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4 years ago

Solve the inequality for x - 7 less than 5

Mathematics

1 answer:

arsen [322]4 years ago

4 0

The answer will be 2 because x-7 less than 5bwill equal 2

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Ask Your Teacher The circumference of a sphere was measured to be 90 cm with a possible error of 0.5 cm. (a) Use differentials t

SCORPION-xisa [38]

Answer:

a) 28,662 cm² max error

0,0111 relative error

b) 102,692 cm³ max error

0,004 relative error

Step-by-step explanation:

Length of cicumference is: 90 cm

L = 2*π*r

Applying differentiation on both sides f the equation

dL = 2*π* dr ⇒ dr = 0,5 / 2*π

dr = 1/4π

The equation for the volume of the sphere is

V(s) = 4/3*π*r³ and for the surface area is

S(s) = 4*π*r²

Differentiating

a) dS(s) = 4*2*π*r* dr ⇒ where 2*π*r = L = 90

Then

dS(s) = 4*90 (1/4*π)

dS(s) = 28.662 cm² ( Maximum error since dr = (1/4π) is maximum error

For relative error

DS´(s) = (90/π) / 4*π*r²

DS´(s) = 90 / 4*π*(L/2*π)² ⇒ DS(s) = 2 /180

DS´(s) = 0,0111 cm²

b) V(s) = 4/3*π*r³

Differentiating we get:

DV(s) = 4*π*r² dr

Maximum error

DV(s) = 4*π*r² ( 1/ 4*π*) ⇒ DV(s) = (90)² / 8*π²

DV(s) = 102,692 cm³ max error

Relative error

DV´(v) = (90)² / 8*π²/ 4/3*π*r³

DV´(v) = 1/240

DV´(v) = 0,004

3 0

3 years ago

Read 2 more answers

Need help asap!! First right answer will get brainliest

aleksklad [387]

answer:

B and C are correct.

explanation:

$\hookrightarrow \sf x^2-5x+5$ where ax² + bx + c

\\ Thus we can determine a = 1, b = -5, c = 5 \\

using quadratic equation:

$\rightarrow \sf x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ \ when \ \ ax^2 + bx + c = 0$

$\hookrightarrow \sf x_{1,\:2}=\dfrac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:1\cdot \:5}}{2\cdot \:1}$

$\hookrightarrow \sf x=\dfrac{5+\sqrt{5}}{2},\:x=\dfrac{5-\sqrt{5}}{2}$

4 0

3 years ago

Read 2 more answers

NEED MATH HELP QUICK!

Korolek [52]

Answer:

Minimum = 14

$Q_1=23$

Median = 32

$Q_3=49$

Maximum = 65

Step-by-step explanation:

Step 1: Put your numbers in ascending order (from smallest to largest). For this particular data set, the order is

14, 18, 28, 29, 32, 44, 48, 50, 65

Step 2: Find the minimum and maximum for your data set. Now that your numbers are in order, this should be easy to spot.

Minimum = 14

Maximum = 65

Step 3: Find the median. The median is the middle number. The middle number in your list is 32, so

Median = 32

Step 4: Place parentheses around the numbers above and below the median.

(14, 18, 28, 29), 32, (44, 48, 50, 65)

Step 5: Find Q1 and Q3. Q1 can be thought of as a median in the lower half of the data, and Q3 can be thought of as a median for the upper half of data.

First quartile

$\bf{Q_1=\dfrac{18+28}{2}=\dfrac{46}{2}=23}$

Third quartile

$\bf{Q_3=\dfrac{48+50}{2}=\dfrac{98}{2}=49}$

Step 6: Write down your summary found in the above steps.

Minimum = 14

$Q_1=23$

Median = 32

$Q_3=49$

Maximum = 65

5 0

4 years ago

Please help solve for the second section

MaRussiya [10]

It is the 3rd option from the bottom of the 2nd collum.The numbers switch places when the letter changes (from b to b') but they remain the same.

6 0

3 years ago

How do I solve -2x > 6

vodomira [7]

I’m not the best with words but first you would have to treat the greater sign as a = sign. So..
-2x =6
/ /
-2 -2
X = -3
and then you would change the sign to a less than sign because you divided by a negative.

7 0

4 years ago