The algebraic expression of the mathematical statement given as "The difference of a number squared and 6" is x^2 - 6
What are expressions?
Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the algebraic expression of the mathematical statement?The mathematical statement is given as
The difference of a number squared and 6
Represent the number with x
So, the mathematical statement becomes
The difference of a number squared and 6 ⇒ The difference of x squared and 6
x squared implies x^2
So, the mathematical statement becomes
The difference of a number squared and 6 ⇒ The difference of x^2 and 6
difference means minus (-)
So, the mathematical statement becomes
The difference of a number squared and 6 ⇒ x^2 - 6
Hence, the algebraic expression of the mathematical statement given as "The difference of a number squared and 6" is x^2 - 6
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Approximately, when did all the continents combine into the pangaean supercontinent?
a) 110ma
b) 420ma
c) 240ma
d) 650ma
Answer:
C) 240ma
Step-by-step explanation:
The midpoint AB is (1,2). The coordinates of A are (-3,6) Find the coordinates of B
Can someone help me with this exercise and show me the procedure of how to do it??
========================================================
Explanation:
We have these points
A = (-3,6)M = midpoint = (1,2)B = (x,y)Focus on the x coordinates for now.
The x coordinates of A and B are -3 and x in that order. Add them up and divide in half to get the x coordinate of the midpoint M
(-3+x)/2 = 1
-3+x = 2*1
-3+x = 2
x = 2+3
x = 5
Repeat for the y coordinates
(6+y)/2 = 2
6+y = 2*2
6+y = 4
y = 4-6
y = -2
Therefore, the location of point B is (5, -2)
You can use a tool like GeoGebra to check your work.
Diego worked the SAME number of hours for FIVE days at his job at the cheese factory plus an extra 7 hours on Saturday. He worked a total 52-hours last week.
Using H as a variable for the number of hours he worked each normal day, model (create an equation) for Diego’s work week.
How many hours did he work each day for his normal work week?
The total hours worked on each day of his normal work week is 7.5 hours.
How many hours did Diego work on each normal day ?The total hours worked is a function of the total hours worked during the week and the hours worked on Saturday.
The equation that represents the total hours that Diego worked is:
Total hours = total hours worked during the five days + hours worked on Saturday
52 = (5 X H) + 7 + H
52 = 5H + 7 + H
In order to determine the value of H, take the following steps:
Combine similar terms together: 52 - 7 = 5H + H
Add similar terms together: 45 = 6h
Divide both sides of the equation by 6 : H = 45 /6
H = 7.5 hours
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If two angles are congruent, this
means that they are
A. identical measurements
B. different measurements
C. always 90 degrees
the answer is A,
when 2 items are congruent it means they are the same or identical, eg "these triangles are congruent"
compute 9600 divided by 30
Answer:
9600 divided by 30 is 320
Please Mark as brainliest.
i am a 5-digit numaeral for five raised to the sixth power.what number am i?
Answer: 99,999
Step-by-step explanation:
99×78+33×66=？
How to calculate it without using a calculator?
Answer:
cool hahahahhahahahahaha ano to app nato
Answer:
Do it on Paper.99 x 78 = 7722
+ 33
= 7755
x 66
= 511830Answer = 511830Hope this helpsace that workGood luck ✅
The Transitive Property states that if a=b and b=c, then a=c. Explain how you can use the Transitive Property to show that the expressions 0 + x + 13 and 13 + x are equivalent.
According to transitive property, 0 + x + 13 = x + 13 and also x + 13 is equal to 13 + x. Thus, we can equally say that; 0 + x + 13 is equal to 13 + x
How to Interpret Transitive Property?
We are told that the Transitive Property states that if a = b and b = c, then a = c.
Now, if a = 3 for example, then by the transitive property, it means that b and c must both also be 5.
Now, we want to apply the the transitive property to show that the expressions 0 + x + 13 and 13 + x are equivalent.
Now, the expression 0 + x + 13 is equal to x + 13.
Now, according to transitive property, 0 + x + 13 = x + 13 and also x + 13 is equal to 13 + x. Thus, we can equally say that;
0 + x + 13 is equal to 13 + x
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Apply the associative and commutative properties of multiplication to write your expression as the product of groups of 2•4
Identify one reason the lower class might be more heavily represented in official crime statistics.
Lower-level offenders are more likely to be prosecuted than higher-level offenders.
What is the Working class?The working class (or laboring class) is made up of people who work in manual labor or industrial work and are paid through waged or salaried contracts. Working-class occupations include blue-collar and most pink-collar jobs (see also "Designation of workers by collar color"). Members of the working class rely solely on wage labor earnings; thus, more inclusive definitions include almost all of the working age population of industrial nations, as well as those employed in non-industrialized economies' urban areas (cities, towns, villages) or in the rural workforce. Lower-level offenders are more likely than higher-level offenders to be prosecuted.Therefore, lower-level offenders are more likely to be prosecuted than higher-level offenders.
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Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x.
Answer:
everything is going to beat
please help!! work due tmrw and im stuck on the first half
Answer: 9. x=4 ST=11
10. x=17 UW=67
Step-by-step explanation:
9.
[tex]RS+ST=RT\\RS=6x+1\ \ \ \ \ ST=x+7\ \ \ \ RT=36\\Hence,\\6x+1+x+7=36\\7x+8=36\\7x+8-8=36-8\\7x=28\\[/tex]
Divide both parts of the equation by 7:
[tex]x=4\\ST=x+7\\ST=4+7\\ST=11[/tex]
10.
[tex]UV+VW=UW\\UV=19\ \ \ \ UW=4x-20\ \ \ \ UW=6x-35\\Hence,\\19+4x-20=6x-35\\4x-1=6x-35\\4x-1-4x=6x-35-4x\\-1=2x-35\\-1+35=2x-35+35\\34=2x[/tex]
Divide both parts of the equation by 2:
[tex]17=x\\UW=6x-36\\UW=6*17-35\\UW=102-35\\UW=67[/tex]
could i get some help please <3 thank you in advance
|2x + 3) = - 5
3x-6) ≥-3
|2x + 5| ≤ - 7
Step-by-step explanation:
2x + 3 = -5
2x = -8
x = -4
3x - 6 ≥ -3
3x ≥ 3
x ≥ 1
|2x + 5| ≤ - 7
NO SOLUTION
Why?
since the absolute value is always positive, there is no way that it would be less than or equal to -7
_____ is the process of drawing conclusions about unknown characteristics of a population from which data were taken.
Answer:
Statistical inference
Step-by-step explanation:
Two model cars race in a straight line. The distance in feet of car A from the starting line is modeled by the function f(t) = 0.25t^2 + 22t - 1, where t is the time in seconds since the start of the race. The distance in feet of car B from the starting line is modeled by the function g(t) = -0.1t^2 + 25t.
Write a model for the difference in feet between car A and car B.
What is the difference in feet between car A and car B after 10 seconds? How can you tell which car is in the lead?
a. A model for the difference in feet between car A and car B is d(t) = = 0.35t² - 3t - 1.
b. The difference in feet between car A and car B after 10 seconds is 4 feet
c. To tell which car is in the lead,
If d(t) > 0, car A is in the lead but if d(t) < 0 car B is in the lead.a. Write a model for the difference in feet between car A and car B.Since the distance in feet of car A from the starting line is modeled by the function f(t) = 0.25t² + 22t - 1, where t is the time in seconds since the start of the race.
Also, the distance in feet of car B from the starting line is modeled by the function g(t) = -0.1t² + 25t.
The difference in distance between car A and car B d(t) is the difference between their distance from the starting line.
So, d(t) = f(t) - g(t)
= 0.25t² + 22t - 1 - ( -0.1t² + 25t)
= 0.25t² + 22t - 1 + 0.1t² - 25t
= 0.35t² - 3t - 1
So, a model for the difference in feet between car A and car B is d(t) = = 0.35t² - 3t - 1.
b. What is the difference in feet between car A and car B after 10 seconds?Since the difference in distance in feet between car A and car B is d(t) = 0.35t² - 3t - 1.
To find the difference in distance after 10 seconds, we substitute t = 10 into d(t).
So, d(t) = 0.35t² - 3t - 1.
d(10) = 0.35(10)² - 3(10) - 1
= 0.35(100) - 30 - 1
= 35 - 31
= 4 feet
So, the difference in feet between car A and car B after 10 seconds is 4 feet
c. How can you tell which car is in the lead?Since the difference in distance in feet between car A and car B is d(t) = 0.35t² - 3t - 1
= f(t) - g(t)
Since
f(t) = distance of car A and g(t) = distance of car B.So, to tell which car is in the lead,
If d(t) > 0, car A is in the lead but if d(t) < 0 car B is in the lead.Learn more about difference in distance in feet here:
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79 tens X 27 tens with rounding
Solve the following equation for a. a - 32 = 47
Answer:
a=79
Step-by-step explanation:
you just have to make "a" the subject of the formula so as to solve for "a"
a=47+32=79
25. Communicate and Justify Ramon says that 4 1 can be rewritten as Jamal says that 12 124* it cannot because both the numerator and denominator need to be raised to the power of 4. Who is correct? Explain. Thinking For what values of x is
Answer:
Step-by-step explanation:
Ramon is correct to write the expression (1/12)⁴ that can be rewritten as 1/12⁴.
Use the concept of exponent defined as:
Exponentiation is the process of expressing huge numbers in terms of powers. That is, exponent refers to the number of times a number has been multiplied by itself.
Given that,
Ramon says that (1/12)⁴ can be rewritten as 1/12⁴.
And, Jamal says that it cannot.
Here, the expression is,
(1/12)⁴
Apply the rule of exponent as
1⁴ / 12⁴
1 / 12⁴
Hence, Ramon is correct to write the expression.
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MP Reason Inductively A student said you
can add the same number to both terms of
a ratio to find an equivalent ratio. Is the
student correct? Explain why or why not.
The student said you.can add the same number to both terms of a ratio to find an equivalent ratio. This is wrong.
How to explain the ratio?It should be noted that equivalent ratios are the ratios that are the same.
In this case, the student said you.can add the same number to both terms of a ratio to find an equivalent ratio. It should be noted that this is incorrect.
The proper thing is to multiply.
For example, 3/4 will be 3 × 2 / 4 × 2 = 6/8. This is the equivalent fraction.
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Answer:
yeah
Step-by-step explanation:
yup
Evaluate the following expressions, assume the following declarations: int x = 4; int y = 9 / 2; int num = 6; num *= x y; what is the value of the num after expression is evaluated?
The value of the num will be 18 after the expression is evaluated.
What is an expression?Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that int x = 4; int y = 9 / 2; int num = 6; num *= x y; the value of num after the evaluation of the expression will be:-
num = x y
num = [ ( 4 x ( 9 / 2 ) ]
num = 9 x 2
num = 18
Therefore, the value of the num will be 18 after the expression is evaluated.
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Find the L.S.A and T.S.A and volume of prism. whose sides are 3, 4 and 5 and height is 20cm
The lateral surface area of prism is 240cm2, total surface area is 250cm2 of prism , the volume of prism is 100cm2.
What is lateral surface of prism?
The lateral surface area of the right triangular prism (LSA) = ah + bh + ch (or) (a + b + c) h, where a, b and c are the bases of the rectangular faces and h is the common height or the total height of the prism. Also, (a + b + c) is the perimeter of the base (triangle).
What is total surface area of prism?
The total surface area of a right prism is T. S. A. = PH+2A, where P is the base perimeter, A is the base area, and H is the height of the prism.
What is volume of prism?
The formula for the volume of a prism is given by the product of the base and height of the prism. Thus, the volume of a prism can be given as V = B × H where V is the volume, B base area, and H height of the prism.
Given that,
The sides of prism are a=3cm, b= 4cm, c= 5cm
Also given that the height of the prism is h=20cm.
The lateral surface area of prism (LSA) = ah + bh + ch
Lateral surface area of prism = (3)(20)+(4)(20) +(5)(20)
Lateral surface area of prism = 60 + 80 + 100
Lateral surface area of prism = 240 cm2
The Total surface area of prism (TSA) = ph+2a
Total surface area = (LSA) + area of 2 bases
Total surface area = 240 + 2(5)
Total surface area = 250cm2
The volume of prism = base x height
Volume of prism = 5 x 20
Volume of prism = 100cm2.
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6x +3 = 2x - 9
help please
Answer:
the equation is falseStep-by-step explanation:
6x + 3 = 2x - 9
6x - 2 x = -9 - 3
4x = -12
x = -12 : 4
x = -3
----------------
CHECK
6 * (-3) = 2* (-3) - 9
-18 = -15
the equation is false
I need help on this!!
I don’t see the lateral height, how do I solve for this??
The Bells are adding a new room to their house. The room will be a cube with a volume of 4096 ft^3. They are going to put in hardwood floors, and the contractor charges $10 per square foot. How much will the hardwood floors cost?
Question.
Rectangle ABCD is shown above. Which of the following expressions
can be used to determine the length of diagonal AC?
O√64 - w²
O√64+w²
O 64-w²
O 64+w²
The length of the diagonal AC can be calculated using equations:
= √(64 + W²).
The correct option is B.
What exactly is the Pythagorean Theorem?The Pythagorean theorem states that the total of the squares upon that legs of a right triangle equals the square upon that hypotenuse (the side opposite this same right angle)—or, in popular algebraic notation:
a² + b² = c².
According to the given data:The length of the rectangle = 8
The width of the rectangle = w
The hypotonus of the rectangle = p
Using the Pythagoras formula:
P² = L² + W²
P = √(L² + W²)
Putting the value of Length = 8
P = √(8² + W²)
P = √(64 + W²)
The length of the diagonal AC can be calculated using equations:
= √(64 + W²).
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According to descartes's rule of sign, how many possible positive and negative roots are there for the equation 0=−4x6−3x5 2x2−4x 1?
There are three possible positive and one negative root for the equation.
What is a polynomial?A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
We have been given the equation as
⇒ -4x⁶ - 3x⁵ + 2x² - 4x + 1 = 0
Check the polynomial "as is" for positive zeros, the symbol changes three times. This means that you might either have one or three positive zeros. If they are imagined, they will depart in pairs.
So changes signs 3 times: possible positive roots 3 or 3-2=1
The polynomial must be rewritten as [tex]f(-x)[/tex] for negative zeroes, or
⇒ -4x⁶ + 3x⁵ + 2x² + 4x + 1
This polynomial changes signs just once, So There will have 1 negative zero.
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The question seems to be incomplete the correct question would be
According to Descartes's rule of sign, how many possible positive and negative roots are there for the equation
-4x⁶ - 3x⁵ + 2x² - 4x + 1 = 0
What is the difference between the t568a and t568b standards? when should you use both standards?what is a patch panel used for?which cable types are immune to the effects of emi?
The termination standards used by Internet backbone infrastructure, Internet service providers, down to individual residences or companies, are T568A and T568B.
When should you employ both the T568A and T568B standards and what are their differences?
The orange and green pair order is the only distinction between T568A and T568B. Because it offers backward compatibility with both one pair and two pair USOC wiring schemes, the T568A wiring pattern is acknowledged as the ideal wiring design for this standard.What is T568B standard?
Twisted-pair network cable can be terminated in eight-pin modular connector connectors and jacks according to the wiring standards T568A and T568B. One component of the TIA/EIA-568 telecommunications cabling standards is these wiring standards.Learn more about T568B standard
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Find the sum of all multiple 3 between 5 and 64
Answer:
690
Step-by-step explanation:
The multiples of 3 between 5 and 64 are 6+9+12+15+18+21+24+27+30+33+36+39+42+45+48+51+54+57+60+63 which gives you 690.
Hope this helps, have a good day! :D
Answer: ∑=690
Step-by-step explanation:
Let's use the formulas for an arithmetic progression:
[tex]a_1=6 \ \ \ \ \ a_n=63\ \ \ \ d=3\\a_n=a_1+(n-1)d\\63=6+(n-1)3\\63=6+3n-3\\63=3+3n\\63-3=3+3n-3\\60=3n\\[/tex]
Divide both parts of the equation by 3:
[tex]20=n[/tex]
Thus,
[tex]\displaystyle\\\sum=\frac{a_1+a_n}{2} n\\\\\sum=\frac{6+63}{2}20 \\\\\sum=\frac{69*20}{2} \\\\\sum=69*10\\\\\sum=690[/tex]
hey can anyone help me out withthis question pls? we need to find the total surface area
Answer:
60000 cm squared 600 dm squared or 60 cm squared
Step-by-step explanation:
Delila is multiplying three negative numbers and determines that the solution will be negative. is she correct or incorrect?
Delila is correct as she multiplying three negative numbers and determines that the solution will be negative.
As given in the question,
Let the three negative numbers be -x , -y , and -z.
Delia is multiplying three negative numbers
Multiply First two numbers
(-x) (-y) = + x y as (-)(-) = +
Multiply by third numbers
(+x y) (-z) = -x y z as ( +)(-) = -
Therefore, Delila is correct as she multiplies three negative numbers and determines that the solution will be negative.
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Answer:
Yes, she is correct.