Answer:
5.55 points
Step-by-step explanation:
25% reduction so its 75% of the original value
75% of 7.4 is 5.55
Dr. shepherd is studying a bacterial colony with a population of 29,600 bacteria. the colony is
growing 5% per hour. how many bacteria will the colony contain in 12 hours?
if necessary, round your answer to the nearest whole number
bacteria
Answer:
53,157
Step-by-step explanation:
The population growth of a bacterial colony can be modeled by an exponential function of the form ...
p(t) = a·b^t
where a is the initial population and b is the growth factor. The growth factor is ...
b = 1 +r
where r is the growth rate.
__
In this problem we have ...
a = 29,600
b = 1 +5% = 1.05
t = 12
So, the population after 12 hours is
p(12) = 29600×1.05^12 ≈ 53,157
The colony will contain 53,157 bacteria in 12 hours.
volume of hemisphere whos area is 12.5 ft squared
Answer:
radius r = 1.41047396 m
base circumference C = 8.86226925 m
volume V = 5.87697483 m^3
curved surface area A = 12.5 m^2
base surface area B = 6.25 m^2
total surface area K = 18.75 m^2
In Terms of Pi πbase circumference C = 2.82094792 π m
volume V = 1.87069919 π m3
curved surface area A = 3.97887358 π m^2
base surface area B = 1.98943679 π m^2
total surface area K = 5.96831037 π m
Step-by-step explanation:
r = radiusC = base circumferenceV = volumeA = curved surface areaB = base surface areaK = total surface areaπ = pi = 3.1415926535898√ = square rootHemisphere Formulas in terms of radius r:Volume of a hemisphere:V = (2/3)πr^3
Circumference of the base of a hemisphere:C = 2πr
Curved surface area of a hemisphere (1 side, external only):A = 2πr^2
Calculate the base surface area of a hemisphere (a circle):B = πr^2
Total surface area of a hemisphere:K = (2πr^2) + (πr^2) = 3πr^2
Answer:
Approximately 6.4 ft³
Step-by-step explanation:
A *hemisphere* is half of a sphere. As far as surface area goes, we not only need to account for the curved area, but also the area of the circular disc at the bottom. The area of the curved region is going to be half the area of the whole sphere. Since a sphere with radius r has a surface area of 4πr², the curved part of the hemisphere must have half that, or 2πr². Add in the area of the circular disc, πr², and we have a total area of 3πr². Setting this equal to the given area of 12.5 ft², we can solve for r:
[tex]3\pi r^2=12.5\\r^2=12.5/3\pi\\\\r=\sqrt{12.5/3\pi}[/tex]
Now, using the formula for the volume of a sphere, [tex]V=(4/3)\pi r^3[/tex], we can substitute our new value for r and solve:
[tex]V=(4/3)\pi r^3\\=(4/3)\pi(\sqrt{12.5/3\pi})^3\\\approx 6.4[/tex]
A class of 28 students has 13 boys and 15 girls. what is the ratio of boys to girls in the class?
A broken scale shows a false weight that is always higher than the actual weight by
the same number of grams. When a mobile phone is put on the scale, it shows 202
grams. When an headphone is put on the scale, it shows 221 grams. When the mobile
phone and the headphone are put on the scale together, it shows 415 grams. What is
the actual weight of the mobile phone in grams?
The actual weight of the mobile in grams is 194 grams.
What is Equation?In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
As broken scale shows a false weight that is always higher than the actual weight by the same number of grams.
When a mobile phone is put on the scale, the real weight will be 'x'
but it shows,
x+a= 202
When an headphone is put on the scale, the real weight will be 'y'
but it shows,
y+a=221
When the mobile phone and the headphone are put on the scale together, the weight is
x+y+a= 415
So,
x+221=415 [Since y+a= 221 grams]
x= 194 grams
The actual weight of the mobile phone in grams is 194 grams.
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Cacular m<) ABC
Ayuda
Answer:
m∡ABC=140º
Step-by-step explanation:
What is 4(5x^{2} )+16=400
Step-by-step explanation:
4(5x²) + 16 = 400
5x² + 4 = 100
5x² = 96
x² = 19.5
x = ±sqrt(19.5) = ±4.415880433...
If y varies directly as x and x=3 when y=12, find x when y=3
Answer:
Answer:
y = 4x
Step-by-step explanation:
Given that x and y vary directly then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition x = 3 when y = 12
k = = = 4
y = 4x ← equation of variation
solve the system using substitution. show all work. {4x + 5y = 7 {y = 3x - 10
Answer:
x = 3, y = -1.
Step-by-step explanation:
4x + 5y = 7
y = 3x - 10
Substitute for y = 3x - 10 in the first equation:
4x + 5(3x - 10) = 7
4x + 15x - 50 = 7
19x = 7 + 50 = 57
x = 57/19 = 3.
Now plug x = 3 in the second equation
y = 3(3) - 10
y = 9 -10
y = -1.
(1) the fear of genetically modified foods is not based in facts. (2) the food and drug administration holds genetically modified foods to the same standard as traditional foods, which means that these new products are equally as safe as products that are already on grocery shelves. (3) in addition, common fruits, including nectarines and seedless grapes, are a result of genetic breeding. what would be the best way of revising the second sentence for a presentation?
In order to revise the second sentence for a presentation, the best thing to do would be to break it up into two sentences.
How can we revise the second sentence?The second sentence is quite long and so would not be the best fit for a presentation.
We can solve this by breaking it into two sentences such as:
The Food and Drug Administration holds genetically modified foods to the same standard as traditional foods. This means that these new products are equally as safe as products that are already on grocery shelves.This makes the presentation more readable and ensures that the information is better passed on.
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Answer:
B - Breaking into two sentences
Step-by-step explanation:
Edge 2023
Factor the common factor out of each expression.
-8b+4
Answer:
Common Factor is 4.
Step-by-step explanation:
-8b + 4
Both have a 4 in it.
-8b + 4 / 4 = -2b
Write an explicit formula for an,the Nth term of the sequence 4,12,36
Answer:
[tex]3^{n}+3^{n-1}[/tex]
Step-by-step explanation:
Since the sequence is geometric (it multiplies the previous number each time). The nth term sequence would be [tex]x^n + yn[/tex]
Because the sequence multiplies by 3 each time, The base number in that equation would be [tex]3^n +yn[/tex].
So [tex]3^n[/tex] of the equation would be:
[tex]3, 9, 27[/tex].
Compare the 2 equations:
4, 12, 36
3, 9 ,27
The difference between the 2 equations is: 1, 3, 9 which itself is a geometric sequence so the nth term of this new equation is: [tex]3^{n-1}[/tex].
Combine these 2 equations together and you get:
[tex]3^{n}+3^{n-1}[/tex].
please help me find unknown size of angles
PLEASE HELP ME! I WILL MARK THE BRAINLEIST
Answer:
Part B:3/6 should be your answer answer:)!
Part C:The side length is 4 feet 6 inches, it is a rational number because both numbers can be showed as a fraction.
Step-by-step explanation:
Which of the following pairs of numbers has 16 as their greatest common factor?
32, 48
32, 48
32, 62
32, 62
48, 36
48, 36
42, 16
42, 16
Answer:
32, and 48. This is the greatest factor of 16
. What is the area of this polygon?
10 m
9 m
8 m
15 m
Answer:10 squared plus 9 squared equals 15 squared
Step-by-step explanation:
take the square root of your answer
Somebody please help I’ve been stuck on this question for 2 hours
The volume of the cylinder when its radius is tripled is 405π unit³.
What is the volume of the cylinder when its radius is tripled?The volume of the cylinder when its radius is tripled is calculated by applying the formula for volume of a cylinder as follows;
V = πr²h
where;
r is the radius of the cylinderh is the height of the cylinderV is the volume of the cylinderV₁/r₁² = V₂/r₂²
where;
V₁ is the initial volume = 45π unit³
r₁ = 3 units
when the radius is tripled, r₂ = 3r₁
V₁/r₁² = V₂/r₂²
V₂ = (V₁/r₁²) x r₂²
V₂ = (V₁/r₁²) x (3r₁)²
V₂ = 9V₁
V₂ = 9 x 45π unit³
V₂ = 405π unit³
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The volume of a water walking ball is $\frac{4}{3}\pi$
cubic meters. Find the diameter of
the water walking ball.
A photo shows a small boy inside a water walking ball in a pool.
The diameter is
meters.
If the radius of the ball is 1 meter. Then the diameter of the ball will be 2 meters.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The volume of a water walking ball (in cubic meters) is given below.
[tex]\rightarrow\dfrac{4}{3}\pi[/tex]
Then the diameter of the sphere will be
We know the volume of the sphere is given as
[tex]V = \dfrac{4}{3}\pi r^3[/tex]
where r is the radius of the ball.
Then the radius of the ball will be
[tex]\rm \dfrac{4}{3}\pi = \dfrac{4}{3}\pi r^3\\\\r^3 \ = 1\\\\r \ \ = 1\ m[/tex]
Then the diameter of the ball will be
d = 2r
d = 2 × 1
d = 2 m
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Mr. Plati's class has 3 1/2 quarts of paint. They use 2/3 of the paint for the mural.
How many quarts of paint did the class use for the mural?
Answer:
2.32
Step-by-step explanation:
will mark brainliest to whoever gets it right
Answer:
x = 74 degrees
Answer:
74 degrees
Step-by-step explanation:
Remember that CO interior angles equal to 180 degrees so what you need to simply do is do 180 minus 106 degrees giving you 74 degrees as your answer
Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero. Which statement must be true?
The pool must have been empty for the entire interval.
The pool must have been the same depth at the start of the interval as it was at the end of the interval.
The pool must have been deeper at the end of the interval than it was at the start of the interval.
The pool must have been more shallow at the end of the interval than it was at the start of the interval.
The correct answer is option B which is the pool must have been the same depth at the start of the interval as it was at the end of the interval.
What is the rate of change?The rate of change is defined as the changes that occur in any data with respect to time like changing of level of water respect to time. Changing of the position of any object with respect to time that is speed.
Here in the question, it is given that Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero. The meaning of this statement is that the level of the water in the pool is the same as that of the level two weeks ago.
Therefore the correct answer is option B which is the pool must have been the same depth at the start of the interval as it was at the end of the interval.
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Which of the following is a true statement?
6/16 > 7/24
3/5 <5/16
6/16 > 4/10
4/8 < 5/16
The fractional expression 18/48 is greater than 14/48 or 6/16 is greater than 7/24. Then the correct option is A.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The expressions are 6/16 and 7/24.
Then the LCM of the 16 and 24 will be 48.
Then the expressions will be 18/48 and 14/48.
The fractional expression 18/48 is greater than 14/48 or 6/16 is greater than 7/24.
Thus, the correct option is A.
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A cylinder and a cone have the same radius and height. The volume of the cylinder is 150 in^3. What is the volume of the cone?
Answer:
50 cm³
Step-by-step explanation:
Given volume of cylinder is 150 in³
we know that The volume of cone 1/3rd of cylinder.
Then volume of cone is 150/3 = 50 cm³
Felix’s Feed Mill sells chicken feed for $8.00 per bag. This price is no longer high enough to create a profit. Felix decides to raise the price. He is considering four different plans.
Plan A: Raise the price by $0.10 each week until the price reaches $12.00.
Plan B: Raise the price by 10 percent each week until the price reaches $12.00.
Plan C: Raise the price by the same amount each week for 8 weeks, so that in the eighth week the price is $12.00.
Plan D: Raise the price by $0.25 each week until the price reaches $12.00.
Which plan will result in the price of the feed reaching $12.00 fastest?
plan A
plan B
plan C
plan D
Answer:
B
Step-by-step explanation:
essentially the plan that increases the price the most per week reaches the goal of $12 fastest.
plan A is $0.10 per week.
plan B it is not clear, if it means 10% of the original price every week, or every week 10% of the price of the previous week. I assume the first and simplest.
that means 10% of $8 = $0.80 per week.
plan C : the same amount every week until reaching $12. we need to increase in total by $4 (from $8 to $12). to reach these $4 in 8 weeks, we need to increase the price every week by 4/8 = $0.50.
plan D : $0.25 per week.
so, the plan with the highest increase every week and therefore the fastest one reaching $12 is plan B.
6 cookies cost $3.60. What is the cost of 20 cookies?
Answer:
20 cookies - $ 12
Step-by-step explanation:
6 cookies - $3.60
20 cookies - X
X = (20 · 3,60) : 6
X = $ 12
Answer:
$12
Step-by-step explanation:
let the cost of 20 cookies= y
ok!!!
since 6 cookies ---------------$3.60
20 cookies will cost--------- y
making y subject
y= 3.60×20/6
y= 72/6=$12
therefore, 6 cookies will cost $ 12
PLEASE HELP WILL MARK BRAINLIEST WITH 100 POINTS
What is the best way to describe the center of the data represented in this line plot?
Select from the drop-down menus to correctly complete the statement.
The
median
mean
is
1 inch
1.5 inch
1.8 inch
2 inches
Line plot titled Daily Rainfall. The number line is labeled Number of inches. There are 3 dots above 0, 3 dots above 1, 1 dot above 2, 1 dot above 3, 1 dot above 4, and 1 dot above 6.
.
Answer:
Mean = 1.8 in
Step-by-step explanation:
MedianThe Median is the middle value when all data values are placed in order of size.
Ordered data values: 0, 0, 0, 1, 1, 1, 2, 3, 4, 6
As there is an even number of data values, the middle value is the mean of the middle two data values. Therefore, the Median = 1 in
MeanThe Mean is the sum of all data values divided by the total number of data values.
[tex]\implies \textsf{Mean}=\dfrac{0+0+0+1+1+1+2+3+4+6}{10}=1.8[/tex]
Therefore, the Mean = 1.8 in
ConclusionThe Median is a better measure of central tendency when the data includes outliers (data values that are far away from the majority), as it is not affected by those outliers. As there does not appear to be any outliers in this data set, the mean can be used to best describe the center of the data.
Therefore, the Mean = 1.8 in
explain how to correctly find the missing side.
Will Mark Brainist If Correct!
Let's check Pythagorean theorem
A²+B²=C²A is perpendicular
B is base
C is Hypotenuse
A²+4²=13²A²+16=169A²=153A=3√17Answer:
[tex]3 \sqrt{17}[/tex]
Step-by-step explanation:
The given triangle is a right triangle. Therefore, we can use Pythagoras Theorem to find the measure of the third side.
Pythagoras Theorem
[tex]a^2+b^2=c^2[/tex]
where:
a and b are the legs of the right trianglec is the hypotenuse (longest side) of the right triangleFrom inspection of the given triangle:
a = 4c = 13To calculate the measure of the third side "b", substitute the given values into the formula and solve for b:
[tex]\begin{aligned}a^2+b^2 & = c^2\\\implies 4^2+b^2 & = 13^2\\16+b^2 & = 169\\16+b^2-16 & = 169-16 \\b^2 & = 153\\\sqrt{b^2} & =\sqrt{153}\\b & = \sqrt{9 \cdot 17}\\b & = \sqrt{9}\sqrt{17}\\b & = 3\sqrt{17}\end{aligned}[/tex]
Therefore, the measure of the third side of the given right triangle in simplest radical form is [tex]3 \sqrt{17}[/tex].
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One winter day, the temperature ranged from a high of 20F to a low of -2F. By how many degrees did the temperature change?
Answer:
22 degrees F
Step-by-step explanation:
[tex]20--2=20+2[/tex]
Subtracting a negative number makes the sign positive, so 20 + 2 = 22 degrees F.
solve for X: -4x - 4 = -4(x+2)
Step-by-step explanation:
X= -4x-4=-4(x+2)
X=-4x-4=-4x-8
X=-4x+4x=-8+4
X=-4
Answer:
so there is no x but it looks like it is undefined
Step-by-step explanation:
-4x - 4 = -4(x+2) 1. multiply -4 with x and 2
-4x - 4 = -4x - 8 2. + 4 on both sides
-4x = -4x - 4 3. +4x on both sides
0 = -4
What is the surface area of this rectangular pyramid?
5 mm
4 mm
4 mm
___ square millimeters
You need new shoes for work which cost $70. You earn $400 net income each week, but have expenses totaling $380 each week. If you set aside the difference between your weekly income and expenses, how many weeks will it take you to save enough to buy the shoes?
Amount earned per week=400-380=$20
Price of one shoe=70$
Total weeks
70/203.5Minimum 4 weeks
Answer:
4 weeks
Step-by-step explanation:
Given:
$400 = weekly net income$380 = weekly expensesTherefore,
Weekly surplus = weekly net income - weekly expenses
= $400 - $380
= $20
Given:
Cost of new shoes = $70Weekly surplus = $20Number of weeks = cost of new shoes ÷ weekly surplus
= $70 ÷ $20
= 3.5
= 4 weeks (rounded to nearest week)
Therefore, it will take 4 weeks to save enough to buy the shoes.