Help me with these please!!

Step-by-step explanation:

In a rectangle

Area (A) = 248 m²

length (L) = 4 m

breadth (b) = ?

We know

A = L * b

248 = 4 * b

b = 62 m

Now

Perimeter of the rectangle

= 2 ( L + b)

= 2 ( 4 + 62)

= 2 * 66

= 132 m

Hope it will help :)

Answer:

first we have to get the width.

A=L*w

so, A =L *W

L L

W=A

L

248m²=4m*W

248m²=4m*w

4m 4m

w=248m²

4m

w=32m

now we can find the perimeter.

p=2(L+w)

p=2(4m+32m)

p=2(36m)

p=72m

there for the answer is 72m

Step-by-step explanation:

Sn= a+[n-1]d

S2= a+[2-1]d

8.5 = a+d _______Equation 1

S5 = a+[5-1]d

13=a+4d ________Equation 2

Subtract Equation 1 from Equation 2

13=a+4d

-

8.5= a+d

________

4.5= 3d

d=1.5

Substituting d=1.5 in equation 1

8.5=a+1.5

a=8.5-1.5

a=7

Sum of terms of an A.P =

Sn= n/2[2a+(n-1)d]

292= n/2[2×7+(n-1)d]

292=n/2[14+(n-1)1.5

292×2=n[14+(n-1)1.5]

584=n[14+1.5n-1.5]

584= 14n+1.5n²-1.5n

584= 1.5n²+12.5n

1.5n²+12.5n-584

1.5n²-24n+36.5n-584

1.5n(n-16)+36.5(n-16)

(1.5n+36.5)(n-16)

**n-16=0

n=16

The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.

The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:

1. The first term is 421 + 222, which equals 643.

2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.

3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.

4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.

5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.

6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.

7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.

8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.

9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.

Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:

- 421 + 222 = 643

- 3x² + 213 = 225

- 5x11² = 1210

- (√₁+√₂)² = 9

- 10ln(₁) ≈ 6.9314718

- (x₁+x₂)(x² + x3) = 408

The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.

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Answer:

See Below.

Step-by-step explanation:

Statements:                                                        Reasons:

\(1)\text{ }\angle AOD=180\)                                                  Straight Angle Theorem

\(2)\text{ } \angle AOB+\angle BOC+\angle COD=\angle AOD\)              Angle Addition    

\(3)\text{ } \angle AOB+\angle BOC+\angle COD=180\)                   Substitution

\(\displaystyle 4)\text{ } \angle AOB=\frac{1}{2}\angle BOC\)                                          Given

\(\displaystyle 5)\text{ } \angle BOC=\frac{2}{3}\angle COD\)                                          Given

\(\displaystyle 6)\text{ } \frac{1}{2}\angle BOC+\frac{2}{3}\angle COD+\angle COD=180\)              Substitution

\(\displaystyle 7)\text{ } \frac{1}{2}\Big(\frac{2}{3}\angle COD\Big)+\frac{2}{3}\angle COD+\angle COD=180\)       Substitution

\(\displaystyle 8)\text{ } \frac{1}{3}\angle COD+\frac{2}{3}\angle COD+\angle COD=180\)              Multiplication

\(\displaystyle 9)\text{ } 2\angle COD=180\)                                                 Addition

\(10)\text{ } \angle COD=90\)                                                   Division Property of Equality

\(\displaystyle 11)\text{ } \frac{1}{2}\angle AOD=90\)                                                Division Property of Equality

\(\displaystyle 12)\text{ } \angle COD=\frac{1}{2}\angle AOD\)                                        Substitution

Answer:

this is your answer. good luck.

Variability provides a quantitative measure of the differences between scores in a distribution and describes the degree to which the scores are spread out to clustered together. The purpose for measuring variability is to obtain an objective measure of how the scores are spread out in a distribution

Variability also measure how accurately individual score or sample represent the entire population

When the standard deviation is 0 , the scores have no variability.

Variability describes how far the data points are from each other and from the center of the distribution. In addition to measures of central tendency, measures of variability provide descriptive statistics that summarize the data.

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Answer:

Step-by-step explanation:

try 6

Answer: 6

Step-by-step explanation: 6 x 8 = 48

Repeated-measures design would require the smallest number of subject

Repeated-measures design: Repeated measures design is a research design that involves multiple measures of the same variable taken on the same or matched subjects either under different conditions or over two or more time periods. For instance, repeated measurements are collected in a longitudinal study in which change over time is assessed

given that, a researcher conducts an experiment comparing two treatment conditions and obtains 20 scores in each treatment

Repeated-measures design would require the smallest number of subjects

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Answer:0.375

Step-by-step explanation:

3/4=0.75

0.75/2=0.375

(3/4)/2=0.375

Answer:

y -intercept is 5 and the x -intercept is undefined

Step-by-step explanation:

The graph is a horizontal line that is parallel to the x-axis and there is no points on the line that are on the x-axis.

In slope-intercept form, the equation is: y = 0x + 3. In standard form, the equation is: 0x + y = 3

To find the equation of a line passing through two given points, we can use the point-slope form of a linear equation. Given the points (-1, 3) and (-3, 3), we can find the slope of the line using the formula: slope (m) = (y₂ - y₁) / (x₂ - x₁). Substituting the values from the given points: m = (3 - 3) / (-3 - (-1)), m = 0 / (-2), m = 0. The slope (m) is 0, which means the line is a horizontal line.

Since the line passes through the points (-1, 3) and (-3, 3), we know that the y-coordinate is always 3 for any x-coordinate on the line. Therefore, the equation of the line can be written as: y = 3. In slope-intercept form, the equation is: y = 0x + 3. In standard form, the equation is: 0x + y = 3. Both forms represent the same equation of a horizontal line passing through the points (-1, 3) and (-3, 3).

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Probality is given by the ratio of the number of the one type of product to the total number of the product .

so red apple have probality of ⁷/10 which means there are 7 red apple and total of 10 apple

so green apple = 10- 7 = 3 apples

Ezra has to throw a beanbag 17 feet far to reach Allie

According to the question,

The distance between Allie and Ezra's flagpoles is 15 feet

length of Allie's flagpole = 35 feet

length of Ezra's flagpole = 27 feet

Difference between Allie and Ezra's flagpole = (35 - 27) feet

= 8 feet

Now, there forms a right angled triangle, where hypotenuse is the distance that Ezra's bean bad has to cover.

Using Pythagoras theorem,

\(H^{2} = B^{2} + A^{2}\)

where H = hypotenuse,

B= Base of the triangle

A = Altitude of the triangle

we are given,

B = 15 feet,

A = 8 feet

On substituting the values,

\(H^{2} = 15^{2} + 8^{2}\)

\(H^{2} = 225 + 64\\H^{2} = 289\\H = \sqrt{289} \\H = 17\\\)

So hypotenuse = 17 feet

Ezra has to throw the beanbag 17 feet far in order to reach it to Allie.

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Step 1: Write the system of equations

Step 2: Using Elimination method

Hence the new equations are

A plot that will present the information that will highlight how many trees are in a range of heights, such as 60–64, 65–69, etc. : histogram

In this question, we have been given the tree heights recorded on a school campus.

A science teacher wants to choose a data display that will highlight how many trees are in a range of heights, such as 60–64, 65–69, etc.

We need to find a correct plot that will present the information in this way.

We know that in bar charts, each bar represents one value(category). And  in a histogram, each bar will represent a continuous data

Therefore, a plot that will present the information that will highlight how many trees are in a range of heights, such as 60–64, 65–69, etc. : histogram

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Answer:

Step-by-step explanation:

A plot that will display information highlighting the number of trees in a range of heights, such as 60-64, 65-69, and so on: histogram

We were provided the tree heights reported on a school grounds in this question. A science instructor needs to select a data presentation that will show how many trees are in a given height range, such as 60-64, 65-69, and so on. We must find a suitable plot to portray the data in this manner. We know that each bar on a bar chart represents one value (category). And each bar in a histogram represents continuous data.

Given:

The number of faces =8.

Required:

We need to find the polyhedron with 8 faces.

Explanation:

Recall that the tetrahedron is a polyhedron composed of four triangular faces

The number of faces in tetrahedron =4.

Recall that the octahedron is a polyhedron with 8 faces.

The number of faces in the octahedron= 8.

Recall that the dodecahedron is a polyhedron with 12 faces.

The number of faces in the dodecahedron = 12.

Recall that the icosahedron is a polyhedron with 20 faces.

The number of faces in icosahedron =20.

Final answer:

octahedron

The value of x for which (f - g)(x) = 0 is x = 12.

To find the value of x for which (f - g)(x) = 0, we need to subtract g(x) from f(x) and set the resulting expression equal to zero. Let's perform the subtraction:

(f - g)(x) = f(x) - g(x)

= (16x - 30) - (14x - 6)

= 16x - 30 - 14x + 6

= 2x - 24

Now, we can set the expression equal to zero and solve for x:

2x - 24 = 0

Adding 24 to both sides:

2x = 24

Dividing both sides by 2:

x = 12

Therefore, the value of x for which (f - g)(x) = 0 is x = 12.

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Answer:

\(\frac{(a-b)^2+b^2}{a^2}\)

which agrees with the first choice (A) in your list of possible answers

Step-by-step explanation:

Notice that the area of the outer square is given by the square of it side \((a)\).Then the outer area is given by: \(a^2\)

Now, the inner square's area we calculate by subtracting from the outer area four equal right angle triangles (those shaded in grey in the figure provided). Each of such right angle triangles have an area given by the general formula of a triangle's area:

\(Area_{triangle}= \frac{base\,*\,height}{2} =\frac{(a-b)\,b}{2} =\frac{ab-b^2}{2}\)

Therefore the internal square's area is:

\(a^2-4\frac{ab-b^2}{2} =a^2-2ab+2b^2\)

And then the quotient of this are over the larger square area becomes:

\(\frac{a^2-2ab+2b^2}{a^2} =\frac{a^2-2ab+b^2+b^2}{a^2}=\frac{(a-b)^2+b^2}{a^2}\)

Answer:

Della must buy 11 packs of batteries to get free shipping

Answer:

$81.15

Step-by-step explanation:

The orbit type of the Molniya 1-91 satellite is Molniya orbit, characterized by a highly eccentric orbit inclined at an angle of 63.17 degrees to the Earth's equator. The orbital parameters, namely the semi-major axis (a) and the argument of perigee (ω), are required to determine the satellite's position and velocity vectors.

a) The Molniya 1-91 satellite follows a Molniya orbit, which is a type of highly eccentric orbit designed to provide extended dwell time over high latitudes. This orbit is characterized by a high inclination angle of 63.17 degrees with respect to the Earth's equator. Molniya orbits are commonly used for communication satellites that serve polar regions, as they spend a significant portion of their orbit over these areas.

b) To determine the orbital parameters of the Molniya 1-91 satellite, we need to extract the relevant information from the two-line element set. The semi-major axis (a) is not directly provided in the given data. However, we can calculate it using Kepler's third law and the mean motion (n) derived from the second line of the TLE. The argument of perigee (ω) is given as 281.6462 degrees in the TLE. These parameters, along with other orbital elements, are crucial for describing the satellite's orbit.

c) To calculate the position and velocity vectors of the Molniya 1-91 satellite in the geocentric equatorial coordinate frame, we need additional information. The TLE only provides elements related to the orbit's shape and orientation, not the satellite's current position and velocity. Position and velocity vectors can be determined by solving the equations of motion using the orbital parameters and mathematical models of celestial mechanics. However, without up-to-date information on the satellite's time and date, it is not possible to calculate these vectors accurately.

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Answer:

$64.50

Step-by-step explanation:

You can sum 7,5% of $150 which will be $161,25 minus 40% = Correct answer is D

b. interquartile range is a measure of dispersion.

The correct answer is b. interquartile range.

Here, we have,

The interquartile range is a measure of dispersion that represents the range between the first quartile (25th percentile) and the third quartile (75th percentile) of a dataset. It gives an indication of the spread of the middle 50% of the data and is less affected by outliers compared to the range.

Quartiles (a) and percentiles (c) are positions or values within a dataset and are used to divide the data into equal parts. While they can provide information about the distribution of the data, they are not direct measures of dispersion.

The geometric mean (d) is a measure of central tendency and is calculated as the nth root of the product of n numbers. It is not a measure of dispersion.

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The region outside the circle r = 3 and inside the circle r = - 6cos θ is given below.

\(\rm Area = \dfrac{12\pi - 9\sqrt3 }{2}\)

When the two curves intersect then they bound the region is known as the area bounded by the curve.

The region outside the circle r = 3 and inside the circle r = - 6cos θ

Then the value of the θ will be

\(\begin{aligned} -6\cos \theta &= 3\\\\\cos \theta &= -\dfrac{1}{2}\\\\\theta &= -\dfrac{2\pi}{3}, \dfrac{2\pi}{3} \end{aligned}\)

Then the area will be given as

\(\rm Area = \dfrac{1}{2} \int_{-\frac{2\pi}{3}}^{\frac{2\pi}{3}} [-6 \cos \theta)^2 - 3^2 ] d \theta \\\\\\Area = \dfrac{1}{2} \int_{-\frac{2\pi}{3}}^{\frac{2\pi}{3}} [18 (2\cos ^2 \theta ) - 9]d \theta \\\\\\Area = \dfrac{9}{2} \int_{-\frac{2\pi}{3}}^{\frac{2\pi}{3}} [2(1 + \cos 2\theta ) - 1] d \theta \\\\\\Area = \dfrac{9}{2} \int_{-\frac{2\pi}{3}}^{\frac{2\pi}{3}} [2 \cos 2\theta ) + 1] d \theta \\\\\)

\(\rm Area = \dfrac{9}{2} [ \sin 2\theta + \theta ] _{-\frac{2\pi}{3}}^{\frac{2\pi}{3}} \\\\\\ Area = \dfrac{9}{2} [ \sin 2( \frac{2\pi}{3}) +\frac{2\pi}{3} - \sin 2 (\frac{2\pi}{3}) - \frac{2\pi}{3}] \\\\\\\)

On simplifying, we have

\(\rm Area = \dfrac{12\pi - 9\sqrt3 }{2}\)

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Answer:

Tacos for adults: 13*3

Tacos for children: 17*1

Total: 39+17

=56

And in each package there will be 8 tacos

So, 56/8 = 7 = No. of tacos needed.

So the corrrect answer is A 7, because (13 x 3 + 17) + 8 = 7

The equation of exponential regression that fits the data is given as follows:

y = 1.5(2.5)^x.

An exponential function has the definition presented as follows:

y = ab^x.

In which the parameters are given as follows:

To obtain the equation of exponential regression, we must insert the points of the data-set into a calculator.

The points are given as follows:

(1, 3.75), (4, 9.375), (3, 23.438), (4, 58.594), (5, 146.484).

Inserting these points into a calculator, the equation is given as follows:

y = 1.5(2.5)^x.

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Answer: w>-27

Step-by-step explanation: I believe that this is your answer I am sorry if it is incorrect.

In AAA (Angle-Angle-Angle), triangles do not have the same size and only have 3 pairs of congruent angles.

In SSS (Side-Side-Side), if the three sides of one triangle are equal to the three sides of another triangle, the triangles are congruent.

Answer:Go look Under.... You think u smart.....

Step-by-step explanation:

Write the rate as a decimal.

10%=0.10

Calculate the balance.

B= p(1+r)^t

= $60(1+0.10)^3

= $60(1.10)^3

= $60(1.331)^3

= $79.86

The balance will be $79.86

The correct option is (b) sample size.

In the formula for calculating the standard deviation, the letter n represent  sample size.

What is standard deviation?

Standard deviation is a statistical standard measure in finance that, when applied to an investment's annual rate of return, sheds light on its historical volatility.

Some key features regarding the standard deviation are-

A square root of a value deduced from correlating data points to a population's collective mean is used to calculate standard deviation. The formula is:

Standard Deviation = \(\sqrt{\frac{summation n to i=1 (x_{i}-bar x )}{n-1} }\)

Where,

\(x_{i}\)= value of the i th point the the given data set.

\(barx\)= mean value

n = total number of data points.

Thus, the standard deviation, on the other hand, determines all ambiguity as risk, even when it is in the investor's favor, like above-average returns.

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