Answer:
31.
Step-by-step explanation:
π(18)l = 558π
l = 558/18 = 31
Therefore the answer is 31.
Find the area and the circumference of a circle with diameter 8cmUse 3.14 for n , and do not round your answer
ANSWER:
Circumference of the circle is 25.12 centimeters
Area of the circle is 50.24 square centimeters
STEP-BY-STEP EXPLANATION:
We have that the formula for the circumference and the area are the following:
\(\begin{gathered} c=2\cdot\pi\cdot r \\ A=\pi\cdot r^2 \end{gathered}\)The radius is equivalent to half the diameter, therefore, we replace:
\(\begin{gathered} r=\frac{d}{2}=\frac{8}{2}=4 \\ \text{ replacing} \\ c=2\cdot3.14\cdot4=25.12\text{ cm} \\ A=3.14\cdot4^2=50.24cm^2 \end{gathered}\)the circumference of the circle is 25.12 cm and the area is equal to 50.24 square centimeters
Jesse has a $30 gift card to a sandwich shop. Regular sandwiches cost $4, and large sandwiches cost $6. Let x represent the number of regular sandwiches Jesse buys and y represent the number of large sandwiches he buys. Suppose Jesse buys 1 regular sandwich and 2 large sandwiches with the gift card. How many more of each size sandwich do you think Jesse should buy
Answer:
2x + y
Step-by-step explanation:
jesse uses a total of 16 dollars, and has 14 dollars remaining. if you're talking about the best deal, that would be 1y + 2x
If Jesse buys 1 regular sandwich and 2 large sandwiches with the gift card with $30 gift card. She is left with $14 from which she can buy 1 large sandwich and 2 Regular sandwiches
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Jesse has a $30 gift card to a sandwich shop.
The cost of Regular sandwiche is $4
The cost of large sandwiche is $6
Let x represent the number of regular sandwiches Jesse buys and y represent the number of large sandwiches he buys.
Suppose Jesse buys 1 regular sandwich and 2 large sandwiches with the gift card.
x+2y
(4)+2(6)=4+12=16
jesse uses a total of 16 dollars
She left with 14 dollars.
She can take 1 large sandwich and 2 Regular sandwiches
2x + y
Hence Jesse can buy more of 1 large sandwich and 2 Regular sandwiches
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The last statement of a two column proof is always what you are asked to Prove.
Select the correct response:
True
False
The given statement is true.
Mary has a stack of cards, 8 purple, 6 orange, 5 red and 7 black. If she has to choose a card, how many possible outcomes are there?
Answer: The amount of outcomes is 26 because you have 26 cards which are all possible to draw so they are the outcomes.
Step-by-step explanation:
Basic arithmetic really. 8+6+5+7 = 26. The color was just added to confuse u.
A flagpole casts a shadow that is 36 feet long, while a yardstick casts a shadow of 48 inches long. About how tall is the flagpole?
Answer:
27 ft
Step-by-step explanation:
The object is 3/4 times as tall as the shadow it makes. (1 yd/48" = 3'/4') So, the flagpole will be 3/4 times 36 ft, or 27 ft high.
The flagpole is 27 ft tall.
Write an equation of the line that is parallel to y = 1/2x + 3 and passes through the point (2,-4). A) y = 1/2x-4 - 15 B) y = -2x-4 + 15 C) y = -2x-5 D) y = 1/2x - 5
Answer:
D
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = \(\frac{1}{2}\) x + 3 ← is in slope- intercept form
with slope m = \(\frac{1}{2}\)
• Parallel lines have equal slopes , then
y = \(\frac{1}{2}\) x + c ← is the partial equation
to find c substitute (2, - 4 ) into the partial equation
- 4 = \(\frac{1}{2}\) (2) + c = 1 + c ( subtract 1 from both sides )
- 5 = c
y = \(\frac{1}{2}\) x - 5 ← equation of parallel line
factoring
ax²+bx+c
after factoring
out a moromial
The presence of the coefficient "a" in ax^2 + bx + c requires that we look for numbers that have a product of ac
Here we have to determine the difference
From the question, we have the following parameters that can be used in our computation:
ax^2 + bx +c and x^2 + bx +c
The presence of the coefficient "a" in the first expression makes a difference in the factoring process.
When factoring x^2 + bx + c, we are looking for two numbers that multiply to give c and add up to b.
For ax^2 + bx +c , we look for the product of ac and sum of b
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Given that p(x)=2(5−x)2+1 , what is the value of p(-4)? Responses
Answer:
37
Step-by-step explanation:
x=-4
=2(5-(-4)2+1
=2(5+4)2+1
=2(9)2+1
=18(2)+1
=36+1
=37
(EZ 25 POINTS) What is the measure of the smallest angle in the figure? The figure is not drawn to scale?
Answer:
the measure smallest angle in the figure is 24 degrees.
Answer:
The measure of the smallest angle is 24 degrees.
Hope this helps!!!
PLZ mark brainliest
The table below shows how much Joe earns, y, after working x hours. Joe’s Earnings Hours worked Money earned 4 $30 10 $75 12 $90 22 $165 The relationship between money earned and hours worked is linear. Joe computes the slope between (4, 30) and (12, 90), then computes the slope between (4, 30) and (10, 75). How do the two slopes compare?
Answer:
c
Step-by-step explanation:
100% on edge
Seven subtracted from seven times a number is 147. What is the number?
Answer:
I answered your duplicate question. Make sure to check out the answer, and I hope it helps!
Marco bought 12 roses for
$48. What was the original
cost of EACH rose before
the discount? Set up an
equation and solve to
answer this question
Answer:
$0.25 cents.
Step-by-step explanation:
12 divided by 48 equals to 0.25
In the figure, m∠4=74°
and m∠3=43°
. Find m∠1
and m∠2
.
Answer:
Based on the information given, we know that angles 3 and 4 are supplementary (they add up to 180 degrees) and angles 2 and 4 are vertical angles (they are congruent). Therefore, we can write:
m∠4 + m∠3 = 180 (since angles 3 and 4 are supplementary)
m∠4 = m∠2 (since angles 2 and 4 are vertical angles)
Substituting m∠4 = m∠2 into the first equation, we get:
m∠2 + m∠3 = 180
Now we can solve for m∠2 and m∠3:
m∠3 = 43 (given)
m∠2 = 180 - m∠3 = 180 - 43 = 137
Since angles 1 and 2 are also supplementary, we can find m∠1 by subtracting m∠2 from 180:
m∠1 = 180 - m∠2 = 180 - 137 = 43
Therefore, m∠1 = 43 degrees and m∠2 = 137 degrees.
Can somebody help me please
Answer:
\( \frac{34.25}{6.5} \)
which of the following functions grows fastest? group of answer choices n log n n log n n / log n n - log n n log n
In the following option n log n seems to grow the fastest amongst all according to the size of inputs.
In computer science and mathematics, the running time or complexity of an algorithm is often measured in terms of the size of the input, usually denoted by n. The notation O(f(n)) is used to describe the upper bound on the running time of an algorithm, where f(n) is a function of n.
In the context of comparing growth rates of functions, we usually only consider the highest-degree term of the function. For example, we would say that f(n) = n^2 + n grows as O(n^2), because n^2 grows much faster than n and dominates the running time as n grows larger.
Now, let's consider the functions n, n / log n, n - log n, n log n, and n^2. As n grows, each of these functions grows at a different rate.
1. n grows linearly with n, so it takes more time as the size of the input grows.
2. n / log n grows faster than n, but slower than n log n. This is because logarithms grow much slower than linear functions, but as n grows larger, the difference between n and log n becomes larger, so n / log n grows faster.
3. n - log n grows slower than n and n / log n, because log n grows much slower than n, so as n grows larger, n - log n becomes closer to n.
4. n log n grows faster than n, n / log n, and n - log n, but slower than n^2. This is because logarithms grow much slower than linear functions, but as n grows larger, the difference between n and log n becomes larger, so n log n grows faster.
5.n^2 grows much faster than n, n / log n, n - log n, and n log n, so as n grows larger, n^2 becomes much larger than any of these functions.
So, of the options given, n log n grows the fastest, meaning that an algorithm that takes time proportional to n log n will become slower faster as the size of the input grows than an algorithm that takes time proportional to n, n / log n, or n - log n.
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Help me pleaseeeeeeeeeee
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Match each multiplication expression on the left with the best estimate of its product on the right. (80)(30) = 2,400 29.3 x 5.9 81.4 x 32.1 32.9 x 4.81 46.7 x 31.7 59.3 x 3.57 (30)(6) = 180 (30)(5) = 150 (60)(4) = 240 (50)(30) = 1,500 Done
Here is the final matching of multiplication expressions with their estimated products:
(80)(30) = 2,400
(30)(6) = 180
(30)(5) = 150
(60)(4) = 240
(50)(30) = 1,500
29.3 x 5.9 ≈ 173
81.4 x 32.1 ≈ 2,618
32.9 x 4.81 ≈ 158
46.7 x 31.7 ≈ 1,479
59.3 x 3.57 ≈ 212
Match each multiplication expression on the left with the best estimate of its product on the right:
(80)(30) = 2,400
(30)(6) = 180
(30)(5) = 150
(60)(4) = 240
(50)(30) = 1,500
29.3 x 5.9
81.4 x 32.1
32.9 x 4.81
46.7 x 31.7
59.3 x 3.57
Matching the expressions with their estimated products:
(80)(30) = 2,400
(30)(6) = 180
(30)(5) = 150
(60)(4) = 240
(50)(30) = 1,500
Estimates for the remaining expressions:
29.3 x 5.9 ≈ 173.27
81.4 x 32.1 ≈ 2,612.94
32.9 x 4.81 ≈ 158.05
46.7 x 31.7 ≈ 1,480.39
59.3 x 3.57 ≈ 211.46
Matching the expressions with their estimated products:
(80)(30) = 2,400
(30)(6) = 180
(30)(5) = 150
(60)(4) = 240
(50)(30) = 1,500
29.3 x 5.9 ≈ 173.27
81.4 x 32.1 ≈ 2,612.94
32.9 x 4.81 ≈ 158.05
46.7 x 31.7 ≈ 1,480.39
59.3 x 3.57 ≈ 211.46
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Students at two high schools were asked about their plans after graduation. The table displays the results for 300 students at Henderson High School. The bar graph displays the results for 300 students at Johnson High School. Which Statement about the results from Henderson High School and johnson high school must be true?
Armed force and other for Henderson high school is greater than
Johnson High School.
The mode for each school is college.
Options F and G are the correct answer.
We have,
The number of students in Henderson High School.
Work = 96
College = 114
Armed forced = 48
Other = 42
The number of students in Johnson High School.
Work = 30
College = 40
Armed forced = 15
Other = 15
From the information,
The number of students in Work for Henderson High School is greater than Johnson High School.
Now,
Henderson High School:
Armed force and other = 48 + 42 = 90
Mode = college
Johnson High School.
Armed force and other = 15 + 15 = 30
Mode = college
Thus,
Armed force and other for Henderson high school is greater than
Johnson High School.
The mode for each school is college.
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how many like terms are in the expression 4j^2 +3j^2-9j^2
Answer: 16j^3+2
Step-by-step explanation:
Julie thinks this will mean the prices will be reduced to $0 after the four reductions because 4 x
25% = 100%.
Explain why Julie is wrong
Answer:
4x25/100=1
Step-by-step explanation:
How I came up with it
4÷100=25
25÷25=1
Julie will only get a 1% discount
Hope it helps
Plzz tell me if I am correct
NO LINKS OR Else I WELL REPORT
Answer:
Yes I guess. You are right
A bank is reviewing its risk management policies with regards to mortgages. To minimize the risk of lending, the bank wants to compare the typical mortgage owed by their clients against other homebuyers. The average mortgage owed by Americans is $306,500, with a standard deviation of $24,500. Suppose a random sample of 150 Americans is selected. Identify each of the following, rounding your answers to the nearest cent when appropriate:
1. $mu=?
2. $sigma=?
3. $=n=$
4. $mu_{overlinex}=$x=?
5. $sigma_{overlinex}=$x=?
Answer:
1. \($ \mu = \$306,500 $\)
2. \(\sigma = \$24,500\)
3. \(n = 150\)
4. \($ \mu_{x}= \mu = \$306,500 $\)
5. \(\sigma_x = \$ 2,000 \\\\\)
Step-by-step explanation:
The average mortgage owed by Americans is $306,500, with a standard deviation of $24,500.
From the above information, we know that,
The population mean is
\($ \mu = \$306,500 $\)
The population standard deviation is
\(\sigma = \$24,500\)
Suppose a random sample of 150 Americans is selected
\(n = 150\)
Since the sample size is quite large then according to the central limit theorem, the sample mean is approximately normally distributed.
The sample mean would be the same as the population mean that is
\($ \mu_{x}= \mu = \$306,500 $\)
The sample standard deviation is given by
\(\sigma_x = \frac{\sigma}{\sqrt{n} }\)
Where \(\sigma\) is the population standard deviation and n is the sample size.
\(\sigma_x = \frac{24,500}{\sqrt{150} } \\\\\sigma_x = \$ 2,000 \\\\\)
Therefore, the required parameters are:
1. \($ \mu = \$306,500 $\)
2. \(\sigma = \$24,500\)
3. \(n = 150\)
4. \($ \mu_{x}= \mu = \$306,500 $\)
5. \(\sigma_x = \$ 2,000 \\\\\)
There are three consecutive integers such as the sum of one-half of the smallest and the largest is 1 more than the other integer. Find the largest integer
The largest number of all three consecutive integers as required to be determined from the task content is; 2.
What is the largest number of all consecutive Integers?It follows from the task content that the number which is largest among the integers is to be determined.
Let the smallest number be x so that the other two consecutive integers are; x + 1 and x + 2.
Hence, it follows from the task statement that;
½x + x + 2 = x + 1 + 1
3/2x + 2 = x + 2
½x = 0
x = 0.
Hence, the largest integer as required to be determined is; x + 2 = 0 + 2 = 2.
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What is the perimeter of the rectangle in the coordinate plane?
14 units
28 units
36 units
45 units
Answer:
45 units^2
Step-by-step explanation:
W x H = area
9 x 5 = 45 units^2
Answer:
28 units
Step-by-step explanation:
Length (l) = 9 units
Breadth (b) = 5 units
Perimeter of the rectangle will be,
→ 2(l + b)
→ 2(9 + 5)
→ 2 × 14
→ 28 units
Hence, the perimeter is 28 units.
What is the coefficient of x after simplifying the expression?
7y + 4x + 4 - 2x +8
Answer:
The coefficient of x is 2.
Step-by-step explanation:
1) Add the numbers
7y + 4x + 4 - 2x + 8
7y + 4x + 12 - 2x
2) Combine like terms
7y + 4x + 12 - 2x
7y + 2x + 12
3) Rearrange items
7y + 2x + 12
2x + 7y + 12
Find the solution for a 2x2 matrix A:
[4 4
0 1] to the nth power = [ ]
Answer:
Step-by-step explanation:
Answer:
A^n = [4^n 4^n
0 1]
Step-by-step explanation:
To find the solution for the 2x2 matrix A:
[4 4
0 1] to the nth power = [ ]
We can use matrix multiplication to raise A to the nth power. Let's start with n = 1:
A^1 = [4 4
0 1]
Now, let's solve for A^2 by multiplying A^1 by A:
A^2 = A x A^1
= [4 4 [4 4
0 1] 0 1]
= [16 16
0 1]
Next, let's solve for A^3:
A^3 = A x A^2
= [4 4 [16 16
0 1] 0 1]
= [64 64
0 1]
We can see a pattern emerging:
A^1 = [4 4
0 1]
A^2 = [16 16
0 1]
A^3 = [64 64
0 1]
We can generalize this pattern as follows:
A^n = [4^n 4^n
0 1]
Therefore, the solution for the 2x2 matrix A raised to the nth power is:
A^n = [4^n 4^n
0 1]
What is the answer to this?
Answer:
B
Step-by-step explanation:
x + 3y = 2 → (1)
4x - 3y = 23 → (2)
adding (1) and (2) term by term will eliminate y
(x + 4x) + (3y - 3y) = 2 + 23
5x + 0 = 25
5x = 25 ( divide both sides by 5 )
x = 5
Write the slope-intercept form of the equation for each line.
Step-by-step explanation:
points on the line: (4, -2) & (-5, 3)
gradient of the line = -5/9
general equation for all straight lines: y = mx + c
substitute one coordinate and the gradient into the equation. 3 = (-5/9)(-5) + c
therefore, c = 2/9
so the general equation is y = (-5/9)x + 2/9
4. A recipe says that 2 3/5 cups of flour are needed to make 1 batch of biscuits. How many cups of flour are needed to make 2 batches of biscuits? O 43/5 O 51/5 O 26/10 O 6
What do I do?
Brief Calculus Question: Find Each limit (if it exist)
For the given function the value of limits are
\(\lim _{x\to 0^-}\left(f\left(x\right)\right)\) is 5
\(\lim _{x\to 0^+}\left(f\left(x\right)\right)\) is 0
\(\lim _{x\to 0}\left x^2+5\)is 5
The given function is f(x)= x²+5, when x≤0
f(x)=2x when x>0
\(\lim _{x\to 0^-}\left(f\left(x\right)\right)\)
Which is \(\lim _{x\to 0^-}\left x^2+5\)
The given limit is a left hand limit as there is minus in the limits
When we apply x as 0 we get the value 5
Now \(\lim _{x\to 0^+}\left(f\left(x\right)\right)\)
So \(\lim _{x\to 0^+}\left 2x\)
The given limit is a right hand limit as there is positive in the limits
When we apply x as 0 we get 0
Now \(\lim _{x\to 0}\left(f\left(x\right)\right)\)
Which is \(\lim _{x\to 0}\left x^2+5\)
We get 5
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