which of the following is equivalent to 2x+3y=6

A. y=-2/3x+2
B. y=-2/3x
C. y=2/3x-6
D. y=-3/2x+2

Answer:

a = 12

Step-by-step explanation:

as C^2 = A^2 + B^2

by Pythagoras theorem

so

A^2 = C^2 - B^2

= 13^2 - 5^2

= 169- 25

144

as 12^2 is equal to 144

hence side a is equal to 12

Answer:

[tex]h^2 = p^2 + b^2 \\ {13}^{2} = {p }^{2} + {5}^{2} \\ 169 = {p }^{2} + 25 \\ 169 - 25 = {p}^{2} \\ 144 = {p}^{2} \\ \sqrt{144} = p \\ 12 = p \\ p = 12[/tex]

9514 1404 393

Answer:

  24 cm

Step-by-step explanation:

The perimeter of the left-side triangle is ...

  20 +25 +15 = 60 cm

The scale factor to the right-side triangle is the ratio of corresponding sides. The scale factor of perimeters is the same.

  XZ/LN = perimeter(XYZ)/perimeter(LMN)

  6/15 = P/(60 cm)

  P = (60 cm)(6/15) = 24 cm

The perimeter of ΔXYZ is 24 cm.

Answer: -2x+9

Step-by-step explanation:

(3

Answer:

It wasnt letting me answer so I put it in the comments but the answer is -2x+9

Step-by-step explanation:

Brainliest??

Step-by-step explanation:

Answer:

that is an addition sign  the correct answer is B

Step-by-step explanation:

Answer:

Step-by-step explanation:

The surface area of a rectangular prism is

A=2(xy+xz+yz), where x,y,z are the dimensions, in this case

A=2(8(8)+8(10)+8(10))

A=2(64+80+80)

A=2(224)

A=448in^2

So the minimum amount of wrapping paper is 448in^2

Answer:

Use Photomath

Step-by-step explanation:

Answer:

35 + 28 + 21 + 6 + 6 = 96

Answer:

Volume of the cone is increasing at the rate [tex]9916\pi \frac{in^3}{s}[/tex].

Step-by-step explanation:

Given: The radius of a right circular cone is increasing at a rate of [tex]1.9[/tex] in/s while its height is decreasing at a rate of [tex]2.2[/tex] in/s.

To find: The rate at which volume of the cone changing when the radius is [tex]134[/tex] in. and the height is [tex]136[/tex] in.

Solution:

We have,

[tex]\frac{dr}{dt} =1.9 \:\text{in/s}[/tex], [tex]\frac{dh}{dt}=-2.2\:\text{in/s}[/tex], [tex]r=134 \:\text{in}[/tex], [tex]h=136\:\text{in}[/tex]

Now, let [tex]V[/tex] be the volume of the cone.

So, [tex]V=\frac{1}{3}\pi r^{2}h[/tex]

Differentiate with respect to [tex]t[/tex].

[tex]\frac{dv}{dt} =\frac{1}{3}\pi \left [ r^2\frac{dh}{dt}+h\left ( 2r \right )\frac{dr}{dt} \right ][/tex]

Now, on substituting the values, we get

[tex]\frac{dv}{dt} =\frac{1}{3}\pi\left [ \left ( 134 \right )^2\left ( -2.2 \right )+\left ( 136\right )\left ( 2 \right )\left ( 134 \right )\left ( 1.9 \right ) \right ][/tex]

[tex]\frac{dv}{dt} =\frac{1}{3}\pi\left [ -39503.2+69251.2 \right ][/tex]  

[tex]\frac{dv}{dt} =\frac{1}{3}\pi\left [ 29748 \right ][/tex]

[tex]\frac{dv}{dt} =9916\pi \frac{in^3}{s}[/tex]

Hence, the volume of the cone is increasing at the rate [tex]9916\pi \frac{in^3}{s}[/tex].

Answer:

Polynomial comes from poly- (meaning "many") and -nomial (in this case meaning "term") ... so it says "many terms"

Also they can have one or more terms, but not an infinite number of terms.

These are polynomials:

3x

x − 2

−6y2 − ( 79)x

3xyz + 3xy2z − 0.1xz − 200y + 0.5

512v5 + 99w5

5

(Yes, "5" is a polynomial, one term is allowed, and it can be just a constant!)

These are not polynomials

3xy-2 is not, because the exponent is "-2" (exponents can only be 0,1,2,...)

2/(x+2) is not, because dividing by a variable is not allowed

1/x is not either

√x is not, because the exponent is "½" (see fractional exponents)

But these are allowed:

x/2 is allowed, because you can divide by a constant

also 3x/8 for the same reason

√2 is allowed, because it is a constant (= 1.4142...etc)

Monomial, Binomial, Trinomial

There are special names for polynomials with 1, 2 or 3 terms:

monomial, binomial, trinomial

Variables

Polynomials can have no variable at all

Example: 21 is a polynomial. It has just one term, which is a constant.

Or one variable

Example: x4 − 2x2 + x   has three terms, but only one variable (x)

Or two or more variables

Example: xy4 − 5x2z   has two terms, and three variables (x, y and z)

What is Special About Polynomials?

Because of the strict definition, polynomials are easy to work with.

For example we know that:

If you add polynomials you get a polynomial

If you multiply polynomials you get a polynomial

So you can do lots of additions and multiplications, and still have a polynomial as the result.

Also, polynomials of one variable are easy to graph, as they have smooth and continuous lines.

Example: x4−2x2+x

x^4-2x^2+x  

See how nice and

smooth the curve is?

You can also divide polynomials (but the result may not be a polynomial).

Degree

The degree of a polynomial with only one variable is the largest exponent of that variable.

Example:

4x3-x-3 The Degree is 3 (the largest exponent of x)

For more complicated cases, read Degree (of an Expression).

Standard Form

The Standard Form for writing a polynomial is to put the terms with the highest degree first.

Example: Put this in Standard Form: 3x2 − 7 + 4x3 + x6

The highest degree is 6, so that goes first, then 3, 2 and then the constant last:

x6 + 4x3 + 3x2 − 7

You don't have to use Standard Form, but it helps.

Answer:

Mean of the numbers is 41

Step-by-step explanation:

1) You add 28 + 40 + 53 +39 +45

2) Divide whatever number by 5 because that is how many numbers there are given

In this case it would  205 divided by 5 which is how I get 41

Answer:

780,000 if it was at least 785k then you round it to 790k

Answer:

107

Step-by-step explanation:

f(x)=7x^(2)-5

f(4) means that x=4

f(4)=7*4^(2)-5

    = 7 * 16 -5

    = 112 -5

    = 107

Answer:

The given information is not sufficient to make any conclusion.

We need total number of students in each class to determine the percentage of students in each class who prefer to do their homework before dinner.

If the total number is same in each class, then we can say yes otherwise we need exact numbers.

Answer:

By the Central Limit Theorem, the sampling distribution is approximately normal, with mean 30 and standard deviation 0.1.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

The batteries produced in a manufacturing plant have a mean time to failure of 30 months with a standard deviation of 2 months.

This means that [tex]\mu = 30, \sigma = 2[/tex]

Sample of 400 batteries. The sampling distribution of is approximately:

So [tex]n = 400, s = \frac{\sigma}{\sqrt{n}} = \frac{2}{\sqrt{400}} = 0.1[/tex]

By the Central Limit Theorem, the sampling distribution is approximately normal, with mean 30 and standard deviation 0.1.

The terms of a mathematical expression are parts of the expression that are connected with addition or subtraction. The factors in a mathematical expression are parts of the expression that are connected with multiplication.  

I don't know what you meant  but I hope this helps.

12/14 reduces to 6/7 is what is completed 1/7 is left

Answer:

it should be the last one

Step-by-step explanation:

Answer:

5 1/4 or 21/4

Answer:

5 1/4 or 5.25

Step-by-step explanation:

2 7/8 + 2 3/8 Equation

23/8 + 19/8 Turn into improper fraction

42/8 Add

21/4 Simplify (divide numerator and denominator by 2)

5 1/4 (5.25) Turn into mixed fraction or decimal

Answer:

It will take 23 years for the account to grow to $7000.

Step-by-step explanation:

Simple Interest

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

[tex]T = E + P[/tex]

Carly has a bank account with a balance of $3,575.

This means that [tex]P = 3575[/tex]

The account pays simple interest at a rate of 4.15%.

This means that [tex]I = 0.0415[/tex]

How long will it take for the account to grow to $7000?

[tex]T = 7000[/tex]

The interest is:

[tex]T = E + P[/tex]

[tex]E = T - P = 7000 - 3575 = 3425[/tex]

Now we have to find t.

[tex]E = P*I*t[/tex]

[tex]3425 = 3575*0.0415*t[/tex]

[tex]t = \frac{3425}{3575*0.0415}[/tex]

[tex]t = 23.1[/tex]

Rounding to the nearest year, it will take 23 years for the account to grow to $7000.

Answer:

The answer is 1898.37

if you click the image it will show you how to solve the equation. I hope this helps you.

Answer:

29

Step-by-step explanation:

Hope this helps

mark me brainlist

Answer:

27

Step-by-step explanation:

We know the missing angle for the triangle on the left is 63. And that is the same angle reflected to the other side. There is a right angle so its 63 + 90 = 157.

180 - 157 = 27

Answer:

4/11 i believe

Step-by-step explanation:

Answer: 9/4

Step-by-step explanation:

i got this question too and 9/4 was correct. just moving the right answer from a comment on a wrong one to an actual submission

Answer:

Step-by-step explanation:

Two Decimal places

.9(29.3) = 26.37

18(5.75)= 103.50

Three Decimal places

3.21(2.4) = 7.704

50.7(14.06)= 712.842

Four Decimal places

4.2(.938)= 3.9396

.48(12.19)= 5.8512