When 250 is divided by 10 the 2nd power will be 5².
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
250 is divided by 10. Then the value of the expression will be
⇒ 250 / 10
⇒ 25
Write the expression in the form of 2nd power, then we have
⇒ 25
⇒ 5 x 5
⇒ 5²
When 250 is divided by 10 the 2nd power will be 5².
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the function f(x)=40x-80 models the number of visitors a website received x days after it was created. Which is the most appropriate domain for function?
The most appropriate domain for the given function is x ≥ 0.
Explanation:The domain of a function represents the set of all possible input values, or x-values, for which the function is defined. In this case, the function f(x) = 40x - 80 represents the number of visitors a website received x days after it was created. Since time cannot be negative and the website exists only after it was created, the most appropriate domain for the function would be x ≥ 0. This ensures that the function is defined for all non-negative values of x, which aligns with the context of the problem.
The length of rectangle ABCD is 4 in. The length of similar rectangle DEFG is 6 in. How many times greater than the area of ABCD is the area of DEFG?
The area of rectangle DEFG is 9/4 times greater than that of rectangle ABCD. This is determined by squaring the scale factor that relates their lengths, since the rectangles are similar.
The area of rectangle DEFG is how many times greater than the area of rectangle ABCD can be found by comparing the squares of their corresponding lengths, since they are similar rectangles. The length of rectangle ABCD is 4 inches, while the length of rectangle DEFG is 6 inches. To determine the area comparison, we square the scale factor, which is the ratio of the lengths of the two rectangles. This means the scale factor is 6/4, which simplifies to 3/2. Squaring this gives us (3/2)² = 9/4. Therefore, the area of DEFG is 9/4 times greater than the area of ABCD.
In the case of the squares Marta has, if one square has side lengths twice that of the other, the larger square will have an area that is 2² = 4 times larger than the smaller square. Applying this concept of squaring the scale factor to rectangles, as in the original question, gives us our ratio of areas between similar figures.
A factory employs skilled laborers at$25 per hour and unskilled laborers at $12 per hour. The total hourly cost of the factory’s 24 workers is $405. How many of each type of laborer works at the factory.
What binomial must be subtracted from 7t-5) so that the difference of the 2 polynomials is (5r+8)?
A, B and C are integers. If B is greater than A, then the sum of A and B will always produce a solution C with the same sign as B. True or false?
Carissa leaves a 20% tip at her favorite restaurant. Her bill is $32.18. What tip should she leave?
Carissa should leave a tip amounting to $6.43 at her favorite restaurant. This is calculated by converting the 20% tip rate to a decimal and multiplying that by the bill total of $32.18.
Explanation:To calculate the tip that Carissa would leave based on a 20% rate, you would use the formula for percentage calculations which is (Percentage / 100) × Total. In this case, the percentage is 20 and the total is $32.18, her restaurant bill.
Step-by-step calculation:
Convert the percentage to a decimal by dividing by 100: 20/100 = 0.2.Multiply the result by the total bill: 0.2 × $32.18 = $6.43.So, Carissa should leave a $6.43 tip at her favorite restaurant.
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Find an ordered pair (x,y) that satisfies both of the equations below:
2x - 3y = -5
5x - 2y = 4
Answer:
(2,3)
Step-by-step explanation:
Multiplying the first equation by 5 and the second equation by $-2$ gives
\begin{align*}
10x-15y&=-25,\\
-10x + 4y &=-8.\\
\end{align*}Adding the two equations gives $-11y = -33$, so $y=3$. Substituting $y=3$ in the first original equation gives $2x - 9 = -5$, so $2x = 4$ and $x = 2$. Therefore, the solution is $(x,y) = \boxed{(2,3)}$
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A parallelogram has a height of 5 units. One side of the parallelogram is AB. The parallelogram has no right angles.
Draw the parallelogram using the Polygon tool.
Each segment of the grid represents 1 unit.
Help me please
This is the choices for the first one
A)-x^2
B)2x^2
C)(x/2)^2
D)x^2
Second
A)10+x
B)10-x
C)10x
D)7-x
Third
A)3x-10
B)(3x-)/2
C)(3x-10)/2
D)3x/2
The graph shows the quadratic function f(x) . What is the average rate of change for the quadratic function from x = 10 to x = 12? Enter your answer in the box.
Answer:
3
Step-by-step explanation:
j is 25 more than 3
solve for j
Answer:
25+3=28 - 28=j or j=28
Step-by-step explanation:
just add 25 and 3 and you will get 28.
The length of a rectangle is 6 feet longer than its width. If the perimeter of the rectangle is 56 feet, find its length and width.
Final answer:
The width is 11 feet and the length is 17 feet.
Explanation:
The question asks us to find the length and width of a rectangle where the length is 6 feet longer than the width and the perimeter is 56 feet. To solve this, let's denote the width of the rectangle as w feet.
Since the length is 6 feet longer, the length will be w + 6 feet.
The formula for the perimeter (P) of a rectangle is P = 2(length + width). We can plug in our expressions for length and width into this formula:
P = 2(w + 6 + w)
Given that the perimeter is 56 feet, we have:
56 = 2(2w + 6)
Dividing both sides by 2, we get:
28 = 2w + 6
Subtract 6 from both sides:
22 = 2w
Divide both sides by 2:
11 = w
Therefore, the width of the rectangle is 11 feet and the length is w + 6 = 11 + 6 = 17 feet.
During a research experiment, it was found that the number of bacteria in a culture grew at a rate proportional to its size. At 7:00 AM there were 6,000 bacteria present in the culture. At noon, the number of bacteria grew to 6,500. How many bacteria will there be at midnight?
To determine the number of bacteria at midnight, we can use the concept of exponential growth in bacteria. We set up an equation and solve for the growth rate constant, then use the formula to calculate the number of bacteria at midnight.
Explanation:To solve this problem, we can use the concept of exponential growth in bacteria. In this case, the number of bacteria is growing at a rate proportional to its size. We can set up an equation to represent the growth: dN/dt = kN, where N represents the number of bacteria and t represents time. Since the rate of growth is proportional to the current population, we can use the formula N(t) = N0ekt to calculate the number of bacteria at any given time.
In this case, we have the initial number of bacteria N0 = 6000 at 7:00 AM and N(t) = 6500 at noon, so we can plug these values into the formula and solve for k. Then we can use the formula again to calculate the number of bacteria at midnight.
By using this approach, we can determine the number of bacteria that will be present at midnight based on the given growth rate and initial population.
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What is the exact volume of the cone?
80π ft³
4003π ft³
400π ft³
418710π ft³
**PLEASE HELP** Suppose your class is raising money for the Red Cross. You make $5 on each basket of fruit and $3 in each box of cheese that you sell. How many items of each type must you sell to raise more than $150?
a. Write a linear inequality that describes the situation.
b. write two possible solutions to the problem
please help i will mark brainliest
please help fast i will mark brainliest
.............................................. Nvm
Answer:
35. Monthly payment = ((total cost) -(initiation fee))/(number of payments)
36. ((sum of given scores) +(missing score))/5 = 98
37. 3 dozen is 1 dozen less than half a dozen times the number of marbles in the bag. How many marbles are in the bag?
38. (Rebecca's earnings last month) + $366 +$2895 = $5278
Step-by-step explanation:
A model rocket is launched from the ground with an initial velocity of 160 ft/sec. how long will it take the rocket to reach its maximum height? Show all work in the space provided. Assume the model rocket’s parachute failed to deploy and the rocket fell back to the ground. How long would it take the rocket to return to Earth from the time it was launched? Show all work in the space provided.
How does energy travel in a mechanical wave?
A. In a medium
B. In Space
C. In Time
D. In a vacuum
Answer:
The answer is In a medium
Step-by-step explanation:
Mechanical waves are waves that require a medium in which to travel, this involves a transfer of kinetic energy from one place to another in the material.
7) David bought a computer that was 20% off the regular price of $1080. If an 8% sales tax was added to the cost of the computer, what was the total price David paid?
8) Suzanne bought a sweater at the sale price of $25. The original cost of the sweater was $40. What percent represents the discount that Suzanne received when buying the sweater?
9) Leo bought a used car for x dollars. One year later the value of the car was 0.88 x. Which expression is another way to describe the change in the value of the car?
Just by looking at y = −x 2 + 1, how do you know that it does not represent a line?
A) x is squared.
B) There is no constant term.
C) There is an increase of 1.
D) The coefficient is − 1.
Answer:
x is squared. is correct.
y = mx + b represents a line. The x term is to the first power. In y = −x2 + 1, the x is squared.
Please help me I don’t know which one goes in order
Choose the equation that models the graph below
The lengthy of a rectangle is 2 times its width. The area of the rectangle is 72 square inches. Find the dimensions of the rectangle
The width of the rectangle is 6 inches and the length is 12 inches.
Explanation:To find the dimensions of the rectangle, we can use the fact that the length is 2 times the width. Let's define the width as 'w' inches. According to the problem, the length is 2 times the width, so the length would be '2w' inches. The area of a rectangle is calculated by multiplying the length and the width, so we can set up the equation: 'w * 2w = 72'. Solving this equation, we find that 'w' equals 6 inches. Therefore, the width of the rectangle is 6 inches and the length is 2 times that, which is 12 inches.
What is the area of this circle if the diameter is 4ft
Answer:
The answer is 12.56636
Step-by-step explanation:
A = πr²
A = area
r = radius
radius is half diameter, so the radius is 2. Plug π (2)² into your calculator and you get 12.56636
If I were you, I would round it to the second decimal place, so 12.57, but it depends on what your teacher wants
Rectangle ABCD has vertices A(8, 5) , B(8, 10) , C(14, 10) , and D(14, 5) . A dilation with a scale factor of 1.2 and centered at the origin is applied to the rectangle. Which vertex in the dilated image has coordinates of (9.6, 6) ?
A′
B′
C′
D′
The vertex A' corresponds to the coordinates (9.6, 6).
To find the vertex in the dilated image with coordinates (9.6, 6), we can apply the formula for dilation.
In a dilation centered at the origin with a scale factor of 1.2, the coordinates of a point (x, y) are transformed to (1.2x, 1.2y).
Let's calculate the coordinates of the vertices after dilation:
Vertex A' = (1.2 * x-coordinate of A, 1.2 * y-coordinate of A)
= (1.2 * 8, 1.2 * 5)
= (9.6, 6)
Vertex B' = (1.2 * x-coordinate of B, 1.2 * y-coordinate of B)
= (1.2 * 8, 1.2 * 10)
= (9.6, 12)
Vertex C' = (1.2 * x-coordinate of C, 1.2 * y-coordinate of C)
= (1.2 * 14, 1.2 * 10)
= (16.8, 12)
Vertex D' = (1.2 * x-coordinate of D, 1.2 * y-coordinate of D)
= (1.2 * 14, 1.2 * 5)
= (16.8, 6)
Comparing the coordinates of the dilated vertices to the given coordinates (9.6, 6), we can conclude that the vertex with coordinates (9.6, 6) is Vertex A' of the dilated image.
The vertex A' corresponds to the coordinates (9.6, 6).
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Help me please I can’t do this
write the equation of the line with x-intercept 3 and passing through the point (5,4).
A. y-2=1/2(x-4)
B. y+2=2(x+4)
C. y-2=2(x-4)
D. y-2=1/2(x-4)
Answer:
C. y-2=2(x-4)
Step-by-step explanation:
If the quadratic formula is used to solve 2x(x + 5) = 4, what are the solutions? {-1/2, -9/2}
The solutions are:
[tex]x=-5.372\ and\ x=0.372[/tex]
Step-by-step explanation:The equation is given by:
[tex]2x(x+5)=4[/tex]
on using the distributive property of multiplication in the left hand side of the equation we have:
[tex]2x\times x+2x\times 5=4\\\\i.e.\\\\2x^2+10x=4\\\\i.e.\\\\2x^2+10x-4=0\\\\i.e.\\\\2(x^2+5x-2)=0\\\\i.e.\\\\x^2+5x-2=0[/tex]
Now, we know that the solution of the quadratic equation:
[tex]ax^2+bx+c=0[/tex] is given by:
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Here we have:
[tex]a=1,\ b=5\ and\ c=-2[/tex]
Hence, the solution is:
[tex]x=\dfrac{-5\pm \sqrt{5^2-4\times 1\times (-2)}}{2\times 1}\\\\i.e.\\\\x=\dfrac{-5\pm \sqrt{25+8}}{2}\\\\i.e.\\\\x=\dfrac{-5\pm \sqrt{33}}{2}\\\\x=\dfrac{-5+\sqrt{33}}{2},\ x=\dfrac{-5-\sqrt{33}}{2}[/tex]
Hence, in decimal for the solution is:
[tex]x=-5.372\ and\ x=0.372[/tex]