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3 years ago

Solve by your method of choice.

Mathematics

1 answer:

34kurt3 years ago

6 0

Answer:

Step-by-step explanation:

Given the 2 equations

x³ + y = 0 → (1)

11x² - y = 0 → (2)

Add (1) and (2) term by term to eliminate the term in y

x³ + 11x² = 0 ← factor out x² from each term

x²(x + 11) = 0

Equate each factor to zero and solve for x

x² = 0 ⇒ x = 0

x + 11 = 0 ⇒ x = - 11

Substitute these values into (1) for corresponding values of y

(1) y = - x³

x = 0 ⇒ y = 0 ⇒ (0, 0) is a solution

x = - 11 ⇒ y = - (- 11)³ = 1331 ⇒ (- 11, 1331) is a solution

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masya89 [10]

Answer will be 1/17

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4 years ago

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QveST [7]

Répondre:

AI = 32,36 m

IE = 30,78 m

Explication étape par étape:

Utilisation de Pythagore:

Cosθ = adjacent / hypoténus

AI = hypoténus

θ = 72 °

Adjacent = 10 m

Cos 72 = 10 / AI

0,3090169 = 10 / AI

AI = 10 / 0,3090169

AI = 32,36 m

De la trigonométrie;

IE = opposé

Adjacent = 10m

Tanθ = opposé / adjacent

Tan 72 = IE / 10

IE = Tan 72 * 10

IE = 3,0776835 * 10

IE = 30,78 m

4 0

3 years ago

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Zina [86]

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7 0

3 years ago

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netineya [11]

Answer: 5.4

--------------------------------------

Explanation:

Angle D = 43 is the given reference angle
side FE = 5 is the side opposite the reference angle (since its the leg furthest away from angle D)

We want to find side DE which is the other leg. This is the adjacent side with angle D as the reference angle

Use the tangent rule

tan(angle) = opposite/adjacent
tan(D) = FE/DE
tan(43) = 5/DE
DE*tan(43) = 5
DE = 5/tan(43)
DE = 5.36184355 <<-- use a calculator here; this is approximate
DE = 5.4 <<-- round to the nearest tenth

That's why 5.4 is the answer

6 0

4 years ago

A Gallup survey of 2322 adults (at least 18 years old) in the U.S. found that 408 of them have donated blood in the past two yea

Flura [38]

Answer: $(0.163,\ 0.189)$

Step-by-step explanation:

The confidence interval for population proportion(p) is given by :-

$\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

, where $\hat{p}$ = Sample proportion.

n= Sample size.

z* = Critical value.

Let p = Proportion of adults in the U.S. who have donated blood in the past two years.

As per given , we have

n= 2322

Sample proportion of adults in the U.S. who have donated blood in the past two years. : $\hat{p}=\dfrac{408}{2322}\approx0.1757$

By z-table , the critical value for 90% confidence : z*= 1.645

Then, the 90% confidence interval for the population proportion of adults in the U.S. who have donated blood in the past two years will be

$0.1757\pm ( 1.645)\sqrt{\dfrac{0.1757(1-0.1757)}{2322}}$

$0.1757\pm ( 1.645)\sqrt{0.0000623727433247}$

$0.1757\pm ( 1.645)(0.00789764163056)$

$0.1757\pm 0.013$

$=(0.1757- 0.013,\ 0.1757+ 0.013)$

$=(0.1627,\ 0.1887)\approx(0.163,\ 0.189)$

Hence, the 90% confidence interval for the population proportion of adults in the U.S. who have donated blood in the past two years. = $(0.163,\ 0.189)$

5 0

3 years ago