Answer please? Solve math

Answer Please? Solve Math

Answers

Answer 1

Answer:

(a)

Step-by-step explanation:

To rationalise the fraction multiply the numerator/denominator by the conjugate of the denominator.

The conjugate of [tex]\sqrt{3}[/tex] + [tex]\sqrt{x}[/tex] is [tex]\sqrt{3}[/tex] - [tex]\sqrt{x}[/tex]

Hence

[tex]\frac{\sqrt{9}(\sqrt{3}-\sqrt{x} )  }{(\sqrt{3}+\sqrt{x} )(\sqrt{3}-\sqrt{x} )  }[/tex]

= [tex]\frac{3(\sqrt{3}-\sqrt{x}  }{3-x}[/tex]

= [tex]\frac{3\sqrt{3}-3\sqrt{x}  }{3-x}[/tex] → (a)


Related Questions

What is the volume of the square pyramid? Round to the nearest tenth.

Answers

Answer:

[tex]V=718.7\ cm^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the square pyramid is equal to

[tex]V=\frac{1}{3}b^{2}h[/tex]

we have

[tex]b=14\ cm[/tex] ----> the length of the base of the square pyramid

[tex]h=11\ cm[/tex] ---> the height of the pyramid

substitute the values in the formula

[tex]V=\frac{1}{3}(14)^{2}(11)[/tex]

[tex]V=718.7\ cm^{3}[/tex]

Answer:

718.7cm^3

Step-by-step explanation:


Rewrite the radical expression as an expression with rational exponents.

5 square root of x to the 7th power

Answers

Hello!

5 √ x^7

(^7) means smaller 7 exponent

Hope I helped!

~ Destiny ^_^

Final answer:

To rewrite the radical expression 5 square root of x to the 7th power with rational exponents, express it as 5x7/2.

Explanation:

To rewrite the radical expression as an expression with rational exponents, we can use the property that the square root is equivalent to raising to the power of 1/2. Thus, 5√x7 = 5x7/2.

PLEASE HELP
which function rule would help you find the values in the table
p 2, 4, 6, 8
q -14, -28, -42, -56

A. q = -7p
B. q = p - 7
C. q = - 14p
D. q = p - 14

Answers

ANSWER

[tex]q = - 7p[/tex]

EXPLANATION

The constant difference of p values is

4-2=2

The constant difference of the 'q' values is

-28--14=-14

The function is of the form:

[tex]q = m(p - p_1) + q_1[/tex]

where

[tex]m = \frac{change \: in \:q }{change \: in \: p} [/tex]

[tex]m = \frac{ - 14}{2} = - 7[/tex]

We plug in the values to get;

[tex]q = - 7(p - 2) + - 14[/tex]

Expand:

[tex]q = - 7p + 14+ - 14[/tex]

Simplify:

[tex]q = - 7p[/tex]

the graphs below have the same shape. what is the equation of the red graph?

Answers

ANSWER

D.

[tex]g(x) = 1 - {x}^{2} [/tex]

EXPLANATION

The equation of the blue graph is

[tex]f(x) = 4 - {x}^{2} [/tex]

This graph has been shifted down 3 units to obtain the red graph.

The red graph now has a y-intercept of 1.

The equation of the red graph is

[tex]g(x) = 1 - {x}^{2} [/tex]

The correct choice is D.

Answer:

it is D. hope this helps :)

simplify square root. of 228- square foot of 50​

Answers

Answer:

[tex]\large\boxed{\sqrt{228}-\sqrt{50}=2\sqrt{57}-5\sqrt2}[/tex]

Step-by-step explanation:

[tex]\sqrt{228}-\sqrt{50}=\sqrt{4\cdot57}-\sqrt{25\cdot2}\\\\\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=\sqrt4\cdot\sqrt{57}-\sqrt{25}\cdot\sqrt2\\\\=2\sqrt{57}-5\sqrt2[/tex]

The number of license plates on a car is measured in the __. A.ones B.thousands C.hundreds D.tens

Answers

Answer:

A.ones

Step-by-step explanation:

Depending on the state and country, cars can have 1 or 2 license plates on them.  The one mandatory is in the back.  In some places, the cars also have a license plate in the front of the car.

So, since the answer is either 1 or 2, the range for that answer is under 10... so it's a single digit... making it a measure in ones.

The number of tires on a car is also measured in ones.  

What is 5 1/2 as a Demical

Answers

Answer: 5.5

Step-by-step explanation: Converting This To A Decimal Would Be 5.5

to make it into a decimal you would convert the fraction into a decimal which would be .5 then you would take the 5 and make it 5.5

For this case we have the following mixed number:

[tex]5 \frac {1} {2}[/tex]

We move to fraction, then we have to:

[tex]5 \frac {1} {2} = \frac {5 * 2 + 1 * 1} {2} = \frac {10 + 1} {2} = \frac {11} {2}[/tex]

Dividing we have to:

[tex]\frac {11} {2} = 5.5[/tex]

Answer:

[tex]5 \frac {1} {2} = 5.5[/tex]

Which of the following statements best represents the relationship between a relation and function ?

Answers

Answer:

First Option

Step-by-step explanation:

A relation is an association or correspondence between two sets, where each element of the Domain Set corresponds to at least one element of the Range set.

The function definition says that:

A relation is a function if and only if, for each input value x, there is only one output value y. In other words, a relation is a function if each value of the Domain set has only one value associated with the Range set.

Therefore, not all relationships are functions, but all functions are relations.

The correct option is the first

x 0 4 9 10 y 3 2 7 -1 Graph the relation and its inverse. Use open circles to graph the points of the inverse.

Answers

Answer:

Observe the attached image

Step-by-step explanation:

If we have a function f(x), the inverse of the function denoted [tex]f ^{- 1} (x)[/tex] will have as domain the range of f(x) and its rank will be the domain of the function f(x) this means that if f(x) is given by the following ordered pairs:

x: 0, 4, 9, 10; and: 3, 2, 7, -1

(0, 3) (4, 2) (9, 7) (10, -1)

Then [tex]f ^{- 1}(x)[/tex] will have the following ordered pairs

x: 3, 2, 7, -1 and: 0, 4, 9, 10

(3, 0) (2, 4) (7, 9) (-1, 10)

Observe the attached image

The blue dots are the ordered pairs of the relationship

The red open dots are the ordered pairs of the inverse of the relationship

Please explain your answer as well, THANKS!!!

Answers

Answer:

11,232,000

Step-by-step explanation:

The key to this problem is knowing "repetition is NOT ALLOWED".

For the first 3 letters slot:

For the 1st slot, we can pick any of the 26 alphabets

For the 2nd slot, we can pick any of the 25 remaining alphabets (since 1 is already taken)

For the 3rd slot, we can pick any of the 24 remaining letters (since 2 is already taken)

For the three digits slot:

For the 1st slot, we can pick any one of the 10 digits

For the 2nd slot, we can pick any one of the 9 digits left, since 1 is taken already

For the 3rd slot, we can pick any one of the 8 digits left, since 2 is already taken

The number of license plates, thus, would be all of these multiplied together:

26 * 25 * 24 * 10 * 9 * 8 = 11,232,000

Which of the following best describes the relationship between the data displayed in the scatter plot below?
A Positive linear association
B Negative linear association
C no association
D Quadratic association

Answers

Answer: No association

Subtract 5x−2 ​​from​ −3x+4 . What is the answer? −8x+6 −8x+2 8x−6 2x + 2

Answers

Answer:

-8x + 6

Step-by-step explanation:

Subtract "5x-2" from "-3x + 4". Set the equation.

(-3x + 4) - (5x - 2) = Answer (A)

First, distribute -1 to all terms within the second parenthesis.

-3x + 4 - 5x + 2 = A

A = -5x - 3x + 4 + 2

Simplify. Combine like terms (terms with the same amount of variables).

A = (-5x - 3x) + (4 + 2)

A = -8x + 6

-8x + 6 is your answer, or the first answer choice.

~

Can y’all help me lol (picture)

Answers

Answer:

2. 13/100.

3. 4/25.

4. 19/100.

5. 3/5.

Step-by-step explanation:

These are all of the correct answers to the questions.

Hope this helps!!!

Kyle.

Find the measure of the missing angle (solve for x)

Answers

IN the given figure.

angle A + angle B + angle C = 180°

( angle sum property of Δ)

58°+47°+ x = 180°

105°+ x =180°

x = 180° - 105°

x = 75°

thus correct option is (d)

hope this will help u!!

What is the slope of the line (7,6) and (3,2)

Answers

Answer:

1

Step-by-step explanation:

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (7, 6) and (x₂, y₂ ) = (3, 2)

m = [tex]\frac{2-6}{3-7}[/tex] = [tex]\frac{-4}{-4}[/tex] = 1

tina baked 955 cookies for a big super bowl party she had to put the cookies on 8 different tables in the party room if she spit the cookies evenly how many cookies did tina put on each tables how many cookies were left over?​

Answers

Answer:

119 cookies on each plate and 3 cookies leftover

Step-by-step explanation:

Cookies on each plate:

955 divided by 8 is 119.375 but round it to 119.

Cookies leftover:

Do 119x8 and you will get 952. Then, minus 952 from 955 and your answer is 3 cookies.

i really hope this helps! :)

4,11,6,9,23,34,6,9

What is the median for this set of numbers
A. 6
B.10
C.14
D.16

Answers

Answer:

The Median is 9

Step-by-step explanation:

To calculate the median of a data set the first step is to sort the data from least to greatest

4,11,6,9,23,34,6,9

4, 6, 6, 9, 9, 11, 23, 34

The second step is to locate the central value. If the total amount of data is an even number then locate the two central data and the median will be the average of both. In this case we have 8 data. Then the central values will be the data number 4 and the data number 5

4, 6, 6,   [9, 9],   11, 23, 34

[tex]Median = \frac{9+9}{2}=9[/tex]

two lenghts are in the ratio 7:8. if the first lenght is 273m, what amount is the second lenght​

Answers

Answer:

312 m

Step-by-step explanation:

Write and solve an equation of ratios:

 7       273 m

----- = ------------

 8            x

Then 7x = 8(273 m) = 2184 m

and x = 2184 m / 7 = 312 m

Final answer:

The second length in the given ratio of 7:8, when the first length is 273m, is calculated to be 312m.

Explanation:

The given question is about ratios, particularly the ratio between two lengths, where one of them is given as 273 meters and the ratio is 7:8. The ratio tells us that for every 7 units of the first length, there are 8 units of the second length. To calculate the second length, first find the value of one ratio unit by dividing the given length by its ratio (273m / 7), then multiply your result by 8.

Steps:
1. 273m / 7 = 39m (This is one ratio unit)
2. 39m * 8 = 312m (This is the second length).

Therefore, the length of the second line is 312 m.

Learn more about Ratios here:

https://brainly.com/question/32531170

#SPJ3

6) Solve for x. 2/3 (x + 7) = 10

A)22

B)8

C)- 1 /3

D)41/ 3

Answers

For this case we must find the value of the variable "x" of the following equation:

[tex]\frac {2} {3} (x + 7) = 10[/tex]

We multiply by 3 on both sides of the equation:

[tex]2 (x + 7) = 30[/tex]

We divide between 2 on both sides of the equation:

[tex](x + 7) = 15\\x + 7 = 15[/tex]

We subtract 7 on both sides of the equation:

[tex]x = 8[/tex]

Answer:

Option B

What is the measure of Z if W equals to 116*

Answers

Answer:

Z is also 116*

Step-by-step explanation:

The reason for them being the same is because of something called alternating angles. This process allows you to find two angle measurements by just finding one.

please explain this to me. so i came across this act question. the book explains the answer but i dont understand (answer is B)​

Answers

we know line P is y = 3x.

parallel lines have the same slope but different y-intercept, where the graph touches the y-axis.  So then parallel lines is the same equation but shifted some either upwards or downwards or sideways.

so then line Q must be the same as P, y = 3x + "some change", well, we notice that the perpendicular distance from each other is 3 units, so then, the y-intercept of P is at (0, 0), thus the y-intercept of Q must be 3 units downwards, at (0, -3), since Q is shifted downwards, thus Q is y = 3x - 3.

Wes lives in Colorado, which has a state income tax
rate of 4.63%. He earns $895 weekly. How much
state income tax is withheld from each of his
paychecks?
$179.57
$44.89
$82.88
$41.44
$2,154.80​

Answers

The answer is $41.44.

You take $895× 4.63%= $41.4385.

Which equation yields the solutions x=−3 and x=−4?
a)2x2+14x+24=0
b)x2−6x+5=0
c)3x2+30x+48=0
d)−3x2−12x+15=0

Answers

Answer:

a) 2x² + 14x + 24 = 0

Step-by-step explanation:

a)

2x² + 14x + 24 = 0

2(x + 4) (x + 3) = 0

x = -4 or x = -3

b)

x² - 6x + 5 = 0

(x - 1)(x - 5) = 0

x = 1 or x = 5

c)

3x² + 30x + 48 = 0

3 (x + 8) (x + 2) = 0

x = -8 or x = -2

d)

-3x² - 12x + 15 = 0

-3 (x + 5) (x - 1) = 0

x = -5 or x = 1

Final answer:

The equation which yields the solutions x=-3 and x=-4 is a. 2x² + 14x + 24 = 0.

Explanation:

To find which equation yields the solutions x=-3 and x=-4, we need to determine which equation, when factored, gives these roots. If an equation has roots x = -3 and x = -4, then it can be written in factorized form as:

(x + 3)(x + 4) = 0

Expanding this, we get:

x² + 4x + 3x + 12 = 0

x² + 7x + 12 = 0

Looking at the given options, we notice that none of them exactly match this equation. However, if we multiply our equation by 2, we get:

2x² + 14x + 24 = 0

This matches option (a). Therefore, the correct equation is:

2x² + 14x + 24 = 0

Select the simplification that accurately explains the following statement.

Answers

Answer:

D

Step-by-step explanation:

1. Use property of exponents:

[tex](a^b)^c=a^b\cdot ... \cdot a^b\ [\text{ take }c \text{ times } a^b][/tex]

Hence

[tex](7^{\frac{1}{3}})^3=7^{\frac{1}{3}}\cdot 7^{\frac{1}{3}}\cdot 7^{\frac{1}{3}}[/tex]

2. Use multiplication property of exponents:

[tex]a^b\cdot a^c=a^{b+c}[/tex]

Thus,

[tex]7^{\frac{1}{3}}\cdot 7^{\frac{1}{3}}\cdot 7^{\frac{1}{3}}=7^{\frac{1}{3}+\frac{1}{3}+\frac{1}{3}}[/tex]

3. Since

[tex]\frac{1}{3}+\frac{1}{3}+\frac{1}{3}=\frac{3}{3}=1,[/tex]

we have that

[tex]7^{\frac{1}{3}+\frac{1}{3}+\frac{1}{3}}=7^1=7[/tex]

A worker at the zoo calculates the amount of fish, in pounds, needed in the weekly diet of an eagle and a bear.

The eagle eats 6 pounds of food each week, and 60% of that weight must be fish.
The bear eats 105 pounds of food each week, and 25% of that weight must be fish.
The zoo increases the amount of food that the bear eats each week to 115 pounds. What is the percent increase in the amount of food that the bear eats each week? Round your answer to the nearest tenth of a percent.

Answers

____________________________________________________

Answer:

Your answer would be a 9.5% increase.

____________________________________________________

Step-by-step explanation:

In order to find the answer to your question, we would need to get the amount it's changing by, divide it by it's original, and multiply it by 100.

Your equation should look like this:

[tex]Change/Original * 100[/tex]

Important information in the question:

105 pounds

115 pounds (increase in amount of food that bear eats)

With the information above,we can plug those numbers into our equation.

Since we need to find the change, we would subtract 115 and 105 to get 10. 10 is our change in this scenario.

Our original started at 105, so that'll be our original in our equation.

When you plug in the information, your equation should look like this:

[tex]10/105*100[/tex]

Now you solve:

[tex]10/105*100\\\\0.0952 * 100\\\\=9.523[/tex]

We have to round to the nearest tenth, and the tenth place is the number right after the decimal place.

Since 2 is not a big enough number to round the 5, we would keep the number as 5. Therefore, your answer would be 9.5

Your FINAL answer would be 9.5%

____________________________________________________

Find the coefficient of x in 4(8-2x).

Answers

Answer:

The coefficient of x is -8

Step-by-step explanation:

4 (8 - 2x)

Distributive property

= 32 - 8x

So the coefficient of x is -8

What is the mean of the data displayed in the line plot below?

A. 2

B. 4

C. 5

D. 6

Answers

The mean is the average.

Total the numbers and divide by the quantity of numbers.

2 +2 + 3 + 3 +4 +4 +4 +5 +5 +5 +5 + 6 = 48

48 / 12 = 4

The answer is B.4

Answer: The answer is B (or 4)

what is the negative reciprocal of 3​

Answers

1÷3=13.

Step-by-step explanation:

To find the reciprocal of any number simply take 1 and divide it by that number, so the reciprocal of 3 is 1÷3=1/3. We can check that this is the multiplicative inverse of 3 by multiplying those two numbers together and seeing if we get 1: so 3×1/3=3×1/3=1. Where it says =3 you put a line through that 3.

Simplify the expression 7√5 - 3√80

A) -5√5
B) -4√75
C) -5
D) 4√-75

Answers

Answer:

A.) -5 √5

Step-by-step explanation:

if you solve the problem above, and solve each answer choice, you can ind a match

Hope this helped! ^_^

The expression 7√5 - 3√80 is simplified as negative 5√5. Then the correct option is A.

What is simplification?

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The expression is given below.

⇒ 7√5 - 3√80

Then the expression is simplified as

⇒ 7√5 - 3√(16 x 5)

⇒ 7√5 - 3 x 4√5

⇒ 7√5 - 12√5

⇒ -5√5

Then the correct option is A.

More about the simplification link is given below.

https://brainly.com/question/12616840

#SPJ2

a circle has a radius of 9. An arc in this circle has a central angle of 120°. What is the length of the arc?

Answers

Answer:

6pi or about 18.8 units

Step-by-step explanation:

See attached file

Final answer:

To calculate the arc length of a circle with a 120° central angle and a 9-unit radius, multiply the fraction of the circle (1/3) by the circle's circumference (2πr) to find the arc length is 6π units.

Explanation:

To find the length of an arc with a central angle of 120° in a circle with a radius of 9, we use the formula for arc length. The arc length (As) is proportional to the angle of rotation, which in this case is 120° or θ = 120° ÷ 360°.

The circumference (C) of a circle is given by the formula 2πr, where r is the radius. For a full revolution (360°), the arc length is equal to the circumference. For an angle θ, the arc length is given by:

As = (θ/360°) × 2πr

Using the radius r = 9 and θ = 120°, we calculate:

As = (120°/360°) × 2π(9)

As = (1/3) × 18π

As = 6π

The arc length is 6π units, which is slightly less than 19, as π is approximately 3.14159.

Learn more about Arc Length Calculation here:

https://brainly.com/question/15248535

#SPJ3

Other Questions
which actions most likely cause the domains within a material to lose their alignment and become more randomized A rope is 66 feet long. It is cut into two pieces such that one piece is half the length of the other. What is the length of the longer piece of rope?22 feet26 feet33 feet44 feet Which of the following was a negative aspect of the Progressive Era? In 1978, Lech Walesa led a worker's strike in______? A function, F(x), is shown below. Which of these arguments is often made against the idea of conservation?-The larger environment is more important than economic gain.-Land and natural resources should be used for economic gain.-People need access to safe air, land, and drinking water.-National parks do little to preserve natural landscapes. Find the ares of a sector with the central angle of 200 and a diameter of 5.3 cm. Round to the nearest tenth what is a good question for a tutorial request form Find the perimeter of the polygon ?? if the viscosity of a magma is high, the magma is more likely to a)make dark colored rocks.b) contain trapped gasses.c) contain relatively small amounts of silica.d) lead to a non-explosive eruptions. The ratio of red cars to blue cars in a parking lot was 5:3.if there were 40 red cars, how many blue cars were there?? In cities, the area in which rainwater can seep into the ground is reduced. Water flows over roads, then the runoff is carried out to sea through drainage systems. How does the runoff from cities affect ocean systems? A. Ocean systems are damaged with the loss of sediments. B. Ocean systems are improved by receiving more water. C. Ocean systems are improved by the addition of nutrients. D. Ocean systems are damaged with more pollutants. In what formation are Mariana trench plates involved? 15. Cody and his wife are purchasing a home. The costof the home is $145,900. They will be required topay a down payment of 5% of the purchase priceand to pay closing costs of 6% of the purchaseprice. How much cash will they need for the downpayment and closing costs?$16,049$8,754$7,295$145,900$161,949 Convert 7pi/5 to degrees. Which of the following is the solution to the inequality below? Tell whether each equation represents a direct proportion. If so, identify the constant of proportionality.1. 0.4y = x2. x = 1 - 2y How many terms are in the arithmetic sequence 7, 1, 5, , 161?Hint: an = a1 + d(n 1), where a1 is the first term and d is the common difference 27 28 29 30 Compare the pace of the middle and end of the story. how is the pace different? why do you think the author chose to change the pace in different parts of the text? write three or four sentences to explain your answer. best answer gets brainliest which geometric object is defined as the set of all points in a plane that are equidistant from the two sides of a given angle