Answer:
4 hours
Step-by-step explanation:
The exponential growth equation is given by
y = a (b)^(x)
where a is the initial value, b is the growth rate and x is the time from the initial value
We know the initial value is 300 and the growth rate is 2
y = 300 (2)^(x)
We want to know the time when we have 4800 bacteria
4800=300 *2^(x)
Divide each side by 300
4800/300 = 300/300 * 2^(x)
16 = 2^(x)
Rewrite 16 as a power of 2
2^4 = 2^(x)
x=4
It will take 4 hours
Choose the graph that represents the following set. The whole number greater than 3
Step-by-step explanation:
Whole numbers means 0,1,2,3,4,5 ........................................ up to infinity.
We need to find graph of whole number greater than 3
The numbers are 4, 5 , 6 , 7 , 8 , 9 ............................................... up to infinity.
The graph representing this is the second graph.
Second graph is the correct answer.
Answer: graph number 2 is correct
Step-by-step explanation:
i just wanted to verify for others
Answer please the question thank you
Answers
Part a: Opposite
Part b: cos
Part c: Adjacent
Explanation
If you doing sine, cosine, and tangent, just remember SOHCAHTOA.
To build the roof for a paper house, a rectangular paper
Answer: B
Step-by-step explanation: Got it right on edge
Answer:B
Step-by-step explanation:I did it
Which expression is equivalent to...? Screenshots attached, please help.
For this case we must simplify the following expression:
[tex]\sqrt [3] {64 * a ^ 6 * b ^ 7 * c ^ 9}[/tex]
We rewrite:
[tex]64 = 4 ^ 3\\a ^ 6 = (a ^ 2) ^ 3\\b ^ 6 * b = ((b ^ 2) ^ 3 * b)\\c ^ 9 = (c ^ 3) ^ 3[/tex]
So:
[tex]\sqrt [3] {4 ^ 3 * (a ^ 2) ^ 3 * (b ^ 2) ^ 3 * b * (c ^ 3) ^ 3} =\\\sqrt [3] {4 * a ^ 2 * b ^ 2 * c ^ 3) ^ 3 * b} =[/tex]
By definition of properties of powers and roots we have:
[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]
So:
[tex]4a ^ 2b ^ 2 c ^ 3 \sqrt [3] {b}[/tex]
Answer:
Option B
What is the name of the polygon
Polygons are categorized according to their side count. The following are the designations for polygons depending on the number of sides they exhibit:
3 sides: Triangles
4 sides: Quadrilaterals
Special cases of quadrilaterals include rectangles, squares, parallelograms, rhombuses, and trapezoids.
5 sides: Pentagons
6 sides: Hexagons
7 sides: Heptagons or Septagons
8 sides: Octagons
9 sides: Nonagons
10 sides: Decagons
Polygons are classified based on the number of sides they possess. Here are the names for polygons with different numbers of sides:
Triangles: The simplest polygon with three sides, often classified based on angles as equilateral, isosceles, or scalene.
Quadrilaterals: Four-sided polygons, encompassing various shapes with specific characteristics. For example, squares have equal sides and right angles, while rectangles have opposite sides of equal length and right angles.
Pentagons: Five-sided polygons, commonly found in geometry and nature.
Hexagons: Six-sided polygons frequently seen in beehives and some crystal structures.
Heptagons or Septagons: Seven-sided polygons, less commonly encountered in everyday geometry.
Octagons: Eight-sided polygons, often used in architecture and design.
Nonagons: Nine-sided polygons, less commonly discussed but still defined geometrically.
Decagons: Ten-sided polygons, exhibiting symmetry and regularity in shape.
The question probable may be:
What is the name of the polygon
Which has :
3 sides - ?
4 sides - ?
5 sides - ?
6 sides - ?
7 sides - ?
8 sides - ?
9 sides - ?
10 sides - ?
A frequency polygon is a statistical tool used in mathematics to represent the distribution of data visually, much like a line graph, but specifically connected to a histogram. They are particularly helpful for interpreting continuous data and spotting trends within datasets.
Explanation:Although the question seems to be incomplete, it appears to ask about the terminology used in mathematics, particularly pertaining to polygons. However, if we connect the dots with the provided reference, it seems the actual topic is 'frequency polygons' in the context of statistics. A frequency polygon is a graphical representation of data in statistics, where it's used to illustrate the distribution of a dataset and is similar to a line graph. It is typically made by connecting the midpoints of the tops of bars of a histogram with straight lines, making the data visually easy to interpret. By doing so, it helps in understanding how values are distributed over an interval and is often used to compare different sets of data on the same graph.
Continuous data can sometimes be difficult to analyze, but frequency polygons simplify this by offering a clear, visual interpretation. They are helpful in identifying trends and patterns in data which are not immediately obvious when looking at a table of values or a histogram alone.
At the beginning of the day, Meredith has 85.4 pounds of apple to sell at the farmers market. The table shows the change in the original amount that she has after the first several hours.
Hour | Change In Apples (lb)
--------------------------------------------
1 | -8.5
2 | -12 2/3
3 | -16 1/5
4 | -10.2
--------------------------------------------
After 4 hours, about how many pounds of apples does Meredith have left?
the answer is I think -10.2
To find out how many pounds of apples Meredith has left after 4 hours, we need to subtract the total change in apples from the original amount.
Explanation:To find out how many pounds of apples Meredith has left after 4 hours, we need to subtract the total change in apples from the original amount. Let's calculate step-by-step:
Hour 1: -8.5 poundsHour 2: -12 2/3 poundsHour 3: -16 1/5 poundsHour 4: -10.2 poundsTo find the total change, we need to add the individual changes:
Total Change = -8.5 + (-12 2/3) + (-16 1/5) + (-10.2) = -47 61/60 pounds
Now, we subtract the total change from the original amount:
Final Amount = 85.4 - 47 61/60 pounds
Calculate the final amount to find out how many pounds of apples Meredith has left.
Learn more about subtraction here:https://brainly.com/question/20438352
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at noon it was -18 °F in Billings MT At the some time it was 32 °F in mesa AZ how much warmer was mesa than billings at noon
50 F
32 F - - 18 = 32 F + 18= 50 F
I think that I have an answer, but it is really weird. I need help!
36=x³-4x-2x²+8
Rewrite the repeated addition problem as a multipication problem and solve. 9/12+9/12=?
[tex]\bf \stackrel{\textit{let's recall that }}{a+a \implies a(1+1)\implies a(2)\implies 2a} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{a}{\cfrac{9}{12}}+\stackrel{a}{\cfrac{9}{12}}\implies \stackrel{a}{\cfrac{9}{12}}(1+1)\implies \cfrac{9}{12}(2)\implies 9\cdot \cfrac{2}{12}\implies 9\cdot \cfrac{1}{6}\implies \cfrac{9}{6}\implies \cfrac{3}{2}[/tex]
Which pair of angles must be supplementary
Answer:
D.) 6 and 2
Step-by-step explanation:
Supplementary angles are two angles which sum up to 180°.
Answer:
B. [tex]\angle 2\text{ and }\angle 5[/tex]
Step-by-step explanation:
We have been given an image of intersecting lines. We are asked to find the pair of angles that must be supplementary.
We know that two angles are supplementary when they add up-to 180 degrees.
Upon looking at our given image, we can see that the measure of angle 2 and measure of angle 5 is 90 degrees. So these angles will add up-to 180 degrees, therefore, option B is the correct choice.
What is the area of the parallelogram?
A. 39.20 cm^2
B. 39.33 cm^2
C 56.58 cm^2
D. 78.66 cm^2
E. 93. 38 cm^2
The area is the length x the height.
Length = 11.40 cm
Height = 6.90 cm
Area = 11.40 * 6.90 = 78.66 cm^2
The answer is D.
Order the numbers from least to greatest 1, -3 and 2
the answer would be -3,1,2
Hello!
From Least To Greatest Your Numbers Would Be
-3 1 2
The large rectangle was reduced to create the small rectangle.What is the missing measure on the small rectangle?
Answer:
x = 4 in
Step-by-step explanation:
scale factor of reduction is
[tex]\frac{6}{18}[/tex] = [tex]\frac{1}{3}[/tex], thus
x = [tex]\frac{1}{3}[/tex] × 12 = 4
Examine the lines that are cut by transversals to determine the measure of angle 1.
What is the measure of angle 1?
m <1= ?
1) 48
2) 59
3) 73
4) 132
Why?
A) It is adjacent to the 48-degree angle
B) It is an alternate exterior angle to the 48-degree angle
C) It corresponds to the 48-degree angle
D) It is supplementary to the 48-degree angle
Answer:
1) 48
C) It corresponds to the 48-degree angle
Step-by-step explanation:
k║l
1) <1 = 48
because corresponding angles are equal
Why?
C) It corresponds to the 48-degree angle
Answer:
1) 48 and C) It corresponds to the 48-degree angle.
Step-by-step explanation:
Seeing the parallel lines k and l, and the transversal line m, we have that 48° and angle 1 are corresponding angles because k and l are parallel, then, the angle formed with the same transversal line will have the same measure.
So, the measure of angle 1 is 48 (option 1) and the reason is C) It corresponds to the 48-degree angle.
Vivek has a maximum of 49 seconds to chop tomatoes and zucchinis. It takes him 6 seconds to chop each tomato, and 4 seconds to chop each zucchini.
Write an inequality that represents the number of tomatoes (T) and zucchinis (Z) Vivek can chop within this time limit.
Answer:
[tex]6T+4Z\leq 49[/tex]
Step-by-step explanation:
Let
T----> the number of tomatoes
Z---> the number of zucchinis
we know that
The inequality that represent this situation is
[tex]6T+4Z\leq 49[/tex]
using a graphing tool
The solution is the triangular shaded area
see the attached figure
A bag contains 4 red marbles, 16 yellow marbles, 5 purple marbles, 16 blue marbles, and 10 green marbles. What is the probability of pulling out a red or green marble? Enter your answer in decimal form, rounded to two decimal places.
Answer:
0.27
Step-by-step explanation:
Red marbles = 4
Yellow marbles = 16
Purple marbles = 5
Blue marbles = 16
Green marbles = 10
Total marbles
= 4 + 16 + 5 + 16 + 10
= 51
Red and Green marbles
= 4 + 10
= 14
P(Red or green marbles)
= 14/51
= 0.27
Answer:
0.27
Step-by-step explanation:
Red marbles = 4
Yellow marbles = 16
Purple marbles = 5
Blue marbles = 16
Green marbles = 10
Total marbles
4 + 16 + 5 + 16 + 10 = 51
Red and Green marbles
= 4 + 10
= 14
P(Red or green marbles)
= 14/51
= 0.27
hope this helps pls make my answer the brainliest
Translate the equation into a verbal sentence (picture) HELP ME ASAP
I believe it’s D or B
what is the slope of a line parallel to the line whose equation is 4x - 2y = 7?
Answer:
Here the slope is 2.
Step-by-step explanation:
The first step here is to solve for y. This will lead us to the correct slope value. Subtracting 4x from both sides, we get -2y = 7 - 4x.
Dividing both sides by -2, we get y = -7/2 + 2x. The coefficient of x is the slope. Here the slope is 2.
The slope of a line parallel to the line 4x - 2y = 7 is 2. This is calculated by modifying the given equation into the form y = mx + b and determining the value of 'm', which represents the slope, and parallel lines share the same slope.
Explanation:To find the slope of a line parallel to the given line, 4x - 2y = 7, we first need to put the given equation in the standard form y = mx + b, where 'm' represents the slope of the line.
We can do this by isolating 'y' in the equation. So, 4x - 2y = 7 becomes 2y = 4x - 7. Then, we divide the entire equation by 2 to solve for 'y', which gives us y = 2x - 7/2. Thus, the slope 'm' of this line is 2.
Lines that are parallel to each other have the same slope, so the slope of the line parallel to the given line is also 2.
Learn more about Parallel Lines here:https://brainly.com/question/32035102
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Ken will flip a Fair coin and then randomly choose one of the three colored cords the possible outcomes are shown below what is the probability that Tails will turn up and that he will choose a red card. head and tails has the possibke outcomes of red, blue, and green
50% is ur answer your welcome
What is the mean absolute deviation of the data set?
2, 2, 5, 6, 8, 4, 8, 5
ANSWER
The mean absolute deviation is 1.75
EXPLANATION
The given date set is 2, 2, 5, 6, 8, 4, 8, 5
The mean is
[tex]\bar X = \frac{2 + 2 + 5 + 6 + 8 + 4 + 8 + 6}{8} = 5[/tex]
The mean absolute value deviation is given by:
[tex] =\frac{ \sum |x -\bar X| }{n} [/tex]
[tex] = \frac{ | 2 - 5| + |2 - 5|+ |5- 5|+ |6 - 5|+ |8 - 5| + |4 - 5|+ |8- 5|+ |5 - 5| }{8} [/tex]
[tex]= \frac{ 3 + 3+ 0+ 1+ 3 + 1+3+ 0}{8} [/tex]
[tex] = \frac{14}{8} [/tex]
[tex] = 1.75[/tex]
I hope you can help me
Answer:
9. ∠A ≅ ∠R
10. SI ≅ GH
11. MN ≅ RN
12. FE ≅ TU
Step-by-step explanation:
Look at the reason identifier: A means "angle"; S means "side". The order is important. AAS means two adjacent angles with only one of them next to the corresponding sides. SAS means the angle is between two corresponding sides.
9. Sides CS and TS correspond and are congruent. The vertical angles at S are congruent, so the AAS identifier means you're looking for angles A and R to be congruent. (Using angles C and T would invoke the ASA identifier.)
__
10. Sides HI are congruent; the angles at H and I are congruent. The SAS identifier means you're looking for the sides on the other side of those angles to be congruent: sides SI and GH.
__
11. SSS means you're claiming all three sides are congruent to their corresponding sides. The common side is congruent to itself; the marked sides are congruent. So, you need the unmarked sides to be congruent to each other.
__
12. HL means you're claiming the hypotenuse and one leg of the right triangle are congruent. One leg is already marked, so you need the hypotenuses to be congruent.
The fucntion f(x)=2x^2+3x+5 when evaluated, gives a value of 19. What is the functions input value?
Answer:
x1= 14/4 and X2 = -2
Step-by-step explanation:
To find the values of "X" for which when the function is evaluated gives 19 we need to equal the function to 19, as follows:
2x^2+3x+5 = 19
2x^2+3x+5-19=0
2x^2+3x-14=0
Then, solving for "x" we need to use the quadratic formula (Attached), where a, b, and c, are the following:
a: 2 b: 3 c: 14
Using the quadratic formula, we get:
x1= 14/4 and X2 = -2
Find the distance between (3,4) and (4,7)
Answer:
is the last one if not the second option would be the 2 second
Step-by-step explanation:
A large basin has the shape of a hemisphere with a radius of 25 inches. Calculate the area of rhe circle of water if the basin is filled to a depth of 10 inches
Answer:
100pi in^2, or 314.16 in^2 to nearest hundredth.
Step-by-step explanation:
The areas of the surface of water for full basin and area for the surface when the depth is 10 inches are in the ratio 25^2 : 10^2 = 6.25 : 1. (because the depth of the water = radius of the water when the basin is full).
The area for a full basin = pi r^2 = 625pi in^2.
So the area when depth is 10 inches = 625pi / 6.25 = 100pi in^2.
which of the following represent the values of x, y, and z.
Answer:
Part 1) [tex]z=4\sqrt{3}\ units[/tex]
Part 2) [tex]y=4\sqrt{2}\ units[/tex]
Part 3) [tex]x=4\sqrt{6}\ units[/tex]
Step-by-step explanation:
see the attached figure with letters to better understand the problem
step 1
Find the value of z
In the right triangle DBC
[tex]cos(C)=\frac{4}{z}[/tex] ----> equation A
In the right triangle ABC
[tex]cos(C)=\frac{z}{12}[/tex] ----> equation B
equate equation A and equation B
[tex]\frac{4}{z}=\frac{z}{12}[/tex]
[tex]z^{2}=48[/tex]
[tex]z=4\sqrt{3}\ units[/tex]
step 2
In the right triangle DBC
Applying the Pythagoras Theorem
[tex]z^{2}=y^{2}+4^{2}[/tex]
we have
[tex]z=4\sqrt{3}\ units[/tex]
substitute
[tex](4\sqrt{3})^{2}=y^{2}+4^{2}[/tex]
[tex]48=y^{2}+16[/tex]
[tex]y^{2}=48-16[/tex]
[tex]y^{2}=32[/tex]
[tex]y=4\sqrt{2}\ units[/tex]
step 3
Find the value of x
In the right triangle ABC
Applying the Pythagoras Theorem
[tex]12^{2}=x^{2}+z^{2}[/tex]
we have
[tex]z=4\sqrt{3}\ units[/tex]
substitute
[tex]12^{2}=x^{2}+(4\sqrt{3})^{2}[/tex]
[tex]144=x^{2}+48[/tex]
[tex]x^{2}=144-48[/tex]
[tex]x^{2}=96[/tex]
[tex]x=4\sqrt{6}\ units[/tex]
Answer:
B
Step-by-step explanation:
Test Yourself
match to the corresponding value
ANSWER
Midline y=-1
Period= 2π
Amplitude=3
Frequency=1
EXPLANATION
The given function completes one cycle on the interval 0 to 2π.
Therefore the period of the function is
[tex]2 \pi[/tex]
The midline divides the graph into two equal halves.
This line is y=-1
The cycle repeated once on the interval [0,2π] hence the frequency is 1.
The amplitude is the distance from the midline to the peak.
=2--1=3
CAN SOMEONE PLES HELP ME OUT HERE!
Answer: 1/6
Step-by-step explanation:
1/6+1/6+16 hope this helps!
find the percent of change. round to the nearest percent. original 132 new: 150
Answer:
13.64%
Step-by-step explanation:
The increase, from 132 to 150, is 18.
Comparing 18 to the original 132, we get 18/132 = 0.1364
Rewriting this as a percentage change, we get 0.1364, or 13.64%. The percentage increase from 132 to 150 is 13.64%.
help ASAP
Alvin is running at a rate of 3 meters per second. The meters he runs, m, in s seconds is given by the equation m=3s. Identify the dependent and the independent variable. Explain your reasoning.
Answer:
The dependent variable is the rate (3 meters per second) and the independent variable is m (the amount of meters he runs). This is because the rate changes based on the amount of meters he runs.
Answer:
The seconds are independent and the meters are dependent
How does the variable of Data Set A compare to the variability of Data Set B? Data Set A: 18, 24, 29, 30, 39 Data Set B: 26, 29, 39, 40, 52
Answer:
Data set B has a higher range than data set A and thus B has a higher degree of variability than A.
Step-by-step explanation:
There are several measures of variability in Statistics among them being;
The range
The inter-quartile range
Variance and standard deviation
To compare the variability of two or more sets of data, we can compute any of the above measures of dispersion and compare them across the various data sets.
In this question we have been given two data sets;
Data Set A: 18, 24, 29, 30, 39
Data Set B: 26, 29, 39, 40, 52
The simplest measure of variability or dispersion is the range. The range is defined as the difference between the maximum and the minimum values in a data set.
The range of data set A is; 39 - 18 = 21
The range of data set B is; 52 - 26 = 26
Data set B has a higher range than data set A and thus B has a higher degree of variability than A.