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2 years ago

Simplify expression –5.6 + 8.2

Mathematics

2 answers:

Alex777 [14]2 years ago

6 0

The answer is 2.6
Hope this helps!!

Vedmedyk [2.9K]2 years ago

3 0

2.6 because you substract

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The sum of three consecutive even numbers is 24 , find the numbers.

Sergeeva-Olga [200]

Answer:

three consecutive even integers whose sum is 24 are 6, 8 and 10.

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2 years ago

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To finance her community college education, Sarah takes out a loan for $3400. After a year Sarah decides to pay off the interest

sdas [7]

She has to pay $170 i think

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3 years ago

Elisa says, "If you subtract 14 from my number and multiply the difference by -3 , the result is -33 ." What is Elise's num

Svetach [21]

Answer:

Step-by-step explanation:

(x-14)*-3 = -33

-3x+42 = -33

-3x = -33-42

-3x = -75

x=25

6 0

2 years ago

30 points!!<br> What is the sum of the first six terms of the series?<br> 48 - 12 + 3 - 0.75 +...

Lunna [17]

Answer:

The sum of the first six terms is 38.39

Step-by-step explanation:

This is a geometric sequence since the common difference between each term is $-\frac{1}{4}$

Thus, $r=-\frac{1}{4}$

To find the sum of first six terms, we need to find the fifth and sixth term of the sequence.

To find the fifth term:

The general form of geometric sequence is $a_{n}=a_{1} \cdot r^{n-1}$

To find the fifth term, substitute $n=5$ in $a_{n}=a_{1} \cdot r^{n-1}$

$\begin{aligned}a_{5} &=(48) \cdot\left(-\frac{1}{4}\right)^{5-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{4} \\&=(48)\left(\frac{1}{256}\right) \\a_{5} &=0.1875\end{aligned}$

To find the sixth term, substitute $n=6$ in $a_{n}=a_{1} \cdot r^{n-1}$

$\begin{aligned}a_{6} &=(48) \cdot\left(-\frac{1}{4}\right)^{6-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{5} \\&=(48)\left(-\frac{1}{1024}\right) \\a_{5} &=-0.046875\end{aligned}$

To find the sum of the first six terms:

The general formula to find Sn for $|r|$ is $S_{n}=\frac{a\left(1-r^{n}\right)}{1-r}$

$\begin{aligned}S_{6} &=\frac{48\left(1-\left(-\frac{1}{4}\right)^{6}\right)}{1-\left(-\frac{1}{4}\right)} \\&=\frac{48\left(1-\frac{1}{4096}\right)}{1+\frac{1}{4096}} \\&=\frac{48(0.95)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{47.9904}{5} \\&=38.39\end{aligned}$

Thus, the sum of first six terms is 38.39

5 0

2 years ago

A quadratic function f(x)=ax2 passes through (0,0) and (5,5). write an equation for this function

krek1111 [17]

Answer:

y = (1/5)x² or y = x²/5

Step-by-step explanation:

We have the function f(x) = ax² and are given that the point (5,5) is on the parabola. We need to find 'a'. f(x) can be replaced with 'y', so we can rewrite the equation as...

y = ax²

We know that when x = 5, y = 5, so we have

5 = a(5²) now simplify...

5 = 25a

5/25 = a

1/5 = a, so our equation becomes

(1/5)x² or x²/5 (the expressions are equal)

8 0

3 years ago