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3 years ago

Expand the brackets 2x(3x+5).

Mathematics

1 answer:

Harrizon [31]3 years ago

5 0

Answer:

6x²+10x

Step-by-step explanation:

2x(3x+5)

Distribute 2x to the terms in the bracket.

2x(3x) + 2x(5)

2x × 3x + 2x × 5

Multiply the terms.

6x²+10x

The answer is 6x²+10x.

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Estimate the slope of the tangent line of the function y(t)=\sqrt{(3t+1} at the point t=2.

Korvikt [17]

Answer: 0.567

Step-by-step explanation:

$y(t)=\sqrt{3t+1} \\\\y'(t)=\dfrac{3}{2\sqrt{3t+1} } \\\\y'(2)=\dfrac{3}{2\sqrt{3*2+1} } =\dfrac{3\sqrt{7} }{14} =0,56694670951384084082177480435127\approx{0.567}$

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3 years ago

Broccoli costs $1.50 PER POUND at a grocery store. How much money does 64 OUNCES of broccoli cost?

Gnoma [55]

$6.00
Show your work in the attachment. Down below

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3 years ago

Quality control is an important issue at ACME Company which manufacturers light bulbs. In order to conduct testing of the life h

mrs_skeptik [129]

Answer: 3424.28

Step-by-step explanation:

Given data : 378, 361, 350, 375, 200, 391, 375, 368, 321

Number of data values = 9

Mean : $\overline{x}=\dfrac{\sum^n_{i=1} x_i}{n}$

$\\\\=\dfrac{378+361+350+375+200+391+375+368+321}{9}\\\\=\dfrac{3119}{9}\approx346.56$

Variance = $\dfrac{\sum^n_{i=1} (x_i-\overline{x})^2}{n-1}$

$\sum^n_{i=1} (x_i-\overline{x})^2 = (31.44)^2+(14.44)^2+(3.44)^2+(28.44)^2+(-146.56)^2+(44.44)^2+(28.44)^2+(21.44)^2+(-25.56)^2\\\\=27394.2224$

Variance = $\dfrac{27394.2224}{8}=3424.2775\approx3424.28$

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3 years ago

What conditions would be enough to prove that P is the circumcenter of HJK ? Select all that apply.

nadezda [96]

Answer:

B trust me

Step-by-step explanation:

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2 years ago

PLEASE SHOW WORK OR EXPLAIN

timofeeve [1]

Answer:

Step-by-step explanation:

You must use the trigonometric function.

In this case, it will be tangent.

$tangent=\dfrac{opposite}{adjacent}$

We have

$\theta=38^o,\ opposite=r,\ adjacent=20$

$\tan38^\approx0.7813$

Substitute:

$\tan38^o=\dfrac{r}{20}$

$\dfrac{r}{20}=0.7813$ <em>multiply both sides by 20</em>

$r=15.626$

Tree height is r + 5.

Therefore

$r+5=15.626+5=20.626\approx20.6\ ft$

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3 years ago