A large bacterium measures 750 micrometers in diameter. One micrometer = 10 − 6 meters. How would you express the diameter of the bacterium in meters using scientific notation? A. 7 . 5 × 10 − 8 B. 750 × 10 − 6 C. 75 × 10 − 5 D. 7 . 5 × 10 − 4

Answer:

x = 0 -> use the second

2(0)²-3(0)+10

h(0)= 10

x= 4 -> use the 3rd

h(4)=2⁴ = 16

The value of h(0) is 10, and h(4) is 16 because the function is a piecewise function.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a piecewise function shown in the graph:

When x = 0

h(x) = 2x² -3x + 10,  0 ≤ x , 4

h(0) = 2(0)² -3(0) + 10

h(0) = 10

When x = 4

h(x) = 2ˣ

h(4) = 2⁴ = 16

Thus, the value of h(0) is 10, and h(4) is 16 because the function is a piecewise function.

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Answer:

6/7

Step-by-step explanation:

Step-by-step explanation: it 6

Answer: 252m^2 (squared)

Step-by-step explanation: 2×(6×3 + 6×12 + 3×12) = 252m^2

Answer:

The answer should be 2520

Answer:

720 possible orders

Step-by-step explanation:

To order 6 people in a line, let's imagine them as 6 possible spaces:

( )( )( )( )( )( )

Going from left to right, let's start with space 1.

There are 6 possibilities for space 1 as any of the 6 people could occupy that space in the line.

(6)( )( )( )( )( )

Next, since one person will have already occupied space 1, there are only 5 people left who can occupy space 2, so there are 5 possibilities for space 2:

(6)(5)( )( )( )( )

Continuing in this fashion, there are now only 4 people left so 4 possibilities for space 3 and etc.

(6)(5)(4)(3)(2)(1)

This means we have 6,5,4,3,2 and 1 possibilities for each space respectively.

Multiply them together and we have:

6x5x4x3x2x1 = 720 possible orders.

Hope this helped!

Answer:

We have to arrange 6 people in line

. Now, the number of ways to arrange n items = n!.

Hence, the answer is 6!=

=6×5×4×3×2×1= 720 orders

Answer:

5 hrs  19.57 Minutes will be taken to prepare 1575 Bags by Ashley & her 4 friends if Ashley take 2/3 minute to prepare a bag & her each friend takes 75% Longer

Step-by-step explanation:

Ashley Takes  2/3  minute to prepare a bag

=> ashley prepare bag in 1 minute = 3/2  

Her friends takes 75%  Longer to prepare a bag

time taken by her friends =  2/3  + (75/100)(2/3)

= (2/3)( 1  + 3/4)

= (2/3)(7/4)

= 7/6  Minutes

Her one friend prepare bag in 1 minute =  6/7

Bag prepared by Ashley & her 4 friend in 1 Minute

=  3/2  +  4*6/7

=  (21 + 48)/14

= 69/14  Bag

69/14   Bag prepared in 1 minute

1 Bag prepared in    14/69   minutes

1575  bags prepared  in   1575  * 14/69

= 319.57 minutes

= 5 hrs  19.57 Minutes

Answer: I and III

Step-by-step explanation:

The graphs of f and g have the same axis of symmetry. The graph of f has a maximum point, and the graph of g has a minimum point. The graph is a result of a reflection of the graph pf g across the x-axis. The correct options are 1, 3, and 4.

A quadratic polynomial in mathematics is a polynomial of degree two in one or more variables. The polynomial function defined by a quadratic polynomial is known as a quadratic function.

We can use the fact that the points (3,2) and (7,2) are on the graphs of both functions to find out which of the given statements are true.

Let's start by using the fact that the graphs of the functions f and g pass through the points (3,2) and (7,2).

Since the y-coordinate is the same for both points, we can set the equations of the functions equal to 2 and solve for the unknown coefficients.

For the downward-opening quadratic function f, the equation is of the form:

[tex]f(x) = a(x - h)^2 + k[/tex]

Where (h,k) is the vertex of the parabola. Since f opens downward, the coefficient a is negative.

Using the point (3,2), we get:

[tex]2 = a(3 - h)^2 + k[/tex]

Using the point (7,2), we get:

[tex]2 = a(7 - h)^2 + k[/tex]

Subtracting the second equation from the first, we get:

[tex]0 = a[(3 - h)^2 - (7 - h)^2][/tex]

Simplifying this expression, we get:

0 = a[(3 - h + 7 - h)(3 - h - (7 - h))]

0 = a[-4(h - 5)]

Since a is non-zero (otherwise the parabola is not quadratic), we get:

h = 5

Plugging in h = 5 and using one of the equations above, we can solve for k:

[tex]2 = a(3 - 5)^2 + k[/tex]

2 = 4a + k

k = 2 - 4a

Therefore, the equation of the quadratic function f is:

[tex]f(x) = a(x - 5)^2 + (2 - 4a)[/tex]

Using the same method for the upward-opening quadratic function g, we get:

[tex]g(x) = b(x - 5)^2 + (2 + 4b)[/tex]

Where b is positive.

Now, let's check which of the given statements are true:

The graphs of f and g have the same axis of symmetry.

Since the vertex of f is (5, 2 - 4a) and the vertex of g is (5, 2 + 4b), the x-coordinate of the axis of symmetry for both functions is 5. Therefore, statement 1 is true.

The graphs of f and g have the same x-intercepts.

The x-intercepts of f are given by:

[tex]0 = a(x - 5)^2 + (2 - 4a)\\4a = a(x - 5)^2[/tex]

x - 5 = ±√(4/a)

x = 5 ± 2√(a)

The x-intercepts of g are given by:

[tex]0 = b(x - 5)^2 + (2 + 4b)[/tex]

-4b = [tex]b(x - 5)^2[/tex]

x - 5 = ±√(-4/b)

x = 5 ± 2i√(b)

Thus, since a and b have opposite signs, the x-intercepts of f and g are different. Therefore, statement 2 is false.

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Step-by-step explanation:

In cuboid .

Volume

= Length * breadth * height

= 12 m * 6 m * 5 m

= 360 m³

Hope it will help :)❤

Answer:

Step-by-step explanation:

To find volume we need to do length × width × height

We know the length is 12, the width is 6 and the height is 5

[tex]12*6=72[/tex]

[tex]72*5=360[/tex]

Once you have multiplied the numbers, you add the form of measurement which in this case is meters/m. So we will add m to the end.

Also since it is volume, we need to add ^3

360 m^3

Answer:

23 yards

Step-by-step explanation:

Answer:

.25881

Step-by-step explanation:

sin15

=sin(45-30)

=sin45.cos30-cos45.sin30

=(0.707×0.86)-(0.707×0.5)

=(0.6082)-(0.3535)

=0.25

pretty sure its y=2^x aka B

Answer:

1,260:280

or

1,260 to 280

or

1,260/280 Simplified → 4 1/2

Step-by-step explanation:

Since it asks for apples first put the amount first apples first to the amount of bananas second, since it asks for bananas second.

Answer:

10

Step-by-step explanation:

Here is why.

The angle going down is 10 meters long.

Therefore it would be ten.

Any questions?

Answer:

10

Step-by-step explanation: i just did it in school a few days ago gg

Answer:

how would i know the answer

Step-by-step explanation:

Answer:

x = 9

z = 71

Hope this helps!

43º é  th

dgggg  ggddddddd

Answer:

good luck

Step-by-step explanation:

i have no clue but plz r8 5

Answer:

profit %=35%

cp=Rs15

sp=?

profit amount =?

now,

sp=35%of cp

=35 of 15

__

100

= 5.25

again,

sp =cp + profit

=15+5.5

=20.5#

Step-by-step explanation:

hope it helps

Answer:

Opposite sides are congruent

Step-by-step explanation:

you can create equations -18 + 7x = 3x + 14 and 13y = 9 + 10y to solve for x and y to find the length of each side and whether they(the two pairs of opposite sides) are congruent or not

Answer:

A: 2 Feet

Step-by-step explanation:

Got it right

Answer:

C) SSS

Step-by-step explanation:

SSS stands for "side, side, side" and means that we have two triangles with all three sides equal.  

If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

240 is the answer you're looking for!

Step-by-step explanation:

To find the area, spilt the trapezoid into 3 shapes.

2 triangles (at the ends) and 1 rectangle (the center).

Let's start with the rectangle, the formula for rectangle area is:

[tex]l*w=A[/tex]

The length of the rectangle is 12, the width is 20. Add the numbers in:

[tex]12*20=A[/tex]

Solve:

[tex]12*20=240[/tex]

The area of the rectangle is 240. Now solve for the Triangles.

The formula for finding the area of triangles are is:

[tex](L*W)/2[/tex]

The length of the triangle is 12. To find the width subtract 20 from 30.

L = 12, W = 10. Add in the numbers.

[tex](12*10)/2 = A[/tex]

Use order of operations to solve, start with parenthesis:

[tex]120/2=A[/tex]

Rember to divide it by 2 because a triangle is half of a rectangle.

[tex]60 =A[/tex]

Since there are two identical triangles, you don't need to solve for the other

Now, add the areas together:

[tex]60 + 120+60=A[/tex]

Then solve:

[tex]180+60=A[/tex]

[tex]240=A[/tex]

The correct answer is 240.

Answer:

A

Step-by-step explanation:

X is 6 or less so we can start there  x≤6. X is also more than -5 so we can do that. -5<x. If we put those two together we get -5<x≤ 6.

The expression for the statement is option (A) [tex]-5 < x\leq 6[/tex] is the correct answer.

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal.

For the given situation,

The statement of inequality is x is 6 or less and more than – 5

The inequality for x is 6 or less ,

⇒ [tex]x\leq 6[/tex]

The inequality for x is more than – 5

⇒ [tex]x > -5[/tex]

Thus x is 6 or less and more than – 5 can be written as inequality,

⇒ [tex]-5 < x\leq 6[/tex]

Hence we can conclude that the expression for the statement is option (A) [tex]-5 < x\leq 6[/tex] is the correct answer.

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The question is incomplete as the stem and leaf plot required to to provide data for y question isn't given.

In other to help with this question, I have attached a stem and leaf plot with 10 data values and I will be calculating the required statistical measures for the dataset. The knowledge can thus be applied to solve similar questions on your exact data set.

Answer:

Kindly check explanation

Step-by-step explanation:

Firstly, we need to write out values if the dataset :

Each value in the dataset is a combination of the stem and the corresponding leaf or leaves.

For the stem plot attached :

Dataset , X : 08, 12, 17, 18, 19, 22, 23, 31, 35, 40

The mean :

Σx / n

n = sample size = 10

= 225 / 10

= 22.5

Arranging data on ascending order :

08, 12, 17, 18, 19, 22, 23, 31, 35, 40

The median :

1/2(n+1)th term

1/2(11)th term = 5.5 th term = (5+6)th term / 2

Median = (19+22)/2 = 20.5

Mode = all dataset (since they all occur once).

Range = (maximum - minimum) = 40 - 8 = 32

Interquartile range : (Q3 - Q1)

Q3 = 3/4(n+1)th term ; 3/4(11) = 8.25th term

Q3 = (8th + 9th) term / 2 = (31+35)/2 = 33

Q1 = 1/4(n+1)th term ; 1/4(11)th term = 2.75 th term

Q1 = (12+17)/2 = 14.5

Interquartile range : (Q3 - Q1) = 33 - 14.5 = 18.5

Answer:

Median: 11

Mode: 3

Range: 30

Step-by-step explanation:

Just took the test :D

Answer:

A (I think because i cant tell what the answers are saying)

Step-by-step explanation:

1.5/5= 0.3

3/10=0.3

4.5/15=0.3

6/20=0.3

Next time take a screenshot because i can not really see what the answers are supposed to be. But A is the only one that should be correct

Answer:

I believe it would be A

Step-by-step explanation:

A deck of cards has 52 cards in it, so it cant be C or D, and with all the possibilities it could not be B