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lana [24]
3 years ago
8

For isosceles AJKL shown below, which of the following is the measure of ZK to the nearest tenth of a

Mathematics
1 answer:
Olenka [21]3 years ago
8 0

Answer:

yes yes the deegre is q5rt

Step-by-step explanation:

rfwefwefewffdsfd yes

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Find the length of the third side to the nearest tenth.<br> 3<br> 3<br> Answer:<br> Submit Answer
Anarel [89]

Answer:

4

Step-by-step explanation:

yes

8 0
2 years ago
Use part 1 of the fundamental theorem of calculus to find the derivative of the function. f(x) = 0 x 4 + sec(2t) dt hint: 0 x 4
Wewaii [24]
Terrible formatting. 0 x 4? What does that mean? - x 0 4? Nobody can read that. I can't even tell what the integral is.

Is 0 x 4 supposed to mean \int_0^x 4 ...?

f(x) = \displaystyle\int_0^x (4 + \sec(2t) ) dt = F(x) - F(0),\ \text{where }F'(x) = 4 + \sec (2t) \\ \\&#10;f'(x) = F'(x) - F'(0)\ \Rightarrow\ f'(x) = 4 + \sec(2x)
3 0
3 years ago
Vertex of x^2 + 6x + 17
jekas [21]

We have: f(x)=x^2+6x+17

Method 1.

Use: (*)\ \ \ \ \ (a+b)^2=a^2+2ab+b^2

and the vertex form f(x)=a(x-h)^2+k

(h, k) - the coordinates of a vertex

x^2+6x+17=x^2+2\cdot x\cdot3+17=\underbrace{x^2+2\cdot x\cdot3+3^2}_{(*)}-3^2+17\\\\=(x+3)^2+8\to h=-3;\ k=8

Answer: (-3, 8)

Method 2.

For f(x)=ax^2+bx+c the coordinates of a vertex (h, k) are equal

h=\dfrac{-b}{2a};\ k=f(h)=\dfrac{-(b^2-4ac)}{4a}

We have: f(x)=x^2+6x+17\to a=1;\ b=6;\ c=17

Substitute:

h=\dfrac{-6}{2\cdot1}=\dfrac{-6}{2}=-3\\\\k=f(-3)=(-3)^2+6(-3)+17=9-18+17=8

Answer: (-3, 8)

5 0
3 years ago
Jamie and Amy are married and both work for Coastal Company. Jamie works in a department for which the mean hourly rate is $18.8
alexandr1967 [171]

Answer:

Amy is better paid

Step-by-step explanation:

The mean hourly rate in the department for which Jamie works, μ₁ = $18.80

The standard deviation hourly rate for Jamie's department, σ₁ = $3.20

The mean hourly rate in the department for which Amy works, μ₂ = $17.50

The standard deviation hourly rate for Amy's department, σ₂ = $2.80

The amount Jamie earns, x₁ = $19.75

The amount Amy earns, x₂ = $19.15

The z-score which is the number of sample standard deviation a given value in a sample is above the mean of the sample is given as follows;

Z=\dfrac{x-\mu }{\sigma }

Jamie's standard score, z = (19.75 - 18.80)/3.20 = 0.296875 ≈ 0.3

From the z-table, we get p (z < 0.296875)  = 0.61791

Therefore, the probability of earning higher than $19.75 in Jamie's department is p (z >0.296875) = 1 - 0.61791 = 0.38209 or 38.209% earn higher than Jamie

Amy's standard score, z = (19.15 - 17.50)/2.80 ≈ 0.5893

From the z-table, we get p (z > 0.5893)  = 1 - 0.71904 = 0.28096

Therefore, the probability of earning higher than $19.15 per hour in Amy's department is 0.28096 or only 28.096% of the people working in Amy's department earn higher than her

Therefore, given that Amy's earns more than 71.904% of the people in her department while Jamie's earns more than 61.791% of the people in his department, Amy is better paid relative to her department's members pay statistics than Jamie.

4 0
2 years ago
the length of a model car is 1/20 of the length of the actual car. If the model is 8.7 in. long, how long is the actual car?
frez [133]
1/20 is equl to 5% so... 8.7 / 5% =?  or    8.7 / 0.05 = ?

the answer is............ 174 in.
3 0
3 years ago
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