Grandpa Ernie is shrinking! Over the past 4 years, his height decreased by a total of 2.4 cm 2.4. It decreased by the same amount each year.
What was the change in Grandpa Ernie's height each year?

Answer:

the answer is not me

Step-by-step explanation:

Answer:

109

Step-by-step explanation:

A triangle totals to 180 degrees.

1) 64+45= 109

Because its the exterior you don't really need to do extra work but

180-109=71 Aka the side you don't need

180-71=109

Answer:

The third number is 180.

Step-by-step explanation:

Let the third number be 9x where x is an integer.

48 = 2*2*2*2*3

264 = 2*2*2*3*11

9x = 3*3*x

2*2*2*2*3*3*11*x = 7920y where y is an integer

1584x = 7920y

so x = 7920y / 1584= 5y.

Now the GCD is 12  so x must have  4 as one of its factors.

Also x is a multiple of 5 so it could be 20 then y  would be 4.

If x = 20 then the third number is 9*20 = 180.

This checks out OK.

Answer:

the answer would be $2693.12

Step-by-step explanation:

Answer:

23 + 0

Step-by-step explanation:

calculator

Answer:

34 inches

Step-by-step explanation :

54/360 X 20

Answer:

The fraction of the beads that are red is

Step-by-step explanation:

Algebraic Expressions

A bag contains red (r), yellow (y), and blue (b) beads. We are given the following ratios:

r:y = 2:3

y:b = 5:4

We are required to find r:s, where s is the total of beads in the bag, or

s = r + y + b

Thus, we need to calculate:

\(\displaystyle \frac{r}{r+y+b} \qquad\qquad [1]\)

Knowing that:

\(\displaystyle \frac{r}{y}=\frac{2}{3} \qquad\qquad [2]\)

\(\displaystyle \frac{y}{b}=\frac{5}{4}\)

Multiplying the equations above:

\(\displaystyle \frac{r}{y}\frac{y}{b}=\frac{2}{3}\frac{5}{4}\)

Simplifying:

\(\displaystyle \frac{r}{b}=\frac{5}{6} \qquad\qquad [3]\)

Dividing [1] by r:

\(\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+y/r+b/r}\)

Substituting from [2] and [3]:

\(\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+3/2+6/5}\)

Operating:

\(\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{\frac{10+3*5+6*2}{10}}\)

\(\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{10+15+12}\)

\(\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{37}\)

The fraction of the beads that are red is \(\mathbf{\frac{10}{37}}\)

Answer:

-128

Step-by-step explanation:

Given, f(x)=2x

3

−21x

2

+36x−20

∴f

′

(x)=6x

2

−42x+36

When f(x) is a maximum or a minimum, f

′

(x)=0

Hence, 6x

2

−42x+36=0

x

2

−7x+6=0

x

2

−6x−x+6=0

x(x−6)−1(x−6)=0

(x−6)(x−1)=0

x=1,6

Again f

′′

(x)=12x−42

=6(2x−7)

Now, when x=1,f

′′

(x)=−30 ....[negative]

And when x=6,f

′′

(x)=30 ....[positive]

Hence, f(x) is maximum for x=1 and minimum for x=6.

The maximum and minimum values of f(x) are

f(1)=2(1)

3

−21(1)

2

+36(1)−20

=2−21+36−20=−3

f(6)=2(6)

2

−21(6)

2

+36(6)−20

=432−756+216−20=−128

Answer: x= 7191.509 ft

Step-by-step explanation:

Sin9/1 = 1125/x

X/1 = 1125/sin9

Answer:

the answer is 256

Step-by-step explanation:

Using algebraic expressions and equations to solve this problem, there are 15 apartments with 2 rooms and 5 apartments with 3 rooms.

An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "=".

If there are 20 apartments, we can write the equation for the sum of two different kind of apartments.

let x = number of apartments with 2 rooms

y = number of apartments with 3 rooms

x + y = 20     (equation 1)

If there are x apartments with 2 rooms and y apartment with 3 rooms and there are 45 rooms in total, we can express this as the equation:

2x + 3y = 45     (equation 2)

Rewriting equation 1 as an equation of y in terms of x,

x + y = 20     (equation 1)

y = 20 - x

Substitute this expression of y to equation 2, and solve for x.

2x + 3y = 45     (equation 2)

2x + 3(20 - x) = 45

2x + 60 - 3x = 45

-x = 45 - 60

-x = -15

x = 15

Substitute the value of x in either equation 1 or 2 and solve for y.

x + y = 20     (equation 1)

15 + y = 20

y = 20 - 15

y = 5

If x is the number of apartments with 2 rooms and y is the number of apartments with 3 rooms, then there are 15 apartments with 2 rooms and 5 apartments with 3 rooms.

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Answer: Value of n is -6

Step-by-step explanation:

If the function f(x) is translated k units up, then its image is g(x) = f(x) + k

If the function f(x) is translated k units down, then its image is g(x) = f(x) - k

The vertex form of the quadratic function is f(x) = a(x - h)² + k, where a is the coefficient of x² and (h, k) is the vertex

The value of n is 1 when the expression k(x) = x² and p(x) = k(x) + n.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

We can start by substituting the function k(x) into the expression for p(x):

p(x) = k(x) + n

p(x) = x^2 + n

We don't have enough information to determine the value of n, but we can set up an equation using some other given information. If we know that p(2) = 5, we can substitute x = 2 and solve for n:

p(2) = 2² + n = 4 + n = 5

n = 5 - 4

n = 1

Therefore,

The value of n is 1 when the expression k(x) = x² and p(x) = k(x) + n.

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Answer:

Your answer is: D) 27

Step-by-step explanation:

Hope this helped : )

Two integer variables x and y, prompts the user to enter values for them using the Scanner class, and performs addition, subtraction, multiplication, and division operations on those variables:

import java.util.Scanner;

public class VariableOperations {

   public static void main(String[] args) {

       Scanner scanner = new Scanner(System.in);

       System.out.print("Enter the value for x: ");

       int x = scanner.nextInt();

      System.out.print("Enter the value for y: ");

       int y = scanner.nextInt();

       // Addition

       int addition = x + y;

       System.out.println("Addition: " + addition);

       // Subtraction

       int subtraction = x - y;

       System.out.println("Subtraction: " + subtraction);

       // Multiplication

       int multiplication = x * y;

       System.out.println("Multiplication: " + multiplication);

       // Division

       if (y != 0) {

           double division = (double) x / y;

           System.out.println("Division: " + division);

       } else {

           System.out.println("Cannot divide by zero.");

       }

   }

}

This code prompts the user to enter values for x and y, performs the four basic arithmetic operations, and displays the results on the screen.

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Answer:

The equation of parallel line passes through the point (−4,−6 ) is:

y = -6

Please also check the attached graph.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

Given that on a coordinate plane passes through (-8, 4) and (8, 4).

As the value of y remains the same for any value of x.

i.e. y = 4 for any value of x.

Thus, the given line is a horizontal line.

We know that the slope of a horizontal line is zero.

Also it is clear that at x = 0, the value of y = 4. In other words, we can observe that the y-intercept b = 4.

so substitutig m = 0 and b = 4 in the slope-intercept form

y = mx + b

y = 0x + 4

y = 4

Therefore, the equation of line passing through the point  (-8, 4) and (8, 4) is:

y = 4

Now, we also know that the slope of parallel lines is equal.

Thus, the slope of the line parallel to the line y = 4 is also 0.

As the parallel line passes through (−4,−6 ).

so substituting m = 0 and (-4, -6) in the slope-intercept form of line equation to determine the y-intercept b

y = mx + b

(-6) = 0(-4) + b

-6 = 0 + b

switching the sides

0 + b = -6

b = -6

Thus, the slope-intercept b = -6

now substituting m = 0 and b = -6 in the slope-intercept form of line equation

y = mx + b

y = 0(x) + -6

y = 0 - 6

y = -6

Therefore, the equation of parallel line passes through the point (−4,−6 ) is:

y = -6

Please also check the attached graph.

Answer:

1351

Step-by-step explanation:

Answer:

The sine equation is given below as

From the graph, The highest point on the crest is

The lowest point of the trough is

Hence,

The amplitude will be

From the image also, the period T, is

There is no hrizontal shift,

Hence,

The value of C is

The vertical shift D, will be

Hence,

The model of the sine function is given below as

To figure out the depth at t=4hours, we will have substitue x=4 in the equation above

Hence,

The depth of the water at 4 hours is = 5.462m

To figure out the depth at t= 30 hours, we will have to substitute the value of x=30 in the equation above

Hence,

The depth of the water at 30 hours is = 0.835m

Answer:

4 is the answer to the 1st question

Since the sequence is always decreasing and cannot go below the lower bound, it becomes increasingly closer to the lower bound, and thus converges to a limit.

A sequence is said to be decreasing if each term is smaller than the previous one, and bounded below if there exists a lower bound such that no term in the sequence is smaller than this bound. In this case, the sequence is decreasing and bounded below by 0.

When a sequence is both decreasing and bounded below, it must have a limit because the terms cannot continue to decrease indefinitely, as they cannot go below the lower bound (in this case, 0). This means that as we progress through the terms of the sequence, the difference between consecutive terms will decrease and eventually approach a constant value.

The limit of a sequence is a value that the terms of the sequence approach as they get closer and closer to the end. In this situation, the limit is the smallest possible value that the sequence can approach, without going below the lower bound.

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Answer:

Step-by-step explanation:

2y+8x=0

Converting to y-intercept form:

2y = -8x

y = -4x

So, the slope is -4 and the y-intercept is at (0,0).

The expression that gives the amount of snow, in inches, that falls from time t = 0 to time t = 5 hours is option d: 20 - 20e^-0.5.

The rate of snowfall is given by the function r(t) = 2e^-0.1t inches per hour. To find the amount of snow that falls from time t = 0 to time t = 5 hours, we need to integrate the rate function with respect to time over this interval.

Integrating the function r(t) from 0 to 5 gives us ∫(0 to 5) 2e^-0.1t dt. This integration evaluates to 20 - 20e^-0.5.

Option d: 20 - 20e^-0.5 is the correct expression because it represents the amount of snow, in inches, that falls from time t = 0 to time t = 5 hours. The constant term 20 represents the initial amount of snowfall at t = 0, and the exponential term accounts for the decrease in the rate of snowfall over time.

Therefore, the correct expression to calculate the amount of snowfall in this time interval is 20 - 20e^-0.5.

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Answer:

Thats the answer

..........

We can conclude that ABCD is a parallelogram based on the given information and the congruence of corresponding parts of congruent triangles.

To prove that ABCD is a parallelogram, we need to show that both pairs of opposite sides are parallel.

Given the information that segment AD and BC are congruent and segment AD and BC are parallel, we can proceed with the following proof:

Since segment AD and BC are congruent, we can denote their lengths as AD = BC.

Now, let's assume that the lines AD and BC intersect at point E.

By definition, if AD is parallel to BC, then the alternate interior angles are congruent.

Let's label the alternate interior angles as ∠AED and ∠BEC.

Since AD is parallel to BC, we have ∠AED = ∠BEC.

Now, consider the triangle AED. In this triangle, we have:

∠AED + ∠A = 180° (sum of interior angles of a triangle).

Since ∠AED = ∠BEC, we can substitute to get:

∠BEC + ∠A = 180°.

But we also know that ∠A + ∠B = 180° (linear pair of angles).

Substituting this into the equation, we have:

∠BEC + ∠B = ∠BEC + ∠A.

By canceling ∠BEC on both sides, we get:

∠B = ∠A.

This shows that angle ∠A is congruent to angle ∠B.

Since angle ∠A is congruent to angle ∠B, and angle ∠AED is congruent to angle ∠BEC, we can conclude that triangle AED is congruent to triangle BEC by the angle-side-angle (ASA) postulate.

As a result, the corresponding sides of the congruent triangles are also congruent.

We have AE = BE (corresponding sides of congruent triangles) and AD = BC (given).

Now, considering the quadrilateral ABCD, we have two pairs of opposite sides that are congruent:

AD = BC and AE = BE.

Hence, we have shown that both pairs of opposite sides in ABCD are congruent, which is one of the properties of a parallelogram.

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hi there!

\( \large \rm = \color{brown} 27.6272 \: \\ \tt in \: \: alternate \: \: form \\ \\ \large \tt \color{cyan} \frac{17267}{625} , \color{red}27 \frac{392}{625} \)

Step-by-step explanation:

\( \tt1.13 + 2.84 \times 9.33\)

multiply the number

\( \tt \color{green}1.13 + 26.4972\)

add the number

\( = \tt \color{green}27.6272 \\ \\ \tt \color{pink}or \: \: in \: \: alternate \: \: form \\ \\ \tt \color{purple} \frac{17267}{625} \tt \color{blue} \: , \: 27 \frac{392}{625} \)

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Answer:

- [52 - [36 - 58 (24 x 82) x 36] + (-42)] = ​−4109158

The histogram first represents the smallest variance option first is correct.

It is defined as the depiction of numerical data in a graph using a bar with no space. The histogram depicts the approximate distribution of the data.

We have four histograms shown in the picture.

As we know in a histogram, the curves that resemble hills show groupings of statistics that are close collectively, leading to low variation.

Whenever the taller bars are farther away from the mean in a histogram, the variability is greater, and when the taller bars are closer to the mean, the variability is less.

In the histogram first, there is very less variability.

Thus, the histogram first represents the smallest variance option first is correct.

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Step-by-step explanation:

point dene ke liye sukriya tumhara dost

Answer:

\(\displaystyle f(x) = \ln\left( 1 + x^2\right)\)

Step-by-step explanation:

We are given that:

\(\displaystyle e^{f(x)} = 1 + x^2\)

And we want to find f(x).

We can take the natural log of both sides:

\(\displaystyle \ln\left(e^{f(x)}\right) = \ln\left( 1 + x^2\right)\)

Recall that ln(aᵇ) = bln(a). Hence:

\(\displaystyle f(x) \ln(e) = \ln\left ( 1 + x^2\right)\)

By definition ln(e) = 1. Therefore:

\(\displaystyle f(x) = \ln\left( 1 + x^2\right)\)

Answer:

The answer is 245 tickets.

Step-by-step explanation:

Multiply 49 times 4 = 196

When you get your answer add 49

Then you'll get the total

Answer: 245 tickets

Answer:

gdgdgdgdgddggddggdgddggd

Step-by-step explanation: