when the angle of elevation of the sun is 78 degrees, an Statue casts a shadow that is 6m long. How far is the top of the statue to the end of it's shadow? ​

Answer:

D. The money that Kai started with before he mowed any lawns.

Step-by-step explanation:

We Know

The equation is y = mx + b

The x represents the number of lawns that Kai mows.

What does the y-intercept represent in this equation?

The y-intercept is when the x = 0, meaning the y-intercept is the amount of money he has when mowing 0 lawn. So, the answer is D.

Answer:

The Answer is D

Step-by-step explanation:

THIS MIGHT NOT BE RIGHT CAUSE I'M SICK

There are 8 different trips that can be made from City X to City Z, passing through City Y.

To find the number of different trips that can be made from City X to City Z, passing through City Y, we can use the multiplication principle of counting.

First, we need to choose one of the 2 major roads from City X to City Y. Then, for each of these roads, there are 4 major roads from City Y to City Z, and we need to choose one of these roads.

By the multiplication principle of counting, the total number of different trips from City X to City Z, passing through City Y, is the product of the number of choices at each stage. Thus, we get:

Number of different trips = Number of roads from City X to City Y x Number of roads from City Y to City Z

= 2 x 4

= 8

This calculation shows how the multiplication principle of counting can be used to find the total number of possible outcomes in a multi-stage process where the number of choices at each stage is known.

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Complete question is:

Automobile Trips. There Are 2 Major Roads From City X To City Y And 4 Major Roads From City Y To City Z. How Many Different trips can be made from City X to City Z, passing through City Y?

a) The relevant population is the heavy soft-drink users in the given case, and the appropriate sampling design that should be used is  stratified random sampling. The list of all heavy soft-drink users is the sampling frame.

b) Cluster sampling refers to a sampling design where population is divided into naturally occurring groups and a random sample of clusters is chosen.

The advantages are efficient, easy to perform, and used when the population is widely dispersed. The disadvantages are sampling errors, have lower level of precision, and have the standard error of the estimate.

a) The relevant population for the public relations research department to investigate the initial reactions of heavy soft-drink users to a new all-natural soft drink is heavy soft-drink users. The appropriate sampling design that can be used to investigate the issues is stratified random sampling.

Stratified random sampling is a technique of sampling in which the entire population is divided into subgroups (or strata) based on a particular characteristic that the population shares. Then, simple random sampling is done from each stratum. Stratified random sampling is appropriate because it ensures that every member of the population has an equal chance of being selected.

Moreover, it ensures that every subgroup of the population is adequately represented, and reliable estimates can be made concerning the entire population. The list of all heavy soft-drink users can be the sampling frame.

b) Cluster sampling is a type of sampling design in which the population is divided into naturally occurring groups or clusters, and a random sample of clusters is chosen. The elements within each chosen cluster are then sampled.

The advantages of cluster sampling are:

The disadvantages of cluster sampling are:

A situation where cluster sampling would be appropriate is in investigating the effects of a new medication on various groups of people. In this case, the population can be divided into different clinics, and a random sample of clinics can be selected. Then, all patients who meet the inclusion criteria from the selected clinics can be recruited for the study. This way, the study will be less expensive, and it will ensure that the sample is representative of the entire population.

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The y-intercept of a line is the point where the line crosses the y-axis is y=-5.  

In this case the y-intercept is y= -5.

To find the y-intercept, we can use the equation y=mx+b, where m is the slope and b is the y-intercept. To find the slope, we can use the formula m=\((y2-y1)/(x2-x1)\), which in this case would be m= -2

Now, we can plug this value into the equation y= mx+b , and solve for b. We get y=-2x-b, so we can add 2x to both sides and get b=y+2x. Substituting in the point (2,7), we get b=7+2(2)=-5. Thus, the y-intercept is -5.

Alternatively, we can graph the line using the two points and see that it crosses the y-axis at -5.

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Answer:

y = - 2x + 4

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2} -x_{1} }\)

with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (4, - 4) ← 2 points on the line

m = \(\frac{-4-2}{4-1}\) = \(\frac{-6}{3}\) = - 2

the line crosses the y- axis at (0, 4 ) ⇒ c = 4

y = - 2x + 4 ← equation of line

We need the volume

Volume:-

To find how much water the cube can hold

   ⇒ must find volume

      ⇒ which is the amount of space that a shape occupies, or

          that is enclosed within the shape

The volume of a cube-shaped tank:

    ⇒ is the length, width, and height multiplied together

       ⇒ since this is a cube, all the side lengths are equal

           ⇒ Volume = (side-length)^3

Based on the information given

  ⇒ side-length is 3.3 feet

Therefore:

  Volume = \(3.3^3 = 35.937ft^3\)

Thus the cube-shaped tank can hold 35.937 cubic feet of water

Answer: 35.937 cubic feet of water

Hope that helps!

f(x) = ax + b, and it is the unique differentiable function with f'(x) = a for all x and f(0) = b. Proof: Suppose g(x) is another differentiable function with g'(x) = a for all x and g(0) = b. Then, g(x) = ax + b, and so f = g. so, the correct answer is A).

We have f'(x) = a for all x, so by the Fundamental Theorem of Calculus, we have

f(x) = ∫ f'(t) dt + C

= ∫ a dt + C

= at + C

where C is a constant of integration.

Since f(0) = b, we have

b = f(0) = a(0) + C

= C

Therefore, we have

f(x) = ax + b

Now, to prove that f is the unique differentiable function with f'(x) = a for all x and f(0) = b, suppose g(x) is another differentiable function with g'(x) = a for all x and g(0) = b.

Define h(x) = g(x) - f(x). Then we have

h'(x) = g'(x) - f'(x) = a - a = 0

for all x. Therefore, h(x) is a constant function. We have

h(0) = g(0) - f(0) = b - b = 0

Thus, h vanishes everywhere and so f = g. Therefore, f is the unique differentiable function with f'(x) = a for all x and f(0) = b. so, the correct answer is A).

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Answer: $23.92

Step-by-step explanation:

First, we know that 6 bagels is $2.99.

48/6=8

This means that 6 is a multiple of 48, which makes it easier to solve.

$2.99 x 8 = 23.92

= $23.92

Answer:

2x3x5=120

Step-by-step explanation:

Answer:

30 is the missing number.

Step-by-step explanation:

The equation is,

→ 2³ × x × 5 = 120

Then the value of x will be,

→ 2³ × x × 5 = 120

→ 8 × x × 5 = 120

→ x × 40 = 120

→ x = 120/40

→ [ x = 30 ]

Hence, the value of x is 30.

Answer:

y=2x+5, y=4x, y=-3+9/2x

Step-by-step explanation:

8x+4y=20 turns into:

y=2x+5

3y-12x=0 turns into:

y=4x

9x-2y=6 turns into:

y=-3+9/2x

Answer:

x = 36

Step-by-step explanation:

the numbers are both multiplied by 3

The mean of this distribution is 0.55

The standard error of this distribution is 0.0384

We have the following:

p=0.55

sample size, n=168

Mean of distribution:

Mean=true proportion of voters who support a restaurant

Mean=p=0.55

Hence, the mean of distribution is 0.55

Standard error of the distribution:

\(=\sqrt{\frac{p(1-p)}{n} }\)

\(=\sqrt{\frac{0.55(1-0.55)}{168} }\)

=0.0384

Hence, the standard error is 0.0384

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The questions was incomplete, the complete question is given below:

Suppose the true proportion of voters in the county who support a restaurant tax is 0.55. Consider the sampling distribution for the proportion of supporters with sample size n = 168.

What is the mean of this distribution?

What is the standard error of this distribution?

The statements that accurately compare the domain and range of the functions are: The domain of all three functions is all real numbers, The range of f(x) and h(x) is all real numbers, but the range of g(x) is all real numbers except 0.

The domain of a function refers to all the possible input values that make the function defined. For the quadratic function f(x) = 3x², there are no values of x that make the function undefined, so the domain of f(x) is all real numbers. To find the range of f(x), we can calculate the vertex of the parabola, which is (0,0). The range of f(x) is all real numbers greater than or equal to zero.

For the quadratic function f(x) = 3x², we can determine the vertex using the formula:

h = -b/2a

In this case, a = 3 and b = 0, so:

h = -0/2(3) = 0/6 = 0

The x-coordinate of the vertex is 0.

To find the y-coordinate, we evaluate the function at the vertex:

f(0) = 3(0)² = 0

So the vertex of the parabola is (0,0).

Since the coefficient of x² is positive, the parabola opens upwards, and the minimum value of the function occurs at the vertex. Therefore, the range of f(x) is all real numbers greater than or equal to zero.

For the rational function g(x) = 1/3x, the function is undefined when the denominator is equal to zero. Thus, we solve for the value(s) of x that make the denominator zero:

3x = 0

Dividing both sides by 3, we get:

x = 0

Therefore, the domain of g(x) is all real numbers except zero. The range of g(x) is all real numbers except zero, since the function cannot equal zero.

For the linear function h(x) = 3x, there are no values of x that make the function undefined. Thus, the domain of h(x) is all real numbers. The range of h(x) is also all real numbers, since the function is a straight line that passes through the origin and extend infinitely in both directions.

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The relation in which a college student is related to another if and only if they have attended class together is an example of an equivalence relation.

Reflexivity: Every element of the set is related to itself. In this case, every student has attended class with themselves, so the relation is reflexive.

Symmetry: If one element is related to another, then the second element is also related to the first. In this case, if student A has attended class with student B, then student B has also attended class with student A, so the relation is symmetric.

Transitivity: If one element is related to a second, and the second is related to a third, then the first is related to the third. In this case, if student A has attended class with student B, and student B has attended class with student C, then student A has also attended class with student C, so the relation is transitive.

Therefore, the relation in which a college student is related to another if and only if they have attended class together satisfies all three properties of an equivalence relation, and is an example of such a relation.

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The time taken before the two automobiles meet is determined as 1.33 hours.

Apply the principle of relative velocity as shown below;

Vat + Vbt = D

(Va + Vb)t = D

where;

(20 + 25)t = 60

45t = 60

t = 60/45

t = 1.33 hours

Thus, the time taken before the two automobiles meet is determined as 1.33 hours.

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Answer: -6?

Step-by-step explanation:

Answer:

b= -2

Step-by-step explanation:

Answer:

b = -2

Step-by-step explanation:

First, isolate (b + 4) by dividing both sides of this equation by 7.  We get:

b + 4 = 2, so that b = -2

Answer:The order of operations tells us the order to solve steps in expressions with more than one operation.

Step-by-step explanation: First, we solve any operations inside of parentheses or brackets. Second, we solve any exponents. Third, we solve all multiplication and division from left to right.

Answer:

G is correct

H is correct

M is correct

K is 131

Step-by-step explanation:

Angles in a straight line add up to 180 degrees

Answer:

g: 43

h: 137

m: 49

K: 131

Step-by-step explanation:

i got it right

the answer is 138, because you divide first then add and then multiply.

Answer:

138 (if the exponent 3 in strictly on the 5)

5832 (if the exponent 3 in on the whole problem)

Step-by-step explanation:

The time to burn 4 inches is 8.8 hours

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

A 5-inch candle burns down in 11 hours.

This can be expressed as

Time : Length = 11 hours : 5 inches

For 4 inches, we have

Time : 4 inches = 11 hours : 5 inches

Express as fraction

Time = 4 * 11/5

Evaluate

Time = 8.8

Hence, the time is 8.8 hours

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A person's cardiovascular fitness, age, weight, gender, and the severity of the activity performed may all play a role in how fast a person attains steady-state and fully recovers. When an individual is fit, they tend to have a lower resting heart rate than an unfit person. Furthermore, a fit person's heart rate is less likely to climb to high levels during activity, and their muscles are more efficient, requiring less oxygen to function. Finally, fit people tend to have better cardiovascular health and are more capable of removing waste products from their muscles, allowing for a quicker recovery time.

RQ stands for respiratory quotient and represents the ratio of carbon dioxide produced to oxygen consumed. During exercise, RQ rises because the body is using more carbohydrates than fats to generate energy, which increases carbon dioxide production. During the recovery period, RQ decreases as the body switches back to using fat as its primary energy source and oxygen consumption increases.The graph/plot of RQ as a function of time during rest, physical activity, and recovery phases should show a steady increase during physical activity and a decline during recovery. This variation makes sense because during exercise, the body's demand for energy increases, and RQ increases as a result. Conversely, during recovery, the body switches back to using fat as its primary energy source, resulting in a decrease in RQ.

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Answer:

$30.47

Step-by-step explanation:

100%-15%=85%
85%=0.85
$35.85*0.85=30.47 (to 2d.p)
Hope this helps

Answer: 600

Step-by-step explanation:

Hope this helps!