Answer:
4.5 . ^14
Step-by-step explanation:
dont cheat in tests next time not everyone is as kind as me
Answer:
It would be 4.5 x 10^14
Step-by-step explanation:
Just multiply the decimals and for the exponents, you add them.
Logan made $15 an hour. He just received a pay raise to $18. What is the percent increase?
Answer:
I think its 0.83 or 8% hope this helps!
Step-by-step explanation:
Answer:
83
Step-by-step explanation:
: If 10 less than 5 times a number is two more than 3 times the number, then the number is
Answer:
x = 1Step-by-step explanation:
If 10 less than 5 times a number is two more than 3 times the number, then the number is
10 - 5x = 2 + 3x
10 - 2 - 5x - 3x = 0
8 - 8x = 0
x = 1
---------------
check
10 - 5 * 1 = 2 + 3 * 1
5 = 5
the answer is good
A company’s stock opened at 68 3/8 dollars per share. The stock dropped 1 7/8 dollars on Monday. The stock dropped another 2 1/2 dollars on Tuesday. On Wednesday, the stock gained back 4 1/4 dollars. brainly
Answer:
273/4
Step-by-step explanation:
We know
A company’s stock opened at 68 3/8 dollars per share
68 3/8 = 547/8
The stock dropped 1 7/8 dollars on Monday
1 7/8 = 15/8
547/8 - 15/8 = 532/8
The stock dropped another 2 1/2 dollars on Tuesday.
2 1/2 = 5/2
532/8 - 5/2 = 532/8 - 20/8 = 512/8
On Wednesday, the stock gained back 4 1/4 dollars.
4 1/4 = 17/4
512/8 + 17/4 = 512/8 + 34/8 = 546/8
546/8 = 273/4
So, the answer is 273/4
The ratio of Ed's toy cars to Pete's toy cars was initially 5:2. After Ed gave 30 toy cars to Pete, they each had an equal number of cars. How many toy cars did they have altogether?
Answer:
140 toy cars
Step-by-step explanation:
The ratio of Ed's toy car to Pete's toy car is initially given as 5:2
Ed gave Pete a total number of 30 cars
Let x represent the greatest common factor that exists between both number
Number of Ed's car is represented as 5x
Number of Pete car is represented as 2x
Since they each have an equal number of cars which is 30 then we can solve for x as follows
5x-30=2x+30
Collect the like terms
5x-2x= 30+30
3x= 60
Divide both sides by the coefficient of x which is 3
3x/3=60/3
x=20
Ed's car is 5x, we substitute 20 for x
5(20)
= 100 cars
Pete car is 2x,we substitute 20 for x
2(20)
= 40 cars
Therefore, the total number of cars can be calculated as follows
= 100+40
= 140 toy cars
Hence they have 140 toy cars altogether
Answer:
140
Step-by-step explanation:
a wire of length 26 m is divided into two pieces and each piece is bent into a square. how should this be done in order to minimize the sum of the areas of the two squares?
Answer:
A = a/2^2 + b/2^2 where b = 26 - a (a/2 and b/2 sides of square)
A = a^2 / 4 + 1/4 (a^2 - 52 a + 676)
4 * A= 2 a^2 - 52 a + 676
4 dA / da =4 a - 52 = 0
Area will be minimized when a = 13 and b = 13
Check:
n A
13 13 0 84.5
12 14 1 85
11 15 2 86.5
10 16 3 89
9 17 4 92.5
8 18 5 97
7 19 6 102.5
6 20 7 109
5 21 8 116.5
4 22 9 125
3 23 10 134.5
2 24 11 145
1 25 12 156.5
0 26 13 169
The numbers of hours worked (per week) bv 400 statistics students are shown below. a. Create a relative frequency table. b. What is the cumulative percent frequency for students working less than 20 hours per week? c. What is the percentage of students who work at least 10 hours per week?
A potter made 34 bowls out of 22 and 2/3 pounds of clay how many pounds of clay are in one bowl
Answer:
There are approximately 2/3 pounds of clay in one bowl.
Step-by-step explanation:
To find the number of pounds of clay in one bowl, you need to divide the total weight of clay (22 and 2/3 pounds) by the number of bowls (34).
To perform the calculation, we first need to convert the mixed number 22 and 2/3 to an improper fraction.
22 and 2/3 can be written as (3 * 22 + 2) / 3 = (66 + 2) / 3 = 68 / 3.
Now, we can calculate the weight of clay in one bowl by dividing the total weight by the number of bowls:
Weight of clay in one bowl = (Weight of clay) / (Number of bowls)
= (68 / 3) / 34
= 68 / (3 * 34)
= 68 / 102
= 2 / 3
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the following questions are about a spherical balloon that is being filled with air such that its radius is increasing at a constant rate of 2 cm/sec.
Surface area is increasing at a rate of 502.654 cm^2/sec and volume is increasing at a rate of 2513.274 cm^3/sec.
Part A: To find the rate at which the surface area of the spherical balloon is increasing when the radius is 10 cm, we need to use the formula for the surface area of a sphere.
The formula for the surface area of a sphere is A = 4πr^2, where A is the surface area and r is the radius of the sphere.
Given that the radius is increasing at a constant rate of 2 cm/sec, we can differentiate the surface area formula with respect to time to find the rate of change of the surface area.
dA/dt = 8πr(dr/dt)
In this case, dr/dt is the rate at which the radius is increasing, which is 2 cm/sec. Plugging in the values, we get:
dA/dt = 8π(10)(2) = 160π cm^2/sec
Now, to round to the nearest thousandths, we can approximate π as 3.14159.
So, the surface area is increasing at a rate of approximately 502.654 cm^2/sec when the radius is 10 cm.
Part B: To find the rate at which the volume of the spherical balloon is increasing when the radius is 10 cm, we need to use the formula for the volume of a sphere.
The formula for the volume of a sphere is V = (4/3)πr^3, where V is the volume and r is the radius of the sphere.
Again, we can differentiate the volume formula with respect to time to find the rate of change of the volume.
dV/dt = 4πr^2(dr/dt)
Using the given values, we have:
dV/dt = 4π(10)^2(2) = 800π cm^3/sec
Approximating π as 3.14159, we can calculate the rate of change of the volume:
dV/dt ≈ 800(3.14159) ≈ 2513.274 cm^3/sec
Therefore, the volume is increasing at a rate of approximately 2513.274 cm^3/sec when the radius is 10 cm.
This answers the question: "The following questions are about a spherical balloon that is being filled with air such that its radius is increasing at a constant rate of 2 cm/sec.
Part A: How fast is the surface area increasing when the radius of the sphere is 10 cm? Round to the nearest thousandths.
Part B: How fast is the volume increasing when the radius is 10 cm? Round to the nearest thousandths."
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How many pivot columns must A have if its columns span R5? Why? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The matrix must have pivot columns. If A had fewer pivot columns, then the equation Ax = 0 would have only the trivial solution. B. The matrix must have pivot columns. The statements "A has a pivot position in every row" and "the columns of A span R5" are logically equivalent. C. The matrix must have pivot columns. Otherwise, the equation Ax = 0 would have a free variable, in which case the columns of A would not span R5. D. The columns of a 5x7 matrix cannot span R5 because having more columns than rows makes the columns of the matrix dependent.
The matrix must have pivot columns. Otherwise, the equation Ax = 0 would have a free variable, in which case the columns of A would not span R5. Therefore, the correct answer is C.
A pivot column is a column of the matrix that has a non-zero entry in the pivot position and all entries below the pivot are zero. In row echelon form, every row below a pivot column has a zero in the corresponding position. The pivot columns correspond to the linearly independent columns of the original matrix and the number of pivot columns determines the rank of the matrix.
The rank of a matrix is defined as the number of linearly independent columns or rows in the matrix. If the columns of a matrix span Rn, then the rank of the matrix must be equal to n. This means that the matrix must have n linearly independent columns. To ensure that the columns of A span R5, A must have at least 5 pivot columns. If A had fewer pivot columns, then the equation Ax = 0 would have a non-trivial solution, meaning that the columns of A would not be linearly independent and would not span R5.
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henry and liani have 200 feet of wood to frame a flower bed. henry wants the bed to be a square, while liani wants it to be a rectangle with dimensions of 55 feet and 45 feet. find the area of henry's flower bed. area
The area of Henry's flower bed would be 2500 square feet.
Let's start by finding the perimeter of Henry's flower bed since we know that he wants it to be a square. If we let s be the length of one side of the square, then the perimeter would be:
4s = 200
Simplifying this equation, we get:
s = 50
So Henry's flower bed will have sides of 50 feet each.
To find the area of the flower bed, we can use the formula:
Area = side^2
So in this case, the area would be:
Area = 50^2 = 2500 square feet
Therefore, the area of Henry's flower bed would be 2500 square feet.
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Using the net below, find the surface area
of the pyramid.
sto
5 in
5 in.
Surface Area
=
[?] in?
Enter
Answer:
Using the net below, find the surface area
of the pyramid.
sto
5 in
5 in.
Surface Area
=
[?] in?Step-by-step explanation:
What is the perimeter of a parallelogram, if it's area is 36 cm^2 and the distances between the point of intersection of the diagonals and the sides are 2 cm and 3 cm? PLEASE HELP QUICK
Answer:
The perimeter of a parallelogram is 30cm.
Step-by-step explanation:
From the question , the given area of a parallelogram is 36 cm².
But the area of a parallelogram can be calculated using below formula
Area = base * height
From the question the distances that exist between the point of intersection of the diagonals and the sides are 2cm and 3cm respectively
There is the same distance between point of intersection of the diagonals and the opposite sides then,
The base of the side with 4cm can be calculated as
ha= 2+ 2= 4cm
But area can be calculated as A= base × height
36= b1 × h1
36=b1 × 4
b1= 9cm
The base of the other side can be calculated with 6cm height
h2= 3+3=6cm
A= b2× h2
36= b2 ×h2
36= b2× 6
b2= 6cm
Then the perimeter of the parallelogram can be calculated as
P= 2(b1 + b2)
= 2(6+9)
= 30cm
Hence,the perimeter of the parallelogram is 30cm
brainliest goes to whoever answers the question correctly also if you want more points answer my other questions
Answer:
f(x) = -½x + 16
Step-by-step explanation:
Using two points in the line, (0, 16) and (4, 14), we can write an equation for the linear function in the slope-intercept form, f(x) = mx + b, by finding the slope (m) and the y-intercept (b), then substituting each of the value into f(x) = mx + b.
✔️Slope (m) = change in y/change in x
Using, (0, 16) and (4, 14),
Slope (m) = (14 - 16)/(4 - 0) = -2/4
m = -½
✔️y-intercept (b) would be the value of y when x = 0, or the point at which the y-axis is intercepted by the line.
Thus,
When x = 0, y = 16
Therefore,
b = 16
✅Write the equation of the function by substituting m = -½ and b = 16 into f(x) = mx + b
Thus:
f(x) = -½x + 16
10 students are competing in a dance competition. How many was can you award first, second, and third place?
Given:
Total number of students = 10
To find:
How many was can you award first, second, and third place?
Solution:
Total number of students is 10. So, the total possible ways for the first award is 10.
We know that one student can hold only one place. So, after giving the first award, the number of remaining students is 9 and the total possible ways for the second award is 9.
Similarly, the total possible ways for the third award is 8.
Now, the total number of ways to award first, second, and third place is:
\(10\times 9\times 8=720\)
Therefore, the total number of ways to award first, second, and third place is 720.
What is the mean of 68,72,75,80,90
Answer:
77
Step-by-step explanation:
add all the numbers together then divide by the amount of numbers there are
385÷5=77
\(\text {Hi! Let's Solve this Problem!}\)
\(\text {\underline {The First Step is to Add}}\)
\(\text {68+72+75+80+90=385}\)
\(\text {\underline {The Final Step is to Divide}}\)
\(\text {385/5=}\)
\(\text {Your Answer Would Be:}\)
\(\fbox {77}\)
\(\text {Q: How did u get 5 to divide by?}\)
\(\text {A: You count all the numbers that you are finding the mean for.}\) \(\text {So you see there are 5 numbers so that means you divide by 5.}\)
\(\text {Note: To find the mean you order the numbers. Then add. Then divide}\) \(\text {the total you got when u added and the total of numbers there are.}\)
\(\text {Best of Luck!}\)
What transformation(s) have been applied to function f(x) to get g(x)? Check all that apply.translationreflectiondilationrotation
Transformations that have been applied to function f(x) to get g(x) are translation, reflection, and dilation.
The process of transforming the existing graph or graphed equation, to create a variation of the following chart is called graph conversion. Transformations such as translation, reflection, and dilation have been applied to function f(x) to produce g(x).
Whenever the function is "translated" it is moved in such a very way that it will not alter the shape or rotate in any way.The reflection is a modification of the function's graph all along the x or y-axis (or both).Dilation is defined as a stretch or shortening about in an axis caused by multiplying or subdivisions.Therefore, the answer is "translation , reflection , and dilation".
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Answer:
A) Translation
B) Reflection
C) Dilation
Step-by-step explanation:
Find the circumference of a circle with an area of 16mm
Answer:
14.176 mm
Step-by-step explanation:
16=\(\pi\)\(r^{2}\)
r=2.25733052
C=2\(\pi\)r
C= 14.176mm
What is the value of a?
please help for 20 points !!
The \(4\frac{3}{8}-2\frac{1}{8}\) \(=2\frac{1}{8}\) This is the correct way to solve the equation it.
What sort of equation would that be?The meaning of an equations in algebra is a logical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Does equation imply issue?When we say we're "solving" an equation, we truly mean we're "solving" the issue or "answering" the question since, in most circumstances, a formula reflects a problem (or query) of some type. A mathematical phrase with two equal sides and an equal sign is called an equation.
Given,
\(4\frac{3}{8}-2\frac{1}{8}\)
\(=2\frac{1}{8}\)
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can someone solve this for me?
I need help with the first question please
Answer:
that's 3 unit s so because it's 3.5 but round it up and u get 3
find the maximum and minimum values of the function y = 4 x2 1 − x on the interval [0, 2]. (round your answers to three decimal places.) maximum minimum
The maximum value of the function y = 8(x^2+1)^(1/2) - x on the interval [0,4] is approximately 29.658, which occurs at x = 4 and The minimum value of y is approximately 3.605, which occurs at x = 1/√15.
To find the maximum and minimum values of the function y = 8(x^2+1)^(1/2) - x on the interval [0,4], we will first take the derivative of the function and set it equal to zero to find the critical points. Then we will evaluate the function at those critical points and at the endpoints of the interval to find the maximum and minimum values.
First, we take the derivative of y with respect to x:
y' = 8(1/2)(x^2+1)^(-1/2)(2x) - 1
Simplifying, we get
y' = 4x(x^2+1)^(-1/2) - 1
Setting y' equal to zero and solving for x, we get
4x(x^2+1)^(-1/2) - 1 = 0
4x(x^2+1)^(-1/2) = 1
16x^2 = (x^2+1)
15x^2 = 1
x = ±(1/√15)
We check these critical points as well as the endpoints of the interval [0,4] to find the maximum and minimum values of y
y(0) = 8(0^2+1)^(1/2) - 0 = 8(1)^(1/2) = 8
y(4) = 8(4^2+1)^(1/2) - 4 ≈ 29.658
y(1/√15) = 8((1/√15)^2+1)^(1/2) - (1/√15) ≈ 3.605
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I have solved the question in general, as the given question is incomplete.
The complete question is:
Find the maximum and minimum values of the function y = 8(x^2+1)^(1/2)-x on the interval [0,4]. (Round your answers to three decimal places.)
23. Match the figure with the number of unit cubes that would be needed to build each figure. Not every number of unit cubes will be used.
We can see here that:
Figure 1 - 7 unit cubes.Figure 2 - 6 unit cubes.What is cube?A cube is a three-dimensional geometric shape that has six square faces, all of which are congruent (equal in size) and perpendicular to each other. It is a special type of rectangular prism where all edges have the same length, and all angles are right angles (90 degrees).
Cubes are commonly encountered in everyday life, such as dice, boxes, and Rubik's Cube puzzles. They have precise and uniform geometry, making them useful in various mathematical and engineering applications.
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What is the value of b in the equation y = mx + b for the line shown on the
graph above?
Answer:
-1
Step-by-step explanation:
the line crosses y at -1
What is the area of rhombus ABCD? Enter your answer in the box. Do not round at any steps.
Answer:
Area of the rhombus ABCD = 16 square units
Step-by-step explanation:
Area of a rhombus = \(\frac{1}{2}(\text{Diagonal 1})(\text{Diagonal 2})\)
From the graph attached,
Diagonal 1 = Distance between the points A and C
Diagonal 2 = Distance between the points B and D
Length of a segment between (x₁, y₁) and (x₂, y₂) = \(\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^2 }\)
Diagonal 1 (AC) = \(\sqrt{(4-0)^2+(-1+1)^2}\) = 4 units
Diagonal 2(BD) = \(\sqrt{(2-2)^2+(3+5)^2}\) = 8 units
Now area of the rhombus ABCD = \(\frac{1}{2}(\text{AC})(\text{BD})\)
= \(\frac{1}{2}\times 4\times 8\)
= 16 units²
Therefore, area of the given rhombus is 16 units².
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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Whats 6x-5+2x=3x-2x+9?
Answer:
X=2
Step-by-step explanation:
first combine like terms
subtract the x
add 5
lastly divide by 7
work out (10 - 3 x 2) ^2
Answer:
Step-by-step explanif you subtract 10 from 3 you would get 7 multiply that by 2 x2 and then you would ge
A line passes through the points (-4,3) and (0,0) what is the slope of the line?
Answer:
Slope: -3/4
Step-by-step explanation:
Use the formula:
\(\frac{y^{2} -y}{x^{2} -x}\)Substitute the points (-4, 3) and (0,0) into the equation:
\(\frac{0- 3}{0-(-4)}\)Solve.
\(\frac{-3}{4}\)
Ashley had 4/ 5 of a spool of yarn. She used 2/5 of it for her project. What fraction of the spool was used for her project? Write your answer in simplest form
Ashley used 8/25 of the spool for her project.
To determine the fraction of the spool that Ashley used for her project, we need to multiply the fraction of the spool she had (4/5) by the fraction she used (2/5):
(4/5) * (2/5) = 8/25
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