Find the missing variable and indicated
angle measure.
A
X =
51°
(3x)°
B
C
mzBDC =

This is the last one for me to be done with the assignment please answer fast:) will mark brainiest

Answer:

(7,4)

Step-by-step explanation:

Reflection across x-axis is making the y value the opposite of what it was prior. (x, y)→(x,-y)

That is the formula.

(Pls mark me brainiest if it's correct :)

The polynomial for the number of miles between the two cars is d(t) = 5t + 150

Given that

Car A: 7t²+50t+150

Car B: 7t²+45t

The distance function is represented as

d(t) = 7t²+50t+150 - 7t² - 45t

So, we have

d(t) = 5t + 150

This means that t =3

So, we have

d(3) = 5 * 3 + 150

d(3) = 165

This means that d(t) = 200

So, we have

5t + 150 = 200

Evaluate the difference

5t = 50

So, we have

t = 10

Hence, the time is 10 hours

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Answer:
a. Y = X1 + X2 = 1(Heads) + 1(Heads) = 2
Z = X2 + X3 = 1(Heads) + 1(Heads) = 2
The joint probability mass function of (Y, Z) can be determined by multiplying the individual probabilities:
P(Y, Z) = P(Y) * P(Z)
P(Y, Z) = (2/8) * (2/8) = 1/16

b. Y and Z are not independent because they both include the result of the second coin toss (X2). If X2 is heads, both Y and Z will be affected, and if X2 is tails, both Y and Z will be affected. Therefore, the outcome of one variable affects the outcome of the other, meaning they are not independent.

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Answer:

the meadian is 8

Step-by-step explanation:

The value of the middle-most observation is called the median of the data.

The constant of proportionality, k, that relates the cost in dollars, y, to the number of tickets, x, is $62.30. The constant of proportionality that relates the number of cookies made, y, to the number of cups of flour used, x, is 16. The circumference of the circle is approximately 23.876 feet.

1. To find the constant of proportionality, k, we need to divide the cost of the tickets by the number of tickets.
k = y/x = $498.40/8 = $62.30

Therefore, the constant of proportionality, k, is $62.30.

2. To find the constant of proportionality, k, we need to divide the number of cookies made by the number of cups of flour used.
k = y/x = 48/3 = 16

Therefore, the constant of proportionality is 16.

3. To find the circumference of a circle, we use the formula C = πd, where C is the circumference and d is the diameter.
C = π(7.6) = 23.876 feet

The measurement closest to the circumference of the circle in feet is 23.876 feet.

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To create a multi-dimensional visualization of (a+b)^5, we can use a Pascal's Triangle, which shows the coefficients of each term in the expansion. Each row of the triangle corresponds to a power of (a+b), and the numbers in each row are the coefficients of the terms in the expansion. Here is a visualization of the first six rows of Pascal's Triangle:

```
           1
         1   1
       1   2   1
     1   3   3   1
   1   4   6   4   1
 1   5  10  10   5   1
```

The sixth row corresponds to the expansion of (a+b)^5, and the numbers in this row are the coefficients of the terms in the expansion: 1, 5, 10, 10, 5, 1. We can use these coefficients to create a multi-dimensional visualization of (a+b)^5:

```
            a^5
         5a^4b
      10a^3b^2
    10a^2b^3
  5ab^4
b^5
```

Each term in the expansion is represented by a different level in the visualization, with the coefficient of each term shown at the beginning of the level. This multi-dimensional visualization allows us to see the relationship between the coefficients and the terms in the expansion of (a+b)^5.

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The solution is: population in 2015 will be 40,115,896

The exponential is an example of a mathematical function that is useful in determining if something is increasing or decreasing exponentially is the exponential function. As implied by its name, an exponential function uses exponents.

But take note that an exponential function does not have a variable as its exponent and a constant as its base (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).

calculate the average percent change in population in California from 2000-2009.

Add all the percentage than divide by 9 since there is 9 year

1.97+1.71+1.65+1.42+1.22+1.02+1.07+1.22+0.93/9 = 1.3567%

The number of periods from 2009 to 2015 is 6:

Future: 37,000,000•(1+0.013567)^6 = 40,115,896.06

Hence, the solution is: population in 2015 will be 40,115,896

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the actual distance the Patel family will travel by the time they reach Clarksville is 72 miles.

What is the distance in math?

As its name implies, any distance formula outputs the distance (the length of the line segment). In coordinate geometry, there is a number of formulas for finding distances, such as the separation between two points, the separation between two parallel lines, the separation between two parallel planes, etc.

Smithville to Jonesville distance in map = 3(3/4) inches = (15/4) inches .

given that,

(1/2) inch = 4 miles .

1 inch = 8 miles .

Distance from Smithville to Jonesville = (15/4) * 8 = 30 miles .

similarly,

Jonesville to Clarksville distance in map = 5(1/4) = (21/4) inches .

Distance from Jonesville to Clarksville = (21/4) * 8 = 42 miles .

The actual distance the Patel family will travel by the time they reach Clarksville = 30 + 42 = 72 miles

Hence, the actual distance the Patel family will travel by the time they reach Clarksville is 72 miles.

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The volume of the silo is approximately 9,685.73 cubic feet.

What is volume of a cylinder?

The volume of a cylinder can be calculated using the formula:

[tex]V = \pi r^2h[/tex]  where V is the volume, r is the radius of the base of the cylinder, and h is the height of the cylinder.

We are given that the diameter of the silo is 17 feet. The radius, which is half the diameter, is therefore:

r = 17/2 = 8.5 feet

We are also given that the height of the silo is 42 feet.

Using the formula for the volume of a cylinder, we can calculate the volume of the silo:

[tex]V = \pi r^2h[/tex]

[tex]= \pi(8.5)^2(42)[/tex]

≈ 9,685.73 cubic feet

Therefore, the volume of the silo is approximately 9,685.73 cubic feet.

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We can represent 1,250 raised to the power of three-fourths as the sum of its prime factors in order to write it in the simplest radical form:

1,250 = 2 × 5 × 5 × 5 × 5

Next, we can formulate the statement as follows by using the fact that (a b)c = ac bc:

[tex](2\times5^3)^3/4 = 2^{(3/4)} \times(5^3)^{(3/4)[/tex]

Now, by using the fourth root of 53, we can simplify the statement underneath the radical:

[tex](2\times5^3)^3/4 = 2^{(3/4)} \times5^{(9/4)[/tex]

As a result, the value under the radical is 5(9/4), or the fifth root of five multiplied by nine. 5 being a prime integer prevents any further simplification of this phrase.

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Answer:

5

Step-by-step explanation:

The answer above is correct.

Since the right side of the equation is equal to the identity matrix, we can conclude that the diagonal elements are equal to 1.

To find \( A \), start by multiplying both sides by \( (4A) \). Then, you will have \( (4A)^{-1}(4A)=\left[\begin{array}{ll} 5 & 2 \\ 4 & 2 \end{array}\right] \). This simplifies to \( \left[\begin{array}{ll} 5A & 2A \\ 4A & 2A \end{array}\right] \). Since the right side of the equation is equal to the identity matrix, we can conclude that the diagonal elements are equal to 1. This means that \( 5A=1 \) and \( 2A=1 \). Solving these two equations yields \( A=\frac{1}{5} \).

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The solution to the all given equations is that they have infinite many real solutions

Equation (a)

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

√(x^2-14x+49)=x-7

When both sides of the equations are squared, we have:

x^2 - 14x + 49 = x^2 - 14x + 49

Evaluate the like terms

0 = 0

This represents infinite many solutions

Equation (b)

Here, we have:

√(4x^2-20x+25)=5-2x

When both sides of the equations are squared, we have:

4x^2-20x+25 = 25 - 20x + 4x^2

Evaluate the like terms

0 = 0

This represents infinite many solutions

For the remaining expressions, we have the following (using the above steps)

Equation (c)

√(y^4+2y^2+1) = y^2 + 1

y^4 + 2y^2 + 1 = y^4 + 2y^2 + 1

0 = 0

Equation (d)

√(x^2+2x+1)=x+1

x^2 + 2x + 1 = x^2 + 2x + 1

0 = 0

Equation (e)

√(y^2-20y+100)=y-10

y^2 - 20y + 100 = y^2 - 20y + 100

0 = 0

Equation (f)

√(y^6-2y^3+1)=y^3-1

y^6-2y^3+1 = y^6-2y^3+1

0 = 0

Hence, the equations have infinite solutions

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a)1.597

b)0.1101

c)The population proportion is not equal to 0.14

The test statistic for this sample is 1.597. The corresponding p-value is 0.1101. The p-value is greater than alpha, so the decision is to fail to reject the null. As such, the final conclusion is that there is not sufficient evidence to warrant rejection of the claim that the population proportion is not equal to 0.14. This conclusion is based on the Binomial Distribution and Statistic, which use the p-value to assess the evidence against the null hypothesis.

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The polynomial without fractions is 2x^4 + x^3 + 7x^2 + 4x - 4.

To make the polynomial contain only whole numbers, we need to find the least common denominator (LCD) of the fractions and multiply each term by the LCD.

The LCD of the fractions 1/2 and 7/2 is 2.

So, we multiply each term by 2 to get rid of the fractions:

2(x^4) + 2(1/2 x^3) + 2(7/2 x^2) + 2(2x) + 2(-2)

Simplifying the terms gives us:

2x^4 + x^3 + 7x^2 + 4x - 4

Therefore, the polynomial without fractions is 2x^4 + x^3 + 7x^2 + 4x - 4.

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The lengths in the left side are proportional to the ones in the right side, with that we know that x = 10.

The lengths in the left side and the ones in the right side are proportional, such that the scale is k.

Then we can write:

21*k = 27

(x - 3)*k = (x - 1)

With the first equation, we can find the value of k, then we will get.

k = 27/21

Replacing that in the second equation we will get:

(x - 3)*27/21 = (x - 1)

Now we can solve this.

(x - 3)*27 = 21*(x - 1)

Now we can solve this for x.

27x - 81 = 21x - 21

27x - 21x = 81 - 21

6x = 60

x = 60/6 = 10

x = 10

That is the value of x.

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The given angle measures 120 degrees, which is indeed an interior angle of a regular hexagon

What is hexagon ?

A hexagon is a six-sided polygon, which is a two-dimensional geometric shape with straight sides. The word hexagon comes from the Greek words "hexa" meaning "six" and "gonia" meaning "angle."

To find the value of x in the regular hexagon, we can start by noting that the interior angles of a regular hexagon are all congruent and measure 120 degrees.

Next, we can see that the given angle (11x + 21)° is an interior angle of the hexagon. Therefore, we can set this angle equal to 120 degrees and solve for x:

11x + 21 = 120

11x = 99

x = 9

Therefore, the value of x is 9.

Note that we can check our answer by substituting x = 9 into the original equation:

11x + 21 = 11(9) + 21 = 120

Therefore, the given angle measures 120 degrees, which is indeed an interior angle of a regular hexagon

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Answer: 80 meters wide and 100 meters long.

Step-by-step explanation:

Well, if the park has to have a larger area, but the same perimeter, all you need to do in this case is turn 70 to 80 and 110 to 100.

80 + 80 + 100 + 100 = 360 meters in perimeter

70 x 110 = 7700

80 x 100 = 8000   ← This has greater area than the park above

A/J≅B

The Fundamental Homomorphism Theorem states that for any homomorphism f from a ring A to a ring B, the kernel of f (the set of elements of A mapped to the identity of B) is an ideal of A. Applying this to the given problem, let A be a commutative ring and f:A→A be the homomorphism f(x)=x2. The kernel of f is J = {x∈A:x2=0}. Then J is an ideal of A.

To prove that (x+y)2=x2+y2 for all x,y∈A, consider (x+y)2 = (x+y)(x+y) = x2 + xy + yx + y2. Since A is commutative, xy=yx and so (x+y)2=x2+2xy+y2. Since 2xy=2yx, then (x+y)2=x2+y2, as desired.

Now, we can conclude that f is a homomorphism from A to A. In addition, B={x2;x∈A} is a subring of A, since for all x,y∈A, (x+y)2=x2+y2 and so x2+y2∈B. Moreover, since J is an ideal of A, A/J≅B.

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To find Pearson's correlation coefficient, we need to first calculate the means, standard deviations, and covariance of the given data. Let's first convert the heights in km to m for ease of calculation.

t (s) h (m)

0 25,000

5 28,000

10 30,000

15 31,000

25 33,000

30 34,000

(a) Pearson's correlation coefficient:

We can use the formula

r = (nΣxy - ΣxΣy) / sqrt[(nΣx² - (Σx)²)(nΣy² - (Σy)²)]

where n is the number of data points, Σ is the sum, and x and y are the variables being compared (time and height, in this case).

Using the given data, we get:

n = 6

Σx = 85

Σy = 181000

Σx² = 1375

Σy² = 503,710,000

Σxy = 2,886,000

Substituting into the formula, we get:

r = (62,886,000 - 85181000) / sqrt[(61375 - 85²)(6503710000 - 181000²)]

r = 0.994

Therefore, Pearson's correlation coefficient is 0.994, indicating a strong positive correlation between time and height.

(b) Rocket's acceleration:

We can use the formula:

h = ut + (1/2)at²

where h is the height, u is the initial velocity (assumed to be 0), t is the time, and a is the acceleration.

Rearranging, we get:

a = 2h/t²

Using the final height of 34,000 m and the time of 30 seconds (when the rocket reaches this height), we get:

a = 2*34000/(30²)

a = 75.6 m/s²

Therefore, the rocket's acceleration is 75.6 m/s².

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Answer:

I think it is 0.68. Try that. If not sorry.

well, the tax is cleary just 20.95 - 20 = 0.95, so 95 cents, now, if we take 20(origin amount) to be the 100%, what is 0.95 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 20 & 100\\ 0.95& x \end{array} \implies \cfrac{20}{0.95}~~=~~\cfrac{100}{x} \\\\\\ 20x=95\implies x=\cfrac{95}{20}\implies x=4.75[/tex]

If the cost for using 21 HCF of water is $35.39.  the cost for using 56 HCF of water is  $82.64.

We can use the two given data points to find the slope and y-intercept of the linear function that represents the monthly cost of water use.

Let's use (21, 35.39) and (57, 83.99) as our two data points.

First, let's find the slope of the line:

slope = (y2 - y1) / (x2 - x1)

slope = (83.99 - 35.39) / (57 - 21)

slope = 48.6 / 36

slope = 1.35

Now that we have the slope, we can use either of the two data points to find the y-intercept. Let's use (21, 35.39):

y = mx + b

35.39 = 1.35 * 21 + b

35.39 = 28.35 + b

b = 35.39 - 28.35

b = 7.04

So the linear function that represents the monthly cost of water use is:

y = 1.35x + 7.04

where y is the cost (in dollars) and x is the amount of water used (in HCF).

Now we can use this function to find the cost for using 56 HCF of water:

y = 1.35x + 7.04

y = 1.35 * 56 + 7.04

y = 82.64

So the cost for using 56 HCF of water is  $82.64.

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Ann's investment in Cilla Shipping bonds has increased in value more, by $33,605.41

What is purchase price?

The complete cost of purchasing an asset is known as the original cost. The whole costs associated with purchasing and using an asset are taken into account when calculating its initial cost.

To determine which of Ann's investments has increased in value more, we need to compare the current value of the bonds and the stock to their original purchase value.

First, let's calculate the purchase price of the bonds:

7 bonds x $500 par value x 0.95626 market rate = $3,349.82

So, Ann initially invested $3,349.82 in the Cilla Shipping bonds.

Next, let's calculate the purchase price of the stock:

125 shares x $28.00 per share = $3,500.00

So, Ann initially invested $3,500.00 in the Cilla Shipping stock.

Now, let's calculate the current value of the bonds:

7 bonds x $500 par value x 1.06384 market rate = $37,286.48

So, the current value of the bonds is $37,286.48.

Let's also calculate the current value of the stock:

125 shares x $30.65 per share = $3,831.25

So, the current value of the stock is $3,831.25.

To determine which investment has increased in value more, we can calculate the percentage increase for each investment:

Percentage increase in bonds = [(current value - purchase price) / purchase price] x 100%

= [(37,286.48 - 3,349.82) / 3,349.82] x 100%

= 1010.46%

Percentage increase in stock = [(current value - purchase price) / purchase price] x 100%

= [(3,831.25 - 3,500.00) / 3,500.00] x 100%

= 9.48%

So, we can see that the bonds have increased in value more than the stock, by a significant amount.

The bonds have increased in value by 1,010.46%, while the stock has increased in value by only 9.48%. The bonds have increased in value by a total of $33,936.66 ($37,286.48 - $3,349.82), while the stock has increased in value by a total of $331.25 ($3,831.25 - $3,500.00).

Therefore, Ann's investment in Cilla Shipping bonds has increased in value more, by $33,605.41 ($33,936.66 - $331.25).

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So the slope-intercept form of the equation of the line passing through the two given points is:

y = -5x + 26

If an equation is expressed in the form y=mx+b, where m denotes the slope and b the y-intercept, it is said to be linear.

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

To find the slope of the line passing through the two given points (5,1) and (2,16), we can use the formula:

m = (y2 - y1)/(x2 - x1)

where (x1, y1) = (5,1) and (x2, y2) = (2,16)

m = (16 - 1)/(2 - 5) = -5

So the slope of the line is -5.

To find the y-intercept b, we can use the point-slope form of the equation of a line:

y - y1 = m(x - x1)

Using the point (5,1) and the slope m = -5, we get:

y - 1 = -5(x - 5)

Simplifying this equation, we get:

y = -5x + 26

So the slope-intercept form of the equation of the line passing through the two given points is:

y = -5x + 26

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This is shorter than the path made up of the two shortest sides by 33%.

In the case where ABC is an equilateral triangle, the point S is the center of the triangle. The total length of the network in this case is the sum of the lengths of the three sides (AS, BS, and CS) of the triangle, which is 3 times the length of a single side.

This is shorter than the path made up of the two shortest sides by 33%,

since the total length of the path made up of the two shortest sides is the sum of the lengths of the two sides, which is 2 times the length of a single side.

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Answer:

$4.8

Step-by-step explanation:

5 for $3

So $3 ÷ 5 to get the price of one

Answer is 60c or $0.6

Then you multiply $0.6 with 8 to get the price of 8 oranges

So $0.6 x 8 = $4.8

Answer:

the cost of 8 oranges is 4.8$

step by step explanation

using ratio amd proportion

let x be the unknown amount

[tex]5 = 3 \\ 8 = x \\ cross \: multiply \\ 5x = 24 \\ divide \: \: both \: sides \: by \: 5 \\ \frac{5x}{5} = \frac{24}{5} \\ x = \frac{24}{5} \\ x = 4.8[/tex]

therefore the answer is 4.8 dollars will buy 8 oranges

thank you

Step-by-step explanation:

To fence a circular park with 3 rounds, we need to find the total length of wire required to go around the park 3 times.

The circumference of a circle is given by the formula:

C = πd

where C is the circumference, π is the constant pi, and d is the diameter.

Substituting the given diameter of the park (280 m) into the formula, we get:

C = π * 280 m

≈ 879.65 m

So the length of wire required to fence the park once is approximately 879.65 m.

To fence the park three times, we need to multiply this length by 3:

3 rounds of wire = 3 * 879.65 m

= 2638.95 m

Therefore, the length of wire required to fence a circular park of diameter 280 m with 3 rounds is approximately 2638.95 m.

There will be 40 cans that contain between 11.95 and 11.98 ounces of drink.

To calculate this, the total number of cans in the delivery truck must first be divided by the total range of ounces in the cans (12.00-11.95 = 0.05). 1500/0.05 = 30000.

This number is then multiplied by the range of ounces being searched for (11.98-11.95 = 0.03). 30000*0.03 = 900.

Finally, the total number of cans is divided by the total range of ounces again (12.00-11.95 = 0.05). 900/0.05 = 40 cans.

Therefore, 40 cans contain between 11.95 and 11.98 ounces of drink.

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