Answer:
6^1/20
Step-by-step explanation:
you multiply the two exponents
How many ways are there to choose eight coins from a piggy bank containing 100 identical pennies and 80 identical nickels?
There are 9 ways to choose eight coins from a piggy bank.
Total number of ways =
(Combinations of 8 pennies) + (Combinations of 7 pennies and 1 nickel) + ... + (Combinations of 0 pennies and 8 nickels)
1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = 9 ways
Y=10x
Graph the function
Explain how to rename the fractions using division so they have the same denominator to compare. 4/5 and 6/10
If 9 is added to twice a number and this sum is multiplied by 6 the result is the same as if the number is multiplied by 7 and 14 is added to the product. What is the number?
why does 16 to the power of 0 equal 1?
A truck has total of a pounds of fruit in each of n boxes. How many pounds of fruit are on the truck?
Answer:
a x n
Step-by-step explanation:
There are a pounds in n identical boxes. That means you would have to multiply to get the answer.
An urn initially contains 5 white balls and 7 black balls. each time a ball is selected, its color is noted and it is replaced in the urn along with 2 more balls of the same color. what is the probability that of the first 2 balls selected, one is white and one is black?
Eli earned $98 at his job when he worked for 8 hours. what was his hourly pay rate in dollars per hour hour?Express your answer in simplest form
two angles are supplementary. One angle measures at 75° more than twice the measure if the other. What are the measurements of the two angles?
In 1999 there were 1647 daily and 7471 weekly newspapers published in the United States, as well as X other kinds of newspapers. The total number of newspapers was 700 greater then seven times the number of other kinds of newspapers. How many newspapers were published in 1999 that were not daily or weekly
I NEED THIS ANSWER !!!! 90 POInTS
Find the length of the missing side. The triangle is not drawn to scale.
x = sqrt(17^2 + 15^2)
x = 8
missing side = 8
Given ΔJKL : ΔXYZ, find the scale factor.
6 8
---- ----
9 x
Answer:
it is 16
Step-by-step explanation:
The pyramid shown has a square base that is 1212 centimeters on each side. The slant height is 1818 centimeters. What is the surface area of the pyramid?
Answer : Surface area of pyramid = 4406832 square cm.
Explanation :
Since we have given that
Side of square base = 1212 cm
Slant height of pyramid = 1818 cm
As we know that ,
[tex]\text{Surface area of pyramid }=\frac{1}{2}\times perimeter\times \text{ slant height}[/tex]
[tex]\text{ Since, perimeter of square }=4\times side\\=4\times 1212\\=4848 cm[/tex]
Now,
[tex]\text{ Surface area of pyramid }= \frac{1}{2}\times 4848\times 1818\\\\\text{ Surface area of pyramid }=4406832\text{ square cm}[/tex]
Hence, surface area of pyramid = 4406832 square cm.
From their house to their parents house, the Leightons have to drive 276 miles. if they have already driven 2/3 of the distance, how far have they gone?
High statement is true? Y=log10^x is not a logarithmic function because the base is greater than 0
Answer:
Option 3 - [tex]y=\log_{1}x[/tex] is not a logarithmic function because the base is equal to 1.
Step-by-step explanation:
To find : Which statement is true?
Solution :
As the function defined in all statement is logarithmic function.
So, The definition of logarithmic function is defined as
[tex]y=\log_bx\Rightarrow b^y=x[/tex] where, b>0 and b ≠ 1.
Now, The following statement
1) [tex]y=\log_{10}x[/tex] is not a logarithmic function because the base is greater than 0.
The statement is False as by definition, the base of a log must be greater than zero but cannot equal one.
2) [tex]y=\log_{\sqrt3}x[/tex] is not a logarithmic function because the base is a square root.
The statement is False as by definition, the base [tex]\sqrt3[/tex] is a positive number not equal to one.
3) [tex]y=\log_{1}x[/tex] is not a logarithmic function because the base is equal to 1.
The statement is True as by definition log cannot have a base of one.
4) [tex]y=\log_{\frac{3}{4}}x[/tex] is not a logarithmic function because the base is a fraction.
The statement is False, as 3/4 is a legitimate base, just like any other positive number other than one.
Therefore, Option 3 is true.
A lake near the Arctic Circle is covered by a 2-meter-thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate. After 3 weeks, the sheet is only 1.25 meters thick. Let S(t) denote the ice sheet's thickness S (measured in meters) as a function of time t (measured in weeks). Write the function's formula.
Answer: The required function formula is,
S(t) = 2 - 0.25 t
Step-by-step explanation:
Here, the initial thickness of the ice sheet = 2 meters,
After 3 weeks, the thickness of ice sheet = 1.25 meters
Total changes in the thickness in 3 weeks = 2 - 1.25 = 0.75 meters,
⇒ Total changes in the thickness in 1 weeks = 0.75/3 = 0.25 meters,
Since, the ice is melting with the constant rate.
⇒ The rate of ice decreasing = 0.25 meters per week.
⇒ Total changes in t weeks = 0.25 t meters
The new thickness of ice after t weeks = Initial thickness - Total changes in t weeks.
⇒ S(t) = 2 - 0.25 t
Which is the required function's formula.
The function's formula for the ice sheet's thickness as a function of time is S(t) = -0.25t + 2.
Explanation:To write the function's formula, we can use the slope-intercept form of a linear equation, which is given by the equation y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope represents the rate at which the ice thickness decreases over time. From the given information, we know that the thickness decreases by 0.75 meters over 3 weeks. Therefore, the slope is -0.75/3 = -0.25 meters per week.
Since the ice thickness is 2 meters in the beginning, the initial point on the graph is (0, 2). Using the slope-intercept form, we can write the formula for the ice sheet's thickness as a function of time as:
S(t) = -0.25t + 2
Learn more about Arctic Circle lake ice thickness here:https://brainly.com/question/15739889
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The area of a circle (A) is given by the formula A=pi*r2
where r is the circle's radius. The formula to find r is . If and , r is centimeters.
The area of a circle is calculated with the formula A = πr², where pi is the mathematical constant approximately equal to 3.14159 and r represents the circle's radius. Considering significant figures is crucial for maintaining precision, as demonstrated in rounding the calculated area of a circle with radius 1.2 m to 4.5 m², based on the initial data's precision.
Explanation:The area of a circle is calculated using the formula A = πr², where π (pi) is a constant approximately equal to 3.14159, and r is the radius of the circle. When calculating the area with a given radius, it's important to consider the significance of figures in your final answer. For instance, if a circle's radius is given as 1.2 meters (with two significant figures), and you calculate the area to be 4.5238934 square meters using a detailed value of pi, you need to round your final answer to maintain the precision of your initial data, resulting in an area of 4.5 m².
It's also valuable to note how ancient civilizations, like the Greeks, approximated mathematics related to circles and how such estimations have evolved into our modern understanding, where the concept of significant figures plays a critical role in ensuring accuracy across varying fields of study and applications.
Find the measure of the major arc if its central angle is 35
what are the zeros of the function below?
f(x) = x(x-1)(x+11)/(x+12)(x-13)
a. 0,1, and -11
b. 0, -1, and 11
c. 13 and -12
d. -13 and 12
which of the following is equivalent to the polynomial below
divide -2x^3-5x^2+4x+2 by x+2
To divide the given polynomial by x + 2, use polynomial long division, which involves dividing the leading term, multiplying the divisor, subtracting, and repeating the process until all dividend terms are addressed.
To divide the polynomial -2x^3 - 5x^2 + 4x + 2 by x + 2, we can use the process of polynomial long division. This method is similar to long division with numbers, where we divide, multiply, subtract, bring down the next term, and repeat the process until we have gone through all terms of the dividend.
The process would look like this:
Divide the first term of the dividend (in this case, -2x^3) by the first term of the divisor (x), yielding -2x^2.Multiply the entire divisor (x + 2) by this quotient (-2x^2) and subtract the result from the dividend.Bring down the next term of the dividend and repeat the process until there are no terms left to bring down.The final result would be the quotient of the division, which may or may not have a remainder.
I need help I would really thank whoever answers this for me
Simplify the product. (5 − 6)(2 + 7)
Rosalia passed out fliers that say, “Vote for Rosalia!” She gave out 85 fliers on Monday, 66 fliers on Tuesday, and 99 fliers on Wednesday. What fraction of the fliers did she give out on Wednesday? Use a diagonal fraction bar in your answer. Explain how you found the answer.
Answer:
She gave out a total of 250 fliers and 99 of them were given out Wednesday. The fraction for that would be 99/250.
Step-by-step explanation:
Consider the provided information.
She gave out 85 fliers on Monday 66 fliers on Tuesday, and 99 fliers on Wednesday.
Now, calculate the total number of fliers she give:
She give 250 fliers in total.
We need to find the fraction of the fliers she give out on Wednesday.
On Wednesday she give 99 fliers and total she give 250 fliers.
99/250
Hence, she give out 99/250 fraction of fliers on Wednesday.
find the sum and express it in simplest form.
[tex](b - 3x) + ( - 5b + 6x - 5)[/tex]
1. What is the area of this figure?
Enter your answer in the box.
? cm²
2. What is the measure of angle x?
Enter your answer in the box.
x = °
Answer:
The area if this figure is 35cm2
Step-by-step explanation:
A rectangle is 5 centimeters long and 4 centimeters wide. What is its area?
Sarah spends 1/6 hour Vacuuming her moms car. She spends four times as long washing the car. Then she spends twice as long waxing the car as she does washing the car. What is the total amount of time Sarah spencer vacuuming washing and waxing her moms car
Answer:
C
Step-by-step explanation:
TRUE or FALSE?
Two arcs of a circle are congruent if and only if their associated radii are congruent.
If "np is greater than or equal to 15" and "n(1-p) is greater than or equal to 15", what is the approximate shape of the sampling distribution of the sample proportion?
Answer:
The sampling distribution of the sample proportion will be approximately normally distributed with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
If np >= 15 and n(1-p) >= 15
Can be approximated to the normal distribution, with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
So
The sampling distribution of the sample proportion will be approximately normally distributed with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]