What is an equation of the line that passes through the points (0,7) and (5,4? Put your answer in fully reduced form.

Answer:

M(t) = 6.7 * 10⁷ (67 million)

Minutes (t) =55

Step-by-step explanation:

1. Write an exponential equation that represents M, the total number of bacterial microbes in millions, as a function of t, the number of minutes the sample has been observed.

For answering this question, we will use the following formula:

M(t) = B₀ * g ^(t/m), where:

•M(t) represents the total number of bacterial microbes in millions.

• B₀ represents the initial population of bacteria in millions.

• g represents the growth factor.

• t represents the total number of minutes we will observe the bacteria growing.

• m represents the time in minutes it takes to the growth factor g to occur.

2. Then, determine how much time, to the nearest minute, will pass until there are 67 million bacterial microbes.

M(t) = B₀ * g ^(t/m)

Replacing with the values we know:

6.7 * 10⁷ = 10⁷ * 2 ^(t/20)

6.7 = 2 ^(t/20) (Dividing by 10⁷ at both sides)

ln 6.7 = ln 2 ^(t/20)

ln 6.7 = t/20 ln 2

ln 6.7/ ln 2 = t/20

t = ln 6.7/ln 2 * 20

t = 2.74 * 20

t = 54.88

t ≅ 55 (rounding to the nearest minute)

Answer:

there is two solutions to that problem. you can find x is equal to two numbers.

Answer:

i need points sry i needa ask a question

Step-by-step explanation:

Answer:

can't see the question ⁉️

Answer:

9.55 cm

Step-by-step explanation:

A quadrant of a circle is 1/4 of a circle.

Since the curved edge is 15 cm, a full circle would be 60 inches.

60/Pi = diameter

diameter = 60/3.14 = 19.11 cm

diameter/2 = radius

radius = 19.22/2 = 9.55 cm which is the length of a straight edge.

Answer:

59.85

Step-by-step explanation:

The scores on a mathematics exam have a mean of 70 and a stadard deviation of 7. Find the x-value that corresponds to the z-score -1.45.

We solve the above question using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 70

σ is the population standard deviation = 7

z = -1.45

Hence:

-1.45 = x - 70/7

Cross Multiply

-1.45 × 7 = x - 70

-10.15 = x - 70

x = -10.15 + 70

x = 59.85

Answer:

The x=2 is the correct option.

Step-by-step explanation:

when we have 4x which means 4*x +4 so the side seems small when we multipy and add we get the smaller number as.. 12 but, other number take so big...

Answer:

x=8

Step-by-step explanation:

63+90+2x+11=180

Answer:

B

Step-by-step explanation:

Add 63 and 90 to find the left angle. Then subtract by 180.

Since that answer is 27, add it to 90 and subtract by 180 to find the last angle in the middle. then finally the angle in the corner should equal 27 since the triangles are congruent.

The the fewest number of tire rotations is 42 to travel the entire distance of the driveway.

It is given that the driveway that is 200 feet long and the tire diameter is 18 inches.

It is required to find the fewest number of tire rotations a tire will make to travel the entire distance of the driveway.

It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).

Driveway length = 200 feet

Diameter of the tire = 10 inches

For converting it to feet divide by 12.

Now the diameter of tire = 18/12 = 1.5 feet

Radius of the tire = 0.75 feet

We know the perimeter of the circle:

[tex]\rm P = 2\pi r[/tex]

P = 2(π)(0.75)

P = 4.71 feet   ( π =3.14 and P = 0.75)

[tex]\rm number \ of \ tire \ rotations = \frac{Driveway \ length}{Perimeter \ of tire}[/tex]

[tex]= \frac{200}{4.71}[/tex]

Number of tire rotation = 42.462 ≈ 42

Thus, the the fewest number of tire rotations is 42 to travel the entire distance of the driveway.

Learn more about circle here:

brainly.com/question/11833983

Answer:

x

=

2

±

√

7

Explanation:

there are no whole numbers which multiply to - 3

and sum to - 4

we can solve using the method of  

completing the square

the coefficient of the  

x

2

term is 1

∙

add subtract  

(

1

2

coefficient of the x-term

) 2  to x2 − 4 x ⇒ x 2 +2(− 2 ) x + 4 − 4 − 3 = 0 ⇒ ( x − 2 )2 − 7 =0 ⇒ ( x − 2 ) 2 = 7

take the square root of both sides

⇒ x − 2 = ± √ 7 ←

note plus or minus

⇒ x = 2 ± √ 7←

exact solutions

Step-by-step explanation:

x²-4x+3=0

x²-4x=-3

take half of -4 square it and add it to both side

x²-4x+(-2)²=4-3

(x-2)²=1

x-2=±1

x=2±1

x=1,3

Answer:

Number of boys who attended the community service event = 10

Step-by-step explanation:

Let [tex]x[/tex] denotes number of girls and [tex]y[/tex] denotes number of boys.

Twenty-six students attended the community service event.

So,

[tex]x+y=26[/tex]

The number of girls was 4 fewer than twice the number of boys.

[tex]x=2y-4[/tex]

Put [tex]x=2y-4[/tex] in [tex]x+y=26[/tex]

[tex]2y-4+y=26\\3y=26+4\\3y=30\\y=10[/tex]

So,

Number of boys who attended the community service event = 10

Answer:

x= 73

y= 13

Step-by-step explanation:

The sum of the angles opposite the exterior angle = the exterior angle so

x= 141-68

x= 73

The angle sum of a triangle= 180.

180-68-73= 39

since there are 3 "y"s we need to divide 39 by 3

39/3= 13

Answer:

10

Step-by-step explanation:

Tₙ=n+5

T₅=5+5=10

Answer:

3

Step-by-step explanation:

15*1/5= 3

Answer:

2

Step-by-step explanation:

For A and B, count to the y axis (vertical line)

Answer:

=4x^2−20xy+25y^2

Step-by-step explanation:

(2x−5y)^2

=(2x+−5y)(2x+−5y)

=(2x)(2x)+(2x)(−5y)+(−5y)(2x)+(−5y)(−5y)

=4x^2−10xy−10xy+25y^2

=4x^2−20xy+25y^2

Hope it helped!

Answer:

(2x)^2- 2*(2x)*(5y)+(5y)^2= 4x^2-20xy+25y^2

Step-by-step explanation:

Identity- (a-b)^2= a^2-2ab+b^2

Answer:

2/10 or 20%

Step-by-step explanation:

Because 4 and 8 are the only numbers 1-10 that are divisible by four.

This would give Amy a 2/10 chance of rolling a number divisible by 4.

To turn 2/10 into a percent, the denominator has to be 100 so if you multiply 10 by 10 you will get 100, you will also have to multiply 2 by 10 to get 20 and you will get 20/100

20/100 is equal to 20%

Therefore your answer would be 2/10 or 20%

Hope this helps

- Please mark brainliest :)

Answer:

V=1526.82 mi³

Step-by-step explanation:

The formula for the volume of a right circular cone is V=πr²(h/3).

The radius is half of the diameter of 18, so it is 9 mi.

The height is 18 mi.

Plug in your numbers into the formula.

V=π9²(18/3)

V=π81(6)

V=π486

V=1526.82 mi³

Answer:

X is directly proportional to y means the value of x is dependent on the value of y. y may not be dependent on x in this case.

Y is directly proportional to x means the value of y is dependent on the value of x. Same as above, in this case, the value of x may not depend on y.

Answer:

n((2n+3)(5n+2x))

Step-by-step explanation:

that is the step by step solution

Answer:

Step-by-step explanation:

I can help

Step 1

(5n^2+10xn)(2n-3)  Factorise

Step 2

5n^2+10xn factor

5n(n+2x)

5n(n+2x)(2n-3)

Answer

5n(n+2x)(2n-3)

Hope this helps

Answer: hello your question is not well written but it seems you are asking for the Total distance covered during the rides hence i will give you a general solution

Total distance travelled during rides = 16.36 km

Total duration of rides = 1 hour

Step-by-step explanation:

Given that :

b = number of hours from house to beach

p = number of hours from beach to park

since the total duration of the rides = 1 hour

hence: b + p = 1 ------ ( 1 )

Also ; speed from house to beach = 18 km/hr

         speed from beach to park = 15 km/hr

Given that distance covered in both directions are equal and distance = s * t

Hence distance covered :   18b = 15p ------  ( 2 )

determine the total distance travelled

b + p = 1 ------ ( 1 )

18b = 15 p ----- ( 2 )

from equation 1 : b = 1 - p

18 ( 1 - p ) = 15p

18 = 15p + 18p

p = 18 / 33 = 6/11

back to equation 1

b + 6/11 = 1

hence b = 1 - 6/11 = 5/11

Distance covered in one direction

18 ( 5/11 ) = 15 ( 6/11 )

90 / 11  = 90 /11

hence Total distance covered = ( 90 / 11 ) * 2 = 16.36 km

Answer:

∠ R = 120°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 angles from 180 , that is

subtract 60 from 180

∠ R = 180° - 60° = 120°

Answer:

The value of the missing coordinate 'r' is -10

Step-by-step explanation:

The two points have the following given parameters;

The point coordinates = (4, -17) and (8, r)

The line on which the two points rests has a slope of, m = 3/4

To find the value of 'r', we use the slope formula as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Plugging in the values gives;

[tex]m = \dfrac{3}{4} = \dfrac{-1-r}{11-(-1)} =\dfrac{-1-r}{11 + 1} = \dfrac{-1 - r}{12}[/tex]

[tex]\dfrac{3}{4} =\dfrac{-1 - r}{12}[/tex]

∴ 3 × 12 = 4 × (-1 - r)

36 = -4 - 4·r

36 + 4 = -4·r

r = 40/(-4) = -10

r = -10

Answer:

Step-by-step explanation:

First factor the polynomials and reduce the fractions.

Answer:

4.6cm

Step-by-step explanation: