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3 years ago

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

2 answers:

Flura [38]3 years ago

6 0

Answer:

k= 2, k= -4

Step-by-step explanation:

you can use symbolab

MAXImum [283]3 years ago

6 0

2 and -4 are the right answers!

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The ratio equation used to find percent is...

Serhud [2]

Answer: C

Step-by-step explanation:

5 0

3 years ago

What is the value of x? (geometry question)

andreyandreev [35.5K]

Given:

The interior angles of the triangle are 44°, 3t - 45° and x - 15°

The exterior angle of the triangle is 4t - 29°

We need to determine the value of x.

Value of t:

The value of t can be determined using the exterior angle theorem.

Applying the theorem, we have;

$44+3t - 45=4t-29$

$3t - 1=4t-29$

$-t - 1=-29$

$-t=-28$

$t=28$

Thus, the value of t is 28.

Value of x:

The exterior angle 4t -29 and the interior angle x - 15 are linear pairs.

Since, linear pairs add up to 180°, we have;

$4t-29+x-15=180$

Substituting t = 28, we get;

$4(28)-29+x-15=180$

$112-29+x-15=180$

$x+68=180$

$x=112$

Thus, the value of x is 112.

8 0

4 years ago

Given the axle below, how much force must be applied to the handle to lift the weight?

blondinia [14]

Equation:

F = (w * da) / dh

F = (400 * 2) / (30)

F = (800) / (30)

F = 26.7 or 27 lb

7 0

3 years ago

Problems with which part of the bone would lead to blood disorders

Pavlova-9 [17]

Answer:

Bone marrow

Step-by-step explanation:

Bone marrow is the semi-solid tissue that is found in the center of your bones. Bone marrow is the primary site of new blood cell production in all birds and mammals. Problems with your bone marrow may lead to blood disorder such as anemia, leukemia, lymphoma, and myeloma.

I hope this helped!

4 0

3 years ago

Radioactive isotopes are commonly used to estimate artifact ages. Let X be the time in years for a Carbon-14 atom to decay to Ni

Alexeev081 [22]

Answer:

a) 1 / years

b) P ( 5000 < X < 6000) = 0.06222

c) 8267 years

d) T_1/2 = 5730.25 years

Step-by-step explanation:

Given:

- The decay constant λ = 1 / 8267

- X is an exponential random Variable

Find:

a. What are the units of What are the units of λ?

b. What is the probability the decay time is between 5000 and 6000 years?

c. Compute SD(X).

d. Compute the median decay time. The result is called the half-life of Carbon-14?

Solution:

- The decay constant λ means the rate at which the C-14 atoms decays into N-14 atom. The rate is expressed in units of 1 / year.

- The random variable X follows an exponential distribution which has a probability mass function and cumulative density functions as follows:

P ( X = t ) = λ*e^(-λ*t)

P ( X = t ) = e^(-t/8267) / 8267

P ( X < t ) = 1 - e^(-λ*t) = 1 - e^(-t/8267)

- The probability of the decay time between years 5000 and 6000 years is:

P ( 5000 < X < 6000) = 1 - e^(-6000/8267) - 1 + e^(-5000/8267)

P ( 5000 < X < 6000) = 0.06222

- The standard deviation of the exponential distribution is given by:

SD(X) = 1 / λ = 8267 years

- The median decay time for an exponential distribution is given by:

T_1/2 = Ln(2) / λ = Ln(2)*8267

T_1/2 = 5730.25 years

3 0

4 years ago

Read 2 more answers