Answer:
14 units
Step-by-step explanation:
Area is l*w and since the length is known, solve for width
182/13=13w/13
w=14
Answer:
14 units
Step-by-step explanation:
Given, the area of rectangle = 182 square units
length = 13 units
width = ?
By using the formula to find the area of a rectangle, we have
area of rectangle = length * width
182 = 13 * width
182/13 = width
14 units = width
the naturally made bath and body store pays $550 a month for rent and utilities. the average cost for its products to be manufactured is about $3.00 an item. if the average price for a product sold in the store is $5.50, what will the break-even point be? let x represent the number of products sold. the break-even point occurs when the cost function equals the revenue function. 550 3.00x
The break-even point is 1100 products sold. This means that if the store can sell 1100 products, it will be able to cover its costs and make a profit.
What is average ?
The average is a measure of central tendency that is calculated by adding a set of values together and dividing the sum by the number of values. It is also known as the arithmetic mean. It is a way to represent a typical value of a dataset.
The break-even point is the point at which the cost of the products equals the revenue from the sales of the products. To find the break-even point, we need to set the cost function (C(x) = 550 + 3.00x) equal to the revenue function (R(x) = 5.50x) and solve for x.
C(x) = 550 + 3.00x = R(x) = 5.50x
3.00x = 5.50x - 550
0.50x = 550
x = 1100
So the break-even point is 1100 products sold. This means that if the store can sell 1100 products, it will be able to cover its costs and make a profit.
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suppose you and i play a game where we take turn flipping a coin. the first person to flip heads wins. does it matter who goes first, and if so, would you prefer to go first?
No, it does not matter who will go first as the probability of getting both head and tail after flipping a coin is equal to ( 1 / 2 ).
As given in the question,
Number of players playing the game = 2
Number of coins to flip = One
Possible outcomes after flipping a coin = { Head , Coin }
Probability of getting a head
= (Number of favourable outcomes) / ( Total number of outcomes)
= 1 / 2
Probability of getting a tail
= 1 / 2
Either you tossed first or second chances are fifty percent.
Therefore, it does not matter who will go first as probability of getting head and tail is ( 1 / 2) after flipping a coin.
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express each of the following numbers as power of 5... (a) 0.2, (b) 125
Answer:
(a).
\(0.2 = {5}^{ \frac{1}{3} } \)
(b).
\(125 = {5}^{3} \)
the mean number of daily cups of coffee for college student respondents in a survey is 4.76 with a standard deviation of 4.18. calculate the z score associated with four cups of coffee.
The z score associated with four cups of coffee is -0.19.
To calculate the z score, we use the formula z = (x - μ) / σ,
where x is the value we want to find the z score for, μ is the mean, and σ is the standard deviation.
In this case, x = 4, μ = 4.76, and σ = 4.18. Plugging these values into the formula, we get:
z = (4 - 4.76) / 4.18
z = -0.19
Therefore, the z score associated with four cups of coffee is -0.19.
Hence, The z-score of -0.182 represents how many standard deviations away 4 cups of coffee is from the mean number of daily cups of coffee for college student respondents in the survey.
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Is it possible to prove that the triangles are congruent by using the AAS congruence theorem?
Yes, it is possible to prove that two triangles are congruent by using the AAS congruence theorem.
The AAS congruence theorem states that if two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent. This theorem can be used to prove that two triangles are congruent if two of the angles in the triangle and the side between them are congruent to two angles and the side between them of the other triangle. To prove congruence using the AAS congruence theorem, it is important to use the right angle and side measurements to ensure that the two triangles are congruent. If the measurements are correct, then the two triangles will be congruent.
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Yes, it is possible to prove that two triangles are congruent by using the AAS congruence theorem.
The AAS congruence theorem
it states that if two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent.
This theorem can be used to prove that two triangles are congruent if two of the angles in the triangle and the side between them are congruent to two angles and the side between them of the other triangle.
To prove congruence using the AAS congruence theorem, it is important to use the right angle and side measurements to ensure that the two triangles are congruent. If the measurements are correct, then the two triangles will be congruent.
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which equation represents the distance (d) tom can walk for any given amount of time (t)?
Answer:
\( \frac{d}{t} = s\)
Step-by-step explanation:
d= the distance walked by Tom
t=the time he took to walk the distance
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which orderd pair is a solution to the system of solving equations ? y=2 2x + y =8
Answer:
(3,2)
Step-by-step explanation:
we know y=2, so we plug y into 2x+y=8
2x+2=8
2x=8-2
2x=6
x=6/2
x=3
so...
x=3 and y=2
(3,2)
I don’t understand this, 4w+9=57
Answer:
w = 12
Step-by-step explanation:
4w + 9 = 57
4w = 57 - 9
4w = 48
w = 48/4
w = 12
I hope it helps u dear
Answer:
w = 12
Step-by-step explanation:
Original Equation:
4x + 9 = 57
Subtract 9 from both sides
4x = 48
Now, divide both sides by 4 in order to separate the x from the 4
x = 12
Hope you understand :)
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Which of the following is a solution to the system? Show your work.
3x+2y=-3
3x-y=6
Group of answer choices
(-1, 0)
(1, -3)
(2, 0)
LaTeX: (0,-\frac{3}{2})
Answer:
(1, -3) is a solution to the system of equations ⇒ B
Step-by-step explanation:
Let us solve the system of equations
∵ 3x + 2y = -3 ⇒ (1)
∵ 3x - y = 6 ⇒ (2)
→ Subtract equation (2) from equation (1)
∵ (3x - 3x) + (2y - -y) = (-3 - 6)
∴ (0) + (2y + y) = (-9)
∴ 3y = -9
→ Divide both sides by 3 to find y
∴ y = -3
→ Substitute the value of y in equation (2) to find x
∵ 3x - (-3) = 6
∴ 3x + 3 = 6
→ Subtract 3 from both sides
∵ 3x + 3 - 3 = 6 - 3
∴ 3x = 3
→ Divide both sides by 3 to find x
∴ x = 1
To check the answer substitute the values of x any in each equation if the two sides of the equation are equal, then the solution is right
∵ 3x + 2y = -3
∵ 3(1) + 2(-3) = -3
∴ 3 - 6 = -3
∴ -3 = -3
→ The two sides of the equation are equal
∵ 3x - y = 6
∵ 3(1) - (-3) = 6
∴ 3 + 3 = 6
∴ 6 = 6
→ The two sides of the equation are equal
∴ The solution satisfies the two equations
∴ (1, -3) is a solution to the system
Francine and Cheryl received equal scores on a test made up of multiple choice questions and an essay Francine got 34 multiple choice questions correct and received 14 points for her essay Cheryl got 30 multiple choice questions correct and received 22 points for her essay how many points was each multiple choice question worth (enter your answer in the box)
Answer: 2 points
Step-by-step explanation:
Mark bought a drink for $2. 39 and chips for $1. 89. If he pays with a $20 bill, how much change will he receive?
8) A dress normally sells for $35.85. How much does the dress cost after a 15% discount??
Answer:
$30.47
Step-by-step explanation:
100%-15%=85%
85%=0.85
$35.85*0.85=30.47 (to 2d.p)
Hope this helps
Suppose n balls are distributed randomly into n compartments.
What is the probability that m balls will fall into the first compartment? Assume all the n arrangements are equally like.
The probability that m balls is P(m balls in first compartment) = (nCm) * ((n-1)^(n-m)) / (n^n).
The total number of possible arrangements of distributing n balls into n compartments is given by n^n. Each ball has n choices for which compartment to fall into, and since there are n balls, we multiply n by itself n times.
Now, let's consider the number of ways m balls can fall into the first compartment. We can choose m balls out of the n balls to go into the first compartment in nCm ways, which is the binomial coefficient.
The remaining (n-m) balls can go into any of the remaining (n-1) compartments in (n-1)^(n-m) ways. Therefore, the probability that m balls will fall into the first compartment is given by:
P(m balls in first compartment) = (nCm) * ((n-1)^(n-m)) / (n^n)
This formula calculates the ratio of favorable outcomes (m balls in the first compartment) to the total number of possible outcomes (all possible arrangements of distributing n balls into n compartments).
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Plz help below!⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️
9514 1404 393
Answer:
3) 1,440
Step-by-step explanation:
The dimensions of the prism can be expressed in terms of the cube dimensions.
1 2/6 inches = 8/6 inches = 8×(1/6 inch)
5/6 inch = 5×(1/6 inch)
6 inches = 36/6 inches = 36×(1/6 inch)
So, the volume of the prism in terms of small cubes is ...
8×5×36 = 1,440 . . . small cubes
Vincent can type 124 words in 2 minutes, how many words can he type in 4 minutes?
Answer:
248 words in 4 minutes
Step-by-step explanation:
words : minutes
124 : 2
Multiply each side by 2
124*2 : 2*2
248 : 4
248 words in 4 minutes
Answer:
He can type 248 words in 2 minutes.
Step-by-step explanation:
USING RATIOS:
124 : 2
x : 4
You must multiply each side by 2 to get...
248 : 4
Find the volume of a sphere with a radius of 9√6
Volume: __√6π
Answer:
\(648\sqrt{6}\)π
Step-by-step explanation:
\(\frac{4}{3}\)π(9√6)³
=\(\frac{4}{3}\)π81*6*√6
=(486*\(\frac{4}{3}\))√6π
=648√6π
50 Pts!! Brainliest!! Answer ASAP, thx.
Answer:
1/625
Step-by-step explanation:
When you multiply, you add the exponents. You now have \(6^{-4}\). This is equivalent to \(\frac{1}{5^{4} }\) which equals 1/625.
Answer:
1/625
Step-by-step explanation:
5^ -1 * 5^-3
The bases are the same, so we can add the exponents
5^ (-1+-3)
5^-4
We know that a^-b = 1/ a^b
1/5^4
1/625
One of the legs of a right triangle measures 17 cm and its hypotenuse measures 19 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
The length of the other leg is 8.48 cm
What is Pyhtagorean Theorem?
The Pythagorean theorem states that the sum of the squares on the legs of a right triangle equals the square on the hypotenuse (the side opposite the right angle)
Solution:
Given that:
Length of One Leg = 17 cm
Length of Hypotenuse = 19 cm
To Find:
Length of the other leg
= We know that by pythagorean theorem
\(base^{2} + length^{2} = hypotenuse^{2}\)
17*17 + x^2 = 19*19
289 + x^2 = 361
x^2 = 72
x = 8.48 cm
The length of the other leg is 8.48 cm
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A _____________variable is a numerical measure of the outcome from a probability experiment, so its value is determined by chance.
_________ variables are typically denoted using letters such as X.
When experiments are conducted in a way such that the outcome is a numerical result, it is said that the outcome is a random variable. A _________ variable is a numerical measure of the outcome of a probability experiment, so its value is determined by chance.
A random variable is a numerical measure of the outcome from a probability experiment, so its value is determined by chance. Random variables are typically denoted using letters such as X. When experiments are conducted in a way such that the outcome is a numerical result, it is said that the outcome is a random variable. A numerical variable is a numerical measure of the outcome of a probability experiment, so its value is determined by chance.
A random variable is a numerical measure of the outcome from a probability experiment, so its value is determined by chance. Random variables are typically denoted using letters such as X. When experiments are conducted in a way such that the outcome is a numerical result, it is said that the outcome is a random variable. A numerical variable is a numerical measure of the outcome of a probability experiment, so its value is determined by chance.
In the mathematical language of measurement theory, the difference between variables is defined as the distance from the measurement point (called the sampling point) to the measurement point. This allows the forward measurement, called the distribution of the variable, to be determined; so the distribution is a measure of the probability of a set of all values of a random variable. The two variables may differ but differ in important respects; so they will be free.
Consider the special cases of random variables and non-continuous random variables, corresponding to how random variables take values in non-continuous problems (for example, as finite sets) or in the range of real numbers. There is another important point, especially in the theory of random processes, where it is important to determine arbitrary sequences or arbitrary functions.
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the perimeter of the rectangle is 88 the length is five more than twice width find the length and the width
Width be x and length be 2x+5
Now
2(L+B)=882(x+2x+5)=883x+5=443x=39x=13Length=2(13)+5=26+5=31
A relaxed 3-coloring of a graph G assigns each vertex of G one of three colors (for example, red, green, and blue), such that at most one edge in G has both endpoints the same color.
Determine if the problem is :
A. Give an example of a graph that has a relaxed 3-coloring, but does not have a proper 3 - coloring (where every edge has endpoints of different colors).
B. Prove that it is NP-hard to determine whether a given graph has a relaxed 3-coloring
The problem described is option A: "Give an example of a graph that has a relaxed 3-coloring but does not have a proper 3-coloring (where every edge has endpoints of different colors)."
To illustrate this, consider a cycle graph with four vertices. Let's label the vertices as A, B, C, and D. We can assign the colors red, green, and blue to the vertices in the following way:
A -> red
B -> green
C -> red
D -> blue
This is a relaxed 3-coloring because no edge has both endpoints with the same color. However, it is not a proper 3-coloring because vertices A and C are both assigned the color red, and they are connected by an edge.
Regarding option B, proving that it is NP-hard to determine whether a given graph has a relaxed 3-coloring would require a more in-depth analysis and proof based on complexity theory and reduction from known NP-hard problems.
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What is the first derivative of q(x) = In 7x2+3x+7 5 x 6 tan x ? Provide your answer
The first derivative of q(x) is q'(x) = (1/(7x^2+3x+7)^(5x^6tan(x))) * [5x^6tan(x)*(7x^2+3x+7)^(5x^6tan(x)-1)*(14x+3) + (7x^2+3x+7)^(5x^6tan(x))*(30x^5tan(x) + 5x^6sec^2(x))].
To find the first derivative of q(x) = ln(7x^2+3x+7)^(5x^6tan(x)), we can use the chain rule and the product rule of differentiation.
Let u = 7x^2+3x+7 and v = 5x^6tan(x). Then, using the chain rule, we have:
q(x) = ln(u^v)
q'(x) = (1/u^v) * d/dx(u^v)
To find d/dx(u^v), we can use the product rule:
d/dx(u^v) = v*u^(v-1)*du/dx + u^v * dv/dx
where du/dx = 14x + 3 is the derivative of u with respect to x, and dv/dx = 30x^5tan(x) + 5x^6sec^2(x) is the derivative of v with respect to x.
Substituting these values into the equation, we get:
d/dx(u^v) = v*u^(v-1)*(14x + 3) + u^v * (30x^5tan(x) + 5x^6sec^2(x))
Substituting this into the expression for q'(x), we get:
q'(x) = (1/u^v) * [v*u^(v-1)*(14x + 3) + u^v * (30x^5tan(x) + 5x^6sec^2(x))]
Finally, we can substitute the expressions for u and v back into this equation to get the first derivative of q(x) in terms of x:
q'(x) = (1/(7x^2+3x+7)^(5x^6tan(x))) * [5x^6tan(x)*(7x^2+3x+7)^(5x^6tan(x)-1)*(14x+3) + (7x^2+3x+7)^(5x^6tan(x))*(30x^5tan(x) + 5x^6sec^2(x))]
Therefore, the first derivative of q(x) is given by the above expression.
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ill mark brainist plss help
Answer:
3.3 cm
Step-by-step explanation:
262/80 = 3.275 ≈ 3.3
Seema used compatible numbers to estimate the product of (–25.31)(9.61). What was her estimate?
–250
–240
240
250
Answer:
it is a becouase if you estimate (–25.31) to -25 and 9.61 to 10 / 25x10 would be 250 since -25.31 was negative it would be option A or -250
Step-by-step explanation:
Check whether the given number is a solution of the equation or inequality. 9+4y=17;1
Answer:
9 + 4(1) \(\neq \\\) 17
Step-by-step explanation:
to satisfy inequality
9 + 4(1) < 17
13 < 17
The two expressions below have the same value when rounded to the nearest hundredth
log5b log948
what is the approximate value of logb to the nearest hundredth
0.93
1.23
9.16
65.53
The approximate value of ㏒(b) to the nearest hundredth is 1.23.
Logarithms:The other method to write exponents in mathematics is using logarithms. A number's base-based logarithm is equal to some other number. A logarithm performs exponentiation's exact opposite function.
In Logarithms, ㏒ₐ(b) = ㏒(b)/ ㏒(a)
Given that
The two expressions below have the same value when rounded to the nearest hundredth
=> ㏒₅ (b) = ㏒₉ (48)
As we know ㏒ₐ(b) = ㏒(b)/ ㏒(a)
=> ㏒₅ (b) = ㏒(b)/㏒(5)
=> ㏒(b)/㏒(5) = ㏒₉ (48)
=> ㏒(b) = ㏒₉ (48) ㏒(5)
=> ㏒(b) = (1.7618)(0.6989)
=> ㏒(b) = 1.23132202
=> ㏒(b) = 1.23
Therefore,
The approximate value of ㏒(b) to the nearest hundredth is 1.23.
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can you give answer for this
it's urgent please
Explicitly describe each partition on the set {1, 2, 3}. For each partition P, indicate which equivalence
relation R from the previous problem has {1, 2, 3}/R = P.
There are three possible partitions on the set {1, 2, 3}: Partition 1: { {1}, {2}, {3} } This partition corresponds to the equivalence relation R1 from the previous problem. Partition 2: { {1, 2}, {3} } This partition corresponds to the equivalence relation R2 from the previous problem. Partition 3: { {1, 3}, {2} } This partition corresponds to the equivalence relation R3 from the previous problem.
A partition of a set is a collection of disjoint subsets of the set that together cover the entire set. In other words, each element of the set belongs to exactly one of the subsets. For the set {1, 2, 3}, there are five partitions:
- P1 = {{1}, {2}, {3}}
- P2 = {{1, 2}, {3}}
- P3 = {{1, 3}, {2}}
- P4 = {{2, 3}, {1}}
- P5 = {{1, 2, 3}}
Each of these partitions corresponds to a different equivalence relation on the set {1, 2, 3}.
For example, the partition P1 corresponds to the equivalence relation R1 = {(1, 1), (2, 2), (3, 3)}, which is the identity relation. The partition P2 corresponds to the equivalence relation R2 = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 1)}, which relates 1 and 2 to each other but not to 3. The partition P3 corresponds to the equivalence relation R3 = {(1, 1), (2, 2), (3, 3), (1, 3), (3, 1)}, which relates 1 and 3 to each other but not to 2. The partition P4 corresponds to the equivalence relation R4 = {(1, 1), (2, 2), (3, 3), (2, 3), (3, 2)}, which relates 2 and 3 to each other but not to 1.
Finally, the partition P5 corresponds to the equivalence relation R5 = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 1), (1, 3), (3, 1), (2, 3), (3, 2)}, which relates all of the elements to each other.
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Julio says "If you subtract 13 from my number and multipy the difference by -3 the result is -45" what is Julio's number
Answer:28
Step-by-step explanation:
Julio's number is x
(X-13)*-3=-45
Divide by -3
X-13=15
Add13 to both sides
x=28
Please help me I'm stuck. I will give 30 points for this one. Given triangle ABC tilde triangle PQR and your scale factor Complete the hotspots for these similar triangles and show work
The value for the hotspots of the similar triangles ∆ABC and ∆PWR are:
(1). angle B = 68°
(2). PQ = 5cm
(3). BC = 19.5cm
(4). area of ∆PQR = 30cm²
What are similar trianglesSimilar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.
(1). angle B = 180 - (22 + 90) {sum of interior angles of a triangle}
angle B = 68°
Given that the triangle ∆ABC is similar to the triangle ∆PQR.
(2). PQ/7.5cm = 12cm/18cm
PQ = (12cm × 7.5cm)/18cm {cross multiplication}
PQ = 5cm
(3). 13cm/BC = 12cm/18cm
BC = (13cm × 18cm)/12cm {cross multiplication}
BC = 19.5cm
(4). area of ∆PQR = 1/2 × 12cm × 5cm
area of ∆PQR = 6cm × 5cm
area of ∆PQR = 30cm²
Therefore, the value for the hotspots of the similar triangles ∆ABC and ∆PWR are:
(1). angle B = 68°
(2). PQ = 5cm
(3). BC = 19.5cm
(4). area of ∆PQR = 30cm²
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