Answers
Step-by-step explanation:
1. 10.58
2. 15.87
3. 20.37
4 25.88
5. 8.89
6. 2.24
7. 9.95
8. 4.80
Related Questions
A car and a truck follow the same route on a pair of round-trip deliveries. The function c(x) = -72 ∣ x - 5 | + 360 represents the distance (in miles) of the car from the starting point after x hours. The truck’s distance from the starting point is shown in the graph
Which vehicle takes longer to complete the delivery? How much longer? Justify your answers.
Answers
The truck takes a time of 1 longer to complete the delivery than that of the vehicle.
How to interpret Linear Functions?We are given the function that represents the distance (in miles) of the car from the starting point after x hours as;
C(x) = -72|x - 5| + 360
Now, at a time of x = 5 hours, the distance covered by the car is;
C(5) = -72|5 - 5| + 360
C(5) = 0 + 360
C(5) = 360 miles
Thus, the car covers a distance of 360 miles in 5 hours
Now, from the given graph that represents the truck’s distance from the starting point, we see that after 6 hours, it has covered 360 miles. Thus, we say that the truck covers 360 miles in 6 hours.
Thus, the truck takes 1 longer to complete the delivery than that of the vehicle.
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A company has 14 offices that need new carpeting. Each office
measures 22 feet by 17 feet. How much carpeting does the
company need?
Answers
22x17=374ft per office
374x14=5,236ft
15. Use what you know about scientific notation to write the number -80,000 with a power of 10.
Answers
Answer:345600000000
Step-by-step explanation:
The proper format for scientific notation is a x 10^b where a is a number or decimal number such that the absolute value of a is greater than or equal to one and less than ten or, 1 ≤ |a| < 10. b is the power of 10 required so that the scientific notation is mathematically equivalent to the original number.
Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.
Count how many places you moved the decimal point. This number is b.
If you moved the decimal to the left b is positive.
If you moved the decimal to the right b is negative.
If you did not need to move the decimal b = 0.
Write your scientific notation number as a x 10^b and read it as "a times 10 to the power of b."
Remove trailing 0's only if they were originally to the left of the decimal point.
Example: Convert 357,096 to Scientific Notation
Move the decimal 5 places to the left to get 3.57096
a = 3.57096
We moved the decimal to the left so b is positive
b = 5
The number 357,096 converted to scientific notation is 3.57096 x 10^5
What is the answer for this question
Answers
The true statement about the minimum or maximum value of the given function is that: A. the function has a maximum value of 1.
What is a function?A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for mapping an input variable to an output variable.
What is the maximum?The maximum value of a function can be defined as a point on the graph where the function reaches its highest point. This ultimately implies that, the maximum value of a function refers to its vertex on a graph.
In conclusion, the true statement about the minimum or maximum value of the given function is that the function has a maximum value of 1.
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Complete Question:
Which is the minimum or maximum value of the given function?
A. The function has a maximum value of 1.
B. The function has a minimum value of 1.
C. The function has a maximum value of -2.
D. The function has a minimum value of -2.
Solve for j.
j+ 14
6
=4
Submit
Answers
YesAnswer:
Step-by-step explanation:
yeah
Answer:
Step-by-step explanation:
j+146=4 the proper way t solve this is DCVS
1 DISTRIBUTE
2COMBINE
3VARIABLES ON side constants on another
4 Solve
1st things first J+146-146=4-146
so the answer is j= -142 hope you enjoyed please give me brainliesttt thank you
Isaiah has organized his personal information to calculate his net worth in a table, n Student loans Checking account balance 'Auto loan Credit card debt Car value Other personal property Cash on hand Savings account balance Based on this information, which table could be Isaiah's assets and liabilities statement?
Answers
The ratio of isaiah,s liabilities is less than 1.
Let , isaiah has total debt (not including mortgage) is $7,410.
Her net worth (not including his home) is $21,000.
Therefore, his debt-to-equity ratio is $7,410 divided by $21,000, or 0.35.
therefore, this ratio is less than 1, isaiah has not reached the upper limit of debt obligations.
Your net worth can be calculated by subtracting all of your debts and liabilities from your assets. You may have items that are intangible or difficult to sell that may be excluded from calculations used by financial institutions to determine loan eligibility.
the difference between your assets and your liabilities is your net worth. The formula looks like this: (Sum of the current value of all assets) - (Sum of the current total of all outstanding liabilities) = Net worth.
The net worth of a business is also known as its book value, or as its owners' (stockholders') equity. This figure can be computed relatively easily using information found on a company's balance sheet. However, even if the balance sheet isn't available, you can still calculate a business' net worth if you have some basic financial information.
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What is £105.035 rounded to the nearest whole penny?
Answers
Answer:
£105.04
Step-by-step explanation:
To round an amount to the nearest cent, check the value of its thousandths. If the value is equal to 5 or greater, increase the value in the cent’s place by 1 and then remove all digits to the right after the second decimal place. If the value is equal to 4 or less, simply remove all the digits to the right after the second decimal place. For example with £105.035 the thousandths’ value is 5, so we round up: £105.035 --> £105.04
How do you do the following problem:
f(6)= square root of 6
Answers
The answer for the given function f(6)= square root of 6 is 2.449 approx.
Given :
f(6) = square root of 6
Function :A function relates an input to an output. In simple word it is a relation between a set of inputs having one output each.
"f(x) = ... " is the classic way of writing a function.
f(6) = √6
To determine the f(6) = √6 we will solve the square root of 6.
So, the value of √6 will be 2.449 approx.
Then,
f(6) = √6
f(6) = 2.449
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tomas makes balloon sculptures at6 a circus im 180 minutes he uses 252 balloons to make 36 identical sculptures what is tomam's unit rate for balloons per minute
Answers
By taking a quotient, we can see that while he works, he uses 1.4 ballons per minute to make scultures, so the unit rate is 1.4 balloons/minute.
What is Tomas' unit rate for balloons per minute?
The unit rate refers to the quotient between two quantities, if we want to find the rate for ballons per minute, we need to take the quotient between the number of ballons that he uses and the total time in which he does that. The unit rate will tell us how many ballons he uses per minute
Here we know that he uses a total of 252 balloons, and he does that in a total time of 180 minutes, then the unit rate is just the quotient:
R = (252 ballons)/( 180 min)= 1.4 ballons/minute
This means that while he works, he uses 1.4 balloons per minute to make sculptures, so the unit rate is 1.4 balloons/minute.
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What is the solution set of {x | x > -5} u {x | x < 5}?
A) all numbers except -5 and 5
B) the numbers between -5 and 5
C) the empty set
D) all real numbers
Answers
On solving the inequalities The solution for this is option D
(D)All real numbers
For this case we must find the solution set of the following inequalities:
The solution is given by all values of x greater than -5.
The solution is given by all values of x greater than -5.
This is the union of both the inequalities a hence all the real numbers will justify the inequalities.
Then, the solution set is given by all real numbers.
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us using the point slope formula why negative y1 = m x - X1 find the equation of the line whose slope is 3 and that passes through the point negative 912 write the equation is slope intercept form
Answers
The equation of line in the slope intercept form is; y = 3x - 45.
What is the definition of the point slope intercept form?The point slope shape is used to compute the equation of a straight line a inclined to the x-axis at a specific angle and passing through a given point.The equation of a line is a formula that is satisfied by every point on the line. two-variable linear equation thus represents a line.The equation of the line in slope intercept form is;
(y - y₁) = m(x - x₁)
The given coordinates are-
(x₁ ,y₁) = (-9, 12)
the slope of the line is;
slope = m = 3.
Put the values in the equation;
y - (-9) = 3(x - 12)
y + 9 = 3x - 36
y = 3x - 36 - 9
y = 3x - 45
Therefore, the equation of line in the slope intercept form is;
y = 3x - 45.
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An open box is made from a 40-cm by 60-cm piece of tin
by cutting a square from each corner and folding up the
edges. The area of the resulting base is 2204 cm². What
is the length of the sides of the squares?
Answers
The length of the side of the square cut from the box is 7 cm.
What is defined as the rectangle?A rectangle is a kind of of quadrilateral, a two-dimensional shape with four sides as well as four vertices. The rectangle's four angles are all right angles as well as equal to 90 degrees.It has two parallel pairs of sides and 4 right angles. A rectangle is also meant to refer to as an equiangular quadrilateral. This is due to the fact that a rectangle is indeed a quadrilateral (4-sided shape) with parallel sides that are equal to one another and all four corners.For the given question;
The dimension of the box is;
Length = 60 cm.
Breadth = 40 cm.
Then the area of the base of the rectangular box before cutting is;
Area = length×breadth
Area = 60 × 40
Area = 2400 cm².
Let the side of the square cut be 'x'
Then the area of one square is x².
As, square is being cut from each corner, thus the total area will be; 4x².
The area of resulting base after square is cut is 2204 cm².
Thus, the area of cut square = old area - resulting area
Area cut = 2400 - 2204
Area cut = 196
Thus, Area cut = total area of 4 square.
Area cut = 4x²
4x² = 196
On solving;
x = 7.
Thus, the length of each square cut from the rectangle is 7 cm.
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Esta semana ,laura trabajo 40 horas de tiempo regular y 3 horas adicionales. si ella percibe $12.00por horas regular y una vez y media esa cantidad por hora adicionales cuantos dinero obtuvo laura esta semana
Answers
The amount that Laura will earn for the week based on the information is $534.
How to illustrate the information?Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
As an illustration, the phrase x + y is one where x and y are terms with an addition operator in between. There are two sorts of expressions in mathematics: numerical expressions, which only contain numbers, and algebraic expressions, which also include variables.
In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.
A symbol without a set value is referred to as a variable.
A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.
In an expression, a coefficient is a number that is multiplied by a variable.
It should be noted that Laura works 40 regular hours and 3 hours overtime.
Therefore, the amount that she earns will be:
= (40 × $12) + (3 × $18)
= $480 + $54
= $534
The amount that she earns is $534.
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if x = -5 and y = -2 evaluate x2 - y3.
Answers
Answer: The answer is -4
Step-by-step explanation: The answer is -4 because you when you substitute x for -5(2) and y for -2(3). Which then equal -10 and the -6 turns into a positive 6 which then leads to -10+6 and equals -4!
Hope this Helps :D
d
A
In the diagram above, the "d" represents the:
a. diagram
b. diameter
c. radius
d. arc
Exit
Submit
Answers
Answer:
diameter
Step-by-step explanation:
The chord of a circle that passes through the center is the diameter.
Rewrite one sixth times x cubed times y plus five sixths times x times y squared using a common factor.
one third times x times y times the quantity x squared plus 5 times y end quantity
one third times x times y times the quantity 3 times x squared plus 15 times y end quantity
one sixth times x times y times the quantity x squared plus 5 times y end quantity
one sixth times x cubed times y squared times the quantity y plus 5 times x end quantity
Answers
The final expression after using a common factor is:
Option C - one-sixth times x times y times the quantity x squared plus 5 times y end quantity
i.e (1/6)xy ( x² + 5y )
What is an expression?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
We have,
one-sixth times x cubed times y plus five-sixths times x times y squared.
This can be written as:
(1/6)x³y + (5/6)xy²
Taking out (1/6)xy as the common factor.
(1/6)xy ( x² + 5y )
Thus the expression after using a common factor is:
one-sixth times x times y times the quantity x squared plus 5 times y end quantity
i.e (1/6)xy ( x² + 5y )
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Answer:
Option c it's obvious
Step-by-step explanation:
Answer it please i need your help….
Answers
Answer: the trust store, because a smaller denominator is a bigger fraction.
1. What Can You Say About The Sign Of Two Numbers If Their Product Is Positive?
2. What Can You Say About The Sign Of Two Numbers Is Their Quotient Negative?
3. If You Have The Product Of Four Number One is Positive And Three Are Negative, What Will The Sign Of The Product Be?
Answers
all them correct right
Is this a translation, rotation, or reflection?
Answers
Answer:
rotation
Step-by-step explanation:
Math Math Math Math mTh
A borrower has two alternatives for a loan: (a) issue a $480,000, 60-day, 8% note or (b) issue a $480,000, 60-day note that the creditor discounts at 8%. (Assume a 360-day year is used for interest calculations.)
Answers
1) The determination of the amount of the interest expense in each alternative is as follows:
Alternative A: $6,400
Alternative B: $6,356.82
2) The determination of the proceeds received by the borrower in each alternative, based on their present values, is as follows:
Alternative A: $480,000
Alternative B: $473,643.18
Data and Calculations:Alternative A Alternative B
Note Payable $480,000 $480,000
Maturity period 60 days 60 days
Interest /Discount rate 8% 8%
Calendar Year = 360 days
The amount received $480,000 $473,643.18 (PV)
Interest paid $6,400 $6,356.82
Alternative A:Interest = $6,400 ($480,000 x 8% x 60/360)
Present Value for Alternative B:N (# of periods) = 60 days
I/Y (Interest per year) = 8%
PMT (Periodic Payment) = $0
FV (Future Value) = $480,000
Results:
PV = $473,643.18
Total Interest $6,356.82
Thus, the borrower received $480,000 using alternative A and $473,643.18 with alternative B based on the present value of the future cash flow.
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Question Completion:1) Determine the amount of the interest expense in each alternative.
2) Determine the proceeds received by the borrower in each alternative.
When Ava went to bed, the temperature was 3°F. When she woke up, the temperature had decreased by 6°F
Answers
when you move diagonal on coordinate plane, what axis are you moving on?
Answers
the temperature was 3 degrees celcius at midday. By evening, the temperature was -5 degrees celcius
Answers
. Mike is putting up a fence in the backyard. The fence comes in sections that are 4 2/3
feet long. If the yard is 34 feet long, how many sections will he need to buy?
Answers
Answer:
[tex]7\frac{2}{7}[/tex] sections of fence
Step-by-step explanation:
since we are trying to find how many sections we need and we are given the total length of the yard and the length of each section of the fence, we are going to divide.
you want to divide the 34 yards into the 4 2/3 feet. to make this easier, we can turn 4 [tex]\frac{2}{3}[/tex] into a mixed number. to do this we multiply the 4 by the denominator which is the number on the bottom and add it to the numerator which is the number at the top.
4x3=12
12+2 = 14
[tex]\frac{14}{3}[/tex]
[tex]\frac{34}{1}[/tex] ÷[tex]\frac{14}{3}[/tex]
to divide fractions we multiply by the reciprocal which would be
[tex]\frac{34}{1}[/tex]×[tex]\frac{3}{14}[/tex]
now we just multiply across
34x3= 102
1x14=14
[tex]\frac{102}{14}[/tex]
now the furthest we can simplify this is by dividing the whole thing by 2
51/7
now we turn this back into an improper fraction
we get [tex]7\frac{2}{7}[/tex]
you will need to buy [tex]7\frac{2}{7}\\[/tex] sections of fence
A cube has an edge of length c.
If the length of each edge were
multiplied by 2/3, what would the volume of the cube be?
Answers
The volume of the cube given the length of each edge is 8/27 units³.
What is the volume of the cube?A cube is a three-sided object that has six faces, eight vertices and twelve edges. The six faces of a cube have the shape of a square. Thus, the length, width and height of a cube have the same dimensions. The angle between any two face in a cube measures 90 degrees. A cube is also known as a regular hexahedron.
A cube is one of the five platonic solids. A platonic solid is a solids that are made up of equivalent faces that are made up of congruent convex regular polygons.
Given the length of each edge of a cube, the volume can be determined by multiplying the given length edge by itself three times. Or by find the cube of the given length edge.
Volume of the cube = length edge³
2/3³ = 8/27 units³
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A group of 50 students were asked about their favorite color. Here are the results:
Red: 15 Blue: 11 Purple: 7 Yellow: 8 Pink: 6 Green: 3
Which of the following visual displays is most appropriate for this data?
Box plot
Histogram
Stem plot
Dot plot
Pie Chart
Answers
the ratio of 25cm to 3m
what is the ratio
Answers
First change m to cm
1m = 100cm
3m = 300cm
25cm to 300cm
1cm to 12cm
HELP QUICK!!!!!
The value of A is
.
The value of B is
.
Answers
Value A: 10 because 1.25 x 8 = 10
Value B: 35 because 1.25 x 28 = 35
38) State the slope of a line parallel to 3x - 5y = 25
Answers
Answer: y= 3/5x-5
slope is 3/5
Step-by-step explanation:
Step-by-step explanation: I hope this helps.
Answer:
Point I is on line segment HJ. Given HI = x, HJ = 3x - 9, and
IJ = x + 5, determine the numerical length of HJ.
Answer: HJ =
Answers
The numerical length of HJ is 33
The given parameters;
distance of HI = x
distance of HJ = 3x - 9
distance of IJ = x + 5
To find:
the numerical length of HJ
A sketch of the positions of the line segments is shown below;
|<-----x------->|<--------------------------x+5------------------------------>|
H---------------I----------------------------------------------------------------J
The value of x will be calculated by setting up the following equation;
HI + IJ = HJ
x + x + 5 = 3x - 9
2x + 5 = 3x - 9
collect similar terms together;
2x - 3x = -9-5
-x = -14
x = 14
The numerical length of HJ is calculated as;
HJ = 3(14) - 9
HJ = 42 - 9
HJ = 33
Thus, the numerical length of HJ is 33
A line segment is a section of a line with two ends and a fixed length. It differs from a line that has no beginning or end point and can be stretched in both directions.
The length of a number in base is the number of digits in the base-number for, as determined by the formula. The multiplicative persistence of an. digit is also known as its length.
A line segment in geometry is defined as two different points on a line. A line segment is a section of a line that links two points. A line has no endpoints and stretches in both directions indefinitely, but a line segment has two fixed or definite endpoints.
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