#2: Given the geometric sequence 200, 100, 50, 25... (This one is tricky)
Write the explicit formula.
• Determine the 15th term of the sequence?

Answer:

a relation that is a function

Step-by-step explanation:

Answer:

I’m pretty sure it’s A

Answer:

They have the same slope

Step-by-step explanation:

Given

[tex]y = -\frac{5}{2}x[/tex]

[tex]y = -\frac{5}{2}x + 8[/tex]

Required

Determine the true statement about both lines

An equation has a general format of:

[tex]y = mx + b[/tex]

Where

[tex]m = slope[/tex]

By comparing this to the equations of both lines, we have that:

For line 1:

[tex]m = -\frac{5}{2}[/tex]

For line 2:

[tex]m = -\frac{5}{2}[/tex]

Compare the slopes of both lines, we have that:

[tex]m = m = -\frac{5}{2}[/tex]

Hence, we can conclude that both lines have the same slope

Answer:

Step-by-step explanation:

Speed is:

Time is:

Distance is:

Answer:

x = 24

Step-by-step explanation:

ABCD is a parallelogram.

Angle B and Angle C are adjacent (successive) angles.

Adjacent angles of a parallelogram are supplementary.

Therefore,

[tex](5x) \degree + (2x + 12) \degree = 180 \degree \\ \\ (5x + 2x + 12) \degree = 180 \degree \\ \\ (7x+ 12) \degree = 180 \degree \\ \\7x+ 12 = 180 \\ \\7x = 180 - 12 \\ \\ 7x = 168 \\ \\ x = \frac{168}{7} \\ \\ x = 24[/tex]

[tex]\boxed{\pink{\sf\leadsto Value \ of \ x \ is \ 24^{\circ}}}[/tex]

[tex]\boxed{\pink{\sf\leadsto Value \ of \ \angle C \ is \ 60^{\circ}}}[/tex]

[tex]\boxed{\pink{\sf\leadsto Value \ of \ \angle D \ is \ 120^{\circ}}}[/tex]

A parallelogram is given to us . in which m ∠ B = 5x and m ∠C = 2x + 12 ° . And we need to find x .

Figure :-

[tex]\setlength{\unitlength}{1 cm}\begin{picture}(12,12)\thicklines\put(0,0){\line(1,0){5}} \put(5,0){\line(1,2){2}}\put(7,4){\line( - 1,0){5}}\put(2,4){\line( - 1, - 2){2}}\put(0,-0.4){$\bf A$}\put(5,-0.4){$\bf b$}\put(6.5,4.3){$\bf c$}\put(2,4.3){$\bf d$}\qbezier(4.4,0)( 4.5, 0.8)(5.22,0.54)\put(4,0.4){$\bf 5x$}\put(4.7,3.3){$\bf 2x + 12$}\end{picture}[/tex]

Q. no. 1 ) Find the value of x.

Here we can clearly see that ∠DCB and ∠ABC are co - interior angles . And we know that the sum of co interior angles is 180° .

[tex]\tt:\implies \angle DCB + \angle ABC = 180^{\circ} \\\\\tt:\implies (2x + 12)^{\circ} + 5x^{\circ}=180^{\circ} \\\\\tt:\implies 7x = (180 - 12 )^{\circ} \\\\\tt:\implies 7x = 168^{\circ} \\\\\tt:\implies x =\dfrac{168^{\circ}}{7} \\\\\underline{\boxed{\red{\tt\longmapsto x = 24^{\circ}}}}[/tex]

[tex]\rule{200}2[/tex]

Q. no. 2 ) Determine the measure of < C .

Here we can see that <C = 2x + 12 ° . So ,

[tex]\tt:\implies \angle C = 2x + 12^{\circ} \\\\\tt:\implies \angle C = 2\times 24^{\circ} + 12^{\circ} \\\\\tt:\implies \angle C = 48^{\circ} + 12^{\circ} \\\\\underline{\boxed{\red{\tt\longmapsto \angle C = 60^{\circ}}}}[/tex]

[tex]\rule{200}2[/tex]

Q. no. 3 ) Determine the measure of < D .How you determined the answer .

Here we can clearly see that ∠D and ∠C are co - interior angles . And we know that the sum of co interior angles is 180° .

[tex]\tt:\implies \angle C + \angle D = 180^{\circ} \\\\\tt:\implies 60^{\circ} + \angle D = 180^{\circ}\\\\\tt:\implies \angle D = 180^{\circ} - 60^{\circ} \\\\\underline{\boxed{\red{\tt\longmapsto \angle D = 120^{\circ}}}}[/tex]

Answer:

Step-by-step explanation:

If Mrs. Alfonso runs 5 km in 0.5 hours,

she will run 10 km in an hour

Answer:

y = 5/8 x -2

Step-by-step explanation:

Given that the slope of the line, m=5/8, which passes through the point (-8,-7).

Let the equation of the line be y=mx+c

where m is the slope of the line and c is a constant.

As m=5/8, so the equation of line become

y= 5/8x+c

As the line passes through the point (-8,-7), so putting y= -7 and x= -8, we have

-7 = 5/8(-8)+c

-7 = -5 + c

c= -7 + 5

c= -2

On putting the value of c, the equation of line become

y=5/8 x -2

Hence, the equation of the line is y = 5/8 x -2.

Answer:  12

Step-by-step explanation:

Answer: The first option:

x ≤ -2  and 2x ≥ 6

Step-by-step explanation:

A compound inequality will have no solution if the inequalities are contradictory.

An example of this would be:

x > 3 and x < 1

There is no value of x that is at the same time larger than 3, and smaller than 1.

Now, let's analyze the options.

1) x ≤ -2  and 2x ≥ 6

This has no solution, because if x ≥ -2, the maximum value that x can take is x = -2

Replacing that in the other inequality we get:

2*(-2) > 6

-4 > 6

This is false, then this compound inequality has no solution.

2) x ≤ -1  and 5*x < 5

This ineqalty has infinite solutions, one can be x = -2

-2 ≤ -1 and 5*(-2) < 5

are both true.

3) x ≤ -1 and 3x ≥ -3

A solution for this can be x = -1

-1 ≤ -1  is true

3*(-1) ≥ -3

-3 ≥ -3 is true.

Then we have at least one solution here.

4) x ≤ -2  and 4x ≤ -8

Here we have infinite solutions, one can be x = -10

-10 ≤ - 2 is true

4*(-10) ≤ -8

-40 ≤ - 8 is also true.

Then the only option that has no solutions is the first one.

Answer:

5√2

Step-by-step explanation:

(5√2)^2 is 50 .........

Answer:

(5√2)^2

Step-by-step explanation:

hope this helps!

~mina

Answer:

Day 13

Step-by-step explanation:

If you add on both side 13 time you get 90

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

Work Shown:

4x^2 - 8x - 192

4(x^2 - 2x - 48)

4(x - 8)(x + 6)

We see that (x - 8) is one factor

To factor x^2-2x-48 into (x-8)(x+6), we need to find two numbers that

Through trial and error you should find the two values are -8 and 6 since

-----------

Another approach is to use the quadratic formula to solve x^2-2x-48 = 0. You should find that the two roots are x = 8 and x = -6.

Those two roots lead to the equations x-8 = 0 and x+6 = 0.

Then use the zero product property to get (x-8)(x+6) = 0

This shows that x^2-2x-48 factors to (x-8)(x+6)

Answer:

Difference in dollars: $3.01

Step-by-step explanation:

Answer:

lol

Step-by-step explanation:

Some oone idea about this ??

Answer:

Each payment should be £172.5

Step-by-step explanation:

Cost of electricity for next year = £600

Administration charge = 15%

Daryl wants to pay in four equal instalments throughout the year,

How much should each payment be?

First we need to find the total cost of bill by adding 15% of administration charge by finding 15% of 600

[tex]15\% \:of\: 600\\=\frac{15}{100}\times 600\\= 90[/tex]

So, 15% of 600 is 90

Now adding 90 into the electricity cost:

600+90

= 690

Now, the total cost of electricity bill is £690

Daryl wants to pay in four equal instalments.

So, divide 690 by 4

Each payment for instalments is: [tex]\frac{690}{4} = 172.5[/tex]

So, Each payment should be £172.5

Answer:

1.25t+5

Step-by-step explanation:

Answer:

Jaycee sold 28 candy bars

Step-by-step explanation:

Jayce and Rylee are selling candy bars for a school fundraiser. Rylee sold 84 candy bars and raised $210. If Jayce raised $70, how many candy bars did he sell?

From the above question:

$210 = 84 candy bars

$70 = x candy bars

Cross Multiply

210 × x = 70 × 84

x = 70 × 84/210

x = 28 candy bars

Therefore, Jaycee sold 28 candy bars

(I copied this from another answer, but hope it helps!)

Answer:

$72

Step-by-step explanation:

Interest = Principal(Rate)(Time)/100

Interest = $800(2)(4.5)/100

Interest = 7200/100

Interest = $72 (Answer)

Answer:

The commission is $6335

Step-by-step explanation:

Step one:

given

The sale price of the house was $90,500

the commission is 7% of the sale price

Required

The amount of the commission

Step two:

the amount of the commission can be calculated as follows

[tex]=7/100*90500\\\\=0.07*90500\\\\=6335[/tex]

Answer:

$12.664

Step-by-step explanation:

Answer:

13 ez 1 hard

Step-by-step explanation

13-26

1-5

26 + 5 = 31

Answer:

she did 5 hard chores and 3 easy chores

Step-by-step explanation:

5+5+5+5=20

20+2+2+2+5=31

Answer:

A: Checking account

Step-by-step explanation:

While credit cards and debit cards supply your money in transactions, a Checking account simply holds it.

Answer:2 3/5

Step-by-step explaination:

Answer:

sum of interior angle of a triangle is 180 degree

so,

3x +7 + 2x+7 +3x+6 = 180

8x + 20 = 180

8x = 180 - 20

8x = 160

x = 160/ 8

x = 20

May it will help you

Answer:

x = 20

Step-by-step explanation:

According to angle sum property of a triangle , sum of all the angles in a triangle is equal to 180°.

So,

[tex](3x + 7) + (2x + 7) + (3x + 6) = 180[/tex]

[tex] = > 8x + 20 = 180[/tex]

[tex] = > 8x = 180 - 20 = 160[/tex]

[tex] = > x = \frac{160}{8} = 20[/tex]