Answer:
\(6n - 5\)
Step-by-step explanation:
\(7 - 1 = 6\)
\(6n - 5\)
to check whether your answer is correct.
\(n = 1 \\ 6 \times 1 - 5 \\ 6 - 5 \\ = 1\)
\(n = 2 \\ 6 \times 2 - 5 \\ 12 - 5 \\ = 7\)
yes, it's correct
hope this helps you
A circle has a radius of `40` centimeters.
Which of these is closest to its circumference
Step-by-step explanation:
To find the circumference of a circle you use 2 · π · r
solve system by elimination
6.
2x + 5y = 14
4x + 2 y = -4
Answer:
x=−3 and y=4
Step-by-step explanation:
Multiply the first equation by -2,and multiply the second equation by 1.
−2(2x+5y=14)
1(4x+2y=−4)
Becomes:
−4x−10y=−28
4x+2y=−4
Add these equations to eliminate x:
−8y=−32
Then solve−8y=−32for y:
−8y=−32
−8y
−8
=
−32
−8
(Divide both sides by -8)
y=4
Now that we've found y let's plug it back in to solve for x.
Write down an original equation:
2x+5y=14
Substitute4foryin2x+5y=14:
2x+(5)(4)=14
2x+20=14(Simplify both sides of the equation)
2x+20+−20=14+−20(Add -20 to both sides)
2x=−6
2x
2
=
−6
2
(Divide both sides by 2)
x=−3
simplify: [2]
(−3d'2e'4)'3
_________
9d'2e'5
" ' " is used for square..
Answer:
\(81 {d}^{4} {e}^{7} \)
Step-by-step explanation:
Use properties of degrees:
1. When multiplying different degrees on one term, the degree indicators must be multiplied, for example:
\(( { {x}^{2}) }^{3} = {x}^{2 \times 3} = {x}^{6} \)
2. When dividing like terms (with the same base) with different degrees, the degree indicators must be subtracted, for example:
\( \frac{ {x}^{5} }{ {x}^{2} } = {x}^{5 - 2} = {x}^{3} \)
3. When squaring a negative term in parentheses, the minus is eliminated, for example:
\(( { - 3x})^{2} = 9 {x}^{2} \)
.
\( \frac{ {(( { - 3d})^{2} \times {e}^{4} )}^{3} }{ {9d}^{2} \times {e}^{5} } = \frac{729 {d}^{6} \times {e}^{12} }{9 {d}^{2} \times {e}^{5} } = 81 {d}^{4} \times {e}^{7} \)
Stevie borrowed $2,500 to pay for books for her first year at college. she will repay the loan in 24 monthly payments of $130.72. find the amount paid back and the finance charge.
Amount borrowed by Stevie in the first year of college is $2500 and will repay in 24 months with $130.72 payments then total amount paid by Stevie is $3137.28 and finance charges are $637.28.
As given in the question,
Amount borrowed by Stevie in the first year of college is $2500
Number of months Stevie repay all the loan amount = 24 months
Payments paid each month = $130.72
Total amount paid by Stevie is equal to
= 24 × 130.72
= $3137.28
Finance charges paid by Stevie on his loan
= $3137.28 - $2500
= $637.28
Therefore, amount borrowed by Stevie in the first year of college is $2500 and will repay in 24 months with $130.72 payments then total amount paid by Stevie is $3137.28 and finance charges are $637.28.
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I need help with this
========================================================
Explanation:
Y is between X and Z (not necessarily at the midpoint). This means the three points are on the same line. Going from left to right we have X, Y and Z in that exact order.
Put another way, segment XZ is cut into smaller pieces XY and YZ.
The smaller pieces XY and YZ add back up to the largest segment XZ.
--------------
XY + YZ = XZ
( XY ) + ( YZ ) = XZ
( 7a ) + ( 5a ) = 6a+24 ..... substitution
7a+5a = 6a+24
12a = 6a+24
12a-6a = 24 ....... subtracting 6a from both sides
6a = 24
a = 24/6 ....... dividing both sides by 6
a = 4 is the first answer we're after
-------------
Use this value of 'a' to find the length of each segment
XY = 7a = 7*4 = 28
YZ = 5a = 5*4 = 20 is the second answer we want
XZ = 6a+24 = 6*4+24 = 48
Note how XY+YZ = 28+20 = 48 to match with XZ = 48 we got in the previous line above.
Question: which number represents the following 8 degrees warmer today than monday answers: -7, 0, 7, 14
The number that represents 8 degrees warmer today than Monday is 0.
To find this, we can subtract 8 from the number that represents Monday's temperature.
Since Monday's temperature is not provided in the question, we cannot determine the exact number. However, out of the given options (-7, 0, 7, 14), the only number that is 8 degrees warmer than any other number is 0.
So, 0 represents the number that is 8 degrees warmer today than Monday.
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Help me with this please!!!!!!!!!!
Answer:
\(\sqrt{3} = q\)
Step-by-step explanation:
Sin(45) = q/\(\sqrt{6}\)
Sin(45) * \(\sqrt{6}\) = q
\(\sqrt{3} = q\)
Hope this helps!
Need help as fast as possible please
I will mark BRAINLIST only for correct answers babes :)
Thank you!
Answer:
What is ur book called
I will edit my answer after this
Answer:
1. you move a shape to somewhere else by a number of units
2. the position of the book changes
3. no you are just moving the shape
reg enters a triathlon race. He swims 1.25 kilometers, bikes 20.5 kilometers, and runs 1.59 kilometers.
How many kilometers is the race?
Enter your answer as a decimal in the box.
20 point 1 6
km
Total distance of the triathlon race is 23.34 kilometers.
Reg enters a triathlon race. He swims 1.25 kilometers, bikes 20.5 kilometers, and runs 1.59 kilometers.
The total distance of the race is 23.34 kilometers.
Reg enters a triathlon race.
He swims 1.25 kilometers, bikes 20.5 kilometers, and runs 1.59 kilometers.
In order to calculate the total distance of the race, we need to find the sum of the distance Reg swam, biked and ran. Therefore, Total distance = Distance swam + Distance biked + Distance ranTotal distance = 1.25 + 20.5 + 1.59 km
Total distance = 23.34 km.
The summary of this problem is that the total distance of the triathlon race is 23.34 kilometers.
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Could somebody please answer this
11. To find the scale factor: 10 / 5 = 2
scale factor: 2
To find the side: 12 / 2 = 6
Answer: 6ft
12. To find the side: 8 / 6 = 1.3
scale factor: 1.3
To find the side: 18 / 1.3 = 13.8
Answer: 13.8 ft
13. To find the side: 18 / 6 = 3
scale factor: 3
To find the side: 8 / 3 = 26
Answer: 24ft
Please mark me brainist.
For values of h very close to 0, which function best approximates (tan(x+5)-tan x) / h
Answer:
\(sec^2(x)\)
Step-by-step explanation:
This just means, what is the derivative of tan(x)The function that best approximates the given situation is sec²x.
We have to find
\(\lim_{h \to\00} \frac{tan(x+h)-tan x}{h}\)
Since the given expression reduces to 0/0 form when we apply the limits
So, let us apply the L'hospital rule
What is the L'hospital rule to find a limit?L'Hospital's Rule tells us that if we have an indeterminate form 0/0 or ∞/∞ all we need to do is differentiate the numerator and differentiate the denominator and then take the limit.
So, after differentiating the numerator as well as the denominator of the given expression with respect to h we get
\(\lim_{h \to\00} \frac{sec^2(x+h)-0}{1}\)
\(= lim_{h \to\00} \frac{sec^2(x+0)}{1}\\\\= sec^2x\)
Therefore, the function that best approximates the given situation is sec²x.
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Solve the question on the image attached.
Possible answers:
A) 1
B) 3
C) 5
Should be B.
There is a nested function structure. Let's first look at the limit of the interior (f(0)). The point we need to pay attention here is to look at the limits from the right and left. If both values are equal, we can say that it has a limit at that point.
If we express it algebraically;
\(lim_{x\to{0^-}}f(x)=lim_{x\to{0^+}}f(x)\) then,\(lim_{x\to{0}}f(x)=exist\)The left limit and the right limit of \(f(0)\) are equal and equal to \(2.\)
\(lim_{x\to{0^-}}f(x)=2\)\(lim_{x\to{0^+}}f(x)=2\)The left limit and the right limit of f(2) are equal and equal to 3.
\(lim_{x\to{2^-}}f(x)=3\)\(lim_{x\to{2^+}}f(x)=3\)As I have drawn with colored arrows in the graph below, we approach from the left and from the right, and if they both point to the same point, we can talk about the existence of the limit at that point. Otherwise, this function does not have a limit at that point.
Help! What is f(4) for the function F(x) =5x+7?
f(4)=
Answer:
27
Step-by-step explanation:
f(x) = 5x + 7
f(4) = 5(4) + 7
= 20 + 7
f(4) = 27
A new energy drink advertises 140 calories for 8 ounces. How many calories are in 20 ounces of the drink?
There are
calories in the 20 ounce drink.
Answer:
350
Step-by-step explanation:
in every 140 calories there is 8 ounces
what about in 20 ounce of drink
140 calories ___8 ounce
? 20 ounce
140×20 =2800÷8=350
Kyra and James each drowa
representation of the relationship between
rotond (A) and irrotond (B) number
shown below
KYRA
JAMES
WALN UMRERS REL NUMBERS
B
B
Whose do you agree with, and why?
Answer:
Kyra is correct.
Step-by-step explanation:
Rational numbers;
All numbers which can be written in the form of \(\frac{p}{q}\) are rational numbers.
Example: 1, 2, \(\frac{1}{2}\), 1.414141....
Irrational numbers:
Numbers which are not in the form of \(\frac{p}{q}\) are irrational.
Example: 1.234, π, √2
So rational and irrational numbers are two separate things.
But all positive and negative numbers are real numbers.
Real numbers may be rational or irrational both.
Therefore, Kyra's interpretation is correct.
Solve this equation 23x−15x=x−1
Answer:
x = 1/7
Step-by-step explanation:
23x - 15x = x-1
8x = x - 1
8x - x = 1
7x = 1
x = 1/7
Answer:
\(\sf x=-\frac{1}{7}\)Step-by-step explanation:
\(\sf 23x-15x=x-1\)
\(\sf 8x=x-1\)
\(\sf 8x-x=x-1-x\)
\(\sf 7x=-1\)
\(\sf \cfrac{7x}{7}=\cfrac{-1}{7}\)
\(\sf x=-\cfrac{1}{7}\)
find the vector =⟨1,2⟩ of length 2 in the direction opposite to =4−13.
Therefore, the vector ⟨1,2⟩ of length 2 in the direction opposite to 4−13 is -4⟨1,2⟩/5.
The vector ⟨1,2⟩ of length 2 in the direction opposite to 4−13 is -4⟨1,2⟩/5.
Firstly, the magnitude of the vector, |v| is given as 2, i.e.|v| = 2
The vector whose direction is to be found is 4−13, i.e. ⟨4,-13⟩.
Let us represent the direction of vector 4−13 as a unit vector.
Step 1: Calculate |4−13|, which is the magnitude of the vector:|4−13|=√{(4)^2 + (-13)^2}=√{16 + 169}=√185
Step 2: Find the unit vector of 4−13 by dividing it with its magnitude: i.e., u⟨4,-13⟩ = 1/√185⟨4,-13⟩
Step 3: Scale the unit vector by multiplying it with the given magnitude 2, and multiplying it with -1 to get the opposite direction of the vector 4−13.
That is, v= -2 u⟨4,-13⟩= -2/√185⟨4,-13⟩
Multiplying both the numerator and the denominator by 2 gives the expression as -4⟨4, -13⟩/5 = ⟨-16/5, 52/5⟩.
Therefore, the vector ⟨1,2⟩ of length 2 in the direction opposite to 4−13 is -4⟨1,2⟩/5.
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Linda and Juan went shopping. Linda spent $15 less than Juan.
If we let
z represents how much Juan spent, write an algebraic expression for how much Linda spent.
Answer:
Linda = z - 15
Step-by-step explanation:
Linda spent $15 less than Juan, it means: Linda + 15 = z
Linda + 15 - 15 = z - 15
Linda = z - 15
if you find this helpful, give me like and hearts.
Solve 3b=6v-3b, for V
Answer:
v = b
hope this helps
Simplify the expression
(Please show the work)
PLEASE HELP I CANT MISS ANY MORE QUESTIONS
Andrea has a bag of marbles. Without looking in the bag,
she selects a marble, records its color, and puts it back in
the bag. All marbles are equally likely to be chosen. She
performs the process 50 times. In the 50 trials, she records
the following colors of marbles from the bag.
Number of times a purple marble was chosen 24
Number of times a pink marble was chosen 11
Number of times a yellow marble was chosen 15
Based on the data Andrea collected, what is the estimated probability, in
simplest form, of choosing a purple marble from the bag?
A. 50/24
B. 48/50
C. 12/100
D. 12/25
Answer:12/100
Step-by-step explanat
Answer:
D. 12/25
Step-by-step explanation:
Simplify the linear expression 15+4(5y_10)
for each customer, product and month, count the number of sales transactions that were between the previous and the following month's average sales quantities. for january and december, display or 0.
by calculating the average sales quantities and comparing them with the sales quantities of the previous and following months, you can determine the number of sales transactions that meet the given criteria.
To count the number of sales transactions that were between the previous and the following month's average sales quantities, you can follow these steps:
1. Calculate the average sales quantity for each product and month. This can be done by summing up the sales quantities for each month and dividing it by the total number of sales transactions.
2. For each customer, product, and month, compare the sales quantity with the average sales quantities of the previous and following months.
3. If the sales quantity is between the previous and following month's average sales quantities, increment the count of sales transactions.
4. If it is January or December, display 0 as there are no previous or following months.
by calculating the average sales quantities and comparing them with the sales quantities of the previous and following months, you can determine the number of sales transactions that meet the given criteria.
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Among the SPI model, which one has the best flexibility, and which one has the best optimization? Please explain why?
Among the three variants of the SPI (Specific, Precise, and Impression) model, the Specific model exhibits the best flexibility, while the Impression model demonstrates the best optimization.
The Specific model excels in flexibility because it focuses on generating highly specific responses. It tends to produce detailed and accurate information based on the given input.
This flexibility allows users to obtain precise answers to their queries, making it particularly useful for tasks requiring specific knowledge, such as providing instructions, explaining concepts, or offering specific recommendations.
The Specific model's ability to generate focused responses enhances its flexibility for various use cases.
On the other hand, the Impression model stands out in optimization. It excels at generating responses that are more creative, imaginative, and subjective.
It has been optimized to prioritize generating impressive or entertaining output. This model is particularly suited for tasks that require engaging and captivating content, such as storytelling, generating ideas, or creative writing.
The Impression model's optimization focuses on generating outputs that leave a lasting impression on the audience, making it the best choice for such scenarios.
In summary, while the Specific model offers the best flexibility by providing specific and detailed information, the Impression model shines in optimization, generating impressive and captivating responses.
The choice between the two depends on the specific requirements of the task at hand, whether it demands precision or creativity.
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I need help with 15, 16, 17, and 18 please
Answer:
y = 2x + 2
Explanation:
We can use the following equation to write an equation in slope-intercept form.
\(y-y_1=m(x-x_1)\)Where (x1, y1) is a point in the line and m is the slope. Additionally, the slope can be calculated as:
\(m=\frac{y_2-y_1}{x_2-x_1}\)Where (x2, y2) is another point in the line.
So, replacing (x1, y1) by (0, 2) and (x2, y2) by (3, 8), we get that the slope is equal to:
\(m=\frac{8-2}{3-0}=\frac{6}{3}=2\)Finally, replacing m by 2 and (x1, y1) by (0, 2), we get:
\(\begin{gathered} y-2=2(x-0) \\ y-2=2x \\ y-2+2=2x+2 \\ y=2x+2 \end{gathered}\)Therefore, the equation in slope-intercept form is:
y = 2x + 2
Write the word sentence as an equation.
The quotient of 36 and a number g is 9.
Answer:
\(\frac{36}{g}\)=9
help me with this please
The values of a, b, c are 152°, 28°, 152° respectively.
What are angle at a point?Angles around a point describes the sum of angles that can be arranged together so that they form a full turn.
The sum of angles at a point will give 360°.
This means that a + b + c + 28 = 360
c +28 = 180° ( angle on a straight line)
c = 180 -28
c = 152°
c = a( alternate angles are equal)
therefore the value of a = 152°
b = 28( alternate angles are equal)
therefore the value of b is 28
therefore the values of a, b, c are 152°, 28°, 152° respectively
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Find the payment necessary to amortize the following loans using the amortization table, and round to the nearest cent if needed Amount of Loan: $12000 Interest Rate: 6% Payments Made: semiannually Number of Years: 8 4. Find the monthly payment for a 30-year real estate loan of $195,000 with an interest rate of 5%, which also has annual taxes of $3920 and annual insurance of $850.
The payment necessary to amortize the given loan is $949.04.
1. To find the payment necessary to amortize the given loans using the amortization table, the steps are as follows:
The formula to calculate the payment for amortizing a loan is given by: \(`P = r(PV) / [1 - (1 + r)^(-n)]`\)
Where, P = Payment amount
r = Interest rate per compounding period
n = Total number of compounding periods`PV`
= The present value of the loan, i.e., the amount of the loan
For a semiannual payment, the interest rate and the number of years are calculated as:
\(`r = (6 / 2) / 100 \\=\\0.03`\)
(semiannual interest rate) and
\(`n = 8 x 2 \\= 16`\)
(total number of compounding periods)
Using the above values in the formula, we get:
\(P = 0.03 x 12000 / [1 - (1 + 0.03)^(-16)]\\≈ $949.04\)
(rounded to the nearest cent)
Therefore, the payment necessary to amortize the given loan is $949.04.
Therefore, the payment necessary to amortize the given loan is $949.04.
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Find the value of x in the triangle shown below.
6.2
6.2
61
$
An isosceles triangle is one with two equal-length sides. The value of x is 58°.
What is an isosceles triangle?An isosceles triangle is one with two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case.
Since the given triangle is an isosceles triangle, therefore, the angle opposite to side 6.25 units will be equal, therefore, the sum of all the angles of the triangle will be,
61° + 61° + x = 180°
x = 58°
Hence, the value of x is 58°.
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susan has a collection of 40 nickels and dimes. if the number of nickels is three times the number of dimes, how many nickels and how many dimes does she have?