3^4×2^3×3^7×2^2÷2^2×3^2×2^5×3^6
Answers
Answer:
the answer is
[tex] \frac{27}{4} [/tex]
Decimal Form: 6.75
Mixed Number: 6 3/4
Related Questions
Choose the number sentence that illustrates the distributive property of multiplication over addition.
A. 5x (7+2) = (5+7) × (5+2)
B. 5x (7+2) = (5 × 7) +2
C. 5x (7+2) = (5 × 7) + (5 × 2)
Answers
Answer:its
a80
b16
c60
Step-by-step explanation:
Answer:
Step-by-step explanation:
C. 5 × (7 + 2) = (5 × 7) + (5 × 2)
Given the following series of numbers, determine the mode.
a. 50, 45, 55, 55, 45, 50, 55, 45, 55
b. 89, 87, 88, 83, 86, 82, 84
c. 11, 17, 14, 12, 12, 14, 14, 15, 17, 17
Answers
The most frequent numerical value in a set of data exists named the mode.
The mode in 50, 45, 55, 55, 45, 50, 55, 45, 55 is 55.
There is no mode in 89, 87, 88, 83, 86, 82, 84.
The mode in 11, 17, 14, 12, 12, 14, 14, 15, 17, 17 is 14 and 17.
What is the mode?A data set's mode is its most prevalent value. It is the number that appears most frequently on a list. The number with the highest sum is referred to as the mode.
The most frequent numerical value in a set of data is called the mode. In other words, the number that appears the most times in a list is the mode.
Rearranging the list of integers from least to greatest and then counting the occurrences of each number in the new order will reveal the mode. The mode is the most frequent number.
The average value in a data set exists in the most popular statistical data analysis technique, named Mean.
The median exists the data set's midway.
Mode exists the value that dominates a data set.
To learn more about mode refer to;
https://brainly.com/question/11943695
#SPJ4
Evaluate the expression for the given value of the variable
|x-19| ; x = 10
Answers
Answer:
|(10)-19| = |-9| = 9
Step-by-step explanation: Just plug it in. Oh btw the absolute value means distance from 0.
ANSWER IS : 9
Solve the inequality.
7(x − 3) > −7\
Answers
Step-by-step explanation:
7(× - 3) > - 7
7× - 21 > - 7
7× > -7 + 21
7× > 14
______
7 7
× = 2
8. The spherical cover of a lamp has a mass of 780 g and a diameter of 25 cm. If you were to use it to carry water, what would its mass be when it is full of water? Express your answer in kilograms.
Answers
The mass when it is full of water will be 8,961 grams.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The spherical cover of a lamp has a mass of 780 g and a diameter of 25 cm. If you were to use it to carry water.
We know that the density of the water is 1 g / cm³. Then the mass of the water will be given as,
Density = mass / volume
1 = m / [(4/3)πr³]
m = (1/6) πd³
m = 8181 grams
The mass when it is full of water will be
⇒ 780 + 8181
⇒ 8,961 grams
The mass when it is full of water will be 8,961 grams.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ1
Let f ( x ) = 1 x and g ( x ) = x 2 + 5 x . a. Find (f · g)(x). b. Find the domain and range of (f · g)(x).
Answers
The answer to all the subparts are given:
(f · g)(x) = [(f X g)(x) = x + 5]The domain of the given function: (-∞, 0) ∪ (0, ∞)The Range of the given function: (-6.25, 0) ∪ (0, ∞)(A) (f · g)(x):
So,
(f×g)(x)=f(x)*g(x)Plug in:
[tex](f X g)(x)=\frac{1}{x}\left(x^2+5 x\right)[/tex]Simplify as follows:
[tex]\begin{aligned}&(f X g)(x)=\frac{1}{x}(x(x+5)) \\&(f X g)(x)=x+5\end{aligned}[/tex]
(B) Domain:
First, we will determine the domain of f(x), g(x), and (fxg) (x).
Then we can look for a common domain.
The domain of f(x):
[tex]f(x)=\frac{1}{x}[/tex]At x=0, we know that f(x) is undefined.
As a result, the domain will be:
[tex](-\infty, 0)_{\cup}(0, \infty)[/tex]The domain of g(x):
[tex]g(x)=x^2+5 x[/tex]
Because it is polynomial.
As a result, it is defined for all real values of x.We can now find a common domain.As a result, the domain will be:
[tex](-\infty, 0) \cup(0, \infty)[/tex](C) Range:
First, we will determine the range of f(x), g(x), and (fxg) (x).
Then we can determine the common range.
f(x) range:
[tex]f(x)=\frac{1}{x}[/tex]We know that range refers to all possible y values for which x is defined.
Because the horizontal asymptote will be at y=0.
As a result, the range is:
[tex](-\infty, 0) \cup(0, \infty)[/tex]Range of g(x):
[tex]g(x)=x^2+5 x[/tex]Because it is a quadratic equation.
As a result, its range will be:
[tex][-6.25, \infty)[/tex]We can now find a common range.
As a result, the range will be:
[tex](-6.25,0) \cup(0, \infty)[/tex]
Therefore, the answer to all the subparts are given:
(f · g)(x) = [(f X g)(x) = x + 5]The domain of the given function: (-∞, 0) ∪ (0, ∞)The Range of the given function: (-6.25, 0) ∪ (0, ∞)Know more about domain range here:
https://brainly.com/question/26098895
#SPJ1
COORDINATE GEOMETRY Find the measures of the sides of ΔJ K L and classify each triangle by the measures of its sides. (Lesson 4-1)
J(9,9), K(12,14), L(14,6)
Answers
The measure of the sides of ΔJKL is 17.26 units.
What do we mean by a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental shape in geometry. Triangle ABC denotes a triangle with vertices A, B, and C. In Euclidean geometry, any three non-collinear points define a unique triangle and, by extension, a unique plane.So,
The formula of perimeter: √√(x₂−x₁)²+(y₂−y₁)²
Filling the values in the formula, we obtain:
= √(12−9)²+(14−9)²= 17.26 unitsThen, each side of the triangle will be: 17.26 units
Therefore, a measure of the sides of ΔJKL is 17.26 units.
Know more about triangles here:
https://brainly.com/question/23945265
#SPJ4
6 of 6
Triangles A and B are congruent.
Find the area of triangle A. Give your answer to 1 dp.
area =
17cm
108 cm²
area = cm²
A
Not drawn accurately.
B
12cm
O
F
You may use
Get help
Report a mista
On-screen keyp
Che
Ski
Answers
Area of triangle A is 72.2 cm square.
Here, we are given that triangles A and B, as shown in the figure are congruent to each other.
They are also both right angle triangles.
The length of the hypotenuse of A is 17cm
and the height of triangle be = 12cm
But as these two are congruent,
height of triangle A will also be 12cm.
Now, according to Pythagoras theorem,
[tex]hypotenuse^{2} = base^{2} +height^{2}[/tex]
[tex]17^{2}[/tex] = [tex]12^{2}[/tex] + [tex]base^{2}[/tex]
289 = 144 + [tex]base^{2}[/tex]
[tex]base^{2}[/tex] = 145
base = 12.04
Thus, the area of the triangles = 1/2 * base height
= 1/2 x 12 x 12.04
= 72.2
Thus the area of triangle A will be 72.2 cm square.
Learn more about congruent triangles here-brainly.com/question/2938476
#SPJ9
Write each equation in slope-intercept form. Then find the slope and y -intercept of each line. -3 x+2 y=7
Answers
The slope-intercept form of the given equation of a line is: y = 3/2(x) + 7/2 The slope here, is 3/2 and y-intercept is 7/2.
What is the equation of a line to the curve?A line's equation has the standard form ax + by + c = 0. Here, the variables are x and y, the coefficients are a and b, and the constant term is c. It is a first-order equation with the variables x and y. The coordinates of the point on the line shown in the coordinate plane are represented by the values of x and y.Now,
The slope-intercept form of an equation of a line is given by: y = mx + c, where m = slope of the line and c = y-intercept of the line.
Transforming the given equation of the line: -3x + 2y = 7
=> 2y = 7 + 3x
=> y = 3/2(x) + 7/2
On comparing it with y = mx + c, we get that: m (slope) = 3/2 and c = 7/2 (y-intercept).
Hence, The slope-intercept form of the given equation of a line is: y = 3/2(x) + 7/2. The slope here, is 3/2 and y-intercept is 7/2.
To learn more about equation of a line to a curve, refer to the link: https://brainly.com/question/13763238
#SPJ4
What is the average speed of an
automobile trip of 275 miles that
began at 7:30 in the morning and
ended at 12:30 in the afternoon
Answers
The average speed of an automobile is a 55 miles per hour.
According to the statement
We have to find that the value of the average speed of an automobile.
So, For this purpose, we know that the
The average speed is the total distance traveled by the object in a particular time interval.
From the given information:
automobile trip of 275 miles that began at 7:30 in the morning and ended at 12:30 in the afternoon
Then
The total distance covered = 275 miles
And
The total time taken = From 7:30 in the morning to 12:30 in the afternoon
Then
The total time taken = 5 hours,
Then
Average speed = total distance covered / total time taken
Average speed = 275 miles / 5 hours
Then
Average speed = 275 / 5
Average speed = 55 miles per hour.
So, The average speed of an automobile is a 55 miles per hour.
Learn more about average speed here
https://brainly.com/question/9481729
#SPJ1
If you dig a 6ft hole, how deep is it?
Answers
Answer: 8 feet
Step-by-step explanation:
Find the center and the radius of each circle. x²+y²=14
Answers
The equation of the circle x^2 + y^2 = 14 has a radius of √14 and a center located at (0 , 0).
The standard form of the equation of circle is given by
(x - h)^2 + (y - k)^2 = r^2
where (h , k) is the location of the center and r is the radius of the circle.
On the other hand, the general form of the equation of circle is given by
x^2 + y^2 + Dx + Ey + F = 0
where D = -2h, E = -2k, and F = h^2 + k^2 -r^2.
If the equation of the circle,x^2 + y^2 = 14, is in standard form, then
h = 0
k = 0
r = √14
Hence, the equation of the circle x^2 + y^2 = 14 has a radius of √14 and a center located at (0 , 0).
Learn more about equation of a circle here: https://brainly.com/question/1559324
#SPJ4
what does SSA stand for? what does it have to do with similar triangles?
Answers
Answer:
SSA stands for side-side angles.
Step-by-step explanation:
SSA means there are two known sides of a triangle and one known angle that is not between the two sides and they are equal to two known sides and a angle of another triangle, the triangles are similar (that’s what SSA has to do with similar triangles)
Converting Units of Rates
Nina can ride her bike 63,360 feet in 3,400 seconds, and Sophia can ride her bike 10 miles in 1 hour. What is Nina's
rate in miles per hour if there are 5,280 feet in a mile?
Which girl bikes faster?
Answers
Nina's rate in miles per hour is 12.711 and Nina bikes faster than Sophia.
Nina's speed can also be defined as her Average Speed.
Similarly, Sophias's speed can also be defined as her Average Speed.
We have Sophia's speed = 10 miles in hour = 10 miles per hour
What is average speed and average?
Average speed is the total distance travelled by an object to the total time taken. means,
[tex]Average Speed = \frac{Total Distance}{Total Time }\\[/tex]
Total Distance covered by Nina = 63,360ft.
[tex]1 \ mile = 5280 \ feet\\[/tex]
So,Nina's Distance (in miles) [tex]\frac{63360}{5280}= 12 \ miles[/tex]
Nina's Time (in hour) [tex]\frac{3400}{60*60}= 0.944 \ hour[/tex]
Nina's Average Speed = [tex]\frac{12}{0.944}= 12.711 \ miles/hour[/tex]
So, Nina's Average Speed = 12.711 miles per hour
Since, Sophia's Average Speed = 10 miles per hour
Therefore, Nina bikes faster on a average speed of 12.711 miles per hour.
Learn more about Average Speed here https://brainly.com/question/17277454
#SPJ1
Nina's rate in miles per hour is 12.711 and Nina bikes faster than Sophia.
Nina's speed can also be defined as her Average Speed.
Similarly, Sophias's speed can also be defined as her Average Speed.
We have Sophia's speed = 10 miles in hour = 10 miles per hour
What is average speed and average?
Average speed is the total distance travelled by an object to the total time taken. means,
[tex]Average Speed = \frac{Total Distance}{Total Time }\\[/tex]
Total Distance covered by Nina = 63,360ft
1 mile = 5280 feet
So,Nina's Distance (in miles) [tex]\frac{63360}{5280}= 12 \ miles[/tex]
Nina's Time (in hour) [tex]\frac{3400}{60*60}= 0.944 \ hour[/tex]
Nina's Average Speed = [tex]\frac{12}{0.944}= 12.711 \ miles \ / \ hour[/tex]
So, Nina's Average Speed = 12.711 miles per hour
Since, Sophia's Average Speed = 10 miles per hour
Therefore, Nina bikes faster on a average speed of 12.711 miles per hour.
Learn more about Average Speed here brainly.com/question/17277454
#SPJ1
how do i solve this math problem 5x+2=3(x-1)
Answers
3 times x and 3 times -1
this should get you 3x-3
that leaves the equation 5x+2=3x-3
Now you want to move the x’s to the same side. To move the 3x to the other said you would subtract it from the 5x
this leaves 2x+2=-3
Then you move the 2 to the other side. Like before you do the opposite and subtract 2 from -3
You’re equation should now be 2x = -5
The final step is to sepate the 2 from x. To do that you would divide by 2 on both sides of the equation.
This gives you the answer x= - 2/5 or -0.4
me positive
If M is the midpoint of AB, AM = 6x-4, and MB=8x-10, then find AB. (Hint: solve for x first!)
Answers
If M is the midpoint of AB , Value of AB = 28
What is mid points of line?
A location in the middle of a line connecting two points is referred to as the midpoint. The midpoint of a line is located between the two reference points, which are its endpoints. The line that connects these two places is split in half equally at the halfway.If M is the midpoint of AB it means AM is equal to MB
AM = 3x + 8 and MB = 6x-4
and AB = AM + MB
first find the value of x by using AM = MB
6x-4 = 8x-10
-4 + 10 = 8x - 6x
6 = 2x
x = 3
AB = 6( 3 ) - 4
= 18 - 4 = 14 = MB
AB = AM + MB
= 14 + 14
= 28
so, the value of AB is 28
Learn more about midpoint
brainly.com/question/5127222
#SPJ9
5 times the difference of a number and 3
number meaning x
Answers
The value of an unknown number x will be equal to ( 15 / 4).
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that 5 times, the difference between a number and 3 is x. The value of the unknown number will be calculated as:-
5 ( x - 3 ) = x
5x - 15 = x
4x = 15
x = 15 / 4
Therefore, the value of an unknown number x will be equal to ( 15 / 4).
To know more about an expression follow
https://brainly.com/question/723406
#SPJ1
The temperature of an object goes up by 1k. how much did it go up in degrees fahrenheit and how much in degrees celsius?
Answers
Given that the temperature of an object goes up by 1.0 Kelvin, the rise in degrees Fahrenheit and Celsius are -457.87°F and 272.15°C respectively.
What is the value of 1 Kelvin in in degrees Fahrenheit and Celsius?The formula used in converting temperature from Kelvin to Fahrenheit is expressed as;
(( x - 273.15 ) × 9/5 + 32)°F
Also, to convert temperature form Kelvin to Celsius, we use;
( x - 273.15)°C
Given that;
Temperature goes up by 1 Kelvin1 Kelvin in degrees Fahrenheit = ?1 Kelvin in degrees Celsius = ?Convert 1 Kelvin to degrees Fahrenheit.
(( x - 273.15 ) × 9/5 + 32)°F
(( 1 - 273.15 ) × 9/5 + 32)°F
( 272.15 × 9/5 + 32)°F
( -489.87 + 32)°F
-457.87°F
Convert 1 Kelvin to degrees Celsius.
( x - 273.15)°C
( 1 - 273.15)°C
272.15°C
Given that the temperature of an object goes up by 1.0 Kelvin, the rise in degrees Fahrenheit and Celsius are -457.87°F and 272.15°C respectively.
Learn more temperature conversion units here: https://brainly.com/question/13421795
#SPJ1
1) |x|-4 = 9
2) |x - 4| = 9
Solve the absolute value for each equation.
Answers
Answer:
13 & 5
Step-by-step explanation:
Absolute for x still gives a positive X value
So: X- 4 = 9
X = 9 + 4
X = 13
|x-4| = 9
Gives X + 4 = 9
x = 9 - 4
X = 5
The mass of a paperclip is 8.0 × 10^−4 mg. If a box of paperclips has 7.68 × 10^4 paperclips, determine the total mass of the paperclips in the box. Write the final answer in scientific notation with the correct number of significant digits.
6.1 × 10^1mg
6 × 10^1 mg
6.144 × 10^1 mg
9.6 × 10^0 mg
Answers
The required mass of the paper clips in the box is = 61.44 mg.
Given that,
mass of a paperclip = 8.0 × 10⁻⁴
Number of paperclip in the box = 7.68 × 10⁴
The total mass of the paper clips is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Mass of paperclips = 8.0 × 10⁻⁴ x 7.68 × 10⁴
Mass of paperclips = 61.44 * 10 ⁻⁴⁺⁴
Mass of paperclips = 61.44 * 10 ⁰
Mass of paperclips = 61.44 * 1
Thus, the required mass of the paper clips in the box is = 61.44 mg.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ1
How should the decimal point in 6.8 be moved to determine the product of 6.8 and 100
Answers
The decimal point should be moved two places to the right.
The number we have given is = 6.8
We have to find how many decimal point should be moved when 6.8 is multiplied by 100
We know that when we multiply a decimal number with 10, 100, 1000,…. and so on. We shift the decimal point to the right side according to the number of zeroes present.
According to the question, we have two zeroes therefore we will shift the decimal point to the rights side two times, that is,
6.8 * 100 = 680
Hence the decimal point should be moved two places to the right.
Learn more about decimal here : https://brainly.com/question/47431
#SPJ9
Is the ordered pair (3/4, 0) a solution of 3x+y>3 ? Explain.
Answers
The Given expression in the question is this 3x+y>3; the answer to this expression is (3/4,0).
So, we need to find the solution to the given expression and then compare the answers to see if they match each other. If so, the ordered pair is the solution of the given word; if not, the ordered pair is not the solution of the given expression.
In this problem, you substitute ordered pairs of x and y values into the equation.
3(3/4) + (0) > 3
9/4 + 0 > 3
9/4 > 3 No, 9/4 is not greater than 3, so the ordered pair is (3/4,0). Not the solution to the equation
The link below is to more problems related to the correct ordered pair for a given expression.
https://brainly.com/question/20369161?referrer=searchResults
#SPJ4
Please help asap Geometry
Answers
Step-by-step explanation:
72+68=140°
180-140=40°
z=40°
URGENT DUE TODAY PLEASE HELP
Lines k and p are parallel. If m<1 = 5x + 1 and m<2 = 8x - 20, find
the measure of angle 2.
Answers
Help!!! Limited time
You want to buy some clothing from an online retailer. The shirts cost $9 each and the pants cost $12 a pair. They also charge $4 shipping and handling for each order. Write a variable expression to represent the situation and determine what your total would be if you ordered 5 shirts and 2 pairs of pants.
Please show variable expression
Answers
For the given shirts and pants the cost of the 5 shirts and 2 pairs of pants will be $73.
What is an expression?
The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that the shirts cost $9 each and the pants cost $12 a pair. They also charge $4 shipping and handling for each order. the cost of 5 shirts and 2 pairs of pants will be calculated as below:-
Cost = 9s + 12 p + 4
Cost = 9 ( 5 ) + 12 ( 2 ) + 4
Cost = 45 + 24 + 4
Cost = $73
Therefore, the cost of the 5 shirts and 2 pairs of pants will be $73.
To know more about expression follow
https://brainly.com/question/12981406
#SPJ1
Determine the values of y in the equation y2 = 121.
whoever gets it right gets a crown pls help
Answers
Answer:
y = 11
Step-by-step explanation:
Let's solve your equation step-by-step.
[tex] \rightarrow \sf \: y {}^{2} =121[/tex]
Step 1: Take square root.
[tex] \sf \: y=± \sqrt{121} [/tex]
y=11 or y=−11
Write each subtraction equation as an
addition equation.
a) - 9 = 6
p) - 20 =-30
z) - (-12) = 15
x) - (-7) = -10
WILL REWARD WITH BRAINLIEST + THANKS
Answers
Answer:
a) 6+9=15
p) -30+20= -10
m) 15-12=3
X) -10-7= -17
Find the 17 th term of each sequence. a₁₈ = -5, d=12
Answers
The 17 th term of each sequence a₁₈ = -5, d=12 is [tex]a_{17}[/tex] = 187.
What is a sequence?
a₁₈ = -5, d=12
[tex]a_{17}[/tex] = a + (n-1)d
[tex]a_{17}[/tex] = -5 + (16)12
[tex]a_{17}[/tex] = 187
succession: the doing of one thing after another. A list of books is presented in alphabetical order. a succession of sonnets that is continuous or connected. a later event, outcome, or repercussion; something that happens after.
A series of numbers is an ordered list. The three dots signify moving forward in the set pattern. Each digit in the sequence is referred to as a word. The first term in the list is 1, followed by the second by 3, the third by 5, and so on.
Arithmetic sequences, geometric sequences, quadratic sequences, and special sequences are the four primary categories of distinct sequences you need to be familiar with.
To learn more about sequence from the given link:
brainly.com/question/21961097
#SPJ4
Calculate the probability of the spinner landing on a purple section of the board. what is the probability that the spinner will land on a purple section of the board? or or
Answers
The probability of purple section on spinning is 1/2.
As per the given image of question, we can see there six parts of board. Out of these, three parts of board are purple colored.
Now, the formula of probability is -
Probability = number of favorable outcomes÷total number of outcomes
Number of favorable outcomes = number of purple colored parts of board
Number of favorable outcomes = 3
Number of favorable outcomes = number of colored parts of board
Number of favorable outcomes = 6
Keep the value in formula to find the probability -
Probability = 3/6
Performing division
Probability = 1/2
Hence, the probability that the spinner will land on a purple section of the board is 1/2.
Learn more about probability -
https://brainly.com/question/24756209
#SPJ4
The complete question is -
Calculate the probability of the spinner landing on a purple section of the board. What is the probability that the spinner will land on a purple section if the board.
A) 1/6
B) 2/6 or 1/3
C) 3/6 or 1/2
i'll give brainliest
Answers
Answer:
its d
Step-by-step explanation:
