is given that the number of bacteria doubles every hour.
Therefore, the number of bacteria after every hour will form a G.P.
with first term (a=30) and common ratio (r=2)
∴a
3
=ar
2
=(30)(2)
2
=120
Therefore, the number of bacteria at the end of 2nd hour will be 480.
a
5
=ar
4
=(30)(2)
4
=480
and a
n+1
=ar
n
=(30)(2)
n
Thus the number of bacteria at the end of nth hour will be (30)(2)
n
All polygons having congruent
sides and angles are described
as being
A. congruent
B. equilateral
C. regular
D. irregular
(Regular is wrong… I just tried that)
Between 1966 and 1976 by what percentage did the average number of passengers per aircraft increase?
A 38
B 58
C 61
D 137
Answer:
C 61
Step-by-step explanation:
what is the quotient and remainder for 56,677 divided by 8
Answer:
quotient: 7084
remainder: 5
Why is Pluto not a planet? Give at least 2 reasons why it was moved to a dwarf planet status.
Answer:
1.) It's too small to be considered a planet.
2.)it did not meet the three criteria the IAU uses to define a full-sized planet.
WHAT IS [tex]\frac{P^{8} +1}{P^{4} }[/tex] WHEN [tex]P-\frac{1}{P}=11\\[/tex]
Answer:
5.4232
Step-by-step explanation:
this should be correct
Having some trouble with this question, any help? A wire supporting a radio tower is secured to the ground 14 m from the base of the tower. If the angle between the ground and the wire is 57°, what is the height of the tower, to the nearest tenth of a metre?
By using what we know about right triangles, we will see that the height is 11.7 m.
How to find the height of the tower?We can view this as a right triangle, such that the wire is the hypotenuse of said triangle.
We know that the hypotenuse measures 14 m, and the angle between the ground and the wire si 57°. The height would be the opposite cathetus to that angle, so we can use the rule:
Sin(a) = (opposite cathetus)/hypotenuse
Replacing the values we get:
Sin(57°) = H/14m
Sin(57°)*14m = H = 11.7m
The height of the tower is 11.7 meters.
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A square has an apothem measuring 2.5 cm and a perimeter of 20 cm. what is the area of the square, rounded to the nearest square centimeter? 13 cm2 25 cm2 50 cm2 100 cm2
The area of the square, which has an apothem measuring 2.5 cm and a perimeter of 20 cm is 25 cm².
What is the area of square?Area of square is the square of its side's length. It can be given as,
[tex]A=a^2[/tex]
Here, (a) is the length of the side of the square
A square has an apothem measuring 2.5 cm and a perimeter of 20 cm. The perimeter of the square is 4 times the sides of the square.
Let suppose the side of this square is a cm. thus,
[tex]4a=P\\4a=20\\a=\dfrac{20}{4}\\a=5\rm\; cm[/tex]
The area of the square is,
[tex]A=5^2\\A=25\rm\; cm^2[/tex]
Hence, the area of the square, which has an apothem measuring 2.5 cm and a perimeter of 20 cm is 25 cm².
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Answer:
25cm
Step-by-step explanation:
e2020
what do 12x4x3x5÷2×6 30 points and brainliest.
Answer:
2160
Step-by-step explanation:
12×4×3×5÷2×6
Multiply 12 and 4 to get 48.
2
48×3×5
×6
Multiply 48 and 3 to get 144.
2
144×5
×6
Multiply 144 and 5 to get 720.
2
720
×6
Divide 720 by 2 to get 360.
360×6
Multiply 360 and 6 to get 2160.
2160
Answer:
follow PEMDAS
parentheses not included in this problemexponents not included in this problemmultiplicationdivisonaddition not included in this problemsubtraction not included in this problemthat leaves multiplication as our first priority, division as our second.
[tex]12 * 4 = 48\\48 * 3 = 144\\144 * 5 = 720\\solve~2 * 6\\2 * 6 = 12\\now~resume\\12 / 720 = 60[/tex]
mean of of 0, 3, and 6
Answer:
3
Step-by-step explanation:
Mean= add up all the numbers, then divide by how many numbers there are. 0+3+6=9
9/3=3
A quadrilateral has two angles that measure 222° and 81°. The other two angles are in a ratio of 6:13. What are the measures of those two angles?
Answer:
Other two angles of quadrilateral measures 18° and 39°Step-by-step explanation:
Given that a quadrilateral has two angles that measure 222° and 81°.
Let other two angles of quadrilateral be 6x and 13x. We know that sum of all the angles of quadrilateral is 360°.
➝ 222 + 81 + 6x + 13x = 360°
➝ 303 + 19x = 360°
➝ 19x = 360° - 303
➝ 19x = 57
➝ x = 57/19
➝ x = 3
Hence,
6x = 6(3) = 18° 13x = 13(3) = 39°∴ Other two angles of quadrilateral measures 18° and 39°
Answer:
Measurement of other two angles are 39° and 19°
Step-by-step explanation:
Given :-
Quadrilateral has two angles of measurement 222° and 81° and the other two angles are in ratio of 6:13To find:-
The measurement of other two anglesSolution:-
Let the value of other two angles be 6x and 13x
We know , the sum of angle inside a quadrilateral is 360°
222° + 81° + 13x + 6x = 360°
19x = 360° - 303°
x = 3
So , the value of other two angles are
13 × 3 = 39°
6 × 3 = 18°
What is the correct similarity statement?
Answer:
ΔSTR ~ ΔSRQ
Step-by-step explanation:
ΔSTR ~ ΔSRQ
because we need to write the corresponding sides in the same order
ST corresponds to SR
TR corresponds to RQ
SR corresponds to SQ
How do we most easily graph an equation in the form Ax+By=C? Explain, and use at least one example.
Answer:
Rewrite the equation into the form of "y=mx+b", plot the y-intercept (b), plot the x-intercept(s), then create the line.
Step-by-step explanation:
Example: 2x + y = 1
Rewrite: y = -2x + 1Plot y-intercept: (0, 1)Plot x-intercept: (1/2, 0)Draw lineI hope this helps!
What is the quotient of 4.18*10^8/1.1*10^-2
A. 3.8*10^16
B.3.8*10^14
C.3.8*10^10
D. 3.8*10^6
(Show ur work)
Answer:
C. 3.8 x 10¹⁰
Step-by-step explanation:
Our expression :
4.18 x 10⁸ ÷ 1.1 x 10⁻²Steps to solve :
1) Take the values of the exponents of 10 and the other numbers separately.
[4.18 ÷ 1.1] × [10⁸ ÷ 10⁻²]3.8 × [10⁸⁻⁽⁻²⁾]3.8 x 10¹⁰C is the correct option.
A patio has dimensions of 25 feet by 35 feet. What is its area?
Answer:
3
Step-by-step explanation:
In this problem, we don't know the length or width. All we do know is that the length is 5 feet longer than the width, and that the perimeter is 54 feet. Both lengths plus both widths equals the perimeter. To solve this problem, you must give the width, the value of x.
Step 1: Draw a rectangle where the width is x and the length is x + 5.
Step 2: Find the sum of the lengths and the sum of the widths
2 times the length plus 2 times the width equals the perimeter
2(x + 5) + 2(x) = 54
Step 3: Solve for the width
2(x + 5) + 2(x) = 54
2x + 10 + 2x = 54 (Distributive Property)
4x + 10 = 54 (Group Like Terms)
4x = 44 (Subtraction Property of Equality)
4x/4 = 44/4
x = 11 (Division Property of Equality)
x = width = 11
Step 4: Solve for the length
x + 5 = length
11 + 5 = 16
Length = 16. So (3) must be the answer.
Find an equation for the inverse for each of the following relations. y= (2/3)x-5
Answer:
y = 3/2x + 15/2
or
y = [tex]\frac{3x+15}{2}[/tex]
Step-by-step explanation:
To solve inverse functions, switch the x and y in the equation, then
solve for y.
original equation :
y = (2/3)x - 5
switch x and y
x = (2/3)y - 5
add 5 to both sides
x + 5 = (2/3)y
Multiply both sides by the reciprical of (2/3)
(3/2)(x+5) = (3/2)(2/3)y
distribute and simplifiy
(3/2x +15/2) = y
or
y = (3/2x) +(15/2)
Refer to the figure: The Triangle
Midsegment Theorem says the midpoints
(K and L) of two sides of a triangle will
result in parallel third sides such that KL is
half of MN.
A. Sketch ∆JKL and ∆JMN separately in the space below. Label all vertices.
Then explain, in detail, how you could
justify that the two triangles are similar, using the results of the Midsegment
Theorem.
What is the scale factor between the two triangles and how do you know?
Answer:
The Triangle Midsegment Theorem states that, if we connect the midpoints of any two sides of a triangle with a line segment, then that line segment satisfies the following two properties
Step-by-step explanation:
10. A triangular pyramid has a volume of 60 cubic centimeters. The
triangular base has a 12-centimeter base and a 5-centimeter height. Find the
height of the pyramid.
Explain
Answer:
3 cm
Step-by-step explanation:
The formula for the volume of a pyramid is :
V = [tex]\frac{Ah}{3}[/tex]Given
Volume = 60 cm³Base Area = 12 cm x 5 cm = 60 cm²Solving
60 = 60 x h x 1/360 = 20hh = 60/20 = 3 cmA school district is considering a change that would involve switching the daily start times for its elementary and
high schools. Administration wants to take a sample of parents from each type of school and perform a two-
sample test to see if the proportion who support the change is significantly different between the two groups.
Which of the following are conditions for this type of test?
Using the Central Limit Theorem, it is found that each random sample must have at least 10 parents supporting the change and 10 opposing.
What does the Central Limit Theorem state?It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].
For the test hpyothesis, two conditions are needed:
Random samples.The sampling distribution must be approximately normal.Hence each random sample must have at least 10 parents supporting the change and 10 opposing.
More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213
A car tyre has a diameter of 60 cm.
How far will the wheel travel in one revolution?
Answer:
Step-by-step explanation:
If 60cm is the outer diameter of the rim, then the rim without a tire would travel 188.50 (not 188.4) cm per revolution. There will of course be a tire, and the extra diameter of wheel+tire will increase the distance traveled by the bike. If e.g. the tire is 3cm from bead to outermost tread (and is properly inflated), then the extra circumference would be 2 x 3cm x pi = 18.850cm of distance traveled, for a total of just over 207.3 cm per revolution.
-10(x – 7) – 3x simplified
The function f is given by f(x) = 2*, while the function g is given by g(x) = 4.2%.
Kiran says that the graph of g is a vertical scaling of the graph off. Mai says that the
graph of g is a horizontal shift of the graph off. Do you agree with either of them?
Explain your reasoning.
DO
I agree with Kiran that the graph of g(x) = [tex]4* 2^{x}[/tex] is a vertical scaling of the graph of f(x) = [tex]2^{x}[/tex],
Define the term scaling of the graph?Scaling of the graph refers to the process of stretching or shrinking a graph of a function either vertically or horizontally, while maintaining the shape of the graph.
If the function f is given by f(x) = [tex]2^{x}[/tex],
the function of g is given by g(x) = [tex]4* 2^{x}[/tex]
I agree with Kiran that the graph of g(x) = [tex]4* 2^{x}[/tex] is a vertical scaling of the graph of f(x) = [tex]2^{x}[/tex],
To see this, note that both functions have a base of 2 raised to the power of x. However, the function g has an additional factor of 4 multiplying [tex]2^{x}[/tex]. This means that g is 4 times larger than f for any given value of x.
On the other hand, I disagree with Mai that the graph of g is a horizontal shift of the graph of f. A horizontal shift occurs when a function is moved left or right along the x-axis. However, both f and g have the same base, so the shape of their graphs is the same. The only difference is the vertical scaling due to the additional factor of 4 in g.
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#SPJ1
Correct question here-
a 5 pack of clay pots cost $14.25. What is the unit price?
Answer:4.25
Step-by-step explanation: you divide the cost by the materials I believe (I’m sorry if it’s wrong)
Answer:
2.85
Step-by-step explanation:
In order to find a unit price (price per item), you will need to divide.
In this case, we have the numbers 14.25 and 5.
So if we divide...
14.25 ÷ 5 = 2.85
We know the unit price.
The answer is 2.85.
Brainliest please?
Find the area of the shaded region.
Answer:
Step-by-step explanation:
Remark
The method of finding the area of the ring is to find the area of the outer ring and subtract the area of the hole in the middle.
Outer ring
r = 10 + 4 = 14 inches
Area = pi * r^2
Outer ring area = pi * 14^2
Outer ring area = 196 pi
Inner hole
Area unshaded part = pi * r^2
r = 10
Area = pi * 10^2
Area = 100 pi
Area of the shaded part
area of the shaded part = outter circle area - inner circle area
outter circle area = 196 * pi
inner circle area = 100 pi
Area of the shaded part = 196 pi - 100 pi
Area of the shaded part = 96 pi
pi = 3.14
Area of the shaded part = 96 * 3.14
Answer area of the shaded part = 301.44
Answer area of the shaded part = 301.4 rounded to the nearest tenth
The second problem is done exactly the same way. Only the numbers have been changed. I will give you the answers to the main part of the problem and you can try and get what I got. If we disagree, be preparred to tell me what you got so I correct mine if it is wrong.
Outter Radius = 18 + 8 = 26
Area of outter circle = pi * 26^2
Area of outter circle = 676 pi
Inner Circle area hole = pi * 18^2
Inner Circle area hole = 324 pi
Area of the shaded part = outter circle - inner circle
Area of the shaded part = 676 pi - 324 pi
Area of the shaded part = 352 pi
pi = 3.14
Area of the shaded part = 352 * 3.14
Answer: area of shaded part rounded to 1 decimal place = 1105.3
The number of sit-ups that all tenth-grade girls can do in 5 minutes is normally distributed. beth surveyed 20 of her fellow intramural tennis players, all tenth-grade girls, and determined the mean number of sit-ups they could do. can she make an inference about the population mean for all tenth-grade girls based on the sample? no, because the sample size was not big enough. no, because she did not use a simple random sample. yes, because the sample size was big enough. yes, because she used a simple random sample.
The true statement is as follows "No because she did not use a simple random sample".
What is random sampling?Random sampling is the method to choose the given samples of observation to make assumptions about the population.
It is given that
Population: All tenth-grade girls
Sample: 20 intramural tennis players
The 20 intramural tennis players cannot represent all tenth-grade girls.
This is so because the selection is biased here, and it could not be used to make inferences about the overall population. then she did not use a simple random sample.
Hence, the true statement is (b)
Read more about random sampling at:
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Answer:
the correct answer is B.
Step-by-step explanation:
~Hope this helps! :)
Segment CD is reflected across the y-axis to get segment C′D′. The coordinates of C are (−5,−5), and the coordinates of D are (0,1). What are the coordinates of D′?
Images that are reflected are mirror images of each other. The coordinate D reflected over the y-axis will give (0, 1).
What are reflections?Images that are reflected are mirror images of each other.
The reflection rule of a coordinate (x, y) over the y-axis is given as:
(x, y) - > (-x, y)
Given the coordinate CD expressed as C(-5, -5) and D(0,1), the coordinate D reflected over the y-axis will give (0, 1).
Learn more on reflection here: https://brainly.com/question/26642069
Answer:
(0, 1)
Step-by-step explanation:
Please Evaluate This Expression:
60 ÷ (3+7) + 7 • (9÷3)
Answer:
27
Step-by-step explanation:
60 ÷ (3+7) + 7 • (9÷3)=
60÷10+7•3=
6+7•3=
6+21=27
Nile’s places £4000 in a bank account that pays 2.5% simple interest per year how much interest will he earn in 4 years
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \pounds 4000\\ r=rate\to 2.5\%\to \frac{2.5}{100}\dotfill &0.025\\ t=years\dotfill &4 \end{cases} \\\\\\ I = (4000)(0.025)(4)\implies I=400[/tex]
Subtract. Write your answer in lowest terms.
Wirte the working steps
Answer:
7/15
Step-by-step explanation:
First, find the common denominatorHere it’s 5 * 3, which is 15You times 5 by 3 to get 15, so times the 4 by 3 as well to make sure that the fraction is equivalent4/5 now becomes 12/15Now for 1/3You times 3 by 5, so times 1 by 5This gives 5/15Just subtract the numerators now since they now have the same denominator12/15 - 5/15 = (12-5)/15 = 7/15Which equation has only one solution? |x – 5| = –1 |–6 – 2x| = 8 |5x 10| = 10 |–6x 3| = 0
The linear equation which has only one solution would be |–6x + 3| = 0
What is a linear equation?A linear equation is an equation in which the highest power of the variable is always 1. The standard form of a linear equation in one variable is of the form Ax + B = 0.
|x – 5| = –1
The absolute function cannot be equal to the negative. so we cannot solve this absolute function.
|–6 – 2x| = 8
For this absolute function, we make two equations here
-6-2x= 8 and -6-2x= 8. So we will get two solutions for x.
|5x + 10| = 10
For this absolute function, we make two equations here
5x+10= 10 and 5x+10= -10. So we will get two solutions for x
|–6x + 3| = 0
For this absolute function we make two equations
-6x+3=0 and -6x+3=-0.
Both have the same 0 on the right side. So we will get only one solution for x
Learn more about equation;
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Answer:
the answer is D.
Step-by-step explanation:
A has no solutions
B and C have two solutions.
therefore, none of these have only one solution.
16. The ordered pairs below represent a linear
function.
(2,64), (14,77), (x, y)
Which values could be the values of x and y?