Complete the statements to find the measurements of ∠a and ∠b

Answer:

Diagram 1

Step-by-step explanation:

This diagram does not represent a function because the x value 6 is outputting 2 different y values, 4 and 6. This goes directly against the rules of a function.

The high temperature for today using a 3-day moving average is 92 degrees.

To calculate the high temperature for today using a 3-day moving average, we take the average of the temperatures from the past three days, including today.

Given the daily high temperatures in St. Louis for the last week:

92, 92, 93, 95, 95, 86, 95 (yesterday)

To find the 3-day moving average for today's high temperature, we consider the temperatures from yesterday, the day before yesterday, and three days ago.

(95 + 86 + 95) / 3 = 92

Therefore, the high temperature for today, calculated using a 3-day moving average, is approximately 92 degrees Fahrenheit, rounded to one decimal place.

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Answer:

-The increase in dollars is $1598

-The amount in her account at the end of last year was $8398.

Step-by-step explanation:

To find the increase, you have to multiply the initial amount for the percentage increase:

6800*23.5%=1598

Now, to find the amount in her account at the end of last year, you have to add the initial amount plus the increase in dollars:

6800+1598=8398

According to this, the amount in her account at the end of last year was $8398.

Answer:

-22

Step-by-step explanation:

set y equal to zero and solve like a regular singular variable equation

Answer:

Player C

Step-by-step explanation:

Player A:

He made 47 of his 55 shots.

In percentage, this translates to;

47/55 × 100% = 85.45%

Player B: conversion ratio = 0.84

In percentage, this translates to 84%

Player C:

She made 87% of her shots

Player C had the highest conversion percentage and is thus the winner

Answer:

f = -5

Step-by-step explanation:

If 2x – 1 is a factor of 16x4 + 24x3 + 2x + f, find f.

If 2x - 1 = 16x⁴ + 24x³ + 2x + f, find f.

2x - 1 = 0

2x = 1

x = 1/2

Hence

f(1/2) = 16(1/2)⁴ + 24(1/2)³ + 2(1/2) + f

= 16(1/16) + 24(1/8) + 1 + f

= 1 + 3 + 1 + f

= 5+ f

f = -5

Recall following property of radicals:

Since 28 can be factorized as:

Use the property previoulsy mentioned to rewrite the square root of 28:

Therefore, the simplest radical form of the square root of 28, is:

FALSE, it is not the mean but the median of a distribution which is defined as the data value where 50% of the data is above and 50% is below.

The median denotes the point at which 50% of data values are higher and 50% are lower. As a result, it is the data's midpoint. In a symmetrical distribution, the median is always the midpoint, resulting in a mirror image with the median in the center.

The median is the number in the middle of a sorted, ascending or descending list of numbers, and it might be more descriptive of the data set than the average.

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Answer:

A

Step-by-step explanation:

assuming you meant y = x² + 12x - 7 , then

given a quadratic in standard form

y = ax² + bx + c (a ≠ 0 )

the x- coordinate of the vertex is

x = - \(\frac{b}{2a}\)

y = x² + 12x - 7 ← is in standard form

with a = 1 , b = 12 , then x- coordinate of vertex is

x = - \(\frac{12}{2}\) = - 6

substitute x = - 6 into the equation for corresponding y- coordinate

y = (- 6)² + 12(- 6) - 7

  = 36 - 72 - 7

 = - 43

vertex = (- 6, - 43 )

The number of ways is 1 billion.

We are asked to determine the possible number of ways of the social security number that is 9 digits if the numbers can be repeated.

In this case, using fundamental counting, there are 10 possible numbers in each digit that is from zero to nine.

Thus, the number of ways is 10*10*10*10*10*10*10*10*10 equal to 1 billion ways.

Hence the number of ways is 1 billion.

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Answer:

neither

Step-by-step explanation:

it is actually geometric sequence

We have three points that represent the vertices of the triangle

- A( -1, 5 )

- B( 4, 5 )

- C( -1, 1 )

We need to calculate the distances between the points to calculate the perimeter

To calculate the distances we must use the next equation

Distance for AB:

Distance for BC:

Distance for AC:

Finally, the perimeter is

So, the answer is

The difference lies in the comparison made: critical values in the z-test using rejection region(s) and the P-value in the z-test using a P-value. The choice between the two approaches depends on the nature of the population and the specific hypothesis being tested.

The correct answer is (d): In the z-test using rejection region(s), the test statistic is compared with critical values. The z-test using a P-value compares the P-value with the level of significance alpha.

The z-test is a statistical test used to assess whether a sample mean or proportion significantly differs from a hypothesized population mean or proportion. The difference between the z-test for mu (population mean) using rejection region(s) and the z-test for p (population proportion) using a P-value lies in the approach used to make the inference.

In the z-test using rejection region(s), the test statistic (calculated from the sample) is compared with critical values based on the chosen level of significance alpha. The critical values are determined from the standard normal distribution or a z-table, and if the test statistic falls within the rejection region (beyond the critical values), the null hypothesis is rejected.

On the other hand, in the z-test for p using a P-value, the test statistic is compared with the P-value. The P-value represents the probability of observing a test statistic as extreme or more extreme than the one obtained, assuming the null hypothesis is true. If the P-value is smaller than the chosen level of significance alpha, the null hypothesis is rejected.

Therefore, the difference lies in the comparison made: critical values in the z-test using rejection region(s) and the P-value in the z-test using a P-value. The choice between the two approaches depends on the nature of the population and the specific hypothesis being tested.

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Answer:

4c-20= 4

+20  +20

4c= 24

/4 /4

c= 6

Answer:

c = 1 btw can i be brainiest...

Step-by-step explanation:

First, rewrite the left side of the equation and group and combine like terms:

c + (4 − 3c) − 2 = 0

c + 4 − 3c − 2 = 0

−3c + c + 4 − 2 = 0

−3c + 1c + 4 − 2 = 0

(−3 + 1) c + (4 - 2) = 0

−2c + 2 = 0

Next, subtract

2

from each side of the equation to isolate the

c

term while keeping the equation balanced:

−2c + 2 − 2 = 0

−2 − 2c + 0 = −2

−2c = −2

Now, divide each side of the equation by

−2

to solve for

c

while keeping the equation balanced:

−2c - 2 = −2 − 2

−2c − 2 = 1

c = 1

(a) shows that every pair of opposite sides in the hexagon a′b′c′d′e′f′ are parallel and equal in length. On the other hand, (b) demonstrates that the triangles a′c′e′ and b′d′f′ have equal areas.

(a) To show that every pair of opposite sides in hexagon a'b'c'd'e'f' are parallel and equal in length, we can use the fact that the centroids of triangles divide the medians into segments of equal length.

Let's consider a'b' and d'e'. The centroid of triangle fab, a', divides the median fb into two segments, a'f and a'b', such that a'f = 2/3 * fb. Similarly, the centroid of triangle def, e', divides the median de into two segments, e'd and e'f', such that e'd = 2/3 * de.

Since fb = de (opposite sides of hexagon abcdef), we have a'f = e'd. Now, we can consider the triangles a'f'd' and e'df'. By the properties of triangles, we know that if two sides of a triangle are equal, and the included angles are equal, then the triangles are congruent.

In this case, a'f' = e'd' (as shown above) and angle a'f'd' = angle e'df' (corresponding angles). Therefore, triangle a'f'd' is congruent to triangle e'df'.

By congruence, the corresponding sides a'd' and e'f' are equal in length.

By similar reasoning, we can show that b'c' and e'f', as well as c'd' and f'a', are parallel and equal in length.

(b) To show that triangles a'c'e' and b'd'f' have equal areas, we can use the fact that the area of a triangle is one-half the product of its base and height.

In triangle a'c'e', the base is c'e' and the height is the perpendicular distance from a' to c'e'. Similarly, in triangle b'd'f', the base is d'f' and the height is the perpendicular distance from b' to d'f'.

Since opposite sides in hexagon a'b'c'd'e'f' are parallel (as shown in part (a)), the perpendicular distance from a' to c'e' is equal to the perpendicular distance from b' to d'f'.

Therefore, the heights of triangles a'c'e' and b'd'f' are equal. Additionally, the bases c'e' and d'f' are equal (as shown in part (a)).

Using the area formula, area = 1/2 * base * height, we can see that the areas of triangles a'c'e' and b'd'f' are equal.

Hence, we have shown that triangles a'c'e' and b'd'f' have equal areas.

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The value of each trigonometric identity is:

3/2

5/6

14/3

We have,

We will use the trigonometric formula and substitute the given values.

So,

Cosec θ

This can be written as,

= 1/ sin θ

= 1/(2/3)

= 3/2

And,

Sin θ

This can be written as,

= 1/ cosec θ

= 1/(6/5)

= 5/6

And,

Sec θ

This can be written as,

= 1/cosθ

= 1/(3/14)

= 14/3

Thus,

The value of each trigonometric identity is:

3/2

5/6

14/3

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To find the work done in pumping the entire contents of the fuel tank into the tractor, we need to calculate the potential energy difference between the initial position of the gasoline in the truck's tank and its final position in the tractor's tank.

Given:

- Diameter of the cylindrical gasoline tank: 4 feet

- Length of the cylindrical gasoline tank: 5 feet

- Opening on the tractor tank is 5 feet above the top of the tank in the truck

First, let's calculate the volume of the cylindrical gasoline tank using the formula for the volume of a cylinder:

Volume = π * (radius^2) * height

The radius of the tank is half the diameter, so the radius is 4 feet / 2 = 2 feet.

Volume = π * (2^2) * 5 = 20π cubic feet

Since the entire contents of the fuel tank need to be pumped, the volume of gasoline to be pumped is 20π cubic feet.

To calculate the work done in pumping the gasoline, we need to find the vertical height through which the gasoline is lifted. This height is the sum of the height of the tank and the distance between the top of the tank and the opening on the tractor tank.

Height = 5 feet + 5 feet = 10 feet

The work done in pumping the gasoline can be calculated using the formula:

Work = Force × Distance

In this case, the force is the weight of the gasoline, and the distance is the height through which it is lifted. To calculate the weight of the gasoline, we need to know the density of gasoline. The density of gasoline can vary, but an average value is around 6.3 pounds per gallon.

Let's convert the volume of gasoline from cubic feet to gallons:

1 cubic foot = 7.48052 gallons (approximately)

Volume in gallons = 20π * 7.48052 ≈ 149.61π gallons

Weight of gasoline = Volume in gallons * Density of gasoline

Assuming the density of gasoline as 6.3 pounds per gallon:

Weight of gasoline = 149.61π * 6.3 ≈ 940.06π pounds

Finally, we can calculate the work done:

Work = Weight of gasoline * Height

Work = 940.06π * 10 ≈ 9400.6π foot-pounds

Therefore, the work done in pumping the entire contents of the fuel tank into the tractor is approximately 9400.6π foot-pounds.

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Here is a Venn diagram illustrating the relationship between the sets a, b, and c, where a is a subset of b and b is a subset of c:

     _______________

    |       c       |

    |               |

    |      _________

    |     |         |

    |     |    b    |

    |     |         |

    |     |______   |

    |            |  |

    |       a    |__|

    |_______________|

In this diagram, the set c is represented by the outer rectangle, the set b is the area inside the rectangle but outside the inner circle, and the set a is the area inside both the rectangle and the inner circle.

Since a is a subset of b, every element in a is also in b, and therefore the inner circle is entirely contained within the area representing b.

Similarly, since b is a subset of c, every element in b is also in c, and therefore the area representing b is entirely contained within the outer rectangle representing c.

This diagram shows that if a is a subset of b and b is a subset of c, then a is also a subset of c.

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1.32 (bar on 32) + 0.35 (bar on 35) is equal to 166/99 in the simplest form.

To express 1.32 (bar on 32) + 0.35 (bar on 35) in fractional form, we can use the following steps:

Step 1: Let x = 1.32 (bar on 32)

So, x = 1.323232... (since the bar notation indicates that the digits after the bar repeat infinitely).

This means that 100x = 132.323232...

Step 2: Subtract x from 100x to eliminate the repeating decimal:

100x - x = 132.323232... - 1.323232...

99x = 131

x = 131/99

Step 3: Let y = 0.35 (bar on 35)

So, y = 0.353535...(since the bar notation indicates that the digits after the bar repeat infinitely).

This means that 10y = 3.5

Step 4: Subtract y from 100y to eliminate the repeating decimal:

100y = 35.353535...

100y - y = 35.3535... - 0.3535..

99y = 35

y = 35/99

Step 5: Add x and y to get the sum in the fractional form:

1.32 + 0.35 = (131/99) + (35/99)

Step 6: Simplify the sum by finding a common denominator and adding the numerators:

1.32 + 0.35 = (131/99) + (35/99)

1.32 + 0.35 = 166/99

Therefore, 1.32 (bar on 32) + 0.35 (bar on 35) is equal to 166/99 in the simplest form.

The question was Incomplete, Find the full content below :

Express 1.32 (bar on 32) + 0.35 (bar on 35) as a fraction in the simplest form

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Answer : 5x + 32

Step-by-step explanation:

3(x + 4 ) +2 (x + 5)

3x + 12 + 2x + 10

5x + 32

Since the object is in free fall the acceleration of the object is approximately

Answer:

2.94

Step-by-step explanation:

I just found 1%

Which is 0.98

then times that by 3 which is 2.94

hope that helps!

The solution to the expression given as (1.8d − 3)(1.4) is 2.52d − 4.2

Expressions are mathematical statements that are represented by variables, coefficients and operators

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

(1.8d − 3)(1.4)

Remove the brackets in the above expression

So, we have the following representation

(1.8d − 3)(1.4) = 1.8d * 1.4 − 3 * 1.4

Evaluate the products

This gives

(1.8d − 3)(1.4) = 2.52d − 4.2

The above expression cannot be further simplified

Hence, the solution is 2.52d − 4.2

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Answer:

17.5 units

Step-by-step explanation:

im not good at explaining sorry

Answer:

Step-by-step explanation:

5c + 4f ≥ 200

c + f ≤ 60

c > 0

f > 0

The completed table with regards to terms of an expression are presented as follows;

     Condition      \({}\)              (6·x + 3) + (5·x - 4)            (-4·y - 16) - 8·y + 10 + 2·y

         Exactly 3 terms          N/A     \({}\)                              N/A

         Exactly 5 terms          N/A         \({}\)                          N/A

Includes a zero pair             No \({}\)                                   No

Uses distributive property   No                                    No

Includes a negative factor   No                                    

Has no like terms                False                                False

Condition       \(8 - \dfrac{1}{2} \cdot \left(4 \cdot x - \dfrac{1}{2} + 12\cdot x -\dfrac{1}{4} \right)\)  0.25·(8·m - 12) - 0.5·(-4·m + 2)

Exactly 3 terms       No                         \({}\)                    No

Exactly 5 terms       Yes                          \({}\)   \({}\)              No

Includes a zero pair No    \({}\)                         \({}\)              Yes

Uses the distributive property Yes            \({}\)             Yes

Includes a negative factor      Yes           \({}\)                Yes

Has no like terms                    No          \({}\)                  No

A mathematical expression is a collection of variables and numbers along with mathematical operators which are all properly arranged.

The details of the conditions in the question are as follows;

Terms of an expression

A term is a subunit of an algebraic expression which are joined together by operators such as addition or subtraction

Zero pair

A zero pair are two numbers that when added together have a zero result

Distributive property

The distributive property of multiplication states that the multiplication of a number or variable by an addend is equivalent to the sum of the multiplication of the number or variable and each member of the addend

Negative factor

A negative factor is a factor that has a negative sign prefix

Like terms

Like terms are terms consisting of identical variables with the same  powers of the variable

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Answer:

x=112

Step-by-step explanation:

\(\frac{x}{7} =16\)

x=16*7

x=112

Answer: x = 112

Step-by-step explanation: To solve this equation for x,

I would first change x ÷ 7 to x/7 to make it easier to visualize.

So we have \(\frac{x}{7} = 16\).

Since x is being divided by 7, we multiply both sides by 7.

On the left, hat gives us x and on the right, 16 x 7 is 112.

So we have x = 112.

Answer:

Step-by-step explanation:

The correct answer is: The median of 14 is the most accurate to use, since the data is skewed.

Explanation: Since the data is skewed to the right, meaning there are some larger donations that pull the mean up, the median is a more accurate measure of center. It represents the middle value of the data when it is ordered from smallest to largest, and is not affected by extreme values.

The correct answer is: The IQR is the best measure of variability, and it equals 3.

Explanation: The IQR (interquartile range) is the best measure of variability for this data because it shows the range of the middle 50% of the data. The range, which is the difference between the minimum and maximum values, is affected by outliers and extreme values. In this case, the IQR is equal to 20-17=3.

The correct answer is: There is an outlier at 22.

Explanation: To determine if there are outliers in the data, we can use the rule: an outlier is any value more than 1.5 times the IQR below the first quartile or above the third quartile. The first quartile is 9.5 and the third quartile is 18, so the IQR is 18-9.5=8.5. Therefore, any value less than 9.5-1.5(8.5)= -4.25 or greater than 18+1.5(8.5)=30.25 would be considered an outlier. The value of 22 is greater than 30.25, so it is an outlier.

The correct answer is: The IQR is the best measure of variability, and it equals 18.5.

Explanation: The IQR (interquartile range) is the best measure of variability for this data because it shows the range of the middle 50% of the data. The range, which is the difference between the minimum and maximum values, is affected by outliers and extreme values. In this case, the IQR is equal to the difference between the third quartile (25) and the first quartile (6.5), which is 18.5.

The correct answer is: Player A is the most consistent, with an IQR of 1.5.

Explanation: The IQR (interquartile range) is the best measure of variability for this data because it shows the range of the middle 50% of the data. To find the IQR, we first need to find the first and third quartiles. For Player A, the first quartile is 2 and the third quartile is 3, so the IQR is 3-2=1. For Player B, the first quartile is 2 and the third quartile is 5, so the IQR is 5-2=3.

The correct answer is: The median is the best measure of center, and it equals 7.3.

Explanation: Since the data is not strongly skewed, either the mean or the median could be used as a measure of center. However, the median is often preferred because it is less affected by extreme values. The median for this data is the value that is in the middle when the data is ordered from smallest to largest. In this case, we have 10 data points, so the median is the average of the 5th and 6th values, which are both equal to 7. Therefore, the median is 7, and not 7.3. The mean is also 7.3, but it is affected by the extreme values.

Answer:

See below, please.

Step-by-step explanation:

Question 1

The median of 14 is the most accurate to use, since the data is skewed.

Question 2

The IQR is the best measure of variability, and it equals 3.

Question 3

There is an outlier at 22.

Question 4

The IQR is the best measure of variability, and it equals 18.5.

Question 5

Player A is the most consistent, with an IQR of 1.5.

Question 7: The median is the best measure of center, and it equals 7.3.

Answer:

its decreasing. .........

The given function of the growth decay is decreasing.

We have given that,

Y=400(.99)^x

Exponential growth is a process that increases quantity over time. decreases over time, and is said to be undergoing exponential decay instead.

Therefore, The given function of the growth decay is decreasing.

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