Shaq was climbing a cliff. He stopped for a snack. After that, he slipped 20 feet to an earlier foothold and then slipped 4 feet to another foothold. Model the distance Shaq traveled on the cliff after his snack as a sum.

Answer:

x = ± [tex]\sqrt{\frac{a-y}{b} }[/tex]

Step-by-step explanation:

y = a - bx² ( subtract a from both sides )

y - a = - bx² ( multiply through by - 1 )

bx² = a - y ( divide both sides by b )

x² = [tex]\frac{a-y}{b}[/tex] ( take square root of both sides )

x = ± [tex]\sqrt{\frac{a-y}{b} }[/tex]

We have the function

Therefore we want to determine when we have

It means that the term

Must go to zero, then let's forget the rest of the function for a sec and focus only on this term

But for which value of t? When we have a decreasing exponential, it's interesting to input values that are multiples of the exponential coefficient, if we have 0.039 in the exponential, let's define that

The inverse of the number, but why do that? look what happens when we do t = α

And when t = 2α

We can write it in terms of e only.

And we can find for which value of α we have a small value that satisfies

Only using powers of e

Let's write some inverse powers of e:

See that at t = 5α we have a small value already, then if we input p(5α) we can get

That's already very close to 550, if we want a better approximation we can use t = 8α, which will result in 549.81, which is basically 550.

Therefore, we can use t = 5α and say that 3 people are not important for our case, and say that it's basically 550, or use t = 8α and get a very close value.

In both cases, the decimal answers would be

Answer:

18

Explanation:

The triangles are similar if their sides are proportional. It meant that the ratio of AB to CD is equal to the ratio of AE to CE, so we can write the following equation:

So, we can solve for AE as:

Therefore, the measure of AE is 18

Answer:

1485

Step-by-step explanation:

The answer is found by multiplying how many of each of the categories there are;

5 × 11 × 9 × 3 = 1485

Answer: $50,000,000

Explanation:

First, we add up the percentage of support, sales, and media covers. Given that:

Support = 23%

Sales = 22%

Media = 5%

The total percentage would be

This would mean that $25,000,000 covers half of the annual budget. The other half would be of the same amount, therefore, the total annual budget would be:

Step-by-step explanation:

I think it helps you

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Answer:

Answer:

a. The relation is a function because every input has an output.

Step-by-step explanation:

a relation in which for every input there is exactly one output (for every x there is just one y)

quizlet

Answer:

A. The relation is a function because every input has an input

Step-by-step explanation:

A relation is a function as long as there are not multiple outputs for one input. It's okay if there are multiple inputs for one output, like we can see here with points (-6, 1) and (2, 1).

Another way to test if a graphed relation is a function is the vertical line test. Draw vertical lines at multiple spots on the graph and if any of the vertical lines touches 2 points, the graphed relation is not a function.

:)

"The cost of a phone call is 7 cents to connect and an additional 6 cents per minute (m)"

If "C" indicates the total cost of a phone call and "m" corresponds to the number of minutes the phone call lasted.

The phone call costs 7 cents to connect, this means that regardless of the duration of the call, you will always pay this fee. This value corresponds to the y-intercept of the equation.

Then, the phone call costs 6 cents per minute, you can express this as "6m"

The total cost of the call can be calculated by adding the cost per minute and the fixed cost:

Given a sample and required to get the probability of a particular outcome, we make a couple of considerations including:

- Sample Space: The universal set

- Required Outcome

We can identify these variables as:

Sample space: total number of marbles = 7

Required outcome: Not blue = 7 - 2 = 5

Probability is given as:

-(p ∧ q ) is logically equivalent to

-pv-q

Given:

The perimeter of the triangle, P=91.

The sides of the triangle are,

PR=4z

QR=z+3

PQ=5z-2.

The perimeter of the triangle can be expressed as,

Now, put P=91 in the above equation to find the value of z.

Now, the length of the side QR can be calculated as,

Now, the length of QR is 12 units.

Answer:

B 5/12 (im stupi d)

Step-by-step explanation:

(3/8)/(9/10) = (3/8) * (10/9) = 5/12

Answer:

B) [tex]\frac{5}{12}[/tex]

Step-by-step explanation:

Apply the fractions rule a/b ÷c/b = a/b × d/c

= 3/8 x 10/9

Multiply fractions a/b x c/d = [tex]\frac{axc}{b x d}[/tex]

Multiply the numbers: 3 x 10 = 30

= 3/10 8 x 9

Multiply the numbers: 8 x 9 = 72

= 30/72

Cancel the common factor: 6

5/12

The variance of a given data set with size N is given by the formula:

Then, for the data set {22, 26, 17, 20, 20} and N = 5, we have:

The two triangles have a common side, RQ.

Also, given the two sides (left and right) are equal.

Also, the angle between the two sides (one side given and bottom side) is given as 90 degrees.

Thus,

we have

2 sides AND 1 angle congruent in each triangle

That is:

Side-Angle-Side, which is

SAS

THe triangles are congruent according to SAS, option B

Given: The function below

To determine: All x-intercepts of the given function

The x-intercept is a point where the graph crosses the x-axis

We would substitute the function equal to zero and find the value of x

Therefore, the coordinate of the x-intercept is (-10, 0)

The standard equation for a circle is

Part A.

Chase has successfully delivered 18 out of the 30 meals to senior citizens.

We have to calculate how many more meals (lets call it x) she has to deliver to have a 75% successful delivery record.

In order to do that, (18+x) meals have te be delivered successfully out of (30+x), and the successful meals (18+x) divided by (30+x) has to be 0.75:

Chase has to deliver 18 more meals successfully in order to have a 75% success delivery record.

Part B.

We apply the same analysis but we replace 0.75 with 0.9 as the delivery record.

Chase has to deliver 90 more meals successfully in order to have a 90% success delivery record.

Part C.

She won't be able to achieve 100% successful delivery record. We can prove it mathematically, but we already know as there are 12 meals that weren't successfully delivered, so we can get close to 100% but it can't never be reached.

Mathematically we have:

This solution is not valid, so there is no valid solution for x.

Answer:

Yes your answer is right !

Step-by-step explanation:

steps

X= 3 and y = 7

Then 8-Y and so you replace y with 7 and so it becomes

So the correct answer is D (1)

Hope this helps

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Answer :- A) Last two digits divisible by 4.

We have a cubic function

One way to find all the zeros is by factoring, we can easily find the first zero using the divisors test if we have an independent term, at our case it's -87, one of the divisors may be a zero. The divisors of -87 is 1, 3, 29 and 87.

If we check for all of the divisors we will see that -3 is a zero. (Check with both signals).

If -3 is a zero, the D'Alembert theorem tells us that f(x) is divisible by (x+3), if we do that division we'll have a quadratic function where we can just apply the quadratic formula, then

There's a theorem that says that, if f(a) is a zero, i.e f(a) = 0, and f(x) is a polynomial, then f(x) is divisible by (x-a), in other words, we can divide f(x) by (x-a) and the rest of the division will be 0.

Therefore, let's divide our function by (x+3)

Then we can write our function as

Look that now we have a quadratic function, and we can easily find its zeros, applying the quadratic formula

We have a = 1, b = -6 and c = -29. Then

Now we have all the zeros of f(x), it's

As we can see there's no complex zero, all the zeros are real numbers.

The max number of complex zeros is 2 because the complex zeros always come in pairs, so if we have 1 complex zero, automatically we have another, for a 3-degree equation, there's a maximum of 2 complex zeros and 1 real zero, or all the of them are real.

Then the correct answer is A)

x = 1 , f(x) = -2•1 - 5 = -7

Then it doesnt corresponds to f(1) = 6

Answer is OPTION E)

a proportional relationship has the following form:

yyy=

To answer this question, we need to evaluate if the ordered pair forms an identity with both equations. We need to substitute the values for x = 8, and y = -3 in both equations:

These values result in an equality in this equation. We need to evaluate the other equation:

In this case, the values do not result in an equality in one of both equations.

Therefore, we have that the correct answer is the option B:

No, the proposed solution does not result in an equality in one of the two equations.

Given statement

The ramps have

- the same height

- the same angle measure relative to the ground

- the two ends of the porch are at the same height from the ground

- the start of each ramp is the same distance from the base of the porch

A pictorial description of the problem is shown below:

Since the two ramps have similar descriptions, the angle measure of the second ramp to the ground would be exactly 24 degrees

Answer: Option B

option  b your welcome

Let's make y the subject of the equation.

The correct option is A

It is given that:

A writer for a magazine recently did a test to determine which mid-range digital camera takes the best pictures. Her method is described below.

Which part of the method describes an area of potential bias?

She gathered 20 of the best.selling cameras and used the same photographer to take 100 pictures with each camera .She ensured that the environment and the subject of each picture were consistent across all cameras and used a 10.point scale to determine picture quality. Of the cameras tested, two were from companies who are major advertisers in the magazine.

Now if the reading is done carefully, it can be concluded that the information given by:

"Of the cameras tested, two were from companies who are major advertisers in the magazine." can be considered for a potential bias since the magazine may be pressured by these two companies to give them a higher rating than they deserve.

So the option:two were from companies who are major advertisers is correct.

it is a parabolla because only variable is quadratic and the other is linear.

As a well accepted rule to solve this problem, we would transform all values to the lower units.

so for the first question:

3 km 9hm 9 dam 19 m + 7 km 2 dam

3,000 m 900 m 90 m 19 m + 7,000 m 20 m

= 4,009 + 7,020

= 11,029 m

The second question:

5 sq.km 95 ha 8,994 sq.m + 11 sq.km 11 ha 9,010 sq.m

5,000,000 sq m 95,0000 sq m 8,994 sq m + 11,000,000 sq m 110,000 sq 9,010 sq m

= 5,103,994 sq m + 11,119,010 sq m

= 16,223,004 sq m

The third question:

44 m - 5 dm

44 m - 0.5 dm

= 43.5 m

The fourth question:

72 km 47 hm 2 dam - 11 km 55 hm

72,000 m 4,700 m 20 m - 11,000 m 5,500 m

= 76,720 m - 16, 500 m

= 60,220 m

Given: The graph of the function below

To Determine: What happens to F(x) when x is negative but approaches zero

Solution:

It can be observed from the given graph that when x is negative but approaches zero, F(x) approaches negative infinity

This is as shown below

From the options provided, the best answer is F(x) is a negative number, OPTION C