5x +6y = -6
7x – 3y = -54

hey listen i’m frustrated and don’t know how to do this so thank you if you can and i love you <3

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Explanation:

T(P) is the notation applying the translation rule T(x,y) = (x+5, y+4) to the point P(2,3)

The x+5 means we add 5 to the x coordinate of P. We have x = 2 become x+5 = 2+5 = 7. The point P shifts 5 units to the right to go from (2,3) to (7,3)

Then the point shifts 4 units up to arrive at (7, 7). We shift 4 units up due to the y+4 in the translation rule.

Or put another way, y = 3 is the y coordinate of P. So y+4 = 3+4 = 7 is the new y coordinate.

The statement that "the tribe is the οldest sοciοpοlitical type; the tribe predates the state" is a widely accepted view in anthrοpοlοgy and archaeοlοgy.

It suggests that human sοcieties evοlved frοm smaller, kinship-based grοups knοwn as tribes befοre transitiοning tο larger, centralized fοrms οf pοlitical οrganizatiοn knοwn as states.

Tribes are characterized by a clοse-knit sοcial structure based οn kinship ties, with members sharing cοmmοn ancestry and οften living in smaller, decentralized cοmmunities. Tribal sοcieties typically have egalitarian sοcial structures, with leadership based οn kinship οr achieved status rather than fοrmal hierarchical systems.

As human sοcieties evοlved, sοme tribes eventually develοped intο states, which are characterized by centralized pοlitical authοrity, fοrmal legal systems, and defined territοrial bοundaries. States οften have mοre cοmplex sοcial hierarchies, specialized institutiοns, and a mοnοpοly οn the use οf fοrce.

The transitiοn frοm tribes tο states is believed tο have οccurred gradually οver thοusands οf years, as human pοpulatiοns grew and interactiοns between grοups increased. The emergence οf agriculture, surplus prοductiοn, and the need fοr larger-scale gοvernance are οften cited as factοrs cοntributing tο the develοpment οf states.

While the specific timeline and prοcesses οf this transitiοn are still subjects οf οngοing research and debate, it is generally accepted that tribal sοcieties predate the develοpment οf states in human histοry.

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Answer:

26 min

Step-by-step explanation:

The slope of the data will be equal to 2 for the book reading.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope is also defined as the ratio of the rise to the run of the line.

Given that Jenny started reading her book for English class at 8:03 p.m. and she started on page 24. At 8:29 p.m., Jenny stopped reading and was on page 37.

The slope of the data will be calculated as,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 29 - 3) / ( 37 - 24)

Slope = 2

Therefore, the slope of the data will be equal to 2 for the book reading.

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3 to the power of 14

Step-by-step explanation:

you need to add the exponents together. When you multiply exponents you actually add them.

so \(3^{14}\) is your answer.

or 4783969 if you solve the whole thing

i hope this helps

Answer:

3 to the power of 14

Step-by-step explanation:

In one gram of substance 0.22 grams of nickel is present. Then the amount of nickel in the 35 grams of the substance is 7.7 grams.

A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.

A single gram of a certain metallic substance has 0.52 grams of copper and 0.26 grams of zinc.

The remaining portion of the substance is nickel.

Let the gram of nickel be x. Then we have

\(\sf x + 0.52 + 0.26 = 1\)

\(\sf x = 0.22\)

0.22 grams of nickel.

Ben estimated that 0.2 gram of nickel is in 1 gram of the substance.

He used this to estimate the amount of nickel in 35 grams of the substance.

Then we have

\(\sf \rightarrow35 \times 0.2 = 7\)

We know that in 1 gram the amount of nickel is 0.22 gram. Then we have

\(\sf \rightarrow 35 \times 0.22 = 7.7\)

The amount of nickel in the 35 grams of the substance is 7.7 grams.

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Answer:

the graph has two vertical asymptotes, line q intersects the line at -8 and is the more important one.

Step-by-step explanation:

This is visible based off of the picture.

Answer:

If you have to solve for v, it's v<-1

interval notation: (- ∞, -1)

Step-by-step explanation:

Answer:

The value of x = 27

Step-by-step explanation:

Given:

48x² : 64x⁴ ::: x : 36x²

Find:

The value of x

Computation:

(a)(d) = (b)(c)

(48x²)(36x²) = (64x⁴)(x)

(1,728x⁴) = (64x⁵)

x = 27

The value of x = 27

Following are the solution to the given expression:

Given:

\(\to 48x^2 : 64x^4 :: x : 36x^2\)

To Find:

x=?

Solution:  

\(\to 48x^2 : 64x^4 :: x : 36x^2\)

\(\to \frac{48x^2}{ 64x^4} =\frac{ x}{ 36x^2}\\\\\)

cross multiply:

\(\to \frac{48x^2 \times 36x^2}{ 64x^4} =x\\\\\to x= \frac{48x^2 \times 36x^2}{ 64x^4} \\\\\to x= \frac{48 \times 36}{ 64} \\\\\to x= \frac{6 \times 9}{ 2} \\\\\to x= 3 \times 9\\\\\to x=27\)

Therefore, the answer is "27".

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Answer:

13v + 9

Step-by-step explanation:

(7v + 6) + (6v + 3) ← remove parenthesis

= 7v + 6 + 6v + 3 ← collect like terms

= 7v + 6v + 6 + 3

= 13v + 9

Answer:

yeah I will help I got you my guy or girl

Answer:

Yea sure i'll help but um what u need help with

Step-by-step explanation:

Answer:

i think its 45/2

decimal form= 22.5

The explicit bijection is f(x) = (x - a) / (b - a)

To find an explicit bijection between the intervals [a, b) and (0, 1), use a linear transformation and scaling. Let's denote the bijection as f: [a, b) -> (0, 1).

First, shift the interval [a, b) to start from 0. We can achieve this by subtracting 'a' from each element in the interval. So, the shifted interval becomes [0, b - a).

Next, scale the interval [0, b - a) to (0, 1). To do this, we divide each element by the length of the interval (b - a). So, the scaled interval becomes (0, 1/(b - a)).

Finally, define the bijection f as follows:

f(x) = (x - a) / (b - a)

Let's verify that f is a bijection:

1. Injective (One-to-One):

Suppose f(x₁) = f(x₂) for some x₁, x₂ ∈ [a, b). Then, we have:

(x₁ - a) / (b - a) = (x₂ - a) / (b - a)

Cross-multiplying, we get:

(x₁ - a)(b - a) = (x₂ - a)(b - a)

Expanding and simplifying:

x₁(b - a) - a(b - a) = x₂(b - a) - a(b - a)

x₁(b - a) = x₂(b - a)

x₁ = x₂

Therefore, f is injective.

2. Surjective (Onto):

Let y ∈ (0, 1). We need to show that there exists an x ∈ [a, b) such that f(x) = y. Solving for x, we have:

(x - a) / (b - a) = y

Cross-multiplying, we get:

x - a = y(b - a)

Rearranging, we have:

x = y(b - a) + a

Since y ∈ (0, 1), we have 0 < y(b - a) < b - a. Therefore, x ∈ [a, b).

Thus, for any y ∈ (0, 1), find an x ∈ [a, b) such that f(x) = y.

Hence, f is surjective.

Since f is both injective and surjective, it is a bijection between [a, b) and (0, 1).

Therefore, the explicit bijection is:

f(x) = (x - a) / (b - a)

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Answer:

\(x = \frac{10}{\tan(52^o)}\)

Step-by-step explanation:

Given

See attachment for illustration

Required

Equation to find x

The relationship between angle \(52^o\) and side lengths x and 10 inches is by tangent formula which is given by:

\(\tan(\theta) = \frac{Opposite}{Adjacent}\)

So, we have:

\(\tan(52^o) = \frac{10}{x}\)

Make x the subject

\(x = \frac{10}{\tan(52^o)}\)

The number of cups of vinegar that Mike used lies between the whole numbers 2 and 4

If Mike used one cup of vinegar for each salad dressing recipe, then he used a total of 3 cups of vinegar (1 cup x 3 recipes = 3 cups).

However, the question states that he used "a cup of vinegar" in each recipe, which could mean that he used slightly less than one cup, exactly one cup, or slightly more than one cup.

Assuming that Mike used at least 3/4 cup of vinegar in each recipe (which is still close to "a cup"), then he used a minimum of 2 and 1/4 cups of vinegar in total (3/4 cup x 3 recipes = 2 and 1/4 cups).

Assuming that Mike used at most 1 and 1/4 cups of vinegar in each recipe (which is still close to "a cup"), then he used a maximum of 3 and 3/4 cups of vinegar in total (1 and 1/4 cups x 3 recipes = 3 and 3/4 cups).

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Answer:

  swap the middle two steps to put them in order

Step-by-step explanation:

The steps in order would be ...

Answer:

y = (1/3)*x + 5

Step-by-step explanation:

Step 1: determine slope or m

m = change in y-coordinates ÷ change in x-coordinates

m = (4-7)/(-3-6) = -3/-9 = 1/3

Step 2: determine y-intercept or b

y = m*x + b

y = (1/3)*x + b

4 = (1/3)*(-3) + b

4 = -1 + b

b = 5

Step 3: substitute values for m and b into the slope intercept equation

y = (1/3)*x + 5

The output is given by:r= t-3

For the inputs,

t=17

The output is

r=17-3=14

For the input, t=20

The output is:

r=20-3=17

For the input, t=22

The output is

r=22-3=19.

For the input, t=24

The output is

r=24-3=21

Answer:

=2x+3y. you can't add two different variables

Answer:

y=4

y=−3

Step-by-step explanation:

Answer:

Step-by-step explanation:

(0,4)

(0,-3)

Question:

If one basket contains five bottles each weighing 7 1/4 and the other basket has six apples each weighing 6 1/2 ounces. Which basket is heavier and by how much ?

Answer:

The basket of bottles weighs more than the basket of apples by \(3\frac{3}{4}\) ounces

Step-by-step explanation:

Given

\(Bottles = 5\)

\(Weight(Bottle) = 7\frac{1}{4}\)

\(Apples = 6\)

\(Weight(Apple) = 6\frac{1}{2}\)

Required

Determine which basket is heavy

and by how much?

First, we need the total weight of each basket.

For the bottles' basket

\(Total\ Weight = Weight * Bottles\)

\(Total\ Weight = 7\frac{1}{4} * 5\)

\(Total\ Weight = \frac{29}{4} * 5\)

\(Total\ Weight = \frac{29 * 5}{4}\)

\(Total\ Weight = \frac{145}{4}\)

\(Total\ Weight = 36\frac{1}{4}\)

For the bottles' basket

\(Total\ Weight = Weight * Apples\)

\(Total\ Weight = 6\frac{1}{2} * 5\)

\(Total\ Weight = \frac{13}{2} * 5\)

\(Total\ Weight = \frac{13* 5}{2}\)

\(Total\ Weight = \frac{65}{2}\)

\(Total\ Weight = 32\frac{1}{2}\)

By comparing both total weights, \(36\frac{1}{4} > 32\frac{1}{2}\)

Hence:

The basket of bottles weighs more than the basket of apples

Calculating the difference:

\(Difference = 36\frac{1}{4} - 32\frac{1}{2}\)

\(Difference = \frac{145}{4} - \frac{65}{2}\)

\(Difference = \frac{145 - 130}{4}\)

\(Difference = \frac{15}{4}\)

\(Difference = 3\frac{3}{4}\)

Hence:

It weighs more by \(3\frac{3}{4}\) ounces

Answer:

the answer is the last one

Answer:

Thank you so much!!!

Step-by-step explanation:

Answer:

thanks!!

Step-by-step explanation:

Answer:

1 1/2 or 1.5

Step-by-step explanation:

trapezoid area formula: a = (a+b/2) x h

bases: 8 + 4 = 12

12/2=6

6 x 1/4 = 1.5 or 1 1/2

The coefficient of determination measures goodness of fit.

The coefficient of determination, often referred to as R-squared, measures the goodness of fit in a regression analysis. It does not measure the independence of variables, economic plausibility, or independence of residuals.

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The quotient q(x) is x^2 - 8x + 6, and the remainder r(x) is -x^3 + 8x^2 - 186x + 580, when dividing p(x) = x^3 + 2x^2 - 16x + 640 by d(x) = x + 10 using long division.

To find the quotient q(x) and the remainder r(x) when dividing p(x) by d(x) using long division, we can perform the following steps:

Step 1: Write the dividend (p(x)) and the divisor (d(x)) in descending order of powers of x:

p(x) = x^3 + 2x^2 - 16x + 640

d(x) = x + 10

Step 2: Divide the highest degree term of the dividend by the highest degree term of the divisor to determine the first term of the quotient:

q(x) = x^3 / x = x^2

Step 3: Multiply the divisor by the term obtained in step 2 and subtract it from the dividend:

p(x) - (x^2 * (x + 10)) = x^3 + 2x^2 - 16x + 640 - (x^3 + 10x^2) = -8x^2 - 16x + 640

Step 4: Repeat steps 2 and 3 with the new dividend obtained in step 3:

q(x) = x^2 - 8x

p(x) - (x^2 - 8x) * (x + 10) = -8x^2 - 16x + 640 - (x^3 - 8x^2 + 10x^2 - 80x) = 6x^2 - 96x + 640

Step 5: Repeat steps 2 and 3 with the new dividend obtained in step 4:

q(x) = x^2 - 8x + 6

p(x) - (x^2 - 8x + 6) * (x + 10) = 6x^2 - 96x + 640 - (x^3 - 8x^2 + 6x^2 - 80x + 60) = -x^3 + 8x^2 - 186x + 580

Since the degree of the new dividend (-x^3 + 8x^2 - 186x + 580) is less than the degree of the divisor (x + 10), this is the remainder, r(x).

The quotient q(x) is x^2 - 8x + 6, and the remainder r(x) is -x^3 + 8x^2 - 186x + 580, when dividing p(x) = x^3 + 2x^2 - 16x + 640 by d(x) = x + 10 using long division.

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Answer:

Below.

Step-by-step explanation:

15y + 12x = 18

5y + 4x = 6

The  second equations is the first times 3 so they are basically the same.

Infinite Solutions.

2x+ 3y= 12

-6y= 4x-24          Rearranging the second equation:

-4x - 6y = -24      Multiplying the first equation by 2:

4x + 6y = 24      

- we see that the last equation is -1 * previous equation.

So there are infinite solutions.

Answer:

6y-2y=3y+2

4y=3y+2

4y-3y=2

1y=2

y=2

Answer:

the anwer is true                                                                                                       Step-by-step explanation:

The plural of the word 'radius' is actually 'radii

i learned it and welcome and im happy to help u (: :)