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2 years ago

What is the explicit rule for the sequence?

Mathematics

1 answer:

NISA [10]2 years ago

4 0

9514 1404 393

Answer:

an=12−1.5n

Step-by-step explanation:

The first term is 10.5.

The common difference is ...

9 - 10.5 = -1.5

The n-th term can be described by ...

an = a1 +d(n -1)

an = 10.5 -1.5(n -1) = 10.5 -1.5n +1.5 . . . . eliminate parentheses

an = 12 -1.5n

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1. 63 is 90% of what number? 70 with double number lines-Super confused, please help!!

olganol [36]

Answer:

70.

Step-by-step explanation:

Let x be the required number.

We are asked to find the number whose 90% equals to 63.

We can represent our given information in an equation as:

Now, we need to solve for x.

Therefore, 90% of 70 is 63.

8 0

1 year ago

Please Help- K + ⅓ = 5 ⅛ | K = ? Show Your Reasoning.

blondinia [14]

Answer:

$4\frac{19}{24}$

Step-by-step explanation:

I hope I did this right:

So first thing to do is set up the equation.

$K + \frac{1}{3} = 5\frac{1}{8}$

Next thing to to is subtract 1/3 from both sides to get:

$K = 5\frac{1}{8} - \frac{1}{3}$

Next up, you will multiply each of the fractions by the opposing value

(multiply 1/8 by 3 and 1/3 by 8)

$K = 5\frac{3}{24}$ $-\frac{8}{24}$

Alright almost done, by multiplying 24 by 5 you get 120, that will go in the numerator to make the math a lot easier.

K = $\frac{123}{24}$ $-\frac{8}{24}$

Finally, you subtract 123 over 24 by 8 over 24.

K = $\frac{123}{24} - \frac{8}{24} = \frac{115}{24}$

Then just simplfy the 115/24 to get

$4\frac{19}{24}$

8 0

2 years ago

Can someone help me please i don’t understand it i really need too finish it by tonight

guajiro [1.7K]

Don't mind me, I just need points haha

6 0

2 years ago

Solve the following equation for X. Round your answer to four decimal places.

strojnjashka [21]

ANSWER

x = 1.2226

EXPLANATION

To solve this equation we have to apply the property of the logarithm of the base,

$\log _bb=1$

Thus, we can apply the natural logarithm - whose base is e, to both sides of the equation,

$\ln e^{4x}=\ln 133$

Now we apply the property of the logarithm of a power,

$\log a^b=b\log a$

In our equation,

$\begin{gathered} 4x\ln e^{}=\ln 133 \\ 4x^{}=\ln 133 \end{gathered}$

Then divide both sides by 4 and solve,

$\begin{gathered} \frac{4x^{}}{4}=\frac{\ln 133}{4} \\ x\approx1.2226 \end{gathered}$

The solution to this equation is x = 1.2226, rounded to four decimal places.

4 0

9 months ago

a bricklayer needs to order 6300kg of building sand.one grain of this sand weighs 7x10^-5. how many grains of sand are there in

gavmur [86]

Answer:

44.1 x 10^-2

Step-by-step explanation:

Since one grain

= 7 x 10^-5

6300kg = 7 x 10^-5 x 6300

Put 6300 in standard form

7 x 10^-5 x 6.3 x 10^3

Multiply the whole numbers and add the exponents

7 x 6.3 x 10^-5 + 3

44.1 x 10^-2

There are 44.1 x 10^-2 grains of sand in 6300kg

5 0

2 years ago