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3 years ago

Which verbal expression best describes the algebraic expression 2x ÷ 4?

Mathematics

1 answer:

I am Lyosha [343]3 years ago

4 0

2 times x divided by 4 hope that helps.

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The graph shows the solution to the initial value problem y'(t)=mt, y(t0)= -4

Charra [1.4K]

$y'(t)=mt
\\
\\ y=\int {mt} \, dt=m \int{t} \,dt=m \frac{t^2}{2} +C \\ \\y= \frac{mt^2}{2}+C$

Now find equation of the graph. It passes through the point (2,3), and intersects y-axis at -2.

$y=at^2+b
\\
\\3=a\times 2^2-2
\\
\\3=4a-2
\\
\\5=4a
\\
\\a= \frac{5}{4} 
\\
\\y=\frac{5}{4} t^2-2 \\ \\y= \frac{m}{2} t^2+C
\\ \\ \frac{m}{2} = \frac{5}{4} 
\\
\\m= \frac{5}{2} 
\\
\\C=-2
\\
\\y(t_0)=-4
\\
\\-4= \frac{5}{4} t_0^2-2
\\
\\ -2= \frac{5}{4} t_0^2
\\
\\ t_0^2=- \frac{8}{5} 
\\
\\t_0=\pm \sqrt{- \frac{8}{5} }$

3 0

3 years ago

Find the volume of the cone. Use 3.14 for π. Round to the nearest tenth.

Leviafan [203]

$Volume\,\,of\,\,cone=1527.1\,\,cm^3$

So, Option C is correct.

Step-by-step explanation:

We need to find Volume of cone.

We are given:

π = 3.14

Length = 27 cm

Diameter = 15 cm

The formula used to find Volume of cone is:

$Volume\,\,of\,\,cone=\frac{1}{3}\pi r^2h$

We are given diameter but we need radius in the formula

So, Radius = Diameter/2 = 15/2 = 7.5 cm

We need to find height of cone.

Using Pythagoras theorem:

$h^2=p^2+b^2\\ (27)^2=p^2+(7.5)^2\\729=p^2+56.25\\p^2=729-56.25\\p^2=672.75\\Taking\,\,square\,\,root:\\p=25.93$

So, Height of cone = p= 25.93

So, r= 7.5 and h= 25.93 and π = 3.14

Putting values in the formula:

$Volume\,\,of\,\,cone=\frac{1}{3}3.14*(7.5)^2*25.93$

$Volume\,\,of\,\,cone=1526.62$

Rounding off to the nearest tenth:

$Volume\,\,of\,\,cone=1527.1\,\,cm^3$

So, Option C is correct.

Keywords: Volume of cone.

Learn more about Volume of cone at:

#learnwithBrainly

6 0

3 years ago

Cally wants to coat her driveway with a winter sealer. Her driveway is 18 feet long and shaped like a trapezoid. At the garage d

stellarik [79]

Answer:

Amount of Winter sealer for 2 coats[in square feet] = 576 square feet

Step-by-step explanation:

Given:

Length of drive way at garage door = 12 feet

Length of drive way at street = 20 feet

Length of total driveway = 18 feet

Find:

Amount of Winter sealer for 2 coats[in square feet]

Computation:

Amount of Winter sealer for 2 coats[in square feet] = 2[Area of trapezoid]

Amount of Winter sealer for 2 coats[in square feet] = 2[(1/2)(Sum of parallel side)(Height)]

Amount of Winter sealer for 2 coats[in square feet] = 2[(1/2)(12 + 20)(18)]

Amount of Winter sealer for 2 coats[in square feet] = 2[(1/2)(32)(18)]

Amount of Winter sealer for 2 coats[in square feet] = 32 x 18

Amount of Winter sealer for 2 coats[in square feet] = 576 square feet

5 0

2 years ago

What is the lcm of 1 and 5

Temka [501]

Answer:

Step-by-step explanation:

6 0

2 years ago

When should the direct pattern be used to communicate negative nows?

DochEvi [55]

If you are referring to news* instead of "nows", the direct pattern should be used when firmness is necessary and the receiver may overlook look it. This provides for a clear explanation and understanding.

3 0

3 years ago