All categories

3 years ago

Find the 27th term in the arithmetic sequence of 59,56,53,50

Mathematics

1 answer:

statuscvo [17]3 years ago

5 0

solution:

$A_{n}=59-3(n-1)\\where, n=1,2,3,.....\\A1=59\\A2=56\\A3=53\\A_{n}=a+(n-1)dA27=59+(27-1)3\\=59-78\\=-19\\A27 term is -19$

You might be interested in

The sales of laptop computers t years after a particular model is introduced is given by the function y = 6250 ln (400t − 35), w

andreev551 [17]

Answer:

See explanation below.

Step-by-step explanation:

Assuming the following function:

$y =6250 ln(400t-35)$

Where y represent the sales and t the years after a particular model is introduced.

For this case if we find the domain for this function we have this:

$400t -35>0$ Since the neatural log for negative numbers or 0 is not defined.

So then $t >\frac{35}{300} =\frac{7}{80}$

And the range on this case is all the possible reals.

The sales are equal to 0 when:

$ln(400t-35) = 0$

If we exponential both sides we got:

$400t -35 = 1$

$t = \frac{36}{400}=\frac{9}{100}$

So then the x intercept is $(\frac{9}{100}, 0)$ . We don't have y intercept since the function not touch the y axis.

And we don't have a relative maximum or minimum since the function is increasing over the interval of all the reals.

The plot of the function is on the figure attached.

8 0

3 years ago

Write the algebraic expression for 4 more than the product of p and 8

Komok [63]

8p+4. The product of p and 8 is just 8*p which can be shortened to 8p. Four more is just to add 4

5 0

2 years ago

A rectangle and a square have the same perimeter. One side-length of the rectangle is $25\%$ longer than the other. What is the

S_A_V [24]

corrected question:

A rectangle and a square have the same perimeter. One side-length of the rectangle is 25% longer than the other. What is the ratio between the areas of the rectangle and the square?

Answer:

ratio of area of recatngle to square= 0.9879

Step-by-step explanation:

perimeter of rectangle = 2(L+B)

perimeter of a square = $4L_(s)$

L=B+0.25B

L=1.25B

$4L_(s)$ = 2(L+B)

$4L_(s)$ = 2(1.25B+B)

$4L_(s)$ = 2(2.25B)

$4L_(s)$ = 4.5B

B= 4/4.5 $L_(s)$

B= 0.889 $L_(s)$ ..........equ1

area of square = $L_(s)^{2}$

area of rectangle = L*B

=1.25B*B= $1.25B^{2}$

ratio of area of recatngle to square = $\frac{1.25B^{2} }{L_{s} ^{2}}$

referring to equ 1

ratio of area of recatngle to square = $\frac{1.25* (0.889L_{s}) ^{2} }{L_{s} ^{2}}$

= $\frac{ 0.9879L_{s} ^{2} }{L_{s} ^{2}}$

ratio of area of recatngle to square= 0.9879

8 0

2 years ago

Which of the following numbers are irrational numbers.

ahrayia [7]

Answer

sqrt 419 and 5.215...

Step-by-step explanation:

Irrational numbers are numbers that cannot be expressed with a fraction. The square root of 419 and 5.215... never terminates + never repeats and therefore it is an irrational number.

4 0

2 years ago

A triangle with vertices labeled as X, Y, and Z. Side X Z is base. Side Y X contains a midpoint M. A line segment drawn from Z t

MakcuM [25]

Answer:

The value of MX is 5.5 units.

Step-by-step explanation:

As the complete question is not given, the complete question is found online and is attached herewith

brainly.com/question/11944039

The diagram is attached with the solution.

As the line ZM is dividing the angle in two parts thus as the two angles are equal thus

The sides are given as

XZ=11

YM=3.5

YZ=7

Now by the theorem of the angles, the bisected angles are such that sin(<YZM)=sin(<XZM)

$sin($

So the value of MX is 5.5 units.

3 0

2 years ago