All categories

3 years ago

2. Deidre says that half of her t-shirts are

Mathematics

1 answer:

Anon25 [30]3 years ago

3 0

Answer:

wheres the answers? i only see the question

Step-by-step explanation:

You might be interested in

Find the values of k so that each remainder is three. 10. (x^2+ 5x + 7) = (x + k)

Goryan [66]

Answer:

$k=1\text{ or } k=4$

Step-by-step explanation:

We can use the Polynomial Remainder Theorem. It states that if we divide a polynomial P(x) by a binomial in the form (x - a), then our remainder will be P(a).

We are dividing:

$(x^2+5x+7)\div(x+k)$

So, a polynomial by a binomial factor.

Our factor is (x + k) or (x - (-k)). Using the form (x - a), our a = -k.

We want our remainder to be 3. So, P(a)=P(-k)=3.

Therefore:

$(-k)^2+5(-k)+7=3$

Simplify:

$k^2-5k+7=3$

Solve for k. Subtract 3 from both sides:

$k^2-5k+4=0$

Factor:

$(k-1)(k-4)=0$

Zero Product Property:

$k-1=0\text{ or } k-4=0$

Solve:

$k=1\text{ or } k=4$

So, either of the two expressions:

$(x^2+5x+7)\div(x+1)\text{ or } (x^2+5x+7)\div(x+4)$

Will yield 3 as the remainder.

5 0

3 years ago

Many electronics follow a failure rate described by an exponential probability density function (PDF). Solar panels are advertis

katovenus [111]

Answer:

The right answer is "0.3193".

Step-by-step explanation:

According to the question,

Mean,

$\frac{1}{\lambda} = 13$

$\lambda = \frac{1}{13}$

As we know,

The cumulative distributive function will be:

⇒ $1-e^{-\lambda x}$

hence,

In the first 5 years, the probability of failure will be:

⇒ $P(X$

$=1-e^{-(\frac{1}{13} )\times 5}$

$=1-e^(-\frac{5}{13})$

$=1-0.6807$

$=0.3193$

3 0

3 years ago

Area and volume math question pretty simple please help no explanation needed just answers

Svetlanka [38]

Solution ,

length = 4m

breadth = 1.2m

height = 0.3m

Now

Area = l × b

= 4m × 1.2 m

= 4.8m²

Now

Volume = l × b × h

= 4m × 1.2m × 0.3m

= 1.44 m³

~Prasuna090154~

3 0

2 years ago

Read 2 more answers

Ms. Check your answers.

xenn [34]

3kg+2kg=5kg
5/$3.25=0.65
price per kg=0.65

5 0

3 years ago

Read 2 more answers

The lengths of two sides of a right triangle are 5 inches and 8 inches. What is the difference between the two possible

3241004551 [841]

Answer:

Option 2 - 3.2 inches.

Step-by-step explanation:

Given : The lengths of two sides of a right triangle are 5 inches and 8 inches.

To find : What is the difference between the two possible lengths of the third side of the triangle?

Solution :

According to question, it is a right angle triangle

Applying Pythagoras theorem,

$H^2=P^2+B^2$

Where, H is the hypotenuse the longer side of the triangle

P is the perpendicular

B is the base

Assume that H=8 inches and B = 5 inches

Substitute the value in the formula,

$8^2=P^2+5^2$

$64=P^2+25$

$P^2=64-25$

$P^2=39$

$P=\sqrt{39}$

$P=6.24$

Assume that P=8 inches and B = 5 inches

Substitute the value in the formula,

$H^2=8^2+5^2$

$H^2=64+25$

$H^2=89$

$H=\sqrt{89}$

$H=9.43$

Therefore, The possible length of the third side of the triangle is

$L=H-P$

$L=9.43-6.24$

$L=3.19$

Therefore, The difference between the two possible lengths of the third side of the triangle is 3.2 inches.

So, Option 2 is correct.

3 0

3 years ago

Read 2 more answers