Step-by-step explanation:
Equation (1) is :
x+2=5
Subtract 2 from both sides,
x+2-2=5-2
x=3
Equation (2) is :
2n+5=n
Taking like terms together,
2n-n=-5
n=-5
Equation (3) is :
5(x+2)-7=3x+5
⇒5x+10-7=3x+5
taking like terms together,
5x-3x=5-10+7
⇒2x=2
x=1
Hence, x =3, n = -5 and x = 1 is the required answer.
Brady and 3 friends went to lunch at Mazzio’s Pizza. Their meal cost $32, and they left a 15% tip. How much was the total bill, including tip? Can someone please explain it to me how to do it?
Answer: $36.8
Step-by-step explanation:
From the question, we are told that Brady and 3 friends went to lunch at Mazzio’s Pizza and that their meal cost $32, and they left a 15% tip. Their total bill will be $32 plus 15% of $32. This can be written mathematically as:
= $32 + (15% of $32)
= $32 + (15/100 × $32)
= $32 + (0.15 × $32)
= $32 + $4.8
= $36.8
Their total bill is $36.8
Help me with the 3 answers please
Answer:
I think
A) 15
B) 20
C) 40
Step-by-step explanation:
If you complete each square then divide your answer for the new completed side by 2 then add it to the whole then you should get your answer.
For example square one. Make a new line going down the right side the same as the left and now you have 1 square and 2 triangles.
Then close off each side triangle to make it a square which would look like a triangle was sandwiched on top of it to make it a square.
Now your base of 7 on the bottom is actually 2+3+2=7 because the segment on top breaks up the 7 into 3 in the middle and 2 on each other side.
So essentially you now have a 2 by 3 next to a 3 by 3 next to a 2 by 3 again.
Solve for the sides and divide those by two to get your area for those 2 sides.
which gives us 3 because 2x3=6 6/2=3
For each side added you get 3+3=6 So now all you need is the middle square which is 3x3=9
This gives us 6+9=15
This is how you would do the other 2 squares. Finish the triangle to make it a square to get the area for that. Then divide by 2.
The easiest way to do it without much math
I think
The complex number \( 3-3 \) i in trogonometric form is: a. 23 cis \( 330^{\circ} \) b. 23 cis \( 30^{\circ} \) c. 23 cis \( 60^{\circ} \) d. 23 cis \( 300^{\circ} \)
a newsletter publisher believes that 78% of their readers own a rolls royce. is there sufficient evidence at the 0.02 level to refute the publisher's claim? state the null and alternative hypotheses for the above scenario.
There is not enough information provided to determine if there is sufficient evidence at the 0.02 level to refute the publisher's claim. The null hypothesis is that proportion of readers owning a Rolls Royce is equal to 0.78 and alternative hypothesis is that proportion of readers owning a Rolls Royce is not equal to 0.78.
To determine if there is sufficient evidence at the 0.02 level to refute the newsletter publisher's claim that 78% of their readers own a Rolls Royce, we need to conduct a hypothesis test. Here are the null and alternative hypotheses for this scenario:
Null Hypothesis (H0): The proportion of readers who own a Rolls Royce is equal to 0.78 (P = 0.78)
Alternative Hypothesis (H1): The proportion of readers who own a Rolls Royce is not equal to 0.78 (P ≠ 0.78)
To test these hypotheses, follow these steps:
1. Collect a random sample of readers and record the number of Rolls Royce owners in the sample.
2. Calculate the sample proportion (p-hat) of Rolls Royce owners.
3. Calculate the test statistic using the formula: z = (p-hat - P) / sqrt(P * (1-P) / n), where P is the claimed proportion (0.78) and n is the sample size.
4. Determine the critical value for a two-tailed test at the 0.02 significance level (α = 0.02), which is approximately ±2.576 (from a z-table or calculator).
5. Compare the test statistic (z) to the critical value. If the test statistic is greater than or equal to the critical value or less than or equal to the negative critical value, reject the null hypothesis in favor of the alternative hypothesis. If not, fail to reject the null hypothesis.
Based on the results, you can determine if there is sufficient evidence to refute the publisher's claim at the 0.02 significance level. However, just based on the given information, there is not enough information to determine if there is sufficient evidence at the 0.02 level to refute the publisher's claim. We need the sample size.
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2. Which system of inequalities are represented by the graph below:
a) y 2x + 4
y<-x + 4
b) y> 2x + 4
y <-X + 4
c) Y S-2x + 4
y>X-2
d) y 2x + 4
YS-X+4
tem of equations have?
Answer:
12
Step-by-step explanation:
Use the slope-intercept form y=mx+b to find the slope m and y-intercept b
.
Slope: 12
y-intercept: (0,−2)
$1111 at 11% for 11 years
Answer:
$1344.31
Step-by-step explanation:
1111*0.11*11=1344.31
ANSWER BRAINLIEST:
Kim asked 6 friends how many siblings they had. The responses were: 0, 3, 2, 1, 1, 2, 3.
Find the MEAN ABSOLUTE DEVIATION (MAD) of the responses.
Answer:
number 1 will be the Mean absolute deviation
what is 6 times the sum of a number and 1 is the quotient of 24and 4
Answer:
Step-by-step explanation:
Answer: 42
1: 24/4=6
2: 6+1=7
3: 7*6=42
please help me solve this !
The equation of a function f(x) = x² -4x -12 in the vertex form is f(x) = (x -2)² -16 and the value of the a = 1, h = 2, and k = -16
What is a quadratic equation ?Any equation of the form \(\rm ax^2+bx+c=0\) Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
We have a quadratic equation:
f(x) = x² -4x -12
f(x) = x² -4x -12 + 4 -4
f(x) = (x -2)² -16
Here a = 1, h = 2, and k = -16
Thus, the equation of a function f(x) = x² -4x -12 in the vertex form is f(x) = (x -2)² -16 and the value of the a = 1, h = 2, and k = -16
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Translate this phrase into an algebraic expression, Nine more than the quotient of a number and 7 is 6
Answer:
x/7 + 9 = 6
Step-by-step explanation:
Hope this helps! Please give brainliest!
which of the following statements summarizes a general rule about independent samples with equal variance? group of answer choices when the variance of one sample is divided by the variance of the other sample the quotient is greater than 2 or less than 0.5 we assume equal variance for independent samples. independent samples always have unequal variance. when the variance of one sample is divided by the variance of the other sample the quotient is between 0.5 and 2
The rule for independent samples with equal variance is that the quotient of their variances falls between 0.5 and 2 is the correct answer.
The statement that summarizes a general rule about independent samples with equal variance is: "When the variance of one sample is divided by the variance of the other sample, the quotient is between 0.5 and 2."
This statement reflects the common assumption made in statistical analysis that when dealing with independent samples, the variances of the two samples are approximately equal. This assumption allows for certain statistical tests, such as t-tests, to be applied to compare the means of the samples.
If the quotient of dividing one sample's variance by the other sample's variance falls within the range of 0.5 to 2, it suggests that the variances are not significantly different from each other. This assumption of equal variance simplifies the statistical analysis and allows for more reliable and accurate comparisons between the samples.
It's important to note that this assumption may not always hold true, and there are statistical techniques available to handle cases where the assumption of equal variance is violated.
Therefore, as a general rule, assuming equal variance between independent samples within the range of 0.5 to 2 is a common practice in statistical analysis.
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What is the value of -2 to the power of 4
We can find the value if we write the complete expression:
\((-2)^4=(-2)\cdot(-2)\cdot(-2)\cdot(-2)\)Considering only two factors at a time, and knowing that - * - = +, we have:
\((-2)\cdot(-2)\cdot(-2)\cdot(-2)=4\cdot4=16\)Therefore, (-2)^4 = 16
Answer:
-16!!
-2x-2x-2x-2= -16.
Evaluate 4(a2+2b)-2 when a = 2 and b =-2
Answer: -2
Explanation 》》》》》》》》》》
4×(2×2+2×-2)-2
=4×(4-4) -2
=4×0 -2
= -2
Find the perimeter of the following figure
plsplspls
Answer:
30+4x
Step-by-step explanation:
Well, break it up into pieces: two rectangles.
One advantage of acceptance sampling is its applicability to logistics and materials management. True or false
Acceptance sampling allows for the inspection of a subset of items from a larger batch, making it suitable for logistics and materials management. It provides a cost-effective way to assess the quality of incoming materials or products, ensuring they meet specified criteria.
In logistics, acceptance sampling helps in verifying the quality of received shipments without the need to inspect every single item. By sampling a representative subset, logistics personnel can quickly assess whether the materials or products meet the required standards. This enables efficient decision-making regarding acceptance, rejection, or further inspection. In materials management, acceptance sampling aids in maintaining quality control throughout the supply chain. By implementing sampling plans at different stages, organizations can identify potential issues early on and take corrective actions,
Reducing the risk of defects or substandard materials reaching the production line. Overall, acceptance sampling enhances efficiency, reduces costs, and facilitates effective logistics and materials management by providing a systematic approach to quality control and inspection.
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The midpoint of overline AB is M(-4, -3). If the coordinates of A are (-1, -2) what are the coordinates of B?
Answer:
(-2.5,-2.5)
Step-by-step explanation:
(-4+-1)÷2=-2.5
(-3+-2)÷2=-2.5
Answer:
(-7, -4)
Step-by-step explanation:
Equating A and B to the Midpoint (M) :
(-4, -3) = (-1 + x / 2, -2 + y / 2)Equations formed :
-1 + x / 2 = -4-1 + x = -8x = -72. -2 + y / 2 = -3
-2 + y = -6y = -4Coordinates of B :
(x, y)(-7, -4)Write an expression that can be a rule for the number sequence below.
5, 9, 13, 17, 21, …
The possible expression that can be a rule for the number sequence is:\($a_n = 4n + 1$\),
What is expression?As an illustration, the expression x + y is one where x and y are words with an addition operator in between. There are two types of expressions in mathematics: numerical expressions, which only comprise numbers, and algebraic expressions, which also include variables.
According to question:
One possible expression that can be a rule for the number sequence is:
\($a_n = 4n + 1$\), where n is the position of the term in the sequence.
Using this expression, we can find the values of the first few terms as follows:
\($a_1 = 4(1) + 1 = 5$\)
\($a_2 = 4(2) + 1 = 9$\)
\($a_3 = 4(3) + 1 = 13$\)
\($a_4 = 4(4) + 1 = 17$\)
\($a_5 = 4(5) + 1 = 21$\)
Thus, possible expression that can be a rule for the number sequence is:\($a_n = 4n + 1$\),
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Answer:
5n, where n is equal to 0, 1, 2, 3, 4
Step-by-step explanation:
5, 9, 13, 17, 21,
Resuelve el siguiente polinomio aritmético: 200 – (74 + (720/9) + 44 + 16 x (4 + 6 – 8 x 2) - (42/2) + 70) – 2
Answer:
47
Step-by-step explanation:
PEMDAS - Parenthesis, Exponential, Multiplication, Addition, Subtraction
200 – (74 + (720/9) + 44 + 16 x (4 + 6 – 8 x 2) - (42/2) + 70) – 2
200 – (74 + 80 + 44 + 16 x (-6) - 21 + 70) – 2
200 – (74 + 80 + 44 - 96 - 21 + 70) – 2
200 – 151 – 2
47
hey please help with giving brainliest
Answer:
I think second bullet point
Step-by-step explanation:
Answer:
B adjacentStep-by-step explanation:
angles aren't complementary because complementary angles add up to 90 and we don't know the values.
they are not vertical because they are not vertical to each other
I hope this helped you :)
PLSS HELPP ITS DO IN A FEW MINUTES
Answer:
10%.
Step-by-step explanation:
Part II: 2nd Order Initial-Value ODE [20 points) Solve the following initial value problem using Euler's method over the interval from x= 0 to x= 0.4 using 2 integration steps. The initial conditions for this problem is y(0)= 2, and y (O)=- 4. y" + 3y' – 4y + 12e-2x = 0 Hint: Convert the 2nd order ODE into a system of 1st order ODE equations and solve them simultaneously.
Given 2nd order Initial-Value ODE as, y" + 3y' – 4y + 12e-2x = 0Convert the 2nd order ODE into a system of 1st order ODE equations as follows:Let y'=zdy/dx = dz/dxSo, y" = d²y/dx² = d/dx(dz/dx) = dz²/dx².
Again, the equation becomes, dz²/dx² + 3z – 4y + 12e^(-2x) = 0The given Initial values for the problem is:y(0) = 2y'(0) = -4Therefore, using Euler's Method, over the interval from x = 0 to x = 0.4 and using 2 integration steps,We can say that the h = 0.2 (since we are taking 2 integration steps and the interval is from 0 to 0.4, which gives 0.4/2 = 0.2)So, the Main answer is:
Given y" + 3y' – 4y + 12e-2x = 0 Initial values:y(0) = 2, y'(0) = -4We know that, y'=zdy/dx = dz/dxSo, y" = d²y/dx² = d/dx(dz/dx) = dz²/dx²Now, dz²/dx² + 3z – 4y + 12e^(-2x) = 0.
We need to solve this system of first-order differential equations by applying Euler's method to find out the value of y at x=0.2 and x=0.4.
Substituting h = 0.2 in the above equations and using Euler's Method, we getThe first step is: x = 0, y = 2, z = -4 Therefore, z1 = z0 + h (-4).
Substituting the values we get, z1 = -4 – (0.2) (3) ( -4) – (0.2) (4) ( 2 + 12 e^(-2(0)) ) = -2.12So, the value of z at x=0.2 is -2.12. Similarly, we can get the value of y at x=0.2 using Euler's method.The second step is: x = 0.2, y = 1.56, z = -2.12Therefore, z2 = z1 + h ( -2.12 ).
Substituting the values we get,z2 = -2.12 - (0.2) (3) ( -2.12) - (0.2) (4) ( 1.56 + 12 e^(-2(0.2)) ) = -1.3148So, the value of z at x=0.4 is -1.3148.Similarly, we can get the value of y at x=0.4 using Euler's method.
Hence, the required answer is, y (0.4) = 0.2281
Solve the given initial value problem using Euler's method over the interval from x = 0 to x = 0.4 using 2 integration steps.
The given initial conditions for this problem is y(0) = 2, and y'(0) = -4. The 2nd order ODE is given as y" + 3y' – 4y + 12e-2x = 0.
We need to convert this 2nd order ODE into a system of 1st order ODE equations. Let y' = z. Therefore, dy/dx = dz/dx. So, y" = d²y/dx² = d/dx(dz/dx) = dz²/dx². Substituting these values in the given equation, we get dz²/dx² + 3z – 4y + 12e^(-2x) = 0.
To solve this system of first-order differential equations, we will apply Euler's method to find out the value of y at x=0.2 and x=0.4. Substituting h = 0.2 in the above equations and using Euler's Method, we get the values of y and z at x=0.2 and x=0.4.
Therefore, the required answer is y (0.4) = 0.2281. Hence, the solution to the given problem using Euler's method is y (0.4) = 0.2281.
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What number should be added to both sides of the equation to complete the square? x2 + 8x = 4
Answer:
2 x 2+ 8 x 0= 4
Step-by-step explanation:
Answer:
c.16
hope this helps some one, have a nice day :)
Step-by-step explanation:
i just took the quiz and got it correct
situation: the amount of water that is used for irrigation at a pistachio orchard is inversely proportional to the amount of rainfall. if they use 30,000 gallons during a month in which there is 5 inches of rain, how much water will be used in a month that has 3 inches of rain? question: what does the general variation equation look like? group of answer choices
In a month with 3 inches of rain, 50,000 gallons of water will be used for irrigation at the pistachio orchard.
The general variation equation for an inverse variation relationship is:
y = k/x
In this equation, y represents the dependent variable (amount of water used for irrigation), x represents the independent variable (amount of rainfall), and k is the constant of variation.
In the given scenario, the amount of water used (y) is inversely proportional to the amount of rainfall (x). We are given that they use 30,000 gallons of water when there are 5 inches of rain. Plugging these values into the general variation equation, we get:
30,000 = k/5
To find the value of k, we can solve for it by multiplying both sides of the equation by 5:
k = 30,000 * 5 = 150,000
Now that we know the value of k, we can use the general variation equation to find the amount of water used in a month with 3 inches of rain:
y = 150,000/3
Simplifying this, we find:
y = 50,000
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Can someone help me prove 1 and 2. I will reward brainliest if done asap.
Answer:
Here is your answer, this is how you prove it
Use a calculator to graph the functions y = –3|x – 2| and y = x3 – 3x – 3. How many points of intersection do the functions share?
0
1
2
3
They have 3 intersections
Answer:
They have 3 intersection
Step-by-step explanation:
If you graph the functions they would have 3 intersections
2. Write the equation of the line in slope-intercept form given the following:b= -4, m=1/5
Slope means inclination of the line
Intercept means the point where the line cuts the y axis
general form of the quation is
y= mx + b. Here m is the slope(inclination) , and b is intercept
then replace m=1/5. b=-4
y=(1/5)x + (-4) = (1/5)x -4
El producto notable de (x+2y) (x-2y) es
Answer: El producto notable de (x + 2y) (x - 2y) es x^2 - (2y)^2, que se puede simplificar a x^2 - 4y^2.
Step-by-step explanation:
I have 8 edges.
Four of my faces are
triangles.
I am a solid figure.
What is the answer to this question?
The solid figure that has 8 edges and four triangular faces is a pyramid.
Tara bought 2 bottles of jucie a day for 15 days. on the 16th day, Tara bought 7 bottles write an expression that matches the words
Answer:
15 x 2 + 7
Step-by-step explanation:
Tara bought 2 bottles for 15 day.
Total bottles bought = 15 x 2
Tara bought 7 bottles on the 16th day:
Total bottles bought = 15 x 2 + 7
on january 1, year 1, billy co signed a three-year lease for office space. the lease required monthly rent of $8,000 for the first year, $8,100 fo rhte second year
If on january 1, year 1, billy co signed a three-year lease for office space The amortization expense on this leasehold improvement that Billy should record for Year 2 is: $1,000.
How to find the amortization expense?Since we were told that the new overhead lighting fixtures is the amount of $2,000 now let determine the Amortization expense using this formula
Amortization expense = New overhead lighting fixtures / 2 years
Let plug in the formula
Amortization expense = $2,000 /2
Amortization expense = $1,000
Therefore the Amortization expense is the amount of $1,000.
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The complete question:
On January 1 , Year 1, Billy Co. signed a three year lease for office space. The lease required monthly rent of 8,000 for the first year. 8,100 for the second year and 8,200 for the 3rd year. Billy has the option to renew the lease for a fourth year at 8,300 per month. On January 1, Year 2, Billy permanently installed new overhead lighting fixtures at a cost of $2,000. How much amortization expense on this leasehold improvement should Billy record for Year 2?