Hayley took a total of 9 quizzes over the course of 3 weeks.After attending 7 weeks of school quater,how many quizzes will hayley have taken in total

Answer:

The interest is $1242.734 and the amount is $13242.734.

Step-by-step explanation:

STEP 1: Convert interest rate of 1.5% per month into rate per year.

STEP 2: Convert 210 days into years.

STEP 3: Find an interest by using the formula , where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.

In this example P = $12000, i = 18% and t = 0.57534 years, so

STEP 4: Find an amount by using the formula .

Since P = $12000 and I = $1242.734 we have

Answer:

10.2 km

Step-by-step explanation:

I thought we have to add 5200 m + 10,2 km, but for this result there is no an alternative. So the correct answer must be 10,2 km, if the plane is right above the airport.

Answer:

how can I be of help

can't see anything actually

Answer:

z=11/15

Step-by-step explanation:

z=1/3+2/5=1x5/15+2x3/15=5/15+6/15=11/15

Answer:

Step-by-step explanation:

x+x+9=65

2x=56

x=28

28,37

Answer:

one number= 28, other number= 37

Step-by-step explanation:

9+x+x=65

9+2x=65

2x=56

x=28

Answer:

+20+-+6+=+14+

He will have 14 cups leftover

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf L = 3\sqrt{10} }[/tex]

Step-by-step explanation:

Area of a square tile = 90 square inches

Let the side length of tile be "L"

Condition:

Area = 90

L * L = 90

L² = 90

Taking sqrt on both sides

L = √90

L = 3√10

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

X and XY

Step-by-step explanation:

When you expand and compare the result to (X+Y)^2, you will see that the only terms different are those with the variable X. This means that the only terms affected are X and XY.

Answer:

61.6

Step-by-step explanation:

tan(72) = x/20

x = 61.6 rounded to the nearest tenth

The new data set's range must be greater than the original data set's range. which is the correct answer would be an option (C).

The range of the data is defined as the difference between the maximum value of data and the minimum value of the data.

Let m be the smallest value in the original data collection.

Given that the original data set's range = 84 -m

A new data set is made up of 26 positive integers and 96 from the existing data set.

As a result, the new data set's range is 96-m.

We can now determine the difference between two ranges by subtracting them :

⇒ (96 - m) - (84 - m)

⇒ 96 - m - 84 + m

⇒ 12

As a result, the new data set's range must be greater than the original data set's range.

Hence, the correct answer would be an option (C).

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The answer is 33. The side lengths of a cube are all the same and the volume is length x width x height. So, you just cube 35,937 cm to get 33 cm.

Answer:

33

Step-by-step explanation:

Answer:

09

Step-by-step explanation:

dkdkdinddkkddksnndkeke

Answer:

0.01-S 0.03-H 0.09-E 0.1-W 0.14-A 0.16-S 0.18-N 0.19-T 0.2-S 0.22-E 0.25-E 0.27-N 0.3-B 0.31-E 0.33-C 0.39-A 0.4-U 0.47-S 0.48-E 0.5-O 0.55-F 0.6-H 0.64-E 0.7-R 0.76-S 0.79-M 0.8-A 0.81-L 0.88-L 0.9-S 0.93-I 0.96-Z 0.99-E

Sentence:

SHE WASN'T SEEN BECAUSE OF HER SMALL SIZE.

Answer:

4.

Step-by-step explanation:

'3 less than n' = n-3

'9 is' = 9=

=============================================

Explanation:

We'll need the tangent rule

tan(angle) = opposite/adjacent

tan(R) = TH/HR

tan(30) = TH/54

sqrt(3)/3 = TH/54 ... use the unit circle

54*sqrt(3)/3 = TH .... multiply both sides by 54

(54/3)*sqrt(3) = TH

18*sqrt(3) = TH

TH = 18*sqrt(3) which points to choice A as the final answer

----------------------

An alternative method:

Triangle THR is a 30-60-90 triangle.

Let x be the measure of side TH. This side is opposite the smallest angle R = 30, so we consider this the short leg.

The hypotenuse is twice as long as x, so TR = 2x. This only applies to 30-60-90 triangles.

Now use the pythagorean theorem

a^2 + b^2 = c^2

(TH)^2 + (HR)^2 = (TR)^2

(x)^2 + (54)^2 = (2x)^2

x^2 + 2916 = 4x^2

2916 = 4x^2 - x^2

3x^2 = 2916

x^2 = 2916/3

x^2 = 972

x = sqrt(972)

x = sqrt(324*3)

x = sqrt(324)*sqrt(3)

x = 18*sqrt(3) which is the length of TH.

A slightly similar idea is to use the fact that if y is the long leg and x is the short leg, then y = x*sqrt(3). Plug in y = 54 and isolate x and you should get x = 18*sqrt(3). Again, this trick only works for 30-60-90 triangles.

After partial fraction decomposition the correct expression we get,

[tex]\frac{12x - 25}{4x^2 - 12 x + 9} = \frac{6}{2x-3} - \frac{7}{(2x-3)^2}[/tex]

Hence option fourth is correct.

Partial fractions is a technique used in mathematics to decompose a rational function into simpler fractions.

It involves breaking down a rational function with a denominator of a higher degree into a sum of fractions with simpler denominators.

The given expression is,

[tex]\frac{12x - 25}{4x^2 - 12 x + 9} = \frac{A}{2x-3} + \frac{B}{(2x-3)^2}[/tex]

[tex]\frac{12x - 25}{4x^2 - 12 x + 9} = \frac{A(2x-3) + B}{4x^2 - 12 x + 9}[/tex]                      [since (a-b) = a² + b² -2ab]

Simplifying we get

⇒ 12x - 25 = A(2x - 3) + B

⇒ 12x - 25 = 2Ax + (B - 3A)

Comparing the coefficients we get

2A = 12

⇒ A = 6

And B - 3A = -25

Put the value of A we get

B =  -7

Hence,

After substituting the values of A and B in the given expression we get

[tex]\frac{12x - 25}{4x^2 - 12 x + 9} = \frac{6}{2x-3} - \frac{7}{(2x-3)^2}[/tex].

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Answer:

you mean trigonometry i'm assuming

but essentially:

soh = sin theta (the angle) = opposite length/hypotenuse length

cah = cos theta (angle) = adjacent length/hypotenuse length

toa = tan theta (angle) = opposite length/adjacent length

Step-by-step explanation:

Answer:

a. 24x + 24

Step-by-step explanation:

Given

6(5x + 4) - 6x

= 30x + 24 - 6x

= 24x + 24

Hope it will help :)❤

Answer:

-3

Step-by-step explanation:

-7 + 4 = -3

-3

Have a beautiful day!

Hey.... can anybody help me with a question? If you can change one thing in your community with design, what would it be and how will it work towards racial justice?

Answer:

Step-by-step explanation:

∠BEF = ∠ABE   {Alternate interior angle}

∠BEF = 60

∠EQR = ∠ BEF         {Corresponding angles}

∠EQR = 60

In ΔEQR

∠QER + ∠EQR + ∠ERQ = 180 {angle sum property}

80 + 60 +x = 180

140 + x = 180

          x = 180- 140

x = 40

9514 1404 393

Answer:

  13.609°

Step-by-step explanation:

The csc^-1 function is the arccosecant function. It gives the angle whose cosecant is given. If we let A represent that angle, your statement is ...

  A = csc^-1(4.25)

It is used to solve the relation ...

  4.25 = csc(A)

__

Some calculators can give you the value directly (see attached). Most cannot. In any event, you need to make sure the angle mode for the calculator is set to degrees.

When your calculator does not have the csc^-1 function, you can make use of the trig identity ...

  csc(x) = 1/sin(x)

In the above equation, this becomes ...

  4.25 = 1/sin(A)

  sin(A) = 1/4.25 . . . . . solve for sin(A)

All scientific and graphing calculators will have the inverse sine (arcsine) function.

  A = sin^-1(1/4.25)

  A ≈ 13.609° . . . . . . . calculator mode in Degrees

_____

Additional comment

For inverse functions, especially inverse trig functions, I find it useful to read them as ...

  csc^-1(x)   ⇒   "the angle whose cosecant is x"

  sin^-1(x)   ⇒   "the angle whose sine is x"

This reminds me that the value it gives is an angle (degrees or radians), and the argument it takes is a pure number (one with no units).

Answer: 108 sq units

Step-by-step explanation:

Multiply

Answer:

15

Step-by-step explanation:

Answer:

2x + 2.9 = 30.6

Step-by-step explanation:

We are to represent the unknown number that Mark thinks of with x

If Mark doubles this unknown number, he multiplies it by 2 and the unknown number becomes - 2x

He then adds 2.9

The equation becomes 2x + 2.9

The answer of the above equation is 30.6

This gives : 2x + 2.9 = 30.6