All categories

3 years ago

1. Solve the equation. (1 point) 5x-1= 14

Mathematics

1 answer:

ddd [48]3 years ago

5 0

Answer:

the answer is 3

Step-by-step explanation:

you multiply 5 by 3 and subtract it by 1 to get 14

You might be interested in

$4000 is deposited in an account that pays an APR of 8.4% compounded annually. How long will it take for the balance to reach

patriot [66]

Answer: number of years that it will take for the balance to reach $120,000 is 42 years

Step-by-step explanation:

Initial amount deposited into the account is $4000. This means that the principal is $4000

P = 4000

It was compounded annually. This means that it was compounded once in a year. So

n = 1

The rate at which the principal was compounded is 8.4%. So

r = 8.4/100 = 0.084

Let the number of years that it will take for the balance to reach $120,000. It means that it was compounded for a total of t years.

Amount, A at the end of t years is $120,000

The formula for compound interest is

A = P(1+r/n)^nt

120000 = 4000(1 + 0.084/1)^1×t

120000/4000 = 1.084^t

30 = 1.084^t

t = 42 years

8 0

3 years ago

Lim (x+1) (3x^2-9) X2

mafiozo [28]

Answer:

$\lim_{x \to 2} (x+1)(3x^2-9) = 9$

Step-by-step explanation:

Step 1: Write out limit

$\lim_{x \to 2} (x+1)(3x^2-9)$

Step 2: Evaluate

(2 + 1)(3(2)² - 9)

3(3(4) - 9)

3(12 - 9)

3(3)

5 0

3 years ago

4x + 3 = 4x + 15 solve for x Plese help

ira [324]

4x - 15 = 3 
4x = 3 + 15 
4x = 18 (divide both sides by 4 to get x) 
4x/4 = 18/4 
x = 4.5

4 0

3 years ago

Find the distance between the two points in simplest radical form. (7,2) and (-1, -3)

Paul [167]

Answer:

The answer is

<h2> $\sqrt{89} \: \: \: \: units \\$ </h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x_1 - x_2})^{2} + ({y_1 - y_2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(7,2) and (-1, -3)

The distance between them is

$d = \sqrt{( {7 + 1})^{2} + ({2 + 3})^{2} } \\ = \sqrt{ {8}^{2} + {5}^{2} } \\ = \sqrt{64 + 25} \\ = \sqrt{89} \: \: \: \: \: \: \: \: \: \:$

We have the final answer as

$\sqrt{89} \: \: \: \: units \\$

Hope this helps you

8 0

3 years ago

A random sample of 250 students at a university finds that these students take a mean of 15.3 credit hours per quarter with a st

SpyIntel [72]

Answer: $15.3\pm0.198$

(15.102, 15.498)

Step-by-step explanation:

The formula to find the confidence interval $(\mu)$ is given by :-

$\overline{x}\pm z_{\alpha/2, df}\dfrac{s}{\sqrt{n}}$

, where n is the sample size

$s$ = sample standard deviation.

$\overline{x}$ = Sample mean

$z_{\alpha/2}$ = Two tailed z-value for significance level of $\alpha$ .

Given : Confidence level = 95% = 0.95

Significance level = $\alpha=1-0.95=0.05$

$s= 1.6$

$\overline{x}=15.3$

sample size : n= 250 , which is extremely large ( than n=30) .

So we assume sample standard deviation is the population standard deviation.

thus , $\sigma=1.6$

By standard normal distribution table ,

Two tailed z-value for Significance level of 0.05 :

$z_{\alpha/2}=z_{0.025}=1.96$

Then, the 95% confidence interval for the mean credit hours taken by a student each quarter :-

$15.3\pm (1.96)\dfrac{1.6}{\sqrt{250}}\\\\ =15.3\pm 0.19833\\\\=\approx15.3\pm0.198\\\\=(15.3-0.198,\ 15.3+0.198)=(15.102,\ 15.498)$

Hence, the mean credit hours taken by a student each quarter using a 95% confidence interval. =(15.102, 15.498)

5 0

3 years ago