Can someone help!!!!

Answer:

The second graph.

Step-by-step explanation:

When a system of linear inequalities is graphed, the solutions are shown in the area where both graphs of the linear inequalities are shaded. In this case, we need to look for the area where red and blue both are shaded in common. Since the question is asking which system includes the point (3,-2), we can look for the one that has the point (3,-2) in the commonly shaded area. In graph 1, the point is not in the area, but in graph 2, it lies in the darker shaded area, which represents the solutions of the system.

Therefore, the answer is graph 2.

Answer:

B

Step-by-step explanation:

jus took the test on edge

Answer:

68°

Step-by-step explanation:

Since, angle subtended on the circumference of the circle is half angle subtended on the center of the circle.

\( \therefore m\angle DBR = \frac{1}{2} \times m\angle DAR\\\\

\therefore 34\degree = \frac{1}{2} \times m\angle DAR\\\\

\therefore 34\degree \times 2= m\angle DAR\\\\

\therefore 68\degree = m\angle DAR\\\\

\therefore m\angle DAR=68\degree\)

Answer:

21.17

Step-by-step explanation:

tan= opposite/ adjacent

tan(36)= x/29

0.73= x/29

x= 21.17

Answer:

13

Step-by-step explanation:

use the Pythagorean theorem; five squared plus twelve squared is equal to the missing side squared, 25+144=169, the sqrt of 169 is 13

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The conclusion of the proportion is if a and bare not coprime, when it share a factor greater than 1

Here we have given that if and are not coprime that is share a factor greater than.

And we need to find the examples that contradict the conclusions of proposition.
While we looking into the given question, we have identified that  if and  are not coprime.

In order to find the conclusion to this one, we must know the definition of co prime.

The term co prime is referred as those umbers that do not have any common factor other than 1.

As per the definition, we have clearly know that if the two number has the factor greater than one then it will not a co prime to each other.

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The expression (3 - 11/5) ÷ (3 / -9/5) simplifies to -12/25.

To simplify the expression (3 - 11/5) ÷ (3 / -9/5), we can follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division - from left to right, Addition and Subtraction - from left to right).

First, let's simplify the numerator:

3 - 11/5 = 15/5 - 11/5 = 4/5

Next, let's simplify the denominator:

3 / -9/5 = 3 * -5/9 = -15/9 = -5/3

Now we have:

(4/5) ÷ (-5/3)

To divide fractions, we can multiply by the reciprocal of the divisor. So, we have:

(4/5) * (-3/5)

Multiplying across the numerators and denominators, we get:

(4 * -3) / (5 * 5) = -12/25

The simplified expression is -12/25.

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Answer:

41.  (-∞, -1] ∪ [2, 3)

42.  (2, 5) ∪ (5, ∞)

Step-by-step explanation:

Given rational inequality:

\(\dfrac{x^2-x-2}{x-3} \leq 0\)

Factor the numerator:

\(\dfrac{(x-2)(x+1)}{x-3} \leq 0\)

Find the roots by solving f(x) = 0  (set the numerator to zero):

\(\implies (x-2)(x+1)=0\)

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

\(\implies x+1=0 \implies x=-1\)

Find the restrictions by solving f(x) = undefined  (set the denominator to zero):

\(\implies x-3=0 \implies x=3\)

Create a sign chart, using closed dots for the roots and open dots for the restrictions (see attachment 1).

Choose a test value for each region, including one to the left of all the critical values and one to the right of all the critical values.

For each test value, determine if the function is positive or negative:

\(f(-2)=\dfrac{(-2)^2-(-2)-2}{(-2)-3} =\dfrac{+}{-}=-\)

\(f(0)=\dfrac{(0)^2-(0)-2}{(0)-3} =\dfrac{-}{-}=+\)

\(f(2.5)=\dfrac{(2.5)^2-(2.5)-2}{(2.5)-3} =\dfrac{+}{-}=-\)

\(f(4)=\dfrac{(4)^2-(4)-2}{(4)-3} =\dfrac{+}{+}=+\)

Record the results on the sign chart for each region (see attachment 1).

As we need to find the values for which f(x) ≤ 0, shade the appropriate regions (zero or negative) on the sign chart (see attached).

Therefore, the solution set is:

As interval notation:

Given rational inequality:

\(\dfrac{\sqrt{x}}{(x-2)|x-5|} > 0\)

Find the roots by solving f(x) = 0  (set the numerator to zero):

\(\implies \sqrt{x}=0 \implies x=0\)

Find the restrictions by solving f(x) = undefined  (set the denominator to zero):

\(\implies (x-2)|x-5|=0\)

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

\(\implies |x-5|=0 \implies x=5\)

Create a sign chart, using closed dots for the roots and open dots for the restrictions (see attachment 1).

Choose a test value for each region, including one to the left of all the critical values and one to the right of all the critical values.

For each test value, determine if the function is positive or negative:

\(f(-1)=\dfrac{\sqrt{-1}}{(-1-2)|-1-5|}=\dfrac{\sf unde\:\!fined}{-}=\sf unde\:\!fined\)

\(f(1)=\dfrac{\sqrt{1}}{(1-2)|1-5|}=\dfrac{+}{-}=-\)

\(f(3)=\dfrac{\sqrt{3}}{(3-2)|3-5|}=\dfrac{+}{+}=+\)

\(f(6)=\dfrac{\sqrt{6}}{(6-2)|6-5|}=\dfrac{+}{+}=+\)

Record the results on the sign chart for each region (see attachment 2).

As we need to find the values for which f(x) > 0, shade the appropriate regions (positive) on the sign chart (see attached).

Therefore, the solution set is:

As interval notation:

The distance that the object is from the ground 5 seconds after being dropped is given as follows:

950 feet.

To calculate the numeric value of a function or of an expression, we substitute each instance of any variable or unknown on the function by the value at which we want to find the numeric value of the function or of the expression presented in the context of a problem.

The function in this problem, giving the distance of the object t seconds after being dropped, is given as follows:

P(t) = -16t² + 1350.

Hence the distance after 5 seconds is given as follows:

P(5) = -16 x 5² + 1350

P(5) = 950 feet.

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Answer:

11 + y > - 33

Step-by-step explanation:

To represent the expression :

Sum of 11 and y ; greater than - 33

Sum of 11 and y ; 11 + y

Greater Than - 33; > - 33

Hence ;

11 + y > - 33

Answer: 7

Step-by-step explanation: 7+7=14

Answer:

-22.5

Step-by-step explanation:

-5 divided by 6 is 0.8333 (repeated/round to 0.8) 0.8333 (repeated) times 27 is -22.5 (-22 1/2)

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The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = Initial activity * Decay factor

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = Initial activity - 20 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = Remaining activity * Decay factor

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30

Calculate the remaining volume at 9:30:

Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume

Let's perform the calculations step by step:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = 180 mCi * 0.841 = 151.38 mCi

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = 180 mCi - 20 mCi = 160 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30

Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml

Calculate the remaining volume at 9:30:

Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml

Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

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The inequality that represents p, the number of people the theater can seat is p ≤ 25

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

A movie theater can seat a maximum of 25 people

This means that

Maximum =  25 people

In other words, the movie theatre can allow 25 or less people to attend a movie

In inequality, 25 or less means less than or equal to 25

When represented as an inequality expression, we have

≤ 25

Using the variable p, we have

p ≤ 25

Hence, the inequality is p ≤ 25

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Answer:

There is only one image

Step-by-step explanation:

Answer:

0.75 Of a cup

Step-by-step explanation:

Answer:

0.75 cups

Step-by-step explanation:

1 fluid ounce is 0.125 cups (1/8th of a cup)

Hence,

6 fluid ounces = 0.125 x 6 = 0.75 cups

Answer:

\(9600+4000i\)

Given

To find

We know that,

Let the third angle be ,'x'

then,

Hence,the third angle would measure 30°

Answer:

See below for proof

Step-by-step explanation:

\(\displaystyle \frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{(1-\cos x)(1+\cos x)}\\\\\frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{1-\cos^2 x}\\\\\frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{\sin^2 x}\\\\\frac{\sin x}{1-\cos x}=\frac{1+\cos x}{\sin x}\\\\\frac{\sin x}{1-\cos x}=\frac{1}{\sin x}+\frac{\cos x}{\sin x}\\\\\frac{\sin x}{1-\cos x}=\csc x+\cot x\)

x = y² - 7 is the simplified inverse equation of the equation y = x² - 7.

Inverse function is a function which reverse one function to another.

If a function f takes the variable x to y, then the inverse of a function must takes y to x.

To get the inverse of the function, we have to interchange the variables.

Given equation is y = x² - 7

Now interchange the variable x to y and y to x,

we get  x = y² - 7

Hence, the required equation is x = y² - 7

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Given statement solution is :-

1) Gather your electricity bills from the period before the summer break.

2) Create a comprehensive list of all the electrical appliances used in your home.

Include major appliances like air conditioners, refrigerators, washing machines, and smaller devices like televisions, computers, and lights.

3) Research or locate the power consumption information for each appliance.

4) Identify areas where energy consumption can be reduced, such as:

Turning off lights when not in use.

Setting air conditioner temperatures at an optimal level.

Using energy-efficient appliances.

5) After the summer break, collect your electricity bill for the corresponding period.

6) Include details about your energy reduction plan, the changes implemented, and the resulting impact on energy consumption and cost.

Provide recommendations for further improvements or adjustments to achieve even greater sustainability.

To conduct a comparative study of consecutive electric bills and analyze the impact of a reduction plan, you can follow the steps below:

Examine your electricity bills of pre-summer break:

Gather your electricity bills from the period before the summer break.

Look for details such as total energy consumption (in kilowatt-hours or kWh), billing period, and the cost per unit of electricity.

List the various electrical appliances used in your home:

Create a comprehensive list of all the electrical appliances used in your home.

Include major appliances like air conditioners, refrigerators, washing machines, and smaller devices like televisions, computers, and lights.

Find out the power consumption and duration for each device in use:

Research or locate the power consumption information for each appliance.

This information is typically provided on the appliance itself or in the user manual.

Note down the power rating of each device in watts (W) or kilowatts (kW).

Estimate the average duration each device is used daily in hours (e.g., 2 hours for a television, 8 hours for a refrigerator).

Calculate the estimated electricity consumption and cost:

Multiply the power rating (in kW) of each device by its average daily usage (in hours) to find the daily energy consumption (in kWh).

Multiply the daily energy consumption by the number of days in the billing period to get the total energy consumption for that period.

Multiply the total energy consumption by the cost per unit of electricity to calculate the estimated cost for each appliance.

Sum up the estimated costs for all appliances to get the total estimated electricity bill.

Make an energy reduction plan and determine implementation:

Identify areas where energy consumption can be reduced, such as:

Turning off lights when not in use.

Setting air conditioner temperatures at an optimal level.

Using energy-efficient appliances.

Unplugging devices when not in use.

Determine the feasibility of implementing these energy reduction measures in your home.

Re-examine your electricity bill of post-summer break:

After the summer break, collect your electricity bill for the corresponding period.

Calculate the actual energy consumption and cost using the same method as in step 4.

Compare the actual post-summer break bill with the estimated pre-summer break bill.

Note any changes in energy consumption and cost, and analyze the effectiveness of your energy reduction plan.

Document your reduction plan and changes in the bill:

Write a report summarizing your findings and observations.

Include details about your energy reduction plan, the changes implemented, and the resulting impact on energy consumption and cost.

Provide recommendations for further improvements or adjustments to achieve even greater sustainability.

By following these steps, you can conduct a comparative study of consecutive electric bills, analyze the effectiveness of your energy reduction plan, and track changes in energy consumption and costs.

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Answer:

it is 9a+6y+10

Step-by-step explanation:

Answer:

9a+10+6y

Step-by-step explanation:

Answer:100,000

Step-by-step explanation:

Answer:-39

Step-by-step explanation:

The first thing is to open the bracket.

By doing that, the question becomes -37-2.

note that plus×minus=minus.

Hence,-39 as the final answer

Answer:

B

Step-by-step explanation:

1/3

The required value of a is 1/3 for parabola \(y = 1/3x^2\).

A parabolic dish with vertex (0,0) at the center, width is 6 inches and depth is 3 inches. y = ax² where a is to be determined.

A parabola is a cross-section cut out of the cone and represented by an equation \(y=4ax^2\).

Here,  
Vertex is at the center of the parabolic plate (0,0),
with the help of the width and depth coordinate of the one corner is(3,3).
Now put these coordinates in y = ax²  
3 = a3²
a = 3/3²
a = 1/3

Thus, The required value of a is 1/3 for the parabola \(y = 1/3x^2\).

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The scale factor of the dilation is 3.

What is scale factor?

Shapes in various dimensions can be scaled using the Scale Factor. In geometry, we study many geometrical forms that exist in both two- and three-dimensions. The scale factor is a way to compare figures with similar appearances but differing scales or measurements.

The scale factor is calculated when we mark a centre point and find the distance from centre point and preimage and then find the distance of centre point and image and later finding their ratio.

Distance of centre point to preimage= 3

Distance of centre point to image = 6+3=9

Scale factor= Ratio of distance of image to distance of preimage= 9/3= 3

Hence the correct answer is 3

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Using the area formula, the length of the sides of the two squares are 22 cm and 25 cm respectively.

A square is a regular quadrilateral in Euclidean geometry, which means that it has four equal sides and four equal angles.

It can alternatively be explained as a rectangle with two neighboring sides that are of equal length.

The square's four sides are equal to one another or congruent.

The square's opposing sides run parallel to one another.

The square's diagonals form a 90° angle with one another.

The square's two diagonals are equal to one another.

Area: s²

s² + (s+3)² = 1017

s² + s² + 9 = 1017

2s² = 1017 - 9

2s² = 1,008

s² = 1008/2

s² = 504

s = ²504

s = 22.44

Round off: 22 cm

Then, (s+3) = 22 + 3 = 25 cm

Therefore using the area formula, the length of the sides of the two squares are 22 cm and 25 cm respectively.

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The third term (a3) of the sequence is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183. These values are obtained by applying the given formula recursively and substituting the previous terms accordingly. The calculations follow a specific pattern and are derived using the provided formula.

The sequence is defined by the following formula:

a1 = 1, a2 = 3,

and

an = (-1)nan - 1 + an - 2 for n ≥ 3.

To find the third term (a3), we substitute n = 3 into the formula:

a3 = (-1)(3)(a3 - 1) + a3 - 2.

Next, we simplify the equation:

a3 = -3(a2) + a1.

Since we know a1 = 1 and a2 = 3, we substitute these values into the equation:

a3 = -3(3) + 1.

Simplifying further:

a3 = -9 + 1.

Therefore, the third term (a3) is equal to -8.

To find the fourth term (a4), we substitute n = 4 into the formula:

a4 = (-1)(4)(a4 - 1) + a4 - 2.

Simplifying the equation:

a4 = -4(a3) + a2.

Since we know a2 = 3 and a3 = -8, we substitute these values into the equation:

a4 = -4(-8) + 3.

Simplifying further:

a4 = 32 + 3.

Therefore, the fourth term (a4) is equal to 35.

To find the fifth term (a5), we substitute n = 5 into the formula:

a5 = (-1)(5)(a5 - 1) + a5 - 2.

Simplifying the equation:

a5 = -5(a4) + a3.

Since we know a4 = 35 and a3 = -8, we substitute these values into the equation:

a5 = -5(35) + (-8).

Simplifying further:

a5 = -175 - 8.

Therefore, the fifth term (a5) is equal to -183.

In summary, the third term (a3) is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183.

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