What are two numbers that round to 130 when rounded to the nearest tenth

Answer:

\({ \tt{simple \: interest = p \times r \times t}} \\ = 10000 \times 15\% \times 5 \\ = £7500\)

The arc cossecant of the given value is of 30º.

The cosecant of an angle is given by the ratio between 1 and the sine of the angle, as follows:

cos(x) = 1/sin(x)

The arc cossecant of an angle is represented by the expression arc csc(x), and represents the inverse of the cossecant, that is, it is the angle which has a cosecant of x.

In this problem, the arc cossecant that is asked is:

\(\arccsc{\left(\frac{2}{3\sqrt{3}}\right)}\)

Basically, it asks for the angle which has a cossecant value of 2/(3sqrt(3)). This angle is found using a calculator, and it is of 30º.

Hence the numeric value of the expression is presented as follows:

\(\arccsc{\left(\frac{2}{3\sqrt{3}}\right)} = 30^\circ\)

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Answer:

20000

Step-by-step explanation:

You take the first non zero number on the left then add zeros for the remaining digits.

Answer:

h.56

Step-by-step explanation:

The value οf the variable y is 9 when k is -3 in the given question.

In mathematics and statistics, a variable is a quantity οr a characteristic that can take οn different values οr attributes. Variables can be classified as either quantitative οr categοrical, depending οn the type οf data they represent.

A quantitative variable is a variable that represents a numerical measurement οr quantity. Examples οf quantitative variables include height, weight, temperature, and incοme.

A categοrical variable is a variable that represents a grοup οr categοry. Examples οf categοrical variables include gender, race, and type οf car.

Given: y=k x

where, x= -3 and k= -3

we can find the value of y by multiplying k with x,

so, y=k x

now, putting values as follows:

we get, y = -3 × -3

               = 9

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The rate (in km/h) at which the distance from the plane to the radar station is increasing a minute later is 0 km/h (rounded to the nearest whole number).

To solve this problem, we can use the concepts of trigonometry and related rates.

Let's denote the distance from the plane to the radar station as D(t), where t represents time. We want to find the rate at which D is changing with respect to time (dD/dt) one minute later.

Given:

The plane is flying with a constant speed of 360 km/h.

The plane passes over the radar station at an altitude of 1 km.

The plane is climbing at an angle of 30°.

We can visualize the situation as a right triangle, with the ground radar station at one vertex, the plane at another vertex, and the distance between them (D) as the hypotenuse. The altitude of the plane forms a vertical side, and the horizontal distance between the plane and the radar station forms the other side.

We can use the trigonometric relationship of sine to relate the altitude, angle, and hypotenuse:

sin(30°) = 1/D.

To find dD/dt, we can differentiate both sides of this equation with respect to time:

cos(30°) * d(30°)/dt = -1/D^2 * dD/dt.

Since the plane is flying with a constant speed, the rate of change of the angle (d(30°)/dt) is zero. Thus, the equation simplifies to:

cos(30°) * 0 = -1/D^2 * dD/dt.

We can substitute the known values:

cos(30°) = √3/2,

D = 1 km.

Therefore, we have:

√3/2 * 0 = -1/(1^2) * dD/dt.

Simplifying further:

0 = -1 * dD/dt.

This implies that the rate at which the distance from the plane to the radar station is changing is zero. In other words, the distance remains constant.

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Answer:

Step-by-step explanation:

So the temperature when both the Celsius and Fahrenheit scales are the same is -40 degrees.

Answer:

- 40

Step-by-step explanation:

Answer:

d) y = 4/5*x+2

Step-by-step explanation:

Step-by-step explanation:

3x + 2y + z = 140

2x + 2y + 2z = 170

x + 3y + 2z = 180

Answer:

The minimum value of this quadratic function is -4.

At the point (-4, 0), the x-axis intercepts with the quadratic graph.

There is 1 root of this quadratic equation.

Approximately, when y=1, the x value could be -5 or -3.

Scale factor is 4 for all.

Answer:

x=4-y/2

Step-by-step explanation:

subtract 3y from both sides

simplify

divide both sides by 6

Answer:

2.

Step-by-step explanation:

Primarily, try to list the given set of numbers in ascending order (increasing order).

and then include 56 in the ascending order as the least number there.

which is like : 56, 82 ,83 ,85 ,87 ,91 ,93 ,95.

We now have 8 subsets.

To find the mean...Find the "average" by adding the above arranged values and then divide them by the number of subsets.

like this Mean = 56+82+83+85+87+91+93+95 ÷ 8 = 84.

and now look for the median...which is simply the sum of the two middle numbers in the arranged set which are 85 & 87 divided by 2 because that's their average.

Median = 85 + 87 ÷ 2 = 86.

and now we are supposed to find the difference of the mean & median. so let's subtract them from each other 86 - 84 = 2.

Peace to you.

Answer:

2

Finding the mean is simple.

Find the sum of the values by adding them all up.

Divide the sum by the number of values in the data set.

Finding the mode is also simple.

Place all numbers in a given set in order; this can be from lowest to highest or highest to lowest, and then count how many times each number appears in the set. The one that appears the most is the mode.

Answer:

1

Step-by-step explanation:

4/5 is closer to 1

Answer:

B) 400

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

53.76 cm³

Step-by-step explanation:

1/2(4.8)(3.2)(7)=53.76

The picture is quite blurry.  I think it's 4.8 at the base, but can't see for sure.

Answer:

your answer is right answer is 4

I bet the sum you're referring to is supposed to be

\(\displaystyle \sum_{r=0}^{20} r^2 \times {}^{20}C_r\)

or equivalently,

\(\displaystyle \sum_{r=0}^{20} r^2 \binom{20}r\)

where \(\binom nk = \frac{n!}{k!(n-k)!}\) is the binomial coefficient.

Recall the binomial series,

\((1+x)^\alpha = \displaystyle \sum_{r=0}^\infty \binom\alpha r x^r\)

which is valid for |x| < 1. (Note that if r > α, the binomial coefficient is defined to be zero, so there really are only α many terms when α is a whole number.)

Differentiating both sides with respect to x gives

\(\alpha (1+x)^{\alpha-1} = \displaystyle \sum_{r=0}^\infty r \binom\alpha r x^{r-1}\)

Multiply both sides by some arbitrary x in |x| < 1 :

\(\alpha x (1+x)^{\alpha-1} = \displaystyle \sum_{r=0}^\infty r \binom\alpha r x^r\)

Repeat:

\(\alpha (1+x)^{\alpha-1} + \alpha(\alpha-1) x(1+x)^{\alpha-2} = \displaystyle \sum_{r=0}^\infty r^2 \binom\alpha r x^{r-1}\)

\(\alpha x (1+x)^{\alpha-1} + \alpha(\alpha-1) x^2 (1+x)^{\alpha-2} = \displaystyle \sum_{r=0}^\infty r^2 \binom\alpha r x^r\)

Let α = 20, and let x approach 1 from below. The right side converges to the sum we want, while the left side converges to

\(20 \times 2^{19} + 20\times19\times 2^{18} = (20 + 10\times19)\times2^{19} = \boxed{210\times2^{19}}\)

Equation of parabola: y =ax² and receiver should be placed 18 feet above vertex.

Explanation:

Considering satellite dish as parabola we can have vertex as origin and concave upward.

So, equation of parabola will be justifying structure of satellite dish i.e

y = ax² -------(1)

Two points other than (0,0) are (-12,2) and (12,2), unit being feet.

This points will satisfy equation of parabola, substituting them in equation 1, we will calculate the value of constant 'a'.

a = \(\frac{2}{12^{2} }\)

\(\frac{2}{2*6*12}\\ =\frac{1}{72}\)

Substituting value of a = 1/72 in equation 1 we get

72y = x²

As receiver need to be located at focus, so it will be places at a distance of 'p' above the vertex

4p = 72

Dividing both sides by 4, we get

p = 18 feet

So, receiver will be placed at a distance of 18 feet above vertex.

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Answer:

1.5=slope

Step-by-step explanation:

To do this, we need to solve the slope.

We will use rise/run

0-3=-3

0-2=-2

-3/-2=1.5

The number of meetings they attended in the last five years (x) and the number of papers they submitted to peer reviewed journals (y) during the same period is \(-8.6+3.15\).

What is formula for slope and intercept is?

\($$\begin{aligned}& b=\frac{n \sum x y-\left(\sum x\right)\left(\sum y\right)}{n \sum x^2-\left(\sum x\right)^2} \\& a=\bar{y}-b \bar{x} \\& \hat{y}=a+b x\end{aligned}$$\)

The slope is

\($$\begin{aligned}b & =\frac{n \sum x y-\left(\sum x\right)\left(\sum y\right)}{n \sum x^2-\left(\sum x\right)^2} \\& =\frac{12 \times 318-(12 \times 4)(12 \times 4)}{12 \times 232-(12 \times 4)^2} \\& =3.15\end{aligned}$$\)

The intercept is

\($$\begin{aligned}a & =\bar{y}-b \bar{x} \\& =4-3.13 \times 4 \\& =-8.6\end{aligned}$$\)

The regression equation is

\($$\begin{aligned}\hat{y} & =a+b x \\& =-8.6+3.15 x\end{aligned}$$\)

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Width x Length

X = Length

\(\frac{1}{3}\) = 507

\(x^{2}\) = 1521 \(ft^{2}\)

X = 39\(ft\)

Answer:

1/5x

Step-by-step explanation:

1/5x

Answer:

it will travel 50 km

Step-by-step explanation:

175/3.50 equals 50

The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is  y > -2

From the question, we have the following parameters that can be used in our computation:

f(x) = 3ˣ ⁻ ¹ - 2

The above equation is an exponential function

The rule of an exponential function is that

In this case, it is -2

So, the range is y > -2

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