Find the 15th term in the following arithmetic sequence : 1, 6, 11, 16, ...

Hint: Write a formula to help you. 1st term + common difference(desired term - 1)​

Step-by-step explanation:

[tex]5x + 3y = 13 \\ 7x + 8y = - 16 \\ 5x = 13 - 3y \\ x = \frac{13 - 3y}{5} \\ 7( \frac{13 - 3y}{5} ) + 8y = - 16 \\ 18.2 - 4.2y + 8y = - 16 \\ 3.8y = - 34.2 \\ y = - 9 \\[/tex]

[tex] x = \frac{13 - 3( - 9)}{5} = \frac{13 + 27}{5} = \frac{40}{5} = 8 \\ x = 8 \\ y = - 9[/tex]

Answer:

These two warehouses will contain the same number of boxes in 51 days.

Step-by-step explanation:

Since the number of boxes in Warehouse "A" currently totaling 476 is increasing at a rate of 4 boxes per day, while the number of boxes in Warehouse "B" currently totaling 986 is decreasing at a rate of 6 boxes per day, To determine in how many days these two warehouses contain the same number of boxes, the following calculation must be performed:

Warehouse A = 476 + 4X

Warehouse B = 986 - 6X

476 + 4 x 50 = 476 + 200 = 676

986 - 6 x 50 = 986 - 300 = 686

476 + 4 x 51 = 476 + 204 = 680

986 - 6 x 51 = 986 - 306 = 680

Therefore, these two warehouses will contain the same number of boxes in 51 days.

Answer:

38

Step-by-step explanation:

triangle

0Answer:

Angle PTR is 136*

Step-by-step explanation:

In Question, We Have Given

Line PS and RS are Two Tangent To Circle With Centre T & ∠PSR=44* .

Thus ∠SPT=90* & ∠SRT=90* (Property Of Tangent ↔ Tangent always Form 90* With Radius Of Circle)  

Now We Have A Quadrilateral SPTR & The Sum Of All Angle Of Quadrilateral is 360* .

Thus The Angle Of PTR is

∠PTR = 360* - ( 90*+90*+44*)

∠PTR = 360* - 224*

∠PTR = 136*

Diagram, Please Find In Attachment

Answer:

B

Step-by-step explanation:

In fact in this case there is only a value of y when x is equal to 0

Answer:

84

Step-by-step explanation:

1 is = 84 since its a vertical angle.

5= 84 since its the corresponding angle in this tranversal.

Hoped this helped,

JoeLouis2

Answer:

Enlightenment philosophers John Locke, Charles Montesquieu, and Jean-Jacques Rousseau all developed theories of government in which some or even all the people would govern. These thinkers had a profound effect on the American and French revolutions and the democratic governments that they produced.

I am guessing your in the same situation as me sweeping across the internet for help in our summer school history classes well I found this hope it helps

Answer:

Step-by-step explanation:

[tex](\sqrt{14}-\sqrt{3})(\sqrt{12}+\sqrt{7})=\sqrt{14}*\sqrt{12}+\sqrt{14}*\sqrt{7}-\sqrt{3} *\sqrt{12}-\sqrt{3} *\sqrt{7}\\\\=\sqrt{14*12} + \sqrt{14*7}-\sqrt{3*12}-\sqrt{3*7}\\\\=\sqrt{2*7*2*2*3} + \sqrt{2*7*7}-\sqrt{3*3*2*2}-\sqrt{3*7}\\\\=2\sqrt{2*7*3}+7\sqrt{2}-3*2-\sqrt{21}\\\\= 2\sqrt{42}+7\sqrt{2}-6-\sqrt{21}[/tex]

Answer: C

Step-by-step explanation:

The solution is Option A.

The value of the equation is 6x³ - 12x² - 48x is A = 6x ( x + 2 ) ( x - 4 )

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 equation be represented as A

Now , the value of A is

A = 6x³ - 12x² - 48x   be equation (1)

On simplifying the equation , we get

Taking 6x as the common factor , we get

A = 6x ( x² - 2x - 8 )

On simplifying the equation , we get

A = 6x ( x + 2 ) ( x - 4 )

Therefore , the value of A is 6x ( x + 2 ) ( x - 4 )

Hence , the equation is 6x ( x + 2 ) ( x - 4 )

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

the number is 2

Step-by-step explanation:

5x2=10+9=19

Answer:

The missing parts of the proof includes;

1) ∠ABC = m∠CBD + m∠ABD = 90° (Angle addition postulate)

2) m∠CBD = m∠ABD (Definition of angle bisector)

3) m∠CBD + m∠ABD  = m∠CBD + m∠CBD (Substitution property of equality)

Step-by-step explanation:

The given details of the proof are;

∠ABC is a right angle = 90°

Line DB is a bisector of ∠ABC

Therefore;

1) ∠ABC = m∠CBD + m∠ABD = 90° by angle addition postulate

By the definition of angle bisector, we have;

The angles formed by line DB from ∠ABC are equal,

2) m∠CBD = m∠ABD by the definition of angle bisector

3) m∠CBD + m∠ABD = 90° = m∠CBD + m∠CBD = 2 × m∠CBD by substitution property of equality

2 × m∠CBD = 90°

∴ m∠CBD = 90°/2 = 45°

Answer:

A: Given

B: measure the angle ABC = 90

C: angle addition postulate

D: 2 times the measure of angle CBD = 90

Step-by-step explanation:

Hope this helps <3

Answer:

The length of NK is 10 cm.

Answer:

10 cm

Step-by-step explanation:

In parallelogram, opposite sides are parallel and equal.

AB and NK are opposite sides

So, NK = AB = 10cm

Answer:

x = 19

<6 =  109

<7 = 109

Step-by-step explanation:

Angles 6 and 7 are vertical angles so they are equal

7x -24 = 5x+14

Subtract 5x from each side

7x-5x -24 = 5x-5x+14

2x-24 = 14

Add 24 to each side

2x-24 +24 = 14+24

2x = 38

Divide by 2

2x/2 = 38/2

x = 19

<6 = 7x -24 = 7*19 -24 = 109

<7 = 5(19)+14 = 109

Answer:

it is 32

Step-by-step explanation:

the answer is 32 it is the answer

Answer:

32

Step-by-step explanation:

20% of 40 is 8

so 40-8=32

Answer:

π =14 cm

Step-by-step explanation:

Given:

circumference of a circle =616 cm

pie(π)=22/7

circumference of a circle=πr^2

616=22/7 *r^2

616*7/22 =r^2

4312/22 =r^2

196=r^2

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

14 =r

Answer:

The answer is h(x)=(1/4)x

Step-by-step explanation:

Answer:

16/49

Step-by-step explanation:

2/ 7÷ 7/8

Copy dot flip

2/7 * 8/7

Multiply the numerators

2*8 =16

Multiply the denominators

7*7 = 49

numerator over denominator

16/49

Answer:

[tex]\frac{16}{49}[/tex]

Step-by-step explanation:

Answer:

{x,y} ={10,-8}

Step-by-step explanation:

hope it help please mark me as brinnelist

Answer:

0.5

Step-by-step explanation:

First we need to find the total number of hats 4 green hats + 3 blue hats + 1 orange hat = 8 hats P( green hat) = green / total      

                                            = 4 / 8                    

                                              = 1/2  

Answer:

yes

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

press 60 on your casio calculator then the equal sign then shift and then 3rd row this button ".,,," which means factorise

Answer:

Ext angles = 40 degs 360/40 = 9 sides

Step-by-step explanation:

Answer:

Im sorry but it is kind of confusing

Step-by-step explanation:

===========================================

Explanation:

The negative out front of the parenthesis will swap the sign of each term. That means -3c^3 becomes +3c^3, or simply 3c^3. The other terms in the parenthesis are handled the same way.

After distributing the negative through, we add straight down.

The 7c^3+3c^3 becomes 10c^3

Then we have -5c^2+(-2c^2) become -7c^2

Finally, 2c+2c simplifies to 4c

Answer:

10C³-7C²+4C

7c³-(-3c³) -5c²-(+2c²) +2c-(-2c)

Answer:

nah man... good luck tho

Answer:

y = (1/2)x + 2 1/2

Step-by-step explanation:

y - 3 = (1/2)(x - 1)

Distribute the 1/2

y - 3 = (1/2)x - 1/2

Add 3 to both sides

y = (1/2)x + 2 1/2

Answer:

The range of the value of numbers is 8

Step-by-step explanation:

Mathematically, the range refers to the difference between the biggest and the smallest number

From the diagram, the biggest number is 13and the smallest is 5

The difference between this two is the range

we have this as 13 -5 = 8