verify the identity algebraically. Start on one side of the equation and manipulate using techniques to arrive at the other side

sin^2 − sin^4 = cos^2 − cos^4

Answer:

x = 42°

Step-by-step explanation:

We have from figure

x + 48° = 90°

x = 90° - 48°

= 42°

HOPE THIS HELPS AND HAVE A NICE DAY <3

Answer:

T4 = 162   T5 = 486    T6 = 1458

Explanation:

the pattern is multiply the previous number by 3

so 6 x 3 = 18

18 x 3 = 54

54 x 3 = 162 and so on.

Answer:

B. The citizens

Step-by-step explanation:

When captain Preston said fire he blame the citizens for foreign saying they were harassing the soldiers

Hope this helps! ;-)

Answer:

its b actually jack had 5 numbers for each button

Answer:

6202.73 cubic centimeters

Explanation:

volume of sphere: 4/3 π(radius)³

Here given:

Volume:

insert values

simplify

Answer:

y=3x-23

Step-by-step explanation:

You have to distribute 3 and you get y+5=3x-18 and then move 5 over by subtracting it from each side you get y=3x-23 hope you enjoy your summer!

Answer:

C. y = 3x - 11

Step-by-step explanation:

Combine the y and 3

Add the 5 and 6 to get 11

Write the equation in standard form

Answer:

$ 199.56 per sq ft

Step-by-step explanation:

price / ft^2    =    450 000 / 2255 = 199.56

Answer:

Given:

As the exponent of Sample A is negative, this means that the mass of Sample A is smaller than that of Sample B.

Therefore, to find the proportional relationship between the samples, divide the mass of the larger sample (B) by the mass of the smaller sample (A):

[tex]\begin{aligned}\implies \dfrac{\textsf{Sample B}}{\textsf{Sample A}}=\dfrac{3.6 \times 10^2}{2.4 \times 10^{-2}} & =\dfrac{3.6}{2.4} \times \dfrac{10^2}{10^{-2}}\\\\ & =1.5 \times 10^{(2-(-2))}\\\\& = 1.5 \times 10^4 \end{aligned}[/tex]

To convert the scientific notation [tex]1.5 \times 10^4[/tex] to a decimal, move the decimal point to the right 4 places:

[tex]\implies 1.5000 \times 10^4=15000[/tex]

(If the exponent is positive, move the decimal point to the right.  If the exponent is negative, move the decimal point to the left. The number of places to move the decimal point is the numerical value of the exponent).

Therefore, the mass of sample B is 15,000 times the mass of sample A, so Narissa is correct.

Answer:

Unfortunately they are not simmilar because 9 is not similar to 80 but to 90, they would be similar if the triangle was 40, 70 and 90, know what I mean?

Step-by-step explanation:

Answer:

Step-by-step explanation:

First step is to solve the numerator

so the fraction is 29/10/29

so the whole expression is 1/10

Answer: Solve the numerator, numerator and denominator are equal, expression equals 13

Step-by-step explanation:

13 x (5.6-2.7/2.9)

1. The first step; solve the numerator (5.6-2.7=2.9)

2. The numerator and dominator are equal, so the whole expression equals 13 (2.9/2.9 = 1 --> 1*13 = 13)

well, tis noteworthy that the equation of the parabola above is already in vertex form, which means its vertex is at (3 , 6) and its focus point is at (3 , 1).

now, the focus point is below the vertex, meaning is a vertical parabola opening downwards, like a hump.

[tex]\textit{vertical parabola vertex form with focus point distance} \\\\ 4p(y- k)=(x- h)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h,k+p)}\qquad \stackrel{directrix}{y=k-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\cap}\qquad \stackrel{"p"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]y=-\cfrac{1}{20}(x-3)^2+6\implies y-6=-\cfrac{1}{20}(x-3)^2\implies \stackrel{4p}{-20}(y-\stackrel{k}{6})=(x-\stackrel{h}{3})^2 \\\\\\ 4p=-20\implies p=-\cfrac{20}{4}\implies p=-5[/tex]

the focus point must be a negative distance since the parabola is opening downwards, and the directrix is across the vertex at "p" distance, Check the picture below.

Answer:

19/30

Step-by-step explanation:

had this in an old problem in school

:D

Answer:

  (b) both powers should be in the denominator with positive exponents

Step-by-step explanation:

The applicable rule of exponents is ...

  a^-b = 1/a^b

__

The correct simplification is ...

  [tex]x^{-3}y^{-9}=\dfrac{1}{x^3}\cdot\dfrac{1}{y^9}=\boxed{\dfrac{1}{x^3y^9}}[/tex]

Both variables should have positive exponents in the denominator.

Answer:

B

Step-by-step explanation:

B is the answer to your question

The amount of money spent by these persons individually will be $ 93, $116, and $ 99.

A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.

Ram, Shyam, and Mohan purchased biscuits from different brands P, Q, and R.

Ram purchased 10 packets of P, 7 packets of Q, and 3 packets of R.

Shyam purchased 4 packets of P, 8 packets of Q, and 10 packets of R.

Mohan purchased 4 packets of P, 7 packets of Q, and 8 packets of R.

If brand P costs € 4, Q costs € 5, and R costs € 6 each.

Then the amount of money spent by these persons individually will be

Then these are shown in the form of a matrix. Then we have

[tex]\begin{bmatrix}10 & 7 & 3 \\4 & 8 & 10 \\4 & 7 & 8 \\\end{bmatrix} \begin{bmatrix}4 \\ 5 \\ 6 \\\end{bmatrix}[/tex]

Then the amount of money spent by these persons individually will be

[tex]\begin{bmatrix}10 & 7 & 3 \\4 & 8 & 10 \\4 & 7 & 8 \\\end{bmatrix} \begin{bmatrix}4 \\ 5 \\ 6 \\\end{bmatrix} = \begin{bmatrix} 93\\ 116 \\99 \end{bmatrix}[/tex]

More about the matrix link is given below.

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Answer:

60cm²

Step-by-step explanation:

2(1/2×4×3)+(3×6)+(5×6)

Answer:

A^2 +b^2 = c^2

8^2 + 13^2

64 + 169

233

233 = c^2

so we find the square root of 233

answer is 15.26

Answer:

15.26

Step-by-step explanation:

The Pythagorean theorem

The Pythagorean theorem is used to find missing side lengths in a right triangle (  a triangle with a right angle or 90 degree angle , note that this only works with right triangles ). In order to use the Pythagorean theorem we must have 2 given side lengths.

The formula of the Pythagorean theorem is

a² + b² = c²

Where a and b = base lengths and c = hypotenuse ( longest side )

Solving for the missing side

Here, we are given two side lengths, more specifically the two legs and we need to find the missing side which is the hypotenuse.

To do so, we plug in what we are given ( a = 8 and b = 13 ) and solve for what we need to find ( c )

Plugging in what we are given

Given:

a = 8 , b = 13

Formula : a² + b² = c²

==> plug in values

8² + 13² = c²

==> simplify exponents

64 + 169 = c²

==> add 64 and 169

233 = c²

==> take the square root of both sides

c = 15.26 ( rounded to two decimal places )

And we are done!

The skewness of the plot is positive skewness, and the equation of the regression line is y = -0.052x + 2.706

To do this, we make use of the following data values

15, 16, 16, 17, 17, 17, 20, 22, 22, 30

The mean is calculated using:

Mean = Sum/Count

So, we have:

Mean = (15+ 16+ 16+ 17+ 17+ 17+ 20+ 22+ 22+30)/10

Evaluate

Mean = 19.2

Using a graphing calculator, we have:

Standard Deviation, σ = 4.30

The min and the max are:

Min = 15

Max = 30

See attachment for the histogram.

From the attached histogram, we can see that the skewness of the plot is positive skewness

The min and the max values are the range of the normal plot.

So, the percentage area between these values is 100%

Let the three samples be

16, 17, and 30

The sample mean is:

Mean = Sum/Count

So, we have:

Mean = (16 + 17 + 30)/3

Evaluate

Mean = 21

The sample mean is different from the population mean

Since the means are not equal, then we fail to accept the Null hypothesis.

To do this, we make use of a graphing calculator with the following calculation summary:

X Values

Y Values

X and Y Combined

R Calculation

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

r = -8 / √((154)(3.333)) = -0.3531

The correlation coefficient -0.3531 means that there is a negative correlation between the data values

To do this, we make use of a graphing calculator with the following calculation summary:

So, we have:

y = -0.052x + 2.706

Hence, the equation of the regression line is y = -0.052x + 2.706

See attachment 2 for the scatter plot.

Read more about scatter plots and histograms at:

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Answer:

see below

Step-by-step explanation:

6!    is    six factorial

   =   6 x 5 x 4 x 3 x 2 x 1  = 720

Answer:

  (x, y) = (17/31, 1/31)

Step-by-step explanation:

Simplify the given equation, then equate real parts and equate imaginary parts. This will give you two equations in the two unknowns.

__

  (5 -3i)(x -yi) = 3(x +2yi) +1 -2i

 5x -5yi -3xi +3yi² = 3x +6yi +1 -2i

  (5x -3y) +i(-5y -3x) = (3x +1) +i(6y -2)

This resolves to the two equations ...

Putting these equations into general form gives ...

  2x -3y -1 = 0

  3x +11y -2 = 0

Using the "cross multiplication method" to solve these equations, we get ...

  x = ((-3)(-2) -(11)(-1))/(2(11) -3(-3)) = 17/31

  y = ((-1)(3) -(-2)(2))/31 = 1/31

The values of x and y that satisfy this equation are ...

  (x, y) = (17/31, 1/31)

_____

You can read more about the cross multiplication method here.

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Answer:

no

Step-by-step explanation:

6^2+7^2=9^2

36+49=81

no its not a right triangle

Answer:

x = 7 and the degree of other two angles is 69.

Step-by-step explanation:

As we can see it is an isosceles triangle so base angles of an isosceles triangle are equal so

9x + 6 + 9x + 6 + 42 = 180 (being sum of angles of triangle )

18x + 54 = 180

18x = 180 - 54

18x = 126

x = 126/18

x = 7

the degree of the other two angle is

= 9*7 + 6

= 69

Hope it helps :)

Answer:

Can you please write the question given to answer the graph

Answer:

The area is 40 units

Step-by-step explanation:

Answer:

5/21.

Step-by-step explanation:

Total number of balls = 7.

Prob(Blue on first pick) = 3/7

Prob(Blue on second pick) = 2/6 = 1/3

So Prob( 2 Blue's) = 3/7 * 1/3 = 3/21 = 1/7.

Prob(Red on first pick) = 2/7

Prob(Red on second pick) =  1/6

So Prob( 2 Red's) = 2/7 * 1/6 = 1/21.

Now the Probability of getting 2 white balls is the same as for the red balls

= 1/21.

Finally, the probability of 2 balls of the same colour

= 1/7 + 1/21 + 1/21

= 3/21 + 1/21 + 1/21

= 5/21.

the probability of picking two balls of the same color is 5/21.

To calculate the probability of picking two balls of the same color, we need to consider all the possible combinations of drawing two balls from the bag and then determine how many of those combinations result in both balls being the same color.

Total number of balls in the bag = 7

1. Probability of picking two blue balls:

Number of blue balls = 3

Probability of picking the first blue ball = 3/7

Probability of picking the second blue ball (after one blue ball has been picked) = 2/6 (since there are 2 blue balls left after one has been picked)

Total probability of picking two blue balls = (3/7) * (2/6) = 6/42 = 1/7

2. Probability of picking two red balls:

Number of red balls = 2

Probability of picking the first red ball = 2/7

Probability of picking the second red ball (after one red ball has been picked) = 1/6 (since there is 1 red ball left after one has been picked)

Total probability of picking two red balls = (2/7) * (1/6) = 2/42 = 1/21

3. Probability of picking two white balls:

Number of white balls = 2

Probability of picking the first white ball = 2/7

Probability of picking the second white ball (after one white ball has been picked) = 1/6 (since there is 1 white ball left after one has been picked)

Total probability of picking two white balls = (2/7) * (1/6) = 2/42 = 1/21

Now, we add up the probabilities of picking two balls of the same color:

Total probability = Probability of two blue balls + Probability of two red balls + Probability of two white balls

Total probability = 1/7 + 1/21 + 1/21

Total probability = (3 + 1 + 1)/21

Total probability = 5/21

Therefore, the probability of picking two balls of the same color is 5/21.

Learn more about probability here

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Answer:

3rd option (bottom left)

Step-by-step explanation: