Find the length of side x in simplest radical form with a rational denominator.
60
X
30
6

b+3=12

because a+5=b+3 and a+5=12 which means b+3 must be 12 as well

Answer:

x = 4

Step-by-step explanation:

x = 4

because 5x + 20 = 5(x + 4)

Answer:

x = 14

Step-by-step explanation:

x = 14

Answer:

Taylor would need 4 hours to read the whole novel.

Step-by-step explanation:

Proportions

According to the conditions of the problem, Taylor reads 1/6 of a novel in 2/3 of an hour.

To read the entire novel he would need six times that time.

Thus, to read the whole novel, Taylor would need 6*2/3 = 12/3= 4 hours

Taylor would need 4 hours

Given:

Numbers: 7, -8

a.) The two factors of the first number such that their product is the first number.

b.) Their sum is the second number.

Let,

x = the first factor

y = the second factor

Generated Equations:

a.) The two factors of the first number such that their product is the first number.

xy = 7

b.) Their sum is the second number.

x + y = -8

Let's determine the missing factors using the substitution method:

xy = 7

y = 7/x Substitute to the second equation.

x + y = -8

x + 7/x = -8

(x + 7/x = -8)(x)

x^2 +

Using common factor method, sum of the given expressions is 17.14m + 9.37

what is common factor ?

In mathematics, a common factor is a factor that two or more numbers have in common. For example, the numbers 12 and 18 have common factors of 1, 2, 3, and 6. The greatest common factor (GCF) is the largest number that divides evenly into two or more numbers.

In algebra, we often use the term "common factor" when referring to expressions. When two or more algebraic expressions have a factor in common, we can use the distributive property to factor out the common factor.

According to the question:
To add the expressions (5.19+4m)+(4.18+3.95m), we can first group the like terms:

(5.19 + 4.18) + (4m + 3.95m)

9.37 + 7.95m

So, the sum of the expressions is:

(5.19+4m)+(4.18+3.95m) = 9.37 + 7.95m

Now, we can use the distributive property to factor out a common factor of m from 7.95m:

9.37 + 7.95m = 4m + (5.19 + 7.95)m

We can factor out a common factor of 1 from (5.19 + 7.95)m:

4m + (5.19 + 7.95)m = (4 + 5.19 + 7.95)m

Adding the coefficients, we get:

4 + 5.19 + 7.95 = 17.14

Therefore, the sum of the expressions is:

(5.19+4m)+(4.18+3.95m) = (4m+5.19)+(3.95m+4.18)= 17.14m + 9.37.

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Answer:

\(\displaystyle \frac{75}{2}\) or \(37.5\)

Step-by-step explanation:

We can answer this problem geometrically:

\(\displaystyle \int^6_{-4}f(x)\,dx=\int^1_{-4}f(x)\,dx+\int^3_1f(x)\,dx+\int^6_3f(x)\,dx\\\\\int^6_{-4}f(x)\,dx=(5*5)+\frac{1}{2}(2*5)+\frac{1}{2}(3*5)\\\\\int^6_{-4}f(x)\,dx=25+5+7.5\\\\\int^6_{-4}f(x)\,dx=37.5=\frac{75}{2}\)

Notice that we found the area of the rectangular region between -4 and 1, and then the two triangular areas from 1 to 3 and 3 to 6. We then found the sum of these areas to get the total area under the curve of f(x) from -4 to 6.

Answer:

\(\dfrac{75}{2}\)

Step-by-step explanation:

The value of a definite integral represents the area between the x-axis and the graph of the function you’re integrating between two limits.

\(\boxed{\begin{minipage}{8.5 cm}\underline{De\:\!finite integration}\\\\$\displaystyle \int^b_a f(x)\:\:\text{d}x$\\\\\\where $a$ is the lower limit and $b$ is the upper limit.\\\end{minipage}}\)

The given definite integral is:

\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x\)

This means we need to find the area between the x-axis and the function between the limits x = -4 and x = 6.

Notice that the function touches the x-axis at x = 3.

Therefore, we can separate the integral into two areas and add them together:

\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x=\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\)

The area between the x-axis and the function between the limits x = -4 and x = 3 is a trapezoid with bases of 5 and 7 units, and a height of 5 units.

The area between the x-axis and the function between the limits x = 3 and x = 6 is a triangle with base of 3 units and height of 5 units.

Using the formulas for the area of a trapezoid and the area of a triangle, the definite integral can be calculated as follows:

\(\begin{aligned}\displaystyle \int^6_{-4} f(x)\; \;\text{d}x & =\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\\\\& =\dfrac{1}{2}(5+7)(5)+\dfrac{1}{2}(3)(5)\\\\& =30+\dfrac{15}{2}\\\\& =\dfrac{75}{2}\end{aligned}\)

Answer:

I think the answer would be c but I am not to Sure

Answer:

Unknown

Step-by-step explanation:

Neither the graphs or the inequality(ies) were provided in the question, here's some tips to prevent this in the future

- take a screenshot of the problem (or more then 1 screenshot, up to 5 last i seen) and post it with the question, i don't know about mobile or Mac but for windows 10 (on most keyboards0 you can click PrtSc (Print Screen) which will save your screen as a pic in your clipboard which you can then put in a photo editing software by pasting it onto the canvas

- type out a description of the problem to try and convey what it is you need solved, don't forget its ok to ask for a pic for reference ^^

- re-word your question in your own words to ask how to solve said type of problem, then you the info from the answers to help you solve your question

these are just suggestions to help prevent this in the future, take care and stay safe ^^

Answer:

6/11, 11/2, 5.77, 5.772

Step-by-step explanation:

9514 1404 393

Answer:

  c.  20 days

Step-by-step explanation:

Divide the total available rice by the rate of its use:

  time = quantity/(rate of use)

  (15 lb)/(0.75 lb/day) = (15/0.75) days = 20 days

Answer:

Step-by-step explanation:

the degree of a polynomial determines 1:1 the number of solutions.

a quadratic equation (degree 2) has 2 solutions.

the general solution is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = -4

b = -4

c = -1

so,

x = (4 ± sqrt((-4)² - 4×-4×-1))/(2×-4)

when we look at the square root

16 - 16

we see that it is 0.

the square root of 0 is 0, and there is no difference between -0 and +0.

so, we get only one (real) solution : 4/-8 = -1/2

but : formally, there are still 2 solutions (as this is a quadratic equation). they are just identical.

so, I am not sure what your teacher wants to see in this case as answer.

my answer would be 2 real identical solutions. did this help?

Answer:

x = 5

y = 1

Step-by-step explanation:

2x - y = 9

3x + 4y = 19

We multiply the first equation by 4

8x - 4y = 36

3x + 4y = 19

11x = 55

x = 5

Now we put 5 in for x and solve for y

2(5) - y = 9

10 - y = 9

-y = -1

y = 1

Let's Check the answer

2(5) - 1 = 9

10 - 1 = 9

9 = 9

So, x = 5 and y = 1 is the correct answer.

Answer:

4 cm, 7 cm, 11 cm

Step-by-step explanation:

The sum of two shorter sides of a triangle is always greater than the larger side.

1 cm + 5 cm < 7 cm ( can't be the third side )

5 cm + 4 cm > 7 cm ( can be )

5 cm + 7 cm > 7 cm ( can be )

5 cm + 7 cm > 11 cm ( can be )

5 cm + 7 cm < 13 cm ( can't be )

5 cm + 7 cm < 15 cm ( can't be )

Answer: 34 of them do

Step-by-step explanation: It says that 22 of them compete in the fox-trot and then it says 18 compete in the tango and then at the end it says that 6 compete in both. Based on what that said I can confirm that it's 36 because  the question they want us to answer is only the ones who do fox-trot or tango not both

Hope this helps :)

Answer:

22+18-6=34

Step-by-step explanation:

Let's call F the set of dancers who dance fox-trot (not necessarily just that, they may also dance something else, what's important is that, amongst other things, they also dance fox-trot), and T the set of dancers who dance tango.

We know that F has 22 elements, T has 18, and the intersection of sets F and T (e. g. those who dance both tango and fox trot) has 6 ones.

Now, let's take a further look at how those sets are made up.

Let's take set F, for example. In it, there is some number of dancers who dance only fox trot, and some others who dance both fox trot and tango.

Similarly, set T is made up of those who dance only tango and those who dance both fix trot and tango.

Therefore, if we were to add those sets together, we would get the number of those who only dance tango, plus the number of those who only dance fox trot, plus two times the number of those who dance both.

We can make up for that, and get the desired result, by subtracting the union of sets F and T from their sum.

Hope this was a clear explanation :)

Answer:  Four and five hundredths

The "and" is the decimal point separating the whole part (4) from the decimal digits (05)

You can think of 0.05 as 5/100, or you can see that the 5 is in the hundredths place.

Answer:

Four point five hundredths.

Step-by-step explanation:

The 0.05 is referring to five hundredths, and I just put 4.05 into word form.

Answer: (-5,35)

Step-by-step explanation:

-7x=-5x+10

Get x on one side by adding 5x

-2x=10

Simplify by dividing by -2

X=-5

Substitute into y=-7x

Y=-7(-5)

Simplify

Y=35

Answer:

\(\frac{8}{x}\)

Step-by-step explanation:

what is the sum 3/x+9+5/x-9

\(\frac{3}{x} + 9 + \frac{5}{x} - 9 =\)     (add \(\frac{3}{x}\) and \(\frac{5}{x}\))

\(\frac{8}{x} + 9 - 9 =\)            (solve 9 - 9 = 0)

\(\frac{8}{x}\)                           ( your answer)

Answer: D

Step-by-step explanation:

I did it

The statement that correctly describes the function is:

The function is decreasing and nonlinear from x = 4 to x = 11.

Option D is the correct answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

From the graph,

We see that,

The function is increasing and nonlinear from x = -7 to x = -4.

The function is constant and linear from x = -4 to x = 1.

The function is increasing and nonlinear from x = 1 to x = 4.

The function is decreasing and nonlinear from x = 4 to x = 11.

Thus,

The function is decreasing and nonlinear from x = 4 to x = 11.

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Answer:

Step-by-step explanation:

We know that:

Let's compare with the slope in the equation and the slope formula.

Hence, the 'run' must be 4.

Hoped this helped.

\(BrainiacUser1357\)

Solution :

The formula for the linearization of a function \($f(x)$\) at a point \($x$\) = a is given as

\($L(x)=f(a)+(x-a)f'(a)$\)

Assuming the time is t and the distance travelled is \($f(t)$\), that makes the speed as \($f'(t)$\).

So substituting them in the linearization formula,

A. At t = 7 minutes

   f(7) = 2.5 km

    f'(7) = 0.5 kpm

  ∴ \($L_7(t)=f(7)+(t-7)f'(7)$\)

             \($=2.5+(t-7)0.5$\)

              \($=2.5+0.5t-3.5$\)

              \($=0.5t-1$\)

B. At t = 18 minutes

      f(18) = 14.8 km

    f'(18) = 0.8 kpm

  ∴ \($L_{18}(t)=f(18)+(t-18)f'(18)$\)

               \($=14.8+(t-18)0.8$\)

              \($=14.8+0.8t-14.4$\)

              \($=0.8t-0.4$\)

C. Substituting the value of t as 14 in both the linearization to determine the position at 14 minutes, we get

\($L_7(14)=0.5(14)-1.0$\)

          = 7 - 1

          = 6 km

\($L_{18}(14)=0.8(14)+0.4$\)

            = 11.2 + 0.4

            = 11.6 km

D. According to the linearization at 7, the distance travelled between the 7 minutes and 14 minutes is = 6 km - 2.5 km

                                           = 3.5 km

And between the 14 minutes and 18 minutes is = 14.8 km - 6 km

                                                                              = 8.8 km

This is an average speed of 0.5 kpm in the first interval and an average speed of 2.2 kpm.

Now, according to the linearization of 18, the distance travelled between the 7 minutes and the 14 minutes is = 11.6 km - 2.5 km

                                                           = 9.1 km

And between 14 minutes and 18 minutes is = 14.8 km - 11.6 km

                                                                       = 3.2 km

This gives an average speed of 1.3 kpm in the first interval and 0.8 kpm in the second interval.

Therefore, the second approximation is the better one since the average speed are closer to the actual readings in the second linearization.  

Answer: r

Step-by-step explanation:

Answer:

495.6 cm, or 4.956 m

Step-by-step explanation:

1:84 means that a centimeter on the drawing has to be multiplied 84 times in order to find the real length. Therefore, 5.9 x 84 = 495.6

Answer: 24

Step-by-step explanation:

To find the area of the composite figure, we need to find the area of the sector and the area of the triangle and then add them together.

Area of sector = (θ/360) * π * r^2, where θ is the angle of the sector in degrees, r is the radius of the circle.

The angle of the sector can be found by subtracting the angle of the triangle from 360 degrees. The radius of the circle can be found by dividing the length of the arc by the angle of the sector.

Length of the arc = (θ/360) * 2πr = (60/360) * 2 * 3.14 * 4 = 4.19

Radius of the circle = 4.19/60 = 0.07

Angle of sector = 360 - 60 = 300 degrees

Area of sector = (300/360) * 3.14 * 0.07^2 = 0.0041

The area of the triangle can be found using the formula:

Area of triangle = (1/2) * base * height = (1/2) * 8 * 6 = 24

Therefore, the total area of the composite figure is:

0.0041 + 24 = 24.0041

Rounding to the nearest hundredth, the area of the composite figure is approximately 24.00.

Answer: 15 years old

Step-by-step explanation:

maria is 15 , selena is 17 , and sophia is 12

In summary, the difference between these two regression equations is mainly in the notation used to represent the regression coefficients, with lowercase letters used in simple linear regression models and uppercase letters used in multiple linear regression models.

In mathematics, an equation is a statement that asserts that two mathematical expressions are equal to each other. It usually contains one or more variables, which are placeholders for values that can vary. Equations are used to describe mathematical relationships and to solve problems. They can take many forms, such as linear equations, quadratic equations, polynomial equations, exponential equations, and so on. The specific form of an equation depends on the type of problem being solved and the mathematical relationships involved.

Here,

Both the regression equations ^y = b0 + b1x and Y = B0 + B1x are used to model the relationship between a dependent variable (y or Y) and an independent variable (x). However, the key difference between these two equations lies in the notation used to represent the regression coefficients.

In the first equation ^y = b0 + b1x, the regression coefficients are represented with lowercase letters (b0 and b1). This notation is typically used in simple linear regression models where there is only one independent variable. The hat symbol (^) over the y indicates that this is an estimated value of y based on the model.

In the second equation Y = B0 + B1x, the regression coefficients are represented with uppercase letters (B0 and B1). This notation is typically used in multiple linear regression models where there are two or more independent variables. The capitalization of the letters helps to distinguish them from the coefficients in the simple linear regression model.

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Answer:

Step-by-step explanation:

The curve crosses the x axis (has zeros) at -1 and -4

Therefore it has factors of (x + 1) and (x + 4) and possibly a constant factor C

y = C(x + 1)(x + 4)

plug in the known y intercept

16 = C(0 + 1)(0 + 4)

16 = 4C

C = 4

as they are looking for two factors and one is give as (x + 1), the other must be C(x + 4) = 4(x + 4) = 4x + 16

Hello!

3x + 4 = 1

3x + 4 - 4 = 1 - 4

3x = -3

3x/3 = -3/3

x = -1

The solution of the equation 3x + 4 = 1 is -1.

The answer is:

C) x = -1

Work/explanation:

To solve this equation, I subtract 4 from each side:

\(\sf{3x+4=1}\)

Subtract :

\(\sf{3x=-3}\)

Divide each side by 3:

\(\sf{x=-1}\)

Hence, C is correct.

First, lets figure out which ones add up to 14

5+9=14

6+8=14

8+6=14

9+5=14

They all add up to 14.

Next, reverse the digits and see if it is 36 less than the original number

95 is not 36 less than 59

86 is not 36 less than 68

68 is only 18 less than 86

59 is 36 less than 95

So, the answer would be 95.

Complete Question

Let p, q and r be the propositions

p :  You have a flu

q: You miss the final examination

r: You pass the course

Identify the English translation of the compound proposition (p → ¬r) ∨ (q → ¬r).

Answer:

The solution is

if you have a flu, then you do not pass the course or

if you miss the final examination, you do not pass the course

Step-by-step explanation:

Generally  

        This symbol p → mean (if  p then  )

and  This symbol ¬r means (not r )

and   the symbol v means  (  or )

So   (p → ¬r) ∨ (q → ¬r). can be translated as

if you have a flu, then you do not pass the course or

if you miss the final examination, you do not pass the course

The two formats used in an observation checklist are: D. Performance profiles and SMART Targets.

Observation checklist can be defined as the process of observing and evaluating  a person or group of  people performance.

When carrying out an observation checklist  endeavors to make sure that  the checklists are dated.

Observation checklist includes Performance profiles and SMART Targets. Where SMART stands for:

S=Specific

M=Measurable

A=Achievable

R=Relevant

T= Time-Bound

Therefore the correct option is D.

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