Multiply both sides: multiply both sides by what?

-10w ( ) = -9 ( )

Answer:  True. In an elastic collision, both momentum and kinetic energy are conserved. This means that the total momentum and total kinetic energy of the system before the collision is equal to the total momentum and total kinetic energy of the system after the collision.

Step-by-step explanation:

The value of x is 6

2/5 = 6/21-x

Cross multiply both sides

2(21-x)= 30

42-2x= 30

collect the like terms

-2x= 30-42

-2x= -12

Divide both sides by the coefficient of x which is 2

2x/2 = 12/2

x= 6

Hence the value of x is 6

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If the brain volumes (cm³) of 20 brains have a mean of 1085.2 cm³ and a standard deviation of 125.6 cm³. For such data: it is significantly low for a brain because 1386.4 cm³ is less than the upper limit.

Mean = 1085.2 cm³

Standard deviation = 125.6 cm³

Hence,

Lower limit = Mean - 2 x Standard deviation

Lower limit  =1085.2 - 2 x 125.6

Lower limit =1161.2 - 251.2

Lower limit  =910

Upper Limit = Mean + 2 x Standard deviation

Upper Limit = 1161.2 +  2 x 125.6

Upper Limit =1161.2 +251.2

Upper Limit =1412.4

The limit of values is from 910 to 1412.4.

A value below 910 will be is considered low and a value above 1412.4  will be considered high

Therefore 1386.4 cm³ is less than the upper limit. Thus it is significantly low for a brain.

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The number of tickets that Sam can buy, given the amount he has to spend and the price of admission, is 36 tickets.

The rate of change is $ 0.75 per attraction.

The table on the number of tickets and total cost is:

Number of tickets                 1                        5                 10               15

Total cost                          $ 10. 75             $ 13.75       $17.50        $ 21. 25

The number of tickets that Sam can buy when he has $ 37 is:

= (Amount to spend - Cost of admission ) / Cost per ticket

= ( 37 - 10 ) / 0.75

= 36 tickets

The rate of change is therefore the $ 0.75 charged per ticket per event.

The number of tickets for $ 10. 75 is:

= ( Total cost - Cost of admission ) / cost per ticket

= ( 10. 75 - 10 ) / 0.75

= 1 ticket

The cost of 5 tickets :

= ( Number of tickets x cost per ticket) + cost of admission

= (5 x 0. 75 ) + 10

= $ 13. 75

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The graphs of the functions f(x) and g(x) are attached with the answer.

       [tex]${\displaystyle G=\{(x,f(x))\mid x\in X\}.}[/tex]

Given are the functions f(x) and g(x).

The given functions are -

f(x) = [tex]$100(\frac{3}{5})^{x}[/tex]

g(x) = [tex]$100(\frac{2}{5})^{x}[/tex]

Refer to the graphs of the function f(x) and g(x).

Therefore, the graphs of the functions f(x) and g(x) are attached with the answer.

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Answer:

60% of the total calories is from fat

Step-by-step explanation:

We already have our first value 180 and the second value 108. Let's assume the unknown value is Y which answer we will find out.

As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

STEP 1Y =

108

180

By multiplying both numerator and denominator by 100 we will get:

STEP 2Y =

108

180

×

100

100

=

60

100

STEP 3Y = 60

To answer this, you get to pick any x-value and then solve for y OR you can pick any y-value and solve for x.

For this one, let's pick x = 3.  We'll then substitute 3 in for x in the equation:

       - (3) + 2y = 7

and then solve for x:

       -3 + 2y = 7

Add 3 to both sides:
              2y = 10

Divide by 2 on both sides:
                y = 5

This shows that (3,5) is a solution for the equation.

Again, you could pick any x-value and solve for y OR pick any y-value and solve for x.  There are an infinite number of solutions.

Using Squeeze theorem, the limit of the function is 0

The Squeeze Theorem states that if f(x,y) <= g(x,y) <= h(x,y) for all x,y in a region around (x0,y0) and lim (x,y)->(x0,y0) g(x,y) = L, then lim (x,y)->(x0,y0) f(x,y) = lim (x,y)->(x0,y0) h(x,y) = L.

We can use the Squeeze Theorem to find the limit of the given function by finding two other functions that bound it and have known limits as (x,y) approaches (0,0).

We can see that

(x^2+y^2)/(x^2+y^2) <= 3x^2y/(x^2+y^2) <= (3xy)/(x^2+y^2)

As x,y approaches 0, the first inequality approaches 1 and the second one approaches 0, so the limit of the given function is also 0.

Therefore, lim [(x,y) -> (0,0)] (3 . x^2 . y / (x^2 + y^2)) = 0.

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19.63

Step-by-step explanation: area of circle=pi*r^2

3.14*2.5^2

3.14*6.25

=19.625 rounded to nearest tenth is 19.63

The measure of side KL from triangle KLM is 22 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Given that, triangle HIJ is similar to triangle KLM.

From the similar triangles,

JH/MK =HI/KL

31/13.9 =49/KL

31KL=49×13.9

31KL=681.1

KL=681.1/31

KL=21.97

KL≈22

Therefore, the measure of side KL is 22 units.

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Answer:

D

Step-by-step explanation:

For the graph of the function F(x), when x goes from 0 to 1, F(x) is a negative number with large absolute value. Option D is correct.

A function that wraps an algebraic expression in absolute value symbols is known as an absolute value function. Remember that a number's distance from 0 on the number line represents its absolute value.

When the value of x goes from 0 to 1 the function shifts and the value is decreased gradually, thus giving F(x) as negative number with a large absolute value.

Hence, option D is the correct answer.

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The trigonometric ratios as fractions in simplest terms are sin X= 8/17 and cos W= 8/17.

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

In the given triangle WVX, WV=24, WX=51 and VX=45

We know that, sinθ = Perpendicular/Hypotenuse and cosθ = Base/Hypotenuse

Here, sin X= 24/51

sin X= 8/17

cos W= 24/51

cos W= 8/17

Therefore, the trigonometric ratios as fractions in simplest terms are sin X= 8/17 and cos W= 8/17.

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By solving a linear equation we will see that the polygon has 19 sides.

Remember that for a polygon of n sides, the sum of the interior angles is equal to:

(n - 2)*180°

Here we also know that 3 angles are:

136°, 138°, and 146°

And the rest of the angles (n - 3) angles are of 165° each.

Then the sum of the interior angles gives:

136° + 138° + 146° + (n - 3)*165°

And that must be equal to the expression above, so we can write the linear equation:

136° + 138° + 146° + (n - 3)*165°  = (n - 2)*180°

420° + n*165° - 495° = n*180° - 360°

n*165° - 75° = n*180° - 360°

360° - 75° = n*180 - n*165

285° = n*15°

285°/15° = n

19 = n

That is the solution.

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The given system of equations has infinitely many solutions. Option A is correct.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
Given equation,
- 6x - 2y = 10 - - - -1

y = - 3x - 5  - - - -2

From equation 1
-6x - 2y = 10
Reform the equation,
-2y = 6x + 10

Divide the above equation by -2,
y = -3x - 5

Since the above equation is equivalent to equation 2, therefore the system of equations has infinitely many solutions.

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Answer:I think being honest with them just tell them how you really feel not because just they ask and you just say I am fine how are you just tell how you really feel about that day. Be honest ...

Step-by-step explanation:

How I've been today? Quite magnificent. Thank thou for your generosity.

Answer:

  -0.155

Step-by-step explanation:

You want the slope of Bob's descent when he descends 3200 feet in a horizontal distance of 3.9 miles.

To find the slope of Bob Dean's descent, we can use the formula:

  slope = (change in elevation) / (change in horizontal distance)

In this case, the change in elevation is 3200 feet and the change in horizontal distance is 3.9 miles.

  slope = -3200 feet / (3.9 miles)

To convert the horizontal distance to feet, we multiply by 5280 (the number of feet in a mile)

  slope = -3200 feet / (3.9 * 5280 feet)

  slope = -3200 / 20,592

  slope ≈ -0.1554

The slope of Bob Dean's descent is about -0.155.

__

Additional comment

As a percent grade, this is a 15.5% grade, very steep. He will need to check his brakes before he starts down.

A coefficient is a number that is multiplied by a function or an expression.

A coefficient is a multiplier to a function or an expression.

For example, in a polynomial function, the coefficients are the terms that multiply the powers of x.

Taking the standard quadratic function as follows:

y = ax² + bx + c.

The coefficients are a, b and c.

Considering this concept, the blanks are completed on the answer at the beginning.

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Answer:

Step-by-step explanation:

Answer:

0.5 is the answer

Step-by-step explanation:

2 clearly cannot be divided by 4

So what we have to do is put a 0 over the 2 and a decimal in the place after the 2 and bring down a 0 making it 20÷4=5

Don't forget the decimal point that was necessary to create the 20

That makes the answer 0.5

Answer:

total probability (1,1),(1,2),(1,3)(1,4) (1,5)(1,6)

 (2,1) (2,2) (2,3) (2,4) (2,5)(2,6)

(3,1)(3,2)3,3 3,4) (3,5) (3,6)

(4,1) (4,2)(4,3)(4,4)(4,5)(4,6)

(5,1)(5,2)(5,3)(5,4)(5,5)(5,6)

(6,1)(6,2)(6,3)(6,4)(6,5)(6,6)

3/36=1/12

Step-by-step explanation:

Answer:

y = -x - 3

Step-by-step explanation:

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

Given that the point (-8,5) lies on the line and the slope of the line is m=-1, we can use the point-slope form of a linear equation to write the equation of the line.

The point-slope form of a linear equation is y - y1 = m(x - x1), where (x1, y1) is a point on the line, and m is the slope of the line.

So substituting the given point (-8,5) and slope m=-1 into the point-slope form, we get:

y - 5 = -1(x + 8)

Simplifying, we get:

y = -x - 3

This equation is the slope-intercept form of the line that passes through the point (-8,5) and has a slope of -1.

Answer:

To find out how many weeks it will take for the pea aphid population to reach 9,600 individuals, we need to determine how many times the population needs to double to reach that number.

We can use logarithms to find this out. Using the rule log(A) / log(B) = log(A) to base B, we can calculate the number of times the population needs to double.

log(9600) / log(2) = log(9600) to base 2 = 9.98

So the population needs to double 9.98 times.

Since the population doubles every week, it will take 9.98 weeks for the population to reach 9,600 individuals.

Vote Branliest!

Answer: 5 weeks

Step-by-step explanation: Based on the information given, let's conduct an equation. It'd look something like this:

300 * [tex]2^{x}[/tex] = 9600

Now, we need to "reduce" the greatest common factors on both sides of the equation. This is so we can find the value of "x" It should look like this:

[tex]2^{x}[/tex] = 32

Now, we need to covert both sides to have the same base, which should look like this:

[tex]2^{x} = 2^{5}[/tex]

Based on the information given, we now know that x = 5, making it have a constant rate of 5 weeks to reach 9,600 individuals. I hope this helped!

The value of x in the triangles are 9.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

The triangles are congruent.

That means, their corresponding angles are also congruent.

In ΔJKL,

the sum of all the angles of the triangle is 180°.

So,

x²-2x + x + 29 + 3x + 52 = 180

x² + 2x - 99 = 0

Solving the quadratic equation,

x² +11x - 9x - 99 = 0.

x (x + 11) -9 (x + 11) = 0

x = 9 and x = -11

Here, we take x = 9.

Therefore, the value of x is 9.

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Answer:

The equation that this graph corresponds to is y -3/4x + 8

Step-by-step explanation:

The answer choice you chose is correct.

Answer:

the building is approximately 28.3 feet tall, accurate to the nearest tenth of a foot.

Step-by-step explanation:

The height of the building can be found using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, the building is the hypotenuse, and the base of the ladder and the top of the ladder form the other two sides.

The height of the building can be found using the following formula:

h = √(32^2 - 15^2)

h = √(1024 - 225)

h = √(799)

h ≈ 28.3 ft

Therefore , to calculate the  average AVC, use the formula: TC at 0 output is 5, which equals fixed cost (FC) of 5.

The fixed cost per unit of output is known as the AFC, and the variable cost per unit of output is known as the AVC. We previously stated that Bob's Bakery can produce 100 loaves with FC = 40, VC = 500, and TC = 540. ATC = TC/Q = 540/100 = 5.4 as a result. Additionally, AVC = 500/100 = 5 and AFC = 40/100 = 0.4.

Here,

Total cost is equal to total fixed cost plus total variable cost, or TC.

In order to obtain the VC at each output, we must first subtract 5 from the TCs for all subsequent output levels.

AVC is now equal to VC divided by Q.

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Answer:

Step-by-step explanation: