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3 years ago

1) Solve for x. (3.x - 2)° (14x -19° (9x+7)

Mathematics

1 answer:

Brrunno [24]3 years ago

6 0

Answer:

x = 12

Step-by-step explanation:

We will label the unknown interior angle of the triangle d.

14x - 19 + d = 180

14x + d = 199

d = 199 - 14x

199 - 14x + 3x + 9x + 7 - 2 = 180

199 - 2x +5 = 180

204 - 2x = 180

204 = 180 + 2x

2x = 24

x = 12

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Nilda y sus compañeros de colegio están pintando dos paredes de su salón de clases. El área de una pared está representada por 3

Tpy6a [65]

Responder:

Explicación paso a paso:

Dado

Área de una pared = 3x² - 5x + 14

Área de la otra pared = 2x - 17

El área total de las dos paredes es la suma de las áreas de ambas paredes como se muestra;

Área total = 3x² - 5x + 14 + 2x - 17

Área total = 3x² -5x + 2x + 14-17

Área total = 3x² - 3x -3

Por tanto, el área total de ambas paredes es <u>3x² - 3x -3 </u>

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3 years ago

A study of 420 comma 100 cell phone users found that 133 of them developed cancer of the brain or nervous system. Prior to this

postnew [5]

Answer:

(0.0263%, 0.0370%)

Step-by-step explanation:

Sample size = n = 420,100

Number of users who developed cancer = x = 133

Proportion of users who developed cancer = p = $\frac{133}{420100}$

Proportion of users who didnot develop cancer = q = 1 - p = $1-\frac{133}{420100}=\frac{419967}{420100}$

Confidence Level = 95%

Z value associated with this confidence level = z = 1.96

The formula to calculate the confidence interval is:

$\text{Lower Bound} = p-z\sqrt{\frac{pq}{n}}\\\\ \text{Upper Bound} = p+z\sqrt{\frac{pq}{n}}$

Using the values in above expressions, we get:

$\text{Lower Bound}=\frac{133}{420100}-1.96\sqrt{\frac{\frac{133}{420100}\times\frac{419667}{420100}}{420100}}\\\\\text{Lower Bound}=0.000263$

and

$\text{Upper Bound}=\frac{133}{420100}+1.96\sqrt{\frac{\frac{133}{420100}\times\frac{419667}{420100}}{420100}} \\\\ \text{Upper Bound}=0.000370$

Thus, the bounds of the confidence interval are:

(0.000263, 0.000370)

This can be expressed in percentages as:

(0.0263%, 0.0370%)

Therefore, a 95% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system is (0.0263%, 0.0370%)

3 0

3 years ago

Does the formula V = 4/3 pi r^3 represent a linear or nonlinear function? Explain.

Levart [38]

This is the volume of the sphere & is not at all a linear function.

A linear function of the form of y=kx (k is a given number/coefficient) where

y & x grow at the same rate. Then whatever the input (x) it will generate an output (y) always in the ration y/x, whereas v=4/3 πr³ (coefficient =k =4/3(π), if r increase by 2 units v will increase by 2³ =8 & for r = 3, v increase by 3³ =27.

In short v increases quicker than r. No it's not a linear function

6 0

3 years ago

PLEASE HELP!

Paul [167]

Step-by-step explanation:

coefficient=w

variable=w

result=

32=w-4

w=4+32

w=36

constant=32,4

8 0

3 years ago

Find the domain of the function. (enter your answer using interval notation.) f(x) = 3x3 − 1 x2 + 2x − 15

Neporo4naja [7]

Hello!

A cubic function is in the form of $f(x)=ax^{3}+bx^{2}+cx+d$ .

All cubic functions have a domain of all real numbers, the range also has a range of all real numbers.

Interval notation is used for representing a function/interval as a pair of numbers. Parentheses and brackets are used to show if the endpoints of a given function/interval are included or excluded. Brackets allow the endpoints to be included while parentheses exclude the endpoint.

Our first instinct would be that the domain is written as [-∞, ∞], but that is incorrect. Infinity is not a number, but it is a concept. This means that they are excluded from the domain.

Therefore, the domain of the function f(x) is (-∞, ∞).

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3 years ago