Find the value of m if 324.39 +18.974-m=315.35​

Answer:

the area of the XYZ is 11 units

Answer:

4

Step-by-step explanation:

18 + 18 = 36

So you got 36 cuz you times by two so you times the same for x

which is

2 x 2 = 4

Answer:

4

Step-by-step explanation:

We can set up a proportion.

18:2 = 36: x

If we multiply 18 by 2, and multiply 2 by 2, we can get 18:2 = 36:4, so x is equal to 4

Answer: The measure of a central angle is twice as big as the measure of an inscribed angle IF they intercept the same arc on a circle

Step-by-step explanation: See photo. A central angle’s vertex is at the center of the circle. The measure of a central angle is equal to the measure of the included arc. An inscribed angle’s vertex lies on the circle. The measure of an inscribed angle is equal to half the measure of the included arc. Therefore the measure of the central angle is double the measure of the inscribed angle that intercept the same arc on a circle

The measure of a central angle is twice the measure of an inscribed angle, they intercept the same arc on a circle.

A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.

A central angle’s vertex is at the center of the circle. The measure of a central angle is equal to the measure of the included arc.

An inscribed angle’s vertex lies on the circle. The measure of an inscribed angle is equal to half the measure of the included arc.

Therefore, the measure of the central angle is double the measure of the inscribed angle that intercept the same arc on a circle.

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Answer:

what are the choices so I could help

Answer:

see explanation

Step-by-step explanation:

∠ L = 180° - (60 + 60)° = 180° - 120° = 60° [ sum of angles in Δ = 180° ]

Since the 3 angles are 60° , then the triangle is equilateral with the 3 sides being congruent.

Then

5x - 3 = 4 ( add 3 to both sides )

5x = 7 ( divide both sides by 5 )

x = \(\frac{7}{5}\) = 1.4

and

2y + 6 = 4 ( subtract 6 from both sides )

2y = - 2 ( divide both sides by 2 )

y = - 1

The time taken for the water level in the tank to drop from 3 to 0.5 meters above the bottom cannot be determined without additional information.

To calculate the time taken, we need to know the flow rate or discharge rate of the water from the tank. This information is not provided in the question. The time taken to drain the tank depends on factors such as the diameter of the outlet pipe, the pressure difference, and any restrictions or obstructions in the flow path.

If we assume a known discharge rate, we can use the principles of fluid mechanics to calculate the time. The volume of water that needs to be drained is the difference in the volume of water between 3 meters and 0.5 meters above the bottom of the tank. The flow rate can be determined using the pipe diameter and other relevant factors. Dividing the volume by the flow rate will give us the time taken.

However, since the discharge rate is not given, we cannot perform the calculation and determine the time taken accurately.

Without knowing the discharge rate or additional information about the flow characteristics, it is not possible to calculate the time taken for the water level in the tank to drop from 3 to 0.5 meters above the bottom.

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Step-by-step explanation:

To find f(g(x)), we need to first find g(x) and then use the result to evaluate f(g(x)).

We are given:

g(x) = -x - 4

Now, we substitute this expression for g(x) into the expression for f(x):

f(g(x)) = f(-x - 4)

= (-x - 4)² - (-x - 4) - 1 [substituting g(x) = -x - 4 in f(x)]

= (x² + 8x + 16) - (-x - 4) - 1 [expanding the square term]

= x² + 9x + 11

Therefore, f(g(x)) = x² + 9x + 11.

1.  The simultaneous solution of the given equations is X=12/5 and Y=4/5

2.1)The combination of X and Y that will yield the optimum for this problem is X=0 and Y=3.3.

2)The combination of X and Y that will provide a minimum for this problem is X=3 and Y=0.

To find the simultaneous solution of the given equations 4X+3Y=12 and 2X+4Y=8, we can use the method of elimination, also known as the addition method. Multiplying the second equation by 2, we get 4X+8Y=16.

Now, we can subtract the first equation from the second equation: 4X+8Y - (4X+3Y) = 8Y - 3Y = 5Y and 16 - 12 = 4. Thus, 5Y=4 or Y = 4/5.

Substituting this value of Y in any of the two equations, we can find the value of X. Let's substitute this value of Y in the first equation: 4X+3(4/5)=12 or 4X

= 12 - (12/5)

= (60-12)/5

= 48/5.

Thus, X = 12/5. Hence, the simultaneous solution of the given equations is X=12/5 and Y=4/5.2. To find the optimal values of X and Y that will maximize the objective function Z=$10X+$50Y, we need to use the method of linear programming.

First, let's plot the feasible region defined by the given constraints:We can see that the feasible region is bounded by the lines 3X+4Y=12, 2X+5Y=10, X=0, and Y=0.

To find the optimal solution, we need to evaluate the objective function at each of the corner points of the feasible region, and choose the one that gives the maximum value.

Let's denote the corner points as A, B, C, and D, as shown above. The coordinates of these points are: A=(0,3), B=(2,1), C=(5/2,0), and D=(0,0). Now, let's evaluate the objective function Z=$10X+$50Y at each of these points:

Z(A)=$10(0)+$50(3)

=$150, Z(B)

=$10(2)+$50(1)

=$70, Z(C)

=$10(5/2)+$50(0)

=$25, Z(D)

=$10(0)+$50(0)=0.

Thus, we can see that the maximum value of Z is obtained at point A, where X=0 and Y=3. Therefore, the combination of X and Y that will yield the optimum for this problem is X=0 and Y=3.3.

To find the combination of X and Y that will provide a minimum for the problem Minimize Z=X+5Y subject to: 4X+3Y≥12 and 2X+5Y≥10, we need to use the same method of linear programming as above.

First, let's plot the feasible region defined by the given constraints:We can see that the feasible region is bounded by the lines 4X+3Y=12, 2X+5Y=10, X=0, and Y=0.

To find the optimal solution, we need to evaluate the objective function Z=X+5Y at each of the corner points of the feasible region, and choose the one that gives the minimum value.

Let's denote the corner points as A, B, C, and D, as shown above.

The coordinates of these points are: A=(3,0), B=(5,1), C=(0,4), and D=(0,0).

Now, let's evaluate the objective function Z=X+5Y at each of these points:

Z(A)=3+5(0)=3,

Z(B)=5+5(1)=10,

Z(C)=0+5(4)=20,

Z(D)=0+5(0)=0.

Thus, we can see that the minimum value of Z is obtained at point A, where X=3 and Y=0. Therefore, the combination of X and Y that will provide a minimum for this problem is X=3 and Y=0.

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Therefore, the area of a square with side lengths of 25 inches is 625 square inches.

To find the area of a square, we need to multiply the length of one side by itself. The formula for the area of a square is given by A = side length^2.

In this case, the given side length is 25 inches. So, we substitute 25 inches into the formula: A = (25 inches)^2.

To simplify the expression, we square the side length: A = 25^2 = 625.

The resulting value, 625, represents the area of the square. Since the area is measured in square units (in this case, square inches), we state that the area of the square with side length 25 inches is 625 square inches.

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Answer:

Train B is traveling faster.

Step-by-step explanation:

To find which train is faster, divide the distance the train traveled by the elapsed time for each train:

Train A:

Distance traveled is 12.5 meters.

Elapsed time is 1 second.

12.5 ÷ 1 = 12.5

Train A travels 12.5 meters per second.

Train B:

Distance traveled is 100 meters.

Elapsed time is 4 seconds.

100 ÷ 4 = 25

Train B travels 25 meters per second.

25 is greater than 12.5, so train B travels faster.

Step-by-step explanation:

\( log_{x}(16) = 2 \\ 16 = {4}^{2} \\ x = 4\)

Nina pay in property taxes 501. or \(5.01*10^{2}\).

A property tax, often known as a millage rate, is an ad valorem tax based on a property's value. The tax is imposed by the administrative body of the region where the property is situated. This could be the federal government, a federated state, a county, a region of land, or a municipality. The average effective property tax rate in the Lone Star State is 1.60%, making Texas' property taxes the seventh-highest in the nation. Comparing that to the current 0.99% national average will help. Property taxes in Texas cost the average homeowner $3,797 a year. It is well known that British property owners do not pay property tax. But hold on, it's too soon to celebrate because there might still be taxes to pay.

Based on the given conditions, formulate:

3340*15%

Calculate.

501

Alternative forms.

\(5.01*10^{2}\)

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A temperature change of 20°C corresponds to a Fahrenheit temperature change of 36°F. The Fahrenheit scale has a different conversion formula than the Celsius scale, resulting in a larger change in degrees for the same temperature difference.

To convert from Celsius to Fahrenheit, we use the formula: F = (C * 9/5) + 32, where F represents the temperature in Fahrenheit and C represents the temperature in Celsius.

In this case, the temperature change is given as 20°C. To find the corresponding Fahrenheit temperature change, we apply the conversion formula: F = (20 * 9/5) + 32 = 36 + 32 = 68°F.

Therefore, a temperature change of 20°C corresponds to a Fahrenheit temperature change of 68°F. Among the given answer choices, the closest option is 36°F.

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Answer:

6) 1 over 12

7) 10 over 12

8)9 over 12

6.

\(\tt \dfrac{1}{6}\times \dfrac{2}{2}=\dfrac{2}{12}\)

7.

\(\tt \dfrac{5}{6}\times \dfrac{2}{2}=\dfrac{10}{12}\)

8.

\(\tt \dfrac{3}{4}\times \dfrac{3}{3}=\dfrac{9}{12}\)

Answer:

-3<x<-1

Step-by-step explanation:

Areas under the x-axis have y-values less than 0.

As you can see in the graph, the equation is under the x-axis between -1 and -3 on the x-axis.

-1 and -3 are not included because they are exactly on 0 on the y-axis and the question is asking for numbers that are LESS than 0.

Answer:

x³ + x²y - 2xy² - xy + y²

Step-by-step explanation:

Given

(x - y)(x² + 2xy - y)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x² + 2xy - y) - y(x² + 2xy - y) ← distribute both parenthesis

= x³ + 2x²y - xy - x²y - 2xy² + y² ← collect like terms

= x³ + x²y - 2xy² - xy + y²

Answer:

as below

Step-by-step explanation:

(x-y)(\(x^{2}\)+2xy-y)

\(x^{3}\)+2\(x^{2}\)y-xy-\(x^{2}\)y-2x\(y^{2}\)+\(y^{2}\)

\(x^{3}\)+\(x^{2}\)y-xy-2x\(y^{2}\)+\(y^{2}\)

The equation is \(\frac{1}{2}x + \frac{1}{2}x\)

Let the amounts of water that Sue's water bottle holds = x

According to the question,

given that,

Sue's water bottle holds the water = \(\frac{1}{2}x + \frac{1}{2}x\) = \(\frac{2}{2}x\) = x

Thus, assumption is true

Hence, the equation is \(\frac{1}{2}x + \frac{1}{2}x\)

In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an ‘equal’ sign. The most basic and simple algebraic equations consist of one or more variables in math.

Different Types of Equations:

Some of the math equations used in algebra are:

Linear Equation

A linear equation may have more than one variable. A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.

Quadratic Equation

This is a second-order equation. In quadratic equations, at least one of the variables should be raised to exponent 2.

Example:

\(a x^{2}\) + b x + c = 0

Cubic Equation

This is a third-order equation. In cubic equations, at least one of the variables should be raised to exponent 3.

Example:

\(a x^{3}\) + \(b x^{2}\)+ cx + d = 0

\(a^{3}\) – 27 = 0

Rational Equation

A rational equation is an equation that contains fractions with a variable in the numerator, denominator, or both.

Example:  

\(\frac{x}{2}\) = \(\frac{x + c}{4}\)

How to prove an equation

One way to prove that an equation is true is to start with one side (say, the left-hand side) and to convert it, by a sequence of equality-preserving transformations, into the other side. But remember that a proof must be easy to check, so each step deserves a justification. We keep the steps elementary, based on known facts of algebra. Also, a proof should always start with a statement of the claim that is being proved.

.

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This is the standard form equation \(\frac{(x - 10)^2}{100} + \frac{(y + 10)^2}{-100} = 1\)

What is the ellipse?

The equation for an ellipse is typically written as x² a²  + y² b² = 1. x²  a² + y² b²  = 1. An ellipse with its origin at the center is defined by this equation. The ellipse is stretched further in both the horizontal and vertical directions if a > b, a > b, and if b > a, b > a, respectively.

The standard form of the equation of an ellipse with center (h, k)and major axis parallel to the x-axis is:

\(\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1\)

where,

a > b

the length of the major axis is 2a

the coordinates of the vertices are (h±a,k)

the length of the minor axis is 2b

the coordinates of the co-vertices are (h,k±b)

the coordinates of the foci are (h±c,k),

where c² = a² − b².

so,

\(\frac{(x - 10)^2}{100} + \frac{(y + 10)^2}{-100} = 1\)

Hence, this is the standard form equation \(\frac{(x - 10)^2}{100} + \frac{(y + 10)^2}{-100} = 1\).

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This is the derivative of the given function f(x) = (3x + 1)^5(3x - 1)^6 using the Generalized Power Rule.

To find the derivative of the function f(x) = (3x + 1)^5(3x - 1)^6 using the Generalized Power Rule, we will need to apply both the Product Rule and the Chain Rule.

The Product Rule states that if you have a function f(x) = g(x)h(x), then f'(x) = g'(x)h(x) + g(x)h'(x).

First, let's identify g(x) and h(x) in your function:
g(x) = (3x + 1)^5
h(x) = (3x - 1)^6

Next, we'll find the derivatives g'(x) and h'(x) using the Chain Rule, which states that if you have a function y = [u(x)]^n, then y' = n[u(x)]^(n-1) * u'(x).

For g'(x):
u(x) = 3x + 1
n = 5
u'(x) = 3
g'(x) = 5(3x + 1)^(5-1) * 3 = 15(3x + 1)^4

For h'(x):
u(x) = 3x - 1
n = 6
u'(x) = 3
h'(x) = 6(3x - 1)^(6-1) * 3 = 18(3x - 1)^5

Now, we apply the Product Rule:
f'(x) = g'(x)h(x) + g(x)h'(x) = 15(3x + 1)^4(3x - 1)^6 + (3x + 1)^5 * 18(3x - 1)^5

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Answer:

x ≤ 3

Step-by-step explanation:

Given

2(4 + 2x) ≥ 5x + 5 ← distribute parenthesis on left side

8 + 4x ≥ 5x + 5 ( subtract 4x from both sides )

8 ≥ x + 5 ( subtract 5 from both sides )

3 ≥ x , then

x ≤ 3

Answer:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

10/1÷5/6

Applying the fractions formula for division,

  10×6  

= --------

    1×5

=60/5

Simplifying 60/5, the answer is

=12

Answer:

1.2

Step-by-step explanation:

5/6=8.333

10/8.3333

answer:

7.65, 7.321, 7.3, 7.065

explanation:

on a number line, these numbers would be in order as shown above from right to left (decreasing value)

Answer:The order for the given decimal numbers, from the greatest to the least, is: D. 7.65, 7.321, 7.3, 7.065.

Step-by-step explanation:

Order the following numbers from greatest to least: 7.321, 7.3, 7.065, 7.65

7.065, 7.3, 7.321, 7.65

7.3, 7.321, 7.065, 7.65

7.321, 7.3, 7.65, 7.065

this is correct--> 7.65, 7.321, 7.3, 7.065

In the equation 4y-12x=36 the solution of y is 9+3x

The given equation is 4y-12x=36

Four times of y minus twelve times of x equal to thirty six

We have to solve for y

Add 12x on both sides

4y=36+12x

Four times of y equal to thirty six plus twelve times of x

Divide both sides by four

y=36/4 +12x/4

y=9+3x

Hence, the solution of y is 9+3x in the equation 4y-12x=36

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Answer:

Inverse property of multiplication implies that when two number are multiplied, the result is 1. 4 + (-4) = 0. here in this equation is when we multiply 4 and - 4 the answer will not be 1.-8 + (-3) = -3 + (-8) This equation shows the property of multiplicative inverse. The 2 nd equation is showing the inverse of the multiplication property.

Answer:

division

Step-by-step explanation:

because multiplication is the method of something times more by a certain value, if we reverse that effect we divide something.

edit: The dude above might be correct more, cause I think

I answered that wrongly sorry

Answer:

HI

Step-by-step explanation:

WHAT IS THAT

Answer:

10 (In khan academy)

Step-by-step explanation:

The sum of all edges of the regular quadrilateral Pyramid is approximately 66.68 cm.

The sum of all edges of a regular quadrilateral pyramid, we need to determine the number of edges in the pyramid and then calculate their total length.

A regular quadrilateral pyramid has a base that is a regular quadrilateral, meaning all sides of the base have the same length. Let's assume that each side of the base has a length of "a" cm.

The perimeter of the base is given as P = 30 cm, so each side of the base measures 30 cm divided by 4 (since there are four equal sides) which is 7.5 cm.

Now, let's consider the lateral face of the pyramid. A regular quadrilateral pyramid has four lateral faces, each of which is an isosceles triangle. The perimeter of a lateral face is given as 27.5 cm. Since there are three edges in each lateral face, the length of each edge is 27.5 cm divided by 3, which is approximately 9.17 cm.

Therefore, the sum of all the edges in the pyramid is calculated as follows:

Sum of edges = (4 × a) + (4 × 9.17)

Since we know that each side of the base (a) is 7.5 cm, we can substitute this value into the equation:

Sum of edges = (4 × 7.5) + (4 × 9.17)

            = 30 + 36.68

            = 66.68 cm

Hence, the sum of all edges of the regular quadrilateral pyramid is approximately 66.68 cm.

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Answer:

associative property which is basically saying if 208+499=499+208 then 499+208=208+499

Total length of wire = 8.33 + 6.67 + 5.33 + ...20 terms= 100[2 - 0.8^20] / [1.2]≈ 80.99 feet Since the total length of wire required is less than the available wire, Sonja will have enough wire.

Given, Sonja cuts 100 inches for the first piece, 80 inches for the second piece, and 64 inches for the third piece. We need to find the explicit formula for the nth piece.We can see that Sonja is cutting wire in decreasing order of 20%.So, the explicit formula for the nth piece can be given by an = a1 * r^(n-1)where a1 = 100 and r = 0.8 Thus, the explicit formula for the nth piece can be given byan = 100 * (0.8)^(n-1)Now, we need to find if Sonja has enough wire for the mobile as she only has 40 feet of wire to use for the project and wants to cut 20 pieces total for the mobile using her pattern.We know that 1 inch = 0.0833 feet 100 inches = 100 * 0.0833 feet = 8.33 feet80 inches = 80 * 0.0833 feet = 6.67 feet64 inches = 64 * 0.0833 feet = 5.33 feet Now, we can find the total length of wire Sonja needs to cut 20 pieces. Therefore, she can complete the mobile using the given pattern.

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The probability that a fair coin will show tails exactly 3 times in 7 tosses is approximately 0.273.

The probability of getting tails in a single coin toss is 1/2, and the probability of getting heads is also 1/2 since the coin is fair.

Using the binomial probability formula, the probability of getting exactly 3 tails in 7 tosses can be calculated as:

P(3 tails) = (7 choose 3) * (1/2)^3 * (1/2)^(7-3)

P(3 tails) = (7! / (3! * (7-3)!)) * (1/2)^7

Simplifying the expression, we get:

P(3 tails) = 35 * (1/2)^7

P(3 tails) ≈ 0.273

Therefore, the probability that a fair coin will show tails exactly 3 times in 7 tosses is approximately 0.273, rounded to three significant digits.

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