Answer:4
4 What percentage of students got a 100% on their math quiz? Round to the nearest whole percent?
Step-by-stepStep-by-stepStep-by-step explanation: 4 What percentage of students got a 100% on their math quiz? Round to the nearest whole percent?
please someone help me with this please.
here is the picture
1. The domain for which function is one-to-one and non-decreasing [3, ∞).
2. The inverse function in the domain g(x) = √x + 3
How to calculate domain in which f is one-to-one and non-decreasing ?To find a domain on which f is one-to-one and non-decreasing, we need to ensure that the function is increasing or non-decreasing (i.e., it is always moving in the positive x direction) and that each value of x maps to a unique value of f(x). A function is one-to-one if it passes the horizontal line test, meaning that every horizontal line intersects the graph at most once.
1. The function f(x) = (x-3)² has a minimum value of zero at x=3, and is increasing on the interval (-∞, 3) and (3, ∞).
Therefore, the domain on which f is one-to-one and non-decreasing is [3, ∞).
2. To find the inverse of f restricted to this domain, we can first solve for x in terms of f(x):
f(x) = (x-3)²
√f(x) = x-3 (we take the positive square root since we're restricted to the non-negative range of f(x))
x = √f(x) + 3
Now we can define the inverse function g(x) as:
g(x) = √x + 3, where x is in the range [0, ∞).
Note that we have restricted the range of g(x) to [0, ∞) since the function f(x) is non-negative for all values of x, and therefore the inverse function must also be non-negative.
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Right? Pls reply ASAP i need this before 11:45am in need pls hurry
Answer:
I think so.
Step-by-step explanation:
If you do the math 2(5-3) exponent 2 - 4 = 4
So if y is 4 you should be correct!
Thb I think you need to know the value of y to solve this question.
What is (f–g)(x)? f(x)= – 5x+3 g(x)=x2–4x+4 Write your answer as a polynomial or a rational function in simplest form.
Answer:
7x-4
Step-by-step explanation:
That is the answer
Answer:
I trying to solve this sorry
Determine which of the lines are parallel and which of the lines are perpendicular. Select all of the statements that are true.
Line a passes through (-1, -17) and (3, 11).
Line b passes through (0,4) and (7,-5).
Line c passes through (7, 1) and (0, 2).
Line d passes through (-1,-6) and (1, 8).
Answers:
Line A is parallel to line D.
Line A is perpendicular to line C.
Line C is perpendicular to line D.
=====================================================
Explanation:
Let's use the slope formula to calculate the slope of the line through (-1,-17) and (3,11)
\((x_1,y_1) = (-1,-17) \text{ and } (x_2,y_2) = (3,11)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{11 - (-17)}{3 - (-1)}\\\\m = \frac{11 + 17}{3 + 1}\\\\m = \frac{28}{4}\\\\m = 7\\\\\)
The slope of line A is 7
-------------
Now let's find the slope of line B.
\((x_1,y_1) = (0,4) \text{ and } (x_2,y_2) = (7,-5)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{-5 - 4}{7 - 0}\\\\m = -\frac{9}{7}\\\\\)
-------------
Now onto line C.
\((x_1,y_1) = (7,1) \text{ and } (x_2,y_2) = (0,2)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{2 - 1}{0 - 7}\\\\m = \frac{1}{-7}\\\\m = -\frac{1}{7}\\\\\)
-------------
Lastly we have line D.
\((x_1,y_1) = (-1,-6) \text{ and } (x_2,y_2) = (1,8)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{8 - (-6)}{1 - (-1)}\\\\m = \frac{8 + 6}{1 + 1}\\\\m = \frac{14}{2}\\\\m = 7\\\\\)
------------------------------
Here's a summary of the slopes we found
\(\begin{array}{|c|c|} \cline{1-2}\text{Line} & \text{Slope}\\\cline{1-2}\text{A} & 7\\\cline{1-2}\text{B} & -9/7\\\cline{1-2}\text{C} & -1/7\\\cline{1-2}\text{D} & 7\\\cline{1-2}\end{array}\)
Recall that parallel lines have equal slopes, but different y intercepts. This fact makes Line A parallel to line D.
Lines A and C are perpendicular to one another, because the slopes 7 and -1/7 multiply to -1. In other words, -1/7 is the negative reciprocal of 7, and vice versa. These two lines form a 90 degree angle.
Lines C and D are perpendicular for the same reasoning as the previous paragraph.
Line B unfortunately is neither parallel nor perpendicular to any of the other lines mentioned.
You can use a graphing tool like Desmos or GeoGebra to verify these answers.
Write equivalent fractions for 2 2/3 and 2 1/4 using a common denominator please hurry
The equivalent fractions for the mixed numbers, with the same denominator, are given as follows:
32/12 and 27/12.
How to obtain the equivalent fractions?The mixed numbers in the context of this problem are given as follows:
2 and 2/3.2 and 1/4.The fractions that represent each number are given as follows:
2 + 2/3 = 6/3 + 2/3 = 8/3.2 + 1/4 = 8/4 + 1/4 = 9/4.The least common factor of 3 and 4 is given as follows:
3 x 4 = 12.
Hence the equivalent fractions are given as follows:
12/3 x 8 = 32/12.12/4 x 9 = 27/12.More can be learned about equivalent fractions at https://brainly.com/question/17220365
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Trigonometry in baseball Identify a major league ballpark in which the distance from home plate to the center field fence and the height of the center field fence require that a ball hit 2ft above the ground will necessitate an angle of elevation less than to just clear the center field fence.
Given:
A height of 2ft above the ground
Required:
The distance from the home plate to the centerfield
Explanation:
A height of 2ft above the ground and angle of elevation of 86 degree.
Assuming that the form of our problem is a right angle triangle, we can solve for the remaining angle:
180-(90+86)=4 degrees
The distance from the home plate to the centerfield is
\(\frac{2}{sin4}=\frac{x}{sin86}\)Final answer:
x=26.6ft
What is the value of (-3)-4?
Answer:
-7
Step-by-step explanation:
-3-4=-7
:]
Answer:
-7
Step-by-step explanation:
The length of a rectangle is twice its width. Find its lenght and width, if its perimeter is 7 1/3 cm.
The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.
Let's assume the width of the rectangle is "b" cm.
According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.
The formula for the perimeter of a rectangle is given by:
Perimeter = 2 * (length + width)
Substituting the given perimeter value, we have:
7 1/3 cm = 2 * (2b + b)
To simplify the calculation, let's convert 7 1/3 to an improper fraction:
7 1/3 = (3*7 + 1)/3 = 22/3
Rewriting the equation:
22/3 = 2 * (3b)
Simplifying further:
22/3 = 6b
To solve for "b," we can divide both sides by 6:
b = (22/3) / 6 = 22/18 = 11/9 cm
Therefore, the width of the rectangle is 11/9 cm.
To find the length, we can substitute the width back into the equation:
Length = 2b = 2 * (11/9) = 22/9 cm
So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.
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Find the length of the third side. If necessary, write in simplest radical form.
2√34, 6
The length of the third side is 2√34 + 6.
We can use the triangle inequality theorem to solve this problem. According to the theorem, the sum of any two sides of a triangle must be greater than the length of the third side.
Let x be the length of the third side. Then we have:
2√34 + 6 > x
Subtracting 6 from both sides, we get:
2√34 > x - 6
Adding 6 to both sides, we get:
x < 2√34 + 6
Therefore, the length of the third side must be less than 2√34 + 6.
To find the exact length of the third side, we need to check if the triangle inequality is satisfied for an equality. In other words, we need to check if:
2√34 + 6 = x
If this is true, then the given sides can form a triangle.
Simplifying the equation, we get:
x = 2√34 + 6
The exact length is 2√34 + 6 if the triangle inequality is satisfied for an equality.
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Which of the following shows these terms in standard form? *
x² + 5x²³ - 4 - 2x
5x² - 2x + x² - 4
O Option 1
5x³ - 4 - 2x + x²
O Option 3
-4 - 2x + x² + 5x³
O Option 2
5x³ + x² - 2x - 4
O Option 4
The option that shows the terms are written in standard form is: 5x³ + x² - 2x - 4.
What is the Standard Form of a Polynomial?The standard form of a polynomial is expressed in a specific way of where the terms in the polynomial are written in descending order of degree and the coefficients are written as integers, such as:
\(f(x) = a_nx^n + a_{n-1}x^{n-1} + ... + a_2x^2 + a_1x + a_0\)
where we have:
n = non-negative integer,
\(a_n, a_{n-1},..., a_2, a_1,\) = constants
x = variable.
A polynomial expression is written in standard form by arranging the terms in descending order of degree of the variable x, and also write the coefficients as integers.
Therefore, the correct answer is: 5x³ + x² - 2x - 4
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A cylindrical pottery vase has a diameter of 4.3 inches and a height of 11 inches. What is the surface area of the vase? Use the formula SA = B + Ph, since the vase has a bottom but no top. Use 3.14 for π
and round to the nearest tenth of a square inch.
The surface area of the cylindrical pottery vase is 177.55 in².
Given that a cylindrical pottery vase has a diameter of 4.3 inches and a height of 11 inches, we need to find the surface area of the vase,
SA of a cylinder = 2π×radius(h+r)
= 2×3.14×2.15(2.15+11)
= 177.55 in²
Hence, the surface area of the cylindrical pottery vase is 177.55 in².
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PLEASE ANSWER AS SOON AS YOU CAN I WILL MARK BRAINLY
Answer:
it is A (9,7)
Step-by-step explanation:
it is moving up 5 units so that means that the 4 in (4,7) is a y so on the y- axis it will go up 5 so 4 plus 5 is 9 and the X stays the same which is 7
Seja a função real dada por f(x)=4x-9. Calcule f(6) - f(5). ( ) 4 ( ) 1 ( ) 2 ( ) -4 ( ) -1
Answer:
4
Step-by-step explanation:
A função em questão, f(x), é:
\(f(x)=4x-9\)
Primeiramente calcule os valores das funções para x=5 e x=6:
\(f(5)=4*5-9\\f(5)=11\\f(6)=4*6-9\\f(6)=15\)
Em seguida, subtraia f(5) de f(6):
\(f(6)-f(5) = 15-11\\f(6)-f(5) = 4\)
A resposta para o problema é 4
5/8p−3/4=4
A) p=95/32
B) p=26/5
C) p=38/5
\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{\frac{5}{8}p-\frac{3}{4}=4 } \end{gathered}$}}\)
Add 3/4 to both sides.
\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{\frac{5}{8}p=4+\frac{3}{4} } \end{gathered}$}}\)
Convert 4 to the fraction 16/4.
\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{\frac{5}{8}p=\frac{16}{4} +\frac{3}{4} } \end{gathered}$}}\)
Since 16/4 and 3/4 have the same denominator, add their numerators to add them together.
\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{\frac{5}{8}p=\frac{16+3}{4} \longmapsto \ \ Add } \end{gathered}$}}\)
\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{\frac{5}{8}p=\frac{19}{4} } \end{gathered}$}}\)
Multiply both sides by 8/5, the reciprocal of 5/8.
\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{p=\frac{19}{4}\times\left(\frac{5}{8}\right) } \end{gathered}$} }\)
Multiply 19/4 by 8/5 (to do this, multiply the numerator by the numerator and the denominator by the denominator).
\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{p=\frac{19\times8}{4\times5 }\longmapsto \ Multiply } \end{gathered}$}}\)
\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{p=\frac{152}{20} } \end{gathered}$}}\)
We reduce the fraction 152/20 to its minimum expression by extracting and canceling 4.
\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{p=\frac{152}{20} \ \ \longmapsto \ p=\frac{152\div4}{20\div4}=\frac{38}{5} } \end{gathered}$}}\)
Therefore, the answer is option C.Please help me with this please!!
Answer:
D
Step-by-step explanation:
PLZ HURRY! WILL GIVE BRAINILEST TO FIRST CORRECT ANSWER!!!!!!!!
THANK YOU IF U HELPPP.
Simplify using order of operations. Show all of your work and do ONE operation at a time to receive all possible points.
90÷[10+(32−4)]
Answer:
2.36
Step-by-step explanation:
order of operations : pemdas
parenthesis, exponents
multiplication, division
addition, substraction
first parenthesis, so
(32-4) = 28
parenthesis again
[10+28] = 38
now you have
90/38 = 45/19 = 2.36
The simplified result of the expression 90÷[10+(32−4)] is approximately (2.36842105).To simplify the expression 90 ÷ [10 + (32 - 4)] using the order of operations (PEMDAS/BODMAS), we follow these steps one at a time:
Step 1: Perform the operations inside the innermost parentheses.
(32 - 4 = 28)
Now the expression becomes: (90 ÷ [10 + 28])
Step 2: Perform the addition inside the brackets. (10 + 28 = 38)
Now the expression becomes: \(90 ÷ 38\)
Step 3: Finally, perform the division.
(90 ÷ 38 ≈ 2.36842105) (rounded to 8 decimal places)
So, the simplified result of the expression is approximately (2.36842105).
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A triangle has an area of 900m2 . If a parallelogram has the same height and base as the triangle, what is the area of the parallelogram?
Answer:
1800 \(m^{2}\) is the area of parallelogram.
Step-by-step explanation:
Given that:
Area of a triangle = 900 \(m^{2}\)
To find:
Area of a parallelogram which has same height and base as that of the given triangle.
Solution:
First of all, let us have a look at the formula for Area of a parallelogram:
\(Area_{Par} = Base \times Height\) ...... (1)
So as to find the area of a parallelogram, we need to have the product of Base and Height of Parallelogram.
Now, let us have a look at the formula for area of a triangle:
\(Area_{Tri} = \dfrac{1}{2} \times Base \times Height\)
Given that height and base of triangle and parallelogram are equal to each other.
So,the product of base and height will also be equal to each other.
\(900 = \dfrac{1}{2} \times Base \times Height\\\Rightarrow Base \times Height = 2 \times 900\\\Rightarrow Base \times Height = 1800\ m^2\)
By equation (1):
Area of parallelogram = 1800 \(m^{2}\)
A jockey will ride horses in 10 different races at a race track today. The number of races that the jockey will win is what type of random variable
Answer:
X is a discrete Random variable where X is the number of races Jockey can win.
Step-by-step explanation:
To find - A jockey will ride horses in 10 different races at a race track today.
The number of races that the jockey will win is what type of random variable ?
Proof -
Given that,
A jockey will ride horses in 10 different races at a race track today.
Let us assume that,
X is the number of races Jockey can win
So,
X can take value 0, 1, 2, 3, ......10
As,
It can take countable finite values
So,
X is a discrete Random variable
∴ we get
X is a discrete Random variable where X is the number of races Jockey can win.
Help picture below 3 problems easy will give brainlest
Answer:
7. 64
22. 12.9
12. 22
Step-by-step explanation:
x = 154 154 - 90 = 64
15% of 86 is 12.9
A triangle's angles must all add up to 180.
90 + 68 = 158 180 - 158 = 22
multiply [4, 0, -1, 2, -3, -1]x[0, 1, -3, 1]
Please Help...
Multiplication of the given matrix is not possible by definition of matrix multiplication.
Since, To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Expression for multiply,
⇒ [4, 0, -1, 2, -3, -1] x [0, 1, -3, 1]
Since, We can see that;
First matrix have order 1 x 6
And, Second matrix have order 1 x 4
We know that;
Matrix multiplication is possible when number of column in first matrix is same as number of rows in second matrix.
Hence, By given matrices we get;
Number of column in first matrix (6) ≠ number of rows in second matrix (1)
So, Multiplication of the given matrix is not possible by definition of matrix multiplication.
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The list of individuals from which a sample is actually selected is called the sampling frame. Ideally, the sampling frame should list every individual in the population, but in practice this is often difficult. A sampling frame that leaves out part of the population is a common source of undercoverage. In the following questions select all choices that apply; to receive credit for the question you must select all the correct choices and only the correct choices.
Question 1. A pollster wants to select a random sample of households in a particular community. The pollster randomly selects a sample of households in the community from the community telephone directory available in the public library. What households are omitted from this sampling frame?
1. Households that connect to the internet with their phone line.
2. Households that possess only cellphones Households with a second line for the fax machine.
3. Households that have moved into the community since the most recent community telephone directory was printed.
4. Households with unlisted numbers. Households with more than one line. Poor households (cannot afford a phone)
5. Households without telephones.
Question 2. What types of people do you think are most likely to live in the omitted households selected in question 1?
1. These people will probably be underrepresented in the sample. lower income people (cannot afford a phone)
2. people who choose not to list their numbers people who choose not to have phones
3. people who graduated from UNC-Chapel Hill
4. jobless people who have moved into the community to look for employment since the most recent community telephone directory was printed
5. people who drive hybrid automobiles high income people
Question 3. It is usual in telephone surveys to use random dialing equipment that selects the last four digits of a telephone number at random after being given the land-line exchange (the first three digits; note that cell phone exchanges differ from land-line exchanges). Which of the households you selected in Question 1 above will be included in this sampling frame by random digit dialing?
1. Households that possess only cellphones Poor households (cannot afford a phone)
2. Households with unlisted numbers
3. Households without telephones
4. Households with land-line telephones that have moved into the community since the most recent community telephone directory was printed.
Answer:
Question 1:
2. Households that possess only cellphones. 5. Households without telephones.As the pollster used the telephone directory, they will get the numbers of listed people in that community. Cellphones are not listed along with households with telephones so these will be underrepresented.
Question 2:
1. Lower income people (cannot afford a phone).2. people who choose not to list their numbers people who choose not to have phones.Question 3:
2. Households with unlisted numbers 4. Households with land-line telephones that have moved into the community since the most recent community telephone directory was printed.Households with unlisted numbers will still be called because the person is using random dialling which means that even if the number is not listed, it can still be called. Households with landlines will most definitely be reachable as well.
8. Subtract the polynomials: (3x2 + 5x – 8) – (2x2 - 4x + 3)
please give steps!!
\(\\ \sf\longmapsto 3x^2+5x-8-(2x^2-4x+3)\)
\(\\ \sf\longmapsto 3x^2+5x-8-2x^2+4x-3\)
\(\\ \sf\longmapsto 3x^2-2x^2+5x+4x-8-3\)
\(\\ \sf\longmapsto x^2+9x-11\)
Answer:
(3×2+5x-8)-(2×2-4x-3) = (6+5x-8)-(4-4x-3)
= 6+5x-8-4+4x+3
= -3+9x
20. in this problem we assume that fish are caught at a constant rate h independent of the size of the fish population. then y satisfies dy dt
the solution of the given derivative will be y = k/2(1±√(1-4h/rk))
What is derivative?
A function's varied rate of change with respect to an independent variable is referred to as a derivative. When there is a variable quantity and the rate of change is irregular, the derivative is most frequently utilised. The derivative is used to assess how sensitive a dependent variable is to an independent variable (independent variable). In mathematics, a quantity's instantaneous rate of change with respect to another is referred to as its derivative. Investigating the fluctuating nature of an amount is beneficial.
dy/dt = 0
-r/k y²+ry-h=0
y = k/2(1±√(1-4h/rk))
Hence the solution of the given derivative will be y = k/2(1±√(1-4h/rk))
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A trucker drove 300 miles in 5 hours, took a rest for an hour, then drove another 400 miles is 6.6 hours. What is the truckers average speed in miles per hour?
Answer:
25x = - 1820
x = -72.8
The truck drove 72.8 miles at 45mph and 100-72.8 = 27.2 miles at 20mph
Step-by-step explanation:
Jared writes a multiplication expression with eight rational factors. Half of the factors are positive and half are negative.
Is the product positive or negative? Why?
The multiplication expression with eight rational factors are ''positive''.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Jared writes a multiplication expression with eight rational factors. Half of the factors are positive and half are negative.
Since, Multiplication of four positive numbers are always gives a positive number and multiplication of four negative numbers are always gives a positive number.
Hence, The multiplication expression with eight rational factors are positive.
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Plz help meee! T-T
Well mark brainliest ONLY if u are correct!.
Answer:
B, C, D
Step-by-step explanation:
He made a mistake in each product.
-2(-8x) = 16x, not 10 x
-2(-4y) = 8y, not -8y
-2(3/4) = -1 1/2, not - 1/14
How do you write equations in Point-slope form?
For a line with a slope a and a known point (h, k), the point-slope form is:
y = a*(x - h) + k
How to write an equation in point slope form?A general linear equation can be written in slope-intercept form as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If we know that a line passes through a point (h, k), then the point-slope form of that line is:
y = a*(x - h) + k
Notice that particularly, the y-intercept can be written as (0, b), then the slope-intercept form is also a point-slope:
y = a*(x - 0) + b
y = a*x + b
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Kate is making biscuits. She uses flour, butter, and sugar in the ratio 5:3:2 Kate has 800 g flour 550 g butter. Kate wants to make the maximum number of biscuits possible. She works out how much sugar she needs. (a) How much sugar does Kate need? You must show working.
Answer:
800 grams flour ÷ 5 grams flour/biscuit = 160 biscuits
160 biscuits × 3 grams butter/biscuit = 480 grams butter
160 biscuits × 2 grams sugar/biscuit = 320 grams sugar
Katie needs 320 grams sugar.
Kate needs 270g of sugar to make the maximum number of biscuits possible.
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Now, Based on the ratio of flour, butter, and sugar of 5:3:2, we can determine that Kate needs;
⇒ 800g + 550g
= 1350g of the mixture.
Hence, For find out the amount of sugar needed, we need to determine the proportion of sugar in the mixture.
We can do this by adding up the ratio numbers;
(5+3+2) = 10.
Then we can divide each ratio number by the total (10) to get the proportion of each ingredient.
So the proportion of sugar in the mixture is 2/10. To find out how much sugar Kate needs, we can set up a proportion:
2/10 = x/1350
We can solve for x by cross-multiplying:
2 × 1350 = 10x
2700 = 10x
x = 270
Therefore, Kate needs 270g of sugar to make the maximum number of biscuits possible.
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A cyclist rides his bike at a speed of 15 miles per hour. What is this speed in kilometers per hour? How many kilometers will the cyclist travel in 4 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.
Answer:
Step-by-step explanation:
Speed = (15 mi)/hr × (1.6 km)/mi = (24 km)/hr
:::::
(4 hr) × (24 km)/hr = 96 km
Question 5:
Write each of the following numbers correct to 3 significant figures.
a) 37412
b) 84563
c) 261.42
d) 0.3684
e) 0.002615
f) 0.0025713
Following are the numbers correct to 3 significant figures
Answers to the following questions:
(1) Round to the needed significant figure: 37400;
(2) Round to the required significant figure: 84600;
(3) Round to the required significant figure: 261;
(4) Round to the needed significant figure: 0.00262
(5) Round to the required significant figure: 0.368
(6), round to the needed significant figure: 0.00257
What is meant by correct to significant figures?
The most significant number in the number is rounded up. Check the first non-zero digit if you want to round to one significant figure while doing so. If rounding to two significant numbers, have a look at the digit that comes after the first non-zero digit.
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