Heights of certain plants at a nursery are normally distributed with a mean of 52.5 centimeters and a standard deviation of 7.2 centimeters. If their z-scores are greater than 2.25, the plants are displayed in the main lobby. To the nearest centimeter, what is the minimum required height for this type of plant to be displayed in the main lobby? Question 7 options: 68 cm 55 cm 69 cm 56 cm

Answer:

Correct choices are a, b, e

Step-by-step explanation:

As per diagram, the circles are equal.

Since the distance AB is the radius of both circles:

So the answer choices:

a. AC = BC

b. AC = BD

C. CD = AB

d. ABCD is a square

e. ABD is an equilateral triangle

f. CD = AB + AB

Answer:

11/12

Step-by-step explanation:

Nesta questão, estamos interessados ​​em saber em que fração do álbum de figurinhas ambos contribuíram.

Pela pergunta, ficamos sabendo que Karina contribuiu com 1/6 enquanto Cristina contribuiu com 3/4.

Portanto, para encontrar a fração com a qual ambos contribuem, simplesmente adicionamos as duas frações.

Matematicamente, isso seria 1/6 + 3/4 = (2 + 9) / 12 = 11/12

Answer:

z+9(8−x)+8(z+8)=

z+72-9x+8z+64=

9z-9x+136

(3−10)^2−(5−12)^2     parenthesis first

(-7)²-(-7)²=

49-(49)=49-49=0

2^2⋅4^3      exponent first

2*2*4*4*4

4*64=256  

Answer:

81.64 inches.

Step-by-step explanation:

You're looking for circumference here.

d = diameter of the wheel

d = 26 inches.

Input your values:

C = π * d

C = 3.14 * d

C = 3.14 * 26 inches

C = 81.64 inches.

Answer:

C≈81.68 in. thus B is the answer (I used more digits for π).

Step-by-step explanation:

Formula C=2πr

Answer:

1

Step-by-step explanation:

|x| means the absolute value, which is 4 and -4

Answer:

A

Step-by-step explanation:

So we have the equation:

[tex]|x|=4[/tex]

Solve for x. Use the definition of absolute value:

[tex]|x|=4[/tex]

This means that:

[tex]x=4\text{ or } x=-4[/tex]

And... we're done :)

The answer is A.

Answer:

Slope = 1/4

Step-by-step explanation:

Slope = rise/ run

=> slope= 1 = rise / 4 = run

=> Slope = 1/4

Answer:

Increases by a factor 8.

Volume = 685.12.

Step-by-step explanation:

The volume will increase by a factor of 2^3 , because the volume is 3 dimensional.

That is the new volume = 85.64 * 8

= 685.12.

Answer:

Step-by-step explanation:

Diameter ( d ) = 21 cm

Radius is just half of the diameter

Radius ( r ) = [tex] \sf{ \frac{21}{2} }[/tex] = 10.5 cm

Now, let's find the perimeter of a semi - circle :

[tex] \sf \frac{1}{2} \pi \: r \: [/tex]

Plug the values

⇒[tex] \sf{ \frac{1}{2} \times 3.14 \times 10.5}[/tex]

Calculate

⇒[tex] \sf{16.485 \: cm}[/tex]

Hope I helped!

Best regards!

Answer:

Justin's displacement is 12.65 km.

Step-by-step explanation:

Since Justin rides 12 km south, then 4 km west, his displacement can be determined by applying Pythagoras theorem to the sketch of his journey. Let his displacement be represented by s,

[tex]/Hyp/^{2}[/tex] = [tex]/Adj1/^{2}[/tex] + [tex]/Adj2/^{2}[/tex]

[tex]s^{2}[/tex] = [tex]/4/^{2}[/tex] + [tex]/12/^{2}[/tex]

   = 16 + 144

[tex]s^{2}[/tex]  = 160

⇒ s = [tex]\sqrt{160}[/tex]

      = 12.6491

s ≅ 12.65 km

Justin's displacement is 12.65 km.

Answer:

either 3 1/2 or 7/2

Step-by-step explanation:

4 is equal to 8/2

8/2 minus 1/2 is 7/2

7/2 can be simplified to be 3 1/2

Answer:

Yes, you have to move because 1 square is one unit.

Answer:

The difference quotient is 4.

Step-by-step explanation:

Given that:

[tex]g(x) = 4x - 1[/tex]

To find:

Difference quotient = ?

where [tex]h \neq 0[/tex]

Solution:

Formula for Difference quotient is given as:

[tex]\dfrac{g(x+h)-g(x)}{h}[/tex]

First of all, let us find out [tex]g(x+h)[/tex]

Replacing [tex]x[/tex] with [tex]x+h[/tex]

[tex]g(x+h) = 4(x+h)-1 \\\Rightarrow g(x+h) = 4x+4h-1[/tex]

Now,

[tex]g(x+h)-g(x) = (4x+4h-1 )-(4x-1)\\\Rightarrow g(x+h)-g(x) = 4x+4h-1 -4x+1\\\Rightarrow g(x+h)-g(x) = 4h[/tex]

Putting the above value in:

[tex]\dfrac{g(x+h)-g(x)}{h} = \dfrac{4h}{h}[/tex]

We are given that, [tex]h \neq 0[/tex]

[tex]\therefore \dfrac{4h}{h} = 4[/tex]

So, the difference quotient is 4.

Answer:

K = 12

Step-by-step explanation:

10 Cos 30° – 3 Tan 60°

The above expression can be simplified as follow:

10 Cos 30° – 3 Tan 60°

Recall:

Cos 30° = √3/2

Tan 60° = √3

Therefore,

10 Cos 30° – 3 Tan 60°

10 (√3/2) – 3(√3)

5√3 – 3√3

(5 – 3) √3

2√3

To write the above expression 2√3 in the form √K, we simply do the following:

2√3

Find a number, such that the square root of the number will result to 2. The number is 4 as shown below

√4 = 2

Next, replace 2 with √4 in the expression above

2√3

= √4 × √3

= √(4 × 3)

= √12

Therefore,

2√3 = √12

Comparing √12 with √K,

√12 = √K

K = 12

Answer:

1500

Step-by-step explanation:

Step 1: Understand what the question is asking you

It wants to know how much cells do you start off with or in other words how much cells are in the culture when time is 0

Step 2: Set t = 0

[tex]N = 1500(2^{0.18(0)} )[/tex]

Step 3: Solve for N

[tex]N = 1500(2^{0.18(0)} )[/tex]

[tex]N = 1500(2^{0} )[/tex]

[tex]N = 1500(1 )[/tex]

[tex]N = 1500[/tex]

Therefore when the initial amount of cells there in the culture is 1500

Answer:

-2(x - 5)(x + 1)

Step-by-step explanation:

-2x² + 8x + 10

-2(x² - 4x - 5)

-2(x - 5)(x + 1)

Step-by-step explanation:

Hey, there!!

Let's do it simply, ok.

Given that,

[tex] = - 2 {x}^{2} + 8x + 10[/tex]

Take (-2) common to make it easy.

[tex] = -2( 2 {x}^{2} - 8x - 10)[/tex]

= -2{ x^2-(5-1)x -5}

Multily with x,

= -2 {x^2-5x+x-5}

Taking common,

= -2{x(x-5) +1(x-5)

= -2{(x+1)(x-5)}...is your required answer.

Hope it helps...

Answer:

Yes

Step-by-step explanation:

Transformation of a two-dimensional shape or pre-image or polygon in mathematics is the manipulation of the two-dimensional object or pre-image or polygon within a system of coordinates or plane.

Transformations are a guide to the nature of the pre-image and image of two dimensional shape as it is translated within a system of coordinates

Rigid transformations are those that does not involve a change in the size of the pre-image, and includes reflections, rotations, and translations

Therefore, the line undergoes rigid transformation and the dimensions of the line is preserved making it still a line segment.

Bruhhh, I think we got to the same online school XD

Answer:

We have to travel 26.93 units from platform B to C.

Step-by-step explanation:

Length of a segment having coordinates [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is determined by the formula,

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

From the graph attached,

Coordinates of the points B and C are (-25, -20) and (-15, 5) respectively.

Distance between these points B and C Or length of BC will be,

BC = [tex]\sqrt{(-25+15)^2+(-20-5)^2}[/tex]

     = [tex]\sqrt{100+625}[/tex]

     = [tex]\sqrt{725}[/tex]

     = [tex]5\sqrt{29}[/tex]

     = 26.93 units

Therefore, we have to travel 26.93 units from platform B to C.

Answer:

22.4 meters

Step-by-step explanation:

Because the distance and stuff I don't really know sorry

Answer:

5^3 and (-4)^2

Step-by-step explanation:

A^b means a is the base and b is the exponent

Answer:

1587.57 grams

Step-by-step explanation:

1 pound = 453.592 grams.

so multipy that by 3.5

Answer:

Quadrilateral

Four

Parallel

Four

Right

Congruent

Rhombus

Opposite

Connected

Step-by-step explanation:

Answer:

y- intercept (0, -1.2)

x- intercept (-3, 0)

Step-by-step explanation:

Line is given:

Y- intercept:

When x= 0

Point is (0, -1.2)

X- intercept:

When y = 0

Point is (-3, 0)

Answer:

Angle= 135°

Step-by-step explanation:

FUZ CIA

Corresponding angles are equal

Answer:

 (0 + m)/2, (0 + n)/2.

Step-by-step explanation:

The  x coordinate of the  midpoint must be halfway  between the x coordinates of  A and B, and the y coordinate must be  found in the same way.

So the midpoint is  (0 + m)/2, (0 + n)/2.

Answer:

Step-by-step explanation:

Given the volume of the cylindrical soup expressed as V = πr³+ 7πr²

From V = πr³ + 7πr²;

factor out the common variable

V = πr³ + 7πr²

V = πr²(r+7) ... 1

The original volume of a cylinder V =  πr²h .... 2 where;

r is the radius of the cylinder

h is the height of the cylinder

Equating equation 1 and 2, we will have;

πr²(r+7)  =  πr²h

Divide both sides by  πr²

πr²(r+7)/ πr² = πr²h/ πr²

r+7 = h

h = r+7

Hence the factor in the context given is equivalent to the height of the cylinder written as a function of its radius r. The statement means that the height of the cylindrical soup is 7 more than its radius.

Answer:

Step-by-step explanation:

the height of the cylendar is 7 units greater than the radaius

Answer:

6/17

Step-by-step explanation:

Given the following :

Number of caramel = 12

Number of dark chocolate = 16

Number of mint = 7

probability fraction of "selecting a caramel" after selecting a dark chocolate and eating it.

After eating means : picking without replacement.

Probability = (Number of required outcomes / total possible outcomes)

Total number of items = ( 7 + 12 + 16) = 35

After first picking a dark chocolate and eating it, total number of items left in the jar becomes:

(35 - 1) = 34

Then,

P(picking a caramel) = (number of caramels / total number of items)

P(picking a caramel) = 12 / 34 = 6/17

Answer: x = 15

Step-by-step explanation: Since x is multiplied by 3, divide both sides

of the equation by 3 to get x by itself, and show all your work!

Put both sides of the equation over 3

and cancel out the 3's on the left side.

It's tempting to want to show off your

math skills by doing the work in your head.

Don't fall into this trap!

It's extremely important to develop the habit

of writing every step down on paper or digitally.

It will serve you very well for many years.

Answer:

a) 24

b) Bowtown and Dovebury

c) 57

Answer:

Option 1

Step-by-step explanation:

Rational numbers do not have infinite decimals.

Option 1:

-5, 3/4 and √49 are all rational. Correct

√49 = 7

3/4 = 0.75

-5 = -5

Option 2:

1/4 = 0.25

5 = 5

√12 = 3.4641...

Incorrect

Option 3:

-1/2 = -0.5

-3 = -3

√8 = 2.82841...

Incorrect

Option 4:

1/7 = 0.142857...

9 = 9

√11  = 3.31662...

Incorrect

Evin is walking home from the museum. She starts 38 blocks from home and walks 2 blocks each minute. Evin's distance from home is a function of the number of minutes she has been walking.

(a) which variable is independent and which variable is dependent in this scenario?

(b) Fill  in the table below for a variety of time values.

Time, t, in minutes                                0               1            5          10

Distance from home, D, in blocks  

Answer:

Step-by-step explanation:

From the given information:

(a) which variable is independent and which variable is dependent in this scenario?

An independent variable is a variable that when two variable occurs in a particular event, one variable does not in any way affect the event of the other variable.

A dependent variable is a variable where on variable is dependent on the other variable.

From the question given;

time (t) in minutes is the independent variable

Distance D from home is the dependent variable

(b) Fill  in the table below for a variety of time values.

Time, t, in minutes                                0               1            5          10

Distance from home, D, in blocks      

We are being told that Evin starts 38 blocks from home,

Then she is just starting, i.e from rest

Then; at time t = 0 , she is 38 block distance from home

However, if she walks 2 blocks each minute,

then after 1 minute , that will be 38 blocks - 2 blocks = 36 blocks distance from home.

If she walks for 5  minutes,

then she will be (38 - 2(5) ) blocks away from home

= 38 - 10

= 28 blocks away from home

If she walks for 10 minutes,

then she will be (38 -2(10)blocks away from home

= 38 - 20

= 18 blocks away from home.

Time, t, in minutes                                0               1            5          10

Distance from home, D, in blocks      38              36         28        18

Answer:

[tex]\frac{941}{999}[/tex]

Step-by-step explanation:

Let x = 0.941941........

Three digits are repeating. So, multiply both side by 1000

1000x = 941.941941......       (I)

       x =      0.941941....... (II)  {subtract equation (II) from (I)  }

 999x = 941

x = 941/999