Solve 2x²+ 3x − 5 = 0 by factoring.

Answer:

A. 24.2°

Step-by-step explanation:

I'm correct if I'm rwong

Answer:

8. G 9. C 10. G 11. A 12.?

Step-by-step explanation:

The velocity of the quarter when it hits the ground is 39.6 meters per second.

A quarter is dropped from the roof of a building with a height of 80 meters. The following equation can be used to determine the velocity, v, in meters per second, of an object.

V= √(2×9.8×h)

Here, the variable "h" denotes the distance travelled by the quarter during the free-fall. We need to find out the velocity of the quarter when it hits the ground. The quarter will cover a distance equal to the height of the building when it hits the ground.

V = √(2×9.8×h)

V = √(2×9.8×80)

V = √1,568

V = 39.6

Hence, the velocity of the quarter when it hits the ground is 39.6 meters per second.

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To find the volume of the given solid using polar coordinates, we integrate the function over the appropriate range of values for the radial coordinate and the angle.

The given solid consists of a cone and a ring in the xy-plane. The cone is defined by the equation z = √(x² + y²), which represents a right circular cone with its vertex at the origin and opening upwards. The ring is defined by the inequality 1 ≤ x² + y² ≤ 64, which represents a circular region centered at the origin with an inner radius of 1 unit and an outer radius of 8 units.

To evaluate the volume using polar coordinates, we can express the equations in terms of the radial coordinate (r) and the angle (θ). In polar coordinates, the cone equation becomes z = r, and the ring equation becomes 1 ≤ r² ≤ 64. To set up the integral, we need to determine the range of values for r and θ. For the radial coordinate, r ranges from 1 to 8, as that corresponds to the region defined by the ring. For the angle θ, we can integrate from 0 to 2π, covering a full revolution around the origin.

The volume integral is then given by V = ∫∫∫ r dz dr dθ over the region defined by 1 ≤ r² ≤ 64 and 0 ≤ θ ≤ 2π. By evaluating this triple integral, we can find the volume of the solid.

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Using Cooking measurements,

The value replacement for 3/4 cup is = 36 teaspoons or 12 tablespoons.

Cooking Measurements :

Calculate and determine the specific amounts of ingredients required using standard measuring equipment.

A measuring spoon, measuring cup, or measuring utensil.

Measuring Spoons come in a variety of sizes and materials. The smallest set of spoons measure smudges, pinches and dashes. Other sets include tsp (tsp) and tsp (tbsp)

we have given 3/4 cup and we want to replace it

Using the cooking measurement chart ,

1 cup = 16 tablespoons or 48 teaspoons

1/2 cup = 8 tablespoons or 24 teaspoons

we have 3/4 cup then

3/4 cup = 1 cup - 1/4 cup

1/4 cup = 4 tablespoons or 12 teaspoons

then , 3/4 cup = 16 tablespoons - 4 tablespoons

= 12 tablespoons or

3/4 cup = 48 teaspoons - 12 teaspoons

= 36 teaspoons

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Answer:

3

Step-by-step explanation:

The actual prime factors of 60 are 2, 3, and 5.

Answer:

3

Step-by-step explanation:

prime fatorizations are 2, 3, and 5

Answer:

(0,2)

This is extra, but the function would be y = 0.5x + 2.

Step-by-step explanation:

The y-intercept is simply where the function intersects the y-axis. In this, case it's intersecting at (0,2) so that is the answer.

To find the equation for this:

y2 - y1/x2 - x1

6 - 1/8 - (-2)

6 - 1/8 + 2

5/10 = 0.5

y = 0.5x + b

6 = 0.5(8) + b

6 = 4 + b

6-4 = (4-4) + b

2 = b

With that, the equation becomes y = 0.5x + 2

The angle of elevation of the ladder is 60°.

Let us assume the angle of elevation be theta. So, forming the relation.

cos theta = base ÷ hypotenuse. In the formula, base is the distance between the ladder and building. Hypotenuse is the length of ladder since it is leaning against the building.

Keep the values in formula to find the value of cos theta

cos theta = 8 ÷ 16

Performing division on Right Hand Side of the equation to find the angle of elevation

cos theta = 0.5

As per the known fact, cos 60° = 0.5. Thus, theta and hence angle of elevation is 60°.

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Answer:

Robbie's glider

Step-by-step explanation:

Robbie reaches the greater maximum altitude in the first 6 seconds after launch option (C) Robbie's glider is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

Melissa and Robbie are flying remote control gliders.

The altitude of Melissa's glider, h(s), in feet, is modeled by this function:

m(s) = 0.4(s³ - 11s² + 31s - 1)

Plug s = 6 seconds in the function m(s)

m(6) = 0.4(6³ - 11(6)² + 31(6) - 1)

m(6) = 0.4(216 - 396 + 186 - 1)

m(6) = 0.4(5)

m(6) = 2 feet

From the graph of Robbie:

At s = 6 seconds

Altitude = 13 feet (approximately)

Thus, Robbie reaches the greater maximum altitude in the first 6 seconds after launch option (C) Robbie's glider is correct.

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Answer:

A 13

Step-by-step explanation:

Add all the electoral votes together (266)

266 / 21 = 12.666 ~ 13

The median number of given electoral votes is equal to 15, as it is the value at the 5th position in the ordered data set.

To find the median number of electoral votes for the 21 states,

first need to arrange the data in ascending order:

Electoral votes: 10, 11, 12, 13, 15, 17, 20, 21, 27, 31, 34, 55

Frequency: 4, 4, 1, 1, 3, 1, 1, 2, 1, 1, 1, 1

Next, need to calculate the cumulative frequency (CF) by adding up the frequencies from the lowest electoral vote to the highest:

Cumulative frequency: 4, 8, 9, 10, 13, 14, 15, 17, 18, 19, 20, 21

The median is the middle value of the data set when it is arranged in ascending order.

Since we have 21 states, which is an odd number, the median will be the value at the 11th position (or 11/2 = 5.5th position).

To find the median, we look for the value at the 5th position (11/2 = 5.5):

Electoral votes: 10, 11, 12, 13, 15, 17, 20, 21, 27, 31, 34, 55

Position: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12

Therefore, the median number of electoral votes is 15.

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Answer:

To find how many times larger one number is than another, we need to divide the larger number by the smaller one.

(3 x 10^15) / (6 x 10^10)

= (3/6) * (10^15 / 10^10)

= 0.5 * 10^5

= 5 x 10^4

So the answer is:

C) 5 x 10^4

Answer:

M (8, −2) → M ′(3, −1) → M ″(−3, −1)

Step-by-step explanation:

There are 432 different portfolios that are possible.

To calculate the number of different portfolios, we have to multiply the number of choices for each type of investment.

Mutual funds: 4 options ,Municipal bond funds: 6 options ,Stocks: 6 options ,Precious metals: 3 options

The number of different portfolios possible is: 4 × 6 × 6 × 3 = 432

Different portfolios are possible. This is because there are four mutual funds, six municipal bond funds, six stocks, and three precious metals.

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The equation of the output D of Half-subtractor using NOR gate is D = A'B' + AB, a half-subtractor is a digital circuit that performs the subtraction of two binary digits. It has two inputs, A and B, and two outputs, D and C.

The output D is the difference of A and B, and the output C is a borrow signal.

The equation for the output D of a half-subtractor using NOR gates is as follows:

D = A'B' + AB

This equation can be derived using the following logic:

The output D is 1 if and only if either A or B is 1 and the other is 0.

The NOR gate produces a 0 output if and only if both of its inputs are 1.

Therefore, the output D is 1 if and only if one of the NOR gates is 0, which occurs if and only if either A or B is 1 and the other is 0.

The half-subtractor can be implemented using NOR gates as shown below:

A ------|NOR|-----|D

        |      |

B ------|NOR|-----|C

The output D of the first NOR gate is the exclusive-OR (XOR) of A and B. The output C of the second NOR gate is the AND of A and B. The output D of the half-subtractor is the complement of the output C.

The equation for the output D of the half-subtractor can be derived from the truth table of the XOR gate and the AND gate. The truth table for the XOR gate is as follows:

A | B | XOR

---|---|---|

0 | 0 | 0

0 | 1 | 1

1 | 0 | 1

1 | 1 | 0

The truth table for the AND gate is as follows:

A | B | AND

---|---|---|

0 | 0 | 0

0 | 1 | 0

1 | 0 | 0

1 | 1 | 1

The equation for the output D of the half-subtractor can be derived from these truth tables as follows:

D = (A'B' + AB)' = (AB + A'B') = AB + A'B' = A'B' + AB

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Answer: About 30% of civilian employees work for the army, navy, air force, or some other defense agency.

Step-by-step explanation:

This observation corresponds with the fact that a significant percentage of civilian federal employees work for defense agencies or branches of the military. However, it can be important to note that this percentage had can changed over time.

Step-by-step explanation:

2 inches on the map => 2 miles in reality

So 8 inches on the map => 8 miles in reality.

The distance between the park and the school is 8 mi.

hello

it's very easy

you have

2 mi 》》》 2in

x 》》》》》 8in

x = 8*2/2 = 8 mi

good day

Answer:

70 are men

Step-by-step explanation:

150 - 80 = 70

That means 70 are men

Answer:

2/8 = 1/4

Step-by-step explanation:

Probability is simply how likely something is to happen

Answer:

The answer would be the first one.

Step-by-step explanation:

The first answer, any variable is not true because it would not be logical because when someone is checking your work, they wouldn‘t know what that variable is. And it is logical to list what the problem is asking, AND word problems CAN be solved using an equation.

Answer:

the number of tickets remaining is inversely proportional to the time in minutes:

number of tickets remaining  = total amount of tickets - (25 tickets sold per minute x time in minutes) = 350 - 25T

Step-by-step explanation:

for example:

after 5 minutes, the number of tickets remaining = 350 - (25 x 5) = 225 tickets

after 10 minutes, the number of tickets remaining = 350 - (25 x 10) = 100 tickets

after 14 minutes, the number of tickets remaining = 350 - (25 x 145) = 0 tickets

The like terms are -xy, 1/2xy and 2xy

Like terms are expressions that have the same variable factor

Take for instance, 2x and 5x are like terms because their variable factors are x

Also, 5x and 2xy are not like terms

Using the above as a guide, the like terms are -xy, 1/2xy and 2xy

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Answer:

d) The equation of the standard parabola

 x² = 6 y

Step-by-step explanation:

 The given directrix is y= -31.5

  The equation of the parabola is of the form x² =4 a y

  Given focus (0,1.5) , Here  a= 1.5

  The equation of the standard parabola

                                      x² = 4 a y

                                       x² = 4 (1.5)y

                                       x² = 6 y

Conclusion:-

The equation of the standard parabola

 x² = 6 y

The equation that represents the parabola shown on the graph is x∧2 = 6 y

A parabola is known as a plane curve that starts from a point and moves such that its distance from a fixed point is equal to its distance from a fixed line.

The graph shows a vertical parabola opened upwards with the vertex at the origin.

The equation of the parabola from the graph is;

x∧2 = 4ay

The equation of the directrix;

y = -a = -1. 5

Thus, the value of a = 1.5

Then, substitute the value of a = 1.5 in the equation deduced from the graph

x∧2 = 4 × (1.5) × y

x∧2 = 6 y

Therefore, the equation that represents the parabola shown on the graph is x∧2 = 6 y

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Answer:

The answer is c

Step-by-step explanation:

The final expression for the line integral is:

∫C xyeyz dy = ∫[0,1] 2e^(4t^3) dt

To evaluate the line integral ∫C xyeyz dy, where C is the curve defined by x = 2t, y = 4t^2, z = 4t^3, and 0 ≤ t ≤ 1, we need to substitute the parameterization of the curve into the integrand and compute the integral.

First, let's find the expression for y in terms of t:

y = 4t^2

Next, let's substitute this expression into the integrand xyeyz:

xyeyz = (2t)(4t^2)e^(4t^3) = 8t^3e^(4t^3)

Now, we can set up the line integral:

∫C xyeyz dy = ∫[0,1] 8t^3e^(4t^3) dy

Since we are integrating with respect to y, we need to express dy in terms of t. Taking the derivative of y with respect to t:

dy/dt = 8t

Now, we can rewrite the line integral:

∫C xyeyz dy = ∫[0,1] 8t^3e^(4t^3) (dy/dt) dt

Substituting dy/dt = 8t and simplifying:

∫[0,1] 8t^4e^(4t^3) dt

Now, we can integrate with respect to t:

∫[0,1] 2e^(4t^3) dt

Unfortunately, this integral does not have a closed-form solution and cannot be evaluated analytically. However, you can approximate the value of the integral using numerical methods such as numerical integration techniques like Simpson's rule or by using computer software.

So, the final expression for the line integral is:

∫C xyeyz dy = ∫[0,1] 2e^(4t^3) dt

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Answer:

h(4 - n) = -2 + 3n

Step-by-step explanation:

h(t) = 10 - 3t

plug in 4 - n for t

h(4 - n) = 10 - 3(4 - n)

distribute the 3 into the parentheses

h(4 - n) = 10 - 12 + 3n

combine like terms

h(4 - n) = -2 + 3n