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enot [183]
3 years ago
7

The​ U.S.-based motorcycle manufacturer says that it expects to build 139,000 motorcycles this​ year, up from 126, 000 last year

. Find the percent of increase in production
Mathematics
1 answer:
german3 years ago
8 0

The formula is (new-original)/original.

(139,000 - 126,000)/126,000

= 13,000/126,000

= .103

Now, convert the decimal into a percent by moving the decimal two places to the right and including the percent sign.

.103 = 10.3%

Answer: 10.3%


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Stephen is making a map of his neighborhood. He knows the following info: the distance from his home to the park is 10 blocks th
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An architect plans to make a drawing of the room of a house. The segment LM represents the ceiling of the room. He wants to construct a line passing through Q and perpendicular to side LM to represent a wall of the room. He uses a straightedge and compass to complete some steps of the construction, as shown below:
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An airplane pilot is fertilizing a field. The height y in feet of the fertilizer t seconds after it is dropped is modeled by y(t
zheka24 [161]

Answer:

About 360.178 feet

Step-by-step explanation:

So we want the vertical distance between the fertilizer and the ground to be 0.

This going to be about the time the pilot has dropped it

So we first need to find when y is 0.

0=-16t^2-3t+300

We are going to use the quadratic formula to solve for t:

a=-16

b=-3

c=300

The quadratic formula is:

t=\frac{-b \pm \sqrt{b^2-4ac}}{2a}

t=\frac{3 \pm \sqrt{(-3)^2-4(-16)(300)}}{2(-16)}

t=\frac{3 \pm \sqrt{9+19200}}{-32}

t=\frac{3 \pm \sqrt{19209}}{-32}

t=\frac{3+\sqrt{19209}}{-32} \text{ or } \frac{3-\sqrt{19209}}{-32}

t \approx -4.424891774 \text{ or } 4.237391774

So the pilot has released it at about 4.237391774 seconds since the fertilizer has actually hit the ground at roughly this time.

So we want to know the horizontal distance at t=4.237391774:

85t

85(4.237391774)

360.1783008

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7 0
3 years ago
A) Describe the congruence shortcut (postulate/theorem) that could be used to prove that ΔABC≅ΔDEF
bixtya [17]

Answer:

A. By the Side-Side-Side (SSS) Congruence Theorem, ΔABC ≅ ΔDEF.

B. \overline{AB} \cong \overline{DE}

\overline{BC} \cong \overline{EF}

\overline{AC} \cong \overline{DF}

Step-by-step explanation:

a. From the diagram given, it shows that all three sides of ∆ABC are congruent to all the three corresponding sides of ∆DEF.

Therefore, by the Side-Side-Side (SSS) Congruence Theorem, ΔABC ≅ ΔDEF.

b. The sides that are congruent in the ∆s given that applies to the SSS Congruence Theorem are:

\overline{AB} \cong \overline{DE}

\overline{BC} \cong \overline{EF}

\overline{AC} \cong \overline{DF}

6 0
3 years ago
The outcome variable (usually Y) in a regression analysis is called the ________.
matrenka [14]

Answer:

Dependent variable

Step-by-step explanation:

The outcome variable (usually Y) in a regression analysis is called the ________.

c) dependent variable

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X the variable which is input or which is first found out is called independent variable.

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