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Romashka [77]
2 years ago
9

Which conclusions are valid given that ABCD is a parallelogram? Select True or False for each statement.

Mathematics
1 answer:
Burka [1]2 years ago
4 0

it is true not false true

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Three to the sixth power divided by three to the third power
mrs_skeptik [129]

let's first convert this to number form.

3^6 / 3^3= what?

to divide a number with the same base but different exponent, we simply subtract the second exponent by the first exponent.

3^6 / 3^3 = 3^6-3=3^3

3 0
2 years ago
Graph the line with slope -5 and y-intercept 7.
marta [7]

Answer:

start your grap at (0,7) and go up 5 to the right 1 and down 5 to the left 1

3 0
3 years ago
Are the ratios 2:1 and 18:9 equivalent
MrRa [10]

Answer:

Step-by-step explanation:

hello :

the ratios 2:1 and 18:9 are  equivalent because :

2/1 = (2×9)/(1×9)= 18/9

6 0
3 years ago
A bacteria culture starts with 160 bacteria and grows at a rate proportional to its size. After 5 hours there will be 800 bacter
Leona [35]

Answer:

Step-by-step explanation:

Let the rate at which the bacteria grow be represented by the exponential equation

P(t) = P0e^kt

P(t) is the population of the bacteria after time t

P0 is the initial population

k is the constant of variation

t is the time

If the initial Population is 160 bacteria's, them the equation becomes;

P(t) = 160e^kt

b) if After 5 hours there will be 800 bacteria, this means

at t = 5 p(t) = 800

Substitute and get k

800 = 160e^5k

800/160 = e^5k

5 = e^5k

Apply ln to both sides

Ln5 = lne^5k

ln5 = 5k

k = ln5/5

k = 0.3219

Next is to calculate the population after 7hrs i.e at t = 7

P(7) = 160e^0.3219(7)

P(7) = 160e^2.2532

P(7) = 160(9.5181)

P(7) = 1522.9

Hence the population after 7houra will be approximately 1523populations

c) To calculate the time it will take the population to reach 2790

When p(t) = 2790, t = ?

2790 = 160e^0.3219t

2790/160 = e^0.3219t

17.4375 = e^0.3219t

ln17.4375 = lne^0.3219t

2.8587 = 0.3219t

t = 2.8587/0.3219

t = 8.88 hrs

Hence it will take approximately 9hrs for the population to reach 2790

7 0
3 years ago
How to find the point that is equidistant from (5,-5) and (1,1)
Lina20 [59]

Answer:

(3, -2)

Step-by-step explanation:

The <em>midpoint</em> of two points is half-way between the x-values and the y-values.

The formula is

M = ((x₁ + x₂)/2, (y₁ + y₂)/2)

For the points (5,-5) and (1,1),

Half way between the x values is

(x₁ + x₂)/2 = (5 + 1) /2 =  6/2 =  3

Half way between the y values is

(y₁ + y₂)/2= (-5 + 1)/2  = -4/2 = -2

M = (3, -2)

The graph below shows your two points at (5,-5) and (1,1) and the mid-point at (3, -2).

3 0
3 years ago
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