A dilated image can turn from it's original position

Answer: 48 more monthly payments

Step-by-step explanation:

Joey's actual speed is 143.59 mph, and his actual direction is slightly west of northwest.

Given that Joey's aircraft speed: 188 mph

Wind speed: 60 mph

Wind direction: 150 degrees (measured clockwise from due north)

We can consider the wind as a vector, which has both magnitude (speed) and direction.

The wind vector can be represented as follows:

Wind vector = 60 mph at 150 degrees

We convert the wind direction from degrees to a compass bearing.

Since 150 degrees is measured clockwise from due north, the compass bearing is 360 degrees - 150 degrees = 210 degrees.

Joey's aircraft speed vector = 188 mph at 0 degrees (due northwest)

Wind vector = 60 mph at 210 degrees

To find the resulting velocity vector, we add these two vectors together. This can be done using vector addition.

Converting the wind vector into its x and y components:

Wind vector (x component) = 60 mph × cos(210 degrees)

= -48.98 mph (negative because it opposes the aircraft's motion)

Wind vector (y component) = 60 mph×sin(210 degrees)

= -31.18 mph (negative because it opposes the aircraft's motion)

Now, we can add the x and y components of the two vectors to find the resulting velocity vector:

Resulting velocity (x component) = 188 mph + (-48.98 mph) = 139.02 mph

Resulting velocity (y component) = 0 mph + (-31.18 mph) = -31.18 mph

Magnitude (speed) = √((139.02 mph)² + (-31.18 mph)²)

= 143.59 mph

Direction = arctan((-31.18 mph) / 139.02 mph)

= -12.80 degrees

The magnitude of the resulting velocity vector represents Joey's actual speed, which is approximately 143.59 mph.

The direction is given as -12.80 degrees, which indicates the deviation from the original northwest direction.

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Keegan's error is assuming that the product of the slopes of any two sides of a triangle should be -1 for the triangle to be a right triangle.

To determine if the triangle LMN is a right triangle, Keegan should instead calculate the lengths of the three sides of the triangle and check if they satisfy the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

To correct his approach, Keegan should calculate the lengths of sides LM, MN, and NL using the coordinates of the vertices and then check if the Pythagorean theorem holds true.

If the squared length of one side is equal to the sum of the squares of the other two sides, then the triangle LMN is a right triangle.

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By the Central Limit Theorem, if a sampling distribution with a simple random sample has a number of samples greater than or equal to 30 or the population is normally distributed then this sampling distribution of the sample mean is approximately normal.

If the population mean is μ and standard deviation σ and number of samples n, then the mean and standard deviation of sampling distribution x are given below:

Here =3.5 and =1.1

1) a)This is a sampling distribution with n=19.

The mean of the sampling distribution is the same as the population mean.

So the answer is 3.5

b) Here standard deviation is

0.25

So the answer is 0.25

2) For larger sample size mean will be always the same as the population mean. So it will not change.

When the sample size increase, the value of n get increased. So the standard deviation gets decreases(n is the value at the denominator).

3)The equation to find z score for x

\(\frac{x - mean}{standard deviation}\)

a) Here we need to use individual distribution. So z score of 5.3 is

5.3 – 3.5/0.2523

So answer 1.64

b) Here we need to find a z score for 5.3 for 19 sample.

So

5.3 – 3.5/0.2523573 = 7.13

SO the answer is 7.13

c) Larger z score means lower probability. So here more probability is to collect one tomato which has a lower z score.

SO the answer is "one tomato with diameter 5.3 cm"

d) z score for sample average 3.8 is

3.8 – 3.5/ 0.2523573 = 1.19

So the answer is 1.19

e) Now z score is lower for the sample average 3.8 than single tomato.

So the answer is "group of 19 tomatoes with an average diameter of 3.8 cm"

4) By empirical rule approximately middle 68% of data are within one standard deviation of the mean. That is between mean-SD to mean +SD

a) Here 68% is between 3.5-1.1 = 2.4 and 3.5+1.1= 4.6

So the answer is between 2.4 and 4.6

b) Here, we consider sample. So we need to use standard deviation =0.25

So 68% is between 3.5-0.25 = 3.25 and 3.5+0.25=3.75

So the answer is between 3.25 and 3.75

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The equation that relates the total amount of gasoline in the tank is;

y = x + 4.

For the given question;

The amount of gasoline already present in tank is 4 gallons.

The number of gallons filled above the the previous gasoline is x.

Thus, now the total gasoline present in this tank is x + 4.

If y shows the total gasoline in tank;

Then,

y = x + 4.

Therefore, the total amount of gasoline present in tank is given by equation is; y = x + 4.

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The answer is 1) V = \(2\pi\int\limits(2)+ {x} \, dx\); 2) V = \(2\pi \int\limits(1 - 2x) - 2x dx\); 3) V =\(2\pi \int\limits {\sqrt{2} } \, dx\) ; 4) V = \(2\pi\int\limits {\sqrt{(-2/2)(2-2)} \ dx\) .

1) The volume of the shell is then given by the product of the area of its curved surface and its height. The height is equal to 2 - (-2) = 4, and the radius is equal to the minimum of the distances from x = 2 to the two curves, which is x = 2 - () = 2 + . The volume of the solid is then given by the definite integral:

V = \(2\pi\int\limits(2)+ {x} \, dx\) = \(2\pi [(/3) + 2x]\) evaluated from 0 to 1 = (4/3)π.

2) The height of the region is equal to  - (2x) =  -2x, and the radius is equal to the minimum of the distances from x = 1 to the two curves, which is x = 1 - (2x) = 1 - 2x. The volume of the solid is then given by:

V = \(2\pi \int\limits(1 - 2x) - 2x dx\)=\(2\pi [/5 - 2/3 + /2]\) evaluated from 0 to 1 = (8π/15).

3) The height of the region is equal to (2-x) -  = 2-x. The radius is equal to the minimum of the distances from x = 0 to the two curves, which is x = The volume of the solid is then given by:

V =\(2\pi \int\limits {\sqrt{2} } \, dx\) = \(2\pi [(x^4/4)]\) evaluated from 0 to √2 = (π/2).

4) The height of the region is equal to () - (2-) = 2 - 2. The radius is equal to the minimum of the distances from x = 0 to the two curves, which is x = √((2-)/2). The volume of the solid is then given by:

V = \(2\pi\int\limits {\sqrt{(-2/2)(2-2)} \ dx\) = \(4\pi [(2/3)\± (2\sqrt{2} /3)]\)

The complete Question is:

Use the shell method to find the volumes of the solids generated by revolving the regions bounded by the curves and lines in about the

1.  y = x, y = -x/2, and x = 2

2. y = 2x, y = x/2, and x = 1

3. y = x/2, y = 2-x, and x = 0

4. y = 2-x/2, y = x/2, and x = 0

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Answer:

1 is 69 degrees. 2 is 111 degrees

Step-by-step explanation:

1 is 69 because when a line intersects with 2 paralell lines, 1 and the 69 degree angle are the same degree. we know that the second angle plus 69 degrees is 180, so 180-69 is 111.

Question:

what are the options on the sides?

Answer:

1: 69 by the      ?

2: 111 by the      ?

Answer:

1000

Step-by-step explanation:

For rounding questions, you want to look at the place value to the right of the digit it wants you to round to. If that place value to the right of the digit you need to round is less than 5, you round down. If the place value to the right of the digit you need to round is 5 or greater, then you round up. In your situation, the place value you want to round is the hundreds place, so we need to look at the tens value. The tens value is 4, which is less than 5, so we round down. Therefore, the answer would be 1000.

The numbers are compared with the inequality symbols as follows:

a. 3 > -3.

b. 12 < 24.

c. -12 > -24.

d. 5 = - (-5).

e. 7.2 > 7.

f. -7.2 < 7.

g. -1.5 = -3/2.

h. -4/5 > -5/4.

i. -3/5 = -6/10.

j. -2/3 < 1/3.

The inequality symbols used in this problem are defined as follows:

The observations to some items are given as follows:

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Answer:

\( 6.7 -0.674 *1.1 =5.96\)

\( 6.7 +0.674 *1.1 =7.44\)

Step-by-step explanation:

Let X the random variable that represent the  head breadths of a population, and for this case we know the distribution for X is given by:

\(X \sim N(6.7,1.1)\)  

Where \(\mu=6.7\) and \(\sigma=1.1\)

We want the range of the middle 50% values on the distribution. Since the normal distribution is symmetrical we know that in the tails we need to have the other 50% and on each tail 25% by symmetry.

We can use the z score formula given by:

\(z=\frac{x-\mu}{\sigma}\)

The critical values that accumulates 0.25 of the area on each tail we got:

\( z_{crit}= \pm 0.674\)

And if we solve x from the z score we got:

\( x = \mu \pm z \sigma\)

And replacing we got:

\( 6.7 -0.674 *1.1 =5.96\)

\( 6.7 +0.674 *1.1 =7.44\)

Answer:

-5/4 or -1.25

Step-by-step explanation:

the points are (-6, -3) and (-2, -8)

the formula for slope is y2-y1/x2-x1

y2 is -8

y1 is -3

x2 is -2

x1 is -6

(-8+3)/(-2+6)

(-5)/(4)

-5/4 or -1.25

The expression without absolute value bars is 3.84.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

|√10 - 7 |

= | 3.16 - 7 |

= | -3.84 |

= 3.84

Thus,

The value of the expression is 3.84.

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This is a mathematical word problem, so keep that in mind.

Hence, the reading for January 9 is -1°F (Option B)

The reading for Friday in the middle of the month is +1°F  (Option C); and

A mathematical word problem is a mathematical question that is stated in the form of a sentence. See the answers below.

The answers are given in a tabular form to enable proper comprehension:

Date                              Low-Temperature reading

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The rate at which the surface area of the sphere is increasing is 16π cm^2/s.(option-c)

To find the rate at which the area of a sphere increases when its radius is increasing at a given rate, we can use the formula for the surface area of a sphere, which is A =\(4πr^2\), where r is the radius of the sphere and A is its surface area. We can then differentiate this with respect to time t to find the rate of change of area with respect to time, which is given as dA/dt.

Given that the radius of the sphere increases at the rate of 0.4 cm/s, we can find the rate of change of area as follows:

- Differentiate the surface area formula with respect to time t:

dA/dt = d/dt \((4πr^2)\)

- Use the chain rule to differentiate\(r^2\)with respect to time t:

d/dt (r^2) = 2r (dr/dt)

- Substitute the value of dr/dt given as 0.4 cm/s, and the radius value as 5 cm:

dA/dt = 4π(5)^2 (2 × 0.4)

- Simplify the expression to get the rate of change of area with respect to time:

dA/dt = 16π \(cm^2/s\)

(option-c)

Answer:

area of parllelogram=base×height=(4+8)×7=12×7=

84m²

Answer:

95

Step-by-step explanation:

Answer:

95

Step-by-step explanation:

8455 divided by 89

Answer:

y = 3x - 11

Step-by-step explanation:

(3, -2) and (5, 4)

m = 4+2/5-3

m = 6/2

m = 3

y = 3x + b

4 = 3(5) + b

4 = 15 + b

b = -11

y = 3x - 11

Answer:

det(2*3) also det(6)

Step-by-step explanation:

this is just filler so I can send it

So the solution is x ≥ 3/10 for the inequality that represents -1/5 is greater than or equal to the product of -2/3 and a number.

Inequality is a mathematical statement that compares two values, expressing that one is greater than, less than, or equal to the other. It can use symbols such as < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to), or ≠ (not equal to). Inequalities can involve variables and are often used to represent constraints or limits in real-world situations.

Here,

Let's use x to represent the number we're trying to find.

The inequality that represents "-1/5 is greater than or equal to the product of -2/3 and a number" is:

-1/5 ≥ (-2/3)x

To solve for x, we want to isolate x on one side of the inequality. We can start by multiplying both sides by -3/2, remembering that when we multiply or divide by a negative number, we need to flip the inequality:

(-1/5) × (-3/2) ≤ x

3/10 ≤ x

Therefore, x is greater than or equal to 3/10.

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Answer:

1. 3/4 2. -1/3

Step-by-step explanation:

#1:

Given rise/run, the rise is 3, and the run, is 4, so... 3/4

#2:

Given rise/run, the rise is 2, and the run is 6, so... you get 2/6 = 1/3. However, don't forget that the slope is negative, so it'll be -1/3.

Answer:

3. 3/4

4. -1/3

Step-by-step explanation:

Since the rise and run formula is slope = (y1-y2)/(x1-x2),

3. (2 - (-1) ) / (2- (-2) ) = 3/4

4. (-1- (-3) ) / (-2 - (-4) ) = -2/6 = -1/3

The slope of the line that passes through the points (0, -6) and (0, -5)is undefined.

Slope is line's inclination with regard to the horizontal is quantified numerically. In analytical geometry, a line, ray, or line segment's slope is the ratio of the vertical to horizontal distance between any two points on the line, ray, or line segment ("slope equals rise over run").

In differential calculus, the derivative of a function yields the slope of a line tangent to its graph, which represents the function's instantaneous rate of change with respect to changes in the independent variable.

Ok so slope is the change in y over change in x.

Your why changed from 6 to -5 so you can write this as -5 - 6

Your x didn’t change it went from 0 to 0

You can write this as 0-0

Now -11/0 is what you end up with as a slope.

Any number divided by 0 is undefined so your slope is undefined.

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The critical value for a confidence level of 98% with a sample size of 32 is given as follows:

t = 2.4528.

The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the equation presented as follows:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

The variables of the equation are listed as follows:

The critical value, using a t-distribution calculator, for a two-tailed 98% confidence interval, with 32 - 1 = 31 df, is t = 2.4528.

(df is one less than the sample size).

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An example of a function that models a linear relationship between two quantities, x and y is y = mx + b

We need to use the equation of a straight line, which is commonly expressed in slope-intercept form as:

y = mx + b

In this function, x represents the independent variable, m is the slope of the line, and b is the y-intercept. To use this function, we simply plug in the values of x, m, and b that correspond to the specific relationship we are modeling.

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The measure of side length x in the right triangle is approximately 6.03 cm.

The figure in the image is a right triangle having one of its interior angle at 90 degrees.

From the figure:

Angle θ = 37 degrees

Adjacent to angle θ = 8 cm

Opposite to angle θ = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( θ ) = opposite / adjacent

Plug in the given values and solve for x:

tan( 37 ) = x / 8

x = tan( 37 ) × 8

x = 6.03 cm

Therefore, the value of x is 6.03 cm.

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so umm this is the answer

Perimeter = 2(length + width)

P = 2(L+w)

We are told the length is 3 times the width...

L = 3w

64 = 2(3w + w)

64 = 2(4w)

64 = 8w

8 = w

L = 3w = 3(8) = 24 cm

Length is 24 cm

width is 8 cm

Answer:

9.72

Step-by-step explanation:

1.8 x 1.8 x 3 = 9.72