What's the area of the green highlighted face shown below??

Answer:

its a or c

Step-by-step explanation:

Answer:

4ln x +ln 3-lnx

4ln x -ln x+ln3

3ln x+ln 3

ln(3x+3)is equivalent.

Answer:

d

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

The teacher's goal in introducing students to a card game where they must find the missing addend could be to develop and enhance their algebraic reasoning skills.

By presenting the problem as a puzzle or game, the teacher aims to engage the students in a fun and interactive way while fostering their ability to think critically and solve mathematical problems. The game helps students practice identifying the missing addend and applying algebraic thinking to find the solution. Additionally, it promotes the development of problem-solving strategies, logical reasoning, and the ability to generalize mathematical patterns, which are foundational skills in algebraic reasoning.

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Dimensions of the parallelogram are:

Its perimeter is:

Its area is:

Perimeter is 2 times greater:

Area is 2*2 = 4 times greater:

Perimeter is 3 times greater:

Area is 3*3 = 9 times greater:

Perimeter is 2 times smaller:

Area is 2*2 = 4 times smaller:

Answer:

3.99

Step-by-step explanation:

The total sum of central angle of circle is 360 which mean the area of the circle = (12.36 x 360)/89

A=πr^2

=> (12.36 x 360)/89 = 3.14(r^2)

r^2 = 15.92

r = 3.99

Answer:

132 children and 88 adults

Step-by-step explanation:

let x represent the amount of kids and y represent the amount of adults.

since the problem says there was a total of 220 people at the fair an equation can be made

x+y=220

the problem tells that each childrens ticket was 1.5$ and each adult ticket was $4 and that a total of $550 was made that day, we can use the knowledge to make an equation:

1.5x + 4y = 550

using the equations we can make this systems of equations:

1.5x + 4y =550

x + y =220

solve the systems of equations by subracting y on both sides of th bottom equation:

x=220-y

since x is equivant to 220-y it can be substitued for x in the first equation to make this:

1.5(220-y)+4y =550

--solve for y--

y=88  - there were 88 adults

substute 88 for y in the second equation

x+88=220

--solve for x--

x=138 - there were 132 children

Answer:

have watch a video yet if you have not it will help you on it

Step-by-step explanation:

Answer:

The range of the function is all real numbers greater than or equal to -1.

Step-by-step explanation:

Second order polynomials are continous and have an absolute maximum or minimum that restricts the set of the range associated with the function. A fair approach to estimate the range is rewritting the expression into parabola form, which is:

\(y - k = C \cdot (x-h)^{2}\)

Where:

\(C\) - Vertix parameter, dimensionless. If \(C > 0\), then vertix is an absolute minimum, but if \(C < 0\), vertix is an absolute maximum.

\(x\) - Independent variable, dimensionless.

\(y\) - Dependent variable, dimensionless.

\(h\) - Location of the vertix with respect to the independent variable, dimensionless.

\(k\) - Location of the vertix with respect to the dependent variable, dimensionless. This value restrics the set corresponding to the range of the polynomic function.

First, we have to expand polynomial into its standard form:

\(y = (x-4)\cdot (x-2)\)

\(y = x^{2}-6\cdot x +8\)

Now, we are going to complete the square and factorize the resultant expression until parabola form is obtained:

\(y = x^{2}-6\cdot x + 9 -9 + 8\)

\(y = (x-3)^{2} -1\)

\(y + 1 = 1 \cdot (x-3)^{2}\)

Since the vertix parameter is positive, then vertix is an absolute minimum. The location of the vertix with respect ot the depedent variable is \(k = -1\). Therefore, the range of the function is all real numbers greater than or equal to -1.

Answer:

Two expressions for the area are;

i) x/3 + 2·y + 6

ii) (1/3) × (x + 6·y + 18)

Step-by-step explanation:

The given dimension of the rectangle are;

The height of the rectangle, h = 1/3

The width of the smallest rectangle, w₁ = x

The width of the med sized rectangle, w₂ = 6·y

The width the large rectangle, w₃ = 18

The area, 'A', of the entire rectangular figure, the big rectangle, can be expressed as follows;

A = A₁ + A₂ + A₃

Where;

A₁ = The area of the smallest rectangle

A₂ = The area of the mid sized rectangle

A₃ = The area of the large rectangle

∴ A = (1/3) × x + (1/3) × 6·y + (1/3) × 18 = x/3 + 2·y + 6

The area of the big rectangle. 'A', can also be found as follows;

A = (1/3) × (x + 6·y + 18)

Therefore, two expressions for the area of the big rectangle are;

x/3 + 2·y + 6 and (1/3) × (x + 6·y + 18).

The second-period interest is approximately $13.61, and the second-period amount is approximately $927.11.

To find the second-period interest and amount, we first need to determine the quarterly interest rate, since the interest compounds quarterly.

Quarterly interest rate =\((1 + Annual interest rate)^(1/4) - 1\)

= \((1 + 0.06)^(1/4) - 1\)

≈ 0.014889

Second-period interest:

Calculate the new principal after the first period.

Principal_after_1st_period = Principal + First period interest

= $900 + $13.50

= $913.50

Calculate the second-period interest.

Second_period_interest = Principal_after_1st_period × Quarterly interest rate

= $913.50 × 0.014889

≈ $13.61

Second-period amount:

Second_period_amount = Principal_after_1st_period + Second_period_interest

= $913.50 + $13.61

≈ $927.11

The second-period interest is approximately $13.61, and the second-period amount is approximately $927.11.

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Answer:

5(c−4)=45

5c - 20 = 45

5c = 45+20

5c = 65

c = 13

The full price of the bracelets was $13.

Step-by-step explanation:

Given statement 'The sum of two vectors is the resultant.' is True.

We know that in mathematics, a vector is a quantity that has both magnitude and direction but no position.

Examples : velocity, force and acceleration.

Also, the resultant vector is the vector sum of two or more vectors. We find the resultant vectors by  adding two or more vectors together. Any two vectors can be added if and only if they are the same vector quantity.

For vector P = \(a\vec i+b\vec j\) and vector Q = \(m\vec i+n\vec j\)

The resultant vector R would be,

R = P + Q

R = \((a+m)\vec i+(b+n)\vec j\)

Therefore, given  statement 'The sum of two vectors is the resultant.' is True.

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The value of x as evident in the task content is; 14 and hence, the measure of angles m<DEC and m< CEF are; 142° and 38° respectively.

It follows from the task content that the justifications of the statements are to be indicated.

On this note, the justifications are as follows;

Hence, the measure of angle; m<DEC = 11x -12.

= 11(14) - 12

= 142°.

Ultimately, the measure of angle m<CEF is;

m<CEF = 180 -142

m<CEF = 38°.

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The description of the proportional relationship on the table is given as follows:

The number of calories burned is dependent on the number of hours working out. For a one-hour workout, there are 190 calories burned, and for a two-hour workout, there are 380 calories burned.

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

The variables for this problem are given as follows:

Hence the constant is given as follows:

k = 570/3 = 380/2 = 190/1 = 190 calories burned per hour.

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Answer:

What is the question

Step-by-step explanation:

Using the SAS(Side-Angle-Side) Theorem, ASA(Angle-Side-Angle) Theorem, SSS(Side-Side-Side) Theorem and AA(Angle-Angle) Theorem we can easily prove that two triangles are similar.

If two triangles have an equal number of comparable angles and sides, they are said to be similar.

Similar figures are items that have two or more figures with the same shape but varying sizes.

Using the SAS(Side-Angle-Side) Theorem, ASA(Angle-Side-Angle) Theorem, SSS(Side-Side-Side) Theorem and AA(Angle-Angle) Theorem we can easily prove that two triangles are similar.

A portion on one polygon must correspond perfectly to a part in another polygon that is in a similar place. Even though two triangles are oriented differently from one another, you can conclude that their angles match if you can spin them to align in the same direction and notice that their angles are similar.

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There are 120 people in a theatre. 72 are female and 48 are male. 12 females purchase an ice cream and 31 males purchase an ice cream.

Frequency trees display the real frequency of certain events. They can display the same data as a two-way table, but frequency trees are more readable since they illustrate the frequency hierarchy. Probability trees depict the likelihood of a series of occurrences.

Solution:

From the question, we can see the there are 120 people in the theatre.

Since, there are 72 females in the theatre we can find the total number of males by 120-72 = 48

Also, the male who purchased Ice Cream were 36 therefore, the males who did not purchased Ice Cream are 48-36 = 12

And, the females who purchased Ice Cream are 41. So, the female who did not purchased Ice Cream are 72 - 41 = 31

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complete question"

there are 120 people in a theatre 72 are female of these 41 purchase an ice cream 36 males purchase and ice cream use this information to compete the frequency tree

The slope is positive and equal to 3, there is a positive relationship between X and Y. The remaining statements regarding a horizontal relation, a negative slope, or a vertical relation between X and Y are incorrect.

Based on the given information, we can conclude the following:

1. The slope is positive, and it is equal to 3: The coefficient of X in the equation Y = 390 * 3X is 3, indicating a positive relationship between X and Y. For every unit increase in X, Y increases by 3 units.

2. When X = 0, Y = 390: When X is zero, the equation becomes Y = 390 * 3 * 0 = 0. Therefore, when X is zero, Y is also zero.

3. The relation between X and Y is horizontal: The statement "the relation between X and Y is horizontal" is incorrect. The given equation Y = 390 * 3X implies a linear relationship between X and Y with a positive slope, meaning that as X increases, Y also increases.

4. When Y = 0, X = 130: To find the value of X when Y is zero, we can rearrange the equation Y = 390 * 3X as 3X = 0. Dividing both sides by 3, we get X = 0. Therefore, when Y is zero, X is also zero, not 130 as stated.

5. The slope is -3: The statement "the slope is -3" is incorrect. In the given equation Y = 390 * 3X, the slope is positive and equal to 3, as mentioned earlier.

6. The relation between X and Y is vertical: The statement "the relation between X and Y is vertical" is incorrect. A vertical relationship between X and Y would imply that there is no change in Y with respect to changes in X, which contradicts the given equation that shows a positive slope of 3.

7. As X goes up, Y goes down (downward sloping or negative relationship between X and Y): This statement is incorrect. The equation Y = 390 * 3X indicates a positive relationship between X and Y, meaning that as X increases, Y also increases.

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Answer:

The meal must cost less than or equal to 19.92

Step-by-step explanation:

Let x be the cost of the mean

First find the tax

tax = x* 5.5%

     =.055x

Then find the tip

tip = x * 20%

tip = .20x

Add the total cost together

total cost = meal + tax + tip

               =x + .055x + .20x

              =1.255x

This must be less than or equal to 25

1.255x ≤ 25

Divide each side by 1.255

1.255x/1.255 ≤ 25/1.255

x ≤ 19.92

Step-by-step explanation:

Post a question please...

Answer:

Sure what is it?

Step-by-step explanation:

Answer:

253.48

Step-by-step explanation:

Hello this is answer

Answer:

An irrational number is a number that cannot be written as a ratio (or fraction). In decimal form, it never ends or repeats. The ancient Greeks discovered that not all numbers are rational; there are equations that cannot be solved using ratios of integers.

Answer:

No.

Step-by-step explanation:

Let's first and try to isolate x.

-2x < 5

(Divide by -2)

x > -5/2 ( < changes to > b/c it was divided by a negative)

x > -2.5

Since x is all values greater than -2.5, -6 is not within those bounds.

Thus, -6 is not a solution to the inequality.

Hope that helps!

Answer:

3.2 km * 1 / 1.609 mi / km * 5280 ft / mi = 10,501 ft

Check:    3280.84 ft / km * 3.2 km = 10,499 ft

The type of quadrilateral is formed by the points A(1, 2), B(3, 5), C(3, 8), and D(1, 5) is parallelogram.

Given points:

A(1, 2), B(3, 5), C(3, 8), and D(1, 5)

we know that distance formula,

Distance between AB = \(\sqrt{(x_{2} - x_{1})^{2} +( y_{2} - y_{1})^{2} }\)

= \(\sqrt{(3 - 1)^{2} +( 5 - 2)^{2} }\)

= \(\sqrt{2^{2}+3^{2} }\)

AB = \(\sqrt{13}\)

BC = \(\sqrt{(3 - 3)^{2} +( 8 - 5)^{2} }\)

= \(\sqrt{0^{2}+3^{2} }\)

= \(\sqrt{9}\)

= 3

BC = 3

CD = \(\sqrt{(1 - 3)^{2} +( 5 - 8)^{2} }\)

= \(\sqrt{(2^{2} +3^{2} }\)

CD = \(\sqrt{13}\)

AD = \(\sqrt{(1 - 1)^{2} +( 5 - 2)^{2} }\)

= \(\sqrt{0^{2}+3^{2} }\)

AD = 3

AC = \(\sqrt{(3 - 1)^{2} +( 8- 2)^{2} }\)

= \(\sqrt{2^{2} +6^{2} }\)

AC = \(\sqrt{40}\)

BD = \(\sqrt{(1 - 3)^{2} +( 5 - 5)^{2} }\)

= \(\sqrt{2^{2} +0^{2} }\)

BD = 2

Here AB = CD,BC = DA . But AC ≠ BD

Hence the pairs of opposite sides are equal but diagonal are not equal so it is a parallelogram.

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Answer:

(3x+7)(x−4)

Step-by-step explanation:

Answer:

               400 miles  

Step-by-step explanation:

x    -  miles driven

140 + 0.70x    -  a day cost of renting from A

60 + 0.90x    - a day cost of renting from B

140 + 0.7x = 60 + 0.9x

   - 60           - 60

80 + 0.7x = 0.9x

    -0.7x       -0.7x

    80  =  0.2x

    ×5         ×5

 400  =  x

1. In my opinion, the domain that is most difficult to monitor for malicious activity is the User Domain. The User Domain represents all the individuals who access an organization's network and resources.

This domain is the most vulnerable to security breaches because users are prone to making mistakes that can expose the network to attacks.
Users can fall for phishing scams, install malicious software, or use weak passwords that can be easily guessed by hackers. It is challenging to monitor user activity because it requires a balance between security and user privacy. Organizations must ensure that users are following security policies without infringing on their privacy rights.

Another reason the User Domain is challenging to monitor is the wide range of devices that users may use to access the network, such as smartphones, tablets, laptops, and personal computers. Securing all these devices can be a challenge, and ensuring that all devices are updated with the latest security patches can be difficult.

2. It appears that you have not given a second question. If you have any other question regarding this topic, kindly post the complete question, and I will be glad to assist you.

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Answer:

A and C

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4x2+48x+144=52

Step 2: Subtract 52 from both sides.

4x2+48x+144−52=52−52

4x2+48x+92=0

For this equation: a=4, b=48, c=92

4x2+48x+92=0

Step 3: Use quadratic formula with a=4, b=48, c=92.

x=−48±√832/8

x=−6+√13 or x=−6−√13