Mathematics College

a dolphin in a aquaruim is 12 feet long. A scale model of the dolphin is 3 1/2 in long. What is the scale factor of the model

Answers

Answer 1

Answer:The scale factor= 1 : 41.14

Step-by-step explanation:

I did research on it

Related Questions

What Quadrant is 4,-8 located in

Answers

Answer:

Step-by-step explanation:

2) A farmhouse shelters 61 animals. Some are cows and some are ducks. Altogether there are
208 legs. How many of each animal are there?

Answers

Answer:
43 cows and 18 ducks

Explanation:
Let c represent the number of cows in the farmhouse.
Let d represent the number of ducks in the farmhouse.

We know that:
- there are a total of 61 animals in the farmhouse
- one cow has 4 legs
- one duck has 2 legs
- there are a total of 208 legs

Using the information above, we can create two equations:

c+d=61
4c+2d=208

1) multiply the first equation by 2
If we do this, both equations will have 2d and we can subtract them to solve for c.

c+d=61
2c+2d=122

2) Subtract the first equation from the second

4c+2d=208
2c+2d=122
2c=86
c=43

Therefore, the number of cows in the farmhouse is equal to 43.

2) plug 43 into the first equation to solve for d
We can plug 43 into either of the original questions to find the number of ducks, but in this case, it would be easier to solve for in the first equation.

c+d=61
43+d=61
Subtract both sides by 43
43+d-43=61-43
d=18

Therefore, the number of ducks in the farmhouse is equal to 18.

I hope this helps!

Suppose that we have a sample space S = {E1, E2, E3, E4, E5, E6, E7}, where E1, E2, . . . , E7 denote the sample points. The following probability assignments apply:

P(E1) = .05, P(E2) = .20, P(E3) = .20, P(E4) = .25, P(E5) = .15, P(E6) = .10, and P(E7) = .05.

Let A = {E1, E4, E6} B = {E2, E4, E7} C = {E2, E3, E5, E7}

Find the probability of the intersection of A and B.

Answers

Answer:

The required probability for the intersection of A & B = 0.25

Step-by-step explanation:

Given that:

Sample space S = {E1, E2, E3, E4, E5, E6, E7} and the probability of each sample points are:

P(E1) = .05, P(E2) = .20, P(E3) = .20, P(E4) = .25, P(E5) = .15, P(E6) = .10, and P(E7) = .05.

Also;

A = {E1, E4, E6}

B = {E2, E4, E7}

C = {E2, E3, E5, E7}

Then

P(A) = 0.05 + 0.25 + 0.10 = 0.4

P(B) = 0.20 + 0.25 + 0.05 = 0.5

P(C) = 0.20 + 0.20 + 0.15 + 0.05 = 0.6

The intersection of A and B are:

P(A ∩ B) = E4

P(A ∩ B) = 0.25

The required probability for the intersection of A & B = 0.25

Find the value of x. Round to the nearest degree.
13.
22
14
Not drawn to scale
a. 47
b. 32
c. 40
d. 50

Answers

Answer:

Step-by-step explanation:

A car moves at a speed of 30m/s to the west for 3hr. What is the displacement of the car in km?

Answers

(30m/s divided by 2)x 10800 ( convert 3hr to seconds by x with 60squared)
= 162000 m ( convert m to km by dividing with 1000)
= 162 km

Plz mark as brainleast if this answers helped ya.

Identify the angles that each have a measure of 88°.

Answers

Answer:

vdnchdbcdbchdbnhdbnhvbdjvjdsvhdfnjvdjvjdv

Step-by-step explanation:

1, 3, and 8

8 is it’s corresponding angle. 1 is vertical to it and 3 corresponds with 1

Which statement is false? Explain.
A. An equiangular polygon has all angles congruent.
B. A regular polygon is both equilateral and equiangular.
C. An equilateral polygon has all sides congruent.
D. A polygon is concave if no diagonal contains points outside the polygon.

Answers

Answer: D. A polygon is concave if no diagonal contains points outside the polygon.

Explanation:

Choice A is true since "equiangular" means "equal angles"

Choice B is true since all sides are congruent, and all angles are congruent for a regular polygon

Choice C is true. The term "lateral" means "side".

Choice D is false because a convex polygon is one where all possible line segments contained in the polygon do not spill outside the polygon. Put another way, if points A and B are in a convex polygon, then every point on line segment AB is also in the polygon. Concave polygons don't have this feature. It is possible to draw a line segment where it spills outside the concave polygon.

The amount of air pressure, (PSI) in the spare tire of a certain vehicle (Type A) brought for inspection are normally distributed with PSI of µ = 30 and σ = 4, and such spares tires with PSI below 25 are considered under-inflated.
The amount of air pressure, (PSI) in the spare tire of a certain vehicle (Type B) brought for inspection are normally distributed with PSI of µ = 27.7 and σ = 5.4, and such spare tires with PSI below 25 are considered under-inflated.
The PSI found in the spare tire of vehicle Type A and vehicle Type B does not depend upon the other type of vehicle, and every vehicle has 1 spare tire in it.
a. What is the probability that, for the next Type A vehicle and next Type B vehicle that are inspected, that BOTH vehicles have an under-inflated spare tire?
b. What is the probability that, for the next Type A vehicle and next Type B vehicle that are inspected, that there is a total of EXACTLY one under-inflated spare tire among these two vehicles?

Answers

Answer:

Step-by-step explanation:

Which number is additive inverse of -4 1/4

Answers

Answer:

4 1/4

Step-by-step explanation:

the additive inverse is a number that when you add it with the number you already had, makes 0

-2 is the additive inverse of 2

so 4 1/4 is the inverse of -4 1/4

The price of one share of a stock fell 4 dollars each day for 8 days. How much value did one share of the stock lose after 8 days?

Answers

Answer:

After 8 days, the stock lost 32 dollars.

Step-by-step explanation:

If 4 dollars fell every day for 8 days, it would be 32 dollars because 4*8 is 32.

If b^2=a then b is what of a?

Answers

1:: If
a
is divisible by a square of a prime number, then we cannot conclude from |2
a
|
b
2
that |
a
|
b
.

Any time
a
is divisible by a square of a prime number, =⋅
a
=
k
⋅
p
n
where ≥2
n
≥
2
and
p
does not divide
k
, you can see that
a
divides (⋅−1)2
(
k
⋅
p
n
−
1
)
2
, but
a
does not divide ⋅−1
k
⋅
p
n
−
1
.

Part 2: If
a
is not divisible by a square of a prime number, then we can conclude from |2
a
|
b
2
that |
a
|
b
.

On the other hand, if
a
is not divisible by a square of a prime number, then =12⋯
a
=
p
1
p
2
⋯
p
n
where
p
i
is prime for all
p
. Then, assuming
a
divides 2
b
2
, you can conclude that
p
i
divides 2
b
2
, and therefore
p
i
divides
b
(from prime factorization) for all
i
. From this, you can conclude that
a
divides
b
.

Answer:

[tex]\huge\boxed{b = \sqrt{a}}[/tex]

Step-by-step explanation:

If we have an equation [tex]b^2 = a[/tex] and we want to find what b is in relation to a, we can change the equation so that we have b on one side and whatever is on the other side is what b is.

[tex]b^2 = a[/tex]

To isolate b, we can take the square root of both sides as taking the square root of something squared results in the base.

[tex]\sqrt{b^2} = \sqrt{a}[/tex]

[tex]b = \sqrt{a}[/tex]

So b is the square root of a.

Hope this helped!

anyone PLEASE help!!! I will give brianliest

Answers

Answer:

its the second one.

Step-by-step explanation:

HELP PLS A carnival charges $2.50 per ride after an entrance fee.You paid a total of $22.50 after 6 rides.Find the total cost for 15 rides.

Answers

The cost of the entrance would be 7.5$, because 2.50$ x 6 equals 15.

Let’s multiply 6 x 2 to get twelve, and if six rides are 15$, that would be 30$ for twelve rides. But we still have three more.

2.50 x 3 would be 7.5$, and if we add that to 30$, we would get 37.5$.

With entry fee though, we would add 37.5$ to
7.5$, and so it would be 45$ on the dot.

Your answer would be 37.5$ without entry fee, and 45$ with entry fee.

If this helped.. please do me a favor and mark this as the Brainliest! :))

a group of 12 runners each drink 64 ounces of water every day how many ounces of water will they drink in 45 days

Answers

34560 ounces

Step by Step Explanation:

12 x 64 = 768
768 x 45 = 34560 ounces

Please help..............

Answers

Answer:

The first one.

Step-by-step explanation:

If Michael can read 400 pages in 8 hours, how many pages can he read in 1 hour?

Answers

Step-by-step explanation:

He will read 50 pages in an hour

if l || m,find the value of x, (8x + 20) (11x-31)

Answers

Answer:

x=17

Step-by-step explanation:

8x+20=11x-31

We simplify the equation to the form, which is simple to understand

8x+20=11x-31

We move all terms containing x to the left and all other terms to the right.

+8x-11x=-31-20

We simplify left and right side of the equation.

-3x=-51

We divide both sides of the equation by -3 to get x.

x=17

Answer:

Step-by-step explanation:

8x + 20 = 11x - 31

-8. -8

20 = 3× - 31

+31. +31

51 = 3x

/3. /3

x = 17

Pls help me out I really need help

Answers

Answer: -0.8

Step-by-step explanation:

factor 5x^2 + 10x + 5

Answers

answer: 5(x-1)^2 because you factor out the 5 to look like 5(x^2+2x+1) then just factor the expression to the answer.

Evaluate 4p+q/p when p= -2 and q= -3

a) -11/2
b) 9/2
c) -9/2
d) 11/2

Answers

Answer:

Step-by-step explanation:

Answer:

d. 11/2

Step-by-step explanation:

(4p + q)/p

(4(-2) + (-3))/(-2) = (-8-3)/(-2)

11/2

What slope would make the lines
parallel?
y = 4x + 2
y = [?]x-4
Enter the number that belongs in the green box.

Answers

Answer:

Step-by-step explanation:

Parallel lines have the same slope and since the slope of the first line is 4 the second lines slope is also 4

Answer:

Step-by-step explanation:

Answer:

The answer is "[tex]y= -x+7[/tex]"

Step-by-step explanation:

If [tex]\bold{\theta = 135^{\circ}}[/tex]

point: [tex]p=(2,5)[/tex]

Formula:

[tex]\to m= \tan \theta \\\\\to (y-y_1)= m(x-x_1)[/tex]

[tex]\to m= \tan \ 135^{\circ} = -1\\\\\to x_1= 2\\\\\to y_1=5[/tex]

Put the value in the above formula:

[tex]\to y- 5 = -1(x-2)\\\\\to y- 5 = -x+2\\\\\to x+y = 5+2\\\\\to x+y=7[/tex]

[tex]\to y= -x+7[/tex]

05.01)A poster is shown below: A rectangle is shown. The length of the rectangle is labeled 18 inches. The width of the rectangle is labeled 6 inches. What are the dimensions if the poster is enlarged by a factor of seven over two ? 42 in by 126 in 3 in by 9 in 9 in by 12 in 21 in by 63 in

Answers

Answer:

21 in by 63 in

Step-by-step explanation:

Answer:

Step-by-step explanation:

I took the quiz!!!!

simplify 3(12 - 8) + 5

Answers

Answer:

Step-by-step explanation:

The value of the given linear expression 3(12 - 8) + 5 is 17.

What is a linear equation?

A linear expression is an expression in which the highest power of the variable is always 1. If there is no variable, we can assume the power of the variable as 0.

Therefore, the variable x⁰ = 1.

Given linear expression:

3(12 - 8) + 5

= 3 × 4 + 5

= 12 + 5

= 17

Learn more about linear expression here: https://brainly.com/question/1955739

#SPJ2

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