The length of the outer perimeter of the square shown in the diagram is 24 m
Calculating the outer perimeterFrom the question, we are to calculate the outer perimeter of the square
To calculate the outer perimeter of the square, we will sum the length of the sides of the square which are outside.
From the given diagram, only two side of the given square are outside
Also,
From the given diagram, the length of one side of the square is 12 m,
Thus,
The outer perimeter of the square = 12 m + 12 m
The outer perimeter of the square = 24 m
Hence, the outer perimeter is 24 m
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a rectangular piece of cardboard measures 8 cm by 6 cm. what is the perimeter of the piece of cardboard?
Perimeter = 2(8 cm + 6 cm) = 2(14 cm) = 28 cm. We can calculate it in the following manner.
The perimeter of the rectangular piece of cardboard is the sum of all four sides. Using the given measurements of 8 cm by 6 cm, we can calculate the perimeter as follows:
Perimeter = 2(Length + Width)
Perimeter = 2(8 cm + 6 cm)
Perimeter = 2(14 cm)
Perimeter = 28 cm
Therefore, the perimeter of the rectangular piece of cardboard is 28 cm.
Hi! To calculate the perimeter of a rectangular piece of cardboard with measurements 8 cm by 6 cm, you can use the formula: Perimeter = 2(Length + Width). In this case, the length is 8 cm and the width is 6 cm.
Your answer: Perimeter = 2(8 cm + 6 cm) = 2(14 cm) = 28 cm.
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Una caja de ahorros ofrece a sus clientes un interés simple del 8% anual por una imposición de 18.000 € durante 5 años. ¿ Cual es el importe de los intereses
generados en ese tiempo €
Una caja de ahorros ofrece a sus clientes un interés simple del 8% anual por una imposición de 18.000 € durante 5 años. de los Interés es = 7,200 €
Interés = Principal × Tasa de interés × Tiempo
Dado que el principal es de 18.000 €, la tasa de interés es del 8% anual y el tiempo es de 5 años, podemos sustituir estos valores en la fórmula:
Interés = 18,000 € × 0.08 × 5
Interés = 7,200 €
Por lo tanto, el importe de los intereses generados en ese tiempo es de 7.200 €. Esto significa que al finalizar los 5 años, el cliente habrá obtenido 7.200 € adicionales como resultado de la imposición de 18.000 € con una tasa de interés del 8% anual. Es importante tener en cuenta que este cálculo se basa en la suposición de que el interés es simple y no se acumula ni se reinvierte.
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anas deposited 20000 rupees in a bank which pays 6% interest compounded annually.how much would he get back after 3 years
Answer:
After 3 years you will get 23820.32rs.
If chicken wire comes in rolls that are 48 inches long, determine the smallest amount of rolls that will be needed to fence the garden
Answer:
No solution is possible from the information provided.
Step-by-step explanation:
Formalize the following in terms of atomic propositions r, b, and w, first making clear how they correspond to the
English text. (a) Berries are ripe along the path, but rabbits have not been seen in the area.
(b) Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.
(c) If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.
(d) It is not safe to walk along the path, but rabbits have not been seen in the area and the berries along the path are ripe.
e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to
pave been seen in the area.
Walking is not safe on the path whenever rabbits have been seen in the area and berries are ripe along the path.
Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path. This is formalized by using the →(if-then) and ∧(logical and) operators.
Given information and corresponding atomic propositions:
We need to formalize the given statements in terms of atomic propositions r, b, and w, which are defined as follows:
r: Rabbits have been seen in the area.
b: Berries are ripe along the path.
w: Walking on the path is safe.
Now, let us formalize each of the given statements in terms of these atomic propositions:
a) Berries are ripe along the path, but rabbits have not been seen in the area.
b: Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.
c: If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.
d: It is not safe to walk along the path, but rabbits have not been seen in the area, and the berries along the path are ripe.
e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.
Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path.
The formalizations in terms of atomic propositions are:
a) b ∧ ¬r.b) ¬r ∧ w ∧
b.c) (b → w) ∧ (¬r → w).
d) ¬w ∧ ¬r ∧
b.e) (¬r ∧ ¬b) → w.b ∧
Berries are ripe along the path, but rabbits have not been seen in the area.
This is formalized by using the ∧(logical and) operator.
(¬r ∧ ¬b) → w: It means For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.
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10000000000 in standard form
Answer: 10^10
Step-by-step explanation:
Which could be a set of treatment and control groups for a retrospective study on the effects of endocrine disruptors on humans
A set of treatment and control groups for a retrospective study on the effects of endocrine disruptors on humans a group of children with mothers exposed to PCBs during pregnancy and a group of children who were exposed to DDT after they were born (option c).
In a retrospective study, researchers investigate the effects of endocrine disruptors on humans by analyzing past data and observing correlations. To ensure reliable findings, it is crucial to establish appropriate treatment and control groups. These groups are designed to compare individuals who have been exposed to different levels or types of endocrine disruptors, allowing researchers to assess the effects accurately. Let's explore the potential treatment and control groups for such a study.
A group of children with mothers exposed to PCBs during pregnancy and a group of children who were exposed to DDT after they were born:
In this case, the treatment group would consist of children whose mothers were exposed to PCBs during pregnancy. The control group, on the other hand, would include children who were exposed to DDT after birth. PCBs and DDT are both endocrine disruptors, but by comparing these two groups, researchers can examine the effects of prenatal exposure (PCBs) versus postnatal exposure (DDT).
Hence the correct option is (c).
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Complete Question
Which could be a set of treatment and control groups for a retrospective study on the effects of endocrine disruptors on humans?
(a) A group of farmers that are planning to spray crops with atrazine and a group of farmers that are planning to use organic pesticides,
(b) A group of construction workers that have been exposed to asbestos and a group of construction workers that have been exposed to PCBs,
(c) A group of children with mothers exposed to PCBs during pregnancy and a group of children who were exposed to DDT after they were born,
(d) Members of a town that was downwind of a commercial farm that sprayed pesticides and members of a town that was downwind of an organic farm,
(e) Humans raised when DDT was used and humans raised after DDT was no longer used.
Morgan can make 4 cupcakes with 1 cup of flour. How many cupcakes can she make with 18 cups of flour?
Answer: She can make 72 cupcakes.
Step-by-step explanation:
who can help me with some math homework
Answer:
I can help you dude if any trouble (:
What is the best Square-1?
The Square-1 is a Cubic twisty puzzle.
It is similar to the 3x3 Rubik's cube, but due to the way the pieces are cut and designed can shapeshift. It is even governed by the WCA, and uniquely the only shapeshifting puzzle in the WCA.
It's probably the hardest WCA puzzle to learn how to solve due to the restrictions in its turning and its unique design.Square-1 became an official WCA event in 2007. It is a shape-shifting puzzle with a middle slice that you can use to interchange pieces.
X-Man Volt has long been the best square-1 on the market. However, Yu-Xin has rolled out a new budget square-1, which is fully magnetic.
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please show work and solve
log2 (x – 3) = 2 - log, X
Starting with the given equation:
log2 (x – 3) = 2 - log2 (x)
We can simplify the right-hand side by using the rule that states:
loga (b) - loga (c) = loga (b/c)
Applying this rule, we get:
log2 (x – 3) = log2 (4/x)
Now, we can use the fact that loga (b) = logc (b) / logc (a) to rewrite the equation as:
log2 (x – 3) = log2 (4) - log2 (x)
log2 (x – 3) + log2 (x) = log2 (4)
Using the rule loga (b) + loga (c) = loga (b*c), we can simplify:
log2 [(x – 3) * x] = log2 (4)
Simplifying further:
x^2 – 3x = 4
Rearranging:
x^2 – 3x – 4 = 0
Factoring:
(x – 4)(x + 1) = 0
Therefore, x = 4 or x = -1. However, we need to check if these values satisfy the original equation.
For x = 4:
log2 (4 – 3) = 2 - log2 (4)
log2 (1) = 2 - 2
0 = 0
This is true, so x = 4 is a solution.
For x = -1:
log2 (-1 – 3) = 2 - log2 (-1)
log2 (-4) is undefined, so x = -1 is not a solution.
Therefore, the only solution is x = 4.
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(02.06)If 1 pint is equal to 2 cups, then 5 pints would equal ___ cups.
Answer:
If 1 pint is equal to 2 cups, then 5 pints would equal _5_ cups.
Step-by-step explanation:
Let's use a ratio to solve:
pints : cups
1 : 2
2 : 4
3 : 6
4 : 8
5 : 10
There would be 10 cups in 5 pints.
In order to solve by completing the square, what value needs to be added to both sides of the equation:
Answer:
The answer is "\((x + 8)^2 = 58\)"
Step-by-step explanation:
Let the equation is:\(x^2+16x=-6\)
by adding and subtracting 64 then:
\(x^2 + 16x + 64 = -6 + 64\\\\x^2 + 2\times x\times 8 + 64 = -6 + 64\\\\ (x + 8)(x + 8) = 58\\\\ (x + 8)2 = 58\)
in a perfectly competitive market, when the price is greater than the minimum average total cost for all firms: none of these are correct
In a perfectly competitive market, when the price is greater than the minimum average total cost for all firms, it indicates that the firms are experiencing economic profits. Here's a step-by-step explanation:
1. In a perfectly competitive market, there are numerous firms producing a homogeneous product with free entry and exit for new firms.
2. The demand curve for each firm is perfectly elastic (horizontal), which means that firms can sell any quantity of the product at the market price without affecting the price.
3. The average total cost (ATC) includes both the average variable cost (AVC) and the average fixed cost (AFC). The ATC curve is U-shaped, with the minimum ATC representing the lowest average cost per unit.
4. When the market price is greater than the minimum ATC, it means that the firms are covering all their variable and fixed costs, with additional revenue left over as profit.
5. In this scenario, the firms are earning economic profits, which can be calculated by subtracting the ATC from the market price and multiplying the result by the quantity produced.
6. Economic profits attract new firms to enter the market, leading to increased competition. This, in turn, drives down the market price, reducing economic profits.
7. Over time, as more firms enter and exit the market, the price will eventually reach a point where it is equal to the minimum ATC. This is the long-run equilibrium, where firms earn zero economic profits, covering all their costs but not earning any additional profit.
To summarize, in a perfectly competitive market, when the price is greater than the minimum average total cost for all firms, it indicates that the firms are experiencing economic profits. These profits will attract new firms to enter the market, which will eventually lead to the price falling to the minimum ATC in the long-run equilibrium.
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Find the optimal solution for the following problem. (Round your answers to 3 decimal places.)
Maximize C = 7x + 9y subject to
6x + 8y ≤ 15
9x + 8y ≤ 19
And x ≥ 0, y ≥ 0.
What is the optima value of x?
What is the optimal value of y?
To find the optimal solution, we need to determine the feasible region by graphing the given constraints and identify the corner points where the constraints intersect. However, to provide a numerical solution, we can use a linear programming solver.
Using a linear programming solver, we can input the objective function C = 7x + 9y and the constraints 6x + 8y ≤ 15 and 9x + 8y ≤ 19, along with the non-negativity constraints x ≥ 0 and y ≥ 0. The solver will then calculate the optimal values of x and y that maximize the objective function C.
The optimal values of x and y will depend on the specific values of the constraints, and the resulting values may not be whole numbers. Therefore, rounding the answers to three decimal places will provide the desired level of precision. The linear programming solver will provide the optimal values of x and y that maximize the objective function C.
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20 points!!! pls help
Answer:
C
Step-by-step explanation: c and d are not aligned unlike the rest of them.
Determine the intercepts of the line.
y = -32 + 12
Y-
X-
Answer:
y = − 20
x = none
Step-by-step explanation:
There is no X intercepts
-32 + 12 = 20
In a certain sequence, each term, starting with the 3rd term, is found by multiplying the previous two terms. What is the difference between the 6th and 3rd terms in the sequence
Answer:
-3
Step-by-step explanation:
Let the first term be a-d, second term be a and third term be a+d
d is the common difference
If each term, starting with the 3rd term, is found by multiplying the previous two terms then:
a(a-d) = a+d
a²+ad-a-d = 0
a(a+d)-1(a+d) = 0
(a+d)(a-1) = 0
a-1 = 0
a= 1
a+d = 0
1+d = 0
d = 0-1
d = -1
Get the sixth term
nth term of a sequence is expressed as
Tn = a+(n-1)d
T6 = 1+(6-1)(-1)
T6 = 1+5(-1)
T6 = 1-5
T6 = -4
Get the third term T3
T3 = a+2d
T3 = 1+2(-1)
T3 = 1-2
T3 = -1
difference between the 6th and 3rd terms in the sequence is expressed as;
Difference = T6-T3
Difference = -4-(-1)
Difference = -4+1
Difference = -3
Simplify the expression.
4 (2m— 6) — Зp — 2m+8
А. 6m— 3р — 16
В. Зmp — 16
с. 6m — Зp +2
D. 6m — 13
E. 4m — Зp – 2
Answer:
A. 6m - 3p - 16
Step-by-step explanation:
what is the general form of the equation for the given circle?
The general equation for a circle is \((x-h)^2+(y-k)^2=r^2\), where \((h,k)\) is the centre of the circle and \(r\) is the radius.
Solving the QuestionFirst, we can determine the centre of the circle.
( _ , _ )
The point directly on top is (4,7). Because it lies on the same vertical line as the centre, they have the same x-coordinate.
(4, _ )
The point directly to the right of it is (7,4). Because it lies on the same horizontal line as the centre, they have the same y-coordinate.
(4,4)
Therefore, the centre of the circle is (4,4). Plug this into the general equation:
\((x-h)^2+(y-k)^2=r^2\\(x-4)^2+(y-4)^2=r^2\)
Now, we can determine the radius of the circle.
To do this, we can calculate the distance between the centre of the circle and one of the given points that lie on the circumference.
The centre is (4,4), and one of the points is (4,7). Because they only have a difference of 3 units in the y-direction (and none in the x-direction), this means that the radius is 3 units. Plug this into the general equation:
\((x-4)^2+(y-4)^2=r^2\\(x-4)^2+(y-4)^2=3^2\\(x-4)^2+(y-4)^2=9\)
Answer\((x-4)^2+(y-4)^2=9\)
let x be binomial with n=10. the probability x equals 3.5 is _____.
This does not make sense as x is a discrete variable, so it cannot take on a value of 3.5.
A binomial variable is a discrete variable, meaning it can only take on certain values. In this case, x can take on values from 0 to 10 (inclusive). Since 3.5 is not one of these values, it does not make sense to calculate the probability that x equals 3.5.
This does not make sense as x is a discrete variable, so it cannot take on a value of 3.5.
A binomial variable is a discrete variable, meaning it can only take on certain values that are determined by the given parameters. For example, if the binomial variable x is defined as the number of heads in 10 flips of a coin, then x can only take on values from 0 to 10 (inclusive). Since 3.5 is not one of these values, it does not make sense to calculate the probability that x equals 3.5.
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3(y+3)+7(2y-8)-(y-1)=0
Answer:
We have this equation:
\(3(y+3)+7(2y-8)-(y-1)=0\)
First, we do the parenthesis:
\(3y+9+14y-56-(y-1)=0\\\)
When there is a minus (-) in front of a parenthesis, all signs change inside it:
\(3y+9+14y-56-y+1)=0\\\)
Now we operate:
\(16y-46=0\)
We add 46 on both sides:
\(16y - 46 + 46 = 0 +46\)
\(16y = 46\)
And divide 16 on both sides:
\(\frac{16y}{16}=\frac{46}{16}\)
\(\bol{x = \frac{46}{16}}\) = \(\frac{23}{8}\)
Answer:
Step-by-step explanation:
3(y+3)+7(2y-8)-(y-1)=0
3y + 9 + 14y - 56 - y + 1 = 0
16y - 46 = 0
16y - 46 + 46 = 0 + 46
16y = 46
16y/16 = 46/16
y = 23/8
$6,000 dollars is invested in two different accounts earning 3% and 5% interest. At the end of one year, the two accounts earned $220 in interest. Set up a systems of linear equations to model the amount of money invested and the interest earned.
Answer:
x + y = 6000
0.03x + 0.05y = 220
Step-by-step explanation:
Given that :
Total principal amount = $6000
Account A:
Let principal = x
Rate = 3% = 0.03
Account B:
Let principal = y
Rate = 5% = 0.05
Interest earned at after one year = $220
Amount invested :
x + y = 6000
Simple interest = principal x rate x time
Interest earned
(x * 0.03 * 1 ) + (y * 0.05 * 1) = $220
0.03x + 0.05y = 220
the null hypothesis for the single factor anova states that all means are equal.
T/F
The null hypothesis for the single factor ANOVA states that all means are equally true.
The null hypothesis for a single-factor ANOVA (analysis of variance) states that all means are equal.
The alternative hypothesis, on the other hand, suggests that at least one of the means is different from the others.
The purpose of the ANOVA test is to determine whether there is sufficient evidence to reject the null hypothesis and conclude that there are significant differences between the means. A statistical formula used to compare variances across the means (or average) of different groups.
Hence, the statement is true .
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Which of the following combinations of side lengths would NOT form a triangle with vertices X, Y, and Z? A. XY = 11 mm , YZ = 12 mm , XZ = 18 mm B. XY = 16 mm , YZ = 12 mm , XZ = 23 mm C. XY = 16 mm , YZ = 17 mm , XZ = 18 mm D. XY = 11 mm , YZ = 12 mm , XZ = 28 mm
the answer is (D) XY = 11 mm, YZ = 12 mm, XZ = 28 mm would NOT form a triangle with vertices X, Y, and Z.
How to solve the question?
To determine whether a triangle can be formed using the given side lengths, we need to apply the Triangle Inequality Theorem, which states that the sum of any two sides of a triangle must be greater than the third side.
Let's check each option:
A. XY = 11 mm, YZ = 12 mm, XZ = 18 mm
To form a triangle, we need to check whether the sum of any two sides is greater than the third side. Let's check:
XY + YZ = 11 mm + 12 mm = 23 mm > XZ = 18 mm
YZ + XZ = 12 mm + 18 mm = 30 mm > XY = 11 mm
XY + XZ = 11 mm + 18 mm = 29 mm > YZ = 12 mm
All the combinations are greater than the third side, so a triangle can be formed with these side lengths.
B. XY = 16 mm, YZ = 12 mm, XZ = 23 mm
Let's check whether the sum of any two sides is greater than the third side:
XY + YZ = 16 mm + 12 mm = 28 mm > XZ = 23 mm
YZ + XZ = 12 mm + 23 mm = 35 mm > XY = 16 mm
XY + XZ = 16 mm + 23 mm = 39 mm > YZ = 12 mm
Again, all the combinations are greater than the third side, so a triangle can be formed with these side lengths.
C. XY = 16 mm, YZ = 17 mm, XZ = 18 mm
Let's check whether the sum of any two sides is greater than the third side:
XY + YZ = 16 mm + 17 mm = 33 mm > XZ = 18 mm
YZ + XZ = 17 mm + 18 mm = 35 mm > XY = 16 mm
XY + XZ = 16 mm + 18 mm = 34 mm > YZ = 17 mm
All the combinations are greater than the third side, so a triangle can be formed with these side lengths.
D. XY = 11 mm, YZ = 12 mm, XZ = 28 mm
Let's check whether the sum of any two sides is greater than the third side:
XY + YZ = 11 mm + 12 mm = 23 mm < XZ = 28 mm
YZ + XZ = 12 mm + 28 mm = 40 mm > XY = 11 mm
XY + XZ = 11 mm + 28 mm = 39 mm > YZ = 12 mm
The first combination is less than the third side, so a triangle cannot be formed with these side lengths.
Therefore, the answer is (D) XY = 11 mm, YZ = 12 mm, XZ = 28 mm would NOT form a triangle with vertices X, Y, and Z.
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GUYSSSSSSS I NEED HELP
Answer:
3 is the answer pls like me it is the correct one ty
Step-by-step explanation:
HELP DUE IN 10 MINS! Find the missing side measurement.
Your answer should be a simplified radical or a whole number. (no decimals allowed)
x =
Answer:
9^2 + x^2 = 12^2
x^2 = 144 - 81
x^2 = 63
x = √63 = 3√7 or 8
hope that answers your question
Answer:
9^2 + x^2 = 12^2
x^2 = 144 - 81
x^2 = 63
x = √63 = 3√7 or 8
hope that answers your question
Step-by-step explanation:
Please help!!! I need an answer quick
is wine sir jacque the a beauty for the universe and
A school is holding a carnival and hopes to raise $500. Child tickets cost $3 and adult tickets cost $5. If the school sells x child tickets and y adult tickets, then the equation 3x + 5y = 500 expresses the fact that the school raised exactly $500 from ticket sales.
Answer:
x=100
y=40
Step-by-step explanation:
~ First I made 500 into a number where it can be divisable by 3. 5x40=200
500-200=300, 300 divided by 3 equals 100
A rectangle has the following vertices. Find the area of the rectangle. (-8, – 6), (4,2), (4, -6), (-8, 2) (1 point)
O 48 square units
0 144 square units
0 38 square units
O 96 square units
Answer:
D. 96
Step-by-step explanation: