how to find X using pythagorean theorem if the other two sides are 10 and 8

If you vertically stretch the exponential function f(x)=2^x by a factor of 3, the resulting function will be y = 3*2^x

The standard exponential function is expressed as:

y = ab^x

The value of x determines the nature of a graph whether vertical or horizontal stretch.

If x  > 1, it is a vertical stretch

Given the function f(x) = 2^x, if you vertically stretch the exponential function f(x)=2^x by a factor of 3, the resulting function will be y = 3*2^x

Learn more on vertical stretch here: https://brainly.com/question/14325265

#SPJ1

Answer:

A

Step-by-step explanation:

diameter

The another name for the chord that passes through the center of the circle is the diameter.

The correct option is (A).

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point.

As per the given data:

We have to find out the alternate name for a chord that passes through the center of a circle out of the given options.

Diameter:

It's a chord that passes through the center and touches the ends of the circumference of the circle.

Hence, this is correct.

Circumference:

It's the length of the boundary of a circle, hence this cannot be a chord.

This is incorrect.

Center:

It's a point and a chord is a line, hence this cannot be true.

Radius:

A radius is not a chord, as it does not touch the endpoints on the circumference of the circle.

The another name for the chord that passes through the center of the circle is the diameter.

Hence, The another name for the chord that passes through the center of the circle is the diameter.

To learn more about circle, click:

brainly.com/question/29142813

#SPJ5

Answer: 0.9973 .

Step-by-step explanation:

Given: Weights of students in a junior college follows normal distribution with a mean = 100 lbs and a standard deviation =18 lbs.

Let X denotes the random variable that represents the weights of students .

Then, the probability that a student drawn at random will weigh less than 150 lbs will be :

\(P(X<150)=P(\dfrac{X_\mu}{\sigma}<\dfrac{150-100}{18})\\\\=P(Z<2.78 )\ \ \ \ [Z=\dfrac{X_\mu}{\sigma}]\\\\ =0.9973\ \ \ [\text{By p-value table for z}]\)

Hence, the e=required probability is 0.9973 .

Answer:

59.5

Step-by-step explanation:

First we have to multiply 7 by 17 (7x17).

Then you have to divide it by 2.

1/2 X base x height

Given that you wish to travel from the west-most point \($s$\) to the east-most point \($t$\) of a 1-dimensional segment.

There are \($n$\) teleporters on this 1-D segment and each teleporter has 2 endpoints, then to use the teleporters to travel from \($s$\) to \($t$\):

First, the locations of all the teleporters on the 1-D segment should be determined.

Let the location of the \($i^{th}$\) teleporter be given by \($p_i$\) and it can teleport you to the location \($q_i$\). The \($i^{th}$\) teleporter costs \($c_i$\) dollars to use.

Secondly, a graph \($G = (V,E)$\) should be constructed, where \($V$\) is the set of nodes and\($E$\) is the set of edges.

Each node \($u$\) in \($V$\) represents a location in the 1-D segment. An edge \($e = (u,v)$\) in \($E$\) represents the ability to move from node \($u$\) to node \($v$\) without teleportation and has a weight of 1.

Thirdly, to utilize the teleporters to reach \($t$\) from \($s$\), add edges in \($E$\) to represent the use of each teleporter. For each teleporter, create two edges \($(p_i, q_i)$\) and \($(q_i, p_i)$\) with a weight of \($c_i$\).

Finally, run a shortest path algorithm like Dijkstra's algorithm to find the shortest path from\($s$\) to \(\($t$\)\) on the constructed graph \($G$\).

to know more about 1-dimensional segment visit:

https://brainly.com/question/2273149

#SPJ11

Answer:

a. x>_1

Step-by-step explanation:

-4x+6<_2x

6<_2x+4x

6<_6x

1<_x

x>_1

The equation of the line that is perpendicular to the given line and that passes through the given points is x + 3y = 6

From the question, we are to determine the equation of the described line.

First,

We will determine the slope of the line that the equation was given.

The equation of the line is

y = 3x - 9

Comparing the equation to the general form of the equation of a straight line

y = mx + b

Where m is the slope

and b is the y-intercept

Thus,

By comparison,

m = 3

That is, the slope of the given line is 3

NOTE: Two lines are perpendicular if the product of their slope is -1.

That is,

m₁ × m₂ = -1

3 × m₂ = -1

m₂ = -1/3

The slope of the line that is perpendicular to the given line is -1/3.

We have that the line passes through the point (3, 1).

Then,

Using the point-slope form of the equation of a line

y - y₁ = m(x - x₁)

m = -1/3

x₁ = 3

y₁ = 1

Then,

y - 1 = -1/3(x - 3)

Multiply through by 3

3(y -1) = -1(x - 3)

3y - 3 = -x + 3

3y + x = 3 + 3

x + 3y = 6

Hence, the equation of the line that is perpendicular to the given line and that passes through the given point is x + 3y = 6

Learn more on Equation of a line here: https://brainly.com/question/11752607

#SPJ1

Answer:

y=2x-2

Step-by-step explanation:

2x-y=2

   +y  +y      1)add y to both sides

2x=y+2

-2     -2        2) Substract 2 from both sides

2x-2=y

y=2x-2         3) Use the Refelxive POE to flip the sides

Answer:

y=2x-2

Step-by-step explanation:

Answer: The material will cost Meghana $95.84 before taxes.

Step-by-step explanation:

a. To find the area of Meghana's kite, we first need to convert the dimensions from feet to yards since the material is sold per square yard:

Length = 18 ft = 6 yards (since 1 yard = 3 feet)

Width = 4 ft = 4/3 yards (since 1 yard = 3 feet)

The area of the kite is the product of its length and width:

Area = Length x Width = 6 x 4/3 = 8 square yards

b. Meghana needs enough material to cover both sides of her kite, so she needs twice the area of the kite:

Area of both sides = 2 x Area of one side = 2 x 8 = 16 square yards

Therefore, Meghana needs 16 square yards of nylon material.

c. The material is sold for $5.99 per square yard, so the total cost of the material before taxes is:

Total cost = Cost per square yard x Number of square yards

Total cost = $5.99 x 16 = $95.84

Therefore, the material will cost Meghana $95.84 before taxes.

For the equation:

The slope is

And the y-intercept is (0,-4)

Since the two lines does not have the same slope, they are not parallel.

Since the product of the slope of the two lines is not equal to -1, they are not perpendicular.

The slopes are neither equar nor opposite reciprocals.

Answer:

94 pizzas will be sold

Step-by-step explanation:

We have to use the equation and replace 15 with x.

x=15

y=3.4x + 43

y=3.4(15) + 43

y=51 + 43

y=94

(15,94)

There will be 94 pizzas sold nightly if 15 coupons were issued.

Answer: To answer this question, substitute the number of tickets sold for the x value.

y = 3.4(15) + 43

Solve the equation by first multiplying the 3.4 and the 15.

3.4 x 15 = 51

This leaves your equation looking like this:

y = 51 + 43

The final step is to add he two integers together.

51 + 43 = 94

So the final answer is y = 94

Therefore, there will be 94 pizzas sold nightly if 15 coupons were issued.

Hope this helps... Plz mark me brainliest if i am correct... Stay safe and have a great weekend!!! :D

You have the following expression:

In order to express the previous number as an expression with the imaginary unit, you consider the following:

where the square root of -1 is the imaginary unit i by definition. Thus, by replacing you obtain:

Hence, the given expression in terms of the imaginary unit is :

Answer:

The rate at which the tank is being emptied is 25 gallons per minute, which means that the change in the amount of oil in the tank per minute is -25. Let's assume that the initial amount of oil in the tank is 2500 gallons and the capacity of the tank is 3000 gallons.

The equation that relates the amount of oil in the tank, V, and time, t, is given by:

V = 2500 - 25t

This equation represents a linear relationship between the amount of oil in the tank and time. As time increases, the amount of oil in the tank decreases linearly at a rate of 25 gallons per minute.

The capacity of the tank, c, is 3000 gallons, which means that the tank will be completely emptied after:

t = (3000 - 2500) / 25 = 20 minutes

After 20 minutes, the amount of oil in the tank will be:

V = 2500 - 25(20) = 2000 gallons

The square root of twenty-four minus eight is 5.19615242271, and it would be plotted between 5 and 6, but closer to 5 on a number line.

A horizontal line with uniformly spaced numerical increments is referred to as a number line.

The way the number on the line can be replied will depend on the numbers on the line.

The number's intended use is described in the question that goes with it, such as when graphing a point.

Locating numbers, comparing numbers, fractions and mixed numbers, decimals, integers, absolute value, addition, subtraction, inequalities, multiples, common denominators, and other mathematical concepts may all be taught using number lines, which are incredibly versatile manipulatives.

We have the expression,

the square root of 35 minus 8.

In numeric form,

√(35-8)

Simplifying,

√(35-8)

= √(27)

= 3√(3)

= 5.19615242271

That means,

√(27) is  5.19615242271.

If we round that off, the number will be 5.

So, between 5 and 6,

but closer to 5.

Therefore, √(29) would be plotted between 5 and 6, but closer to 5 on a number line.

To learn more about the number lines;

brainly.com/question/24644930

#SPJ1

Answer:

Step-by-step explanation:

1.35q^10

2.12w^4

3.32x^4

4.10^8

5.30s^7

6.8^4

7.30s^9

8.1728x^6

9.6x^5

10.1y^7

11.25^5

12.24k^8

13.2y^6

14.1d^7

15.2l^3

The value of a₂₆ in the  arithmetic sequence aₙ=  14 + 9n is 248.

The correct option is D.

A series of integers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.

Given:

An arithmetic sequence,

aₙ=  14 + 9n

We have to find the value of a₂₆.

That means, n = 26.

Substitute the value of n = 26 to the sequence,

a₂₆ =  14 + 9(26)

a₂₆ =  14 + 234

a₂₆ =  248

Therefore, the value of a₂₆ is 248.

To learn more about the arithmetic sequence;

https://brainly.com/question/29616017

#SPJ1

The given expression "the square of a number is 3 less than four times the number" is represented as x² = 3 - 4x and the values of number could be: x1= 0.645 , x2= -4.645

In mathematics, when we refer "square of a number" we mean that the exponent of that number is 2. So we express it mathematically as:

x²

When we express "3 less than" of a number we mean that the number 3 is subtracting that number. So we express it mathematically as: 3 -

x² = 3 -

When we express "four times the number" we mean that the number is exactly 4 times greater than a number or that it contains it 4 times. So we express it mathematically as: 4x

x² = 3 - 4x

Organizing the values, we have a quadratic equation: x² + 4x – 3 = 0

Where:

Solving the quadratic question we get the values for the (x) number

x= {- b ± √ [b² - (4* a*c)]} / (2 *a)

x= {- 4 ± √ [4² - (4* 1*-3)]} / (2 * 1)

x= {- 4 ± √ (16 + 12)} / 2

x= {- 4± √ 28} / 2

x= (- 4 ± 5.29 ) / 2

x1= (- 4 + 5.29 ) / 2

x1= (1,29) / 2

x1= 0.645

x2= (- 4 - 5.29 ) / 2

x2= (9.29) / 2

x2= -4.645

We can check the values, replacing them into the equation:

(x1)² = 3 - 4(x1)

(0.645)² = 3 - 4*(0.645)

0.42 = 0.42

(x2)² = 3 - 4(x2)

(-4.645)² = 3 - 4*(-4.645)

21.58 = 21.58

It is an algebraic equation where the polynomial formed has three terms, one variable has an exponent 2, another in which the variable has exponent 1 and the last term without any variable. Its standard form is:

ax²+ bx + c = 0

Learn more about quadratic equation at: brainly.com/question/25841119 and brainly.com/question/7784687

#SPJ4

Answer:

al hermano mayor le corresponde 1656 dolares

Step-by-step explanation:

The first transformation is a translation one unit up.

The second transformation is a translation of four units left.

The scale factor is 2.5.

According to the transformations above, the circles are similar, they are related with a scale factor of 2.5.

The equation of the preimage is

The equation of the image is

Answer:

Rectangle is the correct answer hope it helps you have a great day keep smiling be happy stay safe ☺️

A rectangle is a special type of parallelogram. Any parallelogram has two pairs of opposite parallel sides. A rectangle is a parallelogram where all four angles are the same, and all four angles are 90 degrees.

Keep in mind that not all parallelograms are rectangles, but any rectangle is always a parallelogram.

In slight contrast, a trapezoid has exactly one pair of parallel lines, while the other pair of opposite sides are not parallel. Triangles of any kind can be ruled out because they don't have any parallel sides at all.

Answer:

Incomplete question

...

Answer:

A. \(\frac{1}{5}\)

Step-by-step explanation:

⭐ What is the multiplicative rate?

To find the multiplicative rate of this exponential function, we need to make an equation to see what each y-value gets multiplied by to get the next y-value.

I am picking the y-values 2 and 2/5, but you can choose any two consecutive y-values.

Equation (let x= the multiplicative rate of change):

\(2x = \frac{2}{5}\)

Solve for x:

\(\frac{2x}{2} = \frac{2}{5}(2)\)

\(x = \frac{2}{10}\)

Simplify:

\(x = \frac{1}{5}\)

∴ The multiplicative rate of change of the function is 1/5.

Answer: put A

Step-by-step explanation:

Put A cause 1 can’t be measure so you have to add 4 .

Answer:

210

Step-by-step explanation:

Jen simulated her net income over 5 years assuming sales vary based on a normal distribution $100,000 and operating costs 60% and 65% of sales. keeping the loan payment be fixed at $13,000. The probability of making at least $12,000 each year is the number of successful simulations divided by 100. and at least $60,000 total over 5 years based as the number of successful simulations divided by 100.

To simulate Jen's annual net income over the next 5 years, a spreadsheet model can be created with columns for year, sales, operating costs, loan payment, and net income.

For each year, the sales can be generated from a normal distribution with mean $100,000 and standard deviation $10,000, and the operating costs can be generated from a uniform distribution between 60% and 65% of sales.

The loan payment can be fixed at $13,000, and the net income can be calculated as the difference between the sales, operating costs, loan payment, and taxes (28% of net income).

To find the probability that Jen will make at least $12,000 in each of the next five years, 100 simulations can be run using the model created in part a. For each simulation, the net income for each of the next five years can be calculated, and if the minimum net income is at least $12,000 for each year, then the simulation is counted as a success.

The probability of success can be calculated as the number of successful simulations divided by 100.

To find the probability that Jen will make at least $60,000 total over the next five years, 100 simulations can be run using the model created in part a. For each simulation, the total net income over the next five years can be calculated, and if it is at least $60,000, then the simulation is counted as a success.

The probability of success can be calculated as the number of successful simulations divided by 100.

To know more about Probability:

https://brainly.com/question/11234923

#SPJ4

Answer:

the exponent is -8, since when you're dividing these with teh same base, in this case 9, you just have to subtract the exponents, so it's 9^-8

Step-by-step explanation:

9514 1404 393

Answer:

  1/9^8

Step-by-step explanation:

The applicable rules of exponents are ...

  a^-b = 1/a^b

  (a^b)(a^c) = a^(b+c)

__

  \(\dfrac{9^{-5}}{9^3}=\dfrac{1}{9^5\cdot9^3}=\dfrac{1}{9^{5+3}}=\boxed{\dfrac{1}{9^8}}\)

Answer:

The true statements about solving equations are:

-You are using inverse operations to isolate the variable.

-Order of operations is often done in reverse order.

Answer: the true statements are. you are inverse operations to isolate the variable. the addition property is usually used first. and Order of operations is often done in reverse order

Step-by-step explanation:

The majority of the playground is covered in asphalt.

The majority of the playground is covered in asphalt because the pathway connecting the two sections and the two sections themselves are all covered in asphalt. Asphalt is a popular material for playgrounds because it is durable, low maintenance, and easy to use. The asphalt covering the slide and swing set will provide a safe surface for children to play on.

Furthermore, the asphalt surface provides traction to help children maintain their balance as they climb and play. The asphalt also helps prevent water from pooling on the playground, reducing the risk of slips and falls. Overall, the asphalt covering the majority of the playground provides a safe and secure playing surface for children.

Learn more about Asphalt here:

https://brainly.com/question/431314

#SPJ4