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3 years ago

Help!!!!Given log7⁡3≈0.5646 and log7⁡16≈1.4248, evaluate the expressions.

Mathematics

2 answers:

kolezko [41]3 years ago

7 0

Answer:noooo

Step-by-step explanation:

krok68 [10]3 years ago

3 0

Answer:

a) 0.356

b) 1.1397

Step-by-step explanation:

a) log₇2

log(2) / log(7)

0.356

b) log₇ (¹⁴⁷/₁₆)

log (¹⁴⁷/₁₆)

log (7)

1.1397

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Math help Please!!!!

GalinKa [24]

Part A. What is the slope of a line that is perpendicular to a line whose equation is −2y=3x+7?

Rewrite the equation −2y=3x+7 in the form $y=-\dfrac{3}{2}x-\dfrac{7}{2}.$ Here the slope of the given line is $m_1=-\dfrac{3}{2}.$ If $m_2$ is the slope of perpendicular line, then

$m_1\cdot m_2=-1,\\ \\m_2=-\dfrac{1}{m_1}=\dfrac{2}{3}.$

Answer 1: $\dfrac{2}{3}$

Part B. The slope of the line y=−2x+3 is -2. Since $-\dfrac{3}{2}\neq -2\quad \text{and}\quad \dfrac{2}{3}\neq -2,$ then lines from part A are not parallel to line a.

Since $-2\cdot \left(-\dfrac{3}{2}\right)=3\neq -1\quad \text{and}\quad -2\cdot \dfrac{2}{3}=-\dfrac{4}{3}\neq -1,$ both lines are not perpendicular to line a.

Answer 2: Neither parallel nor perpendicular to line a

Part C. The line parallel to the line 2x+5y=10 has the equation 2x+5y=b. This line passes through the point (5,-4), then

2·5+5·(-4)=b,

10-20=b,

b=-10.

Answer 3: 2x+5y=-10.

Part D. The slope of the line $y=\dfrac{x}{4}+5$ is $\dfrac{1}{4}.$ Then the slope of perpendicular line is -4 and the equation of the perpendicular line is y=-4x+b. This line passes through the point (2,7), then

7=-4·2+b,

b=7+8,

b=15.

Answer 4: y=-4x+15.

Part E. Consider vectors $\vec{p}_1=(-c-0,0-(-d))=(-c,d)\quad \text{and}\quad \vec{p}_2=(0-b,a-0)=(-b,a).$ These vectors are collinear, then

$\dfrac{-c}{-b}=\dfrac{d}{a},\quad \text{or}\quad -\dfrac{a}{b}=-\dfrac{d}{c}.$

Answer 5: $-\dfrac{a}{b}=-\dfrac{d}{c}.$

5 0

3 years ago

Read 2 more answers

Write the polynomial in standard form.

sp2606 [1]

The standard form is:

$4x^5+3x^2+3$

Degree = 5, leading coefficient=4

The 5th degree polynomial is:

Quintic function

it is a trinomial

What is standard form of a polynomial?

When expressing a polynomial in its standard form, the greatest degree of terms are written first, followed by the next degree, and so on.

So, standard form is:

$4x^5+3x^2+3$

To find the degree of the polynomial, add up the exponents of each term and select the highest sum ( if there are more than 1 variable in single term) or highest power of variable

Degree = 5

In a polynomial, the leading term is the term with the highest power of x.

So, leading coefficient=4

The 5th degree polynomial is:

Quintic function

It has 3 terms. so, it is a trinomial

To learn more about the standard form of a polynomial from the given link

brainly.com/question/26552651

#SPJ1

4 0

1 year ago

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