Quadrilateral M' is the image of quadrilateral M under a dilation.
What is the center of the dilation?

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.

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:

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:

9

Step-by-step explanation:

So the formula for a triangular pyramid is v=1/3bh

you plug in the values and you get 63=1/3(21)(h) and since you are finding the height, you get h=63*3/21

and then you check answers with

63=1/3(21)(9) which is true so the height is 9

Answer:

[tex]Average\ Rate = \frac{104}{3}[/tex]

Step-by-step explanation:

Given

See attachment for table

Required

Determine the average rate of change over: 4≤x≤7.

Average rate of change is calculated as:

[tex]Average\ Rate = \frac{f(b) - f(a)}{b - a}[/tex]

Where:

[tex]a=4[/tex]

[tex]b = 7[/tex]

So:

[tex]Average\ Rate = \frac{f(b) - f(a)}{b - a}[/tex]

[tex]Average\ Rate = \frac{f(7) - f(4)}{7 - 4}[/tex]

[tex]Average\ Rate = \frac{f(7) - f(4)}{3}[/tex]

From that table:

f(4) =

f(7) =

So:

[tex]Average\ Rate = \frac{f(7) - f(4)}{3}[/tex]

[tex]Average\ Rate = \frac{108-4}{3}[/tex]

[tex]Average\ Rate = \frac{104}{3}[/tex]

Answer:

D

Step-by-step explanation:

Remember, area equals width x height so you can set up this equation.

[tex]48x^8y^7=6x^2y^4 * w[/tex]

Solving for w,

[tex]\frac{48x^8y^7}{6x^2y^4} =w[/tex]

Simplifying,

[tex]8x^6y^3[/tex]

Thus, D is the answer

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:

can't see the question ⁉️

Answer:

4.6cm

Step-by-step explanation:

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:

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

Answer:

10

Step-by-step explanation:

Tₙ=n+5

T₅=5+5=10

Answer:

Step-by-step explanation:

First factor the polynomials and reduce the fractions.

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:

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:

2

Step-by-step explanation:

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

Answer:

3

Step-by-step explanation:

15*1/5= 3

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:

option 1

Step-by-step explanation:

do i need to?

Answer:

6b + 2

Step-by-step explanation:

If Val is planting b seeds in one and 5b + 2 in the other, the expression showing the total is: b + (5b + 2) or 6b + 2 seeds.

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:

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:

[tex]n^{3} + 15n^{2} + 56n[/tex]

Step-by-step explanation:

First FOIL  (n + 7)(n + 8) and then distribute n

(n + 7)(n + 8) = [tex]n^{2} +15n + 56[/tex]

 n ([tex]n^{2} +15n + 56[/tex])

= [tex]n^{3} + 15n^{2} + 56n[/tex]

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:

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:

$250.8

Step-by-step explanation:

13.4 = $2.85

13.4 x 15 = 111.0

111.0 = $42.75

111.0 x 6 = 666.0

666.0 - 26.0 = 640.0

$42.75 x 6 = $256.5

$2.85 x 2 = $5.07

$256.5 - $5.07 = $250.8

not gona lie this took forever lol

Hope this helps if so don't hesitate to 'Thanks' and/or 'brainliest' this answer!

The total cost of 640 liters of gas is $35.91.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Gas from a local station costs $2.85 per gallon (in US dollars).

We know that, 1 gallon = 3.785 liters

Tara's car gets 13.4 kilometers to the liter.

Number of liters of gas = 640/13.4

= 47.76 liters

Number of gallons = 47.76/3.785

= 12.6 gallons

Total cost = 12.6×2.85

= $35.91

Therefore, the total cost of 640 liters of gas is $35.91.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

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