[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\bf \stackrel{\textit{\underline{I}nterest varies with \underline{b}alance}}{I=kb}\qquad \qquad \textit{we know that } \begin{cases} b=200\\ I=12.5 \end{cases} \\\\\\ 12.5=k200 \implies \cfrac{12.5}{200}=k\implies \cfrac{~~\frac{125}{10}~~}{\frac{200}{1}}=k\implies \cfrac{125}{10}\cdot \cfrac{1}{200}=k \\\\\\ \cfrac{1}{16}=k \qquad \qquad \textit{therefore}\qquad \boxed{I=\cfrac{1}{16}b} \\\\\\ \textit{when b = 500, what is \underline{I}?}\qquad I=\cfrac{1}{16}(500)\implies I=\cfrac{125}{4}\implies I=31.25[/tex]
What number is the same as 10^-5
Answer:
0.00001
Step-by-step explanation:
1
______
100000
hope this helps
Round each number to the nearest... 100; 387,530
To round 387,530 to the nearest hundred, we leave the hundreds digit unchanged because the tens digit is 3, which is less than 5. The rounded number is therefore 387,500.
To round the number 387,530 to the nearest hundred, we look at the tens digit, which is 3.
The rounding rule states that if the digit to the right of the rounding place is less than 5, you do not change the rounding digit. If it is 5 or more, you round up. Since the tens digit is 3, it is less than 5, hence we do not round up.
The hundreds digit is 5, and because we do not round up, 387,530 rounded to the nearest hundred is 387,500.
Remember, rounding off to a certain place involves looking at the digit immediately to the right of the place you are rounding to.
Deciding whether to round up or keep the original number the same is based on whether this digit is less than or equal to 4, or 5 and above respectively.
When simplifying the quadratic formula to solve the equation x 2 + 6x - 55 = 0, the number under the radical sign will be:
-184
232
256
Answer: 256
Step-by-step explanation:
x² + 6x - 55 = 0
The values under the radical are: b² - 4ac
(6)² - (4)(1)(-55)
= 36 - (-220)
= 36 + 220
= 256
12 = g - 56
(Solve for g)
Answer:
G=68
Step-by-step explanation:
First get G by it's self
By adding 56 on both sides
12 plus 56 equals 68
G=68
I Hope this helps you
The teacher passed out math books.The length is 10 inches and the width is 8 inches.What is the perimeter of each book?
Answer: The perimeter of each book is: " 36 in. " .
__________________________________________________
Step-by-step explanation:
__________________________________________________
Note that the given units are all in "inches (in.)" .
Use the formula for the "perimeter of a rectangle" ;
{which happens to work for a "square" as well;
since a "square" is a rectangle.}.
__________________________________________________
This is based on the assumption that the book is shaped like a
"rectangle" (or "square" —which is a rectangle).
__________________________________________________
The formula for the Perimeter of a rectangle is:
P = 2 L + 2 w ;
in which:
P = the perimeter of the rectangle;
for which we shall solve; [in "inches (in.)" ] ;
L = the length of the rectangle = 10 in. (given) ;
w = the width of the rectangle = 8 in. (given) .
___________________________________________________
Now, plug the given values for the "length (L)" and the "width (w)" ;
as follows:
___________________________________________________
P = (2 * 10 in.) + (2 * 8 in.) ;
P = (20 in.) + (16 in.) ;
P = 36 in.
___________________________________________________
Answer: The perimeter of each book is: " 36 in. " .
___________________________________________________
Hope this helps!
Best wishes in your academic pursuits
— and within the "Brainly" community!
___________________________________________________
what is the value of x
Answer:
The answer to your question is that x is equal to 50.
The student body at a high school was surveyed about sports participation. The table below shows the data by grade level.
The number of students who are in 9th grade and play two or more sports is a
'marginal frequency'
'Joint frequency'
The number of students who are in the 11th grade is a
'marginal frequency'
'joint frequency'
The percentage of the student body that plays one sport is a
'marginal relative frequency'
'joint relative frequency'
The percentage of the student body that are in 12th grade and do not play a sport is a
'marginal relative frequency'
'joint relative frequency'
Marginal frequency:
The number in the end column or row - "Total".
Joint frequency:
The ratio of the frequency in a particular category and the total number of data values.
Basically, the values that aren't in the final row or column - "Total".
The number of students who are in 9th grade and play two or more sports is a joint frequency.
This is only asking for the students in 9th grade who play two or more sports.
The number of students who are in the 11th grade is a marginal frequency.
This is asking for the total number of students in 11th grade.
The percentage of the student body that plays one sport is a marginal relative frequency'.
This is asking for the total number of students who play 1 sport.
The percentage of the student body that are in 12th grade and do not play a sport is a joint relative frequency.
This is only asking for the students in 12th grade and don't play sports.
Answer:
The answer is D on edge
Plz help!!!!!!!!!!!!!
Answer:
the third one
Step-by-step explanation:
-b to start is -(-6) which is 6
needs the plus and minus
the first expression is the whole numerator
Answer: [tex]\bold{c)\quad x=\dfrac{6\pm \sqrt{(-6)^2-4(3)(8)}}{2(3)}}[/tex]
Step-by-step explanation:
[tex]3x^2-6x+8=0\quad \rightarrow \quad a=3,\ b=-6,\ c=8\\\\\text{Quadratic formula is: }x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-6)\pm \sqrt{(-6)^2-4(3)(8)}}{2(3)}}\\\\\\x=\dfrac{6\pm \sqrt{(-6)^2-4(3)(8)}}{2(3)}[/tex]
7 square root of 75 simplify
7√75 = 7√25√3 = 35√3.
The simplification of the expression 7 * square root of 75 is 35 * square root of 3. This is achieved by factoring 75 into prime factors and finding pairs of those factors to take out from under the square root.
Explanation:To simplify the expression 7 * square root of 75, we first need to break down 75 into a product of prime factors:
75 = 5*5*3.
Since the square root of a number is the factor that, when squared, equals the original number, we can take out a pair of 5s from the square root:
Square root of 75 = 5 * square root of 3.
Finally, multiply this by 7 to get:
7* square root of 75 = 7 * 5 * square root of 3 = 35 * square root of 3.
Learn more about Square Root here:https://brainly.com/question/1540542
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Analyze the sequence 243, 162, 108, 72,…
Answer: You multiply 1.5 each time.
Step-by-step explanation:
72*1.5=108
108*1.5=162
162*1.5=243
And so on and so forth.... Hope it helped!
243 = 3x3x3x3x3
162 = 3x3x3x3x2
108 = 3x3x3x2x2
72 = 3x3x2x2x2
The next two numbers in the sequence would be
48 = 3x2x2x2x2
32 = 2x2x2x2x2
Jessica bought 12 pieces of candy at the store for $0.65 each. How much did she spend in all?
Please respond without using google
Jessica purchased 12 pieces of sweets for $7.8. Use multiplication, In mathematics, one finds the product of two or more numbers.
Calculate how much she spend?Multiplying in math is the same as adding equal groups. The number of items in the group grows as we multiply. Parts of a multiplication issue include the product, the two factors, and the product. The factors in the multiplication problem 12x 65 = 780 are the numbers 12 and 65, and the product is the number780.
Detailed explanation:
Using the formulas 12•65 or 12x65 = 780
Step-by-step explanation: The solution is 780 if you enter 12•65 or 12x65=78. ie , $7.8.
Jessica purchased 12 pieces of sweets for $7.8.
To learn more about Multiplication refer to:
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Final answer:
To find the total cost of the candy Jessica bought, we multiply the quantity (12 pieces) by the price per piece ($0.65) to get a total of $7.80 spent.
Explanation:
Jessica bought 12 pieces of candy at the store for $0.65 each. To find out how much she spent in all on the candy, we simply multiply the number of pieces of candy by the price per piece.
Using the equation:
total cost = (number of pieces) × (price per piece),
we get:
total cost = 12 × $0.65.
By doing the multiplication, we find that:
total cost = $7.80.
Therefore, Jessica spent $7.80 on the 12 pieces of candy.
One angle is 36 degrees. What is the measure of its complement?
Answer:
54
Step-by-step explanation:
90-36=54 degrees. The complement of an angle is 90- the angle
The jacket is on sale for $36 which Is 80% of the original cost. What is the original price of the Jacket?
Part,whole and percent
Answer:
$45
Step-by-step explanation:
To find the discount price, you make the discount a decimal and multiply, like so
.8x=36
then divide and your answer is 45
Does anyone know how to tell whether a number in bold is a solution? 35 points
help me please asap!
Answer:
[tex](x^2-9)(x^2+9)\\(x-3)(x+3)(x^2+9)[/tex]
Step-by-step explanation:
To factor the expression, factor as a difference of squares. Find the square root of each term and write it in this form (x+a)(x-a).
[tex]x^4 - 81\\(x^2 - 9)(x^2 + 9)[/tex]
Factor x² - 9 as a difference of squares.
[tex](x^2-9)(x^2+9)\\(x-3)(x+3)(x^2+9)[/tex]
This is the most factored form because a sum of squares cannot be factored.
I don’t know how to do this XD plzzzz help meh
Answer:
D) 5/2 divided by 8/6
Step-by-step explanation:
The function g is defined by g(x)=ax−7, where a is a constant. Find a, if the graph of g passes through the point ( 1/3 ,−2).
Answer:
a = 15
Step-by-step explanation:
The graph of function g(x) is described by g(x)=ax−7, or y = ax−7.
y = g(x)=ax−7 passes through (1/3, -2). We can subst. -2 for y and 1/3 for x to determine the value of the coefficient a:
-2 = g(1/3) = a(1/3) - 7
Solve for a. First, add 7 to both sides: 5 = a(1/3).
Next, multiply both sides by 3: 15 = a, or a = 15.
help subtract (xsquared +43x10)-(10xsquared-5x+10 express the answer in standard form
Answer:
[tex]\large\boxed{(x^2+43x+10)-(10x^2-5x+10)=-9x^2+48x}[/tex]
Step-by-step explanation:
[tex](x^2+43x+10)-(10x^2-5x+10)\\\\=x^2+43x+10-10x^2-(-5x)-10\\\\=x^2+43x+10-10x^2+5x-10\qquad\text{combine like terms}\\\\=(x^2-10x^2)+(43x+5x)+(10-10)\\\\=-9x^2+48x[/tex]
Work out
³√−64
Please help
Answer:
-4
Step-by-step explanation:
Cube Root is an odd number so your answer will still be negative in the end. 4x4x4= 64 so cube root 64 will be -4
Help! 20 points. Show step-by-step solution.
Simplify the expression -2.5f+0.8f-13-5
To simplify we can collect like terms so we get -1.7f-18 :)
solve the equation -7+2q=4
Regroup terms
2q - 7 = 4
Add 7 to both sides
2q = 4 + 7
Simplify 4 + 7 to 11
2q = 11
Divide both sides by 2
q = 11/2
The set of ordered pairs in the mapping below can be described as which of the following?
x----y
0 - 8
3 - 2
6 - -1
(1) a relation only
(2) a function only
(3) both a relation and a function
(4) neither a relation nor a function
Answer:
"(3)"
Step-by-step explanation:
Relation is a mapping between x-values and y-values. Xs are the domain and Ys are the range.
Given x values (0,3,6) and y-values(8, 2, -1), this is a relationship, so it is a relation.
To check whether a relation is a function or not, we simply see if each unique x value is paired with a unique y value.
Is there any y value that is same for x-values? NO! All are different. So this is a function as well!
Answer choice (3) is right.
Answer: (3) both a relation and a function
Step-by-step explanation:
Relation : It is the relation established between two set of values
Function : It is a kind of relation, where only output exist for e ach input.
Generally x values presents input values and y values represents the output values.
The given table :
x - y
0 - 8
3 - 2
6 - 1
Here, each x value is related to a y-value , so its a relation.
Also, there only one unique y-value for each x-values, thus its a function.
Hence, the set of ordered pairs in the mapping below can be described as both a relation and a function.
The product of 17 and 1.27
Answer:
1.27 x 17 = 21.59 Product means multiply
Step-by-step explanation:
Answer:
21.59
Step-by-step explanation:
17 x 1.27 = 21.59
21.59/17=1.27
Solve the equation.
y + 3 = –y + 9
y = 1
y = 3
y = 6
y = 9
(please provide an explanation) thank you :)
Answer:
3
Step-by-step explanation:
Let's get the variable y on the left side only and the constants on the right side only. To do this, add y to both sides.
This results in 2y = 6, and so y = 3.
Answer:
B
Step-by-step explanation:
Out of 6700 students of a school only 90% passed. Find how many students passed?
Answer:
6030 students passed.
Step-by-step explanation:
First: We must convert all percentages to decimals:
So, why do we need to convert all percentages to decimals. Well, you don't have to. It's just that it's easier to work with decimals than percentages. So I'll bold out all of the percents in this problem:
Out of 6700 students of a school only 90% passed. Find how many students passed?
So how do we convert that to a decimal. Well...
A: We have to take out the percent sign:
90
B: We have to move the decimal point 2 spaces to the left:
0.90
Now that we have our percent displayed as a decimal, we need to multiply it by the total number of students to find the fraction of people that passed.
So 0.90 [or 0.9] multiplied by 6700
[tex]0.9*6700 = 6030[/tex]
So, out of the 6700 students, 6030 passed.
Topic: Percentages
The sum of 1 and 3 times a number is 22
A. X= 4
B. X= 6
C. X= 7
D. X= 9
Question 3 options:
Now simplify each piece. Fill in the blanks:
(1.__) ±(2.___√(3.__)
1.__
2.__
3.__
Question 4 (3 points)
Hi, sorry i couldn't understand the format of the question, could you post a picture of the question please?
Neither do I understand the format, what is the numbers involved? or a picture please
Jeremiah has a batting average of 0.312 this baseball season. Express his average as a fraction in lowest terms.
312/1,000
39/125
13/50
13/42
There is not much that can be done to figure out how to write 0.312 as a fraction, except to literally use what the decimal portion of your number, the .312, means. Since there are 3 digits in 312, the very last digit is the "1000th" decimal place. So we can just say that .312 is the same as 312/1000.
Jeremiah's batting average of 0.312 can be expressed as the fraction 312/1,000, which can be further reduced to its simplest form 39/125 by dividing by their greatest common divisor, which is 8.
Explanation:To express Jeremiah's batting average of 0.312 as a fraction in lowest terms, we need to start by expressing it as a fraction out of 1,000, which gives 312/1,000. From there, we divide both the numerator (the top number) and the denominator (the bottom number) by their greatest common divisor to reduce it to its simplest form. The greatest common divisor of 312 and 1,000 is 8. If we divide 312 by 8, we get 39, and if we divide 1,000 by 8, we get 125. Therefore, the fraction in its simplest terms is 39/125.
Expressing decimals as fractions is a common task in Mathematics and it's a handy skill for dealing with real-world data, like a baseball player's batting average.
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Add. Simplify the answer and write the answer as a mixed number if appropriate 1/9 + 5/6
Final answer:
To add fractions 1/9 and 5/6, find the least common denominator, which is 18, and then add the numerators of the equivalent fractions with the same denominator. The sum is 17/18, a simplified fraction.
Explanation:
To add fractions with different denominators, you must first find a common denominator. For the fractions 1/9 and 5/6, the least common denominator is 18. Multiply each fraction by a form of 1 that will give them this new denominator without changing their value.
For 1/9, you multiply it by 2/2 to get 2/18. For 5/6, you multiply it by 3/3 to get 15/18. Now that the fractions have the same denominator, you can add the numerators together: 2/18 + 15/18 equals 17/18. Since 17/18 is less than 1, it is already simplified and there is no mixed number to write.