Write down in terms of n, an expression for the nth term
of the following sequences:
a) 2 5 8 11 14
b) 9 11 13 15 17

Answer:

C. x = 10

Step-by-step explanation:

By Pythagoras Theorem:

[tex] \bigg( \frac{x}{2} \bigg)^{2} = {( \sqrt{74} )}^{2} - {7}^{2} \\ \\ \frac{ {x}^{2} }{4} = 74 - 49 \\ \\ \frac{ {x}^{2} }{4} = 25 \\ \\ {x}^{2} = 25 \times 4 \\ \\ {x}^{2} = 100 \\ \\ x = \sqrt{100} \\ \\ x = 10[/tex]

Answer:

Step-by-step explanation:

Use Pythagorean theorem.

Correct choice is C

[tex](x - a)(x - b)[/tex]

Step-By-Step Explanations:

1) Factor out the common term in the first two terms, then in the last two terms.

[tex]x(x - a) - b(x - a)[/tex]

2) Factor out the common term x - a.

[tex](x - a)(x - b)[/tex]

Therefor, the answer is ( x - a ) ( x - b ).

Answer:

10+.15x

Step-by-step explanation:

10 is already the monthly fee and wont change,

.15x is how many songs she gets, which can change

Answer:

x=6

Step-by-step explanation:

6x+4=2x+28

4x=24

x=6

Answer:

closest option B (50.24)

Step-by-step explanation:

A=πr²

= π×4×4

=π×16

=50.265m²

Area:

50.24 m^2

Explanation:

The formula for the area of a circle is A = πr²,

where:

Diagram:

[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 4\ m}\end{picture}[/tex]

Plug in the data. I'll use 3.14 for pi.

[tex]\bf{A=\pi \times4^2}\\\bf{A=3.14\times16}\\\bf{A=50.24\:m^2}[/tex]

Hence, area = 50.24 m^2

Answer:

25.13

Step-by-step explanation:

To find the diameter C = 2 π x r

Answer:

1, 2

Step-by-step explanation:

the mode is the ones that appear the most in a data set, so since 1 and 2 appear 4 times each, they are the two modes.

Answer:

"The drone is at the surface of the water at both 4 and 7 seconds into the observation."

Have a good day! :>

Answer:

B

Step-by-step explanation:

0 = t^2 - 11t + 28

0 = (t-4) x (t-7)

so it is at the surface at seconds 4, 7

Answer:

8 + 35 - 5

43 - 5

38

Answer:

38

Step-by-step explanation:

8+35−5

Add 8 and 35 to get 43.

43−5

Subtract 5 from 43 to get 38.

38

Answer: Think of it this way, symmetry is basically a mirror and you can better find the perimeter because you'll know that the sides are the same length

Step-by-step explanation:

Well if you have two sides that are symmetrical or an entire shape is symmetrical you can find the perimeter easier. So let's say two lines are symmetrical and one has the length of 2 the other one can also be two. If we have a symmetrical shape, then is would be a complete reflection.

A geometric object or form is symmetric when it can be broken up into two or more identical pieces and then placed in a systematic way.

The definition of symmetry is a proportionate and balanced similarity between two sides of an object, where one half is the mirror image of the other. For instance, certain geometric forms like, rectangle, and circle are symmetric along their respective axes of symmetry.

since the shape's two halves would perfectly match if you folded it along the line. The shape will also remain unchanged if a mirror were positioned along the line , a square has four lines of symmetry.

A geometric object or form is symmetric when it can be broken up into two or more identical pieces and then placed in a systematic way.

To know more about symmetry visit :-

brainly.com/question/15970176

#SPJ2

Answer: $10,000

Step-by-step explanation:

Lanna's dad stock worth will be the value of the total shares in both company A and company B.

Value of stock in company A = 100 × $45 = $4500

Value of stock in company B = 250 × $22 = $5500

Total stock worth = $4500 + $5500 = $10,000

Answer:

C

Step-by-step explanation:

Take a look at the RHS of the 2nd step, the denominator -- 1-sin²∅ = cos²∅

We come up to the conclusion of C

Answer:

41.4 degrees

Step-by-step explanation:

Find cos x by dividing both sides of this equation by 4:

cos x = 3/4 = 0.75

Using a calculator's inverse cosine function, find x:

arccos 0.75 = 0.723 radian, or

0.723 rad     180 deg

--------------- * ------------- = 41.4 degrees

        1             pi rad

Answer:

1) true

2) false

3) true

4)false

Step-by-step explanation:

It's a number cube with 1-6

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

:

Top: Quadrilateral

Down 1

Left: Kite

Right: Trapezoid

Down 1

Left: Parallelogram

Right: Isosceles trapezoid

Down 1

Left: Rhombus

Right: Rectangle

Down 1

Square

!

<!> ! <!>

-

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

Top: Quadrilateral

Down 1

Left: Kite

Right: Trapezoid.

Down 1

Left: Parallelogram

Right: Isosceles trapezoid

Down 1

Left: Rhombus

Right: Rectangle

Down 1

Square

Answer:

B - Decay

Please make my answer the brainliest!

Step by step explanation:

Answer:

Step-by-step explanation:

If y is proportional to x,

y ∝ x

y = kx

k = [tex]\frac{y}{x}[/tex]

Here, k = Proportionality constant

For y = -8 and x = -4,

k = [tex]\frac{-8}{-4}[/tex]

k = 2

For y = -4 and x = -2

k = [tex]\frac{-4}{-2}[/tex]

k = 2

For all values of x and y proportionality constant = 2.

For x = 0 and y = 0,

If we graph a line passing through these points, the line will pass through the origin (No y-intercept).

And we know that any line passing through the origin represents the proportional relation between x and y variables.

Therefore, given table represents the proportional relation.

Answer:

49 pizzas

Step-by-step explanation:

Start by writing it as a equation,

P stands for Pizza

6p +97 = 8p

Minus 6p from both sides

97=2p

Divide by 2

P= 48.5

You would need to round up, so it would be 49 pizza

Answer: 4 is the scaling increment

Step-by-step explanation:

12/3 = 4

8/2 = 4

Answer:

2x - 3y

Step-by-step explanation:

-1/4(-8x+12y) = 2x - 3y

Answer:

Don Abel debe construir un cuadrado con lados de 25 metros de longitud.

Step-by-step explanation:

Geométricamente hablando, el área y el perímetro del rectángulo rodeado por el cerco son representadas por las siguientes fórmulas:

[tex]A = w\cdot l[/tex] (1)

[tex]p = 2\cdot (w+l)[/tex] (2)

Donde:

[tex]A[/tex] - Área, en metros cuadrados.

[tex]p[/tex] - Perímetro, en metros.

[tex]w[/tex] - Ancho, en metros.

[tex]l[/tex] - Longitud, en metros.

Puesto que el área a cercar debe ser la máxima posible y la longitud disponible de malla es de 100 metros, cabe despejar el ancho en (2):

[tex]w = \frac{p}{2}-l[/tex]

Ahora, aplicamos esta expresión en (1) y expandimos la expresión resultante:

[tex]A = \left(\frac{p}{2}-l\right) \cdot l[/tex]

[tex]A = \frac{p\cdot l}{2} -l^{2}[/tex] (3)

A continuación, obtenemos la primera y segunda derivada de (3):

[tex]A' = \frac{p}{2}-2\cdot l[/tex] (4)

[tex]A'' = -2[/tex] (5)

Igualando (4) a cero, tenemos que el valor crítico de la longitud del rectángulo es:

[tex]\frac{p}{2}-2\cdot l = 0[/tex]

[tex]2\cdot l = \frac{p}{2}[/tex]

[tex]l = \frac{p}{4}[/tex]

Por (5), sabemos que ese valor crítico está asociado al área máxima.

Si sabemos que [tex]p = 100\,m[/tex], entonces la longitud del rectángulo es:

[tex]l = 25\,m[/tex]

Ahora, tenemos el ancho de la figura por (2):

[tex]w = \frac{p}{2}-l[/tex]

[tex]w = 25\,m[/tex]

En consecuencia, don Abel debe construir un cuadrado con lados de 25 metros de longitud.

Answer:

1.84

Step-by-step explanation:

First you solve what is in the parenthesis.

60 - 5.8 = 54.2

The equation is now 54.2 ÷ 5 - 3^2

Now, you do the exponents. 3^2 = 9 since 3 to the second power is just another way to write 3 x 3.

Your equation is now 54.2 ÷ 5 - 9

You then divide 54.2 ÷ 5

54.2 ÷ 5 = 10.84

The last equation is 10.84 - 9

10.84 - 9 = 1.84

Answer:

Answer 1.84.

Step-by-step explanation:

The first person's answer and explanation is correct.

Answer:

1,000 hits

Step-by-step explanation:

Saturday: 2,000 hits

Friday: 1,000 hits

2,000 - 1,000 = 1,000

Answer: 1,000 hits

Step-by-step explanation:

I just took the test, it's right.

Answer:

The amount of change will be £7.99

Step-by-step explanation:

Here, we want to calculate the amount of change that Mehvish should get

1/2 kg carrots at 50 p per kg will be;

1/2 * 50 = 25 p

3 kg potatoes at 64 p per kg will be

3 * 64 = p 192

2 kg onions at 42 p per kg

2 * 42 p = 84 p

1 1/2 kg chicken at £6 per kg will be:

since £1 is 100 p

1.5 * 6 = £9 (9 * 100 p = 900p)

since £1 is 100 p

£20 will be;

20 * 100 = 2,000 p

So let us make the subtraction as follows;

2,000- 900 - 84-192 - 25 = 799 p

In pounds, this is divided by 100

we have this as 799/100 = £7.99

Answer:8

Step-by-step explanation:

48/4 = 12

12-4 = 8

Answer: 22/13

Step-by-step explanation:

65e = 110

Divide 63 on both sides anyou get 22/13

Answer:

83.6 degrees

Step-by-step explanation:

Answer:

228

Step-by-step explanation:

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