I’m having a hard time with this problem

Its common difference is 6 while its first term is 5. The position of 299 in this sequence is 50th term.

An arithmetic sequence is a sequence of numbers with a common difference. Common difference is the difference between two adjacent numbers on the arithmetic sequence.

Based on the information given, we can determine the common difference by dividing the difference between the number and the position.

d = (65 - 23) / (11 - 4)

d = 6

Use the formula for the nth term of an arithmetic sequence to solve for the first term, a.

nth term = a + (n - 1)d

23 = a +(4 - 1)6

a = 23 - (4 - 1)6

a = 5

Using again the formula for the nth term of an arithmetic sequence, determine the position of 299 in the sequence.

nth term = a + (n - 1)d

299 = 5 + (n - 1)6

n = 50

Hence, the common difference of the arithmetic sequence is 6 and its first term is 5 and 299 is its 50th term.

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There are 50 predicted rolls for 5 in 300 times of rolls.

A probability is a number that reflects the chance or likelihood that a particular event will occur.

Given that, Janet rolls a 6-sided number cube 300 times,

Probability = (Favourable Outcomes)/(Possible Outcomes)

Favourable Outcomes: 5 (1 total)

Possible Outcomes: 1,2,3,4,5,6 (6 total)

Probability of a 5 in any given roll of a die = 1/6

1/6x300 = 50 = 50 predicted roll with 5.

Hence, There are 50 predicted rolls for 5 in 300 times of rolls.

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Answer:

x=2/3ym+4y-m-6y,y,m

Answer:

m<wzx = 71

Step-by-step explanation:

Assuming these are interior angles of a triangle.

The sum of all three interior angles of a triangle is always 180 degrees, therefore:

m<xyz + m<wxz + m<wzx = 180

Substitute our values:

58 + 51 + m<wzx = 180

m<wzx = 180 - 58 - 51

m<wzx = 71

Answer:

y = 3/5x - 1

Step-by-step explanation:

y = mx + b

m = slope

m = 3/5

to find the y - intercept we have to make x = 0 by adding or subtracting

in this case it is +5

add five to both x and y

\((-5, -6) + (5, 5) = (0, -1)\)

the y intercept focuses on what y is when x is 0

the y intercept in this case is -1

Answer:

6×6×1-(2×2×1)=36-4=32.

Answer:

Translate point J 12 units down and 6 units right.

The correct answer would be: x = 2y^2

Answer:

its D

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

if it has a square in the center of the angle it means it is 90 degrees

so a straight line adds up to 180b

90 +30+x=180

x=60

Step-by-step explanation:

a) -2 - (-9) = 7

→ -2 + 9 = 7

as, when the bracket will be open ( - ) (-) = + so 9 will be positive and as 2 is negative they will get subtracted and as 9 is greater no. and have a positive sign so, the answer will be positive as well.

b) -2-9 = -11

as the both numbers are negative so they will get added so we got 11 and also they bith share negative sign so in addition or subtraction the result will have the same sign as the numbers which are added have.

c) -2 - (-9) - (-2) = 9

→ -2 + 9 + 2

→ -2 + 11 = 9

when both the bracket will get open so the negative sign will change with positive so 2 and 9 have a positive sign and as they have similar sign when they will get add up than they will have same sign so we will get 9+2=11, a positive 11 and as 2 is negative so they will be subtracted and 11 is greater so we will have a positive 9.

hope this answer helps you dear...and may u have a great day ahead!

The total amount that he will owe after the loan period of 25 weeks is; $806.25

The formula to calculate simple interest is;

I = PRT/100

Where;

P is principal

R is rate

T is time

We are given;

P = $780

R = 7%

T = 25 weeks = 25/52 years

Thus;

I = (780 * 7 * 25/52)/100

I = $26.25

Total payoff = $780 + $26.25

= $806.25

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If the value of |A| is 48 the possible values for x in the matrix is 4 or -2.

The determinant of the matrix A is as follows:

|A| = 48

Therefore,

48 = (3x × 2x) - (4x × 3)

48 = 6x² - 12x

6x² - 12x - 48 = 0

3x² - 6x - 24 = 0

x² - 2x - 8 = 0

x² + 2x - 4x - 8 = 0

x(x + 2 -4(x + 2) = 0

(x - 4)(x +2) = 0

Therefore,

x = 4 or -2

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Step-by-step explanation:

We use tangent because it uses opposite over adjacent.

So,

tan 33 = x/46

or

46 * tan 33 = x

Type this into the calculator and you get around 29.87

Answer:

c is the answer

DO MARK BRAINLIEST

Using linear function you would need to cross the bridge 30 times for the costs of the two toll options to be the same.

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Answer:

a)

slope = (-4 cm) / (650 cm)

slope ≈ -0.00615

b)  the section of the road measured horizontally is approximately 3983.74 cm long.

Step-by-step explanation:

change in horizontal distance = (change in vertical distance) / slope

change in horizontal distance = (-24.5 cm) / (-0.00615)

change in horizontal distance ≈ 3983.74 cm

The value of d in the image that shows the two parallel lines that are crossed by the transversal is determined as: 125°.

In geometry, a transversal is a line that intersects two or more other lines at distinct points. When a transversal intersects a pair of parallel lines, it creates various angles and relationships between those angles.

The image attached below shows the two parallel lines which are crossed by the transversal, where angle d and 125° are vertical angles.

Since they are vertical angles, they will be equal or congruent to each other. Therefore, the value of d = 125°

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To find the number of dimes and quarters, you have 17 dimes and 34 quarters in your pocket , when there are 51 coins in your pocket.

To solve this problem, we can set up a system of equations using the given information. Let's use "d" to represent the number of dimes and "q" to represent the number of quarters.

We know that there are 51 coins in total, so we can write the equation: d + q = 51.

We also know that the total value of the coins is $10.20, which can be expressed as 10d + 25q (since dimes are worth 10 cents and quarters are worth 25 cents). So our second equation is: 10d + 25q = 1020.

To solve this system of equations, we can use substitution or elimination. Let's use substitution:

Rearrange the first equation to solve for d: d = 51 - q.

Substitute this expression for d in the second equation: 10(51 - q) + 25q = 1020.

Simplify and solve for q: 510 - 10q + 25q = 1020.

Combine like terms: 15q = 510.

Divide both sides by 15: q = 34.

Now substitute this value back into the first equation to solve for d: d + 34 = 51.

Subtract 34 from both sides: d = 17.

Therefore, you have 17 dimes and 34 quarters.

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what are you saying?

Step-by-step explanation:

i dont kno if you are a thailander or not???

The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

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The equations that are parallel to the line 3x - 4y = 7 and pass through the point (-4, -2) can be represented by: \(y + 2 = \frac{3}{4} (x + 4)\)  and  \(3x - 4y = -4\)

We know that the equation can represent the slope-intercept form of a line: y = mx + c, where b is y-intercept and m is the slope

We can represent the line 3x - 4y =7 in the equation of slope-intercept form:   => 3x - 4y = 7  =>  4y = 3x - 7

          => \(y = \frac{3}{4} x - \frac{7}{4}\)

by comparing this, we get slope for equation 3x - 4y = 7 => m = 3/4

Also, Parallel lines have the same slopes so the slope of the parallel line will be m = 3/4

We are given that the line passes through (-4, -2) and with m = 3/4 we can get the point-slope form of the line: y - y₁ = m(x - x₁)

where (-4, -2) = (x₁, y₁)  and m = 3=4

        =>  \(y - (-2) = \frac{3}{4}(x - (-4)\)         =>  \(y + 2 = \frac{3}{4} (x + 4)\)

So,   \(y + 2 = \frac{3}{4} (x + 4)\) is the parallel line

By simplifying this equation, we get :

\(y = \frac{3}{4} (x + 4) -2\)   =>  \(y = \frac{3x +12 -8}{4}\)

\(4y = 3x + 4\)     =>   \(3x - 4y = -4\)

Hence, The equations representing the lines parallel to 3x - 4y = 7 are: \(y + 2 = \frac{3}{4} (x + 4)\) and \(3x - 4y = -4\)

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Answer:

What are some of the options?

Step-by-step explanation:

The values of x is 6 and y is (-6).

An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.

Given:

-4x-5y=6............(1)

9x+7y=12..................(2)

Solving Equation (1) and (2) we get

-36 x  - 45y = 54

36x + 28y = 48

____________

         -17y= 102

              y= -6.

and, -4x -5y= 6

-4x - 5(-6) = 6

-4x + 30 = 6

-4x = 6-30

-4x = -24

x= 6

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Note that the roots of the equation Unequal and rational (Option D)

The roots of the equation   (x - 3)² = 4 can be found by taking the square root of both sidesof the equation.

x - 3 = ±√4

⇒ x - 3 = ±2

Solve for x

For the positive square root.

x - 3 = 2

x = 2 + 3

x = 5

For the negative square root.

x - 3 = -2

x = -2 + 3

x = 1

Since the equation has two roots, x = 5 and x = 1. These roots are unequal and rational. (Option D)

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Full Question:

Although part of your question is missing, you might be referring to this full question:

The roots of the equation (x - 3)² = 4 are

A.Unequal and irrational.

B.Equal and rational.

C.  Equal and irrational.

D.  Unequal and rational.

The production schedule for maximum profit is; X = 3 and Y = 6 with a maximum profit of $960

We are told that  two products X and Y, has a total production capacity of 9 tones per day, X and Y requiring the same production capacity

The firm has a permanent contract to supply at least 2 tones of X and at least 3 tones of Y per day to another company.

Let product A be x and product B be y. Therefore we have the following inequalities and constraints as;

x + y ≤ 9

x ≥ 2

y ≥ 3

Now, we are told that each tonne of A requires 20 machine hours of production time and each tonne of B requires 50 machine hours of production time. The daily maximum possible number of machine hours is 360. Thus, we have;

20x + 50y ≤ 360

Wea re told that all the firm's output can be sold and the profit made is $80 per tonne of A and $120 per tonne of B. Thus, we have the inequality as;

Z = 80x + 120y  maximize

The solution from the graph attached is;

x = 3, y = 6

Thus, the maximum profit is;

Z = 80(3) + 120(6)

Z = 960

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Answer: The correct statements are:

1 SS before tax costs $19.20

Sales tax for 2 SS is $2.88

Total cost for 2 SS is $41.28

Step-by-step explanation:

$16 x 1.20 = $19.20 cost before tax

$19.20 x 0.075 = $1.44 sales tax, one shirt

Sales tax for 2 shirts = $1.44 x 2 = $2.88

Total cost of a shirt = $19.20 + $1.44 = $20.64

Total cost for 2 shirts = $20.64 x 2 = $41.28

P(same number on both) = 10/60 = 1/6 and P(odd, even) or P(even, odd)  = 1/4

There are 10 possible outcomes on the 10-sided die and 6 possible outcomes on the 6-sided die

The total number of possible outcomes is 10 x 6 = 60.  

To get the same number on both, we need to get one of the 10 numbers on the first toss and then get the same number on the second toss. There are 10 ways to do this. Therefore, the probability of getting the same number on both is:

P(same number on both) = 10/60 = 1/6

b. To get an odd and an even number, we need to get an odd number on the first toss and an even number on the second toss, or vice versa.

There are 5 odd numbers and 5 even numbers on the 10-sided solid, and 3 even numbers and 3 odd numbers on the 6-sided solid.

Therefore, the probability of getting an odd and an even number, or an even and an odd number, is:

P(odd, even) or P(even, odd) = (5/10) x (3/6) + (5/10) x (3/6) = 1/4

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