Answer:
Solution:
(a) Radius of the circle = 14 mm
Area of circle = πr2
= 22/7 × 14 mm × 14 mm
= 22 × 2 mm × 14 mm
= 616 mm2
(b) Diameter of the circle = 49 m
Therefore, radius = diameter/2 = 24.5 m
Area of circle = πr2
= 22/7 × 24.5 m × 24.5 m
= 22 × 24.5 m × 3.5 m
= 1886.5 m2
(c) Radius of the circle = 5 cm
Area of circle = πr2
= 22/7 × 5 cm × 5 cm
= 550/7 cm2
= 78.57 cm2
Answer:
A=1
4πd2=1
4·π·492≈1885.74099m²
Step-by-step explanation:
Question 19 of 25
What is the solution to the system of equations graphed below?
y
y = -2
5
y = 4x-5
y = x-2
y = 4x - 5
w
O A. (1,-1)
O B. (0,-5)
O C. (0, -2)
OD. (2,0)
Answer:
the answer is A (1,-1)
Step-by-step explanation:
let x-2=4x-5
3x=3
x=1
at any point y will be equal -1
The solution is : the solution(s) to the system of equations is : B.(1,-3)
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Given in the question two equation
Equation1
y = x² - 4
Equation2
y = 2x - 5
Substitute y with 2x-5 in equation2
x² - 4 = 2x - 5
x² - 2x + 1 = 0
(x-1)(x-1)=0
x = 1
plug value of x in any equation
y = 2(1)- 5
y = -3
Hence, The solution is : the solution(s) to the system of equations is :
B.(1,-3)
To learn more on equation click:
brainly.com/question/24169758
#SPJ7
complete question:
find the solution(s) to the system of equations. select all that apply y=x^2 - 4 y= 2x-5 - 2 A. (-5-0) B.(1,-3)C.(-2,0)D.(2,0)
9 less than one-fifth of c
Answer: The equation in math form is \(\frac{1}{5}c\) - 9.
Step-by-step explanation:
So the givens are:
9 less than one-fifth of c
Let's put this equation in math form:
\(\frac{1}{5}c\) - 9
Hence your answer!
Please help. I’ll mark you as brainliest if correct!!!!
Answer:
a= 0
b= \(-\frac{\sqrt{42} }{12}\)
Step-by-step explanation:
We can rewrite the expression to be:
\(\frac{i\sqrt{7} }{i^{2}\sqrt{24} }\)
We then can cancel out the i and we get
\(\frac{\sqrt{7} }{\sqrt{24} i}\)
Can be rewritten as
\(\frac{\sqrt{7} }{2\sqrt{6} i}\)
We then rationalize and get
\(-\frac{\sqrt{42} }{12} i\)
PLEASE HELP DUE SOON!
I'm so confused, help determine the 100th line segment from question below!
Answer:
20200
Step-by-step explanation:
As you're in a hurry, I can give it later? xx
The National Automobile Dealers Association collects data on sales numbers, prices, and usage of new and used automobiles. One statistic of interest is the proportion of cars that are still on the road after 10 years. In a 2019 sample of 1500 on the road cars, 357 were 10 years old or older. Let
p
be the true proportion of on the road cars that are 10 years or older. Consider testing the hypotheses
H 0
:p=0.25
versus
H 1
:p<0.25
What is the P-value for your test? Round your answer to two decimal places.
The P-value for the hypothesis test is 0.1034 .Round to two decimal places, the P-value is 0.10
To find the P-value for this hypothesis test, we need to use the sample proportion of on the road cars that are 10 years or older, which is the number of cars in the sample that are 10 years or older divided by the total number of cars in the sample. In this case, the sample proportion is \(\frac{357}{1500}= 0.238.\)
We can then use this sample proportion to calculate the P-value, which is the probability of observing a sample proportion as extreme as the one we have seen, or even more extreme, given that the null hypothesis is true. In this case, the null hypothesis states that the true proportion of on the road cars that are 10 years or older is 0.25, so we need to calculate the probability of seeing a sample proportion as low as 0.238, or lower, if the true proportion is actually 0.25.
To do this, we can use a one-sided test, since we are only interested in the probability of seeing a sample proportion lower than 0.25. We can use a normal approximation to the binomial distribution to calculate the P-value.
The standard error of the sample proportion is given by the formula:
SE \(= \sqrt\frac {p \ * (1 - p)}{n}\)
Where p is the null hypothesis value for the proportion (0.25 in this case) and n is the sample size (1500 in this case). Plugging these values into the formula gives us:
SE = \(\sqrt\frac{0.25 * (1 - 0.25)}{1500}= 0.0158\)
The z-score for the sample proportion is then given by the formula:
z =\(\frac{ (p - p_0)}{SE}\)
Where p is the sample proportion (0.238 in this case) and p0 is the null hypothesis value for the proportion (0.25 in this case). Plugging these values into the formula gives us:
\(z = \frac{(0.238 - 0.25)}{0.0158} = -1.27\)
We can then use the z-score to calculate the P-value. Since we are performing a one-sided test, we only need to consider the probability of seeing a sample proportion lower than 0.25. This is given by the area under the normal curve to the left of the z-score. We can use a z-table or a calculator to find this probability.
The probability for a z-score of -1.27 is about 0.1034. This is the P-value for the hypothesis test.
Round to two decimal places, the P-value is 0.10
To learn more about probability, visit:
brainly.com/question/11234923
#SPJ4
If you bought a stock last year for a price of $141,and it has risen 1.8% since then,
how much is the stock worth now, to nearest cent?
Answer:
Current worth of stock is $141.538
Current worth of stock rounded to nearest cent is $142
Step-by-step explanation:
price of stocks= $141
percentage increase in price of stocks = 1.8% of initial price of stock
dollar value increase in price of stocks = 1.8% of initial price of stock
increase in price of stocks = 1.8% of $141
increase in price of stocks = 1.8/100 * $141 =$ 253.8/100 = $2.538
Current worth of stock = initial price of stock+increase in price of stocks
substituting the value of initial price of stock and increase in price of stocks we have
Current worth of stock =$141 + $2.538 = $141.538
Since we need to find stock worth now, to nearest cent, as after decimal there .5 and any value greater than or equal to .5 is rounded to one then after rounding, $141.538 becomes $142
Write the equation of the line in slope-intercept form, if the slope is 12 and the point it passes through is (2,-4) *
A. y=12x+28
B.y=12x-28
C.y=12x-20
D.y=12x
If △EFG ≅ △NML, what are the congruent corresponding parts?
Answer:
c
Step-by-step explanation:
100% sure and correct :) ❤️
What is the maximum of f(x)=sin(x)
Answer:
1
Step-by-step explanation:
The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2. If you look at a graph of
y = sin(x) you can see this.
Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.
Step-by-step explanation:
Property of Sine function:
Sin(x)=0 when x=90°,180°,360°The maximum and Minimum value of Sin(x) is 1 and -1 respectively, when and x=270° respectively.The range of values of sin(x) is -1 to 1.Read more on the Sine function:
https://brainly.com/question/21902442
https://brainly.com/question/29529184
https://brainly.com/question/23214084
draw a circle Q with a quadrilateral WXYZ inscribed in it and where WY goes right through the center Q. If angle XYZ=50 explain how you can find all other angels
Angle WZY is 50 degrees, angle WZX is also 50 degrees, and angle XZW is 160 degrees.
What is the inscribed angle theorem?
The inscribed angle theorem, also known as the central angle theorem, states that an angle formed by two chords in a circle is half the measure of the arc they intersect, or subtend, inside the circle.
To find all other angles in the circle with quadrilateral WXYZ inscribed in it and WY going through the center Q:
Since WY goes through the center, angle WYZ and angle WXY are both right angles (90 degrees)
By the inscribed angle theorem, angle WZY is equal to half the measure of the arc WX.
Since angle XYZ is given as 50 degrees, the measure of the arc WX is 2 times 50 degrees, which is 100 degrees.
Therefore, angle WZY is 50 degrees.
By the same logic, angle WZX is also 50 degrees.
Since angles WYZ and WXY are right angles, angles XZY and WZX are also right angles.
Finally, we can find angle WZY + angle XYZ + angle XZW + angle WZX = 360 degrees (sum of angles in a quadrilateral), and we can solve for angle XZW which is 160 degrees.
To know more about the inscribed angle theorem visit:
brainly.com/question/16120801
#SPJ1
Write the logarithmic expression as a single logarithm.
Answer:
\(\log_48\)
Step-by-step explanation:
\(\log_432-\log_4(4) = \log_4(\frac{32}{4} )=\log_48\)
Bailey saves money at the end of each month. The function f(x) = 10x + 50 models the total amount he has saved after 'x' months. What is the domain of the function?
A) (50, 60, 70, ....)
B) (60, 70, 80, ...)
C) All positive real numbers
D) all non-negative integers
Answer:
D) all non-negative integersStep-by-step explanation:
The function f(x) = 10x + 50 models the total amount he has saved after 'x' months.
The domain is x-values, which is the number of the months.
x can only be zero or positive integers (since you can save after the month is complete), therefore the last option is correct.
Find the area of the figure below by first finding the areas of the rectangle and triangles.
Area of the rectangle:
Area of the triangle on the left:
Area of the triangle on the right:
Area of the figure:
a. The area of the rectangle: 16 units²
b. The area of the triangle on the left: 6 units²
c. Area of the triangle on the right: 10 units²
d. Area of the figure: 32 units²
What is the Area of a Rectangle and a Triangle?Area of a rectangle = (l)(w)Area of a triangle = 1/2bha. l = 4 units
w = 4 units
Area of the rectangle = (4)(4) = 16 units²
b. b = 3 units
h = 4 units
Area of the triangle on the left = 1/2(3)(4) = 6 units²
c. b = 5 units
h = 4 units
Area of the triangle on the right = 1/2(5)(4) = 10 units²
d. Area of the figure = 16 + 6 + 10 = 32 units²
Learn more about the area of a rectangle and a triangle on:
https://brainly.com/question/446826
#SPJ1
Answer:
a: 16
b: 6
c:10
d: 32
Step-by-step explanation:
explained already <3
PLEASE HELP PLEASE!! I ATTACHED A PICTURE
Answer:
It's option 3
Step-by-step explanation:
Answer:
I think it is option 3 hopes that helps
Through how many radians does the minute hand of a clock turn in three hours?
3 pi
9 pi
6 pi
Which ratio is equivalent to 5:9? with a twist ( only those options)
Divide the option with 4 so that you can get the equivalent ratio to 5:9 .
If an object is shot upward with an initial velocity, vo, in feet per second (ft/s), the velocity, v, in ft/s is given by the formula v = vo - 32t where t is time in seconds. Find
the initial velocity of an object if the velocity after 3 seconds is 44 ft/s
Answer:
3s
Step-by-step explanation:
the answer is 3 seconds
(2*10^3) + ( 5*10^5 )
is 12 : 8 and 18 : 12 equivalent ratios?
Answer:
Yes.
Step-by-step explanation:
Because 12:8=12/8=3/2.
And 18:12=18/12=3/2.
Please help me I’ll mark you brainly
On solving the provided question, we can say that - here in graph we have on solving equation \(2x^2+ 9y^2 \\\) = \(8 + 9 = 17\)
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
here,
from graph, x= 2
y = 1
\(2x^2+ 9y^2 \\\)
\(8 + 9 = 17\)
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
Alyson opened a savings account with $100 . She saves $50 per month . Which of the following equations can be used to find out how much money she has in her account after x months ? A. 100 + 50x = y B. 50 + 100x = y C. 600 + 50x = y
Answer:
The equation that can be used to show the money she has in her account after x months is A. 100 + 50x = y.
Step-by-step explanation:
How much money Alyson credited when she opened the saving account: $100
After opening saving account, she saves every month: $50
After x months, the total amount she credited every month would be: 50x
Let’s assume the total amount she has in her account after x months is y.
So, y will be equals to 100 + 50x.
Because she already had $100 in her account at the time of opening the saving account and after x months, $50x will be added.
Hence, the correct linear equation that can be used here is 100 + 50x = y.
Learn more about linear equations here https://brainly.com/question/2030026
#SPJ9
6. Barbara has $750 to deposit into two different savings accounts.
• Barbara will deposit $350 into accountl, which earns 4.5 % annual simple interest.
• She will deposit $400 into Account II, which earns 4 % % interest compounded annually.
Barbara will not make any additional deposits or withdrawals. Which amount is closest to
the sum of the balance of Account I and account II at the end of 3 years?
9514 1404 393
Answer:
(d) $850.45
Step-by-step explanation:
The balance in account I is given by ...
A = P(1 +rt) . . . . principal P invested at annual rate r for t years
A = 350(1 +0.045×3) = 397.25
__
The balance in account II is given by ...
A = P(1 +r)^t
A = 400(1 +0.0425)^3 ≈ 453.20
__
The total amount in the two accounts is
$397.25 +453.20 = $850.45
Which of the following speeds will produce lowest miles per gallon?
A. 35 mph
B. 105 mph
c. 45 mph
D. 55 mph
SUBMIT
Answer: B. 105 mph
Step-by-step explanation:
Answer:
trust me (D) is the correct answer can you mark b please thank you
Step-by-step explanation:
I hope it help you lot see you around
Without multiplying tell which is greater 4/5x45 or 2/3x45
Answer:
2/3 x 45 < 4/5 x 45
Step-by-step explanation:
Rearrange from smallest to largest:
2/3 x 45 < 4/5 x 45
I hope this helps!
what type of data states that every value in the set is a number
Answer:
QUALITATIVE DATA-type of data states that every value in the set is a number.
Step-by-step explanation:
QUALITATIVE DATA-type of data states that every value in the set is a number.
Answer:
QUALITATIVE DATA-type of data states that every value in the set is a number.
Hong will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of 55.96 and costs an additional 0.12 per mile driven. The second plan has an initial fee of 43.96 and costs additional 0.14 pre mile driven. How many miles would Hong need to. drive for the two plans to cost the same?
Answer:
600 miles the costs will be the same.
Explanation:
The first plan has an initial fee of $43.96 and costs an additional $0.14 per
mile driven.
C= 43.96 + 0.14x
The second plan has an initial fee of $55.96 and costs an additional $0.12 per mile driven.
C= 55.96+0.12x
equate them to get the same cost
43.96 +0.14x= 55.96+0.12x
0.02x= 55.96- 43.96
0.02x = 12
1 / 0.02 = 50
12 x 50 = 600
x = 600 miles.
Driving for 600 miles, the cost will be same
Solve for m/a renter answer in the box round to your final answer to the nearest degree.
Answer:
50 degrees
Step-by-step explanation:
For a RIGHT triangle tan A = opposite side / adjacent side
tan A = 12/10
arctan ( tan A) = A = arctan (12/10) = 50.19 degrees
Pls answer!! reward is a lot of points. Question is "7/4 - (- 1/6)"
Answer:1 11/12
Step-by-step explanation:
f(x) = 2 - 4x
Solve for x when f(x) = 20
Answer:
x = -4.5
Step-by-step explanation:
\(20 = 2 - 4x\)
\(18 = - 4x\)
\( - 4.5 = x\)
14. Four friends decide to share
equally 7 packs of baseball cards.
There are 8 cards in each pack.
Part A
How many cards does each
friend get?
Part B
Explain your strategy.
Answer:
Each gets 14 cards.
Step-by-step explanation:
7*8=56
56 Is the total amount of cards
56/4 equals 14
We divide 56 by 4 since 4 is the total number of friends.