The equation is 4(n - 7) = 88 and the value of n is 29.
What is an Equation?An equation basically means a mathematical statement including variables and operator that shows that two expressions are equal. Any equation can be solved using PEMDAS rule. where P stands for Parenthesis, E stands for Exponents, D stand for Divide, M for Multiplication, A for Addition and S for Subtraction.
If the number n is decreased by 7, that means n - 7.
Then the result is multiplied by 4, so 4(n - 7).
The product is equal to 88, so the equation is,
4(n - 7) = 88
Now, solving the equation
4(n - 7) = 88
4n - 28 = 88
4n = 116
n = 29
Therefore, the equation is 4(n - 7) = 88 and the value of n is 29.
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Help pwease. :(
How many negative integers m satisfy the inequality 3/m, <= -2/7
Which expression is equivalent to this polynomial? 4x2 + 27
answer:
I think A is the correct answer
In a recent survey of 1,500 people who owned smartphones, 627 use more than 5 gigabytes of data each month. What percent of people use more than 5 gigabytes of data each month? (Round your answers to the nearest tenth of a percent.)
Answer:
%41.8 or 0.418
Step-by-step explanation:
I didn't know how you wanted the answer so there.
To get the answer you divide 627 by 1500 to get 0.418 then multiply that by 100 to get your percent.
hope this helps. . .
have a good day. UwU
Answer:
41.8%
Step-by-step explanation:
(627/1500) * 100 = 41.8
While calculating percentage for such questions, the total always is the denominator, while 'to be found percentage number' is the numerator.
Hope it helps!
Please help and leave an explanation. I am struggling with radicals and exponents.
The radical form of the given expression \((3^\frac{2}{3})^\frac{1}{6}\) is \(\sqrt[9]{3}\). So the option B is correct.
The given expression is \((3^\frac{2}{3})^\frac{1}{6}\).
We have to express the given expression with a rational exponent as a radical expression.
As we can see that in the given expression have two power.
We firstly solve their power.
We using the Law of Power of a Power.
In this law, if any variable have a two power as \((a^m)^n\) so their have multiplication relation between their power.
So \((a^m)^n=a^{mn}\)
Now we solving the given expression using that rule.
The expression is \((3^\frac{2}{3})^\frac{1}{6}\).
Simplifying the power first.
\((3^\frac{2}{3})^\frac{1}{6}=(3)^{\frac{2}{3}\times\frac{1}{6}}\)
Now simplifying
\((3^\frac{2}{3})^\frac{1}{6}=(3)^{\frac{2}{18}}\)
\((3^\frac{2}{3})^\frac{1}{6}=(3)^{\frac{1}{9}\)
Since the power is \(\frac{1}{9}\) which means variable \(3\) have in radical.
Now expressing the simplified variable in the form of radical and the power of radical should be \(9\).
\((3^\frac{2}{3})^\frac{1}{6}=\sqrt[9]{3}\)
Hence, the radical form of the given expression \((3^\frac{2}{3})^\frac{1}{6}\) is \(\sqrt[9]{3}\). So the option B is correct.
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equation to represent the relationship
x 18 12 21 27
y 6 4 7 9
The equation which represent the relationship between x and y is x = 3y.
Given that:-
x 18 12 21 27
y 6 4 7 9
We can see that,
When x = 18, y = 6
Hence, 18 = 3*6
Hence,
x = 3y
Similarly,
When x = 12, y = 4
Hence, 12 = 3*4
Hence,
x = 3y
When x = 21, y = 7
Hence, 21 = 3*7
Hence,
x = 3y
When x = 27, y = 9
Hence, 27 = 3*9
Hence,
x = 3y
Hence, by observing all the data given in the question, we can say that,
x = 3y
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Write the expression and sum of the fraction strip model below.
Do not reduce your answer to lowest terms.
111111
121212121212
1111111
12121
Total =
21212
+111
121212
Answer:
here is answer
Step-by-step explanation:
To represent the given fraction strip model, we'll break it down into individual fractions and then sum them up.
The expression and sum of the fraction strip model are as follows:
Expression:
1/1 + 1/2 + 1/1 + 1/2 + 1/1 + 1/1 + 1/1 + 1/2 + 1/1 + 1/2 + 1/1 + 1/2 + 1/1 + 1/2 + 1/1 + 1/1 + 1/1 + 1/2 + 1/1 + 1/2 + 1/1 + 1/1 + 1/1 + 1/2 + 1/1 + 1/1 + 1/1 + 1/1 + 1/1 + 1/2 + 1/1 + 1/2 + 1/1 + 1/1 + 1/1 + 1/2 + 1/1 + 1/1 + 1/2 + 1/1 + 1/2 + 1/1 + 1/2
Sum:
111111/1 + 121212121212/2 + 1111111/1 + 12121/2 + 21212/1 + 111/1 + 121212/2
To calculate the total, we need to add these fractions together:
Total = 111111/1 + 121212121212/2 + 1111111/1 + 12121/2 + 21212/1 + 111/1 + 121212/2
Please note that this is the expression and sum without reducing the fractions to their lowest terms, as requested.
15)A customer wants to put in a concrete driveway that is 10"" thick. How much concrete would it take to pour a driveway that measures 18’ by 42’? Express your answer in cubic yards
It would take approximately 28 cubic yards of concrete to pour the driveway. To calculate the volume of concrete needed for a driveway with , we need to convert the measurements to yards.
Given:
Thickness of the driveway = 10 inches
Length of the driveway = 18 feet
Width of the driveway = 42 feet
Convert the dimensions to the same unit:
Length of the driveway = 18 feet = 18 * 12 inches = 216 inches
Width of the driveway = 42 feet = 42 * 12 inches = 504 inches
Thickness of the driveway = 10 inches
Calculate the volume of the driveway:
Volume = Length * Width * Thickness
Volume = 216 inches * 504 inches * 10 inches
Convert the volume to cubic yards:
Since 1 cubic yard is equal to 27 cubic feet, we divide the volume by 27 to get the result in cubic yards:
Volume (in cubic yards) = (216 inches * 504 inches * 10 inches) / (12 inches * 12 inches * 27)
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Marie made 3 dozen cookies. She needs to put them into equal groups so that the number of groups is at least 4 but less than 10. What are all the possible equal-size groups she can make with all the cookies?
Answer:
4 groups
Step-by-step explanation:
3*12= 36
36/4= 9
cual es la suma y resta de este monomio: a + b - 3a - 5b
Answer:
a+b-3a-5b
collect like terms
-3a+a-5b+b
-2a-4b
To win a carnival game, you have to shoot a stream of water into a clown's mouth. the clown face is painted on a rectangular piece of wood that measures 16 inches by 12 inches. the clown's mouth is a circle with a diameter of 3 inch. what is the probability that your water will hit the clown's mouth?
write the probability as a percentage, rounded to the nearest tenth.
The probability will be 0.037 or 3.7% when it is rounded to the nearest tenth.
To calculate the probability of hitting the clown's mouth, we need to compare the area of the clown's mouth to the total area of the rectangular wood piece.
The area of the clown's mouth can be found using the formula for the area of a circle: A = π * (r^2), where r is the radius. In this case, the diameter is given as 3 inches, so the radius is 1.5 inches.
Plugging the values into the formula, we get A = π * (1.5^2) = 7.065 square inches. The total area of the rectangular wood piece is 16 inches * 12 inches = 192 square inches.
Therefore, the probability of hitting the clown's mouth is 7.065 / 192 ≈ 0.0367, which rounds to 0.037 or 3.7% when expressed as a percentage rounded to the nearest tenth.
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A triangular shaped price of paper has an area of 1296 and a base of 6 find the height
Answer: 432
Step-by-step explanation:
The formula for the area of a triangle:
\(A=\) \(\frac{H*B}{2}\)
Substitute area and base:
\(1296 = \frac{H*6}{2}\)
Multiply by the denominator to eliminate the fraction:
\(2*1296 = \frac{H*6}{2} *2\\\)
\(2592=H*6\)
Inverse operations to isolate the variable:
\(\frac{2592}{6} =H\)
\(H = 432\)
Height is 432
An investor has an account with stock from two different companies. Last year, her stock in Company A was worth $580 and her stock in Company B was worth $5950. The stock in Company A has increased 5% since last year and the stock in Company B has increased 18%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary). plz dont do for points do to help meeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
I think it’s 7.8 repeating
Step-by-step explanation:
plz help ill mark you. IF YOU ANSWER THIS ILL GIVE YOU 100 POINTS
Answer:
hii
Step-by-step explanation:
Answer:
Karina is 58 1/8 jane is 59 13/40
Step-by-step explanation:
What will be -4,3 when it's moved left 4 units and up 3 units
Answer:
im prety sure it is 4,-3
Step-by-step explanation:
Answer:
(-8, 6)
Step-by-step explanation:
Left on the coordinate plane would change the x-axis value, so -4 -4 would be -8. Then up 3 would mean 3 + 3 to change the y-axis. So (-8, 6).
If a sample of 64 golfers is taken from a population of 190 golfers, the
sample mean, X, is the mean of how many golfers' scores?
A. 64
B. Neither 64 nor 190
C. 190
D. Both 64 and 190
SUBMIT
Answer:
64
Step-by-step explanation:
ITSSSS 64!!
g A student council consists of 15 students. (a) How many ways can a committee of five be selected from the membership of the council
There are 3,003 ways to select a committee of five from the 15 students in the student council.
To calculate the number of ways to select a committee of five from a group of 15 students, we can use the combination formula. The formula for combination, denoted as "n choose r," calculates the number of ways to choose r items from a set of n items without considering the order.
In this case, we want to choose a committee of five from a group of 15 students. Using the combination formula, we can calculate it as:
C(15, 5) = 15! / (5! * (15-5)!)
where "!" denotes factorial. Simplifying the expression:
C(15, 5) = 15! / (5! * 10!)
The factorial of a number is the product of all positive integers less than or equal to that number. In this case:
15! = 15 * 14 * 13 * 12 * 11 * 10!
Cancelling out the common terms:
C(15, 5) = (15 * 14 * 13 * 12 * 11) / (5 * 4 * 3 * 2 * 1)
Simplifying the expression further:
C(15, 5) = 3,003
Therefore, there are 3,003 ways to select a committee of five from the 15 students in the student council.
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If sin(x) = 2/3 and sec(y) = 5/4, where x and y lie between 0 and /2, evaluate sin(x + y).
sin(x + y) is equal to 39/45.To evaluate sin(x + y), we can use the trigonometric identity:sin(x + y) = sin(x)cos(y) + cos(x)sin(y)
Given that sin(x) = 2/3 and sec(y) = 5/4, we can find the values of cos(x) and cos(y) using the Pythagorean identity:
cos²(x) = 1 - sin²(x)
cos²(x) = 1 - (2/3)²
cos²(x) = 1 - 4/9
cos²(x) = 5/9
cos(x) = ±√(5/9)
Since x lies between 0 and π/2, cos(x) msin(x + y) is equal to 39/45.ust be positive. Therefore, cos(x) = √(5/9).
Similarly, sec(y) = 1/cos(y), so we can find cos(y) as:
cos(y) = 1/sec(y)
cos(y) = 1/(5/4)
cos(y) = 4/5
Now, we can substitute these values into the sine addition formula:
sin(x + y) = sin(x)cos(y) + cos(x)sin(y)
= (2/3)(4/5) + (√(5/9))(sin(y))
= 8/15 + (√(5/9))(sin(y))
To find sin(y), we can use the Pythagorean identity:
sin²(y) = 1 - cos²(y)
sin²(y) = 1 - (4/5)²
sin²(y) = 1 - 16/25
sin²(y) = 9/25
sin(y) = ±√(9/25)
Since y lies between 0 and π/2, sin(y) must be positive. Therefore, sin(y) = √(9/25) = 3/5.
Substituting this value into the expression for sin(x + y), we have:
sin(x + y) = 8/15 + (√(5/9))(3/5)
= 8/15 + √(1/9)
= 8/15 + 1/3
= 24/45 + 15/45
= 39/45
Finally, we can simplify the fraction:
sin(x + y) = 39/45
Therefore, sin(x + y) is equal to 39/45.
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In special cases, a linear associator can succeed perfectly even when the input vectors are not linearly independent. For every input linear dependence such as
In special cases, a linear associator can succeed perfectly even when the input vectors are not linearly independent.
In general, linear associators, also known as linear classifiers or perceptrons, are used to classify input vectors into different categories based on a linear decision boundary. The success of a linear associator depends on the linear independence of the input vectors, which means that the vectors should not be redundant or collinear.
However, there are special cases where linear associators can still succeed perfectly even when the input vectors are not linearly independent. This can happen when the linearly dependent vectors contain redundant or overlapping information that can still be used to accurately classify the input.
For example, consider a situation where two input vectors are linearly dependent, meaning one vector is a scalar multiple of the other. Despite this linear dependence, it is possible that the linear associator can correctly classify the input based on the shared information between the vectors.
The reason behind this is that the linear associator can assign appropriate weights to the redundant features, which allows it to capture the essential patterns for classification. In such cases, the linearly dependent vectors can still contribute valuable information to the overall decision-making process.
It's important to note that while linear associators can succeed in these special cases, the presence of linear dependence can still lead to issues such as overfitting and decreased generalization performance. Therefore, ensuring linear independence and avoiding redundancy in the input vectors is generally preferred for optimal performance.
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I need help fast asap
The values of the functions are f(122) = 5 and f(-346) = -7
How to determine the functionFrom the question, we have the following function notation that can be used in our computation:
f(x) = ∛x + 3
Also, from the question, we have
f(122) and f(-346)
Using the above as a guide, we have the following:
f(122) = ∛122 + 3
f(122) = ∛125
f(122) = 5
Then, we have
f(-346) = ∛-346 + 3
f(-346) = ∛-343
f(-346) = -7
Hence, the values are f(122) = 5 and f(-346) = -7
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25 3. The area of a rectangular city park is 54 width, in miles, of the park? A TIO B 5 6 square miles. The length of the park is C 54 D 1²/13 mile. What is the
The width in miles, of the park is equal to 5/6 miles.
How to calculate the area of a rectangle?Mathematically, the area of a rectangle can be calculated by using this formula:
A = LW
Where:
A represents the area of a rectangle.W represents the width or base of a rectangle.L represents the length or height of a rectangle.Substituting the given points into the area of rectangle formula, we have the following;
25/54 = 5/9 × W
Width, W = 25/54 × 9/5
Width, W = 5/6 miles.
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Complete Question:
The area of a rectangular city park is 25/54 square miles. The length if the park is 5/9 of a mile. What is the width in miles, of the park?
The dosage of a certain medication is 1.5 ounces for every 50 pounds of body weight. Devon is 190 pounds and on this medication. If he loses 15 pounds, what will his new dosage be?
The dosage for Devon's body weight is 5.25 ounces.
Calculating the dosage of medication:Note that 50 pounds of body weight require 1.5 ounces of medication,
Here by dividing the given amount of medication by 50 find the amount of medication for 1 pound of body
Now multiply the result by the present body weight of the Devons.
Here we have
The dosage of the medication is 1.5 ounces for every 50 pounds
Weight of Devon = 190 pounds
If he loses 15 pounds, present Devon's weight = 190 - 15 = 175
Dosage for Devon's body = \(\frac{1.5}{50} \times 175\)
= \(0.03 \times 175\)
= 5.25
Therefore,
The dosage for Devon's body weight is 5.25 ounces.
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Kim and Jay live at the same time to travel 25 Miles to the beach can drive 9 miles in 2012 minutes G raft drive 10 miles in 15 minutes if they both continue with the same lady who will arrive at the beach first
Complete question :
kim and jay leave at the same time to travel 25 miles to the beach. kim drives 9 miles in 12 minutes. jay drives 10 miles in 15 minutes if they both continue at the same rate, who will arrive at the beach first?
Answer:
KIM
Step-by-step explanation:
Given that:
Distance traveled = 25 miles
Kim :
9 miles in 12 minutes
Rate = distance / time
Rate = 9 / 12 = 0.75 miles per minute
Jay:
10 miles in 15 minutes
Rate = distance / time
Rate = 10 / 15 = 0.667 miles per minute
Since Kim's rate is higher than Jay's rate, Kim will arrive at the beach faster than Jay.
0.75 > 0.667
Kim will arrive first
4-3
Write a program that prompts the user to input an integer between 0 and 35. The prompt should say Enter an integer between 0 and 35:.
If the number is less than or equal to 9, the program should output the number; otherwise, it should output:
A for 10
B for 11
C for 12
. . .
and Z for 35.
(Hint: For numbers >= 10, calculate the ACSII value for the corresponding letter and convert it to a char using the cast operator, static_cast().)
Here's a sample program in C++ that satisfies your requirements:
```
#include
using namespace std;
int main() {
int num;
cout << "Enter an integer between 0 and 35: ";
cin >> num;
if (num <= 9) {
cout << num << endl;
} else if (num >= 10 && num <= 35) {
char letter = static_cast('A' + num - 10);
cout << letter << endl;
} else {
cout << "Invalid input." << endl;
}
return 0;
}
```
- The program prompts the user to input an integer between 0 and 35 using the `cout` and `cin` statements.
- The `if` statement checks whether the number is less than or equal to 9. If it is, it outputs the number using the `cout` statement.
- The `else if` statement checks whether the number is between 10 and 35 (inclusive). If it is, it calculates the corresponding letter using the ASCII value for 'A' and the given number. The `static_cast` statement converts the calculated value to a character. Finally, the program outputs the letter using the `cout` statement.
- The `else` statement handles the case when the input is outside the range of 0 to 35. It outputs an error message using the `cout` statement.
- The program ends with the `return 0` statement.
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5 2/8 minus 1 3/8 (show work)
Answer:
\(\frac{31}{8} or 3\frac{7}{8}\)
Step-by-step explanation:
First, these 2 fractions are proper fractions, we will convert them into improper ones.
\(5\frac{2}{8} = \frac{42}{8}\)
\(1\frac{3}{8} =\frac{11}{8}\)
Now to subtract fractions, we must ensure the denominators are the same, which in this case is already the same, so we can subtract straightaway.
\(\frac{42}{8} - \frac{11}{8} \\=\frac{31}{8} or 3\frac{7}{8}\)
\(\huge\textsf{Hey there!}\)
\(\mathsf{5 \dfrac{2}{8} - 1 \dfrac{3}{8}}\)
\(\mathsf{= \dfrac{5 \times 8 + 2}{8} - \dfrac{1 \times 8 + 3}{8}}\)
\(\mathsf{= \dfrac{40 + 2}{8} - \dfrac{8 + 3}{8}}\)
\(\mathsf{= \dfrac{42}{8} - \dfrac{11}{8}}\)
\(\mathsf{= \dfrac{42 - 11}{8 - 0}}\)
\(\mathsf{= \dfrac{42 - 11}{8}}\)
\(\mathsf{= \dfrac{31}{8}}\)
\(\mathsf{\approx 3 \dfrac{7}{8}}\)
\(\huge\textsf{Therefore, your answer should be: \boxed{\mathsf{3 \dfrac{7}{8}}}}\huge\checkmark\)
\(\huge\textsf{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040}\)
Give the formulas for average fixed cost (AFC), marginal cost (MC), average variable cost (AVC), and average cost (AC) if the cost function is: C=6+8q. Average fixed cost is: AFC= Marginal cost is: MC= Average variable cost is: AVC= Average cost is: AC= 1.) Use the line drawing tool to draw the marginal cost curve. Label this line 'MC'. 2.) Use the 3-point curved line drawing tool to draw the average cost curve for quantities q=1. q=2, and q=3. Label this curve 'AC'.
Use the 3-point curved line drawing tool to draw the average cost curve for quantities q = 1, q = 2, and q = 3. Connect these points smoothly to form the average cost curve.
To calculate the formulas for average fixed cost (AFC), marginal cost (MC), average variable cost (AVC), and average cost (AC) based on the cost function C = 6 + 8q, we can use the following equations: Average Fixed Cost (AFC): AFC = Total Fixed Cost (TFC) / Quantity (q). Since the cost function C = 6 + 8q does not have any fixed cost component, AFC would be zero. Marginal Cost (MC): MC = Change in Total Cost (ΔTC) / Change in Quantity (Δq). The cost function C = 6 + 8q has a constant marginal cost of 8. Average Variable Cost (AVC): AVC = Total Variable Cost (TVC) / Quantity (q). Since the cost function C = 6 + 8q does not have any variable cost component, AVC would be the same as MC, which is 8.
Average Cost (AC): AC = Total Cost (TC) / Quantity (q); AC = (Total Fixed Cost + Total Variable Cost) / Quantity; AC = (6 + 8q) / q; AC = 6/q + 8. Now, for the graphical representation: Use the line drawing tool to draw the marginal cost curve, which is a straight line with a slope of 8. Label this line 'MC'. Use the 3-point curved line drawing tool to draw the average cost curve for quantities q = 1, q = 2, and q = 3. Connect these points smoothly to form the average cost curve. Label this curve 'AC'. Please note that the shape and position of the curves will depend on the specific quantities chosen, but the general trend will be a downward-sloping MC curve intersecting the U-shaped AC curve.
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What is the area of the sector shown in the diagram below?
14 cm
OA. 34.2 cm²
OB. 30.8 cm²
OC. 136.8 cm²
D. 4.9 cm²
The area of the sector shown in the diagram below is A = 136.8 cm²
Area of a sectorThe formula for calculating the area of a sector is expressed as:
A = r²Ф/2
Given the following
radius = 14cm
Ф = π/6
Substitute
A = (14)²π/12
A = 196(3.14)/2
A = 136.8 cm²
Hence the area of the sector shown in the diagram below is A = 136.8 cm²
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How many planes of symmetry does this sphere have? one two four infinitely many
Answer:
infintely many
Step-by-step explanation:
16. diagonal the perimeter of a rectangle is 32 feet. the length is three times as long as the width. find the length of the diagonal. round to the nearest tenth.
The length of the diagonal is 12.6 feet.
"Information available from the question"
The perimeter of a rectangle is 32 feet.
The length is three times as long as the width.
We have to find the length of the diagonal.
Let w = width
then
3w = length.
Because we know the perimeter:
Perimeter of the rectangle is : 2(l + w)
32 = 2(w + 3w)
32 = 2(4w)
16 = 4w
4 feet = w (width)
Length:
3w = 3(4) = 12 feet
Diagonal, we use the Pythagorean theorem:
Let d = diagonal
then,
\(d^2 = 4^2 + 12^2\)
\(d^2\) = 16 + 144
\(d^2\) = 160
d = 12.6 feet
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could i get an explanation on how to do this?
Answer:
EH is 25
Step-by-step explanation:
7+7+11=25
EH is 25
What common base can be used to rewrite each side of the equation 2x+3-3=5 2 3 5 8
Answer:
2
Step-by-step explanation:
Just took the test luv <3