Select the correct answer.
Choose the number sentence that illustrates the distributive property of multiplication over addition.
3 × (4 + 6) = (3 × 4) + (3 × 6)
3 × (4 + 6) = (3 + 4) × (3 + 6)
3 × (4 + 6) = (3 × 4) + 6
Bacteria are growing exponentially in an environment of unlimited space and food. The doubling time is 1 hour.a. If there are initially x milligrams of bacteria, express the mass of the bacteria as a function of time t.b. Use your answer to (a) to write down an equation whose solution is the time at which there are 3x milligrams of bacteria.c. Solve your equation from (b)
Answer:
Step-by-step explanation:
Our equation is
\(b(t)=x(2)^t\) where x is the initial amount and the growth rate is 2 (doubling). t is time in hours.
For part b
\(3x=x(2)^t\) which is asking how long it will take for the initial x amount of bacteria to grow to 3 times in size.
Divide both sides by x to get
\(3=2^t\) then take the ln of each side in order to bring down the t from its exponential position:
\(ln(3)=t*ln(2)\)
Divide both sides by ln(2) to get the value for t on your calculator.
t = 1.58 hours
what is the exact duplication of elements (shapes, forms, etc.) on either side of a central axis?
The exact duplication of elements on either side of a central axis is called symmetry. Symmetry refers to the property of an object or system where it exhibits a precise duplication of elements on either side of a central axis or plane.
This duplication can occur in various forms, such as shapes, patterns, or structures. Symmetry is a fundamental concept in mathematics, art, design, and science. It is often studied and utilized to create aesthetically pleasing compositions, identify patterns, and analyze the properties of objects.
Symmetry can be classified into different types, such as bilateral symmetry (reflectional symmetry) where the object is identical on both sides of a vertical axis, or radial symmetry where the object is identical around a central point.
The concept of symmetry plays a significant role in diverse fields, including geometry, biology, crystallography, and physics.
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find the length of one side of a regular hexagon if its perimeter is 24 x+48
A. 3x+3
B. 6x+12
C. 4x+8
D. 8x+16
Answer:
C ) 4 x + 8
Step-by-step explanation:
( 24 x + 48 ) / 6
4 x + 48
The length of a regular hexagon is:
4x ₊ 8
How many sides do a hexagon have? How do we calculate the length and parameter of it?
A regular hexagon have six sides.
The area of a regular hexagon can be calculated using the formula (33 s2)/2, where s is the side length. The lengths of all six sides of a hexagon can be added to determine its perimeter. Perimeter = 6 s, where s is the length of one side, is the formula used to determine the size of a regular hexagon.
Solution:
Given,
parameter of a hexagon = 24x ₊ 48
length of one side of a hexagon s = p ÷ 6
s = 24x ₊ 48 ÷6
s = 4x ₊ 8
Hence we get the length of one side as 4x ₊ 8
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why do you need to know math?
Answer:
It allows for a fundamental of arithmetic and logic, produced at the later stages of high school math. The only problem is that it's not well taught or elaborated which makes it seem redundant.
Step-by-step explanation:
8. Mrs. Reed bought 6 carnations that were
$0.39 each. How much money did she
spend?
Answer:
2.34
Step-by-step explanation:
:)
2.34
Multiply 0.39 by 6!
factorise using suitable identities
x^2 (y+z)^2
Answer:
Step-by-step explanation:
\(x^2 ( y +z)^2 = x^2 (y+z)(y+z)\) \([ \ (a+b)^2 = (a+b)(a+b) \ ]\)
\(x^2 - ( y +z)^2 = (x - ( y +z)) (x + (y+z))\) \([ \ a^2 - b^2 = (a-b)(a+b) \ ]\)
\(=(x-y-z)(x+y+z)\)
Which angle measures 30 degrees?
Answer:
angle e o f and c o e
Step-by-step explanation:
please mark me brainliest
Acute angle is the answer which is A
What is the ratio of cosine of C?
A 24/7
B 24/25
C 7/25
D 25/24
Answer:
Cos C = adjecent/hypotenuse
Cos C = 14/50
divide the numerator and the denominator by 2
Cos C = 7/25
The answer is C
The frequency table shows the results of a survey about favorite exhibits. Find the relative frequency that a randomly selected student's favorite exhibit was either butterflies, or trains, as a percent
Butterfly - 12
Dinosaurs - 25
Planets - 17
Trains - 6
The relative frequency as a percentage is 25.7%.
The ratio (fraction or proportion) of the number of times a data value appears in the set of all outcomes to the total number of outcomes is known as the relative frequency. Divide each frequency by the overall sample size, in this example 20 students, to determine the relative frequencies.
The relative frequency of students who picked either butterflies or trains as their favorite exhibit is 18 (12 + 6) out of a total of 70 students.
The relative frequency as a percentage is 18/70 * 100 = 25.7%.
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The median of a quanitive data set is always one of the infiviual data values. True or false
The given statement "The median of a quantitative data set is always one of the individual data values" is false.
What is a median?When a given data set is arranged in ascending order the observation which at the between of the data is the median of that data set. It is a value in the set whose left and right both have the same number of observations.
The given statement is not true, this is because the median is the mid-value of any data set.
If the number of data observations is odd then the median of a quantitative data set is always one of the individual data values.But if the number of data observations is even then the median is the average of the two numbers present in between the data observations.Hence, the given statement "The median of a quantitative data set is always one of the individual data values" is false.
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Plz answer for goodluck
Answer:
It says that most of the data is greater than the mean
Step-by-step explanation:
Answer:
A large mad means many of the points deviate far from the average
Step-by-step explanation:
Ribbon costs $1.25 per meter. What would be the cost of 250 centimeters rounded to the nearest cent? HINT:
centimeters to meters before calculating the price
Answer:
The answer should be $3.125 or $3.13 rounded.
Step-by-step explanation:
First I divided 1.25 by 100 because 1 meter equals 100 centimeters.
1.25 ÷ 100 = 0.0125
Now that we know that it costs 0.0125 for 1 centimeter we multiply it by 250.
0.0125 * 250 = 3.125
Since it says to round to the nearest cent, the answer should be 3.13
Hope this helps! :)
The triangle shown has an area of 22 units cube.
Answer:
11
Step-by-step explanation:
the formula for the area of a triangle is base times height divide by two. 22 is half of 44 so the base would have to be 11.
11 * 4 = 44 / 2 = 22 / 2 = final answer 11
hope this helps :) !!!
statistics computed for larger random samples are less variable than the statistic computed for smaller random samples
Statistics computed for larger random samples tend to be less variable compared to statistics computed for smaller random samples.
This statement is based on the concept of the Central Limit Theorem (CLT) in statistics. According to the CLT, as the sample size increases, the distribution of the sample mean approaches a normal distribution regardless of the shape of the population distribution. This means that the variability of the sample mean decreases as the sample size increases.
The variability of a statistic is commonly measured by its standard deviation or variance. When working with larger random samples, the individual observations have less impact on the overall variability of the statistic. As more data points are included in the sample, the effects of outliers or extreme values tend to diminish, resulting in a more stable and less variable estimate.
In practical terms, this implies that estimates or conclusions based on larger random samples are generally considered more reliable and accurate. Researchers and statisticians often strive to obtain larger sample sizes to reduce the variability of their results and increase the precision of their statistical inferences.
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Write each number in standard form.
6.7 × 101
Answer:
676.7
Step-by-step explanation:
Common standard form:
6.7(101) = 676.7
Standard form referring to scientific notation (if you're from Europe):
676.7 = 6.767 * 10^2
Solve the inequality.
–x – 2.2 < 1.8
Answer:
x > - 4
Step-by-step explanation:
- x - 2.2 < 1.8 ( add 2.2 to both sides )
- x < 4
multiply both sides by - 1, reversing the symbol as a result of multiplying by a negative quantity
x > - 4
the standard deviation of the sampling distribution is called the standard error of the median. true false
The standard deviation of the sampling distribution is called the standard error of the mean, not the median. The standard error of the median is a different measure that is used to estimate the variability of the median of a sample.
When we take a sample from a population, the values of the sample statistics, such as the mean, median, standard deviation, etc., will vary from sample to sample. The distribution of the sample statistics is called the sampling distribution.
The standard deviation of the sampling distribution of the mean is called the standard error of the mean. It is a measure of the variability of the sample means from sample to sample.
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In 1/4 cup lemonade, there is 1/3 cup sugar. how much lemonade would 1 cup sugar make?
If in 1/4 cup lemonade, there is 1/3 cup sugar, then 3/4 cups of lemonade can be make by using 1 cup of sugar
The quantity of sugar in 1/4 cup lemonade = 1/3 cup
We have to find how much lemonade would 1 cup sugar make
Here we have to use the unitary method
The unitary method is defined as the method of find the unit value of the unit based on this value
The quantity of lemonade can make by using 1/3 cup of sugar = The quantity of lemonade / The quantity sugar
Substitute the values in the equation
The quantity of lemonade can make by using 1/3 cup of sugar = (1/4) / (1/3)
= 1/4 × 3
= 3/4 cups
Therefore, the 3/4 cups of lemonade would 1 cup sugar will make
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The population of your town is about 30,000. This is about 1/10 the population of your friend’s town about what is the population of your friend’s town?
The population of your friend's town is 300,000 if the population of your town is about 30,000.
To solve this problem, we can use the fact that if one quantity is a fraction of another quantity, we can multiply or divide the given quantity by that fraction to find the other quantity. In this case, we know that the population of your town is 1/10th of your friend's town's population, so we can multiply your town's population by 10 to get your friend's town's population.
If the population of your town is about 30,000, and it's about 1/10 the population of your friend's town, we can calculate your friend's town's population by multiplying your town's population by 10.
So, the population of your friend's town is
30,000 x 10 = 300,000
Therefore, your friend's town has a population of about 300,000.
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She counted the money and found out she has $14.90 in the jar. How many dimes and quarters does she have?
Answer:
There're too much possibilities of the answer.
In 2010, the Centers for Disease Control and Prevention estimated 9.4% of children under the age of 18 had asthma. They reported the standard error to be 0.35%. Assuming that the sampling distribution is symmetric and bell-shaped, find and interpret a 95% confidence interval.
Answer:
8.96% Changes to 8.93% Step-by-step explanation:
9.4 * 0.0035 = 0.0329 where we add this on each side of the 9.4 to show 9.4-0.0329 = 9.3671 and 9.4329 then 9.4329 * 0.95 = 8.961255 = 8.96 then redo 9.3671 * 0.95 =8.898745 the symmetry is 8.961255 -8.898745 =0.06251 8.898745/ (0.06251 /2) nb 006251 distance standard error each side of symmetry line = 8.93% line of symmetry
You and your brother had a cookie bake-off! You made a dozen cookies each with a circumference of 10 inches and your brother made a dozen cookie bars with a perimeter of 10 inches. Who used more cookie dough? Assume the cookies are the same thickness.
Answer:
Your brother (I think i'm right)
Step-by-step explanation:
Perimeter is bigger than circumferance if same "length"
iPhone 8 has a screen with an aspect ratio of 16:9, a diagonal length of 5.5, and 1080 by 1920 physical pixels. compute the dimensions of the screen and the pixels per inch. pleasehelp I don't understand
Answer:
iPhone 8+ (2017) 736 × 414 1920 × 1080 16:9 3× 5.5″ 401 PPI
Step-by-step explanation:
a. Dimensions of the screen
The dimensions of the screen are height = 2.7 in and width = 4.8 in
Since the aspect ratio is the ratio of width, w to height, h of the iPhone 8 and it is 16:9, we have that
w/h = 16/9
w = 16h/9
Also, the diagonal length, d = 5.5 inches.
Since the iPhone 8 screen is a rectangle, the diagonal length d is gotten from pythagoras' theorem.
So, d = √(w² + h²)
Since w = 16h/9
d = √(w² + h²)
d = √((16h/9)² + h²)
d = h√((16/9)² + 1²)
d = h√(256/81 + 1)
d = h√[(256 + 81)/81]
d = h√[337/81]
d = h√4.16
d = 2.04h
Making h subject of the formula, we have
h = d/2.04
h = 5.5/2.04
h = 2.7 in
So, w = 16h/9
w = 16 × 2.7 in/9
w = 43.2 in/9
w = 4.8 in
So, the dimensions of the screen are height = 2.7 in and width = 4.8 in
b. Number of pixels per inch
The number of pixels per inch (PPI) is 400 pixels per inch
To find the number per inch, we need to find the total number of pixels on the screen which is 1080 by 1920 = 2073600 pixels.
The area of the screen is A = wh
= 4.8 in × 2.7 in
= 12.96 in²
So, the number of pixels per square inch (PPI²) is 2073600 pixels/12.96 in² = 160000 pixels/in².
So, pixels per inch(PPI) = √160000 pixels/in²
= 400 pixels per inch
So, the number of pixels per inch (PPI) is 400 pixels per inch
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Set of ordered pairs: Is it a function? (yes no ) Why or why not? (0,3),(-1,4),(2,4),(0,8),(5,7)
Answer:
No
Step-by-step explanation:
A function cannot have two different points with the same x-coordinate. For instance in this one, (0,3) & (0,8) share the same value of x
Damon sold a total of 20 boxes of candy at his store on Wednesday. These boxes contained only lollipops and gumballs.
Each box held 45 pieces of candy.
He earned $2 for each piece of candy he sold.
He earned a total of $948 from the lollipops he sold.
What amount of money did Damon earn from the gumballs he sold? Be sure to use numbers and/or words to show how you got your answer.
Answer:
He earned $852 from the gumballs he sold.
Step-by-step explanation:
It says he sold 20 boxes and there are 45 pieces of candy in each box so you multiply 20 and 45 and you will get 900 so they had sold 900 pieces of candy. And from the lollipops he earned $948 the you divided by 2 cause that is how much each piece cost and that gets you 474, which are how many lollipops he sold. So now that you have the amount of lollipops he sold you have to subtract that from the total amount of candy he had, which is 900, so minus 474 from that and you get 426 pieces of gum that were sold and then multiply that by 2 because it cost 2 dollars for each piece and you get $852.
What is the value of A when we rewrite 4^x+3-4^x as A*4^x?
Answer:
Step-by-step explanation:
4^(x + 3) - 4^x
4^x * 4^3 - 4^x
4^x (4^3 - 1)
4^x ( 64 - 1)
63 * 4^x
A = 63
HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!
Answer:
83 and 98
Step-by-step explanation:
help pls can you explain it in sentence form please
Answer:
1/2 is larger
Step-by-step explanation:
1/2 is larger because the smaller the denominator the larger the fraction.
Help !!!
Which of these could be the value of x in the triangle below?
50
29
4x
43
87
22
O 5
07
10
10 maybe? I don't really know but maybe 10 will be right?????