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valentinak56 [21]
2 years ago
5

Given the scatter plot, choose the function that best fits the data.

Mathematics
1 answer:
geniusboy [140]2 years ago
5 0

Considering the scatter plot, the function that best fits the data is given by:

f(x) = 3x².

<h3>What is the function that best fits the data?</h3>

To find the function that best fits the data, we have to look at the scatter plot, which gives a series of points (x,y).

We have that:

  • When x increases, y also increases, hence the function is increasing, which removes the option f(x) = -3x.
  • The increase looks "faster" than a linear increase, hence a quadratic model should be used, thus removing option f(x) = 3x.

Hence the function that best fits the data is given by:

f(x) = 3x².

More can be learned about scatter plots at brainly.com/question/22968877

#SPJ1

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Can someone please help me with this!!!!
balandron [24]
You can use the similarity approach of these two triangles CBD and CAE

as a result:
\frac{BD}{AE} = \frac{10}{2x} = \frac{CD}{CE} = \frac{3x}{?}

so:
? = 6x^2 / 10 = 0.6 x^2

and the fact of:

"The segment connecting the midpoints of two sides of a triangle is parallel to the third side and equals its half length"

so:BD = 0.5 AE        10 = 0.5 * 2x        >>> x= 10


Back to:
? =0.6 x^2 = 0.6 * 10^2 = 0.6 * 100 = 60



A

Hope that helps
7 0
3 years ago
Read 2 more answers
Convert to scientific notation.
Helen [10]

Answer:

7.8432 × 10^-13

Step-by-step explanation:

5 0
3 years ago
Set up an equation to find the length of the diagonal of the rectangle.
nikklg [1K]

Answer:

  • Set length as l

Use the Pythagorean Theorem to find the diagonal:

5^{2} +l^{2} =(\sqrt{125})^{2}\\ 5^{2} +l^{2} =125

4 0
3 years ago
An AISI 1040 cold-drawn steel tube has an OD 5 50 mm and wall thickness 6 mm. What maximum external pressure can this tube withs
lukranit [14]

Answer:

82.79MPa

Step-by-step explanation:

Minimum yield strength for AISI 1040 cold drawn steel as obtained from literature, Sᵧ = 490 MPa

Given, outer radius, r₀ = 25mm = 0.025m, thickness = 6mm = 0.006m, internal radius, rᵢ = 19mm = 0.019m,

Largest allowable stress = 0.8(-490) = -392 MPa (minus sign because of compressive nature of the stress)

The tangential stress, σₜ = - ((r₀²p₀)/(r₀² - rᵢ²))(1 + (rᵢ²/r²))

But the maximum tangential stress will occur on the internal diameter of the tube, where r = rᵢ

σₜₘₐₓ = -2(r₀²p₀)/(r₀² - rᵢ²)

p₀ = - σₜₘₐₓ(r₀² - rᵢ²)/2(r₀²) = -392(0.025² - 0.019²)/2(0.025²) = 82.79 MPa.

Hope this helps!!

8 0
3 years ago
Find the length of side AB. Give your answer to 1 decimal place.
ehidna [41]

Answer:

Length of side AB = 5.6 cm

Step-by-step explanation:

From the figure attached.

In right triangle ABC,

m∠ABC = 62°

m(BC) = 12 cm

By applying Cosine rule in this triangle,

Cos62° = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

Cos62°= \frac{AB}{BC}

0.46947 = \frac{AB}{12}

AB = 12 × 0.46947

AB = 5.63

     ≈ 5.6 cm  

Therefore, length of side AB = 5.6 cm

7 0
3 years ago
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