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3 years ago

9

the number of students in the four sixth-grade classs at northside school are 26, 19,34 and 21. Use properties to find the total

numbr of students in the four classes.

1 answer:

Aleks04 [339]3 years ago

4 0

In this case all you do is add all the numbers, answer is 100

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Use the given transformation to evaluate the integral. (10x + 10y) da r , where r is the parallelogram with vertices (−3, 12), (

Sever21 [200]

.......,,.............".............

5 0

3 years ago

Solve for : x<br> 6x+34+ 8x+14<br> my last one please helpp

mr_godi [17]

Answer:

x = 10

Step-by-step explanation:

8x + 14 = 6x + 34 (vertically opposite angles are equal)

Rearrange

2x = 20

x = 10

3 0

2 years ago

Read 2 more answers

If a,b,c and d are positive real numbers such that logab=8/9, logbc=-3/4, logcd=2, find the value of logd(abc)

Eva8 [605]

We can expand the logarithm of a product as a sum of logarithms:

$\log_dabc=\log_da+\log_db+\log_dc$

Then using the change of base formula, we can derive the relationship

$\log_xy=\dfrac{\ln y}{\ln x}=\dfrac1{\frac{\ln x}{\ln y}}=\dfrac1{\log_yx}$

This immediately tells us that

$\log_dc=\dfrac1{\log_cd}=\dfrac12$

Notice that none of $a,b,c,d$ can be equal to 1. This is because

$\log_1x=y\implies1^{\log_1x}=1^y\implies x=1$

for any choice of $y$ . This means we can safely do the following without worrying about division by 0.

$\log_db=\dfrac{\ln b}{\ln d}=\dfrac{\frac{\ln b}{\ln c}}{\frac{\ln d}{\ln c}}=\dfrac{\log_cb}{\log_cd}=\dfrac1{\log_bc\log_cd}$

so that

$\log_db=\dfrac1{-\frac34\cdot2}=-\dfrac23$

Similarly,

$\log_da=\dfrac{\ln a}{\ln d}=\dfrac{\frac{\ln a}{\ln b}}{\frac{\ln d}{\ln b}}=\dfrac{\log_ba}{\log_bd}=\dfrac{\log_db}{\log_ab}$

so that

$\log_da=\dfrac{-\frac23}{\frac89}=-\dfrac34$

So we end up with

$\log_dabc=-\dfrac34-\dfrac23+\dfrac12=-\dfrac{11}{12}$

###

Another way to do this:

$\log_ab=\dfrac89\implies a^{8/9}=b\implies a=b^{9/8}$

$\log_bc=-\dfrac34\implies b^{-3/4}=c\implies b=c^{-4/3}$

$\log_cd=2\implies c^2=d\implies\log_dc^2=1\implies\log_dc=\dfrac12$

Then

$abc=(c^{-4/3})^{9/8}c^{-4/3}c=c^{-11/6}$

So we have

$\log_dabc=\log_dc^{-11/6}=-\dfrac{11}6\log_dc=-\dfrac{11}6\cdot\dfrac12=-\dfrac{11}{12}$

4 0

2 years ago

Ratio 400g : 1kg can be written in the form 1 : n find the value of n?

zvonat [6]

400 : 1kg
400 : 1000
1 : 2.5

n = 2.5

8 0

2 years ago

Determine whether the equation Y=x^2 +13 represents a linear or non linear function and explain

telo118 [61]

Answer:

yés it is linear because

two variables that gives a straight line when plotted on a graph.

if it was correct tell me good or it was mistake tell me truth

Step-by-step explanation:

hope it was correct

3 0

1 year ago