In an endothermic reaction, energy is

The solution to the inequality - 5.3 + x > 21 is x > 26.3

In mathematics, inequality refers to a relation which makes a non-equal comparison between two numbers or other mathematical expressions. In other words, it is a relationship between two expressions or values that are not equal to each other. It is used generally used to compare two numbers on the number line by their size.

In order to solve the given inequality - 5.3 + x > 21, add 5.3 both sides.

- 5.3 + x + 5.3 > 21 + 5.3

x > 26.3

The solution means that the value of x is greater than 26.3. The solution is graphed on a number line.

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Answer:

30

Step-by-step explanation:

2 multiplied by 24 = 48

48 - 18 = 30

Answer: The correct answer is C

Step-by-step explanation: Let's find each equation without any inequalities first. We have a dotted line at y = 1, so we can already remove A and B. Now, a dotted line represents exclusivity and hence; it should not include the = sign.

As per the combination method, the number of ways for 10 women and 6 men to stand in the line is 1,207,084,032,000

Combination method:

In statistics, combination method refers the method of selection of r items from a set of n items where the order of selection does not matter

Given,

Here we need to find how many different ways are there for 10 women and 6 men to stand in a line so that no two men stand next to each other.

Here we know that, first consider the positions of the women, then the positions of the men

Then the possible ways are there to arrange ten women in a row is

=> 10!=3628800.

For the given condition is no two men stand next to each other.

Therefore, we need to find how many ways we can arrange 6 men in the 11 possible places

=> 11P6 = 11×10×9×8×7×6 = 332640.

Therefore, the resulting number is

=> 3628800 × 332640 = 1,207,084,032,000

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Answer: The perimeter is 34 cm

Step-by-step explanation:

14cm + 14cm = 28cm

3cm + 3cm = 6cm

28cm + 6cm = 34 cm

Answer:

34

Step-by-step explanation:

Perimeter is equal to :

Length + length + width + width

So theres two ways we can do this:

2(14) + 2(3)

OR

14 + 14 + 3 + 3

either way, solving will give us an answer of 34

The solution to the equation |2 +1| = 10x is x = 3/10

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

|2 +1| = 10x

Evaluate the sum in the above equation

So, we have the following representation

|3| = 10x

Remove the absolute bracket in the above equation

So, we have the following representation

3 = 10x

Divide both sides by 10

This gives

3/10 = x

Rewrite as

x = 3/10

Hence, the solution is 3/10

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All three statement parametric equation are true so option D. all three are true is the correct option of the given statement.

In parametric form, the x and y coordinates are defined as functions of t, which represent angles in this form: x = r cos t and y = r sin t, and so map the whole circle. These parametric equations are known as polar equations.

The position of a point on a Ferris wheel, for instance, can be represented graphically using parametric equations. The parametric equations can be used to model every aspect, including height above the ground, spin direction, and speed.

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Answer:

The answer should be 8.

Step-by-step explanation:

If Marcus monthly salary is $1,500 plus 10% of sale, then he could earn 1500 + 0.09x per month with salary and 9% sales

Monthly salary of Marcus = $1500

The percentage incentives for sales = 10%

If the percentage of incentive for sales is 9 %

Consider the amount of sales is $x

Therefore the monthly salary of Marcus = Monthly salary of Marcus + (The amount of sales × 9/100)

Substitute the values in the equation

The monthly salary of Marcus = 1500 + (x×9/100)

Divide the numbers in the equation

= 1500 + (x × 0.09)

Multiply the numbers the numbers

= 1500 + 0.09x

Therefore, the monthly salary of Marcus will be 1500 + 0.09x

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The equation is shown in the graph as (C) g(x) = (1/7)^x - 4.

A relationship between two terms on either side of an equal sign is described by a straightforward equation.

Additionally, addition, basic arithmetic, multiplication, and division are one or more of the four arithmetic calculations that simple equations undertake.

The system of equations can be expressed in three different ways: in point-slope form, standard form, and slope-intercept form.

So, the parent function is therefore known to be:

f(x) = (1/7)^x

Observe that the y-intercept results from evaluating this in zero:

f(0) = (1/7)^0 = 1

The graph's y-intercept is located at y = -3.

As a result, the function was translated downward by 4 units, bringing it to a point 4 units below the y-intercept of the parent function.

Thus, the graphed function is as follows:

g(x) = f(x) - 4

g(x) = (1/7)^x - 4

Therefore, the equation is shown in the graph as (C) g(x) = (1/7)^x - 4.

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Complete question:
What is the equation of the function shown in the graph, given that the equation of the parent function is f(x)=(1/7)^x ?

A. g(x)=(1/7)^x−3

B. g(x)=(1/7)^x−2

C. g(x)=(1/7)^x−4

D. g(x)=(1/7)^x+3

The amount that store earns is $120. By writing the equation for the given payment of the computer by Rudo, we get the required value.

It is given that, Rudo buys a computer for $920. This is 115% of what the store paid for the same computer.

So, consider the amount paid by the store for the same computer as 'x'.

Then, from the given information we can write that,

$920 = 115% of x

⇒ 920 = 0.15x

⇒ x = 920/0.15 = 800

So, the amount paid by the store for the same computer is $800

Thus, the amount earned by the store on the sale is $920 - $800 = $120.

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The given fraction (x^2-25)/(x^2-x-20) expressed in simplest form is (x+5)/(x+4). (Option C)

A fraction is in simplest form if the numerator and denominator have no common factors other than 1. In order to solve the given fraction, the numerator and denominator must be factorized, and the common factor will be canceled out.

Factoring x^2 – 25 using the difference of squares formula that states that a^2 – b^2 = (a + b)(a - b)

x^2 – 25 = x^2 – 5^2 = (x + 5)(x – 5)

Factoring x^2 – x – 20,

x^2 – x – 20 = x^2 + 4x – 5x – 20 = x(x + 4) -5(x + 4) = (x + 4)(x – 5)

Hence, factor (x – 5) is there in both numerator and denominator, it is canceled out. Hence the fraction in the simplest form is:

(x + 5)(x – 5)/ (x + 4)(x – 5) = (x + 5)/(x + 4)

Note: The question is incomplete.  The complete question probably is:  What fraction represents(x^2-25)/(x^2-x-20) expressed in simplest form. A) 5/4 B) (x-5)/(x-4) C) (x+5)/(x+4) D)25/(x+20)

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Answer: Congruent

Step-by-step explanation:

Answer:

7/2 second

Step-by-step explanation:

The equation is: h= -2t²-9t+56

h = the height

We ask how many seconds the object will strike the ground. That means the h will be 0, and we have the equation!

0 = -2t^2 -9t + 56

First, we factor the equation and get

-(2t - 7) (t + 8) = 0

If any individual factor on the left side of the equation equals 0, the entire expression will be similar to 0. So we have the equations

2t - 7 = 0                    

t + 8 = 0

t = 7/2 and -8

Because a time can't be negative, so the answer is 7/2 second

So, the answer is in 7/2 seconds, the object will strike the ground.

.

Answer:

Step-by-step explanation:i think she multiplyed 9x4 and got36. The next thing she did is added 3 i don’t know the rest for this

It has been proved that △ABC is congruent to △CBD (△ABC ≅ △CBD) under the SAS condition.

In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

Two triangles are said to be congruent if all the sides of a triangle are equal to all the corresponding sides of another triangle.

So, we have:

AC⊥BD and BD bisect AC

We have to prove:

△ABC ≅ △CBD

∠ADB = ∠CDB (Given: AC⊥BD)

BD = BD (Common side)

AD = CD (BD bisect AC)

So, △ABC ≅ △CBD under SAS condition.

Therefore, it has been proved that △ABC is congruent to △CBD (△ABC ≅ △CBD) under the SAS condition.

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Complete question:
Given: \overline{AC} \perp \overline{BD} AC ⊥ BD and \overline{BD} BD bisects \overline{AC}. AC. Prove \triangle ABD \cong \triangle CBD△ABD≅△CBD.

Lauryn's race time equation is y = 10x. Thus,  Lauryn's pace is 10 minutes per mile, so Jeff is faster. Jeff will win.

Given that:

Jeff's race time is represented by the equation y=9x

You will find Lauryn's race time equation in the graph:

The equation of the line is of the form y = mx

where m is the slope

m = 20-0 / 2-0 = 20/2 = 10

Thus,  Lauryn's race time equation is y = 10x

For a 10k, the race time for Jeff will be:

y = 9x

y = 9×10 = 90 minutes

For a 10k, the race time for Lauryn will be:

y = 10x

y = 10×10 = 100 minutes

Therefore, Lauryn's pace is 10 minutes per mile, so Jeff is faster. Jeff wins.

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The initial value for the equation, -12x - 10y = -50, is: 5.

The initial value of a linear equation is also known as the y-intercept of the  equation. Th equation in slope-intercept form can be expressed as y = mx + b, where the initial value of the equation is represented as the value of b, while m is the slope.

Given the linear equation, -12x - 10y = -50, in standard form, to find the initial value, b, we have to rewrite the equation in slope-intercept form:

-12x - 10y = -50

Add 12x to both sides of the equations:

-10y = 12x - 50 [addition property of equality]

Divide both sides by -10

-10y/-10 = 12x/-10 - 50/-10 [division property of equality]

y = -6/5x + 5

Thus, the initial value of the y-intercept of the equation is: 5.

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Answer:

Step-by-step explanation:

57,555

Answer:5755

Step-by-step explanation: 40 X 3453 = 138,120

138,120 / 24 = 5755

To see if quitting result is significantly associated with the method used, which statistical inference procedure which should be used is the Chi-square test for two-way table.

A random sample of 584 smokers who attempted to quit smoking and were observed using the method they used to help themselves to achieve their goal was taken in order to determine whether there is a correlation between the percentage of people who successfully stop smoking and the method they used to do so (nicotine-patch or e-cigarettes). The percentage of subjects who successfully quit smoking after six months.

The t-test is not appropriate in this situation because the population mean is being tested by this statistic.

The percentage of participants who successfully quit smoking using either technique is the study's dependent variable.

The variable must be categorizable in order to do Chi-Square tests, and since the data can be arranged in a 2x2 table, all anticipated frequencies must be greater than 5.

The Goodness-to-Fit test seeks to determine if a population adheres to a particular theoretical model.

In this case, it's important to compare the percentage of smokers who were able to successfully stop using both methods and the percentage who were unsuccessful.

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The parametric equations of y = 6x -1  are [x = t, y = 6t - 1].

Parametric equations divide an equation into two or more equations, depending upon the variables in the original equation, both dependent and independent.

In parametric equations we mostly use t as an independent variable and write all equations in terms of t.

To convert a rectangular equation in its parametric representation, the easiest way to do is to equate x with the variable t in the original equation. Now, our x is equal to t. Hence, the final answer is  [x = t, y = 6t - 1].

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Answer:

-10/8x-6/8

Step-by-step explanation:

Answer: -1.25x-0.75 or 1/4*(-5x-3)

Step-by-step explanation:

The first answer is converting the original expression into decimals (0.75 = 1/4). The second answer is factoring 1/4 out of the original expression (dividing each term by 1/4).

The domain of the given function is (-∞, ∞), the rage of the function is (-∞, 1).

What is a function?

A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

The lowest to highest value of x-coordinate is the domain of the function.

The lowest to highest value of y-coordinate is the range of the function.

The highest point of the function is (2.5, 1).

The highest value of y-coordinate is 1.

Since the graph function can be expended to infinity, the lowest value of y-coordinate is -∞.

The range of the function is (-∞, 1).

Both ends of graph can be extended -∞ to ∞ for x-coordinate.

The domain of the function is (-∞, ∞).

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Answer:

The System of inequalities shown is C.

Part (c) is the correct option i.e. The total dealer's cost is $16588.36.

What is Percentage ?

Percentage, which is a relative figure used to denote hundredths of any quantity. Since one percent (symbolised as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

Given, Cost paid for car's options = 82 % $3,098 = $2540.36

           Cost paid for base price = 85 % $15,480 = $13158.

           Destination charge = $890

∴ The total dealer's cost will be :

 = Cost paid for car's options +  Cost paid for base price +  Destination charge

=  $2540.36 + $13158 + $890

= $16588.36.

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Considering the expression of a line, the y intercept has a value of 3.

A linear equation o line can be expressed in the form y = mx + b

where

Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope m of said line can be calculated using the following expression:

m= (y₂ - y₁)÷(x₂ - x₁)

Substituting the value of the slope m and the value of one of the points in the expression of a linear equation, the value of the ordinate to the origin b can be obtained.

Being (x₁, y₁)=(2,15) and (x₂, y₂)=(6,39), the slope m can be calculated as:

m= (39 - 15)÷(6 - 2)

m= 24÷ 4

m= 6

Considering point 1 and the slope m, you obtain:

15= 6×2 + b

15= 12 +b

15 - 12= b

3=b

Finally, the value of the y intercept is 3.

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Answer:

x = 2

Step-by-step explanation:

6 : 4 = 3 : x

x = 4 * 3 / 6

x = 4/2

x = 2

The value of x in the given figure is 2

Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape. But there is a difference in the size of the shape.

Given that, Triangle ABC is dilated into A'B'C'

We know that dilated triangles are similar

Hence, their corresponding sides are in equal ratio,

BC : B'C' = AC : A'C'

6 : 4 = 3 : x

x = 4 × 3 / 6

x = 4/2

x = 2

Hence, The value of x in the given figure is 2

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1) The percentage of the products last between 9 and 15 days is 68.26%.

2)The percent of the products last between 12 and 15 days is 34.13%.

3) The percentage of the people in line waited for more than 28 minutes 2.28%.

4) The percentage of the people wait for less than 16 minutes 15.87%

Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified. As an illustration, 1% of 1,000 chickens is equal to 1/100 of 1,000, or 10 birds, and 20% of the quantity is equal to 20% of 1,000, or 200.

What is the number whose 20% is 150?

20% of 150 is 30.

1) µ = 12

sd = 3

a) P(9<X<15)=P

(\frac{9-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{15-\mu}{\sigma})

9-12\sP(\s15\s12

= P(-1 < Z < 1)

= P(Z < 1) - P(Z < -1)

= 0.8413 - 0.1587

= 0.6826

= 68.26%

b) P(12<X<15)=P

(\frac{12-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{15-\mu}{\sigma})

12 - 12\sP(\s15\s12

= P(0 < Z < 1)

= P(Z < 1) - P(Z < 0)

= 0.8413 - 0.5

= 0.3413

= 34.13%

c) P(X6) = P(frac X-mu sigma frac 6 mu sigma)

=P(Z<\frac{6-12}{3})

= P(Z < -2)

= 0.0228

= 2.28%

d) P(X>15)=P(frac X–mu–sigma>frac X–mu–sigma)

=P(Z>\frac{15-12}{3})

= P(Z > 1)

= 1 - P(Z < 1)

= 1 - 0.8413

= 0.1587

= 15.87%

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