-30 < x/-4. Solve for x​

Step-by-step explanation:

Horizontal it is 4

Vertical it is 2

Use of Pythagoras theorem to find AB

AB= root of 4^2 + 2^2

= 4.47

The points= (3,2) and (7,5)

Distance =

\( \sqrt{ ({x}^{2} - x {}^{1} ) {}^{2} + ({ y}^{2} - y {}^{1} ) {}^{2} } \)

=

\( \sqrt({4} - 9) {}^{2} + (5 - 7) {}^{2} \)

=

\( \sqrt{25 + 4} \)

=

\( \sqrt{29} \)

\(5.39\)

5.39 is the answer

Ans4863

Step-by-step explanation:

The graphing form of the function g(x) is: C) none of the answer choices.

The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.

Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:

a = 1 (coefficient of x^2)

b = 4 (coefficient of x)

c = -7 (constant term)

Therefore, the graphing form of the function g(x) is:

C) none of the answer choices

None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.

In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.

The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C

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3 is it even.

10 is even.

Answer:

  (a)  twenty-eight ninths, square root of nineteen, cube root of eighty-eight

Step-by-step explanation:

When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.

The attachment shows the ordering, least to greatest, to be ...

  \(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)

__

Additional comment

We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.

One way to do the comparison is to convert these to values that need to have the same root:

  √19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)

  ∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)

The roots will have the same ordering as 19³ and 88².

Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...

  19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859

  88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744

Then the ordering is ...

  28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Answer:

the ordering is

28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Step-by-step explanation:

Answer:

  € 1125

Step-by-step explanation:

Data :

   $  = 1500

   €  =  ?

And    1$ = 0.75€

So  

        1500 × 0.75 = 1125

Mark brainliest if you understand

c. $1,293.40 is the Santos's monthly Social Security benefit, after delaying collecting for 2 years.

If Santos delays collecting his Social Security benefits for 2 years, he will be eligible for delayed retirement credits. The amount of the increase depends on his birth year and the specific rules in place at the time. As of my knowledge cutoff in September 2021, for individuals born in 1943 or later, the delayed retirement credit is 8% per year for each year of delay beyond full retirement age.

Assuming Santos's original benefit at full retirement age was $1,115.00, we can calculate the increase after a 2-year delay:

Increase = Original Benefit * (Delayed Retirement Credits per year * Number of years of delay)

Increase = $1,115.00 * (0.08 * 2)

Increase = $1,115.00 * 0.16

Increase = $178.40

To calculate Santos's monthly Social Security benefit after the 2-year delay, we add the increase to his original benefit:

New Benefit = Original Benefit + Increase

New Benefit = $1,115.00 + $178.40

New Benefit = $1,293.40

Santos's monthly Social Security benefit, after delaying collecting for 2 years, would be approximately $1,293.40. Therefore, Option c is correct.

The question was incomplete. find the full content below:

Calculate Santos's monthly Social Security benefit if he delays collecting for 2 years and his original benefit at full retirement age was $1,115.00.

a. $1,156.90

b. $1,209.35

c. $1,293.40

d. $1,315.50

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Answer:

558 dollars

Step-by-step explanation:

Total charge = 630 + 960 = 1590 dollars

   he pays 300 deductible  

      now the charge balance is 1590 -300 = 1290 dollars

            then he must pay 20 % of this (insurance pays 80%)

                 so total to pay is $ 300 + .20 (1290) = $558

Answer:

below

Step-by-step explanation:

15r kg therefore it would be 15r/5people

3r kg for each person

Answer:

-5 9/40

Step-by-step explanation:

Answer:

D. y = -3x

Step-by-step explanation:

Firstly, find the coordinates:

(1, -3) and (2, -6)

Just from looking at these, you can tell that the y coordinate is multiplied by negative 3 but to find it using an equation, you can use the slope formula:

\(\frac{y2 - y1}{x2 - x1}\)

Where x1 and y1 is the first set of coordinates and x2 and y2 is the second set. Simply plug the variables in:

\(\frac{-6 - -3}{2 - 1}\)

\(\frac{-6 + 3}{1}\)

\(\frac{-3}{1} = -3\)

So the correct answer would be d.

Hope this helps!

Answer: Her sister has five dollars.

Step-by-step explanation:

15 = 3x

15/3 = 5

= 5

Answer:

π(5²)(13)+⅓π(5²)(12)

Step-by-step explanation:

You can find the volume of the cylinder by:

V=πr²h

which is V1=π(5²)(13)

and the volume of the crooked cone by:

⅓πr²h

which is V2=⅓π(5²)(12)

and you need the volume of the whole shape. you can find by adding V1+V2

Answer:

-The total area of a Rectangular Prism:

\(A = 366\) \(in^{2}\)

Step-by-step explanation:

-To find the total area of a rectangular prism, you need this formula:

\(A = 2(l \cdot w + l \cdot h + w \cdot h)\)

\(l =\) Length

\(w =\) Width

\(h =\) Height

-Apply the length, width and height for the formula:

\(A = 2(11 \cdot 8 + 11 \cdot 5 + 8 \cdot 5)\)

\(l =\) 11 in

\(w =\) 8 in

\(h =\) 5 in

-Then, solve for the area:

\(A = 2(11 \cdot 8 + 11 \cdot 5 + 8 \cdot 5)\)

\(A = 2(88 + 55 + 40)\)

\(A = 2(143 + 40)\)

\(A = 2 \times 183\)

\(A = 366\)

So, the total area would be \(366\) \(in ^{2}\).

The number of minutes to read is 6.25 pages and taking the test will be 5 minutes and 0.50 minutes, respectively.

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

It takes you 0.8 of a minute to read each page of your health book. It takes you 5.5 minutes to take the test at the end.

The number of minutes to read 6.25 pages will be given as,

⇒ 6.25 x 0.8

⇒ 5 minutes

The number of minutes to take the test will be given as,

⇒ 5.5 - 5

⇒ 0.50 minute

⇒ 0.50 x 60

⇒ 30 seconds

The number of minutes to read is 6.25 pages and taking the test will be 5 minutes and 0.50 minutes, respectively.

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Answer:

2.6 miles

Step-by-step explanation:

Saturday = a = 4 miles

Sunday = a - 35%a = 0.65a = 0.65 x 4 = 2.6 miles

Answer: The percentage of people surveyed who liked blue cars is 50%.

Step-by-step explanation:

Total number of people partaking in survey= 36

number of people who like blue cars= 18

therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)

hence, percentage of people who liked blue cars= (18/36)*100 %

                                                                                  = 50%  

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Answer:

Percentage of people who like blue-coloured cars is 50%

Number of people who were surveyed=36

Number of people who like blue-colored cars=18

Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100

=(18/36)*100

=50%

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well if adding -3/28

if subtracting 1 17/28

if multiplying -19/14

alnd if dividing -7/8

3/5 or 60% of the grass died because the sprinkler could only water 1/5 of the yard.

Let's start by breaking down the information given:

- Three-fourths of the yard is covered with grass.

- One-fourth of the yard is used as a garden.

- The sprinkler could only water 1/5 of the yard.

To find out how much of the grass died, we need to determine the portion of the grass that was not watered by the sprinkler.

Let's assume the total area of the yard is represented by the value 1. Therefore, we can calculate the area of the grass as 3/4 of the total yard, which is (3/4) * 1 = 3/4.

The sprinkler can only water 1/5 of the yard, so the portion of the grass that was watered is (1/5) * (3/4) = 3/20.

To find the portion of the grass that died, we subtract the watered portion from the total grass area:

Portion of grass that died = (3/4) - (3/20) = 15/20 - 3/20 = 12/20.

Simplifying, we get:

Portion of grass that died = 3/5.

Therefore, 3/5 or 60% of the grass died because the sprinkler could only water 1/5 of the yard.

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Answer:

7/10, 6/10, or 5/10

Step-by-step explanation:

So, first, we change 4/5 into tenths. That equals 8/10. 3/10 and 8/10.

Answer:

NO. It does not represent y is a function of x.

Step-by-step explanation:

For a given table of values to be considered as representing a function, every domain value (x-value) must have exactly one range value (y-value). This implies that a function cannot have two y-values assigned it mapped to the same x-value.

Therefore, the table of values given does not represent a function because the x-value, 3.45 has two y-values, 1.72 and 3.36, assigned or mapped to it.

The purpose of data is to provide information and insights that can be used to make informed decisions, draw conclusions, and gain knowledge about a particular subject or phenomenon.

Data plays a crucial role in various fields, including science, business, research, healthcare, and everyday life.One primary purpose of data is to describe and understand the world around us.

By collecting and analyzing data, we can identify patterns, trends, and relationships that exist within a dataset. This helps us gain a deeper understanding of complex systems and phenomena.

For example, in scientific research, data is used to study the behavior of natural processes, investigate the effects of interventions, and formulate theories and models.

Data also serves as a foundation for making informed decisions. By examining relevant data, individuals and organizations can assess the potential outcomes of different choices and select the most optimal course of action.

Data-driven decision-making enables organizations to improve efficiency, identify opportunities, mitigate risks, and enhance overall performance. In fields like marketing and finance, data is extensively used for market research, customer segmentation, trend analysis, and financial forecasting.

Furthermore, data is crucial for monitoring and evaluating performance. By collecting data over time, organizations can track progress, measure outcomes, and identify areas for improvement. Data-driven monitoring allows for evidence-based assessments and adjustments to strategies or interventions.

Overall, the purpose of data is to provide reliable information that can be used to enhance understanding, support decision-making, and drive progress in various domains. It empowers individuals and organizations with the ability to derive insights, solve problems, and make meaningful contributions to society.

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Answer:

Step-byHow do I calculate the mean?

The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of value

-step explanation:

46+57+66+63+49+52+61+68= 462/8 the total number of observation

the answer 57

Answer:

-5/3

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -3 -7)/(6-0)

   = -10 / 6

   = -5/3

Complete Question

The complete question is shown on the first uploaded image

Answer:

Yes  the test  suggest that the true average percentage of organic matter in such soil is something other than 3%

Step-by-step explanation:

From the question we are told that

  The  sample mean is  \(\= x = 2.482\%\)

  The  standard deviation is \(\sigma = 1.614\)

   The  standard error is \(SE = 0.295\)

     The  sample size is \(n = 30\)

   The  level of significance is  \(\alpha = 0.05\)

  The  null hypothesis is \(H_o : \mu = 3\%\)

   The  alternative hypothesis is  \(H_a : \mu \ne 3\%\)

Now  the degree of freedom is evaluated as

       \(df = n - 1\)

       \(df = 30 - 1\)

       \(df = 29\)

The test statistics is mathematically evaluated as

         \(t = \frac{ 2.482 - 3}{ 0.295}\)

         \(t = -1.756\)

The p-value is obtained from the the student t -distribution table , the value is  

        \(p-value = P( T \le t)= 2 * t_{ t, df } = t_{ -1.756 , 29 } = 2 *0.0448= 0.0896\)

The reason for the 2 in the equation is because the test is a two -tailed test i.e  -1.756 and  1.756

Given that the \(p-value > \alpha\) then we fail to reject the null hypothesis

Hence the test the suggest that the true average percentage of organic matter in such soil is something other than 3%

Answer:

Yes

Step-by-step explanation:

To know if a table is a function or not, we have to see if 1 input only has 1 output.

Looking at the table each input only has 1 output, so it is a function.

The algebraic solution for the variable x is as follows:

The equation is represented as follows;

2 / 5 (2 - x) = - 1 / 3 x + 1 / 2

open the bracket on the left side

2 / 5 (2 - x) = - 1 / 3 x + 1 / 2

4 / 5  - 2x / 5 = - 1 / 3 x + 1 / 2

Add 1  /3 x to both sides

4 / 5  - 2x / 5 = - 1 / 3 x + 1 / 2

4 / 5  - 2x / 5 + 1 / 3 x  = - 1 / 3 x + 1 / 3 x  + 1 / 2

4 / 5 + 1 / 3 x - 2 / 5 x = 1 / 2

4 / 5 + 5x - 6x / 15 = 1 / 2

4  / 5  - x / 15 = 1 / 2

subtract 4 / 5 from both sides

4  / 5 - 4 / 5  - x / 15 = 1 / 2 - 4 / 5

- x / 15 = 5 - 8 / 10

- x / 15 = - 3 / 10

cross multiply

- x / 15 = - 3 / 10

-10x = - 45

divide both sides by -10

x = 45  /10

x = 9 / 2

Therefore, the algebraic solution for the variable x is 9 / 2.

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The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

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There are 3,125 different places to sit if they don't mind sharing s desk sometimes and there are 120 different places to sit, if they all sit on separate tables.

It is a branch of mathematics that deals with the occurrence of a random event.

Given that there are five different tables in the class and five students

Each table can be occupied by only one student

There are 200 days of studying years.

As a small prank on their teacher students would like to sit in a new way every day, so there are no two days during their studying year such that all students are occupying the same tables.

5×4×3×2×1 = 120

There are 120 different places to sit, if they all sit on separate tables.

5×5×5×5×5 = 3,125

There are 3,125 different places to sit if they don't mind sharing s desk sometimes.

Hence, there are 120 different places to sit, if they all sit on separate tables and there are 3,125 different places to sit if they don't mind sharing s desk sometimes.

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Answer:

d

Step-by-step explanation:

The explicit rule for this sequence in simplified form is,

⇒ \(a_{n}\) = 500n + 30,000

Where, n is number of months.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Mr. Red's first year salary is $30,000 and it increases by $500 each year.

Now, Let number of months = n

We can formulate explicit rule for this sequence in simplified form as,

⇒ \(a_{n}\) = 500n + 30,000

Therefore, The explicit rule for this sequence in simplified form is,

⇒ \(a_{n}\) = 500n + 30,000

Where, n is number of months.

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