + angle C = 180(sum of angles in triangle add up to 180)

35 + 52 + 3(x+2) = 180

87 + 3x + 6 = 180

3x + 93 = 180

3x = 180 - 93

3x = 87

x = 29

b) To find the measure for angle C we need to substitute the value of x

angle c = 3(x+2)

= 3(29+2)

= 3(31)

= 93

The results of the regression analysis indicate that television and newspaper advertising are both important in driving weekly gross revenue. This means that the owners of Dixie Showtime can use the results of the regression analysis to make informed decisions about their advertising budgets in order to maximize their weekly gross revenue.

The results of part (a) and part (c) indicate that advertising plays a significant role in the weekly gross revenue of Dixie Showtime Movie Theaters, Inc. The results of the regression analysis indicate that television and newspaper advertising are both important in driving weekly gross revenue. This means that the owners of Dixie Showtime can use the results of the regression analysis to make informed decisions about their advertising budgets in order to maximize their weekly gross revenue. They can allocate their advertising budget based on the amount of impact each form of advertising has on their weekly gross revenue. Additionally, the owners can use the results of the regression analysis to determine the amount of weekly gross revenue they will generate based on their chosen advertising budget.

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To convert teaspoons to ounces divide the ingredient or material's volume times its density by 5.751669.

Divide the volume times the density of the substance or material by 5.751669 to convert a teaspoon measurement to an ounce.

Hence, the volume in ounces is calculated by multiplying the teaspoons by the component or material's density and dividing the result by 5.751669.

ounces = teaspoons × ingredient density / 5.751669

One-third of a tablespoon's volume is represented by a teaspoon. Although a teaspoon is roughly equivalent to 4.9 millilitres, on nutrition labels, a teaspoon is actually equal to 5 millilitres.

The teaspoon is a common volume measurement in the US. Teaspoons can be written as tsp, although they can also be spelled as t, ts, or tspn.

One ounce is equal to 1/16 of a pound in terms of mass/weight. The troy ounce, which is equivalent to 1/12 of a troy pound, should not be confused with the common ounce.

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Answer:

b = 50°

c = 130°

Step-by-step explanation:

B

Vertical angles are congruent (have the same measurement)

C

Adjacent angles ae supplemental (add to 180°)

Answer:

b = 50°

c = 130°

Step-by-step explanation:

The coordinate of the vertex A' after a reflection over the y-axis is equal to A'(3, 4).

In Geometry, a reflection over the y-axis (y = x) is given by this transformation rule (x, y) → (-x, y). This ultimately implies that, a reflection over the y-axis would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By applying a reflection over the y-axis to the coordinates of triangle ABC, the coordinates of A' in triangle A'B'C' include the following:

(x, y)                               →              (-x, y)

Coordinate A = (-3, 4)   →  Coordinate A' = (-(-3), 4) = (3, 4).

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The conversion from mililitres to litre will be done using the relation between the two, where 1 liter has 1000 mililitres.

Firstly know the abbreviations. In this question, ml represents mililitres. Now, The mentioned problem is from unit conversion. As we know the relation, that one litre contains 1000 milliliters of any fluid. So, this is the method of conversion from mililitres to litre.

We can understand given conversion through example. Let us say Zainab has a bottle of 2000 mililitres. Now how many litres of liquid can this bottle contain?

1000 mililitres is present in 1 liter

So, 2000 mililitres will contain = 2000/1000

Performing division

2,000 mililitres will contain 2 litre liquid.

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Step-by-step explanation:

180-(20+x+40)

=180-(60+x)

x=180-60

=120

Answer:

the pressure at a temperature of 600 K is 9.6 pounds per square inch.

Step-by-step explanation:

If the pressure of a gas in a container varies directly as the temperature, then we can use the formula P1/T1 = P2/T2, where P1 is the initial pressure, T1 is the initial temperature, P2 is the final pressure, and T2 is the final temperature.

Using the values given in the problem, we can write:

8/500 = P2/600

Solving for P2, we get:

P2 = (8/500) * 600 = 9.6 pounds per square inch

Therefore, the pressure at a temperature of 600 K is 9.6 pounds per square inch.

The solution of the inequality is:

-9 ≤ x < 14

And the graph can be seen on the image at the end.

Here we want to solve the inequality:

-8 ≤ x + 1 < 15

To solve this, we need to isolate the variable, if we subtract 1 un all the parts we will get.

-8 - 1 ≤ x< 15 - 1

-9 ≤ x < 14

To graph this we need to draw a closed circle at x = -9 and a line that extends to the right, until it ends at an open cirlce at x = 14.

The graph is below.

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Answer: To find the directional vector, subtract the coordinates of the initial point from the coordinates of the terminal point.

Step-by-step explanation:

After 32 weeks, the population of bumble bees will be 6.77315 x 10¹⁴ bees.

The population of bumble bees triples every week, so the common ratio is 3. The starting population is 20 bees.

The formula for a geometric sequence is:

a_n = a_1 * rⁿ⁻¹

where,

a_n = the nth term in the sequence

a_1 = the first term

r = the common ratio

n = the number of terms.

Using this formula, we can find the number of bees after 32 weeks:

a_32 = 20 * 3³²⁻¹

a_32 = 20 * 3³¹

a_32 = 6.773150 × 10¹⁴

Therefore, after 32 weeks, the population of bumble bees will be approximately 6.77315 x 10¹⁴ bees.

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Answer:

individuals will test accurately?

b. what is the probability that none of the individuals test accurately?

c. what is the probability that at least two individuals test accurately?

hey hottie

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If the long-term demand for oranges is the same as the short-term demand, a binding price ceiling will result in a shortage that is larger in long-run demand than the short-run demand. So the answers are shortage and larger.

A shortage occurs when there is a difference between the quantity that is supplied and the quantity that is required of a product, service, or resource. Surplus is a term used to describe situations where there is more supply than demand for a product, service, or resource.

So when the long-run demand is the same as the short-run demand, binding price ceilings typically result in a shortage when there is a lack of supply of products. And, the result will be larger in the case of the long run compared to the short run. Therefore, the first blank can be filled with shortage and the second blank with larger.

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We can convert milliliters to microliters by using the formula 1 milliliters = 10⁻³ microliters.

A milliliters (mL) is the unit of volume. One microliters (uL) is also a unit of volume but is it a smaller unit.

We know, Milli is corresponding to 10⁻³.

So, we can write the relation by using the concept of unit conversion.

10⁻³ milliliters = one microliters.

Now, for example, if we have 2 microliters, then it will be equal to 2 x 10⁻³ milliliters .

So, now we have to standard formula and we can use it to find the value of the time in microliters to milliliters and milliliters to microliters.

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The speed of the train is 28.5 miles per hour.

According to given condition :

One possible equation to solve for the speed of the train is:

speed = distance / time

In this case, the distance is 285 miles, and the time is 10 hours. Plugging in those values, we get:

speed = 285 / 10

Simplifying this expression, we get:

speed = 28.5

Therefore, the speed of the train is 28.5 miles per hour.

What is equation ?

An equation is a mathematical statement that shows that two expressions are equal. Equations typically use variables, numbers, and mathematical operations such as addition, subtraction, multiplication, and division. The purpose of an equation is to find the value(s) of the variable(s) that make the equation true.

For example, an equation might be:

2x + 3 = 7

This equation means that if we multiply x by 2 and then add 3, we get 7. The solution to this equation is x = 2, since if we substitute x = 2 into the equation, we get:

2(2) + 3 = 7

4 + 3 = 7

7 = 7

which is true.

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The value of x when y = 8 is 13.5

If y is inversely proportional to x, it means that their product is a constant value.

We can represent this relationship using the formula:

y * x = k

where k is the constant of proportionality.

We are given that y = 27 when x = 4, so we can solve for k:

27 * 4 = k

This gives

k = 108

Now that we know the value of k, we can use it to find x when y = 8:

y * x = k

This guves

8 * x = 108

So, we have

x = 13.5

Hence, when y = 8, the value of x is 13.5.

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Answer:

Given that 234 tickets remain after the first day, then a 1 = 234 a_1=234 a1​=234. So, Grabriela will have 186 bracelets \text{\color{#c34632}{186 bracelets}} 186 bracelets left to sell after the fifth day.

Answer:

11:30

Step-by-step explanation:

The ratio is 22:60

We simplify by 2 and get

11:30

We can't simplify any more, so the answer is 11:30.

The length of arc CYT is solved to get

= 40.12

Length of arc CYT is calculated using the formula for length of arc

= theta / 360 * 2πR

From the problem, we have that

theta = 360 - 128 = 230

R = radius = CA = 10

π = 3.14sds

plugging in the values we have

= 230 / 360 * 2 * 3.14 * 10

= 23/36 * 20 * 3.14

= 40.1222

= 40.12 (to the nearest tenth)

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Answer:

1. Divide the compound figure into parts whose areas can be calculated. These parts must be simple shapes such are rectangles, triangle, circles, etc. for which there is a formula, and the dimensions (length, width, height, radius, etc.) must be shown or can be calculated.

2. Calculate the area of each part.

3. Add all areas together.

The ratio of roses to daisies is 2:5. If there are 40 roses, then there are 100 daisies.

In the garden, the ratio of roses to daisies is 2:5. This means that for every 2 roses, there are 5 daisies. We can use this information to find the number of daisies when there are 40 roses.

Set up a proportion using the given ratio and the number of roses.
   2/5 = 40/x

Cross multiply to solve for x, we get:
   2 * x = 5 * 40

Then, simplify the expression:
2x = 200

Divide both sides by 2 to isolate x.
x = 100

Therefore, there are 100 daisies in the garden when there are 40 roses.

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Answer:

Step-by-step explanation:

there 2:6

The area of the trapezoidal cross section of the dam when the height is 180 feet is 33,030 square feet.

A quadrilateral is a four-sided polygon, having four edges and four corners.

Let's h be the height of the trapezoid.

The length of the bottom base is 2 times "h", or 2h.

The length of the top base is 1/5 times "h", or h/5, minus 30 feet, which we can write as (h/5) - 30.

Area of a trapezoid = (1/2) × (length of bottom base + length of top base) × height.

The expression for the area of the trapezoidal cross section of the dam is:

(1/2) × (2h + (h/5 - 30)) × h

If the height of the dam is 180 feet, we can plug that value into the expression we just wrote to find the area:

Area = (1/2) × (2(180) + ((180/5) - 30)) × 180

Area = (1/2) × (360 + (36 - 30)) × 180

Area = (1/2) × (360 + 6) × 180

Area = (1/2) × 366 × 180

Area = 33,030 square feet

Therefore, the area of the trapezoidal cross section of the dam when the height is 180 feet is 33,030 square feet.

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