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3 years ago

The function h is defined by h (x) = x^2 +5. Find h (4a). ????

Mathematics

1 answer:

rjkz [21]3 years ago

8 0

Answer:

16a^2+5

Step-by-step explanation:

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What is 2500g converted to kg

Sauron [17]

1000 g = 1 kg
2500 g = 2,5 kg

6 0

3 years ago

What is the surface area of the net? *inches squared*

serious [3.7K]

9514 1404 393

Answer:

75 in^2

Step-by-step explanation:

The central vertical rectangle (including "ears") has dimensions

3 in wide by (9+2+2) = 13 in tall

Its area is

A = LW = (3 in)(13 in) = 39 in^2

The two rectangles either side of that have dimensions 2 in by 9 in. The area of each of them is

A = LW = (2 in)(9 in) = 18 in^2

The total net area is the sum of the areas of the parts:

left rectangle + central rectangle + right rectangle

= 18 in^2 + 39 in^2 + 18 in^2 = 75 in^2 . . . . surface area of the net

3 0

2 years ago

10 of the students in Miss Ransom‘s class play an instrument. These 10 students make up 40% of the class how ,many students are

Mashutka [201]

Answer:

250 students

Step-by-step explanation:

Given data

Let the total number of students be x

Number of students that plays instrument = 10

Hence

40% of x = 10

40/100*x= 100

0.4x=100

x=100/0.4

x= 250

Hence there are 250 students in total

3 0

2 years ago

a spherical balloon is deflated at a rate of 256pi/3 cm^3/sec. at what rate is the radius of the balloon changing when the radiu

Hunter-Best [27]

What you need to look for is $\frac { dr }{ dt }$ when r=8.

Now:

$Volume\quad of\quad a\quad sphere:\\ \\ V=\frac { 4 }{ 3 } \pi { r }^{ 3 }$

$\therefore \quad \frac { dV }{ dr } =\frac { 4 }{ 3 } \pi \cdot 3{ r }^{ 2 }=4\pi { r }^{ 2 }\\ \\ \therefore \quad \frac { dr }{ dV } =\frac { 1 }{ \frac { dV }{ dr } } =\frac { 1 }{ 4\pi { r }^{ 2 } }$

$And:\\ \\ \frac { dV }{ dt } =-\frac { 256\pi }{ 3 } \\ \\ Therefore:\\ \\ \frac { dr }{ dt } =\frac { dr }{ dV } \cdot \frac { dV }{ dt }$

$\\ \\ =\frac { 1 }{ 4\pi { r }^{ 2 } } \cdot -\frac { 256\pi }{ 3 } \\ \\ =-\frac { 256 }{ 12 } \cdot \frac { \pi }{ \pi } \cdot \frac { 1 }{ { r }^{ 2 } }$

$\\ \\ =-\frac { 64 }{ 3{ r }^{ 2 } } \\ \\ When\quad r=8,\\ \\ \frac { dr }{ dt } =-\frac { 64 }{ 3\cdot { 8 }^{ 2 } } =-\frac { 1 }{ 3 } \\ \\ Answer:\quad -\frac { 1 }{ 3 } \quad cm/sec$

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3 years ago

What is the square root of 64

iris [78.8K]

Answer:

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers