Use prime factorazations of 24 and 28 to find the lcm

What is the missing reason?

stealth61 [152]

The answer to this questions is letter B

3 0

3 years ago

Read 2 more answers

Point A has coordinates (-5, 3). If point (1,6) is

gtnhenbr [62]

Answer:

$(3, 7)$

Step-by-step explanation:

(4/3)P -(4/3)A + A = B . . . . . . add A

(4P -A)/3 = B . . . . . . . . . . . . . simplify

Then the coordinates of point B are ...

B = (4(1, 6) -(-5, 3))/3 = (9, 21)/3

B = (3, 7)

8 0

3 years ago

Write an equation for the line perpendicular to the line y= -2/3+7 which passes through the point (-5,6)

zysi [14]

Y = -2/3x + 7.....the slope here is -2/3. A perpendicular line will have a negative reciprocal slope. All tht means is take the original slope, flip it, and change the sign. So we take -2/3....flip it making it -3/2.....change the sign making it 3/2. So ur perpendicular line will have a slope of 3/2.

y = mx + b
slope(m) = 3/2
(-5,6)....x = -5 and y = 6
now sub and find b, the y int
6 = 3/2(-5) + b
6 = -15/2 + b
6 + 15/2 = b
12/2 + 15/2 = b
27/2 = b
so ur perpendicular equation is : y = 3/2x + 27/2 <==

8 0

3 years ago

be rectangular prism and rectangular pyramid have the same volume. determine the value of x, the height of the pyramid.

Marina CMI [18]

ANSWER

$x= 9 \: in$

EXPLANATION

The volume of a rectangular prism is given by the formula,

$V = l \times b \times h$
We substitute the dimensions to obtain,

$V = 6 \times 3 \times 12 \: {in}^{3}$

The volume of the rectangular pyramid is,

$V = \frac{1}{3} \times 6 \times 12 \times x \: {in}^{3}$

Equating the two volumes gives,

$\frac{1}{3} \times 6 \times 12 \times x = 6 \times 3 \times 12$

We divide through by 6×12 to get,

$\frac{x}{3}=3$

We solve for x to obtain,

$x = 3 \times 3$

$x = 9 \: in$

7 0

3 years ago

The number of bacteria after t hours is given by N(t)=250 e^0.15t a) Find the initial number of bacteria and the rate of growth

Art [367]

Answer:

a) $N_0=250\; k=0.15$

b) 334,858 bacteria

c) 4.67 hours

d) 2 hours

Step-by-step explanation:

a) Initial number of bacteria is the coefficient, that is, 250. And the growth rate is the coefficient besides “t”: 0.15. It’s rate of growth because of its positive sign; when it’s negative, it’s taken as rate of decay.

Another way to see that is the following:

Initial number of bacteria is N(0), which implies $t=0$ . And $N(0)=N_0$ . The process is:

$N(t)=250 e^{0.15t}\\N(0)=250 e^{0.15(0)}\\ N_0=250e^{0}\\N_0=250\cdot1\\ N_0=250$

b) After 2 days means $t=48$ . So, we just replace and operate:

$N(t)=250 e^{0.15t}\\N(48)=250 e^{0.15(48)}\\ N(48)=250e^{7.2}\\N(48)=334,858\;\text{bacteria}$

c) $N(t_1)=4000; \;t_1=?$

$N(t)=250 e^{0.15t}\\4000=250 e^{0.15t_1}\\ \dfrac{4000}{250}= e^{0.15t_1}\\16= e^{0.15t_1}\\ \ln{16}= \ln{e^{0.15t_1}} \\ \ln{16}=0.15t_1 \\ \dfrac{\ln{16}}{0.15}=t_1=4.67\approx 5\;h$

d) $t_2=?\; (N_0→3N_0 \Longrightarrow 250 → 3\cdot250 =750)$

$N(t)=250 e^{0.15t}\\ 750=250 e^{0.15t_2} \\ \ln{3} =\ln{e^{0.15t_2}}\\ t_2=\dfrac{\ln{3}}{0.15} = 2.99 \approx 3\;h$

6 0

3 years ago