What are the zeros of the polynomial p(x) = x3 – 19x - 30?
-
1.
-10, 1, 3
2.
-6, -5, 1
3.
-3, -2,5
4.
-15, 1, 2

Answer:

a. 5000 kg

b. 300 ml

c. 9 hours

Answer:

[tex]\frac{5}{2} - d[/tex]

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Answer:

0.3

Step-by-step explanation:

Start at the beginning, follow the branch to A and then the branch to D (see attached annotated diagram).

When calculating the probability of an event AND another event, multiply the probabilities.

P(A and D) = 0.5 x 0.6 = 0.3

The rate in copies per minute the copy machine print is 10 copies per minutes.

Rate is the ratio between two related quantities in different units.

In other word rate is a quotient of two measurements with different units.

In our case we were asked to find the rate at which the machine prints per minutes.

The two related quantities are amount printed and the time in minutes.

Since, the copy machine prints 10 copies in one minutes, the rate at which the copy machine print per minute is 10 copies per minutes.

learn more on rate here: https://brainly.com/question/14199541

Answer:

See below ↓↓↓↓↓↓

Step-by-step explanation:

5.

6.

7.

8.

9.

10.

A) 144 in

is your answer. good luck

Answer: 6.25%

Step-by-step explanation:

Percent Decrease = ( ( Starting Value - Final Value ) / Starting Value ) * 100

So 672,000-630000 = 42,000

42,000 / 672,00 = 0.0625

Finally multiply by 100 soooooo 0.0625 * 100 = 6.25%

Answer:

The aswer is 88

Step-by-step explanation:

Hope this helps

Answer:

The Answer is 108 units.

It's number 2.

Answer:

60 people per square mile

Step-by-step explanation:

Given :

Population Density

Population density:-

Answer:

5.5 maybe i guess its fun

The regression lines 3x+2y=26 and 6x+y=31 are linear regressions

We have the equations to be:

3x+2y=26 and 6x+y=31

Make y the subject in the second equation

y = 31 - 6x

Substitute y = 31 - 6x in the first equation

3x+2[31 - 6x] = 26

Expand

3x+ 62 - 12x = 26

Collect like terms

3x - 12x = 26 - 62

Evaluate

-9x = -36

Divide by - 9

x = 4

Substitute x = 4 in y = 31 - 6x

y = 31 - 6 * 4

y = 7

This means that the mean values are 4 and 7

To determine the correlation coefficient, we make y the subject in 3x+2y=26 and x the subject in 6x+y=31.

So, we have:

y = 13 - 3x/2 and x = 31/6 - 1/6y

The above means that:

Bxy = -1/6 and Byx = -3/2

The correlation coefficient is then calculated as:

r^2 = Bxy * Byx

r = -1/6 * -3/2

r = 0.25

Hence, the correlation coefficient between x and y is 0.25

We have:

Var(y) = 4

In (a), we have:

y = 13 - 3x/2

To solve further, we make use of:

Var(y) = Var(ax + b) = a^2Var(x)

This gives

Var(y) = Var(13 - 3x/2) = 13^2 * Var(x)

So, we have:

Var(y) = 13^2 * Var(x)

Substitute 4 for Var(y)

4 = 13^2 * Var(x)

Divide both sides by 13^2

4/13^2 = Var(x)

Express 4 as 2^2

(2/13)^2 = Var(x)

So, we have:

Var(x) = (2/13)^2

Take the square root of both sides

SD(x) = 2/13

Hence, the standard deviation of x is 2/13

Read more about regression lines at:

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Answer:

6795.70

Step-by-step explanation:

smart people

After paying 10% penalty on the early withdrawal, Jasmine's penalty for the early withdrawal was calculated to be $5,352.24.

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

here, we have,

We can use the formula for compound interest in ordr to solve this problem.

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

Where:

A = the final amount

P = the principal (starting amount)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

In this case, we have the following values,

P = $50,000

r = 1.75% = 0.0175 (since it is compounded semi-annually, n = 2)

t = 25 years

So the final amount after 25 years can be calculated as under

A = 50000(1 + 0.0175/2)^(2×25) = $107,044.84

Jasmine has withdrawn  50% of this amount, which is:

$107,044.84 × 0.5 = $53,522.42

She had to pay a 10% penalty on the early withdrawal, so her penalty would be:

$53,522.42 × 0.1 = $5,352.24

Therefore, the penalty of Jasmine penalty for the early withdrawal was $5,352.24.

Learn more about compound interest :

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#SPJ2

[tex]\dfrac{6x-24}{16-x^2}\\\\=\dfrac{6(x-4)}{4^2 -x^2}\\\\=\dfrac{6(x-4)}{(4+x)(4-x)}\\\\=-\dfrac{6(x-4)}{(x+4)(x-4)}\\\\=-\dfrac{6}{x+4}[/tex]

[tex]\textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{current amount}\dotfill &75\\ P=\textit{initial amount}\dotfill &2400\\ t=seconds\\ h=\textit{half-life}\dotfill &13.8 \end{cases} \\\\\\ 75=2400\left( \frac{1}{2} \right)^{\frac{t}{13.8}}\implies \cfrac{75}{2400}=\left( \frac{1}{2} \right)^{\frac{t}{13.8}}\implies \cfrac{1}{32}=\left( \frac{1}{2} \right)^{\frac{1}{13.8} t}[/tex]

[tex]\log\left( \cfrac{1}{32} \right)=\log\left[ \left( \frac{1}{2} \right)^{\frac{1}{13.8} t} \right]\implies \log\left( \cfrac{1}{32} \right)=t\log\left[ \left( \frac{1}{2} \right)^{\frac{1}{13.8}} \right] \\\\\\ \cfrac{\log\left( \frac{1}{32} \right)}{\log\left[ \left( \frac{1}{2} \right)^{\frac{1}{13.8}} \right]}=t\implies \cfrac{\log\left( \frac{1}{32} \right)}{\log\left[ \sqrt[13.8]{\frac{1}{2}} \ \right]}=t\implies 69\approx t[/tex]

Answer:

Parabola opens upwards, so it's a vertical parabola. Vertex at origin (0,0) and focus at (0,2). Standard equation of this parabola is

| (X — h)^2 = 4p(Y — k) |

Focus is at (0,2), so distance between vertex and focus, which is p is 2 units. So 4p = 8 units.

So the equation of this parabola is,

(X — 0)^2 = 8(Y — 0)

X^2 = 8Y or Y = X^2/8

Step-by-step explanation:

Using the t-distribution, the 80% confidence interval for the mean number of jelly beans is (41.22, 44.78).

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

The critical value, using a t-distribution calculator, for a two-tailed 80% confidence interval, with 20 - 1 = 19 df, is t = 1.3277.

The other parameters are given as follows.

[tex]\overline{x} = 43, s = 6, n = 20[/tex].

Hence, the bounds of the interval are given by:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 43 - 1.3277\frac{6}{\sqrt{20}} = 41.22[/tex]

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 43 + 1.3277\frac{6}{\sqrt{20}} = 44.78[/tex]

The 80% confidence interval for the mean number of jelly beans is (41.22, 44.78).

More can be learned about the t-distribution at https://brainly.com/question/16162795

Answer: CIRCLE C

Step-by-step explanation:

Answer:

7 steps.

Step-by-step explanation:

Since the monkey is sitting on the first step already you can subtract 9 by 1 to find the amount of steps left.

9-1 = 8 steps left

The monkey jumps 3 steps down

8-3= 5 steps

Then jumps 2 steps up

5 + 2 = 7 steps

The monkey has 7 more steps until he reaches the water level.

bro what.... finish the question...

Answer:

I think line C and L since Jenna's numbers are the same

-8 to 0 = 8

0 to 2 = 2

total change = 8 + 2 = 10 degrees

Answer:

x = 110

Step-by-step explanation:

find the number : x

that must be added : +

to :

40/100 * 225 + x = 200

2/5 * 225 + x = 200

90 + x = 200

x = 200 - 90

x = 110

Answer:

1.TRUE

2.TRUE

3.TRUE

4.TRUE

5.TRUE

Step-by-step explanation:

THATS MY ANSWER ON MY MODULES

hope it helps as

Answer:

Answer below

Step-by-step explanation:

Slope=0.400/2.000 or 0.2

X-Intercept=15/1 or 15

Y-intercept=15/-5 or 3/-1 or -3

Answer:

A = 120 C = 45

Step-by-step explanation:

180 - 15 = 165
(12x + 12) + (3x + 18) = 165
15x + 30 = 165
15x = 135
135 ÷ 15 = 9
x = 9

A = (12x + 12) = 108 + 12 = 120
C = (3x + 18) = 27 + 18 = 45

cos θ = Adjacent/ hypotenuse

cosθ= 5/13

a²+b²= c²

a² + 5² = 13²

a² = 13² - 5²

a² = 144

a=√144

a= 12

a is the opposite = 12

b is the Adjacent = 5

c is the hypotenuse = 13

a) tan θ= opposite/Adjacent

tan θ = 12/5

b) sin θ= opposite/ hypotenuse

sinθ= 12/13

C) sec θ= hypotenuse / Adjacent

sec θ= 13/5

d) cscθ= hypotenuse /opposite

cscθ= 13/12

e) cotθ=Adjacent/ opposite

cotθ= 5/12