root 2+ root 32+ root 64​

Answer:

\(\frac{8}{x}\)

Step-by-step explanation:

what is the sum 3/x+9+5/x-9

\(\frac{3}{x} + 9 + \frac{5}{x} - 9 =\)     (add \(\frac{3}{x}\) and \(\frac{5}{x}\))

\(\frac{8}{x} + 9 - 9 =\)            (solve 9 - 9 = 0)

\(\frac{8}{x}\)                           ( your answer)

Answer:

Step-by-step explanation:

2x + 3y = -12

-x - 3y = 18

x = 6

-6 - 3y = 18

-3y = 24

y = -8

(6, -8)

The solution of the system by using the elimination method is (6, -8).

An equation says that two things are equal. It will have an equals sign "="

How to solve it?

We have,

2x + 3y = -12

-x - 3y = 18

x = 6

Now,

-6 - 3y = 18

-3y = 24

y = -8

We got the solution:

(6, -8)

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1. Table 4 values shows a Linear function.

2. 6 seconds faster were the runner in Group 2 than runners in Group 1.

Linear function are those which are in the form of f(x) = x ( here the line is passing through the origin )

Also Linear function can be in the form of y = mx + c where 'm' is the slope of the given line and 'c' is constant.

1. In the table 4 we conclude that:

y = f(x)

f(2) = 4         -------- point is ( 2, 4)

f(4) = 6         -------- point is ( 4, 6)

f(6) = 8         -------- point is ( 6, 8)

f(8) = 10        -------- point is ( 8, 10)

for the points to be in a line their slope must be equal:

Slope of line from point (2, 4) and (4, 6):

Slope = ( y2 - y1 )/ (x2 - x1)

Slope = ( 6 - 4 )/(4-2)

Slope = 2/2 = 1

Similarly,

Slope of line from point (4, 6) and (6, 8):

Slope = ( 8- 6 )/(6-4)

Slope = 1

Same as for points (6, 8) and (8,10)

Slope = 1

here the slop of the all points are same, so they lie on a single line and forms a linear equation in form of y = mx + c.

Hence, Table 4 values shows a Linear function.

2.  Here we have given the data:

For group 1: 55 68 64 66 70

For group 2: 56 58 59 61 57

Average or Geometric mean :

Sum of all the observation / number of observation

Average for Group 1 = ( 55 + 68 +64 +66 + 70)/5

Average for Group 1 = 64.6

Average for Group 2 = (56 + 58 + 59 + 61 +  57)/5

Average for Group 2 = 58.2

Difference between the Average of group 1 and group 2: 6.4.

in whole number 6 seconds.

Hence,

6 seconds faster were the runner in Group 2 than the runners in Group 1.

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The population standard deviation representing the number of hours spend by the employees on work related activities in a typical week for 88% confidence interval is equal to  [ 46.862 , 50.138 ].

Mean '\(\bar{x}\)' = 48.5 hours

Standard deviation 'σ' = 7.5 hours

Confidence interval = 88%

Level of significance = 100 - 88%

                                  = 12%

                                  = 0.12

Z-score at 88% confidence interval = 1.56

sample size 'n' = 51

Population standard deviation

= \(\bar{x}\) ± \(Z_{\alpha /2}\) (σ / √n )

= 48.5 ± 1.56 ( 7.5 / √51 )

=  48.5 ± 1.56 ( 7.5 / 7.14)

= 48.5 ± 1.56 ( 1.05 )

= 48.5 ± 1.638

= [ 46.862 , 50.138 ]

Therefore, the number of hours spend on work related activities in a typical week given by population standard deviation is equal to                [ 46.862 , 50.138 ].

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Answer:

120 degrees

Step-by-step explanation:

Rsm right?

Answer: x=4

Step-by-step explanation:

Simplifying

(14x + -15) + 139 = 180

Reorder the terms:

(-15 + 14x) + 139 = 180

Remove parenthesis around (-15 + 14x)

-15 + 14x + 139 = 180

Reorder the terms:

-15 + 139 + 14x = 180

Combine like terms: -15 + 139 = 124

124 + 14x = 180

Solving

124 + 14x = 180

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-124' to each side of the equation.

124 + -124 + 14x = 180 + -124

Combine like terms: 124 + -124 = 0

0 + 14x = 180 + -124

14x = 180 + -124

Combine like terms: 180 + -124 = 56

14x = 56

Divide each side by '14'.

x = 4

Simplifying

x = 4

Answer:

The negation is the OPPOSITE of whatever is said, so in this case, the opposite of "Not all rooms at the hotel have a bed." would be D "All rooms at the hotel have a bed" and A "No room at the hotel has a bed"

The correct answers are A and D

Let me know if this helps!

Answer:

a. no because it states that no rooms have a bed when it states not all rooms at the hotel have a bed

b. yes because while its true some rooms dont have a bed other rooms will

c. yes again some rooms do have a bed and some dont

d. no because we have already established that only some rooms have beds not all

hope this helps

Step-by-step explanation:

The y-intercept of the line of best fit is -5.18cm and it is showing the initial height of the plant immediately it was planted and it is not reasonable because it shows a negative height

The general form of the equation of a line in slope intercept form is expressed as;

y = mx + c

where;

m is slope

c is y-intercept.

Now, we are given the equation of the line of best fit as;

y = 0.404x - 5.18

where;

y represents the height of the plant above ground level.

x represents the number of days since it was planted.

a) From the given equation, we see that the slope is; m = 0.404 and that the y intercept is -5.18.

Now, what the y-intercept means is that the height of the plant is 5.18 cm below the ground and this is not reasonable.

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The top part is the areas of the rooms in feet. You need to find the inches instead. Multiply them by 12.

20 x 12

20 x 12= 240

12 x 12=144

So the first one will be:

240 x 144

Second:

96 x 96

Third:

96 x 114

Fourth:

240 x 196

Fifth:

240 x 240

Sixth:

120 x 240

Here is Answer

Please Mark me brainlets

Answer:

Probability is    13/14   or   0.929

Step-by-step explanation:

Data :

  Total tickets = 350

Cash prizes  = 25

Formula for probability is

   Probability = outcomes/sample space

                   P  =  25/350  = 1/14 = 0.0714285714285

This is the probability of  wining prizes

In order to find not wining probability ,minus the answer from 1 (one) because the ma imum probability a sample has is 1.

  So

        1-1/14 =   (14-1)/14  = 13/14 = 0.9285714285714

Mark brainliest if you understand

Answer:

arithmetic sequence formula: first term + (n - 1)common difference

9 + (n - 1)-2

9 + -2n + 2

= -2n + 11

The average score of the spelling test is 90.6%

To find the average score of the test, we need to add up all the scores and divide by the total number of students. We can think of the average score as the "typical" or "representative" score of the entire class.

First, let's add up all the scores:

2(100) + 9(95) + 10(90) + 3(80) + 1(70) = 200 + 855 + 900 + 240 + 70 = 2265

Next, we divide by the total number of students:

Average score = (2 + 9 + 10 + 3 + 1) / 25 * 100% = 25 / 25 * 100% = 90.6%

Therefore, the average score of the spelling test is 90.6% when rounded to one decimal place.

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Answer:

n+3

Step-by-step explanation:

1/2 × 2(n+3)=n +3

I hope this helps

The total distance travelled by Kyle is 210 m.

Pythagoras theorem states that in a right angled triangle, the sum of the squares of the perpendicular and base is equal to the square of the hypotenuse. It can be written as h² = p² + b².

The given length of the field is 84 m.

And, the width is 35 m.

Now, the diagonal of the field can be calculated using Pythagoras theorem as below,

Diagonal = √((84)² +(35)²)

               = 91

Then, the total length is found by summing the length, width and the diagonal as below,

= 84 + 35 + 91

= 210

Hence, Kyle run for the distance of 210 m.

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Answer:

\( \frac {x}{3} + 6 = 8 \)

Step-by-step explanation:

Let the unknown number be x.

Quotient simply means to divide a number by another number without any remainder.

For example, a quotient of 2 simply means that a number divided by 5 would have a value that is equal to 2 without any remainder; \( \frac {10}{5} = 2\)

Hence, translating the word problem in this scenario into an algebraic expression, we have;

\( \frac {x}{3} + 6 = 8 \)

Simplifying further, we have;

\( \frac {x}{3} = 8 - 6 \)

\( \frac {x}{3} = 2 \)

Cross-multiplying, we have;

x = 3 * 2

x = 6

Answer:

D.) The mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than or equal to 262,144.

Step-by-step explanation:

I don't even know, but yeah.

Answer:

D) the mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than or equal to 262,144

Step-by-step explanation:

Answer:

6.3 years

Step-by-step explanation:

Given

\(P = 22400\) --- initial value

\(r = 12\%\) -- rate

\(A = P(0.88)^t\) --- function

Required

Find t when \(A = 10000\)

We have: \(A = P(0.88)^t\)

Substitute: \(A = 10000\) and \(P = 22400\)

\(10000 = 22400 * 0.88^t\)

Divide both sides by 22400

\(0.4464 = 0.88^t\)

Take log of both sides

\(\log(0.4464) = \log(0.88^t)\)

Apply law of logarithm

\(\log(0.4464) = t\log(0.88)\)

Solve for t

\(t = \frac{\log(0.4464)}{\log(0.88)}\)

\(t = \frac{-0.3503}{-0.0555}\)

\(t = 6.31\)

\(t \approx 6.3\)

Answer:

7.5 cm²

Step-by-step explanation:

Dimensions of the large ∆:

\( base (b) = 3cm, height (h) = 9cm \)

\( Area = 0.5*b*h = 0.5*3*9 = 13.5 cm^2 \)

Dimensions of the small ∆:

\( base (b) = 2cm, height (h) = 6cm \)

\( Area = 0.5*b*h = 0.5*2*6 = 6 cm^2 \)

Difference between the area of the large and the small ∆ = 13.5 - 6 = 7.5 cm²

Step-by-step explanation:

there is something severely wrong with the problem definition.

when the Hypotenuse = 9, there is no 30-60-90 triangle with a leg = 6.

and when we are just focusing that this is a right-angled triangle with the Hypotenuse = 9, then 6 cannot be the longer leg.

it is also not clear what the solution is supposed to be. the 2nd leg ? the area ? the perimeter ? the height(s) ? ...

what ?

so, all I can do here is to show you why I said what I said :

30-60-90 triangle with Hypotenuse = 9

then the longer leg is opposite of the 60° angle and therefore sin(60)×9 = 7.794228634...

the shorter leg is opposite of the 30° angle and therefore sin(30)×9 = 0.5×9 = 4.5

a right-angled triangle with Hypotenuse = 9, one leg = 6 gives us per Pythagoras for the other leg

9² = 6² + leg²

81 = 36 + leg²

45 = leg²

leg = sqrt(45) = 6.708203932...

so, you see, as stated above, there is no leg with the length 6 in such a 30-60-90 triangle.

and in a more general right-angled triangle, if one leg = 6, then the other leg is actually longer.

therefore, there is everything wrong with the problem definition.

This question is not complete, the complete question is;

When confronted with an in-flight medical emergency, pilots and crew can consult staff physicians at a global response center located in Arizona. If the global response center is called, there is a 4.8 percent chance that the flight will be diverted for an immediate landing. Suppose the response center is called 8,465 times in a given year.

a) What is the expected number of diversions

b) What is the probability of at least 400 diversions

c) What is the probability of fewer than 450 diversions?

Answer:

a) expected number of diversions μ is 406.32

b) the probability of at least 400 diversions is 0.6368

c) the probability of fewer than 450 diversions is 0.9861

Step-by-step explanation:

Given the data in the question;

n = 8465

π = 4.8% = 0.048

so expected number of diversions μ = nπ = 8465 × 0.048 = 406.32

and

σ = √(π(1 - π ) = √(8465 × 0.048(1 - 0.048 ) = √( 406.32 × 0.952 )

σ = √386.81664

σ = 19.6677

b) the probability of at least 400 diversions

P(at least 400 diversion ) = P( X ≥ 400 )

= P( X ≥ 399.5 )

so

z = (X - μ) / σ

we substitute

z = (399.5 - 406.32 ) / 19.6677

z = -6.82 / 19.6677

z = -0.35

so

P(Z > -0.35 ) = 0.500 + p( -0.35 ≤ z ≤ 0 )

= 0.5000 + p( 0 ≤ z ≤ 0.35 )

= 0.5000 + 0.1368

= 0.6368

Therefore, the probability of at least 400 diversions is 0.6368

c)  the probability of fewer than 450 diversions

P(fewer than 450 diversion ) = P( X ≤ 450 )

= P( X ≤ 449.5 )

so

z = (X - μ) / σ

we substitute

z = (449.5 - 406.32 ) / 19.6677

z = 43.18 / 19.6677

z = 2.20

so

P(Z ≤ 2.20 ) = 0.500 + p( 0 ≤ z ≤ 2.20 )

= 0.5000 + 0.4861

= 0.9861

Therefore, the probability of fewer than 450 diversions is 0.9861

Answer:

change 290 grams to pounds= 0.639 pounds

change 87 grams to ounces= 3.069 ounces

change 1,038 mph to feet per second= 1522.4 feet per second

change 65 miles per hour to kilometers per hour

= 104.607 kilometers per hour

Hope this helps.

Answer:

∠ BDC = 29°

Step-by-step explanation:

the sides of a rhombus are congruent, so CD = ED and Δ EDC is therefore isosceles with base angles congruent , then

∠ BCD = ∠ BED = 61°

• the diagonals are perpendicular bisectors of each other , then

∠ CBD = 90°

the sum of the 3 angles in Δ BCD = 180°

∠ BDC + ∠ CBD + ∠ BCD = 180°

∠ BDC + 90° + 61° = 180°

∠ BDC + 151° = 180° ( subtract 151° from both sides )

∠ BDC = 29°

Step-by-step explanation:

3x+6+9x-12+6x-3=180

15x-9=180

x-9=12

x=21

The equations are y = 30x + 13 and y = 28x + 15. And the charge less for cleaning 4 mattresses is $127 given by company B. Then the amount of money saved to clean 7 mattresses is $22.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Let 'x' be the number of mattresses and 'y' be the total cost. Then the equations are given as,

Company A: y = 30x + 13

Company B: y = 28x + 15

The amount for x = 4 is given as,

Company A: y = 30 (4) + 13 = $133

Company B: y = 28 (4) + 15 = $127

The amount for x = 4 is given as,

Company A: y = 30 (7) + 13 = $223

Company B: y = 28 (7) + 15 = $211

Then the amount of money saved is given as,

⇒ $233 - $211

⇒ $22

The amount of money saved to clean 7 mattresses is $22.

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Answer:

Step-by-step explanation:

No explanation is needed because there is no question.

Answer:

you got it

Step-by-step explanation:

no explanation needed

The perimeter of the triangle is 23x + 17.

Perimeter is simply the sum of all sides of a polygon.

Given the sides of the triangle;

Side one = 10x + 19

Side two = 12x - 2

Side three = x

To find the perimeter, we add the sides

Perimeter = Side one + Side two + side three

Perimeter = 10x + 19 + 12x - 2 + x

Collect and add like terms

Perimeter = 10x + 12x + x - 2 + 19

Perimeter = 23x - 2 + 19

Perimeter = 23x + 17

Therefore, the perimeter is 23x + 17.

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Answer:

\(r=-3/5=-0.6\)

Step-by-step explanation:

We have the equation:

\(6^{-3r}=6^{2r+3}\)

Since their bases are the same, the exponents must be equivalent. So:

\(-3r=2r+3\)

Solve for r, subtract 2r from both sides:

\(-5r=3\)

Divide both sides by -5:

\(r=-3/5=-0.6\)

So, the value of r is -3/5.

And we're done!

Answer: See below

Step-by-step explanation:

1. For this first pair, we want to find f(g(x)) and g(f(x)). Seeing this may be intimidating and confusing, but as long as you are clear on what you are plugging in, it won't be as confusing.

f(g(x)) means you are plugging the function g(x) into every x in f(x). So, every time you see an x in f(x), you plug in g(x).

\(f(g(x))=\frac{1}{(\frac{7}{x}+6 )-6}\)

\(f(g(x))=\frac{1}{\frac{7}{x} } =\frac{x}{7}\)

f(g(x))=x/7

g(f(x)) means you are plugging the function f(x) into every x in g(x). So, every time you see an x in g(x), you plug in f(x).

\(g(f(x))=\frac{7}{\frac{1}{x-6} } +6\)

\(g(f(x))=7(x-6)+6=7x-42+6=7x-36\)

g(f(x))=7x-36

2. This pair applies the same rules as above. To make this response not too long, I won't repeat the explanation from above. I will directly write the steps.

\(f(g(x))=(\sqrt{x+2} )^2+1\)

\(f(g(x))=x+2+1=x+3\)

f(g(x))=x+3

\(g(f(x))=\sqrt{x^{2}+1+2 }\)

\(g(f(x))=\sqrt{x^2+3}\)

g(f(x))=√(x²+3)

Answer:

15,872 mm³

Step-by-step explanation:

given:

A small square pyramid of height 6 cm was removed from the top of a large square pyramid of height 12cm forming the solid shown.

Find:

the exact volume of the solid

solution:

volume of square base pyramid = (base area)² * h/3

where total h = 12 cm

height of top pyramid (ht)= 6 cm

height of bottom pyramid (hb) = 6 cm

bottom volume =  total volume - the volume on top

so,

total volume = 1/3 (base area)² h

                     = 1/3 (8*8)² * 12

                     = 16,384 mm³

volume on top = 1/3 (top base area)² h

                         = 1/3 (4*4)² * 6

                         = 512 mm³

finally: get the bottom volume:

bottom volume =  total volume - the volume on top

bot. vol = 16,384 mm³ - 512 mm³

             = 15,872 mm³

therefore,

the volume of the cut  pyramid base = 15,872 mm³

Answer:

15,872 mm³

Step-by-step explanation:

bottom volume =  total volume - the volume on top

total volume = 1/3 (base area)² h

                     = 1/3 (8*8)² * 12

                     = 16,384 mm³

volume on top = 1/3 (top base area)² h

                         = 1/3 (4*4)² * 6

                         = 512 mm³

bot. vol = 16,384 mm³ - 512 mm³  = 15,872 mm³

Answer:

Step-by-step explanation:

$2.12 - $1.65 = $0.47
$0.47 x 65 = $30.55 profit.

This is an exercise in the formula to calculate the profits obtained from the sale of a product, it is an essential tool in the management of any business. By knowing the profits obtained from the sale of a product, business owners and managers can make informed decisions and adjust their business strategies to maximize their profitability.

Profit is calculated by subtracting the total costs of production from the total revenue earned from the sale of a product. Total production costs include not only the direct costs associated with manufacturing the product, but also indirect costs, such as advertising and marketing costs, the cost of packaging materials, and other overhead.

The total income obtained from the sale of a product is the product of the number of units sold by the sale price per unit. It is important to remember that the selling price per unit must be sufficient to cover both the direct and indirect costs of production, and to provide a reasonable profit.

Once the profit earned from the sale of a product has been calculated, business owners and managers can use this information to improve their profitability. If profits are low, they might consider lowering production costs, raising the selling price, or finding ways to sell more units. On the other hand, if profits are high, they might consider increasing their investment in advertising and marketing to attract more customers and expand their business.

In addition, profit calculation can also help business owners and managers assess the feasibility of launching a new product or expanding into new markets. By calculating total production costs and potential total revenue, they can determine if the new product or market is profitable and make informed decisions about whether to proceed with the launch or expansion.

The total cost of making the handles is the product of the number of handles times the cost per unit:

Total cost = 65 potholders × $1.65/potholder = $107.25

The total revenue from selling the handles is the product of the number of handles times the selling price per unit:

Total revenue = 65 potholders x $2.12/potholder = $137.8

Elmo's profit is the difference between total revenue and total cost:

Profit = Total Revenue - Total Cost

Profit = $137.8 - $107.25 = $30.55

Profit = $30.55