William spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -12.2°F. Between 9am and noon, the temperature rose 16.2°F. Between noon and 3pm, the temperature dropped 9.1°F. Between 3pm and 6pm, the temperature dropped 5°F. What was the temperature at 6pm?

The domain of a logarithm function is (0, ∞). The range of the logarithm function is all real numbers.

What is a function?

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

The given function is f(x) = log x.

When the value of x is less than or equal to 0, then the value of log x is undefined.

The possible value of x where f(x) exists is the domain of a function.

In the given function the value of x must be greater than zero.

The domain of the function is (0,∞).

log (0.1) = -1

log (0.023) = -1.638

The value of log x can be any real number.

The possible value of the logarithm function is any real number. Thus the range of the function is (-∞, ∞).

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Answer:

Hence for a patio with Dimension

Length=12.5 feet

Width=9.5 feet

2.4 bags of concrete mix  is needed

Step-by-step explanation:

The question is not complete, there is not attachment showing the dimension of the patio

Say the dimension of the patio is

Length=12.5 feet

Width=9.5 feet

Area= Length* Width

Area= 12.5*9.5

Area= 118.75 square feet

One bag of concrete mix will cover 50 square feet

Hence x bags will cover  118.75 square feet

cross multiply

50x= 118.75*1

x= 118.75/50

x= 2.4 bags

Answer:

201.06

Step-by-step explanation:

for future questions like this, look up on  "what is the surface area of a sphere calculator"

Answer:

200.96- the first one is right

201.06- if u round it  

Step-by-step explanation:

Answer:

Step-by-step explanation:

3 : 12

Both have table of 3 in common so

1 : 4 or 1/4

4 : 64

Both have table of 4 in common

1 : 16 or 1/16

Answer:

Fraction form for number 1: 1/4

Decimal form for number 1: 0.25

Fraction form for number 2: 1/16

Decimal form for number 2: 0.0625

Step-by-step explanation:

For the fraction form for number one, all we have to do is change 3:12 to 3/12. Then we just simplify. 1/4. The decimal for 1/4 is just .25, or one quarter.

For the second one, we need to change 4:64 into 4/64. Then we simplify to 1/16. The decimal is a little bit trickier but it comes out to 0.0625.

You're done!

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9514 1404 393

Answer:

Step-by-step explanation:

The dollar value of the 20% coupon will increase if the discount is from a larger amount. Applying the $25 coupon first reduces the amount that the 20% applies to, so reduces the dollar value of the 20% coupon.

Michelle used the 20% coupon first, so its value was 20%($100) = $20.

Natasha used the $25 coupon first, so the value of the 20% coupon was ...

  20%($100 -25) = 20%(%75) = $15.

Michelle paid $20 -15 = $5 less.

Answer:

A. x>-6

Step-by-step explanation:

x-11<2x-11+1+5

x-2x<-11+1+5+11

-x<6 (Now multiply by - )

x>-6

The value of StartFraction P (t) Over A EndFraction for this problem will be 20

Take the value of x that they provide you and plug it into the problem for these kinds of difficulties.

The fraction's numerator is the highest number. It stands in for the entire thing that must be divided.

A fraction's denominator is the value at the bottom. It shows how many equally sized pieces are divided up in the object.

adding 3 to the formula:

6/(3) + 2(3)^2 —> use PEMDAS. Apply the 32 exponents first, followed by left-to-right multiplication and division, and finally addition.

6/x + 2x^2,

when x = 3

=20

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The question the incomplete the full question:

What is the value of StartFraction 6 Over x EndFraction + 2x2, when x = 3?

Answer:

The second part is 0.8 and B. About 1,845 years.

Step-by-step explanation:

:)

Answer:

c, d, e, g

Step-by-step explanation:

c. you already got it correct

d. since angle b is 100, arc AC must be two times that amount, which is 200

e. opposite angles of a quadrilateral are supplementary (adds up to 180). to find CDA, you have to do 180 minus 100 (which is the measure of angle B) to get 80

g. opposite angles of a quadrilateral are supplementary (adds up to 180). to find BCD, you need to do 180 minus 70 (which is the measure of angle A) to get 110

Answer:

{x,y}={6,-2}

Step-by-step explanation:

System of Linear Equations entered :

[1]    3x + 5y = 8

  [2]    2x - 5y = 22

Solve by Substitution :

// Solve equation [2] for the variable  x

 [2]    2x = 5y + 22

 [2]    x = 5y/2 + 11

// Plug this in for variable  x  in equation [1]

  [1]    3•(5y/2+11) + 5y = 8

  [1]    25y/2 = -25

  [1]    25y = -50

// Solve equation [1] for the variable  y

  [1]    25y = - 50

[1]    y = - 2

// By now we know this much :

   x = 5y/2+11

   y = -2

// Use the  y  value to solve for  x

 x = (5/2)(-2)+11 = 6

Graphic Representation of the Equations :

The answer should be: {x,y}={6,-2}

Answer:

A

Step-by-step explanation:

Notice that its y-intercept is (0,-5), so it crosses the y-axis at (0,-5)

Then, we notice that it is going doing from [-10,-2] and remains the same from[-2, 10]. Thus, the best choice is A

Answer:

graph D. it shows how much has you have at the beginning and ascends down to what you have left at 500

Answer:

Graph D

Step-by-step explanation:

With the other graphs, the information is too spread out or confusing. Graph D sums it up properly and makes it easy to read and understand.

Answer: The graph is NOT [tex]\text{y} > 3\text{x}-4[/tex]

Explanation:

The inequality of [tex]\text{y} > 3\text{x}-4[/tex]  has the boundary equation [tex]\text{y} = 3\text{x}-4[/tex]

That equation is in the format [tex]\text{y} = m\text{x}+b[/tex] which is slope-intercept form.

m = 3 = slope

b = -4 = y intercept

The positive slope indicates the boundary line goes uphill when moving to the right. However, the graph shows the complete opposite with the line going downhill. This means that the graph cannot possibly be [tex]\text{y} > 3\text{x}-4[/tex]

To solve a function, you must determine the value of the function for a given input. This requires finding the equation for the function and then plugging in the given input to find the output. For example, if the function is f(x) = x2 + 2x - 5, and the given input is 3, then the output of the function is f(3) = 12.

1. Substitute the given input, x = 3, into the equation.

2. Simplify the equation:  f(3) = 32 + 2(3) - 5

3. Solve the equation:  f(3) = 9 + 6 - 5

4. Simplify the equation: f(3) = 12

5. Therefore, the output of the function is f(3) = 12.

To solve a given function, you must first determine the equation for the function. Then, you must substitute the given input into the equation and solve it. In this example, the given input was 3 and the equation for the function was f(x) = x2 + 2x - 5. After plugging in the input of 3, the equation was simplified to f(3) = 9 + 6 - 5, which was further simplified to f(3) = 12. Therefore, the output of the function is f(3) = 12.

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Answer:

do it

Step-by-step explanation:

Three possible solutions when solving a system of equation are: one solution, no solution, and infinite solutions.

The 3  possible solutions of a system of equations are:

- Unique or one solution

- Infinite solutions

- No solution

In case of   a system of linear equations, we can determine the type of its solution as follows:

- If the slopes are different, then their graphs will intercept in one point. Hence, the system of linear equation will have one solution.

-  If the slopes are the same but the equation of the lines are different, the lines are parallel, hence they will not intercept. Therefore, there is no solution.

- If the linear equations are exactly (or can be transformed to exactly) the same equations, the solution is infinite.

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Answer:

North 10 feet, and East 5 feet.

Step-by-step explanation:

So we know that North is ^ way. We also know that East is > way.

These are the two directions we must go, since the property line is both South and West of the shed.

The shed is 10ft East of the property line, and we must be 15ft in that direction. So we must go another 5ft East.

Now, the shed is 5ft North of the property line, and we must be 15ft in that direction. So we must go another 10 feet North.

Hope this helps!

Answer:

2

Step-by-step explanation:

Answer:

In mathematics, a rational number is a number such as −3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1. Therefore, 5 is a rational number

Step-by-step explanation:

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Answer:

SEE IMAGE FOR SOLUTION

Hope it helps

Have a great day

Answer:

cos(2x)

Step-by-step explanation:

To simplify the expression cos²x - sin²x, we can use the identity cos²x - sin²x = cos(2x).

This identity can be derived by using the double angle formula for cosine:

cos(2x) = cos(x + x) = cos(x)cos(x) - sin(x)sin(x) = cos²x - sin²x

Therefore, the expression cos²x - sin²x can be simplified to cos(2x).

The solution to the system of linear equations is (-8, -2).

NOTE: The problem that is solved here is, 'What is the solution to this system of linear equations? Y - x = 6, Y + x = -10'

The equations with two variables and the largest exponent order of 1 each have one, zero, or an infinite number of solutions, and are referred to as linear equations.

A linear equation with two variables has the conventional form ax + by + c = 0, where x and y are the variables.

Additionally, the answers can be expressed as ordered pairs, like as (x, y). The system of linear equations in two variables is graphically represented by two straight lines, which may intersect, be parallel, or be coincident.

y - x = 6 ----> y = x + 6

y + x = -10 -----> y = - x - 10

As both the equations in terms of y, we get

x + 6 = - x - 10

By further calculation

x + x = - 10 - 6

2x = - 16

Dividing both sides by 2

x = -8

Substituting the value of x in either of the equations

y - x = 6

y - (-8) = 6

So we get

y + 8 = 6

y = 6 - 8

y = - 2

Therefore, the solution to the system of linear equations is (-8, -2).

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Answer:

g(x)=2x^2

Step-by-step explanation:

Multiplying by a constant will stretch the graph as shown. The graph of g(x) appears to pass through (1,2), so g(x)=2x^2 is a reasonable guess (I can't see the answer choices).

joyce's painting rate in window frames per hour is 1.6 and her painting rate in hours per window frame 0.625.

A unit rate is a ratio between two separate units with one as the denominator. Examples include miles/hour, kilometers/hour, meters/sec, salaries/month, etc. The most fundamental and historically significant field of mathematics is arithmetic, which is also the one we use the most frequently in daily life.

Given, Joyce painted 8 window frames in 5 hours while earning money for college.

Her painting rate in window frames per hour is = 8 /5

Her painting rate in window frames per hour is = 1.6

Her painting rate in hours per window frame is = 5/8

Her painting rate in hours per window frame is = 0.625

therefore, The rate at which Joyce paints is 1.6 window frames per hour and 0.625 hours per window frame.

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The advantages of adding additional processors will decrease as more are added because some portions are always still sequential, and eventually the speedup approaches a limit.

The ratio of the compute time for the sequential method to the time for the parallel algorithm represents the speedup of a parallel algorithm over a matching sequential algorithm. n-fold speedup is what we refer to if the speedup factor is n. For instance, if a sequential approach needs 10 minutes to compute while a parallel algorithm needs just 2, then the speedup is 5 times.

The observed speedup is dependent on every aspect of the implementation. For instance, more processors frequently result in speedups that are greater; but, if other programmer are running on the processors concurrently with a programmer using a parallel technique, the speedup may be reduced by those other applications.

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Answer:

2 was not multiplied by 5

Step-by-step explanation:

2(x + 5) = 2x + 5

The correct expansion form distributive property should be :

2(x + 5) = 2*x + 2*5 = 2x + 10

2(x + 5) = 2x + 10

Answer:

107,564feet

Step-by-step explanation:

Area of a parallelogram = absin theta

a and b are the measure of its sides

theta is the angle between the sides

Substitute

Area of a parallelogram = 390*350sin52

Area of a parallelogram = 390 * 275.8037

Area of a parallelogram = 107,563.467sq. feet

Hence the area of the parallelogram to the nearest feet is 107,564feet

The value of DX for solving simultaneous equations 3x 2y =- 11 and 7x 4y 9 by Cramer's rule is -13/5.

The general formula for Cramer's rule is

DX = detX/detA

Where detX is the determinant of the matrix formed by replacing the x-column of the original matrix with the constant column vector, and detA is the determinant of the original matrix.

For the given equations,

A = [3, 2; 7, 4]

X = [-11; -9]

Therefore,

detA = 3*4 - 2*7 = -10

detX = 3*(-9) - 2*(-11) = 13

Hence, DX = detX/detA = 13/-10 = -13/5

The value of DX for solving simultaneous  

3x 2y =- 11 and 7x 4y 9 by Cramer's rule equation is -13/5.

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Answer:

62$

Step-by-step explanation:

Board in square meters = 2×1 = 2 m²

Cost per square meter = $31.00

Total cost = 31×2 = $62.00

Answer:

The cost of the chalkboard  is $27.74

Step-by-step explanation:

right!!

Answer:

For Option A, the function rule would be:

totalAmountEarned(days) = 100 + 10*days

For Option B, the function rule would be:

totalAmountEarned(days) = 2^days

Step-by-step explanation:

On solving the provided question, we can say that the function's value

[tex]limx→4+f(x)=6lim⁡x→4+f(x)=6[/tex]

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

function's value will be -

limx→4+f(x)

=6lim⁡x→4+f(x)

=6

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Complete question is: The table above gives values of the function fat selected values of [tex]$\mathrm{x}$[/tex]. Which of the following statements must be true?

[tex]$$\text { A } \lim _{x \rightarrow 2} f(x)=3$$[/tex]

[tex]$$B \lim _{x \rightarrow 2} f(x)=8$$[/tex]

[tex]C\ $\lim _{x \rightarrow 2} f(x)$ does not exist.[/tex]

[tex]D\ $\lim _{x \rightarrow 2} f(x)$[/tex] cannot be definitively determined from the data in the table.

Answer:

proper fraction

Step-by-step explanation:

if it was a mixed numebr an example: 1 4/8 If it was a imroper fraction an example: 12/8

Answer:

Proper fraction

Step-by-step explanation: