Type the missing digit in this number
7,587_64 is divisible by 8.

Answer:

-2p/3+3

Step-by-step explanation:

Answer:

Equations that are written in slope intercept form are the easiest to graph and easiest to write given the proper information. All you need to know is the slope (rate) and the y-intercept. Continue reading for a couple of examples! Write the equation for a line that has a slope of -2 and y-intercept of 5.

Step-by-step explanation:

Equations that are written in slope intercept form are the easiest to graph and easiest to write given the proper information. All you need to know is the slope (rate) and the y-intercept. Continue reading for a couple of examples! Write the equation for a line that has a slope of -2 and y-intercept of 5.

Answer:

The first piece of information you need is the slope number and the second piece of information you need is the y intercept

Answer:

Not a function.

Step-by-step explanation:

The definition of a function specifies that no value of x can be paired with two or more different values of y.  

In the given relation:  {(6, 2), (8, 2), (6, 3), (12, 3)},

The input value of x = 6 has two corresponding output values (y-coordinates): 2 and 3.

Therefore, the given relation is not a function.

Johnny's assumption is that, none of the residents of the town will live up to 231 years.

The parameters are given as:

[tex]\mathbf{P_o = 10000}[/tex]--- the population in 2005

[tex]\mathbf{r = 0.3\%}[/tex] -- the rate at which the population declines

To model a population, we make use of the following exponential function

[tex]\mathbf{P = P_o \times(1 -r)^t}[/tex]

Where P is the current population in t years.

So, we have:

[tex]\mathbf{P = 10000 \times(1 -0.3\%)^t}[/tex]

When the population reaches half of the initial population, then P = 5000.

So, we have:

[tex]\mathbf{5000 = 10000 \times(1 -0.3\%)^t}[/tex]

Divide both sides by 10000

[tex]\mathbf{0.5 = (1 -0.3\%)^t}[/tex]

[tex]\mathbf{0.5 = (0.997)^t}[/tex]

Take logarithm of both sides

[tex]\mathbf{log(0.5) = log(0.997)^t}[/tex]

Rewrite the equation as

[tex]\mathbf{log(0.5) = tlog(0.997)}[/tex]

Make t the subject

[tex]\mathbf{t = \frac{log(0.5)}{log(0.997)}}[/tex]

[tex]\mathbf{t = 231}[/tex]

This means that the population will halve its initial population in 231 years.

Johnny's assumption is that, none of the residents of the town will live up to 231 years.

Read more about population functions at:

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Answer:

because you are good with math

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Let the number be y

-1/2 × y = -20

y = -20 ÷ -1/2

y = 20 × 2

y = 40

By definition of inverse function,

[tex]F\left(F^{-1}(x)\right) = x[/tex]

so that

[tex]5F^{-1}(x) - 6 = x[/tex]

[tex]5F^{-1}(x) = x + 6[/tex]

[tex]F^{-1}(x) = \dfrac{x + 6}5[/tex]

Similarly,

[tex]G\left(G^{-1}(x)\right) = G^{-1}(x) - 4 = x \implies G^{-1}(x) = x+4[/tex]

Then the inverse of the composition [tex]F\circ G[/tex] is such that

[tex]\left(F \circ G\right) \left((F \circ G)^{-1}(x)\right) = x[/tex]

By definition of composition,

[tex](F\circ G)(x) = F(G(x))[/tex]

Applying [tex](F\circ G)^{-1}[/tex] to this recovers x, and this involves first inverting F, then G:

[tex](F\circ G)^{-1}(x) = G^{-1}\left(F^{-1}(x)\right)[/tex]

So, we find

[tex](F\circ G)^{-1}(x) = G^{-1}\left(F^{-1}(x)\right) = G^{-1}\left(\dfrac{x+6}5\right) = \dfrac{x+6}5 + 4 = \boxed{\dfrac{x+26}5}[/tex]

Answer:

That person would weigh 14.22 lbs.

Answer:

8

Step-by-step explanation:

25 divided by 2 is 12.5.

100 divided by 12.5 is 8

Answer:

8

Step-by-step explanation:

2 is 25% so, 2 times 2 is 4

4 is 50% so, 2 times 3 is 6

6 is 75% so, 2 times 4 is 8

8 is 100% of the pie

Answer:

Step-by-step explanation:

-24 x 4 = -96

Answer:

432

Step-by-step explanation:

Answer:

432

Step-by-step explanation:

[tex]\frac{(14-3^{2}+1 )^{2} }{1/3.\frac{1}{4} }[/tex]

Now, at first, we solve the numerator:

[tex](14-3^{2}+1 )^{2}[/tex]

=[tex](14-9+1)^{2}[/tex]

=[tex](15-9)^{2}[/tex]

= [tex]6^{2}[/tex]

= 36

Now let's solve the denominator:

1 ÷ 3 ×  [tex]\frac{1}{4}[/tex]

=[tex]\frac{1}{3} . \frac{1}{4}[/tex]

=[tex]\frac{1}{12}[/tex]

Hence,

[tex]\frac{(14-3^{2}+1 )^{2} }{1/3.\frac{1}{4} }[/tex]

=  [tex]\frac{36}{1/12}[/tex]

= 36 x 12

= 432

Answer:

11 days

Step-by-step explanation:

because Nicholas was given a number of cans, which is y, and I need to find the number of days, which is x. To do this, I would substitute 2600 for y, to get 2600 = 235x + 15. Solving for x, I would get x = 11. Thus, it would take 11 days to collect 2600 cans.

Answer:

11 days

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

If you multiple each side by 3 then they will equal the numbers that b has

Z = -2

Y = 5

is your answer

Answer:

ui100

Step-by-step explanation:

125

The temperature of a pan of water on the stove after 5 minutes would be 40°C.

Temperature is the measure of the degree of hotness and coldness which is expressed in different scales.

The temperature of a pan of water increases steadily from 22°C to 100°C at a rate of 8°C per minute.

We need to find the temperature after 5 minutes.

Rate of temperature per minute = 8°C

Rate of temperature after 5 minutes = 8°C × 5

                                                            = 40°C

Therefore, the temperature after 5 minutes would be 40°C.

Learn more about temperature;

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Answer:

64 inches

Step-by-step explanation:

We need to convert feet to inches

5 ft = 5*12

= 60

5ft is 60 in

1 ft = 12 in

Add 60 in & 4 in

= 64 in

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Answer:

64

Step-by-step explanation:

12 inches= 1 foot

5 feet= 60 inches

60+4= 64 inches

Answer:

Author D write 1/16 of the total number of books.

Step-by-step explanation:

Let the total number of books be b.  Then the amounts written by the four authors would be represented by:

(1/4)A

(5/16)A

(3/8)A

( ? )A

Add these together, realizing that the LCD here is 16:

(4/16)A

(5/16)A

(6/16)A

( ? )  A

------------

(15/16)A must then equal the remainder of the work:  (16/16)A

Thus, Author D wrote (1/16)A of the books.  (Note that 4/16 + 5/16 + 6/16 + 1/16 = 1)

Author D write 1/16 of the total number of books.

Answer:

( iii)

a-x/a+x =b

a-x=b(a+x)

a-x=ab+ax

a-ab=ax+x

a-ab=x(a+1)

a-ab/a+1=x(a+1)/a+1

x=a-ab/a+1

x=a(1-b)/a+1

Answer:

for which one all ?

Step-by-step explanation:

because if so lemme know

Answer:

vertical angles are =

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

true

Step-by-step explanation:

sorry that's all i know hehe

Answer:

I dont know if this is right but... i tried XD

Step-by-step explanation:

Angle A is congruent to angle C.

A triangle in geometry is a polygon with three sides and three angles. The sum of the interior angles of a triangle is 180°.

If XYZ is a triangle, it is represented as ΔXYZ

Here, it is given that BD is the perpendicular bisector of AC.

Then by the definition of perpendicular bisector, B is the midpoint of AC.

Consider ΔABD and  ΔCBD

ΔABD and  ΔCBD are right triangles with  ∡ABD =  ∡CBD = 90°.

So,  ∡ABD ≅  ∡CBD   (∵ all right angles are congruent)

Now, by the reflexive property of congruence, every side or angles are congruent to itself.

So BD ≅ BD

Since B is the midpoint of AC, AB = BC.

Hence AB ≅ BC

By SAS theorem, if two sides and an angle of a triangle are congruent to two sides and angles of another triangle, then both triangles are congruent.

Hence ΔABD ≅ ΔCBD

So, Angle A is congruent to angle C.

Hence ∡A ≅ ∡C if BD is perpendicular bisector of AC.

To learn more about congruence of triangles, click:

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#SPJ2

Answer:

103%

Step-by-step explanation:

each little box is 1%

Answer:

(x - 2) / (x - 1)

Step-by-step explanation:

(x - 2)(x + 3) / (x - 1)(x + 3) <-- factor top and bottom

(x - 2) / (x - 1) <-- cancel out x + 3