Original grade 80 New grade 100 Find the percent of increase

Answer:

Step-by-step explanation:

The third one :

Answer:

(2xy +x+y)(3xy² -y)

= 6x²y³ -2xy²+ 3x²y² -xy +3xy³ -y²

(xy+3x+2)(xy-9)

= X²y² -7xy+3x²y -27x-18

(x²+3xy-2)(xy+3)

= X³y + 3x² + 3x²y² +7xy -6

Step-by-step explanation:

For (xy+9y+2) and (xy-3)

(xy+9y+2) (xy-3)

= x²y² -3xy +9xy² -27y + 2xy -6

= x²y² -xy +9xy² -27y -6

For (2xy +x+y)(3xy² -y)

= 6x²y³ -2xy²+ 3x²y² -xy +3xy³ -y²

For (x-y)(x+3y)

= X² + 3xy -xy -3y²

= X² +2xy -3y²

For (xy+3x+2)(xy-9)

= X²y² -9xy +3x²y -27x+2xy -18

= X²y² -7xy+3x²y -27x-18

For (x²+3xy-2)(xy+3)

= X³y + 3x² + 3x²y² +9xy -2xy -6

= X³y + 3x² + 3x²y² +7xy -6

Answer:

k = -11

Step-by-step explanation:

Let [tex]p(x) = x^3-6x^2+kx+10[/tex]

And x+2 is a factor of p(x)

Let x+2 = 0 => x = -2

Putting in p(x)

=> p(-2) = [tex](-2)^3-6(-2)^2+k(-2)+10[/tex]

By remainder theorem, Remainder will be zero

=> 0 = -8-6(4)-2k+10

=> 0 = -8-24+10-2k

=> 0 = -22-2k

=> -2k = 22

Dividing both sides by -2

=> k = -11

Answer:

[tex]P(t)=256*e^{0.068185t}[/tex]

10 minutes for the population to double.

Step-by-step explanation:

The general formula for the population equation, P(t), is:

[tex]P(t)=A*e^{nt}[/tex]

We are given that for t =5 minutes and t = 2 minutes:

[tex]P(5)=360=A*e^{5n}\\P(20)=1,000=A*e^{20n}\\\\[/tex]

Solving for A and n:

[tex]ln(360)=ln(A)+5n\\ln(1,000)=ln(A)+20n\\ln(1,000)-4ln(360)=ln(A)-4ln(A)+20n-20n\\ln(A)=5.5455536\\A=256\\n=\frac{ln(360)-ln(256)}{5}\\n=0.068185[/tex]

The exponential equation that represents this situation is:

[tex]P(t)=256*e^{0.068185t}[/tex]

The population will double when P(t) = 512 bacteria:

[tex]512=256*e^{0.068185t}\\ln(2)=0.068185t\\t=10.17\ minutes[/tex]

To the nearest minute, it takes roughly 10 minutes for the population to double.

Answer:

8.30662386292= mas o menos 8

Step-by-step explanation:

Para este pregunta, se necesita encontrar el raiz cuadrada de 69, porque 69 esta triplicada, entonces la temperatura inicial era  mas o menos 8

Answer:

1 - 8/9 + 4/9 = 9/9 -8/9 +4/9 = (9-8+4)/9 = 5/9

Step-by-step explanation:

Answer:

The answer is 5/9.

Step-by-step explanation:

First, you have to make all the denorminator of the fractions the same by multultiplying :

[tex]1 - \frac{8}{9} + \frac{4}{9} [/tex]

[tex] = \frac{1}{ 1} - \frac{8}{9} + \frac{4}{9} [/tex]

[tex] = \frac{1 \times 9}{1 \times 9} - \frac{8}{9} + \frac{4}{9} [/tex]

[tex] = \frac{9}{9} - \frac{8}{9} + \frac{4}{9} [/tex]

Next, you have to make it into 1 fraction and simplify :

[tex] \frac{9}{9} - \frac{8}{9} + \frac{4}{9} [/tex]

[tex] = \frac{9 - 8 + 4}{9} [/tex]

[tex] = \frac{5}{9} [/tex]

Answer:

x^2 -2x+1

Step-by-step explanation:

(x - 1 )(x - 1)

FOIL

first: x*x = x^2

Outer: -1x

inner: -1x

Last: -1*-1 = 1

Add these together

x^2 -1x-1x+1

x^2 -2x+1

Answer:

x² - 2x +1

Step-by-step explanation:

(x - 1) (x - 1)

x(x - 1) - 1(x - 1)

x² - x - x + 1

x² -2x + 1

Answer:

I attached it.

Step-by-step explanation:

This is the graph.

Answer:

D

Step-by-step explanation:

Answer:

C

Please give brainliest, I explained in the comments

Step-by-step explanation:

Answer:

x - intercept -> Jan threw the javelin to a distance of 90 meters

relative maximum or minimum -> the highest point the javelin reached was 14 meters above the ground

increasing or decreasing interval -> Jan threw the javelin a distance of 90 meters

Step-by-step explanation:

x - intercept is where y = 0. Check where y is 0. At x = 90. Meaning it's Jan threw the javelin to a distance of 90 meters

relative maximum or minimum -> there is only a maximum on the graph, look at how the points never go down and back up, but rather up then down.

increasing or decreasing interval is basically just the interval or the x values and they go to 90 so..

Answer:

80% (see below)

Step-by-step explanation:

24:30

24 ÷ 30 = 0.8

0.8 = 80%

Hope this helped! :)

Answer:

80%

Step-by-step explanation:

Step 1: Find the fraction she got correct

24/30 = 4/5

Step 2: Find the decimal

4/5 = 0.8

Step 3: Convert to percentage by multiplying by 100

0.8(100) = 80%

Answer:

  60 square units

Step-by-step explanation:

We can bound the trapezoid with a rectangle having opposite corners at (4, 6) and (16, 16). This rectangle will have an area of (16 -4)(16 -6) = 120 square units.

From this bounding rectangle we can subtract the areas of the corner triangles. Their x-y extents (CW from upper left) are ...

  (10×6), (2×6), (6×4), (6×4)

Their areas are half the product of these base×height dimensions, so the triangles have a total area of ...

  (1/2)(60 +12 +24 +24) = 60

Then the area of the trapezoid is the difference of the area of the bounding rectangle and the area of the corner triangles:

  trapezoid area = 120 -60 = 60 . . . . square units

Answer:

[tex]g(x) = x^{2} + 6\cdot x + 7[/tex]

Step-by-step explanation:

The blue parabola is only a translated version of the red parabola. The standard form of a vertical parabola centered at (h,k), that is, a parabola whose axis of symmetry is parallel to y-axis, is of the form:

[tex]y - k = C\cdot (x-h)^{2}[/tex]

Where:

[tex]h[/tex], [tex]k[/tex] - Horizontal and vertical components of the vertex with respect to origin, dimensionless.

[tex]C[/tex] - Vertex constant, dimensionless. (If C > 0, then vertex is an absolute minimum, but if C < 0, then vertex is an absolute maximum).

Since both parabolas have absolute minima and it is told that have the same shape, the vertex constant of the blue parabola is:

[tex]C = 1[/tex]

After a quick glance, the location of the vertex of the blue parabola with respect to the origin is:

[tex]V(x,y) = (-3,-2)[/tex]

The standard form of the blue parabola is [tex]y+2 = (x+3)^{2}[/tex]. Its expanded form is obtained after expanding the algebraic expression and clearing the independent variable (y):

[tex]y + 2 = x^{2} +6\cdot x + 9[/tex]

[tex]y = x^{2} + 6\cdot x + 7[/tex]

Then, the blue parabola is represented by the following equations:

[tex]g(x) = x^{2} + 6\cdot x + 7[/tex]

Answer:

(a) [tex]4\frac{1}{5}[/tex]

(b)  [tex]7\frac{7}{24}[/tex]

Step-by-step explanation:

One way of operating with mixed numbers is to first convert them into improper fractions, and operate with them following the simple rules of fraction multiplication, and at the end convert the answer into mixed number.

(a) For this operation let's first convert [tex]5\,\frac{2}{5}[/tex] into an improper fraction:

[tex]5\frac{2}{5} =5+\frac{2}{5} =\frac{25}{5} +\frac{2}{5} =\frac{27}{5}[/tex]

Now perform the requested operation:

[tex]\frac{7}{9} \,*\,\frac{27}{5} =\frac{189}{45} =\frac{21}{5} =4\frac{1}{5}[/tex]

(b) Start by converting both mixed numbers into improper fractions and then operate as indicated:

[tex]1\frac{3}{4} =\frac{4+3}{4} =\frac{7}{4} \\4\frac{1}{6} =\frac{24+1}{6} =\frac{25}{6}[/tex]

[tex]\frac{7}{4} *\frac{25}{6} =\frac{175}{24} =7\frac{7}{24}[/tex]

Answer:

g=6

Step-by-step explanation:

We can start by multiplying both sides by 2

5(3g+2)=100

Now we can distribute the 5 by using the distributive property

15g+10=100

Then we subtract 10 from both sides

15g=90

Divide both sides by 15

g=6

Answer:

6

Step-by-step explanation:

5(3g + 2)/2 = 50              Multiply both sides by 2

5(3g + 2)  = 50*2 = 100   Remove the brackets

15g + 10 = 100                  Subtract 10     ***

15g+10-10 = 100 - 10         Collect like terms.

15g = 90                            Divide by 15   ***

15g/15 = 90/15

g = 6

I don't know how to cut this down so that it requires only 2 steps.  I guess that the two steps marked with *** are the 2 I would choose.

Answer:

$324

Step-by-step explanation:

Melissa sold 18 tickets.

Jona sold 1/2 * 18 = 9 tickets

Shona sold 1 1/2 * 18 = 1.5 * 18 = 27 tickets

Total number of tickets sold:

18 + 9 + 27 = 54

Total money from sales: 54 * $6 = $324

Answer:

Step-by-step explanation:

surface area of two trapezoids=2[(12+8)/2×3]=2[30]=60 cm²

surface area of side rectangles=10×8+10×12=10(8+12)=200 cm²

surface area of top=10×5=50 cm²

surface area of bottom=10×3=30 cm²

Total surface area=60+200+50+30=340 cm²

Answer:

Step-by-step explanation:

to find the surface area , you need to find the area of each side(face)

top: 5*10=50

the bottom of the shape: 3*10=30

the front face:10*8=80

the sides are trapezoid shapes with:different dimensions:

side :8,12 and eight of 3 ( the shape has 3 faces the same)

area=((12+8)/2)*3= 30 (30*3 faces or sides)

add the numbers: 50+30+80+(30*3)=250 cm^2

I hope it is right and good luck

Answer:  D) 339 sq. units

Step-by-step explanation:

see attachment

Answer:

Okay so I am not positive but I will try to help you out. Okay so the line of best fit would positive. Because it is all going up. The approximate slope is 3/4 Because slope is change in y over change in x. The y intercept of the line of best fit would be (0,0). This is because when drawing the line you can see that it would intercept the y-axis at zero. My steps taken were basically just looking at it and peicing everything together. If you want to get more involved with slope you could pick to coordinates which I will include and do change in y over change in x.

My points I will pick are (1,1) and (5,2)

2-1/5-1=3/4

therefore approximate slope is 3/4

Like I said I am not positive but I am just trying to help out in some way.

If something is incorrect please inform me. If this helps also please inform me.

Answer:

D 0.6

Step-by-step explanation:

plato/edmentum

Answer: 0.6

Step-by-step explanation:

Answer:

x=12cm

Step-by-step explanation:

PA ×PB=PT^2

4×(4+x)=(8)^2

16+4x=64

4x=64-16

4x=48

x=12cm

Answer:

x =12

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(4+x) * 4 = 8^2

Distribute

16+4x = 64

Subtract 16 from each side

4x = 48

Divide each side by 4

4x/4 = 48/4

x = 12

Answer:

0.143059

Step-by-step explanation:

[tex]\dfrac{\sqrt{19 + 6^2}}{7.2^2} =[/tex]

[tex]= \dfrac{\sqrt{55}}{51.84}[/tex]

[tex] = 0.143059 [/tex]

Answer:

Step-by-step explanation:

Given the graph of the equation y = -2. To determine how the line will look like on Cartesian plane, first we must understand the following;

The standard form of equation of a line is y = mx+c where m is the slope and c is the intercept. Comparing this standard form to the given equation shows that the equation is in slope-intercept form.

It can also written as y = 0x-2. This shows that slope  m = 0 and the y-intercept c = -2. The graph can be graphed as y = 0x-2

The line will be an horizontal line drawn on the negative y-axis at the coordinate x = 0 and y = -2. The line will therefore be parallel to the x axis

Check the attachment for the graph.

The graph of the equation [tex]\boldsymbol{y=-2}[/tex] is a line parallel to the [tex]\boldsymbol{x-}[/tex]axis

A graph is a pictorial representation of data or values in a well - organized manner.

The graph of the equation passes through a point [tex]\boldsymbol{(a,b)}[/tex] if it satisfies it.

The graph of the equation of the form [tex]\boldsymbol{x=a}[/tex] is parallel to the [tex]\boldsymbol{y-}[/tex]axis.

The graph of the equation of the form [tex]\boldsymbol{y=a}[/tex] is parallel to the [tex]\boldsymbol{x-}[/tex]axis.

So, the graph of the equation [tex]\boldsymbol{y=-2}[/tex] is a line parallel to the [tex]\boldsymbol{x-}[/tex]axis

Option 1) is correct.

For more information:

https://brainly.com/question/17995541?referrer=searchResults

Answer:

Domain is [-4, 4]

Range is [0, 4]

Step-by-step explanation:

Domain is the fancy name for the values of x that works for the graph (input), in this case, from -4 to 4, inclusive.

Range is the fancy name for the values of y that works for the graph (output), in this case, from 0 to 4, inclusive.

Las funciones trigonométricas se utilizan fundamentalmente en la solución de triángulos

rectángulos, recordando que todo triángulo rectángulo tiene un ángulo de 90° y sus ángulos

interiores suman 180°. La notación que se acostumbra es la siguiente.

Answer:

The slope shows how much money the car decreases by each year. (Every year after the car was first purchased the value of it goes down by $2,000) The y-intercept tells what the starting price of the car was. ( they bought it for $25,000)

Step-by-step explanation:

Algebra

y=mx+b

Answer:

Step-by-step explanation:

A consumer is considering two different purchasing options for the car of their choice. The first option, which is leasing, is described by the equation 250x - y + 4000 = 0 where x represents the number of months of ownership and y represents the total paid for the car after ‘x' months. The second option, which is the financing option, will cost $400 for 0 months of ownership, (0,400), and $4400 for 10 months of ownership, (10, 4400). Part A: Find the equations, in slope/y-intercept form, for each of the purchasing options. Explain the significance of the slope and y-intercept for each purchasing option.

Answer: For the first option which is leasing, it is described by the equation:

250x - y + 4000 = 0

The general equation of a line is y = mx + c, where m is the slope of the line and c is the intercept on the y axis.

Since 250x - y + 4000 = 0, we need to make it in the form of the general equation by making y the subject of the formula.

Therefore:

y = 250x + 4000

This means that the slope is 250 and the y intercept is 4000. That is at 0 months, the amount paid for the car is $4000 for the first option. As the value of the months increase by 1, the amount paid for the car increase by 250

The second option, which is the financing option, will cost $400 for 0 months of ownership, (0,400), and $4400 for 10 months of ownership, (10, 4400). To get the equation of the line, we use the formula:

[tex]\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}\\ Substituting:\\\frac{y-400}{x-0}=\frac{4400-400}{10-0}\\\frac{y-400}{x} = 400\\y=400x+400[/tex]

The second option has a slope of 400 and an intercept of 400. At 0 months, $400 is paid for ownership. As the value of the months increase by 1, the amount paid for the car increase by 400

Hi,

it'took 70 minutes to empty the pool.  

After 20 it's stay 45 000 litres.   So in 50 minutes, 45 000 litres are gone.  

So  :    45 000 / 50 =  4500/5 = 9*5 *100 /5 = 900

900 litres is off  every minute.

So the  pool contained  :  900 *70 =  63 000 litres  in the beginning.

Answer:

(-0.667,0), & (1.333,0)

Step-by-step explanation:

The equation creates two parallel lines on a graph that both have x-intercepts of (-0.667,0) & (1.333,0). So x = (-0.667,0), (1.333,0).

Hopefully this helps & gets brainliest.

Answer:

Let's do this step by step

Since there are 72 apples, the pears are 3 times as much. So multiply by 3

[tex]72 * 3=216[/tex]

So there would be 216 pears.

Now for Kiwis

They are 2 times as much, Multiply by 2

[tex]72 *2=144[/tex]

All together with the kiwi and the pears are

[tex]216+144=360[/tex]

And all the fruits together it would be

432

Hope this helps

Answer by

Fishylikeswater

The number of pears, apples and kiwis Peggy has is 216, 72 and 144 respectively.

Number of apples = 72 apples

Number of kiwis = 2 × 72

= 144 kiwis

Number of pears = 72 × 3

= 216 pears

Therefore, Peggy has 144 kiwis

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