Solve the Scientific Notation

(4 x 10⁴) (2 x 10³) ​

Answer:

x is greater than or equal to 0.

Step-by-step explanation:

The domain is just your X value. In contrast, the range is your Y value. Since we start at and include 0 on the X axis, we continue forever from there. Therefore, X is greater than or equal to 0.

Answer:

[tex]\left\lbrace\begin{aligned}& a_{1} = 7 \\ & a_{n+1} = a_{n} - 3 && \text{for $n \ge 1$}\end{aligned}\right.[/tex].

Step-by-step explanation:

An arithmetic sequence could be defined using only two pieces of information:

The arithmetic sequence in this question is given in the explicit form, [tex]a_{n} = 7 - 3\, (n - 1)[/tex], which is equivalent to [tex]a_{n} = 7 + (-3)\, (n - 1)[/tex]. In the explicit form, [tex]a_{1}[/tex] and [tex]d[/tex] are described in the same equation:

[tex]\text{$a_{n} = a_{1} + d\, (n - 1)$ for $n \ge 1$}[/tex].

Compare [tex]a_{n} = a_{1} + d\, (n - 1)[/tex] with [tex]a_{n} = 7 + (-3)\, (n - 1)[/tex]: [tex]a_{1} = 7[/tex] whereas [tex]d = -3[/tex].

When an arithmetic sequence is given in the recursive form, [tex]a_{1}[/tex] and [tex]d[/tex] are specified in two separate equations:

[tex]\left\lbrace\begin{aligned}& a_{1} = a_{1} \\ & a_{n+1} = a_{n} + d && \text{for $n \ge 1$}\end{aligned}\right.[/tex].

In this question, it was found that [tex]a_{1} = 7[/tex] whereas [tex]d = -3[/tex]. Hence, the corresponding recursive formula for this arithmetic sequence would be:

[tex]\left\lbrace\begin{aligned}& a_{1} = 7 \\ & a_{n+1} = a_{n} + (-3) && \text{for $n \ge 1$}\end{aligned}\right.[/tex].

Answer: 36 and 28

Step-by-step explanation:

x + x+2 = 74

2x = 72

x1 = 36

x2 = 28

[tex]\\ \sf\longmapsto x^2-4x-5=0[/tex]

[tex]\\ \sf\longmapsto x^2-5x+x-5=0[/tex]

[tex]\\ \sf\longmapsto x(x-5)+1(x-5)=0[/tex]

[tex]\\ \sf\longmapsto (x-5)(x+1)=0[/tex]

[tex]\\ \sf\longmapsto x=5\:or\:x=-1[/tex]

Solution is (-1,0) and (5,0)

Graph attached.

Spare way:-

Use quadratic formula .

[tex]\\ \sf\longmapsto x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-(-4)\pm\sqrt{(-4)^2-4(1)(-5)}}{2(1)}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{4\pm \sqrt{16+20}}{2}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{4\pm 6}{2}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{10}{2}\:or\:\dfrac{-2}{2}[/tex]

[tex]\\ \sf\longmapsto x=5\:or\:-1[/tex]

[tex]x {}^{2} - 4x - 5 = 0 \\ x {}^{2} + x - 5x - 5 = 0 \\ x(x + 1) - 5(x + 1) = 0 \\ (x + 1)(x - 5) = 0 \\ x + 1 = 0 \\ x - 5 = 0 \\ x = - 1 \\ x = 5[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

Let d represent the number of dimes (the higher-value coin). Then the number of nickels is 40-d, and the total value in cents is ...

  5(40 -d) +10(d) = 290

  200 +5d = 290

  5d = 90

  d = 18

  40 -d = 22

There are 22 nickels (and 18 dimes).

_____

Additional comment

If you write the equation in terms of the number of nickels (n), you end up with the equation -5n = -110. The formulation used above avoids negative numbers, which can be confusing for some people.

Answer:

Step-by-step explanation:

Prove that 52n − 1 is divisible by 8 for all n ∈ N.

Solution

To prove by induction, we must

1. Show it is true for n = 1

2. Assume true for n and prove it is true for n + 1.

Let P(n) be the statement 52n − 1 is divisible by 8.

When n = 1, 52 − 1 = 24, which is divisible by 8.

This proves P(1).

Suppose that P(n) is true, i.e., 52n − 1 is divisible by 8.

Then 52(n+1) − 1 = 52

· 5

2n − 1 = 52

(52n − 1) + (52 − 1).

Note that 52n −1 is divisible by 8 using P(n) and also 52 −1 = 24 is divisible

by 8. Thus we have proved that P(n + 1) is true.

We conclude that P(n) is true for all n ∈ N.

Is there a answer D?

The hight increases 2.5 inches per second.

Answer:

The answer is the height of the water increases 2.5 inches per second.

Step-by-step explanation:

Answer:

13th Amendment- C

14th Amendment- A

15th Amendment- B

Step-by-step explanation:

Answer:

13th C

14th A

15th B

Step-by-step explanation:

You have to think of it in events in order. Slaves can't vote until they're free, so the thirteenth amendment gets rid of slavery. It wouldn't make sense if slaves could vote without other freedoms, so freedoms come first. 14th is B for this reason. Lastly, the fifteenth amendment grants African American men to vote years down the road (women weren't allowed to vote yet at all, so the African American females also didn't have this right)

Answer:

a

Step-by-step explanation:

Answer:

85%

Step-by-step explanation:

68 divided by 80 is equal to 68/80.

Divide top and bottom by 4 to get 17/20.

17 divided by 20 is 85%

Answer:

0.84 x 6 = 5.04

Step-by-step explanation:

5.04 is the answer.

Answer:

Answer B is correct

Step-by-step explanation:

We want to multiply 6 and 0.84

First you have to forget about decimals and multiply those two numbers

084

   ×6

-----------------

 =  504

And then consider about the number of decimal places. According this sum you have 2 decimal places ( 0.84 )

And now you can write the answer as

= 5.04

Hope this helps you.

Let me know if you have any other questions :-)

deu ruim  aqui pq eu não sei

Step-by-step explanation:

Answer:

5(x+y) - 2x

this is the algebraic expression

Answer: 6

Step-by-step explanation:

Answer:

32 revolutions per minute(rpm)

Step-by-step explanation:

v inversely proportional to t

so if v increases t will decrease and vice versa

inverse equation is xy=k

xy=k

48×20= 960 (revolutions)

then you'll take k(960) and divide it by number of teeth

so..

960/30 = 32 revolutions per minute

Answer:

The dimensions are 18m by 18m

Step-by-step explanation:

Since the problem says the floor is square, we know that all 4 sides are equal. The area for a square is one side squared. Since we do not have the actual length per side, we write the following formula: x^2= 324.

From there, we simply take the square root to figure out that one side is 18 meters. Once we know one side, we know all 4 because a square has equal sides. Therefore, the dimensions of the floor are 18m x 18m. I hope this helps!

Answer:

p^2 - p - 12

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

[tex](p - 4)(p + 3) = {p}^{2} + 3p - 4p - 12 \\ = {p}^{2} - p - 12[/tex]

[tex]\\ \sf\longmapsto GI^2=FI(IH)[/tex]

[tex]\\ \sf\longmapsto GI^2=6(12)[/tex]

[tex]\\ \sf\longmapsto GI^2=72[/tex]

[tex]\\ \sf\longmapsto GI=\sqrt{72}[/tex]

[tex]\\ \sf\longmapsto GI=8.22[/tex]

If FI = 6 and IH = 12. The length of GI = 8.22.

Given: FI = 6 and IH = 12

To estimate the length of GI

[tex]$\mathrm{Gl}^{2}[/tex] = FI (IH)

Simplifying the above equation, we get

[tex]$\mathrm{Gl}^{2}[/tex]= 6 (12)

Remove parentheses: (a) = a

Multiply the numbers then, we get

[tex]$6 \cdot 12=72$[/tex]

[tex]$\mathrm{Gl}^{2}[/tex] = 72

GI = [tex]$\sqrt{72}[/tex]

GI  = 8.22

Therefore, the length of GI = 8.22.

To learn more about triangles length

https://brainly.com/question/14302533

#SPJ2

Answer:

Que?

Step-by-step explanation:

I don't speak Español

Answer:

B ≤ 24

Step-by-step explanation:

Answer:

0.0243902439

Step-by-step explanation:

Answer:

(4,0)

Step-by-step explanation:

Both lines intersect, or cross, at one point on the graph, which is (4,0). Therefore, that point is a solution to the system of equations.

Hope this helps!

Answer:

18

Step-by-step explanation:

90-80=10

10*2=20

20-2=18

Answer:

90-80 x 2-2 = 0

Step-by-step explanation:

Firstly. subtract 80 from 90 to get 10.

90-80= 10

Then subtract 2 from 2, to get 0.

2-2=0

Lastly, for your answer multiply 10 by 0 to get 0.

10 x 0 = 0

,  Hope this helps :)

Have a great day!!

Answer:

I only know what y is, y is 4a, wait I think a is z and z is a. I’m not sure

Step-by-step explanation:

Step-by-step explanation:

value of a :

4a + a = 180°

5a = 180°

a = 36°

value of y :

y = 4a

y = 4(36)

y = 144°

value of z :

z = a

z = 36°

Answer:

The answer is 12

Step-by-step explanation

6x2

Just multiply 6 by 12

Answer:  80

Step-by-step explanation: Well the 60 is too slanted and 90 would be straight 70 would be less straight then it is 80

Answer:

no it would be more

Step-by-step explanation:

3+3=6 so not 17 at all

Answer:

x > 17/2 - 3

Step-by-step explanation:

17 < 2(x+3)

17/2 < x+3

17/2 - 3 < x

Answer:

2 2/5.

Step-by-step explanation:

6*1/3=6/3=2 hours

hope it helped