15 points!!!! Carefully look at the relationship between altitude and
temperature in the atmosphere. Describe how temperature
changes when moving from sea level upward in the
atmosphere.

Answer:

p = 121

Step-by-step explanation:

inveresly proportional

pq² = k

find k the constant of proportionality

p is 16 when q is 11,

16 * 11² = k

k = 1,936

----------------------------

pq² = 1,936

determine p when q is equal to 4.

p * 4² = 1,936

16p = 1,936

p = 1,936/16

p = 121

Answer:

p= 121

Step-by-step explanation:

p\(\alpha\) \(\frac{1}{q^{2} }\)

p=k/\(q^{2}\)

k=p\(q^{2}\)

Get the value of your constant k

k=(16)(\(11^{2}\))

k= 1936

p= \(\frac{1936}{q^{2} }\)

When q=4

p=  \(\frac{1936}{4^{2} }\)

p= 121

The radius of the cylinder is equal to 10 feet.

In Mathematics and Geometry, the volume of a cylinder can be calculated by using the following formula:

Volume of a cylinder, V = πr²h

Where:

By substituting the given parameters into the formula for the volume of a cylinder, we have the following;

V = πr²h

1,570 = 3.14 × r² × 5

1,570 = 15.7r²

r² = 1,570/15.7

r² = 100

Radius, r = √100

Radius, r = 10 feet.

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Answer:

σX​ = 3161

Step-by-step explanation:

The standard deviation is the square root of the multiplication of each probability multiplied by the squared difference between the values and the mean.

In this question:

\(\sigma X = \sqrt{0.999*(200-100)^2 + 0.001*(-99800-100)^2} = 3160.7\)

Rounding to the nearest dollar, σX​ = 3161

Answer:

Step-by-step explanation:

y=-6

y=-10

y=-2

Answer:

D Replace on equation with sum /difference of both equations

The systems are still the same

Step-by-step explanation:

5x + y = 3

4x - 7y = 8

Subtract the second equation from the first

5x + y = 3

-(4x - 7y = 8)

-----------------

x    +8y = -5

The second equation in system B is the first equation in system a minus the second equation in system A

We added the same thing to each side of the equation so the the system is still the same

Answer:

when substituting x = -0.5, 0, and 1 into the equation, we get the results -8, -7, and -5, respectively.

Step-by-step explanation:

Part A:

To solve the equation 5 + x - 12 = 2x - 7, follow these steps:

Combine like terms on each side of the equation:

-7 + 5 + x - 12 = 2x - 7

-14 + x = 2x - 7

Simplify the equation by moving all terms containing x to one side:

x - 2x = -7 + 14

-x = 7

To isolate x, multiply both sides of the equation by -1:

(-1)(-x) = (-1)(7)

x = -7

Therefore, the solution to the equation is x = -7.

Part B:

Now let's substitute the given values of x and evaluate the equation:

For x = -0.5:

5 + (-0.5) - 12 = 2(-0.5) - 7

4.5 = -1 - 7

4.5 = -8

For x = 0:

5 + 0 - 12 = 2(0) - 7

-7 = -7

For x = 1:

5 + 1 - 12 = 2(1) - 7

-6 = -5

Answer:

1.5 meters

Step-by-step explanation:

The formula for the area of a trapezoid is h * (a+b)/2, where a is the first base and b is the second base. Now, we can work backwards to determine the height of the trapezoid:

3.75=h*(1.7+3.3)/2

3.75=h*2.5

h=3.75/2.5=1.5

Hope this helps!

Answer:

Step-by-step explanation:

use the formula and rearrange for h.

1/2 x h x  (a + b) = A

1/2 x (1.7 + 3.3) x h = 3.75

2.5 x h = 3.75

h = 1.5

hope this helps! :)

Answer:

Step-by-step explanation:

Answer:

3

---

8

Step-by-step explanation:

the ratio of cakes to pies will be 3:8 if pies to cakes is 8:3

the fraction is 3/8

In a case whereby a number has the same digits in its hundreds place and it’s hundredths place the number of times that the value is greater in the hundreds place than the value of the digit in the hundreds place is 10,000 times.

The question can be interpreted that the particular number has the same digit  which is seen in hundreds place  hence  hundredths place.

we can then represent the digit  as '1'.

The value of number's hundreds place can be represented as  100

we can as well represent the number's hundredths place as 0.01

the number of times the value of the hundreds place digit exceeds the value of the hundredths place digit can be expressed as 100/0.01 =(100*100)/1 = 10, 000

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missing options:

A. 100,00

B. 100

C. 1,000

D. 10,000

The length of line segment AB is 5 units.To find the length of line segment AB, we can use the distance formula, which is based on the Pythagorean theorem.

The distance formula calculates the distance between two points (x1, y1) and (x2, y2) in a coordinate plane.

Let's calculate the length of AB using the given coordinates for points A and B:

Coordinates of point A: A = (4, -5)

Coordinates of point B: B = (7, -9)

The distance formula is given by:

\(d = [(x2 - x1)^2 + (y2 - y1)^2]\)

Substituting the coordinates of A and B into the formula:

\(d = [(7 - 4)^2 + (-9 - (-5))^2]\\d =[(3)^2 + (-4)^2]\)

d = √[9 + 16]

d = √25

d = 5

Therefore, the length of line segment AB is 5 units.

The distance formula calculates the straight-line distance between two points in a two-dimensional space. In this case, it determines the distance between points A and B in the coordinate plane. By applying the formula and substituting the given coordinates, we find that the length of AB is 5 units.

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According to the information, it can be inferred that the total matches that would be played in total are 160,461.

A combination is a term to refer to an arrangement of elements in no particular order. For example:

When we put together a sandwich with salami, ham and turkey. The order in which the deli meats are placed does not matter as long as they are in a sandwich. There is only one way to stack the meat on the sandwich when the order doesn't matter.

To calculate how many matches will be played in total we have to perform the following procedure:

\(= ^{567} C_{2} \\= \frac{(567)!}{2!565!} \\= \frac{567 * 566 * (565)!}{2 * (565)!} \\= 567 * 283\\= 160,461\\\\\)

As we can see after the combination, the number of games that would be played in this tournament would be 160,461.

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Answer:

\(y=-x+1\)

Step-by-step explanation:

It helps to write the equation in slope-intercept formula to find the slope of an equation in the form: \(y=mx+b\) where "m" is the slope of the equation. We can take the equation given: \(-7x-7y=7\) and solve for "y" to get the equation in slope-intercept form:

\(-7x-7y=7\)

add 7x to both sides:

\(-7y=7x+7\)

Divide both sides by -7

\(y=-x-1\)

Now in this form we can tell that the coefficient of "x" (the m value) is our slope, which is -1. We need this slope to determine a parallel line as parallel lines share the same slope but different y-intercepts. So a general equation for a parallel line would be:

\(y=-x+b\text{ where b }\ne -1\)

We're given the point (-1, 2) and we can use it to solve for that "b" value.

We plug in -1 as x and 2 as y

\(2=-1(-1)+b\implies 2=1+b\implies 1=b\)

Now we just plug this into the general equation to get: \(y=-x+1\)

The graph of y=-3x-1 is given in the attachment.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given equation is  y=-3x-1

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

In the given equation slope is -3.

Let us find few values of x and y.

x    0    1    2     3    4

y    -1   -4   -7    -10  -13

Hence, the graph of y=-3x-1 is given in the attachment.

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Answer:

Five weeks and 5 days.

Step-by-step explanation:

30 days in April

30 + 10 = 40

40 days in all

a week is 7 days

40 cannot be divided by 7. But 35/7 = 5, and you'd have 5 days left over

When writing a proof, you should construct the first statement by copying the “prove” statement(s) from the original problem. The Option B is correct.

When constructing the first statement in a proof, it is important to begin with copying the “prove” statement(s) from the original problem. This involves writing the next statement based on the given or previously proven statements.

It is not helpful to write a justification for the first statement in the right column without considering its logical connection to the problem. By beginning with a logically connected statement, the proof can proceed in a clear and organized manner which leads to a valid conclusion.

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Answer:

Step-by-step explanation:

Given the system of equation

3x1 − 2x2 + x3 = −10 ............. 1

2x1 + 6x2 − 4x3 = −10 ............ 2

−8x1 − 2x2 + 5x3 = −26  ............... 3

Reduce the system of equations:

multiply equation 1 by 3 and add to 2

Eqn 1 * 3 gives;

9x1 − 6x2 + 3x3 = −30

Add to equation 2:

9x1+2x1 +(3x3-4x3) = -30-10

11x1 - x3 = -40 ........... 4

multiply eqn 3 by 3 and add to eqn 2

eqn 3 * 3 gives

−24x1 − 6x2 + 15x3 = − 78

Add to eqn 2:

-24x1+2x1)+15x3-4x3 = -78-10

-22x1 + 11x3 = -88 ......... 5

solve 4 and 5:

11x1 - x3 = -40 ........... 4 * 2

-22x1 + 11x3 = -88 ......... 5 * 1

.....................................................

22x1 - 2x3 = -80

-22x1 + 11x3 = -88

Add together:

-2x3 + 11x3 = -80-88

9x3 = -168

x3 = -168/9

x3 = 18.7

subtitute x3 = 18.7 into 4

11x1 - 18.7 = -40

11x1 = -40+18.7

11x1 = -21.3

x1 = -21.3/11

x1 = -1.93

Substitute x1 and x3 into 1

3(-1.93)− 2x2 + 18.7 = −10

- 5.79-2x2 = -28.7

-2x2 = -18.7 +5.79

-2x2 = -22.91

x2 = 11.455

The height of rectangular prism B is 5 yards.

Let's first find the volume of rectangular prism B:

The volume of the solid figure = Volume of prism A + Volume of prism B

180 = 75 + length × width × height of prism B

105 = length × width × height of prism B

We know that the length of prism B is 7 yards and the width is 3 yards,

Substitute those values:

105 = 7 × 3 × height of prism B

105 = 21 × height of prism B

height of prism B = 105/21

height of prism B = 5

Therefore, the height of rectangular prism B is 5 yards.

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Answer:

A.) NM= x

C.) LM = x√2

E.) tan (45°) = 1

Step-by-step explanation:

If the legs are both x, then the hypotenuse is equal to \(x\sqrt{2\)

Therefore, LM= \(x\sqrt{2\) is correct and MN= x

Disclaimer: The sum is done according to the picture attached as the question given is wrong.

The true statements regarding the given isosceles right triangle ΔLMN are:

An isosceles triangle is a triangle where two sides and their corresponding angles are equal.

A right triangle is a triangle with one angle = 90°.

An isosceles right triangle is a right-angled triangle with two legs including the right angle are equal. Their corresponding angles are equal and each of them = 45°. So, the three angles of an isosceles right triangle are 45°, 45°, and 90°, always.

In the figure, we can see that we have a ΔLMN, with ∠L = 45°, ∠M = 45°, and ∠N = 90°. Also, we can see that LN = x.

The given angles of ΔLMN determine that it is an isosceles right triangle with a right angle at N.

Since, the two legs involving the right angle, that is N, are equal, we can say that, NM = LN = x.

The hypotenuse of the ΔLMN, that is the side opposite to ∠N, that is LM, can be found using the Pythagoras theorem, by which in a right-angled triangle,

Hypotenuse² = Base² + Perpendicular².

∴ LM² = LN² + NM² = x² + x² = 2x².

or, LM = √(2x²) = x√2.

The tangent of an angle ∅, that is, tan ∅ is computed using the formula,

tan ∅ = Perpendicular/Base.

To calculate tan 45°, that is, tangent to ∠L, we take Perpendicular = NM and Base = LN.

∴ tan 45° = NM/LN = x/x = 1.

Now, we check all the given options:

∴ The true statements regarding the given isosceles right triangle ΔLMN are:

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Answer:

15 more times per minute

Step-by-step explanation:

Based on the information, we can infer that the salary a worker earns depends on the hourly wage they earn. In this case we will have to multiply the value of each hour by the number of hours worked. Additionally, I would agree to have a higher minimum wage to benefit workers.

Based on the information in the graph, we can infer that workers will have wages of $5.2, $6.0, and $6.6. According to the above, the salary varies depending on the number of hours.

On the other hand, I believe that you would agree to a salary increase because this would benefit workers who would be better paid for each hour of work.

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The graph of the function y = 5|x - 4| is added as an attachment

From the question, we have the following parameters that can be used in our computation:

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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Answer:

243

Step-by-step explanation:

3*3*3*3*3=243

Answer:

243

Step-by-step explanation:

He invested $32000 in the 5% account and $8000 in the 7% account

Total amount invested in both accounts = $40000

Let the amount invested in the 5% account be x

The amount invested in the 7% account = 40000 - x

Total interest = $2160

Let the interest on the 5% account be y

The interest on the 7% account = 2160 - y

time, T = 1 year

where P is the prinicipal, R is the rate, and T is the time

For the 5% account:

For the 7% account:

Equate (1) and (2)

0.05x = 0.07x - 640

0.07x - 0.05x = 640

0.02x = 640

x = 640/0.02

x = 32000

Amount invested in the 5% account = $32000

Amount invested in the 7% account = 40000 - x

Amount invested in the 7% account = $40000 - $32000

Amount invested in the 7% account = $8000

Answer:

I wish I could help but I don't know

Answer:

D is correct

Step-by-step explanation:

The depreciation expense for 2021 is  $14,700.

Depreciation is a method used to expense the cost of an asset. The double-declining method is an accelerated depreciation method that is used to determine the depreciation of an asset. The double-declining method is twice the depreciation of a straight line depreciation.

double-declining method = Depreciation factor x cost of the asset

Depreciation factor = 2 x (1/useful life)

Depreciation expense = (2/10) x 73,500 = $14,700

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Answer:

B

Step-by-step explanation:

Musicologists generally define the Classical period of music as ranging from 1730 to 1820. Classical era music followed the late Baroque period of music.

can you insert a picture of the figure ?

Answer:

2(x-18)=3x

Step-by-step explanation:

hope this helps