Answer:
593
Step-by-step explanation:
[tex]490(2)^8^/^2^9 = 593.25[/tex]
593.25 ≈ 593
The number of bacteria after 8 hours is 593.
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Number of bacteria placed in petri dish = 490
Time required for bacteria to double = 29 hours
Number of bacteria after 8 hours is
⇒ [tex]490(2)^{\frac{8}{29} }[/tex]
⇒ [tex]490(2)^{0.2758}[/tex]
⇒ [tex]490(1.2107)[/tex]
⇒ [tex]593.25149[/tex]
⇒ [tex]593[/tex]
Hence we can conclude that the number of bacteria after 8 hours is 593.
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4w2 + 3W
- 1
5w - 2
Which expression represents the area in square feet that the homeowner will cover with fertilizer?
Question:
A homeowner is building a flower bed in the backyard. He plans to put a layer of fertilizer over the entire flower bed.
[tex]Length = 4w^2 + 3w - 1[/tex]
[tex]Width = 5w - 2.[/tex]
Which expression represents the area in square feet that the homeowner will cover with fertilizer?
Answer:
[tex]Area = 20w^3 + 7w^2 - 11w + 2[/tex]
Step-by-step explanation:
Given
[tex]Length = 4w^2 + 3w - 1[/tex]
[tex]Width = 5w - 2.[/tex]
Required
Determine an expression for the area
Area is calculated as:
[tex]Area = Length *Width[/tex]
[tex]Area = (4w^2 + 3w - 1) * (5w - 2)[/tex]
Expand
[tex]Area = 20w^3 + 15w^2- 5w - 8w^2 - 6w + 2[/tex]
Collect like terms
[tex]Area = 20w^3 + 15w^2- 8w^2 - 5w - 6w + 2[/tex]
[tex]Area = 20w^3 + 7w^2 - 11w + 2[/tex]
Above are Joe’s bank account records. What is Joe’s ending balance? Please help
Answer:
$425
Step-by-step explanation:
475 - 50 = 425
5 1 point > 키 Angles x and y are complementary in the diagram shown. 1 2 Z X 3 35° у 4 What is the measure, in degrees, of angle z? 5 Type your answer... 5
Answer:
∠z = 55°
Step-by-step explanation:
90° - 35° = 55°
Find the area of the triangle 4ft 1ft 8ft please answer need help ASAP thank you ☺️
Answer:
16
Step-by-step explanation:
Answer: 16 ft
Step-by-step explanation:
1/2 = divided by 2)
sameyalingareddy avatar
Area of A Triangle formula: b*h*1/2
4/2=2. 2*8=16
If these four countries trade only with each other, what is the difference between the highest balance of trade and the lowest
balance of trade within this group?
a €4,378,000,000
€2,797,000,000
€1,928,000,000
d €738,000,000
Answer:
€4,378,000,000
Step-by-step explanation: just took the test :)
Answer:
A
Step-by-step explanation:
Took the test
A right prism with rhombus bases is shown. The side length of each rhombus is 5 units. The height of the prism is 16 units. The diagonals of each rhombus measure 6 and 8 units. A right prism with a rhobux base is shown. Each side of the rhombus measures 5 units. Diagonals with lengths of 6 and 8 units are drawn within the rhombus. The height of the prism is 16 units. What is the volume of the prism? 192 cubic units 200 cubic units 384 cubic units 400 cubic units
Answer:
384 cubic units
Step-by-step explanation:
The computation of the volume of the prism is shown below:
As we know that
The volume of the rhombus is
V = Base × height
where,
B = D₁D₂ ÷ 2
= (6)(8) ÷ 2
= 24 units squared
Now the volume of the prism is
V = (24)(16)
= 384 cubic units
Answer:
384 cubic units
Step-by-step explanation:
how do you find the range of 0.3 0.9 0.2 0 0.7 0.9 0.4
Write a unit rate for the situation. Situation: 150 students in 6 classrooms Unit rate: __ students per classroom
help please !!!! (will give brainliest)
GEOMETRY HELP WILL MARK BRAINLIEST!!!!
Answer:
x = 20°
Step-by-step explanation:
Consecutive angles of a parallelogram are supplementary.
x + 160 = 180
x = 20°
the system of equations y=-3x+2 and y=2x-6 is shown on the graph below.
Answer:C
Step-by-step explanation:
which one is correct?
Answer:
SSS or SAS
Step-by-step explanation:
Remark
Since the two diagonals bisect each other, you have created two sets of equal lines. If that is the case, then you could prove the equality of the triangles 2 different ways.
1) The angles at the center are vertically angles which makes them equal. Since they are equal, the triangles are congruent by SAS. Notice that the angle is between the 2 equal sides.
2) Since CD and AB are marked as being equal, the triangles are congurent by SSS.
SIMPLE 7TH GRADE MATH PROBLEM?!?!
Answer:
I'm sure it is 25 hope this helps!!!
Answer:
Should be 25
Step-by-step explanation:
Lol is that pearson realize? i hate that buddy good luck
I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
-6
Step-by-step explanation:
Add or Subtract to simplify
Answer:
3. - 8n² -8n + 3
Step-by-step explanation:
(4n^4 - 8n +4) - (8n² + 4n^4 +1)
Firstly, open the brackets.
= 4n^4 - 8n +4 - 8n² - 4n^4 - 1
Now, group like terms.
= 4n^4 - 4n^4 - 8n² -8n - 1 + 4
4n^4 - 4n^4 cancel out with each other since one is negative and the other is positive. So we're left with - 8n² -8n - 1 + 4
= - 8n² -8n - 1 + 4
= - 8n² -8n + 3
An interior designer wants to place this bed in a home, and she is especially concerned about the headboard, which is 6 feet wide and 5 feet tall. She’ll place the headboard on a wall that is 7 feet wide and 9 feet tall. She needs to know the area of the space that will remain after she places the bed against the wall
Answer:
Step-by-step explanation:
Area of the Wall minus the Area of the headboard
Area = length x width in this use tall as length and wide as width
Area Wall - Area Headboard = (Tall wall)(Wide wall) - (Tall head)(Wide head)
= (9)(7) - (5)(6) feet
= 63 - 30 feet
= ???? I'll let you finish it
The area of the space that will remain after she places the bed against the wall is 30 feet².
What is Area?Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.
We have,
The headboard, which is 6 feet wide and 5 feet tall.
The headboard on a wall that is 7 feet wide and 9 feet tall.
So, Area of remaining space
= Area of the Wall - Area of the headboard
= (9)(7) - (5)(6) feet
= 63 - 30
= 30 feet²
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Write an inequality for the statement the temperature is greater than 100°F
Jenny's great-grandmother is 86 years old. Jenny is 11 years old. What percent of Jenny's great-grandmother's age is Jenny's age
Answer:
12.79%
Step-by-step explanation:
Let :
Great grand mother = 86 years
Jenny = 11 years
Let the percentage = x
x % of great grandmother's age = Jenny's age
x% * 86 = 11
x/ 100 * 86 = 11
86x / 100 = 11
86x = 100 * 11
86x = 1100
x = 1100/86
x = 12.79
x = 12.79%
A used book store is selling 3 records and 5 CDs for $60. You can also buy 6 records and 4 CDs for $80. Find the cost of one CD. Write the linear system that describes this situation.
9514 1404 393
Answer:
3r +5c = 60
6r +4c = 80
Step-by-step explanation:
There are many aspects of "this situation" that could be described by equations. We are guessing that you want equations that will help you determine the costs of a record and a CD, assuming the costs are the same for each instance of the media.
Let r and c represent the costs of a record and a CD, respectively.
3r +5c = 60 . . . . . . . the value of the first purchase
6r +4c = 80 . . . . . . . the value of the second purchase
These equations comprise a linear system describing an aspect of the situation.
_____
Comment on the question
The numbers make no sense, as the cost of a CD is $(6 2/3), the cost of a record is $(8 8/9).
find the greatest Common factor Of the Monomials 14p^2, 21pq and 35q2 is?
Please Help :(
Answer: the greatest common factor is 7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Select all the expressions that are equal to 1/2. ( --- is a minus sign just so you know)
O 18/20 --- 4/10
O 1/8 + 2/3
O 4/12 + 1/6
O 7/8 ---1/4
O 12/15 ---3/5
Answer:
first one, and third one
help! parallel, perpendicular, or neither?
Answer:
parallel
Step-by-step explanation:
Because a is pependicular to k
what’s the distributive property for 3(2x -1)*
Answer:
6x-3
Step-by-step explanation:
remove breceket
3×2 =6
3×-1= -3
answer is 6x-3
Complete the following equation <, >, or = 3.20_ 3.02
Answer:
Step-by-step explanation:
Complete the following equation using , or = 3.20 ___ 3.02 A.
The following equation 3.20 > 3.02
A wheel is made of a circular rim and 8 spokes as shown.
The length of each spoke is 37cm
WORK OUT THE TOTAL LENGTH OF THE RIM AND SPOKES.
Answer:
528.6
Step-by-step explanation:
find the circumference of the circle using:
πd: 22/7*74
add the length of the 4 strokes: 37*8
add the two:
Answer:
528.48cm
Step-by-step explanation:
Total length of all the spokes
37cm*8 = 296cm
Length of the circular rim
2πr = Circumference
2(37)π = 74π
74π = 232.48cm
Overall Length
232.48cm + 296cm = 528.48cm
A helicopter flew north 325 meters and then flew east 500 meters. How far is the helicopter from its starting point?
Answer:
596.34m approx
Step-by-step explanation:
Given data
Let the Starting point be x
A helicopter flew north 325 meters from x
Then flew east 500 meters
Let us apply the Pythagoras theorem to solve for the resultant which is the distance from the starting position
x^2= 325^2+500^2
x^2=105625+250000
x^2= 355625
x= √355625
x=596.34m
Hence the distance from the starting point is 596.34m approx
m<3+m<5=180 true or false
Answer:
False.
Step-by-step explanation:
What is the image of the point (-7,-8)(−7,−8) after a rotation of 270^{\circ}270 ∘ counterclockwise about the origin?
The image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin is (8, -7).
What is counterclockwise ?
Counterclockwise is a direction of rotation that is opposite to the direction of the hands on a clock. It is also known as anticlockwise in some parts of the world. When viewed from above, counterclockwise rotation goes in the direction of a left-handed spiral, while clockwise rotation goes in the direction of a right-handed spiral. In mathematics, physics, and other fields, counterclockwise is often used as a standard convention for the positive direction or orientation of angles, planes, and other geometric objects. In graphical user interfaces, counterclockwise rotation is often used to indicate an undo or reverse action, while clockwise rotation is used to indicate a redo or repeat action.
According to the question:
When a point is rotated by 270 degrees counterclockwise about the origin, the new point is found by switching the x and y-coordinates of the original point, and negating the new x-coordinate. So, to find the image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin, we can use the following formula:
(x', y') = (-y, x)
where (x, y) is the original point and (x', y') is the new point after the rotation
Plugging in the values from the given point, we get:
(x', y') = (-(-8), -7)
Simplifying this expression, we get:
(x', y') = (8, -7)
Therefore, the image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin is (8, -7).
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Really don't understand what the question is asking me to do? Please help
Answer: 105
Step-by-step explanation:
Im not sure what shape that this but I think its a volume problem,
Find the height, length, And the With of the shape,
Height=5
Length=7
With=3
5x7x3=105
A 30 year fixed rate mortgage at 4.5% with principal of $150,000 has a monthly payment of $760 per month. After
30 years, what is the total amount spent on interest?
A) $6,750
B) $123,600
c) $156,750
D) $273,600
Answer:
A 30 year fixed rate mortgage at 4.5% with principal of $150,000 has a monthly payment of $760 per month. After
30 years, what is the total amount spent on interest?
A) $6,750
B) $123,600
c) $156,750
D) $273,600
Step-by-step explanation: