Which of the following represents a function?
a.(5, 1), (5, 2), (5, 3), (5, 4)
b.(2, 3), (4, 3), (-2, -3), (-4, -3)
c.(3, 4), (-3, 2), (3, 8), (5, 5)
d.(-1, 2), (-2, 1), (-1, -2), (-2, -1)

Step-by-step explanation:

2^(3x) = 10

if you made no mistake there, then we need to use logarithm.

3x = log2(10) = log10(10)/log10(2) = 1/log10(2)

x = 1/(3×log10(2)) = 1.107309365...

The calculated area of the quadrilateral is 35.82 square units.

Given that

BAse = 6.5

Height = 5.51

To find the area of a quadrilateral, we need to multiply the base by the height.

Area of quadrilateral = base x height

Substituting the given values, we get:

Area = 6.5 x 5.51

Area = 35.815

Rounding to the nearest hundredth, the area of the quadrilateral is 35.82 square units.

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Answer:

18

Step-by-step explanation:

25 + 11 = 36

36/2 = 18

hope this helps

Rose's age should be a whole number, we can round 7.8 to the nearest whole number, which is 8.

Let's assume the number of primroses in the vase is p, and the number of celandines is c.

Each primrose has 5 petals, so the total number of primrose petals is 5p.

Each celandine has 8 petals, so the total number of celandine petals is 8c.

According to the given information, the total number of petals is 39. Therefore, we can set up the equation:

5p + 8c = 39 (Equation 1)

Aunt Lily mentions that the total number of flowers is exactly Rose's age. Since Rose's age is not provided, we'll represent it with the variable r.

The total number of flowers is p + c, which is also equal to Rose's age (r). Therefore, we have another equation:

p + c = r (Equation 2)

We need to find the value of r (Rose's age). To do that, we'll solve the system of equations by eliminating one variable.

Multiplying Equation 2 by 5, we get:

5p + 5c = 5r (Equation 3)

Now we can subtract Equation 1 from Equation 3 to eliminate the p term:

(5p + 5c) - (5p + 8c) = 5r - 39

This simplifies to:

-3c = 5r - 39

Now, let's rearrange Equation 2 to solve for p:

p = r - c (Equation 4)

Substituting Equation 4 into the simplified form of Equation 3, we have:

-3c = 5r - 39

Substituting r - c for p, we get:

-3c = 5(r - c) - 39

Expanding, we have:

-3c = 5r - 5c - 39

Rearranging the terms, we get:

2c = 5r - 39

Now we have a system of two equations:

-3c = 5r - 39 (Equation 5)

2c = 5r - 39 (Equation 6)

To solve this system, we can eliminate one variable by multiplying Equation 5 by 2 and Equation 6 by 3:

-6c = 10r - 78 (Equation 7)

6c = 15r - 117 (Equation 8)

Now, let's add Equation 7 and Equation 8 to eliminate c:

-6c + 6c = 10r + 15r - 78 - 117

This simplifies to:

25r = 195

Dividing both sides by 25, we get:

r = 7.8

Since Rose's age should be a whole number, we can round 7.8 to the nearest whole number, which is 8.

Therefore, Rose is 8 years old.

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Answer:

\(x\approx0.39,-3.89\)

Step-by-step explanation:

\(\displaystyle 2x^2+7x=3\\2x^2+7x-3=0\\\\x=\frac{-7\pm\sqrt{7^2-4(2)(-3)}}{2(2)}\\\\x=\frac{-7\pm\sqrt{49+24}}{4}\\\\x=\frac{-7\pm\sqrt{73}}{4}\\\\x\approx0.39,-3.89\)

Answer:  number 1 . 6688.5 then rounded is 6689.

Number 2.  2475

Step-by-step explanation:

Answer:

58.45

Step-by-step explanation:

Use BIDMAS

14.5 X 3.1 = 44.95

44.95 + 13.5 = 58.45

Answer:

58.45

Step-by-step explanation:

Answer:

208.1

Step-by-step explanation:

Delta math

Answer:

\( \displaystyle{ \theta = \dfrac{5\pi}{6} ,\dfrac{7\pi}{6}}\)

Step-by-step explanation:

Given the equation:

\( \displaystyle{2 \cos \theta = - \sqrt{3} }\)

Divide both sides by 2:

\( \displaystyle{ \cos \theta = \dfrac{- \sqrt{3}} {2}}\)

Cosine is negative in Quadrant 2 and 3. Therefore, we have to find measurement that satisfies the equation. We know that:

\( \displaystyle{ \cos \dfrac{\pi}{6} = \dfrac{ \sqrt{3} }{2}}\)

π/6 is a reference angle. Therefore, to find √3/2 in negative form (for cosine), we have to subtract π by π/6 (Q2) and also add π by π/6 (Q3) as well.

Q2

\(\displaystyle{ \pi - \dfrac{\pi}{6} = \dfrac{6\pi}{6} - \dfrac{\pi}{6}} \\ \\ \displaystyle{ \pi - \dfrac{\pi}{6}= \dfrac{5\pi}{6}}\)

Q3

\( \displaystyle{\pi + \dfrac{\pi}{6} = \dfrac{6\pi}{6} + \dfrac{\pi}{6}} \\ \\ \displaystyle{\pi + \dfrac{\pi}{6} = \dfrac{7\pi}{6}}\)

Since the interval is from 0 to 2π, only two measurements above (5π/6 and 7π/6) are only solutions to the equation.

\( \displaystyle{ \therefore \theta = \dfrac{5\pi}{6} ,\dfrac{7\pi}{6}}\)

Total number of people surveyed = 118

Number of people who own dogs = 78

Number of people who own cat = 44

Number of people who own both cats and dogs = 26

Number of people who only own dogs = 78 - 26 = 52

Number of people who own only cats = 44 - 26 = 18

Only dog owners + Only cat owners + Both + Neither = Total people surveyed

52 + 18 + 26 + Neither = 118

Neither = 22(answer)

Answer:

square root of 25

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

the square root of 25 is 5, and thats the only rational number there

I hope I was helpful! :D

The probability of rolling a total of 9 is 1/9.

The probability of rolling a total of 10 is 1/12.

The probability of rolling a total of 11 is 1/18.

We have,

To calculate the probabilities of rolling specific totals with a pair of dice, we need to consider all possible combinations of numbers on each die.

Probability of rolling a total of 9:

There are four combinations that can result in a total of 9: (3, 6), (4, 5), (5, 4), and (6, 3).

Since each die has six sides, there are 6 * 6 = 36 equally likely outcomes when rolling two dice.

The probability of rolling a total of 9 is 4/36, which can be simplified to 1/9.

Probability of rolling a total of 10:

There are three combinations that can result in a total of 10: (4, 6), (5, 5), and (6, 4).

The probability of rolling a total of 10 is 3/36, which can be simplified to 1/12.

Probability of rolling a total of 11:

There are two combinations that can result in a total of 11: (5, 6) and (6, 5).

The probability of rolling a total of 11 is 2/36, which can be simplified to 1/18.

Thus,

The probability of rolling a total of 9 is 1/9.

The probability of rolling a total of 10 is 1/12.

The probability of rolling a total of 11 is 1/18.

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Answer:  you would need to cross the bridge 5 times

Step-by-step explanation:

costing a total of $42.50 for each option.

hope this helps

Answer:

1 Factor out the common term 22.

2(x+3y)=6

2(x+3y)=6

2 Divide both sides by 22.

x+3y=\frac{6}{2}

x+3y=

2

6

3 Simplify \frac{6}{2}

2

6

to 33.

x+3y=3

x+3y=3

4 Subtract 3y3y from both sides.

x=3-3y

x=3−3y

Answer:

x=3 and y=2

Step-by-step explanation:

I hope I"m right and if I am can I be marked brainliest.

Answer:

Step-by-step explanation:

Therefore, the height of the tower is approximately 121.4 meters.

Answer:

N(1) = -10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

N(y) = -3y - 7

N(1) is y = 1

Step 2: Evaluate

Answer:

18.66

Step-by-step explanation:

This shape can be split into two rectangles.

the two rectangles can be labeled as Rectangle A, and Rectangle B.

\(1.8cm \times 6.4cm = 11.52cm\)

\(3.4cm \times 2.1cm = 7.14cm\)

Then, the area of both rectangles can be added to give the area of the shape.

\(11.52cm + 7.14cm = 18.66cm\)

The amount of tax owed is  $ 6,960.

It is given in the question that:-

Vacant land value = $ 24,000

Tax percentage = 18 %

Tax per hundred dollars = $ 11

We have to find the tax owed.

Tax = (18/100)*24000 = $ 4,320

Tax per hundred for $ 24000 land = 11*(24000/100) = $ 2,640

Hence, total tax owed = $ 4,320 +  $ 2,640 = $ 6,960

Percentage

In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.

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The amount in year 6 is $1282.5.

What is simple interest?

Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.

Given,

rate of interest = 7%

time = 1 year

Amount on first year = $950

First we will calculate simple interest for 5 years, because amount is available for 1 year.

SI =PRT

SI = 950(7/100)1

SI = $332.5

Therefore, the amount after 6 years = 950+332.5

=$1282.5

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Answer:

Step-by-step explanation:

If person A can paint the house in 'a' days, then person B takes 3a days. Each day, the total amount of house painted when they work together is ...

  1/a + 1/(3a) = 1/10

  4/(3a) = 1/10 . . . combine terms

  40 = 3a . . . . . . . cross multiply

  a = 40/3 = 13 1/3 . . . . . divide by 3

A can paint the house in 13 1/3 days.

B can paint the house in 40 days.

Answer:

∠ GJK = 102°

Step-by-step explanation:

(2x + 92) and (3x + 63) are same- side interior angles and sum to 180° , so

2x + 92 + 3x + 63 = 180

5x + 155 = 180 ( subtract 155 from both sides )

5x = 25 ( divide both sides by 5 )

x = 5

Then

∠ GJK = 2x + 92 = 2(5) + 92 = 10 + 92 = 102°

Answer:

I would recommend that my friend to make a table/graph of hours per mile. That way they could find the proportional relationship and prove it.

You recommend that your friend use a table to show that the train travels according to a proportional relationship.

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

A high-speed train can travel 140 miles in 12 hours, 224 miles in 2 hours, 308 miles in 2 hours, and 448 miles in 4 hours.

Now, To show that the train travels according to a proportional relationship as;

Firstly, we make a table as;

Distance                 Time

 140 miles                12 hours

 224 miles               2 hours

 308 miles               2 hours

 448 miles                4 hours

So, It is easy to show that the train travels according to a proportional relationship.

Hence, You recommend that your friend use a table to show that the train travels according to a proportional relationship.

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Using proportions, the property tax on a house with an assessed value of $762,000 is of $8,890.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The tax rate, as a proportion, is:

7280/624000 = 0.011667.

Hence, the property tax on a house with an assessed value of $762,000 is of:

0.011667 x 762,000 = $8,890.

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9514 1404 393

Answer:

Step-by-step explanation:

The only factor outside parentheses that contain 2 terms is the factor 3/5. It can be distributed. (The correct response is shown.)

  3/5 can be distributed

__

The only like terms that reside on the same side of the equal sign are ...

  18 and -1

Answer:

30g + 18h - 3

Step-by-step explanation:

3(10g+6h-1)

=> 3*10g + 3*6h - 3*1

=> 30g + 18h - 3

Hope you understood!!