Which of the following is NOT a monomial? a. x-4 b. 22xy c. 3 d. -11x

Find the quotients Thank you

svlad2 [7]

Answer:

The answer to your question is below

Step-by-step explanation:

5) 2x² -7x + 34

x + 5 2x³ + 3x² - x + 1

-2x³ -10x²

0 - 7x² - x

+7x² +35x

0 +34x + 1

-34x - 170

0 - 160

Quotient = 2x² - 7x + 34

Remainder = -160

6) 2x² - 3x + 1

3x + 1 6x³ - 7x² + 0x + 2

-6x³ -2x²

0 -9x² + 0x

+9x² +3x

0 +3x + 2

- 3x - 1

0 + 1

Quotient = 2x² - 3x + 1

Remainder = 1

7 0

2 years ago

In a particular month, Ezhil spent one-fifth of her salary on shopping. Two-fifth of the remaining she gave to her sister. If sh

Oxana [17]

Answer:

$Salary = Rs23000$

Step-by-step explanation:

Given

$Shopping = \frac{1}{5}$

$Sister = \frac{2}{5}R$

$Left over = Rs11,040$

Required

Her salary in that month

Given that she spent $\frac{1}{5}$ of her salary on shopping, this implies that she has $\frac{4}{5}$ of her salary left

From what's left, she gave her sister $\frac{2}{5}$

This means she gave her sister $\frac{2}{5} * \frac{4}{5}$

Sister = $\frac{8}{25}$

Calculating a fraction of what's left

$Left over = 1 -Shopping - Sister$

$Left over = 1 - \frac{1}{5}- \frac{8}{25}$

$Left over = \frac{25 - 5 - 8}{25}$

$Left over = \frac{12}{25}$

Recall that she has Rs11,040

This means that

$\frac{12}{25} of Salary = Rs11,040$

Multiply both sides by $\frac{25}{12}$

$\frac{12}{25} * \frac{25}{12} * Salary = Rs11,040 * \frac{25}{12}$

$Salary = Rs11,040 * \frac{25}{12}$

$Salary = \frac{Rs276000}{12}$

$Salary = Rs23000$

Hence, her salary for that month was Rs23000

5 0

2 years ago

Read 2 more answers

Given cos t = 1/2 tan 0 find sin (t) and sec (t)

777dan777 [17]

Answer:

Sin(t) = $\frac{\sqrt{3} }{2} }$ and $sec(t) =2$

Step-by-step explanation:

The secant function is the reciprocal function of the cosine function. Therefore, given that $sec(t) = \frac{1}{cos(t)}$ then, if $cos(t) = \frac{1}{2}$ then $sec(t) =2$ .

On the other hand, if cos (t) = 1/2 ⇒ t = ± $\frac{\pi}{3}$

Then, the sin( $\frac{\pi}{3}$ ) = $\frac{\sqrt{3} }{2} }$

3 0

2 years ago

Wilson began watering his garden with a watering can that was completely full. The amount of water in the can as Wilson was wate

worty [1.4K]

Answer:

B. The amount of water originally in Wilson's can was 2.5 gallons.

7 0

3 years ago

The national mean sales price for a new one-family home is $181,900. A sample of 40 one-family homes in the south showed a sampl

SIZIF [17.4K]

Answer:

a

The null hypothesis is $\mu = \$181,900$

The alternative hypothesis is $\mu < \$ 181.900$

b

$t = -2.92$

c

$p-value = 0.0016948$

d

There no sufficient evidence to support the conclusion that the population mean sales prices for new one-family homes in the South is less expensive than the national mean of $181,900

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = \$ 181, 900$

The sample size is $n = 40$

The sample mean is $\= x = \$ 166,400$

The sample standard deviation is $s= \$ 33, 500$

The null hypothesis is $\mu = \$181,900$

The alternative hypothesis is $\mu < \$ 181.900$

Generally the test statistics is mathematically represented as

$t = \frac{ \= x - \mu }{ \frac{s}{\sqrt{n} } }$

=> $t = \frac{ 166400 - 181900 }{ \frac{33500}{\sqrt{40} } }$

=> $t = -2.92$

Generally the p-value is obtain from the z-table the value is

$p-value = P(Z < t ) = P(Z < -2.93) = 0.0016948$

=> $p-value = 0.0016948$

From the calculation we see that

$p-value > \alpha$ hence we fail to reject the null hypothesis

Thus there no sufficient evidence to support the conclusion that the population mean sales prices for new one-family homes in the South is less expensive than the national mean of $181,900

3 0

3 years ago