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Pachacha [2.7K]

2 years ago

6

Artie uses 1 1/3 yards of rope to make the bottom of his hammock stronger. He also uses 10 inches of rope to make each of 4 sepa

rate sections of the hammock stronger. How much rope, in yards and inches, does Artie use in all?

1 answer:

sertanlavr [38]2 years ago

4 0

Not sure but 41 and a half

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According to a college survey 32% of all students work fulltime. Find the mean for the number of students who work full time in

VLD [36.1K]

Answer:

mean is equal to 5.12

Step-by-step explanation:

<em>We are given that 32% of college students work fulltime. We have to find the mean for the number of student s who are working full time in a sample of 16</em>

success rate, p = 32% = 0.32

Sample size is denoted as n = 16

The forumla of mean is given as

mean = sample size × success rate

mean = n × p

= 16 × 0.32

= 5.12

3 0

2 years ago

Triangle ABC is similar to triangle WYZ.

LenaWriter [7]

Answer:

∠B

∠Y

Step-by-step explanation:

we know that

In the right triangle ABC

----> opposite side to angle B divided by the adjacent side to angle B

substitute the values

Remember that

If two triangles are similar, then the corresponding sides are proportional and the corresponding angles are congruent

so

∠A=∠W

∠B=∠Y

∠C=∠Z

4 0

2 years ago

Find a solution x = x(t) of the equation x′ + 2x = t2 + 4t + 7 in the form of a quadratic function of t, that is, of the form x(

Temka [501]

The particular quadratic solution to the ODE is found as follows:

$x=at^2+bt+c$
$x'=2at+b$

$(2at+b)+2(at^2+bt+c)=t^2+4t+7$
$2at^2+(2a+2b)t+(b+2c)=t^2+4t+7$

$\begin{cases}2a=1\\2(a+b)=4\\b+2c=7\end{cases}\implies a=\dfrac12,b=\dfrac32,c=\dfrac{11}4$

Note that there's also the fundamental solution to account for, which is obtained from the characteristic equation for the ODE:

$x'+2x=0\implies r+2=0\implies r=-2$

so that $x_c=Ce^{-2t}$ is a characteristic solution to the ODE, and the general solution would be

$x=Ce^{-2t}+\dfrac{t^2}2+\dfrac{3t}2+\dfrac{11}4$

4 0

3 years ago

What is the exponential function for:<br><br> x = 0, 1, 2, 3<br><br> f(x) = 0.5, 1, 2, 4

Snowcat [4.5K]

i really dont know but i really need to points please

8 0

2 years ago

find the volume of a right circular cone that has a height of 14.7 ft and a base with a circumference of 13 ft

Doss [256]

Answer:

Volume of the cone =650.06 cubic feet

Step-by-step explanation:

Height of the cone= 14.7 feet

Circumference= 13 feet

Radius = 13/2 = 6.5 feet

Volume of the Cone:

$=\pi r^2\frac{h}{3}$

As, $\pi =\frac{22}{7}=3.14$

Putting the values in the formula:

Volume of the cone is :

$=3.14*(6.5*6.5)*\frac{14.7}{3} \\\\=3.14*(6.5*6.5)*4.9\\\\=3.14*42.25*4.9\\\\=3.14*207.03\\\\=650.06feet^3$

Volume of the cone is 650.06 cubic feet

8 0

3 years ago