For a dish that is containing bacteria has a diameter of 0.0001 kilometer. The diameter of a bacterium is 10^-16, the number of times that the diameter would be larger is 10¹² times.
How to solve for the diameterWe have the diameter of the dish to be 0.0001
This is the same as 10⁻⁴
The bacterium has the diameter at 10^-16
The difference between the diameter of the dish than the bacterium would be solved by
1 x 10⁻⁴ / 10^-16
= 10¹²
Hence we would have to say that for a dish that is containing bacteria has a diameter of 0.0001 kilometer. The diameter of a bacterium is 10^-16, the number of times that the diameter would be larger is 10¹² times.
Read more on diameter here:
https://brainly.com/question/23220731
#SPJ1
The graph to the right uses cylinders to
represent barrels of oil consumed by two
countries. Does the graph distort the data or
does it depict the data fairly? Why or why not?
If the graph distorts the data, construct a
graph that depicts the data fairly.
Does the graph distort the data? Why? Or Why not?
A. Yes, because 3D objects always distort the data in graphs.
B. Yes, because the graph incorrectly uses objects of volume to represent the data.
C. No, because the graph is technically correct.
D. No, because the proportions are accurate.
Answer:
C. No, because the graph is technically correct.
Step-by-step explanation:
19.8 is greater than 5.5 by a lot, so 19.8 will look much bigger than 5.5.
Find the perimeter of the entire rectangle shown at right (that is, the length of the outside boundary of the figure). Notice that the areas of two of the parts have been labeled inside the rectangle. Also find the total area. Remember to show all work leading to your solution.
The perimeter and area of the complete rectangle is 52 units and 168 square units.
As per the question statement, We are given a big rectangle in which the area of two small rectangle is given as 40 square units and 30 square units.
We are supposed to find the perimeter and area of the complete rectangle.
Let us first consider the small rectangle with area [tex]A_{1}[/tex] 40 sq units as [tex]R_{1}[/tex] with length [tex]L_{1}[/tex] = 5 units.
Let width of [tex]R_{1}[/tex] be [tex]W_{1}[/tex]
Therefore [tex]L_{1} W_{1} = A_{1}[/tex]
therefore, [tex]5*W_{1} = 40\\W_{1}=8 units[/tex]
Let us now consider the small rectangle with area [tex]A_{2}[/tex] 30 sq units as [tex]R_{2}[/tex]
with length [tex]L_{2}[/tex] = 6 units.
Let width of [tex]R_{2}[/tex] be [tex]W_{2}[/tex]
Therefore [tex]L_{2} W_{2} = A_{2}[/tex]
[tex]6*W_{2} =30\\W_{2}=5 units[/tex]
Now the length of breadth of the big rectangle be L and W respectively.
Therefore L = [tex]5+7=12 units[/tex]
and W = [tex]6+8=14 units[/tex]
Therefore perimeter of main rectangle = [tex]2(L+W)=2(14+12)=52 units[/tex]
And area of main rectangle = [tex]L*W=14*12=168 square units[/tex]
Perimeter: Sum of length of all sides of any 2D shape or figure.Area: The space occupied by the shape or figure in square units.To learn more, click on the link given below:
https://brainly.com/question/6465134
#SPJ9
Rory has 6 lbs ground turkey to make meatballs.he uses 5/8 lb
W
65
X
a-9
Find WX. Figure is not drawn to scale.
Answer:
37
Step-by-step explanation:
WX = a
XY = a-9
WY = WX + XY = 65
So we substitute values:
WY = a + a -9 OR 2a - 9
65 = 2a -9
Then we collect like terms:
2a = 65 + 9
2a = 74 (divide both sides by 2 to get a)
a = 37
Pls solve 8=11-v pls and thank u
Answer:
Step-by-step explanation:
8 = 11 - v
8 - 11 = 11 - v - 11 Subtract 11 from both sides of the equation.
-3 = -v
3 = v Multiply both sides by -1
v = 3
Check:
8 = 11 - 3
8 = 8
what is 12+12-3-3-3-3-3-3-3-3-3-3+1000000
Answer: 999994
Step-by-step explanation:
12+12=24
-3-3-3-3-3-3-3-3-3-3= -30
24-30= -6
-6 + 1000000=999994
Write the prime factorization of 16. Use exponents when appropriate and order the factors from least to greatest
Answer: 2⁴
Step-by-step explanation:
The factors of 16 are 1, 2, 4, 8, and 16. The prime factors of 16 as a product can be written as 2 × 2 × 2 x 2 or 2^4, where 2 is the prime number.
Solve the system of equations.
2x+ 27 + 32 = 5
6x + 3y + 62 = 6
3x + 41 + 42 = 9
Answer:
x=-1
y=2
z=1
Step-by-step explanation:
After substitution we add common terms and make y and z the subject
y= 3-z
z= - 3+ 2y
We substitue the y
z = - 3+2(3-z)
z= 1
and now we subtitute the z to find y
y= 3-z
3-1 = 2
y=2
Now we substitue y and z to find x
x= - 2 - 3/2 + 5/2
x= - 1
Which set of angle measures could be the measures of the interior angles of a triangle?
60°, 45°, and 70°
30°, 85°, and 25°
55°, 90°, and 35°
110", 15°, and 45°
Answer:
(c) 55°, 90°, and 35°
Step-by-step explanation:
Given lists of angle measures, you want to know which could be the interior angles of a triangle.
Angle sum theoremThe angle sum theorem tells you the sum of interior angles of a triangle is 180°. To find the angles that could be those of a triangle, check to see if their sum is 180°.
a) 60 +45 +70 = 175 ≠ 180
b) 30 +85 +25 = 140 ≠ 180
c) 55 +90 +35 = 180 . . . . . . . could form a triangle
d) 110 +15 +45 = 170 ≠ 180
The angle measures 55°, 90°, and 35° could be the interior angles of a triangle.
If k(x) = 5x-6, which expression is equivalent to (k+ k)(4)?
O 5(4+4)-6
O 5(5(4)-6)-6
O 54-6+54-6
O 5(4)-6+5(4) - 6
geometry help me thx
Answer:
AB=5
Step-by-step explanation:
the steps are on top
Luis and Jasmine are making scale drawings of the front of their school for an art contest. Luis uses the scale 3 in. to 10 ft. Jasmine uses the scale 5 in. to 20 ft. The tree in front of the school in Luis's drawing is 7.5 inches tall. How tall is the tree in Jasmine's drawing?
The height of the tree in Jasmine's scale drawing is 6.25 inches.
What is the height of the he tree in Jasmine's scale drawing?A scale drawing is a smaller version of a larger image or drawing. The scale drawing is usually reduced at a constant dimension
Scale of the drawing = original dimensions / dimensions of the scale drawing
The first step is to determine the original height of the tree:
Height of the tree from Luis' scale drawing = (7.5 x 10) / 3 = 25 ft
Height of the tree in Jasmine's scale drawing = (5 x 25) / 20 = 6.25 inches
To learn more about scale drawings, please check: https://brainly.com/question/26388230
#SPJ1
In the following expression, the 2 distributes to the 3 and to the 4:
(2) (3+4) = (2) (3) + (2) (4)
true or false
Answer:
True
Step-by-step explanation:
(2) (3+4) = (2) (3) + (2) (4)
(2) (3+4)=2(7)=14
(2) (3) + (2) (4)=6+8=14
14=14 √
What is the effect on the graph of f(x) = 1/x when it is transformed to
g(x) = 1/x -10?
x
A. The graph of f(x) is shifted 10 units to the left.
B. The graph of f(x) is shifted 10 units to the right.
C. The graph of f(x) is shifted 10 units up.
D. The graph of f(x) is shifted 10 units down.
The correct option is D. The graph of f(x) is shifted 10 units down.
What is defined as the graph?In mathematics, a graph is described as a pictorial depiction or diagram that organizes data or values.
The graph's points frequently represent the relationship among two or more things.
Pictograph refers to the visual representation of information. Each image represents a specific number of items.A bar graph is a graphic illustration of numerical data made up of rectangles (as well as bars) of varying width and height.A circle graph is another name for a pie chart. It demonstrates how well a whole is divided into various parts.For the given question;
The function is given as; f(x) = 1/x
Where x is the domain which is shown on x axis.
and f(x) is the range which is shown on y axis.
Thus, for the relation of g(x) = 1/x -10.
Whatever the value of the input for x, the output is shown on y axis.
Now, as the value expression is decreased by 10, thus the output value for y will reduced by 10.
Therefore, the graph of f(x) will shift downward by 10 units.
To know more about the graphs, here
https://brainly.com/question/19040584
#SPJ9
50 points because why not
Answer: 50 points
Step-by-step explanation:
The scatter plot shows prize money, in thousands of dollars, for a contest over eight consecutive years.
Predict the amount of prize money in year 10 of the contest.
$11,790
$20,340
$35,200
$45,900
Building a regression line from the scatter plot, it is found that the predicted prize money in year 10 of the contest is of: $11,790.
How to find the equation of linear regression using a calculator?To find the equation, we need to insert the entire set of points (x,y) given by the scatter plot in the calculator.
From the scatter plot, the points are approximated as follows:
(1, 9.5), (2,9), (3,7), (4,10), (5,11), (6, 10), (7, 10.5).
With the help of a calculator, the line of best fit to predict the amount of prize money in year x of the contest is given by:
P(x) = 0.32143x + 8.28571
To find the predicted amount in year 10, we have to find the numeric value when x = 10, hence:
P(10) = 0.32143(10) + 8.28571 = $11,500.
The closest option is $11,790, which is different from $11,500 because the coordinates of the points are approximated from the scatter plot and not exact.
More can be learned about linear regression predictions at https://brainly.com/question/22992800
#SPJ1
[[(8-3)×2]+[(5×6)-5])÷5
Answer:
7
Step-by-step explanation:
=[(5)×2]+[(30)-5]÷5
=(10)+(25)÷5
=35÷5
=7
What is 6.9 × 10 to the power of 7 written in standard form?
Answer:
69,000,000
Step-by-step explanation:
UHhhHh 6.9 * 10^7 written in standard form is 69,000,000.
Answer:
6.9 × 10 × 10 × 10 × 10 × 10 × 10 × 10
_____________________________________________________
What is standard form?
We can think of the standard form as the most common way of representing a mathematical element, through numerical form.
Six point nine times 10 to the power of 7 is not in standard form, because the number is described using words.
Exponents are not included under standard form.
________________________________________________________
Additional Information:
https://brainly.com/question/25683990
Have a WONDERFUL day!
When a number is decreased by 10% of itself, the result is 27. What is the number? Write an equation to model the problem
Answer: [tex]x-0.1x=27[/tex]
Step-by-step explanation:
Let x be the number that gets decreased by 10% of itself.
x decreased by 10% of x is 27.
x is 100%, so 100%-10%=90%
So, 90% of x equals 27.
90% = 0.9
0.9x = 27
x = 30
Mi
esson 7: Scale Drawingsons grilsɔ2:0 nozz9J
ool Down: Length of a Bus and Width of a Lakevod look
1. A scale drawing of a school bus has a scale of 1/2 inch to 5 feet. If the length of r
the school bus is 4 1/2inches on the scale drawing, what is the actual length of the bus
The length of the school bus is 45 feet.
Given, School bus has a scale of 1/2 inch to 5 feet.
Length of the school bus is 4 1/2 inches on the scale drawing.
Actual length of the bus = ?
Given scale = 1/2 inch = 5 feet
⇒ 1 inch = 1/2 inch ₊ 1/2 inch
⇒ 1 inch = 5 feet ₊ 5 feet
⇒ 1 inch = 10 feet
Length of school bus = 4 1/2 inches = 4.5 inches.
Actual length:
length of school bus = length in inches × length in feet
4.5 inches = (4.5 × 10) feet
4.5 inches = 45 feet.
Hence we get the actual length of the school bus as 45 feet.
Learn more about Conversions here:
brainly.com/question/16851332
#SPJ9
Determine if each conjecture is true or false. If false,
provide a counterexample.
The sum of any two consecutive prime numbers is also prime.
The product of two even numbersis always divisible by 4.
Answer:
3498
Step-by-step explanation:
Will give brainliest and 50 points read the picture what is the missing number
The appropriate value in the box will be 4. This will be illustrated as 4(5x + 6)
How to calculate the value?It should be noted that an expression is used to show the relationship between the variables involved.
In this case, the appropriate value in the box will be 4. This will be illustrated as:
= 4(5x + 6)
= 20x + 24
In conclusion, the value is 4.
Learn more about expressions on:
brainly.com/question/25968875
#SPJ1
An animal shelter needs to buy 6 pounds of cat food for every cat they have. Complete the following table of cats to pounds of cat food. Cats. Lbs of cat food
0
8
90
96
102
30
Answer:
An animal shelter needs to buy 6 pounds of cat food for every cat they have. Complete the following table of cats to pounds of cat food. Cats. Lbs of cat food
0
Step-by-step explanation:
Answer:
an animal shelter needs to buy 6 pound of cat food for every cat they have . The following table of cat to pounds of cat food
Step-by-step explanation:
Use function notation to write the equation of the line.
please help
Therefore the equation of the line in function-form is f(x)=-2x-1
An equation of a line on the cartesian plane is given by y=mx+c. Here m denotes the slope of the line and c denotes the y-intercept.
Slope of a line is defined as the inclination of the line along the positive x- axis . Slope is calculated by the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}.[/tex] where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are two points on the line.
y-intercept is defined as the point where the line passes through the y-axis.
From the graph we can see that the line passes through (0,-1)and (-1,1)
therefore slope of the line is
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\or, m=\frac{1-(-1)}{-1-0}\\or, m=-2[/tex]
Now we know that the equation of a line passing through a point [tex](x_1,y_1)[/tex] and with slope m is given by
[tex]y-y_1=m(x-x_1)\\[/tex]
Substituting the values in the equation we get
y-(-1)=-2(x-0)
or, y=-1-2x
Therefore the equation of the line in function-form is f(x)=-2x-1 .Hence the second option is correct.
To learn more about the equation of the line visit:
https://brainly.com/question/21511618
#SPJ9
Vector N = 3(i) +3(j) + 10 (k) and vector L is given by L = 2(j) - 13 (k). Find the y component of Z = N+L?
The y component of Z = N+L
Z=3(i)+5(j)-3(k)
Given:
N = 3(i) +3(j) + 10 (k)
L = 2(j) - 13 (k)
Z=3(i)+5(j)-3(k)
Vectors are represented by an alphabet with an arrow over it (or) by an alphabet written in bold. Vector addition can be used to combine two vectors, a and b, and the resultant vector is written as a + b. Before we can learn about the properties of vector addition, we must first understand the conditions that must be met when adding vectors. The following are the terms:
Vectors can only be added if they are of the same type. For example, acceleration should only be added with acceleration and not mass.
Vectors and scalars cannot be added together.
To learn more about Vector addition form the given link:
https://brainly.com/question/12937011
#SPJ9
Write down the next two terms in these quadratic sequences:
9, 13, 19, 27, ___, ___
At a hamburger stand, a burger is $6, a drink is $3, and there is
currently a special offer for a $1 discount on every order.
Write an equation that represents the total cost C of b burgers
and d drinks.
6b+3d-1=C Sorry if I'm wrong, I forgot of Algebra 1
(Adding and Subtracting Linear Expressions MC) Write the following expression in simplest form. (4 + 15.6a) − (7 + 3.7a) 19.3a + (−3) 19.3a + (−11) 11.9a + (−3) 1.19a + (−11)
The expression (4 + 15.6a) − (7 + 3.7a) in simplest form is − 3 + 11.9a
How to write the expression in simplest form?The expression is given as
(4 + 15.6a) − (7 + 3.7a)
Remove the bracket
So, we have
(4 + 15.6a) − (7 + 3.7a) = 4 + 15.6a − 7 - 3.7a
Collect the like terms
So, we have
(4 + 15.6a) − (7 + 3.7a) = 4 − 7 + 15.6a - 3.7a
Evaluate the like terms
So, we have
(4 + 15.6a) − (7 + 3.7a) = − 3 + 11.9a
Hence, the expression (4 + 15.6a) − (7 + 3.7a) in simplest form is − 3 + 11.9a
Read more about expressions at
https://brainly.com/question/723406
#SPJ1
2 Reflect rectangle DEFG across the y-axis to form D'E'F'G'. Then dilate the image by a scale factor of 1/3 with the center of dilation at the origin to form D'E'F'G".
Given points Reflected points Dilated points
D ( 6, 3 ) ⇒ D' ( -6, 3 ) ⇒ D'' ( 2, -1 )
E ( 9, 3 ) ⇒ E' ( -9, 3 ) ⇒ E'' ( 3, -1 )
F ( 9, 12 ) ⇒ F' ( -9, 12 ) ⇒ F'' ( 3, -4 )
G ( 6, 12 ) ⇒ G' ( -6, 12 ) ⇒ G' ( 2, -4 )
Given data
The dimensions of the rectangle DEFG is
D ( 6, 3 )
E ( 9, 3 )
F ( 9, 12 )
G ( 6, 12 )
How to reflect rectangle DEFG across the y-axis to form D'E'F'GReflecting across y axis
Reflecting across y axis is done for example A ( x, y ) to AA
AA will be ( -x, y ).
Using this procedure we get points D'E'F'G' as follows
D ( 6, 3 ) ⇒ D' ( -6, 3 )
E ( 9, 3 ) ⇒ E' ( -9, 3 )
F ( 9, 12 ) ⇒ F' ( -9, 12 )
G ( 6, 12 ) ⇒ G' ( -6, 12 )
How to dilate the image by a factor of 1/3 with the center of dilation at the originTo dilate by factor n with the center of dilation at the origin. for example B ( x, y ) to BB
BB will be ( -nx, -ny )
using the procedure we get the points D''E''F''G" as follows
D ( 6, 3 ) ⇒ D' ( -6, 3 ) ⇒ D'' ( 2, -1 )
E ( 9, 3 ) ⇒ E' ( -9, 3 ) ⇒ E'' ( 3, -1 )
F ( 9, 12 ) ⇒ F' ( -9, 12 ) ⇒ F'' ( 3, -4 )
G ( 6, 12 ) ⇒ G' ( -6, 12 ) ⇒ G' ( 2, -4 )
Read more on reflecting rectangle here: https://brainly.com/question/24607419
#SPJ1
complete question
The complete question is attached
What is 8112 divided by 13
Answer:624
Step-by-step explanation:
Answer:
624
Step-by-step explanation: