Please solve this simple order of operations question. Make sure to show your work. No links are allowed and answers with links will be reported! First person to answer will get brainliest ! Thank you.

[5−2² + (−3)]³ ÷ (-4)

a) The value of x is 5

b) The 5th term of the given geometric sequence is 16/(√5 + 1)³

From the question, we are to determine the value of x in the given geometric sequence.

From the given information,

The first three terms of the geometric sequence are

(√x + 1), 2 and (√x - 1)

The common ratio, r, of a geometric sequence can be determined from the formula

r = a₂/a₁ OR r = a₃/a₂

Thus,

r = 2/(√x + 1)

and

r = (√x - 1)/2

Equating the two equations

2/(√x + 1) = (√x - 1)/2

Cross multiply

(√x + 1) (√x - 1) = 2×2

x - 1 = 4

x = 4 + 1

x = 5

b) The fifth term of a geometric sequence is given by

a₅ = ar⁴

Where a is the first term and r is the common ratio

Thus,

a₅ = (√x + 1)(2/(√x + 1))⁴

Substitute the value of x and simplify

a₅ = (√5 + 1)(2/(√5 + 1))⁴

a₅ = (√5 + 1)(16/(√5 + 1)⁴)

a₅ = 16/(√5 + 1)³

Hence, the 5th term is 16/(√5 + 1)³

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The slope of the line m is -2 if the line passes through (4, -3) and (0, 5) the answer is -2.

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

\(\rm m =\dfrac{y_2-y_1}{x_2-x_1}\)

From the graph:

(4, -3) and (0, 5)

The slope of the line m = (5+3)/(-4)

The slope of the line m = -2

Thus,  the slope of the line m is -2 if the line passes through (4, -3) and (0, 5) the answer is -2.

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Answer:

-0.8 - 0.5b - 1.4c

Step-by-step explanation:

Take the b and the c away

Then times the 0.2 by all the numbers but don't add them

Once your done you and the b and c back to you equation

The required answer is  sec θ = -√2.

Explanation:-

Part 1: Given cosine of theta is equal to radical 3 over 2 on the domain [0,[infinity]).

To determine three possible angles θ,  the cosine inverse function which is a cos and since cosine function is positive in the first and second quadrant. Therefore  conclude that, cosine function of θ = radical 3 over 2 implies that θ could be 30 degrees or 330 degrees or 390 degrees. So, θ = {30, 330, 390}.Part 2:To convert 495° to radians, multiply by π/180°.495° * π/180° = 11π/4To find sec θ, we use the reciprocal of the cosine function which is sec.

Therefore, sec θ = 1/cos θ.To find cos 11π/4,  the reference angle, which is 3π/4. Cosine is negative in the third quadrant so the final result is sec θ = -√2.

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The sequence of transformations will be relection and dilation. Then the correct option is A.

A spatial transformation is each mapping of feature shapes to itself and it maintains some spatial correlation between figures.

The sequence of transformations would yield a trapezoid similar to the original trapezoid but not congruent.

Reflection does not change the size and shape of the geometry.

Rotation does not change the size and shape of the geometry.

Translation does not change the size and shape of the geometry.

Dilation does not change the shape but changes the size of the geometry.

Then the correct option is A.

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Answer:

The answer is C

Step-by-step explanation:

Answer:

7 years

Step-by-step explanation:

Given that:

Let Richard's age = x

Elder sister's age = 2x

Youngwr sister's age = x - 2

Product of sisters ages = 70

2x * (x - 2) = 70

2x² - 4x = 70

2x² - 4x - 70 = 0

x² - 2x - 35 = 0

x² - 7x + 5x - 35 = 0

x(x - 7) +5(x - 7) = 0

(x - 7) or (x + 5) = 0

x = 7 or x = - 5

X can't be negative

Hence, x = 7

Richard is 7 years

Answer:

900

Step-by-step explanation:

(6 + 24)^2

30^2

900

Answer:  

Rectangular pyramid  8 edges

Rectangular prism    12 edges

Triangular Prism   9 edges

Triangular Pyramid  6 edges

Step-by-step explanation: Faces connected at edges

Rectangular pyramid    1 Base  and 4  slanted  triangular sides

Rectangular prism    2 top and bottom bases and 4 sides

Triangular Prism   2 top and bottom triangular bases 3 rectangular sides

Triangular Pyramid    1 triangular base, 3 slanted triangular sides

The matching is as follow:

Rectangular pyramid:  8 edges

Rectangular prism:  12 edges

Triangular Prism: 9 edges

Triangular Pyramid: 6 edges

A pyramid is a triangular-sided, single-polygonal base, three-dimensional polyhedron-shaped construction. A prism is a three-dimensional polyhedron with rectangular sides that are perpendicular to the base and two polygonal bases.

Rectangular pyramid have one Base and 4 slanted triangular sides

Rectangular prism have 2 top and bottom bases and 4 sides

Triangular Prism have 2 top and bottom triangular bases 3 rectangular sides.

Triangular Pyramid have 1 triangular base, 3 slanted triangular sides.

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Answer:

Step-by-step explanation:

The answer is simple

18 - 1 = 17

Answer:

18<b

Step-by-step explanation:

b can repersent any number and you can use any letter in replace of b.

Hope this helps!

Answer:

B) 3x-6y

Step-by-step explanation:

2x+x=3x

5y+y=6y

3x-6y

Answer:

A) 3x - 4y

(2x - 5y) + (x + y)

=> 2x - 5y + x + y

=> 2x + x - 5y + y ------(arranging the like terms together)

=> 3x - 4y

Answer:

-24 + (-55) = -79

Step-by-step explanation:

-4x+6+11x - 5​

Step-by-step explanation:

\( = x + 6 + 11x - 5\)

Organize the expression....

\( = x + 11x + 6 - 5\)

Simplify the expression...

\( = 12x + 1\)

...

Answer:

  the operations in each pair are inverse operations

Step-by-step explanation:

Addition and subtraction are inverse operations. That is, each "undoes" the effect of the other.

Multiplication and division are inverse operations, in that each "undoes" the effect of the other. (The exception is that there is no inverse operation for multiplication by zero.)

Answer:

Step-by-step explanation:

Answer:

86

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

500 x 60% = 300

Answer:

heyyy I will try My best to help you

The probability that the mean of this sample is between 47 and 49.5 is P (0 < z < 5). The value above which 35% of the sample means lie is -0.195 + µ.

The standard deviation of 5 and you randomly select 100 weekdays sales data. The probability distribution does the mean of this sample follow is the Normal Distribution and its distribution parameters are

Standard Deviation, Sample Size, n = 100

The formula for the mean and the standard error of the mean for the population of the sample means, where µ represents the population mean and σ represents the population standard deviation.

Standard Error of the Mean = σ / √ (n) = 5 / √ (100) = 0.5

Mean of the Sample Means = µ

The probability that the mean of this sample is between 47 and 49.5 can be calculated as follows:

z₁ = (47 - µ) / 0.5

z₂ = (49.5 - µ) / 0.5

Probability that mean of the sample is between 47 and 49.5 = P (47 < x < 49.5)

= P (z₁ < z < z₂)

= P (0 < z < 5)

The value above which 35% of the sample means lie can be found from the z-score table or by using the inverse normal distribution formula.

Using the z-score table, the z-score for the 35th percentile is approximately -0.39. The corresponding value can be calculated as follows:-

0.39 = (x - µ) / 0.5x = -0.39 x 0.5 + µx = -0.195 + µ

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Answer:

He can select a row of the random number table and read 20 single digits between 1 and 5. He will record the number of digits that are a 1.

Step-by-step explanation:

edge 2022

Option matching to all our reasoning is:

He can select a row of the random number table and read 20 single digits between 1 and 5. He will record the number of digits that are a 1.

The sampling distribution is the process of collecting data from a very large population.

In the question, we are informed that the dean of students is doing a sampling distribution of students, to find out the number of students enrolled in a nursing program. The table is assigned by digits, where the outcomes of the digits are as follows:

1 = student enrolled in nursing program

2–5 = Students not enrolled in nursing program

Skip 6–9 and 0.

We need to simulate one trial of the situation, where the dean of students selects a random sample of 20 students and records n = the number of students enrolled in the nursing program.

To simulate this, we need a sample from the table with 20 values, so the dean will read 20 single digits between 1 and 5, as these digits are only assigned data, the rest have been asked to skip. To calculate n = the number of students enrolled in the nursing program, we will record the number of digits that are a 1, because 1 represents a student enrolled in the nursing program.

Option matching to all our reasoning is:

He can select a row of the random number table and read 20 single digits between 1 and 5. He will record the number of digits that are a 1.

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Answer:

-6(a+8) simplified using distributive property would equal -6a+-120

Step-by-step explanation:

The correct statement about the independence of two random variables is Statement A: Two random variables are independent if their joint probability mass function (pmf) or their joint probability density function (pdf) is the product of the two marginal pmf's or pdf's.

Statement C is incorrect because two random variables can have a covariance of zero without being independent. Covariance measures the linear relationship between two variables, but independence goes beyond that to include any type of relationship between the variables.

Statement B is also incorrect because independence of discrete random variables does not require every entry in the joint probability table to be the product of the corresponding row and column marginal probabilities. This requirement is only applicable to the case of independence for jointly distributed random variables.

Therefore, the correct statement is Statement A, which defines the criteria for independence based on the joint probability mass function or probability density function.

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Answer:

32.44 quilts will be sewn

Step-by-step explanation:

811/25 = 32.44

Answer:

32 quilts with .44 left over

Step-by-step explanation:

This answer is assuming you are trying to find how many quilts you can make

Answer:

3.29

Step-by-step explanation:

4.32+6.86=11.18

11.18-7.89=3.29

The standard deviation of the weight of 4 men would be: 5 lbs.

The standard deviation of a sample of size 4 is the square root of the variance divided by the sample size. In this case, the standard deviation of the weight of 4 men would be:

√(100 / 4) = √(25) = 5 lbs

Please note that the standard deviation of a population is denoted by the Greek letter sigma (σ) and the standard deviation of a sample is denoted by the letter s.

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Answer:

Step-by-step explanation:

y-2=6x+6

y=6x+8

Answer:

2.50,  4,  5-10, 20-25 apples

Step-by-step explanation:

Answer: 691.25

Step-by-step explanation: average = sum/count

                                                            = 2765/4

                                                            =691.25

The dollar gains depreciated relative to the pound when the price of pounds in dollars increases, for instance, from $1 = 1 pound to $2 = 1 pound.

Devaluation of a currency can take place in both absolute and relative terms. When the value of one currency declines in relation to the values of other currencies, this is referred to as a relative devaluation. For instance, the British pound sterling may be worth more today than it did yesterday in terms of US dollars.

A currency's value declines when compared to other currencies, which is known as currency depreciation. Political unrest, interest rate differences, weak economic fundamentals, and investor risk aversion are a few examples of the causes of currency devaluation.

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The perimeter and area of each of the composite figure is:

a. Area: 138.6 mm²; Perimeter = 50.27 mm.

b. Area: 120.5 cm²; Perimeter = 42.7 cm

c. Area: 521.1 mm²; Perimeter: 95.8 mm

Area of a circle = πr²

Area of a triangle = 1/2(base)(height).

Area of a rectangle = (length)(width).

The perimeter of a composite figure = the sum of all lengths of the sides surrounding the composite figure.

a. The area of the composite figure = area of rectangle + area of two semicircles

Two semicircles = 1 circle

Area of the rectangle = (15)(5) = 75 mm²

Area of the two semicircles = πr² = π(4.5²) = 63.6 mm²

The area of the composite figure = 75 + 63.6 = 138.6 mm².

Perimeter = 5(2) + 4(3) + (perimeter of 1 circle)

Perimeter = 5(2) + 4(3) + (2πr)

Perimeter = 5(2) + 4(3) + (2π(4.5))

Perimeter = 50.27 mm.

b. Area = area of triangle + area of square + area of half circle

Area = 1/2(base)(height) + s² + 1/2(πr²)

Base = 5 cm

Height = 7 cm

s = √(7² + 5²) = 8.6 cm [Pythagorean theorem]

r = 8.6/2 = 4.3 cm

Area = 1/2(5)(7) + 8.6² + 1/2(π(4.3²))

Area = 120.5 cm²

Perimeter = 5 + 7 + 8.6 + 8.6 + (perimeter of half circle)

Perimeter = 5 + 7 + 8.6 + 8.6 + 1/2(2πr)

Perimeter = 5 + 7 + 8.6 + 8.6 + (2π(4.3))

Perimeter = 42.7 cm

c. Area = area of triangle + area of rectangle + area of half circle

Area = 1/2(base)(height) + (length)(width) + 1/2(πr²)

Base = 32 - 20 = 12 mm

Height = 14 mm

Length = 20 mm

Width = 14 mm

r = 1/2(20) = 10 mm

Area = 1/2(12)(14) + (20)(14) + 1/2(π(10²))

Area = 521.1 mm²

Perimeter = 14 + 32 + hypotenuse of the triangle + (perimeter of half circle)

Hypotenuse = √(12² + 14²) = 18.4 mm

Perimeter of half circle = 1/2(2πr) = 1/2(2π(10)) = 31.4

Perimeter of the composite figure = 14 + 32 + 18.4 + 31.4

Perimeter of the composite figure = 95.8 mm

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