Complete. Give the answer as a mixed number. 3/5 + 4/5​

Answer:

(-1, 6)

Step-by-step explanation:

Midpoint formula:

For G(-7, 3) and H(5, 9) the midpoint:

Answer:

(-1,6)

Step-by-step explanation

use the midpoint formula:

(x 1 + x2 /2 , y1 + y2/2)

(-7+ 5 /2, 3+ 9 /2)

after simplfying

(-1,6)

The information that describes the line plot is

A line plot is said to be symmetric when the data points on one side of the center line (usually the median) mirror the data points on the other side. In other words, if you fold the line plot in half at the center line, the two halves would overlap perfectly.

Symmetry can be determined visually by looking at the line plot and assessing whether the data points appear to be evenly distributed on either side of the center line.

If the line plot is symmetric, it suggests that the data is evenly distributed around the center, and there are no significant outliers or biases in the data. If the line plot is not symmetric, it suggests that there may be some skewness or asymmetry in the data, and further analysis may be needed to understand the underlying patterns and trends.

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We need to use the concept of Finding zeros of the polynomial function. The zeros of the function are 1/2,1+2i,1-2i.

The values of x that fulfill the formula f(x) = 0 are the zeros of a polynomial. The polynomial's zeros are the x values for which the function's value, f(x), equals zero in this case. The degree of equation f(x) = 0 determines how many zeros a polynomial has. The zeros of the polynomial are all such domain values of the function for which the range is zero.

The locations where the graph of y = f(x) crosses the x-axis are known as the polynomial's zeros graphically. In the information that follows, we will learn more about how to express a polynomial's zeros on a graph.

Take f(x)=2x^3 -5x^2+12x-5

So in the question he mentioned that (2x-1) is factor of the polynomial.

So take out (2x-1) from the polynomial function

f(x)=(2x-1)(x^2-2x+5)

We know that zeros of a polynomial can be found when f(x)=0

⇒(2x-1)=0

∴x=1/2

⇒(x^2-2x+5)=0

By using the concept of finding roots of a quadratic equation

(-b±√b2-4ac)/2a

⇒(2±4i)/2

∴x=(1+2i) and (1-2i)

∴1/2,(1+2i),(1-2i) are the zeros.

We need to use the concept of Finding zeros of the polynomial function. The zeros of the function are 1/2,1+2i,1-2i.

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Population parameters are used to estimate sample statistics, and this is true.

Population parameters are used to describe the characteristics of a population, such as the mean, median, and standard deviation, and are used to make inferences about a population. Sample statistics, on the other hand, are used to describe the characteristics of a sample of a population. For example, a sample statistic could be the mean of a sample of people's heights.

To estimate sample statistics, population parameters must first be known. For example, the sample mean can be estimated using the population mean. If the population means are unknown, then the sample means can be estimated using the sample mean.

In conclusion, population parameters are used to estimate sample statistics, and this is true. Population parameters provide useful information about a population that can be used to make inferences about a sample. Knowing the population parameters allows researchers to make more accurate estimates of sample statistics, which in turn can be used to make more reliable inferences about a population.

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The speed you used is 24 miles per hour.

You cover 36 miles for 1 hour 30 minutes. The speed used by you can be calculated as follows:

Speed is measured as the ratio of distance to the time in which the distance was covered.

Hence,

speed = distance / time

Where

distance = 36 miles

time  = 1 hours 30 minutes

Therefore,

Speed = 36 / 1.5

speed = 24 miles per hour

Therefore, your a fast by 24 miles per hour.

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Answer:

B

Step-by-step explanation:

the correct answer is b

4.16×10= 41.6

Answer:

15

Step-by-step explanation:

the triangles are similar so will be the same proprotion,

I have attached a picture showing how I solved this. the second traingle is 3 times as large (15 by 12)   compared to the first triangle which is 4 by 5.

Considering the definition of an inequality, an inequality that represent the possible values for the number of hotdogs purchased and the number of drinks purchased is \(\bold{4.50h + 3d \leq 70}\).

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

An inequality contains one or more unknown values, in addition to certain known data.

In this case, you know that:

Each hotdog costs $4.50 and each drink costs $3.

Mamadou has a total of $70 to spend on hotdogs and drinks.

Being:

the inequality that expresses the previous relationship is

\(\bold{4.50h + 3d \leq 70}\)

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The inequality that represents the possible values for the number of hotdogs and drinks purchased is 4.50ℎ + 3d ≤ 70.

To write an inequality that represents the possible values for the number of hotdogs purchased, ℎ h, and the number of drinks purchased, �, we can use the following equation:

4.50ℎ + 3d ≤ 70

This inequality states that the sum of the cost of the hotdogs (4.50 multiplied by the number of hotdogs) and the cost of the drinks (3 multiplied by the number of drinks) should be less than or equal to 70, which is the total amount of money Mamadou has to spend.

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If the semi-annual rate is 0.5%, then the Annual Percentage Rate is 0.0001%.

To find the Annual Percentage Rate (APR), we need to double the semiannual rate since there are two semiannual periods in a year.

So, the APR would be 1% (0.5% * 2).

2. To find the Effective Annual Rate (EAR), we can use the formula:

\(EAR = (1 + r/n)^n - 1\)

where r is the nominal interest rate and n is the number of compounding periods per year.

In this case, the nominal interest rate (r) is 0.5% and the compounding periods per year (n) is 2 (since it's a semiannual rate).

Plugging in these values into the formula:

EAR = (1 + 0.005/2)^2 - 1

EAR = (1.0025)^2 - 1

EAR = 1.005025 - 1

EAR = 0.005025

Therefore, the EAR (rounded to 6 decimal points) is 0.005025.

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Roads that are well-maintained, dry, and free from hazards are generally less likely to result in traction loss.

The likelihood of losing traction depends on various factors such as road conditions, weather, vehicle type, and driver behavior. However, in general, roads that are well-maintained, dry, and free from debris or hazards are less likely to result in traction loss. Additionally, roads with good grip surfaces, such as asphalt or concrete, tend to provide better traction compared to unpaved or slippery surfaces. It's important to drive cautiously and adapt to the specific conditions of the road to minimize the risk of losing traction.

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EXPLANATION

Given the expression:

ln 67:

Solving the operation with a calculator gives us the following result:

ln 67 = 4.204692619...

Thus, rounding to the nearest thousandth will give us:

= 4.205

So, answer to point 1) is D) 4.205

Answer:

Step-by-step explanation:

The ratio of the lengths of two corresponding sides of two similar polygons is called the scale factor

The difference in fundraising between incumbents and challengers highlights the significant advantages of incumbency in American politics and the challenges that challengers face in trying to unseat an incumbent candidate.

In the 2020 House races, there was a significant difference in the average amounts raised by incumbents and challengers. According to data from the Center for Responsive Politics, the average amount raised by incumbents was $2.9 million, while the average amount raised by challengers was $676,000.
This discrepancy can largely be attributed to the advantages of incumbency. Incumbent candidates already have established networks of donors and supporters, name recognition, and a record of legislative accomplishments that they can leverage to raise funds. Additionally, incumbents are often able to attract larger donations from political action committees (PACs) and other interest groups who are more likely to support the candidate who already holds the office.
Challengers, on the other hand, often struggle to gain traction in fundraising due to their lack of name recognition and the fact that they are not yet seen as viable candidates. They also face more difficulty in attracting larger donations from PACs and interest groups, as these organizations tend to favor incumbents who are seen as more likely to win.
Overall, the difference in fundraising between incumbents and challengers highlights the significant advantages of incumbency in American politics and the challenges that challengers face in trying to unseat an incumbent candidate.

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TRUE. The pivot positions in a matrix can be affected by row interchanges during the row reduction process.

Row interchanges involve swapping the order of rows in a matrix, which can change the leading entry (or pivot) in each row. The leading entry is the first nonzero element in a row, which is used to create zeros below it during the row reduction process. If row interchanges are used, the leading entries of each row may change, resulting in a different set of pivot positions in the matrix.

However, the row space, column space, rank, null space, and determinant of the matrix remain the same under row interchanges, as these properties are invariant under elementary row operations.

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The pivot positions in a matrix depend on whether row interchanges are used in the row reduction process? TRUE/FALSE

Answer:

x = 1

Step-by-step explanation:

6(x+4)=30    (divide both sides by 6)

(x+4) = 30/6

x+4 = 5   (subtract 4 from both sides)

x = 5 - 4

x = 1

Step-by-step explanation: 6(x+4)=30

(Distributive property): 6x+24=30

( Transposition method): 6x=30-24( + becomes -) 6x=6

(Transpose 6 to rhs) x=6/6( since it was multiplication on LHS it becomes division in RHS) x=1

The statement "lines drawn at intervals to designate the respective heights of each line above sea level are called contour lines" is true.

Let's dive into the main answer and include the rest of the requirements.

Contour lines are also known as isolines, which are lines that link points of equal elevation or height. They show the height and shape of the terrain on a topographic map and are drawn at equal intervals above sea level.

The closer the contour lines are to one another, the steeper the terrain is. On the other hand, the farther apart they are, the flatter the terrain is.

Contour lines are used in cartography, which is the art and science of map-making. They are used to create topographic maps, which depict the physical features of the earth's surface in detail, such as hills, valleys, rivers, lakes, and so on.

To create a contour map, surveyors begin by taking precise measurements of the elevation or height of the land at various points using a device known as a theodolite.

They then connect the dots or points with contour lines, which are drawn at equal intervals above sea level.A contour interval is the vertical distance between two adjacent contour lines.

The contour interval on a map is determined by the scale of the map and the degree of accuracy required. For example, a map of a mountainous region might have a contour interval of 50 feet or less, whereas a map of a flat region might have a contour interval of 200 feet or more.

A key or legend on the map explains the meaning of the contour lines and their intervals.

Therefore, the statement "lines drawn at intervals to designate the respective heights of each line above sea level are called contour lines" is true. Contour lines are an essential component of topographic maps, which depict the physical features of the earth's surface in detail.

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Answer:

The number 3 represents the fixed cost in the equation which is the flat charge.

{(5, 2), (4, 2), (3, 2), (2, 2), (1, 2)}, {(−8, −3), (−6, −5), (−4, −2), (−2, −7), (−1, −4)} and {(−6, 4), (−3, −1), (0, 5), (1, −1), (2, 3)} are the sets of ordered pairs considered as a function.

{(−4, −2), (−1, −1), (3, 2), (3, 5), (7, 10)} is not a function.

In mathematics, ordered pair is a pair of numbers that are written in a specific order. They are generally written in (x, y) form. For example (3, 5) is an ordered pair.

The function can also be represented by a set of ordered pairs. A function Is a set of ordered pairs in which no two different ordered pairs have the same value of x coordinate.

Option (a) : {(5, 2),(4, 2),(3, 2),(2, 2),(1, 2)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Option (b) : {(-4, -2),(-1, -1),(3, 2),(3, 5),(7, 10)}

Two ordered pairs have the same value of x coordinate (3, 2) and (3, 5).

So, it can not be considered a function.

Option (c) : {(-8, -3),(-6, -5),(-4, -2),(-2, -7),(-1, -4)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Option (d) : {(-6, 4),(-3, -1),(0, 5),(1, -1),(2, 3)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Therefore, Options (a), (c), and (d) are the functions.

Option (b) is not a function.

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Answer:

A part of a whole can be represented in three ways:

1. as a percentage - out of one hundred with the symbol % NOTE: this can be the part used or the part remaining.

2. As a ratio - in the format x:y. NOTE : This is actually x: whole - x (not x:whole)

3. As a fraction in the format x/y . NOTE: Here y is the whole

Hope This Helpful,

The rate of discount is approximately 6.4%.

Given that, the purchase at the store "Tias" come to $428.85 before any discounts and before any taxes.

The total price after a discount and taxes of 13% was $452.98.

The formula to find out the rate of discount is `tag=(1+r*t)(1-r*j)*p`, where `tag` is the total price after a discount and taxes, `p` is the initial price, `r` is the rate of discount, `t` is the tax rate, and `j` is the rate of tax.

So we can say that `452.98=(1-r*0.13)(1+r*0)*428.85`

On solving, we get, `r≈6.4%`

Hence, the rate of discount is approximately 6.4%.

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Answer:

C. 4 ft x 6 ft

Step-by-step explanation:

May I have brainliest please? :)

If 0.5cm = 6 inches you can just double the number you have then multiply that by 6

4cm = 48cm which is 1.5748 feet

6cm =

Answer:

D

Step-by-step explanation:

0.5cm - 6ft

1cm=12ft

2cm= 24

3cm= 36

4cm = 48

5cm= 60

6cm = 72

48 divided by 6 is 8

72 divided by 6 is 12

The correct way to measure the zone of inhibition is to place a known amount of an antimicrobial agent on a solid medium.

Area is a quantity that measures the size of a two-dimensional surface or shape. It is expressed in square units such as square centimetres (cm2), square metres (m2) or square kilometres (km2). Area is used to describe the size of a garden, a house, a room, a city and much more. It can also be used to calculate the amount of material required for a project, such as paint, carpet or tiles. Knowing the area of a shape can help to calculate costs, and to make sure that enough materials are ordered.

The zone of inhibition is then measured as the area surrounding the antimicrobial agent where microbial growth has been inhibited. This area is typically measured in millimeters. To accurately measure the zone of inhibition, it is important to ensure that the size of the inoculum and the amount of antimicrobial agent used remain constant. Additionally, it is important to consider the type of organism being studied, as different organisms can have different levels of susceptibility to the antimicrobial agent. Finally, the medium used should be appropriate for the organism being studied, as different media can produce different results.

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Answer:

Step-by-step explanation:

boody boody

Answer:

Simplifying

x2 + -10x + 23 = 0

Reorder the terms:

23 + -10x + x2 = 0

Solving

23 + -10x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-23' to each side of the equation.

23 + -10x + -23 + x2 = 0 + -23

Reorder the terms:

23 + -23 + -10x + x2 = 0 + -23

Combine like terms: 23 + -23 = 0

0 + -10x + x2 = 0 + -23

-10x + x2 = 0 + -23

Combine like terms: 0 + -23 = -23

-10x + x2 = -23

The x term is -10x.  Take half its coefficient (-5).

Square it (25) and add it to both sides.

Add '25' to each side of the equation.

-10x + 25 + x2 = -23 + 25

Reorder the terms:

25 + -10x + x2 = -23 + 25

Combine like terms: -23 + 25 = 2

25 + -10x + x2 = 2

Factor a perfect square on the left side:

(x + -5)(x + -5) = 2

Calculate the square root of the right side: 1.414213562

Break this problem into two subproblems by setting  

(x + -5) equal to 1.414213562 and -1.414213562.

Subproblem 1

x + -5 = 1.414213562

Simplifying

x + -5 = 1.414213562

Reorder the terms:

-5 + x = 1.414213562

Solving

-5 + x = 1.414213562

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.

-5 + 5 + x = 1.414213562 + 5

Combine like terms: -5 + 5 = 0

0 + x = 1.414213562 + 5

x = 1.414213562 + 5

Combine like terms: 1.414213562 + 5 = 6.414213562

x = 6.414213562

Simplifying

x = 6.414213562

Subproblem 2

x + -5 = -1.414213562

Simplifying

x + -5 = -1.414213562

Reorder the terms:

-5 + x = -1.414213562

Solving

-5 + x = -1.414213562

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.

-5 + 5 + x = -1.414213562 + 5

Combine like terms: -5 + 5 = 0

0 + x = -1.414213562 + 5

x = -1.414213562 + 5

Combine like terms: -1.414213562 + 5 = 3.585786438

x = 3.585786438

Simplifying

x = 3.585786438

Solution

The solution to the problem is based on the solutions

from the subproblems.

x = {6.414213562, 3.585786438}

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

we know that it is a straight line and if we add it up then it will be 180 degrees. So first we add them both up together

8x + 14 + 9x - 4 = 17x + 10 = 180

Then you want to separate the X's and the numbers

in this case you subtract 10 on both sides to get rid of the number on the left side so there is only X

17x+10=180

-10         -10

17x=170

than simplify

17x=170

/17    /17

x=10

Answer:

x = 8

Step-by-step explanation:

Since there are 3 x's in the graphic, we have to think what times 3 is 24? The answer to that is 8!

The value of x in the diagram is 8.

A tape diagram is a rectangular visual model that resembles a piece of tape, that is used to assist with the calculation of ratios and addition, subtraction, and commonly multiplication.

It is also known as a divided bar model, fraction strip, length model or strip diagram.

From the diagram, you will notice that:

x + x + x = 24

Add the three x:

3x = 24

Divide both sides by 3:

x = 24/3

x = 8

Thus, the value of x is 8.

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Answer:

7%

Step-by-step explanation:

Perimeter of a rectangle

P = 2(w + l)

where:

Given:

Therefore, the perimeter of the original rectangle is:

⇒ P = 2(30 + 20)

⇒ P = 2(50)

⇒ P = 100 cm

If the width is increased by 5%:

⇒ new width = 30 × 1.05 = 31.5 cm

If the length is increased by 10%:

⇒ new length = 20 × 1.1 = 22 cm

Therefore, the new perimeter will be:

⇒ P = 2(31.5 + 22)

⇒ P = 2(53.5)

⇒ P = 107 cm

Percentage Increase

\(\sf PI=\dfrac{final\:value-initial\:value}{initial\:value} \times 100\)

Substitute the values:

\(\begin{aligned} \implies \sf Percentage\:increase & = \sf \dfrac{new\:perimeter-original\:perimeter}{original\:perimeter} \times 100\\\\& = \sf \dfrac{107-100}{100} \times 100\\\\& = \sf 7\%\end{aligned}\)

The original number from the given decimal number is  0.02.

For the given question;

Moving a decimal point 4 places towards the right corresponds to multiplying the given integer by 10,000 if it is x.

This results in:

10000x = 4.(1/x)

Simplifying.

x² = 4/10000

x > 0.

Taking square root of the number.

x = 2/100

x = 0.02

Thus, the original number from the given decimal number is  0.02.

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Answer:

x=((log(81))/(log(3))+2)/3

Step-by-step explanation:

so what you want to do is get 3x-2 out of the exponent

you can do that by using log

so apply log to both sides and you get

log(81)=(3x-2)log(3)

the 3x-2 is moved in front of the log due to a log rule

then (log(81))/(log(3))=3x-2

(log(81))/(log(3))+2=3x

((log(81))/(log(3))+2)/3=x

then use a calculator to find the exact value

hope this helps im sorry my explanation is a bit confusing, ask any questions you have