what is the answer!!!??

Length of the Panama canal in yards = 88000 yards.

The act of measuring an object's length in one or more specified units which may be standard or non-standard is referred to as length measurement.

Understanding and being able to measure the lengths of items is a very important ability since it enables us to engage with our surroundings in a more structured way.

Units of lengths and their values.

1 meter = 100 cm

1 kilometer = 1000 cm

1 mile = 1760 yards

1 nautical mile = 1.151 miles  

1 furlong = 220 yards  

Given that, The Panama Canal is about 50 miles long.  

As we know, 1 mile = 1760 yards

=> 50 miles = 50 × 1760 yards = 88000 yards

Therefore,

Length of the Panama canal in yards = 88000 yards.  

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Answer:

6,006.07

Step-by-step explanation:

6000+6=6006

6006+0.07= 6,006.07

Answer:

x-axis

Step-by-step explanation:

because the domain refers to the set of possible input values

Answer:

50

Step-by-step explanation:

If u look below the second point, it shows 50.

Therefore, the answer is 50

Cheers

Half the time, an odd number will come up on the roulette wheel.

Calculating the likelihood of an event occurring is done in mathematics using probability.

Calculating the likelihood of an event occurring is done in mathematics using probability.

It is somewhere between 0 and 1, or 0 and 100%, where 0 is unlikely and 1 or 100 is a guarantee.

By dividing an event's likelihood by the total probability, the probability is determined.

Three of the six digits in the provided question are odd, while three are even.

3/6 = 1/2 is the likelihood that the spinner will land on an odd number.

The complete question is,

How likely is it that a spinner will produce an odd number?

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Naoko could have made a down payment of $500 instead of $950.

Payment is usually made in exchange for goods or services, and it is an essential part of any transaction. Payment helps to create trust between parties, and it is a key factor in keeping businesses and economies running smoothly.

This would have resulted in a smaller monthly payment of $253.37, a savings of $49.09 each month. In the long run, this would amount to a total savings of $1,964.36 over the course of the 4-year lease.

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Answer: x=1, y=4

Step-by-step explanation:

First, add these equations to eliminate y

x+y=5

x-y=-3

2x=2

Then solve 2x=2 for x

2x/2=2/2

x=1

Now we plug the x back to solve for y.

x+y=5

1+y=5

-1    -1

y=4

The thickness of each card is 0.038 centimetres.

The stack of 50 cards is 1.9 centimetres thick. A ll the card in the stack have the same thickness. The thickness of one of the cards can be calculated as follows:

Therefore, each of the thickness of the cards are the same.

Hence,

thickness of each card = thickness of the whole stack / number of cards

Hence,

thickness of the whole stack  = 1.9 cm

number of cards = 50

Therefore,

thickness of each card = 1.9 / 50

thickness of each card = 0.038 cm

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Answer:

1. 3 3/4 in

2. 4 1/4

Step-by-step explanation:

look at graph

The 3 acute angles are the angles that all measure less than 90°.

An acute angle is described as an angle that measures less than 90 degrees i.e. measures between 0° to 90°. Some examples are 60°, 30°, 45 degrees, etc. A triangle constructed by all the interior angles measuring less than 90° is called an acute triangle. For example, an equilateral triangle is an acute triangle because the interior angles measure 60°.

Some more examples of acute angle degrees are 63°, 31°, 44°, 68°, 83°, and 85°. Hence, the acute angle lies within the ranges from 0° to less than 90°.

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Answer:

(-3,-3)

Step-by-step explanation:

The point (-3,0) is on the graph of the function y = f(x), the point cannot be on the graph of y = f(x) is (-3, -3). So Option B is correct

Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).

Vertical line test:-

Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.

If we get more images then it will not be a function.

For example, let us take, y² = 4ax

y = ±√4ax

For single value of x we get two values of y

Hence, it will not be a function.

Given that,

A function y = f(x)

A point which lies on the function (-3, 0)

for x = -3  value of y is equal to 0

So, according to definition of function for x  = -3, there will be only one value of y which is equal to zero,

Therefore, the point (-3, -3) can not lie on the function y = f(x)

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The three form of equations of a line:

point-slope form,

standard form,

and slope-intercept form.

We know that the standard form of the equation of a straight line is ax + by + c = 0, where a, b, c are real numbers.

Sometimes equation of line is of the form y = mx + b where m is the slope (or gradient) and b is the y-intercept (the height at which the line crosses the y -axis)

This form of equation of line is also known as slope-intercept form of line.

If we know the slope of the line and a point (x₁, y₁) , then the equation of line passing through point (x₁, y₁) with slope m is:

(y -  y₁) = m(x - x₁)

Thus, there are three major forms of equation of line are: point-slope form, standard form, and slope-intercept form.

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The percentage of girls in the group of 250 middle school students is 40%.
The percentage of students who prefer playing video games is 36%.

Percentage is a way of expressing a number as a fraction of 100. It is often denoted using the percent sign (%). A percentage can represent a proportion or part of a whole. For example, if a person scored 80% on a test, it means they got 80 out of a possible 100 questions correct.

The percentage of the students who are girls is 250/250 x 100 = 100%.

The percentage of the students who prefer playing video games is (43+62)/250 x 100 = 50%.

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Answer:

y = 1/2x - 1

Step-by-step explanation:

we can solve by first finding the 'slope'

we can solve the equation for 'y' to get:

2y = -4x + 10

y = -2x + 5

the coefficient of the x-value, -2, represents the slope

but the slope of a line perpendicular to another is the inverse reciprocal so we must use 1/2 for the slope

now we can input '8' for 'x' and '3' for 'y' and '1/2' for 'm' into the

formula y = mx + b

3 = 1/2(8) + b

3 = 4 + b

-1 = b

'b' is the point at which our line intersects the y-axis

answer:  y = 1/2x - 1

The ordered pair is (x,y) that is (12/11 , 57/33 ) from the given two expressions.

What is Algebraic expression ?

Algebraic expression can be defined as the combination of variables and constants.

Given,

Expressions,

y <=  2/3 x + 1

y >=  -1/4x + 2

From the Given expressions

we can say that ,

2/3x + 1  = -1/4 x + 2

2/3 x + 1/4 x = 2-1

x (2/3 + 1/4) = 1

x ( 8 + 3 / 12) = 1

x ( 11/12) = 1

x = 12/ 11

Substitute the value of x in the any expression,

we get,

y = 2/3 * 12/11 + 1

y =24/33 + 1

y = 24+33 / 33

y = 57/33

Hence, The ordered pair is (x,y) that is (12/11 , 57/33 ) from the given two expressions.

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Answer: 4 different combinations

Step-by-step explanation:

20% is the same as saying 2/10

In mathematics, a straight line can be represented by a linear function, which is defined as a function of the form y = mx + b, where m is the slope of the line and b is the y-intercept.

A linear function is a function whose graph is a straight line.

A straight line has the property that any two distinct points on the line can be used to define its slope, which is the ratio of the change in the y-coordinate to the change in the x-coordinate.

Linear equations can also be written in other forms, such as Ax + By = C, where A and B are not equal to zero.

The slope-intercept form is the most common form of linear equation used in algebra and it's the most easy to understand and use.

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For k = 2 the following linear equation has no solution. This can be solved by using systems of equation.

Simultaneous equations or system of equations, multiple equations in algebra must be solved concurrently (i.e., the solution must satisfy all the equations in the system). There must be an equal number of equations and unknowns for a system to have a singular solution. There is no certainty of a solution even then.

When there is more than one unknown and there is sufficient data to set up equations in those unknowns, systems of equations are utilized to solve problems. In general, we require sufficient knowledge to construct an equations in n unknowns when they are unknowns.

We know that the system of equations,

a₁x + b₁y = c₁

a₂x + b₂y = c₂

has no solution, if: a₁/a₂ = b₁/b₂ = c₁/c₂

here, a₁ = 3, b₁ = 1, c₁ =1 and a₂ = 2k - 1, b₂ = k - 1, c₂ = 2k + 1

So, the given system of equations will have no solution, if:

3/(2k - 1) = 1/(k - 1) = 1/(2k + 1)

3/(2k - 1) = 1/(k - 1) and 1/(k - 1) = 1/(2k + 1)

now,

3/(2k - 1) = 1/(k - 1)

or, 3k - 3 = 2k - 1

or, k = 2

Clearly, for k = 2  we have: 1/(k - 1) = 1/(2k + 1)

Hence, the given system of equations will have no solution, if k = 2.

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The complete question is as follows:

For what value of k the following system of linear equations has no solution

3x + y = 1

(2k - 1)x + (k - 1)y = 2k + 1

Required measures of the vertex angle ACE in the given isosceles trapezoid ABDE formed as a part of an isosceles triangle ACE is equal to 70°.

As given in the question,

In the isosceles triangle ACE,

Diagram is attached.

AC ≅CE

And isosceles trapezoid ABDE is a part of isosceles triangle ACE.

A-B-C and E - D- C

AB ≅ ED

BC ≅ DC

⇒∠DBC ≅ ∠BDC ( opposite angles to the equal sides )

It is a trapezoid one pair of side is parallel to each other,

⇒ BD || AE

Measure of ∠ABD = 125°

⇒∠ABD + ∠DBC = 180°

⇒∠DBC = 55°

⇒∠BDC = 55°

In ΔBDC,

∠BDC + ∠DBC + ∠DCB = 180°

⇒∠DCB = 70°

⇒∠ACE = 70° ( A-B -C , E- D - C )

Therefore, the measure of the vertex angle ACE in the given isosceles triangle with given conditions is equal to 70° .

The above question is incomplete, the complete question is:

The isosceles trapezoid ABDE is part of an isosceles triangle ACE. Find the measure of the vertex angle of ACE with given measure of angle ABD = 125°.

Diagram is attached.

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Answer:

9974

Step-by-step explanation:

If 9973 is a prime number, then the only factors of 9973 is itself and one, therefore the factors are, "9973" and "1", and if we want to find the sum of that, we add it together to get 9974.

For given equation f(x)=9x² + 5x + 3, a = 9, b = 5 and c = 3

Also, the parabola opens upwards

We know that the standard form of quadratic function is f(x) = ax² + bx + c, where, a, b, c are real numbers with a ≠ 0

We have been given a quadratic equation f(x)=9x² + 5x + 3

Comparing above equation with the standard quadratic equation  f(x) = ax² + bx + c, we get a = 9, b = 5 and c = 3

We know that the graph of quadratic equation is a parabola.

So,  f(x)=9x² + 5x + 3 represents a parabola.

To determine whether the parabola opens up or down, we need to consider the coefficient 'a'.

if the leading coefficient 'a' is greater than zero, the parabola opens upward, and if the leading coefficient <  0, the parabola opens downward.

Here, a = 9 whch is greater than 0

So, the parabola f(x)=9x² + 5x + 3 open upward.

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Multiplicative inverse of -3/4's is -4/3

A number that, when multiplied by the inputted number, produces the result 1 is said to be the multiplicative inverse of that number. It is a number's reciprocal according to the multiplicative inverse definition. A^-1 or denotes the multiplicative inverse of the number "a".

The multiplicative inverse of a number x is represented by x^-1, which has the property that when multiplied by the original number, it has a value of 1. For instance, 2^-1 is the multiplicative inverse of 2, as it meets the formula: 2 x 2^-1 = 2 x 12 = 1. The reciprocal of a number is another name for it.

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Their average daily balance rounded to the nearest cent is 319.42.

The average daily balance is calculated by adding up the balances for each day of the billing cycle and dividing the result by the total number of days in the period. The customer's financing fee is then calculated by multiplying the balance by the monthly interest rate, which is determined by dividing the cardholder's APR by 12.

A person has a balance of $3,290 on their credit card for 9 days.

3290 / 9 = 365.55

They then make a purchase and carry a balance of $ 4,490 for the next 11 days.

4,490/11 = 408.18

Then this person makes a payment and carries a balance of $2,030 for the remaining 11 days in the month.

2030/11 = 184.54.

Their average daily balance rounded to the nearest cent is

365.55 + 408.18 + 184.54 / 3 = 319.42.

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The actual flag is 2.5 times wider than Malik's rectangular  model, meaning that it is 250% wider than the model he created.

Step 1: Calculate the width of Malik's model: 1010 inches

Step 2: Calculate the width of the actual flag: 2525 inches

Step 3: Divide the width of the actual flag by the width of Malik's model: 2525 / 1010 = 2.5

Malik created a model of a rectangular flag that was 1010 inches long. However, the actual flag was 2525 inches long. To figure out how many times wider the actual flag was than Malik's model, we needed to calculate the ratio of the widths. To do this, we divided the width of the actual flag (2525 inches) by the width of Malik's model (1010 inches). This gave us a ratio of 2.5, which means that the actual flag was 2.5 times wider than Malik's model. This can also be expressed as 250%, since 2.5 is the same as 250%. This means that the actual flag is 250% wider than the model created by Malik.

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Answer: 160

Step-by-step explanation:

32/w = 20/100 = 32 x 100/20xw = 3200 divided by 20 = 160

A polynomial is an equation made up of variables, constants, and exponents that are mixed using mathematical operations including addition, subtraction, multiplication, and division (No division operation by a variable).

Polynomials are sums of k⋅xⁿ terms, where k can be any number and n can be any positive integer. 3x+2x-5, for example, is a polynomial. A primer on polynomials. This video defines words such as degree, standard form, monomial, binomial, and trinomial.

A polynomial may be categorized into four categories based on its degree. There are four types of polynomials: zero polynomial, linear polynomial, quadratic polynomial, and cubic polynomial.

A polynomial function is one that uses only non-negative integer powers or positive integer exponents of a variable in an equation such as the quadratic equation, cubic equation, and so on. For example, 2x+5 is a polynomial with an exponent of one.

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Answer:

To find out how many millions you can get for 5 dollars, we need to divide the total cost of 5 dollars by the cost per million.

The cost per million is 30 cents, which can also be written as $0.30.

So we can divide 5 by 0.30 to find out how many millions we can get for 5 dollars:

5 / 0.30 = 16.666 (approximately)

So, we can get approximately 16.666 millions for 5 dollars.

well, the radio was marked up by 30%, so the marked up price is 600 plus 30% of that

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{30\% of 600}}{\left( \cfrac{30}{100} \right)600}\implies 180~\hfill \stackrel{\textit{marked up price}}{780}[/tex]

but he had a sale going on, so it reduced it by 10%

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{10\% of 780}}{\left( \cfrac{10}{100} \right)780}\implies 78~\hfill \underset{\textit{sales price}}{\stackrel{\textit{reduced price}}{702}}[/tex]

so, what's the profit?

well, hell he bought it for 600 bucks, and sold it for 702 bucks, so that's a profit of 102 bucks, if we take 600(origin amount) to be the 100%, what's 102 off of it in percentage anyway?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 600 & 100\\ 102& p \end{array} \implies \cfrac{600}{102}~~=~~\cfrac{100}{p} \\\\\\ \cfrac{ 100 }{ 17 } ~~=~~ \cfrac{ 100 }{ p }\implies 100p=1700\implies p=\cfrac{1700}{100}\implies \stackrel{\textit{17\% in profit}}{p=17}[/tex]

Similar triangles are two triangles that have the same shape but not necessarily the same size.

1. The corresponding angles are equal.

2. The corresponding sides are in proportion.

Similar triangles are two triangles that have the same shape but not necessarily the same size. They can be congruent, meaning they have the same size and shape, or they can be similar without being congruent. Two main properties of similar triangles are:

1. The corresponding angles are equal. This means that the angles of one triangle are congruent (or equal) to the angles of the other triangle.

2. The corresponding sides are in proportion. This means that the sides of one triangle are proportional to the sides of the other triangle. For example, if one side of a triangle is twice as long as another side, then the corresponding sides of the other triangle will also be twice as long.

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