What is the equation of this trend line?
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N=M +
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8

Answer:

Juan wrapped n gifts.

Kala wrapped 6n gifts. (because she wrapped 6 times as many gifts as Juan)

Kala wrapped 48 gifts in total (as stated in the problem)

So, 6n = 48

n = 8 (by dividing both sides by 6)

So, Juan wrapped 8 gifts.

Answer:

8 gifts.

Step-by-step explanation:

If Juan wrapped n gifts, then Kala wrapped 6n gifts because Kala wrapped 6 times as many gifts as Juan.

And we know that Kala wrapped 48 gifts, so we can set up an equation:

6n = 48

To find the number of gifts Juan wrapped, we can divide both sides of the equation by 6:

n = 48/6

n = 8

So Juan wrapped 8 gifts.

Graphs with a nonzero axis most misleading as they distort differences between values.

What is a graph ?

Graph can be defined as the visual representation of data in the form of given ordered pairs.

A professional who specializes in interest rates might find the information in the left-hand graph quite useful.

They distort differences between values.

We have given that, a graph

They distort differences between values,

So distort differences between values can be,

Non-zero axes distort differences between values, but they are not always misleading.

It depends on who is looking at them.

Consider the bar graphs , showing the change in interest rates over time.

A reader might conclude that interest rates had risen sharply (the zero-axis shows that they have remained steady).

However, a professional who specializes in interest rates might find the information in the left-hand graph quite useful.

Hence, Graphs with a nonzero axis most misleading as they distort differences between values.

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The expressions are equivalent to 10a - 25 + 5b are option A, C and D.

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For illustration, 2x - 5 = 13. Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign.

Given that the expression is 10a - 25 + 5b.

For the given options, simplify each individual expression to determine the answer:

A. 5(2a−5+b)

= 10a - 25 + 5b

Equivalent

B. -2(-5a-25+5b)

= 10a + 50 - 10b

Not equivalent

C. 10×(a − 2.5 + 0.5b)

= 10a - 25 + 5b

Equivalent

D. (−2a + 5 − b)⋅(−5)

= 10a - 25 + 5b

Equivalent

E. −10⋅(−a−2.5−0.5b)

= 10a + 25 + 5b

Not equivalent

Hence, the expressions are equivalent to 10a - 25 + 5b are option A, C and D.

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The level curve for the function z(x, y) = y²x², at the value c = 115 are the points that satisfy the equations y = (√115)/x and y = -(√115)/x .

The Level Curves of a function z(x,y) at a constant value "c" are defined as the set of points (x,y) where z(x,y) = c.

So, to find the level curves of z(x,y) = y²x² at the indicated value of c = 115, we need to solve the equation y²x² = 115 for x and y.

Starting with y²x² = 115,

Simplifying ,

we get ;

⇒ y² = 115/x²

Taking the square root(√) of both sides:

that means ⇒ |y| = sqrt(115/x²) ;

Since y can be either positive or negative, we have two equations:

⇒ y = sqrt(115/x²)     ⇒  y = -sqrt(115/x²)

⇒ y = (√115)/x          ⇒  y = -(√115)/x .

Therefore , the level curve for c = 115 is the set of points that satisfy either of these two equations.

The given question is incomplete , the complete question is

Find the level curves of each function at the indicated value of c to visualize the given function.     z(x, y) = y²x², c = 115  .

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The total thickness of the shim when they are stacked up under one corner to its base to level it is 1.075 inch.

The smallest of an object's three descriptive dimensions—height, breadth, and length—is referred to as thickness. If a rectangular prism's volume and one side's area are known, you may use those two figures to determine the thickness of the prism. For instance, you can determine the thickness of the cement slab that forms your driveway if you know its volume and the size of its surface area. Simply ensure that the object's area and volume are given in the same units of measure.

There are four shim stock under one corner of its base,

0.25 inch, 0.75 inch, 0.065 inch, and 0.010 inch in thickness

So total thickness be,

0.25 + 0.75 + 0.065 + 0.010

= 1.075 inches.

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The number which describes the average change in weight per day of Ignacio is equal to 0.4 pounds per day.

Number of days Ignacio done the dieting is equal to 30 days

Total weight lost by Ignacio in 30 days = 12 pounds

Let 'x' be the change in weight per day of Ignacio after dieting.

Weight lost in 30 days = 12 pounds

Average weight change per day is:

⇒ 1 day = ( 12 / 30 )  pounds per day

⇒ 1 day = ( 2/ 5 ) pounds per day

⇒ 1 day = ( 0.4 ) pounds per day

Therefore, the average weight change per day by Ignacio is equal to 0.4pounds per day.

The above question is incomplete, the complete question is:

Write a numerical statement to represent the problem. Then simplify the numerical expression to answer the question. After dieting for 30 day, Ignacio has lost 12 pound. What number describe his average weight change per day?

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Answer:

i) 5,00,00,000 (5 billion) in standard form would be 5 x 10^9

ii) 39087.8 in standard form would be 3.90878 x 10^4

iii) The distance between Earth and Moon is 384,000,000 m (384 million meters) in standard form would be 3.84 x 10^8 m.

Step-by-step explanation:

Answer:

Isosceles Right Triangle.

Step-by-step explanation:

Let the points be A, B and C where A = (-4, 1), B = (0, -2) and C = (3, 2)

Slope of AB = (-2-1)/(0- -4) = -3/4

and its length = √(-2-1)^2 + (0- -4)^2 = √25 = √5.

Slope of BC = (2 - -2)/(3 - 0) = 4/3

and its length = √(2 - -2)^2 + (3)^2 = √25 = √5

Slope of AC = ((2-1)/3- -4) = 1/7

and its length = √((4--4)^2 + (2-1)^2 = √17

The product of the slopes of AB and BC = -3/4 * 4/3 = -1 so

m < ABC = 90 degrees.

Also, the sides AB and BC are equal in length

So. the Triangle is an isosceles right triangle.

Answer:96

Step-by-step explanation:36-8(-3)=9

Answer:

11. 15°

I haven't learned how to find sides with only one side given yet I'm so sorry!!

Salut/Hello!

Answer: 0.625

Step-by-step explanation:

The probability will be 5 men in a selection of 8 random men
so 5/8 is equal to 0.625 which shows the probability.

I hope it was helpful! :]

The value of the sixth number in the set of numbers is 16

The correct answer is an option (b)

Let us assume that 'p' be the value of the sixth number in the set.

So, the set of numbers is { 5, 14, 10, 22, 23, p}

The mean of a set of six numbers is 15.

We know that we can find the mean or average of a data set by adding all numbers in the data set and then dividing by the total number of values in the set.

Let m be the mean of set of  numbers { 5, 14, 10, 22, 23, p}

So, m = 15

Here, the total number of values in set = 6

Using the formula for mean,

m = (5 + 14 + 10 + 22 + 23 + p)/6

15 = (5 + 14 + 10 + 22 + 23 + p)/6

15 × 6 = (5 + 14 + 10 + 22 + 23 + p)

90 = 74 + p

90 - 74 = 74 + p - 74

p = 16

Therefore, the sixth number is 16

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Answer:  16 men should be assigned to finish the work in 20 days.

Step-by-step explanation:

Let's assume that the number of men needed to complete the work in 20 days is y. Then, the rate of work done by each man is given by 20/16=5/4 units of work per day.

So, the rate of work done by y men is given by 5/4 * y units of work per day.

Since the total work is constant, we have 20 men * 20/16 units of work per day = y men * 5/4 units of work per day.

Dividing both sides by 5/4, we get:

y = 20 * 20/16 / (5/4) = 20 * 4/5 = 16 men.

Therefore, 16 men should be assigned to finish the work in 20 days.

Lauren worked for [tex]$7 / 24$[/tex] th of a day.

A fraction is a concept where some portions of a full item are expressed in fraction form or division form. For example, if there are 150 students and 98 of them are female, the fraction can be written as follows. Similarly,

24 hours make up the entirety of a day.

In the morning, 1(1/4) hours, which equates to 5/4 hours, in the afternoon, 3 hours, and in the evening, 2 hours and 45 minutes, respectively, which may be stated as

=(2+45/60)

=2+3/4

=11/4hours

So, the total no of hours Lauren practised will be

Total [tex]$=\frac{5}{4}+3+\frac{11}{4}$[/tex]

[tex]$=\frac{5+12+11}{4}$[/tex]

[tex]$=\frac{28}{4}$[/tex]

[tex]$=7$[/tex] hours

Now we can express it in fraction form,

Fraction[tex]$7 / 24$[/tex]

Hence, Lauren worked for [tex]$7 / 24$[/tex]th of a day.

The complete question is,

Lauren practiced playing the piano 1 1/4 hours in the morning, 3 hours in the afternoon, and 2 hours and 45 minutes in the evening. For what fraction of the day did she practice?

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The amount of time it will take him to make an observations in order to view an entire cycle would be = one month. That is option C

Moon cycle is defined as the the series of phases that the moon takes to orbit around the earth as the earth moves round about the sun.

The difference phases of the moon include the following:

These cycles are repeated again after 29.5 days which is approximately 1 month, therefore, the amount of time it will take him to make an observations in order to view an entire cycle would be = one month

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The tangent line to the curve x = 9t^2 + 2, y = t^3 − 9 at the point (83, 18) has a slope of 1/2.

The slope of the tangent line to a curve at a point (x₀, y₀) can be found by taking the derivative of the equation for the curve at that point and evaluating it at x₀.

Given the curve x = 9t^2 + 2, y = t^3 − 9, we can find the derivative with respect to t, which is the slope of the curve at any point (x, y).

dx/dt = 18t

dy/dt = 3t^2

So, the slope of the tangent line at point (x₀, y₀) on the curve is given by:

m = dy/dt * (dt/dx) = (3t^2) * (1/18t) = (1/6) * t

To find the point(s) on the curve where the tangent line has slope 1/2, we set m = 1/2 and solve for t:

(1/6) * t = 1/2

t = 3

Substituting t = 3 back into the equation x = 9t^2 + 2, y = t^3 − 9, we get the point (x₀, y₀) = (83, 18).

--The question is incomplete, answering to the question below--

"at what point(s) on the curve x = 9t^2 + 2, y = t^3 − 9 does the tangent line have slope 1/2 ?"

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Answer:

(--1, -2)

(-4, -2)

(-4, -4)

Step-by-step explanation:

Rule ( x,y)  ⇒ (-x, -y)

(1,2) ⇒ (-1,-2)

(4,2) ⇒ (-4,-2)

(4,4) ⇒ (-4,-4)

Answer:

-2.25n + 18

Step-by-step explanation:

- 4 1/2 ( - 2.5n + 3n - 4 )

4 1/2 = 9/2

-9/2 (-2.5n + 3n - 4)

-9/2(0.5n - 4)

-2.25n + 18

According to the question, Alexa's monthly payment will be $448.59.

Payment is the transfer of money from one party to another in exchange for goods, services, or to fulfill a legal obligation. Payment can take many forms, such as cash, check, credit or debit card, money order, bank transfer, or online payment. The most common form of payment is cash, followed by debit and credit cards. Payment also includes more modern forms such as digital currencies, mobile payments, and contactless payments. Payment is an important part of the exchange of goods and services, and it is essential for the functioning of a modern economy.

M = P x r x (1 + r)ⁿ / ((1 + r)ⁿ - 1)

M = 22,000 x 0.063 x (1 + 0.063)⁶ / ((1 + 0.063)⁶ - 1)

M = 22,000 x 0.063 x 1.3958 / 0.7236

M = $448.59

Therefore, Alexa's monthly payment will be $448.59.

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The increase in driver's altitude will be 283 feet based on the mentioned angle of elevation and distance travelled.

The road will represent hypotenuse and the altitude will represent the height of the triangle. Based on this, the formula to be used for calculation is -

sin theta = perpendicular ÷ hypotenuse, where theta is the angle of elevation.

sin 3° = altitude ÷ 5403

Rewriting the equation

Altitude = sin 3 × 5403

Keep the value of sine angle

Altitude = 0.05 × 5403

Performing multiplication

Altitude = 282.7 feet

Rounding off we get = 283 feet.

Thus, the altitude will be 283 feet.

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X = -4,8 are the values of x in quadratic equation .

What in mathematics is a quadratic equation?

A quadratic equation is a second-order polynomial equation in one variable using the formula x = ax2 + bx + c = 0 and a 0.

                         The fundamental theorem of algebra ensures that it has at least one solution because it is a second-order polynomial problem.

Let X² = X

= x^4 - 4x^2 - 32

= X² - 4X - 32

= X² - (8 - 4 )X - 32

= X² - 8X + 4X - 32

= X( X - 8 ) + 4( X - 8 )

= (X + 4 ) ( X - 8 )

= X = -4 , 8

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Answer:

i think its 3.14, im not sure though srry

Step-by-step explanation:

Answer: I want to say is this one: -6, -3, 2, 5

Step-by-step explanation: That one just look like its the one because the first option it goes from greatest to least and then repats itself so i know if not that one. then the next one also looks wrong. I saw is the 3rd one.

The possible scales factors of the given dilation transformation are 3/2 and -3/2. Hence, their sum is zero.

A dilation is a transformation that results in an image with the same shape as the original but a different size.

In a dilation transformation, a negative scale factor enlargement will cause the enlargement to appear on the opposite side of the enlargement's center and will be inverted (upside down). The size of the shape will also alter depending on the degree of the enlargement.

The areas are scaled by 9/4

Since, the area of a square is the square of its side, then scale factor is:

Scale factor = ±√(9/4) =  ± 3/2

Hence, the possible values are positive scale factor: 3/2 and negative scale factor = -3/2.

Their sum is: 3/2 + (-3/2) = 0

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The student's equation is incorrect because it contains only one part, and an equation requires two parts to be valid.

An equation is a statement that two things are equal, and it must contain two different parts. A single number, such as the five numbers that this student used, can't make an equation. The student was using the numbers as adjectives, which modify nouns, but adjectives can't be added to make an equation.

In order to have a proper equation, the student must have two parts, each with its own number or variable. For example, the student could have used 2 + 3 = 5, which is an equation with two parts.

The left side of the equation (2 + 3) is the sum of the two numbers, and the right side of the equation (5) is the result of that sum.

This equation would be correctly written and would produce the correct result.

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Anne should mix 9 cans white paint with 6 cans of blue paint.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, Anne wants to paint her house light, so she is mixing 3 cans of white paint to every 2 cans of blue paint.

So, the ratio of white paint to blue paint is 3:2

1) Multiply the ratio by 3, we get 9:6

So, Anne should mix 9 cans white paint with 6 cans of blue paint.

2) Rate = 3/2

= 1.5

Therefore, Anne should mix 9 cans white paint with 6 cans of blue paint.

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Answer:

[tex]\boxed{m \angle CAB =99^{\circ}}[/tex]

Step-by-step explanation:

We can use the law of cosines to determine measure of ∠CAB

If a, b and c are the three sides of a triangle and C is the angle opposite side c then the law of cosines says
c² = a² + b² - 2ab cos(C)

Here we are asked to find m∠CAB

The side opposite ∠CAB is BC which is 23 cm long. This is c in the formula

The other two sides, a and b are 13 cm and 17 cm

Applying the formula, using C to represent m∠CAB

[tex]23^2=\:13^2+\:17^2-\:2\:\cdot 13\cdot 17\cdot \cos \left(C\right)[/tex]

First switch sides:
[tex]13^2+17^2-2\cdot \:13\cdot \:17\cos \left(C\right)=23^2[/tex]

[tex]\rightarrow 69+289-442\cos \left(C\right)=529\\\\\rightarrow 458 -4 42\cos \left(C\right) = 529\\[/tex]

[tex]\rightarrow -442\cos \left(C\right) = 529-458\\\\\rightarrow -442\cos \left(C\right) = 71\\\\[/tex]

[tex]\rightarrow \cos \left(C\right)=-\dfrac{71}{442}\\\\\rightarrow \cos \left(C\right) = - 0.16063\\\\[/tex]

[tex]\rightarrow C = \cos^{-1} (-0.16063)[/tex]

[tex]\rightarrow C = 99.2437^{\circ}[/tex]

Rounded to the nearest integer, this would become

[tex]\rightarrow C = \boxed{99^{\circ}}[/tex]

This might be written as x2-25x-2200 = 0, since the park's area is 2200 m2, and its length is.xm.

A rectangle is a polygon with four direction perpendicular in Euclidean plane geometry. You may also refer to it as an equiangular quadrilateral, meaning that every one of its vertices are equal. A straight angle may also present in the parallelogram. Rectangles with four evenly sized sides are called squares. Four 90º vertices and equivalent parallel sides make up a quadrilateral with the characteristics of a rectangle. As a result, it's also known as a georeferencing rectangle. A rectangle is also referred to as a parallelogram since its separate angles are parallel and equal.

given

Park's rectangular length is x meters.

Park width is equal to (x-25)m since width is 25 m shorter than length.

The park has a 2200 m2 area.

Rectangle's area is known to be length times breadth.

Therefore;

x*(x-25)=2200 about division x²-25x = 2200

This might be written as x2-25x-2200 = 0, since the park's area is 2200 m2, and its length is.xm.

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The equation ||αu v||^2 = α^2 ||u||^2 ||v||^2 does not hold in general.

Therefore the answer is False.

The left side of the equation is the square of the Euclidean norm of the product of a scalar and two vectors, which is ||αu v||^2 = (αu)^T (αu) = α^2 u^T u v^T v = α^2 ||u||^2 ||v||^2. The Euclidean norm, also known as the L2 norm, is a measure of the magnitude of a vector in a multi-dimensional space. It is defined as the square root of the sum of the squares of the vector's components.

The right side of the equation is the product of the squares of the norms of two vectors, which is not equal to the square of the norm of their product in general.

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