im not sure I'm very very bad at math ​

The explicit formula for the given arithmetic sequence is aₙ = 23 + (n - 1)11. Here the first term is a1 = 23 and the common difference is d = 11.

The explicit formula for an arithmetic sequence gives the nth term of the sequence. I.e.,

aₙ = a1 + (n - 1)d

Here a1 is the first term; d is a common difference, it is calculated by

d = aₙ₊₁ - aₙ = aₙ₋₁ - aₙ

The given sequence is 23, 34, 45, 56,...

Here the first term a1 = 23

So, the common difference between the terms in the sequence is

d = 34 - 23 = 11

Then, the explicit formula for the given sequence is

aₙ = a1 + (n - 1)d

⇒ aₙ = 23 + (n - 1)11

Therefore, the nth term of the explicit formula for the given arithmetic sequence is aₙ = 23 + (n - 1)11.

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If the initial population of a town is 100,231 and it grows with a doubling time of 98 years, the population after 31 years is  124803

The initial population of the town = 100231 people

The doubling time = 98 years

We have to find the population in 31 year

The exponential function will be

f(t) = fo(2)^(t/98)

f(t) is the population of the town in t years

fo is the population of the town in t = 0 years

t is the number of years

2 because it doubling time

The value of t = 31 years

Substitute the values in the function

f(31) = 100231×(2)^(31/98)

Do the arithmetic operations

f(31) = 100231 × 1.245

f(31) = 124803.23

f(31) ≈ 124803

Therefore, the population after 31 years is 124803

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If Lillian has a rectangular garden with an area of 10x² +33x – 7 square feet.The expressions that would represent the length and width of the garden will be (5x-1)(2x+7)

It is defined as the combination of constants and variables with mathematical operators.

It is given that, Lillian has a rectangular garden with an area of 10x² +33x – 7 square feet.

We have to find the expression representing the length and width of the garden.

[tex]=10x^2+33x-7 \\\\ =\left(10x^2-2x\right)+\left(35x-7\right) \\\\ =2x\left(5x-1\right)+7\left(5x-1\right)\\\\ =\left(5x-1\right)\left(2x+7\right)[/tex]

The area of the rectangular garden is,

A = L × B

Comparing the expression with the obtained expression we get the expressions that would represent the length and width of the garden as,

A= (5x-1)(2x+7)

Thus, if Lillian has a rectangular garden with an area of 10x² +33x – 7 square feet. The expressions that would represent the length and width of the garden will be (5x-1)(2x+7)

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Step-by-step explanation:

The sum of two consecutive integers if n is the first integer.

consecutive means immediately after, so we have:

n

n + 1

The sum is written as:

n + n + 1

Grouping like terms, we have:

(n + n) + 1

2n + 1

The perimeter of the triangle is 24 units.

What is a triangle?

Triangle is bounded area by three sides. If length of all sides is not equal, then the triangle is known as an obtuse triangle.

The vertices of the triangle are A(-4,4), B(4,4), and C(4,-2)

The formula distance between two points (x₁, y₁) and (x₂, y₂) is √[(x₂ - x₁)² + (y₂ - y₁)²]

The length of line segment AB is √[(4 - (-4))² + (4 - 4)²] = √8² = 8 units

The length of line segment BC is √[(4 - 4)² + (-2 - 4)²] = √6² = 6 units

The length of line segment AC is √[(4 - (-4))² + (-2 - 4)²] = √[8² + 6²] = √100  = 10 units.

The perimeter of a triangle is sum of all sides of the triangle.

The perimeter of the triangle is

AB + BC + AC

= 8 + 6 + 10

= 24 units

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Answer:

yes seems like you understand

Answer:

yes

Step-by-step explanation:

yes

The required total cost of packaging each comforter is $89.20.

Activity estimated indirect activity costs allocation base estimated quantity of allocation base,

materials handling $ 12,600 number of parts 4,200 parts

Cost per part = $ 12,600/4,200 =  $3

assembly$ 55,440 number of parts 4,200 parts,

Cost per part = $ 55,440/4,200 =  $13.20

packaging $10,920 number of comforters 1,050 comforters each comforter consists of 4 parts

Cost per part =$10,920 /1,050 = $10.40

Then, For all cost of 4 parts,

Materials handling = ($3 x 4) = $12

Assembly = ($13.20 x 4) = $52.80

Packaging = ($10.40 x 1) = $10.40

Total overhead cost = $75.20

And Direct materials cost = $14.00

So, total manufacturing cost =  $75.20 + $14.00 =  $89.20

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Answer:

25

solution

50=3x

or, 50/3=x

or, x=16.66

hence,imran father will 16 years

Answer:

38

Step-by-step explanation:

76% of 50 is 38

Answer: 38 games

Step-by-step explanation: The answer is actually pretty simple to get to. You just need to find 76% of 50. Let x be the amount of games they have won this year. The equation is: x= 0.76*50. Why it is 0.76 instead of 76 is because percent is always out of 100 that is why the max is 100%. So 0.76 is the same as 76/100 which is also 76%. Back to the equation: x = 0.76*50. If you solve the equation which is just 0.76*50, you would get 38. 38 is how many games they won in the season.

Answer: taxes

Step-by-step explanation:

Answer:

option a is correct i.e 6.25 = 25/4

Step-by-step explanation:

= 6.25

= 625 / 100

both being divisible by 5

we get

= 25/4

Answer:

a.6x+3=27

b.x=4

c. Morgan has 6 packs of erasers, each pack has 4 erasers, and after Avery gives her three more erasers, she has a total of 27.

Step-by-step explanation:

a.6x+3=27

6x=24

b.x=4

c. Morgan has 6 packs of erasers, each pack has 4 erasers, and after Avery gives her three more erasers, she has a total of 27.

If the store buys 200 shirts for $2400 and sells for $20 each then the percent markup is = 66.67%   .

In the question ,

it is given that ,

the number of shirts that departmental store buys is = 200 shirts .

the cost price for 200 shirts is = 2400

So , the cost for 1 shirts is = 2400/200 = $12 ,

the selling price for 1 shirt is = $20 ,

the percent markup can be calculated using the formula ,

percent markup  = (selling price - cost price)/(cost price)  × 100 ,

= (20 - 12)/12 × 100

= 8/12 × 100

= 800/12

= 66.66666

≈ 66.67 % .

Therefore , percent markup is 66.67% .

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The algebraic expression for the increase in this month's finance charge due to higher APR is  0.001x  .

In the question ,

it is given that ,

Kristin's credit rating was lowered ,

and the credit card company raised the APR from 14% to 15.2% ,

the average daily balance in this month is = $x .

the finance charge for 14% APR is = x*(14%/12)

= 0.01167x

the finance charge for 15.2% APR is = x*(15.2%/12)

= 0.01267x

So , the increase in finance charge is = 0.01267x - 0.01167x  

= 0.001x

Therefore , the algebraic expression is 0.001x  .

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Answer:

4 more years

Step-by-step explanation:

you were born in 2008, you should be 14 now or soon, by the end of the year. So 4 in 4 years you would be 18.

Answer: Simple, you are 14 right? So 4 more years

Step-by-step explanation:

Add 14+4 and you'll get 18.

Answer:

D

Step-by-step explanation:

the numerator of the exponent is the exponent of x

the denominator is the the index of the root

Step-by-step explanation:

you do understand that the diameter of a circle is simply 2 times the radius, yes ?

imagine a circle and you draw a radius line (from the center of the circle to the circle arc).

and now imagine to draw another radius line, just in the opposite direction.

when you look at the result, you have 1 straight line going from the circle arc to the circle arc and passing through the center of the circle. that is what a diameter is.

how long is it ? well, we drew 2 radius lines to create this line. so, it is 2×radius long.

so, the diameter of the seal is

2×2 = 4 yards

Answer:

The area of the circle is 30.25π cm^2.

Step-by-step explanation:

The circumference of a circle is equal to the diameter of the circle times π. Therefore, if the circumference of the circle is 11π cm, the diameter must be 11 cm.

The formula for the area of a circle is A = πr^2, where r is the radius of the circle. The radius of the circle is half the diameter, so the radius is (1/2) * 11 cm = 5.5 cm.

Substituting this value for r into the formula for the area of a circle, we get:

A = π * (5.5 cm)^2

= π * 30.25 cm^2

= 30.25π cm^2

Therefore, the area of the circle is 30.25π cm^2.

Answer: significant

Step-by-step explanation:

An equation in slope-intercept form of the line that is parallel to the one given and passes through the given point is  y=7x+5.

x - axis interception points of [tex]$7 x+5: \quad\left(-\frac{5}{7}, 0\right)$[/tex]

y - axis interception point of [tex]$7 x+5: \quad(0,5)$[/tex]

X-Intercepts: [tex]$\left(-\frac{5}{7}, 0\right)$[/tex], Y Intercepts: (0,5)

Slope of [tex]$7 x+5: \quad m=7$[/tex]

Steps

7x+5

What is line equation?

For a line equation for the form of y=m x+b, the slope is m. m=7

The first step to answering this question is to find the slope of the first line. To do that, we need to put it in slope-intercept form.

y=7x+5  => y=7x+5

So the slope of this line is 7. Perpendicular lines have a negative reciprocal slope, so the slope of the perpendicular line is 7. Using that and the point (1,3) we can make an equation for the line in point-slope form:  We can then convert this into slope intercept form.

=> y=7x+5

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Answer:

Yes

Step-by-step explanation:

Every input has only one output.

Probability that exactly 2 will end up being replaced under warranty is 0.14781.

The problem states that 20% are likely to need warranty service, and of the 20% that need repair, 40% are likely to need to be replaced. This implies that 8% of the total are likely to need warranty service and be replaced (.20)(.40)=0.08

Therefore, p=0.08

n=10

and x=2 then we have to put the values in the formula,

We now plug all of this into formula , then we get

b(x;n,p) = [tex]\left \{ {{n} \atop {x}} \right. }px(1-p) to the power n-x\\[/tex]

and we get ,

So,

b(2;10,0.08) = (10 2)(0.08)²(1-0.08) to the power 10-2

=45(0.0064)(0.92)to the power 8≈0.14781

So, the probability is 0.14781

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Answer:

51/3

Step-by-step explanation:

Angles opposite congruent sides of a triangle are congruent.

[tex]x+17=4x-34 \\ \\ 17=3x-34 \\ \\ 51=3x \\ \\ x=51/3[/tex]

Assuming timmy completes all chores, the number of dollars timmy will have 7 weeks after his birthday is 85 dollars.

In mathematics, an equation is a claim that two expressions are equivalent. It is a mathematical expression that employs the equals symbol, "=", to indicate that two quantities have values that are equal. Problems in algebra, geometry, calculus, and other branches of mathematics are frequently solved using equations. In algebra, equations are frequently used to depict the connection between variables and constants, as well as to discover the value of an unknown variable. For example, the equation x + 2 = 5 may be utilised to get the value of x, which is 3. Equations can be linear, quadratic, or higher-degree, and they can involve multiple variables.

How to solve?

Let x be the number of weeks after Timmy's birthday.

The total number of dollars Timmy will have after x weeks is 50 + 5x.

Therefore, Timmy will have 50 + 5(7) =85 dollars after 7 weeks

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Step-by-step explanation:

4x is the equivalent expression if thats an option

∠c = 100° (Since ∠c and ∠100° are opposite angles)

∠c - ∠b = 70° (∠b =30° since ∠b and ∠30° make 60°)

∠a = 30° (Since ∠a and ∠30° vertically opposite angles)

What are opposite angles?

Angles, where two lines cross that are directly opposite one another, are known as opposite angles. The vertex, where the lines come together to produce the angle, is the location of the junction. Vertical angles are another name for opposite angles. Congruent angles are those that have opposite angles that are equal or have the same measurement. For instance, A and C are referred to be opposite angles in the parallelogram ABCD. B and D are the opposing angles in a similar way.

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Max profit would be 54 type 1 and 88 type 2

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

given:

Let x be the amt of type 1 and y be the amt of type 2.

Then, Storage constraints

x ≤ 100

y ≤ 150

and, Mixing constraint:

62x + 44y ≤ 7220

44y = 7220-62x

y = 164 - 1.4x

and, Packaging constraint:

78x + 46y ≤ 8260

46y = 8260 - 78x

y = 180 - 1.7 x

Then, The objective functions for each corner of the region

solve:

62x + 44y = 7220

78x + 46y = 8260

So, x=54,y=88

Hence, Max profit would be 54 type 1 and 88 type 2

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When we apply coupon before promotional discount, we have to pay $396.

When we apply promotional discount first and then coupon, we have to pay $392

Given,

The coupon amount = $40

Promotional discount = 10%

The rent per hour = $100 + 20% gratuity

The rent for 4 hours including gratuity = (100 × 4) + (100 × 4 + 10/100) = $480

We have to find the amount for the situations given below;

a) The coupon is applied before the promotional discount;

Here,

Coupon deduction;

480 - 40 = $440

Promotional discount deduction;

10% of 440 = 44

Then,

440 - 44 = $396

We have to pay $396.

b) The promotional discount is applied before coupon;

Here,

Promotional discount deduction;

10% of 480 = 48

Then,

480 - 48 = $432

Coupon deduction;

432 - 40 = $392

We have to pay $392.

Therefore,

When we apply coupon first and then promotional discount, we have to pay $396

When we apply promotional  discount before coupon, we have to pay $392.

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The vertex and the range of y = |x - 5| + 4 are (b) (5, 4); 4 ≤ y < ∞

The equation is given as

y = |x - 5| + 4

The above equation is an absolute value function

An absolute value function represented as

y = a|x - h| + k

Where

Vertex = (h, k)

This means that the vertex is

Vertex = (5, 4)

Remove the x value

y = 4

Because the leading coefficient is positive, then the vertex is a minimum

i.e.

y ≥ 4

So, the range is 4 ≤ y < ∞

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Answer: I think C

Step-by-step explanation: