Answer:
YES
Step-by-step explanation:
Question 12 of 22
Select the action you would use to solve = 16. Then select the property that
justifies that action.
A. Property: Multiplication property of equality.
B. Action: Add 4 to both sides.
C. Property: Addition property of equality.
D. Action: Divide both sides by 4.
E. Property: Division property of equality.
OF Action: Multiply both sides by 4.
Answer:
The correct answer is:
D. Action: Divide both sides by 4.
E. Property: Division property of equality.
What is the name of the polygon? please help
Answer:
rectangle or Quadrilateral
Step-by-step explanation:
An open-top box is to be made from a 12-inch by 24-inch piece of plastic by removing a square from each corner of the plastic and folding up the flaps on each side. What is the maximum possible volume, in cubic inches, of the box?
Answer:
The maximum possible volume = 332.685 cubic inches
Step-by-step explanation:
From the information given:
Let the height be = x
The length be = 24 - 2x
The width be = 12 - 2x
Then V = x (24 -2x) ( 12 - 2x)
V = x ( 288 -48x - 24x +4x²)
V = x(288 - 72x + 4x²)
V = 288x - 72x² + 4x³
\(\dfrac{dV}{dx}= (3x^2 - 36x+ 72)\)
\(\implies x^2 - 12x + 24 = 0\)
\(=\dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\)
\(=\dfrac{-(-12) \pm \sqrt{(-12)^2 - 4(1)(24)}}{2(1)}\)
\(=\dfrac{12 \pm \sqrt{144 - 96}}{2}\)
\(=\dfrac{12 \pm \sqrt{48}}{2}\)
where;
\(x \ne \dfrac{12 + \sqrt{48}}{2}\)
∴ \(x= \dfrac{12 - \sqrt{48}}{2}\)
x = 2.536 ( since the length cannot be negative)
So, the length x = 24 - 2(2.535) = 18.93
The width = 12 - 2(2.535) = 6.93
heigth = 2.536
∴
V = 18.93 × 6.93 × 2.536
V = 332.685 cubic inches
A box is made from a plastic sheet by removing square from each corner, maximum volume of this box will be 332.55 cubic inches.
Volume of a cuboid: Volume of a cuboid or rectangular box is given by the expression,Volume = Length × Width × Height
Given in the question,
Plastic sheet with length = 12 inches Width of the sheet = 24 inches A square has been removed from each corner to fold the box.Let the measure of each side of a square removed = x inches
Therefore, length of the box = (12 - 2x) inches
Width of the box = (24 - 2x) inches
Height of the box = x inches
Volume of the box (V) = (12 - 2x) × (24 - 2x) × (x)
V = 4x³ - 72x² + 288x
To find the maximum volume of the box differentiate the expression with respect to 'x' and equate it to zero.
V' = 12x² - 144x + 288
For V' = 0,
12x² - 144x + 288 = 0
x² - 12x + 24 = 0
\(x=\frac{12\pm\sqrt{(12)^2-4(1)(24)} }{2(1)}\)
\(x=(6\pm2\sqrt{3})\)
\(x=9.46,2.54\)
For x = 9.46,
Volume of the box = 4(9.46)³- 72(9.46)² + 288
= -2769.03 cubic inches
For x = 2.54,
Volume of the box = 4(2.54)³- 72(2.54)² + 288
= 332.55 cubic inches
Therefore, maximum volume of the box will be 332.55 cubic inches.
Learn more about the volume of a cuboid here,
https://brainly.com/question/25395659?referrer=searchResults
Factor the polynomial and use the factored form to find the real zeros.
P(x) = x⁴ - 3x³ + 2x²
x = ____________
Sketch the graph
Answer:
x = 2 or x = 1
Step-by-step explanation:
FREE BRAINLIEST!!! + 100 PTS
Compare negative one and six tenths repeating and negative five thirds using symbols <, >, or =. negative one and six tenths repeating is less than negative five thirds negative one and six tenths repeating is greater than negative five thirds negative five thirds is equal to negative one and six tenths repeating negative five thirds is greater than negative one and six tenths repeating
Answer:
-1 6/10
is greater than
- 5/3
Step-by-step explanation:
PLEASE HELP QUICK WILL GIVE BRAINLIEST
Answer:
Asymptote: y = 4
Domain: All positive real numbers x > 0
Range: 0 \(\leq \\\) y \(\leq \\\) 4
Zero: Root at zero
x-intercept: at zero
y-intercepts: none
f(1)= 2
f(9)= 3
Step-by-step explanation:
Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36
Answer:
12.
Step-by-step explanation:
if to re-write the given condition, then
\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)
it is clear, the required constant is 12 (12 per hour).
If a group of distinct objects can be arranged in 120 different ways, how many objects are there?
A. 3
B. 4
C. 5
D. 6
Answer:
B.4
Step-by-step explanation:
hope this helps:)
Answer:
Actually its option C. 5
Step-by-step explanation:
Trust me
n=120
n=5
4x3 = -5x - 21 solve for x
To solve for x in the equation 4x3 = -5x - 21, we can follow these steps:
1. Move all the terms containing x to one side of the equation, and move the constant term to the other side. We can do this by adding 5x to both sides and then adding 21 to both sides:
4x3 + 5x = -21
2. Factor out x from the left-hand side of the equation:
x(4x2 + 5) = -21
3. Divide both sides by (4x2 + 5):
x = -21 / (4x2 + 5)
So the solution for x is x = -21 / (4x2 + 5). Note that this is a rational function, which means that the value of x depends on the value of the variable x. This equation has no real solutions because the denominator is always positive, and the numerator is negative.
Graph the data in the table
At Pizza Pi, 12% of the pizzas made last week had extra cheese. If 3 pizzas had extra cheese, how many pizzas in all were made last week?
If ok please list the steps tysm!!
(a) Estimate the result of 849.275×71.241 by rounding off each number to a suitable number of significant figures.
(b) Estimate the result of 258.41÷3.96 by rounding off each number to a suitable number of significant figures.
A is 60,503.200275
B is 60,503.200275
A bagel shop sells coffee in a container shaped like a rectangular prism. A graphic designer who works for the bagel shop drew the net below to create a design for the container.
1598 cm square is the area of the container.
According to the statement
we have given that the container is rectangular prism
And Length of rectangular prism is 34cm
Width of rectangular prism is 17 cm
Height of rectangular prism is 20 cm
we use the below written formula to find the surface area
Surface area formula A=(wl+hl+hw)
To find the surface area of the container.
Substitute the values of Length, width and height in the formula then
A=(wl+hl+hw)
A=((17)(34)+(20)(34)+(20)(17))
After solving the values
A=(578+680+340)
A= 1598
So, 1598 cm square is the area of the container.
Learn more about AREA here https://brainly.com/question/6613758
#SPJ1
Please solve for in this equation
Answer:
x = 4 rounded to the nearest whole number (actually 4.0801)
Step-by-step explanation:
The triangle formed by the sides of length 0.9x, 2.8x and 12 form a right triangle with the side of length 12 as they hypotenuse
By the Pythagorean theorem
c² = a² + b² where c = hypotenuse, a and b being the other two sides
Plugging in values we get
12² = (0.9x)² + (2.8x)²
144 = 0.81x² + 7.84x² = 8.65x²
Switching sides:
8.65x²= 144
x² = 144/8.65 = 16.6473
x = √16.6473= 4.0801
Rounded to the nearest integer, x = 4
Multiply: 3,217 × 5,716
Answer:
Step-by-step explanation:
183,883,72
Answer:
18388372
Step-by-step explanation:
1 )Use the algorithm method.
3 2 1 7
× 5 7 1 6
1 1 1 4
1 9 3 0 2
3 2 1 7 0
2 1 1 4
2 2 5 1 9 0 0
1 1 3
1 6 0 8 5 0 0 0
1 1 1
1 8 3 8 8 3 7 2
==================step 2==================2 )Therefore, 3217 × 5716 = 18388372.
18388372
Please help me with number 4 I do not get why I got it wrong
Given:
\(\sqrt[]{46}\)First, we will find the perfect square roots before and after the given. In this case, we have
\(\sqrt[]{36}\text{ and }\sqrt[]{49}\)Which will give us 6 and 7, respectively. Now, looking at the given √46, we can see that is it much close to √49 (3 counts) than √36 (10 counts). With this, we know that the estimated value of √46 is closer to 7. A good estimate would be around 6.7 or 6.8.
Summary:
Two perfect squares before and after √46 are √36 and √49. Since √46 is much closer to √49, we could estimate √46 to be around 6.8.
PLS HELP ME 10PTS
An artist creates a cone-shaped sculpture for an art exhibit. If the sculpture is 7 feet tall and has a base with a circumference of 27.632 feet, what is the volume of the sculpture?
Answer: The volume of the sculpture is 141.84 cubic-feet
Step-by-step explanation: Please see the attachments below
How much work is needed to move a 40 pound box a distance of 2 feet?
????-foot pounds
Answer:
80-foot pounds
Step-by-step explanation:
As per the given data, the work needed to move the 40 pound box a distance of 2 feet is 79.86 foot-pounds.
What is work done?In physics, work is defined as the product of force and displacement, where force is the applied force and displacement is the distance moved by the object in the direction of the applied force.
To calculate the work needed to move a 40 pound box a distance of 2 feet, we need to use the formula:
Work = Force x Distance x Cos(theta)
where Force is the amount of force applied to move the box, Distance is the distance moved, and Cos(theta) is the cosine of the angle between the force vector and the direction of motion.
Assuming that the force is applied in the same direction as the motion, the angle between the force vector and the direction of motion is 0, and thus Cos(0) = 1. Therefore, the formula simplifies to:
Work = Force x Distance
We are given that the box has a weight of 40 pounds. Since weight is a type of force, we can use the formula:
Force = Mass x Acceleration due to gravity
where Mass is the mass of the box and Acceleration due to gravity is the gravitational acceleration constant, which is approximately 32.2 feet per second squared.
Converting the weight of the box from pounds to slugs (the unit of mass in the English system of units) gives:
Mass = Weight / Acceleration due to gravity = 40 pounds / 32.2 feet per second squared = 1.24 slugs
Therefore, the force required to move the box is:
Force = Mass x Acceleration due to gravity = 1.24 slugs x 32.2 feet per second squared = 39.93 pounds-force
Finally, we can calculate the work needed to move the box a distance of 2 feet as:
Work = Force x Distance = 39.93 pounds-force x 2 feet = 79.86 foot-pounds
Therefore, the work needed to move the 40 pound box a distance of 2 feet is 79.86 foot-pounds.
For more details regarding work done, visit:
https://brainly.com/question/13662169
#SPJ3
True or False The expression 1/i written in a+bi form is -i
Answer: i believe its true
Step-by-step explanation:
pls help me answer question #4
Answer:bottom line: 13 line on right: 6 1/2 Diagonal line: 13
If the lateral surface area of a cube is 100 square inches, what is the length of an edge?A. 2√5B. 4 inC. 5 inD. 10 in
To find the length of an edge
You have to know that there are 6 square surfaces on a cube.
So the equation would be 6a² because is the surface area formula and is equal to 100 square inches
Solve for the a:
6a² = 100
a² = 100/6
a= √( 100/6)
a = 4.0825 in
Rounded to the nearest tenth
a = 4 in
.There is a 1/8 chance of a spinner landing on pink. Which statement is true? A. it is certain that the spinner lands on pink. B. it is impossible for the spinner to land on pink. C. it is likely that the spinner lands on pink. D. it is unlikely that the spinner lands on pink.
Answer:
it is unlikely that the spinner lands on pink.
Step-by-step explanation:
\(1- \frac{1}{8}\\ = 7/8\)
There is 7/8 chance it is not going to land on pink
Alex’s sink was leaking, he put a cup under the leak and 1 1/2 hours later the cup was filled 1/4 of the way. How much would be filled in an hour
Answer:
11/8 or 1.375
Step-by-step explanation:
if their asking you would take the 11/2 and divided it by 1/4 then you get 1.375 but in a fraction form it would be 11/8
i hope this helps
Compare: (4x10 to the 3rd power) + (2x100) + (3x1/10) ____ (4x1000) + (2x10 to the 2nd power) + (3x1/10)
Answer:
Take your time to complete the equation. Don't rush. This is very easy you just need to be patient..
Step-by-step explanation:
We saw that about 34% of
all students received at least one referral. Suppose we have concerns about the number of
disciplines in one particular school - it seems very high, and we've had concerns from parents at the school. In one particular year, 162 out of the 340 students at that school had a referral.
a. If we selected a random sample of 340 students, would the sample proportion that are
disciplined be approximately normally distributed? Why or why not?
b.
Use the normal distribution to find the probability of randomly selecting a sample of 340
students and finding that 162 of them or more have received a referral during that
particular year.
C. Would we think that is unusual? Explain your reasoning.
The likelihood of discovering a z-score of 4.39 or higher with a regular normal distribution table or calculator is extremely low, roughly 0.00001.
what is probability ?It is a scale among 0 and 1 that represents the probability or likelihood of an event happening. In many disciplines, including statistics, physics, economics, law, and computer science, probability theory is extensively used. Many situations, such as games of chance, weather predictions, medical diagnoses, and more, can be explained using the concept of probability. The mathematical computation of probabilities, the analysis for random variables, and the conclusion-making process are all included in the study of probability.
given
The likelihood that 162 or more kids in a randomly chosen sample of 340 pupils will have received a referral in that particular year can be calculated using the normal distribution.
Calculating the sample proportion is necessary:
The predicted value of p is equal to the 0.34 underlying proportion of referred pupils. It is possible to compute the sample proportion's standard deviation as follows:
P equals sqrt[p(1-p)/n] = sqrt[0.34(1-0.34)/340] = 0.031
Calculate the z-score to determine the likelihood of locating 162 or more kids with referrals:
\(z = (0.476 - 0.34) / 0.031 = 4.39\)
The likelihood of discovering a z-score of 4.39 or higher with a regular normal distribution table or calculator is extremely low, roughly 0.00001.
To know more about probability visit:
https://brainly.com/question/11234923
#SPJ1
The graph of the absolute value parent function, f(x) = Ixl, is stretched
horizontally by a factor of 6 to create the graph of g(x). What function is g(x)?
OA. g(x) = 16x|
O B. g(x) = x + 6|
OC. g(x) = 61x|
O D. g(x) = |x|
Answer:
D IS THE ABSOLUTE ANSWER
Thus , the function is g(x) = |x/6|
What is Coordinates?A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
The given function is
f(x) = Ix|
We know that if a point is horizontally screeched with factor k then,
(x, y) = (x/k, y)
This means
g(x) = f(x/k)
In this case k =6
g(x) = f(x/6)
Now
f(x/5) = |x/6|
Hence, the function of g(x) is
g(x) = |x/6|
Learn more about the coordinate visit:
https://brainly.com/question/24394007
#SPJ7
Can someone help me with this? solving for X using cos (20 degrees)
Answer:
0.046
Step-by-step explanation:
you would divide cos 20 by 20 to get the x value
Define same side interior
Answer:
two angles that are on the same side of the transversal and on the interior of (between) the two lines.
Step-by-step explanation:
Between 9:00 am and 4:00 pm the temperature rose from 68° to 85°. What was the percent increase in temperature between 9:00 am and 4:00 pm?
Consider the market for hamburgers. New technology is invented that decreases the cooking time of hamburgers while maintaining quality. At the same time, the price of fries, a complement for hamburgers, increases. What is the effect on equilibrium price and quantity?
If the decrease in demand caused by the increased price of fries is considerable, the equilibrium amount of hamburgers may decline.
What is the demand curve?
The amount demanded of a product is determined by its price as well as many other factors, including the prices of other commodities, consumer income and tastes, and seasonal impacts.
The effect of the new technology on the market for hamburgers will depend on the market conditions before the change. In general, if the new technology leads to a decrease in the cost of production for hamburgers, it could result in a decrease in the equilibrium price of hamburgers. This is because, with a lower cost of production, firms may be willing to sell hamburgers at a lower price in order to remain competitive and attract more customers.
At the same time, if the price of fries increases, it could lead to a decrease in the demand for hamburgers. This is because fries are a complement for hamburgers, meaning that an increase in the price of fries can lead to a decrease in the demand for hamburgers.
Overall, the effect on the equilibrium quantity of hamburgers will depend on the relative strength of these two forces. If the decrease in the cost of production due to the new technology is stronger than the decrease in demand due to the higher price of fries, the equilibrium quantity of hamburgers may increase. However, if the decrease in demand due to the higher price of fries is stronger, the equilibrium quantity of hamburgers may decrease.
To learn more about the demand curve click here:
https://brainly.com/question/13828738
#SPJ1