There are 55 trucks and c cars in a parking lot. The equation 55 + c = 78 can be used to find c. What is the value of c?

Answer:

a. Given

b. thru any 2 points there exists a line (you can draw a line)

c. Definition of Regular Polygon

d. Definition of Regular Polygon

e. Given

f. Def of Midpoint

g. SAS: Side-Angle-Side congruence

h. CPCTC - Corresponding Parts of Congruent Triangles are Congruent

i. Definition of Regular Polygon

j. Reflexive

k. SSS: Side-Side-Side congruence

l. CPCTC

Step-by-step explanation:

I encourage you to look up all of the above reasons to get a better understanding of what they are!!

Answer:

Just simplify by isolating the variable.

To do this, you need to get rid of the coefficient.

This means dividing both sides by 6.

6m / 6 = m

60 / 6 = 10

m = 10 is the answer.

Step-by-step explanation:

Answer:

9 x 3/9

27/9

27 ÷ 9

Step-by-step explanation:

You're welcome.

Answer:

x=-3y+12

Step-by-step explanation:

\(4-\frac{x}{3}=y\)

You can subtract y from both sides and add (x/3) to both sides to isolate the variable that you're trying to solve.

\(-y+4=\frac{x}{3}\)

Multiply both sides by 3

\(-3y+12=x\)

Answer:

The vertex of the graph is:

As this parabola opens upwards, the vertex is the minimum point.

From inspection of the graph, vertex = (-3, -1)

Equation of the graph

From inspection we can see that the x-intercepts are when
x = -4 and x = -2

\(\sf x = -4 \implies x+4=0\)

\(\sf x = -2 \implies x+2=0\)

Therefore:

\(\sf y=(x+4)(x+2)\)

Expand:

\(\sf \implies y=x^2+6x+8\)

Answer:

\(B)f(x) = {x}^{2} + 6x + 8\)

Step-by-step explanation:

Let \( f(x)=x^2\) be the parent function. With transformation of function, firstly,we know that,

algebraically

Clearly, The parabola is moved down by 1 unit thus, C is -1. Therefore our function transforms to

secondly, we know that,

algebraically,

in case,

Since the parabola is moved left by 3 unit, C is +3, and hence Our function eventually becomes

simplifying it yields:

\(\implies \boxed{f(x) = {x}^{2} + 6x + 8}\)

Hence,B is our required answer

The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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Answer: 72

Step-by-step explanation:

Given:

To Determine: The probability that a randomly selected individual will take less than 5 minutes to select a shoe purchase

Solution

P(x<5)

The z score formula is given as

Substitute the given into the formula

The probabilty would be

Hence, the probability is 0.045, which is unusual as it is less than 5%

The dataset represented by the given box plot is 12, 15, 15, 17, 19, 19, 20, 22, 24 option B.

A box plot, sometimes called a box whisker plot, shows the distribution of a dataset graphically. The minimum value, the first quartile (25th percentile), the median (50th percentile), the third quartile (75th percentile), and the maximum value are the five main values used to standardise this method of displaying the distribution of data.

Two whiskers that extend from a rectangular box make up a box plot. The range of values between the first and third quartiles is represented by the box, which is known as the interquartile range (IQR).

From the given box plot we observe that the minimum value is 12 and the maximum value is 24.

Here, the median is 19.

From the information the two data set that have the corresponding values are:

12, 15, 15, 17, 19, 19, 20, 22, 24

12, 15, 17, 17, 19, 19, 22, 22, 24

The lower quartile is 15.

The upper quartile is 21.

Calculating the lower quartile for the data sets:

12, 15, 15, 17, 19, 19, 20, 22, 24

Lower quartile = 15

Hence, the dataset represented by the given box plot is 12, 15, 15, 17, 19, 19, 20, 22, 24 option B.

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Answer:

  $31,384.28

Step-by-step explanation:

If you're familiar with Pascal's triangle, you probably recognize the digits of the given values match successive lines of that triangle. This immediately suggests that the base of the exponential function is exactly 1.1, and the model can be written immediately as ...

  y = 10000(1.1^x)

For x=12, the value of the investment is predicted to be ...

  y = 10,000(1.1^12) ≈ 31,384.28

The value of the investment 12 years after purchase is predicted to be $31,384.28.

__

In any event, a graphing calculator or spreadsheet can deduce the model for you. The attached calculator output shows it to be as described above.

Answer:

1.3 repeated is the answer

Answer:

Well if there is 8 cups and you want to divide it equally into 6 containers that would be 1.33 cups in each container

The equation of a line that passes through points (2,5) and (4,3) is

y = -x+7.

Finding the equation of a line:

First, we need to find out the slope for the given points.

(X1,Y1) = (2,5)

(X2,Y2) = (4,3)

formula for slope(m) = \(\frac{Y2 - Y1}{X2 - X1}\)

substitute the points in the above formula

\(\frac{3 - 5}{4 - 2}\) = \(\frac{-2}{2}\)

\(\frac{-2}{2}\) = -1

slope for the given points(m) = -1.

m = -1

The equation of a line is y-y1 = m(x-x1), where x and y are variables.

substituting the values in the above equation then :

y-5 = -1(x-2)

y-5 = -x+2

y+x = 2+5

x+y = 7

y = -x+7

Therefore, the equation of the line passing through the points (2,5) and (4,3) is y = -x+7

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Answer:

well there are eight total red cookies and there been two that had been bitten out of already that makes the ration 2:8

Answer:

3x+9 < - 42

Step-by-step explanation:

In this relationship, the arc length is inversely Proportional to the area. As the area increases, the arc length decreases, and vice versa.

The relationship between the arc length (s) and the area (a) of a sector, let's start by understanding the formulas for each.

The arc length of a sector can be calculated using the formula:

s = θr

where s is the arc length, θ is the central angle of the sector in radians, and r is the radius.

The area of a sector can be calculated using the formula:

a = (1/2)θr^2

where a is the area, θ is the central angle of the sector in radians, and r is the radius.

Given that the arc length is equal to one fourth of the radius, we can express this relationship as:

s = (1/4)r

Now, let's express the central angle (θ) in terms of the area (a).

From the formula for the area of a sector, we can rearrange it to solve for θ:

a = (1/2)θr^2

Multiplying both sides by 2/r^2, we get:

2a/r^2 = θ

Substituting this value of θ back into the equation for the arc length (s), we have:

s = (1/4)r = (1/4)r(2a/r^2) = (1/2a)r

Therefore, we have expressed the arc length (s) as a function of the area (a) of the sector:

s = (1/2a)r

In this relationship, the arc length is inversely proportional to the area. As the area increases, the arc length decreases, and vice versa.

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Answer:

d is the answer

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

\(?=(10x^{2} -6x+1)-(5x+7)-(8x^{2} -4x)\)

  \(=10x^{2} -8x^{2} -6x-5x+4x+1-7\)

 \(=2x^{2} -11x-4x-6\)

  \(=2x^{2} -7x-6\)

Hope this helps

Ended up getting the answer wrong because the other person this is the correct answer.

(8,2)

Enjoy and Happy Holidays :)

The image of (2,8) after a reflection over the line y = x is (8, 2).

The given coordinate is (2, 8).

Reflect over the y = x: When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places.

When we reflect (2, 8) over the line y=x, we get the coordinate as (8, 2). Because the x-coordinate and y-coordinate changed places.

Therefore, the image of (2,8) after a reflection over the line y = x is (8, 2).

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Answer: 20 log (2)

Step-by-step explanation:

Answer: Logarithms are mathematical functions that are used to represent the relationship between two quantities that are related by a power law. For example, if we have an exponential equation like 2^x = 8, we can use logarithms to solve for x: log2 8 = x.

In general, logarithms are written in the form logb a, where b is the base of the logarithm and a is the number we want to take the logarithm of. There are several different bases in that logarithms can be written in, including the common logarithm (base 10) and the natural logarithm (base e).

To evaluate a logarithm, we need to use the logarithmic properties and the change of base formula. One important property of logarithms is that logb (xy) = logb x + logb y. Another property is that logb (x/y) = logb x - logb y.

The change of base formula is used when we need to evaluate a logarithm in a different base than the one given. The formula is:

logb a = logc a / logc b

where c is any base other than b or a. By using this formula, we can convert a logarithm from one base to another in order to evaluate it using a calculator.

In the case of log4 25, we can use the common logarithm (base 10) or the natural logarithm (base e) to evaluate the logarithm. Using the change of base formula with the common logarithm, we have:

log4 25 = log(25) / log(4)

Using a calculator, we find that log(25) ≈ 1.39794 and log(4) ≈ 0.60206, so:

log4 25 ≈ 1.39794 / 0.60206

Simplifying this expression, we get:

log4 25 ≈ 2.32193

Rounding to the nearest thousandth, we get:

log4 25 ≈ 2.322

So, the value of log4 25 to the nearest thousandth is 2.322.

Step-by-step explanation:

Step-by-step explanation:

start with 12,multiply by 2 weeks get 24,now divide by 2 and we get back to 12

The mean is  2,071,798.33

The Median is 1,485,552

The range is 7,425,310

The standard deviation is given as 1961105.68

Mean = (Sum of all populations) / (Number of cities)

= (8,336,817 + 979,576 + 2,693,976 + 2,320,268 + 1,680,992 + 1,584,064 + 1,547,253 + 1,423,851 + 1,343,573 + 1,021,795 + 978,908 + 911,507) / 12

= 24,861,580 / 12

= 2,071,798.33

To find the median, we need to arrange the populations in increasing order and find the middle value. If we arrange these values, we get:

911,507, 978,908, 979,576, 1,021,795, 1,343,573, 1,423,851, 1,547,253, 1,584,064, 1,680,992, 2,320,268, 2,693,976, 8,336,817

Since there are 12 cities (an even number), the median would be the average of the 6th and 7th values:

Median = (1,423,851 + 1,547,253) / 2

= 1,485,552

The mode isn't applicable here as no city population repeats.

The range is the highest population minus the lowest population:

Range = 8,336,817 - 911,507

= 7,425,310

Standard deviation  =  (911507- 2068548.3333333)² +  (978908 - 2068548.3333333)² + (979576  - 2068548.3333333)²  + ( 1021795 -  2068548.3333333)² +  (1343573- 2068548.3333333)²  +( 1423851- 2068548.3333333)² + (1547253- 2068548.3333333)² +( 1584064- 2068548.3333333)² + (1680992- 2068548.3333333)² + ( 2320268- 2068548.3333333)²  +(2693976- 2068548.3333333)² +( 8336817 - 2068548.3333333)² / 12

= 46151226311869 / 12

=  3845935525989.1

\(standard deviation = \sqrt{ 3845935525989.1}\)

=  1961105.6896529

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Answer:

126

Step-by-step explanation:

The mass of solid sodium acetate required to mix with 50.0 mL of 0.1 M acetic acid to prepare a pH 4 buffer is 20.1 g

To prepare a pH 4 buffer, we need to use the Henderson-Hasselbalch equation

pH = pKa + log([A-]/[HA])

where pH is the desired pH, pKa is the dissociation constant of acetic acid (1.76), [A-] is the concentration of the acetate ion, and [HA] is the concentration of acetic acid

We can rearrange the Henderson-Hasselbalch equation to solve for the ratio of [A-]/[HA]

[A-]/[HA] = 10^(pH - pKa)

Substituting the given values, we have

[A-]/[HA] = 10^(4 - 1.76) = 48.937

We want to make a buffer by mixing solid sodium acetate with 50.0 mL of 0.1 M acetic acid. Let's assume that all of the acetic acid is converted to acetate ion and that the volume of the solution remains constant.

The number of moles of acetic acid in 50.0 mL of 0.1 M solution is

moles of acetic acid = 0.1 mol/L x 0.050 L = 0.005 mol

Since [A-]/[HA] = 48.937, the number of moles of acetate ion required to make the buffer is

moles of acetate ion = 48.937 x 0.005 mol = 0.245 mol

The molar mass of sodium acetate is 82.03 g/mol. To calculate the mass of solid sodium acetate required, we can use the following equation

mass of sodium acetate = moles of acetate ion x molar mass of sodium acetate

mass of sodium acetate = 0.245 mol x 82.03 g/mol = 20.1 g

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The value of \(x_5\), rounded to the nearest decimal place using Newton's method of approximation is 1.466.

The correct answer is option B.

To find the value of \(x_5\)using Newton's method of approximation, we need to iterate the following formula:

\(x_(_n_+_1_) = x_n - f(x_n) / f'(x_n)\)

where f'(x) represents the derivative of the function f(x). Let's calculate the values step by step.

Given function: f(x) = \(x^3 - x^2 - 1\)

Step 1: Find the derivative of f(x)

f'(x) = \(3x^2 - 2x\)

Step 2: Initialize the starting value

\(x_0\)= 1

Step 3: Calculate \(x_1\)

\(f(x_0) = f(1) = (1^3) - (1^2) - 1 = 1 - 1 - 1 = -1\)

\(f'(x_0) = f'(1) = (3(1^2)) - (2(1)) = 3 - 2 = 1\)

\(x_1 = x_0 - f(x_0) / f'(x_0)\)

   = 1 - (-1) / 1

   = 2

Step 4: Calculate \(x_2\)

\(f(x_1) = f(2) = (2^3) - (2^2) - 1 = 8 - 4 - 1 = 3\)

\(f'(x_1) = f'(2) = (3(2^2)) - (2(2)) = 12 - 4 = 8\)

\(x_2 = x_1 - f(x_1) / f'(x_1)\)

   = 2 - 3 / 8

   = 1.625

Step 5: Repeat the process until we reach \(x_5\)

Performing the calculations for \(x_3, x_4, andx_5\), we find:

\(x_3\) ≈ 1.465

\(x_4\) ≈ 1.466

\(x_5\)≈ 1.466

After applying Newton's method of approximation to the function f(x) = \(x^3 - x^2 - 1,\)starting with,\(x_0 = 1,\) we iteratively calculated the values of \(x_1, x_2, x_3, x_4, and x_5\). The final approximation, \(x_5\), is approximately 1.466 when rounded to the nearest decimal place. This aligns with option B as the correct answer.

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Answer:

192ft squared. But remember it says don't put the square feet so just type in: 192.

Step-by-step explanation:

The top triangle is 42 ft squared.

The rectangle below it is 150 feet squared.

You add them together and get 192 ft squared hope this helps!

To prove that line segment a is parallel to line segment d, based on the given information, we can utilize the properties of perpendicular and parallel lines.

Given that a is perpendicular to b and b is perpendicular to c, we know that angles formed between a and b, as well as between b and c, are right angles. Let's denote these angles as ∠1 and ∠2, respectively.

Now, since c is parallel to d, we can conclude that the corresponding angles ∠2 and ∠3, formed between c and d, are congruent.Considering the fact that ∠2 is a right angle, it can be inferred that ∠3 is also a right angle.

By transitivity, if ∠1 is a right angle and ∠3 is a right angle, then ∠1 and ∠3 are congruent.Since corresponding angles are congruent, and ∠1 and ∠3 are congruent, we can deduce that line segment a is parallel to line segment d.

Thus, we have successfully proven that a is parallel to d based on the given information and the properties of perpendicular and parallel lines.

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If one basket is selected at random, the probability that both are mangoes is; 1/10

Contents of first basket;

3 mangoes

4 oranges

3 apples

Contents of second basket;

5 mangoes.

5 oranges.

5 apples.

Probability of mango in first basket is = 3/10

Probability of mango in second basket is = 5/15

Thus;

Probability that both are mangoes = (3/10) * (5/15)

Probability that both are mangoes = 1/10

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Answer:

50.75

Step-by-step explanation:

We have:

\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)

\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)

Answer:

I would say about 7 feet and 1 inch

Step-by-step explanation:

Answer:

11/15 > 4/7.

Step-by-step explanation:

11/15 = 0.7333.....

4/7 = 0.5714....

Obviously from this, we can conclude that 11/15 is greater than 4/7.

So, the answer is 11/15 > 4/7.

Answer:

a)>

hope it's helpful ❤❤❤

THANK YOU.

Answer: 110

Step-by-step explanation:

Answer:

Step-by-step explanation: