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LuckyWell
1 month ago
10

Which expression is equivalent to (f g) (5)?

Mathematics
2 answers:
Svet_ta [12.7K]1 month ago
4 0

Answer:

f(5) + g(5)

Step-by-step explanation:

Applying the distributive property.

Leona [12.6K]1 month ago
4 0
This is an expression that corresponds to the problem (f g) (10)
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Malik randomly picked two numbers from 1 to 9 (Includin 1 and 9). the same number could be picked more than once. The first of t
tester [12383]

Response:

2/9 = 0.22

Clarification:

There are two ways to select the first number that is odd and less than 5: 1 and 3.

For each of these, the second number drawn can be any of the values from 1 to 9, giving us a total of 18 options.

Out of these, the only pairs that result in a sum less than 5 are (1,1), (1,2), (1,3), and (3,1). Thus we have 4 combinations from the total of 18:

4/18 = 2/9 = 0.22

8 0
1 month ago
At the local dairy farm, Kareem buys a 32-oz container of yogurt for $2.56. Jonah buys a 6-oz container of yogurt for $0.48. Are
Zina [12379]

Answer:

Yes, the cost y in dollars and the quantity of yogurt x are indeed proportional.

The relationship can be expressed as: y=0.08x


Step-by-step explanation:

1. If y varies directly with x, it can be represented as:

y=kx

Here, k represents the constant of proportionality.

2. We'll calculate the proportionality constant. Given that y=2.56 and x=32, we have:

y=kx\\k=\frac{y}{x}\\k=\frac{2.56}{32}\\k=0.08

3. Thus, the equation becomes:

y=0.08x

4. Now, we need to verify proportionality. Substituting x=6, which is the quantity of yogurt purchased by Jonah, we should arrive at $0.48:

y=0.08(6)\\y=0.48

5. They are indeed directly proportional.

6 0
1 month ago
Read 2 more answers
Problem Select three ratios that are equivalent to 11:111:111, colon, 1. Choose 3 answers: Choose 3 answers: (Choice A) A 1:111:
Inessa [12570]

Answer:

(Choice B) B 22:222:222, colon, 2

(Choice C) C 55:555:555, colon, 5

(Choice D) D 99:999:999, colon, 99

Step-by-step explanation:

Three ratios that correspond to 11:111:111

(Choice A) A 1:111:111, colon, 11

By dividing by 1

= 1: 111: 111

(Choice B) B 22:222:222, colon, 2

Dividing by 2

= 11: 111: 111

(Choice C) C 55:555:555, colon, 5

Dividing by 5

= 11: 111: 111

(Choice D) D 99:999:999, colon, 99

Dividing by 9

= 11: 111: 111

(Choice E) E 110:10110:10

Dividing by 10

11: 1011: 1

The corresponding ratios are:

(Choice B) B 22:222:222, colon, 2

(Choice C) C 55:555:555, colon, 5

(Choice D) D 99:999:999, colon, 99

5 0
1 month ago
How many possible values for y are there where y = cos^-1 0?
Zina [12379]

The potential values for y areinfinite

Further clarification

Trigonometry is a branch of math focused on the connections between the sides and angles of triangles.

Considering special angles of trigonometric functions, for instance

\displaystyle sin~0=0\\\\cos~30=\frac{1}{2}\sqrt{3}\\\\tan~45=1\\\\sec~45=\sqrt{2}\\\\etc.

In the equation y = cos⁻¹ 0, the value of y can be derived as follows:

y = cos⁻¹0

y = arc cos 0

cos y = 0

Thus, the resulting value of y:

\displaystyle \frac{\pi }{2},\frac{3}{2}\pi,\frac{5}{2}\pi, etc

Alternatively, it can be expressed as:

\displaystyle y=\frac{\pi }{2} (2n-1) ⇒ y: arithmetic sequence

So there are infinite solutions for y

Learn more

trigonometric identities

Keywords: trigonometric, infinite values,arithmetic sequence

3 0
1 month ago
Read 2 more answers
Find the value of x in the triangle shown below
lawyer [12517]
The value of x is 12. This can be found using the Pythagorean theorem with c equal to 13 and b equal to 5, where a equals x.
6 0
1 month ago
Read 2 more answers
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