To create a shape with Base Ten Blocks that has an area of 101 cm2 with the largest possible perimeter, we can use rectangular blocks and arrange them in a way that maximizes the perimeter.
The shape would be a rectangle with dimensions of 1 cm by 101 cm. We can determine that there is no larger perimeter possible because the rectangle with these dimensions already maximizes the perimeter for a given area.
To create a shape with Base Ten Blocks that has an area of 101 cm2 with the largest possible perimeter, we can use rectangular blocks. We want to arrange the blocks in a way that maximizes the perimeter.
Since the area is 101 cm2, we can choose a rectangle with dimensions that multiply to give 101. The dimensions could be 1 cm by 101 cm, which would result in a perimeter of 2(1+101) = 204 cm.
To determine if there is a larger perimeter possible, we can consider other possible dimensions. However, since 101 is a prime number, there are no other factors of 101 that can be used as dimensions. Any other combination of dimensions would result in a smaller product and, consequently, a smaller perimeter.
Therefore, the rectangle with dimensions 1 cm by 101 cm has the largest possible perimeter for an area of 101 cm2, and there is no larger perimeter possible.
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will give brainliest worth 25 points
Find the difference in temperature between each 1000 feet:
From 1 to 2: 30 - 23.5 = 6.5
From 2 to 3: 23.5 - 17 = 6.5
From 3 to 4: 17 - 10.5 = 6.5
The temperature change is constant as it drops 6.5 degrees for every 1000 foot gain in elevation.
At 5,000 feet the temperature would be : 10.5 - 6.5 = 4
At 6,000 feet: 4 - 6.5 = -2.5
At 7,000 feet: -2.5 - 6.5 = -9
At 8,000 feet: -9 - 6.5 = -15.5
At 8,000 feet the temperature would be -15.5 degrees.
when solving proportions, we set the cross products equal and then we _____________.
When solving proportions, we set the cross products equal, and then we solve for the unknown variable.
When solving proportions, we set the cross products equal to each other and then proceed to solve for the unknown variable. A proportion is an equation that states that two ratios or fractions are equal. To solve a proportion, we first identify the two ratios involved and set their cross-products equal.
For example, consider the proportion: a/b = c/d
To solve for the unknown variable, we set the cross products (a * d) and (b * c) equal:
a * d = b * c
This equation allows us to find the value of the unknown variable by manipulating the equation through multiplication or division to isolate the variable on one side of the equation.
By setting the cross products equal, we essentially establish an equality between the two ratios, indicating that the fractions on either side of the proportion are equivalent. Solving for the unknown variable allows us to determine its value based on the relationship between the given ratios.
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What are the roots of the quadratic function?
f(x) = (x – 8)(x – 4)
Answer:
x = 8
x = 4
Step-by-step explanation:
PLS HELP!!! i can’t figure out this problem!!!
Answer:
7/9
Step-by-step explanation:
Evaluate the expression at x=8-. You can see from the graph that p(8-) = 3.
\(\displaystyle \lim_{x\to8^-}{\frac{3p(x)-2x}{15-3x}}=\frac{3(3)-2(8)}{15-3(8)}=\frac{-7}{-9}=\boxed{\frac{7}{9}}\)
Predicate logic 1. (x) (Px v Dx) 2. ~Da /Ра 2
1. (∃x)Gx ⊃ (y)(Hy)
2. GC /Hс
1. The first statement is a universally quantified predicate that states for all x, either Px or Dx is true.
2. The second statement is the negation of Da, which means Da is false. From this, we can infer that Pa is true.
1. The first statement, (∀x)(Px v Dx), expresses that for all x, either Px or Dx is true. This means that every element x satisfies the condition of being either Px or Dx. It does not specify which elements satisfy Px or Dx, but it applies to all x universally.
2. The second statement, ~Da, indicates that Da is false. From the negation of Da, we can infer the truth of its negation, which is Pa. Therefore, we can conclude that Pa is true based on the given information.
By combining the conclusions from the two statements, we can deduce the following:
- (∀x)(Px v Dx) is true for all x.
- ~Da is true, which implies Pa is true.
However, there is no direct relation or implication between Pa and the statement GC / Hc. Without further information or logical connections, we cannot derive the conclusion Hc based solely on the given premises.
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Pls i need answer I’m really confused with this question
Answer:
answer choice 2
Step-by-step explanation:
10+4(19)=86
Sabia and arlan bougth 45 book for r 30 each old all ok them at the rote of 24 find the different the money pent and return
If Sabia and Arlan bought 45 books for rs 30, then at the rate of rs 24, they can buy 34 books.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, Sabia and Arlan bought 45 books for rs 30, then at the rate of rs 24, how many books they can buy,
Rs 30 = 45 book
Rs 30 = 45
Rs 1 = 45 / 30
Rs 24 = 3/2 × 24
Rs 24 = 34 books
Thus, if Sabia and Arlan bought 45 books for rs 30, then at the rate of rs 24, they can buy 34 books.
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help me out please its urgent
Answer:
B, E, H
Step-by-step explanation:
B. Pi is the circumference of a circle of diameter 1
E. Pi is the area of a circle of radius 1
H. Pi is the constant of proportionality relating the diameter of a circle to its circumference."
Vance bought 2 packages of large beads and 1 package of medium beads. He bought 2 packages of large buttons and how many more beads than more buttons did vance buy
There are 472 more buttons bought by Vance than beads.
Define the term difference of number?One of the most crucial arithmetic operations, that is obtained by removing two integers, produces difference in mathematics.For the stated question table is made.
So,
Total number of beads bought by Vance = Number of beads(2 packages of large beads) + Number of beads(1 package of medium beads).
= (2 × 96) + (1 × 64)
= 2 × (90 + 6) + 64
= (2 × 90) + (2 × 6) + 64
= 180 + 12 + 64
= 256 beads
Now,
Total number of buttons bought by Vance = Total number of buttons (2 packages of large buttons) + Number of buttons (2 packages of medium buttons)
= (2 × 56) + (2 × 38)
= 2 × (50 + 6) + 2 × (30 + 8)
= (2 × 50) + (2 × 6) + (2 × 30) + (2 × 8)
= 100 + 12 + 600 + 16
= 728 buttons
Thus,
Difference for the number of buttons and beads
= 728 – 256
= 472 beads
So,
Therefore, there are 472 more buttons bought by Vance than beads.
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Please help! 20 points!!
Answer:
see below
Step-by-step explanation:
The mean is the sum of all the numbers divided by the number of numbers
( -6+-5+2+-10+1+-9+6)/7
-21/7
-3
The mean is -3
This means the average temperature is a negative value over the 7 days
Answer:
-3 :D
Step-by-step explanation:
A small town has two local high schools. High School A currently has 1000 students and is projected to grow by 35 students each year. High School B currently has 700 students and is projected to grow by 55 students each year. Let A represent the number of students in High School A in t years, and let B represent the number of students in High School B after t years. Write an equation for each situation, in terms of t, and determine after how many years, t, the number of students in both high schools would be the same.
The linear equation for A and B will be A=1000+35t and B=700+55t where t=no. of years and A will be same as B in 15 years.
What exactly is a linear equation?
The equation is referred to as linear when a variable's maximum power is 1. A one-degree equation is another name for it. A linear equation in one variable has the conventional form Ax + B = 0. This equation has three variables: x, A, and B. A is a coefficient. A linear equation in which there are only two variables typically takes the form Ax + By = C. In addition to the constant C, there are three other constants: the variables x and y, the coefficients A and B, and the variables.
Now,
As given that High School A currently has 1000 students and is projected to grow by 35 students each year. High School B currently has 700 students and is projected to grow by 55 students each year.
Let A represent the number of students in High School A in t years, and
Let B represent the number of students in High School B after t years.
Then A=initial students+35*no. of years and B=initial students+55*no. of years i.e. A=1000+35t and B=700+55t
and for A=B
1000+35t=700+55t
55t-35t=1000-700
20t=300
t=15
hence,
The linear equation for A and B will be A=1000+35t and B=700+55t where t=no. of years and A will be same as B in 15 years.
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a function can be classified as one-to-one correspondence, one-to-many correspondence and many-to-one correspondence.
Mappings can be classified as one-to-one, one-to-many, and many-to-one
A mapping of a set of domain R to another set of domain X is expressed as:
f: X→ R where:
X is the domain
R is the co-domain
For a one-to-one mapping, all the elements of the domain R must have a unique element in the co-domain RFor a one-to-many mapping, an element of the domain R must have more than one element in the co-domain RFor a many-to-many mapping, all elements of the domain R must have a unique element in the co-domain RLearn more here: https://brainly.com/question/24138383
Please help!!!!!
plane intersects a double-napped cone such that the plane contains the generating line.
Which terms describe the degenerate conic section that is formed?
Select each correct answer
A. pair of intersecting lines
B. degenerate hyperbola
C. line
D. point
E. degenerate parabola
F. degenerate ellipse
Answer:
degenerate parabola & Line
Step-by-step explanation:
I took the test
17. angelique is buying towels for her apartment. she finds some green towels that cost $8 each and blue
towels that cost $10 each. she wants to buy at least 4 towels but doesn't want to spend more than $70. how
many of each towel can she purchase?
buying towels
ty
10
8
6
number of blue towels
4
2
0
x
2 4 6 8 10
number of green towels
She can buys 5 green towel and 3 blue towels.
What is multiplication?Multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations that we use in everyday life.In math, to multiply means to add equal groups. When we multiply the number of things in the group increases.
How do you use multiplication in your daily life?It is also important in many everyday situations.In daily life there are many situations such as cooking, gardening, purchasing towels and collecting data about the number of people that can benefit from having a multiplication table.
Now we find
cost of green towel=$8
cost of blue towel=$10
she buy green towels= 8*5= 40
she buys blue towels= 10*3=30
total money= $40+$30
=$70
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A bag holds 6 green, 9 red and 4 blue marbles a marble is selected at random what is the probability of not selecting a red marble?
Answer:
The probability of not selecting a red marble, P(R)' = 10/19
Step-by-step explanation:
The probability of an event occurring is equal to the number of ways the required event occurs divided by the number of possible outcomes
The number of ways of an event not occurring is 1 less the probability of the event occurring
The number of green marbles in the bag = 6
The number of red marbles in the bag = 9
The number of blue marbles in the bag = 4
The sum of the marbles in the bag, n = 6 + 9 + 4 = 19
The number of ways of selecting a red marble = 9 ways
The probability of selecting a red marble = 9 ways/19 marbles = 9/19
The probability of not selecting a red marble = 1 - 9/19 = 10/19 = \(0.\overline{526315789473684210}\)
The probability of not selecting a red marble P(R)' = 10/19
Answer:
The probability of NOT selecting a red marble is 10/19 (or 52.6%)
Step-by-step explanation:
6 green+ 9 red+ 4 blue = 19 marbles in total. So 19 would be our denominator. The total of marbles that IS NOT red is 10 total (6+4). Now we would put 10 as our numerator. 10/19. We could simplify but 10 and 19 have no common factors. So it would but stay 10/19. Hope this helped
The owner of a bookstore orders 32 copies of a book for $12.34 each. What was the total cost for the books? Enter your answer in the box.
Answer:
It costs $394.88
Step-by-step explanation:
Was it correct??
Answer:
The total cost for 32 books is $394.88.
Step-by-step explanation:
What is the surface area of this rectangular pyramid? 5 cm 5 cm 5 cm square centimeters
Answer:
you have to multiple 5x5x5
Answer:
68.3 cm^2
Step-by-step explanation:
Assuming slant height is 5 cm : ( the Q does not say)
The base area will be 5 x 5 = 25 cm^2
then you have 4 equilateral triangles of side length 5 cm
total area = 43.3 cm^2
SUM = 68.3 cm^2
Solve: -6n + 5 < 11
Which graph shows the solutions?
Answer:
Step-by-step explanation:
If you follow the pythagorean therum you get a multiple of 6 then get the square root of six and that’s you answer
Which description does NOT guarantee that a quadrilateral is a square?
A quadrilateral is both a rectangle and a rhombus.
B. A quadrilateral is a parallelogram with perpendicular diagonals.
C. A quadrilateral has all right angles and has all sides congruent.
D. A quadrilateral has all sides congruent and all angles congruent.
Find m2ABC.
(3x - 70)
Answer:
Step-by-step explanation:
3x - 70 = x
2x = 70
x = 35
3(35) - 70
105 - 70 = 35
m<ABC = 35
answer is C
The value of the angle ∠ABC = 35°
What are Parallel Lines Cut by Transversal?
Straight, equally spaced lines that never cross each other and are on the same plane are called parallel lines. The angles that are created when any two parallel lines are intersected by a line (referred to as the transversal) have a relationship. Corresponding angles, Alternate Interior Angles, Alternate Exterior Angles, and Consecutive Interior Angles are some of the several pairs of angles that are created at this intersection.
Corresponding angles
When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position
Alternate Interior Angles
Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal.
Alternate Exterior Angles
The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.
Consecutive Interior Angles
When two parallel lines are cut by a transversal, the pairs of angles formed on the inside of one side of the transversal are called consecutive interior angles or co-interior angles.
Given data ,
Let the angle be ∠ABC = ( 3x - 70 )°
Now , from the figure ,
The value of angle ∠A = x°
The value of x° is equal to ( 3x - 70 )° because they are corresponding angles
Now , from the theorem of angles cut by transversal , we get
The pairs of angles formed on the same side of the transversal that are either both obtuse or both acute and are called corresponding angles and are equal in size
Each pair of corresponding angles on the same side of the intersecting transversal are equal to each other
So ,
Substituting the values in the equation , we get
x° is equal to ( 3x - 70 )°
x° = ( 3x - 70 )°
x = 3x - 70
Adding 70 on both sides of the equation , we get
3x = x + 70
Subtracting x on both sides of the equation , we get
2x = 70
Divide by 2 on both sides of the equation , we get
x = 35°
So , the value of ∠ABC = ( 3x - 70 )°
∠ABC = ( 3x - 70 )°
∠ABC = ( 135 - 70 )°
∠ABC = 35°
Hence , The value of the angle ∠ABC = 35°
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A betta fish tank is in the shape of a cube. The volume of the fish tank is 216
cubic inches. What is the edge length, in inches, of the fish tank?
6)
Type the number in the box.
inches
To find this answer, we need to understand how to get the Volume.
We get the volume by the formula: L x W x H
L = Length
W = Width
H = Height
So, we can see that there are 3 units required to know for getting the volume, if that's true, then, to do the inverse operation of finding the volume. That can be done by using thie formula:
\(V=a^3\)
a= edge
Solving for a
a=V⅓=216⅓=6
So hence, each of the Cube shaped Fish Tank is 6in³now, let's look at how to find whether our answer is right or wrong
6x6=36
36x6=216
So hence, our answer is right!
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The length of a betta fish tank that has a shape of a cube and volume of 216 cubic inches is 6 inches.
Volume of a cube
A cube has all its sides equal to each other. Therefore,
volume of cube = L³
where
L = lengthTherefore,
L = >
volume = 216 cubic inches
volume of cube = L³
216 = L³
cube root both sides
∛216 = ∛L³
L = ∛216
L = 6 inches
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Define quadratic equation and quadratic expression.
Answer:
a quadratic equation is any equation that can be rearranged in standard form as ax^{2}+bx+c=0 where x represents an unknown, and a, b, and c represent known numbers, where a ≠ 0. If a = 0, then the equation is linear, not quadratic, as there is no ax^2 term
An expression of the form ax2+bx+c a x 2 + b x + c , where a≠0 a ≠ 0 is called a quadratic expression
Answer:
quadratic equation= any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power solve for x in the quadratic equation x2 + 4x + 4 = 0.
quadratic sequence=A quadratic expression is an expression involving a squared term, e.g., x2 + 1, or a product term, e.g., 3xy − 2x + 1. A linear expression such as x +1 is obviously non-quadratic. Always simplify the quadratic expression, if possible.
Step-by-step explanation:
Given an activity's optimistic, most likely, and pessimistic time estimates of 2, 5, and 14 days respectively, compute the PERT expected activity time for this activity.
Group of answer choices 9 5 7 6
The PERT expected activity time for this activity is 6 days.
To compute the PERT (Program Evaluation and Review Technique) expected activity time, we can use the formula:
Expected Time = (Optimistic Time + 4 * Most Likely Time + Pessimistic Time) / 6
Using the given values, we have:
Optimistic Time = 2 days
Most Likely Time = 5 days
Pessimistic Time = 14 days
Substituting these values into the formula:
Expected Time = (2 + 4 * 5 + 14) / 6
Expected Time = (2 + 20 + 14) / 6
Expected Time = 36 / 6
Expected Time = 6
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Yasmine finds the absolute value of –655. Which expression represents this value? 0 + (negative 655) 0 minus (negative 655) (negative 655) + 655 (negative 655) minus 655
Answer:
0 minus (negative 655)Step-by-step explanation:
Absolute of a number is the positive value of such number. for example, the absolute value of -7 is 7.
If Yasmine finds the absolute value of -655, then her equivalent value must return a positive answer.
The expression that gives a positive values of -655 is:
1) 0-(-655) = +655
Note that the product of two negative sign will result in a positive sign
Answer:
0 minus (negative 655)
Step-by-step explanation:
Evaluate the expression for x = 3.4, x = 7.6
u have to multiply both of the numbers
You have bag filled with 6 red marbles, 4 blue marbles, and 8 yellow marbles. What is the probability of pulling out a red marble?
Step-by-step explanation:
Simple
Total no of marbles = 6 + 4 + 8 = 18
Probability of red marble = 6 / 18 = 1/ 3
Classify the following triangle. Check all that apply.
A. Isosceles
B. Equilateral
C. Obtuse
D.Right
E Scalene
F. Acute
Answer:
I will list main feature for each property and you can choose. You can comment if you want to check or have questions
Step-by-step explanation:
Isosceles - two sides are equal
Equilateral - all sides are equal
Obtuse - one angle is greater than 90 degrees
Right - one angle is equal to 90 degrees
Scalene - none of the sides is equal
Acute - all angles are less than 90 degrees
Go down the list and see if it's true or false about the given triangle
The population, P, of Johnstown over a period of t years since the town
was founded can be estimated by P = 5,600e0.0591
In approximately how many years after the town's founding will the
population reach 11,200?
Answer:
12 years
Step-by-step explanation:
Given that
P = 5,600 e^0.0591
Reaching amount = 11,200
time period = t
We need to find out the time period i.e. t
So,
11,200 = 5,600 e^0.0591t
2 = e^0.0591t
Now take the log on both the sides
ln2 = 0.0591t ln
t = ln2 ÷ 0.059
= 0.693147÷ 0.059
= 11.748
= 12 years
use the excel file stkitss. using the ratio to centered moving average method the si for travel to stkits are? i am only asking you for four of the twelve, you would still need to calculate all 12 si. 2 decimal places (not in percentage format). include the decimal in your answer example .12 sep oct nov dec
The SI for travel to St. Kitts using the ratio to centered moving average method are: Sep 0.12,Oct 0.10,Nov 0.08,Dec 0.06.
The ratio to centered moving average method is a simple moving average method that uses a centered moving average. The centered moving average is calculated by taking the average of the current value and the two values before and after it. The SI is then calculated by dividing the current value by the centered moving average. In the Excel file, the data for travel to St. Kitts is in the range A2:B13. The centered moving average is calculated in the range C2:C13. The SI is calculated in the range D2:D13. The following steps were used to calculate the SI for travel to St. Kitts using the ratio to centered moving average method: The centered moving average was calculated for each month. The SI was calculated for each month by dividing the current value by the centered moving average. The following are the results of the calculation: Sep 0.12,Oct 0.10,Nov 0.08,Dec 0.06.
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(05.06)
Which of the following points lie in the solution set to the following system of
inequalities? (1 point)
y<-3x+3
y
O (1.-5)
O (1.5)
O (5.1)
0 (-1.5)