There are 567 pelicans at the beach. Then a rambunctious dog named Ziggy chases 189 away. Once Ziggy is gone, 53 return. How many pelicans are on the beach?​

Step-by-step explanation:

Work and answer shown above

The Domain is -4 ≤ x ≤ 2

Range = 2 ≤ y ≤ 6

We have given a graph of a function. We have to find the domain and the range of the function

The domain refers to the set of all valid input values for a function. It represents the values for which the function is defined or meaningful. In other words, it is the set of x-values that can be plugged into the function to obtain a corresponding y-value.

The range, on the other hand, refers to the set of all possible output values or y-values that result from evaluating the function with the input values from the domain. It represents the set of all values that the function can attain.

As we can see from the graph

value of x is greater than and equal -4 and less than and equals 2

Domain = -4 ≤ x ≤ 2

Value of y is grater than and equal to 2 and less than and equal to 6

Range = 2 ≤ y ≤ 6

Learn more about Domain here

https://brainly.com/question/30133157

#SPJ2

The fraction of the dishes were cooked by Rooms 102 and 104 is 4/5

Fraction of the dishes were cooked by Rooms 102 and 104 = 1/2 + 3/10

= (5+3) / 10

= 8 / 10

= 4 / 5

Therefore, the fraction of the dishes were cooked by Rooms 102 and 104 is 4/5 in the simplest form

Learn more about fraction:

https://brainly.com/question/11562149

Answer:

Step-by-step explanation:

Find the zero's of f(x)

Answer:

\(x=4, \quad x=1+i,\quad x=1-i\)

(one real zero and 2 complex zeros)

Step-by-step explanation:

Given polynomial:

\(f(x)= 2x^3-12x^2+20x-16\)

According to the Factor Theorem, if f(4) = 0 then (x - 4) is a factor of the given polynomial.

\(\implies f(x)=(x-4)(ax^2+bx+c)\)

Expand the brackets:

\(\implies f(x)=ax^3+bx^2+cx-4ax^2-4bx-4c\)

\(\implies f(x)=ax^3+(b-4a)x^2+(c-4b)x-4c\)

Compare coefficients with the given polynomial:

\(\implies a=2\)

\(\implies -4c=-16 \implies c=4\)

\(\implies (b-4a)=-12 \implies b-8=-12 \implies b=-4\)

Substitute the found values of a, b and c:

\(\implies f(x)=(x-4)(2x^2-4x+4)\)

To find the zeros of f(x), set the function to zero and solve for x:

\(\implies (x-4)(2x^2-4x+4)=0\)

\(\textsf{Therefore},\: (x - 4) = 0\: \textsf{ and }\: (2x^2-4x+4)=0\)

\(\textsf{To solve}\: (2x^2-4x+4)=0\: \textsf{ use the quadratic formula}\)

Quadratic Formula

\(x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0\)

Therefore:

\(\implies x=\dfrac{-(-4) \pm \sqrt{(-4)^2-4(2)(4)} }{2(2)}\)

\(\implies x=\dfrac{4 \pm \sqrt{-16}}{4}\)

\(\implies x=\dfrac{4 \pm \sqrt{16 \cdot -1}}{4}\)

\(\implies x=\dfrac{4 \pm \sqrt{16}\sqrt{-1}}{4}\)

\(\implies x=\dfrac{4 \pm 4i}{4}\)

\(\implies x=1 \pm i\)

Therefore, the zeros of the function are:

\(x=4, \quad x=1+i,\quad x=1-i\)

(one real zero and 2 complex zeros)

a. The probability that 1 or more nonconforming units are found is 0.2311.

b. The probability that exactly 3 units are nonconforming is 0.000058.

a. To solve the problem, you can use the complement rule. The complement rule states that the probability of an event occurring is 1 minus the probability of the event not occurring. So, in this case, the probability that no nonconforming units are found in a sample of 25 units is:

P(no nonconforming) = (0.99)²⁵ = 0.787.

Therefore, the probability that 1 or more nonconforming units are found is:

P(1 or more nonconforming) = 1 - P(no nonconforming) = 1 - 0.787 = 0.213.

Rounded to four decimal places, this is 0.2311.

b. To solve the problem, you can use the binomial probability formula:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k).

Here, n = 25 is the sample size, k = 3 is the number of nonconforming units, and p = 0.01 is the probability of a unit being nonconforming.

Using the formula, we get:

P(X=3) = (25 choose 3) * (0.01)³ * (0.99)²² = 2300 * 0.000001 * 0.5459 = 0.000058.

Rounded to six decimal places, this is 0.000058.

Learn more about probability here: https://brainly.com/question/30390037

#SPJ11

Answer:

X is equal to 50..

Step-by-step explanation:

as angle 1 and 3 are equal

2*50+10

100+10

is 110

so X is 50

The height of the 10th bounce of the ball will be 0.6 feet.

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.

The nth term of the geometric sequence is given by

\(\sf T_n=ar^{n-1}\)

Where,

According to the given question.

During the first bounce, height of the ball from the ground, a = 4.5 feet

And, the each successive bounce is 73% of the previous bounce's height.

So,

During the second bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 10\)

\(=\dfrac{73}{100}(10)\)

\(\sf = 0.73 \times 10\)

\(\sf = 7.3 \ feet\)

During the third bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 7.3\)

\(=\dfrac{73}{100}(7.3)\)

\(\sf = 5.33 \ feet\)

Like this we will obtain a geometric sequence 7.3, 5.33, 3.11, 2.23,...

And the common ratio of the geometric sequence is 0.73

Therefore,

The sixth term of the geometric sequence is given by

\(\sf T_{10}=10(0.73)^{10-1\)

\(\sf T_{10}=10(0.73)^{9\)

\(\sf T_{10}=10(0.059)\)

\(\sf T_{10}=0.59\thickapprox0.6 \ feet\)

Hence, the height of the 10th bounce of the ball will be 0.6 feet.

Find out more information about geometric sequence here:

brainly.com/question/11266123

Answer:

52mm

Step-by-step explanation:

(4x3)2+(4x4)+4x3= 52mm

triangle sides+square sides+bottom square side= answer

Hope this helps :)

Answer:

2 Nights

Step-by-step explanation:

790+93x=932+22x

790+71x=932

71x=142

x=2

The absolute value notation will be |x - 12| = 6

The absolute function is also known as the mode function. The value of the absolute function is always positive.

The absolute function is given as

f(x) = | x |

All numbers x is at a distance of 6 from the number 12. Then the equation will be

|x - 12| = 6

Simplify the equation, then we have

For x ≥ 0, then the value of x will be

x - 12 = 6

x = 18

For x < 0, then the value of x will be

- x + 12 = 6

x = 6

The absolute value notation will be |x - 12| = 6

More about the absolute function link is given below.

https://brainly.com/question/10664936

#SPJ4

Answer:

b.  -x + y = 0

Step-by-step explanation:

Direct variation:

Direct variation means "y varies directly as x”:

\(y \propto x \implies y=kx\)

where k is the (non-zero) constant of variation.

To determine which of the given equations represents a direct variation, isolate y for each and compare with the direct variation equation.

Equation a

\(y=\dfrac{4}{3}x-2\)

This is not a direct variation equation as there is an addition of -2.

Equation b

\(-x+y=0\)

\(\implies y=x\)

This is a direct variation equation where the constant of variation is 1.

Equation c

\(xy=8\)

\(\implies y=\dfrac{8}{x}\)

This is not a direct variation equation as y is inversely proportional to x.

Equation d

\(y=14\)

This equation does not include the variable x, and so is therefore not a direct variation equation.

If y varies inversely with x then the line must be linear and increasing

And the y intercept must be 0 in y=mx+c

#1

c=-2

#2

Yes

#3

No

#4

Parallel to x axis no direct variation

Answer:

Step-by-step explanation:

Answer:

Check Below

Step-by-step explanation:

given things  : 1. height of cone  = 22* 1/4 feet or  89/4 feet

                       2.  diameter of cylinder = 2* 2/5 times of height

                                                          =  12/5 times of height or 12/5 * 89/4

                                                           = 89*3/5 feet

now formula of volume of cone =  Pi R² * H

                                                       = (3.14) ( D/2)² * H

                                                       = (3.14)*  (89*3/10)² * 89/4

                                                       = (3.14) * (26.7)² * 22.25

                                                       = (3.14) * 712.89 * 22.25

                                                       =  (49806.06)

Hope u find this answer Helpful !

Answer:

Area = 294 cm^2

Volume = 343 cm^3

Step-by-step explanation:

Simply plug in s = 7 into the given equations.

\(6s^{2} = 6*7^{2} = 294 cm^{2}\)

\(s^{3} = 7^{3} = 343 cm^{3}\)

Answer:

Here is the equation in quadratic form:

x= 3±i√47/4

Explanation:

The ASA indicates that the side (S) is between the two angles (A). The order is important. For the bottom triangle, the side between the red angles is segment ST. The upper triangle has the segment UX between the red angles. If we know that ST = UX, then we can use the ASA rule to prove the triangles are congruent.

Side note: ST = UX is the same as UX = ST. Furthermore, ST is the same as TS, and UX is the same as XU. So there are a few ways to fill in that blank.

Answer:

To simplify the expression -3x(-8x+52+5+3), we can distribute the -3x to each term inside the parentheses:

-3x(-8x+52+5+3) = 24x² - 156x - 15x - 9x

Simplifying further by combining like terms, we get:

-3x(-8x+52+5+3) = 24x² - 180x - 9x

Therefore, the simplified expression is 24x² - 189x. None of the options given match this answer. Therefore, there seems to be an error in the original question.

Step-by-step explanation:

If researchers report that the results from their study were significant, p < .05, this means that we would expect the results to occur by chance less than 5 times out of 100.

When researchers report that the results from their study were significant, p < .05, it means that we would expect the results to occur by chance less than 5 times out of 100. This threshold is commonly used in statistical hypothesis testing.

In statistical hypothesis testing, the p-value represents the probability of obtaining results as extreme as the observed results, assuming that the null hypothesis is true. If the p-value is less than the predetermined significance level of .05 (or 5%), it is considered statistically significant. This means that the observed results are unlikely to have occurred by chance alone, and there is evidence to support the alternative hypothesis.

Therefore, option D, "We would expect the results to occur by chance less than 5 times out of 100," is the correct interpretation of reporting significant results with p < .05.

Learn more about hypothesis

brainly.com/question/29576929

#SPJ11

Answer:

False.

Step-by-step explanation:

The ratio is 1:500, which means that the model will be 500 times smaller than the real deal.

The real airplane is 50 metres, or 5,000 centimetres. The model is 50 cm. 5,000 / 50 = 1,000 / 10 = 100 / 1 = 100. Since 100 is NOT equal to 500, the answer is false.

Hope this helps!

The number of ribbons that is needed for 7 presents is 73 ribbons.

She needs 5 packages.

An expression is simply used to illustrate the relationship between the variables.

In this case, it takes 10 feet of ribbon to make 1 bow on a present and 3 feet is used to practice trying the bow, the expression 10p + 3 can be used.

The ribbons needed for 7 presents will be:

= 10p + 3

= 10(7) + 3

= 70 + 3

= 73

Since it's sold in 15 feet packages, the number needed will be:

= 73 / 15

= 5

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

Answer:

6

Step-by-step explanation:

f(s) = x^2 - 3

f(-3) = 6

f(0) = -3

f(1) = -2

f(2) = 1

Answer:

The square root of 687 is 26.21

Step-by-step explanation:

Answer: D. 6

Step-by-step explanation: 7 + 7 = 14

30 - 4 - 14 = 12

12/2 = 6

In this question, i first went to see what the total amount is, which, when subtracting the change from the money paid (30-4) is $26

Next, i went to see the rings cost. Since she bought 2 rings for the price of 7 each, i multiplied 2 with the cost (2 x 7) which is $14

That brought me to the equation:

\(26 - 14= 12\)

The cost of the earring together is $12, but since we want to find out how much each pair costs, i divided 12 by 2 (12/2) and got the answer:

$6 per pair of earring (Letter D)

thank you! btw can u please give me brainly :3

It will take Flora about 1.2 hours (or 72 minutes) to travel 132 km if her speed remains constant.

The distance is calculated by the formula below,

distance = speed × time

We know that Flora travelled 55km in 30 minutes, which is 0.5 hours (since there are 60 minutes in an hour).

So, we can find Flora's speed by dividing the distance by the time:

speed = distance ÷ time = 55 km ÷ 0.5 hours = 110 km/hour

Now we can use this speed to find how long it will take her to travel 132 km:

time = distance ÷ speed = 132 km ÷ 110 km/hour ≈ 1.2 hours

Therefore, it will take Flora about 1.2 hours (or 72 minutes) to travel 132 km if her speed remains constant.

To know more about speed follow

https://brainly.com/question/7359669

#SPJ1

Answer:

Step-by-step explanation:

Given that

Therefore the

Volume of sphere =

4/3 × π × r × r × r=

4/3 × 3.14 × 3 × 3 × 3 =

4/3 × 3.14 × 27 =

36 × 3.14 =

_________________

#StayPositive - kexcvi

Answer:

12.5 cups

Step-by-step explanation:

10/4 = 2.5

2.5 × 5 = 12.5

12.5 cups

Answer:

x2

Step-by-step explanation:

In 5x, 5 is a constant and therefore if we double x we will double 5 too.

The person should leave the money in the bank for 14 years to reach $22600

Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.

Given a person invests, $9500  in a bank. The bank pays 6.25% interest compounded semi-annually.

Formula =

A = p\([1+(r/2)/100]^{2t}\)

22600 = 9500\((1+6.25/200)^{2t}\)

2.38 = \((1.03125)^{2t}\)

log2.38 = 2t log1.03125

2t = log2.28/ log1.03125

2t = 28.17

t = 14.08 ≈ 14

Hence, The person should leave the money in the bank for 14 years to reach $22600

For more references on Compound interest, click;

https://brainly.com/question/14295570

#SPJ1

Answer:

i^32=1

i^25=i

i^86=-1

i^51=-i

Step-by-step explanation:

Follow the Rule of Four of I for this,

i^1=\(\sqrt{-1}\)

I^2=-1

I^3=-i

I^4=1

Answer: first one is 1

Second one is i

Third one is -1

Fourth one is -1

Step-by-step explanation:

Answer:

hey, i tried my best with this. lmk if its correct.

Step-by-step explanation:

(its the bold answer btw)

Answer:

Step-by-step explanation:

Properties used:

Answer:

x= c/14

Step-by-step explanation:

add 8 to both sides of the equation, then simplify, next divide both sides of the equation by the same term, and finally simplify again.