Enter the solution (x, y) to the system of equations shown.


y=4x−3
y=−x−13

Answer:

  yes; 2 m = 200 cm

Step-by-step explanation:

The SI prefix "centi-" signifies 1/100. That is 300 cm = 300/100 m = 3 m.

If the ceiling is 3 meters high, a sculpture that is 2 meters tall will have no difficulty fitting into the room.

So, here in part a), we are given n terms (no specific no. of terms given), so no. of terms = n , also, the common difference is defined as the difference between the next term to a specific term and the term, i.e [tex]{\bf{d=a_{n}-a_{n-1}}}[/tex], where d is the common difference, so here d = 49 - 45 = 4

Also, here the last term is 49 let say it the nth term, as no number of terms are given, so using the Arithmetic Progression formula, we can write as ;

[tex]{:\implies \quad \sf a+(n-1)d=49}[/tex]

[tex]{:\implies \quad \sf a+(n-1)4=49}[/tex]

[tex]{:\implies \quad \sf a+4n-4=49}[/tex]

[tex]{:\implies \quad \sf a=49+4-4n=\boxed{\bf{53-4n}}}[/tex]

Now, as we assumed there are n terms, so using the sum formula, we can have ;

[tex]{:\implies \quad \sf S_{n}=\dfrac{n}{2}(a+a_{n})}[/tex]

[tex]{:\implies \quad \sf S_{n}=\dfrac{n}{2}(53-4n+49)}[/tex]

[tex]{:\implies \quad \sf S_{n}=\dfrac{n}{2}(102-4n)}[/tex]

[tex]{:\implies \quad \sf S_{n}=n(56-2n)=\boxed{\bf{-2n^{2}+56n}}}[/tex]

Now, for part b) we are given a geometric progression with first term = a = 1, common ratio = r = (3/1) = 3, and no. of terms = n = 6, so now putting all values in the sum formula we will have;

[tex]{:\implies \quad \sf S_{6}=\dfrac{1\{1-(3)^{6}\}}{1-3}}[/tex]

[tex]{:\implies \quad \sf S_{6}=\dfrac{1-729}{-2}}[/tex]

[tex]{:\implies \quad \sf S_{6}=\dfrac{-728}{-2}=\boxed{\bf{364}}}[/tex]

Answer:

The answer is 10 dude.

Step-by-step explanation:

You add 8 on both sides to get 3y by itself then divide 3 on both sides and that's it. If you really need to isolate a variable go on a website called microsoft math solver.

volume: 1740 ft³

[tex]\sf volume\ of \ the \ prism = volume \ of \ rectangle \ + \ volume \ of \ triangular\ prism[/tex]

[tex]\sf volume\ of \ the \ prism =length * width * height+ \ \dfrac{1}{2} * base * height * length[/tex]

[tex]\sf volume\ of \ the \ prism =15* 10* 8+ \ \dfrac{1}{2} * 9* 12* 10[/tex]

[tex]\sf volume\ of \ the \ prism =1200+ 540[/tex]

[tex]\sf volume\ of \ the \ prism =1740[/tex]

Answer:

1740 ft³

Step-by-step explanation:

Volume

= Volume of right triangular prism (upper) + Volume of cuboid (below)

= 1/2L₁B₁H₁ + L₂B₂H₂

= 1/2 x 12 x 10 x 9 + 15 x 10 x 8

= 5 x 108 + 120 x 10

= 540 + 1200

= 1740 ft³

Answer:

If the operating expenses are 36% of the cost, find the operating loss and the absolute loss.

1. An operating loss occurs when a company's operating expenses exceed gross profits (or revenues in the case of a service-oriented company.

2. Mean absolute error (MAE) is a loss function used for regression. The loss is the mean overseen data of the absolute differences between true and predicted values, or writing it a formula.

Step-by-step explanation:

I'm pretty sure it's either D or B, I'm literally so sorry if it's wrong

Explanation:

Most states (but not all) require liability insurance at minimum. This covers injury and property damage to the person you accidently hit. It likely does not cover you personally so you'd need other insurance for that.

States like Iowa, New Hampshire, and Ohio offer exemptions from insurance if you can show you are responsible with money. Meaning that if you have a steady income and are smart with money, then you likely would be able to pay off any future accident without needing insurance. Though the damages might get wildly expensive, so a liability policy isn't always a bad thing.

Answer:

[tex]3z {}^{3} \times 12[/tex]

[tex]36z {}^{3} [/tex]

Answer:

  -7

Step-by-step explanation:

The slope of the line between two points can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

__

Using the first two points from your list, we find the slope to be ...

  m = (29 -36)/(40-39) = -7/1 = -7

The slope of the line is -7.

Answer:

php.200.00

Step-by-step explanation:

if 8kg is 320 what about 5kg therefore it will be 5kg × 320 ÷8 kg which will give you php 200

the ans is 200

Answer:

Php 200.00

Step-by-step explanation:

Given :

Unit rate

5 kg of sugar

Answer:

Angle u is 52

Step-by-step explanation:

I only know this

52 because internal angle of triangle is 180 subtract 90 and 38 from 180 and you will get 52

Answer:

Integer

Step-by-step explanation:

Essentially Rational numbers are numbers that have decimals or fractions tied to them, negative or positive. EX: 3.66, 2 1/4.

Whole numbers are WHOLE numbers that are positive. They are to the right of zero always. EX: 1, 9, 100,258. There is no decimal or fraction tied to them. This also includes 0.

Integers are essentially a whole number that isn't a fraction. They contain all negative numbers too. EX: -1025, 56, -6.

Here is a better representation of that if you're a visual learner. Hope this helps!

Answer:

20 Units

Step-by-step explanation:

The question wants us to find the area of the shape.

From looking at the shape, we can easily infer that it is made of 1 square and 1 triangle.

Area of a Square/Rectangle Formula: A = W(L)

Area of a Trangle Formula: A = (1/2)(b)h

A = W(L)+(1/2)(b)h

The base of the traingle can be found by subtracting the longer length (6) from the smaller length (4).

A = 4(4)+(1/2)(2)4

A = 16+(1)4

A = 16+4

A = 20 Units

Answer: The chances of landing on blue are 1 in 4, or one fourth. The chances of landing on red are 1 in 4, or one fourth.

Step-by-step explanation:

Reduce 1/4 to lowest terms14 is already in the simplest form. It can be written as 0.25 in decimal form (rounded to 6 decimal places). Steps to simplifying fractions find the GCD (or HCF) of numerator and denominator GCD of 1 and 4 is 1 divide both the numerator and denominator by the GCD1 ÷ 14 ÷ 1 reduced fraction: 14Therefore, 1/4 simplified to lowest terms is 1/4.

Answer:Angle W and Angle C

Step-by-step explanation:

The angles whose cosine equals 3/5 are <A and <W.

One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.

We have,

ΔACB and ΔWZY are similar to each other.

Now, Using trigonometry

cosine = Adjacent leg/ Hypotenuse

We have cosine = 3/5

where Adjacent side =3 and Hypotenuse = 5

So, the angle which have Adjacent side 3 in both triangles are

<A and <W.

Learn more about Trigonometry here:

https://brainly.com/question/29002217

#SPJ2

Answer:

640 Bacteria

Step-by-step explanation:

First, find out how many times the population will double. Divide the number of minutes by how long it takes for the population to double.

812÷203=4

The population will double 4 times.

Now figure out what the population will be after it doubles 4 times. Multiply the population by 2 a total of 4 times.

402222=640

That calculation could also be written with exponents:

4024=640

After 812 minutes, the population will be 640 bacteria.

Answer: 78

Step-by-step explanation:

just add the time all together then this will be your answer.

205 ft as lenght

Step-by-step explanation:

First i multiplyed 60x7 nd got 420. Then i subtracted 10 from 420 and got 410. Next i divided 410 by 2 and got 205 ft.

Answer:

55 minutes

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIST

Answer:

85 minutes

Step-by-step explanation:

if need working than please do ask

Answer:

C. 1/a¹²

Step-by-step explanation:

Formula

Applying that here :

Answer:

a^1/12 or choice A

Step-by-step explanation:

Given:

[tex]\displaystyle \large{\dfrac{a^{\dfrac{1}{3}}}{a^{\dfrac{1}{4}}}}[/tex]

Law of Exponent (Division Property):

[tex]\displaystyle \large{\dfrac{a^m}{a^n} = a^{m-n}}[/tex]

Therefore:

[tex]\displaystyle \large{a^{\dfrac{1}{3}-\dfrac{1}{4}}}[/tex]

Then evaluate the fractions. Keep in mind that we can only evaluate fractions with same denominator. Therefore, calculate the LCM of 3,4 which is 12:

[tex]\displaystyle \large{a^{\dfrac{4}{12}-\dfrac{3}{12}} = a^{\dfrac{1}{12}}}[/tex]

Therefore, the solution is a^1/12 or choice A

Answer:

Step-by-step explanation:

Given is the factored form of a quadratic function.

The standard form is:

Open parenthesis to convert it into standard form:

Answer:

Step-by-step explanation:

Keep in mind that the equation in standard form is y = ax² + bx + c

[Where "a, b, and c" are the constants.]

Simplify the distibutive property:

⇒ y = 3(x - 2)(x - 5)

⇒ y = (3x - 6)(x - 5)

Simplifying the R.H.S using the rule (a + b)(c - d) = ac - ad + bc - bd:

⇒ y = (3x - 6)(x - 5)

⇒ y = (3x² - 15x - 6x + 30)

⇒ y = (3x² - 21x + 30)

⇒ y = 3x² - 21x + 30

If possible, reorganize the equation in standard form:

⇒ y = 3x² - 21x + 30 (In standard form)

I think this is the answer .

Answer:

4.4

Step-by-step explanation:

If you graph y=7x-9 and y=3x-1 the two lines will intersect at one point.  That is how you graphically "solve" the system of equations.

Both of these lines are of the form y=mx+b where m is the slope and b is the y-intercept.

So for y=7x-9, the slope is 7 and the y-intercept is -9

For  y=3x-1, the slope is 3 and the y-intercept is -1

....

The solution for this system occurs when both coordinates are equal to each other so we can say:

7x-9=3x-1  subtract 3x from both sides

4x-9=-1  add 9 to both sides

4x=8  divide both sides by 4

x=2, making y=3x-1 become:

y=3(2)-1=6-1=5, so the solution to the system of equations is:

(2,5)

Answer:

Part A: If you graph the pair of equations shown above both lines will intersect at one point and that is how you would solve the system of equations graphically. The y intercept and slope for each equation would be for y = 7x − 9 it would have a slope of 7 and y intercept of -9 and y = 3x − 1 would have a slope of 3 and y intercept of -1.

Part B:The solution to the pair of equations is (2,5)

Answer:

4240 in²

rectangle prism area: 2(wl+hl+hw)

=======

area:

The perimeter of the pentagon with apothem of 5cm is 28.87cm

The sum of all the external sides of the pentagon is its perimeter.

First we need to calculate the half of one of its sides using the SOH CAH TOA

tan 30 = x/5

x = 5 tan 30

x = 2.89

One of the sides = 2(2.89) = 5.77 cm

Perimeter of th pentagon  = 5(5.77) = 28.87

Hence the perimeter of the pentagon with apothem of 5cm is 28.87cm

Learn more on perimeter of pentagon here: https://brainly.com/question/11484726

Answer:

14

Step-by-step explanation:

you can do 9 x 14 and get 126