Complete the recursive formula of the arithmetic sequence 8, -5, -18, -31,..
d(1)=
d(n)=d(n-1)+

Answer:

Step-by-step explanation:

Answer:

1.) The diagonal lengths are equal

2.) The diagonals are perpendicular

Step-by-step explanation:

I don't have one sorry :(

Diagonal lengths are equal and the diagonals are perpendicular.

A quadrilateral is a four-sided polygon, having four edges and four corners.

Given ABCD is a parallelogram.

AB = 41 units

CD = 41 units

AD = 60 units

BC = 60 units

Diagonals

AC = 81 units

BD = 64 units

Angles

m BAD = 76°

m 2AEB = 68°

By observing the given data we found that AD and BC are diagonals which are equal in length.

The diagonal lengths are equal and The diagonals are perpendicular

Hence, diagonal lengths are equal and the diagonals are perpendicular.

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Answer:

\(sin^2x\)

Step-by-step explanation:

To simplify the expression (1 - cos x)(1 + cos x), we can use the difference of squares identity, which states that \(a^2 - b^2 = (a + b)(a - b).\)

Let's apply this identity to the given expression:

\((1 - cos x)(1 + cos x) = 1^2 - (cos x)^2\)

Now, we can simplify further by using the trigonometric identity \(cos^2(x) + sin^2(x) = 1.\) By rearranging this identity, we have \(cos^2(x) = 1 - sin^2(x).\)

Substituting this into our expression, we get:

\(1^2 - (cos x)^2 = 1 - (1 - sin^2(x))\)

Simplifying further:

\(1 - (1 - sin^2(x)) = 1 - 1 + sin^2(x)\)

Finally, we get the simplified expression:

\((1 - cos x)(1 + cos x) = sin^2(x)\)

To simplify the expression \(\sf\:(1-\cos x)(1+\cos x)\\\), follow these steps:

Step 1: Apply the distributive property.

\(\longrightarrow\sf\:(1-\cos x)(1+\cos x) = 1 \cdot 1 + 1 \cdot \\\)\(\sf\: \cos x -\cos x \cdot 1 - \cos x \cdot \cos x\\\)

Step 2: Simplify the terms.

\(\longrightarrow\sf\:1 + \cos x - \cos x - \cos^2 x\\\)

Step 3: Combine like terms.

\(\longrightarrow\sf\:1 - \cos^2 x\\\)

Step 4: Apply the identity \(\sf\:\cos^2 x = 1 - \sin^2 x\\\).

\(\sf\:1 - (1 - \sin^2 x)\\\)

Step 5: Simplify further.

\(\longrightarrow\sf\:1 - 1 + \sin^2 x\\\)

Step 6: Final result.

\(\sf\red\bigstar{\boxed{\sin^2 x}}\\\)

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The missing statement in Step 5 include the following: B. AC/DC = BC/EC.

In Mathematics and Geometry, two triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Based on the angle, angle (AA) similarity theorem, we can logically deduce the following congruent triangles:

ΔABC ≅ ΔDEC  ⇒ Step 4

By the definition of similar triangles, we can logically deduce the following proportional and corresponding side lengths:

AC/DC = BC/EC ⇒ Step 5

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

show the options

Step-by-step explanation:

Brainliest?

The following statements are true:

1. During the first 10 days the professor's standard deviation was more than 0.

4. It is impossible to tell anything about the professor's standard deviation for the first 10 days.

6. Considering all 11 days, the professor's standard deviation was higher than the standard deviation of the first 10 days.

The standard deviation is a measure of how spread out a set of data is. In this case, the data is the prices of the value meals that the professor orders. If all 10 of the first meals cost $5.39, then the standard deviation would be 0.

This is because there is no variation in the data. However, on the 11th day, the professor orders a meal that costs $4.38. This adds variation to the data, which means that the standard deviation will be greater than 0.

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Answer:

487

Step-by-step explanation:

We can use this formula to find the 60th term:

8n+7

Answer:

54

Step-by-step explanation:

what u gotta do is add 46 with 8 and you can check my answer with 54-46=8

difference means you subtract

sum means you add

product means you multiply

and quotiant means you divide

The required number is 27.

Given that,
To determine the number the difference of a number and 8 is 46 less than the number

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Let the number be x
The difference between a number and 8 is 46 less than the number
8 - x = x - 46
2x = 54
x = 27

Thus, the required number is 27.

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9514 1404 393

Answer:

  linear

  (x, y) = (36, 54), (68, 102)

Step-by-step explanation:

We observe that y-values are proportional to x-values with a constant of proportionality of 1.5. This is a linear function.

"The next 2 values in the table" presumes we can find the rule for choosing x. For the answer above, we have observed that first differences in x-values increase by powers of 2:

  8-6 = 2

  12 -8 = 4

  20 -12 = 8

So we have chosen the next two x-values to be 16 and 32 more than the one before:

  next x = 20 +16 = 36

  x after that = 36 +32 = 68

That is, the rule for x is ...

  xn = 4 + 2^n

and the rule for y is ...

  y = 1.5x . . . a linear function

The matrix of \(t\) relative to the basis \(b'\) is \(A' = \begin{bmatrix} -9 & 7 \\ -37 & 43 \end{bmatrix}\).

\(\textbf{To find the matrix of } t \textbf{ relative to the basis } b', \textbf{we have to follow some steps. The steps are described below:}\)

First, we have to find the images of basis vectors under the transformation \(t\). \(t(-1,1) = (-9,7)\) and \(t(1,-5) = (-37,43)\).

Represent the image vectors of the basis in the standard basis. We use these vectors as columns in the matrix of \(t\) in the basis \(b'\).

\((-9,7) = -9(1,0) + 7(0,1) = (-9,7) = -9(-1,1) + 7(1,-5)\)

\((-37,43) = -37(1,0) + 43(0,1) = (-37,43) = -37(-1,1) + 43(1,-5)\)

Hence, we can write the following equation: \(A[x]_{b'} = [x]_S\)

Where \(A[x]_{b'}\) is the main answer in the form of a matrix, and \([x]_S\) is the coordinate of \([x]_{b'}\) with respect to the standard basis.

Now, we will write the equations with the coordinates of the basis vectors of \(b'\).

\(A[1,0] = [-9, -37]\) and \(A[0,1] = [7, 43]\)

Now we will write the matrix of \(A\) as follows:

\(A = \begin{bmatrix} -9 & 7 \\ -37 & 43 \end{bmatrix}\)

Thus, the matrix of \(t\) relative to the basis \(b'\) is \(A' = \begin{bmatrix} -9 & 7 \\ -37 & 43 \end{bmatrix}\).

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Answer:

16x-24 -3x is less than 10x

Hey there!

8(2x - 4) - 3x > 5x + 6 - x

DISTRIBUTE 8 WITHIN the PARENTHESES

8(2x) + 8(-4) - 3x > 5x + 6 - x

16x - 32 - 3x > 5x + 6 - 1x

13x - 32 > 4x + 6

SUBTRACT 4x to BOTH SIDES

13x - 32 - 4x > 4x + 6 - 4x

SIMPLIFY IT!

9x - 32 > 6

ADD 32 to BOTH SIDES

9x - 32 + 32 > 6 + 32

CANCEL out: -32 + 32 because it gives you 1

KEEP: 6 + 32 because it helps solve for the x-value

NEW EQUATION: 9x > 6 + 32

SIMPLIFY IT!

9x > 38

DIVIDE 9 to BOTH SIDES

9x/9 > 38/9

CANCEL out: 9/9 because it gives you 1

KEEP: 38/9 because it helps solve for the x-value

NEW EQUATION:

x > 38/9 ≈ x > 4.222222222222222

SIMPLIFY IT!

Therefore, your answer is: x > 38/9

(IT IS AN OPEN CIRCLE SHADED TO THE RIGHT)

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

The required value of y is 4800

Answer:

Step-by-step explanation:

Note: It is assumed we are looking at  the total surface area (but the answer would be same for both cases)

Total surface area of cylinder A is:

Total surface area of cylinder B is:

Find the ratio of areas:

The equation y = -2x in the standard form is 2x + y = 0 and the graph of the function is shown below .

In the question ,

it is given that

the equation is y = -2x

The equation in standard form is represented as ax + by = c

to write the equation y = -2x in the standard form

taking all the terms to LHS , we get

2x + y = 0

hence y = -2x in standard form is 2x + y = 0 .

the graph is shown below .

Therefore , The equation y = -2x in the standard form is 2x + y = 0 and the graph of the function is shown below .

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The inradius of the triangle of the given dimensions will be equal to the value 2.

To find the inradius of a triangle, we need to know the semi perimeter of the triangle, which is half of the perimeter. The perimeter of a triangle is the sum of the lengths of its sides. So, the semi perimeter of triangle ABC is (6+8+10)/2 = 12.

Now that we know the semi perimeter, we can use the formula for the inradius of a triangle:

inradius = √(s-a)(s-b)(s-c)/s

where a, b, and c are the lengths of the sides of the triangle and s is the semi perimeter.

Plugging in the values for a, b, c, and s, we get:

inradius = √(12-6)(12-8)(12-10)/12 = √(6)(4)(2)/12 = √48/12} = √4 = 2

Therefore, the inradius of triangle ABC is 2.

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350 miles

1) Let's set those two equations:

1st plan:

73.98+0.09x 0.09x because that 0.09 depends on how many miles are driven

2nd plan:

59.98 +0.13x 0.13x because that 0.13 depends on how many miles are driven

2) We need now to equate those two equations so that we can find out how many miles

73.98 +0.09x = 59.98+0.13x Subtract 0.09x from both sides

73.98 = 59.98 +0.13x -0.09x Subtract 59.98 from both sides

73.98 -59.98 = 0.04x

14= 0.04x Divide both sides by 0.04

x =350

3) Hence, driving 350 miles won't matter choosing the 1st or the 2nd plan.

The 15% discount for home gym, and the $889 cost of the Flex 3,000 gives;

1. f(x) = 0.85•x + 139.95

2. With the deal, Charlotte's before tax cost is $895.6

The deal cost is more than the initial price making the deal not worth it.

1. We are given;

The percentage discount Charlotte gets = 15% = 0.15

Cost of the 6 months subscription = $139.95

Now, to get the function;

f(x) = Final before tax

x = Price of the home gym equipment

Therefore, using the discount of 15%, we will have;

f(x) = (1 - 0.15)x + 139.95

f(x) = 0.85x + 139.95

2. We are told that the cost of the Flex3000 is x = $889

Therefore;

f(889) = (0.85 × 889) + 139.95

f(889) = 895.6

Charlotte's before–tax cost with the deal will therefore be, $895.6

Since the workout channel holds no value to Charlotte, and then the deal cost is higher than the initial cost, then we can say that it isn't worth it for her to pay for the subscription to get the 15% discount

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Complete question is;

Charlotte has been saving up to buy a home gym so she can work out at home without having to pay for a

gym membership or worry about travel when the weather is bad (she lives in Minnesota where it snows

frequently). One day, she sees an ad for a 15% off sale at a fitness equipment store and decides it's a great

time to buy the home gym! She notices the fine print says that to get the 15% off the home gym, she has to

pay $139.95 up front for a 6-month subscription to a workout channel, which holds no value to her.

1. Using function notation, write an expression for the final before-tax cost, f(x), of the purchase

based on the initial price, x, of the home gym equipment with this deal.

2. She was considering purchasing the Awesome Flex3000 for $889. Using your function from

question 1, what would Charlotte be Charlotte's before-tax cost with the deal? Is it worth it for

her to pay for the subscription to get 15% off? Explain your answer.

The mean number of number of people in passengers cars on the highway is given as follows:

E. 6.28.

The expected value of a discrete distribution is calculated as the sum of each value multiplied by it's respective probability.

The distribution in this problem is given as follows:

Then the expected value before the transformation is given as follows:

E(X) = 0.56 x 1 + 0.28 x 2 + 0.08 x 3 + 0.06 x 4 + 0.02 x 5 = 1.7.

The transformation is given as follows:

Y = 0.75x + 5.

Thus the expected value after the transformation is of:

E(X) = 0.75(1.7) + 5 = 6.28.

Meaning that option E is correct.

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The probability that the average number of books read by a sample of 15 Americans falls between 3 and 15 is 0.992.

To find the probability, we need to use the Z-table. First, we calculate the standard error, which is the standard deviation divided by the square root of the sample size. In this case, the standard error is 10 divided by the square root of 15, which is approximately 2.582.

Next, we convert the given values (3 and 15) into Z-scores. The Z-score is calculated by subtracting the population mean from the given value and dividing it by the standard error. For 3, the Z-score is (3 - 12) / 2.582 = -3.489, and for 15, the Z-score is (15 - 12) / 2.582 = 1.161.

Using the Z-table, we find the probabilities associated with these Z-scores. The probability for a Z-score of -3.489 is close to 0, and the probability for a Z-score of 1.161 is approximately 0.874.

To find the probability between these two values, we subtract the smaller probability from the larger probability: 0.874 - 0 = 0.874.

However, since the Z-table only provides probabilities for positive Z-scores, we need to take the complement of the probability for the negative Z-score. The complement of 0.874 is 1 - 0.874 = 0.126.

Finally, we add the complement to the probability for the positive Z-score: 0.126 + 0.874 = 0.992.

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Area = πr²

= π × 8²

= 64π cm²

Decimal Answer: 7.23

Step-by-step explanation: 7+23/100 = 7.23

If I Helped, Please Mark Me As Brainliest, Have A Great Day :D

Step-by-step explanation:

Magnitude = sqrt ( (-12)^2 + (-4)^2 ) = sqrt 160 = 12.649

Angle = arctan(-4/-12) = 198 degrees

The Magnitude: 12.649 and Direction: 18° (option c).

To find the magnitude and direction of the vector v = (-12, -4), we can use the following formulas:

Magnitude (or magnitude) of v = |v| = √(vₓ² + \(v_y\)²)

Direction (or angle) of v = θ = arctan(\(v_y\) / vₓ)

where vₓ is the x-component of the vector and \(v_y\) is the y-component of the vector.

Let's calculate:

Magnitude of v = √((-12)² + (-4)²) = √(144 + 16) = √160 ≈ 12.649 (rounded to the thousandths place)

Direction of v = arctan((-4) / (-12)) = arctan(1/3) ≈ 18.435°

Since we need to round the direction to the nearest degree, the direction is approximately 18°.

So, the correct answer is:

Magnitude: 12.649 (rounded to the thousandths place)

Direction: 18° (rounded to the nearest degree)

The correct option is: 12.649; 18°

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Answer:

Josie is training for a race. The ratio of

the number of minutes she runs to the

number of miles she runs is 24 to 3.

She plans to run 10 miles. How many

minutes will it take her?

2 A chef planning for a large banquet

thinks that 2 out of every 5 dinner

guests will order his soup appetizer.

He expects 800 guests at the banquet.

Use equivalent ratios to estimate how

many cups of soup he should prepare.

3 Fred is making a fruit salad. The ratio

of cups of peaches to cups of cherries

is 2 to 3. How many cups of peaches

will Fred need to make 60 cups of

fruit salad?

4 A community garden center hosts a

plant giveaway every spring to help

community members start their

gardens. Last year, the giveaway

supported 50 families by giving away

150 plants. Based on this ratio, how

many plants will the center give away

this year in order to support 65 families?

5 The first week of January, there are

49 dogs and 28 cats in an animal shelter.

Throughout the month, the ratio of dogs

to cats remains the same. The last week

of January, there are 20 cats in the

shelter. How many dogs are there?

6 A wedding planner uses 72 ivy stems

for 18 centerpieces. When she

Step-by-step explanation:

i think

Answer:

make it an equation

Step-by-step explanation:

It's not an equation.

Answer:

Yesh I can!!

Step-by-step explanation:

But why does it want us to forward it when we can just read it? Nvm

Just have a good day!!!

Answer:

This message serves to prove how our mind can do amazing things in the beggining it was hard but your mind is reading it automatically without even thinking about it, Be proud ! only certain people  can read this . PLease forward it you can read this.

Step-by-step explanation:

This is the answer. ;-) I think is easy to read it.

|x − 37500| ≤ 4500; The salaries range from $33,000 to $42,000

The required decrease in dollars was $1222 and the amount of money in Bob's account at the end of last year was $3978.

To find the decrease in dollars and the amount of money in Bob's account at the end of last year, we can use the following steps:

Calculate the amount of the decrease. We can do this by multiplying the original amount by the percentage decrease as a decimal:

Decrease = 0.235 x $5200 = $1222

So, the decrease in dollars is $1222.

Calculate the amount of money in Bob's account at the end of last year. We can do this by subtracting the decrease from the original amount:

Amount at end of last year = $5200 - $1222 = $3978

So, the amount of money in Bob's account at the end of last year was $3978.

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When it comes to factoring the expressions   2r³ + 12r² - 5r - 30

1. Step 1: Start by grouping the first two terms together and the last two terms together. ⇒ 2r³ + 12r² - 5r - 30 = (2r³ + 12r²) + (-5r - 30)

The next few steps in factoring the expressions are;

Step 2: In each set of parentheses, factor out the GCF. Factor out a GCF of 2r² from the first group and a GCF of -5 from the second group.

⇒ (2r³ + 12r²) + (-5r - 30) = 2r²(r + 6) + (-5)(r + 6)

Step 3: Notice that both sets of parentheses are the same and are equal to (r + 6).                 ⇒ 2r²(r + 6) - 5(r + 6)

Step 4: Write what's on the outside of each set of parentheses together and write what is inside the parentheses one time. ⇒ (2r² - 5)(r + 6).

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Answer:

\(30w^2-1\)

Step-by-step explanation: