Guys it’s due in 3hrs help

Required total number of marbles were 478 in Box A.

To find the number of marbles in Box A, given that Box A and B had a total of 560 marbles, and Box A and C had a total of 438 marbles, follow these steps:

Step 1: Let the number of marbles in Box A be x, Box B be y, and Box C be z.

Step 2: From the given information, we have two equations:

x + y = 560 (Equation 1)

x + z = 438 (Equation 2)

Step 3: Also, we know that there were half as many marbles in Box C as in Box B. So,

z = 0.5y (Equation 3)

Step 4: Substitute Equation 3 into Equation 2:

x + 0.5y = 438

Step 5: Solve for y in terms of x:

y = 2(x - 438)

Step 6: Substitute this expression for y back into Equation 1:

x + 2(x - 438) = 560

Step 7: Solve for x:

x + 2x - 876 = 560

3x = 1436

x = 478

So, there were 478 marbles in Box A.

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The required answer is A = 316
Explanation:-
1. Box A and B had a total of 560 marbles.
2. Box A and C had a total of 438 marbles.
3. There were half as many marbles in Box C as in Box B.

Let's use algebra to solve this problem. Assign the following variables:
- A: number of marbles in Box A
- B: number of marbles in Box B
- C: number of marbles in Box C

We are given:
1. A + B = 560
2. A + C = 438
3. C = (1/2)B

Now, let's solve the equations:
From equation 1, B = 560 - A.
Substitute this value of B in equation 3:
C = (1/2)(560 - A)

Now, substitute the value of C in equation 2:
A + (1/2)(560 - A) = 438

Multiply both sides by 2 to get rid of the fraction:
2A + 560 - A = 876

Combine like terms:
A = 876 - 560

A = 316

So, there are 316 marbles in Box A.

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The area of the circular figure which is the top of a can drink with a diameter of 3 inches is about 7.065 square inches

A circular figure is one that has no edges or sharp corners, and which is essentially round (in the form of a disc or the path described by rotary motion) in shape.

A circular object occupies the largest area per diagonal compared to other regular shapes, as the circular inscribes other regular shapes within its circumference.

The shape in the figure is a circle

The diameter of the circle, D = 3 in.

The formula for finding the area of a circle, A, for which the diameter is presented as follows;

Area of the circle, A = π·D²/4

The approximation of the value of π to be used are 3.14 or 22/7

The area is obtained by plugging in the values of D and π in the formula for the area of a circle as follows;

The area of the figure is; A = 3.14 × 3²/4 = 7.065

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Translation of the Ax=0 solution set yields the Ax-b solution set since Ax-b is consistent. The Ax = b solution set is therefore a single vector if and only if the Ax = 0 solution set is a single vector, which occurs if and only if Ax 0 has only the trivial solution.

Finding the solution to an equation is like finding the solution to a puzzle. A mathematical equation proves the equality of two algebraic expressions. Determine the values of the variables that make the equation a true statement in order to solve an equation. An equation's solution is any value that causes the equation to be true.

given

Let's suppose that there is a solution to the equation ax = b.

Now, we want to demonstrate that the trivial solution exists for the equation ax = b when ax = 0.

Ax = 0 is homogeneous.

In the event that this equation was true for b, we define

To be a set of vectors with the form ax = b

w = m + gh

The subscript "h"

A solution to ax = 0 is gh.

Ax=b is in the form of w= m+gh based on the information we know had.

with

m = ax=solution b's

Soulution of gh = ax=0

Only a simple solution, ax = 0, exists.

gh = 0

where gh = 0

The relationship between ax=b and w=m

Ax = b thus has no alternative solutions.

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Answer:

b = 9 cm

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the height )

here h = 2b , then

\(\frac{1}{2}\) × b × 2b = 81

\(\frac{1}{2}\) × 2b² = 81

b² = 81 ( take square root of both sides )

b = \(\sqrt{81}\) = 9 cm

Notice that for the first altered function we have that:

Therefore the +7 would directly affect the x-values, so the graph would shift horizontally.

For the next function we have that:

Therefore the +7 would directly affect the y-values, so the graph would shift vertically.

Answer:

-1

Step-by-step explanation:

-5x – 15 > 10 + 20x

-5x -20x > 10+15

-25x > 25

x < -1

The relationship between the heights of two right circular cylinders with the same volume. The radius of the second cylinder increases, its height must decrease to maintain the same volume as the first cylinder.

In order to find the volume of a cylinder, we use the formula V = πr²h, where V represents the volume, r is the radius, and h is the height of the cylinder.

Given that both cylinders have the same volume, let's denote their volumes as V1 and V2, their radii as r1 and r2, and their heights as h1 and h2. The given information states that r2 > r1. We can now write the equations for the volumes of the two cylinders:

V1 = π(r1)²h1
V2 = π(r2)²h2

Since V1 = V2, we can set the two equations equal to each other:

π(r1)²h1 = π(r2)²h2

We can now solve for the relationship between the heights of the two cylinders:

h1/h2 = (r2/r1)²

This equation shows that the ratio of the heights of the two cylinders is equal to the square of the ratio of their radii. As the radius of the second cylinder is greater than the radius of the first (r2 > r1), the height of the second cylinder will be less than the height of the first (h2 < h1). In other words, as the radius of the second cylinder increases, its height must decrease to maintain the same volume as the first cylinder.

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The expected value of distribution A is 1 and distribution B is 3. The standard deviation for both distributions is the same which is 1.225. In conclusion, distribution B is better than distribution A.

Events with countable or finite outcomes are counted in a discrete probability distribution. This includes the probability values for the discrete random variable. The expected value for this type of distribution is calculated by E(X)=μ=ΣxP(x). And the standard deviation is calculated by σ=√(E(X²)-(E(X))²).

a) Expected value for the distributions A and B is calculated as follows,

The expected value for distribution A,

\(\begin{aligned}E(X)&=\sum x P(x)\\&= (0\times0.50)+(1\times0.20)+(2\times0.15)+(3\times0.10)+(4\times0.05)\\&=1\end{aligned}\)

The expected value for distribution B,

\(\begin{aligned}E(X)&=\sum x P(x)\\&= (0\times0.05)+(1\times0.10)+(2\times0.15)+(3\times0.20)+(4\times0.50)\\&=3\end{aligned}\)

b) The standard deviation for the distributions A and B is calculated as follows,

First, find E(X²) for distribution A and B to substitute in the standard deviation formula.

The  E(X²) for distribution A is,

\(\begin{aligned}E(X^2)&=\sum x^2P(x)\\&=(0^2\times0.50)+(1^2\times0.20)+(2^2\times0.15)+(3^2\times0.10)+(4^2\times0.05)\\&=2.5\end{aligned}\)

The  E(X²) for distribution B is,

\(\begin{aligned}E(X^2)&=\sum x^2P(x)\\&=(0^2\times0.05)+(1^2\times0.10)+(2^2\times0.15)+(3^2\times0.20)+(4^2\times0.50)\\&=10.5\end{aligned}\)

Then, the standard deviation for distribution A is,

\(\begin{aligned}\sigma_A&=\sqrt{2.5-1^2}\\&=1.225\end{aligned}\)

The standard deviation for distribution B is,

\(\begin{aligned}\sigma_B&=\sqrt{10.5-3^2}\\&=1.225\end{aligned}\)

Distribution A and B have the same standard deviation.

c) The standard deviation values are the same for both distributions.  But the expected value of distribution A is lesser than the expected value of distribution B. So distribution B looks better than distribution A.

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speed = distance ÷ time = 30 ÷ 2.5 = 12 mph

The meaning of the graph is that the value of x is no less than -1

From the question, we have the following parameters that can be used in our computation:

x ≥ − 1

The above expression is an inequality that implies that

The value of x is no less than -1

Next, we plot the graph

See attachment for the graph of the inequality

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Question

What does the graph of x ≥ −1 mean?

\(\\ \tt\longmapsto 78m\times (41)\sqrt[72]{83\times 47}\)

\(\\ \tt\longmapsto 78m\times (41\sqrt[72]{3901}\)

\(\\ \tt\longmapsto 78m(41)(1.12)\)

\(\\ \tt\longmapsto 78m(45.92)\)

\(\\ \tt\longmapsto 3581.76m\)

The rate of growth after 2 hours is 3 (rounded to the nearest whole number).

To find the rate of growth after 2 hours, we can use the following formula: Rate of Growth = (Final Value - Initial Value) /

Time taken. Therefore, we need to know the final value, initial value, and the time taken to find the rate of growth.

Since these values are not provided in the question, we need to find them first. From part (b) of the question, we know

that the population grows according to the function: P = 10(1.3)^t where P is the population and t is the time in hours.

So, after 2 hours, the population can be calculated as: P = 10(1.3)^2 = 10(1.69) ≈ 16.9 (rounded to one decimal

place)Therefore, the initial value is 10 (given in the function) and the final value is approximately 16.9. The time taken is

2 hours. Substituting these values in the formula for the rate of growth, we get: Rate of Growth = (Final Value - Initial

Value) / Time taken= (16.9 - 10) / 2≈ 3.45 (rounded to two decimal places)So, the rate of growth after 2 hours is

approximately 3.45. Rounded to the nearest whole number, the answer is 3. Therefore, the rate of growth after 2 hours

is 3 (rounded to the nearest whole number).

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f(n) = ϴ(g(n)) is not true in cases B(sqrt(n)log(n), C(\(3^n 5^n\)), and D(sin(n)+3 cos(n)+1).

A) \(log(n^200) log(n^2)\)

Here, f(n) = \(log(n^200)\) and g(n) = \(log(n^2)\). Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = \([log(n^200) / log(n^2)]\) = 100

This means that as n approaches infinity, the ratio f(n) / g(n) is constant, and so we can say that f(n) = ϴ(g(n)). Therefore, f(n) = ϴ(g(n)) is true in this case.

B) sqrt(n) log(n) Here, f(n) = sqrt(n) and g(n) = log(n). Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = [sqrt(n) / log(n)]

As log(n) grows much slower than sqrt(n) as n approaches infinity, this limit approaches infinity. Therefore, we cannot say that f(n) = ϴ(g(n)) is true in this case.

C) 3^n 5^n

Here, f(n) = \(3^n\) and g(n) = \(5^n\) . Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = \([3^n / 5^n]\)

As \(3^n\) grows much slower than \(5^n\) as n approaches infinity, this limit approaches zero. Therefore, we cannot say that f(n) = ϴ(g(n)) is true in this case.

D) sin(n) + 3 cos(n) + 1

Here, f(n) = sin(n) + 3 and g(n) = cos(n) + 1. Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = [sin(n) + 3] / [cos(n) + 1]

As this limit oscillates between positive and negative infinity as n approaches infinity, we cannot say that f(n) = ϴ(g(n)) is true in this case.

Therefore, f(n) = ϴ(g(n)) is not true in cases B, C, and D.

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Answer:

80x+65 2.465 3.865

Step-by-step explanation:

x being the number of years so in ten years he will have 80x10=800+65=865

80x5=400+65=465 so 5 is the number of years it would take

and i do not understand number 1 but i put a formula just in case that was it

Answer:

ABCD has congruent diagonals.

ABCD is a rhombus.

ABCD has four congruent angles

Step-by-step explanation:

The following statements would be considered true

1. The quadrilateral ABCD could have the congruent diagonals as the diagonals are perpendicular

2. ABCD would be treated as the rhombus as it is a  regular quadrilateral

3. ANd, It Have the four congruent angles that means the four angles be 90 degrees

The other statements would be false.

Answer:

A,B,E

Step-by-step explanation:

Edge 2021

The weekly earning for each year is $135, $520, $2040, $8080

Numbers, symbols and operators grouped together that show the value of something.

Given that, a tutor is starting a business. In the first year, they start with 5 clients and charge $10 per week for an hour of tutoring with each client. For each year following, they double the number of clients and the number of hours each week. Each new client will be charged 150% of the charges of the clients from the previous year

The weekly earnings for 1st year are,

q = $10, p = $25, x = 5, (px+q) = $135

The weekly earnings for 2nd year are,

q = $20, p = $50, x = 10, (px+q) = $520

The weekly earnings for 3rd year are,

q = $40, p = $100, x = 20, (px+q) = $2040

The weekly earnings for 4th year are,

q = $80, p = $200, x = 40, (px+q) = $8080

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Step-by-step explanation:

42 since 42/2=21 but 42/4=10.5 not integer

The number 42 is divisible by 2 but not divisible by 4 so it will be a counter-example so option (D) will be correct.

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

If a number is divisible by 2 then it will also be divisible by 4 is a false statement.

For example, 6 is divisible by 2 but not 4, other examples are 10,14,16, etc.

In option (D)

42/2 = 21 + remainder 0

42/4= 10 + remainder 2 so it is not divisible by 4

Hence "The number 42 is divisible by 2 but not divisible by 4 so it will be a counter-example".

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An nth-degree polynomial function with real coefficients satisfying the given conditions and n = 4, 2i and 3i are zeros and f(-1) = 150 can be found as follows:First of all, the complex conjugate of 2i is -2i and that of 3i is -3i. Since all coefficients of the polynomial are real, so their product must also be a factor of the polynomial.

The factor of the polynomial whose zeroes are 2i and -2i is(x - 2i) (x + 2i) = (x^2 + 4).Similarly, the factor of the polynomial whose zeroes are 3i and -3i is(x - 3i) (x + 3i) = (x^2 + 9).Therefore, the nth-degree polynomial function with real coefficients satisfying the given conditions is:f(x) = a (x^2 + 4) (x^2 + 9)Where a is the constant of proportionality.To find the value of a, substitute the value of x as -1 in the equation given in the problem and equate it to 150.

f(-1) = a ((-1)^2 + 4) ((-1)^2 + 9)150 = a (5) (10)a = 150/50a = 3

Hence, the required nth-degree polynomial function with real coefficients satisfying the given conditions is:f(x) = 3 (x^2 + 4) (x^2 + 9) and it has been obtained above.

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Answer:

Slope is the steepness and direction of a line. The line can be negative or positive. For example, if a line had a slope of 2, then the line is increasing toward the right, rising 2 units and running 1 unit. The larger the slope, the steeper the line. If a line has a slope of 4, then it is steeper than a line with a slope of 3 or 2.

Step-by-step explanation:

The probability that no letters are repeated is 0.0015, rounded to the nearest thousandth.

The probability that no letters are repeated is calculated using the formula P = n! / (r^n * (n-r)!)

, where n is the total number of letters and r is the number of each letter.

The numbers here are n = 7 and r = 1.

This means the probability of no letters being repeated is 7! / (1^7 * 6!) = 0.0015.

This can be rounded to the nearest thousandth, giving the answer of 0.0015.

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Answer:

the answer is 273

Step-by-step explanation:

Answer:

273

Step-by-step explanation:

in one of the collums, add all the numbers together.

point coordinates for the mid segment of the parallel to PQ segment of the PQR is ST point is (-3.5, 0.5) and (-1, -0.5).

Given that,

We have to find what are the endpoint coordinates for the middle portion of the parallel to PQ segment of the PQR.

We know that,

First we write the co-ordinates of the triangle in the given graph.

P is (-3,3)

Q is (2,1)

R is (-4,-2)

The triangle's midpoint, which is parallel to section PQ, must be located. As a result, we would need to locate the midpoints of the segments PR and QR before joining the points to obtain the mid segment.

Midpoint Formula is

(x₁+x₂/2, y₁+y₂/2)

So,

The midpoint of the side PR is

(-3+(-4)/2, 3+(-2)/2)

(-3-4/2, 3-2/2)

(-7/2,1/2)

So, S point is (-3.5, 0.5)

The midpoint of the side QR is

(2+(-4)/2, 1+(-2)/2)

(2-4/2, 1-2/2)

(-2/2,-1/2)

So, T point is (-1, -0.5)

Therefore, The endpoint coordinates for the mid segment of the parallel to PQ segment of the PQR is ST point is (-3.5, 0.5) and (-1, -0.5).

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In geometry, two figures/objects are congruent if they have the same shape and size

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I hope this helps you!! ‘٩꒰｡•◡•｡꒱۶’

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- Cherry *･.｡

Answer: 0.04166

Step-by-step explanation:

1.25+(-1/3) +(-7/8)

1.25 - 1/3 - 7/8

= -8/24 - 21/24

= -8 - 21/ 24

= -29/24

= 1.25 - 29/24

= 1.25 - 1.20833

= 0.04166

The charge on each sphere is 3. 337× 10^-13 C

The formula for force in an electric field is given as;

F = kQ/ r²

Where:

Note that;

F = ma

F = 1. 0 × 150

F = 150N

Substitute the value into the formula

150 =  8.99 × 10^9 Q/ (0. 020)^2

150 =  8.99 × 10^9 Q/4× 10^-4

cross multiply

150× 4× 10^-4 = 8.99 × 10^9 Q

Q = 6 × 10^-3 /8.99 × 10^9

Q = 6. 67 × 10^-13 C/ 2 =  3. 337× 10^-13 C

Thus, the charge on each sphere is 3. 337× 10^-13 C

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The estimated value of the infinite sum [infinity] (2n + 1)−9 n = 1 is 0.00253, correct to five decimal places.

To estimate the sum, we can use the formula for the sum of an infinite geometric series, which is a/(1-r), where a is the first term and r is the common ratio.

In this case, the first term is (2(1) + 1)−9 = 1/512, and the common ratio is 2/3. Therefore, the sum can be estimated as (1/512)/(1-(2/3)) = 1/2560 = 0.000390625.

However, since this only gives us two decimal places of accuracy, we need to add more terms to the sum to get a more accurate estimate. By adding more terms using a calculator or computer program, we find that the sum converges to approximately 0.00253, correct to five decimal places.

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A table that matches the data in the graph include the following:

Correct answers       Points

0                                   0

5                                   30

12                                  72

18                                  108

20                                 120

In Mathematics, a proportional relationship produces equivalent ratios and it can be represented by the following mathematical equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) for the data points contained in the table as follows:

Constant of proportionality, k = y/x = t/d

Constant of proportionality, k = 30/5 = 72/12 = 108/18 = 120/20

Constant of proportionality, k = 6.

Therefore, the required equation is given by;

y = kx

y = 6x

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:okay I don’t know what is this but what do you need help with exactly?

Step-by-step explanation: