A box with a hinged lid is to be made out of a rectangular piece of cardboard that measures 3 centimeters by 5 centimeters. Six squares will be cut from the cardboard: one square will be cut from each of the corners, and one square will be cut from the middle of each of the -5 centimeter sides . The remaining cardboard will be folded to form the box and its lid . Letting x represent the side-lengths (in centimeters) of the squares, to find the value of that maximizes the volume enclosed by this box. Then give the maximum volume. Round your responses to two decimal places.
Answers
Answer:
x = 0.53 cm
Maximum volume = 1.75 cm³
Step-by-step explanation:
Refer to the attached diagram:
The volume of the box is given by
[tex]V = Length \times Width \times Height \\\\[/tex]
Let x denote the length of the sides of the square as shown in the diagram.
The width of the shaded region is given by
[tex]Width = 3 - 2x \\\\[/tex]
The length of the shaded region is given by
[tex]Length = \frac{1}{2} (5 - 3x) \\\\[/tex]
So, the volume of the box becomes,
[tex]V = \frac{1}{2} (5 - 3x) \times (3 - 2x) \times x \\\\V = \frac{1}{2} (5 - 3x) \times (3x - 2x^2) \\\\V = \frac{1}{2} (15x -10x^2 -9 x^2 + 6 x^3) \\\\V = \frac{1}{2} (6x^3 -19x^2 + 15x) \\\\[/tex]
In order to maximize the volume enclosed by the box, take the derivative of volume and set it to zero.
[tex]\frac{dV}{dx} = 0 \\\\\frac{dV}{dx} = \frac{d}{dx} ( \frac{1}{2} (6x^3 -19x^2 + 15x)) \\\\\frac{dV}{dx} = \frac{1}{2} (18x^2 -38x + 15) \\\\\frac{dV}{dx} = \frac{1}{2} (18x^2 -38x + 15) \\\\0 = \frac{1}{2} (18x^2 -38x + 15) \\\\18x^2 -38x + 15 = 0 \\\\[/tex]
We are left with a quadratic equation.
We may solve the quadratic equation using quadratic formula.
The quadratic formula is given by
[tex]$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]
Where
[tex]a = 18 \\\\b = -38 \\\\c = 15 \\\\[/tex]
[tex]x=\frac{-(-38)\pm\sqrt{(-38)^2-4(18)(15)}}{2(18)} \\\\x=\frac{38\pm\sqrt{(1444- 1080}}{36} \\\\x=\frac{38\pm\sqrt{(364}}{36} \\\\x=\frac{38\pm 19.078}{36} \\\\x=\frac{38 + 19.078}{36} \: or \: x=\frac{38 - 19.078}{36}\\\\x= 1.59 \: or \: x = 0.53 \\\\[/tex]
Volume of the box at x= 1.59:
[tex]V = \frac{1}{2} (5 – 3(1.59)) \times (3 - 2(1.59)) \times (1.59) \\\\V = -0.03 \: cm^3 \\\\[/tex]
Volume of the box at x= 0.53:
[tex]V = \frac{1}{2} (5 – 3(0.53)) \times (3 - 2(0.53)) \times (0.53) \\\\V = 1.75 \: cm^3[/tex]
The volume of the box is maximized when x = 0.53 cm
Therefore,
x = 0.53 cm
Maximum volume = 1.75 cm³
Related Questions
Identify the type of hypothesis test below. H0:X=10.2, Ha:X>10.2 Select the correct answer below: The hypothesis test is two-tailed. The hypothesis test is left-tailed. The hypothesis test is right-tailed.
Answers
Answer:
The hypothesis test is right-tailed
Step-by-step explanation:
To identify a one tailed test, the claim in the case study tests for the either of the two options of greater or less than the mean value in the null hypothesis.
While for a two tailed test, the claim always test for both options: greater and less than the mean value.
Thus given this: H0:X=10.2, Ha:X>10.2, there is only the option of > in the alternative claim thus it is a one tailed hypothesis test and right tailed.
A test with the greater than option is right tailed while that with the less than option is left tailed.
Answer:
Please help with questions on my profile somebody
Step-by-step explanation:
What is the answer? I'm stuck
Answers
Answer:
[tex]g(2)=1[/tex]
Step-by-step explanation:
So first, we know that:
[tex]f(1)=g(1)+1[/tex]
And:
[tex]f(2)=2[/tex]
This means that instead of 1, if we put two in like so:
[tex]f(2)=g(2)+1[/tex]
Then we can substitute the f(2):
[tex]2=g(2)+1\\g(2)=1[/tex]
Therefore, g(2)=1.
a food snack manufacturer samples 9 bags of pretzels off the assembly line and weights their contents. If the sample mean is 14.2 oz. and teh sample devision is 0.70 oz, find the 95% confidense interval of the true mean
Answers
Answer:
13.7≤[tex]\mu[/tex]≤14.7Step-by-step explanation:
The formula for calculating the confidence interval is expressed as shown;
CI = xbar ± Z(б/√n)
xbar is the sample mean
Z is the value at 95% confidence interval
б is the standard deviation of the sample
n is the number of samples
Given xbar = 14.2, Z at 95% CI = 1.96, б = 0.70 and n = 9
Substituting this values into the formula;
CI = 14.2 ± 1.96(0.70/√9)
CI = 14.2 ± 1.96(0.70/3)
CI = 14.2 ± 1.96(0.2333)
CI = 14.2 ± 0.4573
CI = (14.2-0.4573, 14.2+0.4573)
CI = (13.7427, 14.6537)
Hence, the 95% confidence interval of the true mean is within the range
13.7≤[tex]\mu[/tex]≤14.7 (to 1 decimal place).
b) Representa el perímetro total del área acordonada por el polígono =3n + 5, n2 – 4, n2 – 4, 3n + 5 perímetro =
Answers
Responder:
2n² + 6n + 2Explicación paso a paso:
Dado un polígono con los siguientes lados 3n + 5, n² - 4, n² - 4 y 3n + 5, el perímetro del polígono dado será equivalente a la suma de todos los lados del polígono. Como el polígono está formado por 4 lados, el perímetro de la forma será;
P = s₁ + s₂ + s₃ + s₄
P = (3n + 5) + (n² - 4) + (n² - 4) + (3n + 5)
P = 3n + 5 + n² - 4 + n² - 4 + 3n + 5
Recolectando los términos similares;
P = n² + n² + 3n + 3n + 5 + 5-4-4
P = 2n² + 6n + 10-8
P = 2n² + 6n + 2
Por lo tanto, el perímetro del polígono es 2n² + 6n + 2
4. Considera la función f(x) = 2*. Determina la función g(x) que se obtiene al trasladar
f(x)
a.tres unidades a la izquierda y dos unidades hacia arriba
b. cinco unidades a la derecha y cuatro unidades hacia abajo
Answers
Answer:
a. [tex]g(x)=f(x+3)+2[/tex]
b. [tex]g(x)=f(x-5)-4[/tex]
Step-by-step explanation:
Como f(x) no está especificada correctamente, vamos a tratarla genéricamente.
Las transformaciones que se proponen son traslaciones en el eje x y en el eje y.
Cuando se traslada'la función en el eje x, la variable independiente se reemplaza por una variable auxiliar u que es equivalente a la variable original x mas el valor desplazado hacia la izquierda.
Cuando se traslada la función en el eje y, simplemente se suma una constante a la función con un valor equivalente a las unidades que la función se traslado hacia arriba (si es hacia abajo, este valor es negativo).
Entonces, para trasladar f(x) 3 unidades a la izquierda u 2 unidades hacia arriba, empezamos por reemplazar la variable independiente por u=x+3 y luego agregar una constante igual a 2:
[tex]g(x)=f(x+3)+2[/tex]
Si queremos trasladar f(x) 5 unidades a la derecha y 4 unidades hacia abajo, empezamos por reemplazar la variable independiente por u=x-5 y luego agregar una constante igual a -4:
[tex]g(x)=f(x-5)-4[/tex]
En la figura se puede ver un ejemplo de la transformación para f(x)=x^2.
Listed below are the top 10 annual salaries (in millions of dollars) of TV personalities. Find the range, variance, and standard deviation for the sample data. Given that these are the top 10 salaries, do we know anything about the variation of salaries of TV personalities in general?
42 40 39 31 22 18 15 12 11.7 10.5
____________________________________________________________________________
The Range of the sample data is $[ ] million. (Type an integer or a decimal)
The variance of the sample data is [ ]. (Round to three decimal places as needed.)
The standard deviation of the sample data is $[ ] million. (Round to three decimal places as needed)
Is the the standard deviation of the sample a good estimate of the variation of the salaries of the TV personalities in general ?
A. yes, because the standard deviation is an unbiased estimator
B. no, because the sample is not representative of the whole population.
C. no, because there is an outlier in the sample data.
D. yes, because the sample is random.
Answers
Answer:
If you do not need that actual numbers, the answer is B.
Step-by-step explanation:
In order to find a fully comprehensive study, you would need many more people than just 10, not to mention these are the top 10 people in the world.
(Brainliest would be much appreciated!)
Una masa de 16 libras viaja con una velocidad de 30 m/s . Cuál es su energía cinética?
Answers
Energía cinética = 1 / 2mv²
Donde m es la masa y v es la velocidad
De la pregunta
la masa es de 16 libras
la velocidad es de 30 m / s
16 libras es equivalente a 7.257 kg
Entonces la energía cinética es
1/2(7.257)(30)²
Que es 3265.65 juliosEspero que esto te ayude
What is the equation of the circle show in the image?
Answers
Explanation: just graph each equation
What is the domain of a function in this table? X 1,2,3,4 Y 2,4,3,2
Answers
Answer:
Domain {1,2,3,4}
Step-by-step explanation:
The domain is the values for the input, in this case it is the x values
Domain {1,2,3,4}
Which of the following is the solution to 4|x+2|≥16
Answers
Answer:
x ≥ 2 or x ≤ -6
Step-by-step explanation:
4|x + 2| ≥ 16
|x + 2| ≥ 4
x + 2 ≥ 4 or -(x + 2) ≥ 4
x ≥ 2 or x + 2 ≤ -4 → x ≤ -6
[tex]\text{Solve the absolute value}\\\\4|x+2|\geq 16\\\\\text{We can make this equation a lot simpler by dividing both sides by 4}\\\\|x+2|\geq4\\\\\text{According to the absolute value, there can be two outcomes. In this case,}\\\text{it would be either:}\\\\x+2\geq4\,\,or\,\,x+2\leq-4\\\\\text{Solve first outcome:}\\\\x+2\geq4\\\\\text{Subtract both sides by 2}\\\\x\geq2\\\\\text{Solve second outcome:}\\\\x+2\leq-4\\\\\text{Subtract 2 from both sides}\\\\x\leq-6\\\\[/tex]
[tex]\boxed{x\geq2\,\,or\,\,x\leq-6}[/tex]
A regression analysis involved 8 independent variables and 99 observations. The critical value of t for testing the significance of each of the independent variable's coefficients will have a. 7 degrees of freedom. b. 90 degrees of freedom. c. 97 degrees of freedom. d. 98 degrees of freedom.
Answers
Answer:
Option b = 90 degrees of freedom.
Step-by-step explanation:
So, in this particular Question we are given the following parameters or data or information which is going allow us to be able to solve this particular problem or Question;
=> "A regression analysis involved 8 independent variables"
=> "99 observations. "
Requirement : to determine the critical value of t for testing the significance of each of the independent variable's coefficient.
Hence, the formula below will used in Calculating or in the determination of the degree of freedom;
Degree of freedom= total number of observations - number of independent variables- 1.
Thus, slotting bin the values into the formula above, we have;
The degree of freedom = 99 - 8 - 1 = 90.
Find the value of x.
A. 6
B. 7
C. 4
D. 5
Answers
Answer:
A. 6
Step-by-step explanation:
We see that 20 is a diameter that goes through the center of the point. This means that the top half of the black line is 10 and the top half of the blue line is 8. Use the Pythagorean Theorem to find out the length of the shortest side by doing 10^2 - 8^2 = x^2. x^2 = 36; x = 6.
1
?
x + 5and
Which line is parallel to the line y =
passes through the point (-2, 1)?
x+
O y=x+3
1
y =
+2
1
y =
4
*-
oy-
1
-X
y=-2
Answers
Answer:
second option
Step-by-step explanation:
Parallel lines have the same slope, and since the slope of the given line is 1/2, we know the slope of the answer will be 1/2, which eliminates the first and last options. We know the slope and a point that belongs to the line, (-2, 1), so we can use point-slope formula to derive the equation of the line.
y - 1 = 1/2(x + 2)
y - 1 = 1/2x + 1
y = 1/2x + 2
i got 11 first but im not too sure cause sometimes it will ask me it's wrong Use the integers that are closest to the number in the middle.
Answers
Answer:
11 < √137 < 12
Step-by-step explanation:
the closest squares are 121 and 144; 11² and 12²
As soluções da equação 2X² - 7 = 7 (x-1) + 2x são:
{A) x= 2 ou x= 7}
{B) x= 0 ou x= 2}
{C) x= 0 ou x= 9}
{D) x= 2 ou x= -7/2}
{E) x= 0 ou x= 9/2}
Answers
Answer:
E) x= 0 or x= 9/2
Step-by-step explanation:
You have the following equation:
[tex]2x^2-7=7(x-1)+2x[/tex] (1)
In order to find the solutions for x of the equation (1), you simplify it and factorize in a convenient way, as follow:
[tex]2x^2-7=7x-7+2x\\\\2x^2-9x=0\\\\x(2x-9)=0[/tex] (2)
Then, by the previous factors, it is necessary that either x=0 or 2x-9 = 0.
Thus, one of the solution is x=0. The other solution is:
[tex]2x-9=0\\\\x=\frac{9}{2}[/tex]
Hence, the solutions of the equation (1) are:
E) x= 0 or x= 9/2
Copy the problem, mark the givens in the diagram, and write a Statement/Reason proof. Given: CS ≅ HR ∠CHS ≅ ∠HCR ∠CSH ≅ ∠HRC Prove: CR ≅ HS
Answers
Answer:
Step-by-step explanation:
Given: CS ≅ HR
∠CHS ≅ ∠HCR
∠CSH ≅ ∠HRC
Prove: CR ≅ HS
ΔCHS ≅ ΔHCR (Angle-Angle-Side, AAS, congruence property)
ΔICR ≅ ΔIHS (congruence property)
IS ≅ IR (similarity property)
CS ≅ HR (given)
Thus,
IC = IS + SC (addition property)
IH = IR + RH (addition property)
IC ≅ IH
Then,
CR ≅ HS (similarity property of triangles SCH and RHC)
PLEASE ANSWER FAST I WILL MARK BRAINLEIST AMD 20 POINTSBased on the figure below what is the value of X
Answers
Answer:
[tex]\boxed{9}[/tex]
Step-by-step explanation:
The two angles are complementary to each other.
That means they add up to 90 degrees.
[tex]5x+15+30=90[/tex]
[tex]5x+45=90[/tex]
[tex]5x=45[/tex]
[tex]x=9[/tex]
Answer:
x = 9
Step-by-step explanation:
So you know that the total is 90 degrees.
What you need to do is create an equation.
5x + 15 + 30 = 90
Then, solve the equation like this.
5x + 15 + 30 = 90
5x + 45 = 90
5x = 90 - 45
5x = 45
x = 45 ÷ 5
x = 9
Hope this helps! :)
What point lies on the line described by the equation below? Y+3=2 (x-1
Answers
Answer:
[tex]\boxed{(1, -3)}[/tex]
Step-by-step explanation:
[tex]y+3=2 (x-1)[/tex]
Put equation in slope-intercept form.
[tex]y=mx+b[/tex]
[tex]y=2(x-1)-3[/tex]
[tex]y=2x-2-3[/tex]
[tex]y=2x-5[/tex]
Let x = 1
[tex]y=2(1)-5[/tex]
[tex]y=2-5[/tex]
[tex]y=-3[/tex]
The point (1, -3) lies on the line.
In a study of the progeny of rabbits, Fibonacci (ca. 1170-ca. 1240) encountered the sequence now bearing his name. The sequence is defined recursively as follows.
an + 2 = an + an + 1, where a1 = 1 and a2 = 1.
(a) Write the first 12 terms of the sequence.
(b) Write the first 10 terms of the sequence defined below. (Round your answers to four decimal places.)
bn =
an + 1/
an, n ? 1.
(c) The golden ratio ? can be defined by
limn ? In a study of the progeny of rabbits, Fibonacci (cbn = ?
, where
? = 1 + 1/?. Solve this equation for ?. (Round your answer to four decimal places.)
Answers
The question in part c is not clear, nevertheless, part a and part b would be solved.
Answer:
a. The first twelve terms are:
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144.
b. The first ten terms are:
1.000, 1.000, 1.500, 1.667, 1.600, 1.625, 1.615, 1.619, 1.618, 1.618.
Step-by-step explanation:
a. Given
an + 2 = an + an + 1
where a1 = 1 and a2 = 1.
a3 = a1 + a2
= 2
a4 = a2 + a3
= 3
a5 = a3 + a4
= 5
a6 = a5 + a4
= 8
a7 = a6 + a5
= 13
a8 = a7 + a6
= 21
a9 = a8 + a7
= 34
a10 = a9 + a8
= 55
a11 = a10 + a9
= 89
a12 = a11 + a10
= 144
The first twelve terms are:
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144.
(b)
Given
bn = an+1/an
b1 = a2/a1
= 1/1 = 1.000
b2 = a3/a2
= 2/1 = 1.000
b3 = a4/a3
= 3/2 = 1.500
b4 = a5/a4
= 5/3 = 1.667
b5 = a6/a5
= 8/5 = 1.600
b6 = a7/a6
= 13/8 = 1.625
b7 = a8/a7
= 21/13 = 1.615
b8 = a9/a8
= 34/21 = 1.619
b9 = a10/a9
= 55/34 = 1.618
b10 = a11/a10
= 89/55 = 1.618
The first ten terms are:
1.000, 1.000, 1.500, 1.667, 1.600, 1.625, 1.615, 1.619, 1.618, 1.618.
It takes four painters working at the same rate 1.25 work-days to finish a job. If only three painters are available, how many work-days will it take them to finish the job, working at the same rate? Express your answer as a mixed number.
Answers
Answer:
.9375 days
Step-by-step explanation:
1.25 / 4 = 0.3125
0.3125 x 3 - 0.9375
The total cost of a sweater and a jacket was $71.55 If the price of the sweater was $3.19 less than the jacket, what was the price of the sweater? Express your answer as a simplified fraction or a decimal rounded to two places.
Answers
Answer: $34.18
Step-by-step explanation:
Let the cost of the Jacket = $x and
The cost of the sweater. = $y
Now total price. = $71.55.
So, $x + $y. = $71.55 -- 1
From the second statements, the price of the sweater was $3.19 less than the price of the jacket. Transforming that into equation
y = ( x - $3.19 )
Now substitute for y in the equation (1) above.
x + ( x - 3.19 ) = 71.55
Now solve the equation
x + x - 3.19 = 71.55
2x - 3.19. = 71.55
2x = 71.55 + 3.19
2x. = 74.74
x = 74.74/2
= $37.37. cost of the jacket
Now to determine the cost of the sweater,
$71.55 - $37.37 = $34.18
The cost of the sweater = $34.18.
If my car averages 27 miles to the gallon, how many miles can I drive on3/4 tank of gas
Answers
Answer:
20.25 miles
Step-by-step explanation:
If your car travels 27 miles on a full tank of gas, then your car will travel [tex]27\cdot\frac{3}{4}[/tex] miles on [tex]\frac{3}{4}[/tex] tank of gas.
[tex]27 \cdot 0.75 = 20.25[/tex]
I hope this helped!
Given the function below, find value (s) of x if f(x)=7
Answers
Explanation:
f(x) and y are often used interchangeably. We are asked to find the x value(s) when y = 7.
Circle the rows where 7 shows up in the y column. You should find that x = -1 and x = 1 are circled as well.
So f(x) = 7 leads to x = -1 or x = 1. In other words, f(-1) = 7 and f(1) = 7 also.
For the function given the value of x can be two, one is 1 and the other one is -1 if the f(x)=7
What is a Function?
A function relates an input to an output means it is a kind of relationship between the variable y and x. It is denoted through f(x).
What is a Variable?A variable is defined as a quantity that may assume any one of a set of values.
How to find the value of x in a function?
In the question the function is given as:
Function is denoted through f(x) and f(x) shows the value of x. We know that the value of f(x)=7 which is given in the question. So we will take the value of x in the front of 7 which is written in the y column. We have got two values in this which are 1 and -1. So they both will be the values of x.
Hence the value of x for the function given in the question are -1 and 1
Learn more about functions at https://brainly.com/question/25638609
#SPJ2
Rotate the figure 90 counterclockwise about the origin. Determine the orientation of the rotated figure and place it in the correct position (PLS HELP)
Answers
Answer:
see below
Step-by-step explanation:
The rotated location of D' is (-2, 1). The "arrow" points to the left. The attached figure is the best I could do with your distorted image.
You have to rotate the figure 90 counterclockwise about the origin.
Each character in a password is either a digit [0-9] or lowercase letter [a-z]. How many valid passwords are there with the given restriction(s)? Length is 13. No character repeats.
Answers
Answer:
2310789600
Step-by-step explanation:
10 digits + 26 letters = 36
₃₆C₁₃ = 2310789600
Hope this helps, although i am not 100 percent sure its right.
The gas mileage for a certain vehicle can be approximated by m=−0.05x2+3.5x−49, where x is the speed of the vehicle in mph. Determine the speed(s) at which the car gets 9 mpg. Round to the nearest mph.
Answers
Answer:
14mphStep-by-step explanation:
Given the gas mileage for a certain vehicle modeled by the equation m=−0.05x²+3.5x−49 where x is the speed of the vehicle in mph. In order to determine the speed(s) at which the car gets 9 mpg, we will substitute the value of m = 9 into the modeled equation and calculate x as shown;
m = −0.05x²+3.5x−49
when m= 9
9 = −0.05x²+3.5x−49
−0.05x²+3.5x−49 = 9
0.05x²-3.5x+49 = -9
Multiplying through by 100
5x²+350x−4900 = 900
Dividing through by 5;
x²+70x−980 = 180
x²+70x−980 - 180 = 0
x²+70x−1160 = 0
Using the general formula to get x;
a = 1, b = 70, c = -1160
x = -70±√70²-4(1)(-1160)/2
x = -70±√4900+4640)/2
x = -70±(√4900+4640)/2
x = -70±√9540/2
x = -70±97.7/2
x = -70+97.7/2
x = 27.7/2
x = 13.85mph
x ≈ 14 mph
Hence, the speed(s) at which the car gets 9 mpg to the nearest mph is 14mph
The half-life of iron-52 is approximately 8.3 hours. Step 1 of 3: Determine a so that A(t)=A0at describes the amount of iron-52 left after t hours, where A0 is the amount at time t=0. Round to six decimal places.
Answers
Answer:
Step-by-step explanation:
Given the half like of a material to be 8.3 hours and the amount of iron-52 left after t hours is modeled by the equation [tex]A(t) = A_0 a^{t}[/tex], we can get A(t) as shown;
At t = 8.3 hours, A(8.3) = 1/2
Initially at t = 0; A(0) = 1
Substituting this values into the function we will have;
[tex]\frac{1}{2} = 1 * a^{8.3}\\\\Taking \ the \ log \ of\ both \ sides;\\\\log(\frac{1}{2} ) = log(a^{8.3} )\\\\log(\frac{1}{2} ) = 8.3 log(a)\\\\\fr-0.30103 = 8.3 log(a)\\\Dividing\ both\ sides\ by \ 8.3\\\\\frac{-0.30103}{8.3} = log(a)\\\\log(a) = - 0.03627\\\\a =10^{-0.03627} \\\\a = 0.919878 (to\ 6dp)[/tex]
Who knows how to do this
Answers
Answer:
144 [tex] {cm}^{2} [/tex]Step-by-step explanation:
Given,
As we know that the all sides of the square are equal.
Length of a square paper = 12 cm
Area of square = ?
Now, let's find the area of square
[tex] = {l}^{2} [/tex]
plugging the value of length,
[tex] {(12)}^{2} [/tex]
Evaluate the power
[tex] = 144[/tex] square cm
Hope this helps...
Best regards!!
Volume of cylinder height=20 and B= 32????
Answers
Answer:
16076.8
Step-by-step explanation:
Volume of Cylinder=πr²h
h= 20 m
r = 32/2 = 16
=πr²h
= (3.14)(16^2)(20)
=16076.8 m^2
HOPE IT HELPS :)
PLEASE MARK IT THE BRAINLIEST!
Write 3 expressions containing exponents so that each expression equals 81
Answers
Answer:
9x9= 81
3x3x3x3=81
81 to the first power.
Step-by-step explanation:
I hope this helps in any way:)