Susana has a budget for school stationery of $33, but has already spent 19.10 on books and folders. Let p represent the amount that Susana can spend on other stationery. Write an inequality that shows how much she can spend on other stationery, and solve for p.

Number of bacteria each species start out with for the given exponential growth function is equals to 1000.

" Exponential growth function is defined as the the process of the increment in the initial quantity over the period of time 't'."

Formula defined

Exponential model

[tex]y =y_{0} e^{kt}[/tex]

[tex]y =[/tex]growth in the quantity

[tex]y_{0}[/tex] = initial quantity

[tex]k=[/tex] exponential growth

[tex]t=[/tex] time taken to grow

According to the question,

Given exponential function,

For Species A :  [tex]y=1000 (2^{\frac{t}{3} } )[/tex]

For Species B :  [tex]y=1000 (2^{3t} )[/tex]

't' represents the number of days after the growth begins

a. For the given condition of the exponential growth function ,

t = 0 when species start out with

For species A

   [tex]y=1000 (2^{\frac{0}{3} } )[/tex]

⇒ [tex]y=1000[/tex]

For species B

   [tex]y=1000 (2^{3(0) } )[/tex]

⇒ [tex]y=1000[/tex]

Hence, number of bacteria each species start out with for the given exponential growth function is equals to 1000.

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Step-by-step explanation:

1/2 -1/4

2*4-1*1/4

=1/4.

1/4is answer

Answer:

Step-by-step explanation:

Answer:

If f(x) is parallel to the line y=3/4x+b ,it would have to have the same slope.  

In this equation:

y=mx+b

m= is the slope of the line.

A line parallel to the line y=3/4x +2/5 must have the same slope; that it is to say, the slope would be m=3/4

Examples:

y=3/4 x+ 50000

y=3/4 x -51/36

y=3/4 x -√2

These functions could be parallels to the line y=3/4 x +2/5

Answer:

see below.

Step-by-step explanation:

The key to this question is the factor 3/4. So anything that is going to make the coefficient in front of x = to 3/4 is a possible answer.

y = 3/4x + b  where b is anything but 2/5 is one answer. Disguised but still likely is

4y = 3x + b        Where you could divide everything by 4

y = 3/4x + b/4

Even something like

-4y = - 3x + b  is possible because when you divide by -4, you get

y = -3x/-4 + b/-4

y = 3x/4 - b/4      

Answer:

XOC = 60

Step-by-step explanation:

AOC = DOB because they are vertical angles

AOX+XOC = 25+45

10+XOC = 70

XOC = 70-10

XOC = 60

--Answer--

The second one, fourth, and fifth.

--Explanation--

1. - 6.283...

2. 7.142...

3. 6.928...

4. 7.483...

5. 7.874...

Answer:

1/3 + 6/35

Step-by-step explanation:

We are given;

−2/7 × 1/5 + 1/3 - 4/5 × -2/7

Using the rule of bodmas, we will group them and solve with multiplication being the first operation.

1/3 - (4/5 × -2/7) + (−2/7 × 1/5)

Factorization of first and second bracket gives;

1/3 + 2/7(4/5) + 2/7(-1/5)

Factorizing again gives;

1/3 + 2/7(4/5 - 1/5)

>> 1/3 + 2/7(3/5)

>> 1/3 + 6/35

Answer:

here is the answer bae. Feel free to ask for more

Answer: -m3+m2

Step-by-step explanation: 2m2-[m2(7m-)]6m2

2m2-7m2-m3+6m2

-m3+m2

Transformation involves changing the form of a function.

The equation that represents g(x) is (c) [tex]g(x) =-\sqrt[3]{x+1}[/tex]

Function f(x) is given as:

[tex]f(x) =\sqrt[3]{x}[/tex]

The rule of this transformation (i.e. reflection) is:

[tex](x,y) \to (x,-y)[/tex]

So, we have:

[tex]f'(x) = -f(x)[/tex]

This gives

[tex]f'(x) =-\sqrt[3]{x}[/tex]

The rule of this transformation (i.e. translation) is:

[tex](x,y) \to (x+1,y)[/tex]

So, we have:

[tex]g(x) = f'(x+1)[/tex]

This gives

[tex]g(x) =-\sqrt[3]{x+1}[/tex]

Hence, the equation that represents g(x) is (c)

Read more about transformation at:

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Answer:

Its D

Step-by-step explanation:

just did the quiz

Answer:2. okra

Step-by-step explanation:

Answer:

a║b

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

18x = 12(x+2)

18x = 12x+24

18x-12x = 24

6x = 24

x = 4

Answer:

4 + (1/3)w + w = 24

subtract 4 from both sides

(1/3)w + w = 20

multiply both sides by 3 to clear the fraction

w + 3w = 60

4w = 60

Divide both sides by 4

w = 15

Answer:

Maggie did not apply the law correctly

Step-by-step explanation:

Given 3 numbers A, B and C, for a commutative property

(A+B)+C = C+(A+B)

This shows that the remains the same no matter what values comes first

For the given expression

4/5+6.9y-8 = 6.9y+8-4.5

The values are not commutative because of the presence of negative sign. For the expression to be commutative, they must be equal no matter the way it is arranged and the sign must be positive all through for both sides. Hence Maggie did not apply the law correctly

Answer: 70,900 Rs

Step-by-step explanation:

  8400

  8000

  2000

 10000

 40000

   3000

+     500

  71900

-    1000

   70900

= 70,900 Rs

Answer:

the second option

y = (-1/2)x + 11

Step-by-step explanation:

x = 2

y = (-1/2)×2 + 11 = -1 + 11 = 10

the same as the table.

x = 4

y = (-1/2)×4 + 11 = -2 + 11 = 9

the same as the table.

x = 6

y = -3 + 11 = 8

the same as the table.

x = 8

y = -4 + 11 = 7

the same as the table.

I think B. 3,6,12,24 is the answer

Answer:

C

Step-by-step explanation:

the pattern is add 3

11 + 3 = 14

14 + 3 = 17

17 + 3 = 20

Answer:

A^2 +2AB+B^2

Step-by-step explanation:

thats an open bracket of the question .Hope its needful

Answer:

[tex]C" = (-4,-3)[/tex]

Step-by-step explanation:

Given

[tex]C = (4,3)[/tex]

Required

The coordinates of C"

From the question, we understand that:

C is reflected over x-axis to give C'

The rule to this is:

[tex]C(x,y) \to C'(x,-y)[/tex]

So, we have:

[tex]C(4,3) \to C'(4,-3)[/tex]

Next, C' is reflected over y-axis to give C''

The rule to this is:

[tex]C'(x,y) \to C"(-x,y)[/tex]

So, we have:

[tex]C'(4,-3) \to C"(-4,-3)[/tex]

96/2= 48

given figure is a square.the line is bisect the angel

thank you

Answer:

y = 5x - 2

Step-by-step explanation:

Answer: f=3

Step-by-step explanation:

The intervals means that angle f is between the quadrant 1.

where x+y=90

Answer:

317.49508~317.50

Step-by-step explanation:

a=15.937253933193771

b=7.9686269665968858

a²+b²=(15.937253933193771)²+(7.9686269665968858)²

=(253.99606)+(63.49902)

=317.49508

Answer: This would be how I would do it, so the answer might vary from what the teacher wants.

A 135 degree angle is a 90 degree plus 45 degree. So I would first draw a straight line, then divide the line into two 90 degree angles with a perpendicular bisector. Then I would draw a line dividing one of those 90 degree angles into two 45 degree angles. Now I would erase the middle line and now you have a 135 degree angle hint 90 + 45.

Step-by-step explanation:

Answer:

Step-by-step explanation:

90 ° + 45° = 135°

Answer:

C and D

Step-by-step explanation:

2x^2  + 7x + 6

(2x + 3)(x+2)

x = -3/2 = -1.5

x = -2

Answer:

The data points in Set 1 are more spread out than the points in Set 2 because the mean absolute deviation of set 1 is larger.

Step-by-step explanation:

Given

Mean absolute deviations of set 1 and 2

Required

Complete the gap

From the complete question, we have that:

set 1 has a larger mean absolute deviation than set 2

This means that:

The dataset of set 1 is more spread out than that of set 2

The reason for this is that:

set 1 has a larger mean absolute deviation

Answer:

Surface Area = 150.8 square inch

Step-by-step explanation:

[tex]Surface \ Area = 2 \pi r h + 2 \pi r^2 \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ r = 4 , \ h = 2 \ ] \\\\[/tex]

                    [tex]= 2 \pi \times 4 \times 2 + 2 \pi 4^2\\\\=16 \pi + 32 \pi \\\\= 48 \pi \\\\= 150.796 \\\\=150.8 \ square \ inch[/tex]

Answer:

430 km

Step-by-step explanation:

If they traveled 350 km by bus and biked 80 km more than they were bused, then,

Traveled by bus, Y = 350 km

Traveled by bike, X = 350 + 80 = 430 km

Hope this will help. Please mark me brainliest if it helps.

Answer:21.99

Step-by-step explanation: Given diameter of a circle is(d)=7cm.

Now, we know that circumference of circle is =πd, where d is diameter of circle.

So, here circumference is = π×7cm

= 22/7 x 7 cm

Circumference = 22cm

[tex]\sf \bf {\boxed {\mathbb {GIVEN:}}}[/tex]

Diameter of the circle "d" = 7 cm

[tex]\sf \bf {\boxed {\mathbb {TO\:FIND:}}}[/tex]

The circumference of the circle.

[tex]\sf \bf {\boxed {\mathbb {SOLUTION:}}}[/tex]

[tex]\sf\orange{The\:circumference \:of\:the\:circle\:is\: 22\:cm.}[/tex]

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:EXPLANATION:}}}[/tex]

We know that,

[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:πd }[/tex]

[tex] = \frac{22}{7} \times 7 \: cm[/tex]

[tex] = 22 \: cm[/tex]

Therefore, the circumference of the circle is 22 cm.

[tex]\large\mathfrak{{\pmb{\underline{\pink{Mystique35 }}{\pink{❦}}}}}[/tex]

Answer:

x + 6y = -3

Step-by-step explanation:

Explained in the paper.