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aliya0001 [1]
4 years ago
11

Javier works in a photo lab and needs to make a reduced copy of a photograph that is 8 inches long. The customer wants the copy

to have a length of 4.5 inches. Each time he presses the reduce button on the copier, the copy is reduced by 12%. Javier and his boss had an argument, because Javier claimed that pressing the button 5 times would be enough to fulfill the customer's request. His boss said that pressing the button 5 times would result in a length less than the desired 4.5 inches. Which of the following conclusions can be made? Javier is correct and he should press the button five times Javier's boss is correct and he should press the button five times. Javier is correct and he should not press the button five times. Javier's boss is correct and he should not press the button five times.
Mathematics
1 answer:
Aleksandr [31]4 years ago
5 0
Javier boss is correct and he should not press it 5 times
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In need help in this
Lyrx [107]

Answer:

Vertex form is

a(x - h) {}^{2}  + k = y

where (h,k) is the vertex

So our vertex form is

a(x - 3) {}^{2}  + 5 = y

It passes through (6,0) so we have

a(6 - 3) {}^{2}  + 5 = 0

Solve for a.

a(3) {}^{2}  + 5 = 0

a(9) =  - 5

a =  \frac{ - 5}{9}

So our equation is

-  \frac{5}{9} (x - 3) {}^{2}  + 5

7 0
3 years ago
Which of these values of x is NOT a solution of the equation tanx= 1?
Kobotan [32]

The tangent ratio is an illustration of the trigonometry identity

The value of x that is not a solution of tan(x) = 1 is 3\pi/4

<h3>How to determine the value that is not a solution</h3>

The trigonometry identity is given as:

tan(x) = 1

Next, we test the x values using a calculator.

When x = -7\pi/4, we have:

tan(-7\pi/4) = 1

When x = 3\pi/4, we have:

tan(3\pi/4) = -1

When x = 5\pi/4, we have:

tan(5\pi/4) = 1

When x = \pi/4, we have:

tan(\pi/4) = 1

Hence, the value of x that is not a solution of tan(x) = 1 is 3\pi/4

Read more about trigonometry identity at:

brainly.com/question/7331447

5 0
3 years ago
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive an
maxonik [38]

Answer:

5.0 ft-lbf

Step-by-step explanation:

The force is

F = \dfrac{9}{6^x}

This force is not a constant force. For a non-constant force, the work done, <em>W</em>, is

W = \int\limits^{x_2}_{x_1} {F(x)} \, dx

with x_1 and x_2 the initial and final displacements respectively.

From the question, x_1  =0 and x_2 = 12.

Then

W = \int\limits^{12}_0 {\dfrac{9}{6^x}} \, dx

Evaluating the indefinite integral,

\int\limits \dfrac{9}{6^x} \, dx  =9 \int\limits\!\left(\frac{1}{6}\right)^x \, dx

From the rules of integration,

\int\limits a^x\, dx = \dfrac{a^x}{\ln a}

9 \int\limits \left(\frac{1}{6}\right)^x \, dx = 9\times\dfrac{(1/6)^x}{\ln(1/6)} = -5.0229\left(\dfrac{1}{6}\right)^x

Returning the limits,

\left.-5.0229\left(\dfrac{1}{6}\right)^x\right|^{12}_0 = -5.0229(0.1667^{12} - 0.1667^0) = 5.0229 \approx 5.0 \text{ ft-lbf}

4 0
3 years ago
Need help trying to figure out
docker41 [41]

Answer:

14

Step-by-step explanation:

\frac{18}{45}= \frac{x}{35}

18 x 35= 45x

630=45x

x=14

6 0
4 years ago
Read 2 more answers
What is the value of x in the equation 2x+7=1
Lesechka [4]
First....we need to do inverse operation

Subtract 7 from both sides.

2x+7=1
    -7   -7

2x=-6

Now, we need to divide 2 by both sides to isolate x.

2x=-6
2x/2=-6/2
x=-3

Our final answer is that x= -3
3 0
3 years ago
Read 2 more answers
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