finding length of short leg and hypotenuse right triangle

Answer:

C

Step-by-step explanation:

Answer:

To find how far above the water the lip balm will be after 3 seconds, we need to evaluate the polynomial -16t² + 220 when t = 3.

Substituting t = 3 into the polynomial, we get:

-16(3²) + 220 = -16(9) + 220 = -144 + 220 = 76

Therefore, after 3 seconds, the height of the lip balm above the water will be 76 feet.

Answer:

she drops at 20 ft per second

Step-by-step explanation:

if she drops 200 ft per 10 seconds, then you would divide 200 by 10 to get 20 ft per second

Answer:

5 and 5b: y=-2x+10

5a: y-2=-2(x-6)

Step-by-step explanation:

We can use the mentioned data points to identify the slope. Time will always the x coordinate/axis, so gallons will be the y coordinate/axis. As you probably already know, slope is rise over run, so we can measure the change in y over the change in x, or we can do \(\frac{y-y_{1}}{x-x{1}}\). When we plug in our points, (2,6) and (5,0), we get  \(\frac{6-0}{2-5}\), or \(\frac{6}{-3}\), or \(\frac{2}{-1}\), or simply -2. So our slope is -2.

We can use our y-intercept (which is (0,10), as mentioned in the attached graph and table) to make the equation, in slope-intercept form, \(y=-2x+10\) This can answer both question 5 and 5b. Remember that slope-intercept form is written using the format y=mx+b, where x any given x-coordinate, y is the corresponding y-coordinate, m is the slope and b is the y-intercept.

To put this equation in point-slope form, one must first remember that point-slope form is written in the format \(y-y_{1} = m(x-x_{1})\), using the coordinates of any given coordinates on the same line, except for the y intercept. m also represents slope in this equation. So for this one, we can easily use (2,6). we can plug in these coordinates to get the equation y-2=-2(x-6).

Hope this helps.

Graph and table were created using Desmos dot com graphing calculator.

ejemplo7 + 2 + 8.5 – 3.5

7 + 2 + 8.5 + (−3.5)

La propiedad asociativa no aplica a las expresiones de resta. Entonces, reescribe la expresión como la suma de un número negativo.

(7 + 2) + 8.5 + (−3.5)

 9   + 8.5 + (−3.5)

     17.5 + (−3.5)

     17.5 – 3.5 = 14

Agrupa 7 y 2, y súmalos. Luego, súmales 8.5. Finalmente, suma −3.5, que es lo mismo que restar 3.5.

Resta 3.5. La suma es 14.

7 + 2 + (8.5 + (−3.5))

7 + 2 +     5

 9  +     5

14

Agrupa 8.5 y –3.5, y luego súmalos para obtener 5. Luego suma 7 y 2, y súmalos al 5.

La suma es 14.

Respuesta    (7 + 2) + 8.5 – 3.5 = 14 y 7 + 2 + (8.5 + (−3.5))

Answer:

Step-by-step explanation:

Given Parmesan cheese was on sale for  $13.60 per pound

Welsey bought a piece of the parmesan cheese that weighted \frac{11}{8} pounds

we need to spend$13.60 for 1 pound

for 11/8 pound

11/8 x 13.60= 18.72

So Wesley need to spend $18.70 to get the Parmesan cheese.

9514 1404 393

Answer:

  x + y = 6   (or choice C, see comment)

Step-by-step explanation:

The equation of the line through point B and perpendicular to AB can be written as ...

  (Bx -Ax)(x -Bx) +(By -Ay)(y -By) = 0 . . . . where A = (Ax, Ay) and B = (Bx, By)

  (2 -(-3))(x -2) +(4 -(-1))(y -4) = 0

  5x +5y -30 = 0

  x + y = 6 . . . . . . reduce to standard form

__

Additional comment

None of the offered choices describes a line through point B. (See second attachment). We note that several of the lines go through the point (4, 4). The segment joining points (-3, -1) and (4, 4) will be perpendicular to the line -7x -5y = -48, answer choice C.

Please talk to your teacher about this question.

The answer from part A tells us that the trout population was 10 in the first month after it was introduced.

A. P(0) = 740 / (1 + 73e^-0) = 740 / (1 + 73) = 740 / 74 = 10, so the answer is 10.

B. The answer from part A tells us that the trout population was 10 in the first month after it was introduced.

C. To find the number of trout in the lake after 1 year, we need to find P(12): P(12) = 740 / (1 + 73e^-0.07*12) = 740 / (1 + 73e^-0.84) ≈ 490, so the answer is 490.

D. To find the number of trout in the lake after 10 years, we need to find P(120): P(120) = 740 / (1 + 73e^-0.07*120) = 740 / (1 + 73e^-8.4) ≈ 740, so the answer is 740.

E. lim t→∞ P(t) = 740, so the answer is 740.

F. The answer from part E tells us that as the number of months t approaches infinity, the trout population will approach 740. This means that the trout population will eventually stabilize at 740 if no other factors such as predators, disease, or lack of food affect the population.

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Hey! Your answer would be 27.

Answer:

8x+3

Step-by-step explanation:

The simplified expression is  c²a³ - 3\(a^4\)c +  a²bc² - a³bc  - 3\(a^4\)b+ 4ab²c² - 22a²b²c + 36a³b + 12a³b² / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²).

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

c +6b/(-2bc-6ab- 3a²) + 2b/(a² + 2ab) - b/(ac - 3a²)

Now, simplifying

(c+ 6b) (a² + 2ab)(ac - 3a²) + 2b(-2bc-6ab- 3a²)(ac - 3a²)- b (-2bc-6ab- 3a²)(a² + 2ab) / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²)

= ca² + abc + 6a²b + ab² (ac - 3a²) + (4b²c - 12ab² - 6a²b)(ac - 3a²) - ( -2b²c - 6ab² - 3a²b)(a² + 2ab) / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²)

= c²a³ - 3\(a^4\)c + a²bc² - 3a³bc + 6a³bc - 18\(a^4\)b + 4ab²c² - 12a²b²c - 12 a²b²c+ 36a³b - 6a³bc + 18\(a^4\)b + 2a²b²c +  4a³bc + 6a³b² + 12a²b³  - 3\(a^4\)b + 6a³b² / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²)

= c²a³ - 3\(a^4\)c +  a²bc² - a³bc  - 3\(a^4\)b+ 4ab²c² - 22a²b²c + 36a³b + 12a³b² / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²)

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The total number of fish will be 181 million, the total number of cats will be 93 million and the total number of dogs will be 78 million.

The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

As per the given information in the question,

Let number of Fish = x

Let number of cats = y

Let number of dogs = z

x + y + z = 352

y + z = 352 - x

x = (y + z) + 10

y = z + 15

x = (y + z) +10

x = 352 - x + 10

2x = 362

x =181 million

when x = 181

y + z = 171 and y - z = 15

2y = 186

y = 93 million

z = y - 15

z = 93 - 15

z = 78 million

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Answer:

f = 648

Step-by-step explanation:

\(\frac{f}{24} =27\)

Multiply both sides by 24

\(f=648\)

Solution:

Given:

Shadow of the bridge = 105ft

Shadow of you = 7 ft

(a) Draw this scenario out:

(b)

The bridge is 85ft tall

(c) Let the shadow of the nearby fence be x

The length of the shadow of the nearby fence = 9.88 ft (2 decimal places)

Answer:

9/5

Step-by-step explanation:

it is because 3/1 × 3×5

so which means 9/5

Answer:

1.8

Step-by-step explanation:

first you make the 3 3/1 then multiply 3/3 which are the numerators so that is 9 then you multiply the imaginary 1 that is under the 3 to the 5 so you get 9/5 and that simplified is 1 4/5 and then put that into a decimal is 1.8

Answer:

y = 150z + .25x

y = $ amount of rental

z = weeks rented

x = miles driven

i hope this helps :)

Answer:

b. P(C|U)

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event U: Event that a randomly chosen employee of an insurance company has been an underwriter.

Event C: Event that a randomly chosen employee of an insurance company has been a claims adjuster.

Select the correct answer below:

Claims adjuster given that it has been an underwriter, so P(C|U), and the correct answer is given by option b.

Answer:

Width = 7, Length = 42

Step-by-step explanation:

Length is 6 times its width, means that it's the same number but times 6 so we'll use "x" for both length and width:

6x · x = 294

6x^2 = 294

divide both sides by 6

x^2 = 49

\(\sqrt{x^2}\) = \(\sqrt{49}\)

x = 7, width is 7 and length is 6(7) = 42

Answer:

The answer is 44!

Step-by-step explanation:

hehe ywww!!

renegade???

Answer:

654 ft

Step-by-step explanation:

in this case you have a SOH-CAH-TOA problem.

we need Adjacent and opposite so we use tan

tan (17) = O/A

tan (17) = 200ft / x

x = 654.17 ft

to the nearest foot = 654 ft

Leave a like and mark brainliest if this helped

Leave a like and mark brainliest if this helped

The distance that represent the ship from the base of the cliff should be considered as the 654 ft.

Since

A ship’s captain sights the top of a 200 foot cliff at a 17° angle of elevation.

So the following formula should be applied

\(tan (17) = O/A\\\\tan (17) = 200ft / x\)

x = 654.17 ft

= 654 ft

hence, The distance that represent the ship from the base of the cliff should be considered as the 654 ft.

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The value of x in the right triangle is 10.43 units.

A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in the triangle is 180 degrees. Therefore, let's find the value of x in the right triangle.

tan 41 = opposite / adjacent

opposite side = x

adjacent side = 12

Therefore,

tan 41° = x / 12

cross multiply

x = 12 tan 41°

x = 12 × 0.86928673781

x = 10.4314408538

Therefore,

x = 10.43 units

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Solution:

Step-1: Find the slope of the line.

Step-2: Find the y-intercept.

When looking at point (0 -5), we can see that the x-coordinate is 0.

This means that:

Step-3: Create the equation.

Answer:

I believe the answer is=2x2+342.

The sum of two number is 5

Let the first number is the largest number and it is x

and the second number is y

The larger number is 14 more than twice the smaller number.

So,

First number = 14 +2 (second number)

x = 14 +2y

Since the sum of two number is 5 : x + y =5

The system of linear equation are :

x +y =5

x = 14 +2y

The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.

To understand why this is the case, let's break down each expression and simplify them step by step:

StartRoot \(8 x^7 y^8\) EndRoot:

We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.

Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.

(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:

Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.

Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.

Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.

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Answer:

6<x<8

Step-by-step explanation:

−47>−8x+1>−63 (Simplify all parts of the inequality)

−47+−1>−8x+1+−1>−63+−1 (Add -1 to all parts)

−48>−8x>−64

−48/−8 > −8x/−8 > −64/−8 (Divide all parts by -8)

and the answer would be: 6<x<8

Answer:

15

hope it's helpful ❤❤❤❤

THANK YOU.

Answer:

15

Step-by-step explanation:

30%x50÷100=15

The value of the angle x is 110 degrees

A transversal is described as a line that passes two lines of distinct points

Also, we need to know that pair of angles on a straight line sums up to 180 degrees.

Supplementary angles are described as angles that sum up to 180 degrees.

Corresponding angles are also equal, then, we have that;

70 + x = 180

collect the like terms, we get;

x = 180 - 70

subtract the values, we have;

x = 110 degrees

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Answer:

a) f(1) = 3

b) f(-1) = -0.25

c) x = 0, 3

d) x = -0.75

e) domain   [-2, 4]

    range   [-1, 3]

Step-by-step explanation:

In this graph, f(x) is represented by the y-axis.

a) We can see that f(1) (the y-value when x = 1) is 3.

b) Looking at the graph, we can estimate f(-1) as about -0.25.

c) We need to find the x-values when the y-axis is at 1. We can see that there are two points at x = 0, 3.

d) Looking at the graph, we can estimate that f(x) = 0 around when x = -0.75.

e) The domain of a function is its set of x-values. We can see that f(x) spans from x = -2 to x = 4. That range in interval notation is: [-2, 4]

The range of a function is its set of y-values. We can see that f(x) spans from y = -1 to y = 3. That range in interval notation is: [-1, 3].

Answer: answer is step by step

Step-by-step explanation:

A one-step equation is an algebraic equation you can solve in only one step. Once you've solved it, you've found the value of the variable that makes the equation true.

Hello there! I hope my answer will help you!

Look:

x+2=0

x=0-2

x=-2

Actually, it's Mental Math! :)

\(GraceRosalia\)