I don’t know what to do here

Maggie is 30 years old, and Bobby is 15 years old if in 3 years, Maggie's age will be 50% greater than Bobby's age and years ago when Maggie was 25 years old, Bobby was 10 years old.

Maggie is 15 years older than Bobby. We have to determine Bobby's age.

Let's suppose that Bobby's age is x, so Maggie's age would be x + 15 years.

1) In 3 years, Maggie's age will be 50% greater than Bobby's age.

The age of Maggie in 3 years would be (x + 15) + 3, and the age of Bobby would be x + 3.

According to the problem, Maggie's age in 3 years would be 50% greater than Bobby's age in 3 years.

So, (x + 15) + 3 = (1.5)(x + 3)

Simplifying the above equation, we get

x + 18 = 1.5x + 4

Now, we will solve for

x.x - 1.5x = -14-0.5x = -14x = 28

Therefore, Bobby is 28 years old now.

2) Years ago, when Maggie was 25 years old, Bobby was 10 years old.

Let's assume that x years ago Maggie was 25 years old. Thus, Bobby was 10 years old at that time.

So, x + 25 = (x + 10) + 15x = 15

Therefore, Maggie is 30 years old now. And Bobby is 15 years old now.

To learn more about linear equation:

https://brainly.com/question/28732353

#SPJ11

The correct option is D. Behavioral economics studies the influence of cognitive biases and irrational decision-making on consumer behavior.

Behavioral economics combines insights from psychology and economics to understand how individuals make choices that deviate from the assumptions of classical economics. It recognizes that human behavior is often influenced by emotions, cognitive biases, and heuristics.

leading to deviations from rational decision-making. Behavioral economists study these behavioral patterns to develop more realistic models and theories that better capture the complexities of decision-making in real-world situations.

By incorporating psychological factors into economic analysis, behavioral economics provides a broader understanding of human behavior and its implications for economic outcomes.

To know more about complexities visit -

brainly.com/question/30021602

#SPJ11

The probability density function for a normal distribution N(68, 5) reaches its maximum height at x = 68, which is the mean of the distribution. The function does not touch the x-axis at μ±30.

The probability density function (PDF) for a normal distribution is bell-shaped and symmetrical around its mean. In this case, the mean (μ) is 68, and the standard deviation (σ) is 5.

(a) To find the x value at which the PDF reaches a maximum, we look at the mean of the distribution, which is 68. The PDF is highest at the mean, and as we move away from the mean in either direction, the height of the PDF decreases. Therefore, the x value at which f(x) reaches a maximum is x = 68.

(b) The PDF of a normal distribution does not touch the x-axis at μ±30. The x-axis represents the values of x, and the PDF represents the likelihood of those values occurring. In a normal distribution, the PDF is continuous and never touches the x-axis. However, the PDF becomes close to zero as the values move further away from the mean. Therefore, the probability of obtaining values μ±30, which are 38 and 98 in this case, is very low but not zero. So, the PDF does not touch the x-axis at μ±30, but the probability of obtaining values in that range is extremely small.

Learn more about probability density function here: https://brainly.com/question/31039386

#SPJ11

Answer:

144 in cubed

Step-by-step explanation:

you do 8 * 9 * 2 to find area and then by doing that you get 144

Answer:

2^2 ( 1,2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12)  =  4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44,48

3^2(1,2,3, 5)   =  9, 18, 27, 45

5^2(1, 2)  = 25, 50

7^2  = 49

19  numbers

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

Answer:

39°

Step-by-step explanation:

102 + 39 = 141

180 - 141 = 39

Answer:

298

Step-by-step explanation:

Answer:

FH, GF, GH

hmmmmmmmmmmm

Answer:

8640in²

Step-by-step explanation:

A = I * W * H

A= 27*16*20

A=8640in²

Answer:

39.96 should be the right answer

Answer: 39.96

Step-by-step explanation:

36+1.80=37.80

Then you add 2.16

37.80+2.16=39.96

The equation of a circle having endpoints of diameter as (4,9) and (4,-3) is (x - 4)² + (y - 3)² = 36.

The "center" of circle is called as midpoint of diameter.

The "x-coordinate" of "mid-point" is = (4+4)/2 = 4, and

The "y-coordinate" of "mid-point" is = (9+(-3))/2 = 3.

So, center of circle is (4,3),

The radius of circle is half the length of the diameter, which is distance between two endpoints of diameter. We find distance using distance formula:

⇒ distance = √((x₂ - x₁)² + (y₂ - y₁)²), where (x₁,y₁) and (x₂,y₂) are "end-points" of diameter.

⇒ distance = √((4 - 4)² + (9 - (-3))²)

⇒ √(144) = 12.

So, radius is 6.

The equation of circle with center (h,k) and radius "r" is : ⇒ (x - h)² + (y - k)² = r²,

Substituting the values

We get,

⇒ (x - 4)² + (y - 3)² = 6²,

⇒ (x - 4)² + (y - 3)² = 36,

Therefore, the equation of the circle is (x - 4)² + (y - 3)² = 36.

Learn more about Circle here

https://brainly.com/question/29104982

#SPJ4

Answer:

Step-by-step explanation:

390

Answer:

\(\frac{x+2}{3x-4}\)

Step-by-step explanation:

\(\frac{4x^2+8x}{12x^2-16x}\) ← factor out 4x from each term on numerator / denominator

= \(\frac{4x(x+2)}{4x(3x-4)}\) ← cancel 4x on numerator/ denominator

= \(\frac{x+2}{3x-4}\) ← in simplest form

Answer:

\(\boxed{\sf \dfrac{x+ 2}{3x-4}}\)

Explanation:

\(\rightarrow \sf \dfrac{4x^2+ 8x}{12x^2-16x}\)

Factor out common term '4x'

\(\rightarrow \sf \dfrac{4x(x+ 2)}{4x(3x-4)}\)

Cancel out the common term '4x'

\(\rightarrow \sf \dfrac{x+ 2}{3x-4}\)

The expression has been fully simplified.

official approval given by an organisation when something / somebody achieves a certain standard

hope it helps you ✌

The slope of an equation passing through the points (x₁, y₁) and (x₂, y₂) is:

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

a) The slope of the line passing through (-2, 5) and (4, 0) is -5/6.

b) The slope of the line passing through (0, 3) and (-2, 4) is -1/2.

c) The slope of the line passing through (-3, 4) and (-5, 6) is -1.

d) The slope of the line passing through (5, 5) and (3, 1) is 2.

e) The slope of the line passing through (-2, -1) and (-3, 1) is -2.

f) The slope of the line passing through (-4, -3) and (4, 1) is 1/2.

g) The slope of the line passing through (2, -1) and (2, 5) is undefined.

h) The slope of the line passing through (0, 2) and (1, 7) is 5.

i) The slope of the line passing through (3, 3) and (-3, 0) is 1/2.

j) The slope of the line passing through (0, 0) and (3, 3) is 1.

k) The slope of the line passing through (-4, 2) and (4,2) is 0.

l) The slope of the line passing through (-3, 5) and (-2,0) is -5.

m) The slope of the line passing through (2, 2) and (-3,-3) is 1.

n) The slope of the line passing through (-8, 10) and (-5, 6) is -4/3.

Learn more about slopes:

brainly.com/question/3493733

Therefore, the relative accuracy of features plotted on the map is 500 meters.

To calculate the relative accuracy of features plotted on the map in meters, we need to convert the given accuracy from millimeters to meters.

Given:

Relative accuracy = 90%

Accuracy within 5 mm

To convert millimeters to meters, we divide by 1000:

5 mm = 5/1000 = 0.005 meters

Relative accuracy can be defined as the ratio of the actual accuracy to the map scale. In this case, the map scale is given as 1:100,000, which means that one unit on the map represents 100,000 units in reality.

To calculate the relative accuracy in meters, we multiply the actual accuracy (0.005 meters) by the map scale (100,000):

Relative accuracy = 0.005 meters * 100,000 = 500 meters

To know more about relative accuracy,

https://brainly.com/question/32502032

#SPJ11

Answer:

8 more than x means x plus 8 so basically 8 plus -14 if I'm not mistaken hope this helps!

Answer:

y=8+x

x= -14

y=8-14=-6

hope it is right answer for it!!

Answer:

The graph is below.

The area of the pre-images is 8 and the area of the image is 2.  The difference is 6 \(units^{2}\)

Step-by-step explanation:

Area of the large triangle

a = \(\frac{bxh}{2}\)  I am going to choose the vertical line to be the base because I can count the base to be 4 and the height straight up from the base to be 4.

a = \(\frac{4x4}{2}\) = 8

I found the base for the image in the same way

a = \(\frac{2x2}{2}\) 2

Helping in the name of Jesus.

Answer:

I guess that X measures 50° because X and 50 are vertically opposite angles...

Value of mean is, 40.2

Value of median is, 45

Value of mode is, 28

Value of range is, 25

Given that;

Data set is,

⇒ 28, 45, 53, 28, 47

Now, We can arrange into ascending order as;

⇒ 28, 28, 45, 47, 53

Hence, Value of mean is,

⇒ (28 + 28 + 45 + 47 + 53) / 5

⇒ 40.2

And, The value of median is,

⇒ (5 + 1) / 2

⇒ 6/2

⇒ 3rd term

⇒ 45

The value of mode =28

And, The value of range is,

⇒ 53 - 28

⇒ 25

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ1

Personal car would be the best option to manage both tasks efficiently. While the train is a reliable mode of transportation, it may have fixed schedules that might not align perfectly with Patrick's needs.

On the other hand, using his personal car provides more flexibility and allows him to tailor the departure time according to his daughter's coding class schedule.

If Patrick decides to take the train, he would need to check the train schedule to see if there are convenient departure and arrival times for both the soccer game and the coding class. This option would require planning and coordination to ensure he arrives at the game on time and can pick up his daughter afterward.

Using his personal car gives Patrick the freedom to leave at a time that accommodates both the soccer game and the coding class. He can drop off his daughter at her coding class, attend the soccer game, and then pick her up afterward without being restricted by train schedules.

Considering the circumstances, Patrick might find it more convenient to use his personal car to manage both tasks effectively and ensure he can attend his son's soccer game while also ensuring his daughter arrives at her coding class on time.

To learn more about transportation

https://brainly.com/question/32750280

#SPJ11

Answer:

73/4

Step-by-step explanation:

20 + 7×(5-3) / (8-6)-4

= 20 + 7×(2) / (2)-4

= 20 + 14 / -8

= 73/4

Answer:

-17

Step-by-step explanation:

Use PEMDAS to simplify. PEMDAS stands for

Simplify:

\(\sf{\dfrac{20+7\times(5-3)}{(8-6)-4}}\)

\(\sf{\dfrac{20+7\times2}{2-4}}\)

\(\sf{\dfrac{20+14}{-2}}\)

\(\sf{\dfrac{34}{-2}}\)

\(\sf{-17}\)

Hence, the answer is -17

Ligand-gated ion channels differ from G-protein coupled receptors in their mode of action and structural changes. Ligands only bind to G-protein coupled receptors, whereas both ligands and ions can bind to ligand-gated ion channels.

Additionally, a ligand-gated ion channel does not change its shape upon ligand binding, while a G-protein coupled receptor undergoes conformational changes. Ligand-gated ion channels, also known as ionotropic receptors, are transmembrane proteins that directly regulate ion flow across the cell membrane. They consist of a pore-forming subunit that contains the ion channel, and when a ligand, such as a neurotransmitter, binds to the receptor, the ion channel opens or closes, allowing ions to pass through. The binding of the ligand to the receptor does not induce any significant conformational changes in the receptor protein itself.

On the other hand, G-protein coupled receptors (GPCRs) are a large family of cell surface receptors that interact with G-proteins upon ligand binding. When a ligand binds to a GPCR, it induces a conformational change in the receptor, which activates an associated G-protein. The activated G-protein then triggers intracellular signaling cascades by interacting with various effector proteins.

In summary, ligand-gated ion channels and G-protein coupled receptors have distinct mechanisms of action. Ligand-gated ion channels allow ions to flow directly through the channel upon ligand binding, without inducing significant changes in the receptor's structure. In contrast, G-protein coupled receptors undergo conformational changes upon ligand binding, leading to downstream signaling events mediated by G-proteins.

To learn more about Ligand-gated refer:

https://brainly.com/question/14960781

#SPJ11

The angle x in the diagram is 98 degrees.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angle, alternate exterior angles, vertically opposite angles, same side interior angles etc.

Therefore, let's find the angle of x using the angle relationships as follows:

The size of the angle x can be found as follows:

82 + x = 180(same side interior angles)

Same side interior angles are supplementary.

Hence,

82 + x = 180

x = 180 - 82

x = 98 degrees

learn more on angles here: brainly.com/question/24195209

#SPJ1

Answer:

  (x, y) = (1, 8)

Step-by-step explanation:

Maybe your equations are ...

Equating the values of y, we have ...

  2x +6 = -3x +11

  5x = 5 . . . . . . . . . . add 3x-6

  x = 1 . . . . . . . . . . . divide by 5

  y = 2(1) +6 = 8

The solution is (x, y) = (1, 8).

The conditional jump statements a) Does not cause a jump to dest. b) Causes a jump to dest. c) Causes a jump to dest. d) Does not cause a jump to dest. e) Causes a jump to dest. f) Does not cause a jump to dest. g) Does not cause a jump to dest. h) Causes a jump to dest.

The conditional jump statements:

(a) cmp eax, value jl dest does not cause a jump to dest. The value of EAX is 0000004F, and the value of value is FF FF FF 38. Since 4F is greater than 38, the jump will not be taken.

(b) cmp eax, value jb dest causes a jump to dest. The value of EAX is 0000004F, and the value of value is FF FF FF 38. Since 4F is less than 38, the jump will be taken.

(c) cmp eax, 04fh je dest causes a jump to dest. The value of EAX is 0000004F, which is equal to 4F. Since 4F is equal to 4F, the jump will be taken.

(d) cmp eax, 79 jne dest does not cause a jump to dest. The value of EAX is 0000004F, which is not equal to 79. Since 4F is not equal to 79, the jump will not be taken.

(e) cmp value, 0 jbe dest causes a jump to dest. The value of value is FF FF FF 38, which is greater than or equal to 0. Since FF FF FF 38 is greater than or equal to 0, the jump will be taken.

(f) cmp value, −200 jge dest does not cause a jump to dest. The value of value is FF FF FF 38, which is not greater than or equal to −200. Since FF FF FF 38 is less than −200, the jump will not be taken.

(g) add eax, 200 js dest does not cause a jump to dest. The value of EAX is 0000004F, and adding 200 to it will not cause the carry flag to be set. Since the carry flag will not be set, the jump will not be taken.

(h) add value, 200 jz dest causes a jump to dest. The value of value is FF FF FF 38, and adding 200 to it will cause the zero flag to be set. Since the zero flag will be set, the jump will be taken.

To learn more about conditional here:

https://brainly.com/question/31960675

#SPJ4

Answer:

£2.50+5b>21

Step-by-step explanation:

this is because a bag is b and they cost £5 so therefore it's 5b then they have to be under 21 pounds so you use the less than symbol.

Answer:

They're the same length on the line.

Step-by-step explanation:

They are both 90 degrees but in different directions

The answer for the differential equation is:

f(theta) = -sin(theta) - cos(theta) + 4*theta + 2

To solve for f(theta), we need to integrate twice since f''(theta) is given.

First, we integrate f''(theta) with respect to theta to get:

f'(theta) = -cos(theta) + sin(theta) + C₁

where C₁ is an arbitrary constant of integration.

Next, we integrate f'(theta) with respect to theta to get:

f(theta) = -sin(theta) - cos(theta) + C₁*theta + C₂

where C₂ is another arbitrary constant of integration.

To solve for C₁ and C₂, we use the initial conditions given:

f(0) = 2 => C₂ = 2

f'(0) = 2 => C₁ = 4

Therefore, the solution to the differential equation is:

f(theta) = -sin(theta) - cos(theta) + 4*theta + 2

Learn more about function on:

https://brainly.com/question/10439235

#SPJ11