micheal launches a rocket straight up into the air. the table below gives the height H(t) of the rocket (in meters) at a few times t (in seconds) during its flight.

Answer:

here I worked it out on my calculator so it should be right

5 root 11

Answer: i think c

Step-by-step explanation:

The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

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Answer:

$1800

Step-by-step explanation:

twelve months in a year 12*2=24

75*24=1800

Answer:

$1800

Step-by-step explanation:

2 years is 24 months

75*24=1800

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The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

528 cm = 5.77 yards  <---- ( 5.77428 )

The expression is simplified to 2

It is important to note that the table of exact values for trigonometric identity differ with the particular identity in study.

From the table of exact values, we have that;

sin 15 = 0. 25

sin 30 = 0. 5000

sin 45 = 0. 7071

sin 60 = 0. 8600

sin 75 = 0. 9659

sin 90 = 1

To determine the value of the expression, we have to substitute the value of sin 30 as 0. 5000

4 sin 30°

⇒ 4 × 0. 5000

multiply through

⇒ 2

The value determined is 2

Thus, the expression is simplified to 2

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The area of the triangle, when a = 2 and c = 3, is 1512 square centimeters.

We must apply the formula for the area of a triangle, which is provided by: to determine the triangle's area.

(1/2) * Base * Height = Area

We can enter the values of a = 2 and c = 3 into the formula given that the base length is 3ac2 and the height is 2 centimetres greater than the base length.

Base length =\(3ac^2 = 3 * 2 * (3^2) = 3 * 2 * 9 = 54\) centimeters

Height is calculated as Base Length + 2 (54 + 2 = 56 centimetres).

Using these values as a substitute in the formula, we obtain:

Area =\((1/2) * 54 * 56 = 1512\) square centimeters

centimetres square

It's crucial to understand that the calculation assumes the triangle is a right triangle with the specified base and height and that the given values of a and c are accurately used in the formula.

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Answer:

Dilation

Step-by-step explanation:

it’s a dilation because the dilation changes how big the image is or what it looks like after the original image.

Answer:

(3x+5y)/8

Step-by-step explanation:

The total amount is 150+250=400

We then do (3x+5y)/2 × 1/400

This equals (3x+5y)/800

We multiply that  by 100 giving us the final answer.

The expression that shows the concentration of raisins in the resulting mix is 600x+1000y

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given that, Ariana's 150g bag of trail mix is x% raisins. Brandon's 250g bag of trail mix is y% raisins. they combine the two mixes together in one bowl.

Raisins Ariana have = x% of 150

= 3x/2

Raisins Brandon have = y% of 250

= 5y/2

Total mix = 250 + 150

= 400 grams

Concentration of Raisins in the total mix = (3x/2 + 5y/2) of 400

= 600x+1000y

Hence, the expression that shows the concentration of raisins in the resulting mix is 600x+1000y

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Answer:

I think the answer is 1/9

Step-by-step explanation:

I did the equations by using a tree diagram to explain it but

The perimeter of the TV is 9 1 / 6 ft

Perimeter is the distance around a two-dimensional shape. The perimeter is the sum of the whole sides.

Therefore, the perimeter of the rectangular TV is as follows:

where

Therefore,

l = 3 1 / 3 ft = 10 / 3 ft

w = 1 1 /4 ft = 5 / 4ft

perimeter = 2(10 / 3 + 5 / 4)

perimeter = 2( 40 + 15 / 12)

perimeter = 2(55 / 12)

perimeter = 55 / 6

perimeter = 9 1 /6 ft

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Answer:

\(\frac{x^2}{784}+\frac{y^2}{400}=1\)

Step-by-step explanation:

Horizontal Major Axis:

   \(\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}\)

Vertical Major Axis:

   \(\frac{(y-k)^2}{a^2}+\frac{(x-h)^2}{b^2}+\)

So these two expressions are essentially the same with the only difference being the location of "a" and "b". The length of the major axis will be "2a" and the length of the minor axis will be "2b". The way I remember this is because when you have the horizontal major axis the "a" value is in the denominator of the (x-h) and I think of "x" as a horizontal value, since it moves a point horizontally. When you have a vertical major axis the "a" value is in the denominator of (y-k) and I think of "x" as a vertical value, since it moves a point vertically.

So just by looking at the graph, you can easily determine that the eclipse has a horizontal major axis. This can be further proven, since the distance from the origin on the right side is 28, and the distance from the the top to the origin is only 20.

So you could set up an equation to solve for a, since 2a = length of major axis, but since we're given the two points, the "a" value is really just the length from the origin to the right/left side, and combining these together you get the value of 2a/major axis, but you don't have to do that. So by looking at the graph you'll see the distance from the origin to the right side is 28. This means "a=28"

You can do the same thing here for the "b" value, and since the top is 20 units away from the origin, "b = 20"

So now let's set up the equation:
\(\frac{x^2}{28^2} + \frac{y^2}{20^2}=1\)

Square the values in the denominator

\(\frac{x^2}{784}+\frac{y^2}{400}=1\)

The correct answer is:

a = 43%

b = 88%

To determine the values of a and b in the relative frequency table, we need to analyze the information provided in the Venn diagram and the given table.

From the Venn diagram, we can gather the following information:

The circle labeled "satellite" has a value of 55.

The circle labeled "cable" has a value of 75.

The overlap between the two circles is labeled as 12.

Using this information, we can complete the table:

First column - "Satellite":

Entries: Satellite, Not satellite, Total

Total: 55 (as given in the Venn diagram)

Second column - "Cable":

Entries: Blank, 51%, Blank

To find the value for the "Cable" entry, we need to subtract the overlap (12) from the total number of cable users (75).

Cable: 75 - 12 = 63

Therefore, the entry becomes: Blank, 51%, Blank

Third column - "Not Cable":

Entries: a, b, Blank

To find the value for "a," we subtract the overlap (12) from the total number of satellite users (55).

a: 55 - 12 = 43

To find the value for "b," we subtract the overlap (12) from the total number of households (100).

b: 100 - 12 = 88

Therefore, the entries become: 43, 88, Blank

Fourth column - "Total":

Entries: Blank, Blank, 100%

The total number of households is given as 100% (as stated in the question).

Therefore, the values of a and b in the relative frequency table are:

a = 43% (rounded to the nearest percent)

b = 88% (rounded to the nearest percent)

Hence, the correct answer is:

a = 43%

b = 88%

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Answer:

a = \(\frac{41}{9}\)

Step-by-step explanation:

Evaluate f(3):

f(3) = (3)² -2(3)³ + a(3)² +3 +3

9a - 39 = 2

9a = 41

a = \(\frac{41}{9}\)

Answer:

Of course! I LOVEEEE math so much that I pull my hair every time I do it...but I do get a high grade on it almost always. So cheer up and just do math because they will come in handy in the future!!

Answer:

The answer is 75,474

Step-by-step explanation:

Answer:

\(x^\frac{2}{3}\)

Step-by-step explanation:

Using the power of power rule (multiply the exponents)

\(x^\frac{4}{3}\) × \(^\frac{1}{3}\)       \(x^\frac{2}{3}\) × \(^\frac{1}{3}\)

\(x^\frac{4}{9}\)            \(x^\frac{2}{9}\)

When exponents are multiplied, add the answers:

x ^ ( 4/9 + 2/9 )

x ^ ( 6/9 )

x ^ ( 2/3 )

Answer:

Skyler has 130 apples in her bag

Step-by-step explanation:

well first you have to add 15 and 50 and get 65 then you have to multiply 65 by two and get 130

please give brainliest

the correct answer is to

divide by 2:

2(x+15)/2 =50/2

(x+15)=25

subtract 15:

x+15-15=25-15

x=10

We are given the following expression:

We are asked to determine the value of the expression when x = 5. To do that we will replace the value of "x" in the expression for 5:

Solving the operations:

Therefore, the value of the expression when x = 5 is 11.

By observing the points you can learn a lot about a function. Concretely \(f(x)\) passes through \((1,1)\) but \(g(x)\) passes through \((1,-\frac{1}{2})\) that should give you a hint that \(g(x)=-\frac{1}{2}x^2\).

Hope this helps :)

Answer:

The cost of such 5 pencils is Rs.60

Answer:

The cost of a pencil = 12

The cost of 5 pencils = 12 × 5

= 60

We can see here that the data set approximately periodic. The period and amplitude is: Periodic with a period of 4 and an amplitude of about 30.

The size or magnitude of a wave or vibration is measured by its amplitude in physics. It describes the greatest deviation of a wave from its equilibrium or rest state, or the greatest intensity of an electromagnetic or sound wave.

When referring to waves, amplitude is commonly calculated as the distance between a wave's peak or trough and its resting position.

We can deduce that the values are being repeated at regular interval of four (4).

For the amplitude:

\(Amplitude: \frac{140 - 74}{2}\)

Amplitude = 33 ≈ 30.

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Given:

A function:

To find:

f(3) and f(-2).

Solution:

The given equation is f(x) = 5x - 2.

Replace x by 3 in the given equation:

Replace x by -2 in the given equation:

Thus, f(3) = 13, f(-2) = -12.

Answer:

Step-by-step explanation:

The markup, expressed as a percentage of the cost, is the difference between the selling price and the product's cost.Markup on selling price is 27 %.

The markup, expressed as a percentage of the cost, is the difference between the selling price and the product's cost.The gross profit of a unit is determined by subtracting its cost to produce or acquire for resale from its sales price to determine the markup percentage.

Below, you'll find various possible formats for the markup formula or equation.

The selling price given as = $ 15

The cost per CD is = $ 11

The total profit = Selling price - Cost

Total profit per CD = $ 15 - $ 11

Total profit per CD = $ 4

The markup on selling price is calculated as - Total profit ÷ Selling price × 100

Markup on selling price = $ 4 ÷ $ 15 × 100 =26.6666 % or 27 %.

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The scale factor used to dilate triangle D to create triangle D' is 1/3. This means that each side length in triangle D' is one-third of the corresponding side length in triangle D.

To determine the scale factor used to dilate triangle D to create triangle D', we can compare the corresponding side lengths of the two triangles.

In triangle D, the side lengths are given as 18, 24, and 30. In triangle D', the corresponding side lengths are given as 6, 8, and 10.

To find the scale factor, we can divide the corresponding side lengths of D' by the corresponding side lengths of D.

Scale factor = Length of corresponding side in D' / Length of corresponding side in D

For the corresponding sides, we have:

Scale factor = 6/18 = 1/3

Please note that the scale factor can also be determined by comparing the area or perimeter of the two triangles. However, in this case, we used the corresponding side lengths to find the scale factor.

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