Answers
Answer:
x = 15
z = 25
Step-by-step explanation:
In [tex] \odot\: O, \: \angle MLK [/tex] is inscribed in a semicircle.
[tex] \therefore m\angle MLK =90\degree [/tex]
[tex] \therefore 6x\degree =90\degree [/tex]
[tex] \therefore 6x =90[/tex]
[tex] \therefore x =\frac{90}{6}[/tex]
[tex] \therefore x =15[/tex]
In [tex] \odot\: A, \: \angle PRQ[/tex] is inscribed in a semicircle.
[tex] \therefore m\angle PRQ =90\degree [/tex]
[tex] \therefore (4z-10)\degree =90\degree [/tex]
[tex] \therefore 4z-10 =90[/tex]
[tex] \therefore 4z =100[/tex]
[tex] \therefore z =\frac{100}{4}[/tex]
[tex] \therefore z =25[/tex]
Related Questions
Consider the functions k(x) = x + 1, m(x) = x - 4, n(x) = x + 5, and f(x) = k(x) • m(x) · n(x). a. Determine the degree of the function f(x).
Answers
Answer:
[tex]Degree = 3[/tex]
Step-by-step explanation:
Given
[tex]k(x) = x + 1[/tex]
[tex]m(x) = x - 4[/tex]
[tex]n(x) = x + 5[/tex]
[tex]f(x) = k(x) * m(x) * n(x)[/tex]
Required
The degree of f(x)
First, calculate f(x)
[tex]f(x) = k(x) * m(x) * n(x)[/tex]
[tex]f(x) = (x +1) * (x - 4) * (x + 5)[/tex]
Expand
[tex]f(x) = (x +1) * (x^2 - 4x + 5x - 20)[/tex]
[tex]f(x) = (x +1) * (x^2 + x - 20)[/tex]
Further Expand
[tex]f(x) = x^3 + x^2 - 20x +x^2 + x - 20[/tex]
Collect like terms
[tex]f(x) = x^3 + x^2 +x^2 - 20x + x - 20[/tex]
[tex]f(x) = x^3 + 2x^2 - 19x- 20[/tex]
The degree of f(x) is the highest power of x.
Hence:
[tex]Degree = 3[/tex]
A ski company in Vail owns two ski shops, one on the west side and one on the east side of Vail. Ski hat sales data (in dollars) for a random sample of 5 Saturdays during the 2004 season showed the following results. Is there a significant difference in sales dollars of hats between the west side and east side stores at the 10 percent level of significance?
Saturday Sales Data ($) for Ski Hats
Saturday East Side Shop West Side Shop
1 548 523
2 493 721
3 609 695
4 567 510
5 432 532
Required:
a. State the decision rule for 5 percent level of significance.
b. Find the test statistic tcalc.
Answers
Answer:
At 10 percent significance level, there is not enough statistical evidence to suggest that there is a difference between mean
a. The decision rule for 5% level of confidence is;
For test statistic is less than 2.306 we fail to reject the null hypothesis
For a test statistic larger than 2.306 we reject the null hypothesis
b. The test statistic is approximately -1.2008
Step-by-step explanation:
The given data are;
No; 1, 2, 3, 4, 5
East Side Shop; 548, 493, 609, 567, 432
West Side Shop; 523, 721, 695, 510, 532
Therefore, we have;
The mean for the East Side Shop, [tex]\overline x_1[/tex] = 529.8
The standard deviation for the East Side Shop, s₁ = 68.751
The mean for the West Side Shop, [tex]\overline x_2[/tex] = 596.2
The standard deviation for the West Side Shop, s₂ = 102.7701
[tex]t_0=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_1^{2} }{n_{1}}+\dfrac{s{2}^{2}}{n_{2}}}}[/tex]
Therefore, we have;
The null hypothesis is H₀; μ₂ - μ₁ = 0
The alternative hypothesis is Hₐ; μ₂ - μ₁ ≠ 0
[tex]t_0=\dfrac{(529.8-596.2)}{\sqrt{\dfrac{68.751^{2} }{5}+\dfrac{102.7701^{2}}{5}}} \approx -1.2008[/tex]
At degrees of freedom, df = n₁ + n₂ - 2 = 8, we have the critical-t = 1.895
Given that the critical-t is more than test statistic, we do not reject the null hypothesis, therefore, there is not enough statistical evidence to suggest that there is a difference between mean
Required;
a. At 5% level, we have critical-t = 2.306
Therefore, the decision rule for 5% level of confidence is that we fail to reject the null hypothesis when the magnitude of the test statistic is less than 2.306 and we reject the null hypothesis for a test statistic larger than 2.306
b. The test statistic is given as follows;
[tex]t_0=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_1^{2} }{n_{1}}+\dfrac{s{2}^{2}}{n_{2}}}}[/tex]
[tex]t_0=\dfrac{(529.8-596.2)}{\sqrt{\dfrac{68.751^{2} }{5}+\dfrac{102.7701^{2}}{5}}} \approx -1.2008[/tex]
What is the value of the expression below when x=1? 4x ^2 5x
Answers
Answer: 80
Step-by-step explanation:
Just substitute 1 for x in your expression and solve
Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan’s father and paternal grandfather were allergic to penicillin, Nathan has a 75% chance of having the same allergy. The doctor performed a skin test to see whether Nathan would react to it. The test is 98% accurate. What is the probability that Nathan is not allergic to penicillin and the test predicts it?
A.
0.005
B.
0.015
C.
0.245
D.
0.735
Answers
Answer:
C
Step-by-step explanation:
Answer:
Here is the answer
Step-by-step explanation:
You stop for lunch at a local pizza shop where each pizza is cut into 8
equal slices. If you ate 3 slices of pizzas, what is the approximate area of
the remaining pizza if the diameter of the pizza is 14 inches?
Answers
Answer:
11 slices
Step-by-step explanation:
A cashier in a bank counts the total money as 450000 in denomination of ₹100 ₹500 and ₹100 notes the number of notes are in the ratio 1:2:5 find the number of notes of each denomination
Answers
Answer:
1x+2x+5x=4,50,000
8x=450000
x=450000/8
x=56,250
put the value of x
100 rupee note = 56,250
500 rupee note =2*56250=112500
1000 rupee note =5*56250=281250
total value =56250+112500+281250=450,000
Hope this helps you!
PLEASE HELP NO LINK ANSWER I WILL GIVE BRAINLY THING BOTH QUESTIONS PLEASE
Answers
Answer: 33. Glucose 34. stomach
Step-by-step explanation:
What fraction is equivalent to 10 and has a denominator of 100? (2 points)
6
100
7
60
100
o
600
100
a
60
10
Answers
Answer:
1000 / 100
Step-by-step explanation:
Answer:
ff
Step-by-step explanation:
For the right triangle shown, what is the sine of angle C?
Answers
Answer:
0.5
Step-by-step explanation:
Angle C is 30° since 180° minus 90°, the right angle B, - 60°, angle A.
Sin 30° = 0.5
For the diagram below ,The Value of q , r is
Answers
Answer:
angle r= 45°
angle r+angle q=180°
45°+ angle q=180°[linear pair]
angle q=180°- 45°
angle q= 135°
PLEASE HELP!! I keep getting bots or trolls
How can you restrict the domain of the function f(x) = |x + 4| − 2 so the range of the inverse function, f -1(x), is [-4, ∞)?
A.
x ≥ 4
B.
x ≥ -4
C.
x ≥ 0
D.
x < 4
E.
x ≥ -2
Answers
Answer:
a
Step-by-step explanation:
f is a function that is differentiable for all reals. The value of f '(x) is given for several values of x in the table below.
x -8 -3 0 3 8
f '(x) 5 4 0 -2 -4
If f '(x) is always decreasing, which statement about f(x) must be true?
a.
f(x) has a relative maximum at x = 0.
b.
f(x) is concave upwards for all x.
c.
f(x) has a point of inflection at x = 0.
d.
f(x) passes through the origin.
Answers
9514 1404 393
Answer:
a. f(x) has a relative maximum at x = 0.
Step-by-step explanation:
Since f' is decreasing, the second derivative is negative. That means the graph is concave downward, so any critical point is a relative maximum.
f(x) has a relative maximum at x=0 (where f'(0) = 0)
__
There is no indication that the second derivative is ever zero, so there is no point of inflection.
No values of f(x) are given, so we cannot say whether the function passes through the origin.
Plz help well mark brainliest if you are correct!
Answers
Answer:
12 centimenters.
Step-by-step explanation:
Answer:
6 cm
Step-by-step explanation:
We need to find the distance from R to s which is basically the radius, we know radius is r=d/2 to 12/2 (since 12 is diameter) is 6.
PLEASE HELP!
I AM IN A HURRY
Answers
Answer:
Honestly I have no idea what is going on in this passage or whatever it is.
Step-by-step explanation:
In the decimal number 147.529, the 5 is in the
place.
Answers
Answer:
the TENTHS place
Step-by-step explanation:
hundreds tens ones.tenths hundredths thousandths
I NEED HELP ASAP HELP HELP HELP....
According to the line plot, what is the total amount of time spent studying by the students who studied for 1/2 of an hour each?
Answers
Answer:
2.5hrs
Step-by-step explanation:
solve
8=56
7=42
6=30
5=20
3=??
Answers
Answer:
3 = 6
Step-by-step explanation:
Every number is being multiplied by one lower than the number being used:
8 x 7 = 56
7 x 6 = 42
6 x 5 = 30
and so on.
Therefore 3 will be multiplied by 2, resultng in the number 6.
The ratio of faculty members to students at a college is 1:60. There are
1,220 students. Approximately how many faculty members are there?
Answers
Answer:
either 20 or 21
Step-by-step explanation:
i think you just cross multiply like 1/60=x/1220
x=20.3 but you cant have part of a faculty member, so i believe its 20
(=^w^=)
The value of a specific piece of machinery depreciates at a rate of 10% per year. The initial value of the machinery is $400. Write a formula that models the value of the machine after "t" years.
Please answer fast thank you
Answers
Answer: Y= 400 (1-0.1t)
Step-by-step explanation:
Y the value after depreciation period
400 initial value
0.1 dep rate
T time
Consider the inequality: y < -x + 4 So, the slope m= -1 and
Y-intercept b =4
true
or
false
helpe meee plz
Answers
Answer:true
Step-by-step explanation:
Because your slope is -x or -1 and your y intercept is 4 or b=4
The given condition is true, the inequality: y < -x + 4 So, the slope m= -1 and Y-intercept is b =4.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
It is given that the inequality is,y < -x + 4
A straight line is a combination of endless points joined on both sides of the point.
A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0. The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Compare the given inequality with the standard equation.
We get the slope m= -1 and Y-intercept b =4.
Thus, the given condition is true, the inequality: y < -x + 4 So, the slope m= -1 and y-intercept is b =4.
Learn more about inequality here:
brainly.com/question/19491153
#SPJ6
what is 15x-24x, this is very urgent please
Answers
Answer:
-9x
Step-by-step explanation:
i dont know the answer please help me
Answers
same thing as last. nearest 100th
Answers
Answer:
452.39 mi^2
Step-by-step explanation:
A = πr^2
A = π (12mi)^2
A = 452.39 mi^2
Please mark Brainliest :D
Please mark Brainliest :D
A submarine was twenty feet below the surface of the water and descended an additional thirty-two and a half feet. Eventually the submarine ascended forty feet toward the surface of the water. What is the location of the submarine in the water?
12 feet below the surface of the water
12.5 feet below the surface of the water 52.5 feet below the surface of the water 92.5 feet below the surface of the water
Answers
Answer: 12.5ft below the surface
Step-by-step explanation:
Your home town has a sales tax of 7%. Fill in the chart below with the sales tax and final
price.
Item
Sales Tax (7%)
Total Price
Play Station 5 - $500
1
Hoverboard - $125
Answers
668.75
Step-by-step explanation:
500+125=625
625×7%=43.75
625+43.75=668.75
If ∆HCN~∆BMD, solve for x.
Answer options:
A.11
B.12
C.13
D.14
PLEASE HELP ASAP THANK YOU!
Answers
Answer:
13
Step-by-step explanation:
Are the following expressions equivalent?
A. 3x - 2x + 0.5x3x−2x+0.5x.
a. 1.5x1.5x
Answers
Answer:
1.5 x
Step-by-step explanation:
3x - 2x + 0.5x = 1.5 x
A circle has a radius of 12. what is the circumference of the circle
Answers
Pi 2 x 12
24 pi =75.36
Answer:
14 because of its addition
Step-by-step explanation:
πr²=x
=12+2+x
=14
Show work please!!!!!!!!
Answers
Step by step: 1: 48 x 3/8
2: 48/1 x 3/8 3: 144/8. 4: 18
Answer:
18
Step-by-step explanation:
48÷8
=6x3
=18
:) hope it's help on your work
answer and show proof for brainliest
Answers
Answer:
the answer is the 4th one
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
We can cross B and D out because tho it has a circle on 36, the passage said greater than or equal to meaning it will be colored in.
We can then cross C out because it said less than on 48 which mean it will not be colored in on the circle, 48
I think I found the worksheet for you
https://www.lcps.org/cms/lib/VA01000195/Centricity/Domain/2053/Answer%20Key%20%20MORE%20Review%20Sheets%20for%20Solving%20and%20Graphing%20Inequalities.pdf
Just copy and paste that to ur search bar