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Katarina [22]
3 years ago
10

Today Christina is carrying her history textbook and her lunch in her backpack. If the history textbook weighs 1/10 of a pound a

nd her lunch weighs 4 1/10 pounds, how much weight is in Christina's backpack?​
Mathematics
2 answers:
Eduardwww [97]3 years ago
7 0

Answer:

42/10 or 4 2/10 is the answer

Step-by-step explanation:

Hope this Helps! :)

emmainna [20.7K]3 years ago
3 0

Answer:

5/10 pounds just add 1 + 4 ( i think )

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Consider the following functions
TiliK225 [7]

Step-by-step explanation:

g(5)=3(5)-11

=15-11

=4

f(g(5))=2(4)²+4(4)+10

=2(16)+16+10

=32+26

=58

5 0
3 years ago
Find the exact length of the curve. x=et+e−t, y=5−2t, 0≤t≤2 For a curve given by parametric equations x=f(t) and y=g(t), arc len
Rama09 [41]

The length of a curve <em>C</em> parameterized by a vector function <em>r</em><em>(t)</em> = <em>x(t)</em> i + <em>y(t)</em> j over an interval <em>a</em> ≤ <em>t</em> ≤ <em>b</em> is

\displaystyle\int_C\mathrm ds = \int_a^b \sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2} \,\mathrm dt

In this case, we have

<em>x(t)</em> = exp(<em>t</em> ) + exp(-<em>t</em> )   ==>   d<em>x</em>/d<em>t</em> = exp(<em>t</em> ) - exp(-<em>t</em> )

<em>y(t)</em> = 5 - 2<em>t</em>   ==>   d<em>y</em>/d<em>t</em> = -2

and [<em>a</em>, <em>b</em>] = [0, 2]. The length of the curve is then

\displaystyle\int_0^2 \sqrt{\left(e^t-e^{-t}\right)^2+(-2)^2} \,\mathrm dt = \int_0^2 \sqrt{e^{2t}-2+e^{-2t}+4}\,\mathrm dt

=\displaystyle\int_0^2 \sqrt{e^{2t}+2+e^{-2t}} \,\mathrm dt

=\displaystyle\int_0^2\sqrt{\left(e^t+e^{-t}\right)^2} \,\mathrm dt

=\displaystyle\int_0^2\left(e^t+e^{-t}\right)\,\mathrm dt

=\left(e^t-e^{-t}\right)\bigg|_0^2 = \left(e^2-e^{-2}\right)-\left(e^0-e^{-0}\right) = \boxed{e^2-\frac1{e^2}}

5 0
3 years ago
Write the standard form of the equation of a line if the point on the line nearest to the origin is at (6, 8).
Alchen [17]

Answer:

\large\boxed{y=\dfrac{4}{3}x}

Step-by-step explanation:

The line passes through the origin has an equation y = mx

m - slope

The formula of a slope of a line passes through the origin

and a point (x, y):

m=\dfrac{y}{x}

We have the point (6, 8). Substitute:

m=\dfrac{8}{6}=\dfrac{8:2}{6:2}=\dfrac{4}{3}

Finally:

y=\dfrac{4}{3}x

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3 years ago
If sarah works 40 hours a week and earns 660 dollars per payroll. how much does she make an hour
Anika [276]

Answer:16.50

Step-by-step explanation: hope it helps

5 0
2 years ago
Read 2 more answers
Which is the sixth sequence: an=1/125 (5n-1)
Volgvan
1. Distribute
1/125 x 5n - 1/125
2. Simplify 1/125 x 5n to n/25
n/25 - 1/125
5 0
3 years ago
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