Find the 53rd term of the arithmetic sequence
−
12
,
−
1
,
10
,
.
.
.
−12,−1,10,...

Answer: 1. [tex]3.72\times10^5[/tex]

2. [tex]6.9\times10^{-1}[/tex]

3. [tex]5.30196\times10^{3}[/tex]

Step-by-step explanation:

We use Standard form to expresss a very large or very small numberc in the product of a decimal form of number [generally between 1 and 10] and powers of ten.

For example : Thirty seven thousand four hundred thirty can be written as 37,430 or it can be written as [tex]3.743\times10^4[/tex].

Let's write the given numbers as

1. Three hundred seventy-two thousands

= 372,000

[tex]=3.72\times10^5[/tex]

2. six nine hundredths

[tex]0.69=\dfrac{69}{100}=6.9\times10^{-1}[/tex]

3. Five thousand, three hundred one and ninety six thousandths

= 5,301. 96

[tex]= 5.30196\times10^{3}[/tex]

Answer:

The answers to the blanks are:

The “?” in the table represents the number 38 because the average rate of change on every interval of the function is 1/3.

Step-by-step explanation:

How you can see in the table, after the first values [x=-2, f(x)=5], each time that x add 1, f(x) add 3, (that is the reason why the average rate is 1/3), how you can see below:

2. x = 2 (were added 4 to the first number -2)

   f(x) = 17 (were added 12 to the first number 5)

3. x = 5 (were added 3 to the second number 2)

   f(x) = 26 (were added 9 to the second number 17)

4. x = 9 (were added 4 to the third number 5)

How in the last column were added 4, you must multiply this value by 3 (remember the average rate), so 4*3 = 12, now:

  f(x) = 38 (were added 12 to the third number 26)

Answer:

180-60 = 120 if triangle is not equilateral it cannot be isosceles then depending where the angles are they will show  60,60,60 if equilateral

For isosceles it would need to be 58 61 61 as 60, 60,60 cannot be isosceles.

Vectors 60 if right angled triangle = 90-60 = 30

So angles = 30 and 90 degree or just 120 if angle theta is a vector as explained below.

Step-by-step explanation:

Statement: If two vectors are represented by the sides of a triangle both in magnitude and direction taken in order, the resultant sum of the vectors is given by the closing third side of the triangle taken in the reverse order both in the magnitude and direction

Answer:

When using the given information, the diameter of the circle is going to be 28 mL.

Step-by-step explanation:

First, we need to know the formula for finding the area of a circle.

[tex]Area=r^2\pi[/tex]

Now, we need to rearrange the formula so we can find the radius.

[tex]Radius=\sqrt{\frac{A}{\pi} }[/tex]

Next, we plug in the given area into the equation.

[tex]Radius=\sqrt{\frac{615}{\pi}}[/tex]

[tex]Radius=\sqrt{196}[/tex]

[tex]Radius=14[/tex]

Now that we have the radius, we can find the diameter. The radius is half the length of the diameter. So, in order to find the diameter, we have to multiply the radius by 2.

[tex]14 * 2=28[/tex]

So, the diameter of the circle is 28 mL

Answer:

Here is the graph:

Hope it helps......!

Answer:

She will earn $148.50 in overtime this week.

Step-by-step explanation:

First, you multiply 11 by 1.5. That gets you 16.5. So, for every overtime hour she works, she gets $16.50. Since she works 9 overtime hours, you multiply 16.5 by 9 to 148.5. So, she earns $148.50 for overtime this week.

Answer:

25x +3

Step-by-step explanation:

Answer:

x^3 + y^3

Step-by-step explanation:

Hope this helps.

Answer:

707.106781187

Step-by-step explanation:

707.106781187 times 707.106781187 equals 500000

Answer:

70.71 approximately.

Step-by-step explanation:

√5000

Solve the square root, use a calculator.

70.710678118654752440084436210484903928483593768847403658833986899536623923105351942519376716382078636750692311545614851246241802792536860632206074854996791570661133296375279637789997525057639103028574

Answer:

(-4,-8)

Step-by-step explanation:

Im pretty sure its 2 but not exactly

Answer:

Step-by-step explanation:

-x - 5y = -29 + 4y - y + 5

Add x to both sides

-x - 5y + x = -29 + 4y - y + 5 + x

-5y = 4y - y  -29 +5 + x  {Add the like terms}

-5y = 3y - 24 + x  {subtract 3y form both sides}

-5y - 8y = 3y - 24 + x - 3y

-13y = x - 24

Divide both sides by (-13)

y = (x-24)/-13

y = -(x-24)/13

Answer:

D

Step-by-step explanation:

The key point here is to remember that 6(-3)= -18.

Answer:

Step-by-step explanation:

Carter got twice number of candies in comparison to Sullivan or Sullivan got half number of candies compare to Carter.

" Amount is defined as the representation of total quantity of given object."

According to the question,

Number of candies Sullivan got = s

Number of candies Carter got = 2s

 Compare the given amount of data we get,

Number of candies Carter got = 2(Number of candies Sullivan got )

This shows Carter got twice number of candies comparison to Sullivan.

or

Number of candies Sullivan got = [tex]\frac{1}{2}[/tex] (Number of candies Carter got)

Sullivan got half number of candies compare to Carter.

Hence, we conclude Carter got twice number of candies in comparison to Sullivan or Sullivan got half number of candies compare to Carter.

Learn more about amount here

https://brainly.com/question/27337635

#SPJ2

Answer:

Which questions are statistical questions?

what is the number of students what is the height of each in my class?

how many servings of fruit did eat each day this month?

what is my height?

what is the highest temprature

of each month this year?

how many students from each school in this city love football?

Step-by-step explanation:

Need to include numerical values

Answer:

How many servings of fruit did I eat each day this month?

What is the height of each student in my class?

What was the highest temperature of each month of 2020?

How many students from each school in this county love basketball?

Step-by-step explanation:

Answer:

c. simplify (5 - 3)

Step-by-step explanation:

PEMDAS

P for parenthesis

Answer:

B

Step-by-step explanation:

The formulas we need are below:

C=dπ

A=r²π

d=2r

Plug in the values.

d=12

C=12π

A=36π

C=12(3.14)=37.68

A=36(3.14)=113.04

B matches

Answer:

b=15

Step-by-step explanation:

360-90=270

270+60=330

360-330=30/2=15

Answer:

The measure of angle b is 15 degrees,

Step-by-step explanation:

Both triangles are isosceles. The inside one is also a right triangle. Since the big triangle is isosceles and the two angles add up to 120 degrees, they also have to be equal, meaning ∠P≅∠R=60 degrees. The inside triangle is also isosceles, meaning that m∠a=60°-b, which 60°-b representing the measure of the last angle in the smaller triangle. Since ∠a and the third angle are congruent, they each have to equal 45°. 60°-45°=15°. The measure of ∠b=15°.

Answer:

s = -3

Step-by-step explanation:

13s - 8s - -19 = 4

Combine like terms

5s +19 = 4

Subtract 19 from each side

5s +19-19 = 4-19

5s = -15

Divide by 5

5s/5 = -15/5

s = -3

Answer:

-3

Step-by-step explanation:

1) combine like terms:

5s--19=4

5s+19=4

subtract 19 from both sides:

5s=-15

s=-3

Hope this helps!

Answer:

[tex] \boxed{A. \: 1} [/tex]

Step-by-step explanation:

[tex] = > x + \frac{1}{5} (x - 1) = 1 \\ \\ = > x + ( \frac{1}{5} \times x) - (\frac{1}{5} \times 1) = 1 \\ \\ = > x + \frac{x}{5} - \frac{1}{5} = 1 \\ \\ = >( x \times \frac{5}{5} ) + \frac{x}{5} - \frac{1}{5} = 1 \\ \\ = > \frac{5x}{5} + \frac{x}{5} = 1 + \frac{1}{5} \\ \\ = > \frac{5x + x}{5} = (1 \times \frac{5}{5} ) + \frac{1}{5} \\ \\ = > \frac{6x}{5} = \frac{5}{5} + \frac{1}{5} \\ \\ = > \frac{6x}{ \cancel{5}} = \frac{5 + 1}{ \cancel{5}} \\ \\ = > 6x = 6 \\ \\ = > x = \frac{ \cancel{6}}{ \cancel{6}} \\ \\ = > x = 1[/tex]

Answer:

[tex]y - 308x = 0 \\ y - 122x = 2338 \\ y - 308x = 0ndy - 122x = 2338 \\ y - y - 308x + 122x = - 2338 \\ - 308x + 122x = - 2338 \\ - 186x = - 2338 \\ x = \frac{1169}{93} \\ y = 122 \times ( \frac{1169}{93} ) = 2338 \\ y - ( \frac{360052}{93} ) \\ [/tex]

[tex]y = \frac{360052}{93} \\ x = \frac{1196}{93} [/tex]

Answer:

D

Step-by-step explanation:

[tex]KQ = PN[/tex]

We can't state that because we don't know if ∠NPK is 90º

Triangle KPN is similar to triangle KQN

It is the same case as the alternative a, we can't say the triangles are similar because we don't the angles for KPN. We know that LN is perpendicular to NP, but we don't if NP is perpendicular to PK, ∠NPK might be 89,9º, that is almost 90º.

KP = 0.5 LN

Once the four sides of the square are equal, LQ = QN. But from the picture we can only state that KP length is approximately the length of NQ (or 0.5 LN)

PN || KM

That's the correct answer! Once ∠QNP is 90º, PN is perpendicular to KM.

Answer:

B, C and F

Step-by-step explanation:

Given

f(x) = [tex]\frac{7}{2x(x+3)(x-9)}[/tex]

The denominator of f(x) cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the values that x cannot be and if the numerator is non zero for these values then they are vertical asymptotes.

solve

2x(x + 3)(x - 9) = 0

Equate each factor to zero and solve for x

2x = 0 ⇒ x = 0 → C

x + 3 = 0 ⇒ x = - 3 → B

x - 9 = 0 ⇒ x = 9 → F

Answer: 9, 0, -3

Step-by-step explanation:

Answer: a. 43.443 km

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

27 miles to kilometers

Since 1 mile = 1.609344 km

We simply have to multiply the number of miles by 1.609344.

Mathematically speaking:

27 x 1.609344 = 43.4522 km

The closest result is option a. 43.443 km.

Feel free to ask for more if needed or if you did not understand something.

Answer:

x = 5, y = 5

Step-by-step explanation:

[tex] {5}^{x - 3} \times {3}^{2y - 8} = 225 \\ {5}^{x - 3} \times {3}^{2y - 8} = 25 \times 9 \\ {5}^{x - 3} \times {3}^{2y - 8} = {5}^{2} \times {3}^{2} \\ equating \: like \: power \: terms \: from \: both \:\\ sides \\ {5}^{x - 3} = {5}^{2} \\ x - 3 = 2 (Bases\: are\: equal, \: so\: exponents \: \\will\: also\: be\: equal) \\ x = 3 + 2

\\ \huge \red{ \boxed{ x = 5}} \\ \\

{3}^{2y - 8} = {3}^{2} \\ 2y - 8 = 2(Bases\: are\: equal, \: so\: exponents \: \\will\: also\: be\: equal) \\ 2y = 2 + 8 \\ 2y = 10 \\ y = \frac{10}{2} \\ \huge \purple{ \boxed{y = 5}}[/tex]

Answer:

Step-by-step explanation:

the answer is 1,3,6,8,1.

Mark me brainlest.

Answer: the numbers 65-69 is 1 the numbers 70-74 is 3 the numbers 75-79  is 6 the numbers 80-84 is 8 and the numbers 85-89 is 0

Step-by-step explanation:

Answer:

The answer is 1,230

Step-by-step explanation:

Answer:

The answer to this question is C. I just took the test and i would guarantee it's correct. Hope for brainliest?

Step-by-step explanation:

The correct answer is Option (C) [tex]\frac{-1-i\sqrt{31} }4}[/tex]

The problem can be solved by following steps

x =[tex]\frac{ -b ± \sqrt{b^2-4ac} }{2a}[/tex]

x = [tex]\frac{ -1 ± \sqrt{1^2-4(2)(4)} }{2(2)} \\\frac{ -1 ± \sqrt{1-32} }{4} \\= \frac{ -1 ± \sqrt{-31}}{4} \\\\= \frac{ -1 ± \sqrt{-31i^2}}{4} \\\\\\= \frac{ -1 ± i\sqrt{-31}}{4}\\[/tex]

Hence Option (C) is Correct

Learn more about Discriminant here

https://brainly.com/question/2507588

#SPJ2

Answer:

1) B

2) A

Step-by-step explanation:

1) When a triangle is similar it means that all the angle measures are the same.

So for triangle UVT the angle measures are:

U=29.95, V=56.25, T=93.82

For triangle RSQ the angle measures are:

R=29.95, S=56.25, Q=93.82

So the answer is that they are similar (triangle UTV ~triangle RQS)

2) For this problem each sided is proportional because of the parallel lines. (It's been a while since I've done this kind of math but I'll give it a go)

30/25=x/35

25x=30(35)

25x=1050

x=42

Answer:

I believe is A is the right answer

Answer:

It's False

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Given

6p³ - 12p² + 9p ← factor out 3p from each term

= 3p(2p² - 4p + 3) → B

Answer:

y= 35+0.15x

Step-by-step explanation:

y= $35+ 15% of x

y= 35+0.15x is the correct one

option 3