Simplify $\sqrt5-\sqrt{20}+\sqrt{45}$.

Answer:

Step-by-step explanation:

You graph it

Answer:

sales tax rate = 4%

Step-by-step explanation:

In this problem formula to express one term in percentage is used

To express x as percentage of y is given by (x/y*100) %

______________________________________________

Cost of item = $480

sales tax = $19.20

we have to find sales tax rate.

sales tax rate is percentage of cost price which will levied as tax .

thus, we have to find sales tax as percentage of cost price.

using the percentage cost as given above

sales tax as percentage = sales tax/ cost of item *100

sales tax as percentage = 19.20/480 *100 = 4%

Thus, sales tax rate is 4%.

It means that if cost price of item is $100 then $4 will be the sales tax for the item.

Answer:

a.) k = 10

b.) x = 20

Step-by-step explanation:

Step 1: Plug in variables and calculate for k

2 = k/5

10 = k

Step 2: Plug in variables and calculate for x

0.5 = 10/x

0.5x = 10

x = 20

Answer:

[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = \sqrt[3]{x^2}[/tex]

Step-by-step explanation:

Given

[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}}[/tex]

Required

Rewrite in simplest radical form

Using laws of indices:

[tex]a^m/a^n = a^{m-n}[/tex]

This implies that

[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = x^{\frac{5}{6} - \frac{1}{6}}[/tex]

Solve Exponents

[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = x^{\frac{5 - 1}{6} }[/tex]

[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = x^{\frac{4}{6} }[/tex]

Simplify exponent to lowest fraction

[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = x^{\frac{2}{3} }[/tex]

Using laws of indices:

[tex]a^{\frac{m}{n}} = \sqrt[n]{a^m}[/tex]

This implies that

[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = \sqrt[3]{x^2}[/tex]

This is as far as the expression can be simplified

Answer:

D

Step-by-step explanation:

12x + 6y = 24

Subtract 6y on both sides.

12x = 24 - 6y

Divide 12 into both sides.

x = 24/12 - 6/12y

x = 2 - 1/2y

The solution for x in terms of y is x = 2 - (1/2)y

We have,

To solve the equation 12x + 6y = 24 for x, we can isolate x on one side of the equation.

Starting with 12x + 6y = 24, we can subtract 6y from both sides:

12x + 6y - 6y = 24 - 6y

This simplifies to:

12x = 24 - 6y

Next, we divide both sides of the equation by 12 to solve for x:

(12x)/12 = (24 - 6y)/12

This gives us:

x = (24 - 6y)/12

x = 24/12 - 6y/12

x = 2 - (1/2)y

Therefore,

The solution for x in terms of y is x = 2 - (1/2)y

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Answer:

15/3 = v/7 can be a true proportion.

Step-by-step explanation:

v is a variable, which means that technically any number can be put inside.

In this case, however, when you are solving for v, the numerator must be proportional to the denominator.

In the case of the question, the questioner multiplied ~2.33 to the denominator. Do the same to the numerator:

15 x 2.33 = ~34.95

If the variable v is ~34.95, then it is a true proportion.

Answer:

f(x) = √7x

g(x) = 1/x -8

To find the domain of f º g we must first find f o g(x)

To find f o g(x) wherever you see x in f(x) replace it by g(x)

That's

f o g = √7(1/x-8)

= √7 / √x - 8

To find the domain equate the denominator to zero

That's

√x - 8 = 0

Square both sides

(√x - 8)² = 0²

x - 8 = 0

x = 8

The domain of f o g is x E R except 8

Hope this helps

Answer:

(4,8)

Step-by-step explanation:

6x-4y=-8

11x+4y=76  eliminate y

6x+11y=-8+76

17 x=68

x=68/17=4

substitute x :

6x-4y=-8

6(4)-4y=-8

-4y=-8-24

y=-32/-4

y=8

Answer:

C

Step-by-step explanation:

Standard form is f(x) = ax² + bx + c.

f(x) = -(x - 4)² + 2

= -(x² - 8x + 16) + 2

= -x² + 8x - 16 + 2

= -x² + 8x - 14

Hi,

the correct answer is C

This is the correct equation: f(x) = -x^2 + 8x - 14

XD

P.S. (on the image I sent the answer was B but on your test the correct one is C. The equation is still the same.)

Answer:

16 tricycles

Step-by-step explanation:

First, let's make a chart:

Bicycles- x bicycles and 2x wheels

tricycles- y tricycles and 3x wheels

Four wheeled vehicles- 2 bikes (given), 8 wheels

Since the total amout of bikes is 40, that means that x+y+8=40

You can simplify that to x+y=38.

now, we're going to form another equations dealing with the number of wheels.

Since we know that four wheeled vehicles already have only 8 wheels, then that means 2x+3y=92

Solve the system of equations:

2x+3y=92

x+y=38

y will be 16

Step-by-step explanation:

Answer:

No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent.

Step-by-step explanation:

Data provided in the question

m∠ABC = 45°

m∠ECD = 45°

Based on the above information, the ΔBAC ~ ΔEDC could be determined by seeing the given options

As we can see that from the last option the AA could not be postulated as it creates a reflection over the line plus the ∠ABC and ∠DEC is not congruent

Therefore the last option is correct

No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent. Therefore the option D is correct.

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

Data given in the question

m∠ABC = 45°

m∠ECD = 45°

Based on the above information, the ΔBAC ~ ΔEDC could be determined by seeing the given options one by one.

As we can conclude that from the last option the AA could not be postulated as it creates a reflection over the line plus the ∠ABC and ∠DEC is not congruent.

No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent.

Therefore the option D is correct.

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Answer:

d. (x+2)/(-x²-5)

Step-by-step explanation

 ƒ(x) = x + 2/(2x²)

The function is undefined when x =  0.

b. ƒ(x) = (2x + 4)/(3x + 3)

The function is undefined when 3x + 3 = 0, i.e., when x = -1.

c. ƒ(x) = (6x - 5)/(x² - 7)

The function is undefined when x² - 7 = 0, i.e., when x = √7.

d. ƒ(x) = (x+2)/(-x²-5) = -(x+2)/(x² + 5)

The function would be undefined if x² + 5 = 0, i.e., if x² = -5. However, the square of a real number cannot be negative.

This function has no excluded values.

Answer:

first answer is correct

Step-by-step explanation:

hello

as we can write

[tex]x^2-1=(x-1)(x+1)\\[/tex]

the least common denominator is

x(x-1)(x+1)

hope this helps

Answer:

x + 1

x - 1

x

Step-by-step explanation:

The denominators are as follows.

(x - 1)

x^2 - 1

x

=====

The second denominator is actually made of two factors.

x^2 - 1 =(x + 1)(x - 1)

So the least common denominator is

x + 1

x - 1

x

You do not count the x - 1 twice.

Answer:

V = 251.3 cm³

Step-by-step explanation:

Diameter  8 cm

Radius = 4 cm

Height = 5 cm

Volume of Cat Food contained by the tin can = [tex]\pi r^2 h[/tex]

Where r = 4 cm, h = 5 cm

V = (3.14)(4)²(5)

V = (3.14)(16)(5)

V = 251.3 cm³

Answer:

251.3 cm³

Step-by-step explanation:

The diameter is 8 cm

So the radius is 8/2 = 4 cm

The height is 5 cm

Volume of tin can:

[tex]\pi r^2 h[/tex]

r = 4 & h = 5

[tex]V =\pi (4)^2 (5)\\V = \pi (16)(5)\\V = 251.3[/tex]

Answer:

Hi ,

Cube of a number :

_______________

For a given number x we define cube

of x = x × x × x , denoted by x^3.

A given Natural number is a perfect

Cube if it can be expressed as the

product of triplets of equal factors.

Now ,

Write given number as product of

prime .

8788 = 2 × 4394

= 2 × 2 × 2197

= 2 × 2 × 13 × 169

= 2 × 2 × 13 × 13 × 13

= 2 × 2 × ( 13 × 13 × 13 )

Here we have only triplet of equal

factors i.e 13

To make 8788 into perfect Cube we

have multiply with 2.

Now ,

2 × 8788 = ( 2 × 2 × 2 ) × ( 13 × 13 × 13 )

17576 = ( 2 × 13 )^3 = ( 26 )^3 perfect

Cube

I hope this will useful to you.

Answer [tex]67\leq t\leq 87=15[/tex]

Step-by-step explanation: It's asking for the range so you have to subtract the the lowest temp with the highest temp. The highest temp is 82 and the lowest 67. 82-67 is 15 but they asked you to write it inequality so [tex]67\leq t \leq 87 = 15[/tex]

Answer:

x = ± 2[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Given

x² = 24 ( take the square root of both sides )

x = ± [tex]\sqrt{24}[/tex] = ± [tex]\sqrt{4(6)}[/tex] = ± [tex]\sqrt{4}[/tex] × [tex]\sqrt{6}[/tex] = ± 2[tex]\sqrt{6}[/tex]

Answer:

10

Step-by-step explanation:

3/5 is 0.6 and 10 time 0.6 is 6.

hope this helps

Answer:

D.

Step-by-step explanation:

" Sum" means "+".

The sum of the number of dogs and the 6 cats.

d + 6

Answer:

Option D

Step-by-step explanation:

Sum is Adding (+)

So,

The expression becomes

=> d+6

Answer:

20 chickens

Step-by-step explanation:

2/8= 5/x

2 times 2.5 is 5, 8 times 2.5 is 20 the ratio is true if we write this:

2/8=5/20

Therefore, with 5 roosters, there are 20 chickens.

Answer:

B 267.9

Step-by-step explanation:

the formula is again the same, so you plug 4 in (because the radius is half the diameter) and solve to get around 267.9

Answer:

B. SAS

Step-by-step explanation:

3/1= 2.25/075

The 2 sides are congruent and the angle between them is common

B. SAS is the answer

Answer:

A

Step-by-step explanation:

AA stands for angle angle.

For the two triangles given being similar by AA, they should have two equal angles. Of course, once two angles are equal the third one will be equal as well, once the angles of a triangle always add up to 180º.

Therefore, the angle ∠NMO and ∠QPR should be equal.

Answer:

19 units

Step-by-step explanation:

In a parallelogram, opposite sides are congruent. So, we can set up a formula that looks like this: 3x - 8 = x + 10. When you solve for x, you'll get 9. 9 + 10 = 19 units

The length of the side TU of the parallelogram is 19 units long.

A parallelogram is a quadrilateral with opposite pair of sides parallel and equal.

In the question, we are given a parallelogram STUV.

The length of the side TU is given as x + 10.

The length of the side VS is given as 3x - 8.

As the sides, TU and VS are opposite to each other, and the quadrilateral STUV is a parallelogram, so they are equal.

∴ TU = SV

or, x + 10 = 3x - 8

or, x + 10 - 3x = 3x - 8 - 3x (Subtracting 3x from both the sides)

or, -2x + 10 = -8 (Simplifying)

or, -2x + 10 - 10 = -8 - 10 (Subtracting 10 from both sides)

or, -2x = -18 (Simplifying)

or, -2x/(-2) = -18/(-2) (Dividing both sides by -2)

or, x = 9 (Simplifying).

Now, TU = x + 10 = 9 + 10 = 19.

∴ The length of the side TU of the parallelogram is 19 units long.

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Answer:

D. 6\sqrt{5}-4\sqrt{7}

Step-by-step explanation:

[tex]3\sqrt{5}-2\sqrt{7}+\sqrt{45}-\sqrt{28} \\3\sqrt{5}-2\sqrt{7}+\sqrt{9*5}-\sqrt{4*7}\\3\sqrt{5}-2\sqrt{7} +3\sqrt{5}-2\sqrt{7}\\ 6\sqrt{5}-4\sqrt{7}[/tex]

Answer:

Option D

Step-by-step explanation:

A third of a shipment of books is 28 pounds. Assuming that 'f' will be the total weight of the entire shipment, we would divide 'f' by 3 to get 28.

The answer should be D.

Answer:

5

hope your like this a swer

stay at home stay safe

bye bye

pls mark me as BRAINLIEST

Answer:

5

Step-by-step explanation:

If you have 2 of something and then you get 3 more of the same thing, you can use your fingers to count how much you have in total now, which is 5.

Answer:

5.83 units

Step-by-step explanation:

Given is a right angled triangle.

Length of base = 2 - (-3) = 2+ 3 = 5 units

Height = 4 - 1 = 3 units

By Pythagorean theorem:

[tex]RS = \sqrt{ {5}^{2} + {3}^{2} } \\ = \sqrt{25 + 9} \\ = \sqrt{34} \\ = 5.83095189 \\ = 5.83\: units[/tex]

Answer:

y-5=5/4(x-1)

Step-by-step explanation:

the slope is 1.25

m=y2-y1/x2-x1=10-5/5-1=5/4=1.25

y-5=(5)/(4)(x-1)=

y=(5)/(4)x+(15)/(4) this one is linear

it is a linear function and the