Select the correct answer. Which sequence is not equivalent to the others?

kari74 [83]

Answer:

Step-by-step explanation:

Any parallelogram has the area of the length between the left and right side times the length from the top to the bottom.

Here the horizontal length is easy, it's just 6. it tries to trick you witht he vertical length. You want the straight up nd down line from the top and bottom, which is that 8 on the right. so the area is 6*8

6*8 = 48

3 0

3 years ago

Which algebraic expression models the given word phrase 10 times the sum of a and b?

Phoenix [80]

In this case, the answer would be 10(a+b). We are multiplying 10 * a + b. Hope this helps you and satisfies your query. Feel free to ask more questions.

8 0

3 years ago

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Find the value of each variable

aniked [119]

Answer:

Answer d)

$a= 10*\sqrt{3}$ $b=5*\sqrt{3}$ , $c=15$ , and $d=5$

Step-by-step explanation:

Notice that there are basically two right angle triangles to examine: a smaller one in size on the right and a larger one on the left, and both share side "b".

So we proceed to find the value of "b" by noticing that it the side "opposite side to angle 60 degrees" in the triangle of the right (the one with hypotenuse = 10). So we can use the sine function to find its value:

$b=10*sin(60^o)= 10*\frac{\sqrt{3} }{2} = 5*\sqrt{3}$

where we use the fact that the sine of 60 degrees can be written as: $\frac{\sqrt{3} }{2}$

We can also find the value of "d" in that same small triangle, using the cosine function of 60 degrees:

$d=10*cos(60^o)=10* \frac{1}{2} = 5$

In order to find the value of side "a", we use the right angle triangle on the left, noticing that "a" s the hypotenuse of that triangle, and our (now known) side "b" is the opposite to the 30 degree angle. We use here the definition of sine of an angle as the quotient between the opposite side and the hypotenuse:

$sin(30^o)= \frac{b}{a} \\a=\frac{b}{sin(30)} \\a=\frac{5*\sqrt{3} }{\frac{1}{2} } \\a= 10*\sqrt{3}$

where we used the value of the sine function of 30 degrees as one half: $\frac{1}{2}$

Finally, we can find the value of the fourth unknown: "c", by using the cos of 30 degrees and the now known value of the hypotenuse in that left triangle:

$c=10*\sqrt{3} * cos(30^o)=10*\sqrt{3} *\frac{\sqrt{3} }{2} \\c= 5*3=15$

Therefore, our answer agrees with the values shown in option d)

6 0

3 years ago

(6x^3+x^5+2x^2−7−4x)−(3x^2−5x+2+5x^5+3x^4)

Alex17521 [72]

Let's simplify step-by-step.6x3+x5+2x2−7−4x−(3x2−5x+2+5x5+3x4)
Distribute the Negative Sign:=6x3+x5+2x2−7−4x+−1(3x2−5x+2+5x5+3x4)=6x3+x5+2x2+−7+−4x+−1(3x2)+−1(−5x)+(−1)(2)+−1(5x5)+−1(3x4)=6x3+x5+2x2+−7+−4x+−3x2+5x+−2+−5x5+−3x4
Combine Like Terms:=6x3+x5+2x2+−7+−4x+−3x2+5x+−2+−5x5+−3x4=(x5+−5x5)+(−3x4)+(6x3)+(2x2+−3x2)+(−4x+5x)+(−7+−2)= −4x5+−3x4+6x3+−x2+x+−9
Answer:= −4x5−3x4+6x3−x2+x−9

8 0

3 years ago

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A school has two kindergarten classes. There are 21 children in Ms. Toodle's kindergarten class. Of these, 17 are "pre-readers"

Maru [420]

Answer:

Answer : D

Step-by-step explanation:

A school has two kindergarten classes. There are 21 children in Ms. Toodle's kindergarten class. Of these, 17 are "pre-readers" children on the verge of reading. There are 19 children in Mr. Grimace's kindergarten class. Of these, 13 are pre-readers. Using the plus four confidence interval method, a 90% confidence interval for the difference in proportions of children in these classes that are pre-readers is â0.104 to 0.336.

Which of the following statements is correct?

A) This confidence interval is not reliable because the samples are so small.

B)This confidence interval is of no use because it contains 0, the value of no difference between classes.

C)This confidence interval is reasonable because the sample sizes are both at least 5.

D) This confidence interval is not reliable because these samples cannot be viewed as simple random samples taken from a larger population.

The Answer is D - This confidence interval is not reliable because these samples cannot be viewed as simple random samples taken from a larger population.

In this setup, all the students are already involved in the data. This is not a sample from a larger population, but probably, the population itself.

4 0

3 years ago