. Write down the first five terms of the AP with first term 7 and common difference 7.
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The point t on the unit circle is ( -1/2, √3 /2 ).

The intersection of the x-axis (the horizontal number line) and the y-axis in the cartesian system divides the coordinate plane into four equal pieces. Because each of these four areas occupies a quarter of the entire coordinate plane, they are collectively referred to as quadrants.

Consider the point t = - 4π/3 on the circle.

Now, the reference angle is π / 3.

- 4π / 3 is in quadrant 2 where the value of cosine is negative and sine is positive.

Therefore, the point t(x,y) will be:

( x, y ) = ( - cos ( π / 3 ), sin ( π / 3 ) )

( x, y ) = ( - 1/ 2 , (√3 )/ 2 )

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His electric bill for the month of April is $76.4

The given parameters are

April 1 = 7,329 kw-hr.

May 1 = 8,284 kw-hr

Rate = $.08 per kw-hr

His electric bill for the month of April is calculated as

Bill = (May 1 - April 1) * Rate

So, we have

Bill = (8,284 - 7,329) * .08

Evaluate

Bill = 76.4

Hence, his electric bill for the month of April is $76.4

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The fractional part of the quiz that he get correct will be 5/12.

From the information, Jeremiah finished 3/4 of his timed math quiz. Of those he attempted, he correctly answered 5/9.

The fractional part of the quiz that he get correct will be

= 3/4 × 5/9

= 5/12

Therefore, the fractional part of the quiz that he get correct will be 5/12.

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Jeremiah finished 3/4 of his timed math quiz. Of those he attempted, he correctly answered 5/9. What fractional part of the quiz did he get correct?

The solution to simplifying the given expression using laws of exponents is; B: 1 over quantity 27 times a raised to the sixth power times b raised to the twelfth power end quantity

Some of the Laws of Exponents are;

We want to simplify a raised to the negative two power over quantity 3 times b raised to the fourth power end quantity all cubed. This is expressed as;

(a⁻²/3b⁴)³

Using the second law of exponent quoted above, we have;

(a⁻²*³)/(3³b⁴*³) = a⁻⁶/27b¹² = 1/a⁶27b¹²

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Answer:

19

Step-by-step explanation:

PEMDAS is your bff here:

5 + 2[(4 + 2)^2 – (3^3 + 2)]

Do the parenthesis first (yes i do solve for 3^3 and add the 2 to it, it makes it quicker)

5 + 2[(6)^2 - 29)]

now do exponents

5 + 2 (36 - 29)

subtraction

5 + 2(7)

multiple cation

5 + 14

And add those together to get 19

Answer:

1) 8

2) 3

3) 4

4) 5

5) 6

6) 2

7) 1

8) 18

Step-by-step explanation:

whenever you see a letter, just change that letter with whatever the guide says, for example, 6+c would be 6+2,  which is 8. Another example is ab, which would be 6 times 3 because a is 6 and b is three

which one do you need answered look it up

Based on the calculations, the features which are features of the circle include the following:

A circle can be defined as a closed, two-dimensional curved geometric shape with no edges or corners. Also, a circle refers to the set of all points in a plane that are located at a fixed distance (radius) from a fixed point (central axis).

Mathematically, the standard form of the equation of a circle is given by;

(x - h)² + (y - k)² = r²

Where:

Given the following equation:

x² + 4x + y² - 2y - 4 = 0

x² + 4x + y² - 2y = 4

Next, we would evaluate the equation by using completing the square method:

x² + 4x + 4 + y² - 2y + 1 = 4 + 5

(x² + 2x + 2x + 4) + (y² - y - y + 1) = 9

(x + 2)² + (y - 1)² = 3²

By comparing the above equation with the standard form of the equation of a circle, we have:

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The required rate of return for Mercury Inc., assuming that investors expect a 5% rate of inflation in the future is 18%.

Real risk free rate = 3%

Inflation Premium = 5%

Nominal risk free rate Rf = Real risk free rate + Inflation Premium = 3% + 5% = 8%

Market risk premium (Rm –Rf) = 5%

Beta = 2

As per CAPM, required rate of return:

= Rf + beta * (Rm – Rf)

= 8% + 2 * 5%

= 8% + 10%

= 18%

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Check the picture below.

Answers to both the subparts are as follows:

So, (A) ratio of chocolate to Rice Krispies:

Now, (B) Rice Krispies should Timothy use to make 30 cakes:

Rice Krispies used in 24 cakes: 160g

Then, Rice Krispies used on 1 cake:

So, Rice Krispies used in 30 cakes:

Therefore, answers to both the subparts are as follows:

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Answer:

PA BRAINLEST NALANG PO HEHE

Answer:

$363

Step-by-step explanation:

i mean with what your given it 18.15 x 20 x could be . for others

The area of the circle is approximately 78.5 square meters

The area of a shape is the amount of space on the shape

The given parameters are:

Radius = 5

The area of a circle is calculated using

A = pi r^2

In this case

pi = 3.14

So, we have:

A = 3.14 * 5^2

Evaluate the product

A = 78.5

Hence, the area of the circle is approximately 78.5 square meters

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Possible question

What is the area of a circle for model 3 where the radius is 5 meters.

Use pi approx3.14 . The area of the circle is approximately square meters

Enter only the number.

Answer:

Step-by-step explanation:

[tex]\displaystyle\\(cosec \alpha -cot\alpha )^2=\\\\(\frac{1}{sin\alpha } -\frac{cos\alpha }{sin\alpha })^2 =\\\\(\frac{1-cos\alpha }{sin\alpha } )^2=\\\\\frac{(1-cos\alpha)^2 }{sin^2\alpha }=\\\\ \frac{(1-cos\alpha )^2}{1-cos^2\alpha } =\\\\\frac{(1-cos\alpha )^2}{(1+cos\alpha )(1-cos\alpha )} =\\\\\frac{1-cos\alpha }{1+cos\alpha }[/tex]

Answer

1.168 ÷ 8= 0.146

2.246÷12= 0.1871

3.4328÷4=0.8582

4.729÷9=0.5254

5.8415÷5​​​​=1.168

Step-by-step explanation:

The inequality that can be used to determine x, the number of outfits Zendaya can purchase  is 329.92 + 65.65x <= 540

The given parameters are:

Budget = $540

New bicycle = $269.88.

4 bicycle reflectors = $10.57 each

Pair of a bike gloves = $17.76.

New biking outfits = $65.65 each.

Let the number of new biking outfits be x

So, we have

New bicycle + 4 * price of bicycle reflectors + Pair of a bike gloves + New biking outfits <= Budget

This gives

269.88 + 4  * 10.57+ 17.76 + 65.65x <= 540

This gives

329.92 + 65.65x <= 540

Solve the inequality

65.65x <= 210.08

Divide by 65.65

x <= 3.2

Hence, the inequality that can be used to determine x, the number of outfits Zendaya can purchase  is 329.92 + 65.65x <= 540

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The equation of line is,

⇒ y = -2x - 4

What is equation of line?

The equation of line with slope m is given by;

⇒ y = mx + b

Now, The points are;

(-2, 0) and (0, -4)

Hence, slope = (-4 - 0) / (0 - (-2) = -4 / 2 = -2

Since, Equation of line with slope (m) is;

y = mx + b

Here, Slope (m) = -2

To find the value of b we use either of the points;

Take point (0,-4)

x = 0 and y = -4

We get after substitute;

-4 = -2(0) + b

-4 = b

Hence, The equation of line is,

⇒ y = -2x - 4

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Hence we would conclude that If Frances left the tip of 22 percent on a meal, the cost of the meal before the tip would be 18 dollars.

Let us define x to be the cost of the meal

such that we would have

x  + 22%x =  21.96

= x + 0.22x = 21.96

1.22x = 21.96

We would have to divide through the equation that we have by 1.22

x = 21.96 / 1.22

x = 18

X is the cost for the meal that  that Frances ate before she gave the tip that she did to the waiter.

Hence we would conclude that If Frances left the tip of 22 percent on a meal, the cost of the meal before the tip would be 18 dollars.

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The correct graph representation of the given inequality is,

⇒ Number line with open circle on point negative 0.2 and arrow shaded to the right.

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

The written expression is given as,

0.5 is greater than the product of −2.5 and a number.

Let a number is x.

Then, The given expression is written as;

0.5 > -2.5x

Now, We can solve as;

0.5 > -2.5x

Multiply by -1 we get;

- 0.5 < 2.5x

-0.2 < x

Hence, The graph of inequality is;

⇒ Number line with Open circle on point negative 0.2 and arrow shaded to the right.

So, The correct graph representation of the given inequality is,

⇒ Number line with open circle on point negative 0.2 and arrow shaded to the right.

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Answer:

A

Step-by-step explanation:

The scatter plot shows negative correlation because as the plotted values of x increase, the values of y generally decrease.

When two variables are said to have negative correlation, it means that they move in the opposite direction from each other. When one variable is increasing, the other variable is decreasing.

The values of x and y in order of x are:

x  3     4    5   6   7   8   9  

y   6     7    5   4   3    4   2

As shown above, when x increases, y generally decreases and when x decreases, y generally increases. This is therefore a negative correlation relationship.

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Answer:

3ab²(a + 5b)

Step-by-step explanation:

3a²b² + 15ab³ ← factor out 3ab² from each term )

= 3ab²(a + 5b)

The perimeter CDE of the triangle is solved to be 9.66 (to the nearest hundredth)

How to find the perimeter of CDE

Given data

C ( 4, -1 )

D ( 4, -5)

E ( 2, -3 )

perimeter of CDE = CD + CE + DE

length = √(x2 - x1)^2 + (y2 - y1)^2

using C ( 4, -1 ) and D ( 2, -3 )

CD = √(4 - 4)^2 + (-1+5)^2

CD = √(4)^2

CD = 4

using C ( 4, -1 ) and E ( 2, -3 )

CE = √(4 - 2)^2 + (-1+3)^2

CE = √(2)^2 + (2)^2

CE = √8

using D ( 4, -5) and E ( 2, -3 )

CD = √(4 - 2)^2 + (-5 + 3)^2

CD = √(2)^2 + (-2)^2

CD = √8

the perimeter =  4 + √8 + √8

the perimeter =  4 + √8 + √8

the perimeter =  9.6568

the perimeter =  9.66 (to the nearest hundredth)

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Answer:

which step by step

rectangular table

Answer:

Step-by-step explanation:

1) distribute the signs to the brackets

        2x^2 + 5 + 3x^2 - 5

2) solve

      5x^2 + 0

Hopefully, it's correct and helpful

Answer:

Table A

Step-by-step explanation:

Note that the curve flattens out between 4 and 6 s

So the average speed is 0( the train is standing still) in the time interval 4-6 s

From the tables we can see that (A) and (D) are the only two tables that have average speed of 0 for 4-6 second interval. So let's eliminate the other two(B and C) and focus on these two

Looking at tables A and D we can see that the average speed in the 0-2 interval is 1.0 for both

So let's focus on the only entry where the tables show different values ie the interval 2-4 = 2s)

Looking at the graph we can see that in the interval 2-4, the train travels from distance of 2m to distance of 3m. In other words it covers a distance of 1 meter ( 3 - 2 ) in 2 seconds

Therefore average speed at this time interval = 1m/2sec = 0.5 m/s

So table A shows the correct average speed