Answer: The input is the x variable and the output is the y variable, so the equation is y=0 which is just a line on the x axis
**the thicker line in the picture is what the line should look like.
A rectangle has an area of 24 square centimeters. What could be its length and width?
Answer:
true or false
Step-by-step explanation:
Receiving a customer who has an appointment is a routine query
Which statement is true?
The sum of 78 and 87 is zero.
The sum of 78 and −87 is zero.
The sum of 78 and 78 is zero.
The sum of 78 and −78 is zero.
Answer:
The sum of 78 and -78 is zero.
Step-by-step explanation:
I used a calculator ;)
Suppose a closed economy with no government spending or taxing is capable of producing an output of $1100 at full employment. Suppose also that autonomous consumption is $170, intended investment is $130, and the mpc is 0.75. What is the multiplier for this economy
The multiplier for the given economy is 4.
The multiplier represents the magnification effect of an initial change in autonomous spending on the overall output of an economy. It is calculated using the formula 1 / (1 - MPC), where MPC is the marginal propensity to consume.
In this case, the MPC is given as 0.75, which means that for every additional dollar of income, individuals spend 75 cents. The multiplier is calculated as 1 / (1 - 0.75) = 4.
The multiplier of 4 indicates that a change in autonomous spending, such as investment or consumption, will have a four times larger impact on the overall output of the economy. In other words, for every dollar increase in autonomous spending, the total output of the economy will increase by four dollars.
In this scenario, since the intended investment is $130, the total increase in output would be 4 * $130 = $520. Therefore, the multiplier effect amplifies the initial change in autonomous spending and leads to a larger increase in output in the economy.
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Write as a percent
23 out of 100.
Answer:
%23
Step-by-step explanation:
23/100
Answer:
23%
Step-by-step explanation:
A photo is 15 cm high and 9 cm wide Michael wants to but porcelain shrink it so it's height is 6 cm High how wide will it then be
Answer:
3.6cm
Step-by-step explanation:
Given data
We are given that the dimension of the photo is
Height= 15cm
Width= 9cm
That is
15cm height will make 9cm width
hence 6cm height will make x widht
cross multiply
9*6= 15*x
54= 15x
x= 54/15
x= 3.6cm
Hence the width will be 3.6cm
Help ASAP!!!! 10 points
Answer:
1= c
2=d
3=c
Step-by-step explanation:
Answer:
1) (155+30+40+155+120):5=120 D
2)155,155,120,40,30 MEDIAN IS 120 D
3)MODE NUMBER IS 155 C
Step-by-step explanation:
y varies directly with x .If y = (3/4) when x = (1/2) , find y when x=3
The direct variation is y = 3/2 x, the value of y for x = 3 is 9/2.
What is direct variation?A direct variation is defined as having variables that are directly proportional. When one variable's value rises, the other variable's value rises as well, and vice versa. Assuming k is constant, the following is how a direct variation is expressed:
y=kx
As y varies directly with x,
using direct variation,
y = kx
given, y = 3/4 when x = 1/2,
⇒ 3/4 = k 1/2
⇒ k = 3/2
when x = 3,
the value of y will be -
y = kx
⇒ y = 3/2. 3
⇒ y = 9/2
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in a garden club, 90% is ladies. the number of ladies is 12 more than 3 times the number of gentlemen. how many ladies and how many gentlemen are in the club.
(Note set up as a rational equation and solve)
hurry will mark branliest
The numbers of ladies and gentlemen in the club are 2 and 18 respectively.
What is the percentage?The percentage is a ratio that can be expressed as a fraction of 100.
Given that, there are 90% of ladies in the club, and the number of ladies is 12 more than 3 times the number of gentlemen.
Let the number of gentlemen is x and the number of ladies be y.
Since the number of ladies is 12 more than 3 times the number of gentlemen, it follows:
y = 12 + 3x (1)
Now, the total number of members in the club is:
x + y
Since there are 90% ladies in the club, it follows:
90%(x + y) = y
90(x + y)/100 = y
90x + 90y = 100y
90x = 100y - 90y
90x = 10y
9x = y (2)
Now, substitute y = 9x into equation (1):
9x = 12 + 3x
9x -3x = 12
6x = 12
x = 2
Substitute x = 2 into equation (2):
9(2) = y
18 = y
Hence, the numbers of ladies and gentlemen in the club are 2 and 18 respectively.
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If T is the midpoint of SU, what are ST, TU, and SU.
*Question 16*
We have ST=5x, TU=3x+32 and they're equal if T is the midpoint:
5x = 3x + 32
2x = 32
x = 16
ST = 5x = 80
So TU = 80 and SU=160
Answer: Second choice
Write a program for composite quadrature using Simpson's rule. How many function evaluations are required to compute the integral of sin a: over the interval [0, pi] and with a tolerance of 10-6? Use the value obtained with MATLAB's quad routine as the exact value of the integral.
An example οf a prοgram in Pythοn fοr cοmpοsite quadrature using Simpsοn's rule is given below.
How this program works?In this prοgram, the functiοn f(x) represents the integrand, cοmpοsite_simpsοns(a, b, n) implements the cοmpοsite Simpsοn's rule, and main() is the main functiοn that calculates the integral.
Yοu need tο replace the value exact_value with the exact value οbtained frοm MATLAB's quad rοutine fοr the given functiοn. The prοgram will then estimate the integral using cοmpοsite Simpsοn's rule until the tοlerance level is reached, and it will οutput the apprοximate value οf the integral, the exact value, and the number οf functiοn evaluatiοns required.
Please nοte that this prοgram assumes that the exact value οf the integral has been οbtained using MATLAB's quad rοutine.
\\code\\
import math
def f(x):
return math.sin(x)
def composite_simpsons(a, b, n):
h = (b - a) / n
sum1 = 0
sum2 = 0
for i in range(1, n, 2):
x = a + i * h
sum1 += f(x)
for i in range(2, n-1, 2):
x = a + i * h
sum2 += f(x)
integral = (h / 3) * (f(a) + f(b) + 4 * sum1 + 2 * sum2)
return integral
def main():
a = 0
b = math.pi
tolerance = 1e-6
n = 2
integral_prev = composite_simpsons(a, b, n)
n *= 2
while True:
integral_current = composite_simpsons(a, b, n)
if abs(integral_current - integral_prev) < tolerance:
break
integral_prev = integral_current
n *= 2
exact_value = 2.0 # Replace with the exact value obtained from MATLAB's quad routine
print("Approximate value:", integral_current)
print("Exact value:", exact_value)
print("Number of function evaluations:", n+1)
if __name__ == '__main__':
main()
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Does x=y-1 represent a fraction ?
Answer: Yes
Step-by-step explanation:
Answer:
yes it does represent as a fraction
Which of the attributes below are shared by both trapezoid
and parallelograms? Select all that apply.
A) 4 sides
B) 4 right angles
C) All sides are straight lines
D) 2 sets of parallel sides
The attributes shared by both trapezoids and parallelograms are:
A) 4 sides
C) All sides are straight lines
D) 2 sets of parallel sides
So the correct options are A), C), and D).
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Bob's Plumbing charges $50 for a house call
(regardless of how much time it takes). Once they
are there they charge $30 an hour (x). The total cost
is a function of the number of hours they work.
Write a function rule that models the cost of the t-
shirts. Evaluate the function for 8 hours.
Functions rule:
Cost for 8 hours:
(i don’t know why it says t-shirts, that’s how it is on my math paper)
Answer:
C(8) = $290
Step-by-step explanation:
Since Bob's Plumbing charge a flat fee of $50, then it is the y-intercept.
As detailed in the given problem, x is the number of hours they work.
They charge $30 for every x number of hours on the job. This represents the slope.
C(x) represents the total cost of working for x number of hours.
Given these factors, we can establish the following function rule:
C(x) = 30x + 50
To evaluate the function for 8 hours of work:
C(8) = 30(8) + 50
C(8) = 240 + 50
C(8) = 290
Therefore, the cost of working for 8 hours is $290.
Please mark my answers as the Brainliest if my explanations were helpful :)
State whether True or False.
(a) All rectangles are squares
(b) All rhombuses are parallelograms
(c) All squares are rhombuses and also rectangles
(d) All squares are not parallelograms (e) All kites are rhombuses
(f) All rhombuses are kites (g) All parallelograms are trapeziums
(h) All squares are trapeziums
All rectangles are square is a false statement
The given statement is false statement.
What is a rectangle and square?
A rectangle is a quadrilateral with opposite sides parallel and equal and each angle is a right angle, where as a square is quadrilateral with opposite sides parallel and each side is equal. and every angle is a right angle.
We are given a statement All rectangle are squares.
As every side of a square is of equal length And only opposite sides are of equal length in rectangle
All rectangles are not square
Hence the statement is not true
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Find the derivative of the given function. f(x)= 2/x⁵ - 5/x³
(Use symbolic notation and fractions where needed.)
We are asked to find the derivative of the function f(x) = 2/x^5 - 5/x^3 using symbolic notation and fractions. the derivative of the function f(x) = 2/x^5 - 5/x^3 is f'(x) = -10/x^6 + 15/x^4.
To find the derivative of the function, we can apply the power rule and the constant multiple rule of differentiation.
Using the power rule, the derivative of x^n (where n is a constant) is given by nx^(n-1). Applying this rule to each term of the function, we get:
f'(x) = 2 * (-5)x^(-5-1) - 5 * (-3)x^(-3-1)
= -10x^(-6) + 15x^(-4)
Simplifying further, we can rewrite the derivative as:
f'(x) = -10/x^6 + 15/x^4
Thus, the derivative of the function f(x) = 2/x^5 - 5/x^3 is f'(x) = -10/x^6 + 15/x^4.
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I really need to know the answer to the proportion x-3/x=9 /10
x=30
Explanation
\(\frac{x-3}{x}=\frac{9}{10}\)
Step 1
cross multiply
\(\begin{gathered} \frac{x-3}{x}=\frac{9}{10} \\ 10(x-3)=9x \\ 10x-30=9x \\ \end{gathered}\)Step 2
subtract 9x in both sides
\(\begin{gathered} 10x-30=9x \\ 10x-30-9x=9x-9x \\ x-30=0 \\ \end{gathered}\)Step 3
add 30 in both sides
\(\begin{gathered} x-30=0 \\ x-30+30=0+30 \\ x=30 \end{gathered}\)I hope this helps you
Evaluate each function.
g(x) = 3x + 4; Find g(-4)
A) 10
B) -2
C) -17
D) -8
Answer:
-8
Step-by-step explanation:
so g(x) = 3x+4
to find g( -4) , it simply mean that to replace the x in the function g by the value given which is -4
so when u replaced it give you
g(-4) = 3(-4) +4
= -12 +4
= -8
Which of the following is the solution to the following system of inequalities? Let the green region represent the answer region.
Answer:
Option (A)
Step-by-step explanation:
There are two inequalities drawn on a graph.
x + 2y ≤ 4 ------(1)
3x - y ≤ 2 -------(2)
Here solution set of the inequality (1) will be represented by the shaded area below the solid line (in blue) represented by "x + 2y = 4".
(Line x + 2y = 4 will have the slope slanting down and y-intercept as 2)
Second inequality will represent the shaded area on the left of the solid red line represented by "3x - y ≤ 2".
(Line 3x - y = 2 will have the slope upwards and y-intercept as -2)
Solution area of these inequalities will be the common area shaded in green.
Graph given in Option (A) will be the answer.
Giselle is going to frame a portrait of the family and place it on the mantle in the family room. The portrait is 10 inches longer than it is tall and will take up a total area of 1344 square inches once it is inside the 2 inch thick frame. Find the dimensions and area of the unframed portrait.
[(h + 10) - 4] × (h - 4) = 1344. This equation to find the height and length of the unframed portrait, and then calculate the area.
Let's denote the height of the portrait as 'h' inches. According to the problem, the length of the portrait is 10 inches longer than its height, so the length would be 'h + 10' inches.
Now, we need to find the dimensions and area of the unframed portrait. To do this, we need to subtract the thickness of the frame from the dimensions of the framed portrait.
Dimensions of the framed portrait:
Length: (h + 10) inches
Height: h inches
Dimensions of the unframed portrait:
Length: (h + 10) - (2 + 2) inches (subtracting the thickness of the frame)
Height: h - (2 + 2) inches
Area of the unframed portrait:
Area = Length × Height
Area = [(h + 10) - 4] × (h - 4) square inches
We are given that the total area of the framed portrait is 1344 square inches. So, we can set up the equation:
[(h + 10) - 4] × (h - 4) = 1344
Solve this equation to find the height and length of the unframed portrait, and then calculate the area.
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Is the expression x to the power of 3 times x to the power of 3 times x to the power of 3 equivalent to x to the power of 3 times 3 times 3 ? why or why not ? explain your reasoning
The expression x to the power of 3 times x to the power of 3 times x to the power of 3 is not equivalent to an expression x to the power of 3 times 3 times 3.
For given question,
We have been given a statement 'x to the power of 3 times x to the power of 3 times x to the power of 3 '
We can write above statement in expression form as,
x³ × x³ × x³
Now, we simplify above expression.
We know that the product rule of exponents states that, 'To multiply expressions with the same base, add the exponents while keeping the base the same.'
So, x³ × x³ × x³ = \(x^{3+3+3}\)
⇒ x³ × x³ × x³ = \(x^{9}\) ....................................(1)
Also, we have been given a statement that 'x to the power of 3 times 3 times 3'
We can write above statement in expression form as,
\(x^{3\times 3\times 3}\)
Now we simplify above expression.
By power of a product rule of exponents,
\(x^{3\times 3\times 3}=x^{27}\) .....................................(2)
From (1) and (2),
x³ × x³ × x³ ≠ \(x^{3\times 3\times 3}\)
Therefore, the expression x to the power of 3 times x to the power of 3 times x to the power of 3 is not equivalent to an expression x to the power of 3 times 3 times 3.
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Which operation is NOT closed for polynomials?
es )))
A)
add a trinomial to a trinomial
B)
divide a binomial by a trinomial
Use the net to find the surface area of the cube. HELP PLEASE!!!
To find area of 1 square = 4 × 4 = 16 cm²
There are total 6 squares therefore = 16 × 6 = 96 cm²
In Palsgraph v. Long Island Railroad Co., the court decided that the railroad employees conduct was not wrong in relation to Ms. Palsgraph but did not decide the conduct was negligent toward the man with the package. If the court determined that the railoraod employee was negligent with regard toward the man with the package, would the railroad have been liable for the injury to Palsgraph? g
If the court determined that the railroad employee was negligent towards the man with the package, it would not automatically make the railroad liable for the injury to Palsgraph; liability would depend on establishing a duty of care, breach, causation, and damages specific to Palsgraph's situation
In negligence cases, to establish liability, the plaintiff must prove that the defendant owed them a duty of care, that the defendant breached that duty, and that the breach directly caused the plaintiff's injuries or damages. Additionally, the plaintiff must show that they suffered actual harm or damages as a result of the defendant's actions.
In Palsgraph g. Long Island Railroad Co., the court decided that the railroad employee's conduct was not negligent towards Ms. Palsgraph, and therefore the railroad was not liable for her injury. However, if the court had determined that the railroad employee was negligent towards the man with the package, it would only establish negligence towards him and not automatically make the railroad liable for Palsgraph's injury. Palsgraph would still need to establish that the railroad owed her a duty of care, that the duty was breached, and that the breach caused her specific harm or damages. The focus would be on establishing a duty of care and causation specific to Palsgraph's situation, separate from the negligence towards the man with the package.
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Alex painted 178 ft2 of his apartment’s walls with 13 1 3 gallon of paint. He has 2 gallons of paint in all. If he wants to cover 1,000 ft2 of his apartment, does he have enough paint? Complete a true statement
From multiplcation operation, Alex has enough paint to cover 1,000 ft² of his apartment. The true statement is 2 gallons of paint will cover 1068 ft², Alex have enough paint of quantity 2 gallons.
We have Mr. Alex painted his apartment. Area of his apartment'walls = 178 ft²
Quantity of paint used by him to paint his apartment'walls with area 178 ft² =\( \frac{1}{3} \: \: gallons\)
Total quantity of paint used in all
= 2 gallons
We have to check the provide paint is enough or not to cover 1,000 ft² of his apartment. Let the required paint for 1000 ft² be x gallons. Using multiplcation, 1/3 gallons quantity of paint will cover the area of apartment = 178 ft², so, 1 gallons quantity of paint will cover the area of apartment = 178 ×3 ft²= 534 ft²
Now, 2 gallons quantity of paint will cover the area of apartment = 2× 534 ft² = 1068 ft²> 1000 ft²
But he wants to paint 1000 ft² of his apartment in 2 gallons quantity (x=1.9 gal ). So, he has enough paint to paint his apartment.
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Complete question:
The above figure complete the question.
Alex painted 178 ft2 of his apartment’s walls with 1/3 gallon of paint. He has 2 gallons of paint in all. If he wants to cover 1,000 ft2 of his apartment, does he have enough paint? Complete a true statement
what are the factors of 48 and 53
Answer:
Factors for 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.
Factors for 53: 1 and 53.
Sally has saved three thousand five hundred cents from selling lemonade. How many dollars does sally have?
Answer: 35 dollars
=========================================
Work Shown:
100 cents = 1 dollar
1 cent = 0.01 dollar (divide both sides by 100)
3500 cents = 35 dollars (multiply both sides by 3500)
------
A shorter way is to divide 3500 over 100 to get 3500/100 = 35 dollars.
Answer: 35.00 dollars
Step-by-step explanation:
1. Move the deciaml 3500
2. Move it twice over. 35.00
3. 35.00 is how much that girl sally saved
What are the exact values of a and b?
By using trigonometric relations, we will see that:
a = 7/2, b = (7*√3)/2
So the correct option is the second option, counting from the top.
What are the exact values of a and b?
Here we have a right triangle where we only know the value of the hypotenuse and one of the angles, and we want to find the measures of both of the legs (also known as cathetus).
Then we will use the two relations:
cos(θ) = (adjacent cathetus to the angle)/(hypotenuse)
With that relation we can find the value of b:
cos(30°) = b/7
cos(30°)*7 = b = (7*√3)/2
The other relation we will use is:
sin(θ) = (opposite angle to the given angle)/(hypotenuse)
With that we can get the value of a:
sin(30°) = a/7
sin(30°)*7 = a = 7/2
Then the correct option is:
a = 7/2, b = (7*√3)/2
Which is the second option, counting from the top.
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Lauren bikes 4/3 miles in 1/10 hour. How long does it take her to bike one mile?
3/40 hours
40/3 hours
2/15 hours
15/2 hours
Part A
Consider this equation.x-4=16 What is the
how you got your answer. Enter
solution to the equation? Show or explain
provided.
your answer and your work or
explanation in
the space provided.
Answer:
x = 20
Step-by-step explanation:
Given:
\(\diplaystyle \large{x-4=16}\)
Add both sides by 4 because we want to find x-term so we have to isolate it. The reason why we have to add 4 both sides because it’s the equation, telling that LHS is equal to RHS so if one of the sides change, another side will change the same to that side as well:
\(\displaystyle \large{x-4+4=16+4}\\\\\displaystyle \large{x=20}\)
Now x-term is isolated, therefore, the value of x is 20.
2(x-y) and 2x-2y THATS my question pls help
Step-by-step explanation:
2(x -y) + 2x - 2y
2x - 2y + 2x - 2y
2x + 2x -2y - 2y
4x - 4y