All categories

3 years ago

How many teaspoons equal 3 cups?

Mathematics

2 answers:

spin [16.1K]3 years ago

5 0

Answer:

Step-by-step explanation:

Salsk061 [2.6K]3 years ago

4 0

Answer:

144

Step-by-step explanation:

multiply the volume by 48

48 x 3=144

You might be interested in

Select all the expressions that equal.. *see picture for problem*

kupik [55]

Answer:

Step-by-step explanation:

oknjbgfkdfrgn jnfbfl

7 0

3 years ago

The negative effects of a recession would be reduced by which fiscal policy decision?

Elis [28]

Answer:

The negative effects of a recession would be reduced by which fiscal policy decision?

A. incurring a budget deficit which is used to retire debt held by the public

<h3>B. incurring a budget surplus and allowing that surplus to accumulate as idle Treasury balances</h3>

C. incurring a budget surplus, which is used to retire debt held by commercial banks

D. incurring a budget deficit by borrowing from the public and increasing expenditures

Step-by-step explanation:

#CarryOnLearning

3 0

3 years ago

A rock thrown vertically upward from the surface of the moon at a velocity of 36m/sec reaches a height of s = 36t - 0.8 t^2 met

Verdich [7]

Answer:

a. The rock's velocity is $v(t)=36-1.6t \:{(m/s)}$ and the acceleration is $a(t)=-1.6 \:{(m/s^2)}$

b. It takes 22.5 seconds to reach the highest point.

c. The rock goes up to 405 m.

d. It reach half its maximum height when time is 6.59 s or 38.41 s.

e. The rock is aloft for 45 seconds.

Step-by-step explanation:

Velocity is defined as the rate of change of position or the rate of displacement. $v(t)=\frac{ds}{dt}$
Acceleration is defined as the rate of change of velocity. $a(t)=\frac{dv}{dt}$

The rock's velocity is the derivative of the height function $s(t) = 36t - 0.8 t^2$

$v(t)=\frac{d}{dt}(36t - 0.8 t^2) \\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\v(t)=\frac{d}{dt}\left(36t\right)-\frac{d}{dt}\left(0.8t^2\right)\\\\v(t)=36-1.6t$

The rock's acceleration is the derivative of the velocity function $v(t)=36-1.6t$

$a(t)=\frac{d}{dt}(36-1.6t)\\\\a(t)=-1.6$

b. The rock will reach its highest point when the velocity becomes zero.

$v(t)=36-1.6t=0\\36\cdot \:10-1.6t\cdot \:10=0\cdot \:10\\360-16t=0\\360-16t-360=0-360\\-16t=-360\\t=\frac{45}{2}=22.5$

It takes 22.5 seconds to reach the highest point.

c. The rock reach its highest point when t = 22.5 s

Thus

$s(22.5) = 36(22.5) - 0.8 (22.5)^2\\s(22.5) =405$

So the rock goes up to 405 m.

d. The maximum height is 405 m. So the half of its maximum height = $\frac{405}{2} =202.5 \:m$

To find the time it reach half its maximum height, we need to solve

$36t - 0.8 t^2=202.5\\36t\cdot \:10-0.8t^2\cdot \:10=202.5\cdot \:10\\360t-8t^2=2025\\360t-8t^2-2025=2025-2025\\-8t^2+360t-2025=0$

For a quadratic equation of the form $ax^2+bx+c=0$ the solutions are

$x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\mathrm{For\:}\quad a=-8,\:b=360,\:c=-2025:\\\\t=\frac{-360+\sqrt{360^2-4\left(-8\right)\left(-2025\right)}}{2\left(-8\right)}=\frac{45\left(2-\sqrt{2}\right)}{4}\approx 6.59\\\\t=\frac{-360-\sqrt{360^2-4\left(-8\right)\left(-2025\right)}}{2\left(-8\right)}=\frac{45\left(2+\sqrt{2}\right)}{4}\approx 38.41$

It reach half its maximum height when time is 6.59 s or 38.41 s.

e. It is aloft until s(t) = 0 again

$36t - 0.8 t^2=0\\\\\mathrm{Factor\:}36t-0.8t^2\rightarrow -t\left(0.8t-36\right)\\\\\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}\\\\t=0,\:t=45$

The rock is aloft for 45 seconds.

5 0

4 years ago

Find the measure of <1

Dmitry [639]

Consider the triangle (in which angle4 is present)

by angle sum property,

20 + 40 + angle4 = 180

60 + angle4 = 180

angle4 = 180 - 60

angle4 = 120

Also,

angle2 = 120 (vertically opposite angles)

angle1 + angle2 = 180 (linear pair)

angle1 + 120 = 180

angle1 = 180 - 120

angle1 = 60

3 0

3 years ago

If you are adding two fractions that are both greater than 1/2, what must be true about the sum? Give three examples to support

slavikrds [6]

Answer:

The sum must be greater than 1

Step-by-step explanation:

Two fractions that are greater than 1/2 let's say

Example 1

3/4 and 7/8, the sum will be

3/4+7/8 with LCM of denominator as 8 sum= $\frac {(3*2)+7}{8}=\frac {13}{8}=1\frac {5}{8}$ which is more than 1

Example 2

6/9 and 5/8 with the LCM of denominator as 72, the sum= $\frac {(6*8)+(5*9)}{72}=\frac {93}{72}=1\frac {7}{24}$ which is greater than 1

Example 3

8/9 and 7/9 with the LCM of denominator as 9, the sum= $\frac {8+7}{9}=\frac {15}{9}=1\frac {2}{3}$ which is greater than 1

3 0

4 years ago