Answer:
Perimeter = 54
Step-by-step explanation:
Since AC = RP, then the following also applies:
AB = RB
CB = PB
So, in order to determine this, you first need to find a common ratio in order to find the missing side of PB which you need for the perimeter.
To determine the ratio you do the following:
AB = 21 (14 + 7)
RB = 7
21: 7 = 3: 1
This means in finding a smaller side you can divide by the value 3 to find it.
It also means that side CP is 2/3 of the value of CB which means that we need 1/3 of the value left in order to determine PB:
CP = 10 = 2/3, which means 1/3 is 5, so
PB = 5
Therefore: CB = 15
Perimeter = CB + AC + AB
15 + 21 + 18 = 54
ms tunnicliffe is making jam for the county fair blackberries cost 5.50 per kg sugar cost 65c per kg 15 glass jars cost 5.85 she uses 16kg of blackberries and 10kg of sugar to make 15 jars of jam calculate the total cost to make the 15 jars
Therefore , the solution of the given problem of unitary method comes out to be total cost for to make 15 jars is 12,386.25 euroes.
What exactly is a unitary method?After calculating the size of a small slice, multiply the quantity by two to complete a task using the unitary technique. Simply expression, the unit variable technique works to separate a coded item from a certain group or collection of groups. For instance, 40 pens would cost Rs. 400 (or 400 pounds, $1.01). It's possible that one country will have total control over the method employed to do this. Almost every living creature has a distinctive quality.
Here,
Given :
cost of blackberry = 88 euroes
cost of sugar = 650 euroes
Jam bottles costs =87.75
total cost for to make 15 jars is
=> 15 * (87.75+650+88)
=> 15 * 825.75
=> 12,386.25 euroes
Therefore , the solution of the given problem of unitary method comes out to be total cost for to make 15 jars is 12,386.25 euroes.
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Ms.Cornick bought 6 new pens for $5.70. How much would it cost her to buy 11 pens at the same rate?
Answer:
about 11.50
Step-by-step explanation:
6 / 5.70 = 1.05
1.05 x 11
hope this helps
Apex Grocery wants to build a warehouse that is equidistant from its three stores, L, M, and N. Which construction correctly finds the best location of the warehouse? Construction X is triangle LMN with an inscribed circle. Point A is on segment LM, point D is on segment MN, and point B is on segment LN, segment AN bisects angle N, segment MN bisects angle M, the angle formed by MDL is a right angle, and point C is the intersection of segments MB, LD, and AN. Construction X Construction Y is triangle LMN within a circumscribed circle. Point A is on segment LM, point B is on segment MN, point D is on segment MB, point C is on segment LN, angle MAB is a right angle, angle NCD is a right angle, and point E is the intersection of segments AB and EC. Construction Y Construction Y, because point E is the incenter of ΔLMN Construction X, because point C is the incenter of ΔLMN Construction Y, because point E is the circumcenter of ΔLMN Construction X, because point C is the circumcenter of the ΔLMN
The construction correctly finds the best location of the warehouse is shown in option C (Construction Y because point E is the circumcentre of triangle LMN and due to its exact equidistant location from the three stores at L, M, and N, Point E is the ideal location for the warehouse.)
What is circumcentre?The location that is equally spaced from the three vertices and where the perpendicular bisectors of a triangle's sides intersect.
Calculation for distance of the three stores from warehouse:
Precisely one circle crosses through all three, which are all on the same line. Finding the centre of the circle that goes through all three of the points is equivalent to finding the point that is equally distant from each of the three points (since all points on a circle are equidistant from the centre).
L, M, and N are our points. To create the triangle, draw the lines LM, LN, and MN. The junction of any two of the lines' perpendicular bisectors, point E, will serve as the circle's centre.
Due to the fact that E is the triangle's LMN's circumcenter, as demonstrated in Construction Y.
Therefore, given that it is precisely equidistant between the three stores at L, M, and N, this is the optimal location for the warehouse.
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What is the volume, in cubic ft, of a rectangular prism with a height of 9ft, a width of 13ft, and a length of 4ft?
Answer: 4x13x9= 468 ft.
Step-by-step explanation: To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units. The formula for the volume of a prism is V=Bh , where B is the base area and h is the height.
What is the forecast for May using a five-month moving average?(Round answer to the nearest whole number.) Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47
A. 43 B. 47 C. 52 D. 38 E. 39
The forecast for May using a five-month moving average is 39 (Option E).
Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.
According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47
We have to add the sales of these five months, which gives:
27 + 40 + 42 + 41 + 47 = 197
To find the moving average for May, we divide this sum by 5:
197 / 5 = 39.4
Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.
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WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!
In the following graph, ∆ABC is congruent to ∆A’B’C’. A teacher asks Janine to state the translation rule for this transformation. She focuses on point C’ and states that “the translation rule is
(x,y)→(x-2, y-6).
In other words, to shift from the blue to the red triangle, you must shift each point two units to the left and six units down. Janine made an error.
Explain how to correct her rule by either using transformation notation showing each step or explain using 2-3 sentences.
Answer:
She moved 3 to the left and 5 down.
She could have calculated each point seperately.
A(1,-1) then subtract 2 and subtract 6 from the x and then the y-coordanate, which gets you to A'(-1,-7). Then, do this with every other coordanate and you will get your answer. Hope this helped!
solve for x,
x^2 -10x + 25 = 35
Answer:
x = 2
Step-by-step explanation:
PLEASE HELP ME IM BEING TIMED
The domain of the function is defined as 0 ≤ x ≤ 4.
option A is the correct answer.
What is the domain of a function?A domain of a function refers to "all the values" that can go into a function without resulting in undefined values.
So the domain of a function is the set of x values, while the range of a function is the set of y values.
From the given statement, the range of the function is defined as;
y = vt
where;
v is the speedt is the time of motiony = 60 mph x 4 hr
y = 240 miles
From the given statement, the domain of the function is defined as;
0 ≤ x ≤ 4
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When solving the equation -3a^2=7a-3 using the quadratic formula, what values should be used for a, b, c
1. a=3, b=7, and c=3
2. a= -3, b=7, and c =-3
3. 3, b=-7, and c=-3
4. a= -3, b= -7, and c=3
How many nets are there for a triangular pyramid?
The net of a triangular pyramid consist of a total of 4 triangles. it has 4 faces with the base being one of them which is also in the shape of a triangle.
A net of the triangular pyramid is the pattern formed when the surface of it is laid out flat showing each triangular face of the figure, therefore we know that the net of a triangular pyramid consist of a total of 4 triangles.
Triangular pyramid is a pyramid which has a triangular base. In geometry, vertices are essentially corners. All triangular-based pyramids, either regular or irregular, have four vertices.
It has 6 edges, 4 faces, 4 vertices.
A regular triangular pyramid has equilateral triangles all four faces
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You measure the lifetime of a random sample of 25 rats that are exposed to 10Sv of radiation (the equivalent of 1000 REM) for with the LD100 is 14 days. The sample mean is x=13.8 days. Suppose that the lifetimes for this level of exposure follow a normal distribution with unknown mean and standard deviation 0.75. you read a report that says "on the basis of random sample of 25 rats, a confidence interval for the true mean survival time extends from 13.45 to 14.15 days." The confidence level for this interval is?
The confidence level for the given interval of 13.45 to 14.15 days is 95%, which means that we can be 95% confident that the true mean survival time falls within this range.
Based on the given information, we know that a random sample of 25 rats exposed to 10Sv of radiation has a mean lifetime of x=13.8 days. We also know that the LD100 is 14 days, and that the lifetimes for this level of exposure follow a normal distribution with unknown mean and standard deviation 0.75.
The report states that a confidence interval for the true mean survival time extends from 13.45 to 14.15 days, which means that we can be 95% confident that the true mean survival time falls within this range. This is because the confidence level for this interval is 95%.
To calculate this, we can use the formula:
Confidence level = 1 - alpha
where alpha is the significance level, which is typically set to 0.05 for a 95% confidence level. This means that there is a 5% chance that the true mean survival time is outside the given interval.
In conclusion, the confidence level for the given interval of 13.45 to 14.15 days is 95%, which means that we can be 95% confident that the true mean survival time falls within this range.
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Solve 6 11/12 - ( 2 4/16 + 3 2/3 ) start by doing the operation inside the parentheses first
Answer:
1
Step-by-step explanation:
Convert all to an improper fraction.
\(\frac{83}{12} -(\frac{36}{16} +\frac{11}{3})\)
\(\frac{83}{12}-\frac{71}{12}=\frac{12}{12} =1\)
good luck, i hope this helps :)
To solve the expression \(6\frac{11}{12}-(2\frac{4}{16} + 3\frac{2}{3})\) , we need to first simplify the mixed fractions inside the parentheses.
Let's start by converting the mixed fractions into improper fractions:
6 11/12 can be written as (6 * 12 + 11) / 12 = 83/12
2 4/16 can be written as (2 * 16 + 4) / 16 = 36/16
3 2/3 can be written as (3 * 3 + 2) / 3 = 11/3
Now we can substitute these values back into the expression:
\(6\frac{11}{12}-(2\frac{4}{16} + 3\frac{2}{3})\) = 83/12 - (36/16 + 11/3)
Next, let's find a common denominator for the fractions within the parentheses, which is 48:
83/12 - (36/16 + 11/3) = 83/12 - (36/16 * 3/3 + 11/3 * 16/16)
= 83/12 - (108/48 + 176/48)
= 83/12 - 284/48
To subtract these fractions, we need to have the same denominator:
83/12 - 284/48 = (83 * 4) / (12 * 4) - 284/48
= 332/48 - 284/48
= (332 - 284) / 48
= 48/48
= 1
Therefore, the solution to the expression 6 11/12 - (2 4/16 + 3 2/3) is 1.
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Can someone help me please
Answer:
b
Step-by-step explanation:
As x → + ∞ , y → + ∞ , as x → - ∞, y → - ∞
This means as x increases to the right, y increases up and as x increases to the left, y is increasing downwards
Simplify the following radical expression by rationalizing the denominator. (-6)/(\sqrt(5y))
The simplified radical expression by rationalizing the denominator is, \(\frac{-6}{\sqrt{5y}}\times\frac{\sqrt{5y}}{\sqrt{5y}}\) = \(\frac{-6\sqrt{5y}}{5y}$$\) = $\frac{-6\sqrt{5y}}{5y}$.
To simplify the radical expression by rationalizing the denominator, multiply both numerator and denominator by the conjugate of the denominator.
The given radical expression is \($\frac{-6}{\sqrt{5y}}$\).
Rationalizing the denominator
To rationalize the denominator, we multiply both the numerator and denominator by the conjugate of the denominator, \($\sqrt{5y}$\)
Note that multiplying the conjugate of the denominator is like squaring a binomial:
This simplifies to:
(-6√(5y))/(√(5y) * √(5y))
The denominator simplifies to:
√(5y) * √(5y) = √(5y)^2 = 5y
So, the expression becomes:
(-6√(5y))/(5y)
Therefore, the simplified expression, after rationalizing the denominator, is (-6√(5y))/(5y).
\($(a-b)(a+b)=a^2-b^2$\)
This is what we will do to rationalize the denominator in this problem.
We will multiply the numerator and denominator by the conjugate of the denominator, which is \($\sqrt{5y}$\).
Multiplying both the numerator and denominator by \($\sqrt{5y}$\), we get \(\frac{-6}{\sqrt{5y}}\times\frac{\sqrt{5y}}{\sqrt{5y}}\) = \(\frac{-6\sqrt{5y}}{5y}$$\)
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A seafood restaurant daims an increase of $2,450 over its average profit during a weer where it introduced a special of baked class.
Answer:
Step-by-step explanation:
COPY PASTE I WROTE THE ANSWER ON THERE!!! :)))
please help will mark Brainliest
Answer:
9 - 4x = 9
Step-by-step explanation:
Hope it Helps
(a) Using a trig identity, write x(t)=−(cos(5t))+2sin(5t)using only one cosine function.
x(t)= (b) Using a trig identity, write x(t)=cos(5t)+2sin(5t) using only one cosine function.
x(t)=
x(t) = sin(5t) is an equivalent expression using only one cosine function.
x(t) = cos(5t - 90°) is an equivalent expression using only one cosine function.
(a) To write x(t) = -(cos(5t)) + 2sin(5t) using only one cosine function, we can use the trigonometric identity:
sin(A + B) = sin(A)cos(B) + cos(A)sin(B)
Let's rewrite the given equation in terms of sin and cos:
x(t) = -(cos(5t)) + 2sin(5t)
x(t) = -cos(5t) + 2sin(5t)cos(0) + 0*sin(5t)
Now we can identify A = 5t and B = 0:
x(t) = sin(5t + 0)
x(t) = sin(5t)
(b) To write x(t) = cos(5t) + 2sin(5t) using only one cosine function, we can use the trigonometric identity:
cos(A - B) = cos(A)cos(B) + sin(A)sin(B)
Let's rewrite the given equation in terms of cos and sin:
x(t) = cos(5t) + 2sin(5t)
x(t) = cos(5t)cos(0) + 2sin(5t)sin(90°)
Now we can identify A = 5t and B = 90°:
x(t) = cos(5t - 90°)
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Go step by step to reduce the radical.
Answer:
\(\sqrt{16}\sqrt{11}\)
Step-by-step explanation:
\(\sqrt{176}\implies \sqrt{16\cdot 11}\implies \sqrt{4^2\cdot 11}\implies 4\sqrt{11}\)
The solution to an inequality is given in set-builder notation as {x l x > two-thirds}. What is another way to represent this solution set? (–∞ , two-thirds] (–∞ , two-thirds) (two-thirds, ∞) [two-thirds, ∞)
Answer:
correct choice is C ( ,∞).
Step-by-step explanation:
A set-builder notation is a mathematical notation for describing a set by enumerating its elements or stating the properties that its members must satisfy. In your case, the set builder notation {x l x > } means that the set consists of all elements that are greater than.
Consider number line. Plot the point as unfilled circle that goes after > sigh and shade the ray that goes from this point to the right. Then another way to represent this solution is
Answer:
c) (two-thirds, ∞)
Step-by-step explanation:
On a coordinate graph the following points of a rectangle are given. A(0,2) B (0,-2) C (3,-2) 4 Where do the coordinates of Dneed to be to form the rectangle? 0 (3,2) O (2, 3) 0 (1,3) 0 (3,1)
Answer:
(3, 2)
Step-by-step explanation:
Please mark me brainliest if this helped! :P
Which one of these scenarios illustrates an appreciation of the dollar against the euro?
A. Last week: 1 euro = 2.5 dollars. This week: 1 euro = 3 dollars
B, Last week: 1 dollar = 0.98 euros. This week: 1 dollar = 0.48 euros
C. Last week: 1 euro = 2.5 dollars. This week: 1 euro = 2 dollars
D. Last week: 1 dollar = 0.88 euros. This week: 1 dollar = 0.78 euros
The scenario that illustrates an appreciation of the dollar against the euro is option D. Last week, 1 dollar was equal to 0.88 euros, but this week, 1 dollar is equal to 0.78 euros.
In this scenario, the exchange rate between the dollar and the euro has decreased from 0.88 to 0.78 euros per dollar. This means that the value of the dollar has increased relative to the euro. With fewer euros required to purchase one dollar, it implies that the dollar has appreciated in value.
Appreciation of a currency indicates that it can buy more of another currency. In this case, the dollar can buy more euros, which demonstrates an appreciation of the dollar against the euro. This would be beneficial for individuals or entities holding dollars who want to exchange them for euros, as they can now obtain more euros for the same amount of dollars compared to the previous week.
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Graph the line with the equation y=5/4x-2
what is 2/5 close to?
Please help school is ending soon!Two days later, Kelly surveyed the same 13 classmates and found that none of them had been given math homework since she last surveyed them. By how much does the mean of Kelly’s second data set change in comparison with the mean of the data set in her original survey? Explain how to determine the change in the means without calculating the mean of either data set.
Since none of the 13 classmates had been given math homework between the original survey and Kelly's second survey, the sum of the values in the second data set is the same as the sum of the values in the original data set. Therefore, the change in the means can be determined without calculating the mean of either data set by considering the number of data points in each set.
Since both data sets have the same number of data points, the change in the means will be zero. This is because the mean is calculated by dividing the sum of the values by the number of data points, and since the sum of the values is the same in both data sets, the means will also be the same.
In other words, the change in the mean is calculated as follows:
Change in mean = Mean of second data set - Mean of first data set
Since none of the values in the second data set have changed, the mean of the second data set is the same as the mean of the first data set. Therefore, the change in the mean is:
Change in mean = Mean of second data set - Mean of first data set
= Mean of first data set - Mean of first data set
= 0
Thus, the change in the means between Kelly's original survey and her second survey is zero.
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an ice cream store stocks 30 different flavors and offers a rainbow banana-boat-split that contains 3 scoops of ice cream, each of a different flavor. on a banana boat, they put one scoop of ice cream on the left, one scoop in the middle and one scoop on the right of the banana-boat. how many different rainbow splits can the store advertise?
The total number of different rainbow splits an ice cream store can advertise as per the 30 different flavors equals 24,360.
Total number of different flavors present in the ice cream store is equal to 30
Number of different scoop of ice cream used to make rainbow banana-boat-split is equal to 3
Total number of different rainbow splits ice cream store can advertise
= ³⁰P₃
= ( 30! ) / ( 30 - 3 )!
= 30 × 29 × 28 × 27! / 27!
= 30 × 29 × 28
= 24, 360
Therefore, the number of different rainbow splits can be advertised by ice cream store is equal to 24,360.
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What is an equation of the line through the origin and (-4, 9)
Iq scores are normally distributed with a mean of 100 and a standard deviation of 15.
out of a randomly selected 600 people from the population, how many of them
would have an iq higher than 78, to the nearest whole number?
To determine the number of people with an IQ higher than 78 out of a randomly selected sample of 600 from a population, we can use the properties of the normal distribution.
Given that IQ scores are normally distributed with a mean of 100 and a standard deviation of 15, we can calculate the z-score for an IQ of 78 and find the corresponding area under the normal curve.
The z-score can be calculated using the formula: z = (x - μ) / σ, where x is the IQ score, μ is the mean, and σ is the standard deviation. Substituting the values, we have: z = (78 - 100) / 15 = -1.47.
To find the area under the normal curve corresponding to a z-score of -1.47, we can use a standard normal distribution table or a calculator. The area represents the proportion of individuals with an IQ score higher than 78.
Using a standard normal distribution table or calculator, we find that the area to the left of a z-score of -1.47 is approximately 0.0708. Therefore, the proportion of individuals with an IQ higher than 78 is 1 - 0.0708 = 0.9292.
To determine the number of people out of the sample of 600 with an IQ higher than 78, we multiply the proportion by the sample size: 0.9292 * 600 = 557.52.
Rounding to the nearest whole number, approximately 558 people out of the randomly selected sample of 600 would have an IQ higher than 78.
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Please help....... thank you
Answer:
-1/4
Step-by-step explanation:
Hope this helped, Have a Great Day/Night!!
Solve. x/4 + ½ = 1/8
x = ____ (Simplify your answer.)
Answer:
\( \frac{x}{4} + \frac{1}{2} = \frac{1}{8} \)
\( \frac{x}{4} = - \frac{3}{8} \)
\(x = - \frac{3}{2} = - 1 \frac{1}{2} \)
The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.
Consider the equation, we have only one x term, so taking all the terms without x to the other side and terms with x on one side.
x/4 + 1/2 = 1/8
Take the 1/2 term on the other side,
x/4=1/8 - 1/2
Taking the LCM on the Right side,
x/4 = (1-4) / 8
x/4 = -3/8
Now, we have x/4 so what we can do is, shift the 4 to the other side too, we get,
x = ( -3/8) * 4
x = -3/2
The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.
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The sum of two numbers is 103. The smaller number is eleven less than the larger
number. What is the smaller number?
Answer:
The answer is 57 and 46
Step-by-step explanation: