The length of an alligator in a zoo is 1456 feet. The Everglades National Park lists the longest alligator ever recorded in Florida at 17512 feet. Which is the difference in their lengths?

Answer:

Step-by-step explanation:

You want to identify the graphs that go with each of these functions, along with a particular point on the curve.

The equations are written here in standard form, factored form, and vertex form. (The "factored form" is sometimes called "intercept form.") Each of these forms can be analyzed for characteristics relevant to identifying the corresponding graph.

In general, we can readily identify the opening direction, based on the sign of the leading coefficient. Depending on the form, we can also identify zeros, the vertex, and the y-intercept.

The line of symmetry (x-coordinate of the vertex) of the equation in the form ax² +bx +c is x = -b/(2a). That is, it will be left of the y-axis when the coefficients 'a' and 'b' have the same sign.

The graph of equation A will be graph 4, the only one with its vertex left of the y-axis. The y-intercept is the constant: point S = (0, 9).

Equation B has a positive leading coefficient, so opens upward. The zeros of the factors are -3 and +9, so identify the places where the graph crosses the x-axis. Graph 3 is the only one that opens upward and has x-intercepts. Point R is (9, 0).

The vertex form of a quadratic is ...

  y = a(x -h)² +k . . . . . . . vertex (h, k); leading coefficient 'a'

Equation C has its vertex at (h, k) = (3, 9) and opens upward (a>0). Graph 1 is the only one matching those characteristics. Point P is the vertex, so point P is (3, 9).

Equation D is the same as equation B, but with a negative leading coefficient. That is, it opens downward and crosses the x-axis in two places, at x = -3 and x = 9. Graph 2 is matches this description. The left zero is point Q, (-3, 0).

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Answer:

y = 5x - 4

Step-by-step explanation:

1. Parallel have the same slope (equation)

- Standard form of an equation of a line: y=mx + b

m = slope

x = x-coordinate

b = y-intercept

y = y-coordinate

SLOPE = \(\frac{y_{2} -y_{1} }{x_{2}-x_{1}}\)

Given that x-2y = 5

and the line has the point:

(-3,-1)

We need to find another point to find the slope

x - 2y = 5

Let's say x = 7 and y = 1

(7, 1)

Now plug it into the slope equation

\(\frac{-3-7}{-1-1} = \frac{-10}{-2} = 5\)

Plug the slope into the standard form of an equation of a line

y = 5x + b

Plug in (7,1)

1 = 5 + b

b = -4

The answer is: y = 5x - 4

Hope this helps :)

Have a great day!

The equation we need to find will relate the amount of remaining berries to the number of batches of jam the farmer can make is 16 = 2 1/2 + 2 1/4b (option b)

To start with, we know that the farmer picks 16 quarts of berries. Out of those, 2 1/2 quarts cannot be used, which means the farmer has 16 - 2 1/2 quarts of berries that can be used to make jam.

Now, the recipe requires 2 1/4 quarts of berries to make one batch of jam. Let's represent the number of batches of jam the farmer can make with the remaining berries as "b".

Therefore, the equation we need to find will relate the amount of remaining berries to the number of batches of jam the farmer can make is written as,

=> 16 = 2 1/2 + 2 1/4b

Hence the correct option is (b).

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The time it will take for about a fourth of the original amount of P-32 remain is given as follows:

27 days.

An exponential function is defined as follows:

y = ab^x.

In which:

Considering that the initial amount is of 100, while after one day the amount was of 95, the parameters are given as follows:

a = 100, b = 95/100 = 0.95.

Hence the function for the amount remaining after x days is given as follows:

y = 100(0.95)^x.

One fourth of the amount will be remaining when y = 25, hence:

25 = 100(0.95)^x.

(0.95)^x = 0.25

xlog(0.95) = log(0.25)

x = log(0.25)/log(0.95)

x = 27 days.

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Answer:

the perimeter in unites of abc with 3, -3 is a

Answer:

18 Units

Step-by-step explanation:

According to the calculator

Answer: B. 14

Step-by-step explanation:

because 140 divided by 10 equals 14

Answer

d o                   c

Step-by-step explanation:

The exact value of is x  \(e^{4}\) - 6/5 and the value of x will be 9.720.

What is exponential?

The exponential is an example of a mathematical function that is useful in determining if something is increasing or decreasing exponentially is the exponential function. As implied by its name, an exponential function uses exponents. But take note that an exponential function does not have a variable as its exponent and a constant as its base (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).

a) In(5x + 6) = 4 exact value decimal approximation XE

ln (5x+6) = \(e^{4}\)

5x = \(e^{4}\) - 6

x =  \(e^{4}\) - 6/5

5x = e^-6 x = 5 (r) x = 9.720

Hence, The exact value of is x  \(e^{4}\) - 6/5 and the value of x will be 9.720.

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The value of angle x is 133 degree

And the equation of line be of the form,

⇒  y - y₁ = 133(x - x₁)

In the given line,

one angle is of 47 degree

And other is x degree

To find the value of x,

Since we know that,

The angle  of line is 180 degree.

Therefore,

⇒ x + 47 = 180

⇒         x = 133 degree

Therefore slope of this line be 133 degree

Now let this line is  passing through (x₁, y₁)

Hence,

The equation of  line be,

⇒ y - y₁ = (slope)(x - x₁)

⇒  y - y₁ = 133(x - x₁)

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Answer:

Step-by-step explanation:

Since we are given two points in the graph, we can use the slope equation shown below:

(y2-y1)/(x2-x1)

reading the graph left from right (1,11) will be the first point and (3,1) the second. plug in and solve!

(1-11)/(3-1) = -10/2 = -5

The slope is -5

a negative slope makes sense since the graph is leaving the first quadrant.

hope this helps!

Answer: A) -5. Graph slope.

Step-by-step explanation:

The formula to calculate the slope of the line is:

\(\boldsymbol{\sf{m=\dfrac{\Delta y}{\Delta x} \iff m=\dfrac{x_2-x_1}{y_2-y_1} }}\)

We have that the points are:

We substitute these points in the previous formula and solve:

     \(\boldsymbol{\sf{m=\dfrac{x_2-x_1}{y_2-y_1} }}\\ \\ \\ \boldsymbol{\sf{m=\dfrac{1-11 }{3-1} }}\\ \\ \\ \boldsymbol{\sf{m=\dfrac{-10}{5} }}\\ \\ \\ \boxed{\boldsymbol{\sf{m=-5}}}\)

Answer:

2a×2a

2×2×2×2

16#

This is the answer i think

Answer:Hence, the values of a 2 =9 and 2 a =8.

Step-by-step explanation:a

a^2 =3 ^2

=3∗3

=9.

2 ^a =2 ^3

=2∗2∗2

=8.

The rhetorical appeal used by Susan B. Anthony in the speech is Ethos because she creates trust by calling her audience her friends and fellow citizens to show she's just like them.

These are techniques speakers use to prove they are reliable and their words can be tursted as they should be considered to be truth. Some rethorical appeals include:

The appeal used by Susan B. Anthony is the ethos appeal as she starts her speech by saying "Friends and Fellow-citizens: I stand before you to-night, under indictment for the alleged crime of having voted" and the first sentence show she is equal to the men she is talking to which validates her words.

Note: This question is incomplete; here is the missing excerpt:

Friends and Fellow-citizens: I stand before you to-night, under indictment for the alleged crime of having voted at the last Presidential election, without having a lawful right to vote. It shall be my work this evening to prove to you that in thus voting, I not only committed no crime, but, instead, simply exercised my citizen’s right, guaranteed to me and all United States citizens by the National Constitution, beyond the power of any State to deny.

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Option D, which is the closest choice to 933.33, is 930. As a result, 930 fraction acres is a plausible estimate of the amount of acres on which Mr. Bailey will plant soybeans

A fraction is a number that represents a portion of a whole or a ratio between two quantities in mathematics. It is represented as a top number (numerator) over a bottom number (denominator) divided by a horizontal line, also known as a vinculum. The fraction 3/4, for example, represents three-quarters of a whole that has been divided into four equal parts. Proper fractions, improper fractions, and mixed numbers are all ways to express a fraction. A suitable fraction is one in which the numerator is less than the denominator, for example, 2/5.

Mr. Bailey intends to plant soybeans on 4 of every 9 acres, which equates to (4/9) of the total acres he farms.

If he intends to cultivate 2,100 acres, the number of acres planted with soybeans is:

(4/9) x 2,100 = 933.33

We must round this amount to the next whole number because he cannot plant soybeans on a fraction of an acre.

Option D, which is the closest choice to 933.33, is 930. As a result, 930 acres is a plausible estimate of the amount of acres on which Mr. Bailey will plant soybeans.

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Answer:

x = 15

Step-by-step explanation:

3 ( 2x + 5 ) = 3x + 4x

Distribute;

3 ( 2x + 5 ) = 3x + 4x

6x + 15 = 3x + 4 x

Combine like terms;

6x + 15 = 3x + 4x

6x + 15 = 7x

Inverse operations;

6x + 15 = 7x

-6x           -6x

15 = x

Answer:

volume of entire shape = 80 + 32 = 112 cubic inches

Step-by-step explanation:

area of rectangle = 80 in³

area of square pyramid = 1/3 · b² · h       (b = base)

A = 1/3 · 4² · 6  =  16 · 2  = 32 in³

Answer:

the second one. (3,-4)(6,-4)

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

because if you draw the points on a coordinate grid, you will see that there's 3 units between them

Answer:

Step-by-step explanation:

1. Cost price of bike.

Let cost price be x;

x * (100% - 8%) = 1,656

0.92x = 1,656

x = 1,656/0.92

x = L.E. 1,800

2. Selling price for 12% profit;

= 1,800 * ( 1 + 12%)

= L.E. ‭2,016‬

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

Step-by-step explanation:

Well, since the length of a month can vary in the number of days, this answer can also vary.

For example, February is only 28 days long, while December is 31 days long.

That being said, the average length of all 12 months is 30.436875 days, so if Denny left to another country on June 20th, he would most likely be back   July 19th of July 20th.

I hope this helps!

Using equation, the number of children and adult tickets sold are 33 and 78 respectively

111 people attend the concert and tickets for adults cost $3.5 while tickets for children cost $2.25 and total receipts for the concert was $347.25.

Therefore, the number of ticket sold for adult and children can be calculated as follows :

let

x = number of children ticket sold

y = number of adult tickets sold.

Therefore, the equation that represent the situation is as follows:

2.25x + 3.5y = 347.25

x  + y = 111

multiply equation(ii) by 3.5

2.25x + 3.5y = 347.25

3.5x + 3.5y = 388.5

subtract equation(i) from equation(ii)

1.25x = 41.25

divide both sides by 1.25

x = 41.25 / 1.25

x = 33

Hence,

y = 111 - 33

y = 78

Therefore,

number of children ticket = 33

number of adult ticket = 78

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Answer:

208 history books

124 chemistry books

Step-by-step explanation:

Let a = total number of books

b = number of history books

c = number of chemistry books

a = b + c

We know that a is equal to 332 and c = b - 84

Let's substitute this value to our equation and solve for b first. Now we get:

332 = b + ( b - 84)

332 = 2b - 84

332 + 84 = 2b

416 = 2b

b = 208

Now we can solve for c

332 = 208 + c

332 - 208 = c

c = 124

Now let's check

a = 332

b = 208

c = b - 84 = 208 - 84 = 124

Answer:

If HG = HK, then HG = HK. This statement is true by definition, as both sides of the equation are equal to the same value.

If KHJ = KJH, then KHJ = KJH. This statement is also true by definition, as both sides of the equation are equal to the same combination of letters.

The number of different orders that their names can be called is given as follows:

720 orders.

The probability that their names is called in alphabetically order is given as follows:

p = 1/720.

The number of possible arrangements of n elements(order n elements) is given by the factorial of n, that is:

\(A_n = n!\)

Hence:

6! = 720.

Only one of the orders is alphabetically, hence the probability is of:

p = 1/720.

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The area of the triangle which is formed as described is; 60.

According to the task content, when Point A(5,6) is reflected over the y-axis, the point B formed is; (-5,6) and when reflected over both axis, the point C formed is; (-5,-6).

It therefore follows that the length of segments AB and BC which represents the base and height of the triangle formed are; 10 and 12 respectively.

Therefore, the area of the triangle is; (1/2) × 10 × 12 = 60.

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The tip of the minute hand on a clock travels a distance of 4π inches in 15 minutes.

The distance traveled by the tip of a minute hand on a clock can be calculated using the circumference formula.

The circumference of a circle is given by the formula:

C = 2πr C is the circumference, π is pi (approximately 3.14159) and r is the radius.

The distance from the center of the clock to the tip of the minute hand is the radius is 8 centimeters.

The circumference of the circle traced by the tip of the minute hand is:

\(\text{C} = 2\pi \text{r}\)

\(= 2\pi (8)\)

\(= 16\pi \ \text{centimeters}\)

Since the minute hand travels the full circumference of the circle in 60 minutes, in 15 minutes it will cover 15/60 = 1/4 of the circumference.

The distance traveled by the tip of the minute hand in 15 minutes is:

\(\text{Distance} = \huge \text(\dfrac{1}{4}\huge \text) \times C\)

\(= \huge \text(\dfrac{1}{4}\huge \text) \times (16\pi)\)

\(= 4\pi \ \text{centimeters}\)

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Answer:

4π cm ≈ 12.6 cm

Step-by-step explanation:

The clock can be modelled as a circle, where the radius (r) is equal to the length of the minute hand:  r = 8 cm.

A clock face is divided into 12 equal sectors (numbered 1 to 12).

It takes 60 minutes for the minute hand to complete one revolution of the clock. Therefore, each sector represents the passing of 5 minutes.

This means that 15 minutes equals 3 sectors, which is a quarter of the circle.

To find the distance the tip of the minute hand travels in 15 minutes, we need to find a quarter of the circumference of a circle with radius 8 cm.

The formula for the circumference of the circle is C = 2πr, where r is the radius. Therefore, the equation to find the distance the tip of the minute hand travelled in 15 minutes is:

\(\sf Distance=\dfrac{2 \cdot \pi \cdot 8}{4}\)

Simplifying, we get:

\(\sf Distance=\dfrac{16 \cdot \pi}{4}\)

\(\sf Distance=4 \pi\)

Therefore, the minute hand will travel 4π cm or approximately 12.6 cm (to the nearest tenth) in 15 minutes.

Answer:

0

Step-by-step explanation:

w+1/w=(2+2i)+1/(2+2i)

=(2+2i)+(2+2i)-1

=0

Answer:

I need degrees and numbers to figure out the answers

Answer:

-16+12= -4

Step-by-step explanation:

When we mins 12 from 16 (16-12) we get 4.

Similarly. When we minus 16 from 12 (12-16) we get -4 because we choose the sign with the greater number.

Answer:

6

Step-by-step explanation:

You divide 30 by five and you get 6 and then you mutiply 6 by 2 and you get 12 kilograms.

So, Todd filled and emptied the wheel barrow 6 times.