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Nataly_w [17]
3 years ago
5

Please help me Find the those two numbers!

Mathematics
1 answer:
Stolb23 [73]3 years ago
6 0

Answer:

vsbhsgshahhwgwgwgaggsgsgsgsggdhehdhhdhdhshjxjxjxjxjjxjx

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The square shown has sides of length 7z^5 decimeters. Find its area
VikaD [51]

For this case we have that by definition, the area of a square is given by:

A = l ^ 2

Where:

l: It's the side of the square

We have, according to the statement data, that:

l = 7z ^ 5 \ dm

Then, the area is given by:

A = (7z ^ 5 \ dm) ^ 2

By definition of power properties we have to:

(a ^ n) ^ m = a ^ {n * m}

So:

A = (7z ^ 5 \ dm) ^ 2 = 49z^{5 * 2} \ dm ^ 2 = 49z^{10} \ dm ^ 2

Answer:

The area of the square is: 49z^{10} \ dm ^ 2

6 0
3 years ago
The position function of a particle in rectilinear motion is given by s(t) = 2t3 – 21t2 + 60t + 3 for t ≥ 0 with t measured in s
Norma-Jean [14]

The positions when the particle reverses direction are:

s(t_1)=55ft\\\\s(t_2)=28ft

The acceleraton of the paticle when reverses direction is:

a(t_1)=-18\frac{ft}{s^{2}}\\ \\a(t_2)=a(5s)=18\frac{ft}{s^{2}}

Why?

To solve the problem, we need to remember that if we derivate the position function, we will get the velocity function, and if we derivate the velocity function, we will get the acceleration function. So, we will need to derivate two times.

Also, when the particle reverses its direction, the velocity is equal to 0.

We are given the following function:

s(t)=2t^{3}-21t^{2}+60t+3

So,

- Derivating to get the velocity function, we have:

v(t)=\frac{ds}{dt}=(2t^{3}-21t^{2}+60t+3)\\\\v(t)=3*2t^{2}-2*21t+60*1+0\\\\v(t)=6t^{2}-42t+60

Now, making the function equal to 0, to find the times when the particle reversed its direction, we have:

v(t)=6t^{2}-42t+60\\\\0=6t^{2}-42t+60\\\\0=t^{2}-7t+10\\(t-5)*(t-2)=0\\\\t_{1}=5s\\t_{2}=2s

We know that the particle reversed its direction two times.

- Derivating the velocity function to find the acceleration function, we have:

a(t)=\frac{dv}{dt}=6t^{2}-42t+60\\\\a(t)=12t-42

Now, substituting the times to calculate the accelerations, we have:

a(t_1)=a(2s)=12*2-42=-18\frac{ft}{s^{2}}\\ \\a(t_2)=a(5s)=12*5-42=18\frac{ft}{s^{2}}

Now, substitutitng the times to calculate the positions, we have:

s(t_1)=2*(2)^{3}-21*(2)^{2}+60*2+3=16-84+120+3=55ft\\\\s(t_2)=2*(5)^{3}-21*(5)^{2}+60*5+3=250-525+300+3=28ft

Have a nice day!

3 0
3 years ago
Susan had 8/9 acres of land. She planted 2/5 of it with corn. How many acres did she plant with corn?
Sergio039 [100]
\bf \textit{how much is }\frac{2}{5}\textit{ of }\frac{8}{9}?\implies \cfrac{8}{9}\cdot \cfrac{2}{5}\implies \cfrac{16}{45}

that's how many acres she planted with corn.
6 0
3 years ago
1 point
Dovator [93]

Answer:

16,800

Step-by-step explanation:

350 * 49 = 16,800

3 0
3 years ago
Read 2 more answers
What is 1 × 10 − 3 written in standard form? math
ehidna [41]

Answer:

7

Step-by-step explanation:

When working with order of operations, use the acronym 'PEMDAS' (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

The equation should basically be done in that order.

There are no parenthesis,

no exponents,

But there IS multiplication.

1 x 10 = 10.

So now, what is left over is 10 - 3.

There addition, but there IS subtraction.

10 - 3 = 7.

7 is what is left over.

Therefore, 1 x 10 - 3 in standard form is 7.

8 0
2 years ago
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