Find the reciprocal of -17/16

The reading that separates the rejected thermometers from the others is given as follows:

1.175 ºC.

The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation for this problem are given as follows:

\(\mu = 0, \sigma = 1\)

The 12% higher of temperatures are rejected, hence the 88th percentile is the value of interest, which is X when Z = 1.175.

Hence:

1.175 = X/1

X = 1.175 ºC.

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The Platonic solid that has twenty faces that are equilateral triangles is the Icosahedron. The correct option is C.

The Icosahedron is a three-dimensional shape and Platonic solid. It has 20 faces, all of which are equilateral triangles. The Icosahedron is made up of 12 vertices and 30 edges.

The Icosahedron is a fascinating shape with numerous applications in mathematics, science, and engineering.

Because the shape of the Icosahedron is a feature of many viral capsids, it is frequently used in virus modelling.

The Icosahedron can also be found in nature, such as in the structure of some bacteria and certain crystals.

The Icosahedron is a Platonic solid with twenty equilateral triangle faces. It has twenty faces, twelve vertices, and thirty edges in total.

Thus, the correct option is C.

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Answer:

The posters will be 1 foot away from each other

Step-by-step explanation:

The equation is right

The regression equation is y = 28.0 + 0.0510x.

The best predicted temperature at a time when the cricket chirps 3000 times in 1 minute, based on the regression equation is 181°F.

What is wrong with this predicted temperature: B. It is unrealistically high. The value 3000 is far outside of the range of observed values.

In this scenario, the chirps in 1 min would be plotted on the x-axis (x-coordinate) of the scatter plot while the temperature would be plotted on the y-axis (y-coordinate) of the scatter plot through the use of Microsoft Excel.

From the scatter plot (see attachment) which models the relationship between the chirps in 1 min and the temperature, a regression equation or an equation for the line of best fit is given by:

y = 28.0 + 0.0510x

When x = 3000, the temperature can be calculated as follows;

y = 28.0 + 0.0510(3000)

y = 181°F

In conclusion, a temperature of 181°F is unrealistically too high because a chirps of 3000 times in 1 min is an outlier.

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Answer:

29.

explantion: very simple um.

Answer:

32

Step-by-step explanation:

The number to the right of the decimal is higher than 5, meaning you would round up.

Answer:

432 cubic meters

Step-by-step explanation:

The volume formula is V = \(\frac{1}{2}\)blh

V = \(\frac{1}{2}\)(9)(16)(6)

V= 432 cubic meters

There are 56 milligrams in 8 milliliters of the drug if the drug's label says each milliliter contains 7 milligrams of the substance.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

Let x milligrams would in 8 ​milliliters.

We can write this as a ratio as

As per the given information,

1 milliliter  : 7 milligrams  = 8 milliliter   : x milligrams

⇒ 1 / 7 = 8 / x

⇒ x = 8 × 7

⇒ x = 56 milligrams

Hence, there are 56 milligrams in 8 ​milliliters of the drug.

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By performing the division, the jogging track is 0.45 miles long.

Division is a mathematical operation that involves the splitting of a quantity into equal parts or groups.

The problem asks us to convert a length of 792 yards to miles. To do this, we need to use a conversion factor to relate yards to miles. We know that there are 1760 yards in a mile, so we can use this relationship to convert the length in yards to miles.

To convert yards to miles, we divide the length in yards by the number of yards in a mile. This is because we want to cancel out the units of yards and be left with the corresponding number of miles.

So, 792 yards / 1760 yards/mile gives us the length of the jogging track in miles. We can simplify this expression by performing the division to get the result of 0.45 miles. Therefore, the jogging track is 0.45 miles long.

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Answer:

The answer is 4

Step-by-step explanation:

convert bot fractions into a decimal

4 1/2 = 4.5   1 1/8 = 1.125

4.5 divided by 1.125= 4

Answer:

pls ask the question in english pls i don't understand it

\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{-11})\hspace{10em} \stackrel{slope}{m} ~=~ 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-11)}=\stackrel{m}{ 4}(x-\stackrel{x_1}{(-3)}) \implies y +11 = 4 ( x +3) \\\\\\ y+11=4x+12\implies {\Large \begin{array}{llll} y=4x+1 \end{array}}\)

The equation is:

Work/explanation:

Recall that the point slope formula is \(\rm{y-y_1=m(x-x_1)}\),

where m is the slope and (x₁, y₁) is a point on the line.

Plug in the data:

\(\rm{y-(-11)=4(x-(-3)}\)

Simplify.

\(\rm{y+11=4(x+3)}\)

Simplified to slope intercept:

\(\rm{y+11=4x+12}\)

\(\rm{y=4x+1}\) <- this is the simplified slope intercept equation

Answer: C

Step-by-step explanation:

Point D is at -14 on the number line.

In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).

Since E is the midpoint of line segment CD, we can logically deduce the following relationship:

Line segment CD = Line segment C + Line segment D

Midpoint E = (point C + point D)/2

By substituting the given points into the equation above, we have the following:

-3 = (8 + D)/2

-6 = 8 + D

D = -6 - 8

D = -14

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The image of R after a reflection over the x-axis is the point S(-2, -1).

To reflect a point over the x-axis, we simply negate its y-coordinate while keeping its x-coordinate the same.

Starting with point R(-2, 1):

The x-coordinate remains the same: -2

The y-coordinate is negated: -1

So the image of R after a reflection over the x-axis is the point S(-2, -1).

To graph the reflection, we can plot the original point R and then draw a dashed line to represent the x-axis. Finally, we can plot the reflected point S on the other side of the x-axis.

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Answer:

im study about history it was my favourite subject!

The values for the dimensions of the open box are L = (30 - x)inches, W = (30 - x)inches, and H = (x)inches.

A cube is 3- dimensional shape with 6 equal sides, 6 faces, and 6 vertices. Each face of a cube is a square. In there dimension, the cube's sides are; the L = length, W = width, and H = height.

From question, squares of equal sides x are cut out of each corner of the metal sheet, hence the dimension for the height of the box is equal to x.

So; H = (x) inches,

L = (30 - x)inches, and

W = (30 - x)inches.

Therefore, the dimensions of the box that can maximize the volume of the metal sheet of 30inches by 30inches are L = (30 - x)inches, W = (30 - x)inches, and H = (x)inches.

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Answer:

A. 1.8 ×\(10^{30}\) Kg

B i. 3.0 × \(10^{17}\) seconds

  ii. 9.6 × \(10^{9}\) years

C. After 9.2 × \(10^{9}\) (9.2 billion) years

Step-by-step explanation:

Given that the mass of the Sun = 2× \(10^{30}\) Kg.

Mass of hydrogen when Sun was formed = 76% of 2× \(10^{30}\) Kg

                            = \(\frac{76}{100}\)  ×2× \(10^{30}\) Kg

                           = 1.52 × \(10^{30}\) Kg

Mass of hydrogen available for fusion = 12% of 1.52 × \(10^{30}\) Kg

                           = \(\frac{12}{100}\) × 1.52 × \(10^{30}\) Kg

                           = 1.824 ×\(10^{30}\) Kg

A. Total mass of hydrogen available for fusion over the lifetime of the sun is 1.8 ×\(10^{30}\) Kg.

B. Given that the Sun fuses 6 × \(10^{11}\) Kg of hydrogen each second.

i. The Sun's initial hydrogen would last;

                                     \(\frac{1.8*10^{30} }{6*10^{11} }\)

                                 = 3.04 × \(10^{17}\) seconds

The Sun's hydrogen would last 3.0 × \(10^{17}\) seconds

ii. Since there are 31536000 seconds in a year, then;

The Sun's initial hydrogen would last;

                                     \(\frac{3.04*10^{17} }{31536000}\)

                                 = 9.640 × \(10^{9}\) years

The Sun's hydrogen would last 9.6 × \(10^{9}\) years.

C. Given that our solar system is now about 4.6 × \(10^{9}\) years, then;

                               \(\frac{9.6*10^{9} }{4.6*10^{9} }\)

                             = 2.09

So that;   2 × 4.6 × \(10^{9}\) = 9.2 × \(10^{9}\) years

Therefore, we need to worry about the Sun running out of hydrogen for fusion after 9.2 × \(10^{9}\) years.

Part(A): The total mass of hydrogen available 9.6 billion years.

Part(B): The total time is 5.10 billion years.

Part(D): The hydrogen will last \(5.04\times 10^9 \ years\)

Our sun is the largest object in our solar system. The mass of the sun is approximately \(1.988\times 1030\) kilograms

Part(A):

Given that,

The total mass of the Sun =\(2\times10^{30} kg\)

Mass of hydrogen in Sun =  \(2\times10^{30} \times0.76\ kg\)

The mass of hydrogen ever available for fusion is,

\(2\times10^{30} \times 0.76 \times 0.12 kg = 1.824\times 10^{29}\)

Mass of hydrogen fuses each second = 600 billion kg/second.

Time hydrogen will last in seconds=\(1.824\times 10^{29}seconds.\)

\(= 0.00304\times 10^{29 }= 3.04\times 10^{17}.\)

Time hydrogen will last in seconds =\(1 year = 31,536,000 seconds.\)

\(31,536,000 x = 3.04\times 10^{17} = 9.6 \ billion \ years.\)

(B) Present age of sun = \(9.6-4.5 \ billion \ years\)

The time when we need to worry about Sun running out of hydrogen for fusion = 5.10 billion years.

(D) The solar system is 4.6 billion years old that is \(4.6\times 10^9\ years\)

And in part (B) we have calculated that hydrogen will last \(9.64\times 10^9\) then,

\(9.64\times 10^9-4.6\times 10^9=5.04\times 10^9\)

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Answer:

here

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. The velocity at time t , v(t) = (18t² + 3 ) m/s

2. The velocity at time t = 3 seconds = 165 m/s

3. The acceleration at time t, a(t) =( 36t )m/s²

4. The acceleration at time t = 3 seconds = 108 m/s²

The quantity that tells us how fast an object is moving anywhere along its path is the instantaneous velocity.

Instantaneous acceleration is defined as the ratio of change in velocity during a given time interval such that the time interval goes to zero.

1. s(t) = 6t³ + 3t +9

to find the velocity at time t, we differentiate s(t)

= 18t² + 3

2. at t = 3s

= 18(3)² +3

= 165 m/s²

3. v(t) = 18t² + 3

to get the acceleration at time t, we differentiate v(t)

= 36t

4. when t = 3

a = 36 × 3

= 108 m/s²

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The total weight of the liquid in the tank is approximately 12,628 pounds.

To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.

Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.

In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.

By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.

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The 7x side is half the length of the 28 side.

           7x = 14

             x = 2

Answer:

Since AB  = AC  ....the angles opposite these sides are also equal...

So   y   =    [ 180 - 24 ] / 2   =  156 /  2    =   78°

Step-by-step explanation:

Hope that helps, let me know if theres anything wrong with my answer

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thanks babe!

Answer:

286.94 cm

Step-by-step explanation:

Data:

             Area = 8,607

             b1 = 105

             b2 = 123

      Area = 1/2 * (b1 + b2) * h

      h = 2 * Area/b1 + b2

      h = 2 * 8,607/105 + 123

     h = 286.94 cm

I'm not sure if it's right but that's what my calculator gave me.

Answer:

Step-by-step explanation:

(a) To find the population of city X at time t years after 2023, we can use the formula:

P(t) = P(0) * e^(rt)

where P(0) is the initial population, r is the annual growth rate as a decimal, and e is the mathematical constant approximately equal to 2.71828.

Substituting the values given, we get:

P(t) = 100,000 * e^(0.026t)

(b) Similarly, for city Y, we have:

P(t) = 90,000 * e^(0.031t)

(c) To find the number of years it will take for the population of city Y to catch up to city X, we can set the two population formulas equal to each other and solve for t:

100,000 * e^(0.026t) = 90,000 * e^(0.031t)

Dividing both sides by 90,000 and taking the natural logarithm of both sides, we get:

ln(e^(0.026t)) = ln(e^(0.031t)) + ln(9/10)

0.026t = 0.031t + ln(9/10)

0.005t = ln(9/10)

t = ln(9/10) / 0.005

t ≈ 13.9 years

Therefore, it will take approximately 13.9 years for the population of city Y to catch up to city X.