\(\dfrac{\sqrt7}{3}+\dfrac{5}{2\sqrt7}=\dfrac{\sqrt7}{3}+\dfrac{5\sqrt7}{14}=\dfrac{14\sqrt7}{42}+\dfrac{15\sqrt7}{42}=\dfrac{29\sqrt7}{42}\)
I'm very confused. I have the left half (120) but I'm confused on how to get the right side.
6 is added to the
product of 7 and a number.
The equation model of the given statement in question is 6 + 7× x.
What are equation models and arithmetic?The model of equation is defined as the model of the given situation in the form of an equation using constants and variables.
In math, it deals with numbers of operations given according to the statements. The four major arithmetic operators are, addition, subtraction, multiplication, and division.
Given that;
6 is added to product of a number and 7
Now,
Let, the number multiplied by 7 be x,
=7*x
6 is added to the product;
= 6 + 7 × x
Therefore, the equation of model will be given as 6 + 7 × x;
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What is 5m-3n+6m+4n simplified
Answer: 11m+n
Step-by-step explanation: combine like terms
*HELP I WILL MARK BRAINLIST*
The volume of plaster Darla needs for the miniature stairs is 418³.
What is the volume?The volume is the space occupied by a three-dimensional object.
Volume is the product of the multiplication of length, width, and height.
We first calculate the total volume for this situation, assuming that the stairs have not cut portions.
Secondly, calculate the volume of the cut portions and subtract the result from the total volume to get the volume of the stairs, which represents the quantity of plaster required by Darla.
Length of the miniature stairs = 12 cm
Width of the miniature stairs = 11 cm
Height of the miniature stairs = 4 cm
The volume of the stairs with the cut portion = 528 cm³ (12 x 11 x 4)
The length of the cut portion of the stairs = 12 cm
The width of the cut portion of the stairs = 11 cm
The height of the cut portion of the stairs = 2 cm (4 - 2)
The volume of the cut portion of the stairs = 110 cm³ (11 x 5 x 2)
The volume of the stairs without the cut portion = 418 cm³ (528 - 120)
The total volume of plaster can also be computed separately as the volume of the larger object plus the volume of the smaller object.
418 cm³= (7 cm x 4 cm x 11 cm) + (5 cm x 2 cm x 11 cm)
= (308 cm³ + 110 cm³)
Thus, the quantity (volume) of plaster Darla needs is 418 cm³.
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What is the equation of the line perpendicular to y= 1/2x + 3 passing through the point (-3,4)?
How do I solve this equation and find the vertex, axis of symmetry, y intercept and the domain and range?
Answer & Step by Step :
The vertex is (2, -11)
The axis of symmetry is x=2
The y-intercept is (0, 1)
The Domain and Range are in the picture
stuff that WILL HELP YOU STUDYING AND CHECKING YOUR WORK (I PROMISE)
I used these to find your answer quickly^^^
Be sure to actually know the material because I promis you, you WILL see these again on countless amounts of tests
- search m-a-t-h-w-a-y
- search: d-e-s-m-o-s
(brainly won't let me type them out by don't add these '-' when searching them up)
f(x)=2x-3 for f(x)=9
Answer:
15Step-by-step explanation:
f(x)=2x-3, for f(x)=9
2(9)-3
18-3=
15In the past, the output of a process had a mean of 2.050 and a standard deviation of 0.020 liters. If a current sample of output had these values {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}, would that indicate that the process is still "in order" (as opposed to being "out of order")? What if the sample was {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}?
For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}, the process is still "in order," while for the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}, the process might be "out of order."
To determine whether the process is still "in order" or "out of order," we can compare the current sample of output to the known mean and standard deviation of the process.
For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}:
Calculate the sample mean by summing up all the values in the sample and dividing by the number of values (n = 10):
Sample mean = (2.038 + 2.054 + 2.053 + 2.055 + 2.059 + 2.059 + 2.009 + 2.042 + 2.053 + 2.047) / 10 = 2.048.
Compare the sample mean to the known process mean (2.050):
The sample mean (2.048) is very close to the process mean (2.050), indicating that the process is still "in order."
Calculate the sample standard deviation using the formula:
Sample standard deviation = sqrt(sum((x - mean)^2) / (n - 1))
Using the formula with the sample values, we find the sample standard deviation to be approximately 0.019 liters.
Compare the sample standard deviation to the known process standard deviation (0.020):
The sample standard deviation (0.019) is very close to the process standard deviation (0.020), further supporting that the process is still "in order."
For the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}:
Calculate the sample mean:
Sample mean = (2.022 + 1.997 + 2.044 + 2.044 + 2.032 + 2.045 + 2.045 + 2.047 + 2.030 + 2.044) / 10 ≈ 2.034
Compare the sample mean to the process mean (2.050):
The sample mean (2.034) is noticeably different from the process mean (2.050), indicating that the process might be "out of order."
Calculate the sample standard deviation:
The sample standard deviation is approximately 0.019 liters.
Compare the sample standard deviation to the process standard deviation (0.020):
The sample standard deviation (0.019) is similar to the process standard deviation (0.020), suggesting that the process is still "in order" in terms of variation.
In summary, for the first sample, the process is still "in order" as both the sample mean and sample standard deviation are close to the known process values.
However, for the second sample, the difference in the sample mean suggests that the process might be "out of order," even though the sample standard deviation remains within an acceptable range.
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Adrian bought a car worth $12000 on 36 easy installments of $375. Answer the following questions. (1) How much total amount did Adrian pay in 36 months? Answer: Total payment A = $ (2) Identify the letters used in the simple interest formula I = Prt. I= $ P= $ and t years. (3) Find the rate of interest in percentage. Answer: r %. ASK YOUR TEACHER
3) since we don't have the information about the interest paid (I), we cannot determine the rate of interest at this time.
(1) To find the total amount Adrian paid in 36 months, we can multiply the monthly installment by the number of installments:
Total payment A = Monthly installment * Number of installments
= $375 * 36
= $13,500
Therefore, Adrian paid a total of $13,500 over the course of 36 months.
(2) In the simple interest formula I = Prt, the letters used represent the following variables:
I: Interest (the amount of interest paid)
P: Principal (the initial amount, or in this case, the car worth)
r: Rate of interest (expressed as a decimal)
t: Time (in years)
(3) To find the rate of interest in percentage, we need more information. The simple interest formula can be rearranged to solve for the rate of interest:
r = (I / Pt) * 100
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One of the following set is not compact: +1 O {x; xº is an integer less than 100} O [0,3] n {3n+1, n e N}. [{ neN O [1,300w O [1, 3] n {nti, ne N}. O [0, 3) {}, n + N. +, . n
The set [0,3] ∩ {3n+1; n ∈ N} is not compact.
The set [0,3] ∩ {3n+1; n ∈ N} refers to the intersection of the interval [0,3] and the set of numbers of the form 3n+1, where n is a natural number. To determine if this set is compact, we need to check if it is closed and bounded.
The set is bounded because all the numbers in the set are between 0 and 3, inclusive. However, it is not closed because it does not contain its limit points. Let's consider the sequence (1, 4/3, 7/3, 10/3, ...), which consists of the numbers generated by the expression 3n+1. As n approaches infinity, the sequence converges to 4, which is outside the set [0,3]. Therefore, 4 is a limit point of the set, but it is not included in the set itself.
Since the set is not closed, it is not compact. Compactness requires a set to be both closed and bounded. In this case, although the set is bounded, it fails to meet the criterion of being closed because it does not contain its limit points.
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Please help me i need this
fast
Answer:
just restart your device
What is the degree of
the polynomial
below?
3- 14x4 – 2x8 + 20x +
4x2
Suggest regular languages L1 and L2 over {0,1} such that 1. L1⊈L2, 2. L2L1, and 3. (L1∪L2)∗=L1∗∪L2∗ (b) Prove or disprove whether condition 3 above holds for any regular languages, L1 and L2.
a). We have proved all the given conditions.
b). It is true that condition 3 holds for all regular languages L1 and L2.
(a) Regular languages L1 and L2 can be suggested as follows:
Let \(L_1={0^{(n+1)} | n\geq 0}\)
and
\(L_2={1^{(n+1)} | n\geq 0}\)
We have to prove three conditions:1. L1 ⊈ L2:
The given languages L1 and L2 both are regular but L1 does not contain any string that starts with 1.
Therefore, L1 and L2 are distinct.2. L2 L1:
The given languages L1 and L2 both are regular but L2 does not contain any string that starts with 0.
Therefore, L2 and L1 are distinct.3. (L1 ∪ L2)* = L1* ∪ L2*:
For proving this condition, we need to prove two things:
First, we need to prove that (L1 ∪ L2)* ⊆ L1* ∪ L2*.
It is clear that every string in L1* or L2* belongs to (L1 ∪ L2)*.
Thus, we have L1* ⊆ (L1 ∪ L2)* and L2* ⊆ (L1 ∪ L2)*.
Therefore, L1* ∪ L2* ⊆ (L1 ∪ L2)*.
Second, we need to prove that L1* ∪ L2* ⊆ (L1 ∪ L2)*.
Every string that belongs to L1* or L2* also belongs to (L1 ∪ L2)*.
Thus, we have L1* ∪ L2* ⊆ (L1 ∪ L2)*.
Therefore, (L1 ∪ L2)* = L1* ∪ L2*.
Therefore, we have proved all the given conditions.
(b)It is true that condition 3 holds for all regular languages L1 and L2.
This can be proved by using the fact that the union of regular languages is also a regular language and the Kleene star of a regular language is also a regular language.
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Last month, Brooklyn worked 255 hours for $750 per hour at her job at the store. How much did she earn the last month
Answer:
191,250
Step-by-step explanation:
Y=750(255)
The amount of motor oil used during the month by the local stock car racing team is g(t) hundred gallons, where t is the number of months past March of a given year.
(a) Write a sentence of interpretation for
g(4) = 13.10.
The answer is "The local inventory car racing team used 1310 gallons of engine oil in July".
The function consists of 3: input, output, as well as the relationship between the two.The interpretation of a mathematical formalism is to derive important data from a line chart or given symbolic image.Therefore, the amount of oil that the regional sports car racing team is using during the month is G(t), which is 100 gallons, wherein T is the number of months that very last March.Given:
\(\to \bold{g(4) = 13.10}\)
If \(\bold{g(4)=13.10}\) means that \(\bold{1310 }\) gallons of motor oil was used by the local stock car racing squad in July.So, the final answer is "The local inventory car racing team used 1310 gallons of engine oil in July".Learn more:
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Please help :)
Carly worked for 5 1/4 hours and earned $46.20 How much would she earn if she worked for 6 3/4 hours? Enter your answer in the box
Answer:
Hi. The answer is $59.40
Step-by-step explanation:
Divide $46.20 into the hours she works, so 46.20/5.25 = 8.80
She earns $8.80 per hour. Multiply this by 6 3/4 hours...8.80x6.75 = $59.40
Answer:
$59.40
Step-by-step explanation:
(b) Factorise fully 9b-3b squared
Answer:
Step-by-step explanation:
b(9-3)
please help quick I will give brainliest :(
Answer:
r=4 d=8 a = 16π c = 8π
d=6 r=3 a=9π c=6π
a=36π r=6 d=12 c=12π
c=18π r=9 d=18 a=81π
Step-by-step explanation:
hope this helps (:
Which nodes would be visited when searching for 800? write nodes in order visited, as: 5, 10, 15
By applying the binary search tree (BST) property, the nodes which would be visited when searching for 800 are 300, 900, 750.
What is a binary search?Binary search can be defined as an efficient algorithm that is designed and developed for searching an element (information) from a sorted list of data, especially by using the run-time complexity of Ο(log n)
Note: n is the total number of elements.
What is a binary search tree?A binary search tree (BST) can be defined as a type of binary tree which has the ordering property that all the left subtree keys of a node are the node's key, and every keys of the right subtree are the node's key.
By applying the binary search tree (BST) property, we can infer and reasonably conclude that the nodes which would be visited when searching for 800 are 300, 900, 750.
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Given the table below, write a linear equation that defines the
dependent variable, t, in terms of the independent variable, s.
S
0
4
8
12
t
14
9
4
-1
Answer:
the answer is 9
Step-by-step explanation:
I just did the test
X^2 -5x-6 can anyone help?
Answer:
(x - 6) (x + 1)
x = 6 and x = - 1
Step-by-step explanation:
x^2 - 5x - 6
-6 +1 = -5 and (-6)*(1) = -6
(x - 6) (x + 1)
x -6 = 0
x = 6 and x + 1 = 0
x = -1
Melissa just finished a new book about a time-traveling magician. She read the same amount every day and completed the book in just 10 days! The book had 85 pages.
How many pages did Melissa read each day?
Write your answer as a proper fraction or mixed number.
Answer:
8 1/2
Step-by-step explanation:
She read 8 1/2 pages each day because if you divide 85 by 10 you will get 8 1/2.
complete the congruent statement
ABC is congruent to DCB
asap please help Will give BRAINLIEST
Answer:
12 my g
Step-by-step explanation:
what is the product of (-a+3)(a+4)?
\((-a+3)(a+4)=-a^2-a+12\).
Hope this helps.
Answer:
-a²-a+12
Step-by-step explanation:
-a²+3a-4a+12
-a²-a+12
Include steps please and thank you.
Answer:
U=32m
Step-by-step explanation:
Big triangle
Little triangle
Compare lengths & find scale factor (s.f)
We've got base lengths, that's what we will use to find the scale factor.
27.3 ÷ 15.6 = 1.75 s.f
We're going from big triangle, to small; so, divided by 1.75s.f to find length of u
56 ÷ 1.75 = 32
U= 32m
Hope this helps!
Write the decimal expansion for 5/6.
Answer:
≈ 0.8333333333333
Step-by-step explanation:
Since anything divided by 6 is a repeating decimal, we know it will go on forever.
Answer:
0.8333333333333
Step-by-step explanation:
:)
Mrs. Pascal has a candy jar that contains 5 Jolly Ranchers and 13 jawbreakers. Solve each of the following problems and explain your thinking.
1) Suppose that you have a new candy jar with the same ratio of Jolly Ranchers to jawbreakers that Mrs. Pascal had but it contains 100 Jolly Ranchers. How many jawbreakers would you have?
Answer:
260 jawbreakers
Step-by-step explanation:
The ratio is 5:13 so if the value of Jolly ranchers increased 20x then the number of jawbreakers would also increase by 20x. There are 260 jawbreakers.
Look at the given triangles.
triangles
The blue triangle is a right triangle. The vertical leg is labeled with the expression 4 x plus 2. The horizontal leg is labeled with the expression 5 x minus 4. The hypotenuse is labeled with the expression 7 x plus 7.
The red triangle is a right triangle. The vertical leg is labeled with the expression x plus 3. The horizontal leg is labeled with the expression x plus 7. The hypotenuse is labeled with the expression 2 x minus 5.
a. Write an expression in simplest form for the perimeter of each triangle.
b. Write another expression in simplest form that shows the difference between the perimeter of the larger triangle and the perimeter of the smaller triangle.
c. Find the perimeter for each triangle when x = 3
Answer:
Step-by-step explanation:
Blue triangle
a = 4x + 2
b = 5x - 4
c = 7x + 7
-------------------------------------------------
perimeter = a + b + c
4x + 2 + 5x - 4 + 7x + 7
16x + 5
Blue triangle Perimeter = 16x + 5
--------------------------------------------------
Red triangle
a = x + 3
b = x + 7
c = 2x - 5
perimeter = a + b + c
x + 3 + x + 7 + 2x - 5
4x + 5
Red triangle Perimeter = 4x + 5
-----------------------------------------------------
The difference between
Larger triangle -> Blue
Smaller triangle -> Red
(16x + 5) - (4x + 5) = 12x
------------------------------------------------------
Perimeter when x = 3
Blue triangle Perimeter = 16x + 5
16*3 + 5 = 53
Red triangle Perimeter = 4x + 5
4*3 + 5 = 17
A six faced dice is rolled 6 times. Find the probability of getting at LEAST one 3.
Answer:
it's a 1/6 chance because it's a 6 faced dice