Answer:
Step-by-step explanation:try using quizlet
please help me solve this equation i need step by step explaining 3x + 2= x+4(x+2)
Identify the graph of the inequality 2(2x-1)+7< 13 or -2x+5-10.
From the resulting solution, the correct linear inequality graph is Graph C.
Solving inequality expressionGiven the inequality equation below:
2(2x-1)+7< 13 or -2x+5 ≤ -10.
Simplify the expression
2(2x-1)+7< 13
Expand
4x - 2 + 7 < 13
4x + 5 < 13
4x < 13 - 5
4x < 8
x < 2
For the inequality -2x+5 ≤ -10.
-2x+5 ≤ -10
-2x ≤ -15
x ≥ 7.5
Hence the solution to the given system of inequalities are x < 2 and x ≥ 7.5
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I need help please.
6/13=7;b=91 is it a equation or solution
Answer:
I think its a equation the solution is what the equation equals like the answer to it
Step-by-step explanation:
Im not that sure sorry
Which of the following expressions cannot be simplified?
1. √24
2. √32
3. √ 27
4. √ 38
Answer:
Number 4
Step-by-step explanation:
Pls help it’s for my homework
Answer: I think it is 5
Therefore, The Volume of ORNAMENT ( B ) is 5^3 = 125 TIMES LARGER than the VOLUME of ORNAMENT ( A ).
Hence, The VOLUME of ORNAMENT (B) is 125 TIMES LARGER than the VOLUME of ORNAMENT (A).
Step-by-step explanation:MAKE A PLAN:
We know that the Height of ORNAMENT ( B ) is FIVE (5) Times Larger than the Height of ORNAMENT ( A ). We need to Find the Ratio of their Volumes.
SOLVE THE PROBLEM:1) - Let the height of Ornament ( A ) be hA and the height of Ornament
( B ) be, hB
2) - We know the hB = 5 * hA
3) - Since the Ornaments are Mathematically Similar, Their Volumes are Proportional to the Cube of their heights.
4) - Calculate The Ratio of their Volumes:
(hB )^3 / (hA )^3 (5 * hA )^3 / (hA )^3
Draw the conclusion:Therefore, The Volume of ORNAMENT ( B ) is 5^3 = 125 TIMES LARGER than the VOLUME of ORNAMENT ( A ).
Hence, The VOLUME of ORNAMENT (B) is 125 TIMES LARGER than the VOLUME of ORNAMENT (A).
I hope this helps you!
The dimensions of a triangle with base 10 in. and height 4.8 in. are multiplied by 4. How is the area affected?
Answer:
It gets 4 times larger.
Step-by-step explanation:
what’s the rule for the transformation
50 Points! Multiple choice algebra question. Photo attached. Thank you!
Answer:
subsidiaries hi sus
Step-by-step explanation:
scientific 2 is the answer
Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x) = 7x ^ 2 + 2x + 3 at x = 1
Answer:
16
Step-by-step explanation:
Step 1: Write down the function \(f(x)=7x^2+2x+3.\)
Step 2: Write down the limit definition of the derivative:
\(f'(x)= lim_{h0} \frac{f(x+h)=f(x)}{h} .\)
Step 3: Substitute the function \(f(x)\) into the limit definition:
\(f'(x)=lim_{h0} \frac{(7(x+h)^2+2(x+h)+3)-(7x^2+2x+3)}{h}.\)
Step 4: Simplify the expression inside the limit:
\(f'(x)=lim_{h0}\frac{7x^2+14xh+7h^2+2x+2h+3-7x^2-2x-3}{h} .\)
Step 5: Combine like terms:
\(f'(x)=lim_{h0} \frac{14xh+7h^2+2h}{h} .\)
Step 6: Factor out an \(h\) from the numerator:
\(f'(x)=lim_{h0} \frac{h(14x+7h+2h}{h} .\)
Step 7: Cancel out the \(h\) in the numerator and denominator:
\(f'(x)=lim_{h0}(14x+7h+2).\)
Step 8: Evaluate the limit as \(h\) approaches 0:
\(f'(x)=14x+2.\)
Step 9: Substitute \(x=1\) into the derivative:
\(f'(1)=14(1)+2=14+2=16.\)
The Slope of the tangent line to the curve \(f(x)=7x^2+2x+3\) at \(x=1\) would be \(16.\)
Question 2
No calculations are necessary to answer this question.
3/01
3/02
$1.7420 $1.7360
Date
July GBP Futures
Contract Price
O long; long
Based on the closing prices of July GBP Futures Contract over the 3-day period in March 20XX as shown above, you shou
position on 3/01 and a position on 3/02.
O long; short
O short; short
3/03
short; long
$1.7390
The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.
HELP ASAP TEST SOON IMMA FAIL THAT B! HELLLPPPPP! DUE IN 10 MINS HELP! 1. What equation is represented on the graph below?
Step-by-step explanation:
1 is the starting point since it is on the the axis.
then you would use the rise over run method to get the fraction. it rises by two and runs by 1 which would get you 2/1. so the answer should be y=1+2/1
(it is an addition sign since it is a positive slope)
Greg has a table that is 3.75 meters in length. He wants to make a tablecloth that is 20 centimeters longer on each end than the table. What steps should Greg use to determine the correct number of centimeters to make the tablecloth
Answer:
Use (3.75×100/1) and then add 40.
Step-by-step explanation:
I hope you pass. Can you mark me the Brainliest?
Plz help me
What are the coordinates of point Q?
A.-4 2 1/2
B.-2 1/2 4
C. -2 1/2 4
D.4,2 1/2
Determine if the equation given in slope-intercept form represents the graph. If the equation is correct support your reasoning with why it is correct. if the equation is incorrect give the correct slipe-intercept form explaining how you determined it
Since the y-intercept of the line is (0,1) and the line passes through the point (2,4) which is also satisfied by the equation of the line, the given equation represents the graph of the line.
What is the slope-intercept form of a line?The slope-intercept form of a line is y = mx +c where m is the slope of the line and c is the y-intercept.
The given equation of the line is y = (3/2)x + 1.
To find the y-intercept of the line, substitute x = 0 into the given equation,
y = (3/2)(0) + 1
y = 1
Note that the y-intercept of the graph of the line is also 1.
The graph of the line passes through points (2,4).
To verify whether the equation satisfies the coordinates of (2,4) or not, substitute the coordinates of the point into the given equation:
4 = (3/2)(2) + 1
4 =4
The equation is true.
Hence, it can be said that the given equation represents the graph of the line.
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ng Composite Functions
Given: f(x) = x - 7 and h(x) = 2x + 3
Write the rule for f(h(x)).
Answer:
f(h(x)) = 2x - 4
General Formulas and Concepts:
Algebra I
Composite FunctionsCombining Like TermsStep-by-step explanation:
Step 1: Define
f(x) = x - 7
h(x) = 2x + 3
f(h(x)) is x = h(x)
Step 2: Find f(h(x))
Substitute: f(h(x)) = (2x + 3) - 7Combine like terms: f(h(x)) = 2x - 4Estimate the sum of the weights of Frailyn 10.2 pounds +611/12 pounds. Which statements are true about the estimate CHECK ALL THAT APPLY
The graph below shows the line y=[x]. If the line y=|x|*2 were graphed on the same grid, hc would it compare to the line shown in the graph below.
The graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.
How to identify the transformation?The functions for this problem are defined as follows:
Parent function: y = |x|.Transformed function: y = 2|x|.When a function is multiplied by 2, we have that it is vertically stretched by a factor of 2.
Hence the graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.
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The residual plot shows the residuals for the day of the month and the amount in Kali’s checking account. Which statement best assesses the linearity of the relationship between the day of the month and account balance if the scatterplot appears to be reasonably linear?
A) Because the residual plot has an obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.
B) Because the residual plot has an obvious pattern, and the scatterplot appears linear, it is not appropriate to use the line of best fit to predict the account balance based on the day of the month.
C) Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.
D) Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is not appropriate to use the line of best fit to predict the account balance based on the day of the month.
The best assessment of the linearity of the relationship between the day of the month and account balance would be "Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month."The correct answer is option C.
When assessing linearity, it is important to examine both the scatterplot and the residual plot. The scatterplot is used to visualize the relationship between the variables, while the residual plot helps us assess the appropriateness of a linear model by examining the pattern of the residuals (the differences between observed and predicted values).
If the scatterplot appears reasonably linear, it suggests that there is a linear relationship between the variables. In this case, since the scatterplot appears linear, it supports the use of a linear model to predict the account balance based on the day of the month.
Furthermore, the residual plot is used to check for any patterns or systematic deviations from the line of best fit. If the residual plot exhibits no obvious pattern and the residuals appear randomly distributed around zero, it indicates that the linear model captures the relationship adequately.
Therefore, if the residual plot shows no obvious pattern, it provides further evidence in favor of using the line of best fit to predict the account balance based on the day of the month.
In conclusion, when the scatterplot appears linear and the residual plot shows no obvious pattern, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.
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Answer:
person above
Step-by-step explanation:
the obvious
To pay for an 18,800 motorcycle, Salma made a down payment of 3500 and took out a loan for the rest. On the loan, she paid monthly payments of for 5 years.
Salma borrowed $15,300 and paid $295.24 per month for 5 years to pay off the loan.
What is loan?
In a loan, a certain quantity of money is given to another person in exchange for the value or main amount being repaid at a later date. In many circumstances, the lender increases the principal value by adding interest or finance charges, which the borrower must pay in addition to the principal sum.
To find out how much Salma borrowed, we can subtract her down payment from the cost of the motorcycle -
Loan amount = Cost of motorcycle - Down payment
Loan amount = 18,800 - 3,500
Loan amount = 15,300
Salma paid monthly payments for 5 years, which is equivalent to 60 months.
To calculate the monthly payments, we need to use the loan amount, the interest rate, and the loan term.
Let's assume the interest rate is 6%, which is a common rate for motorcycle loans.
We can use a loan calculator to find out the monthly payments -
Loan amount = 15,300
Interest rate = 6%
Loan term = 60 months
Using a loan calculator, we get a monthly payment of $295.24.
Therefore, Salma borrowed $15,300 and paid $295.24 per month.
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A deli wraps its cylindrical containers of hot food items with plastic wrap. The containers have a diameter of 5.5 inches and a height of 3 inches. What is the minimum amount of plastic wrap needed to completely wrap 8 containers? Round your answer to the nearest tenth and approximate using π = 3.14.
51.8 in2
99.3 in2
595.8 in2
794.4 in2
The minimum amount of plastic wrap needed to completely wrap 8 containers is 794. 4 in². Option D
What is the minimum amount?The area of each circular end is:
A = πr²
A = 3.14 × (2.75)²
A = 23.68in²
The area of the rectangular side is:
A = h * circumference
circumference = 5.5in * π
circumference = 17.27in
Using the given height of 3 inches, we get:
A = 3in * 17.27
A = 51.81in²
Therefore, the total surface area of each container is:
A = 2 * 23.68 + 51.81
A = 98.17in²
To wrap 8 containers, we need to multiply the surface area of each container by 8:
Total surface area = 8 × 98.17
Total surface area = 794. 4 in²
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A student makes a number of measurements of electrical current in the circuit. The average of the measurements is 12.33 mA. The standard deviation of the sample is 0.14 mA. How should this measurement be written to the correct number of significant figures with error range to show a 95% confidence
Answer:
The way to represent this it is
\( 12.33 - \frac{0.27}{\sqrt{n} } < \mu < 12.33 + \frac{0.27}{\sqrt{n} } \)
Step-by-step explanation:
From the question we are told that
The sample mean is
The standard deviation is
Given that the confidence level is 95% then the level of significance is mathematically represented as
\(\alpha = (100-95)\)
\(\alpha = 0.05\)
The critical value for \(\frac{\alpha }{2}\) is obtained from the normal distribution table that value is
\(Z_{\frac{\alpha }{2} } = 1.96\)
Now the margin of error is mathematically represented as
\(E = Z_{\frac{\alpha }{2} } * \frac{s}{\sqrt{n} }\)
\(E = \frac{0.27}{\sqrt{n} }\)
Now the error range to show a 95% confidence is mathematically represented as
\(\= x - E < \mu < \= x + E\)
\( 12.33 - \frac{0.27}{\sqrt{n} } < \mu < 12.33 + \frac{0.27}{\sqrt{n} } \)
Here notice that the significant figure is keep to three to match the significant figure of the given values
1. Consider the following observations on shear strength of a joint bonded in a particular manner: 30.0 44.0 33.1 66.7 81.5 22.2 40.4 16.4 73.7 36.6 109.9
a)Find sample mean (2 points),
b)Find sample variance (3 points)
c) Find sample median (2 points).
Assuming that the observations in problem one are normally distributed estimate a 95% confidence interval for the population mean of shear strength of a joint bonded in a particular manner. (10 points)
The 95% confidence interval for the population mean of shear strength of a joint bonded in a particular manner is (34.4, 69.8). Sample Mean is 52.1, Sample Median is 42.2, Sample Variance is 1264.87 ,
a) Sample Mean = [(30.0 + 44.0 + 33.1 + 66.7 + 81.5 + 22.2 + 40.4 + 16.4 + 73.7 + 36.6 + 109.9)/11] = 52.1
b) Sample Variance = [(30.0 - 52.1)2 + (44.0 - 52.1)2 + (33.1 - 52.1)2 + (66.7 - 52.1)2 + (81.5 - 52.1)2 + (22.2 - 52.1)2 + (40.4 - 52.1)2 + (16.4 - 52.1)2 + (73.7 - 52.1)2 + (36.6 - 52.1)2 + (109.9 - 52.1)2] / (11 - 1) = 1264.87
c) Sample Median = (40.4 + 44.0)/2 = 42.2
Assuming that the observations in problem one are normally distributed, the 95% confidence interval for the population mean of shear strength of a joint bonded in a particular manner can be estimated as follows:
Mean ± (1.96 * (Standard Deviation/√n))
Mean = 52.1
Standard Deviation = √1264.87 = 35.5
n = 11
Therefore, 95% confidence interval = 52.1 ± (1.96 * (35.5/√11))
95% confidence interval = 52.1 ± 17.7
Therefore, 95% confidence interval = (34.4, 69.8)
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I need help not sure what to do
Answer:
x=23
(x+11)=34
(3x-35)=34
Step-by-step explanation:
Beause these angles are vertical angles, they are equal.
x+11=3x-35
subtract x from both sides
11=2x-35
add 35 to both sides
46=2x
divide both sides by 2
x=23
Answer:
x = 23
Step-by-step explanation:
x + 11 = 23 + 11 = 34
3(23) - 35 = 34
How did I get that?
x+11 = 3x - 35
x+ 11 +35 = 3x - 35 +35
x+46 = 3x
x - x + 46 = 3x + -x
46 = 2x
46 / 2 = 2x / 2
x = 23
I hope this helps!
What is the equation of the line that is perpendicular to -x+y=7 and passes through (-1,-1)?
a.-x+y=2
b.-x-y=2
c.x-y=2
d.-x-y=0
e. x+y=0
Answer:
\(-x - y = 2\).
Step-by-step explanation:
If the slope of a line in a plane is \(m\) and the \(y\)-intercept of that line is \(b\), the slope-intercept equation of that line would be \(y = m\, x + b\).
Rearrange the equation of the given line \(-x + y = 7\) in the slope-intercept form to find the slope of this line:
\(-x + y = 7\).
\(x -x + y = x + 7\).
\(y = x + 7\).
Notice that in the slope-intercept equation of this given line, the coefficient of \(x\) is \(1\). Thus, the slope of the given line would be \(m_{1} = 1\).
Two lines in a plane are perpendicular to one another if the product of their slopes is \((-1)\). In other words, if \(m_{1}\) and \(m_{2}\) are the slopes of two lines perpendicular to each other, then \(m_{1}\, m_{2} = (-1)\).
Since \(m_{1} = 1\) for the given line, the slope of the line perpendicular to this given line would be:
\(m_{2} = (-1) / m_{1} = (-1) / 1 = -1\).
If the slope of a line in a plane is \(m\), and that line goes through the point \((x_{0},\, y_{0})\), the equation of that line in point-slope form would be:
\(y - y_{0} = m\, (x - x_{0})\).
The slope of the line in question is \(m = (-1)\). It is given that this line goes through the point \((-1,\, -1)\), where \(x_{0} = (-1)\) and \(y_{0} = (-1)\). Thus, the equation of this line in point-slope form would be:
\(y - y_{0} = m\, (x - x_{0})\).
\(y - (-1) = (-1)\, (x - (-1))\).
\(y + 1 = -(x + 1)\).
Rearrange this equation to match the format of the choices:
\(y + 1 = -x - 1\).
\(x + y = -2\).
\(-x - y = 2\).
HELP PLS !% POINTS!!
Answer:
149 sq. ft
Step-by-step explanation:
For the triangle:
Base = 16-9 = 7 ft
Area of Triangle = 1/2 of b.h
= 1/2 of 7 * 6
= 21 sq. ft
Area of Rectangle = l.b
= 5 * 16
= 128 sq. ft
Total Area = 149 sq. ft
A dietitian wishes to see if a person’s cholesterol level will change if the diet is supplemented by a certain mineral. Six subjects were pretested, and then they took the mineral supplement for a 6-week period. The results are shown in the table. (Cholesterol level is measured in milligrams per deciliter.) Can it be concluded that the cholesterol level has been changed at level of 0.10? Assume the variable is approximately normally distributed.
The conclusion of the hypothesis testing is that; there is not enough evidence to support the claim that the mineral changes a person’s cholesterol level.
How to carry out hypothesis testing?Hypothesis testing is defined as the method that is used to find the probability of the hypothesis to be proved in the future on the basis of the small population sample.
Let us first define the hypothesis in this problem;
Null Hypothesis; H₀: μ_d = 0
Alternative Hypothesis; Hₐ: μ_d ≠ 0 (Claim)
The degree of freedom is;
DF = n - 1
DF = 6 - 1
DF = 5
At a significance level of α = 0.10, with a DF of 5, the critical values are ±2.015.
Using a computer software, we can calculate the mean from the attached table as;
D' = ∑d/n
D' = 100/6 = 16.7
Similarly, the standard deviation is calculated from the formula;
S_d = √(n∑d² - (∑d)²)/(n(n - 1))
s_d = √(6.489 - 100²)/(6(6 - 1))
s_d = 25.4
The test statistic is gotten from the formula;
t = (D' - μ_d)/(s_d/√n)
t = (16.7 - 0)/(25.4/√6)
t = 1.610
This is less than the critical value and we fail to reject the null hypothesis and conclude that there is not enough evidence to support the claim that the mineral changes a person’s cholesterol level.
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(a) I wanted to determine how much water my sprinkler was using, so I set out a bunch of empty cat food cans at various distances from the sprinkler and noted how high the water was in each can after one hour. My sprinkler reaches from 0 feet to 16 feet away from the sprinkler. The data are given in Table 1. The sprinkler distributes water in a circular pattern, so I assumed that points the same distance from the sprinkler received the same amounts of water. One way to use the data in Table 1 to estimate how many cubic feet of water my lawn got from my sprinkler in one hour is to write down an integral for the volume of water using the method of shells, and then use a right-endpoint Riemann sum to approximate this integral. Give your answer in decimal form rounded to the nearest cubic foot.
(b) My neighbor decided to collect the same data for her watering. Her sprinkler reaches from 0 feet to 21 feet away from the sprinkler, but she did not set out the cans at evenly spaced distances and so the calculation is a bit more complicated. The data are given in Table 2.Use the data in Table 2 to estimate how many cubic feet of water her lawn got from her sprinkler in one hour. Again, write down an integral for the volume of water using the method of shells, and then use a right-endpoint Riemann sum with subintervals of different lengths to approximate this integral. Give your answer in decimal form rounded to the nearest cubic foot.
Answer:
a) 108 ft
Step-by-step explanation:
2pi (x*f(xi)........)*deltax
x is the point in the table
so for the first three points
2pi(2*f(2)+4*f(4)+6*f(6).....)*2
and so on for the rest
make sure you convert f(x) into feet, for example (2, 2.1) do 2.1/12
first point in equation
2pi(2*(2.1/12)+....)*2
use the shell method to find the volume generated by revolving the shaded regions bounded by the curves and lines in exerciss 7-12about the y-axis
The answer is 1) V = \(2\pi\int\limits(2)+ {x} \, dx\); 2) V = \(2\pi \int\limits(1 - 2x) - 2x dx\); 3) V =\(2\pi \int\limits {\sqrt{2} } \, dx\) ; 4) V = \(2\pi\int\limits {\sqrt{(-2/2)(2-2)} \ dx\) .
1) The volume of the shell is then given by the product of the area of its curved surface and its height. The height is equal to 2 - (-2) = 4, and the radius is equal to the minimum of the distances from x = 2 to the two curves, which is x = 2 - () = 2 + . The volume of the solid is then given by the definite integral:
V = \(2\pi\int\limits(2)+ {x} \, dx\) = \(2\pi [(/3) + 2x]\) evaluated from 0 to 1 = (4/3)π.
2) The height of the region is equal to - (2x) = -2x, and the radius is equal to the minimum of the distances from x = 1 to the two curves, which is x = 1 - (2x) = 1 - 2x. The volume of the solid is then given by:
V = \(2\pi \int\limits(1 - 2x) - 2x dx\)=\(2\pi [/5 - 2/3 + /2]\) evaluated from 0 to 1 = (8π/15).
3) The height of the region is equal to (2-x) - = 2-x. The radius is equal to the minimum of the distances from x = 0 to the two curves, which is x = The volume of the solid is then given by:
V =\(2\pi \int\limits {\sqrt{2} } \, dx\) = \(2\pi [(x^4/4)]\) evaluated from 0 to √2 = (π/2).
4) The height of the region is equal to () - (2-) = 2 - 2. The radius is equal to the minimum of the distances from x = 0 to the two curves, which is x = √((2-)/2). The volume of the solid is then given by:
V = \(2\pi\int\limits {\sqrt{(-2/2)(2-2)} \ dx\) = \(4\pi [(2/3)\± (2\sqrt{2} /3)]\)
The complete Question is:
Use the shell method to find the volumes of the solids generated by revolving the regions bounded by the curves and lines in about the
1. y = x, y = -x/2, and x = 2
2. y = 2x, y = x/2, and x = 1
3. y = x/2, y = 2-x, and x = 0
4. y = 2-x/2, y = x/2, and x = 0
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7th grade math need help please will give brainliest.
Answer:
C
Step-by-step explanation:
When you add all rentals together you should get 125, after this you see what the problem is asking, in our case, the probability of not renting a drama, as said, our total is 125. When we look at how many dramas have been rented you get 25, simply, you divide 125 by 25, therefore you should get 5, so now, we know that there is a 1/5 possibility for getting it but because its not 5/5.
Thus, there should be 4/5 which is the probability of it not getting chosen.