What is the difference of the rational expression below?

Can someone explain this??

alexandr402 [8]

Answer:

Step-by-step explanation:

$a+(n-1)*d=t_{n}\\\\a+(70-1)*(-43)=t_{70}\\\\a+69*(-43)=500\\\\a-2967=500\\\\a=500+2967\\\\a=3467$

4 0

3 years ago

Find the values of x and y in the parallelogram when AB=x^2-18, CD=7x, mD=(5y+31), mB=96

Fynjy0 [20]

Greetings, I Am BrotherEye

Answer:

AP = CP, BP = DP; sample answer: If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram, so if AP = CP and BP = DP, then the string forms a parallelogram. ALGEBRA Find x and y so that the quadrilateral is a parallelogram. BP = DP, then the string forms a parallelogram.

Step-by-step explanation:

Answer: B

8 0

3 years ago

last week, ezra's sold 1/3 of tangerines and Anthony sold 3/4 of tangerines as ezra's did. how many boxes of tangerines did Anth

Bond [772]

Answer:

¼ box

Step-by-step explanation:

Ezra sold ⅓ box of tangerines.

Anthony sold ¾ as many as Ezra = ¾ × ⅓ box

Cancel the 3s = ¼ × ¹/₁ box

Multiply numerators and denominators = ¼ box

Anthony sold ¼ box of tangerines.

6 0

3 years ago

A recent study found that 51 children who watched a commercial for Walker Crisps (potato chips) featuring a long-standing sports

hichkok12 [17]

Answer:

1

The claim is that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

2

The kind of test to use is a t -test because a t -test is used to check if there is a difference between means of a population

3

$t = 3.054$

4

The p-value is $p-value = P(Z > 3.054) = 0.0011291$

5

The conclusion is

There is sufficient evidence to conclude that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

The test statistics is

Step-by-step explanation:

From the question we are told that

The first sample size is $n_1 = 51$

The first sample mean is $\mu_1 = 36$

The second sample size is $n_2 = 41$

The second sample size is $\mu_2 = 25$

The first standard deviation is $\sigma _1 = 21.4 \ g$

The second standard deviation is $\sigma _2 = 12.8 \ g$

The level of significance is $\alpha = 0.05$

The null hypothesis is $H_o : \mu_1 = \mu_ 2$

The alternative hypothesis is $H_a : \mu_1 > \mu_2$

Generally the test statistics is mathematically represented as

$t = \frac{\= x_1 - \= x_2}{ \sqrt{ \frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} } }$

=> $t = \frac{ 36 - 25}{ \sqrt{ \frac{ 21.4^2}{51} + \frac{ 12.8^2}{41} } }$

=> $t = 3.054$

The p-value is mathematically represented as

$p-value = P(Z > 3.054)$

Generally from the z table

$P(Z > 3.054) = 0.0011291$

=> $p-value = P(Z > 3.054) = 0.0011291$

From the values obtained we see that $p-value < \alpha$ so the null hypothesis is rejected

Thus the conclusion is

There is sufficient evidence to conclude that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

5 0

3 years ago

Please answer this, thanks.

elena55 [62]

First, put it into point-slope form.

Find the slope:

m=(y2-y1)/(x2-x1)
m=(-6-(-2)/(2-1)
m=(-6+2)/1
m=-4/1
m=-4

Now, put it into point-slope:

y-y1=m(x-x1)

y-2=-4(x-(-6)
y-2=-4(x+6)
y-2=-4x-24

Slope intercept form: y= mx+b

Add 2 to the other side.

y=-4x-22 <== the answer

I hope this helps!
~kaikers

4 0

3 years ago

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