The 3rd and 6th term of a
linear sequence are 16 and
34 respectively. Find the
sum of the first six terms.​

Answer:

A = 2/15 gallons per bottle

Step-by-step explanation:

Given;

Total volume of ketchup V = 2 gallons

Number of bottles N = 15

The amount of ketchup per bottle A;

A = total volume of ketchup ÷ number of bottles

A = V/N

Substituting the values;

A = 2gallons ÷ 15bottles

A = 2/15 gallons per bottle

Answer:

2/15

Step-by-step explanation:

2 divided by 15 is the same or equal to 2/15

example: 2 divided by 15= 2/15

Answer:

p(p+q-qr)

Step-by-step explanation:

p^2+pq-pqr​

Factor out a p

p(p+q-qr)

Answer:

p(p+q-qr)

Step-by-step explanation:

p^2 +pq-pqr

= p(p+q-qr)

Answer:

C) 9

f(0) +g(1) = 5 +4 =9

F(2) = -2 + 5 =3

Step-by-step explanation:

Given f(x) = -x + 5

      g(x) = 2 x + 2

Put x=0 in f(x) = -x +5

                f(0) = -0 +5 =5

             g(x) = 2 x + 2

Put x= 1

             g(1) = 2(1) +2

             g(1) = 4

f(0) +g(1) = 5 +4 =9

b) f(x) = -x +5

put x = 2

F(2) = -2 + 5 =3

Answer:

3/4

Step-by-step explanation:

Let the unknown number be x.

Subtract 1/2 from the unknown number: x - 1/2

Multiply the result by 1/2: 1/2(x - 1/2)

You get 1/8: 1/2(x - 1/2) = 1/8

Now we solve the equation for x.

1/2(x - 1/2) = 1/8

Multiply both sides by 2.

2 * 1/2(x - 1/2) = 2 * 1/8

x - 1/2 = 1/4

Multiply both sides by 4

4x - 4 * 1/2 = 4 * 1/4

4x - 2 = 1

Add 2 to both sides.

4x = 3

Divide both sides by 4.

x = 3/4

Answer: The number is 3/4.

Answer: Lester gets about 400 k - 700k in casino hiest

Step-by-step explanation:

Answer:

g(x)=(x^2)-3

Step-by-step explanation:

f(x) is shifted down by 3 units

Answer:

The constant of proportionality is [tex]\frac{1}{40}[/tex]

Step-by-step explanation:

We have a function that relate the number of football mums made to the number of ribbons needed, since they are proportional the function that relates the two variables is a linear function is shown below:

[tex]y = a*x[/tex]

The constant of proportionality is the number, "a", that relates the two variables. It was state that 160 ribbons make 4 mums, therefore:

[tex]4 = a*160\\a*160 = 4\\a = \frac{4}{160} = \frac{1}{40}[/tex]

The constant of proportionality is [tex]\frac{1}{40}[/tex]

Answer:

[tex]4y+ y"x^2-4y'x = 0[/tex]

    ↓

[tex]F(x, y, y', y'') = 0[/tex]

Step-by-step explanation:

From the information given:

[tex]y = c_1x + c_2x^4 \\ \\ y^1'= c_1 + 4c_2x^3 \\ \\ c_1 =y' - 4c_2x^3 \\ \\[/tex]

So;

[tex]y = y'x -4c_2x^4+c_2x^4 \\ \\ y - y'x - 3c_2x^4 \\ \\ y'= y"x+y'- 12c_2x^3 \\ \\ c_2= \dfrac{y"x}{12x^3} \\ \\ c_2= \dfrac{y"}{12x^2}[/tex]

∴

[tex]y = y'x- \dfrac{3x^4*y'' }{12x^2} \\ \\ \\ y = y'x - \dfrac{y" x^2}{4} \\ \\ \\ 4y+ y"x^2-4y'x = 0[/tex]

  ↓

[tex]F(x, y, y', y'') = 0[/tex]

Answer:

1.5808

Step-by-step explanation:

rounded

hundreds

1.58

tens

1.6

first

2

Answer:

Brainelist goes to me!

Step-by-step explanation:

-6/3 = -2

Answer:

B

Step-by-step explanation:

Given

[tex]\frac{3-x}{x-6}[/tex] ← substitute x = 9 into the expression

= [tex]\frac{3-9}{9-6}[/tex]

= [tex]\frac{-6}{3}[/tex]

= - 2 → B

Answer:

D. [tex]3x^4 + x^3y - 8x^2y^2 + 9xy^3 - 13y^4[/tex]

Step-by-step explanation:

[tex]9xy^3 - 4y^4 - 10x^2y^2 + x^3y + 3x^4 + 2x^2y^2 - 9y^4 =[/tex]

[tex]= 9xy^3 - 13y^4 - 8x^2y^2 + x^3y + 3x^4[/tex]

[tex]= 3x^4 + x^3y - 8x^2y^2 + 9xy^3 - 13y^4[/tex]

The standard form of a polynomial is the general way of writing the polynomial.

The standard form of the polynomial is (d) [tex]3x^4 + x^3y -8x^2y^2 9xy^3 -13y^4[/tex]

The polynomial expression is given as:

[tex]9xy^3 - 4y^4 -10x^2y^2 + x^3y + 3x^4 + 2x^2y^2 - 9y^4[/tex]

Collect like terms

[tex]9xy^3 - 4y^4 - 9y^4 -10x^2y^2 + 2x^2y^2 + x^3y + 3x^4[/tex]

Evaluate the like terms

[tex]9xy^3 -13y^4 -8x^2y^2 + x^3y + 3x^4[/tex]

Rewrite the polynomial in decreasing order of the power of x

[tex]3x^4 + x^3y -8x^2y^2 9xy^3 -13y^4[/tex]

Hence, the standard form of the polynomial is (d) [tex]3x^4 + x^3y -8x^2y^2 9xy^3 -13y^4[/tex]

Read more about polynomials at:

https://brainly.com/question/2833285

Answer:

Rational numbers are sometimes natural numbers​

Step-by-step explanation:

8 is a Rational number and is natural too

1/2  is a Rational number and but is not natural

Answer:

C.

Step-by-step explanation:

Volume of a Sphere = [tex]\frac{4}{3} \pi r^3[/tex]

Where volume of sphere = 81 π cm³

So, the equation becomes

81 π = [tex]\frac{4}{3} \pi r^3[/tex]

Answer:

the correct answer is the third row.

Step-by-step explanation

Answer:

Step-by-step explanation:

The arcs that are congruent are:

Two geometric figures can be described as congruent if on can be superpose on the other.

Conclusively, congruent' is said to be a word that connote 'exactly equal' when looking at the shape and size of the angles. The options chosen above are congruent because they have the sides to be equal.

Learn more about congruent from

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Answer:

21+12i i hope this will help you

Step-by-step explanation:

(3-4i)(1+5i)-(2-i)

=[3(1+5i)-4i(1+5i)]-(2-i)

=[3+15i-4i-20i²]-(2-i)

=(3+11i-20i²)-(2-i)

opening brackeys

=3+11i-20i²-2+i

=3+11i+1i-20i²-2

as we know that i²=-1

=3-20(-1)-2+12i

=3+20-2+12i

=21+12i

The expression (3 - 4i)(1 + 5i) - (2 - i) is simplified as 21 + 12i

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the expression be A = (3 - 4i)(1 + 5i) - (2 - i)

Now , we know i² = -1

And , on simplifying the expression , we get

A = (3 - 4i)(1 + 5i) - (2 - i)

A = 3 + 15i - 4i - 20i² - 2 + i

A = -20i² + ( 3 - 2 ) + ( 15i - 4i + i )

A = -20 ( -1 ) + 1 + ( 11i + i )

A = 20 + 1 + 12i

A = 21 + 12i

Hence , the value of the expression (3 - 4i)(1 + 5i) - (2 - i) is ( 21 + 12i )

To learn more about equations click :

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#SPJ2

Answer:

a

Step-by-step explanation:

r = 2.5 cm

V=  3.14[tex](2.5 cm)^{2}[/tex](9 cm)/3 = [tex]59 cm^{3}[/tex]

Answer:

a

Step-by-step explanation:

Answer:

  A

Step-by-step explanation:

Rotating ABC 90° will make segment AB parallel to segment DE, facilitating comparison of sides and angles. The triangles are marked with two angles and the side between them, so the appropriate theorem to use is the ASA theorem. (That theorem refers to a side (S) between two angles (A..A).)

She can use what she knows about rotations and triangle congruence to prove that triangle congruence as per option A.

Two triangles are said to be congruent if their corresponding sides and angles are equal.

As per the given figure, we have triangles in which two angles and one side are equal.

∠A = ∠E = 65° (angle)

BA = ED (side)

∠A = ∠E = 30° (angle)

By rotating ABC 90°, section AB becomes parallel to segment DE, allowing for easier comparison of sides and angles. Because the triangles are defined by two angles and the side between them, the ASA theorem is relevant. (This theorem is about a side (S) between two angles (AA).)

Thus, the correct answer is option A.

Learn more about congruent triangles here:

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Answer:

Step-by-step explanation:

volume=area of base×height

area= length×witgh

a)

a=5×4

a=20

v=20×10

v=200 sq. cen.

b)

lol idk how to explain this one

a=153

v=153×16

v=2448 sq. cm.

c)

V = 1/3AH

a= 15×15

a=225

v=1/3 225 17

v=1/3 3825

v=1275 sq. cm.

im to tired to do the rest but i hope i helped with what i did

also that took a long time can i plz get brainilest?

Answer:

a=l times w

Step-by-step explanation:

give her brainilest. that’s why i answered some she can get brainilest

Answer:

-2

Step-by-step explanation:

3-5= -2

Answer:

the first one, v < 1 23/25

Step-by-step explanation:

multiply both sides by 6 and divide by 5

v < 48/25, or v < 1 23/25

Answer:

v < 1 23/25

Step-by-step explanation:

5/6 v < 8/5

Multiply each side by 6/5

6/5*5/6 v < 8/5*6/5

v < 48/25

Rewrite as a mixed number

v < 1 23/25

Answer:

[tex]82[/tex]

Step-by-step explanation:

[tex]24+74+x=180[/tex]

[tex]98+x=180[/tex]

[tex]x=180-98[/tex]

[tex]x=82[/tex]

Answer:

x =82

Step-by-step explanation:

The sum of the angles in a triangle is 180 degrees

24+74+x = 180

Combine like terms

98+x = 180

Subtract 98 from each side

98+x-98= 180-98

x =82

You didnt give the sizes of the ribbon so let me help you out. You have to divide the size by total cost, bringing you to the cost per one whatever unit you are using.

Answer:

E. y = 1/4x

Step-by-step explanation:

Using y = 1/4x. Do rise over run. The graph rises 1 on the y-axis for every 4 on the x-axis

Answer:1.661905 or 349/210 Or 1 139/210

Step-by-step explanation:

2⁄5 + 3⁄7 + 5⁄6

29/35+5/6

349/210

Answer:

He saves £135 each week

Step-by-step explanation:

He spends 2/5 of his wage on food

2/5x450=£180

He spends 180£ on food each week

30% of 450 is 135 which he spends on house holdbills. thus, he pays £135 on bills

so his total expenditure is 135+180= £315

he saves the rest which is £135.

thus, your answer is £135

Answer:

AB = 30 inch

BC = 14 inch or BC = 50 inch

Step-by-step explanation:

Make a drawing. Please see the attachment. All measurements are in inches.

Consider the two triangles:

∆ ABC and ∆ AB'C

1. Looking only at ∆ ABC. Since this is not a rectangular triangle, let's first consider ∆ ANC, so we can calculate NC.

AN is the height and there fore is perpendicular to NC and thus also to BC.

In ∆ ANC

AN² + NC² = AC²

We want to calculate NC, so:

NC² = AC² - AN²

Given: AC = 40 and AN = 24

NC² = 40² + 24²

NC² = 1600 + 576

NC² = 1024

NC = +-SQRT(1024)

NC = 32

NC = NB + BC

We want to know BC

BC = NC - NB

Given: NB = BN = 18 and we just calculated NC to be 32 so...

BC = 32 - 18

BC = 14

2. Looking only at ∆ AB'C

AN is the height and there fore is perpendicular to B'C. Let's consider ∆ AB'N, so we can calculate AB'.

AN is the height and there fore is perpendicular to B'N, which means it has an angle of 90° in ∆ AB'N.

In ∆ AB'N

c² = a² + b²

AB'² = AN² + B'N²

Given: AN = 24 and B'N = 18

AB'² = 24² + 18²

AB'² = 576 + 324

AB'² = 900

AB' = +-SQRT(900)

AB' = 30

In ∆ AB'C

with AB' = 30 and AC = 40

c² = a² + b²

B'C² = AB'² + AC²

B'C² = 30² + 40²

B'C² = 900 + 1600

B'C² = 2500

B'C = +-SQRT(2500)

B'C = 50

Now we have our answers.

Extra:

Please look at the picture again, but now concentrate on the indicated 50 and - 50...

I am trying to explain something about the meaning of the outcome of mathematical calculations like:

c² = 2500

c = +- SQRT(2500)

c = 50 or c = - 50

Depending on where you want to start from, you can "move" 50 inch in one direction or 50 inch in the opposite direction, hence the -50 inch. Please let me explain why I am making a fuss...

1). Let's consider ∆ AB'C. Going from B' to C, you "move" -50 inch form B' towards C. This 50 inch is what we calculated earlier, but the we neglected to explain why we discarded the minus value of the SQRT... We just stated it to be only the positive value! Normally we give no meaning to the negative variant of it... Well, is this true in this case?

2). Let's consider ∆ ABC'. Going from B to C', you "move" 50 inch form B towards C'. Please understand that the direction is opposite that of - 50 inch in 1).

It is important to understand that a negative sign means the 180° in the direction of the other way.

In general. When calculating a square side by using the SQRT, you carefully need to consider if you can discard the -

minus value of your calculated outcome.

Not always, but usually there is some sort of meaning to the negative part of the SQRT, you just need to be willing to understand what it possibly could mean.

I hope this has made some sense to you :-).

Answer:

1). Number of kids on the other side = 16

2). Brian took the time to each piece of pie = 20 seconds

Step-by-step explanation:

1). Let the number of kids on one side = x

  Then the number of kids on other side = 2x

  3 adults helped the side having number of kids = x, then the number of people on this side = x + 3

Since the total number of people on this side = 11

Then the equation will be,

x + 3 = 11

x = 11 - 3

x = 8

Then number of kids on the other side = 2x = 2×8

                                                                           = 16

2). By unitary method,

∵ Brian took the time to eat 6 pieces of the pie = 2 minutes

∴ Brian will take time to eat 1 piece of pie = [tex]\frac{2}{6}[/tex] minutes

                                                                     = [tex]\frac{2}{6}\times 60[/tex] seconds

                                                                     = 20 seconds

Answer:

It will be true when a ≤ 4

Step-by-step explanation:

You can plug in the number to see if it is correct. 4(4) ≤ 16. Sorry, I'm not the best at explaining things.

Answer:

144

Step-by-step explanation:

b2 – 4ac =

(–8)^2 – (4)(2)(–10) =

64 + 80

144

Answer:

B or C or A or E or D i dont know

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

The result of the multiplication must end in 0 so A, D nor E are the answer.

Consider B:

34 * 45

Neither of the numbers are divisible by 7 so it's not this one.

It's C because:

56 is divisible by 1, 2,4,7,8 and

45 is divisible by 3, 5, 9

The factors contain 2 and 3 so its also divisible by 2*3 = 6.

The product ends in 0 so its also divisible by 10.