What is the reciprocal of 36 divided 3/4
Answer:
1/27
Step-by-step explanation:
The reciprocal of 36 is 1/36 divided by 3/4
If you simplify 1/36 * 4/3
which equals 1/27
Hope this helps!
Answer: 48
Divide the first expression by the 2nd expresion
Find the first 4 terms and the 10th term, 2n-1
Answer:
1, 3, 5, 7 and 19
Step-by-step explanation:
to find the first 4 terms, substitute n = 1, 2, 3, 4 into the rule, then
a₁ = 2(1) - 1 = 2 - 1 = 1
a₂ = 2(2) - 1 - 4 - 1 = 3
a₃ = 2(3) - 1 = 6 - 1 = 5
a₄ = 2(4) - 1 = 8 - 1 = 7
the first 4 terms are 1, 3, 5, 7
to find the 10th term , substitute n = 10 into the rule
a₁₀ = 2(20) - 1 = 20 - 1 = 19
Using the definitions of sine and cosine on a right triangle, explain why each point (x, y) on the unit circle can be written as (cosθ, sinθ).
Any point on the unit circle may be expressed as (cos, sin), which denotes the angle formed between the radius of the point and the positive x-axis.
In a right triangle, the sine of an angle is defined as the length of the side opposite the angle divided by the length of the hypotenuse, and the cosine of an angle is defined as the length of the adjacent side divided by the length of the hypotenuse.
By definition, the cosine of θ is x (the length of the adjacent side) divided by 1 (the length of the hypotenuse), or simply x/1, which is just x. Similarly, the sine of θ is y (the length of the opposite side) divided by 1 (the length of the hypotenuse), or simply y/1, which is just y.
So we have shown that, for any point (x, y) on the unit circle, the cosine of the angle θ between the positive x-axis and the radius to the point is equal to x, and the sine of θ is equal to y.
Therefore, we can write any point on the unit circle as (cosθ, sinθ), where θ is the angle between the positive x-axis and the radius of the point.
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A music store marks up the instruments it sells by 30%.
1. If the store brought a guitar for $45, what will be the amount of the mark up?
Answer: They will mark it up 13.5$ to 58.5$
Step-by-step explanation:
45 x .3 = 13.5
45 + 13.5 = 58.5
Answer:
The mark up will be 13.5
Step-by-step explanation:
The library sponsors a chess club for members of all ages and skill levels. Currently, the ages of the members are 7, 9, 10, 11, 13, 14, 15, 16, 18, 19, 20, 21, and 22. The librarian uses a histogram to track the number of members in different age groups. For this situation, which is the appropriate way to label the age intervals on the x-axis?
Answer:
B. 7−10; 11−14; 15−18; 19−22
Step-by-step explanation:
you are packing your fish tank to move, but need to calculate the surface area and volume to choose an appropriate length, width, and height for your package so that it can fit the fish tank you are shipping. fish tank dimensions: 16 in x 8 in x 10 in step 1: find the surface area
Surface Area of fish tank = 736
To find the surface area of a fish tank, we need to calculate the combined area of all its sides.
Step 1: Find the surface area
The fish tank has six sides: the top, bottom, front, back, left, and right sides.
Surface Area = 2(Area of the top and bottom) + 2(Area of the front and back) + 2(Area of the left and right sides)
To calculate the area of each side:
Top and bottom sides: The area of a rectangle is calculated by multiplying its length by its width. Since the top and bottom have the same dimensions, we can calculate the area of one side and then multiply it by 2.
Area of the top and bottom = 2 * (length * width)
Front and back sides: The area of a rectangle is calculated by multiplying its length by its height. Again, since the front and back sides have the same dimensions, we can calculate the area of one side and then multiply it by 2.
Area of the front and back = 2 * (length * height)
Left and right sides: The area of a rectangle is calculated by multiplying its width by its height. As the left and right sides have the same dimensions, we can calculate the area of one side and then multiply it by 2.
Area of the left and right sides = 2 * (width * height)
Plugging in the dimensions of the fish tank:
Length = 16 in
Width = 8 in
Height = 10 in
Calculating the areas:
Area of the top and bottom = 2 * (16 in * 8 in)
Area of the front and back = 2 * (16 in * 10 in)
Area of the left and right sides = 2 * (8 in * 10 in)
Now we can sum up all these areas to find the total surface area:
Surface Area = Area of the top and bottom + Area of the front and back + Area of the left and right sides
Surface Area = 256+320+160
Surface Area = 736
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ASA, SSS, SAS
Define each postulate and give a well written and visual example of each term.
Include as much detail as possible
Answer:
In geometry, postulates are statements that are accepted as true without proof. The three postulates for congruent triangles are ASA, SSS, and SAS. These postulates are used to prove that two triangles are congruent.
ASA Postulate:
ASA stands for "Angle, Side, Angle." This postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
Visual example:
In the above image, ΔABC and ΔDEF have ∠A ≅ ∠D, ∠B ≅ ∠E, and AB ≅ DE. Therefore, we can conclude that ΔABC ≅ ΔDEF by ASA postulate.
SSS Postulate:
SSS stands for "Side, Side, Side." This postulate states that if the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent.
Visual example:
In the above image, ΔABC and ΔDEF have AB ≅ DE, BC ≅ EF, and AC ≅ DF. Therefore, we can conclude that ΔABC ≅ ΔDEF by SSS postulate.
SAS Postulate:
SAS stands for "Side, Angle, Side." This postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
Visual example:
In the above image, ΔABC and ΔDEF have AB ≅ DE, BC ≅ EF, and ∠B ≅ ∠E. Therefore, we can conclude that ΔABC ≅ ΔDEF by SAS postulate.
Overall, the ASA, SSS, and SAS postulates are important tools in proving the congruence of triangles in geometry. They allow us to make logical deductions about the properties of triangles based on their corresponding angles and sides.
Answer:
They are different because ASA means that the two triangles have two angles and the side between the angles congruent. SAS means that two sides and the angle in between them are congruent
Step-by-step explanation:
and sss If all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle, then the two triangles are said to be congruent by SSS rule.
2/3 divived by 1/6 \(2/3 divvied by 1/6\)
Three easy steps make dividing fractions the simplest: convert the divisor into a reciprocal. Multiply after changing the division symbol to a multiplication symbol. If you can, simplify.
Divide: 2/3 : 1/6 = 2/3 · 6/1 = 2 · 6/3 · 1 = 12/3 = 3 · 4/3 · 1 = 4
What is Division?When two fractions are divided, the first fraction is multiplied by the second fraction's reciprocal value. Finding the reciprocal of the second fraction (reverse the numerator and denominator, reciprocal of 1/ 6 is 6/1) is the first sub-step. Multiply the two numerators after that. Multiply the two denominators after that. The next intermediate step, cancellation by a common factor of 3, results in 4.
It takes only three easy steps to subtract fractions.
Divide: 2/3 : 1/6 = 2/3 · 6/1 = 2 · 6/3 · 1 = 12/3 = 3 · 4/3 · 1 = 4
Ensure that the denominators (the bottom numbers) are the same.
Take the highest digits out (the numerators). Place the solution above the same numerator.
Make the fraction simpler (if needed).
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f(x) = 3x -6 What is 7 times f(x)
Answer:
21x - 42, see below :)
Step-by-step explanation:
Hello!
We know that f(x) is equal to 3x - 6
We want to know what 7 * f(x) is so we should first substitute f(x) for 3x - 6
7 * f(x)
7(3x-6)
We use distributive property to open the parenthesis:
7 * 3x + 7 * -6
21x - 42
Answer:
21x - 42
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 3x - 6
7f(x)
Step 2: Find
Substitute: 7f(x) = 7(3x - 6)Distribute 7: 7f(x) = 21x - 42g Consider a brand of coffee. The weight of a pod of coffee this brand makes has mean 42.05 grams and standard deviation 0.025 grams. Using the central limit theorem and the normal distribution, what is the probability that the mean weight of 25 pods of coffee is less than 42.035 grams
Using the normal distribution, it is found that there is a 0.0013 = 0.13% probability that the mean weight of 25 pods of coffee is less than 42.035 grams.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).The parameters are given as follows:
\(\mu = 42.05, \sigma = 0.025, n = 25, s = \frac{0.025}{\sqrt{25}} = 0.005\)
The probability that the mean weight of 25 pods of coffee is less than 42.035 grams is the p-value of Z when X = 42.035, hence:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{42.035 - 42.05}{0.005}\)
Z = -3
Z = -3 has a p-value of 0.0013.
0.0013 = 0.13% probability that the mean weight of 25 pods of coffee is less than 42.035 grams.
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In anova, by dividing the mean square between groups by the mean square within groups, a(n) _____ statistic is computed.group of answer choices
In anova, by dividing the mean square between groups by the mean square within groups, a(n) Analysis of variance statistic is computed.
What is Analysis of variance ?
With the help of the statistical analysis approach known as ANOVA, apparent aggregate variability within a data set is explained by separating systematic components from random factors. Systematic influences, but not random ones, statistically affect the data set that is being presented.What are some instances where ANOVA has been applied?
An ANOVA demonstrates the link between the dependent variable and the level of the independent variable. For illustration: In order to determine whether there is a difference in the number of hours of sleep each night as your independent variable, you divide the groups into low, medium, and high social media use categories.Learn more about Analysis of variance
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Please help need this ASAP!!!
Answer:
I'm sorry I don't know this
Step-by-step explanation:
Aesha finds the sum of 4 and 2 and writes this number down.She then finds the product of 2 and the answer she wrote down.Find the number Aesha ends with.
Sum of two numbers is the addition of the numbers.
The number Aesha ends with is 12
Product of two numbers is the multiplication of the numberssum of 4 and 2
= 4 + 2
= 6
product of 2 and the answer she wrote down, that is, product of 2 and 6
= 2 × 6
= 12
Therefore, the number Aesha ends with is 12
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im trying to get htis one right i dont get it
Answer:
I'd love to help, but I need the full question first!!!
(Help ASAP!!)
You play a game on your phone. For every correct move you make, you
receive 50 points. For every second that it takes you over 2 minutes to complete the
game, you lose 3 points. You complete the game in 2 minutes 10 seconds using
3 correct moves. What is your score?
Answer:
120 is the score
Step-by-step explanation:
3 correct moves X 50 points for a correct move = 150 points
-3 points for every seconds over the time X 10 seconds over 2 minutes = 30 points lose -30
150 - 30 = 120
Which point is in the solution set of the given system of inequalities?
BRE
| x+y> 2
(4x+y2-1
5
-3 -2 -1
-2
-3
i ņ m Ti
(20)
Answer:
(0,3)
Step-by-step explanation:
just a guess C;
The point that satisfies both the inequalities is (0, 3).
Correct option is (C).
What is Inequality?Inequalities are mathematical formulas in which neither side is equal.
As per the given data:
We are given two inequalities, and we have to find out whether the points that are given in the options are satisfying the solution set of the given inequalities or not.
The inequalities are as follows:
x + y > 2
4x + y ≥ -1
For option (A). (2, 0)
Substituting the points in the given inequalities.
2 > 2 and 8 ≥ -1
Hence, this is incorrect.
For option (B). (0, 2)
Substituting the points in the given inequalities.
2 > 2 and 2 ≥ -1
Hence, this is incorrect.
For option (C). (0, 3)
Substituting the points in the given inequalities.
3 > 2 and 3 ≥ -1
Hence, this is correct.
For option (D). (0, -1)
Substituting the points in the given inequalities.
-1 > 2 and -1 ≥ -1
Hence, this is incorrect.
Hence, The point that satisfies both the inequalities is (0, 3).
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(The given question is incomplete, the complete question is given below)
Which point is in the solution set of the given system of inequalities?
x+y≥2
4x+y≥-1
A-(2, 0)B-(0, 2)C-(0, 3)D-(0, –1)
a 30% sugar syrup is mixed with 10% sugar syrup.The result is 600 g of 12% sugar syrup. How many grams of each syrup are in the mixture?
Answer:
130 grams of 30% sugar and 490 grams of 20% sugar
Step-by-step explanation:
The reason that the answer is what it is is because the total of the sugar syrup must be 600 grams. It is 13% which means that its 1/5 20% and 4/5 10% and if you divide 600 by 5 you get 130 therefore 130 grams of 20% sugar is correct and for the rest just subtract 130 from 610 the get the answer.
(hope this helps can i plz have brainlist :D hehe)
differentiate x+sinx/x+cosx with respect to x
Step-by-step explanation:
content://com.cryptotab.android.FileProvider/images/screenshot/1615820475640483392397139554304.jp
What is the correct answer to: The difference of a number s and 6, but the expression
The given statement can be translated into an algebraic expression as: s - 6.
What is an Algebraic Expression?Algebraic expression can be defined as a mathematical statement that expresses a given statement or word problem using numbers, variables, and operation signs.
How to Translate a Phrase or Statement into an Algebraic Expression?To translate a given statement into algebraic expression, the unknown number is usually represented by a letter or alphabet.
In the given statement, "the difference of a number s and 6", s is the unknown number. "Difference" means subtraction. Subtraction would then be represented by the operation sign, "-".
The statement would therefore be translated into an algebraic expression as: s - 6.
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Can someone help will give brainlist
Answer:
720
Step-by-step explanation:
10x9x8
Since they are picking 3 different instruments
please mark me brainliest :)
a triangle with two congruent sides is always a 45-45-90.
True
False
A triangle with two congruent sides(if they have the same shape and size) is not always a 45-45-90 triangle. So the given statement is false.
A 45-45-90 triangle is a special type of right triangle where the two legs (the sides adjacent to the right angle) are congruent, and the hypotenuse (the side opposite the right angle) is the square root of 2 times the length of the legs.
However, there are other triangles with two congruent sides that are not 45-45-90 triangles. For example, an isosceles triangle has two congruent sides but does not necessarily have a 45-degree angle. The angles of an isosceles triangle can vary depending on the specific lengths of the sides.
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3v(3v-2)-(3v-2)Help me factor this please. I know the answer, I want an explanation of how.
We have the following expression
\(3v(3v-2)-(3v-2)\)we have 2 terms, one of them is
\(3v(3v-2)\)and the other one is
\(-(3v-2)\)We can note that (3v-2) is repeated on both terms, so we can factorize (3v-2) in both terms, which gives
so this equivalent to:
therefore, the answer is:
\((3v-2)(3v-1)\)Simplify (9x^3+2x^2-5x+4)-(5x^3-7x+4)
\(=9x^{3} +2x^{2} -5x+4-5x^{3} +7x-4\\=9x^{3} -5x^{3} +2x^{2} -5x+7x+4-4\\=4x^{3} +2x^{2} +2x\)
Be remined for the second expression affects the signs of all the terms inside the brackets.
1
1
o A. 8× 2 / 2
.
B. 3x
O O c. 8 x 27 /
O D. 2x
000
Step-by-step explanation:
what ? nothing makes any sense here.
please read your problem statement again and type it here again, letter by letter, digit by digit, symbol by symbol.
1.Estimate square root 3
if 60! is written out as an integer, with how many consecutive 0’s will that integer end?
Answer:
14
Step-by-step explanation:
Ok, 60! is a really big number
\(x!=x(x-1)(x-2)...1\)
So we have 60*59*58...*1
2 times 5 is 10 which makes a terminal zero (ending zero)
We need to count how many fives and twos are in 60!
There are 60/5=12 5^1's
There are 60/25=2 5^2's
So 12+2=14
There are way more 2's than fives so we take the lesser number
So the answer is 14
*Note that 60/25 is not 2, we need an integer rounded down
Does anyone mind helping me on this?
Answer:
I. y = |x + 4|
Step-by-step explanation:
PLEASE HELP YOU WILL BE MARKED BRAINLIEST
Find the factored form of the expression. Check your answer. 6x2 + 54
Answer:
6⋅(x+3)⋅(x−3)
Step-by-step explanation:
Find an equation of the sphere with center (-3, 2, 6) and radius 5. What is the intersection of this sphere with the yz-plane? x = 0
The intersection of the sphere with the yz-plane is a circle centered at (2, 6) with a radius of 5.
The equation of a sphere with center (h, k, l) and radius r is given by (x - h)^2 + (y - k)^2 + (z - l)^2 = r^2. In this case, the center is (-3, 2, 6) and the radius is 5, so the equation of the sphere is (x + 3)^2 + (y - 2)^2 + (z - 6)^2 = 25.
To find the intersection of the sphere with the yz-plane (x = 0), we substitute x = 0 into the equation of the sphere. This gives (0 + 3)^2 + (y - 2)^2 + (z - 6)^2 = 25, which simplifies to 6^2 + (y - 2)^2 + (z - 6)^2 = 25. This equation represents a circle in the yz-plane centered at (2, 6) with a radius of 5.
Therefore, the intersection of the sphere with the yz-plane is a circle centered at (2, 6) with a radius of 5.
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a postal worker counts the number of complaint letters received by the united states postal service in a given day. identify the type of data collected.
When a postal worker counts the number of complaint letters received by the united states postal service in a given day, the type of data collected is quantitative.
How to explain the dataQuantitative data is data that can be measured and expressed in numbers. In this case, the number of complaint letters received by the United States Postal Service in a given day can be measured and expressed as a number.
Qualitative data, on the other hand, is data that cannot be measured or expressed in numbers. For example, the contents of the complaint letters would be qualitative data.
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