Answers
Answer:
2
Step-by-step explanation:
Multiply 4 times 1/2
If you need to find the derivative the answer is 2^-1/2
Related Questions
Keith has a credit card balance of $732. he cannot pay the whole amount due, so he pays the minimum of $75. after the minimum amount has been deducted from the $732 balance, he is charged 1.2% (or .012) fee. what will his balance be next month if he doesn't make any additional charges? if necessary, round your answer to 2 decimal places.
Answers
Keith credit card balance by next month is $664.88 if he doesn't make any additional charges
Information about the problem:
Total balance = $732Minimum paid = $75Charge fee = 1.2%Final balance =?Calculating the amount he could not pay, we have:
Amount to pay= Total balance - minimum paid
Amount to pay= $732 - $75
Amount to pay= $657
Calculating the final balance he will pay:
Final balance = Amount to pay + (amount to pay * Charge fee/100)
Final balance = $657 + ($657 * 1.2/100)
Final balance = $657 + ($657 * 0.012)
Final balance = $657 + ($7.884)
Final balance = $664.88
What is a percentage?Percentage is defined as the number that represents a ratio of a total that is divided by 100 equal parts. It is represented by the symbol %.
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4. Juan has 28 paperback books that measure
re 1 1/4 inches each, how many books will fit on one
shelf if each shelf measures 30 inches?
Answers
Answer:
24 books can fit on 1 shelf.
Step-by-step explanation:
Question: Juan has 28 paperback books that measure 1 and 1/4 inches each. How many books will fit on one shelf if each shelf measures 30 inches?
Step-by-step:
We know that each book is 1 and 1/4 inches each. It might be easier to convert the fraction into a decimal.
1/4 inches is 1 divided by 4 which equals to 0.25 inches
1 inch + 0.25 inches = 1.25 inches
so, 1 and 1/4 inches = 1.25 inches
To find out how many books fit on a shelf, we need to find: length of 1 bookshelf divided by length of 1 book
We know that one bookshelf is 30 inches and 1 book is 1.25 inches
so, 30/1.25 or 30 divided by 1.25 = 24
Therefore, 24 books can fit on 1 shelf.
What is the next fraction in this sequence?Simplify your answer.
1/2, 4/7, 9/14, 5/7,....
Answers
Answer:
Step-by-step explanation:
[tex]\displaystyle\\\frac{1}{2},\ \ \frac{4}{7},\ \ \frac{9}{14},\ \ \frac{5}{7} ,\ \ ... \\\\\frac{1*7}{2*7} ,\ \ \frac{4*2}{7*2} ,\ \ \frac{9}{14}, \ \ \frac{5*2}{7*2} ,\ \ ...\\\\\frac{7}{14},\ \ \frac{8}{14} , \ \ \frac{9}{14},\ \ \frac{10}{14},\ \ \frac{11}{14},\ \ ...,\ \ \frac{6+n}{14} , \ \ n=1,\ 2,\ 3,\ ...[/tex]
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Answers
Answer:
[tex]\frac{4}{5}[/tex]
Step-by-step explanation:
On wednesday, a local hamburger shop sold a combined total of hamburgers and cheeseburgers. the number of cheeseburgers sold was three times the number of hamburgers sold. how many hamburgers were sold on wednesday?
Answers
The number of hamburgers sold on Wednesday is 141 and the number of cheeseburgers sold on Wednesday is 423
Although a part of your question is missing, you might be referring to this full question: On Wednesday, a local hamburger shop sold a combined total of 564 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Wednesday?
Total number of burgers sold on Wednesday = 564
Let the number of hamburgers sold on Wednesday be x
Let the number of cheeseburgers sold on Wednesday be y
Formulating the equation we get:
x + y = 564-----(1)
It is also given that, the number of cheeseburgers sold was three times the number of hamburgers. So,
y = 3x
Substituting y = 3x in equation (1) we get
x + 3x =564
4x = 564
x = 141
Putting x = 141 in equation (1) we get
y = 423
So, the number of hamburgers sold is 141 and the number of cheeseburgers sold is 423
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a whole number larger than 2 leaves a remainder of 2 when divided by each of the numbers 3, 4, 5 and 6.
Answers
A whole number larger than 2 leaves a remainder of 2 when divided by each of the numbers 3, 4, 5, and 6 is 62.
What are whole numbers?Whole numbers are numbers without fractions and consist of positive integers and zero. It is represented by the symbol "W," and the numbers are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,...............Zero in its entirety represents nothing or a null value.To find the whole number:
LCM of 3, 4, 5, and 6 = 3 × 2 × 2 × 5 = 60Add the remainder 2 in 60: 60 + 2 = 62So, the whole number is 62.Therefore, a whole number larger than 2 leaves a remainder of 2 when divided by each of the numbers 3, 4, 5, and 6 is 62.
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Please help with work/explanation thank you
Answers
Answer: y = xw/v
Step-by-step explanation:
v = ( 1/y )*xw
⇒ y = xw/v
Help needed! This shouldn't be too difficult...
Answers
Answer:
2.62 x 10^16
Step-by-step explanation:
Step-by-step explanation:
Let look at the numerator:
(3.1 x 10^6)(6.97 x 10^4)
= (3.1 x 6.97) x 10^(6+4)
= 21.607 x 10^10
So 21.607 x 10^10
_______________
8.245 x 10^-6
= (21.607/8.245) x 10^(10 - -6)
= 2.62 x 10^(10 + 6)
= 2.62 x 10^16
I hope this helps
Answer:2.62061855 x 10^16
Step-by-step explanation:
marcy drew a scale drawing of a petting zoo. the goat pen, which is 9 meters wide in real life, is 15 centimeters wide in the drawing. what is the scale of the drawing?
Answers
Answer:
1 cm = 0.6 m.
Step-by-step explanation:
15 cm to 9 meters
= 15 cm to 900 cm
so 1cm = 900/15 cm
1cm = 60cm
1 cm = 0.6 m.
M is the midpoint of segment JK. The coordinate of J are (-4, 7) and the coordinates of M are (2, 5). Find the coordinates of K.
Answers
The coordinates of K are (8,3).
There is a line segment JK with M as its midpoint. This means the length of JM = length of MK.
Also the coordinates of J is (-4,7) and the coordinates for M are (2,5).
As M is the midpoint, the x-distance and y-distance between (-4,7) and (2,5) are same as that between (2,5) and K.
x- distance between (-4,7) and (2,5) = 2- (-4) = 6
So x- coordinate of K = 2+6 = 8
y-distance between (-4,7) and (2,5) = 5-7 = -2
So y-coordinate of K = 5+(-2) = 3
Hence the coordinates of K are (8,3).
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PLEASE ANSWER,,,, 30 POINTS,,,, BRAINLYIEST !!!! ||||||||||||| The dot plot below shows the number of different types of trees in Seth's garden:
A straight line is shown with 4 equidistant marks. The first mark is labeled Redbud, the second mark is labeled Magnolia, the third mark is labeled Snowbell, and the fourth mark is labeled Maple. The first mark has 1 dot, the second mark has 5 dots, the third mark has 2 dots, and the fourth mark has 3 dots. Below the line is written Number of Trees
Which table shows the data displayed in the dot plot?
A). Garden Trees Number
Redbud 0
Magnolia 4
Snowbell 1
Maple 2
B). Garden Trees Number
Redbud 1
Magnolia 5
Snowbell 2
Maple 3
C). Garden Trees Number
Redbud 1
Magnolia 6
Snowbell 7
Maple 10
D). Garden Trees Number
Redbud 3
Magnolia 2
Snowbell 5
Maple 1
Answers
Answer: B
Step-by-step explanation:
Only makes sense its the same as the question I might be wrong
Write in point slope form an equation of the line through the pair of points.
(9,8) and (6,1)
________________________________________________
What is an equation of the line in point-slope form? Show your work.
A.) y - 8 = -7/3(x - 9)
B.) x - 8 = 7/3(y - 9)
C.) y = -7/3x - 13
D.) y - 8 = 7/3(x-9)
Answers
Answer:
d) y - 8 = 7/3(x - 9)
Explanation:
[tex]\sf point-slope\:form :[/tex]
[tex]\sf y - y_1 = m(x - x_1) \ \ where \ (x_1, y_1), \ (x_2, y_2) \ are \ points \ and \ m \ the \ slope[/tex]
Find the slope:
[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]
[tex]\sf \rightarrow slope\ (m) : \dfrac{1-8}{6-9} = \dfrac{-7}{-3} = \dfrac{7}{3}[/tex]
Find the equation:
in point slope form:
[tex]\sf y - 8 = \dfrac{7}{3} (x - 9)[/tex]
[tex]\sf y = \dfrac{7}{3} x - 21+8[/tex]
in slope intercept form
[tex]\sf y = \dfrac{7}{3} x -13[/tex]
Draw a scaled copy of this polygon that has a perimeter of 30 units. what is the scale factor? explain how you know. help please
Answers
The scale factor is 3.
calculate scalar factor for given data?[tex]scale factor =\frac{scaled\ measure}{actual\ measure}[/tex]
∵ If sides of a polygon are changed by a scale factor 'a' then its perimeter is also changed by the same scale factor,
[tex]scale factor =\frac{scaled\ perimeter}{actual\ perimeter}[/tex]
The actual perimeter of the polygon = 10 unit,
Also, the scaled perimeter = 30 units
Hence,
[tex]scaled factor = \frac{30}{10} =3[/tex]
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What is the inequality that matches the graph?
Answers
Answer:
x ≥ 1
Step-by-step explanation:
The number line shows that the dot is closed which means that the number it is on, is one of the solutions that works for the inequality. So x stands for/means that any number greater than 1 or equal to 1 is a solution.
Your friend and your cousin discuss measuring with a ruler. Your friend says that you must always line up objects at the zero on a ruler. Your cousin says it does not matter. Who is correct, and why?
friend; A measurement always starts with a value of zero.
friend; A ruler does not match numbers one to one unless the measurement starts at zero.
cousin; you can choose any number for the start of the object and any number for the end.
cousin; The distance is the absolute value of the difference of the numbers lined up with the beginning and the end of the object.
Answers
The correct option is the last one:
"Cousin; The distance is the absolute value of the difference of the numbers lined up with the beginning and the end of the object."
Who is correct, your friend or your cousin?
Now, remember that a rule is equivalent to a number line.
Now, suppose that you are measuring an element with a length of 16 centimeters.
If you measure it by lining up one of the ends of the element with the zero, then the other end will be at the line number 16.
And if you line it up from a different number, let's say 3cm, then the other end of the object (which still measures 16cm) will be at 19cm.
In both cases, to find the measure of the object that you are measuring with the ruler, you need to find the difference between the two numbers on the ruler that line up with the object ends.
If you line up with the zero, you need to subtract zero, so the measure is easier:
16cm - 0cm = 16cm
If you line up with other number, like the 3 in this case, you need to perform the subtraction:
19cm - 3cm = 16cm
In both cases, we will get the same measure. So your cousin is correct, and the correct option is the last one:
Cousin; The distance is the absolute value of the difference of the numbers lined up with the beginning and the end of the object.
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Which pattern below shows an arithmetic sequence with a third term of 8 and a constant difference of 5?
Answers
Answer:
Step-by-step explanation:
A car valued at $20,000 depreciates at a rateof 2% during the first 5 years, then at a rateof 2.5% every year after that. What will thecar’s value be after 10 years?)
Answers
Answer:
$15928.81
Step-by-step explanation:
hope this works
2000 x (0.98)^5 = ans
ans x (0.975)^5 = 15928.81442 which rounds to $15928.81
in a chemistry class, 8 liters of a 4% acid solution must be mixed with a 10% acid solution to get a 6% acid solution. how many liters of the 10% acid solution are needed?
Answers
There are 4 liters of solution are needed for the 10% acid solution.
Unitary method:
Unitary method is the way to find the value of a single unit and then multiply the value of a single unit to the number of units to get the necessary value.
Given,
In a chemistry class, 8 liters of a 4% acid solution must be mixed with a 10% acid solution to get a 6% acid solution.
Here we need to find how many liters of the 10% acid solution are needed.
First, we have to convert the percentage into decimal,
4% = 4/100 = 0.04
10% = 10/100 = 0.10
6% = 6/100 = 0.06
Let x be the required liter of solution.
So, based in the given details,
We have to write the equation as,
=> 0.04*8 + 0.10x = 0.06(8+x)
=> 0.32 + 0.10x = 0.48 + 0.06x
=> 0.10x - 0.06x = 0.48 - 0.32
=> 0.04x = 0.16
=> x = 0.16/0.04
=> x = 4
x = 4 liters of 10% solution is used.
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Write 7 times 100,000 + 6times 10,000+ 2times 1,000+ 5 times 100 + 8 times 1 in standered form
Answers
=
700,000+ 60,000 + 2,000 + 500 + 8
=
762508
=
7.62508 x 10^5
For the function h defined as h(x) = nx² + 28, n is a constant and h(3) = 1. What is the value of h(-6) ?
Answers
Answer:
Step-by-step explanation:
Step One
The first step is to find the value of n.
h(x) = n(x) + 28
h(3) = 1
That means that 1 is on the left and wherever there is an x on the right, it will have a value of 3
Step Two
Substitute values
1 = n(3) + 28
Step 3
Solve
1 = 3*n + 28 Subtract 28 from both sides
1 + - 28 = 3n Combine
-27 = 3n Divide both sides by 3
-27/3 = 3n/3
- 9 = n
Step 4
Let x = - 6 on the right side of the original equation.
h(-6) = 3*-6 + 28
h(-6) = -18 + 28
Answer
h(-6) = 10
Solve x in terms of y
Y=6x
Answers
Answer:
Y/6 = x
Step-by-step explanation:
Y = 6x
Y/6 = x
An uncle wills $3000 to his two nieces and one nephew. The older niece is to receive twice what the younger niece receives, and the nephew is to receive an amount equal to the sum of the nieces' amounts. How much will each person receive?
Answers
Answer:
See Explanation
Step-by-step explanation:
So, the uncle has $3000.
The Oldest Niece gets double what the Younger Niece gets half her amount. The nephew gets the total of these 2 combined.
The Youngest Niece gets $500.
500x2=1000
The Oldest Niece gets $1000.
1000+500=1500
The Nephew gets $1500.
1500+1000+500=3000
If someone leave a 20% tip and the meal is 35$how much was the tip
Answers
Answer:
$7
Step-by-step explanation:
Since 100/20 = 5, 20% is 1/5, so 20% of 35 is 35/5, or 7
Answer:
If someone leave a 20% tip and the meal is 35$how much was the tip :
$35.00 ÷ 20% = $7.00
Question Progress
Homework Progress
24 / 63 Marks
a) Work out the value of (15)*× (√3)?
x
b) Work out the value of (19) × (√30) ?
x
1 14
豐
54%
Answers
Answer:
(a) 15
(b) 270
Step-by-step explanation:
Part (a)Given expression:
[tex]\left(\sqrt{5}\right)^2 \times \left(\sqrt{3}\right)^2[/tex]
[tex]\textsf{Apply the exponent rule}:\quad \left(\sqrt[n]{a}\right)^n=a,\quad \textsf{$n$ is odd or $a \geq 0$}[/tex]
[tex]\implies 5 \times 3[/tex]
Multiply the numbers:
[tex]\implies 15[/tex]
Part (b)Given expression:
[tex]\left(\sqrt[3]{9} \right)^3 \times \left(\sqrt{30}\right)^2[/tex]
[tex]\textsf{Apply the exponent rule}:\quad \left(\sqrt[n]{a}\right)^n=a,\quad \textsf{$n$ is odd or $a \geq 0$}[/tex]
[tex]\implies 9 \times 30[/tex]
Multiply the numbers:
[tex]\implies 270[/tex]
Now we have to,
→ work out the value for the following.
We know that,
→ square ( ²) and square root (√) gets cancelled each other.
→ cube ( ³) and cube root (³√) gets cancelled each other.
a) (√5)² × (√3)² = ?
→ (√5)² × (√3)²
→ 5 × 3 = 15
Thus, the answer is 15.
b) (³√9)³ × (√30)² = ?
→ (³√9)³ × (√30)²
→ 9 × 30 = 270
Thus, the answer is 270.
the product of 5 minus 6 has a result of 24
Answers
The expression for the phrase is 5 * (x - 6) = 24
How to write an expression for the phrase?The phrase is given as:
the product of 5 minus 6 has a result of 24
Products means *
So, we have
5 * (x minus 6) has a result of 24
x minus 6 means x - 6
So, we have
5 * (x - 6) has a result of 24
has a result of 24 means = 24
So, we have
5 * (x - 6) = 24
Hence, the expression for the phrase is 5 * (x - 6) = 24
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entering 60.00 into the price field entering 3.00 into the price of leather field entering 38.00 into the price of sneakers field
Answers
The required total of price area, leather field, and sneakers field is evaluated with the help of arithmetic operations as 102.
Given that,
Joining 60.00 into the price, area joining 3.00 into the price of the leather field entering 38.00 into the price of sneakers field,
The sum of the components is to be determined.
In mathematics, it deals with a number of procedures according to the statements. There are four primary arithmetic operators, addition, subtraction, multiplication, and division,
Here,
Joining 60.00 into the price area,
Joining 3.00 into the price of the leather field.
entering 38.00 into the price of sneakers field,
The sum = 60.00 + 3.00 + 38.00
The sum = 102
Thus, the required total of entries is evaluated with the help of arithmetic operations as 102.
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Order the square root of 70, negative 8.2 repeating, twenty five thirds, and negative eight and four sevenths from least to greatest.
negative eight and four sevenths, negative 8.2 repeating, square root of 70, twenty five thirds
negative eight and four sevenths, negative 8.2 repeating, twenty five thirds, square root of 70
negative 8.2 repeating, negative eight and four sevenths, twenty five thirds, square root of 70
negative 8.2 repeating, negative eight and four sevenths, square root of 70, twenty five thirds
Answers
The order from least to greatest is -8.222 <-7.43 < 8.333 < 8.366
The numbers given are:
The square root of 70 =√70 = 8.366
Negative 8.2 repeating = -8.222
Twenty five thirds = 25/3 = 8.333
Negative eight and Four sevenths = -8 and 4/7 = (-52)/7 = -7.43
So from least to greatest,
-8.222 <-7.43 < 8.333 < 8.366
That is, Negative 8.2 repeating < Negative eight and Four sevenths < Twenty five thirds < The square root of 70
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What method can be used to write the equation of a line in slope-intercept form given two points? Find the slope using the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction, and then substitute one point and the slope into the equation y = m x + b to find the y-intercept. Find the slope using the formula m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction, and then substitute one point and the slope into the equation y = m x + b to find the y-intercept. Find the y-intercept using the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction, and then substitute one point and the y-intercept into the equation y = m x + b to find the slope. Find the y-intercept using the formula m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction, and then substitute one point and the y-intercept into the equation y = m x + b to find the slop
Answers
The method that can be used to write the equation of a line in slope-intercept form given two points is A. Find the slope using the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction, and then substitute one point and the slope into the equation y = m x + b to find the y-intercept.
How to illustrate the information?It should be noted that the equation of line passing through two point = y = mx + b.
Also, b can find out via putting values of x, y, and m in the equation of the line to get y-intercept.
In this case, the slope of the line will be y2 - y1/x2 - x1.
In conclusion, the correct option is A.
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a hot cup of tea is placed on a counter and left to cool. the temperature of the tea, in degrees fahrenheit (correct to the nearest degree), x minutes after the cup is placed on the counter is modeled by a continuous function t(x) for 0
Answers
Since T is continuous for [tex]0\leq x \le 10[/tex], [tex]\lim_{x \to 4} T(x)=T(4)[/tex] From the table:
[tex]\lim_{x \to 4} T(x)=172^{0}[/tex]
By continuous function, what do you mean?A continuous function in mathematics is one that causes the value of the function to continuously vary as the input changes over time. This indicates that there aren't any discontinuities or sudden changes in value. In other words, a function is continuous if and only if its graph is devoid of any gaps or breaks. It is simple to predict where it won't be continuous for many functions. Where we have operations like division by zero or logarithms of zero, functions won't be continuous. Examples of continuous functions over the set of all real numbers are polynomial functions, exponential functions, and the sin and cosine graphs.
For the final answer the table is to be checked and all the values are written.
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How to find the gradient of the straight lines? I don’t want direct answer, I want explanation please. I’m confused how can I find the x and y axis
Answers
Answer:
Question 27
[tex]\textsf{(a)} \quad -\dfrac{6}{5}[/tex]
[tex]\textsf{(b)} \quad \dfrac{1}{10}[/tex]
[tex]\textsf{(c)} \quad \dfrac{4}{5}[/tex]
Question 28
[tex]\textsf{(a)} \quad \dfrac{6}{0}=\textsf{und\:\!efined}=\textsf{no gradient}[/tex]
[tex]\textsf{(b)} \quad -\dfrac{3}{10}[/tex]
[tex]\textsf{(c)} \quad \dfrac{3}{10}[/tex]
Step-by-step explanation:
The gradient of a straight line can be found by dividing the difference in the y-coordinates by the difference in the x-coordinates between two points on the line.
A positive gradient slopes up from left to right.
A negative gradient slopes down from left to right.
[tex]\boxed{\begin{minipage}{4.3cm}\underline{Gradient Formula}\\\\$m=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ \\are two points on the line.\end{minipage}}[/tex]
We can use the formula to find the gradients, or we can simply calculate the change in y and change in x by looking at the graph.
Example:
If we take line (a) from question 27 as an example.
The change in y from the beginning to the end of the line is 6 units.The change in x from the beginning to the end of the line is 5 units.The line slopes down, so the gradient is negative.Therefore, the gradient is -6/5.
Using the gradient formula, define two points on the line:
Let (x₁, y₁) = (0, 6)Let (x₂, y₂) = (5, 0)Input the points into the formula:
[tex]\textsf{Gradient}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-6}{5-0}=-\dfrac{6}{5}[/tex]
Solutions
Question 27
(a) The gradient is -6/5, as calculated above.
(b) The change in y is 1 unit and the change in x is 10 units. The line slopes up so the gradient is positive. Therefore, the gradient is 1/10.
(c) The change in y is 4 units and the change in x is 5 units. The line slopes up so the gradient is positive. Therefore, the gradient is 4/5.
Question 28
(a) The change in y is 6 units and the change in x is 0 units. Therefore, the gradient is undefined since anything divided by 0 is undefined. Therefore, this line has no gradient.
(b) The change in y is 3 units and the change in x is 10 units. The line slopes down so the gradient is negative. Therefore, the gradient is -3/10.
(c) The change in y is 3 units and the change in x is 10 units. The line slopes up so the gradient is positive. Therefore, the gradient is 3/10.
Attachment
I have marked the change in y (green) and the change in x (blue) for line (c) on both graphs.