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MariettaO [177]
2 years ago
15

Will give brainiest, need help

Mathematics
2 answers:
eimsori [14]2 years ago
8 0

Answer:

f(6) = 53

Step-by-step explanation:

f(x) = 10x - 7

We want to find f(6)

To do so simply substitute 6 for x in the equation

Equation: 10x - 7

x = 6

f(6) = 10(6) - 7

multiply 10 and 6

f(6) = 60 - 7

subtract

f(6) = 53

bearhunter [10]2 years ago
3 0

Answer:

f(x)=53

Step-by-step explanation:

For f(x)=10x-7\\ substitute x for 6

10\cdot 6=60\\60-7=53

f(6)=53

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A 45 foot ladders leaning up against a building. The base of the latter is 20 feet away from the building. What is the angle of
Tatiana [17]

Answer:

The angle of elevation to the top of the building is 63.61 degrees

Step-by-step explanation:

Here, we want to calculate angle of elevation to the top of the building.

For this, we need a triangle

Please check for this in the attachment.

From the diagram, we are to calculate the angle theta.

To do this, we use trigonometric identities.

Looking at what we have, we have the hypotenuse and the adjacent.

So the trigonometric identity to use is the cosine

Mathematically Cosine theta = adjacent/hypotenuse

Thus, Cos theta = 20/45

Cos theta = 0.444444444444444

Theta = Arc cos(0.444444444444444)

Theta = 63.61 degrees

8 0
3 years ago
You invest a total of $5800 in two investments earning 3.5% and 5.5% simple interest. Your goal is to have a total annual intere
attashe74 [19]
The annual interest that can be earned through investment of an amount at a simple interest can be calculated through the equation,
                I  = P x (i)
where I is interest, P is the principal amount, and i is the decimal equivalent of the interest. 

Let x be the amount deposited with 3.5% interest. With this representation, the amount deposited with 5.5% is 5800 - x. 

The linear equation that would represent the given scenario is,
        x(0.035) + (5800 - x)(0.055) = 283

Simplifying the equation,
 
       0.035x + 319 - 0.055x = 283

Combining like terms,
           -0.02x = -36
Dividing by -0.02,   
               x = 1800
             $5800 - x = $5800 - $1800 = y
                   y = $4000

Hence, the value that should be deposited to the 5.5% is $40000.   
4 0
3 years ago
Peggy bought two racing cars for 5x dollars each and three model motorcycles for 3 eggs dollars each find the amount of money Pe
Sever21 [200]

Answer:

  19x

Step-by-step explanation:

The cost of the racing cars was ...

  2(5x) = 10x

The cost of the model motorcycles was ...

  3(3x) = 9x

Peggy paid in total ...

  10x + 9x = 19x

7 0
3 years ago
In a packet of stickers there are 15 small stars, 7 big stars, 9 small rockets, and 6 big rockets. Kevin is going to choose one
yanalaym [24]

Answer:

31/37

Step-by-step explanation:

There are 15 + 7 + 9 + 6 = 37 total stickers. Of those, 15 + 9 = 24 are small and 15 + 7 = 22 are stars. However, there are 15 small stars so 24 - 15 = 9 of them are only small and 22 - 15 = 7 are only stars. This means that there are 15 + 9 + 7 = 31 stickers that are small or stars, therefore the probability is 31/37.

4 0
2 years ago
What is the equivalent to 16 to the 3/4 root
pshichka [43]
<span>√<span><span>​<span>2x−5</span></span>​<span>​​</span></span></span>=<span>7             3/4 
 rate if that help </span>
8 0
3 years ago
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