Can you please help me out

The reason that the point (3, 5) is not a solution to the given inequality is given below.

We are given that;

y > 2x + 1

Now,

The inequality y > 2x + 1 can be graphed by first graphing the boundary line y = 2x + 1. Since the inequality is strict (y >), we draw a dashed line to indicate that points on the line are not solutions to the inequality. Then, we shade the region above the line to indicate all points that satisfy the inequality.

If we have (3,5) as a point, we can see that it lies on the boundary line

y = 2x + 1.

Since the inequality is strict (y >), points on this line are not solutions to the inequality

Therefore, by the inequality the answer will be given above.

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Answer:

f(g(x))=2x-5

Step-by-step explanation:

f(g(x))=2(x-3)+1

The length of AE¯¯¯¯¯ is 5√2 cm.

Since quadrilateral ABCD is a square, all four sides are congruent. Let's denote the length of one side as s. Therefore, the length of BD¯¯¯¯¯ is equal to s.

Given that the length of BD¯¯¯¯¯ is 10 cm, we can conclude that s = 10 cm.

Now, we need to find the length of AE¯¯¯¯¯. Looking at the square, AE¯¯¯¯¯ is the diagonal connecting opposite corners.

In a square, the diagonal divides the square into two congruent right triangles. We can use the Pythagorean theorem to find the length of the diagonal.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the diagonal (the hypotenuse) is the same as the side length, s.

Applying the Pythagorean theorem:

s^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

10^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

100 = 2 * AE¯¯¯¯¯^2

AE¯¯¯¯¯^2 = 50

Taking the square root of both sides:

AE¯¯¯¯¯ = √50

Simplifying the square root:

AE¯¯¯¯¯ = √(25 * 2) = 5√2 cm

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Answer:

six eighths

Step-by-step explanation:

There are 2 vowels and 6 consonants in MATHCLUB, so the probability of randomly drawing a consonant would be 6/8 (or 3/4 simplified).

Answer:

32 × 3

96 squares..........................

Answer:

\(\displaystyle \frac{75}{2}\) or \(37.5\)

Step-by-step explanation:

We can answer this problem geometrically:

\(\displaystyle \int^6_{-4}f(x)\,dx=\int^1_{-4}f(x)\,dx+\int^3_1f(x)\,dx+\int^6_3f(x)\,dx\\\\\int^6_{-4}f(x)\,dx=(5*5)+\frac{1}{2}(2*5)+\frac{1}{2}(3*5)\\\\\int^6_{-4}f(x)\,dx=25+5+7.5\\\\\int^6_{-4}f(x)\,dx=37.5=\frac{75}{2}\)

Notice that we found the area of the rectangular region between -4 and 1, and then the two triangular areas from 1 to 3 and 3 to 6. We then found the sum of these areas to get the total area under the curve of f(x) from -4 to 6.

Answer:

\(\dfrac{75}{2}\)

Step-by-step explanation:

The value of a definite integral represents the area between the x-axis and the graph of the function you’re integrating between two limits.

\(\boxed{\begin{minipage}{8.5 cm}\underline{De\:\!finite integration}\\\\$\displaystyle \int^b_a f(x)\:\:\text{d}x$\\\\\\where $a$ is the lower limit and $b$ is the upper limit.\\\end{minipage}}\)

The given definite integral is:

\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x\)

This means we need to find the area between the x-axis and the function between the limits x = -4 and x = 6.

Notice that the function touches the x-axis at x = 3.

Therefore, we can separate the integral into two areas and add them together:

\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x=\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\)

The area between the x-axis and the function between the limits x = -4 and x = 3 is a trapezoid with bases of 5 and 7 units, and a height of 5 units.

The area between the x-axis and the function between the limits x = 3 and x = 6 is a triangle with base of 3 units and height of 5 units.

Using the formulas for the area of a trapezoid and the area of a triangle, the definite integral can be calculated as follows:

\(\begin{aligned}\displaystyle \int^6_{-4} f(x)\; \;\text{d}x & =\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\\\\& =\dfrac{1}{2}(5+7)(5)+\dfrac{1}{2}(3)(5)\\\\& =30+\dfrac{15}{2}\\\\& =\dfrac{75}{2}\end{aligned}\)

Answer:

Terminal side in 2nd Quadrant

Only sin(x) & cosec(x) are positive in 2nd Quadrant

\( \sin( x ) = \frac{5}{13} \\ \)

Perpendicular=5

Base=√(13²-5²)=√(169-25)=√144=√12²=12

Hypotenuse=13

\( \cos(x)= - \frac{12}{13} \\ \tan(x) = - \frac{5}{12} \\ \cosec(x) = \frac{13}{5} \\ \sec(x)= - \frac{13}{12} \\\cot(x) = - \frac{12}{5} \)

Answer:

7640

Step-by-step explanation:

You get this answer because 642 is closer to 640 than 650

Answer:

8m-38

Step-by-step explanation:

6(2m-1)-4(m+8)

12m-6-4m-32

12m-4m-6-32

8m-6-32

8m-38

The sum of the sequence based on the function Sn = ( -1 )n + 1 will be -6.

The formula for finding the nth term in an arithmetic sequence given as:

= a + (n - 1)d

Here, Sn is given as ( -1 )n + 1. This is used to illustrate the sum in the sequence. Based on the function given, let's assume that n = 5. Therefore, the 5th term will be:

= (-1)n + 1

= (-1)5 + 1

= (-1)6

= -6

Here is the complete question:

Find the 5th term of a sequence given the function Sn = ( -1 )n + 1.

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Answer:

\(f(x)=32(1.3)^x\)

Step-by-step explanation:

Here, the growth factor is 1.3 since 32(1.3)=41.6, 41.6(1.3)=54.08, and so on.

Therefore, the function that represents the table is \(f(x)=32(1.3)^x\)

Answer:

v = 3

Step-by-step explanation:

Distribute

3 ( 2v + 5 ) = 33

6v + 15 = 33

Subtract 15 from both sides of the equation

6v + 15-15 = 33-15

Simplify

6v = 18

Divide both sides of the equation by the same term

6v/6 = 18/6

Simplify

v = 3

Hence, v =3.

[RevyBreeze]

The expression that represents the monthly change in Kevin's bank account is $2,300 - $7.50 = $2,292.50

In one year, which has 12 months, the bank deducts a total of $90 in fees. To find the monthly change in Kevin's bank account, we need to divide this total by 12:

Monthly service fee = $90 / 12 = $7.50

Kevin's paycheck is deposited twice each month, so his total monthly income from his paychecks is:

Monthly income = 2 * $1,150 = $2,300

Therefore, Kevin's monthly change in his bank account is:

Monthly change = Monthly income - Monthly service fee

Monthly change = $2,300 - $7.50 = $2,292.50

So the expression that represents the monthly change in Kevin's bank account is $2,300 - $7.50 = $2,292.50

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The expression that describe the end behavior of the expression f(x)= (3.25)^x + 6 is The curve begins infinitely close to the line y equals 6 in the second quadrant.

The behavior of the graph of a function at its "ends" on the x-axis is referred to as the end behavior of a function, f.

For example, if we look at the right end of the x-axis (as x approaches + ∞) and the left end of the x-axis (as x approaches - ∞), the end behavior of a function explains the trend of the graph.

The graph of the function is attached and from the graph it shows that the graph continued to tend towards towards line y = 6

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Given the following question:

Data plan A

Monthly fee of 52$

$18 per gigabyte

$70 in total for the monthly fee and the 18 dollar gigabyte

Data plan B

Monthly fee of $32

$22 per gigabyte

$54 in total for the monthly fee and the 22 dollar gigabyte

54 + 22 = 76

We want the two phones to be equal in cost so we have to keep adding both in till we have our answer.

70 + 18 = 88

88 + 18 = 106

...

76 + 22 = 98

98 + 22 = 120

...

106 + 18 = 124

124 + 18 = 142

...

120 + 22 = 142

So for the GB data charge to be the same we need 4, $22 of GB for plan B, and 5, $18 GB of plan A.

The values of the trigonometry functions are sin(θ) = 3/√13, cos(θ) = 2/√13, tan(θ) = 3/2, csc(θ) = √13/3, sec(θ) = √13/2 and cot(θ) = 2/3

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

The right triangle

The hypotenuse of the right triangle is calculated as

h² = 2² + 3²

When evaluated, we have

h = √13

The values of the trigonometry functions are then evaluated as

sin(θ) = 3/√13

cos(θ) = 2/√13

tan(θ) = 3/2

csc(θ) = √13/3

sec(θ) = √13/2

cot(θ) = 2/3

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Answer:

108

Step-by-step explanation:

Answer:

3/4 cm

Step-by-step explanation:

Answer: C

Step-by-step explanation:

I think it’s C

Beth earns $21.25 for both the jobs by working 36 hours at one job and 12 hours at another job

Addition: Addition is a way of combining things and counting them together as one large group. Addition in math is a process of combining two or more numbers. Addends are the numbers added, and the result or the final answer we get after the process is called the sum

Given that, Beth has 2 jobs and at her first job she earns $12.25 and worked 36 hours. At her second job, she earns $9.00 per hour and worked 12 hours

Her earnings for both the jobs is addition of her salary gives the answer

on adding $12.25+$9.00 = $21.25

She earns  $21.25 for both the jobs by working 36 hours at one job and 12 hours at another job

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Answer:

1 < a < 2

Step-by-step explanation:

8 < 2 (a+3) <10

8 < 2a+6 < 10 (Simplify all parts of the inequality)

8+ −6 < 2a +6+ −6 < 10+ −6 (Add -6 to all parts)

2 < 2a < 4

2/2 < 2a/2 < 4/2 (Divide all parts by 2)

=1 < a < 2

The mean of the number of hours worked by employees, if The number of hours five employees worked at a store is 14, 23, 26, 40, 26, is 25.8.

Mean is a measurement of a probability distribution's central tendency along the median and mode. It also goes by the name "anticipated value." In mathematical terms, it is the division of the sum of all the numbers by total numbers.

Given:

The number of hours five employees worked at a store = 14, 23, 26, 40, 26

Calculate the mean as shown below,

Mean = Sum of all the working hours by employees / Number of employees

Mean = (14 + 23 + 26 + 40 + 26) / 5

Mean = 129 / 5

Mean = 25.8

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From the passage that Helen was blind thus she was unable to see water and could only know it via a sensation on her hands.

Hellen Keller was one of the educators in America. Her influence was of importance because she was both blind and deaf. Thus, her memoir chronicles the details of the challenges that one faces when trying to educate a physically challenged child.

As such, we can see from the passage that Helen was blind thus she was unable to see water and could only know it via a sensation on her hands.

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From the passage that Helen was blind thus she was unable to see water and could only know it via a sensation on her hands.

Who is Helen Keller?

Hellen Keller was one of the educators in America. Her influence was of importance because she was both blind and deaf. Thus, her memoir chronicles the details of the challenges that one faces when trying to educate a physically challenged child.

As such, we can see from the passage that Helen was blind thus she was unable to see water and could only know it via a sensation on her hands.

The percentage of the data values are between 110 and 170 = 37.5%

We know that in the box plot, the first quartile is nothing but 25% from smallest to largest of data values.

The second quartile is nothing but between 25.1% and 50% (i.e., till median)

The third quartile: 51% to 75% (above the median)

And the fourth quartile: 25% of largest numbers.

In the attached box plot, we can observe that between two numbers on the number line there are 5 equal parts.

So, each unit length measures 10 units.

Also, the median of the data = 110

We need to find the percentage of the data values are between 110 and 170.

i.e., the percentage of the data values are in the third quartile.

The range of this box plot is: 190 - 30 = 160

The data values are between 110 and 170 = 60

Using percentage formula,

P = (60/160) × 100

P = 37.5%

This is the required percentage.

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Find the complete question below.

Answer:

12x

Step-by-step explanation:

3x + 4x + 5x

7x + 5x

12x

Answer:

The temperature has to be inversely proportional to the time therefore the solution will be:

60minutes/200degrees=x/350degrees

200x/200=21000/200

x=105minutes

I hope this helps

Answer:

105 minutes.

Step-by-step explanation:

As 200 degrees is less than 350 it will take longer at 200.

By proportion that would be (350/200) * 60

= 60 * 7/4

= 105 minutes.

Answer:

∠ AEB = 114°

Step-by-step explanation:

the chord- chord angle AEB is half the sum of the measures of the arcs intercepted by the angle and its vertical angle , that is

∠ AEB = \(\frac{1}{2}\) (AB + CD) = \(\frac{1}{2}\) (140 + 88)° = \(\frac{1}{2}\) × 228° = 114°

The linear model for the cost, \(C\), of waste collection as a function of the number of kilograms, \(w\) is  \(C = 4w +70\) .

Given,

The monthly charge for a waste collection service for 100 kg of waste = $470

so, \((x_{1} , y_{1} ) = (100, 470)\)

The monthly charge for a waste collection service for 175 kg of waste = $770

so, \((x_{2} , y_{2} ) = (175, 770)\)

In this question, We are supposed to find a linear model for the cost, C, of waste collection as a function of the number of kilograms, w.

So, we will use two point slope form :

\(y - y_{1} = \frac{y_{2} - y_{1} }{x_{2}- x_{1} } (x-x_{1} )\)

Substitute the values:

\(y - 470 = \frac{770- 470 }{175- 100 } (x-100)\)

\(y - 470 = \frac{300 }{75} (x-100)\)

\(y - 470 = 4 (x-100)\)

\(y - 470 = 4x-400\)

\(y = 4x +70\)

Now, replace \(y\) with C and \(x\) with w

\(C\) \(= 4w +70\)

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Answer:

no

Step-by-step explanation:

Answer:

so the answer is no

Step-by-step explanation:

To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as illustrated below:

3/8 = 0.375

1/2 = 0.5

Then, we compare the two decimal numbers to get the answer.

0.375 is not greater than 0.5.

Therefore, 3/8 is not greater than 1/2 and the answer to the question "Is 3/8 greater than 1/2?" is no.

The inequality that represents the number of each type of calculator she can buy will be 25x + 65y ≤ 800

Given that teacher needs to purchase some scientific calculators for $25 each and some graphing calculators for $65 each.

Consider that x equal the number of scientific calculators and y equal the number of graphing calculators she buys She can only spend up to $800 for the calculators.

The inequality that represents the situation becomes as;

25x + 65y ≤ 800

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