If f(x)=|x−4|+5, find f(1).

Answer:

12 miles

Step-by-step explanation:

It took both Sandy and Tom 54 seconds to cover the same distance.

We can set up an equation based on their relative speed

Take the supposition that Tom needs "t" seconds to travel the distance. Sandy started jogging 12 seconds before Tom, so it will take her "t + 12" seconds longer to complete the same distance.

To determine the distance traveled by Sandy, multiply her speed (7 meters per second) by her time (t + 12) seconds. Tom's distance traveled may be determined by dividing his speed (9 meters per second) by his time (t) seconds.

Equating the distances covered by Sandy and Tom:

7(t + 12) = 9t

Expanding the equation:

7t + 84 = 9t

Subtracting 7t from both sides:

84 = 2t

Dividing both sides by 2:

t = 42

Tom traveled the distance in 42 seconds as a result. We add the 12-second lead Sandy had to determine the time it took for both Sandy and Tom to travel the same distance:

t + 12 = 42 + 12 = 54

So, it took both Sandy and Tom 54 seconds to cover the same distance.

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Answer:

p(w) - - - - - - p = 0.5w ; for 0 < w ≤ 8

p(w) - - - - - - p = 4 ; for w < 8 and w ≤ 12

Step-by-step explanation:

Price, p of weight of a toughurt serving :

p(w) - - - - - - p = 0.5w ; for 0 < w ≤ 8

p(w) - - - - - - p = 4 ; for w < 8 and w ≤ 12

The function that models the relationship is:

p(w) = 0.50w  for 0  <  w  ≤ 8

p(w) = 4w   for  8 < w ≤ 12

The self-serve frozen yoghurt store charges:

$0.50 per serving for a serving between 0 and 8 ounces

$4 per serving for any serving greater than 8 ounces and up to 12 ounces.

Let the weight of servings be represented by w

Let the price as a function of the weight be p(w)

For a charge of $0.50 per serving:

p(w)  =  0.50w,  where   0  <  w  ≤ 8

For a charge of $4 per serving:

p(w) = 4w, where 8 < w ≤ 12

Therefore, the function that models the relationship is:

p(w) = 0.50w  for 0  <  w  ≤ 8

p(w) = 4w   for  8 < w ≤ 12

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Answer:

9

Step-by-step explanation:

First add 6 to Benjamin's age to make it 18, which is twice Lucas's age. Because it's twice as much, divide 18 by 2 to get 9.

Answer:

3(x+5)

hope it helps you

The greatest possible value of A + B is 600000.

The smallest possible value of A + B is 600000.

The greatest possible value of A - B is 0.

It should be noted that from the information, A and B are integers.

A = 300,000 to the nearest 100,000

B = 300,000 to the nearest 10,000

Therefore, the greatest possible value of A + B will be:

= 300,000 + 300,000

= 600000.

The smallest possible value of A + B is also, 600000.

The greatest possible value of A - B will be:

= 300,000 - 300,000

= 0.

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The answer to the trigonometry question in the picture attached is:

   = cos θ / [sin θ * (1 - sin θ)] * (1 + sin θ)

Simplify 1-csc θ as follows:

1 - csc θ = (1 - csc θ)(1 + csc θ) / (1 + csc θ)

= 1 - csc^2 θ / (1 + csc θ)

= 1 - 1/sin^2 θ / (1 + 1/sin θ)

= 1 - sin^2 θ / (sin θ + 1)

= (sin θ - sin^2 θ) / (sin θ + 1)

Simplify 1+csc θ as follows:

1 + csc θ = (1 + csc θ)(1 - csc θ) / (1 - csc θ)

= 1 - csc^2 θ / (1 - csc θ)

= 1 - 1/sin^2 θ / (1 - 1/sin θ)

= 1 - sin^2 θ / (sin θ - 1)

= (sin θ + sin^2 θ) / (sin θ - 1)

Substitute the above simplifications in the expression cos θ/(1-csc θ) * 1+csc θ/(1+ csc θ) to get:

cos θ / (sin θ - sin^2 θ) * (sin θ + sin^2 θ) / (sin θ + 1)

Simplify the expression by canceling out the sin^2 θ terms:

cos θ / (sin θ - sin^2 θ) * (sin θ + sin^2 θ) / (sin θ + 1)

= cos θ / (sin θ - sin^2 θ) * (1 + sin θ) / (sin θ + 1)

Simplify further by factoring out common terms in the numerator and denominator:

cos θ / (sin θ - sin^2 θ) * (1 + sin θ) / (sin θ + 1)

= cos θ * (1 + sin θ) / [(sin θ - sin^2 θ) * (sin θ + 1)]

Finally, simplify the expression by factoring out a sin θ term from the denominator:

cos θ * (1 + sin θ) / [(sin θ - sin^2 θ) * (sin θ + 1)]

= cos θ * (1 + sin θ) / [sin θ * (1 - sin θ) * (sin θ + 1)]

= cos θ / [sin θ * (1 - sin θ)] * (1 + sin θ)

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The polynomial has a real zero on the given interval, because f(1) = O and f(4) = B. Therefore, the correct choice is OB.

The intermediate value theorem states that if the function f is continuous on the closed interval [a,b] and if N is any number between f(a) and f(b),

where f(a) ≠ f(b), then there is at least one number c in [a,b] such that

f(c) = N.

This means that the function takes on every value between f(a) and f(b), including N.
The polynomial

f(x) = x³ + 2x - 8

has a real zero on the interval [1,4] using the intermediate value theorem.

To prove this, we find that

f(1) = -5 and f(4) = 44.

Therefore, since f(1) is negative and f(4) is positive, then by the Intermediate Value Theorem, the polynomial has a real zero on the interval [1,4].

Therefore, the correct choice is OB. The polynomial has a real zero on the given interval, because f(1) = O and f(4) = B.

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Answer:

191 ft above the ground

yw and brainliest would return the favor ;)

Step-by-step explanation:

To calculate the height of a kite, you need to know the distance from point D (the closer of the two measurement points to the kite) to the point directly under the kite, B. Once you know this distance then multiplying this by the tangent of angle b will give you the height.

In your case, you have let out 250 feet of string and the kite makes a 40 degree angle with the ground. To calculate how high above the ground is the kite, we can use trigonometry. The height of the kite is equal to 250 feet multiplied by the tangent of 40 degrees which is approximately 191 feet.

Answer:

Keith must sell 23 bicycles to make a profit of exactly $2000 in a month. The answer is C.

Step-by-step explanation:

To solve this problem, we need to find the value of n that makes the equation P = 2000 hold true.

Substituting 2000 for P in the given equation, we get:

2000 = 400n - 7200

Adding 7200 to both sides, we get:

9200 = 400n

Dividing both sides by 400, we get:

n = 23

Therefore, Keith must sell 23 bicycles to make a profit of exactly $2000 in a month. The answer is C.

By using the concept of data structure, it can be concluded that-

First option is correct

What is data structure?

Data structure is a group of elements that provides an efficient way of storing and organizing data so that the data can be accessed and used efficiently. Data structure is a very important tool for computer science and computer engineer and especially in IT industry. Nowadays, lots of research work is being done on data structure.

The three main components of data model structure in SAP S/4HANA are,

configuration data, master data and transaction data

First option is correct

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Answer:

900 cubic feet

Step-by-step explanation:

Volume = length x width x height

= 10 x 20 x 4.5

= 900

Answer:

The answer is x=1 and y=1

Step-by-step explanation:

Multiply the second equation by -1, then add the equations together.

(2x+3y=5)

−1(2x+7y=9)

Becomes:

2x+3y=5

−2x−7y=−9

Add these equations to eliminate x:

−4y=−4

Then solve−4y=−4for y:

−4y=−4 Divide -4

\(\frac{-4y}{-4}= \frac{-4}{-4}\)

y=1

Now that we've found y let's plug it back in to solve for x.

Here's was the original equation:

2x+3y=5

Substitute 1 for y in 2x+3y=5:

2x+(3)(1)=5

2x+3=5

2x+3+−3=5+−3 ( Add -3 on both sides)

2x=2 Divide by 2

\(\frac{2x}{2} =\frac{2}{2}\)

x=1

The probability that the interval estimation procedure will generate an interval that does not contain the actual value of the population parameter being estimated is the confidence coefficient.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

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Answer:

these are tough,   it takes a lot of practice to get used to these, sooo

Step-by-step explanation:

we know the slope, m= -5/3,   and we're given a point so use the point slope formula

y= mx + b

the point we are given is in this form  (x,y)

then plug the information into our point slope formula

y = (-5/3) x  + (-2)

y = -5x/3 -2

Answer:

Use the SOH CAH TOA

Step-by-step explanation:

Angle = 60°

x = opposite o

y = adjacent a

10√ 3 = hypotenuse h

To find x we use SOH {sineø = o/h}

Sin 60° = x/10√ 3

x=10√ 3 * sin 60

X=15

You can use Pythagoras theorem or CAH{cosø = a/h}

Cos 60°= y/10√ 3

y=Cos 60° * 10√ 3

y=5√ 3

Answer:

- Reagan needs to purchase 1346 centimeters. I think it solve like this (238+435)×2 =1346 cm.

- what length of fringe does Raegan need for the longer bedspread? The answer is :

1346 + 27×2 = 1400 cm.

What if there are mistakes, hope you sympathy and forgiveness !!!

Answer:

1. 2p - 10

2. 2n + 3

3. 2t + 7

4. 11k + 6

Step-by-step explanation:

Answer:

It would be a five

Step-by-step explanation:

What do the two variables in this system represent?

the two variables represent the number of hot dogs or soft drinks you will get.

Write a system of equations to represent the model.

let s = soft drinks and let h = hot dogs

3s+2h=7.70

2s+h=4.55

What is the cost of 1 soft drink? $1.4

What is the cost of 1 hot dog? $1.75

Solving for the above two questions

solve the second eqaution for h:

2s+h=4.55

subtract 2s

h=4.55-2s

substitute this into the first equation:

3s+2(4.55-2s)=7.70

distribute the 2

3s+9.1-4s=7.70

add like terms

-s+9.1=7.70

subtract 9.1

-s=-1.4

divide by -1

s=1.4

substitute into the equation for h:

h=4.55-2s

h=4.55-2(1.4)

h=4.55-2.8

h=1.75

The answer is option d, at least 10 pants. To determine the minimum number of pants Nina can buy with Php8,000.00, considering the discounted price of t-shirts (Php150.00) and the price of pants (Php600.00), we need to calculate how many t-shirts she can buy and subtract the total cost of t-shirts from the available budget.

Then, we divide the remaining budget by the price of pants to find the minimum number of pants she can afford. Since Nina needs to order at least 30 t-shirts to avail the discount, let's calculate the cost of buying 30 t-shirts. The discounted price per t-shirt is Php150.00, so the total cost of 30 t-shirts would be 30 x Php150.00 = Php4,500.00.

To determine the remaining budget after purchasing the t-shirts, we subtract the total cost of t-shirts from the available budget: Php8,000.00 - Php4,500.00 = Php3,500.00.

Now, we divide the remaining budget by the price of pants (Php600.00) to find the minimum number of pants Nina can buy: Php3,500.00 ÷ Php600.00 = 5.83.

Since Nina cannot buy a fraction of a pant, we round down to the nearest whole number. Therefore, Nina can buy at least 5 pants with the remaining budget.

Adding the minimum number of t-shirts (30) to the minimum number of pants (5), we get a total of 35 items. However, since the question asks for the minimum number of pants only, the answer is at least 10 pants, which is option d.

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Answer:  I'm gonna go with letter A.

A. y ≥ –3

C. x ≥ –3

Step-by-step explanation:  It's either letter A or letter C.

A.

y ≥ –1

Answer:

33.9 minutes

Step-by-step explanation:

In order to find the values of x and y, consider that the triangles are similar. Then, the proportion between similar sides of the triangles are equal.

In triangles ABC and DEF you have:

EF/BC = ED/BA

by replacing the values of such sides you obtain:

x/28 = 7/14 multiply by 28 both sides

x = (7/14)(28)

x = 14

Hence, the value of x is x = 14

Next, for the same triangles use the following proportion:

AC/DF = BC/EF

by replacing the values of such sides you obtain:

y/10 = 28/14 multiply by 10 both sides

y = (28/14)(10)

y = 20

Hence, the value of y is y = 20

Morse's monthly budget is a surplus of $1,241. Morse's budget is a good example of how budgeting.

A budget helps to ensure that money is allocated properly and  resources are used efficiently. It can also help to monitor and control spending, prioritize needs, and set goals.

This is calculated by subtracting his fixed and living expenses of $4,247 ($3,783 + $464) from his annual net income of $36,451.

$36,451 - $4,247 = $32,504

This gives Morse a total of $32,504 to spend over the course of the year, or $2,709 a month.

When this amount is subtracted from his annual net income, it gives a surplus of $1,241 per month.

$36,451 - $32,504=  $1,241

Morse's budget is a good example of how budgeting can be used to ensure that all expenses are covered and that there is a surplus at the end of the year.

By planning his budget in advance and sticking to it, Morse can ensure that he has enough money to cover all of his expenses and still have a surplus at the end of the year. This ensures that he has enough money to cover unexpected costs or to save for the future.

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Answer:

Correct option is A

Step-by-step explanation:

According to given question,

\(sin 45^{0} =\frac{5\sqrt 2}{h} \\0.707=\frac{5\sqrt 2}{h} \\h=\frac{5\sqrt 2}{0.707} \\h=1\)

Therefore, correct option is A.

The probability of winning is 0.01 is -2  is the expected profit of this game.

What is probability?

Expected profit of the game =expected value received from this game- cost to play the game

=100*0.01-3

= -2

Hence, the probability of winning is 0.01 is -2 is the expected profit of this game.

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Answer:

B.

Step-by-step explanation:

Answer:

C. 6

Step-by-step explanation:

The rest are in da thousands and 6 is jus six in da ones place.

Brainliest Plezzzzzzzz