The appropriate number of significant figures for the calculation of 7.5 + 2.26 + 1.311 + 2 is equivalent to 10.
Significant figures:
Any non-zero number is significant. The number 33.2 has 3 significant digits because all digits present are non-zero.
Zeros between two non-zero numbers are valid. 2051 has 4 significant digits. Zero is between 2 and 5.
For numbers in exponential notation:
N x 10x, all numbers spanning N are valid. "10" and "x" are not important. 5.02 x 10^4 has 3 significant digits.
"5.02." "10" and "4" are not important.
Provides the ability to change the precision of a value by manipulating its shape. For example, write 1100 with 3 significant digits. 1100 has 2 significant digits. The trailing two zeros are not significant. Adding a decimal at the end brings the number to the 1100th significant digit (according to rule 5).
We can create a 3-significant digit of 1.10 x 10^3.
In the question of adding all we get,
7.5 + 2.26 = 9.76
9.76 + 1.311 + 2
9.76 + 1.311 = 11.071
11.071 + 2
11.071 + 2 = 13.071
13.071
Round 13.071 → 13
This is because the total sum of the numbers gives a value of 13.071.
However, the number '2' has only one significant figure.
Therefore, we need to restrict our solution to one significant figure.
Therefore, on rounding off the solution becomes '10' with only one significant figure.
To learn more about significant figures visit: https://brainly.com/question/29153641
#SPJ4
(a³ + 15a² +59a + 12) ÷ (a + 7)
Answer:
(a + 7)(a² + 15a + 59) + 0 = a³ + 15a² + 59a + 12
Step-by-step explanation:
To solve this problem, we can use the long division method.
First, we need to divide the first term of the dividend, which is a³, by the first term of the divisor, which is a. This gives us a quotient of a² with a remainder of 0. We write this as follows:
a³ + 15a² + 59a + 12
a + 7 |
—————
a² | 0
Next, we multiply the divisor by the quotient and subtract it from the dividend, giving us a new dividend of 15a² + 59a + 12. We write this as follows:
a³ + 15a² + 59a + 12
a + 7 |
—————
a² | 0
- |
a² | 15a² + 59a + 12
Next, we divide the first term of the new dividend, which is 15a², by the first term of the divisor, which is a. This gives us a quotient of 15a with a remainder of 0. We write this as follows:
a³ + 15a² + 59a + 12
a + 7 |
—————
a² | 0
- |
a² | 15a² + 59a + 12
|
| 15a | 0
Next, we multiply the divisor by the quotient and subtract it from the dividend, giving us a new dividend of 59a + 12. We write this as follows:
a³ + 15a² + 59a + 12
a + 7 |
—————
a² | 0
- |
a² | 15a² + 59a + 12
|
| 15a | 0
- |
15a | 59a + 12
Finally, we divide the first term of the new dividend, which is 59a, by the first term of the divisor, which is a. This gives us a quotient of 59 with a remainder of 0. We write this as follows:
a³ + 15a² + 59a + 12
a + 7 |
—————
a² | 0
- |
a² | 15a² + 59a + 12
|
| 15a | 0
- |
15a | 59a + 12
|
| 59 | 0
Since the remainder is 0, this means that the expression (a³ + 15a² + 59a + 12) is divisible by (a + 7). Therefore, the quotient is:
a³ + 15a² + 59a + 12
a + 7
—————
a² + 15a + 59
We can check our answer by multiplying the divisor by the quotient and adding the remainder (which is 0), and verifying that the result is equal to the original dividend
(a + 7)(a² + 15a + 59) + 0 = a³ + 15a² + 59a + 12
answer this please and ty
The solution is Option C.
Number of squares n in a size number s is given by the equation n = 4s + 1
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is given by
Let the number of squares be = n
Let the size number be = s
Now ,
Figure 1 :
The size number s = 1
The number of squares in the figure 1 is = 5 squares
So , the equation will be n = 4s + 1
n = 4 x 1 + 1 = 5 squares
Figure 2 :
The size number s = 2
The number of squares in the figure 2 is = 9 squares
So , the equation will be n = 4s + 1
n = 4 x 2 + 1
n = 8 + 1 = 9 squares
Figure 3 :
The size number s = 3
The number of squares in the figure 2 is = 13 squares
So , the equation will be n = 4s + 1
n = 4 x 3 + 1
n = 12 + 1 = 13 squares
Hence , The equation is given by n = 4s + 1 , where n is the number of squares and s is the size number
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ1
What is the equation of a line that passes through 3/6 and 8 4?
The equation of a line whose slope is 3/6 and passes through (8, 4) is y- 4 = 3/6(x -8).
The equation of a line:
The equation of a line is an algebraic form of representing the set of points, which together form a line in a coordinate system. The numerous points which together form a line in the coordinate axis are represented as a set of variables x, and y to form an algebraic equation, which is referred to as an equation of a line.
Here we have to find the equation of a line.
Data given:
The slope (m) = 3/6
The point = (8,4)
The general formula for the equation of a line:
y - y1 = m( x - x1)
Where (x1, y1) is the point on the line.
As it is given that the point is ( 8, 4) and the slope is 3/6, so we have,
y - 4 = 3/6(x - 8)
Therefore the equation of a line is y-4 = 3/6(x -8).
To know more about the equation of a line refer to the link given below:
https://brainly.com/question/18831322
#SPJ4
URGENTTT PLS DO IT THANKSS
Answer:
Mode) 7
Median) 6
Mean) 5.2
Range) 7
Step-by-step explanation:
Let's start with what we have:
3, 7, 2, 4, 7, 5, 7, 1, 8, 8
a) The first part of the question we have to do is figure out the mode. The mode of a group of numbers is the number most repeated, which in this case is:
Mode) 7
b) The median of a data set is the number in the middle when ordered from least to greatest. When reordering it, we get:
1,2,3,4,5,7,7,7,8,8
So the number in the middle is...
There is no number in the middle so we have to find the mean of the middlemost numbers which are 5 and 7. Calculating (5 + 7)/2 we get 6, so.
Median) 6
c) The mean of a data set is when we add up all the numbers and then divide by the number of numbers, in this case, is 10. The sum of the numbers is 52. When dividing 52 by 10 we get:
Mode) 5.2
d) The range of a data set is the difference between the greatest number and the smallest number. When subtracting 1 from 8 we get:
Range) 7
Where d is the distance traveled by an object moving at speed r in time t
Find d if r = 10 m/sec. t = 15 sec.
A) 5m
B)25m
C) 150m
Answer:
Option C is the correct answer
C) 150 m
Step-by-step explanation:
Speed = Distance ÷ Time
Distance = Speed × Time
d = 10 × 15
d = 150 m
Thus, The speed of the object is 150 m.
Answer:
d=150m
Step-by-step explanation:
Speed = Distance /Time
10= d/155
d= 150m
A chemist poured 79.89 mL
of water into an empty beaker.
She mixed in 32.7 mL of chlorin
and 0.05 mL of glycerin. How
many milliliters of liquid was in
he beaker then?
Answer: 112.64 mL
Step-by-step explanation:
To find the number of milliliters of liquid in the beaker then, we will add all of the given values together.
79.89 mL + 32.7 mL + 0.05 mL = 112.64 mL
What is a/b if a=6 and b=24
Answer: 1/4
Step-by-step explanation:
We know the equation is a/b, and a = 6 when b=24, so we just need to plug the number in the spot of the variable.
6/24 = 1/4
Which train is going faster?
Train C is going
90 centimeters in
15 seconds
Train D is going
3 meters in
1 minute
Answer:
Step-by-step explanation:
Train D I believe
w(n)=4n-3; Find w(n+4)
Answer:
w(3n)=12n+2
Step-by-step explanation:
. Explanation: to evaluate w(3n) substitute n=3n into w(n). ⇒w(3n)=4(3n)+2=12n+2.
(5 * (4/5) ^ 2 * (3/5))/3
I’m looking for a step by step explanation for the answer in fraction form?
Answer:
[tex]\frac{16}{25}[/tex]
Step-by-step explanation:
[tex]\frac{5*(\frac{4}{5})^{2}*\frac{3}{5} }{3}[/tex]
= [tex]\frac{\frac{5}{1} *\frac{16}{25}*\frac{3}{5} }{3}[/tex]
= [tex]\frac{\frac{5*16*3}{1*25*5} }{3}[/tex]
= [tex]\frac{\frac{240}{125} }{3}[/tex]
= [tex]\frac{\frac{48}{25} }{3}[/tex]
= [tex]\frac{48}{25} /\frac{3}{1}[/tex]
= [tex]\frac{48}{25} *\frac{1}{3}[/tex]
= [tex]\frac{48*1}{25*3}[/tex]
= [tex]\frac{48}{75}[/tex]
= [tex]\frac{16}{25}[/tex]
How do you write a function from a function table?
A function is a mathematical expression that describes the relationship between an input and an output.
The function table is a visual, graded table with cells for input and cells for output that are organized into rows and columns.
Function tables have three variables components. There is the input, the function and the output. Function tables are created so that one of the three components is unknown and the other two serve as the clues to solving the table.
The rule of a function table is the mathematical operation that describes the relationship between the input and the output. The rule must be consistently applied to all input/output parts.
A traditional function table is made using two rows, with the top row being the input cells and bottom row being the ouput celss. Each column represents a signal input/output relationship.
To know more about function table here
https://brainly.com/question/29784103
#SPJ4
Which transformations map the strip pattern onto itself?
a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°
a horizontal translation only
a horizontal translation, a reflection across a horizontal line, and a glide reflection only
a horizontal translation and a 180° rotation only
The transformations that map the strip pattern onto itself is a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°. Option A is the correct option.
What are the conditions for mapping the strip transformation pattern onto itself?The strip pattern can be mapped onto itself in two different ways.
The first way is to translate the strip pattern horizontally and then rotate it by 180° degrees. The second way is to reflect the strip pattern across a vertical line.Hence, the transformations that map the strip pattern onto itself can be achieved through a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°.
Learn more about transformations map on
https://brainly.com/question/7721186
#SPJ1
A movie theater ha a eating capacity of 151. The theater charge $5. 00 for children, $7. 00 for tudent, and $12. 00 for adult. There are half a many adult a there are children. If the total ticket ale wa $ 1086, How many children, tudent, and adult attended?
According to the given statement, there were 58 children, 29 adults and 64 students.
What is an equation?Algebraically speaking, an equation is indeed a statement that establishes the equivalence of two mathematical equations.
Briefing:Let there be x number of children, y number of students and x/2 number of adults. Forming the first equation based on number of students -
x + y + x/2 = 151 : Equation 1
Multiply equation 1 with 2
2x + 2y + x = 302 : Equation 2
3x + 2y = 302 : Equation 3
y = (302 - 3x)/2 : Equation 4
Forming second equation based on cost -
5x + 7y + 12x/2 = 1086 : Equation 5
Rewriting this equation
5x + 7y + 6x = 1086 : Equation 6
11x + 7y = 1086 : Equation 7
Keep the value of y from equation 4 in equation 7
11x + 7(302 - 3x)/2 = 1086
11x + (2114 - 21x)/2 = 1086
22x + 2114 - 21x = 2172
x = 2172 - 2114
x = 58
Now,
y = (302 - 3x)/2
y = (302 - 3×58)/2
y = 128/2
y = 64
Number of adults = 58/2
Number of adults = 29
Thus, there were 58 children, 29 adults and 64 students.
To know more about equation visit:
https://brainly.com/question/649785
#SPJ4
Find the value of the discriminant for the quadratic equation. Then describe the number and type of roots for the equation. Use the
words rational, irrational, or complex to describe the roots.
x² - 8x + 16 = 0
The roots of the quadratic equation x² - 8x + 16 = 0 are real and equal which is 4.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The quadratic equation is given below.
x² - 8x + 16 = 0
The value of the discriminant is given as,
D = b² - 4ac
D = (-8)² - 4(1)(16)
D = 64 - 64
D = 0
The roots of the equation are calculated as,
x² - 8x + 16 = 0
x² - 4x - 4x + 16 = 0
x(x - 4) - 4(x - 4) = 0
(x - 4)(x - 4) = 0
x = 4, 4
The roots of the quadratic equation x² - 8x + 16 = 0 are real and equal which is 4.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ1
What is to 4285 feet in yards
Answer:
1428.33333 yards
Step-by-step explanation:
1 foot = 0.33333 yards
4285 feet = 4285*0.33333 = 1428.33333 yards
the segments shown below could form a triangle? true or false
Answer:
false
Step-by-step explanation:
5²+6²=61.
>
Square root of 61 is 7.81 and not 12 so the points will not meet
Ivanna runs 6 miles in 44 minutes. At the same rate, how many minutes would she take to run 9 miles?
Answer:
Step-by-step explanation:
66 minutes
Help! Show work please thank you!
The correct statement is:
x= 125, 180 - (63+62) =55 and 180-55=125
What are interior angles?
An Interior Angle is an angle inside a shape.
The basic polygonal shape of a triangle has three sides and three interior angles. It is one of the fundamental shapes in geometry . It has three connected vertices. Triangles can be divided into a variety of categories according on their sides and angles.
The sum of the diagonal internal angles in a triangle determines its outer angle.
And also,
In a triangle, the sum of the interior angles is always 180°.
So, x= 125 ( Because 63+62=125 ) , 180 - (63+62) =55 and 180-55=125
To learn more about the interior angles from the given link
https://brainly.com/question/24966296
#SPJ1
0.25r+0.6s
show work
The verbal expression of 0.25r+0.6s is 0.25 multiplied by r plus 0.6 multiplied by s
What is an algebraic expression?An algebraic expression can be described as an expression that is made up of coefficients, factors, terms, constants and variables.
These expressions are also known to be made up of some arithmetic and mathematical operations, which includes;
SubtractionMultiplicationDivisionAdditionBracketParentheses, etcExamples of algebraic expressions:
2x + y
3x + 7
4z + 1
Given the expression:
0.25r+0.6s
It is written in words as;
0.25 multiplied by r plus 0.6 multiplied by s
Hence, algebraic expressions are made up of constants and terms
Learn more about algebraic expressions here:
https://brainly.com/question/4344214
#SPJ1
Complete question:
0.25r+0.6s. What is the verbal expression
Given the linear function table state the y-intercept. Enter your answer in the box. b:
The y - intercept of a linear function is (0, -4).
What is intercepts?
A y-intercept, also known as a vertical intercept, is a point in analytical geometry where the graph of a function or relation intersects the y-axis of the coordinate system, using the convention that the horizontal axis represents a variable x and the vertical axis represents a variable y. Thus,
x = 0 is satisfied at these points.
y - intercept is the point which crosses the y - axis.
Since y - intercept is when x = 0
From the table the first point is x = 0.
Hence, the y - intercept of a linear function is (0, -4).
To know more about intercepts, click on the link
https://brainly.com/question/24212383
#SPJ1
Find the values of x and y in the diagram
Answer
Step by step explanation
what is the probability????
What is the measure of
Answer: c, 84
Step-by-step explanation:
What are equivalent fractions? What are the equivalent fractions of 1/2?
The equivalent fraction is defined below and the few equivalent fractions of 1/2 are 2/4 , 3/6... .
In the question ,
it is given that the fraction is 1/2 .
The Equivalent Fractions are defined as the fractions that have different numerators and denominators but are equal to same value and
A fraction is a part of the whole ; Equivalent fractions represent the same portion of that whole.
the fraction is 1/2 ,
to find the equivalent fraction , we multiply numerator and denominator by 2 ,
we get , 2/4
on multiplying by 3 , we get
= 3/6 .
Therefore , the equivalent fractions of 1/2 are 2/4 , 3/6 ...
Learn more about Equivalent Fractions here
https://brainly.com/question/29769027
#SPJ4
b. What percent of the votes does the least popular mascot receive?
The least popular mascot receives
Explain your reasoning.
BI U T² T₂
% of the votes.
c. There are 124 votes total. How many votes does tiger receive?
Tiger receives
votes.
You roll a 10 ided die. What i the probability of rolling a even number and le than 4?
On rolling a standard die , the probability of getting a even number and less than 4 is 1/6 .
In the question ,
it is given that ,
a standard die is rolled ,
the total outcomes is {1 , 2 , 3 , 4 , 5 , 6} .
the even numbers are {2,4,6} .
and the outcome that are less than 4 is only {2} .
so , the number of favorable outcome is only 1 .
and total number of outcome is 6 ;
So , the probability is = (favorable outcome)/(total outcome)
Substituting the value from above ,
we get ,
probability is = 1/6 .
Therefore , the required probability is 1/6 .
The given question is incomplete , the complete question is
You roll a standard die. What is the probability of getting a even number and less than 4 ?
Learn more about Probability here
https://brainly.com/question/15063045
#SPJ4
Are 9(4 2 x) and 36 2 9x equivalent expressions
Yes, the given expressions are equivalent.
What is the equivalent expression?
Expressions that are equivalent do the same thing even when they have distinct appearances. When we enter the same value for the variable, two algebraic expressions that are equivalent have the same value.
We have,
9(4 - x)
and 36 - 9x
Are these equivalent expressions?
9(4 - x) = 36 - 9x
36 - 9x = 36 - 9x
So, LHS = RHS = 36 - 9x
Therefore, the expression 9(4 - x) and 36 - 9x are equivalent expressions.
Hence, yes the given expressions are equivalent.
To learn more about the equivalent expression visit,
https://brainly.com/question/24734894
#SPJ1
The measure of one acute angle of a right triangle is 6 less than twice the measure of the other acute angle. Find the measure of each acute angle.
The measure of each of the acute angles of the right triangle is 32° and 58°.
A right triangle is a kind of triangle which has a right angle (90°) and two acute angles (less than 90°).
Let x = measure of one of the acute angles
If the measure of one acute angle of a right triangle is 6 less than twice the measure of the other acute angle, then
measure of the other acute angle = 2x - 6
The sum of all the angles of any triangle is equal to 180°. Hence,
90° + x + 2x - 6 = 180°
Solve for the value of x.
3x = 96
x = 32
Solve for the measure of the other acute angle.
2x - 6 = 2(32) - 6 = 58
Hence, the two angles are 32° and 58°.
Learn more about right triangles here: https://brainly.com/question/1635412
#SPJ4
3) If x and y vary directly, find the missing value: (4, y) and (-6, 15)
Answer:
Step-by-step explanation:
i got 72
Josiah is going to invest $4,800 and leave it in an account for 6 years. Assuming the interest is compounded daily, what interest rate, to the nearest tenth of a percent, would be required in order for Josiah to end up with $5,400?
Answer:
1.963%
Step-by-step explanation:
Use the equation for compound interest
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]5400 = 4800(1 + \frac{r}{365})^{(365)(6)}\\5400/4800 = 4800(1 + \frac{r}{365})^{(365)(6)}/4800\\1.125 = (1 + \frac{r}{365})^{2190}\\\sqrt[2190]{1.125} = \sqrt[2190]{ (1 + \frac{r}{365})^{2190}} \\1.0000537836544 = 1 + \frac{r}{365} \\1.0000537836544 -1 = 1 + \frac{r}{365} -1\\.0000537836544 = \frac{r}{365}\\(.0000537836544)(365) = ( \frac{r}{365})(365)\\.019631 = r[/tex]