What is the following sum?

4 StartRoot 5 EndRoot + 2 StartRoot 5 EndRoot
6 StartRoot 10 EndRoot
8 StartRoot 10 EndRoot
6 StartRoot 5 EndRoot
8 StartRoot 5 EndRoot

Answer:

yes

Step-by-step explanation:

12+3=5x-3+3

15=5x

15=5(3)

15=15

The solutions for the given equation are x=−1,1,√2,−√2. Therefore, option B is the correct answer.

The given equation is x⁸-4x⁷+3x⁶+8x⁵-15x⁴+4x³+9x²-8x+2=0.

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Here, (x⁸-4x⁷+8x⁵+4x³)+3x⁶-15x⁴+9x²+2=0

(x-1)⁵(x³+x²-2x-2)=0

(x-1)⁵(x²-2)(x-1)=0

(x-1)⁵=0, (x²-2)=0 and (x-1)=0

x=±1 x=±√2 and x-1

Exact Form: x=−1,1,√2,−√2

Therefore, option B is the correct answer.

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Step 1: Write the dividend and divisor:

\(\sf\:\frac{{x^3 - 8x^2 + 6x + 41}}{{x - 4}} \\ \)

Step 2: Divide the first term of the dividend by the first term of the divisor:

\(\sf\:\frac{{x^3}}{{x}} = x^2 \\ \)

Step 3: Multiply the divisor (x - 4) by the result (x^2):

\(\sf\:(x - 4) \cdot (x^2) = x^3 - 4x^2 \\ \)

Step 4: Subtract the result from the original dividend:

\(\sf\:(x^3 - 8x^2 + 6x + 41) - (x^3 - 4x^2) = -4x^2 + 6x + 41 \\ \)

Step 5: Bring down the next term from the dividend:

\(\sf\:\frac{{-4x^2 + 6x + 41}}{{x - 4}} \\ \)

Step 6: Repeat steps 2-5 with the new dividend:

\(\sf\:\frac{{-4x^2}}{{x}} = -4x \\ \)

\(\sf\:(x - 4) \cdot (-4x) = -4x^2 + 16x \\ \)

\(\sf\:(-4x^2 + 6x + 41) - (-4x^2 + 16x) = -10x + 41 \\ \)

Step 7: Bring down the next term from the dividend:

\(\sf\:\frac{{-10x + 41}}{{x - 4}} \\ \)

Step 8: Repeat steps 2-5 with the new dividend:

\(\sf\:\frac{{-10x}}{{x}} = -10 \\ \)

\(\sf\:(x - 4) \cdot (-10) = -10x + 40 \\ \)

\(\sf\:(-10x + 41) - (-10x + 40) = 1 \\ \)

Step 9: There are no more terms to bring down, so the division is complete.

Step 10: Write the final result:

The quotient is \(\sf\:x^2 - 4x - 10\\\) and the remainder is 1.

Therefore, the division of \(\sf\:(x^3 - 8x^2 + 6x + 41) by (x - 4) \\\) is:

\(\sf\:(x^3 - 8x^2 + 6x + 41) ÷ (x - 4) \\ \) \(\sf\:= x^2 - 4x - 10 + \frac{{1}}{{x - 4}} \\ \)

Answer:

The number is 546.208 in standard form.

Step-by-step explanation:

The standard form consist in the presentation of given number in decimal format. The proceeding is described as follows:

1) Each component of the sum is simplified.

2) Results are summed to get number in standard form.

That is,

Step 1

\(5 \times 100 = 500\)

\(4 \times 10 = 40\)

\(6 \times 1 = 6\)

\(2 \times \left(\frac{1}{10} \right) = 0.2\)

\(0 \times \left(\frac{1}{100}\right) = 0.00\)

\(8 \times \left(\frac{1}{1000} \right) = 0.008\)

Step 2

\(x = 500 + 40 + 6 + 0.2 + 0.00 + 0.008\)

\(x = 546.208\)

The number is 546.208 in standard form.

The number in standard form is written as 546.208

Given :

\(5 \cdot 100+4 \cdot 10+6\cdot1+2\cdot( \frac{1}{10} )+8\cdot( \frac{1}{1000} )\)

Write it in standard form

To write it in standard form , we multiply the numbers and add it all

\(5 \cdot 100=500\\4 \cdot 10=40\\6\cdot 1=6\\2\cdot( \frac{1}{10} )=0.2\\8\cdot( \frac{1}{1000} )=0.008\)

Now we add all the decimal values

\(500+40+6+0.2+0.008= 546.208\)

The number in standard form is written as 546.208

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Answer:

$5.16

Step-by-step explanation:

3.00 times 0.72 is 2.16. Because it's a markup that means you add. 3.00 plus 2.16 is 5.16.

Answer:

                                                                                                               .

Step-by-step explanation:

Answer:

-25/3, or - 8 1/3

Step-by-step explanation:

many steps

2/3 + - (6+3x)/1 +3 (x-1)

- (6+3x)/1 *3/3* 2/3+ -(6+3x)/1 * 3/3 + 3 (x-1)

- (6+3x/1* 3/3* 2/3+ -(6+3x)*3/3 +3(x-1)*3/3

2-(6+3x)*3+3(x-1)*3/3

2+ (-1*6 - (3x)0 * 3+3 (x-1)*3/3

-1*6*2+(-6-(3x))*3+3(x-1)*3/3

3* -1 *2 + (-6-3x) *3+3 (x-1) *3 / 3

3*-1 * 2+(-6-(3x)) *3+3(x-1)*3/3

2-6*3x*3+3(x-1)*3/3

-6*3*2-18-3x*3+3(x-1)*3/3

3*-3*2-18-9x+3(x-1)*3/3

The volume of the given rectangular prism is 14/3 units³ or approximately 4 2/3 units³.

Given:

Rectangular base area = 3 1/3 units²

Height = 1 2/5 units

Convert the mixed number to improper fractions.

The rectangular base area can be written as:

= 3 + 1/3

= 3/1 + 1/3

= 10/3 units².

The height can be written as:

= 1 + 2/5

= 1/1 + 2/5

= 7/5 units.

Multiply the area of the base by the height.

Volume = Base area × Height

Volume = (10/3 units²) × (7/5 units)

Multiply the numerators and denominators separately.

Volume = (10 × 7) / (3 × 5) units³

Volume = 70 / 15 units³

Volume = 14/3 units³

Therefore, the volume of the given rectangular prism is 14/3 units³ or approximately 4 2/3 units³.

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Answer:

  (a)  $479.50

Step-by-step explanation:

You want to know how much the friend with the smaller bedroom will pay for rent if they split the $975 cost based on the square footage of each bedroom. The two bedrooms in the 1225 square foot property are 130 and 150 square feet.

Apparently, the cost of the non-bedroom area is to be split evenly. That common area is ...

  1225 ft² -(150 +130) ft² = 945 ft²

Then the proportion due from the occupant of the smaller bedroom is ...

  (945/2 +130)/1225 = 241/490 ≈ 0.49184

That fraction of the rent is ...

  0.49184 · $975 = $479.54

The nearest answer choice is $479.50.

__

Additional comment

If we were to assume the split is based only on bedroom size, then the rent paid for the 130 ft² space would be (13/28)($975) ≈ $452.68. This would be equivalent to splitting the rent for the common area in the same proportion as for the bedrooms.

We note that half the rent is $487.50, a number less than either of the last two answer choices. Those can be rejected for that reason. (The smaller bedroom is expected to pay less than half of the rent.)

Answer:

It is a right triangle.

Step-by-step explanation:

bro isnt that a scalene triangle

Answer:

5. Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

Answer: 1. A,D,E,F,H,M,N,O,R,S,T,U,W,Y

2.  B,C,G,J,K,L

3. the probability would be 7

Step-by-step explanation: i tried my best ig

Answer:

Amount off: 19% off

Sale price: $97.4925

Total cost: $103.34205

Step-by-step explanation:

Please mark as Brainliest!

Answer: LCM = 1320

Step-by-step explanation:

2 | 220, 440, 660

2 | 110, 220, 330

2 | 55, 110, 165

3 | 55, 55,165

5 | 55, 55 , 55

11 | 11, 11, 11

| 1, 1, 1

= 2 × 2 × 2 × 3 × 5 × 11

= 1320

Therefore the LCM is 1320

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The correct value of Z for the solution to true system is -2

From the question, we have the following parameters that can be used in our computation:

2x + 3y - z = 4

x - 3y + 2z = -3

3x + y - z = 5

Transform the third equation

So we have

2x + 3y - z = 4

x - 3y + 2z = -3

9x + 3y - 3z = 15

Eliminate y in the equations by subtraction

So we have

x - 3z = 7

10x - z = 12

Multiply x - 3z = 7 by 10

10x - 30z = 70

10x - z = 12

Subtract the equations

-29z = 58

So, we have

z = -2

Hence, the correct value of Z  is -2

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Answer:

y=mx+b --> y=\(-\frac{5}{4}\)x+23

Step-by-step explanation:

First, figure out the slope of Moonbeam drive. (Since parallel lines have the same slope)

    Slope = \(-\frac{5}{4}\)  (count rise over run with the points on moonbeam drive.

Then, count 7 up from (20, 0) - Community Garden.

    This point is (20, 7) - plot it on the graph

Next, plot another point 5 to the left and 4 up

    This point is (15, 11)

Take note of where the y-intercept would be if you continued this.

    At point (0, 23) so 23 is the y-intercept.

    (you can also check this by counting 7 higher than moonbeam drive's y-intercept which is 23.

Finally, plug the slope and y-intercept into the line equation however you wish. I used slope-intercept form.

y=-4/5x+20 is the equation of the line that represents Stargazer Blvd.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given that Christopher wants to build a road named Stargazer Boulevard that will be parallel to Moonbeam drive.

On the road, he will build a dinner located at 7 blocks north of the community garden.

(15, 4) and (20, 0) are the two points.

m=0-4/20-15

m=-4/5

Now we have to find y intercept.

0=-4/5(20)+b

0=-20+b

b=20

Hence, y=-4/5x+20 is the  equation of the line that represents Stargazer Blvd.

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Answer:

2 1/8 as a mixed number

Step-by-step explanation:

Answer:

\(\frac{17}{8}\)

\(2\frac{1}{8}\)

Step-by-step explanation:

17/8 as an improper fraction is \(\frac{17}{8}\)

17/8 as a mixed number is \(2\frac{1}{8}\)

An equation of the new graph is: A. y = ∣x - 4∣ - 9.

In Mathematics and Geometry, the translation of a graph to the right simply means a digit would be added to the numerical value on the x-coordinate of the pre-image:

g(x) = f(x - N)

Conversely, the translation of a graph downward simply means a digit would be subtracted from the numerical value on the y-coordinate (y-axis) of the pre-image:

g(x) = f(x) + N

Since the parent function y = ∣x∣ was translated 4 units to the right and 9 units down in order to produce the graph of the image, we have:

y = ∣x - 4∣ - 9

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

a) ≈ 0.1

b) ≈ 0.2

c) ≈ 0.9

Step-by-step explanation:

GIVEN :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

SOLUTION :-

a) \(\tan \theta = \frac{\sin \theta}{\cos \theta} = \frac{0.1}{0.995}\) ≈ 0.1

b) \(\tan \theta = \frac{\sin \theta}{\cos \theta} = \frac{-0.158}{-0.987} = 0.16 (appx)\) ≈ 0.2

c) \(\tan \theta = \frac{\sin \theta}{\cos \theta} = \frac{0.631}{0.776} = 0.81 (appx)\) ≈ 0.9

The graph of the function f(x) = x² + 2x + 3 is a parabola with vertex (-1, 2).

You can use the vertical line test on a graph to determine whether a relation is a function. If it is impossible to draw a vertical line that intersects the graph more than once, then each x-value is paired with exactly one y-value. So, the relation is a function.

Given, the function is f(x) = x² + 2x + 3

We have to find the graph of the function.

Let y = x² + 2x + 3

Put x = -3

y = (-3)² + 2(-3) + 3

= 9 - 6 + 3

= 9 - 3

y = 6

Put x = -2

y = (-2)² + 2(-2) + 3

= 4 - 4 + 3

y = 3

Put x = -1

y = (-1)² + 2(-1) + 3

= 1 - 2 + 3

= 4 - 2

y = 2

Put x = 0

y = (0)² + 2(0) + 3

= 0 + 0 + 3

y = 3

Put x = 1

y = (1)² + 2(1) + 3

= 1 + 2 + 3

= 3 + 3

y = 6

We can plot the graph using the points.

The graph of the function f(x) = x² + 2x + 3 is a parabola with vertex (-1, 2).

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Answer: 20

Step-by-step explanation:

Multiply 2.4*10-4

Calculate 24-4

the answer is (12x^10000)/5

Answer:

The car is moving 15 degrees South of East. This means that it is moving in a direction that is 75 degrees from the positive x-axis.

The velocity vector of the car can be broken down into its components in the x and y directions as follows:

vx = v * cos(theta) = 68 * cos(75) = 17.3 mph

vy = v * sin(theta) = 68 * sin(75) = 66.3 mph

where

v = 68 mph (magnitude of velocity)

theta = 75 degrees (angle of velocity vector with respect to the positive x-axis)

Therefore, the car is moving 17.3 mph in the Eastern direction and 66.3 mph in the Southern direction.

\(y = -\frac{1}{9}(x - 1)^2 - 6\)

Step-by-step explanation:

The vertex form of the equation for a parabola is given by

\(y = a(x - h)^2 + k\)

where (h, k) are the coordinates of the parabola's vertex. Since the vertex is at (1, -6), we can write the equation as

\(y = a(x - 1)^2 - 6\)

Also, since the parabola passes through (4, -7), we can use this to find the value for a:

\(-7 = a(4 - 1)^2 - 6 \Rightarrow -7 = 9a - 6\)

or

\(a = -\frac{1}{9}\)

Therefore, the equation of the parabola is

\(y = -\frac{1}{9}(x - 1)^2 - 6\)

Answer:

it's 50 look at the height and look at the width

Answer:

The answer is 32x+67

Step-by-step explanation:

The non-permissible replacement for x in this expression is 1.

An expression is a set of terms combined using the operations +, – , x or ÷. An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An expression is in simplest form when no terms can be combined.

Given:

The given expression is

\(x=\frac{b^{2} }{5b-5}\)

Non-Permissible Values: values of a variable that make the denominator of a rational expression equal 0.

If the denominator contains a binomial, the non-permissible values can be determined from the factored form of the binomial.

A rational expression is a fraction, where p and q are polynomials, q ≠ 0. A non-permissible value is a value of the variable that causes an expression to be undefined. For a rational expression, this occurs when the denominator is zero.

Inadmissible Values: values of a variable that do NOT make sense in the context of a given problem.

According to given question we have

The expression is

\(x=\frac{b^{2} }{5b-5}\)

By definition, the non-permissible replacement for x in this expression, is the value of x that makes the denominator equal to zero.

5b-5=0

5b=5

Divide both sides by 5 we get,

b=1

Therefore, the non-permissible replacement for x in this expression is 1.

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