In Paige’s class, 13 of the 20 students were born in Texas. Based in the information,
if there are 800 students at the school, how many students could be expected to have
been born in Texas?

Answer:

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[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]=\frac{2-1}{0-3}[/tex]

[tex]=1/-3[/tex]

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-1=-1/3(x-3)[/tex]

[tex]y-1=-1/3x+1[/tex]

[tex]y=-1/3x+2[/tex]

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hope it helps...

have a great day!!

Answer:

[tex]area = base \times height \\ = 10.5 \times 6 \\ = 63 \: {ft}^{2} [/tex]

Answer:

c > 8

where c = cats

Step-by-step explanation:

Note that

> means greater than

< means less than

≥ means greater than or equal to  

≤ less than or equal to  

Answer:

Step-by-step explanation:

Basically you turn 1/2 into fourths,  1/2 = 2/4

After that you would multiply 4 2/4 x 2 1/4

Then you get 10.125 turned into a fraction is 81/8

Answer:

area of the circle,

radius=10m

diameter=20m

πr²

3.14×100

314m²

area of the triangle=1/2×20×10

=100

area of the shaded area=314-100=214 m²

the answer is option H

Answer:

26.01

Step-by-step explanation:

X=-1

no problem, lllllllllllollllllllll

Answer:

d

Step-by-step explanation:

d

Answer:

Step-by-step explanation:

Let the total Cost = y

Let the monthly payment number = x

Let the y intercept = 64

y = 26x + 64

610 = 26x + 64                  Subtract 64 from each side

-64             - 64

546  = 26x

26x = 546                         Divide by 26

x = 546/26

x = 21 months

Answer:

In the first 3.5 hours, the family travelled 175 miles.

Step-by-step explanation:

We have the table:

time (hours)              distance ( miles)

      0                                   0

      1                                   50

       2                                 100

      3                                  150

      4                                 200

      5                                 250

      6                                 300

      7                                 350

      8                                 400

      9                                 450

This seems like a linear relationship, let's write the general line:

y = a*x + b

That represents this situation, y is the distance in miles and x is the time in hours.

In the line equation, a represents the slope and b the y-intercept.

And if the line passes through the points (x₁, y₁) and (x₂, y₂), then the slope of the line is:

a = (y₂ - y₁)/(x₂ - x₁)

In this case we have a lot of points for the line, we can use any pair we want (we actually should use a few different pairs to see that the slope is always the same)

So if we use the first two (0, 0) and (1, 50)

the slope is:

a = (50 - 0)/(1 - 0) = 50

Now, if we use the third and fifth points (4, 200) and (5, 250) now the slope is:

a = (250 - 200)/(5 - 4) = 50/1 = 50

So we can conclude that the slope of the equation is a = 50

Then the equation is something like:

y = 50*x + b

To find the value of b, we can use any of the points of the line, for example (0, 0)

This means that when x = 0, y also must be 0, then:

0 = 50*0 + b

0 = b

Then the equation is:

y = 50*x

Now, to answer how many miles the family travelled in the first 3.5 hours, we just need to replace x by 3.5 in the equation:

y = 50*3.5 = 175

In the first 3.5 hours, the family travelled 175 miles.

Answer:

[tex]p(t) = \frac{9t^{3} + 729t - 1}{e^{t}(t^{2} + 81) }[/tex]

g(t) = 0

And

The differential equation [tex]9ty + e^{t}y' = \frac{y}{t^{2} + 81 }[/tex] is  linear and homogeneous

Step-by-step explanation:

Given that,

The differential equation is -

[tex]9ty + e^{t}y' = \frac{y}{t^{2} + 81 }[/tex]

[tex]e^{t}y' + (9t - \frac{1}{t^{2} + 81 } )y = 0\\e^{t}y' + (\frac{9t(t^{2} + 81 ) - 1}{t^{2} + 81 } )y = 0\\e^{t}y' + (\frac{9t^{3} + 729t - 1}{t^{2} + 81 } )y = 0\\y' + [\frac{9t^{3} + 729t - 1}{e^{t}(t^{2} + 81) } ]y = 0[/tex]

By comparing with y′+p(t)y=g(t), we get

[tex]p(t) = \frac{9t^{3} + 729t - 1}{e^{t}(t^{2} + 81) }[/tex]

g(t) = 0

And

The differential equation [tex]9ty + e^{t}y' = \frac{y}{t^{2} + 81 }[/tex] is  linear and homogeneous.

Answer:

5.73

Step-by-step explanation:

I hope that's help u

Answer:

5 11/15

Step-by-step explanation:

Convert the 2/5 to a fraction over 15 by multiplying it by 3. You result with 6/15. You can now easily add 3 5/15 + 2 6/15. They result in 5 11/15.

Answer:

Sn = -9(1-(-3)^n)/4

Step-by-step explanation:

Since r < 1, the sum of nth term of a geometric sequence is expressed as;

Sn = a(1-r^n)/1-r

a is the first term

n is the number f terms

r is the common ratio

An = -9(1-(-3)^n)/1-(-3)

Sn = -9(1-(-3)^n)/4

Hence the sum of the nth term of the series is Sn = -9(1-(-3)^n)/4

Answer: C. 25.6

Step-by-step explanation:

Answer:

the first truck

Step-by-step explanation:

the cost difference between the first truck and the second truck = $160,000-$145,000 = $15,000

the difference of gas cost between the first truck and the second truck = $0.31 - $0.26= $0.05 per mile.

so,

I think, this is a very significant number of truck cost compared with gas cost

for the best deal, the first truck is the best choice.

Answer:

A. [tex]-\frac{15}{2} < x< 0[/tex]

Step-by-step explanation:

Multiply to remove the fraction, then set equal to  0  and solve.

Answer:

a=1; b=14

Step-by-step explanation:

you have to form a perfect square

(a+b)²=a²+b²+2ab

If you add a one you will get a perfect square

x²+2x+1 = (x+1)²

if you added a one in one side you have to added to the other side too

(x+1)² = 13+1

(x+1)² = 14

Answer:

a = 1, b = 14

Step-by-step explanation:

To complete the square

add ( half the coefficient of the x- term)² to both sides , that is

x² + 2(1)x + 1 = 13 + 1

(x + 1)² = 14

with a = 1 and b = 14

Answer:

Liz scored more because she would score 94%, while Austin only scored 92%

Answer:

7 ft3

Step-by-step explanation:

Answer: Hello some part of your question is missing below is the missing part

Missing question:  Find the probability that the Smith family had at least 6 girls?

answer : 0.1406

Step-by-step explanation:

Number of children = 8

probability of a child being a girl ( success ) = 0.5  (

P( boy ) ( q ) = 1 - 0.5 = 0.5

P( at least 6 girls ) = p(k = 6 ) + p(k = 7 )

                              = 0.109375 + 0.03125 ≈ 0.1406

( using Binomial probability Calculator )

Answer:

18

Step-by-step explanation:

f(x) = x³+4x²-8x-6

P(a) <=> P(x)

-2 | 1 4 -8 -6

|

| -2 -4 24

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

1 2 -12 18

Answer:

you will still pass

Step-by-step explanation:

your grades might drop a little

Answer:2,2

Step-by-step explanation:

Rotate and flip

Plz give me a branliest

Answer:

7x + 20

Step-by-step explanation:

I dont have a explanation, but this could be right. :)

Answer:

0-5

Step-by-step explanation:

Answer:A

Step-by-step explanation:

got right in quiz