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2 years ago

Write ab in terms of a and b

Mathematics

2 answers:

baherus [9]2 years ago

8 0

Answer:

a multiple b

Step-by-step explanation:

a x b = ab

eg. a = 5 , b = 2

ab = 5x2

adelina 88 [10]2 years ago

8 0

ab in terms of a and b would be a x b, or a multiplied by b.

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Bacteria usually reproduce by a process called binary fission. In this type of reproduction, one bacterium divides to

Fed [463]

Answer:

$\large \boxed{\text{0.0462 min}^{-1}}$

Step-by-step explanation:

One formula for the reproduction of bacteria is

$\dfrac{N}{N_{0}} = e^{kt}$

Data:

N = 2

N₀ = 1

t = 15 min

Calculation:

$\begin{array}{rcl}\dfrac{N}{N_{0}}& =& e^{kt}\\\\\dfrac{2}{1}& = & e^{k\times15 \text{ min}}\\\\2 & = & e^{15k \text{ min}}\\\ln 2 & = & 15k \text{ min}\\k & = & \dfrac{\ln2 }{\text{15 min}}\\\\& = & \textbf{0.0462 min}^{\mathbf{-1}}\\\\\end{array}\\\text{The value of the constant k is $\large \boxed{\textbf{0.0462 min }^{\mathbf{-1}}}$}$

6 0

3 years ago

Given g(x) = −3x + 4

Goshia [24]

Answer:

The average rate of change of g from x = a to x = a + h is -3.

Step-by-step explanation:

We are given the function:

$g(x) = -3x + 4$

And we want to determine its average rate of change of the function for x = a and x = a + h.

To determine the average rate of change, we find the slope of the function between the two points. In other words:

$\displaystyle \text{Avg} = \frac{g(a + h) - g(a) }{(a + h ) - a}$

Simplify:

$\displaystyle \begin{aligned} \text{Avg} &= \frac{g(a + h) - g(a) }{(a + h ) - a} \\ \\ &=\frac{(-3(a+h) + 4) - (-3a+4)}{h} \\ \\ &= \frac{(-3a -3h + 4) + (3a - 4) }{h} \\ \\ &= \frac{-3h}{h} \\ \\ &= -3\end{aligned}$

In conclusion, the average rate of change of g from x = a to x = a + h is -3.

This is the expected result, as function g is linear, so its rate of change would be constant.

3 0

2 years ago

Julie and Eric row their boat (at a constant speed) 55 miles downstream for 5 hours, helped by the

Archy [21]

Answer: C = 3 mph is the rate of the current.

Step-by-step explanation:

Hey there!

You can use the distance formula (d = rt) to solve this problem.

Downstream trip: d = 55 miles, t = 5 hours, and r = R + C

R + C is their rowing speed (R) plus the rate of the current (C).

Upstream trip: d = 55 miles, t = 11 hours, and r = R - C

R - C is their rowing speed (R) minus the rate of the current (C).

Downstream: 55 mi. = (R + C)5 hrs. Divide both sides by 5: R + C = 11

Upstream: 55 mi. = (R - C)11 hrs. Divide both sides by 11: R - C = 5

Calculations

R + C = 11 Subtract C from both sides.

R = 11 - C Substitute this into: R - C = 5

(11 - C) - C = 5 Simplify and solve for C

11 - 2C = 5 Add 2C to both sides.

11 = 2C + 5 Subtract 5 from both sides.

6 = 2C Divide both sides by 2

C = 3 mph is the rate of the current.

~I hope I helped you! :)~

5 0

2 years ago

in a particular class of 23 students, 18 are men. what fraction of the students in the class are men?k

Mademuasel [1]

It gave you the answer for men they said their were 18 men out of 23 so are they asking for women or actually men cause if it was that it would be 18/23

7 0

2 years ago

PLEASE ANSWER FAST IM FAILING MATH!!!

posledela

Answer:

Step-by-step explanation:

From the figure attached,

Point B has been dilated to form point B'.

B(3, 1) → B'(6, 2)

→ B'[(2 × 3), (2 × 1)]

Since rule for the dilation of a point (x, y) by a factor of k is,

B(x, y) → B'(kx, ky)

By comparing the coordinates k = 2 is the scale factor by which the point B has been dilated about the origin.

Therefore, other vertices of the quadrilateral will be,

A(-2, 3) → A'(-4, 6)

C(1, -1) → C'(2, -2)

D(-3, -2) → D'(-6, -4)

4 0

2 years ago