A chemist is heating water so it can dissolve a larger amount of sodium chloride. The water's temperature increases 7°C each minute from an initial temperature of 21°C. How long will it take for the water to reach 49°C?

After multiplying, the answer of (4+2√3)(6-3√3) is 15.

1. Divide the radicands by two. Under the radical sign, there is a number called a radicand. 2. Multiple the integers as though they were whole numbers in order to multiply radicands. Keep the product under a single radical sign at all times.

3. Remove any perfect squares from the radicand by factoring. Check to determine whether the radicand is a factor of any perfect squares to do this.

4. Before the radical sign, place the square root of the ideal square. Keep the second element in the radical sign.

5. Square the root of a square. A square root may occasionally need to be multiplied by itself.

(4+2√3)(6-3√3)

⇒ 4 ×6 + 4 × -3√3 + 2√3 × 6 - 2√3 × 3√3

⇒ 24 - 12√3 + 12√3 - 9

⇒ 15

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8x+3y-6x+4y

=8x-6x+3y+4y

=2x+7y

The value of x for the equation log₄64=x is 3.

Due of their connection to exponential functions, logarithmic functions are crucial. Exponential equations and the characteristics of exponential functions may both be investigated using logarithms. Additionally, they will be of great service in calculus, where they will be used to determine the slope of specific functions and the region enclosed by particular curves. They also have useful uses in economics.

Given,

log₄64=x

It can be expressed as -

64 = 4ˣ

4³ = 4ˣ

As base is same,

x = 3

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Considering the definition of an inequality, all possible values for the length of the sides of the square picture are greater than 3 inches but less than 8.75 inches.

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

An inequality contains one or more unknown values ​​called unknowns, in addition to certain known data.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

The perimeter of a two-dimensional figure is the distance around the figure. That is, the perimeter of a flat geometric figure is called the length of its contour.

The perimeter is the measurement obtained as a result of the sum of the sides of a flat geometric figure.

A square is a flat geometric figure that has four equal sides, so the expression to calculate the perimeter of a square is:

Perimeter= 4× length of the sides

In this case, you know that the perimeter of a square picture frame is to be at most 35 inches but no less than 12 inches.

Being "S" the length of the sides of the square picture, the inequality that expresses the previous relationship is

12 inches< 4×S ≤35 inches

Solving:

12 inches ÷4< S ≤35 inches ÷4

3 inches <S≤ 8.75 inches

Finally, all possible values for the length of the sides of the square picture are greater than 3 inches but less than 8.75 inches.

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The probability is 0.357

Given that,

The system has at least one type of defect,

Suppose, A certain system can experience three different types of defects.

Let  (i = 1,2,3) denote the event that the system has a defect of type i.

Suppose that the following probabilities are,

P(A1)=0.11

P(A2)=0.08

P(A3)=0.05

P(A1UA2)=0.13

P(A1UA3)=0.13

P(A2UA3)=0.11

P(A1nA2nA3)=0.01

P(A1nA2)=0.06

P(A1nA3)=0.03

P(A2nA3)=0.02

P(A1UA2UA3)=0.14

P= P(A1) + P(A2) + P(A3) - 2P(A1UA2) - 2P(A1UA3) - 2P(A2UA3) +       3P(A1nA2nA3) / P(A1UA2UA3)

P= 0.11 + 0.08 + 0.05 -2*0.06 -2*0.03 -2*0.02 +3*0.01 / 0.14

P=0.357

Hence, the probability is 0.357

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We need to calculate the probability that it has exactly one type of defect

Using given data

+ +

P =

Put the value into the formula

Hence, The probability is 0.357

Answer:

1. -1    2. -22 i think may be wrong   3. -20

Step-by-step explanation:

good ol integers payin off

the slope of that equation is -3/5

The answers are:

Domain:  [-7, ∞)

Range: [-3, ∞)

Increasing: [-7, -2] U [4, ∞]

Decreasing: [-2, 4]

Positive: [-5, 2] U [6, ∞)

Negative: [-7, -5] U [2, 6]

The domain is the set of the possible inputs of the function, by looking at the graph we can see that the graph starts at x = -7 and keeps going to the right, so the domain is:

D: [-7, ∞)

The range is the set of the outputs, in this case, the minimum value is y = -3 and then it keeps going up.

R: [-3, ∞)

Now, the graph increases when it goes upwards, in this case the graph increases in:

[-7, -2] U [4, ∞]

And decreases on:[-2, 4]

And it is negative on the intervals where the function is below the horizontal axis: [-7, -5] U [2, 6]

And it is positive on the intervals: [-5, 2] U [6, ∞)

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The value of function  f(x) = x+4 when x=3 is 7.

By considering given function

f(x) = x+4

f(3)= 3+4

f(3)=7

A mathematical expression, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships.

Four broad categories can be used to classify different types of functions. One to one function, many to one function, onto function, one to one and into function—all based on the element.

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The value of function f(x) = x+4 by evaluating it when x = 3 will be 7.

A function is defined as anything from a set X to a set Y assigns to each element of X exactly one element of Y.

We are given a function:

f(x) = x + 4

We need to evaluate for x = 3.

We will do this by putting x = 3 in the function given to us.

So, we get that:

f ( 3 ) = 3 + 4

Adding the terms, we get that:

f ( 3 ) = 7

Therefore, value of function f(x) = x+4 by evaluating it when x = 3 will be 7.

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If you climb up 5 flights of stairs it will give zero according to the given condition. The correct option is C.

What about expression?

Expression in maths is defined as the combination of numbers, variables, and functions by using operators like addition, subtraction, multiplication, and division.

Given some situations which of those can be represented with an integer​ that, when combined with the opposite of −5​, makes​ 0?

If you climb up 5 flights of stairs means you move forward upwards then it will give the positive value of 5.

Now, when it is added to -5 then it will give zero.

= 5+(-5)

= 5-5

= 0

Therefore, If you climb up 5 flights of stairs it will give zero by combining the opposite of that according to the given question. The correct option is C.

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The question is incomplete.

Kindly, find the complete question below.

Which of these situations can be represented with an integer​ that, when combined with the opposite of −5​, makes​ 0?

Select all that apply.

A. You earn ​$5 from your chores.

B. You walk down 5 flights of stairs.

C. You climb up 5 flights of stairs.

D. The temperature drops 5°F.

E. You spend ​$5 on a game.

Greetings from Brasil...

According to trigonometry, we have:

COS α = SIN (90 - α)

SIN α = COS(90 - α)

Then

(SIN 45).(COS 45) + [(SIN 30).(COS 60)] - COS² 30]

(√2/2).(√2/2) + [(1/2).(1/2)] - (√3/2)² = 0

Answer:

53°

Step-by-step explanation:

Corresponding angles are congruent

the linear equation such that it is parallel to the line:

y = -2x + 5

And that it passes through the point (-2, -4) is y = -2*x - 8

Here we want to find a linear equation such that it is parallel to the line:

y = -2x + 5

And that it passes through the point (-2, -4)

Remember that two lines are parallel if and only if the lines have the same slope and different y-intercept.

Then our line is something like:

y = -2*x + b

To find the value of b, we replace the values of the given point:

-4 = -2*-2 + b

-4 = 4 + b

-4 - 4 = b = -8

We conclude that the linear equation is y = -2*x - 8

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According to the given statement;

The statement is False. Data at the ordinal level can be qualitative or quantitative.

Ordinal data is a form of categorical statistical data where the distances between the categories are unknown and the variables have naturally occurring, ordered categories.

Ordinal is the second of four levels of measurement in a hierarchy that also includes nominal , ordinal , interval , and ratio. The degrees of measurement show how well the data were recorded.

In contrast to nominal and ordinal variables, which are categorical, interval and ratio variables are quantitative.

According to the given data,

The statement is False.

Data at the ordinal level can be qualitative or quantitative.

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The area of the square is found as -8 unit².

Distance between two coordinates (x₁, y₁) and (x₂, y₂)  are-

d = √[(x₁ - x₂)² + (y₁ - y₂)²]

Consider two given coordinates;

(x₁, y₁) = H(1,-3) and

(x₂, y₂) = G(3,-1)

Put the values in the given distance formula;

d = √[(1 - 3)² + (-3 + 1)²]

d = √[(-2)² + (-2)²]

On solving,

d = 2√2 unit

Thus, one side of the square is found as 2√2 unit.

The area of the square is given as;

Area = side²

Area = (2√2)²

Area = 8 unit²

Therefore, the area of the square given by the coordinates if found to be 8 unit².

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The complete question is-

The coordinates of square are given, find the area of the square-

H(1,-3)

G(3,-1)

F(5,-3)

E(3,-5)

The square tiles needed to cover the floor will be 9.

From the information, the square floor has a side length of (9/2) units and the square tile has a side length of (3/2)² units.

Therefore, the square tiles needed to cover the floor will be:

= Area of floor / Area of one tile

= (9/2)² / (3/2)²

= (9 × 9)/(3 × 3)

= 81 / 9.

= 9

Therefore, the square tiles needed to cover the floor will be 9.

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Answer:

The missing value of the table is 1,800 .

The rate of lemon used in lemons per cup of lemonade is 120%

Based on the given conditions,

18/15 = 6/5

Cross out the common factor: 6/5 x 20/20

Multiply a number to both the numerator and the denominator,

6 x 20/ 5 x 20.

Write as a single fraction, 120/100

Rewrite a fraction with denominator equals 100 to a percentage which is 120%.

part of a whole expressed in hundredths a high percentage of students attended. b : the result obtained by multiplying a number by a percent the percentage equals the rate times the base. 2a : a share of winnings or profits.​5 percent​ is ​one half of 10 percent​. To calculate 5 percent of a number, simply divide 10 percent of the number by 2. For example, 5 percent of 230 is 23 divided by 2, or 11.5.

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The inverse for the function f (x) = 1.2 x⁴ will be f ⁻¹ (x) = ⁴√ ( 5 x / 6).

We are given the function:

f (x) = 1.2 x⁴

we need to find the inverse of the function.

First we will write the function in the form of x.

y = 1.2 x⁴

y / 1.2 =  x⁴

x = ⁴√ ( y / 1.2)

x = ⁴√ ( 5 y / 6)

So, the inverse function will be:

f ⁻¹ (x) = ⁴√ ( 5 x / 6)

Therefore, the inverse for the function f (x) = 1.2 x⁴ will be f ⁻¹ (x) = ⁴√ ( 5 x / 6).

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Answer:

if i am looking at this correct then number 4 is 6 faces number 5 is 5 and number 6 is 5

Answer: 10,000 less of 84.562 = −

9915.438 | 10000 more of 84.562 = 10084.562

Step-by-step explanation:

10000 less:

Just subtract 10000 from 84.562.

10000 More:

Just add 10000 to 84.562

The equation of the line in fully simplified slope-intercept form is y = -x + 3

From the question, we are to write the equation of the line in fully simplified slope-intercept form

The slope-intercept form of the equation of a straight line is given as

y = mx + b

Where m is the slope of the line

and b is the y-intercept

From the graph,

The y-intercept is 3

∴ b = 3

Now, we will determine the slope, m, of the line

Given any two points (x₁, y₁) and (x₂, y₂) on a line, the slope, m, of the line is

m = (y₂ - y₁)/(x₂ - x₁)

Picking the points, (0, 3) and (2, 1)

m = (1 - 3)/(2 - 0)

m = -2/2

m = -1

Putting in the slope, m, and the y-intercept, b into the equation of a line

y = mx + b

We get

y = -1(x) + 3

Simplify

y = -x + 3

Hence, the equation of the line in fully simplified slope-intercept form is y = -x + 3

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Answer:

y = 12x

Step-by-step explanation:

For an equation to be parallel the slopes must be the same.  The slope from the equation is 12.

y = mx + b  is the slope-intercept form of a line'

y = 12x + 3.  The m is the slope and that is 12 ion this equation.

We will use the slope (12), the x (0) and the y (0) to write the new equation.  We need to find the y intercept.  We can see from the ordered pair given that the y - intercept would be zero, but here is another way to check.

y = mx + b

0 = 12(0) + b

0 = 0 + b

0 = b

y = 12x + 0

or

y = 12x

Answer:

dat it

116cm times 7=812

128cm times 8=1024

1024-812=212cm

Answer:

-3

Step-by-step explanation:

p(0) = (0^2) + 5(0) - 3

p(0) = 0 + 0 - 3

p(0) = -3

The number of books that Mrs. Johnson bought is 8 books.

How many magazines did she buy:

Let x represent the number of books she bought

The first step is to formulate an equation

12x + 16 = 112 dollars

The second step is to transpose

12x=112-16  

12x = 96

The third step is to divide both sides by 12

x=96/12  

x = 8

In conclusion, the number of books that Mrs. Johnson bought is eight books.

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Answer:

m=-1

Step-by-step explanation:

20m+5-2m=-13

18m=-18

m=-1

Answer:

[tex] \sf \: m=−1[/tex]

Step-by-step explanation:

5(4m+1)-2m=-13

Step 1: Simplify both sides of the equation.

5(4m+1)−2m=−13

(5)(4m)+(5)(1)+−2m=−13(Distribute)

20m+5+−2m=−13

(20m+−2m)+(5)=−13(Combine Like Terms)

18m+5=−13

18m+5=−13

Step 2: Subtract 5 from both sides.

18m+5−5=−13−5

18m=−18

Step 3: Divide both sides by 18.

18m/18 = −18/18

m=−1

According to the given logarithm 3 log₄ x+2 log₄x written as a single logarithm 5 log₄(x).

When they urge you to "simplify" a log expression, it usually implies they've given you a bunch of log terms, each with a simple argument, and they'd like you to combine them all into one log with a sophisticated argument. In this sense, "simplifying" usually means the inverse of "growing."

3 log₄ x+2 log₄ x

Add similar elements:

So:

This expression can be written as:

3 log₄ (x)+2 log₄ (x) = 5 log₄(x)

According to the given logarithm 3 log₄ x+2 log₄x written as a single logarithm 5 log₄(x).

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