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3 years ago

GIVING BRAINLIEST Graph the equation y=2x−5.

Mathematics

1 answer:

sergiy2304 [10]3 years ago

8 0

Answer: y=−10

Step-by-step explanation: GIVE ME BRAINLIEST HOPE THAT HELPED

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Im not so sure about this. I need help making a proof that is 9 steps long. (See image)

Leona [35]

Step-by-step explanation:

Not entirely sure, but I believe something like this:

∠1 + ∠2 = 180° since they are a linear pair;

Since ∠1 = ∠2, we can say:

∠1 + ∠1 = 180°

2(∠1) = 180°

∠1 = 90°

And since:

∠1 = ∠2

∠2 = 90°

So the angle between t and s is 90°;

An angle of 90° means t and s are perpendicular (⊥)

8 0

2 years ago

The sum of three consecutive integers is 48. What are the three numbers?

Alinara [238K]

What three consecutive integers have a sum of 48? Which means that the first number is 15, the second number is 15 + 1 and the third number is 15 + 2. Therefore, three consecutive integers that add up to 48 are 15, 16, and 17.

7 0

3 years ago

Complete the pattern 1, 3, 4, 7, 11, (?).

masha68 [24]

Answer:18

Step-by-step explanation:

Every third term is a sum of previous two.

the sequence 1, 3, 4, 7, 11, 18

7 0

3 years ago

Read 2 more answers

Cos^2x+4cosx+4/cosx+2=2secx+1/secx

Lorico [155]

Answer:

$\frac{\cos^2x+4\cos x+4}{\cos x+2}=\frac{2\sec x+1}{\sec x}$

Step-by-step explanation:

To prove the given identity, we solve the left hand side and right hand side expressions and show that they are equal.

So we get $\frac{2\sec x+1}{\sec x}\\\\=\frac{2\sec x}{\sec x}+\frac{1}{\sec x}\\\\= 2+\cos x\\\\\text{since the left hand side and right hand side expression are same, so}\\\text{it verifies the identity.}$

$\text{Left hand side}=\frac{\cos^2x+4\cos x+4}{\cos x+2}\\\\\text{Here observe that the numerator is a perfect square using }\\a^2+2ab+b^2=(a+b)^2\\\text{so we get}\\\\=\frac{(\cos x+2)^2}{\cos x+2}\\\\\text{now we can cancel out one factor (cos x+2) from numerator and denominator.}\\\text{so we get}\\\\=\cos x+2\\\\\text{And similarly the right hand side gives}$

7 0

3 years ago

An article presents measures of penetration resistance for a certain fine-grained soil. Fifteen measurements, expressed as a mul

balu736 [363]

Answer:

$2.64-2.14\frac{1.32}{\sqrt{15}}=1.911$

$2.64+2.14\frac{1.32}{\sqrt{15}}=3.369$

So on this case the 95% confidence interval would be given by (1.911;3.37)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=2.64$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=1.32 represent the sample standard deviation

n=15 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=15-1=14$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,14)".And we see that $t_{\alpha/2}=2.14$

Now we have everything in order to replace into formula (1):

$2.64-2.14\frac{1.32}{\sqrt{15}}=1.911$

$2.64+2.14\frac{1.32}{\sqrt{15}}=3.369$

So on this case the 95% confidence interval would be given by (1.911;3.37)

6 0

3 years ago