Answer:
b
Step-by-step explanation:
A bicycle wheel travels exactly 26/pi inches in I full rotation, what is the area, to the nearst square inch, of a circle the same size az the bicycle wheel?
The area, to the nearst square inch, of a circle the same size az the bicycle wheel is 531 inches².
What is the area of the circle?A circle is a bounded figure which points from its center to its circumference is equidistant.
Area of a circle = πr²
Where :
π = pi = 22/7
R = radius
The full rotation of the wheel is equal to the circumference of the wheel.
circumference of the wheel = 2 πr
26π = 2 πr
r = 13 inches
Area = 22/7 x 13³ = 531 inches²
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Translate this sentence into an equation.
The product of 3 and Vidya's height is 54.
Use the variable v to represent Vidya's height.
Th equation is \(3v=54\\\).
Given,
product of 3 and vidya's height is 54
v is represented as vidya's height.
Representation of equation is as follows:
The product of 3 and vidya's height can be written as \(3*v=3v\)
and their product is 54,
\(3v=54\).
Thus, the equation is \(3v=54\\\).
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Se compra medio galón de leche para poder llenar biberones de 5 onzas
¿cuantos biberones se podrán llenar?
¿Cuantos mililitros tendrá cada biberón?
Answer:
Step-by-step explanation:
here is a step-by-step explanation:
Convert half a gallon of milk to liters. There are 3.785 liters in a gallon, so half a gallon is 1.892 liters.
Convert 5 ounces to liters. There are 0.147868 liters in 5 ounces.
Divide the total volume of milk (1.892 liters) by the volume of each bottle (0.147868 liters) to find out how many bottles can be filled completely:
1.892 liters / 0.147868 liters per bottle = 12.8 bottles
Note that the answer is not a whole number, which means there will be some leftover milk after 12 bottles are filled.
To find out how many milliliters are in each bottle, we can convert 5 fluid ounces to milliliters:
5 fluid ounces x 29.5735 milliliters per fluid ounce = 147.868 milliliters
Therefore, each bottle will contain approximately 147.868 milliliters of milk.
So, in summary, with half a gallon of milk, you can fill 12 bottles completely and each bottle will contain about 147.868 milliliters of milk.
If f(x) = 2x - 3, find f(-2).
Answer:
f(-2) is -7
Step-by-step explanation:
input -2 as x
2(-2)-3
-4-4
-7
According to a map Vincent lives 32 km from frank Distance Equivalent 1 kn = 0.62 miles using this table above how many miles does Vincent live from the park
Answer:
C
Step-by-step explanation:
I took the test and i got it correct
Find the area of the triangle.
3 9
A
5
B
?] units²
The area of the triangle is 47.91 units²
How to find the area of the triangle?When all three sides of the triangle are known we can use Heron's formula. Consider the triangle ABC with sides a, b, and c has shown in the image.
Heron’s formula is:
Area =√s(s−a)(s−b)(s−c)
where,
a, b, c are the side length of the triangle
s is the semi-perimeter. s = (a+b+c)/2
In this case:
Using the knowledge of the radius of a circle. We can say:
a = BC = 3 + 9 = 12 units
b = AC = 5 + 3 = 8 units
c = AB = 5 + 9 = 14 units
s = (a+b+c)/2
s = (12+8+14)/2
s = 34/2
s = 17 units
Area = √s(s−a)(s−b)(s−c)
Area = √17(17−12)(17−8)(17−14)
Area = √17(5)(9)(3)
Area = √2295
Area = 47.91 units²
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Sam invested $2700 in an account with annually compounded interest. After 7 years, he had $3432 in the account. What was the interest rate of the account? Round your answer to one decimal place.
Answer: 3.5
Step-by-step explanation:
What is a possible value of x if -5 < x< 0?
Answer:
x=-4,-3,-2or-1
Step-by-step explanation :0
Given f(x) = 2x - 1 h(x) = x^2 + 1Find f[h(7)]
Answer:
\(f\lbrack h(7)\rbrack\text{ = 99}\)Explanation:
Given the functions:
\(\begin{gathered} f(x)=2x-1 \\ h(x)=x^2+1 \end{gathered}\)We want to find:
\(f\lbrack h(7)\rbrack\)First of all, we need to find:
\(f\lbrack h(x)\rbrack\)This is done by inserting the value of h(x) into f(x)
So, we have:
\(\begin{gathered} f\lbrack h(x)\rbrack=2(x^2+1)-1 \\ =2x^2+2-1 \\ =2x^2+1 \end{gathered}\)Substituting 7 for x in f[h(x)], we have f[h(7)]
\(\begin{gathered} f\lbrack h(7)\rbrack=2(7^2)+1 \\ =2(49)+1 \\ =98+1 \\ =99 \end{gathered}\)Which is what we are looking for.
Match the inequality to the graph of its solution. (Write the letter of the multiple choice in lowercase)
A
\(c + 7 \leqslant 3\)
B
\(c - 3 > 1\)
C
\(c - 7 < 3\)
The inequality c - 7 > 3 is matched to the graph of its solution. The correct answer is option C.
As per the shown number line,
Here, the inequality is inclusive (c ≤ 10), and the point at 10 is included, so use a closed circle to mark the point.
An arrow extends to the left of the marked point. This arrow indicates all the values of c that are less than 10.
If the inequality is strict (c < 10), the arrow should be drawn with an open end.
Thus, the inequality c - 7 > 3 is matched to the graph of its solution.
Hence, the correct answer is option C.
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A boy walks 5km due north and then 4km due east. Find the bearing of his current position from the starting point, how far is the boy now from the starting point
morgan is 54inches tall and helps raise the school flag each morning. she casts a 36in shadow while the flagpole she is standing next to casts a shadow the is 90 in long how tall is the flagpole?
Answer:
Step-by-step explanation:
The girl is 54 inches tall.
Her Shadow is 36 inches
The flagpole has a shadow of 90 in long
So set up a proportion
Whose Shadow Shadow Length Actual height
Girl 36 54
Flagpole 90 x
36/90 = 54 / x Cross Mulltiply
36x =90 * 54
36x = 4860 Divide by 36
x = 4860/36
x = 135 inches.
Comment
Do you need the height in feet?
That would be 135/12 = 11.25 feet or 11 feet 3 inches.
On the past two quizzes, a student scored a 75 and 83. Write and solve a compound inequality to find the possible values for the 3rd quiz score that would give her an average between 85 and 90, inclusive.
The possible values for a third quiz score that would give her an average between 85 and 90, inclusive is: 97 ≤ x ≤ 112.
How to determine the average?In Mathematics, the average of these quiz scores can be calculated by using the following formula:
Average = Sum of quiz score/Number of quiz scores
Note: Let the variable q represent the student's score on the third (3rd) quiz.
Substituting the given parameters into the formula, we have the following;
Average = (75 + 83 + q)/3
Average = (158 + q)/3
This ultimately implies that, an average between 85 and 90, inclusive is given by this compound inequality:
85 ≤ (158 + q)/3 ≤ 90
Multiplying all through by 3, we have the following:
255 ≤ (158 + q) ≤ 270
Subtracting 158 from both sides of the inequality, we have the following:
97 ≤ x ≤ 112
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Mandy used the rule “Add 6” to make a pattern. She started with 20 and wrote the next 5 numbers in her pattern.
Which number does NOT belong in Mandy’s pattern?
A. 26
B. 32
C. 38
D. 43
Whoever answers this then they can get Branliest
Answer:
43
Step-by-step explanation:
20 +6 = 26
26 + 6 = 32
32 + 6 = 38
38 + 6 = 44, not 43
Hope this helps!
Answer:
I think it is (D.)43
becuase if you add 6 to 38 it gives you 44
Hope this helps!!!!!!
a water snake in a well is 30 M below the ground level its lights 20 m upward and then slips down 10 M how far it is from the ground level
\( - 30 - + 20 - - 10\)
If the water snake is initially 30 meters below the ground level and then climbs 20 meters upward, it will be 30 - 20 = 10 meters below the ground level. However, if it then slips down 10 meters, it will be 10 + 10 = 20 meters below the ground level.
A building casts a shadow of 30ft.
At the same time, a 6ft person casts a shadow of 4ft.
How tall is the building?
Answer:
45
Step-by-step explanation:
Your teacher needs to purchase some scientific calculators for $25 each and some graphing calculators for $65 each. Let x equal the number of scientific calculators and y equal the number of graphing calculators she buys She can only spend up to $800 for the calculators. Write an inequality that represents the number of each type of calculator she can buy.
The inequality that represents the number of each type of calculator she can buy will be 25x + 65y ≤ 800
Given that teacher needs to purchase some scientific calculators for $25 each and some graphing calculators for $65 each.
Consider that x equal the number of scientific calculators and y equal the number of graphing calculators she buys She can only spend up to $800 for the calculators.
The inequality that represents the situation becomes as;
25x + 65y ≤ 800
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help me please!!!!!!!!
Answer:
First option is correct.
Step-by-step explanation:
Normally, Pete's dad deposits $25 into his bank account every week.
Now, he wants to deposit x extra dollars for 8 weeks. So, the total deposits for these 8 weeks will be:
8*(25 + x)
He wants to keep the total deposits above 500. So
8*(25 + x) > 500
Now we solve the inequality similarly to how we would solve an equality.
8*(25 + x) > 500
200 + 8x > 500
8x > 500 - 200
8x > 300
x > 300/8
x > $37.50
So the first option is correct.
Do 1 and have the same value?
Are 12/15 and 8/10 have the same value
Answer:
Step-by-step explanation:
12=3*2*2
15=5*3
12/15=4/3
8/10=4/5
no, they don't have the same value
b-3+4b=34
Solve equation
Answer:
b = 7.4
Step-by-step explanation:
b - 3 + 4b = 34
combine like terms:
5b - 3 = 34
5b = 37
divide by 5:
b = 7.4
Answer:
b=7.4
Step-by-step explanation:
1. Combine like terms
5b-3=34
5b=37
2. Isolate x value by dividing
b=7.4
can anyone explain how to solve this
Mortgage (monthly)
Amount
$985.64
Cell phone (monthly)
$58.30
Groceries (twice a month
$154.00
Clothing (monthly with 25% job-related) $180.00
Water & electric (monthly)
S128.40
Weekly dinner & movie
$55.00
Property taxes (6 months)
$684.80
Car insurance (guarterly)
$330.00
Your realized income is $2.943.20/month. How much are your fixed expenses each month? How much could you save per month if you take 25% of your discretionary monies and put it in a savings account?
Answer:
To calculate the fixed expenses each month, we need to add up all the monthly expenses:
Mortgage: $985.64
Cell phone: $58.30
Groceries: $154.00 x 2 = $308.00
Clothing (with 25% job-related): $180.00
Water & electric: $128.40
Weekly dinner & movie: $55.00 x 4 = $220.00
Total monthly fixed expenses: $1,880.34
To calculate how much could be saved per month, we need to first calculate the discretionary income:
Realized income: $2,943.20
Fixed expenses: $1,880.34
Discretionary income: $2,943.20 - $1,880.34 = $1,062.86
25% of discretionary income: 0.25 x $1,062.86 = $265.72
Therefore, the amount that could be saved per month by putting 25% of the discretionary income in a savings account is $265.72.
Which has a greater effect on the volume-changing the radius by a given amount or changing the height by the same amount? Why?
Answer: Changing the radius of an object by a given amount has a greater effect on the volume than changing the height by the same amount. The volume of a cylinder is given by the formula V = πr²h, where V is the volume, r is the radius, and h is the height. If we change the radius by a given amount, say x, the new radius would be r+x. Hence, the new volume would be V' = π(r+x)²h = π(r²+2rx+x²)h = V + 2πrxh + πx²h. We can see that the volume change equals 2πrxh + πx²h. The first term is proportional to both the radius and the height, whereas the second term is proportional to the square of the radius and the height. Assuming that the height change is also x, the new volume would be V'' = πr²(h+x) = V + πr²x. We can see that the volume change is proportional to the radius squared and the change in height. Therefore, changing the radius by a given amount has a greater effect on the volume than changing the height by the same amount.
Explain whatos wrong with each of the following simulation designs.
a) A roulette wheel has 38 colored slots - 18 red, 18 black, ard? green. To simulate one spin of the
wheel, let numbers 00 to 18 represent red, 19 to 37 represent black, and 38 to 40 represent green.
There are 19 members from 00 to 18 who do not equal 18.
There are 19 members from 19 to 37 who do not equal 18.
There are 3 members in the age range of 38 to 40, not 2.
Given info,
Explain what is wrong with each of the following simulation designs.
⇒ A roulette wheel has 38 colored slots - 18 red, 18 black members green. To simulate one spin of the wheel, let members 00 to 18 represent red, 19 to 37 represent members and 38 to 40 represent green.
The mistake is;
→ There are 19 member from 00 to 18 which is not 18.
→ There are 19 member from 19 to 37 which is not 18.
→ There are 3 member from 38 to 40 which is not 2.
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Please help by today
Answer:
hmmmmm
Step-by-step explanation:
Answer:
∠3 = 108
Step-by-step explanation:
∠1 + ∠2=180 because a straight line is 180°
∠1=5x+10 and ∠2=9x+2
5x+10 + 9x+2 = 14x+12
14x+12=180
180-12=168
168/14=12
x=12
∠2 = 9x+2 = 110
180-110 = 70
∠4 = 70
∠4 + ∠3 + ∠5 = 180
∠5 = 90 -5x = 30
i messed up the process here lol but the answer is for sure right
Limits of the form lim _h right arrow 0 f(x + h) - f(x)/h occur frequently in calculus. Evaluate this limit for the given value of x and function f. f(x) =x^2, x=-5 The value of the limit is .
As a result, the limit value is 0. This indicates that the derivative of the function f(x) = x² when x = -5 equals zero.
What is function?A function is an equation with just one solution for y for every x. A function produces exactly one output for each input of a certain type. Instead of y, it is usual to call a function f(x) or g(x). f(2) indicates that we should discover our function's value when x equals 2. A function is an equation that depicts the connection between an input x and an output y, with precisely one output for each input. Another name for input is domain, while another one for output is range.
Here,
The limit in question is a definition of the derivative of a function at a point. In this case, we want to evaluate the limit as h approaches 0 of the expression (f(x + h) - f(x)) / h, where f(x) = x² and x = -5.
Substituting the given values, we have:
lim _h right arrow 0 (x² + h²- x²) / h = lim _h right arrow 0 h² / h = lim _h right arrow 0 h = 0
So the value of the limit is 0. This means that the derivative of the function f(x) = x² at the point x = -5 is equal to 0.
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PLEASE HELP ! worth 18 points :)
Using the Law of Cosines Given SAS
Information
Z
Find the value of x to the nearest tenth.
Which of the following equations correctly sets up
the law of cosines to solve for x?
552 - 52 +82-25)(8)· cos(X)
2-52 +82-2(5)(8).cos(559)
O * - (5+8) -2(5)(8).cos(559)
552 - 52 +82-2(5)(8) cos(x)
5
55°
Y
DONE
8
The equations correctly set up the law of cosines to solve for x will be x² = 5² + 8² - 2 (5)·(8) cos 55°. Then the correct option is B.
What is the cosine law?The squared of the size of any solitary side of either a triangle is equal, by the cosine rule, to the total of the squares of the lengths of the other two sides, times by the cosine of something like the angle they are a part of.
Let the triangle ΔABC, then the cosine law is given as,
c² = a² + b² - 2 a·b cos C
From the graph, the measure of the length 'x' is calculated as,
x² = 5² + 8² - 2 (5)·(8) cos 55°
The equations correctly set up the law of cosines to solve for x will be x² = 5² + 8² - 2 (5)·(8) cos 55°. Then the correct option is B.
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Can someone help me with this math problem asap
The absolute value function for this problem is given as follows:
y = |x - 4| - 6.
How to define the absolute value function?An absolute value function of vertex (h,k) is defined as follows:
y = a|x - h| + k.
The coordinates of the vertex of the function are given as follows:
(4, -6).
The slope of 1 determines the leading coefficient a as follows:
a = 1.
Hence the function is given as follows:
y = |x - 4| - 6.
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One positive number is 5 times another number. The difference between the two numbers is 1664,
find the numbers.
Answer:
i don't know i think its 20 in my opnian
Step-by-step explanation:
i don't know sorry
Which of the following statement(s) is (are) true?
I. The set of all second-degree polynomials with the standard operations is a vector space. II. The set of all first-degree polynomial functions 'mx' with the standard operations is a vector space. III. The set of second quadrant vectors with the standard operations is a vector space A) 1 B) II and III C) II and III D) 11
The true statement is; II. Option D
How to determine the correct statementsFrom the information given, we have that;
I. The set of all second-degree polynomials with the standard operations is a vector space
II. The set of all first-degree polynomial functions 'mx' with the standard operations is a vector space
III. The set of second quadrant vectors with the standard operations is a vector space
Note that;
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The LCM of 42, 63, and 84 is
3| 42 , 63 , 84
7| 14 , 21 , 28
1| 2 , 3 , 4
2 × 3 × 4 × 7 × 3 = 504