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zheka24 [161]
3 years ago
13

Find XS, VY, and YZ. I am very confused on what to do.​

Mathematics
1 answer:
Dafna1 [17]3 years ago
7 0

Answer:

Do you see the lines and how they are named? I am going to try and explain this in less words than I can. Where it says XS you have to match it up with the lines. But if it says that you have to find XSU (which it does not) you would have to go up all the way but you stop where it says the S so you wont go all  the way up to the U. I hope this helps!

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What value of $k$ will make $4x^2 - 20x + k$ the square of a binomial?
Arisa [49]

Answer:

k = 25

Step-by-step explanation:

(2x  - sqrt(k) )^2              Expand this as a binomial                          

4x^2 - 4x*sqrt(k) + k      The middle term must be -20x Solve for k so it is

-4xsqrt(k) = - 20x            Divide by -4x

sqrt(k) = -20x/-4x             Do the division

sqrt(k) = 5                         Square both sides

k = 25


5 0
3 years ago
Simplify the expression. Write the answer using scientific notation.
bonufazy [111]

Answer:

  C.  2.5×10^-27

Step-by-step explanation:

(2×10^-13)^-2 = 2^-2 × 10^(13×(-2)) = 1/4 × 10^-26

= 0.25 × 10^-26 = 2.5 × 10^-27

___

Your scientific or graphing calculator can compute and display this for you.

4 0
3 years ago
Will Upvote you!
notka56 [123]
For x = 4, then it means 3 to the fourth power or 3 times 3 times 3 times 3 times 3.  3^4 = 81 and 8 times that is 648.

y(x) = 8 * 3^x where x = 4:

y(x) = 8 * 3^4 = 8 * 81
y(x) = 648

The Function Rule then being that for every value of x there is one and only one value of y. y is the dependent variable and x is the independent variable.
7 0
3 years ago
Find sin A <br>a 4/5<br>b 5/4<br>c 3/5<br>d 5/3<br>e 3/4<br>f 4/3​
romanna [79]

Answer:  4/5 (first choice)

=========================================

Work Shown:

sin(angle) = opposite/hypotenuse

sin(A) = BC/AC

sin(A) = 24/30

sin(A) = (6*4)/(6*5)

sin(A) = 4/5

8 0
2 years ago
A researcher believes that the mean weight of competitive runners is about 140 pounds. A sample of 24 elite distance runners has
ExtremeBDS [4]

Answer:

t=\frac{136-140}{\frac{11}{\sqrt{24}}}=-1.781    

p_v =P(t_{(23)}  

If we compare the p value and the significance level assumed \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the mean is less than 140 pounds at 5% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=136 represent the sample mean

s=11 represent the sample standard deviation

n=24 sample size  

\mu_o =140 represent the value that we want to test

\alpha=0.01 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is less than 140, the system of hypothesis would be:  

Null hypothesis:\mu \geq 140  

Alternative hypothesis:\mu < 140  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{136-140}{\frac{11}{\sqrt{24}}}=-1.781    

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=24-1=23  

Since is a one left tailed test the p value would be:  

p_v =P(t_{(23)}  

Conclusion  

If we compare the p value and the significance level assumed \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the mean is less than 140 pounds at 5% of signficance.  

4 0
2 years ago
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