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Lostsunrise [7]

3 years ago

7

Zach wrote the formula 5w ^ 5 - w ^ 4 - 4w ^ 3 for the volume of a rectangular prism he is designing, with width w, which is alw

ays has a positive value greater than 1. Classify this polynomial by degree and by number of terms.
a quartic trinomial
b quadratic monomial
c. quintic trinomial
d. cubic trinomial

1 answer:

Sedbober [7]3 years ago

8 0

Answer:

cubric trinomial

Step-by-step explanation:

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Ms. Thomas is taking her friends to see a comedy show. The parking fee was $ 35 and the cost of each ticket for the show was $ 4

pychu [463]

1. An expression that will represent the amount of money that Ms. Thomas will spend is <u>p + 45n - c.</u>

2. The amount of money that Ms. Thomas will spend on the comedy tickets for herself and her 2 friends is <u>$155</u>.

<h3>What is a mathematical expression?</h3>

A mathematical expression is a statement that involves two or more variables that require some mathematical operations.

Most commonly, a mathematical expression contains numbers, variables, and operators, which show a value after the mathematical operations.

<h3>Data and Calculations:</h3>

Parking fee = $35

Ticket fee per person = $45

The number of people on the show = 3 (Ms. Thomas and her two friends)

Coupon = $15

Amount of money spent = p + 45n - c

where p = parking fee, n = number of visitors, and c = coupon received.

= 35 + 45 x 3 - 15

= $155

Learn more about mathematical expressions at brainly.com/question/1852123

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3 0

2 years ago

Can anyone help me with my homework?

Evgesh-ka [11]

I want more points next time....Hehehee!

<h2><u>______________________</u></h2>

<em>Solution in attachments!</em>

6 0

3 years ago

Uhh I need help what is equivalent to 1 to 4 ????

Nataly_w [17]

Answer:

2/8

Step-by-step explanation:

8 0

3 years ago

Given that cot θ = 1/√5, what is the value of (sec²θ - cosec²θ)/(sec²θ + cosec²θ) ?

Bogdan [553]

Step-by-step explanation:

$\mathsf{Given :\;\dfrac{{sec}^2\theta - co{sec}^2\theta}{{sec}^2\theta + co{sec}^2\theta}}$

$\bigstar\;\;\textsf{We know that : \large\boxed{\mathsf{{sec}\theta = \dfrac{1}{cos\theta}}}}$

$\bigstar\;\;\textsf{We know that : \large\boxed{\mathsf{co{sec}\theta = \dfrac{1}{sin\theta}}}}$

$\mathsf{\implies \dfrac{\dfrac{1}{cos^2\theta} - \dfrac{1}{sin^2\theta}}{\dfrac{1}{cos^2\theta} + \dfrac{1}{sin^2\theta}}}$

$\mathsf{\implies \dfrac{\dfrac{sin^2\theta - cos^2\theta}{sin^2\theta.cos^2\theta}}{\dfrac{sin^2\theta + cos^2\theta}{sin^2\theta.cos^2\theta}}}$

$\mathsf{\implies \dfrac{sin^2\theta - cos^2\theta}{sin^2\theta + cos^2\theta}}$

Taking sin²θ common in both numerator & denominator, We get :

$\mathsf{\implies \dfrac{sin^2\theta\left(1 - \dfrac{cos^2\theta}{sin^2\theta}\right)}{sin^2\theta\left(1 + \dfrac{cos^2\theta}{sin^2\theta}\right)}}$

$\bigstar\;\;\textsf{We know that : \large\boxed{\mathsf{cot\theta = \dfrac{cos\theta}{sin\theta}}}}$

$\mathsf{\implies \dfrac{1 -cot^2\theta}{1 + cot^2\theta}}$

$\mathsf{Given :\;cot\theta = \dfrac{1}{\sqrt{5}}}$

$\mathsf{\implies \dfrac{1 - \left(\dfrac{1}{\sqrt{5}}\right)^2}{1 + \left(\dfrac{1}{\sqrt{5}}\right)^2}}$

$\mathsf{\implies \dfrac{1 - \dfrac{1}{5}}{1 + \dfrac{1}{5}}}$

$\mathsf{\implies \dfrac{\dfrac{5 - 1}{5}}{\dfrac{5 + 1}{5}}}$

$\mathsf{\implies \dfrac{5 - 1}{5 + 1}}$

$\mathsf{\implies \dfrac{4}{6}}$

$\mathsf{\implies \dfrac{2}{3}}$

<u>Hence</u><u>,</u><u> option</u><u> </u><u>(</u><u>a)</u><u> </u><u>2</u><u>/</u><u>3</u><u> </u><u>is </u><u>your</u><u> </u><u>correct</u><u> </u><u>answer</u><u>.</u>

3 0

3 years ago

If ethans monthly expenses are 1160 and his debt to income ratio is 0.8 what is his monthly salary

lukranit [14]

Answer:

$1450$

Step-by-step explanation:

Based on the given conditions, formulate: $\frac{1160}{0.8}$

Convert decimal to fraction: $\dfrac{1160} {\dfrac{8}{10}}$

Divide a fraction by multiplying its reciprocal: $1160 \times \dfrac{10}{8}$

Cross out the common factor: $145 \times 10$

Calculate the product or quotient: $1450$

get the result: $1450$

Answer: $1450$

7 0

3 years ago