f(x) = 4^ x / 8

can you Graph this ?

Answer:

m = 56

Step-by-step explanation:

The same way you would solve an equation.

m/-14 < -4

multiply both sides by -1

-1(- m/14) < -1 (-4)

since you are multiplying by a negative number, invert the inequality sign

m/14 > 4

multiply both sides by 14

m = 4 * 14

m = 56

Answer:

ill help you what is it

Step-by-step explanation:

The radius r that produces the minimum surface area is 1.06 cm and the height h is 1.41 cm.

Let r be the radius of the cylinder and h be the height. You can find the equation for the volume of a solid by adding the volumes of the two hemispheres and the cylinder.

Volume = \((2/3)πr^3 + πr^2h\) = 10 cubic centimeters

Now let's find the values ​​of r and h that minimize the surface area of ​​the solid. This area consists of three parts:

Curved surfaces of two hemispheres and sides of a cylinder. This can be expressed as:

surface area = \(2πr^2 + 2πrh\)

To find the values ​​of r and h that minimize this expression, we can use the Lagrangian multiplier method. Given that the volume of the solid is 10 cubic centimeters, we want to minimize the surface area. So it looks like this:

\(f(r, h) = 2πr^2 + 2πrh + λ[(2/3)πr^3 + πr^2h - 10]\)

Taking the partial derivatives for r, h, and λ and setting them to zero gives

\(4πr + 2πh = 2πr^2λ + (4/3)πr^3λ\)

\(2πr = πr^2λ + πrhλ\)

Solving these equations simultaneously gives:

h = 4r/3

λ = 2/(3r)

Substituting these values ​​into the volume equation gives:

\(r^2h = 5/3\)

Substituting h = 4r/3 from above, we get:

\(r^3 = 15/8pi\)

Taking the cube root of both sides gives:

r=1.06cm

Substituting this value for r into the formula for h yields:

h=1.41cm

Therefore, the radius r that produces the minimum surface area is about 1.06 cm and the height h is about 1.41 cm.

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The equation for the tangent line at p is y = x - 2.

Given that the equation for the curve is y = x^2 - 5x + 7.

Find the tangent line at the point where x = 3.

To find the equation of a tangent line at a point, you need to find the derivative of the curve, which is slope of the tangent line, and then find the y-intercept of the tangent line using the point slope formula.

Step-by-step solution:

(a) Find the slope of the tangent line at x = 3.

The slope of the tangent line is the derivative of the curve at that point.

\begin{aligned}y

&= x^2 - 5x + 7 \\\frac{dy}{dx}

&= 2x - 5 \\\frac{dy}{dx} (3) &= 2(3) - 5 \\

&= 1\end{aligned}

Therefore, the slope of the tangent line at x = 3 is 1.

(b) Find the equation of the tangent line at x = 3.

We can use the point slope formula to find the equation of the tangent line using the point (3, 1) and slope 1.y - y_1 = m(x - x_1)y - 1 = 1(x - 3)y - 1 = x - 3y = x - 2

Therefore, the equation for the tangent line at p is y = x - 2.

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Answer:

For one year the fee would be,

C = $120 + $5l

If my answer helped, kindly mark me as the brainliest!!

Thanks!!

Answer:

5

Step-by-step explanation:

ME!!! I have to because of volleyball and track practicing

Answer:

4/6

Step-by-step explanation:

change 1/2 to 3/6 because of the common denominator and add 1/6 + 3/6

Answer:

25 hours, charge = 800

Step-by-step explanation:

300 + 20x = 500 + 12x

8x = 200

x = 25

300 + 20(25)

300 + 500 = 800

500 + 12(25)

500 + 300 = 800

Answer:

2 (p - 4 z - 30)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The terms are the constants or products that are being added together. Here, there are 3 of them:

  -60, 2p, -8z

The coefficients are the multipliers in each of the terms:

  -60, 2, -8

__

Comment on the constant

Some authors (and answer keys) do not consider the constant term (-60) to be a coefficient. Others insist that it is a coefficient. Please be aware of the convention used in your curriculum materials, and the fact that others may disagree.

Answer:

8.6

Step-by-step explanation:

There are 24 different ways to arrange the cards in the boxes.

How to arrange the card in the box?

Because there are four boxes and four cards, there are four ways to arrange the first card, three ways to arrange the second card (because one box is already occupied), two ways to arrange the third card, and one method to arrange the fourth card. As a result, the total number of possible ways to arrange the cards in the boxes is:

4 x 3 x 2 x 1 = 24

So there are 24 different ways to arrange the cards in the boxes.

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Answer: Answer in detail below

Step-by-step explanation:

1. Write an inequality to represent the situation below:

Let "x" be the number of tickets Desiree can buy.

The amount she spends on tickets is equal to the total amount she has minus the amount she spends on food:

Total amount - Amount spent on food = Amount spent on tickets

Therefore, the inequality to represent this situation is:

1.75x ≤ 35 - 15

2. Define your variable in words:

"x" represents the number of tickets Desiree can buy.

3. Solve the inequality:

1.75x ≤ 20

x ≤ 20 ÷ 1.75

x ≤ 11.43 (rounded to the nearest whole number because you cannot buy a fraction of a ticket)

4. Describe what the solution means in the context of the problem:

The solution x ≤ 11 means that Desiree can buy a maximum of 11 tickets for rides with the money she has left after spending $15 on food. If she buys more than 11 tickets, she will not have enough money to pay for them.

Answer:

Hope I explain it well!

Step-by-step explanation:

k + a/6 = 3k

well, I am not sure if we need to find the a, or the k, so lets find both!

--

First the a:

k + a/6 = 3k (subtract k)

a/6 = 2k (Multiply by 6)

a = 12k

--

Last, the k:

k + a/6 = 3k (Subtract k)

a/6 = 2k (Divide by 2)

a/12 = k

--

There you go, I hope you figure it out <3

(x, y) is an element of the set c × d, since x is an element of c and y is an element of d.

Since (x, y) was an arbitrary element in a × b, we can conclude that every element in a × b is also in c × d. Thus, we have shown that if a ⊆ c and b ⊆ d, then a × b ⊆ c × d.

To show that if a ⊆ c and b ⊆ d, then a × b ⊆ c × d, follow these steps:

Step 1: Understand the notation.
a ⊆ c means that every element in set a is also in set c.
b ⊆ d means that every element in set b is also in set d.

Step 2: Consider the Cartesian products.
a × b is the set of all ordered pairs (x, y) where x ∈ a and y ∈ b.
c × d is the set of all ordered pairs (x, y) where x ∈ c and y ∈ d.

Step 3: Show that a × b ⊆ c × d.
To prove this, we need to show that any ordered pair (x, y) in a × b is also in c × d.

Let (x, y) be an arbitrary ordered pair in a × b. This means that x ∈ a and y ∈ b.

Since a ⊆ c, we know that x ∈ c because every element in set a is also in set c.
Similarly, since b ⊆ d, we know that y ∈ d because every element in set b is also in set d.

Now, we have x ∈ c and y ∈ d, so the ordered pair (x, y) belongs to c × d.

Step 4: Conclusion
Since any arbitrary ordered pair (x, y) in a × b also belongs to c × d, we can conclude that a × b ⊆ c × d.

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The expected value of the game is then: E(X) = $10(0.4018) + (-$1)(0.5982) = -$0.1816

Let X be the random variable representing the winnings in the game. Then X can take on two possible values: $10 or $-1. Let p be the probability of winning $10, and q be the probability of losing $1.

To find p, we need to calculate the probability of getting at least one five in a 5-card hand. The probability of not getting a five on a single draw is 47/52, so the probability of not getting a five in the 5-card hand is \((47/52)^5\). Therefore, the probability of getting at least one five is 1 - \((47/52)^5\) ≈ 0.4018. So, p = 0.4018 and q = 1 - 0.4018 = 0.5982.

The expected value of the game is then:

E(X) = $10(0.4018) + (-$1)(0.5982) = -$0.1816

This means that, on average, you can expect to lose about 18 cents per game if you play many times.

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The cross product of (-5) × (ü + 2) is (15, 5, 20).

To find the cross product of (-5) × (ü + 2), we first need to determine the components of ü + 2.

Given that the cross product u x = (-3, -1, -4), and scaling it by -5, we have:

(-5) × (ü + 2) = (-5)(-3, -1, -4) = (15, 5, 20)

Therefore, the cross product of (-5) × (ü + 2) is (15, 5, 20).

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Answer:

Step-by-step explanation:

If the sector  wasn't there, the area would be that of a circle. The formula for a circle = pi * r^2

But the sector is there and so you have to account for it.

Area sector = (60/360) * pi * 11^2

Area sector = 1/6 * pi * 121

1/6 of 121 = 20.17

Area of sector = 20.17 pi square cm

Answer:

B

Step-by-step explanation:

toookt the test dude

Answer:

choice 1) 312 cm²

Step-by-step explanation:

area = (16 x 12) + (10 x 12) = 312 cm²

Answer:

312

Step-by-step explanation:

triangle：

10x12/2=60

two triangle：

60x2=120

rectangle：

16x12=192

add up：

120+192=312

Answer:

D. The magnitude is StartRoot 113 EndRoot, and the direction angle is approximately 41°.

Step-by-step explanation:

The correct description of the vector is that the magnitude is √(113) and therefore the direction angle is 41°.

The magnitude of the vector is the length of the vector which can be calculated from the coordinate of its endpoint.

Let (x1,y1) and (x2,y2) are the coordinate of the two endpoints of a vector V.

The magnitude of the vector= |V|= √(y2-y1)²+(x2-x1)²

We have,

Origin of vector = (0,0)

And,

Terminal point = (8, 7)

Here,

a = 8 and  b = 7

Now,

To find the magnitude of the vector, we are going to use;

Formula, |v| = √(a² + b² )

|v| = √(8² + 7² )

|v| = √(64 + 49)

|v| = √113

So, the magnitude of the vector is √113.

Now,

Direction angle is find out using ;

Θ = tan ⁻¹ (b / a)

So, Here,

Θ = Angle Direction

Now,

Θ = tan ⁻¹ (7 / 8)

Θ = 41°

Therefore, the proper description of the vector is that the magnitude is √(113) and also the direction angle is 41°.

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The end behavior of the function f(x) is: continues downward to the left and upward to the right.

Consider the function,

f(x) = (x + 1)(x - 2)(x + 3)

The zeros are when f(x) = 0

f(x) = 0

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

Therefore,

(x + 1) = 0

So, x = -1

(x - 2) = 0

So, x = 2

(x + 3) = 0

So, x = -3

Therefore, the zeros are at x = - 1, x = 2 and x = - 3

To expand the function, we multiply the brackets:

f(x) = (x + 1)(x - 2)(x + 3)

f(x) = ( x + 1 )( x² + x - 6 )

f(x) = x³ + 2x² - 5x - 6

As the leading coefficient (the coefficient of x³) is positive, the end behavior of the function is:

f(x ) → + ∞, as x → + ∞

f(x ) → - ∞, as x → - ∞

Therefore, the end behavior is "continues downward to the left and upward to the right".

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The area of the given triangle in the diagram is 11.83\(cm^{2}\)

Given triangle ABC. Let AB=x, BC=y, CA=z

We use Heron's formula when asked to find the area of a triangle and the measures of the sides are given only. According to Heron's formula,

Area of a triangle\(=\sqrt{s(s-x)(s-y)(s-z)}\)   where s is the semi-perimeter of the triangle given by \(s=\frac{x+y+z}{2}\) and x,y,z are the measures of the three sides of the triangle

According to the diagram of the triangle AB=x=8 cm, BC=y=3 cm,

CA= z= 9 cm

∴Semi-perimeter  \(s=\frac{8+3+9}{2}=10 cm\)

∴Area of the triangle\(=\sqrt{10(10-8)(10-3)(10-9)}=\sqrt{10*2*7*1}=2\sqrt{35}=11.83 cm^{2}\)

Therefore the area of the triangle ABC is 11.83\(cm^{2}\)

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By using the formulae of VAT Percentage we have required VAT percentage as 10%.

Given is S.P=Rs 450 (Selling Price)

            S.P+VAT =Rs 495 (Selling Price+ Value added Tax)

Now we have to find Amount of VAT that is how much value added tax is imposed in the selling price.

To find out Amount of VAT we have to take Selling Price (S.P) and subtract it from Selling Price with VAT.

Amount of VAT = (S.P + VAT )- S.P

                           = Rs 495 - Rs 450

                           = Rs 45

VAT Percent = Amount of VAT /Selling Price x 100

Percentage of VAT = \(\frac{45}{450} .100\)

                                = 10 %

So VAT percentage is 10%.

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Answer:

h = -4

Step-by-step explanation:

7h-5(3h-8) = 72

Distribute

7h - 15h +40 = 72

Combine like terms

-8h +40 = 72

Subtract 40 from each side

-8h+40-40 = 72-40

-8h = 32

Divide each side by -8

-8h/-8 = -32/-8

h = -4

Steps:

Step 1: Simplify both sides of the equation.

7h−5(3h−8)=72

7h+(−5)(3h)+(−5)(−8)=72(Distribute)

7h+−15h+40=72

(7h+−15h)+(40)=72(Combine Like Terms)

−8h+40=72 −8h+40=72

Step 2: Subtract 40 from both sides.

−8h+40−40=72−40

−8h=32

Step 3: Divide both sides by -8

Answer:  h=−4

The answer for this question is h=-4

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