Perform the indicated operation and write the answer in the form a + bi.
(9+ i)(-6+5i)

Answer:

Step-by-step explanation:

You need to upload a picture and i can answer underneath.  

Usually if measured in feet then we have a scale = 1cm -1ft maybe.

so if you measure 3cm x 4cm then we have 12cm area = 12ft area if.  Or if you have 2cm x 5cm = 10cm area = 10ft area   if you have 4cm x 5cm = 20cm = 20ft area

etc. etc.  Just make sure you say cm then ft in scale conversion.

Answer:

We reject the null hypothesis and accept the alternate hypothesis, that is, that the mean is less than 13 ounces.

Step-by-step explanation:

The null hypothesis is:

[tex]H_{0}: \mu = 13[/tex]

The alternate hypotesis is:

[tex]H_{a}: \mu < 13[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

13 is tested at the null hypothesis:

This means that [tex]\mu = 13[/tex]

N(µ,0.42)

This means that the standard deviation is 0.42, that is, [tex]\sigma = 0.42[/tex]

You collect a random sample of n = 35 boxes and find that the sample mean is 12.8.

This means that [tex]n = 35, X = 12.8[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{12.8 - 13}{\frac{0.42}{\sqrt{35}}}[/tex]

[tex]z = -2.82[/tex]

Pvalue of the test:

The pvalue of the test is the pvalue of z = -2.82.

Looking at the z table, z = -2.82 has a pvalue of 0.0024

0.0024 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis, that is, that the mean is less than 13 ounces.

Answer:

it will look the same, just shifted.

Step-by-step explanation:

The parabola will be the same shape, size, etc., it will simply be in a different location. Instead of the bottom of the parabola being at (0,0), it will be at (3, -8). translated right 3, down 8.

Answer:

c=2pie r

2*3.14*0.5

=3.14

option d

Answer:

The number of required shelves is 5

You have to find the HCF of 45, 105, and 75.

9514 1404 393

Answer:

  2800 tiles

Step-by-step explanation:

Each tile has an area of (0.05 m)² = 0.0025 m². Then the number of tiles required to cover 7 square meters is ...

  (7 m²)/(0.0025 m²/tile) = 2800 tiles

It will take 2800 tiles to cover the entryway.

Answer:

1 in 144

Step-by-step explanation:

There is one 8 on a 12-sided die, so the probability of rolling an 8 once is [tex]\frac{1}{12}[/tex].

We are rolling twice, so [tex](\frac{1}{12})^{2} =\frac{1}{144}[/tex].

Answer:

0.79

Step-by-step explanation:

Answer: I think its A?

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

100/20 (the number of questions) = 5 (how much each question is worth)

16(the number of questions she got correct) times 5 is 80

She got 80 percent correct

That means that she missed 20 percent

Answer:

R

Step-by-step explanation:

Answer:

The first choice

Step-by-step explanation:

Answer:

1 - 1/2

2 - 1

3 - 0

Step-by-step explanation:

Answer: 2a/3 + b/3

Since it has two different variables, there is no final answer. To find the answer, you must first expand the equation and then apply the fraction rule.

Answer:

81

Step-by-step explanation:

√x > 9

Squaring both sides, you will get

x > 81

Answer:

A

Step-by-step explanation:

Because she is 3 years older then her brother you would be adding 3 to the age to get cari's age

Answer:

21.13 US gallons

Step-by-step explanation:

. _ .

Answer:

21.1338 rounded to the nearest tenth is 21.10

Step-by-step explanation:

Answer:

C) 972π

Step-by-step explanation:

Volume of a sphere formula:

V = 4/3πr³

Given:

r = 9

Work:

V = 4/3πr³

V = 4/3π9³

V = 4/3(729)π

V = 972π

Answer:

10 units squared

Step-by-step explanation:

[tex]4(5)=20[/tex]

[tex]\frac{20}{2}=10[/tex]

Without replacement is very important

Answer:

absolute error: 7 pounds

percent error:4.9%

Step-by-step explanation:

Absolute error:

150-143=7 pounds

Percent error:

=l[tex]\frac{150-143}{143}[/tex] l x 100

=l[tex]\frac{7}{143}[/tex]l x 100

=0.04895x100

=4.895...

=4.9%

Answer:

x = 0

y = 1

z = -4

Step-by-step explanation:

6x + 4y + 1z = 0 => z = -6x -4y

If 12x - 4y - 5z = 16, then

12x - 4y - 5(-6x - 4y) = 16

12x - 4y + 30x + 20y = 16

42x + 16y = 16 => 21x + 8y = 8

then y = (8 - 21x)/8

if -24x - 4y + 5z = -24

-24x - 4y + 5(-6x -4y) = -24

-24x - 4y - 30x - 20y = -24

-54x - 24y = -24 => -9x - 4y = -4

substitute y = (8 - 21x)/8

then -9x - 4(8 -21x)/8 = -4

-9x - 1/2(8 -21x) = -4

times 2 in both side

-18x - (8 - 21x) = -8

-18x - 8 + 21x = -8

3x = -8 + 8

3x = 0

x = 0

then y = (8 - 21x)/8 = (8 - 21(0))/8 = (8 - 0)/8 = 8/8 = 1

then z = -6x -4y = -6(0) - 4(1) = 0 - 4 = -4

Hope this helps

Answer: The length is 12 feet.

Step-by-step explanation:

Answer: 11

Step-by-step explanation:

Since the equation of circumference is 2(r)pi

if 22pi=2(r)pi

then 22=2r

22=2r

r=11

Answer:

2.8 > 2.8< i think

Step-by-step explanation:

Answer:68

Step-by-step explanation:

Answer:

Owen has $71 and Ethan has $104

Step-by-step explanation:

Create a system of equations where o is how much money Owen has, and e is how much Ethan has

x + e = 175

e = x + 33

Solve by substitution by plugging in o + 33 in as e, in the first equation

o + e = 175

o + (o + 33) = 175

2o + 33 = 175

2o = 142

o = 71

So, Owen has $71 dollars

To find how much Ethan has, add 33 to this, since he has $33 more than Owen

71 + 33

= 104

So, Owen has $71 and Ethan has $104

A: I think it’s 9(−5+9n+10n2)

Step-by-step explanation: