f^3 + 11g - 4h when f = 3 g =2 and h = 7

Answer:

The answer is D.

Step-by-step explanation:

The lateral surface area of a 3-D figure is the area of each face that is NOT a base.

Answer:

Step-by-step explanation:

$0.50 per centimeters i think

Answer:

a) Cost of flying from A to B = $425

b) Total distance travelled by Piravena during the complete trip = 7,500 km

c) To minimize cost and arrive at the final cost given, she must have travelled by bus from B to C and then travelled by taking an airplane from C to A.

Step-by-step explanation:

The complete question is presented in the attached image to this question.

Full Question

a) To begin her trip she flew from A to B. Determine the cost of flying from A to B.

b) Determine the distance she travels for her complete trip.

c) Piravena chose the least expensive way to travel between cities and her total cost was $1012.50. Given that she flew from A to B, determine her method of transportation from B to C and her method of transportation from C to A.

Solution

a) The distance from A to B is given as 3250 km.

To take an airplane, it costs her a $100 booking fee, plus $0.10 per kilometer.

So, to fly 3250 km, she will pay

100 + (0.10×3250) = $425

b) For her complete journey, she is to make a trip from A to B then from B to C, then from C to A.

Her complete distance travelled = AB + BC + CA

But it is given that the three cities form a right angled triangle as given in the question with AB serving as the hypotenuse side.

Pythagoras theorem gives that the square of the hypotenuse side is equal to the sum of the respective squares of the other two sides

AB² = BC² + CA²

3250² = BC² + 3000²

BC² = 3250² - 3000² = 1,562,500

BC = √1,562,500 = 1,250 km

Total distance covered by Piravena during the entire trip = AB + BC + CA = 3250 + 1250 + 3000 = 7,500 km

c) Her total cost of travel = $1012.50

But she definitely flew from A to B at a cost of $425

This means she spent (1012.50 - 425) on the rest of the journey, that is, $587.5

Note that to travel by bus, it is $0.15 per kilometre and to travel by airplane is $100 + $0.10 per kilometre. Indicating that the airplane saves cost on long distance travels while the bus saves cost on short distance travels.

To confirm this, we calculate the two options (bus or airplane) for each route.

If she travels B to C by bus, cost = 0.15 × 1250 = $187.5

If she travels B to C by airplane, cost = 100 + (0.10×1250) = $225

Hence, the bus obviously minimizes cost here.

If she travels from C to A by bus, cost = 0.15 × 3000 = $450

If she travels from C to A by airplane, cost = 100 + (0.10×3000) = $400

Here, travelling by airplane minimizes the cost.

So, if we confirm now that she travelled from B to C by bus and then from C to A by airplane, total cost = 187.5 + 400 = $587.5

which is the remaining part of her total cost is she minimized expenses!

Hope this Helps!!!

Answer:

The distance is 7500 kilometers

Step-by-step explanation:

I got the answer wrong myself and the website told me that it’s 7500 kilometers

Answer:

Step-by-step explanation:

The length PN is the diagonal of a rectangle that is 33 m by 60 m. Its length can be found from the Pythagorean theorem.

  PN² = 33² +60² = 4689

  PN = √4689 ≈ 68.476 . . . meters

Diagonal NS is the hypotenuse of triangle PNS. Once again, the Pythagorean theorem can be used to find its measure.

  NS² = PN² +PS² = 4689 +1600 = 6289

  NS = √6289

  NS ≈ 79.3 . . . meters

__

We have the side adjacent (PN) and the side opposite (PS) to angle PNS, so we can use the tangent function to find the angle:

  tan(PNS) = NS/PN = 40/68.476

  ∠PNS = arctan(40/68.476)

  ∠PNS ≈ 30.3°

Answer:

y = -2/3x + 1

Step-by-step explanation:

Step 1: Find slope

m = (-1 - 3)/(3 + 3)

m = -2/3

y = -2/3x + b

Step 2: Find b

-1 = -2/3(3) + b

-1 = -2 + b

b = 1

Step 3: Write equation

y = -2/3x + 1

Answer:

9 burritos

Step-by-step explanation:

We can use ratios to solve

8 cups         12 cups

----------   = -----------------

6 burritos     x burritos

Using cross products

8x = 6*12

8x = 72

Divide by 8

8x/8 =72/8

x = 9

9 burritos

Answer:

C is closest to the actual result, $1126.03.

Step-by-step explanation:

Use the Compound Amount formula:  A = P(1 + r/n)^(nt), where:

 P is the original principal; r is the interest rate as a decimal fraction; n is the number of compounding periods per year, and t is the number of years.

Then we have A = $1000(1 + 0.04/4)^(4*3), or

                            = $1000(1.01)^12  =  $1126.03

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

where the slope m is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (2, -3) and (-6, -1).

Substitute:

[tex]m=\dfrac{-1-(-3)}{-6-2}=\dfrac{2}{-8}=-\dfrac{1}{4}[/tex]

[tex]y-(-3)=-\dfrac{1}{4}(x-2)\\\\y+3=-\dfrac{1}{4}(x-2)\to\text{point-slope form}[/tex]

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

[tex]y+3=-\dfrac{1}{4}(x-2)[/tex]

[tex]y+3=-\dfrac{1}{4}x+\dfrac{1}{2}[/tex]         subtract 3 from both sides

[tex]y=-\dfrac{1}{4}x-2\dfrac{1}{2}\to\text{slope-intercept form}[/tex]

The standard form of an equation of a line:

[tex]Ax+By=C[/tex]

[tex]y+3=-\dfrac{1}{4}(x-2)[/tex]      multiply both sides by 4

[tex]4y+12=-(x-2)[/tex]

[tex]4y+12=-x+2[/tex]        subtract 12 from both sides

[tex]4y=-x-10[/tex]           add x to both sides

[tex]x+4y=-10\to\text{standard form}[/tex]

Answer:

1) The student didn't add copper sulfate but instead he added calcium carbonate.

2) The heated solution should be left to get bigger crystals and should not be instantly allowed to evaporate.

3) He should use copper carbonate not calcium carbonate.

4) Sulfuric acid was added instead of hydrochloric acid.

5) Add solid excessively so that all of the acid is retained.

6) Filter the solution to remove unreacted solid.

7) Heat gently, so the crystals will start to appear.

The reactants in this reaction ought to have been copper carbonate and sulfuric acid.

The student is trying to carry out a reaction that would produce copper sulfate using two starting materials. The process is also expected to involve the evolution if a gas. However the process failed to produce the desired product. The following adjustments should be made to the process;

If these two adjustments are made, the equation of the reaction occurs as follows; CuCO3​(s) + H2​SO(​aq) → CuSO4​(aq) + CO2​(g) + H2​O(l).

Learn more: https://brainly.com/question/731147

Answer:

25 pounds of mix A

10 pounds of mix B

Step-by-step explanation:

Each pound of mix A takes half a pound of peanuts and each pound of mix B takes one fourth of a pound of peanuts. Total peanuts consumption is:

[tex]0.5A+0.25B=15[/tex]

Each pound of mix A takes half a pound of almonds and each pound of mix B takes three fourths of a pound of almonds. Total almonds consumption is:

[tex]0.5A+0.75B=20[/tex]

Solving the linear system:

[tex]0.5A+0.25B=15\\0.5A+0.75B=20\\0.5B=5\\B=10\ pounds\\0.5A=15-0.25*10\\A=25\ pounds[/tex]

In order to exactly use all of your ingredients, you should make 25 pounds of mix A and 10 pounds of mix B

Answer:

$1.33

Step-by-step explanation:

let the cost of apple be $x .

now according to question the two shoppers spend the same amount

4.75x+4=5.5x+3

0.75x=1

x= 4/3= $1.33

therefore,  pound of apples cost = $1.33

Step-by-step explanation:

it's simple:

none of the above

Step-by-step explanation:

Answer:

option c

Step-by-step explanation:

Answer:

x= -4

Step-by-step explanation:

2x+4=6x+20

so 2x-6x=20-4

divide both sides by -4

-4x/-4 = 16/4

=-4

Answer:

17/6

Step-by-step explanation:

El único problema aquí es conocer las operaciones con el surd por favor note que;

√a * √a = a Así;

√3 * √3 = 3

Entonces, la otra cosa a tener en cuenta es el orden de las ecuaciones.

Resolvemos los corchetes antes de proceder con cualquier otra cosa.

1 / 3√3 * 5 / 4√3 = 5/12 (3) = 5/36

Es esto lo que agregamos a 7/4

5/36 + 7/4 = (5 + 63) / 36 = 68/36 = 17/6

Answer:

140 square units

Step-by-step explanation:

The areas of the three right triangles are subtracted from the area of the entire box. This gives you 140 square units.

Answer:

[tex] \sqrt{ {x}^{2} - 1 } [/tex]

Solution,

base=1

perpendicular=?

hypotenuse=X

now,

using Pythagoras theorem,

x^2=p^2+b^2

or, x^2=p^2+1^2

or,p^2=x^2-1

or, p=√x^2-1

tan theta=perpendicular/ base

tan theta =√x^2-1/1

tan theta=√x^2-1

z=tan theta

z=√x^2-1

Hope this helps...

Good luck on your assignment..

Answer:

[tex]\sqrt{x^{2}-1}}[/tex].

Step-by-step explanation:

The tangent of theta means that you are trying to find opposite over adjacent.

You already have the value of the adjacent (1), so all you need to do is find the opposite. That would be the square root of the hypotenuse squared minus the adjacent squared.

The opposite would be sqrt(x^2 - 1^2) = [tex]\sqrt{x^{2}-1}}[/tex].

When you put it together, tan(theta) = [tex]\frac {\sqrt{x^{2}-1} }{1}[/tex]

That is [tex]\sqrt{x^{2}-1}}[/tex].

So, z, in terms of x, is [tex]\sqrt{x^{2}-1}}[/tex].

Hope this helps!

Answer:

[tex]\boxed{\sf \ \ \ x = 5 \ or \ x=-5 \ \ \ }[/tex]

Step-by-step explanation:

Hello,

[tex]x^2-25=0\\<=> x^2-5^2=0\\<=> (x-5)(x+5)=0\\<=> x-5 = 0 \ or \ x+5=0\\<=> x = 5 \ or \ x=-5[/tex]

hope this helps

Answer:

The reason is because linear functions always have real solutions while some quadratic functions have only imaginary solutions

Step-by-step explanation:

An asymptote of a curve (function) is the line to which the curve is converging or to which the curve to line distance decreases progressively towards zero as the x and y coordinates of points on the line approaches infinity such that the line and its asymptote do not meet.

The reciprocals of linear function f(x) are the number 1 divided by function that is 1/f(x) such that there always exist a value of x for which the function f(x) which is the denominator of the reciprocal equals zero (f(x) = 0) and the value of the reciprocal of the function at that point (y' = 1/(f(x)=0) = 1/0 = ∞) is infinity.

Therefore, because a linear function always has a real solution there always exist a value of x for which the reciprocal of a linear function  approaches infinity that is have a vertical asymptote.

However a quadratic function does not always have a real solution as from the general formula of solving quadratic equations, which are put in the form, a·x² + b·x + c = 0 is  [tex]\dfrac{-b \pm \sqrt{b^{2} - 4\cdot a\cdot c}}{2\cdot a}[/tex], and when 4·a·c > b² we have;

b² - 4·a·c < 0 = -ve value hence;

√(-ve value) = Imaginary number

Hence the reciprocal of the quadratic function f(x) = a·x² + b·x + c = 0, where 4·a·c > b² does not have a real solution when the function is equal to zero hence the reciprocal of the quadratic function which is 1/(a·x² + b·x + c = 0) has imaginary values, and therefore does not have vertical asymptotes.

Answer:

12 7/10

Step-by-step explanation:

13  - 12/40

Simplify the fraction

13 - 3/10

Borrow 1 from 13 in the form of 10/10

12 + 10/10 - 3/10

12 7/10

Answer:

31

Step-by-step explanation:

Median is the middle number when you order them ascending.

Answer:

40 million acres.

Step-by-step explanation:

15 ,27, 31, 40, 44. The median number is the middle number(arranged from least to greatest). In 5 numbers, the middle number is the 3rd number(arranged from least to greatest), therefore; the answer is 31.

Answer:

x³ - 4x² - 25x + 28

Step-by-step explanation:

Step 1: Write out binomial linear factors

(x - 1)(x - 7)(x + 4)

Step 2: Expand

(x²  - 8x + 7)(x + 4)

Step 3: Expand

x³ - 4x² - 25x + 28

You need to give us answer choices.

However, I looked back to previous questions posted on Brainly, and I found one that was similar to yours.

The length of BE could possibly be 27 units.

- I hope this helps. Next time, please use the search feature :)))

Answer:

x² + 13x + 50 + [tex]\frac{57}{x-5}[/tex]

Step-by-step explanation:

Using Synthetic division

divisor is (x - 5) , thus evaluate at h = 5

5 | 1  8  - 25  - 193

        5     65   250

  -----------------------------

    1  13   50     57 ← remainder = 57

The coefficients of the quotient are 1, 13,  50 , that is

x² + 13x + 50

Thus

[tex]\frac{x^3+8x^2-25x-193}{x-5}[/tex] = x² + 13x + 50 + [tex]\frac{57}{x-5}[/tex]

Answer:

The length of the arc is 89 yards

Step-by-step explanation:

Mathematically, to find the length of an arc, we use the formula below;

Length of an arc = Theta/360 * 2 * pi * r

In this case, Theta = 300 and r = 17 yards

Length of the arc = 300/360 * 2 * 22/7 * 17 = 89.047619047583 which is 89 yards to the nearest yard

2 < x < 12,

4 < x < 21,

-1 < x < 9

0 < x < 8

x<6

From above: 4 < x < 6 --> x = 5.

Answer: B.

Answer:

7^15

Step-by-step explanation:

(7^5)^3

We know that a^b^c = a^(b*c)

 (7^5)^3 = 7^(5*3)

              = 7^15

Answer:

87

Step-by-step explanation:

Sequence 1 has common difference of 4 and sequence 2 has 7

The first terms are common

We need a new sequence with common difference of:

So the next common term is 1+28= 29 and the following one is 29+28= 57

Sum of 3 terms:

Answer:

87

Step-by-step explanation:

The first sequence:

1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53, 57, 61...

The second sequence:

1, 8, 15, 22, 29, 36, 43, 50, 57, 63...

The first three common terms are 1, 29, 57.

The sum of the first three common terms:

1 + 29 + 57

= 87

Answer:

The midpoint is (3,8)

Step-by-step explanation:

To find the x coordinate of the midpoint,  add the two coordinates together and divide by 2

( 4+2)/2 = 6/2 = 3

To find the y coordinate of the midpoint,  add the two coordinates together and divide by 2

( 7+9)/2 = 16/2 = 8

The midpoint is (3,8)