Lines m and n are parallel. The measure of angle 6 is 55 114 57.6 3 What is the measure of angle 1? 1552​

Answer:

Step-by-step explanation:

1) Angle 1 = 95   Angle 2 = 95

2) Angle 1 = 108 Angle 2 = 72

3) Angle 1 = 58  Angle 2 = 58

4) Angle 1 = 40  Angle 2 = 40

Answer:

4

Step-by-step explanation:

to evaluate (f ○ g)(3) , evaluate g(3) then substitute the value obtained into f(x) , that is

g(3) = 3 - 5 = - 2 , then

f(- 2) = (- 2)² = 4

Answer:

B

Step-by-step explanation:

It has two or more terms.

Thus, the total time for which the ball remains in air after kicking is 5 seconds.

In mathematics, a quadratic equation is a second-degree polynomial with the conventional form ax² + bx + c = 0, where a, b, and c are numeric coefficients and a 0.

The equation will only have one root or solution because when discriminant value is zero. Moreover, if the discriminant becomes negative, there is no true root for the quadratic equation.

Given condition:

Function for height (ft) :

ℎ(t) = −16t² +80t

In which, t is time (sec) after kick.

Ball will take the same time to reach at the top and comes at the bottom say t1 and t2.

time t1 + t2 = 0, when ball reach at the ground.

Put h(t) = 0.

0 = −16t² +80t

16t² - 80t = 0

taking 16t common.

16t(t - 5) = 0

16t = 0  ---> t = 0 sec

and:

(t - 5) = 0   ---> t  = 5 sec

Thus, the total time for which the ball remains in air after kicking is 5 seconds.

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Answer:

36

Step-by-step explanation:

Same side

Answer:

Step-by-step explanation:

a is supplementary with 36 and b is supplementary with 113. Same side interior angles.

Supplementary angles sum to 180°

Answer:

Step-by-step explanation:

A

The function f(t) corresponding to the Laplace transform ℋ(f(t)) = ℋ{s(t)} is:

f(t) = u(t) + 2te^(-t) + t^2/2 u(t)

To find f(t) from the Laplace transform ℋ(f(t)), we need to apply the inverse Laplace transform ℒ⁻¹ to ℋ(f(t)).

Given ℋ(f(t)) = ℋ{s(t)}, we have:

ℒ⁻¹{ℋ(s(t))} = ℒ⁻¹{ℋ[(s + 1)²/s]} = ℒ⁻¹{ℋ[s/s] + ℋ[2s/(s+1)²] + ℋ[1/(s+1)²]}

Using the properties of Laplace transforms and taking the inverse Laplace transforms, we get:

f(t) = u(t) + 2te^(-t) + t^2/2 u(t)

where u(t) is the unit step function.

Therefore, the function f(t) corresponding to the Laplace transform ℋ(f(t)) = ℋ{s(t)} is:

f(t) = u(t) + 2te^(-t) + t^2/2 u(t)

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Answer:

20

Step-by-step explanation:

I just took test let me know if I’m wrong but I’m 100 perfect I’m right

Answer: $20

Just took the test, hope it helps

Answer: About 20.82 liters.

Step-by-step explanation:

         To go from gallons to liters, we will multiply by 3.785. Since we are in half gallons, we will multiply 11 by 0.5 for 5.5 full gallons. Now, we will multiply;

        5.5 gallons * 3.785 = 20.8198 ≈ 20.82 liters

Step-by-step explanation:

$70*8% ≈ 56

so, 70 - 56 = i14

ihopethishelps

Answer:

0.85

Step-by-step explanation:

you add them... duh

Answer:

P(A) = 2/6

P(A’) = 4/6

Step-by-step explanation:

In probability theory, the complement of any event A is the event [not A], i.e. the event that A does not occur. The event A and its complement [not A] are mutually exclusive and exhaustive. Generally, there is only one event B such that A and B are both mutually exclusive and exhaustive; that event is the complement of A. The complement of an event A is usually denoted as A′, Aᶜ, ¬A or A. Given an event, the event and its complementary event define a Bernoulli trial: did the event occur or not?

Our complement, A’, would then be “rolls a 1, 2, 3, or 4.” We can illustrate this as follows: The event “rolling a 5 or 6” and its complement “rolling a 1, 2, 3, or 4.”

Answer: The complement of an event is the set of all outcomes that are not part of the event. If you roll a standard numbered cube, the complement of rolling a 2, 3, or 4 would be rolling a 1, 5, 6. These are all the outcomes that are not a 2, 3, or 4.

Answer:

95xhsshsjsjeeiejjejsjsjsjwnnsnsmsmmwwnsnnsns

Dan could be charged with larceny, which is a felony offense in some states.

Dan could be charged with larceny, which is the taking of another person's property without their permission or consent. In this case, Dan took money from the tip jar without the permission of the ice cream shop or its owners. In some states, this type of larceny is considered grand larceny, which is a felony offense.

Larceny is a crime of intent, meaning that the perpetrator had the intent to deprive the victim of their property permanently. In the case of Dan, he intended to take the money from the tip jar for his own use, not to return it. As such, he could be charged with larceny.

In some states, the punishment for grand larceny is prison time or fines, and the length of the sentence or amount of the fines is determined by the value of the stolen property. In this case, the stolen property was five dollar bills, so the sentence or fine could be quite severe.

It is important to note that in some states, a minor's age may be taken into account when determining the sentence for a crime such as this one. For example, if Dan was a minor, his sentence could be reduced or his charges could be dropped altogether.

In conclusion, Dan could be charged with larceny, which is a felony offense in some states. Depending on the laws of the state, the age of the perpetrator, and the value of the stolen property, Dan could face prison time, fines, or a combination of both.

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According to the angle of incidence, the angle of reflection will also be 36°

Angle of incidence:

In math it means the angle which an incident line or ray makes with a perpendicular to the surface at the point of incidence.

Given,

Here we need to find the If light strikes a plate mirror at a 36° angle of incidence, then what would you expect the resulting angle of reflection to be.

Here we know that, the incident ray, the reflected ray and the normal ray at the point of incidence all lies in the same plane.

Then the angle of incidence is equal to the angle of reflection

And it can be written as,

=> Angle of incidence = angle of reflection

As per the 2nd law given above, we say that if a light ray incident at 45°, then the reflected angle will also be 45°

Here we know that the value of,

=> Angle of incidence = 36°

Therefore, the Angle of reflection = 36°

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Answer:

A.-7

Step-by-step explanation:

-7*7*16/8*14= -7*16/8*2=-7

Step-by-step explanation:

1 mole of any substance = 6.022 * 10²³ molecules.

Number of moles of CO2

= (4.5 * 10¹⁶)/(6.022 * 10²³)

= 0.75 * 10^(-7)

= 7.5 * 10^(-8) mol.

4.5 × 10¹⁶ molecules of carbon dioxide are equal to 7.47 × 10⁻⁸ moles.

In chemistry, the amount of a substance in which contains precisely 6.02214076 × 10²³ elementary particles of the same substance is defined to be as a mole.

The constant 6.02214076 × 10²³ is called Avogadro constant and is usually denoted by Nₐ.

These elementary particles can be atoms, ions, molecules and others like electrons.

Number of moles in any substance can be calculated by,

n = N/Nₐ , where

n : number of moles

N : number of elementary particles

Nₐ : Avogadro constant

We have 4.5 × 10¹⁶ molecules of carbon dioxide are there.

Number of moles in CO₂ = (4.5 × 10¹⁶) / (6.022 × 10²³)

                                         = 0.747 × 10⁻⁷

                                         = 7.47 × 10⁻⁸

Hence, 7.47 × 10⁻⁸ moles of carbon dioxide are equal to 4.5 × 10¹⁶ molecules of carbon dioxide.

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Answer:

29900 feet

Step-by-step explanation:

First, we calculate the derivative of the function h(t):

\(\frac{d}{dh} = -18.2(t-32.5)\\\\\)

After we have the derivative function - we insert 0 on the left side of the equation to find all possible function local maxima:

\(0 = -18.2(t-32.5)\\t = 32.5\)

From above equation we know the plane reached maximum height at time of 32.5 seconds, now we just insert the calculated value into the original function:

\(-9.1* 32.5^2+591.5 * 32.5+20288.125 = 29900\)

Voila! :D

Hi! here your answer

Answer:

If D≥0, then the roots are real and distinct.

If D=0, then the roots are real and equal.

If D≤0, then no real roots exist

Hope you understood!

The statement is TRUE. Extrapolation in regression analysis refers to using the line of best fit to predict values that lie outside the range of the observed data.

It involves extending the regression line beyond the observed data points to estimate values for variables that are beyond the range of the data. However, it's important to note that extrapolation can be risky because it assumes that the relationship between the variables continues outside the observed range, which may not always be valid. Extrapolation should be done with caution and its results should be interpreted carefully.

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False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.

In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.

When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.

In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.

However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.

Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.

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Answer:

20 ponds

Step-by-step explanation:

1 third us 20 pounds times by 3 is 60 so if its a 1 third sale it will cost 20 pounds

Answer:

x = 3

Step-by-step explanation:

We are given a vertical line which means that the slope is undefined. Since we are passing through the x-axis at (3, 0) with no y-intercept, we will write this as x = 3.

Best of Luck!

Answer:

x=3

Step-by-step explanation:

for all amounts of y , x is 3.for example : we have (3,0) , (3,1) , (3,-1) , and ...

Answer:

  t = 7

Step-by-step explanation:

You can use your knowledge of powers of 2, or you can use logarithms to find the value of t.

  2^1 = 2

  2^2 = 4

  2^4 = 16

  128 = 16×4×2 = (2^4)(2^2)(2^1) = 2^(4+2+1) = 2^7

Now, the equation is ...

  f(t) = 2^t = 2^7

Equating exponents, we have ...

  t = 7

Taking the log of both sides of the equation ...

  2^t = 128

we have ...

  t×log(2) = log(128)

  t = log(128)/log(2) = 7 . . . . . divide by the coefficient of t

The value of t is 7.

__

Additional comment

The relevant rule of exponents is ...

  (a^b)(a^c) = a^(b+c)

The relevant rule of logarithms is ...

  log(a^b) = b×log(a)

Answer:

2nd one

Step-by-step explanation:

(x,y)

- 3 off of y (because it's going down)

-5 off of x (because it's going left)

Answer:

A=(-4,-2)

B=(-1,-1)

C=(-2,2)

Step-by-step explanation:

A = (1,1) = (-5+1) and (-3+1) = (-4,-2)

B = (4,2) = (-5+4) and (-3,+2) = (-1,-1)

C= (3,5) = (-5+3) and (-3+5) = (-2,2)

On day 5, the approximate number of mosquitoes in the population is 30.

The mosquito population follows the growth rate function m(t) = 12.1(1.2)^t, where t represents time in days. Given that the mosquito population is 649 at t = 0, we can determine the number of mosquitoes on day 5 by substituting t = 5 into the growth rate function.

m(5) = 12.1(1.2)^5

Calculating this expression, we find:

m(5) ≈ 12.1(1.2^5) ≈ 12.1(2.48832) ≈ 30.055792

Rounding this value to the nearest whole number, we get:

m(5) ≈ 30

Therefore, on day 5, the approximate number of mosquitoes in the population is 30.

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Answer:

first collects 17, second 34 and third 29

Step-by-step explanation:

Total amount to be shared = 80.00

If first person received x

second received y

Third received z

If the second will have twice as much as the first, then;

y = 2x

x = y/2

If the third will have P. 5.00 less than the second, then

z = y-5

y = z+5

Substitute both equation in original equation

x+y+z = 80

y/2 + y + y-5 = 80

y + 2y + 2y -10 = 160

5y = 160+10

5y = 170

y = 170/5

y = 34

x = y/2

x = 34/2

x = 17

z = y - 5

z = 34-5

z = 29

Hence the first collects 17, second 34 and third 29

Answer:

£ 105.

Step-by-step explanation:

Since it is required to decrease £ 120 by 12.5%, to perform this subtraction the following mathematical operation must be performed:

100 - 12.5 = 87.5

100 = 120

87.5 = X

87.5 x 120/100 = X

10,500 / 100 = X

105 = X

Thus, decreasing £ 120 by 12.5% you get a total of £ 105.

The equation of the tangent plane to the surface z=1y²−4x² at the point (4,1,−63) is: z - z₀ = ∂z/∂x(x - x₀) + ∂z/∂y(y - y₀)

In the above equation, (x₀, y₀, z₀) is the point of tangency and ∂z/∂x, ∂z/∂y are the partial derivatives of z with respect to x and y, evaluated at (x₀, y₀).

Taking partial derivatives with respect to x and y, we get:

Substituting x = 4, y = 1 and z = -63, we get:

So the equation of the tangent plane is:

Simplifying, we get:

Therefore, the equation of the tangent plane to the surface z=1y²−4x² at the point (4,1,−63) is 32x - 2y - z = 161.

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