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3 years ago

14

Factorise fully 150-24d^2

1 answer:

solong [7]3 years ago

7 0

Answer: 6(5 + 2d)(5 - 2d)

Explanation:

$150-24d^2 = 6(25 - 4d^2) = 6(5 + 2d)(5 - 2d)$

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After 56 cans of soup were sold, a clerk moved the remaining cans to a display

wlad13 [49]

Answer:

(x - 56) / 9

Step-by-step

We represent the original number of cans of soup by the variable x. After 56 cans of soup were sold, the remaining number of cans of soup is x - 56. Since we have shelves that can hold 9 cans, the number of shelves needed to fit all the remaining cans is

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3 years ago

For any positive number b not equal to 1 and any number or variable n, evaluate the following expression.

kirza4 [7]

Answer:

$log_{b} b^{n}$ = n.

Step-by-step explanation:

Given : $log_{b} b^{n}$ , b is any positive number not equal to 1 and n is any number.

To find : Evaluate the expression $log_{b} b^{n}$ .

Formula used : $log_{b} x^{y}$ . = y ∙ $log_{b}$ (x) and

$log_{b}(b) = 1.Solution : We have [tex]log_{b} b^{n}$ .

By logarithm rule : $log_{b} x^{y}$ . = y ∙ $log_{b}$ (x).

Then $log_{b} b^{n}$ = n∙ $log_{b}$ (b).

By logarithm rule : $log_{b}(b) = 1.Now, n∙ [tex]log_{b}$ (b) = n.

Therefore, $log_{b} b^{n}$ = n.

5 0

2 years ago

Read 2 more answers

If the circumference of a circle is 21 inches, what is the diameter? Use 3.14 for and round your answer to the nearest hundredth

Ket [755]

You would divide 21 by 3.14

Which would give you 6.687 now round up to the nearest hundredth

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3 years ago

How would you solve the equation 4x = 100?

LenKa [72]

Answer:

25

Step-by-step explanation:

4x = 100

x = 100/4

x = 25

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3 years ago

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A manufacturing process is designed to produce bolts with a 0.25-in. diameter. Once each day, a random sample of 36 bolts is sel

Troyanec [42]

Answer:

0.6170

Step-by-step explanation:

Given that a manufacturing process is designed to produce bolts with a 0.25-in. diameter.

i.e. no of bolts which are produced as per standard is X means then

X is normal with mean = 0.250 and std dev = 0.04

No of bolts tested = 36

If this mean falls outside the interval (0.230,0.270) the production would be shut down.

i.e. P(|x-25|>0.20) =production shut down probability

$P(|x-25|>0.20)\\=P(|Z|>0.5)\\=2(0.5-0.1915)\\= 0.6170$

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3 years ago