The length of an alligator in a zoo is 1458 feet. The Everglades National Park lists the longest alligator ever recorded in Florida at 17512 feet. Which is the difference in their lengths?

Answer:3/2

3x3-2x2-7x+6=x+1(Multiply the numbers)

9-4-7x+6=x-1(Calculate)

11-7x=x-1(Move the terms)

-7x-x=-1-11(Collect like terms&calculate)

-8x=-12(Divide both sides by -8)

x=3/2

Synthetic division is a process used to divide a polynomial by a linear expression. Using a step-by-step process, the polynomial 3x^3 - 2x^2 - 7x + 6 is divided by x + 1. The result is a new polynomial, which represents the quotient and a remainder.

Synthetic division is used to divide a polynomial by a linear expression. In this case, we have the polynomial (3x^3 - 2x^2 - 7x + 6) and we want to divide it by (x + 1). Synthetic division follows a specific set of steps:

The numbers at the bottom are the coefficients of the quotient polynomial, and the remainder if any.

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Answer:

There are approximately 88 adults.

Step-by-step explanation:

The question is:

A fair was attended by 350 people of which two thirds are adolescents and a quarter adults and a fifth are children from 10 to 12 what amount corresponds to adults .

Solution:

Total number of people attending the fair is, N = 350.

The proportion of adults is: P (Adults) = p = 0.25.

Compute the number of adults in the fair as follows:

[tex]\text{Number of adults in the fair}=N\times p[/tex]

                                             [tex]=350\times 0.25\\\\=87.5\\\\\approx 88[/tex]

Thus, there are approximately 88 adults.

Answer:8

Step-by-step explanation:

Answer:

the answer is 8

Step-by-step explanation:

Answer:

Option C

Step-by-step explanation:

a rotation about point L

Answer:

Step-by-step explanation:

good luck man get a 100% on  

Answer:

y·cos73°= x

Step-by-step explanation:

To find this, we can begin by looking at the steps to solve this problem. We know that this involved the 'opposite' and 'adjacent' sides, meaning we must use 'cos' in this instance.

We can set up an equation like this:

cos73°= [tex]\frac{x}{y}[/tex].

We can simply rearrange this to form a possible answer choice:

y·cos73°= x.

This is one of the answer choices! That is your final answer.

Answer:

the answer is y·cos73°= x

Step-by-step explanation:

because i looked it up

Answer:

C. the number of students who rode on each bus.

Step-by-step explanation:

Answer:

C.the number of students who rode on each bus

It is an expression, as an equation has an equal sign on it.

This has no equality property, therefore it is an expression.

Answer:

$126.5

Step-by-step explanation:

45.18+18.07=67.25

67.25*2=126.5

Answer:

A)Unit prize is $0.162

B)Unit prize is $0.183

Step-by-step explanation:

A) 13.5-ounce bottle cost 2.19

Cost of 13.5 ounce bottle =2.19

Cost of 1 ounce bottle =[tex]\frac{2.19}{13.5}=0.162[/tex]

So, Unit prize is $0.162

B)29.2-ounce bottle costs 5.37

Cost of 29.2 ounce bottle = 5.37

Cost of 1 ounce bottle =[tex]\frac{5.37}{29.2}=0.183[/tex]

So, Unit prize is $0.183

Answer:

(6,-3)

Step-by-step explanation:

Answer:

(6,3)

Step-by-step explanation:

so the rule of a reflection over y axis is:

(-x,y)

since x=-6

(--6,-3)

(6,-3) is the new point

if its an reflection over the x axis(which is not the case here) then it would be:

(x,-y)

Answer:

Step-by-step explanation:

The shape of the curve is a rose curve.

The domain are real numbers

And the range is approximately from -3.9 to 3.9

The maximum value of r on the graph is 3.9

Yes the graph is continuous and it is bounded above and below

The graph is symmetrical about the x axis and not about the y axis.

No asymptotes

Answer:

Consecutive whole numbers (or integers) are numbers that directly follow one another.

Eg: 1, 2, 3, 4, 5 are consecutive whole numbers.

Step-by-step explanation:

Three consecutive even integers can be represented by x, x+2, x+4. The sum is 3x+6, which is equal to 108.

or

let the three consecutive whole numbers is x, x+1,and x+2

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

3x+3=4+2x+2

3x-2x=6-3

x=3

the other two numbers are 3+1=4,and 3+2=5

so the three numbers are 3,4 and 5

Answer:

x = 58

Step-by-step explanation:

We know that,

1 mL = 0.001 L

So, 350 mL = 0.35 L

Let x cans of coke can be filled from a 20.3 L tank of coke. So,

Accoding to question,

[tex]0.35\times x =20.3\\\\x=\dfrac{20.3}{0.35}\\\\x=58[/tex]

So, there are 58 350 mL cans of coke that can be filled from a 20.3 L tank of coke.

Answer:

A

Step-by-step explanation:

I got it correct

Answer:

64

Step-by-step explanation:

1 Decimeter is equal to 10 centimeters. To convert decimeters to centimeters, multiply the decimeter value by 10. In this case it is 64.

Hope I helped:)

Answer:

x = -11

Step-by-step explanation:

[tex]5(x-6)+2 = 7x-6\\5x -30 +2 = 7x - 6\\5x -28 = 7x -6 \\5x - 28 + 6 = 7x -6 +6 \\5x -22 = 7x\\5x -5x -22 = 7x - 5x\\-22 = 2x\\-22 / 2 = 2x / 2\\-11 = x[/tex]

Answer:[tex]\frac{5}{4}[/tex]

Step-by-step explanation:

Given

[tex]\cos \theta =\frac{-3}{5}[/tex]

and [tex]\theta [/tex]  lies between

[tex]90^{\circ}<\theta <180^{\circ}[/tex]

and for this [tex]\theta[/tex],[tex]\sin[/tex] and [tex]\text{cosec}[/tex] is Positive as they lie in 2 nd Quadrant

[tex]\sin ^2\theta +\cos ^2\theta =1[/tex]

[tex]\sin ^2\theta =1-(\frac{-3}{5})^2[/tex]

[tex]\sin ^2\theta =1-\frac{9}{25}[/tex]

[tex]\sin ^2\theta =\frac{16}{25}[/tex]

[tex]\sin \theta =\frac{4}{5}[/tex]

[tex]\therefore \text{cosec}\ \theta =\frac{5}{4}[/tex]

Answer:

x = 15

Step-by-step explanation:

Let the x represents altitude.

Therefore, by geometric mean property:

[tex]x = \sqrt{9 \times 25} \\ x= 3 \times 5 \\ x = 15[/tex]

Answer:

a.) [tex](m+6)(m+10)[/tex]

Step-by-step explanation:

Factor [tex]m^2+16m+60[/tex]

Find what two numbers add up to 16, and equal 60 when multiplied:

[tex]6[/tex] and [tex]10[/tex]

[tex]6+10=16\\6*10=60[/tex]

Factor:

[tex](m+6)(m+10)[/tex]

Finito.

Answer:

(m+6)(m+10).

Step-by-step explanation:

To find this answer, we will need to determine factors of 60 that when added, they are equivalent to 16.

We can begin by listing some factors:

30 and 2

4 and 15

12 and 5

6 and 10

...

Then, we can determine which of these factors can be added together to become 16. From this, we can determine that only factors "6 and 10" become 16 when added together.

When we do this, we can see that only answer 1, (m+6)(m+10), is equivalent to the equation given.

Answer:

length x width x height

Step-by-step explanation:

Answer:

Hope this helped stay safe!!

Step-by-step explanation:

To calculate the volume of a triangular prism, measure the width and height of a triangular base, then multiply the base by the height by 1/2 to determine the triangle's area. Next, measure the height of the triangular prism and multiply this by the triangle's area to get the volume.

Answer:

Angle, [tex]\theta=70.4^{\circ}[/tex]

Step-by-step explanation:

We have, an A-frame house is 45 feet high and 32 feet wide. It is required to find the measure of the angle that the roof makes with the floor.

The attached figure shows the A frame. Let [tex]\theta[/tex] is the angle that the roof makes with the floor. So,

[tex]\tan\theta=\dfrac{45}{16}\\\\\tan\theta=2.81\\\\\theta=\tan^{-1}(2.81)\\\\\theta=70.4^{\circ}[/tex]

So, the angle of 70.4 degrees is the angle that the roof makes with the floor.

Final answer:

To find the angle an A-frame house roof makes with the floor, one needs to use trigonometry. By dividing the width of the house by 2 to work with a right triangle and using the tangent function, the angle is calculated to be approximately 70 degrees.

Explanation:

The question involves finding the angle that an A-frame house roof makes with the floor, given the height of the house is 45 feet and the width is 32 feet. To solve this, we can use trigonometry, specifically the tangent function, as we are dealing with a right-angled triangle where the house's height forms one leg (opposite) and half of the width forms the other leg (adjacent). The formula to find the angle (θ) is θ = arctan(opposite/adjacent).

First, halve the width to work with one side of the A-frame: 32 feet / 2 = 16 feet. Then, use the arctan function: θ = arctan(45 feet / 16 feet). Use a calculator to find θ, which gives us an angle of approximately 70.346 degrees. When rounded to the nearest degree, the angle is 70 degrees.

Therefore, the angle that the roof makes with the floor is 70 degrees.

Answer:

The answer for (a)(-5.96, 2.36) (b) -1.8, since the difference is negative, it can be said or determined that the age of the grandfather is older

Step-by-step explanation:

Solution

(a) From the information given,

n = 10, d =-1.8, sd = 5.81

The 95% confidence interval  for the population  mean difference age is computed as follows:

CI =d ±tα/2,n-1 (sd/√n)

= -1.8±t₀.₀₅/₂,₁₀₋₁ (5.81/√10)

=-1.8± 2.26 (1.84)

= -1.8 ± 4.16

= (-5.96, 2.36)

Now,

There is a 95% confidence  that the mean difference in age of maternal grand parents of high school students lies between - 5.96 and 2.36

(b) The age difference is calculated  as the age of grand mother minus age of grand father. the point of estimate for the mean difference is as follows:

Xd = XGM - XGF

= 69.8 -71.6

=-1.8

Therefore, since the difference is negative, it can be said or determined that the age of the grandfather is older

Note: kindly find an attached copy of the complete question and table to this example below.

The mean difference in age between grandparents is calculated by taking the absolute differences between the ages of each pair of grandparents from the sample of students and then averaging those differences.

The sociologist's research question about the mean difference in age of grandparents without regard to which one is older requires calculating the absolute difference between the ages of each pair of maternal grandparents for the sample of high school students and then taking the average of those differences. To provide a point estimate for the mean difference in age to address the sociologist's question, let us assume we have the ages of each pair of grandparents for the 10 students. If we denote these age pairs as (G11, G21), (G12, G22), ..., (G110, G210), where G1 and G2 are the ages of the two grandparents for each student, the mean difference in age would be the sum of the absolute differences of these pairs divided by the number of pairs (10 in this case).

Mean Difference = (|G11 - G21| + |G12 - G22| + ... + |G110 - G210|) / 10

Without the actual data, we cannot provide a numerical point estimate, but this is the method that would be used to calculate it.

Answer:

(1) w = 6.4

(2) w = -67

(3) q = 336

(4) z = -14

(5) x = 9

(6) y = 3

(7) x = 8

(8) x = -16

(9) x = 54

(10) x = 13.5

Step-by-step explanation:

Ik u need it quick so mb for not explaining. Good luck

Answer:

the first one is 6.4 i cant help with others srry im not smart either.

Step-by-step explanation:

Answer:

Divide the number of robins by the number of cardinals for each pair of values. The ratios are the same and are a constant of proportionality of 3.

Answer :

Divide the number of robins by the number of cardinals for each pair of values. The ratios are the same and are a constant of proportionality of 3.

KEEP IN MIND THIS IS A SAMPLE RESPONSE!

Answer:

B

Step-by-step explanation:

Our system of equations is:

3x + y = 23

8x + 2y = 23

If we want to use substitution, that means that we essentially want to manipulate one of the two equations so that one variable (like y) is written in terms of the other (like x), and then substitute that expression into the second equation so that we have one variable and one equation and we can easily solve from there.

So the first thing to be done is to write one of the variables in terms of the other. It would be easiest to do it with the first equation and write y in terms of x - in other words, "solve the first equation for y".

The answer is B.

Answer:

B

Step-by-step explanation:

Solve the first equation for y.

Step-by-step explanation:

Step 1:  Find the probability of landing on tails

92 - 41 = tails

51 = tails

[tex]\frac{51}{92}[/tex] = probability

0.554... * 100 = probability

55% = probability

Answer:  The probability of landing on a tails is 55%

Answer:

55%

Step-by-step explanation:

P(heads) = 41/92

P(tails) = 1 - P(heads)

1 - 41/92

51/92 × 100

55.43478261%

Answer:

6 mangoes

0.38 or 38p

Step-by-step explanation:

Apparently the value of the mango is £ 0.77, which means that to get the number of mangoes you can buy, you must divide this value to the amount of money you have, that is, £ 5

5 / 0.77 = 6.49

which means that it is enough for 6 mangoes.

To know the change, multiply the value of one by 6 and subtract it with £ 5, it would be the change.

6 * 0.77 = 4.62

5 - 4.62 = 0.38

That is, the change is £ 0.38 or 38p

Answer:

(a) 6 mangoes

(b) £0.38

Step-by-step explanation:

(a) The greengocers sell the mangoes for 77 p.

The greatest number of mangoes you can buy for £5 can be gotten by dividing £5 by the price of each mango (77 p). We will only pick the whole number part because number of mangoes can only be whole number.

First, we convert £5 to pence:

£1 = 100 pence

=> £5 = 5 * 100 = 500 pence

Hence, the greatest number of mangoes that can be bought is:

500 / 77 = 6.49

Since we are only picking the whole number part, the answer is 6 mangoes.

(b) The price of 6 mangoes is:

6 * 77 = 462 pence

Hence, if you take £5 (500 pence) to the store, your change should be:

500 - 462 = 38 pence

38 pence is the same as £0.38

Answer:

h(0) = 3600

t=60 when it hits the ground

max height at 4050

at 15 seconds

Step-by-step explanation:

h(t) = -2t^2 + 60t +3600

When it is thrown is t=0

h(0) = -2(0) +60(0) +3600 = 3600

When it hits the ground is h(t) =0

0 =  -2t^2 + 60t +3600

Factor out -2

0 = -2 (t^2 -30t -1800)

Divide by -2

0 = (t^2 -30t -1800)

Factor.  What 2 numbers multiply to -1800 and add to -30

0 = (t+30) (t-60)

Using the zero product property

t+30 = 0   t-60 =0

t = -30     t = 60

Since we do not have negative time

t=60

The maximum occurs halfway between the zeros

(-30+60)/2 = 30/2 = 15

Put this into the function to find the maximum value

h(15) = -2(15)^2 + 60(15) +3600

       = -2 (225) +900+3600

       =4050

Answer:

Thrown at: 3600

Ground after: 60

Max height: 4050

After: 15

Step-by-step explanation:

h(t) = -2t² + 60t + 3600

h(0) = 3600

-2t² + 60t + 3600 = 0

t² - 30t - 1800 = 0

t² - 60t + 30t - 1800 = 0

t(t - 60) + 30(t - 60) = 0

(t - 60)(t + 30) = 0

t = 60, -30(not possible)

h(t) = -2t² + 60t + 3600

-2(t² - 30t) + 3600

-2(t² - 2(t)(15) + 15² - 15²) + 3600

-2[(t - 15)² - 225] + 3600

-2(t - 15)² + 450 + 3600

-2(t - 15)² + 4050

Answer:

Cost of a snack size bag of chips = $0.8

Cost of a water bottle = $1.6

Cost of a gallon of milk = $3.4

Step-by-step explanation:

Let the cost of water bottle = $a

Cost of 1 gallon milk = $b

and cost of 1 bag of chips = $c

So, cost of 4 gallons of milk, 6 bottles of water and 5 bags of chips = $(4b + 6a + 5c)

4b + 6a + 5c = 27.2 -----(1)

Cost of one water bottle = 2 × cost of one bag of chips

a = 2c -----(2)

A gallon of milk = cost of water bottle + $1.80

b = a + 1.8

From equation (2)

b = 2c + 1.8 -----(3)

Now we substitute these values from equations (2) and (3) in equation (1)

4(2c + 1.8) + 6(2c) + 5c = 27.2

8c + 7.2 + 12c + 5c = 27.2

25c = 27.2 - 7.2

c = [tex]\frac{20}{25}[/tex]

c = $0.8

From equation (2)

a = 2×0.8

a = $1.6

From equation (3)

b = 2(0.8) + 1.8

b = 1.6 + 1.8

b = $3.4

Therefore, cost of a snack size bag of chips = $0.8

Cost of a water bottle = $1.6

Cost of a gallon of milk = $3.4

Final answer:

A snack size bag of chips costs $0.80, a bottle of water costs $1.60, and a gallon of milk costs $3.40. This was determined by creating an equation with the given cost relationships and solving for the cost of each item.

Explanation:

The question presents a scenario where a trip to the convenience store involves purchasing 4 gallons of milk, 6 bottles of water, and 5 snack size bags of chips with a total bill of $27.20 before tax. The cost relationships given are: a bottle of water costs twice as much as a bag of chips, and a gallon of milk costs $1.80 more than a bottle of water.

Let's denote the cost of a snack size bag of chips as c. Thus, the cost of a bottle of water would be 2c. A gallon of milk would then cost 2c + $1.80.

To find the cost of each item, we can set up an equation based on the total cost:

5c + 6(2c) + 4(2c + $1.80) = $27.20

Solving this equation:

5c + 12c + 8c + $7.20 = $27.20

25c + $7.20 = $27.20

25c = $20

c = $0.80

Therefore, a snack size bag of chips costs $0.80, a bottle of water costs $1.60, and a gallon of milk costs $3.40.