What is -5-(-7)
can you help me I need help thx

The point on the line y = 2x + 3 which is closest to origin is (-6/5, 3/5).

In order to find the point on line y = 2x + 3 that is closest to the origin, we  minimize the distance between the origin (0, 0) and a point (x, y) on the line.

The distance between two points (x₁, y₁) and (x₂, y₂) is given by the distance formula : d = √(x₂ - x₁)² + (y₂ - y₁)²,

In this case, one point is the origin (0, 0) and other point is (x, 2x + 3) on the line y = 2x + 3.

We can write , d = √(x - 0)² + ((2x + 3) - 0)²,

= √(x² + (2x + 3)²)

= √(x² + 4x² + 12x + 9)

= √(5x² + 12x + 9)

To minimize the distance, we minimize square of distance, which is equivalent. So, we minimize the square of distance,

d² = 5x² + 12x + 9

To find the minimum-point, we take derivative of d² with respect to x and equate to 0,

d²/dx = 10x + 12 = 0

Solving this equation,

We get,

10x + 12 = 0

10x = -12

x = -12/10

x = -6/5

Now, we substitute value of "x" in equation y = 2x + 3 to find the corresponding y-coordinate,

y = 2(-6/5) + 3

y = -12/5 + 15/5

y = 3/5.

Therefore, the closest point is (-6/5, 3/5).

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The given question is incomplete, the complete question is

Find the point on the line y = 2x + 3 that is closest to the origin.

Step-by-step explanation:

By the geometric mean theorem,

12/9 = 9/x

-> x=81/12 = 27/4

Then by the Pythagorean theorem,

y=sqrt(9^2 + (27/4)^2), which you can probably calculate yourself.

Answer:

116

Step-by-step explanation:

64+64 =128

360-128= 232

232÷2=116

Answer: 92

Step-by-step explanation:

Formula : Sum of first n numbers = Average x n

Given: Average score on first 6 tests= 84

A score on all 8 tests = 86

Then, Sum of first 6 numbers = 84 x 6 = 504

Sum of first 8 numbers = 86 x 8 = 688

Sum of two last numbers = (Sum of first 8 numbers) - (Sum of first 6 numbers)

= 688-504

=184

Average of last two numbers = (Sum of two last numbers )÷2

= 184÷2

= 92

Hence,  the average of your last two test scores = 92.

Answer:

range = 7

Step-by-step explanation:

the range is the difference between the maximum and minimum values in the data set.

maximum value = 10 , and minimum value = 3 , then

range = 10 - 3 = 7

The range is:

Solution:

The range is the difference between the largest and smallest number.

The largest number is 10.

The smallest number is 3.

Their difference is 10 - 3 = 7.

\(\bigstar\) Additional information

(-5, 8)

=========================================================

These are two rules to memorize

\(\text{x-axis reflection: } \ \ (\text{x},\text{y})\to (\text{x},-\text{y})\\\\\text{y-axis reflection: } \ \ (\text{x},\text{y})\to (-\text{x},\text{y})\\\\\)

----------

I'll relabel the point X as point A.

We apply a y-axis reflection first.

So we have:

\((\text{x},\text{y})\to (-\text{x},\text{y})\\\\(5,-8)\to (-5,-8)\\\\\)

after the y axis reflection is applied.

This is the location of point A'

----------

Then we apply an x-axis reflection.

\((\text{x},\text{y})\to (\text{x},-\text{y})\\\\(-5,-8)\to (-5,-(-8))\\\\(-5,-8)\to \boldsymbol{(-5,8)}\\\\\)

This is the location of point A''

which points us to choice C as the final answer.

----------

Side note:

The composition of an x-axis reflection and y-axis reflection, in either order, is the same as a 180 degree rotation around the origin.

The rule for a 180 degree rotation is \((\text{x},\text{y})\to (-\text{x},-\text{y})\\\\\)

Answer:

D

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exact value

tan60° = \(\sqrt{3}\) , then

tan60° = \(\frac{opposite}{adjacent}\) = \(\frac{x}{6}\) = \(\sqrt{3}\) ( multiply both sides by 6 )

x = 6\(\sqrt{3}\) → D

Answer:

-52/7

Step-by-step explanation:

Dont care just do it or check it

Answer:

8

Step-by-step explanation:

Let the number be n

6*n = 16 + 4*n

6n = 16 + 4n

6n - 4n = 16

2n = 16

2n/2 = 16/2

n = 8

Answer:

153, 9

Step-by-step explanation:

multiply and 7 and 9

The cost function is  \(C(x)=\) \(\left \{ {{35} \atop {(0.1t-5)}} \right.\) .

The application of the idea of kinds of functions is the foundation of this issue. We will create and classify the sort of function we have using the provided information.

According to the given information, the cell phone plan has a basic charge of $45 a month. The plan includes 500 free minutes and charges 10 cents for each additional minute of usage.

Let t be the number of minutes the cell phone is used.

So, for 0≤t≤500 it will cost only the basic charge of $45.00

For an additional minute of usage, it costs 10 cents or $0.1 in addition to the basic charge. So, our function looks like:

f(x)=45+0.1(t-500)=45+0.1t-50 = (0.1t-5), for 500 ≤ t ≤ 700.

Thus, the cost function looks like:

C(x) = \(\left \{ {{35} \atop {(0.1t-5)}} \right.\)

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Answer:

P= 20x+2 ft

Step-by-step explanation:

________

I                I

I                I       3x + 7ft

________

7x - 6ft

P= (7x - 6 + 7x - 6) + (3x + 7 + 3x + 7)

 = (14x - 12) + (6x + 14)

 = 20x + 2 ft

The finite correction factor should be used in the computation of the standard deviation of the sample mean and the standard population when n/N is less than 0.05. The correct option is less than 0.05.

The finite correction factor is a statistical adjustment that is applied when the sample size (n) is relatively small compared to the population size (N).

When n/N is less than 0.05, it indicates that the sample size is significantly smaller than the population size, and the finite correction factor helps to account for the potential bias that can arise from this imbalance.

By applying the correction factor, the standard deviation of the sample mean and the standard deviation of the population are adjusted to provide more accurate estimates of the true variability in the data.

This correction is necessary to ensure the validity of statistical inferences and to account for potential errors in estimation.

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Answer:

3x=152

Step-by-step explanation:

You know that there are 152 animals intotal so that goes at the end. if we say that the dogs are x because we dont know how many there are, then there are 3 times more cats then there are x.

El valor que satisface D es 188.

El modelo matemático será así:

D/d = 12(resto 8)

si escribimos 8 como resto de D, entonces:

(D-8) /d=12

D-8= 12d o se puede escribir D= 12d+8

luego sustituya D= 12d+8 por D+d= 203

D+d= 203

(12d +8) +d= 203

13d= 203-8

13d= 195

re=15

sustituir d=15 en D+d= 203

D+d= 203

D+15=203

D=203-15

D=188

El modelo matemático es una forma de interpretación humana al traducir o formular problemas existentes en forma matemática, de modo que el problema pueda resolverse utilizando las matemáticas.

El uso principal de los modelos matemáticos es ayudar a las personas a comprender los problemas y simplificarlos para que puedan resolverse.

, los siguientes son algunos de los usos que se obtienen al utilizar un modelo matemático, a saber:

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Answer:

i think it's:: -6 11/21

Answer:

-6 11/21

Step-by-step explanation:

The area of the trapezoid is 140√3 square inches, in simplest radical form.

To find the area of a trapezoid, we can use the formula:

Area = (1/2) * (a + b) * h,

where "a" and "b" are the lengths of the parallel sides and "h" is the height of the trapezoid.

In this case, the lengths of the parallel sides are 20 + 6 = 26 inches and 14 inches, and the height of the trapezoid is not given. However, we can find the height by using the given angle of 60 degrees.

To find the height, we can draw a perpendicular line from one of the parallel sides to the other, forming a right triangle. The given angle of 60 degrees is opposite the side with length 14 inches. Using trigonometry, we can determine the height:

height = 14 * sin(60) = 14 * (√3/2) = 7√3 inches.

Now we can substitute the values into the area formula:

Area = (1/2) * (26 + 14) * (7√3)

= (1/2) * 40 * (7√3)

= 20 * (7√3)

= 140√3 square inches.

Therefore, the area of the trapezoid is 140√3 square inches, in simplest radical form.

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The bearing P should keep to pass B at 4 miles distance is S64°51' W and the distance from M to Q is 17.4 km.

1. To find the bearing P should keep to pass B at 4 miles distance, we can use the formula for finding the bearing between two points.

This formula is based on the Law of Cosines and is given by:

θ = arccos (a² + b² - c²)/2ab

Where a, b, and c are the side lengths of the triangle formed by A, B, and P, and θ is the bearing from A to B.

In this case we have:

a = 4 miles (distance between P and B)

b = 4 miles (distance between C and B)

c = √(8² + 4²) = 6.32 miles (distance between P and C)

Substituting these values in the formula, we get:

θ = arccos (4² + 4² - 6²)/2×(4×4)

θ = arccos(-2.32)/32

θ = S64°51' W

2. To find the bearing the lighthouse keeper should radio the boat to take to come ashore 4 miles south of the lighthouse, we can use the formula for finding the bearing between two points.

This formula is based on the Law of Cosines and is given by:

θ = arccos (a² + b² - c²)/2ab

Where a, b, and c are the side lengths of the triangle formed by A, B, and P, and θ is the bearing from A to B.

In this case we have:

a = 4 miles (distance between lighthouse and P)

b = 18 miles (distance between lighthouse and boat)

c = √(18² + 4²) = 18.24 miles (distance between boat and P)

Substituting these values in the formula, we get:

θ = arccos (42 + 182 - 182.24)/2×(4×18)

θ = arccos(140.76)/72

θ = S87.2°E

3. To find the distance from M to Q, we can use the formula for finding the distance between two points using the Pythagorean Theorem. This formula is given by:

d = √((x2 - x1)² + (y2 - y1)²

Where x1 and y1 are the coordinates of point M, and x2 and y2 are the coordinates of point Q.

In this case, we have:

x1 = 0 km

y1 = 0 km

x2 = 7 km + 8 km + 6 km = 21 km

y2 = 22°15’ + 68°30’ + 109°15’ = 199°60’

Substituting these values in the formula, we get:

d = √((212 - 02)² + (199°60’ - 00)²

d = √(441 + 199.77)

d = 17.4 km

Therefore, the bearing P should keep to pass B at 4 miles distance is S64°51' W and the distance from M to Q is 17.4 km.

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The addition of the polynomial \(x^{3}+3xy-2xy^{2} +y^{3}\) with \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\) is  \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\).

What is a polynomial?

⇒ A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

⇒ In the addition of polynomials, the like terms are added while in subtraction, the like terms are subtracted.

Calculation;

We have been given two polynomial which we have to add   \(x^{3}+3xy-2xy^{2} +y^{3}\) and \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\)

The sign after addition or subtraction will always be of the variable having more value.

\((x^{3}+3xy-2xy^{2} +y^{3} )+(2x^{3}-5x^{2} y-3xy^{2}-2y^{3})\)

On adding like terms with each other

⇒ \((x^{3} +2x^{3})+ 3xy-5x^{2} y-(2xy^{2}+3xy^{2})+(y^{3}-2x^{3})\)

⇒ \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\)

Hence the addition of the polynomial\(x^{3}+3xy-2xy^{2} +y^{3}\) and \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\) is \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\).

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Answer:

y=2x-2

Step-by-step explanation:

my work is in the picture I attached. lmk if you'd like me to explain more

Answer:

y = 2x - 2

Step-by-step explanation:

let equation of the line be y = mx + c

since it is parallel to y = 2x + 2, gradient/slope of the two lines would be the same

therefore, m = 2

since it passes through (4, 6),

sub (4, 6):

6 = 2(4) + c

c = -2

therefore equation of the line is y = 2x - 2

The value of \( \:\frac{ - 9 + ( - 11)}{4} + 8\:\) is \(3\).

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}\)

\( \frac{ - 9 + ( - 11)}{4} + 8 \\ \\ = \frac{ - 9 - 11}{4} + 8 \\ \\ = \frac{ - 20}{4} + 8 \\ \\ = - 5 + 8 \\ \\ = 3\)

Note:-

\(\sf\purple{BODMAS\: rule.}\)

B = Brackets

O = Orders

D = Division

M = Multiplication

A = Addition

S = Subtraction

\(\sf\red{(+\:x\:-)\:=\:-}\)

\(\bold{ \green{ \star{ \orange{Mystique35}}}}⋆\)

Answer:

B.

Step-by-step explanation:

Average = \(\frac{58 + 70+59.5+62+66.4+72+81.3+75+83.3+75.5}{10} =\frac{703}{10} =70.3\)

Now find how many are greater than 70.3

72, 81.3, 75, 83.3, and 75.5

The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."

A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.

B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.

C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.

D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.

Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.

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Answer:

Step-by-step explanation:

Answer:

3/2 or 1.5

Step-by-step explanation:

Multiply 3/5 by 2 to make the denominator of both fractions equal.

2 x 3/5 = 6/10

Now that the denominators are equal, add the two fractions together

6/10 + 9/10 = 15/10 = 3/2 or 1.5

Answer:

1 1/2

Step-by-step explanation:

3/5 + 9/10

We need a common denominator of 10

3/5 * 2/2   + 9/10

6/10 + 9/10

15/10

10/10   + 5/10

1 + 5/10

1 + 1/2

1 1/2

Answer:

42

Step-by-step explanation:

Answer:42

Step-by-step explanation:

The answer of the function found to be x = −4 and x = 2,  with M = 38.

We must consider the function,

f (x) = x³ + 6x² + 6

Over the interval  

-5 \(\leq\) x \(\leq\) 2

To obtain the extrema we start from the function's derivative.

f' (x) = 3x² + 12x

Equating it to 0,

f' (x) = 0 = 3x(x +4) = 0

We arrive at two solutions,

x1 = 0,     x2 = -4   both inside the interval.

Evaluating the function at the stationary points,

f (x1) = 6

f (x2) = (-4)³ + 6 . (-4)² + 6 = -64 + 96 + 6 = 38

These values must be compared to that of the function at the interval frontiers,

f (-5) = (-5)³ + 6 . (-5)² + 6 = -125 + 150 + 6 = 31

f (2) = 2³ + 6 . 2² + 6 = 38

Comparing the results we can conclude that the function attains its absolute minimum at,

x = 0,      m = 6

Meanwhile, the absolute maximum is attained at the points,

x = −4 and x = 2,  with M = 38.

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Answer:

x+1=115.6

Step-by-step explanation:

an unknown x

plus a number imagine 1

so x+1=115.6

The area of the rectangle, expressed as a polynomial in standard form, is 6x^2 - 17x - 14.

To find the area of a rectangle with length (3x + 2) and width (2x - 7), we can use an area model. The area of a rectangle is given by the product of its length and width.

First, let's draw a rectangle and divide it into four sections:

Copy code

               ---------------

              |               |

       (3x + 2)|               |

              |               |

               ---------------

               |      (2x - 7)|

               --------------

The length of the rectangle is (3x + 2) and the width is (2x - 7). We can distribute the values to each section of the rectangle:

Copy code

               ---------------

              |  3x + 2       |

       (3x + 2)|               |

              |  3x + 2       |

               ---------------

               |  2x - 7      |

               ---------------

Now, let's multiply the values in each section:

Area = (3x + 2) * (2x - 7)

= 6x^2 - 21x + 4x - 14

= 6x^2 - 17x - 14

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