Instructions for a chemical procedure state to mix salt, baking soda, and water in a 22 : 14 : 5 ratio by mass. How many grams of baking soda would be required to make a mixture that contains 55 grams of salt?

Answer:

answer for the first part: 61 ft

second answer: 152.5

the left side of this equation equal the right side through the process of completing the square that establishes the equality between the left side and the right side of the Gaussian integral equation.

using  completing the square method:

Starting with the left side of the equation:

∫\(e^(^-^x^2)\) dx

\(e^(^-^x^2) = (e^(^-x^2/2))^2\)

∫\((e^(^-^x^2/2))^2 dx\)

let  u = √(x²/2) =  x = √(2u²).

dx = √2u du.

∫ \((e^(^x^2/2))^2 dx\)

= ∫ \((e^(^-2u^2)\)) (√2u du)

The integral of \(e^(-2u^2)\)= √(π/2).

∫ \((e^(-x^2/2))^2\) dx

= ∫  (√2u du) \((e^(-2u^2))\\\)

= √(π/2) ∫ (√2u du)

We substitute back  u = √(x²/2), we obtain:

∫ \((e^(-x^2/2))^2\)dx

= √(π/2) (√(x²/2))²

= √(π/2) (x²/2)

= (√π/2) x²

A comparison  with the right side of the equation  shows that they are are equal.

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The end behavior of the function is as x tends to infinity, f(x) tends to zero. It is power function.

The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.

The degree and the leading coefficient of a polynomial function given is determine the end behavior of the graph.

Given that function has a vertical asymptote at x = -5 and x = 3 , a point discontinuity at x = 2.

The end behavior of f(x) goes to 0 as x goes to negative infinity and f(x) goes to 0 as x goes to positive infinity.

The domain is (-inf, -5)U(-5, 2)U(2, 3) U (3,inf).

Hence, we can conclude that the end behavior of the function is as x tends to infinity, f(x) tends to zero.

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Answer:

\(\boxed {x = -1}\)

Step-by-step explanation:

Solve for the value of \(x\):

\(15 + 3x = 3(2 - 2x)\)

-Use Distributive Property:

\(15 + 3x = 3(2 - 2x)\)

\(15 + 3x = 6 - 6x\)

-Take \(6x\) and add it to \(3x\):

\(15 + 3x + 6x = 6 + 6x - 6x\)

\(15 + 9x = 6\)

-Subtract both sides by \(15\):

\(15 - 15 + 9x = 6 - 15\)

\(9x = -9\)

-Divide both sides by \(9\):

\(\frac{9x}{9} = \frac{-9}{9}\)

\(\boxed {x = -1}\)

Therefore, the value of \(x\) is \(-1\).

Answer:

The equation of the sphere that passes through the point (7,1,-3) and center at (5, 6, 5) is \((x-5)^{2}+(y-6)^{2}+(z-5)^{2} = 93\).

Step-by-step explanation:

Any sphere centered at \((h,k,s)\) in an Euclidean space with a radius \(r\) is represented by the following formula:

\((x-h)^{2} +(y-k)^{2}+(z-s)^{2} =r^{2}\)

If \((x,y,z) = (7,1,-3)\) and \((h,k, s) = (5,6,5)\), the radius of the sphere is obtained:

\((7-5)^{2}+(1-6)^{2}+(-3-5)^{2} = r^{2}\)

\(r^{2} = 93\)

\(r = \sqrt{93}\)

The equation of the sphere that passes through the point (7,1,-3) and center at (5, 6, 5) is \((x-5)^{2}+(y-6)^{2}+(z-5)^{2} = 93\).

Answer:

a = 9h + nb

Step-by-step explanation:

1) Variables:

a=total amount earned

h=hours worked in one week

n=number of items repaired

b=bonus amount for each item

2) He earns $9.00 an hour plus a bonus for each item repaired.

=> he earns 9 times the number of hours plus value of the bonus times the number of items repaired

=>  a = 9h + nb

Answer:

40 feet?

Step-by-step explanation:

11 ft + 3 ft + 4 ft + 6 ft + 3 ft + 3 ft + 4 ft + 6 ft = 40

Answer: 2x^2+4x+2

Step-by-step explanation:

Answer:

I will give you three, but the answer is the number that has a 50

Step-by-step explanation:

52

654

7657

50 is the numbers that have a 5 in 10 times the value of the 13,725.

Place value is the value of each digit in a number.

For example, the 5 in 350 represents 5 tens, or 50; however the 5 in 5006 represents 5 thousands, or 5000.

Now the given number is,

13,725

10 times of the number is givens as,

13,725*10

or, 137,250

here place value of 5 in 137,250 is 5 tens or 50.

Therefore, 50 is the numbers that have a 5 in 10 times the value of the 13,725.

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Answer:

The question is not complete

Answer:

188.33

Step-by-step explanation:

113 = .6n  Divide both sides by .6

188.33 = n  Rounded to the nearest hundredth.

Helping in the name of Jesus.

Answer:

x2-2x=58

Step-by-step explanation:

(x-14)(x+2)=30

x2+2x-14x-28=30

x2+2x-14x=28+30

x2-2x=58

Answer:

4747484o5958583883

Step-by-step explanation:

fax bro just spitting fax

Sam studied 1 29/40 hours more for history than math, solved using fraction subtraction, making option C, the right choice.

In the question, we are given that Sam studied 2 13/20 hours for her math test. She studied 4 3/8 hours for her history test.

We are asked to find how many more hours did she study for the history test.

The time she study for history test = 4 3/8 hours.

Converting the mixed fraction to an improper fraction we get, 4 3/8 hours = 35/8 hours.

The time she study for math test = 2 13/20 hours.

Converting the mixed fraction to an improper fraction we get, 2 13/20 hours = 53/20 hours.

To find the time for which Sam studies history more than math, we do fraction subtraction, to get:

35/8 - 53/20

= (35*5 - 53*2)/40 hours

= (175 - 106)/40 hours

= 69/40 hours

= 1 29/40 hours, converting to mixed fraction.

Thus, Sam studied 1 29/40 hours more for history than math, solved using fraction subtraction, making option C, the right choice.

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The provided question is incomplete. The complete question is:

Sam studied 2 13/20 hours for her math test. She studied 4 3/8 hours for her history test. How many more hours did she study for the history test? (Simplify the answer and write it as a mixed number.)

A. 6 41/40 hours

B. 2 29/40 hours

C. 1 29/40 hours

D. 2 11/40 hours.

Answer:

THIS ANSWER IS CORRECT

----------------------------------------------

Step-by-step explanation:

BRAIN LESS ANSWER

The total volume of the composite figure is; 381 m³

The formula for volume of a prism is;

V = Bh

where;

B is area of triangular base

h is height of prism

Thus;

V = (¹/₂ * 3 * 5) * 6

V = 45 m³

Volume of bottom cuboid is given by the formula;

V = Length * width * height

Thus;

V = 16 * 7 * 3

V = 336 m³

Total volume of composite figure = 45 m³ + 336 m³

Total volume of composite figure = 381 m³

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The set of points related to an exponential function and matched with set of translated points are, respectively:

(x, y) = (- 1, 0.5) → (x', y') = (2, - 1.5)

(x, y) = (0, 1) → (x', y') = (3, - 1)

(x, y) = (2, 4) → (x', y') = (5, 2)

(x, y) = (3, 8) → (x', y') = (6, 6)

(x, y) = (1, 2) → (x', y') = (4, 0)

(x, y) = (- 2, 0.25) → (x', y') = (1, - 1.75)

According to statemente, we find the case of set of points related to an exponential function and a set of translated points, after a quick inspection we derive the transformation rule:

Horizontal translation: 3 units right, vertical translation: 2 units down.

Now we check the statement on each ordered pair:

(x, y) = (- 1, 0.5):

(x', y') = (- 1, 0.5) + (3, - 2) = (2, - 1.5)

(x, y) = (0, 1):

(x', y') = (0, 1) + (3, - 2) = (3, - 1)

(x, y) = (2, 4):

(x', y') = (2, 4) + (3, - 2) = (5, 2)

(x, y) = (3, 8):

(x', y') = (3, 8) + (3, - 2) = (6, 6)

(x, y) = (1, 2):

(x', y') = (1, 2) + (3, - 2) = (4, 0)

(x, y) = (- 2, 0.25):

(x', y') = (- 2, 0.25) + (3, - 2) = (1, - 1.75)

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The equation of the axis of symmetry of the parabola is equal to x = 4.

In this problem we find the representation of a parabola whose axis of symmetry is parallel with y-axis. The axis of symmetry passes through the vertex of the parabola. The definitions of the vertex and the axis of symmetry are, respectively:

Vertex

(x, y) = (h, k)

Axis of symmetry

x = h

If we know that h = - 4, then the equation of axis of symmetry is x = 4.

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D. suspended

explanation:

Someone who is unable to use a credit card after repeated failures to pay has had their credit suspended.

Option D is the correct answer.

Credit card suspension is a temporary measure, and the credit card can usually be reinstated once the account is brought up up-to-date.

We have,

When a person repeatedly fails to make payments on their credit card, their credit card company may suspend their credit card.

This means that the person will not be able to use the credit card until they bring their account up-to-date and pay any outstanding balance or fees.

However, repeated failures to pay can have a negative impact on a person's credit score, which is a measure of their creditworthiness.

If the account remains delinquent, it may eventually lead to default, which is when the lender takes legal action to recover the unpaid debt.

Thus,

Someone who is unable to use a credit card after repeated failures to pay has had their credit suspended.

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Step-by-step explanation:

the inside expression of an absolute value expression can be positive or negative, but the result is only the positive one.

therefore, for our example here the negative case would be

2.5x - 6.8 = -12.9

which gives us

2.5x = -6.1

x = -6.1/2.5 = -2.44

and the positive case would be

2.5x - 6.8 = 12.9

and that gives us

2.5x = 19.7

x = 19.7/2.5 = 7.88

The answer is -9x + 6 2/3.

Answer:

2 squared - 7 + -4

Step-by-step explanation:

After simplification of the given stock of steel bar , 1-21/64 inches of available stock are wasted.

As given in the question,
Length of the steel bar in stock = 9 7/16 inches

Length of one punch = 4 1/64 inches

Length of other punch = 4 3/32 inches

Simplification of the given data,

Length of steel bar - length of one punch

= 9 7/16 - 4 1/64

= 144/16 - 256/64

= (576 - 256)/64

= 320/64

=5 27/64 inches

Now,

subtract 4 3/32 from 5 27/64

= 5 27/64 - 4 3/32

= 347/64 - 131/32

=347/64 - 262/64

=(347-262)/64

=85/64

= 1 21/64inches

It means about "1 21/64" inches of the steel beam was wasted.

Therefore, after simplification the length of 1 21/64 inches of stock get wasted.

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Answer:

Hold up i know the answer.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

Step-by-step explanation:

what do u need help with

Step-by-step explanation:

Let's call the width of the rectangle "w".

The length of the rectangle is 7w - 16.

The perimeter of the rectangle is 48, so:

2w + 2(7w - 16) = 48

Expanding the second term:

2w + 14w - 32 = 48

Combining like terms:

16w = 80

Dividing both sides by 16:

w = 5

So the width is 5 inches.

To find the length, use the formula for the length:

7w - 16 = 7 * 5 - 16 = 24 - 16 = 8

The length is 8 inches.

Therefore, the answer is:

B. 8 inches.

A line has no endpoints (line FG), a line segment has two endpoints (line segment AB), and a ray has one endpoint (ray CD).

A line segment can be described as a line having two definite endpoints.

A ray is a part of a line that has just one fixed endpoint and extends in the opposite direction of the endpoint to infinity.

A line has no endpoint. It extends in opposite directions to infinity.

1. The figure that is a line segment is the green figure. (line segment AB).

2. The blue figure is a ray (ray CD)

3. The red figure is a line (line FG).

In summary, a line has no endpoints (line FG), a line segment has two endpoints (line segment AB), and a ray has one endpoint (ray CD).

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