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4 years ago

Mark for Review

Mathematics

1 answer:

ioda4 years ago

5 0

Answer:

12 seconds

Step-by-step explanation:

Given

$y = -2.5x + 30$

Required

Determine the time taken to reach the ground

For the paper to reach the ground, y = 0

So, we have:

$y = -2.5x + 30$

$0 = -2.5x + 30$

Collect Like Terms

$2.5x +0 = 30$

$2.5x = 30$

Divide through by 2.5

$2.5x/2.5 = 30/2.5$

$x = 30/2.5$

$x = 12$

<em>Hence:</em>

<em>Time taken is 12 seconds</em>

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Help pls asap!! No links.

algol [13]

Answer:

Step-by-step explanation:

1. Do what is inside the parantheses

$4^{2} +3+2\\16+3+2 = 21$

$7^{2} +3(21)$

2. Simplify both terms

$7^{2} =49\\3(21) = 63\\49+63$

3. Solve

$49+63 = 112$

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2 years ago

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Match the numbers! EASYYYYY

oee [108]

Answer:

a=0.17

b=2/9

c=1/4

Step-by-step explanation:

1/5 is equal to 0.2 and a is lower than 1/5. The only option that is lower than 1/5 is 0.17. We know that c is greater than b because it's shown on the number line. 2/9 is equal to 0.22 and 1/4 is equal to 0.25. So, 1/4 is greater than 2/9 and c is greater than b. So that would make c = 1/4, and by default 2/9 and b are the only ones left so b= 2/9.

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4 years ago

Which expression is equivalent to (f + g)(4)?

Akimi4 [234]

Answer:

(f + g)(4) is equivalent to f(4) + g(4)

So, Option A is correct

Step-by-step explanation:

We need to find which expression is equivalent to (f + g)(4)

(f + g)(4) = f(4) + g(4)

So, (f + g)(4) is equivalent to f(4) + g(4)

So, Option A is correct

4 0

3 years ago

The diameter of a circle is 26 cm. Find its area to the nearest whole number.

fomenos

Area= pi x r^2
= pi x 13^2
=pi x 169
= 530.929
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2 years ago

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If U = {x: X € N, 1 < × < 15)

Inessa05 [86]

Answer:

Step-by-step explanation:

Given:

U = {x: X € N, 1 < × < 15) = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}

A = {2,4,6,8,10,12,14}

B = {3,6,9,12,15}

C = {5,10,15}

(a) Verify A(BnB)=(AUB)(AUB)

A U (B n B)

= {2,4,6,8,10,12,14} U ( {3,6,9,12,15} n {3,6,9,12,15} )

= {2,4,6,8,10,12,14} U {3,6,9,12,15}

= {2,3,4,6,8,9,10,12,14,15}

( A U B) n (A U B)

= {2,3,4,6,8,9,10,12,14,15} n {2,3,4,6,8,9,10,12,14,15}

= {2,3,4,6,8,9,10,12,14,15}

Therefore

A U (B n B) = ( A U B) n (A U B)

verifies

(b) Verify An(BUC)=(AnB)u(AnC)

A n ( B U C)

= {2,4,6,8,10,12,14} n ( {3,6,9,12,15} U {5,10,15} )

= {2,4,6,8,10,12,14} n {3,5,6,9,10,12,15}

= {6,10,12}

( A n B ) U ( A n C )

= ( {2,4,6,8,10,12,14} n {3,6,9,12,15} ) U ( {2,4,6,8,10,12,14} n {5,10,15} )

= {6,12} U {10}

= {6,10,12}

Therefore

A n ( B U C) = ( A n B ) U ( A n C )

verifies

AU(BUC)

= {2,4,6,8,10,12,14}U{3,6,9,12,15}U{5,10,15}

= {2,3,4,5,6,8,9,10,12,14,15}

(AUB)U(AUC)

= ({2,4,6,8,10,12,14}{3,6,9,12,15})U({2,4,6,8,10,12,14}U{5,10,15})

= {2,3,4,6,8,9,10,12,14,15}U{2,4,5,6,8,10,12,14,15}

= {2,3,4,5,6,8,9,10,12,14,15}

Therefore

AU(BUC)=(AUB)U(AUC)

verifies

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3 years ago