which of the following lines is perpendicular to the line y=-3/5x+1

Carlos needs to earn at least 16 points on the final quiz to earn at least a 90% average.

We have,

Let's start by finding the total number of points that Carlos can earn in the class:

Total points

= 5 quizzes x 20 points per quiz

= 100 points

If Carlos needs an average of 90% or greater, that means he needs to earn at least 90 points out of 100.

Total points earned.

= 18 + 19 + 17 + 20

= 74 points

To find the minimum score Carlos needs on the final quiz, we can set up an inequality:

(74 + x) / 5 ≥ 0.9

where x is the score on the final quiz.

Simplifying this inequality.

74 + x ≥ 90

x ≥ 16

Therefore,

Carlos needs to earn at least 16 points on the final quiz to earn at least a 90% average.

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The system of equations has one solution.

To check this, we can graph the two equations of the system:

y = (-1/3)x + 7

y = -2x³ + 5x² + x - 2

On the same coordinate axis, and check how many times do the graphs intercept.

The graph can be seen in the image at the end, there you can see that there is only one intecept point. Thus, the system of equations has only one solution.

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Answer:

Step-by-step explanation:

For us to determine the friends that live exactly halfway between any two other friends, we need to determine the midpoint of any two of the coordinates and check whether the coordinate gotten is any of other people coordinates.

Using the coordinates B (22,5)  and Ju (4,5), Using the mid point formula;

m(X,Y) = \((\frac{x_2+x_1}{2}, \frac{y_2+y_1}{2})\\\)

X = \(\frac{x_2+x_1}{2}\)

X = \(\frac{22+4}{2}\)

\(X = \frac{26}{2}\\ X = 13\)

\(Y =\frac{y_2+y_1}{2}\\Y = \frac{5+5}{2}\\Y = \frac{10}{2}\\Y = 5\)

\((X, Y) = (13, 5)\)

Hence the friend that live half way of B (22,5)  and Ju (4,5) is J(13, 5)

Similarly as above, using the coordinates of M (11,5) and A  (31,5)

X = (11+31)/2

X = 42/2

X = 21

Y = (5+5)/2

Y = 10/2

Y = 5

Midpoint of both friends is (21, 5)

Hence the friend that live half way of M (11,5)  and A (31,5) is Ma(21, 5)

Also, using the coordinates of J (13,5)  and A  (31,5)

X = (13+31)/2

X = 44/2

X = 22

Y = (5+5)/2

Y = 10/2

Y = 5

Midpoint of both friends J and A is (22, 5)

Hence the friend that live half way of J (13,5)  and A (31,5) is B(21, 5)

Answer:

1/3 is the only fraction here that is greater than 3/10.

Step-by-step explanation:

Convert these to decimals first, which can make it easier.

1/3 as a decimal is 0.33333333333333333333333333... which is greater than 0.3, which is 3/10.

3/11 as a decimal is 0.27272727272727.... which is LESS than 0.3, which is 3/10.

4/15 as a decimal is 0.26666666666666666666666666666666, which is less than 0.3, which is 3/10.

29/100 as a decimal is 0.29, which is less than 0.3, which is 3/10.

So the answer is 1/3.

Answer:

A customer asks for two money orders. The first is for the amount of $637.24 and the second

is for $25.76. If there is a $1.00 charge for each money order, what is the total amount the

customer would owe you?

A customer asks for two money orders. The first is for the amount of $637.24 and the second

is for $25.76. If there is a $1.00 charge for each money order, what is the total amount the

customer would owe you?

Answer:

y = 7

Step-by-step explanation:

3y + (y+1) + (4y-3) = 54

3y + y + 4y + 1 - 3 = 54

8y - 2 = 54

8y = 54 + 2

8y = 56

y = 56/8

y = 7

Check:

3*7 + (7+1) + ((4*7)-3) = 54

21 + 8 + 28-3 = 54

29 + 25 = 54

Answer:

3. 2x+12+3x-7=360

5x+5=360

5x=360-5

x=355/5

x=71

for exterior

2x+12=360

2x=360-12

x=348/2

x=174

Step-by-step explanation:

hope this will help you

Answer:

\(8 {x}^{2} - 6x - 5 = x\)

\(8 {x}^{2} - 7x - 5 = 0\)

x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)

= (7 + √(49 + 160))/16

= (7 + √209)/16

= -.4661, 1.3411 (to 4 decimal places)

Hello and Good Morning/Afternoon

Let's take this problem step-by-step:

First step

⇒ consider the fact cotθ = 1 / (tanθ)

 \(\frac{1+tanx}{1+cotx} =\frac{1+tanx}{1+\frac{1}{tanx} }\)

Second step

⇒ form a common denominator for the fraction in the 'denominator'

\(\frac{1+tanx}{1+\frac{1}{tanx} } =\frac{1+tanx}{\frac{tanx+1}{tanx} }\)

Let's flip over the fraction on the denominator

\(\frac{1+tanx}{\frac{tanx+1}{tanx} } =(1+tanx) * \frac{tanx}{1+tanx} =tanx\)

And there you go, you have proved the statement by following these steps!

 *note, I used 'x' because the equation creator didn't have 'θ' symbol

Hope that helps!

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Answer:

2

Step-by-step explanation:

We are given that a=1 and b=3, so we must substitute these values into the equation and simplify to find the answer.

2ab+2

2(1)(3) + 2

6+2 = 8

2ab-2

2(1)(3) - 2

6-2 = 4

8/4 = 2

The remainder of the polynomial division \(\frac{\left(y^4-y^3+2y^2+y-1\right)}{\left(y^3+1\right)}\) is 2y²

From the question, we have the following parameters that can be used in our computation:

\(\frac{\left(y^4-y^3+2y^2+y-1\right)}{\left(y^3+1\right)}\)

When the numerator is expanded, we have

\(\frac{\left(y^4-y^3+2y^2+y-1\right)}{\left(y^3+1\right)} = \frac{(y - 1)(y^3 + 1) + 2y^2}{y^3 + 1}\)

Split the expanded expression

\(\frac{\left(y^4-y^3+2y^2+y-1\right)}{\left(y^3+1\right)} = \frac{(y - 1)(y^3 + 1)}{y^3 + 1} + \frac{2y^2}{y^3 + 1}\)

Evaluate

\(\frac{\left(y^4-y^3+2y^2+y-1\right)}{\left(y^3+1\right)} = y - 1 + \frac{2y^2}{y^3 + 1}\)

From the above, we have

Quotient = y - 1

Remainder = 2y²

Hence, the remainder of the polynomial division is 2y²

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Using Pascal's triangle and the difference quotient formula, we expand (x + h)^2 and simplify the expression to (2hx + h^2) / h. As h approaches 0, the term h becomes negligible, and we are left with 2x, which represents the derivative of x^2.

To use Pascal's triangle to find x^2 using the difference quotient formula, we can follow these steps:

1. Write the second row of Pascal's triangle: 1, 1.

2. Use the coefficients in the row as the binomial coefficients for (x + h)^2. In this case, we have (1x + 1h)^2.

3. Expand (x + h)^2 using the binomial theorem: x^2 + 2hx + h^2.

4. Apply the difference quotient formula: f(x + h) - f(x) / h.

5. Substitute the expanded expression into the formula: [(x + h)^2 - x^2] / h.

6. Simplify the numerator: (x^2 + 2hx + h^2 - x^2) / h.

7. Cancel out the x^2 terms in the numerator: (2hx + h^2) / h.

8. Divide both terms in the numerator by h: 2x + h.

9. As h approaches 0, the term h becomes negligible, and we are left with the derivative of x^2, which is 2x.

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Answer:

the correct answer is A. 25 sandwiches.

Step-by-step explanation:

Assuming you have plenty of bread and jelly, you can make 25 sandwiches from the jar of peanut butter.

Each sandwich typically requires 2 tablespoons of peanut butter, one slice of bread with peanut butter and one slice of bread with jelly.

So, if you have 50 tablespoons of peanut butter, you can make 25 sandwiches with it, because 50 / 2 = 25.

Therefore, the correct answer is A. 25 sandwiches.

Answer: 25

Step-by-step explanation:

We have 50 tablespoons of peanut butter and we know that it requires 2 tablespoons to make a single sandwich. In order to find how many sandwiches we can make with our 50 tablespoons, we would have to do 50 divided by 2.

2+2...=50

Hi there!

For number 1 it shows that the last two blanks would be 8/8 and 4/4 since adding 1/8 would be 8/8 and adding 1/4 would be 4/4.

For number 2, it would be 3/6 or a half. It wants to have another equivalent to 3/6 and with dividing 3 for each side, it would be 1/2.

Answer:

1. 8/8 or 16/16

2. 1/2 or 6/12

Step-by-step explanation:

The average ticket cost for each concert is given as follows:

The ticket costs are obtained by a system of equations, for which the variables are given as follows:

It cost a total of $1707 to purchase six tickets for concert A and six tickets for concert B, hence:

6a + 6b = 1707

a + b = 284.5.

Three tickets for concert B cost a total of $687, hence the cost for concert B is of:

3b = 687

b = 287/3

b = $95.67.

Replacing into the first equation, the cost for concert A is given as follows;

a = 284.5 - 95.67

a = $188.83.

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Objects commonly found in a locality include residential buildings, commercial establishments, public facilities, transportation infrastructure, landmarks, natural features, utilities, street furniture, and vehicles.

The type of objects that can be found in a locality can vary greatly depending on the specific location and its surroundings. Here are some common types of objects that can be found in a locality:

Residential Buildings: Houses, apartments, condominiums, and other types of residential structures are commonly found in localities where people live.

Commercial Establishments: Localities often have various types of commercial establishments such as stores, shops, restaurants, cafes, banks, offices, and shopping centers.

Public Facilities: Localities typically have public facilities such as schools, libraries, hospitals, community centers, parks, playgrounds, and sports facilities.

Transportation Infrastructure: Localities usually have roads, sidewalks, bridges, and public transportation systems like bus stops or train stations.

Landmarks and Monuments: Some localities may have landmarks, historical sites, monuments, or cultural attractions that represent the area's heritage or significance.

Natural Features: Depending on the locality's geographical characteristics, natural features like parks, lakes, rivers, mountains, forests, or beaches can be present.

Utilities: Localities have infrastructure for utilities such as water supply systems, electrical grids, sewage systems, and telecommunications networks.

Street Furniture: Localities often have street furniture like benches, streetlights, waste bins, traffic signs, and public art installations.

Vehicles: Various types of vehicles can be found in a locality, including cars, bicycles, motorcycles, buses, trucks, and possibly other modes of transportation.

It's important to note that the objects present in a locality can significantly differ based on factors such as urban or rural setting, cultural context, economic development, and geographical location.

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Answer: AKA B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

just trust me

Answer:

its 6

Step-by-step explanation:

can i get the brainly?

Answer:

27

Step-by-step explanation:

27 plus 29 is 56

During the exponential phase, e.coli bacteria in a culture increase in number at a rate proportional to the current population. If growth rate is 1.9% per minute and the current population is 172.0 million, the population 7.2 minutes from now can be calculated using the following formula:

P(t) = P ₀e^(rt)where ,P₀ = initial population r = growth rate (as a decimal) andt = time (in minutes)Substituting the given values, P₀ = 172.0 million r = 1.9% per minute = 0.019 per minute (as a decimal)t = 7.2 minutes

The population after 7.2 minutes will be:P(7.2) = 172.0 million * e^(0.019*7.2)≈ 234.0 million (rounded to the nearest tenth)Therefore, the population of e.coli bacteria 7.2 minutes from now will be approximately 234.0 million.

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Answer:

12.3455882353

Step-by-step explanation:

(103/8) = 12.875

(9/14) = 0.64285714285

0.64285714285 x 14 = 9

(9/17) = 0.5294117647

12.875 - 0.5294117647 = 12.3455882353

we get the the multiplication equations are 2 + 2 + 2 + 2 + 2 = 2 × 5, 5 + 5 + 5 + 5 + 5 = 5 × 5 and 4 groups of 3 = 3 × 4.

We are given some expressions and we need to find the multiplication equation for each one.

a) 2 + 2 + 2 + 2 + 2 will be

Since, 2 is repeating 5 times, we get that:

multiplication equation will be:

2 + 2 + 2 + 2 + 2 = 2 × 5

b) 5 + 5 + 5 + 5 + 5 will be

Since, 5 is repeating 5 times, we get that:

multiplication equation will be:

5 + 5 + 5 + 5 + 5 = 5 × 5

c ) 4 groups of 3  will be

Since, 3 is repeating 4 times, we get that:

multiplication equation will be:

4 groups of 3 = 3 × 4

Therefore, we get the the multiplication equations are 2 + 2 + 2 + 2 + 2 = 2 × 5, 5 + 5 + 5 + 5 + 5 = 5 × 5 and 4 groups of 3 = 3 × 4.

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Answer:

Step-by-step explanation:

Place value in Maths describes the position or place of a digit in a number. Each digit has a place in a number. When we represent the number in general form, the position of each digit will be expanded. Those positions start from a unit place or we also call it one’s position. The order of place value of digits of a number of right to left is units, tens, hundreds, thousands, ten thousand, a hundred thousand, and so on.

Let us understand with the help of an example, say 7231468, and see the below figure for the place value of each digit.

Place value of digits

Try more here: Place Value Worksheets

Place Value Chart

In Mathematics, place value charts help us to make sure that the digits are in the correct places. To identify the positional values of numbers accurately, first, write the digits in the place value chart and then write the numbers in the usual and the standard form.

The 10 digits we used to represent the numbers are:

0 1 2 3 4 5 6 7 8 9

Here, we provided the place value chart of the Indian System for reference. Go through this chart and find the place value of the given number.

For Indian System

The Indian System of place value chart is given below.

Place Value Chart For Indian System

Crores

Lakhs Thousands

Ones

Ten Crores

(TC)

(10, 00,00,000)

Crores (C)  

(1, 00,00,000)

Ten Lakhs (TL)

(10,00,000)

Lakhs

(L)

(1,00,000)

Ten- Thousands (TTh)

(10,000)

Thousands (Th)

(1000)

Hundreds (H)

(100)

Tens

(T)

(10)

Ones

(O)

(1)

For International System

Place Value Chart For International System

Millions

Thousands

Ones

Hundred- Millions

(HM)

(100, 000,000)

Ten-Millions(TM)

(10, 000,000)

Millions

(1,000,000)

Hundred -Thousands (HTh)

100,000)

Ten- Thousands (TTh)

(10,000)

Thousands (Th)

(1000)

Hundreds (H)

(100)

Tens

(T)

(10)

Ones

(O)

(1)

Comparison Between Indian and International System

In both systems,  5-digit numbers are read in the same way. Here, we will have a look at the comparison of how to read the numbers in both the Indian and International systems.

Using Pythagorean theorem, the length of the ladder is 10ft

In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:

x² = y² + z²

In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.

To calculate the length of the ladder, we can write the formula as;

x² = 8² + 6²

x² = 64 + 36

x² = 100

x = √100

x = 10

The length of the ladder is 10 feet

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Answer:

The correct option is b) \(P(D|A)=P(A|D)P(D)\).

Step-by-step explanation:

The probability of selecting the different types of tires are:

P (A) = 0.40

P (B) = 0.15

P (C) = 0.45

The defective rate for the different types of tires are:

P (D|A) = 0.02

P (D|B) = 0.01

P (D|C) = 0.05

The formula to compute the probability that the tire is defective given that it is Brand A tire as follows:

\(P(D|A)=P(A|D)P(D)\)

The ratio of the strawberries to the blueberries is 32 strawberries: 30 blueberries (option d).

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s). The sign that is used to represent ratio is :.

The ratio of strawberries to blueberries - total number of strawberries : total number of blueberries.

(8 x 4) : 30

32 : 30

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Answer: A. 8 strawberries: 30 blueberries

Step-by-step explanation: