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ArbitrLikvidat [17]
3 years ago
10

Simplify the following -(3z) exponent of 2

Mathematics
1 answer:
Maurinko [17]3 years ago
8 0

Answer:

- 9z^2

Step-by-step explanation:

Since the negative sign is outside of the parentheses it is not raised to the power of 2

- ( 3z) ^2

- ( 3z) * (3z)

- 9z^2

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Explain how to find the sum of 3/10 + 4/100
Neporo4naja [7]

Answer: 17/50

Step-by-step explanation:

First, to add fractions, we must find a common denominator, in this case, 100.

Then, we must make the fractions being added all have the common denominator.

So, we must multiply 3/10 * 10/10, which equals 30/100

30/100 + 4/100

Then, just add across the numerator to get 34/100, which can be simplified to 17/50

6 0
3 years ago
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Soon you will determine the right triangle connection the pythagorean theorem
Softa [21]
I don't know I just need the points Lol sorry
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3 years ago
What is 1/10 of 1000
Marianna [84]
It is 100. There is many ways to find this answer. One way would be to divide 1000 by 10 to get a 100. Another way is to take the decimal form of 1/10 which is .10 and times it by 1000 to get 100.
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3 years ago
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The function below shows the number of car owners f(t), in thousands, in a city in different years t: f(t) = 0.25t2 − 0.5t + 3.5
N76 [4]
We solve this by the definition of slope in analytical geometry. The definition of slope is the rise over run. In equation, that would be

m = Δy/Δx = (y₂-y₁)/(x₂-x₁)

The x-coordinates here are the t values, while the y-coordinates are the f(t) values. So, let's find the y values of the boundaries.

At t=2: f(t)= 0.25(2)²<span> − 0.5(2) + 3.5 = 3.5
Point 1 is (2, 3.5)
At t=6: </span>f(t)= 0.25(6)² − 0.5(6) + 3.5 = 9.5
Point 2 is (6, 9.5)

The slope would then be

m = (9.5-3.5)/(6-2)
m = 1.5

Hence, the slope is 1.5. Interpreting the data, the rate of change between t=2 and t=6 is 1.5 thousands per year.
5 0
3 years ago
Javier has four cylindrical models. The heights, radii, and diagonals of the vertical cross-sections of the models are shown in
Ronch [10]

The model in which the lateral surface meets the base at right angle is : Model 1.

<h3>What is a lateral surface?</h3>

The lateral surface of an object is all surfaces  of that object excluding its base and top.

Analysis:

To know the exact model, we check for the models in which their dimensions form a Pythagorean triplet otherwise a right-angled triangle.

For Pythagorean triplet, the square of the diagonal must be equal to the sum of squares of the other two sides.

Model 1

Diagonal = 50cm, radius = 14cm, lateral height = 48cm

(50)^{2} = (14)^{2} + (48)^{2}

2500 = 196 + 2304

2500 = 2500. Forms Pythagorean triplet

Model 2

Diagonal= 37cm, radius = 6cm  lateral height = 35cm

(37)^{2} = (35)^{2}+ (6)^{2}

1369 = 1225 +36

1369 \neq 1261

Model 3

Diagonal = 60cm, radius = 20cm  lateral height = 40cm

(60)^{2} = (20)^{2} + (40)^{2}

3600 = 400 + 1600

3600 \neq 2000

Model 4

Diagonal = 30cm, radius = 24cm, lateral height = 9cm

(30)^{2} = (24)^{2} + (9)^{2}

900 = 576 + 81

900 \neq 657

Therefore the lateral surface model 1 meets the base at right angle

In conclusion,  the lateral surface of model 1 meets the base at right angles as the dimensions form a right-angled triangle.

Learn more about Pythagorean triplet: brainly.com/question/20894813

#SPJ1

5 0
2 years ago
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