Evaluate 32+ (6-2) 4-3. (1 point)

The value of a is 2/√7.

The given quadratic equation is x² ₋ 3ax ₊ a² = 0

sum of the roots of the equation  = 4

here, A = 1

B = 3a

C = a²

Let α and β be the roots of the equation.

α ₊ β = ₋B/A

= ₋3a/1

= ₋3a

⇒ α×β = C/A

= a²/1

= a²

⇒α² ₊ β² = (α ₊ β )²  ₋ 2αβ

= (₋3a)² ₋ 2(a²)

= 9a² ₋ 2a²

therefore, 7a² = 4

a² = 4/7

a = √4/7

a = 2/√7

Hence we found the value of a as 2/√7.

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Answer:

your question is empty please give right questions to get answers

Answer:

The absolute value of -5 is 5, it's positive opposite.

Have a fantabulous day <3

Answer:

5

Step-by-step explanation:

the only real math to absolute value is if it negative make it not.

All denominators are =[tex]6\sqrt{7xz}[/tex].

The phrase simplifies manner to make something simpler to do or recognize. So, by decreasing or simplifying the fractions method we make the fraction as simple as feasible. We do this by dividing the numerator and the denominator with the aid of the most important range that could divide into both numbers precisely.

The only form is likewise known as the decreased form of a fraction. for instance, ¾ is the most effective shape of a fraction that has a not unusual thing equal to 1. but 2/4 is not the most effective form, because 2/four can in addition be simplified and written as ½.

Step one is to perceive a common issue between the denominator and numerator. The denominator and numerator are each divided by the commonplace thing. The department operation is repeated until there are not any extra elements. The fraction is said to be simplified if no greater factors go out.

[tex]4\sqrt{7xz} +2 \sqrt{7xz}[/tex]

Add similar elements :

[tex]4\sqrt{7xz} + 2\sqrt{7xz}[/tex]

[tex]= 6\sqrt{7xz}[/tex]

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Answer:

its b:0.0333! (srry if its wrong)

Step-by-step explanation:

Answer: I think this is it

Step-by-step explanation:

The arithmetic mean is found by adding the numbers and dividing the sum by the number of numbers in the list. This is what is most often meant by an average. The median is the middle value in a list ordered from smallest to largest. The mode is the most frequently occurring value on the list.

Answer:  115

Step-by-step explanation: because   if you subtract 120 - 5 you get 115 so its 115

The width of the rectangle as an exponential factor whose length is 2^(-1) m and Area is 2^(-4) m^2 is 2^(-3) meter.

As per the question statement, we are given a triangle whose length is 2^(-1) m and Area is 2^(-4) m^2 is 2^(-3) meter. We are supposed to find out the width of the rectangle as an exponential factor.

Before solving the question, we should know the formula for calculating the area of the rectangle

Area = Length * Width

Given Area = 2^(-4) m^2

Given Length =  2^(-1) m

Let Width = "x" m

2^(-4) =  2^(-1) * x

2^(-4)/2^(-1) = x

2^(-4+1) = x

2^(-3) = x

Hence width of the given rectangle as an exponential factor is

x = 2^(-3)  meter

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The value of logarithmic expression 1/2 (logx4 + logx y) - 3 logx z as a single logarithm is (log4x^2y)^1/2/logx z^3

By considering the given  logarithmic expression

1/2 (logx4 + logx y) - 3 logx z

=1/2 (log4x^2y)-3 logx z

=(log4x^2y)^1/2- logx z^3

=(log4x^2y)^1/2/logx z^3

The logarithm is exponentiation's opposite function in mathematics. This means that the exponent to which a fixed number, base b, must be raised in order to produce a given number x, is represented by the logarithm of that number.

Based on the logarithm base, the logarithmic functions are broadly divided into two types. There are common and natural logarithms. Common logarithms are based on the number 10, while natural logarithms are based on the base "e." The power to which a number must be raised in order to obtain another number is known as a logarithm (see Section 3 of this Math Review for more about exponents).

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If a 2 N and 6 N pull on an object to the right and a 4 N force pulls to the left a 0.5 kg object. The net force on the object  is: 4N.

First step is to calculate the force to the right

Force to the right = 2N+6N

Force to the right = 8N

Second step is to calculate the net force on the object using this formula

Net force= Force to the right- Force to the left

Where:

Force to the right = 8N

Force to the left = 4N

Let plug in the formula

Net force= 8N - 4N

Net force= 4N

Therefore if a 2 N and 6 N pull on an object to the right and a 4 N force pulls to the left a 0.5 kg object. The net force on the object  is: 4N.

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Answer: 1 and 7 over 10

Step-by-step explanation:

Answer:

[tex]\frac{1}{10}[/tex]

Step-by-step explanation:

[tex]\frac{9}{10} + ( -\frac{4}{5} )[/tex]

change the fraction  [tex]( -\frac{4}{5} )[/tex] to[tex]( -\frac{8}{10} )[/tex]

I multiplied both the denominator and numerator by 2

[tex]\frac{9}{10} + ( -\frac{8}{10} )[/tex]

simplify the negative

[tex]\frac{9}{10} -\frac{8}{10}[/tex]

subtract the numerator not the denominator

[tex]\frac{1}{10}[/tex]

The quotient should have four significant digits, which is the number of significant digits required to divide the numbers into equal parts.

Consider the two numbers,

2.058 × 10⁹ and 3.0571 × 10⁻⁴

Now, let x = 2.058 × 10⁹ and;

y = 3.0571 × 10⁻⁴

When we dived these two equations.

( x / y) = [ 2.058 × 10⁹ / 3.0571 × 10⁻⁴ ]

The significant digits in the number with the smaller number of significant digits should be used to determine the number of significant digits in a quotient where two numbers are divided by one another.

Here, 2.058 × 10⁹ is the figure with the fewer significant digits.

Since 0 comes after non-zero numerals, this number has four meaningful digits.

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Answer:

p = 2/5

Step-by-step explanation:

[tex]7p+8=12-3p \\ \\ 10p+8=12 \\ \\ 10p=4 \\ \\ p=2/5[/tex]

Answer:

No

Step-by-step explanation:

If you substitute, you get

2(5) - 10 >= 3

10 - 10 >= 3

0 >= 3, which is false!

Answer:

8,1 is the correct answer

The number of bleacher seats that the stadium will include will be 8000 seats.

In this situation, the The team's policy is to have a 3:2 ratio of premium seats to bleacher seats.

Therefore, the total number of premium seats are:

= 4500 + 7500

= 12000

The number of bleachers will be:

= 2/3 ×12000

= 8000

Therefore, the number of bleacher seats that the stadium will include will be 8000 seats.

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[tex]{\huge\color{green}{\boxed{\fcolorbox{white}{black}{꧁ANSWER꧂}}}}[/tex]

15+4a=7a

15=3a

3a=15

a=15/3=5

The solution of the linear equation with single variable 7a = 15 + 4a will be 3.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation is given below.

15 + 4a = 7a

Simplify the equation, then we have

7a = 15 + 4a

7a - 4a = 15

3a = 15

a = 15 / 3

a = 3

The solution of the linear equation with single variable 7a = 15 + 4a will be 3.

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The inverse of the function will be:

if x is an integer, then f⁻¹ (x) = x - 1

for all other x , f⁻¹ (x) = x - 2

We are given the function as:

if x is an integer, then f (x) = x + 1

for all other x , f (x) = x + 2

Now, we need to find the inverse of the function.

We will do it in 2 parts.

First we will find the inverse of f (x) = x + 1 and then of f (x) = x + 2.

For f (x) = x + 1:

y = x + 1

y - 1 = x

x = y - 1

f⁻¹ (x) = x - 1

For f (x) = x + 2

y = x + 2

y - 2 = x

x = y - 2

f⁻¹ (x) = x - 2

Therefore, the inverse of the function will be:

if x is an integer, then f⁻¹ (x) = x - 1

for all other x , f⁻¹ (x) = x - 2

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What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Given:

y = x³ + 2x +5

z = x² + 7x + 1

To find: Value of 2y + z in terms of x

Finding:

Now, 2y = 2 (x³ + 2x + 5) = 2x³ + 4x + 10

Then, 2y + z =  2x³ + 4x + 10 + x² + 7x + 1

=> 2y + z = 2x³ + x² + 11x + 11

Hence, Option C is the correct option.

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The solution of the given equation by rounding off it to the nearest ten-thousandth is 0.5185.

What is a round-off of the digit?

In mathematics, a round-off is defined as an approximation of the given number to a fewer number of significant digits by taking into consideration some rules.

For eg: 13.58 ~ 13.6

Solving the given equation 9²x = 42

As given equation is 9²x = 42

81x = 42

x = 42 / 81

= 14 / 27

= 0.5185

Hence, the solution of the given equation is 0.5185.

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The equation for the value of the painting of the years is y = 3000 + 330.4(x).

The estimated worth of the painting in 2030 is $7956.

In 2016, the worth of the painting is $3000.

In 2021, the worth of the painting is $4652.

The increase in worth in 5 years from 2016 to 2021 is:

= $4652 - $3000 = $1652

Hence, the increase in painting worth per year will be:

= $1652 / 5 = $330.4

Now, if x is in years and y is the worth of the painting in $.

Then, the equation for the worth of a painting is:

y = 3000 + 330.4(x)

From 2015 to 2030 the span is 15 years.

Then, the value of the painting in 2030.

So,

y = 3000 + 330.4(x)

y = 3000 + 330.4 × 15

y = 3000 + 4956

y = $7956

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Answer:

8.25 Hours she worked last week

Step-by-step explanation:

Answer:

1 3/4

Step-by-step explanation:

Answer: Option D

Step-by-step explanation: Explanation:

7/4 is an improper fraction. Let's take the numerator and divide it by the denominator.

Divide 7 by 4. The quotient digit is 1.

Multiply the quotient digit 1 by the divisor 4.

Subtract 4 from 7.

The result of 7 divided by 4 is 1 with a remainder of 3.

Thus, 7/4 as a mixed number can be written as 1 3/4.

Tt would take 15 minutes for there to be exactly 60 gallons in the hot tube.

Proportion can be defined as the mathematical comparison of two numbers.

It is also known as an equation defining that the two given ratios are equivalent to each other.

From the information given, we have the following deductions;

To determine the time taken for 60 gallons to be left in the hot tube, we have to subtract the number from the total number of gallons, we have;

= 150 - 60

Find the difference

= 90 gallons

Now,

If 6 gallons are drained in 1 minute

Then 90 gallons are drained in x minutes

cross multiply

x = 90/ 6

x = 15 minutes

Thus, it would take 15 minutes for there to be exactly 60 gallons in the hot tube.

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Answer:

The age of the person who entered the room is 27

Step-by-step explanation:

If there are 6 people and the mean is 19 you would need to multiply 19 by 6. You will get 114 and now you just subtract the age of the others. 114-23-20-15-12-17=27.

The possible pairs when rewriting the position and sequence values are (d) (1, 1), (2, 4), (3, 9), (4, 16), (5, 25)...

The sequence is given as

1, 4, 9, 16, 25...

The position and sequence values of the above sequence are

1, 2, 3, 4, 5...

1, 4, 9, 16, 25...

When represented as an ordered pair, we have

(1, 1), (2, 4), (3, 9), (4, 16), (5, 25)....

Hence, the possible pairs when rewriting the position and sequence values are (d) (1, 1), (2, 4), (3, 9), (4, 16), (5, 25)....

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The inequality that would represent the possible values for the number of hours babysitting, bb, and the number of hours walking dogs, dd, that Ryan can work in a given week is b + d >= 9.

From the information, Ryan is working two summer jobs, babysitting and walking dogs. He must work at least 9 hours altogether between both jobs in a given week.

Therefore, the inequality that would represent the possible values for the number of hours babysitting, b, and the number of hours walking dogs, d, that Ryan can work in a given week will be:

Babysitting + Walking dogs >= 9

b + d >= 9

Therefore, the inequality is b + d >= 9.

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We're given:

First, we must identify the pattern:

This is our written pattern statement. To convert this into an expression, we can use the following format:

[tex]mn+b[/tex]

In this case, m is 6, and b is 2 - 6, or -4. Plug these numbers into the expression:

[tex]6n+(-4)\\6n-4[/tex]

To find the 42nd term, plug in 42 as n:

[tex]6n-4\\6(42)-4\\248[/tex]

The 42nd term is 248.

a₄₂= 248.

An arithmetic progression or arithmetic sequence (AP) is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 5, 7, 9, 11, 13, 15, . . . is an arithmetic progression with a common difference of 2.

If the initial term of an arithmetic progression is a and the common difference of successive members is d, then the n-th term of the sequence  

This is an arithmetic sequence since there is a common difference between each term. In this case, adding

6

to the previous term in the sequence gives the next term. In other words,

aₙ= a₁+ d (n-1)

substitute  in the values of a₁=2 and d=6

simplify each term

aₙ= 6n-4

substitute and calculate you will get

a₄₂= 248.

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