4. Fill in the blanks for the following proof:

Answer:

x^3y^2

Step-by-step explanation:

[tex]\sqrt{x^9y^4}\\ =\sqrt{x^9}\sqrt{y^4}\\ = x^3y^2[/tex]

Answer:

the red parallelogram had x=6

for the blue one, other sides values must be known which is not in the picture

Step-by-step explanation:

[ ISN} and {TSW} so the answer is D

The median of books to a box is 9 and The mean of books to a box is 11

The complete question is

Garth is packing boxes with books. The list shows how many boxes are in each of 10 boxes. 6,14,6,18,9,9,12,10,11,15

Which statement is true about the number of boxes packed to a box?

A) The median # of books to a box is 8

B) The median # of books to a box is 9

C) The mean # of books to a box is 11

D) The mean # of books to a box is 12

Mean is the average of the data given while the median is the middle point of the data.

It is given that

The data is

6, 14, 6, 18, 9, 9, 12, 10, 11, 15

The mean is

(6 + 14 + 6 + 18 + 9 + 9 + 12 + 10 + 11 + 15)/10 = 11

and the median is 9

Therefore Option B and C is the correct answer.

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Answer:

Step-by-step explanation:

[tex]log_{b}a=c = > b^c=a\\ln(a) = > log_{e}a=c = > e^c=a\\log(a) = > log_{10}a=c = > 10^c=a[/tex]

[tex]log(1000) = 3 = > =10^3 =1000\\ log_{5}(25)=2 = > 5^2=25\\log_{12}144=x = > 12^x=144\\ln(12) =x = > e^x=12[/tex]

Answer:

Answer:

5

Step-by-step explanation:

As seen in the figure, we know that because ΔABC is isosceles, ∠B = ∠C, so we know that 75 = 3x, x = 15. Next, following the rule that all angles in a triangle sum to 180°, we can set up this equation and solve it:

  4y + 10 + 75 + 75 = 180

                          4y = 180 - 160

                            y = 20

                         ∴ y = 5

Unit conversion is a way of converting some common units into another without changing their real value. The approximate value in US dollars is $210.53.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

The exchange rate of Mexican pesos for US dollars is approximately 19 pesos for 1 dollar. Therefore, we can write,

19 pesos = 1 dollar

1 pesos = 1/19 dollar

if Lynn exchanges 4,000 pesos for US dollars, then the approximate value in US dollars will be,

4,000 pesos = 4000/19 = 210.53 dollars

Hence,  the approximate value in US dollars is $210.53.

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The length of KI is 10 cms.

The skill of measuring the lengths of objects and understanding the units of length is very crucial as it helps us to interact with our environment in a more organized manner.

Here, ΔRJS ≈ Δ IJK

then JR / JI = SR/KI

         1/2   =5 /ki

         kI = 5 X 2

        kI = 10 units.

Thus, The length of KI is 10 cms.

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DE is the segment parallel to the side BC. The triangles have sides AB, BC, and CA. D, E, and F are the three sides' midpoints.

A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.

The sides of the triangles are AB, BC, and CA.The mid points of the three sides are D, E, and F.

The new triangle sides are DE, EF, and FD. We can visualize the triangle as DEF given in the attachment.

Hence, DE is the segment parallel to side B.

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Answer:

1/2, -1/8, 1/32

Step-by-step explanation:

[tex] - 2( - \frac{1}{4} ) = \frac{1}{2} [/tex]

[tex] \frac{1}{2} ( - \frac{1}{4} ) = - \frac{1}{8} [/tex]

[tex] - \frac{1}{8} ( - \frac{1}{4}) = \frac{1}{32} [/tex]

An expression is defined as a set of numbers, variables, and mathematical operations. The simplified version of the given expression is (3√2-2)√x³.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression [tex]\sqrt{32x^3} - \sqrt{16x^3} + \sqrt{4x^3} -\sqrt{2x^3}[/tex] can be simplified as shown below.

[tex]\sqrt{32x^3} - \sqrt{16x^3} + \sqrt{4x^3} -\sqrt{2x^3}\\\\=\sqrt{x^3}(\sqrt{32}-\sqrt{16}+\sqrt{4}-\sqrt{2}})\\\\= \sqrt{x^3} (4\sqrt{2}-4+2-\sqrt2)\\\\= \sqrt{x^3} (3\sqrt{2}-2)[/tex]

Hence, The simplified version of the given expression is (3√2-2)√x³.

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Answer:

Option C is correct

Correlation coefficient of the following data is 0.37

Step-by-step explanation:

Correlation coefficient formula :

r = Σ [([tex]x - x_{m}[/tex]) × ([tex]y - y_{m}[/tex])] ÷ √ [Σ [tex](x - x_{m})^{2}[/tex] × Σ [tex](y - y_{m}) ^{2}[/tex]]

x =  Data points in Data set x

y =  Data points in Data set y

[tex]x_{m}[/tex]= Mean of Data set x

[tex]y_{m}[/tex]= Mean of Data set y

Now put all the values and sumation it as of given in the formula

Mean of Data set x = (1+4+8+6+2)÷5 = 21÷5 = 4.2

Mean of Data set y = (16+20+15+22+9)÷5 = 82÷5 = 16.4

Now put the values in the equation

r = Σ [(x - 4.2) × (y - 16.4)] ÷ √ [Σ [tex](x - 4.2)^{2}[/tex] × Σ [tex](y - 16.4) ^{2}[/tex]]

Now put every single value of x and y and after we will get the required Correlation coefficient.

And that is Correlation coefficient of the following data is 0.37

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Step-by-step explanation:

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Answer:

4.5-1.4=3.1

Step-by-step explanation:

Hope this answers your question!

If not, I am sorry.

Answer:

Answer is 71.95°

Step-by-step explanation:

Cosine formula is

a^2=b^2+c^2-2bc(cosA)

cos A =b^2+c^2-a^2/2bc

if a= 119,b=94,c=173

cos A=94^2+173^2-119^2/2(94*173)

=8836+29,929-14,161/2(16,262)

=38765-14,161/32,524

=24604/32,524

=0.7564

cos A=0.7564

cos^-1=40.85°.that's for angle A.

Using the same formula

B=31.1°

C=180-(40.85+31.1)

C=180-71.95

C=108.05

Since angle on a straight line is 180

therefore x is 71.95

Also the sum of angles A and B

The marginal frequency for the people who do not like cantaloupe is StartFraction 91 Over 200 EndFraction/

The correct option is (C),

Marginal Relative Frequency is the ratio between the frequency of a row total or column total to the total frequency of the data.

Given:

                               Watermelon      Not watermelon     Total

Cantaloupe                  93                       16                         109

Not cantaloupe           66                       25                         91

Total                             159                       41                          200

Hence, the Marginal Relative frequency is = 91/200 = 0.455

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Answer: Choice B (If you need to do questions like this in the future i recommend using the desmos graphing calculator online, inputting the equations and comparing them)

Reason:

The line is going uphill as it moves to the right.

Answer:

18

Step-by-step explanation:

30/5=6

6*3=18

Answer:

Step-by-step explanation:

Answer:

[tex]\boxed {tan\theta = \frac{2}{3}}[/tex]

Step-by-step explanation:

Let's derive a formula :

⇒ Area (triangle) × 3 = Area (square)

⇒ 1/2(bh) × 3 = a²

∴ But a = h (shown in diagram)

⇒ 3/2(bh) = h²

⇒ h = 3b/2

Now, taking tan θ :

⇒ tan θ = b/h

⇒ tan θ = b/(3b/2)

⇒ tan θ = 2b/3b

⇒ tan θ = 2/3

Answer:

(-4, 0)

Step-by-step explanation:

x-2 means ur gonna take coordinate A and move it back 2 places along the x axis, (-4,-2) and then y+2 means ur gonna go up to places alomg the y axis which brings coordinate A' to (-4,0)

Answer:

A'(-4, 0)

Step-by-step explanation:

(x, y) → (x - 2, y + 2)

A(-2,-2 )→ A'(-2-2,-2+2)

= A'(-4,0)

Answer:

so there is no answer in choice

Step-by-step explanation:

y=mx+b

so we have m,y and x so we have to find b

-2=-7×-2+b

b=-16

so y=-7x-16

the answer should be

y+2=-7(x+2)

The function that models the horizontal displacement as a function of time in seconds is y = 5cos(2π/3 x)

The given parameters are:

Start by calculating the amplitude, A using:

A = h/2

This gives

A = 10/2

A = 5

Next, we calculate the period using:

B = π/t

This gives

B = π/1.5

Evaluate

B = 2π/3

The pendulum is at the middle.

So, it has no vertical displacement

The function is then represented as:

y = Acos(Bx)

This gives

y = 5cos(2π/3 x)

Hence, the function that models the horizontal displacement as a function of time in seconds is y = 5cos(2π/3 x)

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The measure of the angle θ is 30 degrees, or the magnitude of theta is 30 degrees.

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

We have a diagram shown in the picture.

The measure of an angle is 30 degrees shown.

The triangle is a right-angled triangle

30-60-90

Two parallel lines are shown which are intersected by a transversal.

The adjacent angle is 60 degrees.

The measure of angle θ:

θ = 90 - 60

θ = 30 degrees

Thus, the measure of the angle θ is 30 degrees, or the magnitude of theta is 30 degrees.

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The period of the y=1/2 sin (2x)-3 is 2.

We have given that,

y=1/2 sin (2x)-3

We have to determine the period

A period is the part of the menstrual cycle when a woman bleeds from her vagina for a few days.

Normally the period of sin(2x) is 2x, but the pi inside the sin(2x) is a horizontal compression by a factor of 1/pi.

 So 2pi·1/pi = 2

The 1/2 and -3 do not impact the period. Those just impact the amplitude (vertical aspect) of the graph.

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Answer:

It's actually D. Pi.

Step-by-step explanation:

I have no clue what the other guy was saying. The period of this graph is Pi or π.

Answer:

If you're asking for the interest:

a) 960

b) 80

c)2.63 approx.

Step-by-step explanation:

interest = principal x rate x time OR [tex]I = prt[/tex]

TIME IS IN YEARS.

Thus, the first would be [tex]I = 4000 *4 *6%[/tex]% = 960

Second: 4 months = [tex]\frac{1}{3}[/tex] year

I = 4000x[tex]\frac{1}{3}[/tex]x6% = 80

Third: t = 4 days =[tex]\frac{4}{365}[/tex]year

I = 4000x6%x[tex]\frac{4}{365}[/tex] ≈ 2.63

Answer:

your questions is not clear but from my observations

let the number be x

x/7+25=34

x+175/7=34

x+175=238

x=238-175

×=63

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