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3 years ago

Someone please help.

Mathematics

1 answer:

brilliants [131]3 years ago

8 0

Answer: 3,19 which is larger than the original

Step-by-step explanation: if you consider that the original average is 3 you can say that all 25 students have 3 siblings so the average is 3, if you add another students with 8 siblings and do some math (25*3+8)/26 its 3,19

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<2 and ___ are vertical angles.<br> <2 and ___ or ___ are a linear pair<br><br> help me pls.

Lena [83]

It should be noted that angle 2 and angle 1 are vertical angles and angle 2 and angle 5 are linear pair.

<h3>How to illustrate the information?</h3>

When two lines cross at a point, vertical angles are created. They are always on an equal footing. In other words, four angles are created anytime two lines cross or intersect. It is evident that two opposed angles are equal and are referred to as vertical angles.

When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. These are also referred to as additional angles.

Therefore, it should be noted that angle 2 and angle 1 are vertical angles and angle 2 and angle 5 are linear pair.

Learn more about vertical angle on:

brainly.com/question/14362353

#SPJ1

7 0

1 year ago

An OSU senior is studying for exams in psychology and economics. The student has time to read 50 pages of psychology and 10 page

cestrela7 [59]

Answer:

3 Pages

Step-by-step explanation:

Let the pages of economics read = e
Let the pages of psychology read = p
Let the total time taken on each instance=t

In the first instance, the student has time to read 50 pages of psychology and 10 pages of economics.

t=50p+10e

The student could read 30 pages of psychology and 70 pages of economics.

t=30p+70e

Since the two situations take the same amount of time, we have:

50p+10e=30p+70e

Collect like terms

50p-30p=70e-10e

20p=60e

Divide both sides by 20

p=3e

Therefore, in the time it will take the student to read 1 page of psychology, the student can read 3 pages of economics.

8 0

3 years ago

Blake has to put up a fence around a pet pen which s rectangular. If the width is 23 feet and the perimeter is 114 feet. What is

ziro4ka [17]

P = 2(L + W)
P = 114
W = 23

114 = 2(L + 23)
114 = 2L + 46
114 - 46 = 2L
68 = 2L
68/2 = L
34 = L <=== so the length is 34 ft

7 0

3 years ago

Read 2 more answers

Find an equation of the tangent to the curve at the given point by both eliminating the parameter and without eliminating the pa

konstantin123 [22]

Answer:

$y=2x-8$

Step-by-step explanation:

The given parametric equation is;

$x=6+ln(t),y=t^2+3$

<h3><u>BY ELIMINATING THE PARAMETER</u></h3>

To eliminate the parameter we make $t$ the subject in one equation and put it inside the other.

We make $t$ the subject in $x=6+ln(t)$ because it is easier.

$\Rightarrow x-6=ln(t)$

$\Rightarrow {e}^{x-6}=e^{ln(t)}$

$\Rightarrow {e}^{x-6}=t$

$t={e}^{x-6}$

We now substitute this into $y=t^2+3$ .

This gives us;

$y=(e^{x-6})^2+3$ .

$\Rightarrow y=e^{2(x-6)}+3$ .

We have now eliminated the parameter.

The equation of the tangent at (6,4) is given by;

$y-y_1=m(x-x_1)$

where the gradient function is given by;

$\frac{dy}{dx}=2e^{2(x-6)}$

We substitute $x=6$ into the gradient function to obtain the gradient.

$\Rightarrow m=2e^{2(6-6)}$

$\Rightarrow m=2e^0$

$\Rightarrow m=2$

The equation of the tangent becomes

$y-4=2(x-6)$

We simplify to obtain

$y=2x-12+4$

$y=2x-8$

<h3><u>WITHOUT ELIMINATING THE PARAMETER</u></h3>

The given parametric equation is;

$x=6+ln(t),y=t^2+3$

For $x=6+ln(t)$

$\frac{dx}{dt}=\frac{1}{t}$

For $y=t^2+3$

$\frac{dy}{dt}=2t$

The slope is given by;

$\frac{dy}{dx}=\frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

$\frac{dy}{dx}=\frac{2t }{\frac{1}{t} }$

$\frac{dy}{dx}=2t^2$

At the point, (6,4), we plug in any of the values into the parametric equation and find the corresponding value for $t$ .

Notice that

When $x=6$ , $6=6+\ln(t)$

$6-6=\ln(t)$

$0=\ln(t)$

$e^0=e^\ln(t)$

$1=t$

when $y=4$ , $4=t^2+3$

$4-3=t^2$

$1=t^2$

$t=\pm1$

But the slope is the same when we plug in any of these values for t.

$\frac{dy}{dx}=2(\pm1)^2=2$

The equation of the tangent becomes

$y-4=2(x-6)$

We simplify to obtain

$y=2x-12+4$

$y=2x-8$

7 0

3 years ago

12 batteries cost $17<br><br> Find the unit rate

Vedmedyk [2.9K]

Answer:

Step-by-step explanation:

17/12= 1.4166

Round so it’s 1.42

Unit rate= $1.42 PER battery

8 0

3 years ago

Someone please help.​

Someone please help.