Solve. Check for extraneous solutions. (5 x-4)¹/₂-x=0

If teacher has three dogs named Gabby, Ranger, and Rico then in 6 different ways can the dogs be lined up for their photograph.

The term permutation refers to a mathematical calculation of the number of ways a particular set can be arranged.

If teacher has three dogs named Gabby, Ranger, and Rico.

We can lineup 3 dogs in 3! ways.

3!=3*2=6 different way.

Gabby, Ranger, Rico

Ranger, Rico, Gabby

Rico, Gabby, Ranger

Ranger, Gabby, Rico

Rico, Ranger, Gabby

Gabby, Rico, Ranger.

Therefore in 6 different ways can the dogs be lined up for their

photograph.

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Answer:

n = 1

Step-by-step explanation:

triple n is 3 times n = 3n , then

3n - 13 = - 10 ( add 13 to both sides )

3n = 3 ( divide both sides by 3 )

n = 1

Answer:

[tex]3(2a + 3b) [/tex]

Step-by-step explanation:

3×2a+3×3b

Answer:

1. 9x + 7

3. 7x + 1

5. 5x^2 + 3x

7. 8x + 8

Step-by-step explanation:

Answer:

10 hours

Step-by-step explanation:

49kilograms/7hours = 7 kilograms per hour

70 kilograms ÷ 7 kilograms per hour = 10 hours

Answer:

x = 90

Step-by-step explanation:

x - 11 = 79 ( isolate x by adding 11 to both sides )

x = 79 + 11 = 90

It is better to express the bull's weight as 1,700 pounds.

It should be noted that from the information given, the bull weighs 1,700 pounds.

It should be noted scientific notation isn't required in all situation.

In this case, it's better to express the bull's weight as 1,700 pounds. This aligns better with the weight.

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Answer:

1 block per minute: 24 minutes. 2 blocks per minute: 12 minutes.

Step-by-step explanation:

For the 2 blocks per minute one, it would just be 24/2 because she is going 2 blocks per minute, equaling 12.

Question:

Rewrite 50,800,000 in scientific notation.

Answer:

5.08 x 10 to the power 7

Step-by-step explanation:

To get the answer you would first need to change the number into a decimal which would be 50800000.0 then you count the number of zeros in this case there is 7 but then number is not 1-10 so you could use the bumps to make it a decimal which is 5.08

I hope it helps you!

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Answer:

5.08 times 10, to the power of 7

Step-by-step explanation:

Have a great rest of your day
The one and only
Mr. Universe

Answer:

d because every number power of zero is one ande the negative exponent defines to 1/that number

Answer:

 2x +5y  ≥ 175 is required inequality

Step-by-step explanation:

answer:

(15-x)/3

"one third the difference of 15 and a number."

Answer:

[tex]\sin ^2\left(\theta\right)[/tex]

Step-by-step explanation:

Pythagorean identity

[tex]1=\cos ^2\left(x\right)+\sin ^2\left(x\right)\\1-\cos ^2\left(x\right)=\sin ^2\left(x\right)\\=\sin ^2\left(\theta\right)[/tex]

10 Ounces of 30% alcohol solution must be mixed.

Let the amount of 30% solution to be added = x ounces

So , total solution is (40+x) ounces.

we know that 30%=0.30 , 80%=0.80 , 70%=0.70

According to the question

x ounces of 30% alcohol solution + 40 ounces of 80% alcohol solution = (40+x)ounces of 70% alcohol solution.

x*(0.30)+40(0.80)=(40+x)*0.70

0.30x+32=40*0.70+0.70x

0.30x+32=28+0.70x

Rearranging the terms we get

0.70x-0.30x=32-28

0.40x=4

x=4/0.40

x=10

Therefore , 10 ounces of 30% alcohol solution must be mixed with 40 ounces of an 80% alcohol solution to obtain a 70% alcohol solution.

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Answer:

$30.80

Step-by-step explanation:

v = the price of each video game = 2.6

d = the price of each DVD = 3.8

x = the total amount Josh spent

6v + 4d = x

Substitute the values for v and d into the equation.

6 (2.6) + 4 (3.8) = x

15.6 + 15.2 = 30.8

Josh spent $30.80 on video game and DVD rentals in the past month.

Answer:

See explanation below

Step-by-step explanation:

A rational number is one that can be expressed as p/q where p and q are integers. An irrational number, of course, is just the opposite

Rational numbers example: 1/2, 5/6 2, 20/3, - 5/6 0, etc

Irrational numbers example:  π, √2 , √3 etc

Basically the square root of a prime number is irrational
Thus √2, √7, √13 are all irrational numbers. They cannot be represented as a ratio of an integer to another integer

However, not all square roots are irrational number.

If the number is a perfect square then its square root will be a rational number

For example √36 is 6 which is  a rational number (6/1)

√1 is 1 which is also a rational number

So Jennifer is incorrect in stating that the square root of any number is irrational

The value of x is 41 . Option B

It is important to note that angles on a straight line are known to be supplementary.

Supplementary angles are defined as angles that sum up to 180 degrees.

From the information given, we have that;

Since angles on a straight line sum up to 180 degrees, we have that;

m∠PQS + m∠RQS = 180°

Substitute the values into the equation

3x - 3 + x + 19 = 180°

collect like terms

4x = 180 - 16

4x = 164

Make 'x' the subject of formula

x = 164/4

x = 41

Thus, the value of x is 41 . Option B

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Solution of the equation a x ² + b x + c = 0 for b is b = ( - c - a x ² ) / x

Given,

the polynomial to be solved

a x ² + b x + c = 0

Solving the equation for b implies that we get the value of b from the above given polynomial

We can solve the given polynomial a x ² + b x + c = 0 by rearranging the terms of the polynomial and taking the LHS as b and the RHS as a term consisting of a, c and x

a x ² + b x + c = 0

=> b x = - c - a x ²

=> b = ( - c - a x ² ) / x

This gives us the required answer. It matches with option G among the given multiple choices.

Therefore, we get the solution of the equation a x ² + b x + c = 0 for b as b = ( - c - a x ² ) / x

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From the diagram shown, the algebraic expression representing the perimeter of the shape is 12x - 10

This is determined by substituting the values into the formula for perimeter.

The formula for determining the perimeter of an isosceles trapezoid is expressed as;

Perimeter = a + b + c + d

Note that none of the sides of an isosceles trapezoid are equal

Where;

Now, let's substitute the values into the formula for perimeter of an isosceles trapezoid

Perimeter = x + (2x + 5) + ( 3x + 2) + (6x - 17)

Now, expand the bracket

Perimeter = x + 2x + 5 + 3x + 2 + 6x - 17

collect like terms

We have;

Perimeter = x + 2x + 3x + 6x + 5 + 2 - 17

Add like terms

Perimeter = 12x + 7 - 17

Perimeter = 12x - 10

Thus, the algebraic expression representing the perimeter of the shape is 12x - 10

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The required solution of the following are,
(a) All values at which / has a local maximum: -2 and 4
(b) All local maximum values of  3 and 2

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
looking over the curve there are two maxima
first at (-2,3) and the second is at (4, 2)
So the local maximum is at x = -2 , 4
And maximum is y = 3 ,2

Thus, the required solution of the following are,
(a) All values at which / has a local maximum: -2 and 4
(b) All local maximum values of  3 and 2.

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The dimensions of the shape allow us to find the length of PR to be 19.8 units.

The shape that is given is an equilateral triangle. This allows us to know that all the sides of the shape are equal.

This means that PR and QR are the same:

PR = QR

Equate both formulas as:

2n + 9 = 7n - 18

You can then solve for the value of n:

7n - 2n = 18 + 9

5n = 27

n = 5.4

The length of PR is therefore:

= 2n + 9

= 2 (5.4) + 9

= 19.8 units

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Answer:

yes just make sure to pay close attention

Step-by-step explanation:

The distance d (in miles) you travel in a car is given by d=55t where t is the time (in hours)

The distance d (in miles) you travel in a car is given by d=20g where g is the number of gallons of gasoline the car uses.

1. Write an equation that relates g & t.

20g=55t20g=55t

2. Solving for g.

20g=55t20g=55t

=> g=\frac{55t}{20}g=

20

55t

Hence, g= 2.75tg=2.75t

3. You travel for six hours. How many gallons of gasoline does the car use

We will use this equation g= 2.75tg=2.75t to solve the question.

Putting t = 6

g= 2.75(6)g=2.75(6)

g = 16.5 gallons

4. How far do you travel?

We can use equation d=55td=55t here

d=55\times6=330d=55×6=330 miles

Hey there!

a^2 * b^2 * c^2

= 2^2 * 3^2 * 4^2

= 2 * 2 * 3 * 3 * 4 * 4

= 4 * 9 * 16

= 36 * 16

= 576

Therefore, your answer should be:

576

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:  the answer would be 54

Step-by-step explanation:

4 x 4 = 16

8 x 4 = 32

16 + 32 + 6 = 54

Answer: The equivalent decimal is 0.5

Step-by-step explanation: Ok, so 4/8 is a equivalent fraction to 1/2.

0.5 is the decimal form for one half.

I am also 100% sure I am right, so you have no worries :D

Answer: the answer is 0.5

Step-by-step explanation:

Answer: 32

Step-by-step explanation: If the second piece is twice the size of tee smaller one then you’d want to multiply 16 by 2 or add 16+16 which would give you 32

Answer:

48

Step-by-step explanation:

16x2=32     32+16=48

Answer:ur mom

Step-by-step explanation:

Reasoning At a butcher shop, Hilda bought beef and pork. She left with     18 8/25 pounds of meat. Express the number of pounds of pork she bought using a decimal.

Hilda bought 18.32 pounds of pork.

Hilda purchased 18.32 pounds of pork, which is a terminating decimal, according to the conversion of an improper fraction to a decimal.

She left behind, in pounds, the following amount of meat:

[tex]18 \frac{8}{25}[/tex]

Now we have to convert the improper fraction to decimal, which is made adding the decimal fraction to the integer part, that is:

[tex]18 \frac{8}{25} =18+\frac{8}{25} = 18+0.32 = 18.32[/tex]

Therefore, the number of pounds of pork Hilda bought using a decimal number is 18.32.

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According to the given statement The single form of the given logarithm log 5-2 log x is log₁₀(5/x²).

The features of log are utilized to expand (or compress) a single logarithm across numerous logarithms. A logarithm is simply another way of expressing exponents. Thus, logarithmic features are derived from exponentiation qualities.

log 5-2 log x

This can be written as:

log₁₀ (5) - 2log₁₀(x)

Apply log rule (b logₐ (c) = logₐ(cᵇ)):

2log₁₀(x) = log₁₀(x²)

= log₁₀(5) - log₁₀(x²)

Applying log rule (logₐ (b) - logₐ (c) = logₐ(c/b)):

log₁₀(5) - log₁₀(x²) = log₁₀(5/x²)

The single form of the given logarithm log 5-2 log x is log₁₀(5/x²).

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