6(4x - 3) > 30
need help pls?

Answer:

The correct line of reflection that maps the polygon ABCDE to its image polygon A' B' C' D' E' is:

C. Reflection across the x-axis

Explanation:

The given vertices of the original polygon ABCDE are:

A(-3, 3)

B(-3, 6)

C(1, 6)

D(1, 3)

E(-1, 1)

The given vertices of the image polygon A' B' C' D' E' are:

A'(-5, 3)

B'(-5, 6)

C'(-9, 6)

D'(-9, 3)

E'(-7, 1)

Comparing the coordinates of the original polygon ABCDE and its image polygon A' B' C' D' E', we can see that the y-coordinates are negated, while the x-coordinates remain the same. This indicates that the reflection is happening along the x-axis, as it is the line that reverses the y-coordinates while keeping the x-coordinates unchanged.

Therefore, the correct line of reflection is the x-axis, as shown by option C. Reflection across the x-axis.


Double-check this answer i wrote.

The number of 29 year olds who are not expected to be alive in a year would be A. 422 people.

We see that in Apextown, the percentage of people who are expected to be alive in a year, based on their ages, is given.

For those who are 29 years of age, we see that the percentage of people who are expected to be alive in a year would be 99. 868 %. This means that the number of 29 year olds who would not be alive would be:

= Number of 29 years x ( 1 - percentage to be alive)

= 320, 000 x ( 1 - 99. 868 % )

= 320, 000 x 0. 00132

= 422. 4

= 422 people

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Answer:

-1/3

Step-by-step explanation:

Use the formula [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] to find the slope given the 2 points:

1-2

------

-4-(-7)

-1/3 is your slope

The acceleration acquired by the object of mass 12 Kg and is pushed with a force of 12 N, is given by 5/3 m/s².

We know that from the first law of Newton's Law that,

F = m*a

where 'F' is applied force; 'm' is mass of object and 'a' is acceleration.

Let the acceleration acquired by the object be 'A'.

Mass of the object is (m) = 12 Kg

The force applied (F) = 20 N

So from Newton's First Law of Motion we get,

F = m*a

20 = 12*A

A = 20/12

A = 5/3

Hence the acceleration will be 5/3 m/s².

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The question is in another language. The question is in English will be -

''What is the acceleration acquired by an object that has a mass of 12 Kg and is pushed with a force of 20N?''

In ΔDEF, the measure of angle D = 38.4°

Here in triangle DEF the measure of angle F = 90°

This means that ΔDEF is a right triangle and DE is the hypotenuse.

We need to find the measure of angle D.

Consider the tangent of angle D.

tan(D) = opposite side/ adjacent side

tan(D) = EF / FD

Here, EF = 2.3 feet, and FD = 2.9 feet.

So above equation becomes,

tan(D) = 2.3 / 2.9

tan(D) = 0.79310

D = arctan(0.7931)

D = 38.42°

Therefore, the measure of ∠D = 38.4°

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Therefore, the probability of getting a prime number on one die and a composite number on the other die when rolling two dice simultaneously is 1/6 or approximately 0.1667.

Probability theory is a branch of mathematics that deals with the study of random events and the analysis of their outcomes. It is widely used in statistics, science, engineering, finance, and many other fields to model and predict the behavior of complex systems.

Here,

There are a total of 6 x 6 = 36 possible outcomes when two dice are rolled simultaneously. We need to count the number of outcomes where one die shows a prime number and the other die shows a composite number.

Prime numbers in the sample space are 2, 3, and 5. Composite numbers are 4, 6, and any number greater than 1 that is not prime.

So, there are three possible outcomes where one die shows a prime number and the other die shows a 4 or 6:

(2, 4), (2, 6), (3, 4), (3, 6), (5, 4), (5, 6)

Therefore, there are a total of 6 possible outcomes where one die shows a prime number and the other die shows a composite number.

The probability of getting one prime number and one composite number on the two dice is:

P = number of favorable outcomes / total number of possible outcomes

P = 6 / 36

P = 1/6

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Answer:

1. Mean : 85.6

2. Median : 90

3. Mode : 95

4. Range : 35

Step-by-step explanation:

1. For Mean, you add up all the terms and divide the resulting sum by the number of terms. In this case there were 9 terms that added up to 770, and when you divided that result by 9, the answer was 85.555 repeating. Since the question asks to round to the nearest tenth 85.6 represents the correct mean or average of the class.

2. To find the median, line up all the numbers in order from least to greatest. Like so :

60,75,75,90,90,95,95,95,95

In order to find the median, find the middle term. Since there are 9 terms, the middle term will be the fifth one. In this case, the answer was 90.

3. Mode represents the number that appears the most in a data set. Look at the 9 terms and find the one that appears the most. In this case it is 90.

4. Lastly, to find the range, subtract the lowest value in the data set from the highest one. 95 is the highest and 60 is the lowest. Do [tex]95-60[/tex] and you will get an answer of 35.

Hope this helps!

Answer:

Mean: 85.6

Median: 90

Mode: 95

Range: 35

Step-by-step explanation:

Mean: Add up all the value and divide by the number of values you have.

75 + 95 + 90 + 95 + 60 + 95 + 75 + 95 + 90 = 770

770 / 9 = 85.6

Median: Rearrange in increasing order + look at middle number

60, 75, 75, 90, 90, 95, 95, 95, 95

Mode: Number that shows up the most.

95 shows up 4 times.

Range: Maximum - Minimum.

95 - 60 = 35.

The surface area of the given pyramid is 203 in²

From the question, we are to calculate the surface area of the given square pyramid

From the given information, the base of the pyramid is 7 in

and

The slant height of the pyramid is 11 in

The surface area of a pyramid can be calculated by using the formula

A = a² + 2al

Where A is the area of the pyramid

a is the side base

and l is the slant height

From the given information,

a = 7 in

and

l = 11 in

Thus,

Surface area = 7² + 2(7)(11)

Surface area = 49 + 154

Surface area = 203 in²

Hence,

The surface area is 203 in²

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The popcorn box can hold 35 cubic inches of popcorn when it is full.

To find the volume of the popcorn box modeled as a right rectangular prism with dimensions 2 inches by 2.5 inches by 7 inches, you need to multiply the three dimensions together:

Volume = Length × Width × Height

In this case, the dimensions are:

Length = 2 inches; Width = 2.5 inches ; Height = 7 inches

Now, multiply the dimensions:

Volume = 2 × 2.5 × 7

Volume = 5 × 7

Volume = 35 cubic inches

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Answer:

y=2x+3

Step-by-step explanation:

find x

look for points (2,7), (3,9), (0,3)

(x2-x1), (y2-y1)

x - distance from 7 and 9:  (9-7=2)

y - distance from 2 and 3: (3-2=1)  

Rise(y) over run (x) = 2/1=2

so X=2

y=2x

Because we see the line passes the point (0,3) we know the b in y=mx+b = 3

To prove:

try a point

(2,7)

y=mx+b (plug-in)

7=2(x)+3 (isolate x, subtract 3 to 7)

4= 2x (isolate x, divide by 2)

x=2

2=2 ( compare x to original coordinate: (2,7))

The bacterial count after 48 hours decreases. A correlation coefficient of 0 would indicate no relationship between the two variables.

To find the correlation between the bacterial count after 24 hours and 48 hours, we would need the actual numerical values of the bacterial counts for each strain. Without that information, we cannot calculate the correlation coefficient. However, it is important to note that a positive correlation would indicate that as the bacterial count after 24 hours increases, the bacterial count after 48 hours also increases. A negative correlation would indicate that as the bacterial count after 24 hours increases, the bacterial count after 48 hours decreases. A correlation coefficient of 0 would indicate no relationship between the two variables.

The complete question is-

Five strains of the Staphylococcus aureus bacteria were grown for 24 hours either at 35 degrees Celsius or at 43 degrees Celsius. Here are the resulting bacterial counts for each condition:

24 hr: 66, 71, 93, 102, 62

48hr: 110,123,146,136,113

If we had plotted bacterial count at 35 degrees Celsius on the y-axis instead of the x-axis, the value of the correlation coefficient would be

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The cost of the car with 60,000 miles would be = $13,000 approximately.

To calculate the cost of the car form the given graph above is to draw a straight line that connects most of the points of interception.

From the graph, the most appropriate point of interception would be on $13,000 since each line in y-axis represents a thousand dollars.

Therefore, the cost of the car with 60,000 miles would be = $13,000 approximately.

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A good way to solve for lines and segments will be to know the equations and properties of the shapes that we are provided with.

To get the answers for the lines and segment, you can begin by applying the following steps:

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Answer:

the correct answer is option D

Based on the sample of a one-hectare forest community in early August, an estimate can be made for the total number and diversity of shrub species present in the community.

From the sample of the one-hectare forest community, several estimates can be made for the shrubs in the forest community:

Abundance: The abundance of shrubs in the one-hectare forest community can be estimated by multiplying the number of shrubs in the sample by 10 (the number of species represented by the sample). Therefore, an estimate of the total number of shrubs in the one-hectare forest community would be 17 x 10 = 170 shrubs.

Species richness: The sample contained 10 species of shrubs. This can be used as an estimate of the total number of shrub species in the one-hectare forest community.

Diversity: The diversity of the shrub community in the one-hectare forest can be estimated using the data on species richness and abundance. The most commonly used metric for estimating diversity is the Shannon-Wiener diversity index, which takes into account both the number of species and their relative abundance.

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Answer:

To reflect a point over a vertical line x = c, where c is a constant, we can use the formula (2c - x, y).

Given the line of reflection x = -2, and the original points N(-5, 2), M(-2, 1), O(-3, 3), we can apply the formula as follows:

For N(-5, 2):

N' = (2(-2) - (-5), 2) = (1, 2)

For M(-2, 1):

M' = (2(-2) - (-2), 1) = (2, 1)

For O(-3, 3):

O' = (2(-2) - (-3), 3) = (1, 3)

So, the correct image vertices of N'M'O' after reflecting over x = -2 are N'(1, 2), M'(2, 1), O'(1, 3), which corresponds to the option:

N′(1, 2), M′(2, 1), O′(1, 3)

Please double-check to make sure if its right ;D

Answer:

2/5

Step-by-step explanation:

slope= y2-y1 / x2-x1

in this case:

y2=7                            y1=5                      x2= 8                      x1=3

plug that into the formula above to get the answer

slope= 2/5 or 0.4

Answer:

We can break down the total area of grass that Nibbles can nibble into two parts: the original rectangular pen, and the additional grass that Nibbles can reach as the pen is moved.

The area of the original rectangular pen is:

A1 = length x width = 3m x 2m = 6 square meters

To calculate the area of the additional grass, we can visualize the movements of the pen. The pen moves 1 meter to the east, 2 meters to the south, 1 meter to the west, and 2 meters to the north. This creates an irregular pentagon shape, as shown in the diagram below:

```

+-------+

| |

| |

E |

+----+---+ |

| S|

| |

| |

| |

| |

| |

+-----------+

W

```

To calculate the area of this irregular pentagon, we can divide it into two triangles and one rectangle:

- The east and west sides of the pen form a rectangle with dimensions 1m x 2m, for an area of 2 square meters.

- The south side of the pen creates a right triangle with legs of 2m and 1m, for an area of (1/2) x base x height = 1 square meter.

- The north side of the pen creates a right triangle with legs of 2m and 1m, for an area of (1/2) x base x height = 1 square meter.

Therefore, the total area of grass that Nibbles can nibble is:

A = A1 + 2 + 1 + 1 = 10 square meters.

So the answer is 10 square meters.

The given function of the growth decay is decreasing.

What in mathematics is an exponential?

The formula for an exponential function, often known as an exponential function, is f (x) = axe, where "x" is a variable and "a" is a constant that serves as the function's basis and must be greater than 0.The transcendental number, abbreviated e, which is roughly equivalent to 2.71828, is the most often used exponential function basis.

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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1. $0.5 is 1/2 of a dollar

2. The fraction of her times at a bat that she get a hit is 1/4

Decimals are the numbers, which consist of two parts namely, a whole number part and a fractional part separated by a decimal point.

For example, 0.4 is 0 + 4/10 = 4/10,/. This means the conversion of 0.4 to fraction is 4/10.

1. The fraction of $0.5 to $1 is calculated as;

representing the fraction by x

x of 1 = 0.5

0.5 = 5/10

therefore

x= 5/10 = 1/2

Therefore the fraction of $1 that gives $0.5 is 1/2

2. converting 0.250 to fraction

= 0 + 250/1000

= 250/1000

= 25/100 = 5/20 = 1/4

therefore the fraction of Sue's hit is 1/4.

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Answer:

Θ ≈ 21.62°

Step-by-step explanation:

using the sine ratio in the right triangle

sinΘ = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{7}{19}[/tex] , then

Θ = [tex]sin^{-1}[/tex] ( [tex]\frac{7}{19}[/tex] ) ≈ 21.62° ( to the nearest hundredth )

Answer: see below

Step-by-step explanation:

To complete the table, we need to evaluate the function f(u) = u² + 2u + 3 for the given values of u.

f(u) U

-20 (-20)² + 2(-20) + 3 = 403

-10 (-10)² + 2(-10) + 3 = 117

0 0² + 2(0) + 3 = 3

10 10² + 2(10) + 3 = 123

The table can be filled as follows:

f(u) U

403 -20

117 -10

3 0

123 10

The function f(u) = u² + 2u + 3 is a quadratic function, which has a parabolic shape. The coefficient of u² is positive, which means the parabola opens upward. The vertex of the parabola is at the point (-1, 2), which is the minimum point of the function.

As u increases or decreases from 0, the function increases. This is reflected in the table, where we see that the values of f(u) increase as u moves away from 0.

The table gives us a set of ordered pairs that represent the function f(u) for the given values of u. These ordered pairs can be plotted on a coordinate plane to draw the graph of the function.

There are 6 ways to get two heads and two tails (in any order) when flipping a coin 4 times.

When flipping a coin 4 times, there are 2 possible outcomes (heads or tails) for each flip.

Therefore, there are a total of 2^4 = 16 possible outcomes for 4 coin flips.

To find the number of favorable outcomes for getting two heads and two tails (in any order), we can use combinations.

We need to choose 2 coin flips out of 4 to be heads, which can be done in C(4,2) = 6 ways.

Once we have chosen the positions for the heads, the remaining positions must be tails.

So there are 6 ways to get two heads and two tails (in any order) when flipping a coin 4 times.

These outcomes are:

HH-TT

HT-HT

TH-HT

TT-HH

HT-TH

TH-HT

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The best measure of variability for the data is A. The range is the best measure of variability, and it equals 8.

The range is the difference between the highest value and the lowest value in the dataset. In this case, the highest number of rose bouquets is 9, and the lowest is 1. This is the data shown on the line plot.

Range = Highest Value - Lowest Value

Range = 9 - 1

Range = 8

The range is the best measure of variability, and it equals 9. The IQR is used when there are outliers that can affect the data.

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The smallest integer value of x that would be a solution in the inequality would be x = 2.

To find the smallest integer value of x that satisfies the inequality 5x + 3 ≥ 10, first solve the inequality for x:

Subtract 3 from both sides:

5x ≥ 7

Divide by 5:

x ≥ 7/5

The inequality states that x must be greater than or equal to 7/5, which is equal to 1.4. Since we are looking for the smallest integer value, we should round up to the next integer, which is 2. Therefore, the smallest integer value of x that satisfies the inequality is x = 2.

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Step-by-step explanation:

'3'  is greater than 0     so we use the second portion of f(x)

f(3) =   x+1

     =   3 + 1   = 4  

The area swept clean by the wiper blade is approximately 239.3 square inches.

We need to find the area of the circular sector that is swept out by the blade as it rotates through an angle of 130 degrees. The radius of the circular sector is the length of the wiper arm, which is 16 inches.

The formula for the area of a circular sector is

A = (θ/360) × πr^2

Where

In this case, θ = 130 degrees and r = 16 inches, so we can plug these values into the formula to get:

A = (130/360) × 3.14 × (16)^2

Simplifying this expression, we get:

A ≈ 239.3 square inches

Therefore, the area swept clean by the wiper blade is approximately 239.3 square inches.

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