f(x)=-x^2+6x+19 find f(5)

Answer: 15 degrees Celsius

Step-by-step explanation:

Sound travels fastest usually at 25 degrees Celsius when the air is hotter as physics professor Kim strong stated

• correct me if I'm wrong

Answer:

x = 15.

Therefore, the width of the walkway is 15m.

Step-by-step explanation:

Let's represent the width of the walkway by "x".

We know that the total width/base of the area (including the walkway) is 300m, so we can set up the equation:

length of field + 2(width of field) + 2(width of walkway) = 300

Substituting the given values, we get:

200 + 2w + 2x = 300

Simplifying the equation, we get:

2w + 2x = 100

We also know that the area of the field is 30,000m, so we can set up the equation:

length of field x width of field = 30,000

Substituting the given values, we get:

200w = 30,000

Simplifying the equation, we get:

w = 150

Finally, we know that the total area (including the walkway) is 60,000m, so we can set up the equation:

(length of field + 2x) x (width of field + 2x) = 60,000

Substituting the values we've found so far, we get:

(200 + 2x) x (150 + 2x) = 60,000

Expanding the equation, we get:

300x^2 + 1000x - 45,000 = 0

Solving for x using the quadratic formula, we get:

x = 15 or x = -30/100

Since x can't be negative, we can discard the negative solution and conclude that x = 15.

Therefore, the width of the walkway is 15m.

Answer:

23x-4

Step-by-step explanation:

x+22x-4 ( If a term doesn't have a coefficient, it is considered that the coefficient is 1

1x+22x-4 Collect like terms by adding their coefficients (1+22)x-4

Then, add the numbers.

(1+22)x-4

23x-4

Answer: 96 servings.

Step-by-step explanation:
There are 16 cups in 1 gallon, so 3 gallons of punch would be equal to:

3 gallons x 16 cups/gallon = 48 cups

If each serving size is 1/2 cup, then the number of servings in 3 gallons of punch would be:

48 cups / (1/2 cup/serving) = 96 servings

Therefore, 3 gallons of punch would provide 96 servings, assuming each serving size is 1/2 cup.

Answer: a

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

You need to find x, so you'll have to use cos in this case, because x is adjacent to the only angle you have.

So, you'll get:

cos 30 = x/10 (adjacent/hypotenuse)

Rearrange the equation for x:

x = cos 30 x 10

*Since the options you have are in exact values, you can't use a calculator just to find x.

Cos 30 in exact values is √3/2

*you can either memorise these values or learn the trig triangles. either way, just know the exact values for sin, cos and tan for 30, 60 and 90 degrees

So to find x:

x = √3/2  x 10

x = 5√3

Hope that helped : )

Answer:

last one

Step-by-step explanation:

Answer:

Step-by-step explanation:

D

Answer:

m<32

Step-by-step explanation:

You add 4 to both sides to isolate the variable which in this case is m this gives you 32>m, then you can just flip the equation.

Answer: m < 32

Step-by-step explanation:

28 > m - 4

Add 4 to both sides:

32 > m

Flip the inequality so m is in front:

m < 32

Hope this helps!

We need to find the inverse of the function gof (x). First we need to find the composite function gof (x) which is given by:

\(g(f(x)) = g(3x - 6)\)

= \((1/3)(3x - 6) + 1\)

= x - 1 + 1

= x

Thus,

gof (x) = x.

Now we need to find the inverse of the function gof (x) to obtain

\((gof)^-1 (x).\)

We have gof (x) = x

which implies\((gof)^-1 (x)\)

= gof (x)^-1

= x^-1

= 1/x,

x ≠ 0

Therefore,

\((gof)^-1 (x) = 1/x\)

which is option (3) (x+1) since 1/x can be written as 1/(x+1-1), where (x+1-1) is the denominator of 1/x.

Hence, the correct option is (3).

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To find (g(f))^-1 (x), substitute the expression for f(x) into g(x) and simplify. The composition of g(f) is x and its inverse is also x. Therefore, (g(f))^-1 (x) equals x.

To find (g(f))^-1 (x), we need to first find the composition of g(f) and then find its inverse. Start by substituting the expression for f(x) into g(x): g(f(x)) = g(3x-6) = \frac{1}{3}(3x-6) + 1 = x - 1 + 1 = x. So, g(f(x)) = x. Now, to find the inverse of g(f), we switch the x and y variables and solve for y: y = x. Therefore, (g(f))^-1 (x) = x.

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Answer:

Slope is 2/5

Step-by-step explanation:

The root of the equation sinx = 2x-3 is 0.8401 (approx).

Given equation is sinx = 2x-3

We need to solve this equation using false position method.

False position method is also known as the regula falsi method.

It is an iterative method used to solve nonlinear equations.

The method is based on the intermediate value theorem.

False position method is a modified version of the bisection method.

The following steps are followed to solve the given equation using the false position method:

1. We will take the end points of the interval a and b in such a way that f(a) and f(b) have opposite signs.

Here, f(x) = sinx - 2x + 3.

2. Calculate the value of c using the following formula: c = [(a*f(b)) - (b*f(a))] / (f(b) - f(a))

3. Evaluate the function at point c and find the sign of f(c).

4. If f(c) is positive, then the root lies between a and c. So, we replace b with c. If f(c) is negative, then the root lies between c and b. So, we replace a with c.

5. Repeat the steps 2 to 4 until we obtain the required accuracy.

Let's solve the given equation using the false position method.

We will take a = 0 and b = 1 because f(0) = 3 and f(1) = -0.1585 have opposite signs.

So, the root lies between 0 and 1.

The calculation is shown in the attached image below.

Therefore, the root of the equation sinx = 2x-3 is 0.8401 (approx).

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The plan with the smallest one-time membership fee is Plan D.

The point-slope formula will be used to determine the equation that models the cost of each plans.

(y - y₁) = [(y₂ - y₁)/(x₂ - x₁)](x - x₁)

where (x₁, y₁) is the coordinates of point 1

(x₂, y₂) is the coordinates of point 2.

For the equation y = mx + b,

let x = number of discs rented

y = total cost

m = rental rate per disc

b = one-time membership fee

Plan A

(y - 14) = [(17 - 14)/(2 - 1)](x - 1)

y - 14 = 3x - 3

y = 3x + 11

Plan B

(y - 12) = [(16 - 12)/(2 - 1)](x - 1)

y - 12 = 4x - 4

y = 4x + 8

Plan C

(y - 10) = [(15 - 10)/(2 - 1)](x - 1)

y - 10 = 5x - 5

y = 5x + 5

Plan D

(y - 12) = [(21 - 12)/(2 - 1)](x - 1)

y - 12 = 9x - 9

y = 9x + 3

Hence, the plan with the smallest one-time membership fee, b, is Plan D.

Your question is incomplete, but most probably you are asking

"...Which plan has the smallest one-time membership fee?"

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Answer:

183

Step-by-step explanation:

The absolute value of a number is the number's distance from zero, which will always be a positive value. To find the absolute value of a number, drop the negative sign if there is one to make the number positive.

Answer: 183 ✅

Step-by-step explanation:

Hii, do you need to know the absolute value of "-183"? No problem! (:

The absolute value of a number is that number's distance from zero.

That's why absolute value is always positive, because negative distances don't exist.

That's why the absolute value of a number is always positive.

| | denotes absolute value

\(\large\boldsymbol{\therefore,\;the\;absolute\;value\;of\;-183\;is\;183}}\)

Voila! There's our answer, cheers! (:

Hope that this helped! Best wishes.      

\(\bigstar\underbrace\)

Answer:

1 inch

Step-by-step explanation:

It's 1 inch because you minus 20 inch by 19 inch and get 1 inch

Answer:

This is what I think it is but im no good at this so sorry if it is wrong. XP

Step-by-step explanation:

y=4/7x

y*7= 4/7*7x

y*7=4x

7y/4x = 4x/4x

7y/4x=0

undefined

Answer:

2

Step-by-step explanation:

→ Find 2 points from the line

( 0 , 6 ) and ( - 3 , 0 )

→ Find the change in y coordinates

0 - 6 = -6

→ Find the change in x coordinates

-3 - 0 = -3

→ Divide the 2 results

-6 ÷ -3 = 2

Answer:

0.2222222...

Step-by-step explanation:

Long division or just googl

Answer:

.2 with a bar on top of the 2

Step-by-step explanation:

Whenever we have a number over 9 (Ex. 1/9, 2/9, 4/9), we can write it as a . and then that number, with a bar on top (Which basically tells you that it is repeating).

Answer:

a) 614.8km

b) $185.25

Step-by-step explanation:

25L = 265km

58L = \(\frac{58}{25}\) × 265km

       = 614.8km

To find the cost of the petrol used, we need to find the amount of petrol used for 1007km first. You already know 265km requires 25L of petrol based on the question.

265km = 25L

1007km = \(\frac{1007}{265}\) × 25L

             = 95L

You also know for 1L, the cost is $1.95. Thus, you can find the cost for 95L.

1L = $1.95

95L = 95 × $1.95

      = $185.25

Answer:

Step-by-step explanation:

I'm assuming by 'image point' you mean the translated or final point.

if it has been translated 5 units to the right, the new x-coordinate will be 4 + 5 = 9

Same for the y-coordinate. Since it has been translated down, we will subtract instead of add. therefore, it is -6 - 3 = -9

new point = (9,-9)

Hope this helps

Answer:

there missing is equal to 15

hope it will help you

Atomic orbitals are regions around an atomic nucleus where electrons are likely to be found. They have different shapes and energy levels, determining an electron's position and behavior within an atom.

Based on the given answer choices, the atomic orbitals are:

1. σ2px
2. 2s
3. π2py
4. σ1s
5. 3px
6. σ*2px

These are atomic orbitals because they describe the wave function of an electron in an atom, using a combination of quantum numbers (n, l, and m) and the type of orbital (s, p, or d). σ and π represent bonding and antibonding orbitals, respectively, while the asterisk (*) denotes an antibonding orbital.

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Answer:

Look at my image:

Left 4, down 2

Answer:

Jo's drink have more pineapple taste than the tropical drink and less orange taste than the tropical drink

Step-by-step explanation:

A recipe for tropical punch calls for 2 cups of pineapple juice and 3 cups of orange juice. Jo creates a drink by mixing 3 cups of pineapple juice with 4 cups of orange juice. How does Jo's drink compare to the tropical punch recipe?

Tropical punch:

Pineapple juice = 2 cups

Orange juice = 3 cups

Total number of cups of juice = 2 + 3

= 5 cups.

Percentage of pineapple juice in tropical punch = 2/5 × 100

= 40%

Percentage of orange juice in tropical punch = 3/5 × 100

= 60%

Jo's drink:

Pineapple juice = 3 cups

Orange juice = 4 cups

Total number of cups of juice = 3 + 4

= 7 cups

Percentage of pineapple in Jo's drink = 3/7 × 100

= 42.86%

Percentage of orange juice Jo's drink = 4/7 × 100

= 57.14%

Therefore, Jo's drink have more pineapple taste than the tropical drink and less orange taste than the tropical drink

Answer: Jo's drink will have a stronger pineapple taste

Step-by-step explanation:

Answer:

Can you solve #18 from practice test 5 calculator section? ... years old and a pin oak tree with a diameter of 12 inches is ... because on the test you would have figured these mechanics out on ... Now, note that the concept of a “growth factor” as provided in the table ... That's a difference of about 1.3 inches.

Step-by-step explanation:

The new values for the mean and standard deviation are M = 150 and s = 15. (1)

When every score in a sample is multiplied by a constant factor, the mean of the sample is also multiplied by the same constant factor. So, the new mean would be 3 * m = 3 * 50 = 150.

However, the standard deviation is not affected by multiplying every score in a sample by a constant factor. To see why this is the case, consider that the standard deviation is a measure of the spread of the scores around the mean.

Multiplying every score in a sample by a constant factor stretches or shrinks all of the scores by the same amount, so the spread of the scores around the mean remains unchanged.

Therefore, the new standard deviation would be the same as the original standard deviation, s = 5. So, the new values for the mean and standard deviation are M = 150 and s = 15.

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Answer:

39

Step-by-step explanation:

bc+5a

Substitute values

(4)(6) + 5(3)

= 24 + 15

= 39

Given:

Vertex: (-3, 3)

Focus: (-3, 2)

Let's find the distance from the point (x, y) to the focus of the parabola and the directrix.

To find the distance, apply the distance formula:

Thus, we have:

Distance from (x, y) to the focus:

Where:

(x1, y1) ==> (x, y)

(x2, y2) ==> (-3, 2)

Thus, we have:

Therefore, the distance from the point (x, y) to the focus is:

• The distance from the point to the directrix.

From the graph, the directrix is:

y = 4

Now, to find the distance, subtract the y-coordinate of the point from y = 4.

The distance is the absolute value of the result.

Thus, we have:

ANSWER:

Distance from the point to the focus:

Distance from the point to directrix:

Answer:

There is no context to determine the value of 8. It could refer to a number, angle, or multiple-choice answer. More information is needed.

Step-by-step explanation:

Answer:

B. 44.4

Step-by-step explanation:

sinA = leg opposite ∠A / hypotenuse : sin (∠SRQ) = ⁻⁻QS/⁻⁻RS

Substitute ⁻⁻QS = 14, ⁻⁻RS = 20, ∠SRQ=0 into sin (∠SRQ)=⁻⁻QS/⁻⁻RS : sin(0) = 14/20

sin(0) = 14/20 : 0=44.4

Answer:

3

Step-by-step explanation:

To find the answer, heres what you need to do.

Basically, you divide each number on the right by the number on the left.

15/5= 3

24/8=3

36/12=3

72/24=3

Since all of the answers are 3, your answer is 3

Answer:

3

Step-by-step explanation:

Slope Formula:

y2 - y1/x2 - x1

Let's use (5, 15) and (8,24)

(x1, y1) = (5, 15)

(y1, y2) = (8, 24)

Substitute:

y2 - y1/x2 - x1

24 - 15/8 - 5

Solve:

24 - 15/8 - 5

9/3

= 3

Therefore the slope, or constant rate is 3.

Tip: look at the relationship between Cost and Time.

15/5 = 3

24/8 = 3

36/12 = 3

72/24 = 3

Dividing is a simple way to find the slope!

Answer:

Given: y = x2 + 4x – 5

Find the following

y-intercept

x-intercepts or the zeros of the functions or roots

graph of the function, given vertex is at (-2, -9)

Solve the system of linear equations      – x + 6y = 8        2x + 5y = 3

Write the names of curves, given their equations:  

x2/16 + y2/9 = 1

3y = 2x + 5

(x - 5)2 + (y + 6)2 = 25

x2/16 – y2/25 = 1

y = 2x2 + 10x + 25

Write down the first five terms of the arithmetic progression with the first term 8 and common difference 7, then find the 17th

Write down the first five terms of the geometric progression with the first term 3 and common ratio 2, then find the 17th