The constant of proportionality equation is Y=KX.
(A) True
B) False

The conclusion sum of the measures of the angles 4, 5 and 11 is equal to 180 degrees not be accurate to the drawing.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Supplementary angles are those angles that sum up to 180 degrees

so angle 1 and 4 are supplementary angles.

Congruent angles are two or more angles that are identical to each other

so angles 10 and 1 are congruent.

angles 5 and 7 are congruent.

The three interior angles of a triangle will always have a sum of 180°.

The sum of the measures of the angles 4, 5 and 10 is equal to 180 degrees.

The sum of the measures of the angles 4, 5 and 11 is not equal to 180 degrees.

Hence, the conclusion sum of the measures of the angles 4, 5 and 11 is equal to 180 degrees not be accurate to the drawing.

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Rebecca and Mohammed sold 16 shirts and 6 hats.

To solve this problem, we can write an equation on the information provided. Let x be the number of shirts sold and y be the number of hats sold. Such that:

x + y = 22 {the total number of pieces sold}

12x + 9y = 350 - 125 {the total profit, including the savings they started with}

We can solve for one variable in terms of the other using the first equation:

x = 22 - y

Then we can substitute this expression into the second equation:

12(22 - y) + 9y = 350 - 125

Simplifying this equation:

264 - 12y + 9y = 350 - 125

y = 6

Therefore, Rebecca and Mohammed sold 6 hats and 16 shirts

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The truth also called as  property of sentences , assertions and beliefs.

What is Declaration of truth and false in the mathematics?

Declaration of truth and false in mathematics are 1 and 0 respectively.

Questions on fact and falsity saturate our lifestyles as humans. while we may not continually understand what's actual, we've intuitive thoughts of what it might mean for some thing to be actual and work very difficult to get “nearer” to it. We often make claims approximately what's authentic apparently with little to no problem. but we find ourselves in a consistent conflict with falsehoods. Our paintings, our love lives, or even our most loved leisure times are laden with discovering fact over falsehood. Is that concept real.

Hence, The truth is property of sentences , assertions and beliefs.

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The function f(x) = x² is called  as the quadratic function.

In math the term function is called as the relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output.

Here we need to identify the function type of the given function f(x) = x².

As we all know that the polynomial function with one or more variables in which the highest exponent of the variable is two is known as quadratic function.

The general form of the quadratic function is written as,

=>  f(x) = ax² + bx + c

where the value of a ≠ 0.

Based on the general form we have identified that the given function

=> f(x)  = x²

is known as the quadratic function.

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The standard form of linear equation is written as ax + by = c, where a, b, and c are real numbers and a and b are not both zero.

In this form, the coefficients a and b are the slopes of the line and c is the y-intercept.

In the equation x = -5, the coefficient of x is 1 and the constant is -5. This equation can be written as 1x + 0y = -5, which is the standard form of the equation.

To solve this equation, we can first subtract 5 from both sides:

1x + 0y - 5 = -5 - 5

1x + 0y = 0

This is the simplest form of the equation and can be used to find the x-intercept of the line. By setting y = 0 and solving for x, we get x = 0. This means that the x-intercept of the line is (0, -5). We can also use this equation to find the slope of the line. The slope of the line is equal to the coefficient of x, which is 1. This means that the slope of the line is 1.

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Answer: 67 peeps

Step-by-step explanation:

The probability of selling at least 30 widgets is 0.0468.

The problem is asking us to use a binomial distribution to estimate the probability of selling at least 30 widgets given the information provided.

A binomial distribution is a probability distribution of the number of successes in a fixed number of trials.

Where n = 200 (number of customers arriving and purchasing a widget from the store each day) and

p = 0.1667 ( probability of a customer buying a widget)

We are looking for the probability of selling at least 30 widgets, which is equivalent to finding the probability of selling 30 or more widgets.

This can be calculated using the cumulative probability formula for a binomial distribution:

P(X >= 30) = 1 - P(X < 30) = 1 - Σ (nCx)(p^x)(1-p)^(n-x) from x=0 to 29

We can use a calculator or a software to calculate this probability. The result is 0.0468 rounded to 4 decimals.

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The graph of the equation, x = 3, would be a vertical line that intersects the x axis at x = 3.

The slope of the graph would be undefined.

Vertical lines have an undefined slope because slopes are based on the change in the horizontal climb of a line. Seeing as vertical lines have no horizontal change, it means that the slope in undefined.

The line, x = 3 is a vertical line because the x - axis is the horizontal line. A line that would intersect it at x = 3 would therefore have to be a vertical line which is straight or it would not remain at x = 3 in perpetuity.

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The equation that models the problem is given as follows:

s = 120/1.5.

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

For this problem, the variables are given as follows:

Hence the equation used to obtain the number of stripes that Murphy will paint is given as follows:

1.5s = 120

s = 120/1.5

s = 80. (solution).

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The slop-intercept form of 2x + y = -2 is y = -2x - 2.

The slope-intercept form of a linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis).

To convert the equation 2x + y = -2 into slope-intercept form, we can follow these steps:

1. Isolate y on one side of the equation. We can do this by subtracting 2x from both sides: y = -2x - 2

2. Now we have y = -2x - 2, which is in slope-intercept form.

So, the slope-intercept form of 2x + y = -2 is y = -2x - 2. The slope of the line is -2 and the y-intercept is (-2,0).

Therefore, the slope-intercept form of the equation 2x + y = -2 is y = -2x - 2.

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The given expression in standard form is 8a-28b+15c.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression is 4(2a)+7(-4b)+(3×c×5)

Now, 8a-28b+15c

Therefore, the given expression in standard form is 8a-28b+15c.

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"Your question is incomplete, probably the complete question/missing part is:"

Write the expression in standard form: 4(2a)+7(-4b)+(3×c×5).

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Answer:

The geometric sequence is 15, 9, 27/5, 81/25, 243/125

Step-by-step explanation:

1 ) P be Pepperoni, Q be Quail, R be Ricotta cheese, S be Sausage.

To translate Geoff's order using Discrete Math,

2 ) Geoff is a truth-teller. Based on his last statement, where ricotta (R) is implied from pepperoni (P) or quail (Q) , we would have no way of knowing if R is true/false if (P or Q) was false- so, R must be true if (P or Q) is false because of the whole “innocent until proven guilty” thing. therefore, since a lie in P or Q would lead to truth, Geoff must be a truth-teller because he can’t tell all lies.

Using this information, that Geoff always tells the truth.

For the third statement, if Geoff is lying then the truth is "I must have pepperoni or quail and I cannot have ricotta cheese."

~[(P ∨ Q) → R] = [(P v Q) ∧ ~R)]

Or in more general terms, ~(a → b) = (a ∧ ~b)

Which, gives us (a → b) = (~a ∨ b)

Anyhow, even if Geoff tells all lies, there is a valid statement that can be made: Pepperoni and sausage, no quail, no ricotta.

Also, if Geoff tells the truth, there's nothing that says he can't have quail with pepperoni: pepperoni, quail, and ricotta is also valid.

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Answer:

85

Step-by-step explanation:

The current age of Sam is 30 years and Harry is 10 years.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation. It will be considered as an expression.

Let Sam's age be y years and Harry's age be x years.

Sam is currently three times harry's age.

The equation formed: y = 3x

Sam's age is also 10 more than twice harry's age.

The equation formed: y = 2x + 10

Substitute the value of y from first equation in second equation:

3x = 2x + 10

x = 10

Put the value of x in first equation:

y = 3x = 3*10 = 30

Thus, the current age of Sam is 30 years and Harry is 10 years.

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The coefficient of $x^2$ when $-5x^3 - 5x^2 - 7x 1$ is multiplied by $-x^2 - 6x + 1$ and the like terms are combined is 36.

Let the first term be [tex]-5x^3 - 5x^2 - 7x + 1[/tex]

The second term be  [tex]-x^2 - 6x + 1[/tex]

When they are multiplied,

=[tex](-5x^3 - 5x^2 - 7x + 1)[/tex]  [tex](-x^2 - 6x + 1)[/tex]

= [tex]5x^5 + 30x^4 - 5x^3+5x^4+30x^3-5x^2+7x^3+42x^2-7x-x^2-6x+1[/tex]

= [tex]5x^5+35x^4+32x^3+36x^2-13x+1[/tex]

Therefore coefficient pf x² is +36.

A coefficient in mathematics is a multiplicative factor in a polynomial term, a series term, or an expression. It is typically a number, but it can also be any expression. They may also be referred to as parameters if the coefficients are variables in and of themselves.

Like terms in mathematics are summands in a sum that differ only by a little number. Regrouping similar concepts is possible by adding their coefficients. Like terms in a polynomial equation are those that, possibly with different coefficients, contain the same variables raised to the same powers.

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The measure of reference angles to problems are,

7. Ф = 41.81°.

8. Ф = 64.23°.

10. Ф = 51.31°.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

7. With respect to the reference angle opposite and the hypotenuse is given,

sin = opposite/hypotenuse.

sinФ = 4/6.

Ф = sin⁻¹(4/6).

Ф = 41.81°.

8. With respect to the reference angle opposite and adjacent is given,

tan = opposite/adjacent.

tanФ = 29/14.

Ф = tan⁻¹ (29/14).

Ф = 64.23°.

9. With respect to the reference angle opposite and the hypotenuse is given, Similar to problem 7.

10. With respect to the reference angle hypotenuse and adjacent is given,

cos = adjacent/hypotenuse.

cosФ = 25/40.

Ф = cos⁻¹(25/40).

Ф = 51.31°.

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The solution of the equation in the interval [0, 2π] is π or 180.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Given the equation;

Sinx = cosx + 1

Then Square both sides of the equation;

Sin²x = (cos x + 1)²

Sin²x = cos²x + 2cos x + 1

Since Sin²x = 1 - cos²x

1 - cos²x = cos²x + 2cos x + 1

Collect like terms;

1-1-cos²x-cos²x-2cos x  = 0

-2cos²x-2cos x = 0

-2cos²x = 2cos x

-cosx = 1

cos x = -1

x = 180 degrees

Hence, the value of x = π

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Answer:

r< -0.9

Step-by-step explanation:

Just subtract 0.2 from both sides...

Answer: C

Step-by-step explanation:

cube root of 8x^6y^12

equals 2x^2y^4

There are 2 pounds of apples Hannah buy for the cost for her purchase to be the same from both stores.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

At Giant Eagle, a box of cereal costs $2.89 and apples cost $1.29 per pound.

And, At Shop & Save, the apples are $1.05 per pound and a box of

cereal is $3.37.

Now,

Let number of pounds of apples can Hannah buy for the cost for her purchase to be the same from both stores = x

So, We can formulate;

For, At Giant Eagle, a box of cereal costs $2.89 and apples cost $1.29 per pound.

The total cost is,

⇒ $2.89 + $1.29x

And, For Shop & Save, the apples are $1.05 per pound and a box of

cereal is $3.37.

Total cost is,

⇒ $3.37 + $1.05x

Now, We can equate both the equation to find the number of pounds of apple to buy.

⇒ $3.37 + $1.05x = $2.89 + $1.29x

⇒ 3.37 + 1.05x = 2.89 + 1.29x

⇒ 3.37 - 2.89 = 1.29x - 1.05x

⇒ 0.48 = 0.24x

⇒ x = 0.48 / 0.24

⇒ x = 2

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We can set up a system of equations to represent the information given:

What does the term "system of equations" mean?

simultaneous equations, system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

x + y = 10 (the total number of bananas and peaches is 10)

0.5x + 1.5y = 9 (the total cost of the bananas and peaches is $9)

To graphically solve this system, we can plot the two equations on the same coordinate plane. The first equation, x + y = 10, represents a line with a slope of -1 and a y-intercept of 10. The second equation, 0.5x + 1.5y = 9, represents a line with a slope of -3 and a y-intercept of 9.

When the two lines intersect, we have the solution to the system of equations. The point of intersection represents the values of x and y that satisfy both equations. We can see that the solution is x=4, y=6. This means that Houa bought 4 bananas and 6 peaches.

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An estimate of the total number of televisions that would need repairing in Clover City is A. Between 546,000 and 972,000 televisions.

Thanks to the research by the local television repair shop, we know that on average, 2.53 ± 0.71 per family will need to be fixed.

The lower bound of this mean range would be:

= ( Mean - error ) x Number of households

= ( 2. 53 - 0. 71 ) x 300, 000

= 546, 000 televisions

The upper bound of the mean range is:

= ( 2. 53 + 0. 71 ) x 300, 000

= 972, 000 televisions

The estimate for televisions to be repaired is therefore between 546,000 and 972,000 televisions.

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Answer:

x = 1

Step-by-step explanation:

Since all the fractions have a common denominator of 3, you can multiply both sides by 3 to get rid of the denominator. (Make sure you distribute)

[tex]\frac{7}{3}x+\frac{1}{3}x=1+\frac{5}{3}x[/tex]

[tex]3(\frac{7}{3}x+\frac{1}{3}x)=3(1+\frac{5}{3}x )[/tex]

7x + x = 3 + 5x

8x = 3 + 5x

8x - 5x = 3 + 5x - 5x

3x = 3

x = 3/3

x = 1

The Height of the plant is (8-x) inches

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

Given:

A plant measured x inches tall last week, and 8 inches tall this week.

So, to find the exact growth of plant from x inches to 8 inches then we have to find the difference between these two heights.

Then, the height of tree per week

= height of plant this week - height if plant previous week.

= 8- x

Hence, the expression is 8-x.

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Answer:

g = 59⁰

h = 9

(by using opposite sides and angles of a parallelogram are equal.)

Answer:

0.038cm

Step-by-step explanation:

50 cards
1.9cm thick

1.9/50=0.038cm

Within a yard, there are 36 inches (yd). In both the US customary and imperial systems of measurement, length is expressed in both inches and yards.since there are 313 by 36 inches in a yard.

Within a yard, there are 36 inches (yd). In both the US customary and imperial systems of measurement, length is expressed in both inches and yards.In the United States, the United Kingdom, and its territories, these units are primarily used.

A man's belt or girdle, as it was referred as, measured a yard in length originally.King Henry I of England established the yard in the 12th century as being equal to the distance between his thumb and nose on his extended arm.

There are 36 inches today.

So, 313 yards = 11,268 inches.

There are 36 inches in one yard

You need to multiply 313 yards by 36 inches to get your answer,

which is 31336 = 11,268.

so 313 yards equal 11,268 inches

So, 313 yards = 11,268 inches.

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It would take a car 5 hours to cover 200 km at a speed of 40 km/h.

The car moves at a constant speed of 40 km/hr.

The car has to travel a total distance of 200 km.

As we know the formula of speed is distance/time,

Hence, s = d/t km/hr

So t = d/s hr

Let speed, distance and time be s, d, t respectively.

So by putting the values,

time t = 200/40 = 5 hours

Hence it can be said that the car would cover 200 km at the speed of 40 km/hr in 5 hours.

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