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Citrus2011 [14]
3 years ago
5

What is the shape of the graph of the function? h(x) =2.05*3^x

Mathematics
1 answer:
myrzilka [38]3 years ago
6 0

Answer: A

Step-by-step explanation:

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Find the equation of the line shown
Finger [1]

Answer:

y=x+1

Step-by-step explanation:

As you can see, the slope is clearly 1 and the line starts at (0, 1), which is its y-intercept.

Plug the variables into this formula: y=mx+b, then you will get y=x+1.

3 0
3 years ago
A restaurant has 50 tables. 40% of the tables have 2 chairs at each table. The remaining 60% of the tables have 4 chairs at each
liubo4ka [24]

Answer:

Total number of chairs in the restaurant = 160.

Step-by-step explanation:

Total number of tables in the restaurant = 50

It is given that 40% of the tables have 2 chairs at each table.

40% of 50 = \frac{40}{100} (50)

= 20

So, 20 tables have 2 chairs at each table.

Number of chairs required for 20 tables = 20 × 2 = 40

Remaining 60% of the tables have 4 chairs at each table.

60% of 50 = \frac{60}{100} (50)

= 30

So, 30 tables have 4 chairs at each table.

Number of chairs required for 30 tables = 30 × 4 = 120

Hence, total number of chairs in the restaurant = 40 + 120 = 160.

5 0
3 years ago
The scale on a map is 1 in. :25 mi. Your measure 6.5 in. Between two towns. What is the actual distance?
pshichka [43]

Answer:

162.5mi

Step-by-step explanation:

If the scale of the map is 1in:25mi, and you measure 6.5in between two twoms, then the real distance would be 6.5in*25mi = 162.5mi.

6 0
3 years ago
BRAINLIEST IF CORRECT
Lyrx [107]

Answer:

The price of the cereal boxes

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
I don't know if this is right... please someone help mee
worty [1.4K]
For the first circle, let's use the pythagorean theorem

\bf \textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies c=\sqrt{a^2+b^2}
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
c=\sqrt{8^2+15^2}\implies c=\sqrt{289}\implies c=17

now, it just so happen that the hypotenuse on that triangle, is actually 17, but we used the pythagorean theorem to find it, and the pythagorean theorem only works for right-triangles.

 so if the hypotenuse is actually 17, that means that triangle there is actually a right-triangle, meaning that the radius there, and the outside line there, are both meeting at a right-angle.

when an outside line touches the radius line, and they form a right-angle, the outside line is indeed a tangent line, since the point of tangency is always a right-angle with the radius.



now, let's check for second circle

\bf \textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies c=\sqrt{a^2+b^2}
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
c=\sqrt{11^2+14^2}\implies c=\sqrt{317}\implies c\approx 17.8044938

well, low and behold, we didn't get our hypotenuse as 16 after all, meaning, that triangle is NOT a right-triangle, and that outside line is not touching the radius at a right-angle, therefore is NOT a tangent line.



let's check the third circle

\bf \textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies c=\sqrt{a^2+b^2}
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
c=\sqrt{33^2+56^2}\implies c=\sqrt{4225}\implies c=\stackrel{33+32}{65}

this time, we did get our hypotenuse to 65, the triangle is a right-triangle, so the outside line is indeed a tangent line.
6 0
3 years ago
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