What is the value of x?
sin 55° = COS X

To find a(1), simply look at the first term, which is -17. This gives a starting point for the recursive formula.

Then, we want to write the recursive formula as a(n) = a(n - 1) + c, where c is the number you add to a term to get the next term. You can see from the values given that you are adding 9 to each term to get the next one, so the recursive formula would be a(n) = a(n - 1) + 9.

First term of sequence of arithmetic (a₁) is -17 and aₙ is -17 + 9(n-1)

What is arithmetic sequence?

A arithmetic sequence is defined as an arrangement of numbers which is particular order.

The formula to find the general term of an arithmetic sequence is,

aₙ = a₁ + (n-1)d

The geometric sequence defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.

The nth term of a geometric progression is expressed as

Tₙ = arⁿ⁻¹

Given data :

The arithmetic sequence -17, -8, 1, 10,...

First term of sequence of arithmetic (a₁) = -17

The common difference of arithmetic (d) = difference between the two term

The common difference of arithmetic (d) = -8 - (-17)

The common difference of arithmetic (d) = -8 + 17

The common difference of arithmetic (d) = 9

To determine the n term of arithmetic sequence

The nth term of a arithmetic sequence is expressed as :

aₙ = a₁ + (n-1)d

substitute the values of a₁ and d in the formula,

aₙ = -17 + (n-1)9

Let n = 5

a₅ = -17 + (5 - 1)9

a₅ = -17 + (4)9

a₅ = -17 + 45

a₅ = 28

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Answer:

104

Step-by-step explanation:

In this set data set (82, 97, 98, 100, 102, 102, 106, 112) the median is 101

This means that the upper quartile is 104

To find the upper quartile, you take the numbers that come after the median, and find the median of that set. So when finding the upper quartile of this data set, you will only look at the numbers 102, 102, 106, 112, and the median of this is 104.

Answer:

104

Step-by-step explanation:

The upper quartile is the median of the upper half of the data set, and that is 104.

:)

Answer:

( x + y )² = 32

Step-by-step explanation:

So far, I can tell that your calculations are incorrect. ( x + y )² is indeed x² + 2xy + y², which you can prove right by expanding the expression ( x + y )( x + y ). You simply swapped the positioning in this second step, and decided that the addition of x² + y² is x²y², but that is incorrect. You can't combine the two terms unless you multiply the two.

We should just be left with the expanded expression x² + y² + 2xy. Given that x² + y² = 17, and xy = 7.5, let's substitute and solve for the value of the expression.

17 + 2( 7.5 ) = 17 + 15 = 32,

( x + y )² = 32

Answer:

the other person is correct

Step-by-step explanation:

Answer: p - 0.2p

Step-by-step explanation:

Given the following :

Original Price of tennis racket = p

Mark down or discount on original price = 20% of original price = (20/100) × p = 0.2p

Amount after discount = Amount paid by Natasha

Amount after discount = Original price - Discount

Amount after discount = p - 0.2p

Amount paid by Natasha = p - 0.2p

Answer:

6/7

Step-by-step explanation:

Ruth has played 7 games.  She has scored 9 or more points in 6 of them.  That means she has a 6/7 probability of doing so again.

Answer:

6/7

Step-by-step explanation:

Answer:

3x6 dish soap = 18 dish soap

Step-by-step explanation:

Answer:

18 dish soaps

Step-by-step explanation:

Jonny has 3x6 dish soaps which is equal to 18 because if he has 3 rows and 6 columns and you multiply that you will get 18 dish soaps

Answer:

multiply 5/7 by 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

(4, -3)

Answer:

(4,-3)

Step-by-step explanation:

The first coordinate of the ordered pair is the x value or go across

to the right is positive  and the left is negative   so x = 4

The second coordinate of the ordered pair is the y value or go up and down

up is positive and down is negative  so y = -3

(4,-3)

Answer:

none it is

Step-by-step explanation:

-yoda

correct it is

Answer:

its none i took the test

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

math

Answer:

8 times a number plus 7

Step-by-step explanation:

if helps please mark brainliest!! Thanks!

An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is D.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression 8t+7 can be best described as 8 times a number plus 7.

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Answer: 35 chickens

Step-by-step explanation:

210/3=70

70/2=35

Explanation:

The notation [tex]\lfloor x \rfloor[/tex] means "floor of x". Whatever decimal value x is, we just ignore the decimal portion and just focus on the integer part. We round down to the nearest whole number. We always round down.

For something like x = 2.5 or x = 2.7, the value of [tex]\lfloor x \rfloor[/tex] will be 2. It doesn't matter that 2.7 is closer to 3 than it is to 2. The interval [tex]2 \le x < 3[/tex] will be entirely on the x axis since we are taking the result of the flooring operation and subtracting off 2. Notice how x = 3 is not included. This is because x = 3 leads to y = 1 instead of y = 0. So we have an open hole at the end of the interval. The same goes for any other piece as well.

Answer:

The Third option [ far right]

Answer:

It is an imaginary root.

Step-by-step explanation:

When we rearrange the formula, we get 7x^2 - 5x + 1 = 0

When we put it in the quadratic formula: x = (−b±√b^2−4ac ) over 2a, we get x = 5 ± √-5^2-4(7)(1) over 2(7)

The discriminant is inside the square root. It is a -3. And because it is negative, we know that the root is an imaginary root.

Answer:

I don't just want to tell you the answer but I can tell you how.

Step-by-step explanation:

Use the pythagorean theorem, since this is a right triangle. If you don't know what this is its a^2+b^2=c^2

I hope this helps, if you have questions comment or look online.

Answer:

The tank has a capacity of 6000 liters

2.75 cubic meters of concrete

Step-by-step explanation:

Answer:

E.5

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

Answer:

7/10 or 0.7

Step-by-step explanation:

cross multiply to get 40x+20=48

subtract 20 from both sides to get 40x=28

divide both sides by 40 to get 7/10

HOPE THIS HELPS!!!:)

Answer:

0.7 or 7/10

Step-by-step explanation:

Step 1: Cross-multiply.

2x+1  / 4  =  12 /20

(2x+1)*(20)=(12)*(4)

40x+20=48

Step 2: Subtract 20 from both sides.

40x+20−20=48−20

40x=28

Step 3: Divide both sides by 40.

40x /40  =  28 /40

x= 7 /10

Answer:

x= 7 /10

7/10 = 0.7

Answer:

44kg of cereal, 16kg of nuts

Step-by-step explanation:

Step 1. We work out how much the party mix would cost if all of it was nuts.

$2.50 x 60kg = $150

Step 2. We work out how much we want the party mix to cost if it had the correct ratio of nuts and cereal.

$1.40 x 60kg = $84

Step 3. We work out the difference between the two above numbers.

$150 - $84 =$66

Step 4. We work out the difference between the nut mix and the cereal mix.

$2.50 - $1 = $1.50

Step 5. We divide the answer to step 3 ($66) by the difference between the nut mix and cereal mix.

$66 ÷ $1.50 = 44

Step 6. The answer to step 5 is the mass of the cereal mix. We then minus 44kg from the total mix mass of 60kg to get the mass of the nut mix.

60kg - 44kg = 16kg

Step 7. We double check.

44kg of cereal = $44          16kg of nuts = $40           $44 + $40 = $84    

$84 ÷ 60kg = $1.4 per kg

Hope this helped!

Bluey :)

Answer:

B

Step-by-step explanation:

The line of reflection of y=x is when the x and y swap places which means that the point of (6,-5) should change to (-5,6)

Hope this helps!

Answer:

I believe the answer is B. translation 6 units right, and then a 90 degree clockwise rotation about the origin.

Step-by-step explanation:

Because if you try a by reflecting it across the x axis and then tranforming it 6 units to the right you get a differenct graph. The same  thing happens if you try c by rotating 180 degress counter clockwise about the origin!

I hope this helps, if it does please mark brainliest!!! Thank you. Have a great day :)

Answer:

Step-by-step explanation:

%($4.75 divided by 53.85) or is it the other way around. I always get these confuzzled.

Hope this helps some. That is the equation to solve for it. Sorry I wasn't much help on this subject

Answer:

it is 8.82% i did the test

Answer

Answer= 4

Step-by-step explanation:

The answer is 4 because for the median you have to put the numbers from smallest to largest.

When you have done that you have to find the middle number which in this case is 4.

Hope that helps you

1. Order data from least to greatest

2. Find the center of the data set

If there is no distinct center to your data,

find the mean of the two middle numbers.

1, 1, 2, 3, 4, 4, 4, 6, 6, 10

Since there is the two middle numbers are the same,

the median will be the number that appears two times.

In this case, the median is 4.

Answer:

387

Step-by-step explanation:

we can  use the formula y=-81+(x-1)13, because 13 is the common difference

then plug 37 in for x

you get y=-81+36(13)

which simplifys down to 387

Answer:

Step-by-step explanation:

Given,

y = 4

Now, let's evaluate:

[tex]2y - 10 + 8y[/tex]

Plug the values

[tex] = 2 \times 4 - 10 + 8 \times 4[/tex]

Multiply the numbers

[tex] = 8 - 10 + 32[/tex]

Calculate the sum of positive numbers

[tex] = 40 - 10[/tex]

Subtract the numbers

[tex] = 30[/tex]

Hope this helps...

Best regards!!

Answer:

30

Step-by-step explanation:

To solve your question we must first replace y with the given number. In this case, the number given is 4 so,

2 (4) - 10 + 8 (4)

We can now solve by multiplying 2 by 4 and 8 by 4

2 * 4 = 8

8 * 4 = 32

8 - 10 + 32 = 30

Hope this helps!!

Answer:

Part 1:  The range is 7-1 = 6

Part 2: 1 - 0.5 = 0.5

Part 3: 4 ( already rounded off )

Step-by-step explanation:

hope this helped <33

Answer:

14.13 units^2.

Step-by-step explanation:

The area of a circle is found by doing pi * r^2. In this case, the diameter is 6. 6 / 2 = 3. So, r = 3.

pi * 3^2 = pi * 9 = 9pi.

This is a semicircle, so the area will be half of the whole circle.

9pi / 2 = 4.5 * pi = 4.5 * 3.14 = 14.13 units^2.

Hope this helps!

Answer:

14.13

Step-by-step explanation:

6/2=3

3^2=9

9x3.14=28.26

28.26/2=14.13

Detailed explanation:

The diagonals of the parallelogram must be measured in order to ascertain its name. Let's figure out these numbers:

The slope of the EF is equal to (y2 - y1) / (x2 - x1) = (-1 - (-4)) / (0 - (-2)) = 3 / 2.

Diagonal GH: [(x2 - x1)2 + (y2 - y1)2] is the length of the GH.

= √[(-5 - (-3))² + (-2 - 1)²]

= √[(-2)² + (-3)²]

= √[4 + 9] = √13

Slope of GH is equal to (y2 - y1)/(x2 - x1) = (-2 - 1)/(-5 - (-3)) = -3 / -2 = 3 / 2

Let's examine the outcomes now:

The parallelogram is a rhombus if the lengths of both diagonals are equal (EF = GH) and the slopes of both diagonals are equal (slope of EF = slope of GH).

In our case, EF = GH = √13, and the slopes of EF and GH are both 3/2. Therefore, the parallelogram is a rhombus.

Therefore, the correct answer is c) Rhombus.

For the first question, the most specific name for the parallelogram defined by the coordinates E, F, G, and H is d) Square because the lengths of the sides and the diagonals are equal.

For the second question, the statement that would prove the parallelogram PWRS is a rhombus is d) Length of QR and PS is 2.2 and Length of RS and QP is 2.2, as it shows that all sides of the parallelogram are congruent.

To determine the most specific name for the parallelogram defined by the given coordinates, we need to analyze the properties of the shape based on the lengths and slopes of its diagonals.

Let's analyze each option:

a) Rectangle: In a rectangle, opposite sides are parallel and equal in length.

Diagonals are also congruent.

To determine if the parallelogram is a rectangle, we need to find the lengths of the diagonals.

Using the distance formula, we find that the length of EF is approximately 4.47 units, while the length of GH is approximately 4.24 units.

Since the diagonals are not congruent, the parallelogram is not a rectangle.

b) Triangle: A triangle is a three-sided polygon, which is not applicable to the given parallelogram.

c) Rhombus: In a rhombus, all sides are congruent.

The diagonals of a rhombus are perpendicular bisectors of each other. To determine if the parallelogram is a rhombus, we need to compare the slopes of the diagonals.

The slope of EF is -3/2, while the slope of GH is -3/2.

Since the slopes are equal, and the lengths of the sides are not given, we cannot determine if the parallelogram is a rhombus solely based on the given information.

d) Square: A square is a special type of rectangle and rhombus, where all sides are congruent and all angles are right angles.

Since we cannot determine if the parallelogram is a rhombus, we cannot conclude that it is a square.

In conclusion, based on the given information, we cannot determine the most specific name for the parallelogram defined by the coordinates.

For the second question, to prove that the parallelogram PWRS is a rhombus, we would need to show that the lengths of the sides are congruent and that the diagonals are perpendicular bisectors of each other.

However, based on the given options, we do not have the required information to prove that PWRS is a rhombus.

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Answer:

The answer would be 5 feet

Step-by-step explanation:

The class dropped the ball from 40 feet than after the ball bounced again it went to 20 feet than after the 2nd bounce it went to 10 feet and the pattern so far goes 40, 20, and 10. We need to find the common pattern of these 3 numbers and find the 4th number or [tex]x[/tex] so to find the 4th number you can see that if you divide every number by 10 than you will get 4, 2, and 1 which you can see when divided by 2 every time goes to the next number so 4 divided  by 2 is 2 and 2 divided by 2 is 1 so we can assume 1 divided by 2 will be x divided by 10 so 1/2 is 0.5 so x divided by 10 is equal to 0.5 so the equation would be [tex]\frac{x}{10} =0.5[/tex] so we could multiply by 10 on both sides so we would get x = 5 so the final answer would be 5.

Answer:

26 degrees.

Step-by-step explanation:

From the figure it is clear that HI is the diameter and [tex]acr(GI)=128^{\circ}[/tex]. So,

[tex]\angle GOI=128^{\circ}[/tex]

[tex]\angle GOI+\angle GOH=180^{\circ}[/tex]          (linear pair)

[tex]128^{\circ}+\angle GOH=180^{\circ}[/tex]

[tex]\angle GOH=180^{\circ}-128^{\circ}[/tex]

[tex]\angle GOH=52^{\circ}[/tex]

Using central angle theorem of a circle, we get

[tex]\angle HIG=\dfrac{\angle GOH}{2}[/tex]

[tex]\angle HIG=\dfrac{52^{\circ}}{2}[/tex]

[tex]\angle HIG=26^{\circ}[/tex]

Therefore, the measure of angle HIG is 26 degrees.