Hey there .. Plz help me solve this .

Use the following number line to determine if the expressions are true or false.

Usimov [2.4K]

True cus from point a and b is very low so true slime

6 0

3 years ago

Find the Length of ST

vfiekz [6]

Step-by-step explanation:

Consider Similarity and enlargement

To get the enlargement factor,

Take the ratio result of any two similar sides. i.e

PQ/AB = 3.6/2 = 1.8

The enlargement factor is 1.8

To get ST, consider ED then multiply it by the enlargement factor. i.e

= 5 x 1.8

= 9

7 0

3 years ago

If there are 420 students surveyed, which equation can be used to find the number of students s who prefer rap? Pop: 5/8 Jazz: 1

Aleksandr [31]

Answer:

B. $s=\dfrac{1}{4}\times420$

Step-by-step explanation:

Total number of students surveyed = 420

Of which only $\dfrac{1}{4}$ prefer rap.

So, the number of people who like rap is the product of the fraction of people who prefer rap and the total number of students.

$\text{Number of students who prefer rap}=s=\dfrac{1}{4}\times420\\\Rightarrow s=105$

The number of students that prefer rap is 105

So the equation is $s=\dfrac{1}{4}\times420$ .

3 0

3 years ago

Which of the following best explains why one graph appears skewed and one graph appears symmetric? the intervals on the x-axis o

LenKa [72]

The reason for one graph appears skewed, and one graph appears symmetric is the interval on the x-axis of the histogram is inconsistent.

<h3>What is histogram?</h3>

A histogram is the way of representation of data which is used to show the frequency distribution using the rectangle similar to a bar graph.

In the problem, the data given as,

In the attached image below, the histogram and box plot is shown for the ages of Elizabeth's Grandchildren and their frequency.
In the 3rd and 4the bar of histogram, the data is jumped from 14 to 20 instead of 15.
The frequency distribution in histogram for this data is inconsistent.
This inconsistency brought the between the two graphs.

Thus, the reason of one graph appears skewed, and one graph appears symmetric is the interval on the x-axis of the histogram is inconsistent.

Learn more about the histogram here;

brainly.com/question/2962546

5 0

2 years ago

Solve y'' + 10y' + 25y = 0, y(0) = -2, y'(0) = 11 y(t) = Preview

svetlana [45]

Answer: The required solution is

$y=(-2+t)e^{-5t}.$

Step-by-step explanation: We are given to solve the following differential equation :

$y^{\prime\prime}+10y^\prime+25y=0,~~~~~~~y(0)=-2,~~y^\prime(0)=11~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Let us consider that

$y=e^{mt}$ be an auxiliary solution of equation (i).

Then, we have

$y^prime=me^{mt},~~~~~y^{\prime\prime}=m^2e^{mt}.$

Substituting these values in equation (i), we get

$m^2e^{mt}+10me^{mt}+25e^{mt}=0\\\\\Rightarrow (m^2+10y+25)e^{mt}=0\\\\\Rightarrow m^2+10m+25=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }e^{mt}\neq0]\\\\\Rightarrow m^2+2\times m\times5+5^2=0\\\\\Rightarrow (m+5)^2=0\\\\\Rightarrow m=-5,-5.$

So, the general solution of the given equation is

$y(t)=(A+Bt)e^{-5t}.$

Differentiating with respect to t, we get

$y^\prime(t)=-5e^{-5t}(A+Bt)+Be^{-5t}.$

According to the given conditions, we have

$y(0)=-2\\\\\Rightarrow A=-2$

and

$y^\prime(0)=11\\\\\Rightarrow -5(A+B\times0)+B=11\\\\\Rightarrow -5A+B=11\\\\\Rightarrow (-5)\times(-2)+B=11\\\\\Rightarrow 10+B=11\\\\\Rightarrow B=11-10\\\\\Rightarrow B=1.$

Thus, the required solution is

$y(t)=(-2+1\times t)e^{-5t}\\\\\Rightarrow y(t)=(-2+t)e^{-5t}.$

6 0

3 years ago

Hey there .. Plz help me solve this . ​

Hey there .. Plz help me solve this .