solve for X X - 15 =y

By looking at the y-intercept, we conclude that the correct option is A.

We want to find the graph of the equation:

y = 3*(2ˣ)

Notice that when x = 0 (so the y-intercept) we have:

y = 3*(2⁰) = 3

So the y-intercept must be 3.

From that we conclude that the correct option is A.

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Answer:

y = 300

Step-by-step explanation:

y = 250 (1+0.2)

First add the 1 and 0.2

y=250(1.2)

multiply 250 with 1.2

y = 300

:)

Answer: 5x/13

Step-by-step explanation:

x in this is representative of the number
quotient means to divide

Answer:

2.6

2  6/10

2.3

2  R3

2  3/5

Step-by-step explanation:

For the Random variables, X and Y where both are nonnegative for all points in a sample space S. The expected value of Z ( random variable) is, E(Z) = E(X) + E(Y).

We have X and Y are random variables and that X and Y are non-negative for all points in a sample space S. Let us consider X be another random variable defined as Z(s) = max( X(s), Y(s))

for all elements s belongs to S. We have to show that E( Z) = E(X) + E(Y)

Now, for simple way of representation let

Max ( X(s),Y(s)) = Max(X,Y)

We know that Max(X,Y) = [(X+Y) + |X-Y|]

So, Z = Max(X,Y) = [(X+Y) + |X-Y|]

Taking expectations E(Z) = E(Max(X,Y)

= E{[(X+Y) + |X-Y|]}

\(E(Z)= \frac{1}{2} [E(X+Y) + E|X-Y|] = [E(X) + E(Y) + E|X-Y|] \\ \) (Since E(X + Y) = E(X)+ E(Y))

\(E(Z) = \frac{1}{2}[E(X)+ E(Y) + E|X| + E|-Y|]\\ \)

\(= \frac{1}{2} [E(X) + E(Y) + E(X) + E(Y)]\) (Since X and Y are non negative so E|X| = E(X) and E(-Y)=E(Y) )

=> E(Z) = E(X)+ E(Y)

Hence, required results occurred.

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Answer:

A.

Step-by-step explanation:

The equation of the line with the given slope and the y-intercept.

slope = 1/5; y-intercept = -5 is y = 1 / 5 x - 5

The equation of a line can be described as follows:

y = mx + b

where

Therefore,

slope of the line = 1 / 5

y-intercept = - 5

Hence, the equation of the line can be represented as follows:

y = 1 / 5 x - 5

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Answer:

D

Step-by-step explanation:

I hope this helps :) Have a lovely day!!!

Answer:

240

Step-by-step explanation:

The difference in the account balance after 30 years is $345.31.

What is compounded continuously?

Theoretically, continuously compounded interest means that an account balance continuously earns interest as well as reinvesting that interest into the balance so that it too earns interest.

Given:

A business owner invested $7,000 in a treasury bond paying 4.3% compounded semiannually.

After 30 years, the value of the bond will be $25,084.20.

The business owner's investment was compounded continuously instead of twice per year.

We have to find the difference in the account balance after 30 years?

Consider, the compounded continuously formula,

\(A = Pe^r^t\)

Plug p = 7000

r = 4.3% = 0.043

t = 30

⇒ \(A = 7000e^(^0^.^0^4^3^*^3^0^) = 25429.51\)

A = $25429.51

So, the difference is, $25429.51 - $25084.20 = $345.31

Hence, the difference in the account balance after 30 years is $345.31.

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Answer:

|A| - C = 5

Step-by-step explanation:

The maximum value that a sine function can have is 1, and the minimum value is -1.

With this information, to find the minimum value of y, we can use sin(Bx) = -1, and to find the maximum value, we can use sin(Bx) = 1. Then, we have that:

19 = A + C

-5 = -A + C

Summing both equations, we have:

14 = 2C

C = 7

Now, to find the value of A, we can use the first equation:

19 = A + C

19 = A + 7

A = 12

So the value of |A| - C is:

|12| - 7 = 12 - 7 = 5

Answer:

2x = 2x

Step-by-step explanation:

2x + 6 = 3x + 6 - x

2x = 3x - x(cancel equal terms)

2x=2x

Answer:

6. (x,y) -> (x,y-4)

7. (x,y) -> (-x,y)

Step-by-step explanation:

6. You shift it 4 units down. Y makes things go up and down.

7. Youre flipping it over the Y axis. It doesnt change the Y values, only the X.

The expression \(64 - x^2\) is equivalent to (8 + x)(8 - x).

The expression \(64 - x^2\) can be simplified using the difference of squares formula, which states that \(a^2 - b^2\)  is equal to (a + b)(a - b).

Applying this formula to the given expression, we have:

\(64 - x^2 = (8^2) - x^2\)

Using the difference of squares formula, we can rewrite this expression as:

(8 + x)(8 - x)

Therefore, the expression \(64 - x^2\)  is equivalent to (8 + x)(8 - x).

This expression represents the difference of two squares, where the value 8 is squared and subtracted by the value x squared.

When simplified, it becomes the product of the sum and difference of the terms 8 and x.

It is worth noting that (8 + x)(8 - x) is a special product known as a difference of squares because it follows a specific pattern of multiplication.

This expression is useful for factoring and simplifying quadratic expressions, as it allows us to rewrite them in a more manageable form.

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Answer:

64 square centimeters

Step-by-step explanation:

The surface are of a pyramid is found by finding the sum of the area of the four sides and the base.

Finding the triangular face:

Area of triangle = \(\frac{1}{2} b h\) = \(\frac{1}{2}*4*6 = 12\)

12 * 4 (4 sides) = 48 square cm

Finding the Base = \(w * l = 4 * 4 = 16\)

Finally, we add it together. 48 + 16 = 64

Triangle properties include triangle inequality, angle sum, congruence, exterior angle theorem, and isosceles triangle theorem.

1. Triangle Inequality: The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

2. Angle Sum of a Triangle: The sum of the angles of a triangle is always equal to 180°.

3. Congruence of Triangles: If two triangles have all three sides equal, then they are congruent (the same size and shape).

4. Exterior Angle Theorem: The measure of an exterior angle of a triangle is equal to the sum of the measures of the two interior angles that are not adjacent to it.

5. Isosceles Triangle Theorem: If two sides of a triangle are equal in length, then the angles opposite those sides are also equal in measure.

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The five properties of triangle is listed below.

The term triangle is defined as the polygon with three angle, sides and vertices.

Here we have to list down the properties of triangle.

The basic five properties of triangle are as follows:

1) in geometry, total amount of space inside the triangle is called the area of a triangle. And it is measured by square units.

2) The property of perimeter of a triangle is equal to the sum of all three sides of the triangle.

3) And the another property states that sum of the length of the two sides of a triangle is greater than the length of the third side.

4) according to the angle, the property states that sum of the angles of a triangle is always 180 degrees.

5) If angles of an equilateral triangle are equal and has a measure of 60⁰ each.

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Step-by-step explanation:

Floyd is an aspiring music artist. He has a record contract that pays him a base rate of $200 a month and an additional $12 for each album that he sells. Last month he earned a total of $644. Write an equation that represents this situation! Then solve your equation.

644 = 12a + 200

444 = 12a

a = 37

Answer:

y = 5x + 15

Step-by-step explanation:

your equation is:

y = mx + b

or:

cost = cost per hour + flat rate

y = 5x + 15

Answer:

-14

Step-by-step explanation:

The absolute value of -14 is + 14.  If prefaced with a " - " sign, |-14| comes out as -14:

-|-14) = -14

Answer:

60

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

Answer:

rational

Step-by-step explanation:

using the rule of exponents

\(\sqrt{a}\) × \(\sqrt{b}\) = \(\sqrt{ab}\)

then

3\(\sqrt{2}\) × 8\(\sqrt{18}\)

= 3 × 8 × \(\sqrt{2}\) × \(\sqrt{18}\)

= 24 × \(\sqrt{2(18)}\)

= 24 × \(\sqrt{36}\)

= 24 × 6

= 144

A rational number can be expressed in the form

\(\frac{a}{b}\) ( where a and b are integers )

144 = \(\frac{144}{1}\) ( 144 and 1 are integers )

Thus the product is rational

The radius of the hole to the nearest hundredth of a 0.27 foot

Scientists are drilling a hole in the ocean floor to learn more about the​ Earth's history.

Shape of hole is cylinder.

Volume of that cylindrical hole = 3800 cubic feet

Height = 3.1 miles

1 mile = 5280 feet

3.1 miles= 3.1(5280)

             = 16368 feet

volume of cylinder = πr²h

r²=V/πh

r²=3800/(16368)π=0.073936

r=\(\sqrt{0.073936}\)=0.27 foot

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the graph of the function g(x) = |x + 3|  will not have a negative value. graph of the given function is attached below.

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

Given a function  g(x) = |x + 3|.

Since the modulus of a function is a function that gives the absolute value of a number or variable. It produces the magnitude of the number of variables. It is also termed an absolute value function. The outcome of this function is always positive, no matter what input has been given to the function.

Thus,

The domain of this function g(x) is - infinite to  + infinite

And range will be [0, ∞)

So the graph of the function g(x) = |x + 3|  will not have a negative value.

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The sum of first 10 terms is 72.

Concept: Arithmetic Progression (AP) is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value. It is also called Arithmetic Sequence.

Arithmetic Progression Formula

= an - a. nth term of an AP: an = a + (n - 1)d. Sum of n terms of an AP: Sn = n/2(2a+(n-1)d) = n/2(a + l), where l is the last term of the arithmetic progression.

Given:

Eighth term is 8.2

Common difference is 0.4

a(8) = 8.2

a + 7d = 8.2

Since d = 0.4

a + 7(0.4) =8.2

a = 5.4

Sum of 10 terms = n/2 (2a+(n-1)d)

= 5(2*5.4 + 9*0.4)

=5(10.8 +3.6)

Sum=72

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h = 11.9 cm

cos = adjacent/ hypotenuse

therefore:

cos(24) = h/ 13

rearrange:

h = 13cos(24)

put into calculator:

h = 11.8760...

rounded to one decimal point:

h = 11.9cm

Answer:

d=7

Step-by-step explanation:

Answer:

150x6.5

=975 cm

Step-by-step explanation:

To verify the answer

975÷6.5

=150

Answer:  \(y=\frac{3}{4} x\)

Step-by-step explanation:

        We will create a point-slope equation to solve.

        First, we need to find the slope.

\(\displaystyle \frac{y_2-y_1}{x_2-x_1}= \frac{6--3}{8--4} =\frac{9}{12} =\frac{3}{4}\)

        Next, we will create our point-slope equation.

\(\displaystyle y-y_1=m(x-x_1)\)

\(\displaystyle y--3=\frac{3}{4} (x--4)\)

 \(\displaystyle y+3=\frac{3}{4} (x+4)\)

 \(\displaystyle y=\frac{3}{4} x+3 -3\)

 \(\displaystyle y=\frac{3}{4} x\)

Answer:

4

Step-by-step explanation:

We plug x in as -5 so we have: |-5+1|

|-5+1| = |-4| = 4