what is √6 over √5 in simplest radical form

To solve 5[tex]x^2[/tex] = -30x - 65, we can use the quadratic formula. However, the equation has no real solutions.

To solve 5[tex]x^2[/tex] = -30x - 65, we can start by rearranging the equation to form a quadratic equation in standard form. The equation becomes 5[tex]x^2[/tex]+ 30x + 65 = 0. We can then solve this quadratic equation by factoring, completing the square, or using the quadratic formula.

In this case, the quadratic equation does not factor easily, so we can use the quadratic formula. The quadratic formula is x = (-b ± sqrt([tex]b^2[/tex] - 4ac)) / (2a), where a, b, and c are the coefficients of the quadratic equation. Plugging in the values, we get x = (-30 ± sqrt([tex](-30)^2[/tex] - 4(5)(65))) / (2(5)). After simplifying, we get x = (-30 ± sqrt(900 - 1300)) / 10.

Since the expression inside the square root is negative, there are no real solutions to the equation. Therefore, the equation 5[tex]x^2[/tex] = -30x - 65 has no solution.

https://brainly.com/question/30098550

#SPJ2

Answer:

part a.

2/3 = x/6

3x = 12

x = 4

that is the answer

Final answer:

The actual distance between two cities on a map with a scale of 1 cm:12 km, where the map distance is 6.8 cm, can be calculated as 6.8 cm × 12 km/cm, resulting in an actual distance of 81.6 kilometers.

Explanation:

Understanding Map Scale Problems

To calculate the actual distance between two cities on a map using the scale given, you would use the following steps:

First, identify the scale of the map provided; in this case, it is 1 cm : 12 km.

Next, measure the distance on the map between the two cities; the distance is 6.8 cm.

Finally, multiply the distance on the map by the scale factor to find the actual distance. That is, 6.8 cm (distance on the map) × 12 km/cm (scale factor) = 81.6 km (actual distance).

Therefore, the estimated actual distance between the two cities is 81.6 kilometers.

To find the marginal cost at the given production level x, differentiate the cost function C(x) and substitute the value of x. The units of measurement for the marginal cost are dollars per unit (x).

To find the marginal cost at the given production level x, we need to find the derivative of the cost function C(x) with respect to x. Let's differentiate the function:

C'(x) = 70 - 1,000/x^2

Now, substitute x = 100 into the derivative:

C'(100) = 70 - 1,000/100^2 = 70 - 1 = 69

The units of measurement for the marginal cost are dollars per unit (x).

https://brainly.com/question/29583181

#SPJ3

The answer to this is: TRUE

Answer:

answer d 15 to ifinity

Step-by-step explanation:

Answer:

10 + 10 = 20 ; 456 + 543 = 999

Step-by-step explanation:

Aaron should pay $80 in the first month to satisfy the conditions of repaying $150 in 4 monthly installments, with each subsequent payment being half of the previous one.

Aaron needs to pay back a total of $150 in 4 monthly installments, with each payment being half the amount of the previous month. Let's denote the first payment amount as X. Then, the second payment would be X/2, the third would be X/4, and the fourth would be X/8. These four payments need to sum up to $150, which is the total amount Aaron borrowed.

To find the value of X, we can set up the following equation based on the aforementioned information:

X + X/2 + X/4 + X/8 = 150

To solve this equation, we should find a common denominator, which is 8 in this case, and rewrite the equation as:

8X/8 + 4X/8 + 2X/8 + X/8 = 150

Adding the numerators together gives us:

(8X + 4X + 2X + X) / 8 = 150

15X / 8 = 150

Multiplying both sides by 8 and then dividing by 15 gives us:

X = (150 × 8) / 15

X = 1200 / 15

X = 80

Thus, Aaron should pay $80 in the first month to repay the money on schedule as he promised.

The strength of a cable is directly proportional to the square of its diameter. This relationship allows us to compute the strength of a cable of given diameter. Using given data, a cable with 3cm diameter can support 1800kg.

The strength of a cable is said to be proportional to the square of its diameter. This is a mathematical concept of direct proportionality. In this specific case, the proportionality can be written as S=k(D^2), where S is the strength (or weight it can support), D is the diameter and k is a constant.

For a 2-cm cable, we can plug the values into the equation to find the constant: 800= k(2^2), therefore k=800/4=200.

Now, knowing that k=200, we can calculate the strength of a 3-cm cable by plugging in the values: S=200*(3^2) =1800. Therefore, a cable with a 3-cm diameter can support 1800kg.

https://brainly.com/question/35322840

#SPJ11

Answer: 55 tickets

Step-by-step explanation:

Given : The local baseball team donated 220 game tickets to the program.

Also, Danielle divides the tickets evenly among the 4 units in the program.

Then, the number of  tickets will each unit get =[tex]220\div 4[/tex]

i.e. the  number of tickets will each unit get =55

Hence, Each units will get 55 tickets.

Answer:

Total number of dozen muffins they both bake is [tex]2\frac{8}{12}[/tex]    

Step-by-step explanation:

Given : Arthur baked [tex]1\frac{7}{12}[/tex] dozen muffins. Nina baked [tex]1\frac{1}{12}[/tex] dozen muffins.

We have to find the total number of dozen muffins did they both bake.

To find the total number of dozen muffins did they both bake is equal to number of dozen of muffins Arthur bake and  number of dozen of muffins Nina bake

That is

Mathematically written as ,

Total number of dozen muffins = number of dozen of muffins Arthur bake + number of dozen of muffins Nina bake

Given : Arthur baked [tex]1\frac{7}{12}[/tex] dozen muffins

and Nina baked [tex]1\frac{1}{12}[/tex] dozen muffins.

Total number of dozen muffins = [tex]1\frac{7}{12}+1\frac{1}{12}[/tex]  

Simplify, we get,

Total number of dozen muffins = [tex]1\frac{19}{12}+\frac{13}{12}[/tex]  

Adding, we get,

Total number of dozen muffins = [tex]1\frac{19+13}{12}=\frac{32}{12}[/tex]  

Thus, Total number of dozen muffins they both bake is [tex]2\frac{8}{12}[/tex]    

Answer:

A. The student followed all rules correctly and solved for c

Step-by-step explanation:

Given the equation [tex]3c + 6 - 4c = 12 c + 7[/tex], the student followed all rules correctly because:

[tex]3c - 4c = - c[/tex]

[tex]-c +6 + (-6) = 12c +7+(-6)[/tex]

[tex]-c +(-12c) = 12c +(-12c) +1[/tex]

[tex]-\frac{13c}{13}= -\frac{1}{13}[/tex]

And he got it:  

[tex]c = -\frac{1}{13}[/tex]

Now we´ll check this work with the original equation:

[tex]3c + 6 - 4c = 12 c + 7[/tex]

[tex]3(-\frac{1}{13}) + 6 - 4(-\frac{1}{13}) = 12(-\frac{1}{13}) + 7[/tex]

[tex]-\frac{3}{13} + 6 +\frac{4}{13} = -\frac{12}{13} +7[/tex]

[tex]6 + \frac{1}{13} = \frac{79}{13}[/tex]

[tex]\frac{79}{13} = \frac{79}{13}[/tex]

Very good  √

a

Square root of 5 units

Step-by-step explanation:

i just had this problem

because it is arithmetic not geometric 14,x,56 An = An-1 + d x = 14 +d --> d = x-14 56 = x +d --> d = 56-x By substitution x-14 = 56-x 2x = 70 x = 35 the sequence is 14,35,56

Answer:

trasposing of numbers

Step-by-step explanation:

The 40th term of the given arithmetic sequence is -374. Hence the correct option is B.

The 40th term of the arithmetic sequence is found using the formula for the nth term of an arithmetic sequence: an = a1 + (n-1)d, where a1 is the first term and d is the common difference.

Given the sequence: 16, 6, -4, -14, the common difference d = 6 - 16 = -10. Plugging into the formula: a40 = 16 + (40-1)(-10) = -374.

Answer: x + 7/ 3

Assuming the said quantity is divided by 3x+15 as a denominator in fraction form.

After dividing, the simplest form, x + 7/ 3, can be found after dividing both the numerators and the denominators by the smallest common factor.

Proof of validity is shown below.