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Anarel [89]
3 years ago
9

What is the answer to this question plss and thank you

Mathematics
1 answer:
cluponka [151]3 years ago
4 0

A defines the function

f(1) = - 8 ×( \frac{5}{2} )^{0} = - 8 × 1 = -8

f(2) = - 8 ×( \frac{5}{2}) ^{1} = - \frac{(8.5)}{2}= - 20

f(3) = - 8 ×( \frac{5}{2}) ^{2} = - 8 × \frac{25}{4} = - 50

f(4)= - 8 ×( \frac{5}{2}) ^{3} = - 8 × \frac{125}{8} = -125

f(5) = - 8 ×( \frac{5}{2}) ^{4} = - 8 × \frac{625}{16} = - \frac{625}{2}




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Factor 4x 2 + 12x + 5 . (2x + 5)(2x + 1)
Juliette [100K]
Factor
in form
ax²+bx+c form
use the ac method
1. mulitply a and c
2. factor the result such that the 2 factors add to b
3. split b into those 2 factors
4. group the terms
5. undistribute common factors
6. undistribute again





first multiply ac
4 times 5=20
now
what 2 numbers multiply to 20 and add to 12
2 and 10
4x²+2x+10x+5
group
(4x²+2x)+(10x+5)
undistribute
2x(2x+1)+5(2x+1)
undistribute the (2x+1)
(2x+1)(2x+5) is factored form whih you have there, nice
8 0
3 years ago
A) work out the radius of the mercury, giving your answer as an ordinary number
guapka [62]

Answer:

a. 2,440 km

b. 1.33*10^{27} kg

Step-by-step explanation:

a. Diameter of Mercury = 4.88*10^3

Radius of Mercury = ½ of its diameter = \frac{4.88*10^3}{2}

Radius of Mercury = 2.44*10^3

To convert the radius to ordinary number, multiply 2.44 by 1,000.

Radius of Mercury as an ordinary number = 2.44*1,000 = 2,440 km

b. Mass of Jupiter = 1.898*10^{27} kg

Mass of Saturn = 5.68*10^{26} kg

Difference between mass of Jupiter and mass of Saturn = 1.898*10^{27} - 5.68*10^{26} (subtract 5.68 from 1.898 = 5.68. we would retain the largest exponent, which is raised to the lower of 27.)

= 1.33*10^{27}

7 0
3 years ago
Simplify 7m - 11n - n + 5m.
goblinko [34]

Answer:

The simplified form of the given expression is 12(m -n).

Step-by-step explanation:

The given expression is

7m - 11n - n + 5m

We need to simplify the given expression.

Rearrange the terms according to the variables.

7m+5m - 11n - n

On combining like terms, we get

(7m+5m)+( - 11n - n)

On simplification, we get

(12m)+( -12n)

12m -12n

Taking GCF common.

12(m -n)

Therefore the simplified form of the given expression is 12(m -n).

5 0
3 years ago
Need help asap please
cupoosta [38]

Answer:

c = 5

Step-by-step explanation:

IT'S THE THREE FOUR FIVE TRIANGLE!!

3^2 + 4^2 = c^2

√25 = c

c = 5

4 0
3 years ago
Read 2 more answers
In triangle opq right angled at p op=7cm,oq-pq=1 determine the values of sinq and cosq
soldi70 [24.7K]

Answer:

see explanation

Step-by-step explanation:

let pq = x

given oq - pq = 1 then oq = 1 + x

Using Pythagoras' identity, then

(oq)² = 7² + x²

(1 + x)² = 49 + x² ( expand left side )

1 + 2x + x² = 49 + x² ( subtract 1 from both sides )

2x + x² = 48 + x² ( subtract x² from both sides )

2x = 48 ( divide both sides by 2 )

x = 24 ⇒ pq = 24

and oq = 1 + x = 1 + 24 = 25 ← hypotenuse

sinq = \frac{opposite}{hypotenuse} = \frac{7}{25}

cosq = \frac{adjacent}{hypotenuse} = \frac{24}{25}



6 0
3 years ago
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