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3 years ago

(-a + 1)(5a + 6) = Help me with this please

Mathematics

1 answer:

grandymaker [24]3 years ago

4 0

Answer:

4a + 7 = SIMPLIFIED

4a = -7

a= -1.75 ANSWER OF EXPONENT IF NEEDED

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The half-life of radioactive strontium-90 is approximately 28 years. In 1960, radioactive strontium-90 was released into the atm

pentagon [3]

Answer: It will take about 77 years (76.8 years).

Step-by-step explanation: Time is given by the equation: N=No.e^kt. You know that the concentration has to be 15% from the original so N=15 and No=100. To determine k, you have to look at the half-life. k=ln(0.5)/half-life time. For 28 years, k=-0.0247. Replacing it back into the N=No.e^kt equation, the answer will be 76.8 years.

6 0

3 years ago

Write (5,-3) and (10,-18) in standard form

Lelu [443]

Answer:

y = - $\frac{3}{4}$ x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

3x + 4y = 8 ( subtract 3x from both sides )

4y = - 3x + 8 ( divide all terms by 4 )

y = - $\frac{3}{4}$ x + 2 ← in slope- intercept form

6 0

3 years ago

According to a recent study, 1 in every 10 women has been a victim of domestic abuse at some point in her life. Suppose we have

Schach [20]

According to the given, 1 in every 10 women has been a victim, therefore the probability of a victim of domestic abuse at some pint is

$p=\frac{1}{10} = 0.10$

We need to use Binomial distribution to take a randomly sampled of 25 women and asked each whether she has been a victim.

$f(x)= ^nC_x (p)^x (1-p)^{n-x}$

Where x is the event that shows a victim of domestic abuse at some point.

We need to find the probability of these victim at least 2 has been victim of abuse, so

$P(x>=2) = 1- [P(x=0)+P(x=1)]$

$P(x>=2) = 1 - [^{25}C_0(0.10)^0(1-0.10)^{25-0}+^{25}C_1(0.10)^1(1-0.10)^{25-1}]$

$P(x>=2) = 1 - [0.07198+0.199]$

$P(x>=2) = 0.72902$

So the probability is 0.729

3 0

4 years ago

A building with a height of 32 m casts a shadow that is 20 m long. A person standing next to the building casts a shadow that is

r-ruslan [8.4K]

Answer:

Building's actual height 32 meters

Building's shadow height 20 meters

Person's shadow height 1.2 meters

Person's actual height = ?

Find the person's actual height:

This is a proportion problem.

Actual height to shadow height

Building = Person

32 : 20 = x : 1.2

32 * 1.2 = 20 * x

38.4 = 20x

38.4/20 = 20x/20

1.92 = x

The person's actual height is 1.92 meters long.

32 : 20 = 1.92 : 1.2

32/20 = 1.60

1.92/1.2 = 1.60

Step-by-step explanation:

6 0

3 years ago

The volume of a cylinder varies jointly as the square of the radius and the height. If the volume is 28pi cubic inches when the

nignag [31]

Answer:

1584 cu in.

Step-by-step explanation:

Since the volume varies jointly with the radius and height we have an equation V = kr^2h where k is the constant of variation

28 = 2^2(7)k = 28k

k = 1

Now V = r^2h

V = (12)^2(11) = 144(11) = 1584 cu in.

8 0

3 years ago