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OverLord2011 [107]
3 years ago
13

Please simplify: −23d+81≤−98d+1

Mathematics
1 answer:
Strike441 [17]3 years ago
5 0
- 23 d + 81  \leq -98 d + 1

Subtract 81 from both sides :

-23 d + 81-81 \leq -98d+1 -81

-23d \leq -98d-80

Add 98d to both sides:

-23d +98 d \leq -98d-80+98d

75d \leq -80

Divide both sides by 75 :

\frac{75d}{75}  \leq  \frac{-80}{75}

d \leq =- \frac{16}{15}

hope this helps!.


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A population of bacteria is initially 2,000. After three hours the population is 1,000.
lina2011 [118]

The population starts at 2000, so a=2000.

We also know that the population in 3 hours is 1000, so we can setup the equation:

     2000 b^3 = 1000

This gets us:

    b^3 = 1/2

And taking the cube root of both sides gives us:

    b ≈ 0.7937005259841

Rounding that to 4 places, we have:

    f(t) = 2000 (0.7937)^t

5 0
3 years ago
60 EXTRA POINTS!!!! I need help with writing an inequality for a graph. It is below. :)
ch4aika [34]

Answer:

The answer to your question is:   y ≥ - x + 6  and   y ≥ x - 4

Step-by-step explanation:

Look of a pairs of points for each graph

Line 1                                                  Line 2

A(0, 6)     B (5, 1)                                 C (7,3)               D(5, 1)

m =  (1- 6) / (5- 0)                               m = (1 - 3) / (5 - 7)  

m = -5/5 = -1                                      m = -2 / -2 = 1

Find  the line equation for each slope   (y - y1) = m (x - x1)

(y - 1) = -1 (x - 5)                                 (y - 1) = 1 (x - 5)

y - 1 = -x + 5                                       y -1 = x - 5

y = -x + 5 + 1                                       y = x - 5 + 1

y = -x + 6                                           y = x - 4

Inequality

y ≥ - x + 6                                          y ≥ x - 4

8 0
3 years ago
(NEED EVIDENCE, NOT ONLY ANSWER)
bearhunter [10]
Area of rectangle = width * length

So,
A = 75 * 18
A= 1350 inch^2

Convert inches to feet
1350 * 0.0833 = 112.5 ft^2
6 0
2 years ago
ASAP!!!!!!!!! PLEASE help me with this question! This is really urgent! No nonsense answers please.
Vesna [10]

Answer:

Because <CBD is an inscribed angle and <CAD is a central angle with the same intercepted arc, m<CBD = 55°, or half of the measure of <CAD.

Step-by-step explanation:

The Inscribed Angle Theorem proves that an inscribed angle is half the measure of a central angle, if both the inscribed angle and the central angle intercepts the same arc.

Also, according to the inscribed angle theorem, an inscribed angle is ½ of the measure of the arc it intercepts.

Therefore, m<CBD is half of m<CAD, or half of the measure of the arc CD that they both intercept together.

Thus, m<CBD = 55°, which is ½ of m<arc CD.

m<arc CD = 110° = m<CAD.

m<CBD = ½ of m<CAD = 55°.

The statement that best describes the relationship between <CBD and <CAD is "Because <CBD is an inscribed angle and <CAD is a central angle with the same intercepted arc, m<CBD = 55°, or half of the measure of <CAD."

4 0
3 years ago
1 point
Ahat [919]

James's current balance on his credit card is <u>$900.</u>

This amount represents the card's balance before the current charge of $1,500 and the finance charge of $60.

<h3>What is a credit card balance?</h3>

A credit card balance is the amount of the charges made on a credit card, including the finance charges, and therefore, owed to a credit card company.

<h3>Data and Calculations:</h3>

Current current balance = $x

APR (Annual Percentage Rate) of interest = 30%

Monthly APR = 2.5% (30%/12)

Current purchase for the month = $1,500

Finance charge for the month = $60

Finance charge for the current purchase = $37.50 ($1,500 x 2.5%)

Finance charge for the current balance = $22.50 ($60 - $37.50)

The current balance that attracts the finance charge of $22.50 will be $900 ($22.50/2.5%).

<u>Alternatively:</u>

Since the monthly APR is 2.5% and the finance charge is $60 for the month, the balance at the end of the month is $2,400 ($60/2.5%).

Thus, the current balance on James' credit card is $900 ($2,400 - $1,500) while the end-of-the-month balance is $2,460 ($900 + $1,500 + $60).

Learn more about credit card balance at brainly.com/question/6872962

8 0
2 years ago
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