A blueberry grows at the rate of 0.7mm per week. If the biggest blueberry in my farm is now 4.9mm, how long has it been growing for?

Answer:

x = -2 ±sqrt( 10)

Step-by-step explanation:

x^2 + 4x = 6

Take the coefficient of x

4

Divide by 2

4/2 =2

Square it

2^2 =4

Add this to each side

x^2 + 4x+4 = 6+4

Take the 4/2 term which is the factor inside the (x+   )^2

(x+2)^2 = 10

Take the square root of each side

sqrt((x+2)^2) =±sqrt( 10)

x+2 = ±sqrt( 10)

Subtract 2 from each side

x+2-2 = -2±sqrt( 10)

x = -2 ±sqrt( 10)

Answer:

x= +/- \sqrt(10) - 2

Step-by-step explanation:

use the formula (b/2) in order to create a new term.

Solve for x by using the term to complete the square.

Answer:

The required probability is 0.0155.

Step-by-step explanation:

We are given that the one-year survival rate for pancreatic cancer is 20%.

Of 12 people diagnosed with pancreatic cancer at one hospital, 6 survived one year.

The above situation can be represented through binomial distribution;

[tex]P(X=r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,......[/tex]

where, n = number of trials (samples) taken = 12 people

            r = number of success = 6 survived

            p = probability of success which in our question is probability of

                  one-year survival rate for pancreatic cancer, i.e; p = 20%

Let X = Number of people survived one year

So, X ~ Binom(n = 12 , p = 0.20)

Now, the probability that 6 survived one year is given by = P(X = 6)

              P(X = 6)  =  [tex]\binom{12}{6} \times 0.20^{6} \times (1-0.20)^{12-6}[/tex]

                             =  [tex]924 \times 0.20^{6} \times 0.80^{6}[/tex]

                             =  0.0155

Answer:

see below

Step-by-step explanation:

Let C = chess

S = swimming

F = football

x = football only

y = all three sports

z = swimming only

x+y+ 8+12 = 32  those who like football

y+z+8+16 = 40  those who like swimming

7+x+8+y+12+10+16+z = 72  all children

Simplifying these equations

x+y = 32-20 = 12

y+z = 40-24 = 16

x+y +z = 72-53 = 19

Substituting x+y = 12 into the last equation

12 +z = 19

z = 7

y+z = 16  

y = 9

x+y =12

x =5

Swimming  only is 7

Football only is 5

Swimming and football y+8 = 9+8 = 17

P( chess or swimming but not football) = (10+16+z)/ total

                                                                 =(10+16+7)/ total

                                                                 =33/72

P( no  active sport) = chess only or no sport/total

                                 =(10+7)/72

Answer:

140

Step-by-step explanation:

Let's call the red and blue marbles 2x and 5x. We know that 5x = 2x + 60, so x = 20. The sum of all marbles in the bag is 2x + 5x = 7x which is 7 * 20 = 140 marbles. Hope this helps!

Answer:

84 in all.

Step-by-step explanation:

if there are 2 red marbles to every 5 marble than 60 / 5 = 12, 12 x 2 = 24 + 60 = 84.

Answer:

Step-by-step explanation:

A. Opposite sides are the same length, so the figure is a parallelogram.

__

B. Diagonals of a parallelogram cross at their midpoints, so ...

  9x +3 = 10x -2

  5 = x . . . . . . . . add 2-9x to both sides

__

C. The longer side is 12x = 12(5) = 60 . . . . units

Answer:

C

-9,-8 and 2,0

Step-by-step explanation

edge 2021

Answer:

The graph with coordinates x6,y8

Step-by-step explanation:

Answer:

4, D, or fourth option

Step-by-step explanation:

if x was 3, it would be greater

Answer:

thw last one

Step-by-step explanation:

the circle is colored in so it has to be more than or equal to/ less than or equal to ( basically the sign will have a line under it) and then the sign should be pointing the direction the arrow is pointing

Answer:

-208

Step-by-step explanation:

-162 - 46 = -208

Answer:

-208°F

Step-by-step explanation:

-162°F - 46°F = -208°F

Answer:

the maximum area that can be of a circle that has been cut out of rectangular board can be 70 in zero

Answer:

( x = 17° )

Step-by-step explanation:

Consider the following steps;

[tex]m< ZYW = 2x - Given,\\m< YXW = ( 3x - 5 ) - Given,\\m< XYW = 90 - Given,\\\\m< YXW + m< XYW + m< YWX = 180 - Sum of Angles in Triangle,\\( 3x - 5 ) + 90 + m< YWX = 180,\\3x - 5 + 90 + m< YWX = 180,\\3x - 5 + m< YWX = 90,\\m< YWX = 90 - 3x - 5,\\m< YWX = 85 - 3x,\\\\m< ZYW = m< YWX - Alternate Interior Angles,\\2x = 85 - 3x,\\5x = 85,\\Conclusion ; ( x = 17 degrees )[/tex]

Solution ; ( x = 17° )

Answer:

B is the awsnsr to your question

Step-by-step explanation:

Answer:

B) –0.78.

Step-by-step explanation:

Answer:

C +-4

Step-by-step explanation:

Answer:

17 units

Step-by-step explanation:

The midsegment of a triangle theorem states that:

The midsegment is 1/2 of it's parallel side.

So,

6x + 5 = 1/2(4x + 26)

6x + 5 = 2x + 13

6x - 2x + 5 = 13

4x + 5 = 13

4x = 13 - 5

4x = 8

x = 8 ÷ 4

x = 2

Substitute x to the midsegment.

6x + 5

6(2) + 5

12 + 5

17

Hello

Here is the answer:

A midsegment of a triangle is a segment connecting the midpoints of two sides of a triangle.  It is always parallel to the third side, and the length of the midsegment is half the length of the third side.

Please mark

Thanks

Jake

Answer:

Relative frequency for guest who will win the prize:

Relative frequency = 50%

Step-by-step explanation:

Total No. of guest = 500

No. of Guests with even-numbered tickets:

Ticket NO. 2 = 42

Ticket NO. 4 = 56

Ticket NO. 6 = 43

Ticket NO. 8 = 41

Ticket NO. 10 = 68

Total No. of Guest with even-numbered ticket = 42+56+43+41+68

Total No. of Guest with even-numbered ticket = 250

So.

Relative frequency = (frequency of desirable event/ total frequency) · 100

Relative frequency = (250/500)· 100

Relative frequency = 50%

Answer:

Volume, [tex]V= 75.35\ \text{feet}^3[/tex]

Step-by-step explanation:

We have,

Area of the base of of a pyramid with a square base is 12.7 ft

Height of the pyramid is 17.8 ft

It is required to find the volume of of a pyramid with a square base.

The formula used to find the volume of a pyramid with a square base is given by :

[tex]V=\dfrac{1}{3}Ah[/tex]

Plugging all the values in above formula

[tex]V=\dfrac{1}{3}\times 12.7\times 17.8\\\\V=75.35\ \text{feet}^3[/tex]

So, the volume of a pyramid is [tex]75.35\ \text{feet}^3[/tex].

Answer: 75.4 ft^3 when rounded

Step-by-step explanation:

Volume of Pyramid V=1/3BH

Area of base= 12.7

h=17.8

V=1/3 (12.7)(17.8)

V=75.353333

V=75.4 ft^3

Answer:

2,400cm²

Step-by-step explanation:

FORMULA FOR VOLUME OF A CUBOID = L×B× H

WHERE L is LENGTH =20cm

B=15cm

H= 8cm

:• VOLUME=20cm ×15cm ×8cm

=2,400cm²

Answer:

Volume = 2400 cm³

Step-by-step explanation:

Volume of Cuboid = [tex]Length*Width*Height[/tex]

Where L = 20 cm, W = 8 cm and H = 15 cm

Volume = [tex]20*8*15[/tex]

Volume = 2400 cm³

Answer:

c

Step-by-step explanation:

you know what output you get from the input.

For example, you know that if you put in -5, you get -2, or if you put in 4, you get -2.

Even though there are two inputs for one output, it is still a function.

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

If there are two outputs for one input, it is not a function.

For example, on d, when -5 is an input, you don't know if you're going to get 3 or 7. So, it's not a function.

//// hope that this helps you and have a great day////

Answer:

2/8 or 1/4

Step-by-step explanation:

there are two blues

and there are 8 in total

so its 2/8

Answer:

1/4 = 25% chance.

Step-by-step explanation:

The probability of an event is equal to the amount of favorable outcomes divided by the total amount of outcomes.

There are 2 favorable outcomes (spinning blue). There are a total of 8 locations where the spinner can land.

We can say that 2/8 = 1/4 = 25% chance of spinning blue.

I hope this helps!

Step-by-step explanation:

I'm not sure what the square root method is, but I'm assuming that you factor.

This is how I would solve it:

[tex]h = - 16 {t}^{2} + 36 \\ 0 = - 16 {t}^{2} + 36 \\ 0 = - 4(4 {t}^{2} - 9) \\ 0 = (2t - 3)(2t + 3) \\ t = \frac{3}{2} \\ t = - \frac{3}{2} [/tex]

Since time can't be negative, you rule out the -3/2.

Answer:

[tex]t = \frac{3}{2}[/tex]

Answer:

This is a pretty broad question but im guessing you could use math to calculate how many people would get infected each day. You could start with

Ex.

Okay if we have one infected person how many people could they possibly pass the illness onto the next day. Well if they have x number of classes and see y number of people in those classes whats the PROBABILIITY one of those people gets the virus. Than you could calculate how many people will get infected the NEXT day.

Answer:

y = x² + 7x + 4

Step-by-step explanation:

First option

System of equations:

y = x² + x – 4

y = x – 5

Replacing:

x - 5 = x² + x – 4

0 = x² + x – 4 - x + 5

0 = x² + 1

Discriminant:

b²-4*a*c

0²-4*1*1

-4 < 0   then the equation has no real roots

Second option

System of equations:

y = x² + 2x – 1

y = x – 5

Replacing:

x - 5 = x² + 2x – 1

0 = x² + 2x - 1  - x + 5

0 = x² + x + 4

Discriminant:

b²-4*a*c

1²-4*1*4

-15 < 0   then the equation has no real roots

Third option

System of equations:

y = x² + 6x + 9

y = x – 5

Replacing:

x - 5 = x² + 6x + 9

0 = x² + 6x + 9  - x + 5

0 = x² + 5x + 4

Discriminant:

b²-4*a*c

5²-4*1*4

9 > 0 then the equation has two different real roots

Fourth option

System of equations:

y = x² + 7x + 4

y = x – 5

Replacing:

x - 5 = x² + 7x + 4

0 = x² + 7x + 4 - x + 5

0 = x² + 6x + 9

Discriminant:

b²-4*a*c

6²-4*1*9

0  then the equation has one real root

Answer: y = x² + 7x + 4

Step-by-step explanation:

Trust

The right answer is 113.04cm^3

please see the attached picture for full solution

hope it helps

good luck on your assignment

Answer:

113.04

Step-by-step explanation:

→The formula for the volume of a sphere is:

[tex]V = \frac{4}{3} (3.14)r^3[/tex]

→The "r," is the radius, which is already given as 3.

[tex]V = \frac{4}{3} (3.14)3^3[/tex]

V = 113.04

[tex]N=3pg^2-2pv\\\\N+2pv=3pg^2\\\\2pv=3pg^2-N\\\\v=\dfrac{3pg^2-N}{2p}[/tex]

Answer:

C

Step-by-step explanation:

The area of triangles is 1/2 x b x h.

Plug them in!

1/2 x 24 x 35

Simplify.

12 x 35

420 square inches

Answer:

Option A.

Step-by-step explanation:

The given question is incomplete. Let as consider we need to find [tex](g\circ h)(5)[/tex]

The given functions are  

[tex]h(x)=x-7[/tex]

[tex]g(x)=x^2[/tex]

We need to find the expression for [tex](g\circ h)(5)[/tex].

[tex](g\circ h)(5)=g(h(5))[/tex]

[tex](g\circ h)(5)=g(5-7)[/tex]         [tex][\because h(x)=x-7][/tex]

[tex](g\circ h)(5)=(5-7)^2[/tex]         [tex][\because g(x)=x^2][/tex]

Therefore, the correct option is A.

Answer:

g=1960

hope it helped

Step-by-step explanation:

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

Answer:

Step-by-step explanation:

3x - 5y = -35

2x - 5y = -30

3x - 5y = -35

-2x + 5y = 30

x = -5

3(-5) -5y = -35

-15 - 5y = -35

-5y = -20

y = 4

Answer: It is A. 4

Step-by-step explanation:3x - 5y = -35

2x - 5y = -30

3x - 5y = -35

-2x + 5y = 30

x = -5

3(-5) -5y = -35

-15 - 5y = -35

-5y = -20

y = 4

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