Whats the answer. There is a sreenshot attached.

Answer: 3/2 or 1 1/2 or 1.5

Step-by-step explanation:

9/8 times 2 is 2.25 or 9/4

9/4-6/8= 3/2 or 1 1/2 or 1.5

Step-by-step explanation:

Vertex at  -4,3 would result in vertex form of parabola  

g(x) = (x+4)^2 + 3

[tex]\textit{height of an equilateral triangle}\\\\ h=\cfrac{s\sqrt{3}}{2}~~ \begin{cases} s=\stackrel{length~of}{a~side}\\[-0.5em] \hrulefill\\ h=4\sqrt{3} \end{cases}\implies 4\sqrt{3}=\cfrac{s\sqrt{3}}{2} \\\\\\ 8\sqrt{3}=s\sqrt{3}\implies \cfrac{8\sqrt{3}}{\sqrt{3}}=s\implies 8=s[/tex]

In this expression, the GCF is 5. Therefore, we can factor out a 5 to get 5(x² - y²).

The difference of squares formula states that the difference of two squares can be factored into the product of two terms, one of which is the sum of the terms and the other is the difference of the terms.

When factoring polynomials, it is important to factor out the greatest common factor (GCF).

In this expression, the GCF is 5.

Therefore, we can factor out a 5 to get 5(x² - y²).

Now, we can expand the parentheses and factor out the remaining terms. Since both terms are perfect squares, we can factor them using the difference of squares formula:

5(x² - y²) = 5(x + y)(x - y)

In this case, the terms are x and y, resulting in the factorization of  5(x² - y²) into 5(x + y)(x - y).

For more questions related to factorization

https://brainly.com/question/25829061

#SPJ1

Therefore, the answer is (A) 7x-9 when it is given that function F(x) = 4x - 8 and g(x) = -3x + 1.

In mathematics, a function is a relationship between two sets of values, where each input (or domain element) is associated with a unique output (or range element). In other words, a function is a rule or a process that takes an input (or inputs) and produces a corresponding output. Functions can be expressed using various mathematical notations, such as algebraic formulas, graphs, tables, or even verbal descriptions. They are widely used in many fields of mathematics, science, engineering, economics, and computer science, to model and solve problems that involve relationships between variables or quantities.

Here,

To find (f - g)(x), we need to subtract g(x) from f(x), so we get:

(f - g)(x) = f(x) - g(x)

Substituting the given functions, we get:

(f - g)(x) = (4x - 8) - (-3x + 1)

Simplifying the expression by distributing the negative sign, we get:

(f - g)(x) = 4x - 8 + 3x - 1

Combining like terms, we get:

(f - g)(x) = 7x - 9

To know more about function,

https://brainly.com/question/28193995

#SPJ1

The amount in the bank after 7 years increases as the compounding frequency increases, and it is highest when interest is compounded continuously.

Using the formula A = P(1 + r/n)^(nt), where:

A = the amount in the account after t years

P = the principal (initial amount)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

a) If interest is compounded annually:

A = 2000(1 + 0.05/1)^(1*7) = $2,835.08

b) If interest is compounded quarterly:

A = 2000(1 + 0.05/4)^(4*7) = $2,888.95

c) If interest is compounded monthly:

A = 2000(1 + 0.05/12)^(12*7) = $2,905.03

d) If interest is compounded continuously:

A = Pe^(rt) = 2000e^(0.05*7) = $2,938.36

Therefore, the amount in the bank after 7 years increases as the compounding frequency increases, and it is highest when interest is compounded continuously.

Learn more about simple interest below.

https://brainly.com/question/25793394

#SPJ1

Is the function above continuous: B. not continuous at x = 0.

In Mathematics and Geometry, a continuous function can be defined as a type of function in which there is no discontinuities or breaks between the intervals for the points plotted on a graph.

In Mathematics and Geometry, a discrete function can be defined as a type of function in which the ordered pair of values on the x-axis and y-axis are separate from each other and unconnected.

By critically observing the graph shown above, we can reasonably infer and logically conclude that it represents a discrete function because it is not continuous at x is equal to 0 i.e x = 0.

Read more on continuous function here: https://brainly.com/question/30089268

#SPJ1

Answer:

1/6 of flowers were blue

Using equations, we can find that the number of pop tarts that Taylor has with him, p = 13.

An equation is a mathematical statement that contains the symbol "equal to" between two expressions with identical values. as in 3x + 5 = 15, for example. There are many different types of equations, including linear, quadratic, cubic, and others.

Let the cost of one granola bar = x.

Let the cost of one pop tart = y.

Now, assume Taylor had money, m.

So, as per the question:

90x = m

⇒ x = m/90

78y = m

⇒ y = m/78

75x + py = m

Substituting the values of x and y:

⇒ 75 × m/90 + p × m/78 = m

⇒ 75m/90 + pm/78 = m

⇒ (5850m + 90pm) / 7020 = m

⇒ 5850m + 90pm = 7020m

⇒ 90pm = 7020m - 5850m

⇒ 90pm = 1170m

⇒ p = 1170m/90m

⇒ p = 13.

Therefore, the number of pop tarts, p = 13.

To know more about equations, visit:

https://brainly.com/question/29657983

#SPJ1

By answering the presented question, we may conclude that As a result, adding the isosceles triangle categorization is superfluous and redundant in this circumstance.

A triangle is a polygon since it has three sides and three vertices. It is a basic geometric shape. Triangle ABC refers to a triangle with the vertices A, B, and C. In Euclidean geometry, a single plane and triangle are obtained when the three points are not collinear. If a triangle has three sides and three corners, it is a polygon. The triangle's corners are the spots where the three sides meet. The sum of three triangle angles equals 180 degrees.

An isosceles triangle has two sides of equal length, but a right triangle has one angle that measures 90 degrees. As a result, an isosceles right triangle is one with two equal-length sides and one 90-degree angle.

The Pythagorean theorem states that in any right triangle, the two legs (the sides next to the right angle) are always of equal length. Hence, if we know that a triangle has one 90-degree angle and two equal-length sides, we already know that it is a right triangle and that the two legs are equal. As a result, adding the isosceles triangle categorization is superfluous and redundant in this circumstance.

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ1

Answer:

The answer is 2√10

Step-by-step explanation:

Hyp²=opp²+adj²

let hyp be x

x²=6²+2²

x²=36+4

x²=40

square root both sides

√x²=√40

x=2√10

the dimensions of the table runner are  [tex]20[/tex] inches in length and [tex]4[/tex] inches in width.

Let's denote the width of the table runner as "w" inches. Since the length is 5 times greater than the width, the length would be 5w inches.

The area of a rectangle is calculated by multiplying its length by its width. Given that the area of the table runner is 80 square inches, we can set up the following equation:

Length × Width = Area

[tex](5w) \imes w = 80[/tex]

Simplifying further:

[tex]5w^2 = 80[/tex]

Dividing both sides by 5:

[tex]w^2 = 16[/tex]

Taking the square root of both sides:

w = ±4

Since the width cannot be negative in this context, we discard the negative value. Therefore, the width (w) of the table runner is [tex]4[/tex] inches.

Substituting this value back into the equation for length:

Length   [tex]= 5w = 5 \times 4 = 20[/tex] inches

So, the dimensions of the table runner are  [tex]20[/tex] inches in length and 4 inches in width.

Learn more about dimensions here:

https://brainly.com/question/28688567

#SPJ1

a. There are twelve unique pentominos possible in all.

b. In total, only 6 pentominos have the refection symmetry.

What is a pentomino?

A pentomino is an order 5 polyomino, or a plane polygon formed of 5 identical squares joined edge to edge. This is just linked with a certain arrangement of squares.

a. There are twelve unique pentominos possible in all which on reflection and rotation can create multiple more pentominos.

b. In total, 6 pentominos have refection symmetry which means that now the total pentominos are 18 of which 6 have reflection symmetry.

Hence, the required solution has been obtained.

Learn more about arrangement of squares from the given link

https://brainly.com/question/27516260

#SPJ1

The standard form of the equation of the conic is x² + y² - 16x - 16y - 192 = 0.

It is a type of curve with a curved line in the middle and two straight lines on the sides. Conic sections include circles, ellipses, parabolas, and hyperbolas.

The standard form of the equation of a conic is

Ax² + Bxy + Cy² + Dx + Ey + F = 0, where A, B, C, D, E, and F are constants.

In this case, the equation of the conic is x²  + y²  - 16x - 16y - 192 = 0.

To derive this equation, we'll use the distance formula to calculate the distance between the vertices and the foci. The distance between the vertices and the foci is given by

d = √((x_1 - x_2)²  + (y_1 - y_2)²)

where (x_1, y_1) is the coordinates of the first vertex and (x_2, y_2) is the coordinates of the first foci.

For the first vertex, (x_1, y_1) = (0, 8). For the first foci, (x_2, y_2) = (0, √48). Thus, the distance between the two points is

d = √((0 - 0)²  + (8 - √48)² )

= √(0 + (-8 - √48)² )

= √(-16 - 2√48 + 48)

= √(32 -2√48)

= 2√(16 - √48)

= 2√(16 - 6.9)

= 2√(9)

= 2(3)

= 6

So, the distance between the vertices and the foci is 6.

The equation of the conic can then be written as x² + y² - 16x - 16y - (-8)² = 0, which simplifies to x² + y² - 16x - 16y - 192 = 0.

Thus, the standard form of the equation of the conic is x² + y² - 16x - 16y - 192 = 0.

For more questions related to conic

https://brainly.com/question/29132297

#SPJ1

Answer:

$140.70

Step-by-step explanation:

https://brainly.com/question/11716832

Answer:

1.2974634e+14

Step-by-step explanation:

ye

We need to collect 46 newspapers to be certain that at least two newspapers have the same number of pages.

According to the Pigeonhole Principle, if we have n+1 pigeons and n holes, then there must be at least one hole with two or more pigeons. Similarly, if we have n+1 newspapers with n possible page counts, then there must be at least one page count that appears in two or more newspapers.

In this case, we have a range of 38 possible page counts (46 - 9 + 1), so we need at least 39 newspapers to guarantee that each possible page count appears in at least one newspaper.

However, to guarantee that at least two newspapers have the same number of pages, we need one more newspaper than the number of possible page counts, so we need a total of 46 newspapers. Therefore, if we collect 46 newspapers, we can be certain that at least two of them have the same number of pages.

Read more about newspapers

brainly.com/question/28171687

#SPJ1

Therefore, the perimeter of the rectangle is 42 centimeters.

The concept of area is used in many areas of mathematics, science, and everyday life. It is used in geometry to calculate the area of various shapes, such as triangles, circles, and polygons. It is also used in physics to calculate the amount of surface area of an object that is exposed to air or water, and in architecture and engineering to determine the amount of material needed to construct a building or structure.

Here,

To find the perimeter of a rectangle, we need to know its length and width. We are given that the width of the rectangle is 9 centimeters, and the area of the rectangle is 108 square centimeters.

We can use the formula for the area of a rectangle:

Area of rectangle = length x width

Plugging in the values we have:

108cm² = length x 9cm

Solving for the length, we can divide both sides by 9cm:

length = 108cm² / 9cm

length = 12cm

So, the length of the rectangle is 12 centimeters.

To find the perimeter of the rectangle, we can use the formula:

Perimeter of rectangle = 2 x (length + width)

Plugging in the values we have:

Perimeter of rectangle = 2 x (12cm + 9cm)

Perimeter of rectangle = 2 x 21cm

Perimeter of rectangle = 42cm

To know more about area,

https://brainly.com/question/20693059

#SPJ1

Answer: The most appropriate design for this experiment is the third option:

- Number each item from 0000 to 1199.

- Reading from left to right on a random number table, identify 800 unique four-digit numbers from 0000 to 1199. Assign the items with labels in the first 400 numbers to the process 1 group. Assign the items with labels in the second 400 numbers to the process 2 group. Assign the remaining items to the process 3 group.

This design ensures that the groups are equally sized and selected randomly without any biases. The use of a random number table to assign the groups helps to avoid any systematic patterns or preferences that might arise from numbering or labeling the items directly.

Step-by-step explanation:

Answer:

18 5-dollar bills

10 20-dollar bills

We see that f(-1) = g(1) = 5. Therefore, the solution to the system of equations is x = -1.

A system of equations is a set of two or more equations that are to be solved simultaneously. Each equation in the system represents a relationship between variables, and the solution to the system is the set of values for the variables that satisfy all of the equations in the system.

One way to solve a system of equations is by substitution. We can solve one of the equations for one of the variables in terms of the other variable, and then substitute that expression into the other equation to get an equation in one variable. We can then solve that equation for the variable, and use that value to find the value of the other variable.

Another way to solve a system of equations is by elimination. We can add or subtract the equations in the system to eliminate one of the variables, and then solve for the other variable. We can then use that value to find the value of the eliminated variable.

To find a solution to the system of equations that includes the quadratic function f(x) and the linear function g(x), we need to find the value of f(x) for each value of x and compare it to the corresponding value of g(x). If f(x) and g(x) are equal for any value of x, then that value is a solution to the system.

Substituting each value of x into the quadratic function f(x), we get:

f(-2) = 2(-2)² + (-2) + 4 = 10

f(-1) = 2(-1)² + (-1) + 4 = 5

f(0) = 2(0)² + 0 + 4 = 4

f(1) = 2(1)² + 1 + 4 = 7

f(2) = 2(2)² + 2 + 4 = 14

Comparing these values to the corresponding values of g(x), we see that f(-1) = g(1) = 5. Therefore, the solution to the system of equations is x = -1.

To know more about function visit:

https://brainly.com/question/30290109

#SPJ1

Answe: The distance of light bulb can be calculated using equation of parabola. The parabola is a plane curve which is U-shaped.

Step-by-step explanation:

yes is answer   for all option   .we can check it by rules of rounding off numbers .

what is rounding ?

Rounding is the process of approximating a number to a nearby value that is easier to work with or more appropriate for a given context. When rounding, we take a number with many decimal places or significant figures and adjust it to a simpler or more convenient value with fewer decimal places or significant figures.

In the given question,

Yes, each number is rounded correctly to the nearest hundred thousand based on the rules of rounding.

To round to the nearest hundred thousand, we look at the digit in the hundred thousand place and the digit to its right (i.e., in the ten thousand place).

If the digit in the ten thousand place is 5 or greater, we round up the digit in the hundred thousand place by adding 1.

If the digit in the ten thousand place is less than 5, we leave the digit in the hundred thousand place as it is.

Using these rules, we can see that:

350000 rounded to the nearest hundred thousand is 400000 because the digit in the ten thousand place is 5, so we round up the digit in the hundred thousand place.

555555 rounded to the nearest hundred thousand is 560000 because the digit in the ten thousand place is 5, so we round up the digit in the hundred thousand place.

137998 rounded to the nearest hundred thousand is 200000 because the digit in the ten thousand place is 7, so we round up the digit in the hundred thousand place.

792314 rounded to the nearest hundred thousand is 800000 because the digit in the ten thousand place is 3, so we leave the digit in the hundred thousand place as it is.

To know more about rounding , visit:

https://brainly.com/question/29878750

#SPJ1

Answer:

Step-by-step explanation:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89,144,233,377,610,987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, ... Can you figure out the next few numbers?

Therefore, it will take 173 months to pay off the loan, or approximately 14 years and 5 months.

A percentage is a way of expressing a number as a fraction of 100. The symbol for a percentage is "%". For example, 50% is the same as 50/100 or 0.5 as a decimal. Percentages are often used to express a portion or share of a whole. For instance, if you scored 90% on a test, it means you got 90 out of 100 possible points. In finance, percentages are commonly used to express interest rates, returns on investments, or changes in stock prices.

First, we need to convert the monthly interest rate from a percentage to a decimal by dividing by 100.

0.25% / 100 = 0.0025

Now we can plug in the values into the formula:

N= (-log⁡ (1-0.0025*70000/250))/ (log⁡ (1+0.0025))

Simplifying the equation in the parentheses:

N= (-log⁡ (1-175))/ (log⁡ (1.0025))

N= (-log⁡ (0.9964))/ (0.002499)

N= 172.9

Rounding up to the nearest whole number since we can't make partial payments:

N= 173

To learn more about percentage, visit

https://brainly.com/question/29306119

#SPJ1

So according to the given figure ∠mah is right angle(90°), The value of x is 17, ∠mat is 38° and ∠tah is equal to 52°.

(A) ∠mah is right angle(90°) [GIVEN IN THE FIGURE]

(B) (2x+4)+(3x+1) = 90

5x+5 = 90

x= 17

(C) 2x+4 = 2×17 + 4 = 38°

(D) 3X + 1 = 3 × 17 + 1 = 52°

A graph is a visual representation or diagram that displays facts or values in an organised manner in mathematics. The points on a graph are typically used to depict the relationships between two or more things.

A graph in discrete mathematics is made up of vertices, which are groups of points, and edges, which are the connections between those vertices. There are numerous different types of graphs besides linked and disconnected graphs, weighted graphs, bipartite graphs, directed and undirected graphs, and simple graphs.

To know more about Graph, visit:

https://brainly.com/question/30444906

#SPJ1

Answer:

57.8°

Step-by-step explanation:

SohCahToa

use sin^1 to get angle

sin^1(11/13)=57.7957725

to the nearest tenth=57.8°

Answer:

tanQ = 1

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ OPQ is an exterior angle of the triangle , then

∠ R + ∠ Q = 135°

90° + ∠ Q = 135° ( subtract 90° from both sides )

∠ Q = 45°

Then

tanQ = tan45° = 1