The second term of an arithmetic sequence is –39. The rule a, - a-1 +12 can be used to find the next term of the
sequence. What is the explicit rule for the arithmetic sequence?

Answer:

  $104.49

Step-by-step explanation:

The future value of the account is given by the formula ...

  FV = P(1 +r)^t

The interest earned is the difference between that future value and the original amount deposited.

  I = FV -P

__

For the given investment, rate, and time, we find the interest to be ...

  I = $650((1 +0.0125)^12 -1) = $650(0.160755) = $104.49

Mr. Vance's account will have earned $104.49 in interest at the end of 12 years.

Answer:

33

Step-by-step explanation:

area of large triangle = 117

117-(30)-(12*5/2)-(8*6/2)

= 33

The exact area of the shaded region is 33 units²

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object. The space enclosed by the boundary of a plane figure is called its area. The area of a figure is the number of unit squares that cover the surface of a closed figure.

Given is a figure, we need to find the area of the shaded region.

For finding the same, we will first find the area of the big triangle and then find the areas of the small parts in it having shape, triangle and a rectangle,

The area of the big triangle = 1/2 x 18 x 13 = 117 units²

The area of the two small triangles =

1/2 x 6 x 8 = 24 units²

and

1/2 x 12 x 5 = 30 units²

Now, the area of the square = 5 x 6 = 30 units²

The area of the shaded region = 117-(24+30+30) = 33 units²

Hence, the exact area of the shaded region is 33 units²

Learn more about areas, click;

https://brainly.com/question/27683633

#SPJ7

Answer:

c

Step-by-step explanation:

Answer: That's because you have a greater than sign. And if you think about it 2 isn't greater than 5.

In contrast, if you'd had 2<5 (two is less than five) then you would be correct.

I hope this helps!

I think

1.3

2.15cm²

3.5

Sorry!!I don't have time ok

I'll explain later but i wrote the answer 1-3 ok

Answer:

y= 4 - 2/3 x, x= x

Step-by-step explanation: Substitute y=4 -2/3x  [2x=12-3 (4-2/3x)]

Simplify: [2x=2x]

For y = 4- 2/3x

Expressing y in terms of x: y= 4 -2/3x

So the solutions to the system of Equations are: y = 4 - 2/3 x, x = x

Answer:

October

Step-by-step explanation:

because June and September have 30

days

Answer:

A - October

Step-by-step explanation:

⇒ October is the month which has 31 days

Answer:

y-intercept is 2

x- intercept(s) are -4 and 2

Step-by-step explanation:

y-intercept is where the line crosses the y line (vertical)

x- intercept is where the line crosses the x line (horizontal)

Answer:

< 2.

Step-by-step explanation:

< 2 is vertical to < 5.

In the UK we say they are opposite angles, which, to me, makes more sense.

Answer:

what are the models

Step-by-step explanation:

but 4/16 and ¼ are both equivalent fractions for 2/8

Answer:

B

Step-by-step explanation:

Cut vertical but off vertcal axis.

A will produce a square and C and D will produce triangles.

Answer:

39.36cm

Step-by-step explanation:

Since each bead has a radius of 1.64cm and there are 12 beads, all we have to do is multiply amount of beads by their length. Since it is the radius, we have to multiply the length by 2.

So [tex]3.28[/tex] × [tex]12 = 39.36[/tex]cm.

Using an exponential function, it is found that the mass of the radioactive sample at the beginning of the 13th day of the experiment was of 169.1 mg.

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

At the beginning of the first day of the experiment the mass of the substance was 500 grams and mass was decreasing by 8% per day, hence A(0) = 500, r = 0.08, and the equation is given by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

[tex]A(t) = 500(1 - 0.08)^t[/tex]

[tex]A(t) = 500(0.92)^t[/tex]

At the 13th day, the mass is given by:

[tex]A(13) = 500(0.92)^{13} = 169.1[/tex]

More can be learned about exponential functions at https://brainly.com/question/25537936

Answer:

48%

Step-by-step explanation:

If you convert 24/50 to a percentage the answer is 48%

[tex] \frac{24}{50} [/tex]

the equivalent percent.

[tex] \frac{24}{50} [/tex]

[tex] = 0.48[/tex]

[tex]0.48 \times 100\%[/tex]

[tex] = 48\%[/tex]

therefore, the equivalent percent of 24/50 is 48%

each number has its place on the number line so true

Step-by-step explanation:

and 5 is one place to the left in 15.2

Answer:

Radius of sphere =1unit

SurfaceareaVolume=4πr234πr3=34π(1)3×4π(1)21=31

∴V:S=1:3 cm

Step-by-step explanation:

Hope this helps. If any questions, please ask in comments.

Step-by-step explanation:

The base form (or root) of a verb is the form listed in the dictionary. It is the version of the verb without any endings (endings such as -s, -ing, and ed). The base form is the same as the infinitive (e.g., to walk, to paint, to think) but without the to.

Answer:

Class width = 5

Mean = 20.375

Step-by-step explanation:

To find the class widths, find the difference between the upper and lower boundaries.

As there are gaps between the classes, the lower boundaries will be 0.5 less and the upper boundaries will be 0.5 more.

Class width = 10.5 - 5.5 = 5

To find the mean:

The easiest way to do this is to create a table (see attached).

[tex]\textsf{mean}=\dfrac{\sum fx}{\sum f}=\dfrac{815}{40}=20.375[/tex]

[tex]\text{Given that,}\\\\(x_1,y_1) = (4,-2)~~ \text{and slope,}~ m =\dfrac 12\\\\\text{Point - slope form,}\\\\y-y_1 = m(x-x_1)\\\\\implies y -(-2) = \dfrac 12(x-4)\\\\\implies y+2=\dfrac 12(x-4)[/tex]

(4,-2) are points [tex](x_1, y_1)[/tex] respectively and [tex]\frac{1}{2}[/tex] is the slope

Point-slope:

[tex]y-y_1 = m(x-x_1)[/tex]      

Now you have to replace the variables with numbers

[tex]y+2 = \frac{1}{2}(x-4)[/tex]

Thus your equation would be:

[tex]y+2 = \frac{1}{2}(x-4)[/tex]

Hope this helped!

[tex]\sin \angle F~~= \dfrac{\text{Perpendicular}}{\text{Hypotenuse}}\\\\~~~~~~~~~~~~=\dfrac{GE}{EF}\\\\~~~~~~~~~~~~=\dfrac 2 3\\\\\implies \angle F=\sin^{-1} \left(\dfrac 23} \right)=41.8^{\circ}\\\\\text{Hence the measure of angle F is}~ 41.8^{\circ}[/tex]

Answer:

[tex]x=(b-a)^{3}[/tex]

Step-by-step explanation:

Answer:

x = b³ - 3b²a + 3a²b - a³

Step-by-step explanation:

Given:

[tex]\sqrt[3]{x} + a = b[/tex]

To determine the value of "x", we need to isolate it. Start out by subtracting "a" both sides. Then, we can cube both sides to remove the cube root. Finally, we can simplify both sides to obtain the value of x.

Subtract "a" both sides to isolate ∛x:

[tex]\implies \sqrt[3]{x} + a - a = b - a[/tex]

[tex]\implies \sqrt[3]{x} = b - a[/tex]

Cube both sides to remove the cube root on the L.H.S:

[tex]\implies (\sqrt[3]{x})^{3} = (b - a)^{3}[/tex]

[tex]\implies x= (b - a)^{3}[/tex]

Use the formula (a - b)³ = a³ - 3a²b + 3ab² - b³

[tex]\implies x = b^{3} - 3(b)^{2}(a) + 3(b)(a)^{2} - a^{3}[/tex]

[tex]\implies \boxed{x = b^{3} - 3b^{2}a + 3a^{2}b - a^{3}}[/tex]

Thus, the value of x is b³ - 3b²a + 3a²b - a³.

Answer:

45

Step-by-step explanation:

It's 45 because the other ones are different those are miden Range mode and q1 and q3 so q1 is to the left

Answer:

67.5 is the upper quartile

Answer:

63⁰

Step-by-step explanation:

As in cyclic quadrilateral sum of opposite angles us equal to 180⁰

if its diameter is 6, then its radius is half that or 3.

[tex]\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h }{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=4 \end{cases}\implies V=\cfrac{\pi (3)^2(4)}{3}\implies V=12\pi \\\\[-0.35em] ~\dotfill\\\\ \textit{surface area of a cone}\\\\ SA=\pi r\sqrt{r^2+h^2}+\pi r^2\qquad \implies \qquad SA=\pi (3)\sqrt{3^2+4^2}+\pi (3)^2 \\\\\\ 3\pi \sqrt{25}+9\pi \implies 3\pi (5)+9\pi \implies 15\pi +9\pi \implies 24\pi[/tex]

The length of RT from the figure is 8 units

In order to find the measure of RT, we will use the pythagoras theorem. According to the theorem;

hypotenuse² = adjacent² + opposite²

From the given figure;

ST = hyp = 10

RS = adj = 6

Find RT

RT = √10² - 6²

RT = √100 - 36

RT = √64

RT = 8 units

Hence the length of RT from the figure is 8 units

Learn more on pythagoras theorem here: https://brainly.com/question/343682

Answer:

  B, C, D

Step-by-step explanation:

One of the rules of exponents is that an exponent in the numerator is equivalent to the opposite of the same exponent in the denominator. That means ...

  [tex]4^{-3}=\dfrac{1}{4^3}\qquad\text{matches C.}[/tex]

Another rule of exponents is that an exponent represents repeated multiplication. If a factor can be written using an exponent, the exponents are effectively multiplied.

  [tex]4^{-3}=(2^2)^{-3}=2^{2(-3)}=2^{-6}\qquad\text{matches B.}[/tex]

Of course, that repeated multiplication can be shown explicitly:

  [tex]\dfrac{1}{4^3}=\dfrac{1}{4}\cdot\dfrac{1}{4}\cdot\dfrac{1}{4}\qquad\text{matches D.}[/tex]

The equivalent expressions to 4^(-3) are B, C, D.

_____

Additional comment

The expression of G evaluates to ...

  [tex]\dfrac{8^{-1}}{2^2}=(2^3)^{-1}\cdot2^{-2}=2^{3(-1)-2}=2^{-5}\qquad\text{not equivalent}[/tex]

Answer:

∠ ABC = 60°

Step-by-step explanation:

the measure of an inscribed angle is hal the measure of its intercepted arc.

∠ ABC = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × 120° = 60°

Answer:

Step-by-step explanation:

The measure of the inscribed angle is half the measure of intercepted angle.

∠ABC  [tex]= \dfrac{1}{2} * 120\\[/tex]

            = 60°

Mr. Red's salary is an illustration of an arithmetic sequence

The explicit rule of Mr. Red's salary is an = 500n + 29500

Mr. Red's salary is an arithmetic sequence with the following parameters:

First term, a1 = 30000

Common difference, d = 500

The explicit rule is calculated as:

an = a1 + (n - 1) * d

This gives

an = 30000 + (n - 1) * 500

Evaluate the product

an = 30000 - 500 + 500n

This gives

an = 29500 + 500n

Rewrite as:

an = 500n + 29500

Hence, the explicit rule of Mr. Red's salary is an = 500n + 29500

Read more about arithmetic sequence at:

https://brainly.com/question/6561461

Answer:

McKinley, Logan, Pico de Orizaba

Step-by-step explanation: