All categories

3 years ago

► 00:00

Mathematics

1 answer:

Viefleur [7K]3 years ago

7 0

Answer:

Proof

Step-by-step explanation:

PROOF can be said to be logical mathematical argument in which every statement of fact is supported by a reason

due to the fact mathematical proof is an inferential argument for a mathematical statement because it help to shows that the assumptions stated logically guarantee and enables the conclusion.

Therefore Proofs can be said to be an examples of exhaustive deductive reasoning because they tend to often establish logical certainty which can be differentiated from empirical arguments which inturn help to establish reasonable and effectively expectation as well as employ logic expressed in mathematical symbols which is why proofs are often written in terms of rigorous informal logic

You might be interested in

Solve the equation by using the Properties of Equality.<br> 9x – 3 = 42

Naya [18.7K]

Step-by-step explanation:

9x-3=42

9x=42+3

9x=45

9x/9=45/9

x=5

3 0

3 years ago

a sack of potatoes weighs 14 pounds 9 ounces. After Wendy makes potato salad for a picnic, the sack weighs 9 pounds 14 ounces. w

Mamont248 [21]

You have to convert the pound to ounces and ounces to pounds

5 0

3 years ago

The number of people , d, in thousands applying for medical benefits per week in a particular city can be modules by the equatio

Mekhanik [1.2K]

Answer:

<h2>4773 peoples.</h2>

Step-by-step explanation:

Given the number of people d, in thousands applying for medical benefits per week in a particular city c modeled by the equation d(t)=2.5 sin(0.76t+0.3)+3.8 where t is the time in years, the maximum number of people tat will apply will occur at d(t)/dt = 0

Differentiating the function given with respect to t, we will have;

$d(t)=2.5 sin(0.76t+0.3)+3.8$

First we need to know that differential of any constant is zero.

$Using\ chain\ rule\\\frac{d(t)}{dt} = 2.5cos(0.76t+0.3) * 0.76 + 0\\ \\\frac{d(t)}{dt} = 1.9cos(0.76t+0.3)$

If $\frac{d(t)}{dt} =0$ then;

$1.9cos(0.76t+0.3) = 0\\\\cos(0.76t+0.3) = 0\\\\0.76t+0.3 = cos^{-1} 0\\\\0.76+3t = 90\\\\3t = 90-0.76\\3t = 89.24\\\\t = 89.24/3\\\\t = 29.75years$

To know the maximum number of people in thousands that apply for benefits per year in the city, we wil substitute the value of t = 29.75 into the modeled equation

$d(t)=2.5 sin(0.76t+0.3)+3.8\\d(29.75) = 2.5 sin(0.76(29.75)+0.3)+3.8\\d(29.75) = 2.5 sin(22.61+0.3)+3.8\\\\d(29.75) = 2.5 sin(22.91)+3.8\\\\d(29.75) = 0.9732+3.8\\d(29.75) = 4.7732\\\\$

Since d is in thousands, the maximum number of people in thousands will be 4.7732*1000 = 4773.2 which is approximately 4773 peoples.

3 0

3 years ago

Pablo borrowed $50,000 to start a business. Three years later, he repaid the $50,000 along with an interest of $9,375. What was

weeeeeb [17]

Answer:

The annual interest rate is 5.89%.

Step-by-step explanation:

Principal = $50,000

Interest = $9,375

Amount = Principal +interest

Amount = $50,000+$9,375

Amount = $59375

Time = 3 years

We are supposed to find the rate of interest

Formula : $A=P(1+r)^t$

$59375=50000(1+r)^3$

$\frac{59375}{50000}=(1+r)^3$

$1.1875=(1+r)^3$

$\sqrt[3]{1.1875}=(1+r)$

$1.0589=(1+r)$

$1.0589-1=r$

$0.0589=r$

$0.0589 \times 100=r$

$5.89\%=r$

Hence The annual interest rate is 5.89%.

5 0

3 years ago

Read 2 more answers

In 1839, Georgia produced 326,000 bales of cotton . By 1860, the state produced 700,000 bales. What was the approximate percent

hammer [34]

Answer: 115% increase

Step-by-step explanation: To solve, we need to subtract the first value fro the second value. The formula is Percent Change = ((Second Value – First Value) ÷ First Value) x 100%

700,000-326,000=374,000. Then, divide the difference by the first value.

374,000÷326,000=1.1472392638≈1.15

1.15×100%=115%

Thus, the approximate percent of increase in the bales produced during that 21-year period is 115% increase

3 0

3 years ago