A rectangular table top measures 8/9 of a meter long by 2/3 of a meter wide. what is its area

Answers

Answer 1

Answer: Area= l×w
= 8/9 × 2/3
=16/27
area = 16/27 m²
hope i hel[ped

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What is the first derivative of r with respect to t (i.e., differentiate r with respect to t)? r = 5/(t2)Note: Use ^ to show exponents in your answer, so for example x2 = x^2. Also, type your equation answer without additional spaces.

Answers

Answer:

The first derivative of $r(t) = 5\cdot t^(-2)$ (r(t)=5*t^{-2}) with respect to t is $r'(t) = -10\cdot t^(-3)$ (r'(t) = -10*t^{-3}).

Step-by-step explanation:

Let be $r(t) = (5)/(t^(2))$ , which can be rewritten as $r(t) = 5\cdot t^(-2)$ . The rule of differentiation for a potential function multiplied by a constant is:

$(d)/(dt)(c \cdot t^(n)) = n\cdot c \cdot t^(n-1)$ , $\forall \,n\neq 0$

Then,

$r'(t) = (-2)\cdot 5\cdot t^(-3)$

$r'(t) = -10\cdot t^(-3)$ (r'(t) = -10*t^{-3})

The first derivative of $r(t) = 5\cdot t^(-2)$ (r(t)=5*t^{-2}) with respect to t is $r'(t) = -10\cdot t^(-3)$ (r'(t) = -10*t^{-3}).

Annabelle went rock climbing. The below graph is a model of her climbing astime passes.
Answer the following questions about the graph:
a. What are the labels on each axis?
b. What is happening for the first 5 minutes of Annabelle's climbing session?
What is your reason for saying that?
c. When was Annabelle climbing fastest? How do you know?
d. What is happening from 5 to 7 minutes? What is your reason for saying
that?

Answers

D. she’s at a constant rate. i say that because there’s a straight line indicating she’s moving at the same pace/speed.

Rounded to the nearest hundred thousandth, the number 0.00004327 is 0.00004

Answers

Answer:

000000.10

Step-by-step explanation:

65% of 152 estimated

Answers

65% × 152 = 98/4/5

anything to ask please pm me

What is an equation in slope intercept form for the line perpendicular to y = - 2x + 5that contains (-8, 1)?
1
A.O
y - 8 = 2 (x + 1)
B. O y=-2x - 1
C.O. 1
=
0:0 x = žy + 14

Answers

Answer:

$\displaystyle y =(1)/(2)x+5$

Step-by-step explanation:

Equation of the line

The slope-intercept form of a line is given by:

$y=mx+b$

Being:

m = the slope of the line

b = the y-intercept

We can also use the point-slope form of the line:

$y - k=m(x-h)$

Being:

(h,k) = A point that belongs to the line

Two lines of slopes m1 and m2 are perpendicular if:

$m_1.m_2=-1$

We are given the line:

$y=-2x+5$

Whose slope is m1=-2

Thus, the perpendicular line has a slope of:

$\displaystyle m_2=-(1)/(m_1)$

$\displaystyle m_2=-(1)/(-2)$

$\displaystyle m_2=(1)/(2)$

The required line contains the point (-8,1), thus the equation is:

$\displaystyle y - 1=(1)/(2)(x+8)$

Removing the parentheses:

$\displaystyle y - 1=(1)/(2)x+(1)/(2)\cdot 8$

Adding 1:

$\displaystyle y =(1)/(2)x+(1)/(2)\cdot 8+1$

Operating:

$\displaystyle y =(1)/(2)x+4+1$

$\mathbf{\displaystyle y =(1)/(2)x+5}$

a lab technician mixed a 690 ml solution of water and alcohol, if 3% of the solution is alcohol, how many milliliters of alcohol were used and how many milliliters of water were used?

Answers

To get the milliliters of alcohol used, we must multiply 690 by 0.03. If we do this, we will get 20.70, which means that 20.70 milliliters of alcohol were used. On the other hand, we can get the milliliters of water used through two ways: the first one is by simply subtracting 20.70 from 690, which will give us the answer 669.30. Another would be by multiplying 690 by 0.97, which will also yield the answer 669.30. The number of milliliters of water used was 669.30.

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The manager of a sawmill wants to find out what percentage of the boards that the mill produced are defective.Which sampling methods are likely to be biased? Choose all answers that are correct. A. The manager selects 20 boards at random each day for 5 days and examines them. B. The manager sends an email to 20 customers who buy lumber from the mill, asking each how many of the boards they bought the past week were defective. Results from the first 5 customers to respond are tallied. C. On 1 day, an hour after the sawmill begins production, 30 boards in a row are selected and examined. D. Every 40th board produced over the course of 1 week is selected and examined.