If a car travels 82 miles in 1.5 hours, how far will it travel in 6 hours

The value of the expressions are,

⇒ (q ο r ) (7) = 22

⇒ (r ο q ) (7) = 8

We have to given that,

Functions are defined as,

⇒ q (x) = x² + 6

⇒ r (x) = √x + 9

Now, We can formulate all the values as,

⇒ (q ο r ) (7)

⇒ q (r (7))

⇒ q (√7 + 9)

⇒ q (√16)

⇒ q (4)

⇒ (4² + 6)

⇒ 22

⇒ (r ο q ) (7)

⇒ r (q (7))

⇒ r (7² + 6)

⇒ r (55)

⇒ √55 + 9

⇒ √64

⇒ 8

Thus, The value of the expressions are,

⇒ (q ο r ) (7) = 22

⇒ (r ο q ) (7) = 8

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Answer:

179.59438

rounded to the nearest tenth would be 179.6

Step-by-step explanation:

use this formula

volume = (4/3) · π · r3

The inverse of g(x) is x² + 7

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

The inverse function is defined as a function obtained by reversing the given function.

To determine the inverse of a function, all you have to do is switch where x and y are and resolve for y.

We have to find the inverse of the function below :

g(x) = √(x-7)

So after switching x and y,

g(x) = y = √(x - 7)

becomes

x = √(y - 7)

Now, we solve for y regularly.

g(x) = y = √(x - 7)

Solve for y :

⇒ y² = x - 7

⇒ x² = y - 7

⇒ y = x² + 7

Therefore the inverse of g(x) is x² + 7

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this is the answer of the equation as a graph

The trigonometric equations has the following solutions: x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

In this problem we find the case of a trigonometric equation, whose solutions on the interval [0, 2π] must be found. This can be done by both algebra properties and trigonometric formulae. First, write the entire expression:

tan² x · sec² x + 2 · sec² x - tan² x = 2

Second, use trigonometric formulas to reduce the number of trigonometric functions:

tan² x · (tan² x + 1) + 2 · (tan² x + 1) - tan² x = 2

Third, expand the equation:

tan⁴ x + tan² x + 2 · tan² x + 2 - tan² x = 2

tan⁴ x + 2 · tan² x = 0

Fourth, factor the expression:

tan² x · (tan² x - 2) = 0

tan² x = 0 or tan² x = 2

tan x = 0 or tan x = ± √2

Fifth, determine the solutions to trigonometric equation:

x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

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Answer:

40, 15, 2.5

Step-by-step explanation:

If there are 10 kilos in 22 pounds, we have to divide Fido's weight by 22. 88/22 is 4 meaning there are four sets of 10 kilos making 40.

If 22 pounds is 1 kilogram, and half a kilogram is 11 pounds, we kmow thaat 22 + 11 equals 33.

Bella weighs one foruth or a quarter of 22. Meaning he is a quarter of 10 kilograms giving us 2.5

Answer:

1. The length is longer.

2. The length is longer.

Step-by-step explanation:

1. 7/10 = 0.70 > 0.67. Here, the length is greater than the width.

2. 9/10 of a yard is .9 * 36, or 32.4 inches. Here, the length is greater than the width.

Answer:0.03

Step-by-step explanation:

Answer:

0.03

Step-by-step explanation:

69200000 in scientific notation is  6.92 × 10⁷.

Scientific notation is a form of presenting very large numbers or very small numbers in a simpler form.

Scientific Notation is a special way of writing numbers:

For example 800 is written as 8 × 10² in Scientific Notation.

Therefore, let's write the scientific notation of the number 69200000.

Hence,

69, 200, 000 = 6.92 × 10⁷

The logic is that we will count backwards until we meet the last number. Since we counted towards the left side, the exponent will be positive.

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Answer:

4/420=105

Step-by-step explanation:

decompose 42 and divide by 4 is 10 and is 20 divided by 4 is 5

The value of n is 108°

The value of m is 36°

A quadrilateral is a plane figure that has four sides or edges, and also has four corners or vertices. The angles are present at the four vertices or corners of the quadrilateral.

It is formed by joining four non-collinear points. The sum of interior angles of quadrilaterals is always equal to 360 degrees.

How to find the angles.

We can find the value of n using the principle

72° + n = 180°

Collect like terms

n = 180° - 72°

n = 108°

Knowing that the sum of the angles n and angles 2m is equal to 180°, this will give us

2m + 108 = 180°

We collect like terms from here.

2m = 180° - 108

2m = 72°

m = 72/2

m = 36°

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PERIMETER

Answer:

Answer is 28 m

Step-by-step explanation:

Breadth= 2m

Length= 2X6m

= 12m

Perimeter of a rectangle = 2X (Length+ Breadth)

= 2X (2+12)

= 2X14

= 28m

AREA

Answer:

Answer is 24 m

Explanation:

Length= 12

Breadth= 2

Area of a rectangle= Length X Breadth

= 12X2

= 24 sq. m

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9514 1404 393

Answer:

  11.4

Step-by-step explanation:

Put the given coordinates in the distance formula and do the arithmetic.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((1 -(-8))² +(7 -0)²) = √(9² +7²) = √130

  d ≈ 11.4 . . . . units

The distance between the two points is about 11.4 units.

Answer:

C) neither. Both events are equally likely.

Step-by-step explanation:

Answer:

2 = 18, 3 = 73

Step-by-step explanation:

2) 22+140= 162

180-162= 18

x=18

(180 ‘cuz that’s the full angle of a triangle)

——————————————————————

3) the right angle is a 90 degree angle so

17+90=107

180-107=73

x=73

Answer:

Step-by-step explanation:

To find the slope you would get two points and then you'd use your slope formula. Which is y2-y1 over x2 - x1. The two points I got are (2, -2) and (-3,2), I got this points from the graph. I plugged them in for the x's and y's in the formula and had 2-(-2) on top and -3-2 at the bottom. When I solved the top one which is 2-(-2) I got positive 4. After I solved -3-2 which is in the denominator I got -5. So then I ended with 4/-5. I divided and got -0.8. meaning that 4/-5 or -0.8 is your slope.

(If wrong, I'm sorry might've gotten the points wrong/confused..)

Answer:

Let x be the number of additional outfits.

5 + x < 11

Answer:

The value of x is 124 and y is 44

Step-by-step explanation:

Angle ACF=180-80=80

Angle ACB=180-34-90=56

Angle BCF=80-56=44

Angle DCE=180-80-44=56

Angle ACD=360-180-56=124

Part 1: Finding slope

The slope is \(\frac{-3-15}{5-(-10)}=\frac{-18}{15}=\boxed{-\frac{6}{5}}\)

Part 2: Finding the equation

Using the point (-10, 15) to substitute into point-slope form,

\(y-15=-\frac{6}{5}(x+10)\\\\y-15=-\frac{6}{5}x-12\\\\\boxed{y=-\frac{6}{5}x+3}\)

Answer:

Using the given points we find that the slope is -1.2 and using the slope-point form we find that the equation of line is y+1.2x = 3.

Step-by-step explanation:

In the question, two points are given, (5,-3) and (-10,15). Using them we can find the slope using the formula, (y2 - y1) / (x2 - x1). So, the slope is

(-3-15) / (5+10) = -18 / 15 = -1.2

Now, we have to find the equation of line. We have two points and a slope. Using any one point and the slope, we can find the equation of line using slope-point form of line. Let us take (5,-3).

(y+3) / (x-5) = -1.2

y+3 = -1.2(x-5)

y+3 = -1.2x + 6

y+1.2x = 3

So, the slope of line is -1.2 and the equation of line is y+1.2x = 3.

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Answer:

2 1 ÷ 2

Step-by-step explanation:

Given that

The kitchen of Amita would be a rectangular area contains 3 and 3 ÷ 4 square meters

And, the width of her kitchen is 1 and 1 ÷ 2 meter

So based on the above information, the length of Amita kitchen is

Here you divide the rectangular area by the width

= (3 and 3 ÷ 4) ÷ (1 and 1 ÷ 2)

= 2 and 1 ÷ 2

Hence, the  length in meters of Anita's kitchen is  2 and  1 ÷ 2  

In statistics, the risk of making an error is referred to as a significance level. A significance level represents the probability of making a Type I error, which occurs when a null hypothesis is rejected even though it is true.

The most common significance level used in statistical analyses is 0.05 or 5%. This means that there is a 5% chance of rejecting a true null hypothesis.

In general, the choice of significance level depends on the specific application and context of the statistical analysis.

The 5% significance level is commonly used in scientific research, particularly in the fields of medicine and psychology.

The choice of this level is based on a balance between the risk of making a Type I error and the risk of making a Type II error, which occurs when a null hypothesis is not rejected even though it is false.

A Type II error is often more serious than a Type I error since it may lead to incorrect conclusions about the relationship between variables or the effectiveness of a treatment or intervention.

A 5% significance level provides a reasonable balance between these two types of errors. However, in some situations, a higher or lower significance level may be more appropriate.

For example, in a clinical trial where the consequences of a Type II error are severe, a lower significance level may be used to reduce the risk of this type of error.

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Answer:

5x³y² - 2x²y³ - 7y²

Step-by-step explanation:

Step 1: Write expression

(3x³y² + 5x²y³ - 6y²) - (7x²y³ - 2x³y² + y²)

Step 2: Distribute negative

3x³y² + 5x²y³ - 6y² - 7x²y³ + 2x³y² - y²

Step 3: Combine like terms (x³y²)

5x³y² + 5x²y³ - 6y² - 7x²y³ - y²

Step 4: Combine like terms (x²y³)

5x³y² - 2x²y³ - 6y² - y²

Step 5: Combine like terms (y²)

5x³y² - 2x²y³ - 7y²

Answer:

50.75

Step-by-step explanation:

We have:

\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)

\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)

Answer:

70°

Step-by-step explanation:

Because line segment OB and OC are both straight lines, then the measure of angle fromed by this two segments is the same in different locations.