What do these both represent

Answer:  6x - 7y = 21

Step-by-step explanation:

sorry if its wrong

Answer: 2521.5 inches³

Step-by-step explanation:

The volume of a rectangular prism will be calculated by multiplying the three dimensions. In this case, the dimensions given are 20.5 inches long, 12 inches deep, and 10.25 inches tall.

Therefore, volume will be:

= Length × Width × Height

= 20.5 × 12 × 10.25

= 2521.5 inches³

Answer:

As points B and C move, DE moves in such a way that it remains parallel to BC. The lengths of the segments change with B and C, but the ratios remain the same.

Step-by-step explanation:

Plato Answer

Answer:When points B and C move, DE moves yet it remains parallel to BC.

Lengths segments change with B and C: ratios remain the same.

Step-by-step explanation:

I changed up the sample answer same stuff just worded different so it is not put as plagiarism

Step-by-step explanation:

a)

[tex] \frac{1 + \sin y}{ \cos y} + \frac{ \cos y}{1 + \sin y} = \frac{1 + 2 \sin y + \sin^{2} y + \cos ^{2} y}{ \cos y(1 + \sin y)} [/tex]

[tex] = \frac{2 + 2 \sin y}{ \cos y (1+ \sin y)} = \frac{2}{ \cos y} = 2 \sec y[/tex]

b)

[tex] \frac{ \cot x}{ \tan x + \cot x} = \frac{ \cos x}{ \sin x( \frac{ \sin x}{ \cos x} + \frac{ \cos x}{ \sin x} )} [/tex]

[tex] = \frac{ \cos x}{ \frac{ \sin^{2} }{ \cos x} + \cos x } = \frac{ \cos x}{ \frac{ \sin ^{2} x + \cos^{2} x}{ \cos x} } [/tex]

[tex] = \cos ^{2} x[/tex]

c) Note that cscx = 1/sinx so

[tex] \csc^{2} \theta \tan^{2} \theta - 1= \frac{1}{ \cos^{2} \theta } - 1[/tex]

[tex] = \frac{1 - \cos^{2} \theta }{ \cos \theta} = \frac{ \sin^{2} \theta}{ \cos ^{2} \theta } = \tan^{2} \theta[/tex]

Answer:

1.771

Step-by-step explanation:

log 3^x = 7

x log3 = log 7

divide both sides by log3

x = log7 / log 3

x = 1.771

Answer:

Answer of given question is 1.771

Step-by-step explanation:

Given :

[tex]3^x=7[/tex]

Taking log on both side

[tex]log(3^{x} )=log 7\\xlog3=log7\\x=\frac{log7}{log3} \\x=1.7712[/tex]

Therefore, answer of the given question is 1.771

Answer:

[tex]a_5 = 21[/tex]

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + d(n-1)[/tex]

In which [tex]a_1[/tex] is the first term and d is the common difference.

In this question:

[tex]a_1 = 5, d = 4[/tex]. So

[tex]a_n = a_1 + d(n-1)[/tex]

[tex]a_n = 5 + 4(n-1)[/tex]

Find the value of a_5

[tex]a_n = 5 + 4(n-1)[/tex]

[tex]a_5 = 5 + 4(5-1) = 5 + 16 = 21[/tex]

So

[tex]a_5 = 21[/tex]

The [tex]a_{5}[/tex] term of an arithmetic sequence is 21.

An arithmetic sequence is a sequence of numbers where the difference between consecutive terms is constant, and this difference is called the common difference.

The nth term of the sequence is given by

[tex]\rm a_{n} =a_{1} + (n-1)d\\[/tex]

[tex]a_{1}[/tex]= the first term of the sequence and d is a common difference.

[tex]\rm a_{1} = 5, d=4\\\rm a_{n} =a_{1} + (n-1)d\\\rm a_{n} = 5 + 4(n-1)\\\rm a_{5} = 5 + 4(5-1)\\\rm a_{5} = 21[/tex]

Therefore, The [tex]a_{5}[/tex] term of an arithmetic sequence is 21.

Learn more about arithmetic here;

https://brainly.com/question/2171130

Answer:

56%

Step-by-step explanation:

because of the 56% it had to be true to be in the question at all.

Step-by-step explanation:

the answer is in the above image

use the app

WOLFRAM ALPHA it helps a lot

Answer:

[tex] \frac{1}{ 2^{1} } + \frac{1}{ {3}^{2} } + \frac{1}{ {4}^{3} } + \frac{1}{ {5}^{4} } + ... \\ \frac{1}{2} + \frac{1}{9} + \frac{1}{64} + \frac{1}{625} + ... \\ = \frac{226201}{360000} \\ = 0.6283..[/tex]

Answer:

4.

Step-by-step explanation:

The orientation of the shape is the same  4 times during 360 degree turn.

Answer:

4

Step-by-step explanation:

Rotational symmetry, also known as radial symmetry in biology, is the property a shape has when it looks the same after some rotation by a partial turn. An object's degree of rotational symmetry is the number of distinct orientations in which it looks exactly the same for each rotation.

Answer:

J

because there is only one number in between 10-19 which is 18. One number in between 20-29 which is 26. 2 numbers in between 40-49 which is 46 and 47. 3 numbers in between 50-59 which is 53, 54, 59. and 1 number in between 70-79 which is 75

Step-by-step explanation:

Brainly?

Answer:

-1

Step-by-step explanation:

See Image below:)

Answer:

-1

Step-by-step explanation:

Answer:

61

Step-by-step explanation:

thats right

Answer:

both plans are correct

Step-by-step explanation:

I know this because I just did the question

9514 1404 393

Answer:

Step-by-step explanation:

The rhombus has several relevant properties.

The last of these relations can be used to find x:

  7x° = 35°

  x = 35°/7° = 5

The second of the relations can be used to find y:

  3y° = 90°

  y = 90°/3° = 30

The first of the relations can be used to find z:

  10z -8 = 5z +32

  5z = 40 . . . . . . . . . add 8-5z

  z = 40/5 = 8

In the function f(x) = log2(x + 3)), the smallest average rate of change in the  function is in the interval,  (6,8)

The logarithmic function is an expression which we can write as, y = logₐx, where a>0 & x>0, It is the inverse of exponential function.

Formulae for logarithmic function are,

LogAB = LogA + LogB

Logₐaᵇ = b

Given that,

A logarithmic function,

f(x) = = log2(x + 3)

Rate of change = Change in values of function/change in x

                          =  [F(b) - F(a)]/ b-a

For the interval, (0, 2)

f(0) = Log2(0 + 3)  = Log(6)

f(2) = Log2(2 + 3)  = Log(10)

Rate of change =   Log(10) -  Log(6) /2

                          =  0.11

Similarly, for the intervals,    (4, 6),   (2, 4),   (6,8)

Hence, the smallest average rate is for the interval, (6, 8)

To know more about Logarithmic function check:

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#SPJ1

Answer:

I think its

im not sure

Step-by-step explanation:

Answer:

r=20

Step-by-step explanation:

since the angle and sum of a straight line is equal to 180, you structure an equation:

180=105+(4r-5)

solve for r

180=100+4r

80=4r

20=r

check answer

4r-5     4(20)-5

80-5

75+105=180

Step-by-step explanation:

Volumeof cube = s³

= 5³

=125cm³

Surface area of cube = 6•s²

= 6 x 5²

= 6 x 25

= 150cm²

v=l³

v=5³

v=125cm³#

Step-by-step explanation:

hope you like it

Answer:

uhh hope this helps

Step-by-step explanation:

A Diginacci sequence is created as follows.

• The first two terms are any positive whole numbers.

• Each of the remaining terms is the sum of the digits of the previous

two terms.

For example, starting with 5 and 8 the Diginacci sequence is

5, 8, 13, 12, 7, 10,. . .

The calculations for this example are

5 + 8 = 13, 8 + 1 + 3 = 12, 1+ 3 +1+ 2 = 7, 1 + 2 + 7 = 10.

a) List the first 26 terms of the Diginacci sequence above.

b) Find, with explanation, two starting terms for a Diginacci sequence

so that its 2021st term is 11.

c) Find, with explanation, a Diginacci sequence that has no term equal

to 11.

d) Find, with explanation, a sequence with two different starting terms

which contains five consecutive terms that are even and not all identical

Both 2 and 3 is correct.

Answer: 4145.43

Have a great day! ;)

Answer:

-1

Step-by-step explanation:

f(0) = -5^0 = -1

Step-by-step explanation:

The complete frequency distribution table for the data has been attached to this response.

The frequency column contains values that are the number of times the given range of hours appear in the data. For example, numbers in the range 0 - 2 hours, appear 9 times in the data. Also, the numbers in the range 3 - 5 appear  6 times. The same logic applies to other ranges.

The relative frequency column contains the ratio of the number of times the given range of hours appear in the data, to the total number of outcomes. The total number of outcomes is the sum of all the frequencies on the frequency column. This gives 38 as shown.

So, for example, to get the relative for the numbers in the range 0-2, divide their frequency (9) by the total outcome or frequency (38). i.e

9 / 38 = 0.24

Also, to get the relative for the numbers in the range 3-5, divide their frequency (6) by the total outcome or frequency (38). i.e

6 / 38 = 0.16

Do the same for the other ranges.

Answer:

83°

Step-by-step explanation:

The sum of all interior angles of a trapezoid is 360°.

103° + 97° + 77° + x° = 360°

Solve for x°

x° = 83°

Answer:

83° pow

Step-by-step explanation:

Baka tama ee kasi yna sagot ko sa module e

Answer:

Range=80/45=35

Median=69.5

Mode=80

Step-by-step explanation:

Range=highest number - smallest number

Mode=the highest occurring number

Answer:

t² - 7 t + 6 = 0; es una ecuación de segundo grado en t. Sus raíces son: t = 6, t = 1; la segunda solución es físicamente imposible. Uno solo de ellos no puede llenar la piscina en menos tiempo que los dos juntos. Por lo tanto uno de ellos demora 6 horas y el otro 6 - 3 = 3 horas.

From the graph,

g(2) = 4 ( from the coordinate (2,4))

[ The green line represent the function g(x)]

f(2)= 0

[ The red line represent the function f(x)]

(g + ƒ)(2) = g(2)+f(2) = 4+0 = 4

OPTION A is the correct answer

Answer:

I think is 15 dollars.

Step-by-step explanation:

each pound cost 1.5 multiply it by 10

Answer:

$15

Step-by-step explanation:

4 pounds are $6

10pounds are $?

1 pound would be $1.5, because 6/4 = 3/2= 1.5

If one pound is 1.5 dollars, 10 pounds would be 10*1.5=$15

Answer:76

Step-by-step explanation:

Solution :

Given the Joint Probability distribution is :

Y|X     0         1           2           3            P(y)

0       k       0.03    0.03      0.03      k+0.09

1      0.01    0.02    0.04      0.04        0.11

2     0.01    0.01     0.05      0.72        0.79

P(x) k+0.02  0.06   0.12      0.79       k+0.99

Since we know,

[tex]$\sum \sum P(x_i,y_j) = 1$[/tex]

⇒ k + 0.99 = 1

⇒ k = 1 - 0.99

⇒ k = 0.01

Therefore, the value of k is 0.01