A rocket is traveling at 283 miles per minute. How far will the rocket travel in 15 minutes?

Answer:

Step-by-step explanation:

2.4x32=76.8

76,8/800=0.096

Answer:

E &F

Step-by-step explanation:

The rules of a 30-60-90 Triangle is E, and F is just a different value of numbers (but the same ratio).

The slope of the line on the graph will be a negative one. Then the correct option is A.

The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

From the graph, the two points are (-2, 2) and (2, -2). Then the slope is given as,

m = (- 2 - 2) / (2 + 2)

m = - 4 / 4

m = - 1

The slope of the line on the graph will be a negative one. Then the correct option is A.

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The complete question is attached below.

Answer:

undefined

Step-by-step explanation:

The line is a vertical line

Vertical lines have an undefined slope

Answer:

$90

Step-by-step explanation:

A=lw

A=20x20

A=40 ft²

40x2.25=$90

Answer:

90

Step-by-step explanation:

5x4x9=180

180x.5=90

hope this is what you were looking for!

Answer:

34.65 feet

Step-by-step explanation:

A right-angled triangle is formed where:

The height of the ladder = hypotenuse

With respect to the angle 77°:

Distance from the base of the ladder to the base of building = Adjacent

                                                                                                     = 8 feet

h = How high on the building does the ladder make contact = Opposite

Use tanФ trigonometric function to determine h:

   tanФ = \(\frac{Opposite}{Adjacent}\)

 = tan77° = \(\frac{h}{8}\)

Cross-multiplication is applied:

h = (8)(tan77°)

∴h = 34.65 feet (Rounded to the nearest hundredth or 2 decimal places)

Answer:

\(V_2 = 37.5\)

Step-by-step explanation:

Given

\(Volume = 16\)

Represent the height of the smaller cylinder with h and its radius with r.

The height (H) of the larger cylinder is

\(H = h + 50\% * h\)

And the radius (R) is;

\(R = r + 25\% * r\)

Required

Determine the volume of the larger cylinder

Volume of the smaller cylinder is:

\(V_1 = \pi r^2h\)

Substitute 16 for V1

\(16 = \pi r^2h\)

While the volume of the larger cylinder is:

\(V_2 = \pi R^2H\)

We have that:

\(H = h + 50\% * h\) and \(R = r + 25\% * r\)

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

Simplify both expressions

\(H = h + 50\% * h\)

\(H = h + 0.50*h\)

\(H = h + 0.50h\)

\(H = 1.50h\)

\(R = r + 25\% * r\)

\(R = r + 0.25*r\)

\(R = r + 0.25r\)

\(R = 1.25r\)

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

Substitute values for R and H in \(V_2 = \pi R^2H\)

\(V_2 = \pi * (1.25r)^2 * 1.50h\)

\(V_2 = \pi * 1.5625r^2 * 1.50h\)

Collect Like Terms

\(V_2 = 1.50 * 1.5625* \pi*r^2 * h\)

\(V_2 = 2.34375* \pi*r^2 * h\)

\(V_2 = 2.34375* \pi r^2h\)

Recall that: \(16 = \pi r^2h\)

\(V_2 = 2.34375* 16\)

\(V_2 = 37.5\)

Hence, the volume of the larger cylinder is 37.5

We want to find the sample size n such that

Pr[|µ - 101| < 5] = 0.98

where µ is ... some mean. It can be the mean for either the true population or the sample. It's unclear which is which from the given info, but that's not actually important.

In the inequality, divide both sides by the standard error, σ/√n = 16/√n :

Pr[|µ - 101|/(16/√n) < 5/(16/√n)] = 0.98

Use a lookup table to find the z-score corresponding to 0.98 :

⇒   5/(16/√n) ≈ 2.05375

Solve for n :

⇒   n ≈ 43.1911 ≈ 44

Answer:

1 1/5

Step-by-step explanation:

average book per week = the amount of books read / the amount of weeks

= 15/10 = 1 1/2

9514 1404 393

Answer:

  11/20

Step-by-step explanation:

It is appropriate to "invert and multiply".

  \(\dfrac{5}{20}\div\dfrac{5}{11}=\dfrac{5}{20}\times\dfrac{11}{5}=\dfrac{5\times11}{5\times20}=\boxed{\dfrac{11}{20}}\)

The set of numbers that have 11 as a common factor is {154, 231}.

The number that divides two or more numbers is called a common factor.

Given are the pair of numbers as -

{154, 231}

{143, 221}

{33, 39}

{77, 91}

The pair of numbers with the common factor 11 is {154, 231}.

Therefore, the set of numbers that have 11 as a common factor is {154, 231}.

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Answer: \(11\frac{7}{21}\) \(cm^{2}\)

Step-by-step explanation:

Area of rectangle = Length x Width

L = \(5\frac{1}{6} cm\)

W = \(2\frac{2}{7} cm\)

L = (5 x 6)+1 = \(\frac{31}{6} cm\)

W = (2 x 7)+2 = \(\frac{16}{7}cm\)

Area = \(\frac{31}{6} cm\) x \(\frac{16}{7}cm\) = \(\frac{496}{42} cm\) (simplified = \(\frac{248}{21}cm\)) = \(11\frac{17}{21}cm^{2}\)

5¹/6+2²/7=7¹9/⁴2 that is how to solve it

This equation is in This equation is in slope intercept form. The y intercept is (0,-13) and the slope is 7.

The slope intercept form of a linear equation has the following form where the equation is solved for y in terms of x:

a  is a constant term. It is the y intercept, the place where the line crosses the y axis.

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Answer:

96 m²

Step-by-step explanation:

The unshaded region is a right triangle.

The area (A) of the triangle is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the perpendicular height )

Calculate b using Pythagoras' identity in the right triangle

b² + 16² = 20²

b² + 256 = 400 ( subtract 256 from both sides )

b² = 144 ( take the square root of both sides )

b = \(\sqrt{144}\) = 12

Thus area of unshaded region is

A = \(\frac{1}{2}\) × 12 × 16 = 6 × 16 = 96 m²

Answer:

\(\displaystyle 96\:m^2\)

Step-by-step explanation:

You can easily solve this using Pythagorean Triplets:

\(\displaystyle 3, 4, 5 \\ 6, 8, 10 \\ 9, 12, 15 \\ \boxed{12, 16, 20}\)

The shorter leg is twelve metres long. Now you must find the area of this right triangle:

\(\displaystyle \frac{hb}{2} = A\:OR\:\frac{1}{2}hb = A \\ \\ \frac{[16][12]}{2} = \frac{192}{2} = 96\:OR\:\frac{1}{2}[16][12] = \frac{1}{2}[192] = 96\)

You see how swift that was?

I am joyous to assist you at any time.

Answer:

y= -4

Step-by-step explanation:

To find the value of y when x = 6, we can substitute x = 6 into the equation and solve for y:

4(6) + y = 20

24 + y = 20

y = 20 - 24

y = -4

Therefore, when x = 6, y is equal to -4.

The Vertex is : (-6, -30)

The X-intercepts are : Approximately (-10.89, 0) and (-1.11, 0)

The Y-intercept is : (0, 6)

The Axis of symmetry is : x = -6

The functions Domain: is All real numbers

The Range is : All real numbers greater than or equal to -30.

To sketch the graph of the quadratic function \(f(x) = x^2 + 12x + 6,\) we can start by identifying the vertex, x-intercepts, y-intercept, axis of symmetry, domain, and range.

To find the vertex, we can use the formula x = -b/2a, where a, b, and c are the coefficients of the quadratic equation in standard form\((ax^2 + bx + c).\)

In this case, a = 1, b = 12, and c = 6.

Applying the formula, we get x = -12/(2 \(\times\) 1) = -6.

To find the y-coordinate of the vertex, we substitute this x-value into the equation:\(f(-6) = (-6)^2 + 12(-6) + 6 = 36 - 72 + 6 = -30.\)

So, the vertex is (-6, -30).

To determine the x-intercepts, we set f(x) = 0 and solve for x. In this case, we need to solve the quadratic equation \(x^2 + 12x + 6 = 0.\)

Using factoring, completing the square, or the quadratic formula, we find that the solutions are not rational.

Let's approximate them using decimal values: x ≈ -10.89 and x ≈ -1.11. Therefore, the x-intercepts are approximately (-10.89, 0) and (-1.11, 0).

The y-intercept is obtained by substituting x = 0 into the equation: \(f(0) = 0^2 + 12(0) + 6 = 6.\)

Thus, the y-intercept is (0, 6).

The axis of symmetry is the vertical line that passes through the vertex. In this case, it is the line x = -6.

The domain of the function is all real numbers since there are no restrictions on the possible input values of x.

To determine the range, we can observe that the coefficient of the \(x^2\) term is positive (1), indicating that the parabola opens upward.

Therefore, the minimum point of the parabola occurs at the vertex, (-6, -30).

As a result, the range of the function is all real numbers greater than or equal to -30.

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Answer:

2+4+ccc

Step-by-step explanation:

Answer:

4 cups=2 pint

3 cups=1.5 pint

5 cups=2.5 pints

Step-by-step explanation:

Because there are 2 cups in each pint, we can divide the number of cups by two to get the number of pints.

4/2=2

3/2=1.5

5/2=2.5

Let me know if you have any questions!

Answer:

2/1 is the answer going over two down one to create your slope

Answer:

Don't click the site its a scam and will give your phone a virus

Answer:

a = 3

Step-by-step explanation:

Collect like-terms:

\( - 16 = a - 19\)

\(a = - 16 + 19\)

\(a = 3\)

Answer: 3

Step-by-step explanation: you take 19 from 3 giving you -16

Answer:

X+Y-3

Step-by-step explanation:

I don’t know what X/Y is, but “three less than” means you need to subtract 3 from the sum of X+Y

Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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Answer:

Step-by-step explanation:

208

1 cm = 10 mm. Length of book : 28 cm. Length of book = 280 mm. This shows that measurements in mm are the same but look to have a higher number .

The conversion factor provided states that 1 cm is equal to 10 mm, which means that 1 cm is made up of 10 individual millimeters.

The length of my book in when measured in millimeters is 280 mm.

In centimeters, this is therefore:

= 280 mm / 10 cm /mm

= 28 cm

Although the numerical value appears higher when expressed in millimeters, it is important to note that the actual length of the book remains the same.

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Explanation:

I'll represent the dice results as an ordered pair. Something like (6,2) means the first die is a 6 and the second is a 2. The sum being 6+2 = 8.

There are only two ways to get to a sum of 8, and those two ways are:

Here are other possibilities if we allow the sum to be larger than 8

You should find that there are a total of 10 ways to have two dice add to a value that is 8 or larger, given that at least one of the dice must be a 6.

This is out of 6*6 = 36 ways to roll two dice without such a restriction. The probability we're after is 10/36 = (2*5)/(2*18) = 5/18

Side note: 5/18 = 0.2778 = 27.78% approximately

We are 99 % confident that the true population mean number of computers in a household is between 1.234 and 1.406 %. Round to three decimal places.

A statistical tool called a confidence interval is used to show the range of estimates that an unknown statistical parameter is likely to fall into. If the parameter is the population mean, the confidence interval provides an approximation of the range of potential values.

sample mean 'x =   1.3200

sample size n =   150

std deviation σ =   0.4100

std error ='σx=σ/√n=0.41/√150       = 0.033

We have,

confidence interval of 99%,

CI = x ± Z×s√n

where,

x =   1.3200

n =   150

σ =   0.4100

=1.32 ± 2.5758×0.41√150

=1.32 ± 0.0862

Therefore, population mean number of computers in a household is between 1.234 and 1.406 %

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If the function f(x)= 2x – 3 and g(x) = 3/2x + 1 then g(4) < f(4) is a true statement?

A function is a relationship or expression involving one or more variables.  It has a set of input and outputs.  Each input has only one output.  The function is the description of how the inputs relate to the output.

A function can also be said to be a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. Let A & B be any two non-empty sets; mapping from A to B will be a function only when every element in set A has one end, only one image in set B.

Functions are generally represented as f(x).

Let , f(x) = \(x^{3\\}\).

It is said as f of x is equal to x cube.

Functions can also be represented by g(), t(),… etc.

For g(4) < f(4);

g(4) = 3/2(4) + 1

g(4) = 3/9

f(4) = 2(4) - 3

f(4) = 8 - 3

f(4) = 5

Therefore; g(4) < f(4)

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