The value of the 9 in 964,352 is how many times the value of the 9 in 290,481 ?

It will take 3 weeks for both of us to have collected  the same amount. Each of us will have collected 23 items at that  time.

A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

Let x = weeks

Me: y = 14+3x

Friend: y = 8+5x

Equating the two equations

14+3x=8+5x

14=8+2x

6=2x

dividing both sides by 2

3=x

y=14+3(3)=23

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Answer: x=2, y=4

Step-by-step explanation:

Use the elimination method to find x and y.

3x-y=2

2x+y=8

5x=10

x=2

Using the value of x, plug it in the equation to get the value of y.

4+y=8

y=4

The solution does not exist, as the equation does not satisfy any value of x and y

What is the equation?

An equation is a mathematical statement that asserts the equality of two expressions. It is a statement that asserts the equality of two expressions, and it is represented by an "equals" sign (=) between them. The expressions on either side of the equals sign are called the left-hand side and the right-hand side of the equation. Equations can be written in different forms, such as the standard form, factored form or in the form of roots.

The equation x - 2y = -4 represents a straight line in the x-y plane. To find the solution to this equation, we can find the x and y coordinates that satisfy the equation.

We can solve for one of the variables by adding or subtracting the constant from both sides of the equation.

x = 2y + 4

We can then substitute this expression for x into the other equation to find the value of the other variable.

x-2y=-4

2y+4-2y=-4

4 = -4

Hence, The solution does not exist, as the equation does not satisfy any value of x and y

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The area of the region consisting of all points Charlyn can see during her walk is 49sq/km.

Algebra aids in the solution of mathematical problems and enables the derivation of unknown numbers, such as interest rates, ratios, and percentages. In order to recast the equations, we can express the associated unknown values using variables from algebra.

Given that, path visible = 1km

Each Side of the boundary = 5km long

This would be the same as having a 1 km border all the way around a 5km square, thus (5+2) * (5+2) = 49 sq/km

Hence, the area of the region consisting of all points Charlyn can see during her walk is 49 sq/km.

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The area of the region consisting of all points Charlyn can see during her walk is 49sq/km.

this is a question of algebra and solution is as follows: -

Given that, path visible = 1km

Each Side of the boundary = 5km long

This would be the same as having a 1 km border all the way around a 5km square, thus (5+2) * (5+2) = 49 sq/km

Hence, the area of the region consisting of all points Charlyn can see during her walk is 49 sq/km.

Algebra

Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions. It involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.

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The length of the new cylinder is 8. 78m

The formula for determining the volume of a cylinder is expressed as;

V = πr²h

Where;

Now, substitute the values into the formula, we have;

Volume = 3. 14 × ( 0.28)² × 7

Multiply the values, we get;

Volume = 1. 72m³

For the new length, we have to substitute the value of the volume and the new radius

1. 72 = 3. 14 × (0. 25)² × l

Find the square

1. 72 = 0. 196l

Divide both sides by the coefficient of l

l = 8. 78 m

Hence, the value is 8. 78m

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y(x) = tan(x + C) where C is an arbitrary constant of integration. Thus, the equilibrium solutions are y = 1 and y = -1. The non-equilibrium solutions are the values of y that make y' not equal to 0.

y(x) = tan(x + C)

Where C is an arbitrary constant of integration.

The solution y(x) = tan(x + C) is a family of functions indexed by the arbitrary constant C. The constant C cannot be determined from the information given in the problem, and so the general solution contains all possible specific solutions.

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The percent of container A that is empty after the pumping is complete is 46.29%

Container A:  radius = 14 feet and height = 19 feet

Container B: radius = 10 feet and height = 20 feet

The formula for the volume of a cylinder is given by:

volume of cylinder = πr²h

where r is the radius and h is the height

volume of container A =  π × 14²× 19 = 11699.29 cubic feet

volume of container B =  π × 10²× 20 = 6283.19 cubic feet

water from container B is pumped into container A

empty space in container  A = 11699.29 - 6283.19 = 5416.1 cubic feet

The percent of container A that is empty after the pumping is complete will be:

percent of container A that is empty = (5416.1 /11699.29)× 100

percent of container A that is empty = 46.3%

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Complete Question

Two containers are designed to hold water two containers design to hold water side by side both in the shape of a cylinder. Container A has a radius of 14 feet and a height of 19 feet. Container B has a radius of 10 feet and a height of 20 feet container is full of water and the water is pumped into the container B until container B is completely full. To the nearest 10th, what is the percent of container A is empty after the pumping is complete?

The percentage return you make on the stock is 12.9%

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

Initial value = $62

Final value = $70

The percentage return is then calculated as

Percentage return = (Final value - Initial value)/Initial value * 100%

Substitute the known values in the above equation, so, we have the following representation

Percentage return = (70 - 62)/62 * 100%

Evaluate

Percentage return = 12.9%

Hence, the percentage return is 12.9%

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The domain and range are: domain: [0, 12.76], range: [0, 590.9]

We have the following equation:

h(t)=-4.92t^2+17.69t+575

For the domain we have:

We match zero:

-4.92t ^ 2 + 17.69t + 575 = 0

We look for the roots:

t1 = -9.16, t2 = 12.76

We are left with the positive root, so the domain= [0, 12.76]

For the range we have:

We derive the function:

h '(t) = - 9.84t + 17.69

We equal zero and clear t:

-9.84t + 17.69 = 0

t = 17.69 / 9.84

t = 1.80

We evaluate the time in which it reaches the maximum height in the function:

h (1.80) = - 4.92 * (1.80) ^ 2 + 17.69 * (1.80) +575

h (1.80) = 590.90

Therefore, the range:[0, 590.9]

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The general solution to the differential equation is y(x) = (5/2)x^3 - (4/3)x^2 + (1/2)x + C1e^(-x) + C2e^(-2x).

To solve this initial value problem, we need to find the general solution to the differential equation and then use the initial conditions to find the particular solution.

The characteristic equation is r^2 + 3r - 2 = 0, which has two distinct real roots of r1 = -2 and r2 = -1.

The general solution to the differential equation is y(x) = (5/2)x^3 - (4/3)x^2 + (1/2)x + C1e^(-x) + C2e^(-2x)

Now we can use the initial conditions y(0) = 0 and y'(0) = 0 to find the values of C1 and C2.

y(0) = 0 = (5/2) * 0^3 - (4/3) * 0^2 + (1/2) * 0 + C1e^(0) + C2e^(0)

y'(0) = 0 = 5x^2 - (8/3)x + (1/2) + C1e^(-x) - C2e^(-2x)

Solving these equations, we find that C1 = 0 and C2 = 0, so the particular solution to the initial value problem is y(x) = (5/2)x^3 - (4/3)x^2 + (1/2)x.

This method is the standard way to solve Initial value problems for linear homogeneous differential equations with constant coefficients. It relies on finding the characteristic equation, and the general solution of the differential equation. Then we use the initial conditions to find the particular solution.

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Yes, a hole in a function is considered a type of discontinuity. A hole occurs when a point is missing from the graph of a function, which causes the graph to have a break in it.

A discontinuity is a break or jump in the graph of a function. A hole in a function is a type of discontinuity where a point is missing from the graph, causing the graph to have a break in it. This type of discontinuity is usually caused by a function having a denominator that is equal to zero, as this creates an undefined point on the graph. This can also occur when two parts of the function are not connected, causing an open gap in the graph. In both cases, the graph is not continuous and has a discontinuity at the point where the hole is present.

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Yes, the function has a hole in discontinuity.

The term function in math is called as a rule that gives value of a dependent variable that corresponds to specified values of one or more independent variables.

Here we to identify is a hole in a function a discontinuity.

the term discontinuity is defined as is discontinuous at a point if it becomes undefined or the limit at that point does not exist. And whether this point is known as the point of discontinuity.

While we looking the hole on a graph looks like a hollow circle. And which  represents the fact that the function approaches the point, here it is not actually defined on that precise value. Where the major reason why this function is not defined at is because is not in the domain of the function.

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Let x and Y represent the unknowable costs of a single hot dog and soft drink, respectively. We require two equations in order to solve for the two unknowns.

Equation 1 states that ten hot dogs and five soft drinks cost $35, or 10x + 5y = 35.

Equation 2: The total cost of 7 hot dogs and 4 soft drinks is $25.25, or 7x + 4y = 25.25.

Let's start by reformulating equation 1 to account for y:

10x + 5y = 35

5y = 35 - 10x  

y = 7 - 2x    

Let's change y in equation 2 to be 7 - 2x:

7x + 4y = 25.25

7x + 4(7 - 2x) = 25.25

Simplifying the above equation,

7x + 28 - 8x = 25.25

-x + 28 = 25.25

Then we get,

x - 28 = -25.25

Calculate x, which is the price of a single hot dog. Use y = 7 - 2x to calculate the price of a single soft drink after you have that information.

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The total number of fasnacht doughnuts is given by the equation A = 384

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total number of fasnacht doughnuts be represented as A

Now , the equation will be

The amount of butter Tran has = 8 pounds

1 pound of butter = 2 cups

So , 8 pounds of butter = 8 x 2 cups

8 pounds of butter = 16 cups

And , recipe calls for 1 cup of butter per 2 dozen fasnachts

So , 16 cups of butter = 16 x 2 dozen fasnachts

On simplifying the equation , we get

16 cups of butter = 32 dozens of fasnachts

And , the total number of fasnacht doughnuts A = 32 dozens

The total number of fasnacht doughnuts A = 32 x 12

The total number of fasnacht doughnuts A = 384 fasnachts doughnuts

Therefore , the value of A is 384 doughnuts

Hence , the total number of doughnuts is 384

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After 8 years, the forest's area will be 2303.55 km2.

The "space enclosed within the perimeter or the boundary" of the specified shape is what is referred to as a shape's area. We use mathematical techniques to determine the area of various forms.

If the forest covers an area of  3400 km^2 and it decreased by 4.75%, the new area covered after a year will be equal to 3400 less the product of 3400 and 4.75%

= 3400 - 4.75% * 3400

= 3400 (1 - 0.0475)

After the second year, the area becomes

= 3400 (1 - 0.0475) - 4.75% * 3400 (1 - 0.0475)

= 3400 (1 - 0.0475)(1 - 0.0475)

= 3400 (1 - 0.0475)²

Following this pattern, the area after 8 years

= 3400 (1 - 0.0475)⁸

Area after the 8 years = 2303.55609

therefore, the area of the forest after the 8 years will be 2303.55 km².

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The interval notation for all real numbers greater than or equal to 5, is [ ∞, 5 ].

Continuous sets of real numbers can be represented using interval notation by the numbers that bound them. When written, intervals resemble ordered pairs in several ways.

When writing in interval notation, using " [ " means that the number next to this is to be included in the interval.

All real numbers greater than 5 would therefore mean real numbers till infinity so the symbol is ∞. The interval notation would therefore be :

[ ∞, 5 ]

This includes both all the real numbers and 5.

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Full question is:

Write in interval notation, all real numbers greater than or equal to  5

Answer: 5 + a = t

Step-by-step explanation:

She fed her five in the morning,  the a is a variable representing the amount she fed in the afternoon, and the t is a variable representing the total amount of apple chunks fed. Because we do not know how many chunks she fed him these two values have to be variables.

The standard form of the expression is -5-81i.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

A complex number is a number system element that extends the real numbers with a specific element denoted by 'i' known as the imaginary unit.

The given expression is -5 - √81. The number in a standard form will be written as,

Number = -5 - √81

Number = -5 - 81i      i = √-1

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Answer:

The width

Step-by-step explanation:

you would first need a width to subtract into first

The area of the yellow region to the nearest tenth is 48.4 cm².

The diagram is a square. Part of the square is cut to form quarter of a circle. Therefore, let's find the area of the yellow region.

Area of the yellow region = area of the square - area of the quarter circle

area of the square = l²

where

area of the square = 15²

area of the square = 225 cm²

area of the quarter circle = 1 / 4 πr²

area of the quarter circle = 1 / 4 × 3.14 × 15²

area of the quarter circle = 1 / 4 × 3.14 × 225

area of the quarter circle = 706.5 / 4

area of the quarter circle = 176.625

Therefore,

Area of the yellow region = 225 - 176.625

Area of the yellow region = 48.4 cm²

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Answer: y=-x+10

Step-by-step explanation:

In this graph, we can see 2 distinct points on the line. They are (2,8) and (4,6). To find the equation, we want to use the slope formula to find the slope.

[tex]m=\frac{y_2-y_1}{x_2-x_1} =\frac{8-6}{2-4} =\frac{2}{-2} =-1[/tex]

Now with the slope, let’s find the y-intercept. The y-intercept can be found on the y-axis. Looking back to the graph, the y-axis is 10. The final equation is y=-x+10.

The percent of games lost by the baseball team is 20%

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

Games won = 24

Games lost = 6

The percent of games lost by the baseball team is then calculated as

Percentage lost = Games lost/(Games lost + Games won) * 100%

Substitute the known values in the above equation, so, we have the following representation

Percentage lost = 6/(6 + 24) * 100%

Evaluate

Percentage lost = 20%

Hence, the percentage lost is 20%

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The numeric value of the function C(68) at f = 68 is given as follows:

C(68) = 20.

To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.

The function for this problem is defined as follows:

C(f) = 5/9 x (f - 32).

The input at which we want to find the numeric value for the function is then given as follows:

f = 68.

Which means that the lone instance of f in the definition of the function is replaced by 68, and then the numeric value is calculated as follows:

C(68) = 5/9 x (68 - 32) = 5/9 x 36 = 5 x 4 = 20.

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The function for x = -2 is 56, x = 0 is 0 and x=2 is 24 for function g(x)= 10x² - 8x

A relation is a function if it has only One y-value for each x-value.

The given function is g(x)= 10x² - 8x

we need to find the value when x is -2

Replace x with -2

g(-2)=10(-2)²-8(-2)

=10×4+16

=40+16=56

Now when x =0

g(0)= 10(0)² - 8(0)=0

Now when x =2

Replace x with 2

g(2)=10(2)²-8(2)

=40-16

=24

Hence, the function for x = -2 is 56, x = 0 is 0 and x=2 is 24 for function g(x)= 10x² - 8x

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Answer:

28x + 12

Step-by-step explanation:

4(7x + 3) = 4 times 7x +4 times 3 = 28x +12

Answer: when you expand the expression you get 21x+12
simplified- 21x+12, there's no other way to simplify it

Step-by-step explanation:

We have 3 pairs of congruent sides to show that two triangles are congruent by SSS.

In geometry, two triangles are said to be congruent if they have the same size and shape. There are several ways to show that two triangles are congruent, and one of these is the Side-Side-Side (SSS) Congruence Theorem. This theorem states that if three pairs of sides in two triangles are congruent in length, then the triangles are congruent. In other words, if you have two triangles and you can find three pairs of sides such that the sides in each pair are equal in length, then the two triangles must be congruent. This is because the three pairs of congruent sides uniquely determine the shape and size of the triangles. Therefore, to show that two triangles are congruent using the SSS Congruence Theorem, you need to have three pairs of congruent sides.

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We have 3 pairs of congruent sides to show that two triangles are congruent by SSS.

(1) SSS (side-side-side) : If three sides of a triangle are congruent to three sides of another triangle then the triangles are congruent.

(2) SAS (side-angle-side) : If two sides and included angle of a triangle are congruent to another triangle then the triangles are congruent.

(3) ASA (angle-side-angle) : If two angles and included side of a triangle are congruent to another triangle then the triangles are congruent.

(4) RHS (right angle-hypotenuse-side) : If the hypotenuse and leg of one right triangle are congruent to the corresponding parts of another right triangle, the right triangles are congruent.

As we are given two triangles.

Side AM = Side OB

Side MN = Side BY

Side AN = Side OY

In geometry, two triangles are said to be congruent if they have the same size and shape. There are several ways to show that two triangles are congruent, and one of these is the Side-Side-Side (SSS) Congruence Theorem. This theorem states that if three pairs of sides in two triangles are congruent in length, then the triangles are congruent. In other words, if you have two triangles and you can find three pairs of sides such that the sides in each pair are equal in length, then the two triangles must be congruent. This is because the three pairs of congruent sides uniquely determine the shape and size of the triangles. Therefore, to show that two triangles are congruent using the SSS Congruence Theorem, you need to have three pairs of congruent sides.

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Why do phospholipids make a phospholipid bilayer with the heads facing out towards water and the tails facing each other

Phospholipids are composed of a polar, hydrophilic head and a non-polar, hydrophobic tail. The polar head of a phospholipid is attracted to water, while the non-polar tail is repelled by water.

Repair the phospholipid membrane

When phospholipids are placed in an aqueous environment, they will naturally arrange themselves in a way that maximizes their stability. This is achieved by forming a phospholipid bilayer with the heads facing out towards the water and the tails facing each other.

This arrangement therefore allows the polar heads to interact with the water while keeping the non-polar tails sequestered away from the water, thus protecting the cell's interior and maintaining the stability of the cell membrane.

How many phospholipids did it take?

The number of phospholipids that it takes to repair a phospholipid membrane would depend on the size and nature of the damage to the membrane. In general, the repair process involves the addition of new phospholipids to the membrane, either by the insertion of pre-formed lipids or by the synthesis of new lipids by the cell. The exact number of lipids required would depend on the extent of the damage and the rate of lipid turnover in the membrane.

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The figures shows a graph of y = h(x) and h⁻¹(x), at h⁻¹(x) gives  -0.5

An inverse function in mathematics is a function that "undoes" another function.

In other words, if f(x) yields y, then y entered into the inverse of f yields the output x. x .

An invertible function is one that has an inverse, and the inverse is represented by the symbol f ⁻¹.

The second graph is for the inverse function, tracing point where x = -1 in the graph to the straight line and tracing back to the y direction gives 0.5

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Answer:

n = 20

Step-by-step explanation:

there is a common difference between consecutive terms , tat is

0 - (- 3) = 3 - 0 = 3

this indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = - 3 and d = 3 with [tex]a_{n}[/tex] = 54 , then solving for n

- 3 + 3(n - 1) = 54 ( add 3 to both sides )

3(n - 1) = 57 ( divide both sides by 3 )

n - 1 = 19 ( add 1 to both sides )

n = 20

there are 20 terms in the sequence.

Answer:

9 because 1, 2,6,are factors of 18 and since 8 is not a factor of 10 9 is a factor because9×2 =18