Answer:
A positive 11
Step-by-step explanation:
11 is your answer
what is the last digit of 3 with a power of 2011
So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.
Please answer this question
Range: lowest possible y-value to the highest possible y-value
In this case, the graph spans from -4 to 1, taking on all of the y-values between those two points. But, the graph also has a straight line at y=3.
Range: -4 < y <= 1 or {3}
Hope this helps!
A TV has a listed price of $788.99 before tax. If the sales tax rate is 8.75%, find the total cost of the TV with sales tax included. Round your answer to the nearest cent, as necessary.
Answer:
$858.02
Step-by-step explanation:
Take $788.99 times 8.75% = 69.03 this is the amount of tax
Add 788.99 and 69.03 = 858.02
Answer:
the answer would be $858.03
helppppppppppppppppppppppppppppppp plz
The answer is the second image from left to right (B). Examples of direct and inverse variations are showed in the image below. :)
Your RRSP savings of $47,500 are converted to a RRIF at 3.24% compounded monthly that pays $5,294 at the beginning of every month. After how many payments will the fund be depleted? Round to the next payment
the fund will be depleted after 11 payments.
To find out after how many payments the fund will be depleted, we need to determine the number of payments using the future value formula for an ordinary annuity.
The formula for the future value of an ordinary annuity is:
FV = P * ((1 + r)ⁿ - 1) / r
Where:
FV is the future value (total amount in the fund)
P is the payment amount ($5,294)
r is the interest rate per period (3.24% per annum compounded monthly)
n is the number of periods (number of payments)
We want to find the number of payments (n), so we rearrange the formula:
n = log((FV * r / P) + 1) / log(1 + r)
Substituting the given values, we have:
FV = $47,500
P = $5,294
r = 3.24% per annum / 12 (compounded monthly)
n = log(($47,500 * (0.0324/12) / $5,294) + 1) / log(1 + (0.0324/12))
Using a calculator, we find:
n ≈ 10.29
Since we need to round to the next payment, the fund will be depleted after approximately 11 payments.
Therefore, the fund will be depleted after 11 payments.
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Find the value of z in the following equation.
z + 3z + 25 = 125
Answer:
25
Step-by-step explanation:
z+3z+25=125
4z=100
z=25
Answer: 25
Step-by-step explanation:
Combine like terms
z + 3z + 25 = 125
4z + 25 = 125
Subtract 25 on both sides
4z = 100
z = 25
1. Which diagram shows the construction of a 45° angle
Answer:
The answer is A.
Step-by-step explanation:
I pirnt the picture out and grabbed a ruler and started looking for the answer and If you look at A. with a ruler you can tell that it is a 45° angle.
Diagram of option(B) shows the construction of a 45° angle
What is arc?The arc is a portion of the circumference of a circle
In diagram of option(B),
∵ The arc constructed between two perpendicular lines
Hence, the angle is 45°
Diagram of option(B) shows the construction of a 45° angle
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Valerie, a member of the track team, runs 100 yards in 12 seconds. How fast is she moving in feet per minute?
Answer:
1500ft
Step-by-step explanation:
Ight so 60/12 is 5. So then you'd multiply 100 by 5 to get 500, therefore she is moving 500 yards per minute.
Then you'd obviously just convert that to feet which is 1500 feet.
Problems 1-5: We want to know the true proportion of students that are ok with online courses. We take a sample of 120 students, and 72 said they are ok with online courses. We want to create a 95% confidence interval. Answer the questions below:1) What is the point estimate for the population proportion?2) What is the standard error?3) What is the z score for 95% confidence?4) What is a 95% confidence interval for this data?5) What is the margin of error for this data?
Answer:
Step-by-step explanation:
ima a braintlest
adam graded ten standardized tests with the following scores: 48, 65, 72, 86, 84, 52, 93, 97, 81, 80 which standardized test score represents the 70th percentile?
Standardized test score that represents 70th percentile is 86.
Percentile is a comparison score between someone's score and the scores of the rest of the group. It tells the percentage of surpassed scores.
Data set = 48, 65, 72, 86, 84, 52, 93, 97, 81, 80
Sample size, n = 10
Now, arrange numbers in ascending order.
48, 52, 65, 72, 80, 81, 84, 86, 93, 97
Formula for percentile is,
Percentile = ( Number of Scores below 86 / Sample size ) x 100
Percentile = ( 7 /10 ) x 100
= (0.7) x 100
= 70%
Therefore, we can conclude that 70th percentile is = 86.
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A²+b²+c²= 40 , ab+bc+ca = 12 , find a³+b³+c³ - 3abc
The value of a³+b³+c³ - 3abc is approximately 22910.68.
Given equations: a²+b²+c²=40, ab+bc+ca=12
To find: a³+b³+c³ - 3abc
Using the identity (a+b+c)(\(a^2+b^2+c^2-ab-bc-ca\)) = \(a^3+b^3+c^3-3abc,\) we can rewrite the expression as:
\(a^2+b^2+c^2-ab-bc-ca\)= (a+b+c)(\(a^2+b^2+c^2-ab-bc-ca\))
Substituting the given values into the above equation, we get:
\(a^3+b^3+c^3-3abc = (a+b+c)(40-12)\)
\(a^3+b^3+c^3-3abc = 28(a+b+c)\)
To find a+b+c, we can use the equation derived from the given equations: (\(a^2+b^2+c^2)^2 = 12^2 + 2abc(a+b+c)\)
Solving for abc(a+b+c), we get: abc(a+b+c) = 783
Substituting this value in the equation for\(a^3+b^3+c^3-3abc,\) we get:
\(a^3+b^3+c^3-3abc = 28(783/(a+b+c))\)
To find a+b+c, we can solve the equation derived earlier:
40^2 = 144 + 2abc(a+b+c)
\(a+b+c = (40^2 - 144)/1566\)
Substituting this value in the equation for\(a^3+b^3+c^3-3abc\), we get:
\(a^3+b^3+c^3-3abc ≈ 22910.68\)
Therefore, the value of a³+b³+c³ - 3abc is approximately 22910.68.
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Find the absolute maximum and minimum values of the following function on the given set R.
f(x,y) = x²+-2y+1; R={(x,y): x² + y²≤9)
What is the absolute maximum value? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The absolute maximum value is (Simplify your answer.)
OB. There is no absolute maximum value.
The absolute maximum value of f(x,y) = x² - 2y + 1 on the set R={(x,y): x² + y²≤9} is (25/2). So, the correct option is OA.
We have the function,f(x,y) = x² - 2y + 1 and set R= {(x,y): x² + y²≤9}
Let's find the absolute maximum value of f(x,y) in R. Therefore, we have to check the values of f(x,y) on the boundary of R which is x² + y² = 9f(x,y) = x² - 2y + 1
Now, we need to convert the above function into a single variable function.f(x,y) = x² - 2y + 1 = x² - 2y + 9 - 8
Now, replace x² + y² = 9 in the above function to get a single variable function.
f(x) = x² - 8y + 9
Now, differentiate the above function to find the critical points. f'(x) = 2x = 0 => x = 0
Putting this value of x in x² + y² = 9 to get the value of y.y² = 9 => y = ±3
Hence, the critical points are (0,3) and (0,-3). Now, let's find the value of f(x,y) at the critical points and the boundary of R to find the absolute maximum and minimum values of f(x,y).f(0,3) = 10f(0,-3) = 10
Now, let's find the value of f(x,y) on the boundary of R. f(x,y) = x² - 2y + 1At (x,y) = (±3,0)f(±3,0) = 10 f(x,y) has a critical point (0,3), which is the absolute maximum value in the set R={(x,y): x² + y²≤9}.
The absolute maximum value is (25/2). Therefore, the correct option is OA.
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the proportion of the variation in selling price explained by square footage, age, number of bedrooms, number of bathrooms, and number of garages is: a. 0.8161 b. 277.8 c. 0.0012 d. 0.9034
The answer is (a) 0.8161.
In statistical analysis, the proportion of the variation in the response variable (selling price) explained by the predictor variables (square footage, age, number of bedrooms, number of bathrooms, and number of garages) is known as the coefficient of determination or R-squared value. The R-squared value ranges from 0 to 1, where a value closer to 1 indicates that the predictor variables explain a higher proportion of the variation in the response variable. In this case, an R-squared value of 0.8161 suggests that the predictor variables (square footage, age, number of bedrooms, number of bathrooms, and number of garages) explain about 81.61% of the variation in the selling price.
The R-squared value is an important statistic in regression analysis, as it indicates the goodness of fit of the regression model. A high R-squared value suggests that the model fits the data well and can be used to make accurate predictions. However, a high R-squared value does not necessarily mean that the regression model is the best model for the data. It is important to also consider other factors such as model complexity and statistical significance of the predictor variables.
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Graph y= –3x+4.
i need a pic
5o points and brain thing
Refer to the attachment
What is the measure of the missing angle in the triangle below?
The measure of the missing angle in the triangle is ______ degrees.
Answer:
41 degrees
Step-by-step explanation:
The interior angles rule states that all interior angles must add up to 180, so 180-87-52=41 degrees.
Hope this helps.
Young Professional magazine was developed for a target audience of recent college graduates who are in their first 10 years in a business/professional career. In its two years of publication, the magazine has been fairly successful. Now the publisher is interested in expanding the magazine’s advertising base. Potential advertisers continually ask about the demographics and interests of subscribers to Young Professional. To collect this information, the magazine commissioned a survey to develop a profile of its subscribers. The survey results will be used to help the magazine choose articles of interest and provide advertisers with a profile of subscribers. As a new employee of the magazine, you have been asked to help analyze the survey results.what do young professional be a good advertising outlet for online brokers justify your conclusion with statistical data?
The majority of Young professional subscribers are interested in personal finance and investment opportunities.
Young Professional magazine would be a good advertising outlet for online brokers because its target audience consists of recent college graduates who are in their first 10 years in a business/professional career. This demographic is likely to have a high level of education, which means they are more likely to understand and be interested in investment opportunities. Additionally, as young professionals, they are likely to have a higher disposable income and a desire to invest and grow their wealth.
According to the survey results, the majority of Young Professional subscribers are interested in personal finance and investment opportunities. This makes the magazine an ideal outlet for online brokers to advertise their services and reach potential customers. The survey also revealed that the majority of subscribers are tech-savvy and comfortable with online transactions, which makes them more likely to be interested in using online brokers for their investment needs.
Overall, the demographics and interests of Young Professional subscribers make it a good advertising outlet for online brokers. By advertising in the magazine, online brokers can reach a highly educated, tech-savvy, and financially motivated audience that is likely to be interested in their services.
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make a dot of the data 89,98,73,74,73,99,98,85,83,83,73,74,74,85,99,99a garden plot constrains 3 zinnias, 7 glodiolas, 16 marigolds, 20 hollyhocks, and 23 lilies
$400 is invested in an account earning 4.7% interest (APR), compounded daily. Write a function showing the value of the account after tt years, where the annual growth rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per year (APY), to the nearest hundredth of a percent.
The function that shows the value of the account after tt years is FV = 400 x (1.0001)^365tt.
What is the future value of the account?
The formula for calculating future value:
FV = P (1 + r) nm
FV = Future value P = Present value R = interest rate m = number of compoundingN = number of yearsFV = 400 x (1.0001)^365tt
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which pair of fractions is not equivalent fractions? 1/9,2/187/8,5/63/16, 9/486/15, 4/10
Answer:
7/8,5/6
Step-by-step explanation:
Two fractions are equivalent when their division is equal to one.
When we are dividing fractions, we multiply the numerator by the inverse of the denominator.
1/9,2/18
\(\frac{\frac{1}{9}}{\frac{2}{18}}=\frac{1}{9}\ast\frac{18}{2}=\frac{1\ast18}{9\ast2}=\frac{18}{18}=1\)7/8,5/6
\(\frac{\frac{7}{8}}{\frac{5}{6}}=\frac{7}{8}\ast\frac{6}{5}=\frac{7\ast6}{8\ast5}=\frac{42}{40}\)The division is not 1, so this par of fractions is not equivalent.
3/16, 9/48
\(\frac{\frac{3}{16}}{\frac{9}{48}}=\frac{3}{16}\ast\frac{48}{9}=\frac{3\ast48}{16\ast9}=\frac{144}{144}=1\)6/15, 4/10
\(\frac{\frac{6}{15}}{\frac{4}{10}}=\frac{6}{15}\ast\frac{10}{4}=\frac{6\ast10}{15\ast4}=\frac{60}{60}=1\)A line has a slope of 4 and passes through point What is the equation of the line?
The equation of the line (y+10)=4(x−3) or y=4x−22
We can use the point-slope formula to find an equation for this line.
The point-slope formula states: \((y-y_{1} )=m(x-x_{1} )\)
Where m is the slope and \((x_{1}, y_{1} )\) is a point the line passes through.
Substituting the values from the problem gives:
(y − −10) = 4(x − 3)
(y + 10) = 4(x − 3)
To transform this into the more familiar slope-intercept form we can solve for y:
y + 10 = (4 × x) − (4 × 3)
y + 10 = 4x − 12
y + 10 − 10 = 4x − 12 − 10
y + 0 = 4x − 22
y = 4x − 22
Hence the answer is the equation of the line is (y+10) = 4(x−3) or y = 4x−22
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What is the value of $k$ if $-\frac23(k-6) = \frac32(k+6)$?
Answer: 8
Step-by-step explanation: If we can define $ as k$, this would mean /frac32 would be K+($6). So, the answer is 8
if -(x-1)=5 find the value of -4x
if 9-6x=45 find the value of x-4
Answer:
value of -4x=16.
value of -4x=10.
For which equations is 8 a solution? Select the four correct answers. x + 6 = 2 x + 2 = 10 x minus 4 = 4 x minus 2 = 10 2 x = 4 3 x = 24 StartFraction x Over 2 EndFraction = 16 StartFraction x Over 8 EndFraction = 1
Answer:
8 is a solution for the following equations:
x + 6 = 2 (subtracting 6 from both sides gives x = -4)
x - 4 = 4 (adding 4 to both sides gives x = 8)
3x = 24 (dividing both sides by 3 gives x = 8)
StartFraction x Over 8 EndFraction = 1 (multiplying both sides by 8 gives x = 8)
Note that for x+2=10 and x-2=10 and 2x = 4, 8 is not a solution.
Which of the following ordered pairs satisfies the equation
3x-2y=5?
Given 1 || m , find the value of %.
(7x - 1)
125"
m
Find x
We know that 7x - 1 must equal 125 because of Alternate interior angles. Now, let's solve for x.
Step-by step solution:=> 7x - 1 = 125=> 7x = 126=> x = 126 ÷ 7=> x = 18Conclusion:Therefore, we can conclude that x = 18.
Hoped this helped.
\(BrainiacUser1357\)
\(\\ \tt\Rrightarrow 7x-1=125\)
\(\\ \tt\Rrightarrow 7x=125+1\)
\(\\ \tt\Rrightarrow 7x=126\)
\(\\ \tt\Rrightarrow x=126/7\)
\(\\ \tt\Rrightarrow x=18\)
How do you do 4/5 as a fraction to the 3 power.
The value of 4/5 as a fraction to the 3 power is 64 / 125.
How to calculate the exponent?An exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.
In this case, 4/5 as a fraction to the 3 power will be:
(4/5)³
= 4/5 × 4/5 × 4/5
= 64 / 125
The value is 64/125.
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I will rate you a brainlest☆
Answer:
A 0.6 0.9 1.2 1.5 1.8
B 3/8 5/8 7/8 9/8 11/8
C -7 -5 -3 -2 -1
D 1, 1 1/3, 1 2/3, 2, 2 1/3
E 0.61 0.72 0.83 0.94 1.05
Step-by-step explanation:
Answer:
A. x x 1.2 1.5 1.8
B. 3/8 x x x 1 2/8
C. x x -3 -2 -1
D. 0 x x x 5 1/3
E. x x 0.83 0.94 1.05
Step-by-step explanation:
hope it helped
The estimated velocity v (in miles per hour) of a car at the end of a drag race is v=234\sqrt[3]{p/w} , where p is the horsepower of the car and w is the weight (in pounds) of the car. A car has a horsepower of 1311 and weighs 2744 pounds. Find the velocity of the car at the end of a drag race. Round your answer to the nearest whole number
Answer:
299 miles per hour
Step-by-step explanation:
\(v=\frac{234}{\sqrt[3]{\frac{p}{w}}}\)
\(v=\frac{234}{\sqrt[3]{\frac{1311}{2744}}}\)
\(v\approx299\)
Therefore, the velocity of the car at the end of a drag race is 299 miles per hour
PLS HELP ASSAP ITS TIIIIMED
You can buy 56 diapers at Babies-R-Us for $28, and you can buy 112 diapers online for $52. Which is the better deal, and how much will you save per diaper?
Responses
A Online by $0.04Online by $0.04
B Babies R Us by 0.15
C Babies R Us by $0.04 Babies R Us by $0.04
D Online by $0.15
The correct option is a) online by $0.04.
The better deal is online by $0.04 will save per diaper.
How do I solve for x in a equation?
Apply arithmetic operations to both sides of the equation to bring the variable to one side and all other values to the other side in order to find the value of x. To determine the outcome, simplify the values.
Cost of 56 diapers at Babies-R-Us = $28
Cost of 1 diaper at Babies-R-Us = \(\frac{28}{56}\)
= 0.5
Cost of 112 diapers online = $52
Cost of 1 diaper online = \(\frac{52}{112}\)
= 0.46
So, the cost of diapers online is cheaper than that at Babies-R-Us.
Difference between 1 diaper in both case = $0.5- $0.46= $0.04
Online deal is better than and you will save by $0.04 per diaper.
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A confectionery company mixes three types of toffees to form one kilogram " toffee packs. the pack is sold at rs. 17. the three types of toffees cost rs.20, rs. 10, rs. 5 per kg. resp. the mixture must contain atleast 300 gms of first type. also weight of first two types must be at least be equal to weight of third type. find the optimal mix for maximum profit.answer
The maximum profit is 6 and it is obtained when we mix 0.6 kg of type A, 0 kg of type B, and 0.4 kg of type C.
The optimal mix for the maximum profit can be found as follows:
The company mixes three types of toffees, A, B, and C. Let the weights of type A, B, and C be a, b, and c kg, respectively. Let us assume that we are making 1kg of toffee pack. Therefore, the weight of type C should be 1 - (a + b) kg. Also, the mixture must contain at least 300 gms of type A i.e a >= 0.3 kg
Also, the weight of the first two types (A and B) must be at least equal to the weight of type C, i.e a + b >= c. This condition can also be written as a + b - c >= 0
Let us now calculate the total cost of making 1kg of toffee pack.
Cost = 20a + 10b + 5c
If the pack is sold at Rs. 17, then the profit per 1kg of toffee pack is by
Profit = Selling Price - Cost = 17 - (20a + 10b + 5c)
Now we have the following linear programming problem:
Maximize P = 17 - (20a + 10b + 5c)
Subject to constraints: a + b + c = 1 (since we are making 1kg of toffee pack)
a >= 0.3a + b - c >= 0a, b, c >= 0
We can use the simplex method to solve this linear programming problem. However, to save time, we can solve it graphically. The feasible region is as follows:
We can see that the corner points of the feasible region are: (0.3, 0, 0.7), (0.6, 0, 0.4), (0, 0.5, 0.5), and (0, 1, 0).
Let us calculate the profit at each of these corner points. For example, at the point (0.3, 0, 0.7), we have a = 0.3, b = 0, and c = 0.7. Therefore, the profit is
P = 17 - (20(0.3) + 10(0) + 5(0.7)) = 3.5
Similarly, we can calculate the profit at the other corner points as well. The corner point (0.3, 0, 0.7) gives a profit of 3.5
Corner point (0.6, 0, 0.4) result in a profit of 6
Corner point (0, 0.5, 0.5) results in a profit of 5
Corner point (0, 1, 0) gives a profit of 3
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