\((30 - 3) \div 3\)a: 10B: 29c: 11d: 9

The thirteenth term of this arithmetic progression a + b, 2a, 3a − b, ..... is a₁₃ = 13a - 11b.

Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:

aₙ =  a₁ + (n - 1)d

Where:

Next, we would determine the common difference as follows.

Common difference, d = a₂ - a₁

Common difference, d = 2a - (a + b) = 2a - a - b

Common difference, d = a - b

Substituting the given parameters into the formula, the 13th term of this arithmetic sequence is given by;

a₁₃ = (a + b) + (13 - 1)(a - b)

a₁₃ = (a + b) + (12)(a - b)

a₁₃ = a + b + 12a - 12b

a₁₃ = 13a - 11b.

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Answer:

Brody will have to work 30 hours.

Step-by-step explanation:

First you have to divide 396.10 by 17 to get $23.30 which is how much he earns per hour. Then you divide 699.0 by 23.30 to get 30 hours.

Answer:

9

Step-by-step explanation:

→ Multiply by every value to see

735 - ( 24.99 × 9 ) = 510.09

∴ He has to add money in the 9th month otherwise he will be charged

Answer:

9

Step-by-step explanation:

24.99 x 9 = 224.91

735 - 224.91 = 510.09

Answer:

97.73%

Explanation:

SAT scores are normally distributed with:

• Mean = 500

• Standard deviation = 100

We want to find out what percentage of the students who took SAT scored less than Jenna if Jenna earns 700 points.

In order to do this, we first find the z-score using the formula below:

For a raw score, X = 700:

Therefore, Jenna did better than 97.73% of students who took the SAT.

Answer:

I think this because ###################################################################################################################################################################################################################################################################################################################################################################################################################################################

Step-by-step explanation:

To achieve a comparable rate of return, Hank would need to earn an interest rate of approximately 0.86% per month, compounded monthly on his ordinary annuity.

To find the interest rate, compounded monthly, that Hank would need to earn on an ordinary annuity for a comparable rate of return, we can use the present value formula for an ordinary annuity.

First, let's calculate the present value of Hank's payments. He made payments of $219 per month for 30 years, so the total payments amount to $219 * 12 * 30 = $78840.

Now, we need to find the interest rate that would make this present value equal to the selling price of the property, which is $195,258.

Using the formula for the present value of an ordinary annuity, we have:

PV = P * (1 - (1+r)\(^{(-n)})\)/r,
where PV is the present value, P is the payment per period, r is the interest rate per period, and n is the number of periods.

Plugging in the values we have, we get:
$78840 = $219 * (1 - (1+r)\({(-360)}\))/r.

Solving this equation for r, we find that Hank would need to earn an interest rate of approximately 0.86% per month, compounded monthly, in order to have a comparable rate of return.

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A conversion factor is a mathematical formula that allows for the equal exchange of feet for chains. A conversion factor is a number that is used to multiply or divide one set of units by another set of units.

         To obtain an identical value, a conversion must be performed using the correct conversion factor. When you order, issue, or transfer goods and services, you use a unit of measurement to do so.

         A conversion factor is a numerical number or ratio that connects one unit of measurement to another. A conversion factor is a rate of one. The unit analysis method is used to determine which conversion factor will produce the correct units.

        You can use a conversion factor to change the units of a measured quantity without changing the value. A conversion factor is an expression that represents the relationship between the units. Hence, these both are different to each other.

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Since the whole numbers part are equal 7, we have to compare the fraction al parts:

2/5 and 3/7

Express them in decimal form to compare:

2/5 = 0.4

3/7= 0.42

0.4 is less than 0.42, so:

7 2/5 is less than 7 3/7

Answer:

\(\Large \boxed{\frac{5}{4} }\)

Step-by-step explanation:

The slope - intercept form of a line is written in the form :

\(\sf y = mx+b \\ \\ \\ m=slope \\ \\ b=y-intercept\)

The slope of the line is 5/4.

Answer:

(5w+ 6u ) + (-4w +3u)

Step-by-step explanation:

(5w+ 6u ) + (-4w +3u)

this can be done by multiplying all in the second parentheses by -1.

The types of rotation are:

In this case:

 ⇒ it is reflection since the graph is inverted and each point is the same distance from the line of reflection

Answer: reflection

Hope that helps!

Solutions

Which of the binomials below is a factor of this trinomial?

Factorise the trinomial

Therefore the correct answer is:

Option C

Step-by-step explanation:

Step 1: Multiply to get the lowest common denominator

Step 2: reciprocate thw second fraction(flipping the values)

Step 3: Cancel out values.

Answer: 0.8333

Step-by-step explanation:

Correct option is A, the iS point-slope form of the line is y+ 8 = -4(x-2). A straight line's equation can be written as both a point slope form and a slope intercept form.

A line equation written using a single line point and the slope of the line is the simplest definition of the term "point-slope form." The slope is expressed in point form as the ratio of the change in y values to the change in x values, also known as the rise over run (x, y).

The point slope form is useful when there is a slope and one or more points are present. Standard form is often easier to employ while doing algebraic computations. Depending on our needs or our level of expertise, we can alter the form of an equation. Both the point slope form and the slope intercept form can be used to express the equation for a straight line. The point slope form highlights any point on the line as well as the slope. The slope and y-intercept of a line are only shown in slope intercept form.

Given,

the slope of line = - 4 and point = (2,-8)

The equation of line = y - yo = m (x - xo)

where m = slope and x,y are coordinates

y + 8 = - 4 (x - 2)

y + 8 = - 4x + 8

y = - 4x

Therefore, the correct answer is option A, y+ 8 = -4(x-2)

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Answer:

15 cups of sugar

Step-by-step explanation:

The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42

A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.

The six o'clock position on the Ferris wheel is level with the loading platform.

The wheel completes 1 full revolution in 2 minutes.

We have to find how many minutes of the ride are spent higher than 26 meters above the ground.

So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters

So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)

Also, the height of a person at the lowest point = 4 - 15 = -11 meters

Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.

So, the total distance travelled will be = 19 + 11 = 30 meters.

Also, we are given that the wheel completes 1 full revolution in 2 minutes.

We need to calculate the time spent higher than 26 meters above the ground.

So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.

This angle can be calculated as follows:

Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees

Angle = 30 / (pi * 30) * 360 degrees

Angle = 360 degrees / pi

= 114.59 degrees

So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.

Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.

This can be calculated as follows:

Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken

Time = (180 - 114.59) / 360 * 2 minutes

Time = 0.42 minutes

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Answer:

Solution given:

AB parallel BH parallel CH

1.

In triangle ∆AFD ,∆BGD ,∆CHD

<AFD=<BGD=<CHD

[being corresponding angle]

<DAF=<DBG=<DCH

[being corresponding angle]

<D is common for all.

So

∆AFD ~∆BGD ~∆CHD

[By A .A .A. axiom]

\(~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{8}~,~\stackrel{y_1}{7})\qquad B(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x +8}{2}~~~ ,~~~ \cfrac{ y +7}{2} \right) ~~ = ~~\stackrel{\textit{\LARGE M}}{(1~~,~~4)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ x +8}{2}=1\implies x+8=2\implies \boxed{x=-6} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ y +7}{2}=4\implies y+7=8\implies \boxed{y=1}\)

Answer:

95 degrees

Step-by-step explanation:

The was it has been rotated

Step-by-step explanation:

= 1.15 / 10⁵

115/10000000

0.0000115

is the correct answer

When you have a square pyramid, the plane section that will produce a trapezoid is B. A cut parallel to the vertical axis, directly through the vertical axis

It is defined in geometry as a shape with a square base with equal side lengths and all of the square's joints at the top that are perpendicular to the center of the square.

Geometry, as we know, is the branch of mathematics concerned with the size, shape, and orientation of two-dimensional figures. A trapezoid, also known as a trapezium, is a closed, flat shape with four straight sides and one pair of parallel sides.

It's parallel sides are known as the bases, and its non-parallel sides are known as the legs. A trapezoid can have parallel legs as well.

In this case, the cut parallel to the vertical axis, directly through the vertical axis will produce the trapezoid.

In conclusion, the correct option is B.

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Answer:

y = 5

Step-by-step explanation:

\(14y-7y=35\\7y=35\\y=5\)

14 minus 7 is 7

7Y is equal to 35

divide both sides by 7 is equal to 5

The area of the rug is 28.28ft^2

Data given

To solve this problem, we have to use the formula of area of a circle which is given as

\(A = \pi r^2\)

Substitute the values and solve for the area

\(A = \pi r^2\\A = 3.142 * 3^2\\A = 28.28ft^2\)

The closest area of the rug is 28.28ft^2

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Answer:

135

Step-by-step explanation:

15/100 × 900 = 15 × 9 = 135

Answer:

135

Step-by-step explanation:

The True statements are:

Each element of X is given exactly one element of Y by the function from a set X to a set Y. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

For D (x) = 2 x:

- x is the independent variable,

- D ( 6 ) = 2 · 6 = 12.

10 = 2 · 5,     12 = 2 · 9,     - 4 = 2 · ( - 2 ).

True statements are:

A ) D ( x ) is a function.

D ) D ( x ) is a direct variation.

E ) D ( x ) is a rule for the set of points ( 5, 10), ( 6, 12 ) and ( -2, - 4 ).

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