What is the quotient of 1.155 x 10^5 and 1.65 x 102 expressed in scientific
notation?

Answer:

Hello!

After reviewing the question you have provided, I came up with the correct answer:

C) 2

Step-by-step explanation:

Firstly:

As the question states, you need to round each number to the nearest whole number and then choose the closest estimate to what the nearest solution could be.

When you round the two numbers you should come up with "3-1= ____".

This is because you round up with a number has .5 or higher, and you round down when any number has .4 or lower.

So 3.2 rounds to 3

And 1.4 rounds to 1.

With the new equation you can then solve "3-1= 2"!

Hope this helps!

Answer:

d - $36

Step-by-step explanation:

I=Prt

(interest=principle*rate*time in years)

I=1200*.03*1

I=1200*.03

I=36

Answer:

B and D

Step-by-step explanation:

opposite rays 180° to each other

here B and D are opposite rays

Answer:

B and D

Step-by-step explanation:

Each opposite ray need 180 degree.

The corresponding answers for each student plan are:

plan A: 15 years

plan B: 5 years

plan C: 10 years

plan D: 9 years

Thus, first, the graph corresponding to each of the plans must be analyzed. The Y-axis corresponds to money and the x-axis corresponds to the time in years.

Thus, in-plane A, it can be observed that to reach the desired value, the graph will be projected in exponential, so it will be close to 15 years. In plan B, this projection will be reached around 5 years. In plans C and D, this projection will be 10 years and 9 years respectively.

Learn more: brainly.com/question/14355665

Answer:

0

Step-by-step explanation:

Absolute values can't have negatives as answer. Useful tip, If there is a negative as an answer for absolute value, there is no solution, if it has 0 as an answer, there is 1 solution, and if it has a positive as answer, then it will have 2 solutions.

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

Answer:

(−2, 3), (−5, 3) lie on a horizontal line.  The y value is 3 for both values of x.  The line runs parallel to the x axis and 2 steps above.

Step-by-step explanation:

Answer:

-60m/s²

Step-by-step explanation:

The first thing to do is know the equation:

(Final velocity - initial (original) velocity) / time (seconds)

Next you check the units:

10 minutes = 600 seconds

Then you use the equation to solve the problem:

(4000 - 40000) = -36000

-36000 / 600 = -60

Units for acceleration = m/s²

Answer = -60m/s²

The value is negative because the satellite's velocity has decreased

Hope this helps.

Answer:

y = 2x-1

Step-by-step explanation:

I'm guessing gradient of 2 means slope of 2

if line passes through (2,3) and has a slope of 2, we can use the slope intercept equation

slope-intercept (y=mx+b)

m is the slope and b is the y-intercept (which we are trying to find)

so far, we have a point and a slope so we can fill in x,y, and m

(3) = (2)(2) + b

3 = 4 + b

3-4 = 4-4 + b (to undo addition, you use subtraction so I minus 4 from each side)

-1 = b

we found b so we just take the (2,3) out of the equation substitute the x,y back into the equation

y = 2x - 1

141 degrees hope this helps u

The measure of the angle will be 141°. Then the correct option is B.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

A protractor is used on an angle one ray of the angle is 46 degrees and the other way is 95 degrees.

The diagram is shown below.

Then the measure of the angle will be given as,

⇒ 46° + 95°

⇒ 141°

The measure of the angle will be 141°.

Then the correct option is B.

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ5

Answer:

a₅ = 160

Step-by-step explanation:

Using the recursive rule and a₁ = 10 , then

a₂ = 2a₁ = 2 × 10 = 20

a₃ = 2a₂ = 2 × 20 = 40

a₄ = 2a₃ = 2 × 40 = 80

a₅ = 2a₄ = 2 × 80 = 160

The proof that shows that AB∥CD in the diagram given is:

1. E is the midpoint of AD --> Given

2. [tex]\overline{AE} \cong \overline{ED}[/tex] ---> Definition of midpoint

3. E is the midpoint of BC --> Given

4. [tex]\overline{BE} \cong \overline{EC}[/tex] ---> Definition of midpoint

5. ∠AEB ≅ ∠CED --> Vertical Angles Theorem

6. ΔABE ≅ ΔDCE ---> SAS Congruence Theorem

7. AB∥CD ---> CPCTC Theorem.

The given figure showing ΔABE ≅ ΔDCE is in the image attached below.

We know that:

E is the midpoint of AD. Therefore, AE ≅ ED by the definition of midpoint.

E is the midpoint of BC. Therefore, BE ≅ EC by the definition of midpoint.

∠AEB and ∠CED are vertical angles, therefore, ∠AEB ≅ ∠CED by the vertical angles theorem.

This means that ΔAEB and ΔDEC have:

two pairs of congruent sides - AE ≅ ED and BE ≅ EC

one pair of congruent included side -  ∠AEB ≅ ∠CED

Hence, ΔABE ≅ ΔDCE by the SAS Congruence Theorem.

If both triangles are congruent, it implies that all corresponding sides and angles of ΔAEB will be congruent to that of ΔDEC.

Therefore, AB∥CD by the CPCTC Theorem.

Thus, the proof that shows that AB∥CD in the diagram given is:

1. E is the midpoint of AD --> Given

2. [tex]\overline{AE} \cong \overline{ED}[/tex] ---> Definition of midpoint

3. E is the midpoint of BC --> Given

4. [tex]\overline{BE} \cong \overline{EC}[/tex] ---> Definition of midpoint

5. ∠AEB ≅ ∠CED --> Vertical Angles Theorem

6. ΔABE ≅ ΔDCE ---> SAS Congruence Theorem

7. AB∥CD ---> CPCTC Theorem.

Learn more about the CPCTC Theorem on:

https://brainly.com/question/14706064

Answer:

h(x) = - 2x² + 3

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here the shift is 7 units up , then

h(x) = f(x) + 7 = - 2x² - 4 + 7 = - 2x² + 3

Answer:

Step-by-step explanation:

Volume of prism:

Substitute dimensions:

Answer:

1

Step-by-step explanation:

d5 7yvjn3f5crc6tv6tvt7gv7g

Answer:

x = 6

Step-by-step explanation:

6x - 3y = -21 => 6x = 3y - 21

4x = 3y - 9 => 4x = 3y - 9

-2x =  -12

-2x/-2 = -12/-2

x = 6

Hope this works

Using the t-distribution, it is found that since the test statistic is greater than the critical value, the sample information supports the suspicion that the average strength of corrugated fiberboards from Firm 1 is three pounds per square inch higher than that from Firm 2.

At the null hypothesis, we test if the average strength of corrugated fiberboards from Firm 1 is not three pounds per square inch higher than that from Firm 2, that is, we test if the subtraction of the means is at most 3, hence:

[tex]H_0: \mu_1 - \mu_2 \leq 3[/tex]

At the alternative hypothesis, we test if the difference is more than 3, that is:

[tex]H_1: \mu_1 - \mu_2 > 3[/tex]

The mean and the standard deviation for both tests are:

[tex]\mu_1 = 366, s_1 = 11.67[/tex]

[tex]\mu_2 = 357.4, s_2 = 4.27[/tex]

The standard errors are:

[tex]s_1 = \frac{11.67}{\sqrt{9}} = 2.9175[/tex]

[tex]s_2 = \frac{4.27}{\sqrt{10}} = 1.35[/tex]

The distribution of the difference has mean and standard deviation given by:

[tex]\overline{x} = \mu_1 - \mu_2 = 366 - 357.4 = 8.6[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{2.9175^2 + 1.35^2} = 3.2147[/tex]

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

In which [tex]\mu = 3[/tex] is the value tested at the null hypothesis.

It's value is:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

[tex]t = \frac{8.6 - 3}{3.2147}[/tex]

[tex]t = 1.742[/tex]

The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with 9 + 10 - 2 = 17 df and a significance level of 0.05 is [tex]t^{\ast} = 1.7396[/tex]

Since the test statistic is greater than the critical value, the sample information supports the suspicion that the average strength of corrugated fiberboards from Firm 1 is three pounds per square inch higher than that from Firm 2.

A similar problem is given at https://brainly.com/question/25562298

Answer:

a.

Step-by-step explanation:

its the right way

Answer:

  10. (-1, 7), (-7, 1)

  11.  (8, 4), (16, 2)

Step-by-step explanation:

Let x and y represent the two missing factors. Then you have ...

  -3xy = 21

  xy = -7 . . . . . . . divide by -3

Integer divisors of -7 are ±1, ±7, so possible factor pairs are (-1, 7), (-7, 1) and their reverse.

Of course, the only requirement is that the values be rational, so we could have (-1/4, 28), for example. One of the above factors can be multiplied by any rational number, and the other multiplied by its inverse.

__

If the two factors of interest are x and y, then the product of the three factors is ...

  (-3/4)xy = -24

  xy = (-4/3)(-24) = 32

Integer divisors of 32 are 1, 2, 4, 8, 16, 32. So, any of those, positive or negative, could be one of the (integer) factors you're looking for. On the attached graph, we have shown (x, y) pairs ...

  (8, 4), (16, 2), (-4, -8)

There are an infinite number of possibilities.

Answer:

$27.45 for 3 pizzas

In my opinion

Answer:

$32.48 for 7 pizzas

Step-by-step explanation:

25 divided by 5 = $5

32.48 divided by 7 = $4.64

27.45 divided by 3 = $9.15

28.74 divided by 4 = $7.185

Answer:

2(n-8) = 5

Step-by-step explanation:

I'm assuming that its supposed to say "a number and 8"

Answer:

x=10.5

Step-by-step explanation:

x will be a number

2(x-8)=5 --> I'm assuming your question is " twice the difference of a number and 8 equals 5.

Solving

2(x-8)=5

2x-16=5 --> distrubute the 2--> 2*x = 2x and 2*-8 = 16

2x=16+5--> add 16 to other side of x

2x=21--> add like terms

2x / 2 =21 / 2--> single out x

x=10.5 --> 21/2 --> just divide

Answer: 6+3 = 9

Step-by-step explanation:

-3-6 is equivalent to 6-(-3). Subtracting a negative number is the same as adding a positive number, so 6-(-3) is the same as 6+3. 6+3 = 9.

Answer:

1) The profit made is $560.

2) Don't know sorry!!

3) A student will pay $1134 for a calculator.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

conversion from gram to kilogram

u divide the gram by 1000

which is 722/ 1000

=0.722kilograms

i.e answer is A

Answer:

I may not know his balance but I think he's not making a good financial decision because he already has - $60 in his account and he's spending more making him more liable to burn money and it's not advisable

Answer:

[tex]y=\frac{4}{5}x-\frac{18}{5}[/tex]

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through the point (-3, -6) and (2, -2)

There are 3 ways to write the equation of the line:

The easiest way would either be slope-intercept or point-slope form, but let's write the equation in slope-intercept form, since it's the most common way

So we'll need to find the slope

The formula for the slope calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We have everything needed to find the slope, let's just label the values of the points to avoid any confusion:

[tex]x_1=-3\\y_1=-6\\x_2=2\\y_2=-2[/tex]

Now substitute these values into the formula. Remember that m is the value of the slope:

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{-2--6}{2--3}[/tex]

Simplify the fraction:

m=[tex]\frac{-2+6}{2+3}[/tex]

Add the numbers together:

m=[tex]\frac{4}{5}[/tex]

So the slope of the line is 4/5

Let's plug it into the formula y=mx+b, since we now know the value of m

y=[tex]\frac{4}{5}[/tex]x+b

Now let's find b

As the equation passes through both (-3, -6) and (2, -2), we can use either point to help solve for b

Either point works, but let's take (2, -2) for instance

Substitute 2 as x and -2 as y

-2=4/5(2)+b

Multiply

-2=8/5+b

subtract 8/5 from both sides

-18/5=b

Now substitute -18/5 as b into the equation:

[tex]y=\frac{4}{5}x-\frac{18}{5}[/tex]

Hope this helps!

Answer:

6,543

Step-by-step explanation:

This is my guess ONLY.