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3 years ago

Evaluate 3/7r + 5/8s when r= 14 and s= 8

Mathematics

1 answer:

jasenka [17]3 years ago

6 0

Answer:

Step-by-step explanation:

Step 1:

3/7r+5/8s

Step 2:

So u multiply 3/7 by 14

3/7 x 14= 42/7= 6

Step 2.5:

Now u multiply 5/8 by 8

5/8 x 8= 40/8= 5

Step 3:

6+5=11

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Which side lengths form s right triangle? A. 5,12,13 B. 4,4,8 C. 2,3,4 plz help

zzz [600]

Answer:

A 5,12,13

Step-by-step explanation:

workout Pythagorean theory and find the hypotenus

5 0

2 years ago

The table gives the relative frequencies of recipes that contains sugar and salt, contain at least one of those ingredients, or

tigry1 [53]

Answer-

The probability that a randomly selected recipe does not contain sugar, given that it contains salt is 22.4%

Solution-

The given table in the link shows the relative frequencies of recipes that contains sugar and salt, or contains at least one of those ingredients, or contains neither of those ingredients.

We have to find the conditional probability that the recipe doesn't contain sugar, given that it contains salt.

We know that, the conditional probability of occurrence of A given that B occurs is,

$P(A|B)=\frac{P(A\ and\ B)}{P(B)} =\frac{P(A\bigcap B)}{P(B)}$

$P(\text{Doesn't contain sugar}\ |\ \text{Contains salt})=\frac{P(\text{Doesn't contain sugar}\ and\ \text{Contains salt})}{P(\text{Contains salt})}$

$P(\text{Doesn't contain sugar}\ and\ \text{Contains salt})=\frac{0.15}{1} =0.15\\P(\text{Contains salt})=\frac{0.67}{1}=0.67$

Putting these values,

$P(\text{Doesn't contain sugar}\ |\ \text{Contains salt})=\frac{0.15}{0.67} =0.224=22.4\%$

5 0

3 years ago

All of the functions shown below are either exponential growth or decay functions.

AlekseyPX

Answer:

Step-by-step explanation:

If an exponential function is in the form of y = a(b)ˣ,

a = Initial quantity

b = Growth factor

x = Duration

Condition for exponential growth → b > 1

Condition for exponential decay → 0 < b < 1

Now we ca apply this condition in the given functions,

1). $y=3.2(1+0.45)^{2x}$

Here, (1 + 0.45) = 1.45 > 1

Therefore, It's an exponential growth.

2). $y=(0.85)^{3x}$

Here, (0.85) is between 0 and 1,

Therefore, it's an exponential decay.

3). y = (1 - 0.03)ˣ + 4

Here, (1 - 0.03) = 0.97

And 0 < 0.97 < 1

Therefore, It's an exponential decay.

4). y = 0.5(1.2)ˣ + 2

Here, 1.2 > 1

Therefore, it's an exponential growth.

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2 years ago

A = 1/2bh, where A is the surface area and b is the base, and H is the height.

elena55 [62]

When height turns to 3 times height or 3h

we can replace h with 3h and see what happens

A=1/2b(3h)
A=3/2bh
A=3(1/2bh)
well, the area is trippled

4 0

3 years ago

What is the factorization of 3x^2 – 8x + 5?

I am Lyosha [343]

Answer:

Step-by-step explanation

Step 1: multiply the coefficient a and the constant c. Given that the general expression of a parabolic equation is ax^2+bx+c

3*5=15

Step 2: examine the coefficient b and try to find 2 numbers which you can multiply to get 15, add or subtract and get - 8

In this Case: - 3*-5=15 and - 3+(-5)= - 8

Step3:

You separate the equation in terms of the two factors you have found

3x^2-3x-5x+5=0

Step 4:Factorise

3x(x-1)-5(x-1)=0

(3x-5)(x-1)=0

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2 years ago