write a pair of integers whose difference is -5​

Answer:

[tex]n \leqslant 4[/tex]

Step-by-step explanation:

[tex] - 3n - 5 \geqslant - 17[/tex]

[tex] - 3n \geqslant - 12[/tex]

[tex] \frac{ - 3n}{ - 3} \leqslant \frac{ - 12}{ - 4} [/tex]

[tex]n \leqslant 4[/tex]

Answer:

[tex](a)\ y = 130x -350[/tex]

(b) y represents the price of the hotel

Step-by-step explanation:

Given

[tex]b = 130[/tex] --- slope

[tex]a = -350[/tex] --- y intercept

Solving (a): The equation of the regression line.

The general form of the equation of the regression line is:

[tex]y = bx + a\\[/tex]

Substitute values for b and a;

[tex]y = 130x + (-350)[/tex]

Remove bracket

[tex]y = 130x -350[/tex]

Solving (b): What y represents

From the question, we understand that: y stands for price

Hence, the symbol y represents the price of a hotel. The value of y  depends on x (the ratings)

Answer:

B

Step-by-step explanation:

y-intercept is where x is zero, so we must look at where the y-iterceot is crossed

Answer:

y = 2/3x + 5

Step-by-step explanation:

Hope this helps! :)

Answer:

0.0283642

Step-by-step explanation:

Number of uppercase letters = 26

Number of lowercas = 26 alphabets = 10

Number of password characters = 10

Hence total number of passwords with exactly 10 characters (26 + 26 + 10) ^10 = 62^10 = 839299365868340224 passwords

Password with 10 strings, and having atleast one upper, lower and digit character :

26^1 * 26^1 * 10^1 * (26+26+10)^7 = 23806114737966080 (1 upper, lower and digit character, the remaining 7 could be any of them)

Probability = required outcome / Total possible outcomes

P(password with atleast 1 upper, lower and digit character) = 23806114737966080 / 839299365868340224

= 0.0283642

Answer:

A triangle similar to DEF will have an angle that measures 45 degrees, an angle that measures 65 degrees, and an angle that measures 70 degrees​

Step-by-step explanation:

Given

See attachment for complete question

Required

Angles of a triangle similar to [tex]\triangle DE F[/tex]

First, calculate the angle at D

[tex]D + 110^o = 180^o[/tex] ---- angle on a straight line

Collect like terms

[tex]D = 180^o - 110^o[/tex]

[tex]D = 70^o[/tex]

Next, calculate the angle at F

[tex]F + 135^o = 180^o[/tex] ---- angle on a straight line

Collect like terms

[tex]F = 180^o -135^o[/tex]

[tex]F = 45^o[/tex]

Lastly, the angle at E

[tex]D + E + F = 180^o[/tex] --- angles in a triangle

Make E the subject

[tex]E = 180^o - D - F[/tex]

[tex]E = 180^o - 70^o - 45^o[/tex]

[tex]E = 65^o[/tex]

A triangle similar to [tex]\triangle DE F[/tex] will have 45, 70 and 65 degrees as its angles

Answer:

Your answer would be D

Step-by-step explanation:

Answer:

Hello!

Here are the coordinates and a picture example!

Original coordinates: -3, -5

New coordinates: 3, -5

Hope that helps!

Answer:

The inverse of the function is [tex]f^{-1}(x) = \sqrt[3]{\frac{x-16}{8}}[/tex]

Step-by-step explanation:

Inverse of a function:

Suppose we have a function y = g(x). To find the inverse, we exchange the values of x and y, and then isolate y.

In this question:

[tex]y = \frac{x^3}{8} + 16[/tex]

Exchanging x and y:

[tex]x = \frac{y^3}{8} + 16[/tex]

[tex]\frac{y^3}{8} = x - 16[/tex]

[tex]y^3 = \frac{x-16}{8}[/tex]

[tex]y = \sqrt[3]{\frac{x-16}{8}}[/tex]

The inverse of the function is [tex]f^{-1}(x) = \sqrt[3]{\frac{x-16}{8}}[/tex]

Answer:

16 inches

Step-by-step explanation:

Given,

Perimeter = 72 inches

Breadth = 20 inches

Perimeter = 2 ( L+B )

72 = 2 ( L+20)

72= 2L + 40

72-40=2L

32/2=L

L=16 inches

therefore , lenght of the tile is 16 inches

Answer:

216 cubic inches

Jena's large jewelry box is 132 inches³ bigger than her small cube jewelry box.

What is a cube?

A cube is a three dimensional figure. All of it's sides are equal in length and all the planes of it are perfect square.

Given, length of the each side of Jena's small jewelry box = 2 inches.

Therefore, the volume of the small jewelry box is = 2³ inches³ = 8 inches³.

Again, length of the each side of Jena's small jewelry box are 7 inches, 5 inches, and 4 inches.

Therefore, the volume of the small jewelry box is = (7 × 5 × 4) inches³ = 140 inches³.

Hence, the difference = (140 - 8) inches³ = 132 inches³.

Learn more about cube here: https://brainly.com/question/21270685

#Tag#SPJ2

Answer

Step-by-step explanation:

yes 20 feet long

The largest possible area for the play area would be 200 square feet when the width is 10 feet and the length is 20 feet. The smallest area she could have while using all 40 feet of fencing is 100 square feet.

To maximize the area of the play area, we can consider the dimensions that will allow for the largest possible rectangle. Let's denote the width of the play area as "w" (in feet) and the length as "l" (in feet).

Since one side of the play area is already taken care of by the house, we need to use the remaining 40 feet of fencing to enclose the other three sides.

We have two equal sides (width) and one side (length) that needs to be fenced.

Considering the given conditions:

The area needs to be at least 5 feet long and 5 feet wide.

The total length of the fencing is 40 feet.

Let's consider the possible scenarios:

Scenario 1: The width and length are both 5 feet.

In this case, the total length of the fencing required would be:

2 * 5 feet (width) + 5 feet (length) = 15 feet.

However, since we have 40 feet of fencing available, this scenario is not possible.

Scenario 2: The width is 10 feet, and the length is 20 feet.

In this case, the total length of the fencing required would be:

2 * 10 feet (width) + 20 feet (length) = 40 feet.

This scenario satisfies all the given conditions and uses all 40 feet of fencing. The area in this case would be:

Area = Width * Length = 10 feet * 20 feet = 200 square feet.

Therefore, the largest possible area for the play area would be 200 square feet when the width is 10 feet and the length is 20 feet.

As for the smallest area she could have while using all 40 feet of fencing, that would be when the play area is a square. Since all sides of a square are equal, the play area would be a square with sides of 10 feet each. The area in this case would be:

Area = Side * Side = 10 feet * 10 feet = 100 square feet.

So, the smallest area she could have while using all 40 feet of fencing is 100 square feet.

To know more about  largest possible area click here :

https://brainly.com/question/15705404

#SPJ2

Answer:

THISE IS YOUR ANS I HOPE IT IS HELPFULL

Answer:

  (f•g)(5)=   [tex]\frac{309}{44}[/tex]

Step-by-step explanation:

f(x) =1/2x + 7

g (x) = 6x -8

f(g(5))

f(22)=[tex]\frac{1}{2x}[/tex]+7

      = [tex]\frac{1}{44}[/tex]+7

      =[tex]\frac{309}{44}[/tex]

Answer:

C. 162.5 sq ft.

Step-by-step explanation:

Given the following data;

S.A of smaller cylinder, S1 = 65 ft²

Ratio = 2:5 = 2 + 5 = 7

Let the total surface area be x.

S1 = 2/7 * x = 65

S1 = 2x = 65 * 7

S1 = 2x = 455

x = 455/2

x = 227.5 ft²

To find the surface area of the larger cylinder;

S2 = 5/7 * 227.5

S2 = 1137.5/7

S2 = 162.5 ft²

Answer:

C

Step-by-step explanation:

The answer is c because when 2, -1 is plugged into the equation, you get

.5(2) - 2(-1) >/= 3

when solved -

1 + 2 >/= 3 -

3 >/= 3

and this is in the solution set because three is equal than or greater to three

Answer:

a. Nominal and qualitative.

b. Ratio and quantitative.

c. Interval and quantitative.

d. Interval and quantitative.

Step-by-step explanation:

A level of measurement can be defined as a classification which is used to illustrate the attributes of the values assigned to variables. There are four (4) basic levels of measurement for a variable and these are;

1. Interval: data can be arranged in an ordering scheme and subtracting its differences is meaningful. Examples are year, temperature, time etc.

2. Ratio: data can be arranged in an ordering scheme and subtracting its differences is meaningful with respect to the value of true zero. Examples are height, price, weight, distance etc.

3. Ordinal: data can be arranged in an ordering scheme but subtracting its differences is meaningless or impossible. Examples are happy, sad etc.

4. Nominal: is characterized by data that are non-numerical, comprises of categories, labels or names and can't be arranged in an ordering scheme.

In this scenario, the level of measurement and data type are listed below;

a. End-of-year stock classification (high yield, medium yield, or low yield): the level of measurement is nominal because they are categorized. Also, the type of data is qualitative because it describes the quality of the stock and it's non-numerical in nature.

b. Length (in feet) of a roll of plastic wrap advertised to be 30 feet long: the level of measurement is a ratio because they can be arranged in order. Also, it's a quantitative data because it is numerical in nature.

c. Temperature (in degrees Celsius): the level of measurement is an interval because they can be arranged in order and the difference in value is meaningful. Also, the type of data is quantitative because it is numerical in nature.

d. Duration (in minutes) of a call to a customer support line: the level of measurement is an interval because they can be arranged in order and the difference in value is meaningful. Also, the type of data is quantitative because it is numerical in nature.

Answer:

3⁷ × 1/3⁴

Step-by-step explanation:

3⁷ × 3¯⁴

The above expression can be simplified as follow:

3⁷ × 3¯⁴

Recall,

a¯ⁿ = 1/aⁿ

Thus,

3¯⁴ = 1/3⁴

Therefore,

3⁷ × 3¯⁴ = 3⁷ × 1/3⁴

Answer:

0.97725

Step-by-step explanation:

Given :

Population mean, μ = 4.2

Population standard deviation, σ = 1.8

Sample size, n = 36

Obtain the Zscore of x = 4.8

Zscore = (x - μ) ÷ (σ / √n)

Zscore = (4.8 - 4.2) ÷ (1.8 / √36)

Zscore = 0.6 ÷ 0.3

Z = 2

Hence,

P(Z ≤ 2)

Using the Z probability calculator :

P(Z ≤ 2) = 0.97725

Answer: 290 miles

Step-by-step explanation:

Given

Allison drove with a speed of 58 mph

Austin drove with a speed of 40 mph

If both start at the same time

suppose Allison takes t hours to reach the destination. So, the difference between the distance traveled in t hours is 90 miles

[tex]\Rightarrow 58t-40t=90\\\Rightarrow 18t=90\\\Rightarrow t=5\ hr[/tex]

Distance traveled by Allison is [tex]58\times 5=290\ miles[/tex]

Answer:

2496 cm sq.

Step-by-step explanation:

Length equals 52cm and Perimeter is 200cm.

Area = Length x Breadth (or Width).

To find the area we have to first find the breadth.

2 x (Length + Breadth) = Perimeter.

Substituting what's given in the question, we get:-

2 x ( 52 + Breadth) = 200

52 + Breadth = [tex]\frac{200}{2}[/tex]

52 + Breadth = 100

Breadth = 100 - 52

Breadth = 48cm.

So, Area equals-------->

Length x Breadth

= 52 x 48

Area = 2496 cm sq.

3.75 is the correct answer

In order to figure out the half-life, you divide to sample by 2. In order to find how many times to divide it you divide 15 by 3 and get 5. Therefore, you divide 120 by 2, 5 times and get 3.75

Answer:

Every day Dajuan will paint 14.5 square feet of the wall.

Step-by-step explanation:

Since Dajuan is painting a mural on a rectangular wall, which measures 14.5 feet long and 10 feet wide, and so far, his mural covers 60% of the wall, and Dajuan will paint the remaining part of the wall over the next four days, painting the same amount of the wall, in square feet, on each of those four days, to determine how much of the wall, in square feet, will Dajuan paint on each of the next four days, the following calculation must be performed:

((14.5 x 10) x 0.4) / 4 = X

(145 x 0.4) / 4 = X

58/4 = X

14.5 = X

Therefore, every day Dajuan will paint 14.5 square feet of the wall.

Answer:

A

Step-by-step explanation: