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3 years ago

Describe the 4 cases to look out for when dealing with adding or subtracting integers

Mathematics

1 answer:

Norma-Jean [14]3 years ago

7 0

Answer:

Step 1: Take the absolute value of each number. Step 2: Subtract the number with a smaller absolute value from the number with bigger or larger absolute value. Step 3: Copy the sign of the number with the bigger or larger absolute value.

Step-by-step explanation:

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A cylinder has a radius of 2x + 3 and height of 3x + 2. Which polynomial in standard form best describes the total volume of the

Bogdan [553]

Answer:

$v = \pi {r}^{2} h \\ v = \pi {(2x + 3)}^{2} (3x + 2) \\ v = \pi(4 {x}^{2} + 12x + 9)(3x + 2) \\ v =( 12 {x}^{3} + 36 {x}^{2} + 27x + 8 {x}^{2} + 24x + 18)\pi \\ v =( 12 {x}^{3} + 44 {x}^{2} + 51x + 18)\pi$

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3 years ago

Farmers know that driving heavy equipment on wet soil compresses the soil and injures future crops. Here are data on the "penetr

Sonja [21]

Answer:

Step-by-step explanation:

Given that;

Compressed Soil 2.85 2.66 3 2.82 2.76 2.81 2.78 3.08 2.94 2.86 3.08 2.82 2.78 2.98 3.00 2.78 2.96 2.90 3.18 3.16

Intermediate Soil 3.17 3.37 3.1 3.40 3.38 3.14 3.18 3.26 2.96 3.02 3.54 3.36 3.18 3.12 3.86 2.92 3.46 3.44 3.62 4.26

Compressed soil intermediate soil

Mean 2.907 3.286

SD 0.1414 0.2377

Here we have,

$\bar x_1 =3.286\\ \bar x_2 =2.907\\s_1 =0.2377\\ s_2 =0.1414\\n_1=19\\n_2=20$

The pooled Standard deviation

$s_p=\sqrt{\frac{(n_1-1)s_1^2(n_2-1)s_2^2}{n_1+n_2-2} } \\\\=0.1943$

So standard error for difference in population mean is

$s_{\bar x_1 - \bar x_2} = \sqrt{\frac{s_p^2}{n_1}+\frac{s_p^2}{n_2} } \\\\=0.0623$

by inputting the values we get 0.0623

Degree of freedom for t is

df = 19 + 20 - 2 = 37,

so t-critical value is 2.715.

So required confidence interval for

$\mu_{1} - \mu_{2}$ will be

$( \bar x_1 - \bar x_2) \pm t_{critical}*s_{\bar x_1 - \bar x_2}$

$=0.3793 \pm2.715*0.063\\\\=0.3793\pm0.1690$

So required confidence interval is (0.2103 , 0.5483).

6 0

3 years ago

Which choice is more than 11 but less than 12?

kumpel [21]

Let
x--------> the number

we know that
11²=121
12²=144

then
x² must be greater than 121 and less than 144

case a) √115
if x=√115
then
x²=115-------> is not greater than 121

case b) √121
if x=√121
then
x²=121-------> is not greater than 121

case c) √136
if x=√136
then
x²=136-------> is greater than 121 and is less than 144------> is ok

case d) √150
if x=√150
then
x²=150------> is not less than 144

therefore

the answer is
√136

8 0

3 years ago

Read 2 more answers

The topic is about operations on functions: composition and transformation

telo118 [61]

Answer:

5, 1, 5, 1.

Step-by-step explanation:

take it one step at a time.

for the first one f(g(1))

first do whats inside of the parenthesis.

> g(1), go to g(x) graph, go to x= 1 and your y-value is your new value (3)

> your new equation is now f(3)

→ go to f(x) graph, go to x= 3, your y-value is 5. Your final answer is 5.

5 0

3 years ago

12. Write a function rule in slope-intercept form for the statement: the output is one less than half of the opposite of the inp

Vika [28.1K]

Answer: y = (1/2)*x - 1

Step-by-step explanation:

a linear relationship is something like:

y = a*x + b, lets find the values of a and b.

We have that the output (y) must be 1 less than half of the imput (x), then our relation is:

y = (1/2)*x - 1

5 0

3 years ago