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3 years ago

Given h(x) = 5x + 3. what is the value of h(-11)

Mathematics

2 answers:

alexira [117]3 years ago

6 0

Answer:

h(-11)=-52

Step-by-step explanation:

Leviafan [203]3 years ago

4 0

Answer:

h(x)=52

Step-by-step explanation:

so x= -11 now plug in for x and solve

5(-11)+3

-55+3= -52

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Step-by-step explanation:

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3 years ago

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Answer:

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2 years ago

Determine the mass of a solid steel ball that has a diameter of 10 cm. The density of pure steel is 8.09 g/cm3

Basile [38]

Answer:

<em>The mass of the steel ball is 4,235.9 gr</em>

Step-by-step explanation:

<u>Density</u>

The density ρ of a substance is a measure of its mass per unit volume:

$\displaystyle \rho=\frac{m}{V}$

If the density and the volume are given, the mass can be calculated by solving the above formula for m:

$m=\rho.V$

We know the density of pure steel ρ=8.09 gr/cm3 and the diameter of a solid steel ball d=10 cm.

We need to calculate the volume of the sphere:

The volume of a sphere of radius r is given by:

$\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3$

The radius is half the diameter: r= 10/2 = 5 cm. Thus:

$\displaystyle V=\frac{4}{3}\cdot \pi\cdot 5^3$

Calculating:

$V=523.6\ cm^3$

The mass is:

$m=8.09 gr/cm^3 \cdot 523.6\ cm^3$

m=4,235.9 gr

The mass of the steel ball is 4,235.9 gr

4 0

3 years ago

Dylan weighs 45 pounds. Use the expression you derived in part I to calculate how much more Bruce weighs than Alan.

boyakko [2]

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3 years ago

Please solve in the image

eimsori [14]

Answer:

$4$

Step-by-step explanation:

The line passes through points $(2,0)\,,\,(0,2)$

Let $(x_1,y_1)=(2,0)\,,\,(x_2,y_2)=(0,2)$

Equation of a line passing through points $(x_1,y_1)\,,\,(x_2,y_2)$ is given by $y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-0=\frac{2-0}{0-2}(x-2)\\y=\frac{2}{-2}(x-2)\\y=-1(x-2)\\y=-x+2$

So,

$f(x)=y=-x+2$

Put $x=-2$

$f(-2)=-(-2)+2=2+2=4$

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3 years ago