The mean life of a particular brand of light bulb is 1200 hours and the standard deviation is 75 hours. Tests show that the life of the bulb is approximately normally distributed. It can be concluded that approximately 68% of the bulbs will last between:_________

For the stated quadratic function the parabola opens up and is minimum.

The standard equation of parabola is -

For the stated equation;

y = x² + 6x -5

a = 1 > 0

Thus, graph opens upward and function is minimum.

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The complete question is-

Given the quadratic function, state whether the parabola opens up or down, and whether it has a maximum or minimum. y

y = x² + 6x -5

Answer:

Step-by-step explanation:

.In this case (16)2 / (6)2 or 7.1111The larger pizza has (7.1111)(610) calores

Answer:

To solve this problem, we first need to understand that the number of calories in a pizza doesn't depend on its diameter but on its area. The reason is simple: the more pizza there is, the more calories it contains. And the area of a pizza (or any circle) increases with the square of the radius.

The area of a circle is given by the formula πr^2, where r is the radius.

The 6-inch pizza has a radius of 3 inches, so its area is π(3^2) = 9π square inches.

The 16-inch pizza has a radius of 8 inches, so its area is π(8^2) = 64π square inches.

The 16-inch pizza is 64π/9π = 64/9 ≈ 7.11 times the area of the 6-inch pizza, and therefore should have roughly 7.11 times the calories, assuming the pizzas are made with the same proportions of ingredients.

So, the 16-inch pizza should have approximately 610 calories * 7.11 = 4337.1 calories.

If the 16-inch pizza is cut into 8 slices, each slice would have approximately 4337.1 calories / 8 = 542.14 calories.

Keep in mind this is an estimate as it assumes that the distribution of ingredients (and therefore the distribution of calories) is uniform across the pizza, which might not be the case in reality. But it gives a good first approximation.

Answer: 10

Step-by-step explanation:

Answer:

It is 10

Step by step:

20

- 10

__

10

The least amount of water was lost at Lake Stockton. It's best to choose C.

Given that,

Three lakes lost water. Lake Stockton lost 246, 3 hundredths of its water, Lake Parlor lost 85% of its water, and Lake Jensen lost \(\frac{5}{6}\) of its water.

Percentage is calculated by multiplying the ratio of a material's composition to the total composition of a material by 100.

Here, the percentage of each lake following the draught is equal, i.e.

Lake Jensen = \(\frac{5}{6}\) =83.33%

Lake Parlor =85%

Lake Stockton =\(\frac{246}{300}\)=82%

Therefore, from obtaining a fraction we got the least amount of water was lost at Lake Stockton. It's best to choose C.

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Answer: Lake Stockton

Please mark me brainliest!!!

a.

Answer:

1170cm^3

Step-by-step explanation:

Break it into two prisms. 5 x 9 x 15 and 11 x 3 x 15. Find the volume of each and add.

(5 x 9 x 15) + (11 x 3 x 15)

675 + 495

1170cm^3

b.

Answer:

846cm^2

Step-by-step explanation:

Add each side's area together.

(9x15) + (5x15) + (6x15) + (3x15) + (12x15) + (11x15) + (5x9) + (5x9) + (11x3) + (11x3)

135 + 75 + 90 + 45 + 180 + 165 + 45 + 45 + 33 + 33

846 cm^2

Answer:

(a)1170 cm^3

(b)846 cm^2

Step-by-step explanation:

(a) Rectangle #1= 11 x 3 = 33 cm^2

Rectangle #2 = 5 x 9 = 45 cm^2

Volume = 45 + 33 = 78 x 15 = 1170 cm^3

(b) First find the surface are of all 8 faces in the prism and then add them all.

1st face = (11 x 3) + (5 x 9 ) = 33 + 45 = 78 cm^2

2nd face = (11 x 3) + (5 x 9 ) = 33 + 45 = 78 cm^2

3rd face = 15 x 3 = 45 cm^2

4th face = 15 x 6 = 90 cm^2

5th face = 15 x 9 = 135 cm^2

6th face = 15 x 5 = 75 cm^2

7th face = 15 x 12 = 180 cm^2

8th face = 15 x 11 = 165 cm^2

1st + 2nd + 3rd +4th + 5th+ 6th + 7th + 8th = 846 cm^2

Hope this helps!

Answer:

A

Step-by-step explanation:

A

Answer:

Q9 -  Option 1---- A -  15.6 Square Units

Q10 --Option --- (B) RECTANGLE

Step-by-step explanation:

Q9 --

we know area of triangle  = 1/2 ab sin theta

Where theta is the angle included between sides A and side B

A  = 5.2

B = 7

theta  = 121 degrees

1/2 * 5.2 * 7 * sin 121 degrees = 15.6 Square Units

Conclusion

The area of the triangle is 15.6 Square Units

Option --- (B) RECTANGLE

Hope this helps!

9514 1404 393

Answer:

  (x +3) -14

Step-by-step explanation:

The total of a number and 3 will be represented by (x +3). Fourteen less than that is ...

  (x +3) -14  or  -14 +(x +3)

Answer:

The amount of gross profit earned by Abbey Co. on the above transactions is $7,554.00

Step-by-step explanation:

What is the gross profit of Abbey Co?

Note that after sales of goods of $29,300 whose cost is $20,510 to Gomez Co, Gomez returned goods whose selling price is $2,500 and cost originally $1,800 to Abbey Co.

The implication of such goods returned is that $2,500 would be deducted from selling price and $1,800 would be deducted from cost of goods sold.

selling price=$29,300-$2,500

selling price=$26,800.00

cost of goods sold=$20,510-$1,800

cost of goods sold=$18,710.00

Note again that Gomez paid the invoice within the discount period, which means that net sales is the selling price of $26,800.00  minus 2% discount(2/15 means a discount of 2% is available if credit sales is settled in cash within the first 15 days of making sales0

net sales=$26,800.00*(1-2%)

net sales=$26,264.00

The gross profit is net sales minus the cost of goods sold

gross profit= $26,264.00-$18,710.00

gross profit=$7,554.00

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Answer: Sam was 2.5 Km far from his house

Step-by-step explanation:

Sam's parents gave him a map to reach his house.

As per Map Sam was =1.5cm from his home.

To find actual distance from house

If we consider actual distance  of sam house =X

We have,

If each 3 cm on scale drawing equals 5 km

We know on map 3cm  = 5Km

If 1.5 cm = X Km

We need to cross multiple

 3X =1.5 × 5

 3X = 7.5

X= 7.5÷3

X= 2.5 Km

Sam was 2.5 Km far from his house.

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Answer:

n = -34

Step-by-step explanation:

[] The underlined portion is turned into a mathematical equation in the next line

-> n will represent "a number"

The sum of twelve and half of a number is -5

12 + and half of a number is -5

12 + \(\frac{n}{2}\) is -5

12 + \(\frac{n}{2}\) = -5

[] Now that we have a mathematical equation, we can solve for n

-> Given

12 + \(\frac{n}{2}\) = -5

-> Multiply both sides of the equation by 2

24 + n = -10

-> Subtract 24 from both sides

n = -34

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

4

Step-by-step explanation:

$80.00 - $24.75 = $55.25

$55.25 ÷ $12.50 = 4 Shirts!

Answer:

The first coupon with $550 off

Step-by-step explanation:

773.50-550= 223.5 (first coupon)

773.50×(100%-70%)=232.05(second coupon)

232.05>223.5

first one will save more money

Direct distance from the base of the Space Needle to Kasie's house = 1429 feet.

The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line. It is basically used to get the distance of the two objects where the angles and an object's distance from the ground are known to us.

Given,

Height of the observation deck AB = 520 feet

Angle of depression = 70°

Distance of the Space needle base to house BC = ?

By the figure,

tan70° = AB/BC

BC = tan70°(AB)

BC = 2.7475(520)

BC = 1428.7 feet

Distance of the Space needle base to house to nearest foot = 1429 feet

Hence, 1429 feet is the distance between base of the Space Needle to Kasie's house.

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Solve- 55+0.50m = 66

          -55                 -55

            0.50m = 11

             0.50      0.50  cross out the 5´s

               m=22

The model best fits the given situation is exponential.

Option D is the correct answer.

We have,

The given situation describes a situation where the height of a tree is increasing at a constant rate (2 feet) per year.

This type of growth is typically modeled by an exponential function, where the variable (in this case, the number of years) is in the exponent.

In an exponential model, the quantity being measured (in this case, the height of the tree) grows or decays at an exponential rate over time.

Thus,

The model best fits the given situation is exponential.

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Answer:

with what?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Vertical angles are always congruent or equal

first when vertical angles are both 90 degrees , then vertical angles are supplementary and vertical

Answer: x=±2/3

Step-by-step explanation:

The first thing we want to do is isolate the variable, x² in this case.

We can divide both sides by 9 which yields the equation x²=\(\frac{4}{9}\).

Then we can take the square root of both sides, x=2/3.

Note: When the exponent is an even number both positive and negative x values will yield the same positive answer, so x=±2/3

Answer:

2.52= x

Step-by-step explanation:

Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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Answer:

Hope this helps.

The dimensions of the island on the blueprint are 14 inches by 3.5 inches.

We have,

The actual dimensions of the island are 3 1/2 feet by 1 3/4 feet.

We need to find the dimensions of the island on the blueprint, given that the scale of the blueprint is 1 inch = 2 feet.

To convert the actual dimensions to the dimensions on the blueprint, we need to use the scale factor of 1 inch = 2 feet.

We can set up a proportion to relate the actual dimensions to the dimensions on the blueprint:

Actual dimension/blueprint dimension = scale factor

Let x be the length of the island on the blueprint.

Then we can set up the following proportion:

3.5 feet / (1.75 feet)

= x inches / 7 inches

Simplifying,

2 = x / 7

Multiplying both sides by 7, we get:

x = 14 inches

The length of the island on the blueprint is 14 inches.

Similarly, we can find the width of the island on the blueprint:

1.75 feet / 3.5 feet

= y inches / 7 inches

Simplifying, we have:

0.5 = y / 7

Multiplying both sides by 7, we get:

y = 3.5 inches

The width of the island on the blueprint is 3.5 inches.

Thus,

The dimensions of the island on the blueprint are 14 inches by 3.5 inches.

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Answer:

Step-by-step explanation:

Point: 10,-9

k=-2

y=-2x+b

So: 9, -7

8,-5

7,-3

6,-1

5,1

4,3

3,5

2,7

1,9

0,11

y=-2x+11

Answer:

y + 9 = - 2(x - 10)

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = - 2 and (a, b ) = (10, - 9 ) , then

y - (- 9) = - 2(x - 10) , that is

y + 9 = - 2(x - 10)

Option D. The mountainous geography of Athens influence the economy as The people of Athens relied on sea trade.

Greece's rugged terrain caused some areas, particularly Athens, to become dependent on trade. Many Greeks went on to become seafaring tradesmen and merchants. Greeks engaged in trade with other Mediterranean people for pottery, wine, and olive oil. They communicated with the outside world by sailing to neighboring islands.

The geography of the area influenced the ancient Greeks' political system and way of life. Mountains, seas, and islands formed natural barriers between the Greek city-states, forcing the Greeks to relocate to coastal areas.

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Answer:

b. 5 meters

Step-by-step explanation:

1 meter = 1000 millimeters

5 meter = 5000 millimeters

Which is longer 5 meters or 400 millimeters?

5000 > 400

So, the answer is b. 5 meters.

The reasons for the steps are given below.

The value of x is -4.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 7 is an equation.

We have,

-2(4x + 3) = 26

[ The distributive property of multiplication over addition ]

-2(4x) + -2(3) = 26

-8x - 6 = 26

[ Adding 6 on both sides ]

-8x - 6 + 6 = 26 + 6

-8x = 32

[ Divide -8 into both sides ]

-8x/-8 = 32/-8

x = -4

Thus,

The reasons for the steps are given above.

x = -4

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All real numbers greater than 5 can be expressed in interval notation as:

(5, ∞)

Interval notation is a way of representing an interval on a number line. Simply, it is a method of writing subsets of the real number line.

All real numbers greater than 5 can be expressed in interval notation as:

(5, ∞)

Where the round bracket "(" means 5 is not included in the interval, and the infinity symbol "∞" means the interval continues indefinitely to the right.

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Answer:

\(59/140\)

Step-by-step explanation:

Answer:

\(\frac{59}{140}\)

Step-by-step explanation:

\(\frac{5}{14} = \frac{50}{140}\)

\(\frac{1}{10} = \frac{14}{140}\)

\(\frac{1}{28} = \frac{5}{140}\)

\(\frac{50}{140} +\frac{14}{140} -\frac{5}{140} = \frac{64}{140} - \frac{5}{140} = \frac{59}{140}\)

¡Espero que esto ayude!

Answer:

Ximena can use 1 gigabytes of data

Step-by-step explanation:

The first thing you want to do is subtract

51.10 - 44.50 =  5.6

5.6 is the amount of money she will have to spend on data

With each gigabyte costing 4 dollars and only 5 dollars to spend

she can only use one gigabyte