kendra is drawing a rectangle. the length will be 4 inches, and the area will be at least 12 square inches. let x represent the width of the rectangle. which inequality describes the problem?

The value of x in the right angle triangle is 54 degrees.

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

Therefore, exterior angle theorem can be used to find the angle x.

The triangle is a right angle triangle.

A right angle triangle is a triangle that has one of its angles as 90 degrees.

Therefore, let's find the angle x using exterior angle theorem.

90 + x = 144

subtract 90 from both sides of the equation

90 + x = 144

90 - 90 + x = 144 - 90

x = 54 degrees

Therefore, the angle x is 54 degrees.

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The probability of tossing a cube and getting a number greater than 1 or less than 2 is given by the equation P = 0

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability of getting a number greater than 1 or less than 2 be represented as P = P ( greater than 1 or less than 2 )

Now , the equation will be

The standard cube is tossed

The total number of outcomes A = { 1 , 2 , 3 , 4 , 5 , 6 }

Now , the number of outcomes where it is greater than 1 be B

B = { 2 , 3 , 4 , 5 , 6 }

The number of outcomes where it is less than 2 be C

C = { 1 }

So , the number of possible outcomes where probability P is greater than 1 or less than 2 is 0

Therefore , the value of P is 0

Hence , the probability is 0

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The area of the square ABCD will increase by a factor of 4

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object.

Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

Transformations can be divided into four categories: translation, rotation, reflection, and dilation.

In dilation of area of a square by a factor of 2 the effect is increment by a factor of 4

Say a square has side x, area = x²

after dilation, side = 2x, area = 4x²

comparing the two areas

= 4x²/x²

= 4

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The days requried for which Jason's workout would be the same in either pool is 5 days.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Here.

Consider the number of days of Jason's workout be x, the total yard he swims be y,

We have that, he swims at the rec center pool, will complete a 200-yard warm-up, and then swim laps in a lane that is 20 yards long.

y = 200 + 20x

Jason swims at the indoor pool at his gym, he will complete a 100-yard warmup, plus the main set that consists of 40 yards per lap.

y = 100 + 40x

Equating both the equation,

200 + 20x = 100 + 40x

40x - 20x = 200 - 100

20x = 100

x = 5  days

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Answer:

0.00024

Step-by-step explanation:

Implementing an expansion strategy, attracting capital, lowering tax obligations, facilitating entry into a business, and utilizing limited liability are all options are correct.

In most cases, a corporation is set up to benefit from restricted liability. This indicates that the shareholders, who are the corporation's owners, are not personally liable for the debts and liabilities of the business. The additional reasons you have provided for forming a corporation are also viable possibilities, but they are not its main objective. Establishing a corporation might be one approach to carry out an expansion strategy, which is a company's plan for growth and expansion.

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The general form of the equation of the given circle with center A is (x − h)² + (y − k)² = a².

A circle is a two-dimensional object made up of points that are spaced out from a given point (center) on the plane by a fixed or constant distance (radius).

Given:

The circle with center A

The general form of the equation of a circle is: x2 + y2 + 2gx + 2fy + c = 0.

The equation of the circle is given by  (x−h)² + (y−k)² = a²

Here, h and k are the x and y coordinates of the circle and a is the radius of the circle.

Thus, the standard equation of a circle is  (x−h)² + (y−k)² = a².

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Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

Lets solve for x.

[tex]7x-12=4(x-9)-9x[/tex]

Apply the distributive property in [tex]4(x-9)[/tex].

[tex]7x-12=4x-36-9x[/tex]

Subtract [tex]9x[/tex] from [tex]4x[/tex].

[tex]7x-12=-5x-36[/tex]

Subtract [tex]7x[/tex] from both sides of the equation.

[tex]-12=-5x-36-7x[/tex]

Subtract [tex]7x[/tex] from [tex]-5x[/tex].

[tex]-12=-12x-36[/tex]

Add 36 to both sides of the equation.

[tex]24=-12x[/tex]

[tex]-12x=24[/tex]

Divide both sides of the equation by -12.

[tex]x=-2[/tex]

Answer:

-2

Step-by-step explanation:

-2 is greater than -4 because on number line the numbers on the left of zero are negative numbers and the numbers which are very close to zero on left side are greater. So -2 is more close to zero than -4 . Hence answer will be

The system does appear to have a solution after the changes.

The equation of the orange line after the changes is y = -x - 3. The system appears to have a solution after the changes because the equations for both lines are in the same form. The blue line has a slope of -5 and the orange line has a slope of -1. This means that the lines have the same slope and the same y-intercept. This means that the two lines are parallel and will intersect at the point (-3,3).

To calculate the point of intersection, we can plug in -3 for x in both equations and solve for y.

For the blue line: y = -(-3)^5 = 3

For the orange line: y = -(-3) - 3 = 3

This means that the point of intersection for these two lines is (-3,3). Therefore, the system does appear to have a solution after the changes.

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Answer:

7.57082 or its just 7.5

Answer:

D

Step-by-step explanation:

16m-(5+8m)

this expression change like

16m-5-8m

Answer:

Step-by-step explanation:

Answer: Obtuse

Step-by-step explanation:

A right angle is an angle that is aqual to 90°. A 90° angle looks something like this: ∟. An obtuse angle is an angle tha mesures larger than that, like this: ⦦. An Acute angle is an angle that has a smaller angle mesaure than 90°. An acute angle looks smething like this: ⦟. Hope this helps, good luck.

Answer: FB= .25m + .25n

Step-by-step explanation:

So I drew a diagram of what I think it looks like, and this is my best answer. Sorry if it is incorrect.

If a class must have a number of students ≤28 and at the same time greater than 16 then:

16≤S≤28

So the number of students may be: 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28.

The function an = -4 + 5(n - 1) in slope intercept form is an = 5n - 9

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

an = -4 + 5(n - 1)

The slope-intercept form of a linear equation is represented as

an = mn + c

Where the variable m is the slope and the variable c is the y-intercept

So, the first step in solving the question is to open the bracket in an = -4 + 5(n - 1)

This gives

an = -4 + 5n - 5

Add -5 and -9

an = 5n - 9

Hence, the representation of the equation is an = 5n - 9

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Answer:

First is (14-3), but then it's addition.

Answer:

The first process in solving out such an equation is first by evaluating or removing the brackets

And then you add or subtract the equation

And I think lastly is bringing your whole answer down for analysis

We generally use scatter plots to observe the relationship between variables. Dots are used in a scatter plot to represent values for two different numeric variables.

Values for an individual data point are indicated by the position of each dot on the horizontal and vertical axis.  A scatter plot represents data points on a two-dimensional plane or on a Cartesian system.

On the X-axis, the independent variable is marked and the dependent variable is marked on the Y-axis. We call these plots as scatter plots or scatter diagrams. Scatter plots can be defined as one of the most useful inventions in statistical graphs. In 1833, it was presented by an English Scientist, John Frederick W. Herschel.

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Answer:

a₅₀ = 346

Step-by-step explanation:

the nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 3 and d = a₂ - a₁ = 10 - 3 = 7 , then

a₅₀ = 3 + (49 × 7) = 3 + 343 = 346

Answer:

The 50th term of the sequence is 346.

Step-by-step explanation:

To find the 50th term of an arithmetic sequence, we need to know the common difference, which is the difference between each term, and the first term.

In this sequence, the common difference is 10 - 3 = 7. The first term is 3. To find the 50th term, we can use the formula for the nth term of an arithmetic sequence: a_n = a_1 + (n - 1)d, where a_n is the nth term, a_1 is the first term, and d is the common difference. Plugging in the values we have, we get:

a_50 = 3 + (50 - 1)7

= 3 + 49 * 7

= 3 + 343

= 346

a percent using the form % to represent the following word problem is x=12

What do u mean by percent?

percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity. percentage. Related Topics: mathematics percentile.

60 % of 20

60/100 = x/20

cross product

60 * 20 = 100x

divide by 100

1200/100 =x

12=x

60/100 = x/20    x= 12

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Using sine and cosine law, the value of x is 7.2 unit

Cosine law is a mathematical formula used to calculate the sides and angles of a triangle when the lengths of all three sides are known. It states that the square of a side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of those sides and the cosine of their included angle.

Using cosine law, we can find the length of A which will in turn assist us in finding the value of x

a² = 12² + 10² -2(12)(10) cos80

a² = 202.32

a = √202.32

a = 14.22

Using sine law;

a / sin A = x / sin X

Substituting the values into the formula

14.22 / sin 80 = x / sin 30

x = 14.22sin30 / sin80

x = 7.2

The value of x is 7.2

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192 unique keys will result from the distribution.

Distribution is the process of moving goods and services from a producer to a consumer. It involves the coordination of several activities, including transportation, storage, and delivery, in order to ensure the products reach the intended customer in a timely and cost-effective manner. Distribution also involves marketing, which helps identify customer needs and target markets. Finally, distribution requires proper management of the supply chain, so that products are delivered to the right customers when they need them.

Each of the 12 electrical locks will have a unique key, so the total number of unique keys that will result from the distribution will be 12 multiplied by the number of job site superintendents, which is 16. Therefore, the total number of unique keys will be 192.

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Nasim needs  to  invest $20203.5 for the value of the account to reach $27000.

It is the interest that a person can earn from a particular amount of deposit money. And the deposit is increased gradually over the time.

given, interest rate = r = 5.8%

final amount = A = $27000

time period elapsed, t = 5 years

number of times interest applied per time period, n= 365 times

as the interest compound daily so per year interest applied = 365 days = 365 times [ as 1 year = 365 days]

we need to determine the initial invested money, P.

From the compound interest formula, A = P (1 +r/n) ∧nt

                                                  $27000 = P (1+ 0.058/365) ∧365×5

                  initial amount P = $20203.5

Nasim needs to invest $20203.5.

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The x-intercepts [tex]$${graph}\{x \wedge 2+4 x-5[-20,20,-10,10]\}$[/tex].

Any point on a parabola, which has the shape of a U, is situated at an equal distance from the focus, a fixed point, and the directrix, a fixed line. All of the parabola-related ideas are discussed here because it is a crucial component of the conic section topic.

Given a parabola in standard form [tex]$; y=a x^2+b x+c$[/tex]

then the x coordinate of the vertex can be found using

[tex]$x_{\mathrm{vertex}}=-\frac{b}{2 a}$[/tex]

[tex]$f(x)=x^2+4 x-5$[/tex] is in standard form

with a = 1, b = 4, c = -5

[tex]$\Rightarrow x_{\text {vertex }}=-\frac{4}{2}=-2$[/tex]

substitute this value into f(x) for y coordinate

[tex]$y_{\text {vertex }}=(-2)^2+4(-2)-5=-9$[/tex]

vertex =(-2,-9) to obtain the intercepts

Let x = 0, in equation for y-intercept

let y=0, in equation for x-intercepts

[tex]$x=0 \rightarrow y=-5 \leftarrow$[/tex] y-intercept

y=0 [tex]$\rightarrow x^2+4 x-5=0$[/tex]

the factors of -5 which sum to +4 are +5 and -1

[tex]$\Rightarrow(x+5)(x-1)=0$[/tex] equate each factor to zero and solve for x [tex]$x+5=0 \Rightarrow x=-5$[/tex]

[tex]$x-1=0 \Rightarrow x=1$[/tex]

x = -1 and x = -5

x-intercepts [tex]$${graph}\{x \wedge 2+4 x-5[-20,20,-10,10]\}$[/tex].

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A function's x-intercept and y-intercept is x is 2.

With x = 0, solve for y to determine the y-intercept. It will be said that (0, y). With y = 0, solve for x to determine the x-intercept. It will be said that (x, 0).

In light of this, x=2 is our axis of symmetry.

When the line to be examined's slope is known, and the provided point also serves as the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b). B stands in for the y value of the y-intercept point in the formula.        

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The sum of first square number and the first cube number would be 2.

What is the cube of a number?

A cube of a number is the number multiplied by itself three times. For example, the cube of 2 is 2 x 2 x 2 = 8. It can also be represented mathematically by raising the number to the power of 3, such as x^3 where x is the number you want to find the cube of.

The first square number is 1^2 = 1 and the first cube number is 1^3 = 1. Therefore, the sum of the first square number and the first cube number is 1 + 1 = 2.

Hence, the sum of first square number and the first cube number would be 2.

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In theory, Option D. All of these stages occurs at prisoner classification.

Prisoner classification occurs during transfer, in preparation for release, and after problems occur. All of these stages are important for assessing an inmate's risk and providing appropriate security.

Prisoner classification involves assessing an inmate's risk level and providing an appropriate security level based on the results. This assessment is conducted during various stages, such as during transfer to another institution, in preparation for release, and after the inmate encounters problems. The classification process may involve evaluating an:

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Answer:

x = 7

Step-by-step explanation:

42 = 6x

x = 7

6(7) = 42

Answer:

6x = 42 ( being alternate angel)

x = 42/6

x = 7

Answer:

1. second option

2. Second option

3. Less than or equal too

4. w+2.3>18

I'm good at inequalities so all of these should be right

[tex]\sqrt[3]{125 x^2 y^7}\qquad \begin{cases} 125=5\cdot 5\cdot 5\\ \qquad ~~ 5^3\\ y^7=y^{6+1}\\ \qquad y^6 y^1\\ \qquad (y^2)^3 y \end{cases}\implies \sqrt[3]{5^3 x^2 (y^2)^3 y}\implies 5y^2\sqrt[3]{x^2 y}[/tex]

Answer:

a² + 5

Step-by-step explanation:

a² = The square of a number.

Then:

Five plus the square of a number is:

a² + 5