Answer:
athour of text 2 for the first Q
athour of text 1 for the second Q
athour of text 2 for the third Q
he product (33/4) x (2/11) gives the price of one kilogram of flour.
True of flse
Answer:
nope thx for the points tho
Step-by-step explanation:
A circle has a diameter of 4.5 cm. A larger circle has a diameter of 24
cm. What is the approximate difference in the circumferences of the
two circles?
A 19.5 cm
B. 28.5 cm
C. 61 cm
D. 90 cm
The approximate difference in the circumferences of the two circles is: C. 61 cm.
How to calculate the circumference of a circle?Mathematically, the circumference of a circle can be calculated by using this mathematical expression:
C = 2πr or C = πD
Where:
C represents the circumference of a circle.D represents the diameter of a circle.r represents the radius of a circle.Substituting the given parameters into the circumference of a circle formula, the circumference of the small circle is;
Circumference of circle, C = πD
Circumference of circle, C = 3.14 × 4.5
Circumference of circle, C = 14.13 cm.
For the larger circle, we have:
Circumference of circle, C = 3.14 × 24
Circumference of circle, C = 75.36 cm.
Difference = 75.36 cm - 14.13 cm.
Difference = 61.23 ≈ 61 cm.
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how many inches is 2 1/6 ft
Answer:
26 inches
Step-by-step explanation:
You find out that 1 foot equals 12 inches
times 2 by 12 equaling 24
24 added by 2 is 26
1/6 as a decimal is 1.83 infinitive 3 which is rounded to 2 as the whole number
makes your answer 26 inches
Hope that helps
A box starts with 2 balls: 1 black and 1 white. We draw one of these balls uniformly at random, then replace it with 2 of the same color (so that the box will have 3 balls now). The process repeats. For each i = 1,2,3,..., let X; = 1 if we draw a white ball on trial i. You may use any property of the X;'s to help you answer the following questions, you just have to name the property you are using and how you are using it. Compute the...(a) probability that X, = 1. How about probability that X, = 1 instead? (b) probability that X, = 1 given X, = 1. (c) probability that in the first 4 trials you get (at least) three white balls in a row. (d) expected value of the number of white balls in 4 trials. (e) variance of the number of white balls in 4 trials.
(a) The probability that X, = 1 will be =1/2
(b) The probability that X, = 1 given X,= 1 will be =2/3
(c) The probability that in the first 4 trials you get (at least) three white balls in a row will be=2/5
(d) The expected value of the number of white balls in 4 trials will be=2
(e) The variance of the number of white balls in 4 trials will be=2
A box starts with 2 balls; [ black and 1 white, x draw on these balls are supposed to be uniformly at random then we will replace it with 2 of the same colour. The Process repeats for Each i=1,2,3..........
Let x_1=1, if we draw a white ball on trial 1
The Property of the x_1 is
The Event where The drawn fall is white =A
Let the number of white balls in 4 trials is denoted by 'x'.
\(P(x=0) P\left(A^c A^c A^c A^c\right) . \\=1 / 2 \times 3 / 3 \times 3 / 4 \times 4 / 5=1 / 5 . \\P(x-1)=P\left(A^c A^c A^c A^c\right)+P\left(A^c A^c A^c A^c\right)+P\left(A^c A^c A^c A^c\right)+P\left(A^c A^c A^c A^c\right) \\=1 / 2 \times 1 / 3 \times 1 / 4 \times 3 / 5+1 / 4 \times 1 / 3 \times 2 / 3 \times 3 / 5+1 / 2 \times 2 / 3 \times 1 / 4 \times 3 / 5+1 / 2 \times 2 / 3^2 \times 3 / 4 \times 1 / 5 . \\=\frac{1}{20}+\frac{1}{20}+\frac{1}{20}+\frac{1}{20} . \\=4 \times \frac{1}{20}=1 / 5 . \\\)
\(\therefore P(x=2)=1 / 2 \times 2 / 3 \times 1 / 4 \times 2 / 5 \times 4 / 2=6 \times 1 / 3=1 / 5 .\)
\($\begin{aligned} \therefore P(x=2) & =1 / 2 \times 2 / 3 \times 1 / 4 \times 2 / 5 \times 4 / 2=6 \times 1 / 3=1 / 5 . \\ P(x=3) & =1 / 2 \times 2 / 3 \times 3 / 4 \times 1 / 5 \times 4 / 3 . \\ & =1 / 20 \times 4=1 / 5 . \\ P(x=4) & =1 / 2 \times 2 / 3 \times 2 / 4 \times 4 / 5=P(\text { AAAA })=1 / 5 .\end{aligned}$\)
(a)
\(P\left(X_2=1\right) & =P(A A)+P\left(A^C A\right) . \\& =1 / 2 \times 2 / 3 \times 1 / 2 \times 1 / 3 . \\& =2 / 6+1 / 6=3 / 6=1 / 2 . \\P\left(X_4=1\right)= & P(A A A)+P\left(A A A A^{\prime} A\right)+P\left(A^C A A\right)+P\left(A^{\prime} A^{\prime} A\right)+P \\& \left.\quad\left(A^{\prime} A A A\right)+P\left(A^{\prime} A^{\prime} A\right)+P\left(A^A A A\right)\right) \\\)
\(= & 1 / 5+1 / 20+1 / 20+1 / 20+1 / 20+1 / 30+1 / 30+1 / 20 . \\= & 1 / 5+4 / 20+3 / 20 .=2 / 5+1 / 10 . \\= & \frac{4+1}{10}=5 / 10=1 / 2 .\)
\($\therefore$\) Probability that x_2=1 is equal with probability that x_4 >1
(b) Probability that x_2=1 given x_4=1
\($$\begin{aligned}& =P\left(x_2=1 / x_{4=1}\right)=\frac{P\left(x_2=1 \& x_4=1\right)}{P\left(x_4=1\right) .} \\& =\frac{P(A A A A)+P\left(A A A^{\prime} A\right)+P(A A A A)+P\left(A^C A A^C A\right)}{1 / 2} \\& =2 \times(1 / 5+1 / 20+1 / 20+1 / 30] \\& =2 \times[1 / 5+1 / 10 \times 1 / 30] \\& =2 \lambda\left[\frac{6+30+1}{30}\right] \\& =2 \times \frac{10}{30} .=2 / \mathrm{3} .\end{aligned}$$\)
(c) Probability that in that the nuts is 3 which is P(x=3)+P(x=4) is \(=1 / 5+1 / 5=2 / 5\)
(d) Expected volume of number of white ball is 4 trial is,
\($$\begin{gathered}{[0 \times 1 / 5+1 \times 1 / 5+2 \times 1 / 5+3 \times 1 / 5+3 \times 1 / 5+4 \times 1 / 5]} \\=\frac{1+2+3+4}{5}=10 / 5=2 .\end{gathered}$$\)
(e)
\(E\left(x^2\right) & =0^2 \times 1 / 5+1^2 \times 1 / 5+2^2 \times 1 / 5+3^2 \times 1 / 5 .+4^2+1 / 5 . \\& =\frac{1+4+9+16}{5 .} \\& =30 / 51=6 . \\\therefore var/x =E\left(x^2\right)-E[(x)]^2 . \\& =6-2^2 =6-4=2\)
\($\therefore$\) The variance of the number of white balls in 4 trails =2
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Simone invests $2,000 in an account that compounds interest quarterly and earns 9%. How many years will it take for his money to double? (Round your answer to one decimal place.)
no te puedo contestarte yo no hablo inglés
18 red marbles; 6 to 9
27 blue marbles are there in the bag.
How to find the number of blue marbles?Given,
A bag contains 18 red marbles.
The ratio of red marbles to blue marbles is 6:9
Solution:
From the given ratio of 6:9,
If 6 part is red marble, then 1 part = 18/6 =3
Therefore,
The number of blue marbles is 9*3 = 27
Thus, there are 27 blue marbles in the bag.
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Find the distance between the two points in simplest radical form for (-6,1) and (-8,-4)
Answer:
Step-by-step explanation:
Δy =-4-1 = -5
Δx =-8-(-6) = -2
distance = √((Δx)^2+(Δy)^2) = √(4+25) = √29
Answer:
\sqrt{29}
Step-by-step explanation:
\sqrt{(-6+8)²+(1+4)²}
\sqrt{4+25}
\sqrt{29}
There are 10 Superscript 9 bytes in a gigabyte. There are 10 Superscript 6 bytes in a megabyte. How many times greater is the storage capacity of a 1-gigabyte flash drive than a 1-megabyte flash drive?
3 times greater
10 times greater
1,000 times greater
3,000 times greater
A 1-gigabyte flash drive has 1000 times more storage space than a 1-megabyte flash disk. The right response is thus "1,000 times greater."
To solve this problem
We need to find the ratio between the two capacities.
Given that there are \(10^9\) bytes in a gigabyte and\(10^6\) bytes in a megabyte, we can calculate the ratio as follows:
Ratio = (1 GB) / (1 MB)
= \((10^9 bytes) / (10^6 bytes)\)
= \(10^(9 - 6)\)
=\(10^3\)
= 1000
Therefore, A 1-gigabyte flash drive has 1000 times more storage space than a 1-megabyte flash disk. The right response is thus "1,000 times greater."
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help me out with this 6 question with full sum please...
Answer:
1) 5cm
2) 15cm
3) 7.4cm
4) 12.5cm
5) 3.9cm
6) 10cm
Step-by-step explanation:
Square both values, then add the 2 values. After, with the answer, root it. This method applies for all the questions given.
For example:
For your first question:
4^2 + 3^2 = 25
√25 = 5cm
Hope this helps!
1/2 + .50 + 1/5 help ):
Answer:
the answer is 1.2 or 1 1/5
Step-by-step explanation:
Answer:
.50 = 1/2 so its 1/2 plus 1/2 plus 1/5 which you turn 1/5 and 1/2 in ten and it now 5/10 plus 5/10 plus 2/10 with equals 1 and 2/10 or otherwise 1 and 1/5
Step-by-step explanation:
Point-Slope form is used when your are NOT given which of the following. You need all 3 or slope or y-intercept or a point.
Answer:
y-intercept
Step-by-step explanation:
you only need the slope and points for point-slope form
Given the individual rates of workers, to find the combined rate of all the individuals working together you must
the individual rates.
Fill in the blank
To find the combined rate of all the individuals working together, you must add the individual rates.
How to calculate combined rate of individuals working together?When calculating the combined rate of individuals working together, you need to add up the individual rates. Each worker contributes their own rate of work or productivity, and by adding these rates together, you can determine the combined rate at which they are working collectively.
This allows you to assess the overall efficiency and output of the team or group. By summing up the individual rates, we have better understanding of the overall productivity and performance of the group.
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3. You get three summer jobs to help you save for college expenses. In your job as a cashier,
you work 20 hours per week and earn $9.50 per hour. Your second and third jobs are at a local
hospital. There, you earn $9.00 per hour as a payroll clerk and $7.00 per hour as an aide. You
always work 10 hours less per week as an aide than you do as a payroll clerk. Your total weekly
salary depends on the number of hours you work at each job.
a. Determine the input and output variables for this situation.
b. Explain how you calculate the total amount earned each week.
c. If x represents the number of hours you work as a payroll clerk, represent the number of
hours you work as an aide in terms of x.
d. Write an equation that describes the total amount you earn each week. Use x to represent
the input variable and y to represent the output variable. Simplify the expression as much
as possible.
e. If you work 12 hours as a payroll clerk, how much will you make in one week?
f. What are the practical replacement values for x? Would 8 hours at your payroll job be a
realistic replacement value? What about 50 hours?
g. When you don't work as an aide, what is your total weekly salary?
Please help!
Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.
What is a Variable?A variable is anything that may be altered in the context of a mathematical notion or experiment. Variables are frequently denoted by a single symbol. .
a. Input variables: hours worked as a cashier, payroll clerk, and assistant.
The total amount earned each week is the output variable.
b. To determine the weekly total, multiply the number of hours worked at each job by the hourly rate and put them together. As a result, the equation would be:
Total weekly wage = (hours worked as a cashier x cashier hourly rate) + (hours worked as a payroll clerk x payroll clerk hourly rate) + (hours worked as an aide x rate per hour as an aide)
c. The amount of hours worked as an assistant is always 10 hours fewer than that of a payroll clerk. Therefore, if x denotes the number of hours worked as a payroll clerk, then the number of hours worked as an assistant may be denoted as (x - 10).
d. The equation describing the total money earned each week is as follows:
(20 x 9.5) + (x x 9) + ((x - 10) x 7) = y
This expression is simplified as follows:
y = 190 + 9x - 70 + 7x
y = 16x + 120
Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.
f. The realistic replacement values for x would be determined by the maximum number of hours you may work at each job as well as the amount of time available to work. Working 8 hours as a payroll clerk may be a reasonable substitute value if you have restricted availability, but 50 hours is unlikely.
g. If you do not work as an aide, you may calculate your total weekly income by setting the number of hours worked as an aide to zero in the calculation for the total amount earned each week. This results in:
y = 16x + 120 + 0
y = 16x + 120
As a result, the total weekly wage would be determined only by the number of hours performed as a cashier and payroll clerk.
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Someone help me please and thank you
Answer: 2a < 2b
Step-by-step explanation:
We are given a statement:
a < b and b < c, then 2a ____ 2b
We can use simple numbers that make the statement true.
Where,
a = 2
b = 3
c = 4
Now lets plug it in.
2 < 3 and 3 < 4, then 2(2) ____ 2(3)
and lets simplify:
2 < 3 and 3 < 4, then 4 ____ 6
We can see that 4 is less than 6,
so as a is less than b, 2a is less than 2b.
The only thing changing is the coefficient being multiplied by the variables a and b.
Which statement about the location of √7 on the number line is true?
A= It is located at the number 7 on the number line.
B= It is located at the number 3.5 on the number line.
C= It is located between the numbers 2 and 3 on the number line.
D=It is located between the numbers 4 and 9 on the number line
Which expression represents the total surface area of the prism shown?
The expression represents the total surface area of the prism is
2 (5 * 7) + 2 (4 * 7) + 2 (4 * 5)
How to solve for the TSA of the prismThe term "TSA" stands for "Total Surface Area" of a prism. The Total Surface Area represents the sum of the areas of all the faces (including the bases) of the prism.
for the rectangular prism, the Total Surface Area can be calculated using the formula:
TSA = 2lw + 2lh + 2wh
where
l = 5
w = 4
h = 7
plugging in the values gives
TSA = 2 (5 * 7) + 2 (4 * 7) + 2 (4 * 5)
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Find the remainder when
f(x) = 8x^3 + 4x^2 – 13x + 3
is divided by 2x + 5.
A. 1241/125
B. -129/2
C. 69/125
D. 183
Dividing f(x) by 2x + 5 leaves the same remainder as division by x + 5/2. By the remainder theorem, it is equal to f (-5/2), so the remainder here is
f (-5/2) = 8 (-5/2)³ + 4 (-5/2)² - 13 (-5/2) + 3 = -129/2
Plz I need help with these two
Answer:
x<=2
11>=x
Step-by-step explanation:
x+14<=16
x<=2
Write an explicit formula for an, the nth term of the sequence 30, 35, 40
Answer:
The sequence is increasing by 5 at each step. So, we can write:
a1 = 30
a2 = 30 + 5 = 35
a3 = 30 + 25 = 40
a4 = 30 + 35 = 45
a5 = 30 + 4*5 = 50
We notice that the nth term is given by:
an = 30 + (n-1)5
So, the explicit formula for the nth term is:
an = 25n + 5
If the entire square tile has a value of 1, what is the value of each region?
Answer:
a = 1/4, b = 1/16, c = 1/8, d = 1/4
Step-by-step explanation:
What is a fraction?A fraction is a fragment of a whole number, used to define parts of a whole. The whole can be a whole object, or many different objects. The number at the top of the line is called the numerator, whereas the bottom is called the denominator.
The easiest way to solve this is to look at it as a whole.
Looking at a, you may be able to tell that it takes up a total of \(\frac{1}{4}\) of the shape. We know this because the lines stay in the very corners of the shape, and join together at the center.
Therefore, shape a takes up \(\frac{1}{4}\) of the space, 0.25 or 25%.
Before you look at the b shapes, think of the square as cut into fourths. A line going across, and diagonally. The b shapes take up \(\frac{1}{2}\) of that space, and then it is cut in half to form the two triangles. An equation to solve for the size of the triangles can look like this:
\(\frac{1}{4}\) ÷ 2 ÷ 2 = \(\frac{1}{16}\)Therefore, the sizes of shape b are \(\frac{1}{16}\), 0.06 or 6.25%
Again for shape c, think of it as cut into fourths. Before, we solved for two triangles, but what about only one? Well, all we need to do is the same equation, but without dividing it by 2.
\(\frac{1}{4}\) ÷ 2 = \(\frac{1}{8}\)Therefore, the size of shape c is \(\frac{1}{8}\), 0.125, 0.25%
The last shapes, shape d are \(\frac{1}{4}\). We know this because half the shape is already taken up, and the last \(\frac{1}{2}\) is divided by 2,
\(\frac{1}{2}\) ÷ 2 = \(\frac{1}{4}\)
Therefore, the sizes of shape d are \(\frac{1}{4}\).
A) Find an equation for the line perpendicular to the tangent line to the curve y=x^3-4x+6 at the point (2,6)
-The equation is y=
b) What is the smallest slope on the curve? At what point on the curve does the curve have this slope?
-The smallest slope on the curve is
-The curve has the smallest slope at the point
c) Find equations for the tangent lines to the curve at the points where the slope of the curve is 8.
Answer:
f(x) = x³ - 4x + 6
f'(x) = 3x² - 4
a) f'(2) = 3(2²) - 4 = 12 - 4 = 8
6 = 8(2) + b
6 = 16 + b
b = -10
y = 8x - 10
b) 3x² - 4 = 0
3x² = 4, so x = ±2/√3 = ±(2/3)√3
= ±1.1547
f(-(2/3)√3) = 9.0792
f((2/3)√3) = 2.9208
c) 3x² - 4 = 8
3x² = 12
x² = 4, so x = ±2
f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6
6 = -2(8) + b
6 = -16 + b
b = 22
y = 8x + 22
f(2) = 6
y = 8x - 10
The equation perpendicular to the tangent is y = -1/8x + 25/4
-The smallest slope on the curve is 2.92
The curve has the smallest slope at the point (1.15, 2.92)
The equations at tangent points are y = 8x + 16 and y = 8x - 16
Finding the equation perpendicular to the tangentFrom the question, we have the following parameters that can be used in our computation:
y = x³ - 4x + 6
Differentiate
So, we have
f'(x) = 3x² - 4
The point is (2, 6)
So, we have
f'(2) = 3(2)² - 4
f'(2) = 8
The slope of the perpendicular line is
Slope = -1/8
So, we have
y = -1/8(x - 2) + 6
y = -1/8x + 25/4
The smallest slope on the curveWe have
f'(x) = 3x² - 4
Set to 0
3x² - 4 = 0
Solve for x
x = √[4/3]
x = 1.15
So, we have
Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6
Smallest slope = 2.92
So, the smallest slope is 2.92 at (1.15, 2.92)
The equation of the tangent lineHere, we set f'(x) to 8
3x² - 4 = 8
Solve for x
x = ±2
Calculate y at x = ±2
y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)
y = (2)³ - 4(2) + 6 = 6: (2, 0)
The equations at these points are
y = 8x + 16
y = 8x - 16
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Write the correct name for each of the following polygons.
Answer:
a. Pentagon (The figure has 5 sides.)
b. Triangle (The figure has 3 sides.)
c. Hexagon (The figure has 6 sides.)
d. Hexagon (The figure has 6 sides.)
Step-by-step explanation:
PH
The sum of four consecutive integers is 250. What is the greatest of these integers?
The greatest of the given integers is 64.
Given that, the sum of four consecutive integers is 250. We need to find what is the greatest of these integers.
Let the consecutive integers be = x, x+1, x+2, x+3
Therefore,
x + x+1 + x+2 + x+3 = 250
4x + 6 = 250
2x + 3 = 125
2x = 122
x = 61
Therefore, the greatest integer = 61 + 3 = 64
Hence, the greatest of the given integers is 64.
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Find A − B and B − A. (Enter your answers in list form. Enter EMPTY or ∅ for the empty set.)
The main answer is that without specific values or elements for sets A and B, we cannot determine the result of A - B and B - A.
To find A - B, we need to subtract the elements in set B from set A. Similarly, to find B - A, we need to subtract the elements in set A from set B.
However, I need the specific values or elements of sets A and B to perform the calculations. Could you please provide the values or elements of the sets?In order to perform set subtraction, we need the specific elements or values of sets A and B. Set subtraction involves removing the common elements between the sets.
Let's say set A is {1, 2, 3} and set B is {2, 3, 4}. To find A - B, we remove the elements in set B from set A. Thus, A - B would be {1}.
To find B - A, we remove the elements in set A from set B. Therefore, B - A would be {4}.
Please provide the values or elements of sets A and B, and I will be able to calculate A - B and B - A accordingly.
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Solve four-sixths minus three-twelfths equals blank. A.one-sixth B.five-twelfths
C.seven-twelfths D.thirty-six seventy-two
PLS I WILL GIVE BRAINLIEST PLS
Answer:
5/12 (five-tweltfhs)
Step-by-step explanation:
4/6 - 3/12 = 5/12
4 x 2 = 8
------- -----
6 x 2 = 12
8/12 - 3/12 = 5/12
If gasoline costs 2.25 euros per liter, it will cost how much to drive 350 kilometers?
The total cost of gasoline needed would be 787.5{x}.
What is gasoline?Gasoline or petrol is a transparent, petroleum-derived flammable liquid that is used primarily as a fuel in most spark-ignited internal combustion engines. It consists mostly of organic compounds obtained by the fractional distillation of petroleum, enhanced with a variety of additivesGiven is that gasoline costs 2.25 euros per liter.
Assume that it takes {x} liters to cover 1 km. Then, we can write the total amount of gasoline required as 350{x}. So, the total cost of gasoline needed would be -
y = 2.25 × 350{x}
y = 787.5{x}
Therefore, the total cost of gasoline needed would be 787.5{x}.
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determine the area (in units2) of the region between the two curves by integrating over the y-axis. x
The area of the region between the two curves by integrating over the y-axis, x = y² and x = 9 is 18 square units.
Total Area inclosed between line and Curve:The area where the "area under the curve" is common to both the straight line and the given curve is called the bounding area. Therefore, the area common to both can be found by subtracting the area under line T from the area under curve C. The x constraint for computing the area under the curve can be found by solving the system of equations for the coordinates of the intersection of the line and the curve.
We have given the curve , x = y² and line x = 9 and bounded region is A in above graph of x = y² and line x = 9.
Now, we determine the intersection points of curve and line,
put x = 9 in curve equation we get,
y² = 9 => y = +-√9
= + 3 or -3
Total area bounded by curve and line, A = integration of curve over y from y = -3 to y= 3
= ₋₃∫³x dy = ₋₃∫³y² dy = ₋₃[ y³/3]³
= [ (3)³/3 - (-3)³/3]
= 9 + 9 = 18
Hence, the required area is 18 square unit.
Complete question:
determine the area (in units2) of the region between the two curves by integrating over the y-axis. x = y² , x = 9
Select the correct answer.
The zeros of a quadratic function are 6 and -4. Which of these choices could be the function?
ОА,
f(x) = (x-6)(x-4)
OB.
fx) = (x-6)(x + 4)
fx) = (x + 6)(x + 4)
OD.
AX) = (x + 6)(x-4)
Algebra
Zachary built a toy box in the shape of a rectangle prism with an open top. the diagram shows the toy bix and a net of the toy. whatbis the surface area in square inches of the toy box
In the given figure of ractangular prism :
Length = 13 in, height = 12 in, width = 11 in
The expression for the surface area of rectangular prism is = 2 (LW +LH + HW)
As the prism is open with top, thue reduce the area of top part : Height x Length
The expression for the surface aea of the prism = 2(LW + LH + HW) - HL
Substitute the value :
\(\begin{gathered} \text{Surface area of the rectangle prism =}2\mleft(LW+LH+HW\mright)-HL \\ \text{Surface area of the rectangle prism =}2(13\times11+13\times12+12\times11)-13\times12 \\ \text{Surface area of the rectangle prism =706 in}^2 \end{gathered}\)Surface area of rectangular prism is 706 in square.
can you answer this
Answer:
sorry but i cant.....
Step-by-step explanation: