The angle of depression from the top of a 150m high cliff to a boat at sea is 7°. How much closer to the cliff must the boat move for the angle of depression to become 19°?

Answer:

Step-by-step explanation:

it is always greater than its opposite

Answer:

Step-by-step explanation:

In this problem, we are to model the equation for the total cost of producing a phone

Given that the fixed cost is $600

Also, the total cost of producing 4 phones in a day is $1600

hence the cost of producing 1 phone would be 1600/4= $400

the equation for producing p phones would be

C= 400P+ 600

This equation is the same as the equation of a straight line Y=mx+c

with C=y

400= m= gradient

P=x, the dependent variable

600= c the constant term.

Answer:

c=250+600

Step-by-step explanation:

Answer:

C: 14

Step-by-step explanation:

Polo Shirts: 14

Team Shirts: 56

Add the number of shirts together. So, 14+56=70

So we have a total of 70 shirts. Option B, which is "12, won't work because the factors of twelve are 12, 24, 36, 48, 60, 72, 84.  Option D, which is "24" won't work because the factors are 24, 48, 72.

So we are left with A, "7" or C, "14"

If you were to choose A (7) you're going to have to put 10 shirts in each row.

If you were to choose C (14) you're going to have to put 5 shirts in each row.

Since it says the maximum number of shirts in a row, it would have to be C, "14"

Hope this helps!!!!

Answer:

14

Step-by-step explanation:

Given:

If only one type of shirt can be in each row, the maximum number of shirts in each row is the greatest common factor (GCF) of 14 and 56.

Factors of 14:  1, 2, 7 and 14.

Factors of 56:  1, 2, 4, 7, 8, 14, 28 and 56.

The GCF of the two numbers is 14.  

Therefore, the maximum number of shirts in each row is 14.

Answer:

I say A or B but in favor A

Step-by-step explanation:

Answer:

I would hire Jacob.

Step-by-step explanation:

Jacob is trying to sound more impressive knowing that Edward has more cords per hour. The writers of the question wouldn't say "trying to SOUND more impressive" if Jacob actually WAS more impressive. But maybe that's what they want you to think. If you take the 5 cords of Edward and divide it by the eight hours that it takes him to do you will notice he has an average of 0.625 cords per hour. And if you take a look at Jacob's average you immediately notice that he has an average of ABOVE 1. Jacob has an average of 1.62 cords per hour. Therefor Jacob is more efficient in this category of work. That's why I would hire Jacob.

Answer:126 pounds

Step-by-step explanation:

The ratio from dolphins to pound of fish in one day is 1:7

So you have to multiply the ratio on both sides by 18

So you will get 18:126

Kelly's painting's worth after 6 years which increased by 8% each year is $856.9.

Cost of Kelly painting 6 years ago = 540

The rate by which the cost of painting is increasing each year = is 8%

Total number of years = 6

Exponential growth happens when an initial price increases by the same percentage or factor over equal time increments .

Kelly's painting price is increasing exponentially .

\(A = P(1+R)^{T}\)

P = Principal amount =  540

R =  rate = 8% = 0.08

T = year = 6

\(A = 540(1+0.08)^{6}\)

A = 540(1.59)

A = 856.9

Kelly's painting is worth $ 856.9 now.

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Answer:

X-axis

Step-by-step explanation:

Maybe

Answer:

2x+3y=-6

Step-by-step explanation:

the intercepts are (-3,0) (x intercept) and (0,-2) (y intercept)

this means that when x = 0, y = -2 and when y = 0, x = -3.

the last two are not in standard form, so we can eliminate those.

the answer also cannot be the second one because both intercepts are negative. when we solve it, the intercepts would be (3,0) and (0,2). the answer must be 2x+3y=-6.

sorry for the late reply!

Answer:

I believe its A. 2x+3y=-6

Step-by-step explanation:

tThe population in this scenario refers to the entire group of policyholders of the large automobile insurance company.

Set up the hypotheses ; Null hypothesis (H0): The mean age in the population of policyholders is 50.  Alternative hypothesis (Ha): The mean age in the population of policyholders is different from 50. Determine the significance level: The significance level is given as 5%.  Calculate the test statistic: The test statistic for a two-sample t-test is given by:
    t = (sample mean - hypothesized mean) / (standard error)

 In this case, the sample mean is 47.2, and the hypothesized mean is 50. The standard error can be calculated using the formula: standard error = sqrt(variance / sample size).  In this case, the variance is 121 and the sample size is 361. Calculate the degrees of freedom:  For a two-sample t-test, the degrees of freedom is calculated as the sum of the sample sizes minus 2.  In this case, the sample size is 361.  Determine the critical value:  Since the alternative hypothesis is two-tailed (different from 50), we divide the significance level by 2 (5% / 2) to get the critical value for each tail.

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1.  The simultaneous solution of the given equations is X=12/5 and Y=4/5

2.1)The combination of X and Y that will yield the optimum for this problem is X=0 and Y=3.3.

2)The combination of X and Y that will provide a minimum for this problem is X=3 and Y=0.

To find the simultaneous solution of the given equations 4X+3Y=12 and 2X+4Y=8, we can use the method of elimination, also known as the addition method. Multiplying the second equation by 2, we get 4X+8Y=16.

Now, we can subtract the first equation from the second equation: 4X+8Y - (4X+3Y) = 8Y - 3Y = 5Y and 16 - 12 = 4. Thus, 5Y=4 or Y = 4/5.

Substituting this value of Y in any of the two equations, we can find the value of X. Let's substitute this value of Y in the first equation: 4X+3(4/5)=12 or 4X

= 12 - (12/5)

= (60-12)/5

= 48/5.

Thus, X = 12/5. Hence, the simultaneous solution of the given equations is X=12/5 and Y=4/5.2. To find the optimal values of X and Y that will maximize the objective function Z=$10X+$50Y, we need to use the method of linear programming.

First, let's plot the feasible region defined by the given constraints:We can see that the feasible region is bounded by the lines 3X+4Y=12, 2X+5Y=10, X=0, and Y=0.

To find the optimal solution, we need to evaluate the objective function at each of the corner points of the feasible region, and choose the one that gives the maximum value.

Let's denote the corner points as A, B, C, and D, as shown above. The coordinates of these points are: A=(0,3), B=(2,1), C=(5/2,0), and D=(0,0). Now, let's evaluate the objective function Z=$10X+$50Y at each of these points:

Z(A)=$10(0)+$50(3)

=$150, Z(B)

=$10(2)+$50(1)

=$70, Z(C)

=$10(5/2)+$50(0)

=$25, Z(D)

=$10(0)+$50(0)=0.

Thus, we can see that the maximum value of Z is obtained at point A, where X=0 and Y=3. Therefore, the combination of X and Y that will yield the optimum for this problem is X=0 and Y=3.3.

To find the combination of X and Y that will provide a minimum for the problem Minimize Z=X+5Y subject to: 4X+3Y≥12 and 2X+5Y≥10, we need to use the same method of linear programming as above.

First, let's plot the feasible region defined by the given constraints:We can see that the feasible region is bounded by the lines 4X+3Y=12, 2X+5Y=10, X=0, and Y=0.

To find the optimal solution, we need to evaluate the objective function Z=X+5Y at each of the corner points of the feasible region, and choose the one that gives the minimum value.

Let's denote the corner points as A, B, C, and D, as shown above.

The coordinates of these points are: A=(3,0), B=(5,1), C=(0,4), and D=(0,0).

Now, let's evaluate the objective function Z=X+5Y at each of these points:

Z(A)=3+5(0)=3,

Z(B)=5+5(1)=10,

Z(C)=0+5(4)=20,

Z(D)=0+5(0)=0.

Thus, we can see that the minimum value of Z is obtained at point A, where X=3 and Y=0. Therefore, the combination of X and Y that will provide a minimum for this problem is X=3 and Y=0.

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Answer:

m = 600 feet/minute

Step-by-step explanation:

In this scenario, the elevation of the hot air balloon can be represented as a linear function of time. Let's use t to denote time in minutes and h(t) to denote the elevation of the balloon in feet at time t.

We know that the balloon starts at an elevation of 300 feet, so we can write the equation of the line as:

h(t) = 600t + 300

The slope of the line represents the rate of change of the elevation with respect to time, which is the same as the rate at which the balloon is ascending. Therefore, the slope of the line is equal to the ascent rate of the balloon, which is 600 feet per minute.

So the slope of the line is:

m = 600 feet/minute

The correct equation to find the number of miles Alberto is running after training for w weeks is B. M= 2w + 5.

We know that Alberto starts with running 5 miles, and increases his distance by 2 miles each week. So after w weeks, he would have run 5 + (2 x w) miles.

Therefore, the equation that represents the number of miles, M, run by Alberto after training for w weeks would be:

M = 2w + 5

To verify this, we can substitute different values of w in the equation to calculate the corresponding value of M. For example, if w=3, then:

M = 2(3) + 5

M = 11

So after training for 3 weeks, Alberto will be running 11 miles. Similarly, we can check for other values of w to see that the equation holds true.

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Answer:

a. minor arc

The upper control limit (UCL) is approximately 2.0018 litres, and the lower control limit (LCL) is approximately 1.9982 litres, which would include roughly 95.5 percent of the sample means.

Now let's check if the process is in control using the given sample means:

To determine the upper and lower control limits for the sample means, we can use the formula:

Upper Control Limit (UCL) = Mean + (Z * Standard Deviation / sqrt(n))

Lower Control Limit (LCL) = Mean - (Z * Standard Deviation / sqrt(n))

In this case, we want to include roughly 95.5 percent of the sample means, which corresponds to a two-sided confidence level of 0.955. To find the appropriate Z-value for this confidence level, we can refer to the standard normal distribution table or use a calculator.

For a two-sided confidence level of 0.955, the Z-value is approximately 1.96.

Given:

Mean = 2.0 litres

Standard Deviation = 0.01 litres

Sample size (n) = 5

Using the formula, we can calculate the upper and lower control limits:

UCL = 2.0 + (1.96 * 0.01 / sqrt(5))

LCL = 2.0 - (1.96 * 0.01 / sqrt(5))

Calculating the values:

UCL ≈ 2.0018 litres

LCL ≈ 1.9982 litres

Therefore, the upper control limit (UCL) is approximately 2.0018 litres, and the lower control limit (LCL) is approximately 1.9982 litres, which would include roughly 95.5 percent of the sample means.

Now let's check if the process is in control using the given sample means:

Mean of the sample means = (2.005 + 2.001 + 1.998 + 2.002 + 1.995 + 1.999) / 6 ≈ 1.9997

Since the mean of the sample means falls within the control limits (between UCL and LCL), we can conclude that the process is in control.

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The figure S is translatation and then followed by rotation to map it into

figure T.

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

The figure S is translated (moved a fixed amount from the preimage)

and then followed by rotation(the preimage is rotated to create the final image) to map it into figure T.

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\(\frac{10-(3 \cdot 2^2 - 23)}{(1 + 10^2)-2^2 \cdot 5^2} =\)

\(10-\left(3\cdot \:2^2-23\right) =10-\left(-11\right) =21\)

\(\left(1+10^2\right)-2^2\cdot \:5^2 = 101-2^2\cdot \:5^2 = 101-4\cdot \:5^2 =101-4\cdot \:25 =101-100 = 1\)

\(=\frac{21}{1}\)

\(\frac{a}{1}= a\)

\(=21\)

I hope I helped you!

\(\qquad \sf  \dashrightarrow \: \dfrac{10 - (3 \times 2 {}^{2} - 23) }{(1 + 10 {}^{2}) - {2}^{2} \times {5}^{2} } \)

\(\qquad \sf  \dashrightarrow \: \dfrac{10 - (3 \times 4{}^{} - 23) }{(1 + 10 0{}^{}) - {4}^{} \times {25}^{} } \)

\(\qquad \sf  \dashrightarrow \: \dfrac{10 - (12- 23) }{(10 1{}^{}) - {100}^{} } \)

\(\qquad \sf  \dashrightarrow \: \dfrac{10 - ( - 11) }{1} \)

\(\qquad \sf  \dashrightarrow \: 10 + 11\)

\(\qquad \sf  \dashrightarrow \: 21\)

Answer:

A. 33 and 23

Step-by-step explanation:

33 and 23 have a sum of 56 and a difference of 10, so the answer is A. 33 and 23

Answer:

C

Step-by-step explanation:

Answer:

3) 6.16

4) -11

5)1.73

6) -3.16

I hope I'm right and if not then I'm sorry :/

Answer:

3,6.16441400297

4,10.9544512

5,1.73205080757

6,3.16227766

Answer:

1 6 inches

2 4 inches

Step-by-step explanation:

1. 2wide : 4tall

×3

6wide: 12tall

2. 6wide : 12tall

÷ 3

2wide to 4tall

Answer: -35/18

Step-by-step explanation: Hello!

The main thing that you need to know when dividing fractions is what the reciprocal is. Here is an example of finding the reciprocal:

1/2 divided by 2/3 = 1/2 x 3/2.

Basically, you flip the second fraction upside down (Put the number under the fraction line over the fraction line and put the number above the fraction line under the fraction line).  Then, you multiply the two fractions.  Then, you will find the answer.  Here is how to do that with the problem you have:

5/3 divided by (-6/7) = ?

After finding the reciprocal, you would get:

5/3 x (-7/6)

To find the answer, multiply the numerators together (5 and -7) and the denominators (3 and 6) together.

For the new numerator, you get -35.  For the new denominator, you get 18.  Put the new numerator above the fraction line and the new denominator below the fraction line.

The answer is:

-35/18

The length of segment RS is given as follows:

RS = 24.

The angle addition postulate states that if two or more angles share a common vertex and a common angle, forming a combination, the measure of the larger angle will be given by the sum of the measures of each of the angles.

The segment RT is the combination of segments RS and ST, hence:

RT = RS + ST.

Hence the length of segment RS is given as follows:

41 = RS + 17

RS = 24.

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This result was derived by considering a circle with diameter AB and center O, where C is a point on the circumference and angle COB is represented by θ radians.

By comparing the area of the minor segment ACB and the sector BOC, we established a relationship between θ and the trigonometric function sine.

The step-by-step proof demonstrated the validity of the equation

3θ = π - sin θ.

To prove that 3θ = π - sin θ, we follow the given steps:

Step 1: In the circle with diameter AB and center O, draw a radius OC joining point C to center O.

Angle COB = θ radians.

Step 2: Area of the minor segment ACB = area of sector AOB - area of ΔAOC.

Step 3: Formula of area of minor segment ACB = [(θ/2π) x πr²] - [(1/2) x AC x OC].

Step 4: Area of sector BOC = (θ/2π) x πr².

Step 5: Given that area of minor segment ACB = 2 x area of sector BOC.

Step 6: Set up the equation using the formulas from steps 3, 4, and 5.

(θ/2π) x πr² - [(1/2) x AC x OC]

= 2 x [(θ/2π) x πr²].

Step 7: Simplify the equation from step 6.

(1/2) x AC x OC = (1/2) θr².

Step 8: Square both sides of the equation from step 7.

AC² x OC² = θ²r⁴ ...(1).

Step 9: Use the Pythagorean theorem in right triangle AOC.

AC² + OC² = r².

Step 10: Substitute OC² from equation (1) into the equation from step 9.

AC² + θ²r⁴/AC² = r².

Step 11: Combine like terms and simplify the equation from step 10.

AC⁴ - r²AC² + θ²r⁴ = 0.

Step 12: Solve the quadratic equation from step 11 for AC².

AC² = [(r² ± √{r⁴ - 4θ²r⁴})/2].

Step 13: Substitute for AC² in equation (1).

AC² x OC² = θ²r⁴.

Step 14: Multiply both sides of the equation from step 13 by 4/r⁴.

(4/r⁴) x AC² x OC² = (4/r⁴) θ²r⁴.

Step 15: Simplify the equation from step 14.

4[1 - (AC/AB)²] AC² = 4θ².

Step 16: Use trigonometry in triangle AOC.

sin (θ/2) = (AC/2r).

Step 17: Substitute for AC from the equation above.

(1 - sin²(θ/2)) {2r x sin²(θ/2)}² = 4θ².

Step 18: Simplify the equation from step 17.

3θ = π - sin θ.

Hence, it is proved that 3θ = π - sin θ.

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Answer:520? for the mean?neareast answer and 75 for the median

Step-by-step explanation:

SSE (Sum of Square Error) tells us how much of the dependent variation the model does not explain.

SSE is a measure that quantifies the difference between the observed values and the predicted values from a statistical model. It represents the sum of the squared differences between the actual values of the dependent variable and the predicted values by the model.

The SSE reflects the unexplained or residual variation in the data, meaning it represents the portion of the dependent variable's variability that is not accounted for by the model. In other words, it measures how well the model fits the data and captures the extent to which the model represents and explains the observed data. A lower SSE value indicates a better fit of the model to the data, as it implies that the model explains a larger proportion of the dependent variable's variation.

Therefore, option "O how much of the dependent variation the model does not explain" is the correct statement that describes what SSE tells us. It provides a measure of the unexplained variation in the data and serves as a basis for assessing the model's goodness of fit.

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Answer:

x = 15

Step-by-step explanation:

Angle = exterior

x + 118= 133

x = 133-118

x = 15

Hence, x = 15

[RevyBreeze]

The p value for the difference is 0.005.

According to the statement

we have given that the 74 of 100 urban residents favor the construction while only 70 of 125 suburban residents are in favor.

And we have  to find the difference between them in proportions.

So,

X1 = 74 represent the number of residents in a certain city and its suburbs who favor the construction of a nuclear power plant

X2 = 70 represent the number of people suburban residents are in favor

N1  = 100 sample 1 selected

N2 = 125 sample 2 selected

AND

P1 = 0.74 represent the proportion of residents in a certain city and its suburbs who favor the construction of a nuclear power plant

And P2 = 0.56 represent the proportion of suburban residents are in favor And z would represent the statistic (variable of interest)  

Pv represent the value for the test (variable of interest)

Here we apply the Z test to find the difference then

Z = (0.74 - 0.56) / (0.64(1-0.64)(1/100+1/125) )^1/2

Now after solving

Z = 2.795.

Now The significance level provided is  ,and we can calculate the p value for this test.  

Since is a two tailed test the p value would be:  

P = (z>2,795)

P = 0.005.

So, The p value for the difference is 0.005.

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Answer:

14 points.

Step-by-step explanation:

To solve this problem, let's make an equation.

Let x represent the unknown number, or the amount of points Andre scored.

We know that Noah scored 10 points.

Noah scored twice as many points as Diego, therefore Diego must've scored 5 points, because 5 * 2 = 10.

So, if Diego scored 9 points less than Andre, and we know that Diego scored 5 points, then the equation we are left with is

x - 9 = 5

To solve, just add 9 to both sides.

x - 9 + 9 = 5 + 9

We are left with:

x = 14

So, Andre scored 14 points.

I would appreciate brainliest, if not that's ok!

Answer:

Step-by-step explanation:

5 x 5