Simplify 6days to 4weeks to it lowest term in ratio

The solution to the variables are x = 7 and y = 4

From the question, we have the following parameters that can be used in our computation:

Shape = Triangle

The marks on the triangles imply that

So, we have the following representation

3x - 5 = 5y - 4

3x - 5 = y + 12

Substitute 3x - 5 = y + 12 in 3x - 5 = 5y - 4

y + 12 = 5y - 4

Evaluate the like terms

4y = 16

So, we have

y = 4

Substitute y = 4 in 3x - 5 = y + 12

3x - 5 = 4 + 12

So, we have

3x = 21

This gives

x = 7

Hence, the values are x = 7 and y = 4

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The measures of the arithmetic sequence are given as follows:

a. \(S_{10} = 350\)

b. \(A_{n + 1} = 17 + 4n\)

c. \(S_n = \frac{n(30 + 4n)}{2}\)

d. \(A_n = 17 + 4(n - 1)\)

An arithmetic sequence is a sequence of values in which the difference between consecutive terms is constant and is called common difference d.

The nth term of an arithmetic sequence is given by the rule shown below:

\(a_n = a_1 + (n - 1)d\)

In which \(a_1\) is the first term of the sequence.

The sum of the first n terms is given by the rule shown below:

\(S_n = \frac{n(a_1 + a_n)}{2}\)

The equation given for this problem is:

\(a_{n + 4} = 4n + 17\)

Hence the sequence can be written as follows:

17, 21, 25, 29, 33.

Then the first term and the common ratio are given as follows:

\(a_1 = 17, d = 4\)

Then the nth term is of:

\(A_n = 17 + 4(n - 1)\)

The (n + 1)th term is of:

\(A_{n + 1} = 17 + 4(n + 1 - 1)\)

\(A_{n + 1} = 17 + 4n\)

The sum of the first n terms is of:

\(S_n = \frac{n(a_1 + a_n)}{2}\)

\(S_n = \frac{n(17 + 17 + 4(n - 1))}{2}\)

\(S_n = \frac{n(30 + 4n)}{2}\)

The sum of the first ten terms is of:

\(S_{10} = \frac{10(30 + 4(10))}{2} = 350\)

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Answer:

x + 4y = 13

x = -4y + 13....now we sub this into the first equation

2x - 3y = -29

2(-4y + 13) - 3y = -29 <=====

-8y + 26 - 3y = -29

-11y + 26 = -29

-11y = -29 - 26

-11y = -55

y = 55/11

y = 5

x = -4y + 13

x = -4(5) + 13

x = -20 + 13

x = -7

Step-by-step explanation:

A residual plot is a scatterplot in which the residuals (vertical distances between the predicted and actual values) are plotted against the independent variable. A residual is defined as the difference between the predicted value (based on the regression equation) and the actual value.

Residual plots are a valuable tool for checking the adequacy of the model. It helps us check whether the assumptions of linearity, independence, equal variance, and normality are met or not.

The most basic way to create a residual plot is to plot the residuals against the fitted values. If the points in the residual plot are randomly scattered around the horizontal axis, then the assumption of linearity has been met.

If the points show a pattern, such as a curved line, then the assumption of linearity has been violated.To create a residual plot, follow these steps:

Step 1: Estimate the regression equation and obtain the predicted values (ŷ) and residuals (e). ŷ = b0 + b1X

Step 2: Plot the residuals on the vertical axis and the independent variable (X) on the horizontal axis

.Step 3: Look for patterns in the residual plot. If the points are randomly scattered around the horizontal axis, then the assumptions of linearity, independence, equal variance, and normality are met. If there is a pattern, such as a curved line, then the assumptions have been violated. A residual plot can be used to detect outliers, influential observations, and nonlinearity.

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Answer:

\(-\frac{9}{1}\)

Step-by-step explanation:

Its just the same way as making positive 9
a fraction, but just add the negative sign.

Hope this helps :))

Answer:

x = 18

Step-by-step explanation:

Let's take a look at our equation:

x/9 + 6 = 8

We can use simplifying and solving rules to solve for x. First, I'd like to take 6 away from both sides of the equation to get the following:

x/9 = 2

Since 9 is being divided by x, I can multiply both sides by 9 to cancel out the /9 and get x by itself:

x = 18

So, x is equal to 18. We can check our work like this:

Is 18/9 + 6 = 8?

Well, 18/9 is equal to 2. Is 2 + 6 = 8? Yes! So our answer is correct.

If you need clarification on anything, let me know1

We have verified the given identity: 6 cos(x + y)cos(x − y) = 6 cos^2(x) − 6 sin^2(y).

To verify the given identity, let's simplify the expression step by step:

Starting with the left side of the equation:

6 cos(x + y)cos(x − y)

Using the cosine of the sum and difference of angles formula:

6 [cos(x)cos(y) − sin(x)sin(y)][cos(x)cos(y) + sin(x)sin(y)]

Expanding the expression:

6 [cos(x)^2cos(y)^2 − sin(x)^2sin(y)^2]

Using the trigonometric identity cos^2(x) = 1 - sin^2(x):

6 [(1 - sin^2(x))(1 - sin^2(y)) − sin^2(x)sin^2(y)]

Expanding further:

6 [1 - sin^2(x) - sin^2(y) + sin^2(x)sin^2(y) - sin^2(x)sin^2(y)]

Combining like terms:

6 [1 - sin^2(x) - sin^2(y) + 2sin^2(x)sin^2(y)]

Now, let's simplify the right side of the equation:

6 cos^2(x) - 6 sin^2(y)

Using the trigonometric identity cos^2(x) = 1 - sin^2(x):

6 (1 - sin^2(x)) - 6 sin^2(y)

Simplifying further:

6 - 6 sin^2(x) - 6 sin^2(y)

Comparing the simplified expressions on both sides, we can see that they are equal:

6 [1 - sin^2(x) - sin^2(y) + 2sin^2(x)sin^2(y)] = 6 - 6 sin^2(x) - 6 sin^2(y)

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The values of the variables are;

x = 7

y = -9

From the information given, we have that;

5x−y=44

−3x−y=−12

Using the elimination method of solving simultaneous equations

Subtract equation (2) from equation (1), we get;

5x - y - (-3x - y) = 44 - (-12)

Now, expand the bracket

5x - y+ 3x + y = 56

collect the like terms

5x + 3x = 56

add the terms

8x = 56

Make 'x' the subject of formula

x= 7

Now, substitute the value of x in equation (2)

-3x - y = -12

-3(7) - y = -12

expand the bracket

-21 - y= - 12

collect like terms

-y = 9

y = -9

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The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

48.55

Step-by-step explanation:

Answer:

48.55

Step-by-step explanation:

Convert 70 into 70.00 and then it will be easier to subtract.

The minimum sample size required to construct a 95% confidence interval for the population mean is 16.

To determine the minimum sample size required to construct a 95% confidence interval for the population mean circumference of tennis balls within 0.05 inch, we need to use the formula for the margin of error:

Margin of error = Z* (σ/√n)

Where Z* is the z-score corresponding to the desired confidence level, σ is the population standard deviation, and n is the sample size.

Since we want a 95% confidence interval, Z* = 1.96 (from a standard normal distribution table).

We are given that σ = 0.10 inch and we want the margin of error to be 0.05 inch. Plugging in the values, we get:

0.05 = 1.96 * (0.10 / √n)

Solving for n, we get:

n = [(1.96 * 0.10) / 0.05]² = 15.36

We can't have a fractional sample size, so we round up to the nearest whole number. Therefore, the minimum sample size required is 16.

This means that the manufacturer needs to randomly select and measure the circumferences of at least 16 tennis balls to estimate the population mean circumference with 95% confidence and a margin of error of 0.05 inch.

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Answer:

\((cosA + cos B)^2 + (sin A +sinB)^2 \\\\= cos^2A + cos^2B + 2cosA cosB + sin^2A +Sin^2B +2sinAsinB\\\\=(cos^2A + sin^2 A) + (cos^2B +sin^2B) +2cosAcosB + 2sinAsinB\\\\= 1 + 1 + 2cosAcosB + 2sinAsinB\\\\=2 + cos(A+B)+cos(A-B) + cos(A-B) -cos(A+B)\\\\=2 + 2cos(A-B)\\\\=2(1 + cos(A-B))\\\\=2\times 2 cos^2(\frac{A-B}{2})\\\\=4cos^2(\frac{A-B}{2})\)

Hence proved .

Answer:

The half-life of the radioactive goo is approximately 41.82 minutes. The formula for the amount of goo remaining at time t is G(t) = 296 * (1/2)^(t/41.82). After 38 minutes, there will be approximately 66.5 grams of goo remaining.

To find the half-life of the radioactive goo, we can use the formula for exponential decay:

N(t) = N₀ * (1/2)^(t/h)

where N(t) is the amount of goo remaining at time t, N₀ is the initial amount of goo, t is the time elapsed, and h is the half-life of the goo.

In this case, N₀ = 296 grams, N(t) = 9.25 grams, and t = 135 minutes. We can plug these values into the formula and solve for h:

9.25 = 296 * (1/2)^(135/h)

To solve for h, we can take the logarithm of both sides:

log(9.25) = log(296) + (135/h) * log(1/2)

Simplifying further:

(135/h) = (log(9.25) - log(296)) / log(1/2)

(135/h) ≈ -3.2279

h ≈ 135 / (-3.2279)

h ≈ -41.82

Since the half-life cannot be negative, we take the absolute value:

half-life ≈ 41.82 minutes (rounded to one decimal place)

The formula for the amount of goo remaining at time t (in minutes) can be written as:

G(t) = 296 * (1/2)^(t/41.82)

To find the amount of goo remaining after 38 minutes, we can substitute t = 38 into the formula:

G(38) = 296 * (1/2)^(38/41.82)

G(38) ≈ 66.5 grams (rounded to one decimal place)

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Answer:

26

Step-by-step explanation:

Answer:

A on edge

Step-by-step explanation:

I just took the test :3

Answer:

14.34mm

Step-by-step explanation:

The formula for the volume of a sphere = 4/3nr³

where

n = 22/7

r = radius

give the volume of the sphere, we can determine the radius

12345 = 4/3 x 22/7 x r³

12345 = 88/21 x r³

divide both sides by 21/88

r³ = 2945.965909

take the cube root of both sides

r = 14.34 mm

Answer:

it is a square

Step-by-step explanation:

if you plot the 4 points and find the distance using the distance formula between each point, the distance is 2\(\sqrt{13}\) on all 4 sides.

Answer:

Step-by-step explanation:

sorry if it doesnt help

Answer:

q=8/3

Step-by-step explanation:

First, add 5/6 to both sides to get rid of -5/6 to get q=16/6 then simplify to q=8/3.

Answer:

\(q=2\frac{2}{3}\)

Step-by-step explanation:

The given equation consists of a fraction and a mixed number.

First, convert the mixed number into an improper fraction by multiplying the whole number by the denominator of the fraction, adding this to the numerator of the fraction, and placing the answer over the denominator:

\(q-\dfrac{5}{6}=1 \frac{5}{6}\)

\(q-\dfrac{5}{6}=\dfrac{1 \cdot 6+5}{6}\)

\(q-\dfrac{5}{6}=\dfrac{11}{6}\)

Now, add 5/6 to both sides of the equation to isolate q:

\(q-\dfrac{5}{6}+\dfrac{5}{6}=\dfrac{11}{6}+\dfrac{5}{6}\)

\(q=\dfrac{11}{6}+\dfrac{5}{6}\)

As the fractions have the same denominator, we can carry out the addition by simply adding the numerators:

\(q=\dfrac{11+5}{6}\)

\(q=\dfrac{16}{6}\)

Reduce the improper fraction to its simplest form by dividing the numerator and denominator by the greatest common factor (GCF).  

The GCF of 16 and 6 is 2, therefore:

\(q=\dfrac{16\div 2}{6 \div 2}\)

\(q=\dfrac{8}{3}\)

Finally, convert the improper fraction into a mixed number by dividing the numerator by the denominator:

\(q=2 \; \textsf{remainder}\;2\)

The mixed number answer is the whole number and the remainder divided by the denominator:

\(q=2\frac{2}{3}\)

Answer:

Step-by-step explanation:

Answer:

A^n = [4^n 4^n

0 1]

Step-by-step explanation:

To find the solution for the 2x2 matrix A:

[4 4

0 1] to the nth power = [ ]

We can use matrix multiplication to raise A to the nth power. Let's start with n = 1:

A^1 = [4 4

0 1]

Now, let's solve for A^2 by multiplying A^1 by A:

A^2 = A x A^1

= [4 4 [4 4

0 1] 0 1]

= [16 16

0 1]

Next, let's solve for A^3:

A^3 = A x A^2

= [4 4 [16 16

0 1] 0 1]

= [64 64

0 1]

We can see a pattern emerging:

   A^1 = [4 4

   0 1]

   A^2 = [16 16

   0 1]

   A^3 = [64 64

   0 1]

We can generalize this pattern as follows:

A^n = [4^n 4^n

0 1]

Therefore, the solution for the 2x2 matrix A raised to the nth power is:

A^n = [4^n 4^n

0 1]

Applying the angles of intersecting chords theorem, the value of x in the first figure is: x = 7.

If two chords of a circle intersect, the angles of intersecting chords theorem states that, the measure of the angle formed equals 1/2(sum of the measure of the arcs which are intercepted.

Thus, we can use the angles of intersecting chords theorem to find missing angles or value of x in the questions given.

For example, let's find the value of x in the first figure given:

12x + 5 = 1/2(83 + 95)

12x + 5 = 89

12x = 89 - 5

12x = 84

x = 7

Using same strategy, you can solve the rest of the problem given.

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Answer:

I think its D but I might be wrong

Step-by-step explanation:

no 15:35 and 35:15  

_ _ _ _ _ _ _ _  _ _ _ _ _ _ _ _ _ _ _ _  _ _ _ ___

Answer:

Can you link a table or something? We cant solve this problem without more information.

Step-by-step explanation:

Answer:

24 oz

Step-by-step explanation:

can i have brainliest i've never got one

The depth of the crater in yards is 387.2 yards

Since the crater is 13,937.63 in deep, we convert this to yards.

Since 36 in = 1 yard, we use this conversion factor to convert to yards

13,937.63 in × 1 yard/36 in = 387.16 yards

≅ 387.2 yards to the nearest tenth

So, the depth of the crater in yards is 387.2 yards

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Answer: m angle 1=164°

Step-by-step explanation:

Since the two provided angles are congruent we can make the equation

4x-20=3x-11

Subtract 3x from each side

x-20=-11

Add 20 to each side

x=9

now apply our x to one of the angles

4(9)-20

36-20

16

In a parellelogram all sides added up =360° so if we subtract 16•2 from 360 we can get the sun of the two remaining angles. So 360-32 is 328°. Divide that by 2 to get the angle measure of one of the two angles. 164

Answer:

The domain is \(D_C = [0,\infty)\)

The range is: \(R_C = [20,\infty)\)

Step-by-step explanation:

Domain and range of a function:

The domain of a function are the values that the input assumes, while the range are the values that the output assumes.

In this question:

\(C(m) = 0.05m + 20\)

m is the input, which is the number of phone calls, which can be any number between 0 and infinite. So

The domain is \(D_C = [0,\infty)\)

When the input is m = 0, the value of C(0) = 20. As m increases, so does C(m). This means that:

The range is: \(R_C = [20,\infty)\)

Answer:

Option 1  because

domain: m is Greater than or equal to zero

range: C is greater than or equal to twenty

Step-by-step explanation:

The (C) cost of the bill is always going to start at twenty and be higher depending on how many (m) minutes were used.

Edg2021

The state spelled out with letter tiles depends on the probability of picking the letter O, and the possible states are Ohio,  Colorado and  Oregon respectively.

To solve this problem, we need to consider the frequency of the letter O in each state's name.

If the probability of picking the letter O is 1/2, then the state must have two O's in its name. The only state that meets this criteria is OHIO.

If the probability of picking the letter O is 3/8, then the state must have three O's in its name. The only state that meets this criteria is COLORADO.

If the probability of picking the letter O is 1/3, then the state must have at least three O's in its name. The only state that meets this criteria is OREGON.

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Answer:

1,053 applications

Step-by-step explanation:

hope this helps!! please mark brainliest :))

Answer:lol figure it out Step-by-step explanation:

Answer:

3

Step-by-step explanation:

6 (3x+5)=6 (3x)+6 (5)

=18x+30

DISTRIBUTIVE LAW OF ADDITION

Answer:

#3

Step-by-step explanation:

6(3x+5) = 6(3x) + 6(5) = 18x +30

Can I have brainliest please..? hee hee