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Sphinxa [80]
4 years ago
13

Find the area of the rectangle , i put a pic .

Mathematics
1 answer:
Gre4nikov [31]4 years ago
8 0

Step-by-step explanation: Notice that the figure shown here is a rectangle so we can find its area by using the formula <em>length x width</em>.

Since the length is 3/7 in and the width is 2/8 in, we can plug this information into the formula to get (3/7)(2/8).

Now multiplying across the numerators and multiplying across the denominators we get 6/56 which can be reduced to 3/28 in².

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What is the sum of the series 3,---5,-13..........-229
Tpy6a [65]

ANSWER

S_{30}= - 3390

EXPLANATION

The given sequence is

3,-5,-13,.....-229.

The first term of this sequence is

a_1=3

There is a common difference of

d =  - 5 - 3 =  - 8

The last term of this sequence is -229.

The nth term of this sequence is given by:

a_n=a_1+d(n-1)

We use the last term to determine the number of terms in the sequence.

- 229 = 3 +  - 8(n - 1)

- 229  - 3=  - 8(n - 1)

- 232=  - 8(n - 1)

Divide through by -8;

29= (n - 1)

n = 30

Hence there are thirty terms in the sequence.

The sum of the first n terms is given by:

S_n= \frac{n}{2} ( a_{1} + l)

The sum of the first 30 terms is given by:

S_{30}= \frac{30}{2} ( 3 +  - 229)

S_{30}=15(  - 226)

S_{30}= - 3390

4 0
3 years ago
Help!!!!!!!!!!!!!!!!!!!!!!
aivan3 [116]

Answer:

4

Step-by-step explanation:

Rate of change = Slope (if Sidelength = x, and perimeter= y)

(1,4) and (2,8) are point (if it was a line)

Use the slope formula...

(8-4)/(2-1)=

4/1=

4

8 0
3 years ago
Read 2 more answers
Tell whether the equation −2x + 4y = 5 represents a direct variation. If so, identify the constant of variation.
PtichkaEL [24]
The equation of a direct variation is of the form
y = mx
But the given function can be rewritten as

y =   \frac{1}{2} x +  \frac{5}{4}
This is a partial variation,
\frac{1}{2}
is the constant of variation and

\frac{5}{4}
is the fixed constant.
5 0
3 years ago
Read 2 more answers
Penicillin is ordered for a child weighing 35 pounds. The average dose for an adult is 360 mg. The child will receive ________ m
Gennadij [26K]
<span>Penicillin is ordered for a child weighing 35 pounds. The average dose for an adult is 360 mg. The child will receive 210 mg. This is an approximation and the doctor has a final say on the dosage. The dosage is fixed based on the body weight and it varies from 3 to 6 mg per pound of body weight. I hope it helps you.</span>
3 0
3 years ago
If the discriminant of a quadratic equation is equal to -8, which statement describes the roots?
tia_tia [17]

Answer:

There are two complex roots.

Step-by-step explanation:

When the discriminant is a negative number, the parabola will not intersect the x-axis. This means that there are no solutions/two complex solutions.

4 0
3 years ago
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