Answers
The area of square is given 72 sq.ft.
ExplanationTo determine the side of square.
Use the formula for area of square.
[tex]A=side^2[/tex]Substitute the values.
[tex]\begin{gathered} 72=side^2 \\ side=\sqrt{72} \\ side=\sqrt{2\times2\times2\times3\times3} \\ side=6\sqrt{2} \end{gathered}[/tex]AnswerHence the side length of square is
[tex]6\sqrt{2}ft[/tex]Related Questions
If you roll a standard six-sided die, what is the probability that you get a 1 or 5? Give your answer as a simplified fraction.
Answers
Step 1: Theorem
[tex]\text{Probability of an event = }\frac{N\text{umber of required outcome}}{N\text{umber of sample space}}[/tex]Step 2: Given data
Sample space = { 1, 2, 3, 4, 5, 6}
Number of sample space = 6
Event space = {1, 5}
Number of event space = 2
Step 3: Substitute to find the probability that you get 1 or 5
[tex]\begin{gathered} \text{Probability that you get 1 or 5 = }\frac{2}{6} \\ =\text{ }\frac{1}{3} \end{gathered}[/tex]Answer: 1/3
There are 6 sides. Both of those numbers are two numbers, so it would be 2/6. To simplify it, divide the top and the bottom by the same number. I divided both the numerator and the denominator by 2.
then, your answer would be 1/3
lassify the number as natural, whole, integer, rational, and/or irrational.
Select all terms that are correct.
Natural Whole Integer Rational Irrational
7√
1. Natural – square root of 7
2. Whole – square root of 7
3. Integer – square root of 7
4. Rational – square root of 7
5. Irrational – square root of 7
wich ones are the right ones
Answers
Square root of 7 is classified as an irrational number
What are irrational numbers?Proceeding from definition of rational numbers we say that rational numbers are real numbers that can be expressed as a fraction.
hence such numbers can have areal number in the numerator and a real number in the denominator.
Irrational numbers are the opposite of rational numbers such that when numbers cannot be expressed as fraction such number is said to irrational number.
The number asked in the question √7 is an example of irrational number. Numbers like this there decimal is usually continuous
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Determine the restriction of x using inequality. Show your work.
Answers
The sides of a triangle rule states that the sum of the lenghts of the sides of a triangle has to be greater than the lenght of a third side.
4x+2 +8 >18
x>2
4x+2+18>8
x>-3 (reject)
Answer: x>2
Members of a band estimated that 200
people were at their show last night. Their manager told them that 227
people had actually been at the show. What was the band's percent error?
Answers
Answer:
13.5%
Step-by-step explanation:
Using the percent error formula,
[tex]\frac{227-200}{200}=13.5\%[/tex]
the cost of a ticket to the circus is 21.00 for children and 36.00 for adults on a certain day attendance at the circus was 19,000 and the total gate revenue was 56,400 how many children and how many adults bought tickets?the number of children was______The number of adults was____
Answers
We know that
• The ticket for children costs $21.
,• The ticket for adults costs $36.
,• There were 19 people.
,• The total gate revenue is $56,400.
To solve this we have to form a system of linear equations. The first equation would be
[tex]x+y=1,900[/tex]Where x is children and y is adults, there were 19 in total.
The second equation would be
[tex]21x+36y=56,400[/tex]This equation represents the total earnings.
Let's isolate y in the first equation.
[tex]y=1,900-x[/tex]Now, we replace this expression in the second equation.
[tex]\begin{gathered} 21x+36(1,900-x)=56,400 \\ 21x+68,400-36x=56,400 \\ -15x=56,400-68,400 \\ -15x=-12,000 \\ x=\frac{-12,000}{-15} \\ x=800 \end{gathered}[/tex]There were 800 children.Then, we use this value to find y.
[tex]\begin{gathered} y=1,900-x \\ y=1,900-800 \\ y=1,100 \end{gathered}[/tex]There were 1,100 adults.Therefore, the number of children was 800, and the number of adults was 1,100.Estimate a 15% tip on a dinner bill of $32.47 by first rounding the bill amount to the nearest ten dollars.
Estimated tip: $
Answers
Answer:
$4.50
Step-by-step explanation:
First round to the nearest $10, as instructed. This will give us a bill amount of $30 once rounded. We do not round up as $32.47 is closer to $30 than 40$.
To get 15% of $30 we can simply multiply $30 by 0.15, which is the decimal equivalent of 15%.
This leaves us with an answer of $4.50.
How does the graph of f(x) = 3 cos(½x)-5 differ from the graph ofg(x) = 3 cos(x) - 5 ?A. The graph of f(x) is compressed horizontally.B. The graph of f(x) is compressed vertically.C. The graph of f(x) is stretched vertically.O D. The graph of f(x) is stretched horizontally.
Answers
Answer:
D. The graph of f(x) is stretched horizontally.
Explanation:
Given the parent function g(x) defined as follows:
[tex]g\mleft(x\mright)=3cos\mleft(x\mright)-5[/tex]If we stretch g(x) horizontally by 2, we have the function:
[tex]f(x)=3\cos (\frac{1}{2}x)-5[/tex]The correct choice is D.
Function f is represented by f(x) = 3(x + 4). Find the value of x such that
f(x) = 39
Answers
Answer:
x = 9
Step-by-step explanation:
[tex]3(x + 4) = 39[/tex]
[tex]x + 4 = 13[/tex]
[tex]x = 9[/tex]
In the coordinate plane, the point X (4, -2) is translated to the point X'(-1, 3). Under the same translation, the points Y (1, -4) and Z (2, 0) aretranslated to Y' and Z', respectively. What are the coordinates of Y' and Z'?
Answers
As given by the question
There are given that the point X (4, -2) is translated to the point X' (-1, 3).
Now,
A given point A (X, Y) when translated by the rule (h, k) maps to A' (x+h, y+k).
Then,
[tex]undefined[/tex]Try AgainYour answer is incorrect.Raina has a rectangular poster that is 20 centimeters long and17 centimeters wide. What is the area of the poster in squaremeters? Do not round your answer.0m²XSConversion facts for length- 1 meter (m)=1 meter (m)1000 millimeters (mm)100 centimeters (cm)10 decimeters (dm)1 decameter (dam)1 hectometer (hm)1 kilometer (km)=-==1 meter (m)10 meters (m)100 meters (m)1000 meters (m) I need help with this math problem.
Answers
To figure out the answer, the given parameters have to be converted to meters.
The conversion from centimeters to meters is given to be:
[tex]100\text{ cm}\to1\text{ m}[/tex]Therefore, the parameters are converted by dividing by 100 as shown below:
[tex]\begin{gathered} length=20\text{ cm}\div100=0.2\text{ m} \\ width=17\text{ cm}\div100=0.17\text{ m} \end{gathered}[/tex]Hence, the area of a rectangle formula can be applied:
[tex]area=length\times width[/tex]Substituting known values, the area is calculated as shown below:
[tex]\begin{gathered} area=0.2\times0.17 \\ area=0.034 \end{gathered}[/tex]The area is 0.034 m².
Consider the system of equations.
7j-h=9
3j+h=21
What is the value of j?
Answers
After considering the system of equations the value of j is 3.
What is a system of equations?
Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.
Types of systems of linear equations
Dependent: There are innumerable solutions for the system. The same lines are shown on the equation graphs.
Independent: There is just one solution for the system. The equations' graphs come together at a single point.
Inconsistent: There is no solution for the system. The equations' graphs are parallel lines.
Here. we have
The given system of equations is:
7j-h=9
3j+h=21
we simplify the given system of equations and get
h = 7j - 9
now, put the value of h in 3j+h=21 and get
3j + (7j-9) = 21
10j = 30
j = 3
h = 12
Hence, after considering the system of equations the value of j is 3.
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Please help me with all I’ll mark you brainly
Answers
Part a: The correct solution was found by Justin as b = -1.
Part b: The mistake made by the Christian was taking negative value as positive.
What is termed as the distributive property?The distributive property too is referred to as the distributive law of addition and subtraction. The name suggests that the operation entails dividing or transferring something. According to the distributive property, an expression in the form A × (B + C) can be settled as A × (B + C) = AB + AC. This distributive law applies to subtraction as well and is written as A (B - C) = AB - AC. This means that operand A is shared with the other two operands.For the following question,
The solution found by Justin is b = 1.
The solution found by Christian is b = -1.
The equation is given as;
10(1 + 3b) = -20
To find the solution, use distributive property.
10×1 + 10×3b = -20
30b = - 20 - 10
30b = -30
b = -1
Part a: The correct solution was found by Justin as b = -1.
Part b: The mistake made by the Christian can be that he did not consider the right hand value as negative and put it as positive value.
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One evening, Hazel and her brother each needed to use the family computer for part of their homework. They worked on their homework for 3 hours, and agreed to share the computer equally for that time.
How long did each person use the computer?
Write your answer as a proper fraction or mixed number.
Answers
Each person used the computer for [tex]\frac{3}{2}[/tex] hours.
Define fraction.A fraction is a number that is a component of a whole. By breaking a whole into a number of parts, it is evaluated. For instance, the symbol for half of a complete number or item is 12. The components of a whole or group of items are represented by fractions. A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection. The denominator is the figure that appears below the line. A fractional equation is one in which one or more of its terms have the unknown as their denominator.
Given Data
They worked on their homework for 3 hours, and agreed to share the computer equally for that time.
They share computer equally, so
[tex]\frac{time}{2}[/tex]
Fraction - [tex]\frac{3}{2}[/tex]
Each person used the computer for [tex]\frac{3}{2}[/tex] hours.
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Find the values of x and y. (90 - 4y)° (50 - 2x)° (х +5y)° (2x+3y)°
Answers
1) According to the Vertical angle Theorem
We can state that
50-2x =90-4y
-2x +4y=90
2x -4y = -90
In addition to that, since those three angles make up a straight angle:
2x +3y + x +5y +50 -2x = 180º Combine like terms
x+6y =180º
2) Now, we can set this linear system:
x +6y = 180 x-2 To eliminate x
2x -4y = -90
-2x -12y =-360
2x -4y = -90
----------------
-16y = -450
16y= 450
y = 28.12
y ≅ 28
x + 6(28)=180
x+168=180
x=12
Kumar has twice as many $1 bills as $5 bills. If the total value of all of Kumar's $1 and $5 bills together is $35, how many $1 bills does Kumar have?
Answers
Let the number of $1 bills that Kumar has = x
Let the number of $5 bills that Kumar has = y
Given that Kumar has twice as many $1 bills as $5 bills
mathematically,
[tex]x=2y\ldots\ldots\ldots\text{.}(1)[/tex]Given also that the total value of all of Kumar's $1 and $5 bills together is $35
mathematically,
[tex]\begin{gathered} x\times\text{ \$1 + }y\times\text{ \$5= \$35} \\ x+5y=35\ldots\ldots\ldots\text{.}(2) \end{gathered}[/tex]Solve equations (1) and (2) simultaneously using substitution method
[tex]\begin{gathered} x=2y\ldots\ldots\ldots\text{.}(1) \\ x+5y=35\ldots\ldots\ldots\text{.}(2) \\ \text{substitute }2y\text{ for }x\text{ in equation (2)} \\ 2y+5y=35 \\ 7y=35 \\ y=\frac{35}{7}=5 \\ To\text{ find x,} \\ \text{substitute 5 for y in equation (1)} \\ x=2(5)=10 \end{gathered}[/tex]Therefore, the number of $1 bills that Kumar has is 10
Write the standard form of the quadratic function whose graph is a parabola with the given vertex and that passes through the given point. (Let x be the independent variable and y be the dependent variable.)
Vertex:
(3, 18);
point:
(5, 21)
Answers
The standard form of the quadratic function is- 3y = x² - 6x + 27
Here, we are given-
Vertex coordinate = (3, 18)
Point on the graph = (5, 21)
The vertex form of a quadratic equation is given as-
y = a(x - h)² + k
Where h, k are the coordinates of the vertex.
a is the letter in general form of quadratic equation which is-
y = ax² + bx + c
Thus, here, h = 3, k = 18, x = 5 and y = 21
Substituting these values in the vertex form we get-
21 = a(0 - (3))² + 18
⇒ 21 - 18 = 9a
9a = 3
a = 3/9
a = 1/3
Thus, the standard form of the quadratic equation can be calculated as-
y = 1/3(x - (3))² + 18
3y = x² - 6x + 9 + 18
3y = x² - 6x + 27
Thus, the standard form of the quadratic function is- 3y = x² - 6x + 27
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What’s the answer to this problem please help me
Answers
[tex]f(g(2))=f(2)=3 \\ \\ g(f(1))=g(2)=2 \\ \\ f(f(4))=f(2)=3[/tex]
21. The table below describes a sample of 15 players in Major League Baseball, chosen from the starting lineups of teams in 2019. The table shows the team, age, position, height, and salary for each player, as well as several statistics from that season. These include the number of games they played (G), their batting average (AVE) (the proportion of their at-bats for which they got a hit), and their home runs (HR).NameTeamAgeHeightGAVEHRSalaryCedric MullinsOrioles25173 cm22.0940$557,500Tim AndersonWhite Sox26185 cm123.33518$1,400,000Christin StewartTigers25183 cm104.23310$556,400Alex GordonRoyals35185 cm150.26613$20,000,000Jonathan SchoopTwins27185 cm121.25623$7,500,000Marcus SemienAthletics29183 cm162.28533$5,900,000Yandy DiazRays28188 cm79.26714$558,400Randal GrichukBlue Jays28188 cm151.23231$5,000,000Josh DonaldsonBraves33185 cm155.25937$23,000,000Joey VottoReds36188 cm142.26115$25,000,000Cody BellingerDodgers24193 cm156.30547$605,000Ryan BraunBrewers35188 cm144.28522$19,000,000Maikel FrancoPhillies27185 cm123.23417$5,200,000Ian KinslerPadres37183 cm87.2179$3,750,000Marcell OzunaCardinals28185 cm130.24129$12,250,000Calculate the Five Number Summary for the number of games played by the players.Min: Q1 : Median: Q3 : Max:
Answers
Given:
The number of games played by 15 players are,
22, 123, 104, 150, 121, 162, 79, 151, 155, 142, 156, 144, 123, 87, 130.
The objective is to find five number summary for the number of games.
Explanation:
The five number summary are minimum value, quartile 1, median, quartile 2 and maximum value.
Increasing order:
The increasing order of the given data is,
22, 79, 87, 104, 121, 123, 123, 130, 142, 144, 150, 151, 155, 156, 162.
Minimum and Maximum value:
By considering the increasing order of the data, the minimum value is 22 and the maximum value is 162.
To find median:
The median can be calculated as the middle term of total number of data.
Since, the total number of data is 15, which is odd, then the median can be calculated as,
[tex]\begin{gathered} \text{Median}=\frac{15+1}{2} \\ =\frac{16}{2} \\ =8th\text{ term} \end{gathered}[/tex]Thus, the 8th term of increased order is 130.
To find Q1:
The quartile 1 can be defined as the middle term of the left side of the median.
Since, the left side of the median contains 7 terms, which is odd, then the quartile 1 can be calculated as,
[tex]\begin{gathered} Q1=\frac{7+1}{2} \\ =\frac{8}{2} \\ =4th\text{ term (left)} \end{gathered}[/tex]Thus, the 4th term on left side of median is 104.
To find Q3:
The quartile 3 can be defined as the middle term of the right side of the median.
Since, the right side of the median contains 7 terms, which is odd, then the quartile 3 can be calculated as,
[tex]\begin{gathered} Q3=\frac{7+1}{2} \\ =\frac{8}{2} \\ =4th\text{ term (right)} \end{gathered}[/tex]Thus, the 4th term on right side of median is 151.
Hence, the five number summary are,
Min: 22
Q1: 104
Median: 130
Q3: 151
Max: 162.
ABCand XYZ are similar triangles. The lengths of the two sides are shown. Find the lengths of the third side of each triangle
Answers
Given:
AC = 9.6
AB = 4
BC = a
XZ = y
XY = 2.5
YZ = 7.5
To find the lengths of the third side of each triangle apply the ratio for similar triangles.
Since both triangles are similar, the corresponding sides are proportional.
[tex]\frac{AC}{XZ}=\frac{AB}{XY}=\frac{BC}{YZ}[/tex]• For BC:
We have:
[tex]\frac{AB}{XY}=\frac{BC}{YZ}[/tex]Input values into the equation:
[tex]\begin{gathered} \frac{4}{2.5}=\frac{a}{7.5} \\ \\ \text{Cross multiply:} \\ 2.5(a)=7.5(4) \\ \\ 2.5a=30 \\ \\ \text{Divide both sides by 2.5:} \\ \frac{2.5a}{2.5}=\frac{30}{2.5} \\ \\ a=12 \end{gathered}[/tex]Therefore, the length of BC is 12.
• For XZ:
We have the equation:
[tex]\frac{AC}{XZ}=\frac{AB}{XY}[/tex]Input values into the equation:
[tex]\begin{gathered} \frac{9.6}{y}=\frac{4}{2.5} \\ \\ \text{Cross multiply:} \\ 4y=9.6(2.5) \\ \\ 4y=24 \\ \\ \text{Divide both sides by 4:} \\ \frac{4y}{4}=\frac{24}{4} \\ \\ y=6 \end{gathered}[/tex]Therefore, the length of XZ is 6
ANSWER:
• a = 12
• y = 6
What if Tanisha needs 40 bowls for the picnic? Explain how to write an equation with a letter for an unknown factor to find the num er of packs she should buy. Than find the unknown factor.
Answers
We know that each pack has 6 bowls and we need 40 bowls. Let x be the number of packs, then we can write:
[tex]6x=40[/tex]If we move the coefficient of x to the right hand side, we get
[tex]x=\frac{40}{6}[/tex]which gives x= 6.666.
However, the number of packs are integer numbers, so we must round up to the nearest integer. Hence, the answer is 7 packs.
using the formula above, find the surface area of a cube whise sides are all two thirds inches
Answers
Given:
The sides of the cube is, s=2/3 inches.
The objective is to find the surface area of cube.
The surface area can be calculated as,
[tex]\begin{gathered} SA=6s^2 \\ =6(\frac{2}{3})^2 \\ =6(\frac{4}{9}) \\ =2.667in^2 \end{gathered}[/tex]Hence, the surface area of the cube is 2.667 square inches.
I'm having problem solving these two equations I will include a picture
Answers
Given:
1) The equation is,
[tex]4x^3-5x^2-196x+245=0[/tex]To solve this equation,
using synthetic division,
Now solving further,
[tex]\begin{gathered} 4x^3-5x^2-196x+245=(x-7)(4x^2+23x-35) \\ take,\text{ }4x^2+23x-35=0 \\ x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ x_{}=\frac{-23\pm\sqrt{23^2-4\cdot\:4\left(-35\right)}}{2\cdot\:4} \\ x=\frac{-23\pm\:33}{2\cdot\:4} \\ x_{}=\frac{-23+33}{2\cdot\:4},\: x_{}=\frac{-23-33}{2\cdot\:4} \\ x=\frac{5}{4},\: x=-7 \end{gathered}[/tex]Hence, the solution of given equation is,
[tex]\begin{gathered} 4x^3-5x^2-196x+245=(x-7)(x-\frac{5}{4})(x+7) \\ \Rightarrow(x-7)(x-\frac{5}{4})(x+7)=0 \\ \Rightarrow x=\text{ 7,-7,}\frac{5}{4} \end{gathered}[/tex]2) the equation is,
[tex]9x^3+2x^2+9x+2=0[/tex]Now, factor the equation,
[tex]\begin{gathered} 9x^3+2x^2+9x+2=0 \\ x^2(9x+2)+(9x+2)=0 \\ (9x+2)(x^2+1)=0 \\ \Rightarrow9x+2=0,x^2+1=0 \\ \Rightarrow x=\frac{-2}{9}, \\ \text{and x}^2=-1 \\ x=\pm\sqrt[]{-1} \\ x=\pm i \end{gathered}[/tex]Hence, the solution of above equation is x= -2/9 , i , -i.
Raina wants to save money to buy a motorcycle. She invests in an ordinary annuity that earns 7.8% interest, compounded quarterly. Payments will be made at the end of each quarter
How much money will she need to pay into the annuity each quarter for the annuity to have a total value $5,000 after 3 years ?
Round your final answer to the nearest cent
Answers
AS per the compound interest, She need to pay $110.59 into the annuity each month for the annuity to have a total value of $5000 after 3 years.
Compound interest:
Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.
It differs from simple interest, where as the interest is not added to the principal while calculating the interest during the next period.
Given,
Raina wants to save money to buy a motorcycle. She invests in an ordinary annuity that earns 7.8% interest, compounded quarterly.
Payment will made each quarter.
Here we need to find the amount she need to pay into the annuity each quarter for the annuity to have a total value $5,000 after 3 years.
Here we know that,
Total value of annuity after 3 years = $5,000
Interest rate = 7.8% = 0.078 compounded quarterly.
Number of year = 3 years
First, convert R as a percent to r as a decimal
r = R/100
r = 7.8/100
r = 0.078 per year,
Then, solve the equation for P
P = A / (1 + r/n)ⁿˣ
P = 5,000.00 / (1 + 0.078/4)(4)(3)
P = 5,000.00 / (1 + 0.0195)(12)
P = $3,965.73
We know that, 3 years = 36 months.
So for one moth she need to pay,
Monthly pay = $3,965.73/36 = $110.59
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8
Find the arc length of the partial circle.
Either enter an exact answer in terms of T or use 3.14 for T ar
units
?
▷
Relating circumference and are
Answers
The semicircle's arc measures five units. In order to get 15.7 units, we could also multiply 5 by 3.14.
How do you figure out the semicircle's arc length?a symmetrical, curved structure that spans an aperture and often bears the weight of a wall, roof, or bridge.
A semicircle is the circumference or half of a circle.
The circle's radius is r=d+h=s22h+h2. The length of the entire arc is equal to the angle of the half-arc, which is equal to arc sin(s/r) or, alternatively, arctan(s/d). Multiply this angle (in radians! ), by 2r.
The half of a circle is called a semicircle.
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4x + 7 = 23 S = {3, 4, 5, 6}
Answers
Answer:
4
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*x+7-(23)=0
Pull out like factors :
A factor is a number that divides another number, leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product.
4x - 16 = 4 • (x - 4) = 0
x-4 = 0
Add 4 to both sides of the equation :
therefore, x = 4
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You are solving a measurement problem where the numbers 5.2187 x 10−3, 2.05 x 107, and 3.40 x 103 are multiplied. How many significant digits should the product have?
5
3
2
1
Answers
The number of significant digits that the product have is 3.
Significant figures are the number of digits that add to the correctness of a value, frequently a measurement. The first non-zero digit is where we start counting significant figures.
Rules for determining Significant Numbers,
Within the specified measurement or reporting resolution, non-zero digits are significant.Significant zeros occur between two significant non-zero digits (significant trapped zeros).Leading zeros (zeroes to the left of the first non-zero digit) is not important.The trailing zeros (zeroes after the final non-zero digit) in a decimal number are important if they fall within the measurement or reporting resolution.The trailing zeros (zeroes after the final non-zero digit) in a decimal number are important if they fall within the measurement or reporting resolution.Given Numbers are [tex]5.2187 * 10^{-3}, 2.05 *10^{7} and 3.40 * 10^{3}[/tex]
Now, Multiplying the given numbers,
[tex]5.2187 * 10^{-3}* 2.05 *10^{7} * 3.40 * 10^{3} =3.64 *10^{8}[/tex]
So, In 3.64 *10^8, The number of significant digits is 3.
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Answer:
answer is 3
Step-by-step explanation:
Represent the following sentence as an algebraic expression, where "a
number" is the letter x. You do not need to simplify.
7 is subtracted from the cube of a number.
Answers
The expression of the statement is x³ - 7
How to determine the representation of the statement?The statement is given as
7 is subtracted from the cube of a number.
Represent the number as x
So, we have the following representation
"7 is subtracted from the cube of a number" ⇒ 7 is subtracted from the cube of x
The cube of x can be represented as x^3
So, we have
"7 is subtracted from the cube of a number" ⇒ 7 is subtracted from x³
"7 is subtracted" means minus 7
So, we have
"7 is subtracted from the cube of a number" ⇒ x³ minus 7
Rewrite as
"7 is subtracted from the cube of a number" ⇒ x³ - 7
Hence, the expression is x³ - 7
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In a lab, a substance was heated by 6 each hour for 36 hours. What was the total change in temperature?
Answers
The definition of temperature is a measurement of how warm or cold an object or substance is in relation to a reference value.
Explain about the temperature?
An assessment of a material's or, more broadly, of any physical system's capacity to transport heat energy to another physical system. The average kinetic energy of a substance's molecules and its temperature are strongly connected.
The average kinetic energy of one atom or molecule is only revealed by the measurement of temperature. As a result, when we use the terms hot or cold to describe something, we are usually referring to something else.
Fahrenheit, Celsius, and Kelvin are the three scales that are most frequently used to measure temperature (K). Utilizing materials that expand or contract when heated or cooled, thermometers monitor temperature.
Since 6x36 is 216, the temperature climbed by 216 degrees.
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In Exercises 1 and 2, graph ACDE and its image after a reflection in the given line.1. C(3, 4), D(2, -1), E(0, -5); y-axis 2. C(1,6), D(12, 2), E(7,-8); x = 8
Answers
graph CDE and its image reflection in the given line
C (3,4)
D (2,-1)
E (0,-5)
reflection line: y-axis
If we locate these three points on a graph, we will obtain the following:
now, the reflection points in the y-axis are calculated by multiplying x * -1 ,
for example: the new location for point C is C' = (3*-1 , 4) , therefore, C ' = (-3,4), following the same logic,
D(2,-1) -> D' (-2,-1)
E(0,-5) -> E' (0,-5)
notice that E does not change its location, since it is located on the y-axis, so it doesn't have a relfection.
Now, the graph with the points reflected is the following:
The graph of y = f(x) is shown below. 10 8 6 4B A 2 D 10 10-9-8-7 -6 -5 -4 -3 -2 -1 0 1 ez 2 4 3 6 9 10 -6 -8 10 Which point could be used to find f(3)? A A B B D 1572 1001
Answers
The function is represented by the function
[tex]y=f(x)[/tex]To find f(3), we will find the point on the graph where we are given the value of x = 3:
[tex]\begin{gathered} f(3)\Rightarrow x=3 \\ y=f(3)=0 \\ f(3)=0 \end{gathered}[/tex]Therefore, the point that could be used to find f(3) is given by option A (A)
