Answer: 8 units
Step-by-step explanation:
Given: The formula for the circumference of a circle is [tex]C=2\pi r[/tex], where r is the radius and C is the circumference.
To solve equation for r , we divide [tex]2\pi[/tex] on both sides, we get
[tex]r=\dfrac{C}{2\pi}[/tex]
Now, the circumference of the circle = [tex]16\pi \text{units.}[/tex]
Then, [tex]r=\dfrac{16\pi}{2\pi}=8\ \text{units}[/tex]
Hence, Circumference of the circle = 8 units
Decrease £248 by 30 percent
How do i find the area between the two curves
Final answer:
To find the area between two curves, calculate the definite integral of the difference between the two functions over the interval of interest.
Explanation:
To find the area between two curves, you need to calculate the definite integral of the difference between the two functions over the interval of interest. Let's say the two curves are f(x) and g(x), and you want to find the area between them from x = a to x = b. You can write the integral as follows:
Area = ∫(f(x) - g(x)) dx from a to b
Then you can evaluate this integral using integration techniques, such as u-substitution or integration by parts, to find the area between the two curves.
Name an angle complementary to A B C D
At 6:00 a.m., the outside temperature was –14.4⁰. By noon, the outside temperature had dropped 8.1⁰. What was the outside temperature at noon? 6.3⁰ –6.3⁰ 22.5⁰ –22.5⁰
If carmen ran 2 miles and melanie ran 4 miles, who ran farther?
The function for the cost of materials to make a hat is f(x) = one half x + 1, where x is the number of hats. The function for the selling price of those hats is g(f(x)), where g(x) = x + 2. Find the selling price of 10 hats. A. 6 b. 8 c. 10 d. 12
The selling price for 10 hats, calculated by applying the cost function f(x) to find the cost and then the selling price function g(x), is $8.
Explanation:The selling price of 10 hats can be found by first calculating the cost of materials to make those hats using the function f(x) = 0.5x + 1, and then applying the g(f(x)) function to find the selling price, where g(x) = x + 2.
First, we calculate the cost for making 10 hats:
f(10) = 0.5 imes 10 + 1 = 5 + 1 = 6.
Now, we use the selling price function g to calculate the selling price for 10 hats:
g(f(10)) = g(6) = 6 + 2 = 8.
Therefore, the selling price for 10 hats is $8.
The following scatter plot shows the billions of dollars spent by travelers in the United States since 1993.
Write an equation for the line of best fit and then predict how much money travelers will spend in 2008.
A.y=2x+380 travelers will spend about $410 billion in the year 2008.
B.y=2x+320 travelers will spend about $350 billion in the year 2008.
C.y=20x+320 travelers will spend about $620 billion in the year 2008.
D.y=20x+380 travelers will spend about $680 billion in the year 2008.
Answer:
C
Step-by-step explanation:
The list of a certain tool is x dollars. In store A the original selling price of the tool was $50 less than the list price, and the current selling price is 10% less than the original selling price. In store B the original selling price of the tool was 10% less than the list price, and the current selling price is $50 less than the original selling price.
A) Quality A is greater
B) Quality B is greater
C) The two quantities are equal
To compare the selling prices in store A and store B for the tool described:
Let's denote the list price of the tool as x dollars.
In Store A:
- Original selling price = List price - $50
- Current selling price = 90% of the original selling price
In Store B:
- Original selling price = 90% of the list price
- Current selling price = Original selling price - $50
Now, we can calculate the selling prices for both stores and compare:
For Store A:
Original selling price in Store A = x - 50
Current selling price in Store A = 0.9(x - 50)
For Store B:
Original selling price in Store B = 0.9x
Current selling price in Store B = 0.9x - 50
To determine which quantity is greater, we need to compare the expressions for the current selling prices in both stores. We will simplify the expressions to make the comparison easier.
Store A:
0.9(x - 50) = 0.9x - 45
Store B:
0.9x - 50
Comparing the simplified expressions, we see that:
0.9x - 45 is greater than 0.9x - 50
Therefore, Store A has a greater current selling price for the tool compared to Store B.
So, the correct answer is:
A) Quality A is greater.
Solve this equation
p+2=-6
Name the ordered pair that point b represents in the graph
What is 125 in exponential form?
How do I write an equation for: 7, 7.5, 7.75, 7.875, ...? Do I use the geometric sequence formula or recursion formula? Please help! ...?
Elena has 12 pieces of banana bread. She gives an equal amount of banana bread to five friends. How many pieces of banana bread does she give each friend?
Answer:
[tex]2 \frac{2}{5}[/tex]
Step-by-step explanation:
Try dividing 12 and 5. What a surprise it doesn't work. 5×2=10. 12÷5=10 r2. r2=[tex]\frac{2}{5}[/tex]. 2+[tex]\frac{2}{5}[/tex]=[tex]2 \frac{2}{5}[/tex].
Translate the phrase into a math expression.twenty divided by the sum of 4 and 1.
How to solve -13=5(1 4m)-2m?
Identify the lateral area and surface area of a regular triangular pyramid with base edge length 14 cm and slant height 15 cm.
I already have the lateral area figured out (315), I don't understand how to get the surface area. XP I always get it wrong.
Answer:
315 cm<2 399.9 cm<2
Step-by-step explanation:
Answer:
L = 315 cm2 ; S = 399.9 cm2
Step-by-step explanation:
Lucky guess on my quiz!
How much of the circle is shaded? Write your answer as a fraction in simplest form.
Answer:
[tex]13/28[/tex]
Step-by-step explanation:
Let
x-----> the shaded area
we know that
[tex]x+\frac{1}{4}+\frac{2}{7}=1[/tex]
Because the complete circle represent the [tex]100\%[/tex]
and
[tex]100\%=100/100=1[/tex]
solve for x
Multiply by [tex]28[/tex] both sides
[tex]28x+7+8=28[/tex]
[tex]28x=28-15[/tex]
[tex]28x=13[/tex]
Divide by [tex]28[/tex] both sides
[tex]x=13/28[/tex] ----> fraction irreducible
24 students will be divided into 4 equal-sized teams. Each student will count off, beginning with the number 1 as the first team. If Nate is the 11th student to count off, to which team number will he be assigned?
x ^{sqrt{logx}}=10^{8} ...?
What is the product for 38 and 40 in math?
The sum of two positive integers, a and b, is at least 30. The difference of the two integers is at least 10. If b is the greater integer, which system of inequalities could represent the values of a and b?
A. a + b ≥ 30 b ≥ a + 10
B.a + b ≥ 30 b ≤ a – 10
c. a + b ≤ 30 b ≥ a + 10
D. a + b ≤ 30 b ≤ a – 10
Option A, with inequalities a + b ≥ 30 and b ≥ a + 10, correctly describes these conditions.
We are given that the sum of two positive integers, a and b, where b is greater, is at least 30, which can be represented as a + b ≥ 30.
The difference between the two integers is also at least 10, and since b is the greater integer, this relationship is given by b - a ≥ 10.
The correct system of inequalities that represents these conditions is Option A:
a + b ≥ 30
b ≥ a + 10
Option B is incorrect because it suggests b is less than or equal to a - 10, which doesn't make sense in this context since b is the greater integer.
Options C and D are incorrect because they suggest that the sum of a and b is less than or equal to 30, which contradicts the given that the sum is at least 30.
I'm studying for a test, and I can't seem to remember how to find missing coordinates. Here's one example of the question,
Fill in the other coordinate for the line 3x-5y=2 (2,) I need to find Y. I thought that my answer was 4/5 (4over5) I did, 3 times 2, (6) -6 on both sides, so then I had -5y = -4. So I divided both by 5. . . But that doesn't sound right to me! Anyone know what I'm doing wrong? Or right? Thanks!
Here's another one by the way . . Y = 3x + 2 (1,)
help me plz
The measure of an angle formed by ____________ is half the sum of the measures of the intercepted arcs.
A. intersecting radii
B. intersecting chords
C. a chord and a radius
Answer: B. intersecting chords
Step-by-step explanation:
The intercepted arc is the arc which is inside the inscribed angle and whose endpoints are on the angle.When two chords intersect then inscribed angles are formed.
We know that the inscribed angle theorem tells that the measure of an inscribed angle is half the measure of its intercepted arc.
The measure of an angle formed by intersecting chords is half the sum of the measures of the intercepted arcs.
In the situation, simple interest is calculated yearly. How much interest was earned?
Principal: $12,000; Time: 3 years; Interest rate: 15%; Interest: ?
A$1800
B$5400
C$12,000
D$17,400
E$36,000
Shannon has a recipe for fruit punch that makes 12 quarts of punch. how many 3/4 quart servings will the recipe make
16 more than eight of a certain number is twenty four more than 6 times of thatnumber.
How do you write 1/30 in decimal form?
1/30 in decimal form can be rounded to 0.033.
To convert the fraction 1/30 into decimal form, you simply divide the numerator (1) by the denominator (30). This can be done using a calculator or by manual division.
1 ÷ 30 = 0.03333... (repeating)
So, 1/30 as a decimal is approximately 0.033 when rounded to three decimal places.
Here are the steps to understand it better:
Set up the division: 1 divided by 30.Perform the division: 1.000... ÷ 30 = 0.03333... (the 3s repeat indefinitely).Round the result if needed for simplification.Which expression is a factor of 2xy + 6x – 3y – 9?
2x – 3
2y + 3
x – 2
y – 3
...?
Answer:
(2x-3) is the answer.
Step-by-step explanation:
The given expression is :
[tex]2xy+6x-3y-9[/tex]
Grouping these terms we get-
[tex]2x(y+3)-3(y+3)[/tex]
So, the factors are :
[tex](2x-3)(y+3)[/tex]
Hence, out of the given options (2x-3) is the answer.
And he other factor is (y+3) that is not mentioned in the options.
Final answer:
The factor of the expression 2xy + 6x - 3y - 9 is 2x - 3, which is found by factoring the expression by grouping.
Explanation:
The expression given is 2xy + 6x − 3y − 9. To determine which expression is a factor of it, we can attempt factoring by grouping. Grouping the terms as (2xy + 6x) and (− 3y − 9) and factoring out the common factors from each group gives us:
2x(y + 3)−3(y + 3)We can see that (y + 3) is a common factor between the two groups. Factoring this out, we get:
(2x − 3)(y + 3)
This shows that 2x − 3 is a factor of the given expression.
Solve the equation?
13 +w/7 = –18 ...?
The solution of the equation [tex]13+\frac{w}{7}=-18[/tex] is [tex]\boxed{w=-217}[/tex].
Further explanation:
Given:
The equation is [tex]13+\frac{w}{7}=-18[/tex].
Calculation:
Method (1)
The given equation is as follows:
[tex]\boxed{13+\dfrac{w}{7}=-18}[/tex]
The above equation is a linear equation that has one degree.
The equation with one variable can be solved by moving all terms in to the one side and simplify the equation for the value of variable.
Subtract [tex]13[/tex] on both sides in the equation (1) to obtain the value of [tex]w[/tex] as follows,
[tex]\begin{aligned}13+\dfrac{w}{7}-13&=-18-13\\13-13+\dfrac{w}{7}&=-31\\ \dfrac{w}{7}&=-31\end{aligned}[/tex]
Now, multiply [tex]7[/tex] on both sides of the above equation as,
[tex]\begin{aligned}7\times \dfrac{w}{7}&=-31\times7\\w&=-217\end{aligned}[/tex]
Therefore, the value of [tex]w[/tex] is [tex]-217[/tex].
Method (2)
To obtain the solution of the equation (1), take least common multiple of the denominator of the left hand side of the equation as,
[tex]\begin{aligned}13+\dfrac{w}{7}&=-18\\ \dfrac{(13\times7)+w}{7}&=-18\\ \dfrac{91+w}{7}&=-18\end{aligned}[/tex]
Now, multiply by [tex]7[/tex] on both sides of the above equation to obtain the value of [tex]w[/tex] as follows,
[tex]\begin{aligned}7\times\left(\dfrac{91+w}{7}\right)&=7\times(-18)\\91+w&=-126\end{aligned}[/tex]
Subtract [tex]91[/tex] on both sides of the above equation as follows,
[tex]\begin{aligned}91+w-91&=-126-91\\w&=-217\end{aligned}[/tex]
Therefore, the value of [tex]w[/tex] is [tex]-217[/tex].
Thus, the solution of the equation [tex]13+\dfrac{w}{7}=-18[/tex] is [tex]\boxed{w=-217}[/tex].
Learn more:
1. Learn more about equations https://brainly.com/question/1473992
2. A problem on line https://brainly.com/question/1575090
3. A problem on function https://brainly.com/question/1435353
Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Linear equations
Keywords: Equation, 13+(w/7)=-18, variables, subtract, linear equations, one degree, multiply least common multiple, linear equation, mathematics.
If CDFG is a kite, find the measure of Angle D.
a. 124
b. 120
c. 118
d. 122
Without additional details about the kite CDFG, such as angle measures or side lengths, it is impossible to provide an exact measure for Angle D.
Explanation:The question asks to find the measure of angle D in a kite named CDFG. Without additional information such as angle measures or side lengths, it is impossible to determine the exact measure of Angle D. However, we know in a kite, there are two pairs of adjacent sides that are equal, and one pair of opposite angles (the angles between the unequal sides) are equal. Typically, the diagonals of a kite are perpendicular, and one of the diagonals bisects the other. This information still does not provide enough context to solve for the measure of angle D without more specific details about the lengths of the sides or measures of other angles.