All categories

2 years ago

Can you help with this? Length x width x height

Mathematics

2 answers:

lyudmila [28]2 years ago

6 0

Answer:

So first you want to multiply the first two fractions (on the first shape) 5/8 x 6/8= 15/32 and then you multiply that by your second number which

is 5/8. 5/8 x 15/32 is 75/256in^3

(And on the second shape) 4/5 x 4/5 is 16/25. 16/25 x 4/5 which is 64/125in^3

Gemiola [76]2 years ago

5 0

Answer:

75/256 in³ < 64/125 in³

Step-by-step explanation:

First, find the volumes of the two 3-D figures:

For Figure 1:

Using the volume formula:

V = l × w × h

= 6/8 × 5/8 × 5/8

= (6/8 × 5/8) × 5/8

= 30/64 × 5/8

V = 150/512

Simplify:

V = 75/256

So Figure 1's volume is 75/256 in³.

For Figure 2:

V = l × w × h

= 4/5 × 4/5 × 4/5

= (4/5 × 4/5) × 4/5

= 16/25 × 4/5

= 64/125

So Figure 2's volume is 64/125 in³.

Now, comparing the two volumes:

You can cross multiply the fractions to figure out which fraction is greater:

Figure 1 Figure 2

75 = 64

256 125

75 (125) = 256 (64)

9375 = 16384

So Figure 2 has the greater volume.

Your final result should be:

75/256 in³ < 64/125 in³

You might be interested in

Which of the following tables is a relation that represents a function?

uysha [10]

The first one is not a function due to the rule that there can not be more than one x, such as there is a repeated number 1 , 2 , 1 , 4 There should not be two
x = 1 terms.

Same the same rule applies to the second option as well as the last.

Your answer is C. or the third option
x= 6, 5, 4, 1
y=6, 4, 6, 2

Hope this Helps

3 0

2 years ago

Use the fundamental theorem of calculus to find the area of the region between the graph of the function x^5 + 8x^4 + 2x^2 + 5x

BaLLatris [955]

Answer:

The area of the region is 25,351 $units^2$ .

Step-by-step explanation:

The Fundamental Theorem of Calculus: if $f$ is a continuous function on $[a,b]$ , then

$\int_{a}^{b} f(x)dx = F(b) - F(a) = F(x) | {_a^b}$

where $F$ is an antiderivative of $f$ .

A function $F$ is an antiderivative of the function $f$ if

$F^{'}(x)=f(x)$

The theorem relates differential and integral calculus, and tells us how we can find the area under a curve using antidifferentiation.

To find the area of the region between the graph of the function $x^5 + 8x^4 + 2x^2 + 5x + 15$ and the x-axis on the interval [-6, 6] you must:

Apply the Fundamental Theorem of Calculus

$\int _{-6}^6(x^5+8x^4+2x^2+5x+15)dx$

$\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx\\\\\int _{-6}^6x^5dx+\int _{-6}^68x^4dx+\int _{-6}^62x^2dx+\int _{-6}^65xdx+\int _{-6}^615dx$

$\int _{-6}^6x^5dx=0\\\\\int _{-6}^68x^4dx=\frac{124416}{5}\\\\\int _{-6}^62x^2dx=288\\\\\int _{-6}^65xdx=0\\\\\int _{-6}^615dx=180\\\\0+\frac{124416}{5}+288+0+18\\\\\frac{126756}{5}\approx 25351.2$

3 0

2 years ago

True or False? A secant is a line or segment that passes through a point on the circle and the center of the circle.

Musya8 [376]

Thr answer is False
That line is called diameter

6 0

3 years ago

Read 2 more answers

In 2003 there were 1078 JC Penney stores and in 2007 there were 1067 stores.

Tamiku [17]

Answer:

a) $f(s)=\frac{-11}{3}s+\frac{3245}{3}$ $f(1)=1078 stores$ b) 2012, 1049 stores. 2014, 1041 stores. c) Yes it is a downsizing company.

Step-by-step explanation:

s=year | f(s) = number of stores per year

1 | 1078

4| 1067

$m=\frac{1067-1078}{4-1}\Rightarrow m=\frac{-11}{3}\\1078=-\frac{11}{3}*1+b\Rightarrow b=\frac{3245}{3}\\f(s)=\frac{-11}{3}s+\frac{3245}{3}$

s=1 in 2003

$s=1 year =2003\\ Testing\\f(1)=\frac{-11}{3}(1)+\frac{3245}{3}=\frac{3234}{3}=1078\\ f(1)=1078$

b) For 2012, s=9. For 2014, s=11

$\\f(s)=\frac{-11}{3}s+\frac{3245}{3}\\ \\f(9)=\frac{-11}{3}(9)+\frac{3245}{3}\cong1049\\\\f(11)=\frac{-11}{3}(11)+\frac{3245}{3}\cong=1041$

c) In deed. Since the function shows a decreasing amount of JC Penney stores. Maybe this is a downsizing from this company, progressively closing some stores.

4 0

3 years ago

Which mathematical term describes both 19x and 4x in the expression 19x+4x?

Phoenix [80]

Answer:

The answers is coefficient

Step-by-step explanation:

they both have a variable attached which makes them both coefficients

8 0

2 years ago