All categories

2 years ago

Identify the cavity that develops entirely from the mesoderm.

Mathematics

1 answer:

frozen [14]2 years ago

4 0

The answer is “coelom”

Explanation:

The coelom is defined as a main body cavity that is developed entirely from the mesoderm.

You might be interested in

A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 ki

shepuryov [24]

Answer

given,

mean = 12 Kg

standard deviation = 0.5 Kg

assume the observed statistic is = 11.1

now, $\bar{X}=11.1 , \mu = 12 , \sigma = 0.5$

assuming the number of sample = 4

n = 4

Hypothesis test:

H₀ : μ≥ 12

Ha : μ < 12

now,

significant level α = 0.05

$z* = \dfrac{\bar{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

$z* = \dfrac{11.1-12}{\dfrac{0.5}{\sqrt{4}}}$

z* = -3.60

Test statistics, Z* = -3.60

P-value

P(Z<-3.60) = 0.002 (from z- table)

P- value = 0.002

now,

reject the value of H₀ when P-value < α

0.002 < 0.05

since, it is less P-value < α , we have to reject the null hypothesis

5 0

3 years ago

If the simple interest on $5,000 for 4 years is $1,600, then what is the interest rate?

matrenka [14]

Answer:

0.08, or 8%

Step-by-step explanation:

The appropriate formula is i = p*r*t, where p is the principal, r is the interest rate as a decimal fraction, and t is the time in years.

We want to calculate r when i, p and t are known.

Solving i = p*r*t for r, we get r = ------------

p*t

The interest rate in this case is

$1600

r = ---------------- = 0.08, or 8%

$5000*4

8 0

2 years ago

Find the value of each variable. Write an<br> equation then solve showing ALL the work<br> A2x+10°

AveGali [126]

Answer:

x = 25

Step-by-step explanation:

The three straight lines in the sides of the triangle means that ALL 3 SIDES ARE EQUAL.

This is an equilateral triangle. So all 3 angles are equal.

We know sum of 3 angles in a triangle is 180. Since 3 of the angles are equal, each angle is:

180/3 = 60

The top angle is given as "2x + 10", thus we can say "2x + 10" is equal to 60 degrees. Now we equate and solve for x:

$2x+10=60\\2x=60-10\\2x=50\\x=\frac{50}{2}\\x=25$

The value of x is 25

4 0

3 years ago

(5/4 × 54/48) + (5/4 × 105/75)

Kitty [74]

101/32 or 3 5/32 or 3.15625

(5/4 × 54/48) = 45/32

(5/4 × 105/75) = 7/4

7/4 x 8 top & bottom =56/32

45+56=101

Hope this helps!

8 0

2 years ago

Water is added to a cylindrical tank of radius 5 m and height of 10 m at a rate of 100 L/min. Find the rate of change of the wat

nirvana33 [79]

Answer:

$V = \pi r^2 h$

For this case we know that $r=5m$ represent the radius, $h = 10m$ the height and the rate given is:

$\frac{dV}{dt}= \frac{100 L}{min}$

$Q = 100 \frac{L}{min} *\frac{1m^3}{1000L}= 0.1 \frac{m^3}{min}$

And replacing we got:

$\frac{dh}{dt}=\frac{0.1 m^3/min}{\pi (5m)^2}= 0.0012732 \frac{m}{min}$

And that represent $0.127 \frac{cm}{min}$

Step-by-step explanation:

For a tank similar to a cylinder the volume is given by:

$V = \pi r^2 h$

For this case we know that $r=5m$ represent the radius, $h = 10m$ the height and the rate given is:

$\frac{dV}{dt}= \frac{100 L}{min}$

For this case we want to find the rate of change of the water level when h =6m so then we can derivate the formula for the volume and we got:

$\frac{dV}{dt}= \pi r^2 \frac{dh}{dt}$

And solving for $\frac{dh}{dt}$ we got:

$\frac{dh}{dt}= \frac{\frac{dV}{dt}}{\pi r^2}$

We need to convert the rate given into m^3/min and we got:

$Q = 100 \frac{L}{min} *\frac{1m^3}{1000L}= 0.1 \frac{m^3}{min}$

And replacing we got:

$\frac{dh}{dt}=\frac{0.1 m^3/min}{\pi (5m)^2}= 0.0012732 \frac{m}{min}$

And that represent $0.127 \frac{cm}{min}$

5 0

3 years ago