Answer:
Rational
Step-by-step explanation:
there are very few irrational numbers, such as
[tex] \sqrt{2} [/tex]
or π
most of irrational numbers have a lot of decimal digits. And also numbers with 2 decimal digits are all rational because you can write them as
[tex] \frac{49}{100} [/tex]
you start with a salary of $52,000, if you receive a raise of 3.15% every year, how much will you make in 4 years
You will make an amount of $58868 in four years
How to determine the amount in four years?The given parameters are
Salary, a = $52,000
Raise, r = 3.15%
Number of years, n = 4
The above parameters is an illustration of an exponential function
An exponential function is represented as
A(n) = a * (1 +r)^n
Where a, r and n represents the parameters stated above
So, we have
A(4) = 52000 * (1 +3.15%)^4
Evaluate the sum
A(4) = 52000 * 1.0315^4
Evaluate the products
A(4) = 58868
Hence, the amount in four years is $58868
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use long division to find 514/28.
Using the long division method we get the answer for 514/28 as 18.216 as the quotient and 17344 as the remainder.
Given the expression is 514/28
Following are the steps to use the long division method.
Step 1: Find the appropriate integer to divide the supplied value by.
Step 2: To determine the amount to be removed from the payout, multiply the integer (quotient) and divisor.
The third step is to deduct the amount from the dividend.
Step 4: Subtract the remainder and any additional digits from the dividend.
28 | 514.00 00 00 |18.216
18 | 504
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
462 | 10 00
+ 2 | 924
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
4641 | 7600
+ 1 | 4641
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
46426 | 295900
+ 6 | 278556
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
17344
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
Hence we get the required answer.
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How many times bigger is 8 ×10^20 than 2x10^15? express answer in standard form
Answer:
4×10^5
Step-by-step explanation:
Divide (8×10^20) by (2×10^15). Then express the answer you obtain in standard form.
Will give brainliest!!
Write the equation of the line, in standard form, that passes through the origin and is parallel to x+y= 6. Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.
Answer:
Parallel to x+y=6
x+y-x=6-x
y=-x+6
y=mx+b
Slope: m=-1
As the line is parallel must have the same slope:
m=-1
And it passes through the origin, then b=0
y=mx+b
y=(-1)x+0
y=-x
In standard form:
y+x=-x+x
x+y=0
Answer: The equation of the line, in standard form, that passes through the origin and is parallel to x+y=6 is x+y=0
Step-by-step explanation:
Can I please get help with this. I am confused as to where I should reflect the quadrilateral ?
We need to reflect the given quadrilateral across the x-axis.
When we reflect a point across the x-axis, we need to negate the y-coordinate and leave the x-coordinate the same
The point of the given quadrilateral are:
(5,-2)
(2,-4)
(4,-8)
(7,-5)
When we reflect these points on the x-axis, the new points are:
(5,-(-2) = (5,2)
(2,-(-4)=(2,4)
(4,-(-8) =(4,8)
(7,-(-5)=(7,5)
18.1(2x+3)greater than or equal too -452.5
(if you dont know what greater than its this > )
Answer:
x ≥ -14
Step-by-step explanation:
Hello!
The equation is 18.1(2x + 3) ≥ -452.5
Solve the inequality for x18.1(2x + 3) ≥ -452.536.2x + 54.3 ≥ -452.536.2x ≥ -506.8x ≥ -14The inequality is true for all values of x greater than or equal to -14.
The measure of an angle is 21°. What is the measure of its supplementary angle?
Answer:
180-21= 159
Step-by-step explanation:
supplementary angles means their sum equals 180
Compare each of the following pair of improper fractions.
Answer:
"Compare each of the following pair of improper fractions." WHERE ARE THE PAIRS? i need then to solve?
Step-by-step explanation:
suppose y varies directly with x. write a direct vairation equation that relates x and y. y=-10 when x=2
Answer:
y = - 5x
Step-by-step explanation:
given y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
to find k use the condition y = - 10 when x = 2 , then
- 10 = 2k ( divide both sides by 2 )
- 5 = k
y = - 5x ← equation of variation
the fraction 39/4 is between which two numbers?
Answer:
9 and 10
Step-by-step explanation:
39/4 equals 9.75, meaning it is in between 9 and 10
Carrie apartment building ramp has a 2-foot height and a 4-foot base the new building code says the ramp must have a 1:4 height base ratio . How Can Carrie adjust her ramp base to meet the new code ?
The height of building ramp is h = 2 foot.
The base of the building ramp is b = 4 foot.
The code for new bulding is,
[tex]\begin{gathered} \frac{h}{b}=\frac{1}{4} \\ h=\frac{b}{4} \end{gathered}[/tex]Let the new base be x for new building code and height remain same h = 2.
[tex]\begin{gathered} 2=\frac{x}{4} \\ x=8 \end{gathered}[/tex]So Carrie increase the base from 4 foot to 8 foot.
Detemine the adjustment in base.
[tex]\begin{gathered} b^{\prime}=8-4 \\ =4 \end{gathered}[/tex]Thus Carrie increase the base by 4 foot to meet the new code for the building.
Find the fourth-degree polynomial function with zeros 2, -2, 2i, and -2i. Write the function in factored form.
Answer:
[tex]f(x) = {x}^{4} - 16[/tex]
Step-by-step explanation:
[tex]f(x) = (x + 2i)(x - 2i)(x - 2)(x + 2)[/tex]
[tex]f(x) = ( {x}^{2} + 4)( {x}^{2} - 4) [/tex]
[tex]f(x) = {x}^{4} - 16[/tex]
200 college freshmen were interviewed, 95 were registered for a math class, 80 were registered for an english class, and 60 were registered for both math and english how many signed up neither for math nor english?
Total number of college freshmen that signed up neither math nor English is 85
Total number of college freshmen interviewed = 200
Number of college freshmen registered for a Math class = 95
Number of college freshmen registered for a English class = 80
Number of college freshmen registered for both math and English = 60
Total number of college freshmen signed up either for math or English = Number of college freshmen registered for a Math class + Number of college freshmen registered for a English class - Number of college freshmen registered for both math and English
Total number of college freshmen signed up either for math or English = (95 + 80 - 60) = 115
Total number of college freshmen signed up neither math nor English = ( Total number of college freshmen interviewed - Total number of college freshmen signed up either for math or English )
Total number of college freshmen signed up neither math nor English = 200 -115 = 85
Thus, 85 college freshmen signed up neither math nor English.
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A carpenter cuts lumber to the length of 36 inches. For her project, the lumber must be accurate within 0.125 inches.
Part A: Write an inequality to represent the acceptable length of the lumber. Explain your reasoning.
Part B: Solve the inequality. The state the maximum and minimum length for the lumber.
The inequality to represent the acceptable length of the lumber is x ± 0.125 inches.
What is an inequality ?
The occurrence of an unfair and/or unequal distribution of opportunities and resources among the people that make up a society is referred to as inequality. To different people and in various settings, the word "inequality" may indicate different things.
Let the lengths she cuts the lumber be x.
Therefore according to the question,
x ± 0.125 inches
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Could someone explain this to me?
The rule of the function g (x) will be;
⇒ g (x) = - x + 3
What is mean by Translation?
A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Given that;
g (x) is the indicated transformation of f (x).
The rule of f (x) is,
f (x) = - x + 5 ; horizontally translation 2 units left.
Now,
The rule of f (x) is,
f (x) = - x + 5 ; horizontally translation 2 units left.
Since, g (x) is the indicated transformation of f (x).
So, g (x) = f (x + 2)
Hence, We get;
g (x) = - (x + 2) + 5
= - x - 2 + 5
= - x + 3
Thus, The rule of the function g (x) will be;
⇒ g (x) = - x + 3
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a+5= -5a+5 I am confused on how to solve this equation.
Answer
a = 0
Explanation
a + 5 = -5a + 5
We will bring the terms with a togther and the terms without together
a + 5 = -5a + 5
a + 5a = 5 - 5
6a = 0
Divide both sides by a
(6a/6) = (0/6)
a = 0
Hope this Helps!!!
Jennifer is practicing her free throws. She made 4/5 of the shots she took at basketball practicetoday. Using long division, what is the decimal equivalent of 4/5?
Answer:
0.8
Explanation:
We use the long division table to find the decimal equivalent of 4/5.
In the long division table:
• Write the denominator (the one below) outside
,• Write the numerator (the one above) inside
The table is attached below:
Therefore, the decimal equivalent of 4/5 is 0.8.
if 1+1=2and2-1=1what is 3-2equal to
Answer: 1 because 3 take away 2 you have 1 lol
Step-by-step explanation:
Answer:1
Step-by-step explanation:
You simply subtract 3-2=1
Hopes this helps
Would you classify 180 as a perfect square,perfect cub,both or neither
plse answer this question
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The final value for the expression
[tex]m^{7}[/tex] ÷ m² is [tex]m^{5}[/tex]
n³ x n³ x n³ = [tex]n^{9}[/tex]
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
[tex]m^{7}[/tex] ÷ m²
= [tex]m^{7}[/tex] / m²
= [tex]m^{7-2}[/tex]
= [tex]m^{5}[/tex]
n³ x n³ x n³
= [tex]n^{3+3+3}[/tex]
= [tex]n^{9}[/tex]
Thus,
The final value for the expression
[tex]m^{7}[/tex] ÷ m² is [tex]m^{5}[/tex]
n³ x n³ x n³ = [tex]n^{9}[/tex]
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7/9Z-6/9Z+4-5/9Z-7 Please Help
The expression can be written as
What is an expression?
An expression, often referred as a mathematical model, is a continuous collection of signs that are well-formed in accordance with context-dependent principles. Numbers (predictor variables), parameters, processes, functions, brackets, capitalization, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's sequence of actions and other features. In algebra, a value might well be designated by an expression; this value may rely on the values given to the variables that the expression contains. The semantics associated with the symbols in the expression determine this value. The expression's development gains which meaning to use. It is unclear if two λ expressions are equivalent. The idioms used to represent hard figures are the same way.
The expression is
7/9Z-6/9Z-4+5/9Z-7
= (7-6-36Z+5-63Z)/9Z
= (6-99Z)/9Z
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what is the answer ??
Answer:
60 Sq in
Step-by-step explanation:
14×6= 84
4×6=24
84-24= 60
PLEASE HELP ASAP
What reason completes the proof below?
A. Alternate interior angles theorem
B. Corresponding angles postulate
C. Alternate exterior angles theorem
D. Same-side interior angles theorem
One number is 4 more than 2 times another. Their product is 30. Find the numbers. The numbers are ? and ? or ?and ? .
Let the first number be x and y be the second.
Then we habe:
I) x - 4 = 2y
II) x*y = 30
We can rewrite equation I as:
x = 2y + 4
Applying this result on equation II, we have:
(2y + 4)*y = 30
2y² + 4y = 30
2y² + 4y - 30 = 0
y² + 2y - 15 = 0
[tex]\begin{gathered} y_+=\frac{2+\sqrt[]{(2)^2-4\cdot1\cdot(-15)}}{2} \\ y_+=\frac{2+\sqrt[]{64}}{2} \\ y_+=\frac{10}{2} \\ y_+=5 \end{gathered}[/tex]The second root is negative and don't satisfy equations I and II, then we can discard it.
Replacing y with 5 in equation I, we have:
x - 4 = 2*5
x = 2*5 + 4
x = 14
Consider a car with a cash price of $4,000, offered on the installment plan for $146 per month for 36 months.
Calculate (a) the total installment price, (b) the carrying charges, and (c) the number of months needed to save the money at the monthly rate to buy the car for its cash price.
Use commas and decimal points in your answers when appropriate. Round to two decimal places if necessary
(a) The total installment price is $5256 .
(b) The carrying charges is $1256 .
(c) The number of months needed to save the money at the monthly rate to buy the car for its cash price is 28 months .
In the question,
it is given that
Price of the car in cash = $4000
amount to be paid as installment per month = $146
time for installment = 36 months
Part(a)
the total installment price can be calculated using the formula
total price = (per month installment) * (number of months)
Substituting the values , we get
total price = 146*36
= 5256
So , total installment price = $5256
Part(b)
the carrying charges can be calculates using the formula
carrying charges = total installment price - price in cash
Substituting the values ,we get
carrying charges = 5256-4000
= 1256
So, carrying charges = $1256
Part(c)
the number of months needed to save the money at the monthly rate to buy the car for its cash price , can be calculated using the formula .
number of months = (price in cash)/(monthly rate)
= 4000/146
= 27.39
rounding , we get
≈ 28
number of months = 28 months
Therefore , (a) The total installment price is $5256 .
(b) The carrying charges is $1256 .
(c) The number of months needed to save the money at the monthly rate to buy the car for its cash price is 28 months .
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Question 5. Solve for X. Can someone help me I don’t know how to solve this one
Answer:
x = 7
Step-by-step explanation:
since 2 sides are congruent, then the triangle is isosceles with base angles being congruent , both (9x - 25)
the sum of the 3 angles in the triangle = 180° , that is
9x - 25 + 9x - 25 + 104 = 180
18x + 54 = 180 ( subtract 54 from both sides )
18x = 126 ( divide both sides by 18 )
x = 7
What’s the answer pls
Answer:
The "n" side
The "n" side is opposite of angle N
for each linear equation in the table, indicate weather the equation has no solution, one solution, or infinitely many solutions x-3=x+3-4x-8=4x+8
Given:
• x - 3 = x + 3
Let's solve the equation above
x - 3 = x + 3
x - x = 3 + 3
0 = 6
Therefore, since 0 = 6, we can say the equation has no solution.
Equation 2:
-4x - 8 = 4x + 8
Let's solve the equation.
-4x - 4x = 8 + 8
-8x = 16
Divide both sides by -8:
[tex]\begin{gathered} \frac{-8x}{8}=\frac{16}{-8} \\ \\ x=-2 \end{gathered}[/tex]Since x = -2, we can say the equation has one solution
ANSWER:
a) No solution
b) One solution
Charles and 7 other students spent a total of 480 hours picking up litter last year. How many hours did Charles spend picking up litter if each student spent the same amount of time?
Charles spent 60 hours picking up litter if each student spent the same amount of time.
According to the question,
We have the following details:
Charles and 7 other students spent a total of 480 hours picking up litter last year.
So, the total number of students including Charles are 8.
8 persons = 480 hours
So, we have to find time spent in hours for 1 person:
1 person = 480/8 hours
1 person = 60 hours
So, this one person can be any eight of them including Charles.
Hence, Charles spent 60 hours picking up litter last year with other 7 students.
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Which ordered pairs in the form (x, y) are solutions to the equation 7x-5x=28
The ordered pairs A. (−6, −14) and B. (−1, −7) in the form (x, y) are solutions to the equation 7x-5x=28.
What is ordered pairs?A pair is considered to be ordered when two elements are written inside parantheses and are separated by a comma. The ordered pair (x, y), for instance, is represented by the notation (x, y), where 'x' is referred to as the first element and 'y' as the second element.
Depending on the context in which they are used, these elements—which can either be variables or constants—have different names. In a pair of elements that are ordered, the elements' order is somewhat significant. This indicates that (x, y) might not always be equal to (y, x).
We have given the equation 7x – 5y = 28
we know that a ordered pair (x,y) must satisfy the equation
So let us do trial and error method
A. (−6, −14)
7(-6) – 5(-14) = 28
-42 + 70 = 28
28 = 28
ordered pair (−6, −14) in the form (x, y) satisfy for 7x – 5y = 28
B. (−1, −7)
7(-1) – 5(-7) = 28
-7 + 35 = 28
28 = 28
ordered pair (−1, −7) in the form (x, y) satisfy for 7x – 5y = 28
C. (4, 10)
7(4) – 5(10) = 28
28 - 50= 28
22 ≠ 28
ordered pair (4, 10) in the form (x, y) doesn't satisfy for 7x – 5y = 28
D. (7, 9)
7(7) – 5(9) = 28
49 - 45= 28
4 ≠ 28
ordered pair (7, 9) in the form (x, y) doesn't satisfy for 7x – 5y = 28
Thus, the ordered pairs A. (−6, −14) and B. (−1, −7) in the form (x, y) are solutions to the equation 7x-5x=28.
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Full question
Which ordered pairs in the form (x, y) are solutions to the equation 7x – 5y = 28?
Choose all answers that are correct.
A. (−6, −14)
B. (−1, −7)
C. (4, 10)
D. (7, 9)
