Here are the first five terms of a number sequence.
10
25
15
5
20
(a) (i) Write down the next two terms of this sequence.

Answer:

She would get $80 dollars in 10 weeks

Step-by-step explanation:

[tex]already \: has \: 20 \\ saving \: 6 \: per \: week \\ in \: 10 \: week \\ = 6 \times 10 + 20 \\ = 60 + 20 \\ = 80[/tex]

Answer:

6 dollars a week for every week she saved.

She already has 20 dollars so 10 weeks would be

20 +  10*6 = 10 weeks of saving

20+60=80

$80 would be saved up after 10 weeks.

Expression, 6 dollars a week which would be if weeks was represented by “w”. Since she already has 20 dollars, thats a base.

20 + 6w

Step-by-step explanation:

supplementary angles means sum of them is 180°

8x+4+6x+64 = 180

14x+68 = 180

x = 8

angles are 68 and 112

Answer:

y = 16

Step-by-step explanation:

y = 11 - x

of x is -5, subtitute it into the equation

y = 11 - (-5)

y = 11 + 5

y = 16

Answer:

16

Step-by-step explanation:

y=11--5

y=11+5

y+16

Answer: 15.7

Step-by-step explanation:

can i have a burger?

Answer:

78.5

Step-by-step explanation:

Area = [tex]31.4*5^{2}[/tex]

Answer:

y ≤ 1/2x + 5

Step-by-step explanation:

-3x + 6y ≤ 30

add 3x on both sides:

6y ≤ 3x + 30

divide 6 on both sides:

y ≤ 3/6x + 30/6

This is simplified to:

y ≤ 1/2x + 5

Answer:

Width: 1694 cm or 16.94 m

Length: 1706 cm or 17.06 m

Step-by-step explanation:

1. Write out the known equations:

First, the equation for the perimeter of a rectangle:

[tex]Perimeter = 2(Width) + 2(Length)[/tex]

We also know that the rectangle is 12 cm longer than it is wide. This leads to the second equation:

[tex]Length=Width+12[/tex]

2. Solve the system of equations for width:

Since we know the length in terms of width, and we know the perimeter, we can plug these values into the equation for the perimeter. First, let's rearrange the equation for perimeter to solve for width:

[tex]Perimeter = 2(Width) + 2(Length)\\Perimeter-2(Length)=2(Width)\\2(Width)=Perimeter-2(Length)\\Width=\frac{Perimeter-2(Length)}{2}[/tex]

Now, plug in the known values (since there are 100 cm in one metre, I'm multiplying the perimeter of 68 m by 100 to convert to centimetres--the perimeter of 68 m is equal to 6800 cm):

[tex]Width=\frac{6800-2(Width+12)}{2}[/tex]

Now, solve the equation for width:

[tex]Width=\frac{6800-2(Width+12)}{2}\\2(Width)=6800-2(Width+12)\\2(Width)=6800-2(Width)-24\\2(Width)+2(Width)=6800-24\\4(Width)=6800-24\\4(Width)=6776\\Width=1694cm[/tex]

3. Solve for length using width:

Now that we know the width, we can easily solve for the length using our previously established equation for length, [tex]Length=Width+12[/tex], as shown:

[tex]Length=Width+12\\Length=1694+12\\Length=1706cm[/tex]

4. Convert to metres.

If you want to know the answer in metres, you can convert from centimetres by dividing by 100:

1694/100 = 16.94 m

1706/100 = 17.06 m

Step-by-step explanation:

10 minutes = x

60 minutes (1) hour = x/10 * 60

In 60 minute or 1 hour she runs 60x/10 = 6x metre

Step-by-step explanation:

How to solve for x?

Eliminate -(9/2) to find out the value of x.

Add 9/2 to both sides of the equation:

[tex]x = - 7.5[/tex]

Answer

[tex]x=[/tex] [tex]-7.5[/tex]

Step-by-step explanation:

[tex]x -\frac{9}{2} = -12[/tex]

[tex]x -\frac{9}{2} + \frac{9}{2} = -12 + \frac{9}{2}[/tex]  (add [tex]\frac{9}{2}[/tex] to both sides)

[tex]x = -\frac{15}{2}[/tex]

[tex]-\frac{15}{2} =[/tex] [tex]-7.5[/tex]

[tex]x=[/tex] [tex]-7.5[/tex]

Answer:

C

Step-by-step explanation:

count on 6 10's from 31 because 6 x 10 is 60 and 31+60 is 91 which is your answer

(Sorry I'm late)

The capacity of the square base can is 5 x 5 x 14 (bottom face area x height) = 350 (cm3).

The capacity of the circular base can is 3.5 x 3.5 x pi x 12 = 461.814120078.. (round to 462)

So, the circular base can has a greater capacity and by 462-350 = 112 cm3

a) The area within the region is [tex]\frac{16}{3}[/tex].

b) The volume of the solid [tex]S[/tex] is [tex]\pi[/tex] cubic units.

c) The volume of the solid of revolution is [tex]\frac{164}{3}\pi[/tex] cubic units.

a) The region is bounded between [tex](0,0)[/tex] and [tex](2, 4)[/tex], the area of the region is defined by the following integral formula:

[tex]A = \int\limits^{b}_{a} {[g(x)-f(x)]} \, dx[/tex]   (1)

Where:

If we know that [tex]f(x) = x^{2}[/tex], [tex]g(x) = 4[/tex], [tex]a = 0[/tex] and [tex]b = 2[/tex], then the area within the region is:

[tex]A = \int\limits^{2}_{0} {4-x^{2}} \, dx[/tex]

[tex]A = \frac{16}{3}[/tex]

The area within the region is [tex]\frac{16}{3}[/tex]. [tex]\blacksquare[/tex]

b) The volume of the solid [tex]S[/tex] is determined by the following integral formula:

[tex]V = \frac{\pi}{8} \int\limits^2_0 {x^{2}} \, dy = \frac{\pi}{8} \int\limits^2_0 {x^{2}\cdot (2\cdot x)} \, dx = \frac{\pi}{4}\int\limits^2_0 {x^{3}} \, dx[/tex]

[tex]V = \pi[/tex]

The volume of the solid [tex]S[/tex] is [tex]\pi[/tex] cubic units. [tex]\blacksquare[/tex]

c) The solid of revolution around an axis parallel to the [tex]x[/tex]-axis is described by the following formula:

[tex]V = \pi \int\limits^b_a {[[f(x)-k]^{2}-[g(x)-k]^{2}]} \, dx[/tex]   (2)

Where [tex]k[/tex] is the y-coordinate of the axis of revolution.

If we know that [tex]f(x) = x^{2}[/tex], [tex]g(x) = 4[/tex], [tex]k = 7[/tex], [tex]a = 0[/tex] and [tex]b = 2[/tex], then the volume of the solid of revolution is:

[tex]V = \pi\int\limits^2_0 {[(x^{2}-7)^{2}-(4-7)^{2}]} \, dx[/tex]

[tex]V = \frac{164}{3}\pi[/tex]

The volume of the solid of revolution is [tex]\frac{164}{3}\pi[/tex] cubic units. [tex]\blacksquare[/tex]

To learn more on solids of revolution, we kindly invite to check this verified question: https://brainly.com/question/338504

Answer: Minimum; -3

Step-by-step explanation:

I found the answer by entering it into Desmos Graphing Calculator and then looking at the point of the vertex, which in this case would be (9,-3).

You could also find the x-intercepts, (p,0) and (q,0), using the quadratic formula and then plug them into the equation: x=p+q/2  which will give you your axis of symmetry, or your x value in your vertex. Then, plug that number into your equation. You can plug it into the equation you posted here or the equation of your x-intercepts. (x-p) (x-q) Keep in mind that the minus refers to you putting the opposite of your x-intercept. For example, if your x-intercept was 4, then you would have -4 in the equation.

Answer:

0.5km/h

Step-by-step explanation:

Assume lake has no current.

.

V=distance / time

V=39km / 3h

V=13km/h

In water Assume boat used same power travelling

V=35km / 2h

V= 12.5km/h

Current is the difference 0.5km/h

Answer:

7.752

Step-by-step explanation:

Well since the both have the same amount of didgets you can just line up like if it were adding thousands.

                  5. 1 2 8

                  2. 6 2 4

                 _________

So were going to add 8 + 4=12

Then so since it was 12 were just going to put 2 and then add a 1 to out result for 2 + 2

2 + 2=4+ the 1 we have to add since our last question was 10 and above so our answer is 5

Next add 6 + 1=7

Now our last step is to add 5 + 2 which=7

So you answer should look like this.

_________

7. 7 5 2

hope this helps have a great day:)

2,000,000+700,000+11,000+1,000+700+80+3

Answer:

I don't know how sorry ....

The formula or equation which represent the graphed line with point (1,2) (4,4) and slope 2/3 are,

[tex](y-2)=\dfrac{2}{3}(x-1)\\[/tex]

[tex](y-4)=\dfrac{2}{3}(x-4)\\[/tex]

The equation of a graphed line is a way to represent the line which lies on a point on the xy-coordinated with and informed about the steepness and the direction of the line.

The standard form of the equation of a graphed line can be given as,

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

Here, (c) is the y intercept of the line and (m) is the slope of the line.

Here, the slope of the graphed line is 2/3. The graph for this problem is attached below.

The two point in the graph below are (1,2) and (4,4). Then the equation of the line, for this two points with slope 2/3 can be given as,

[tex](y-2)=\dfrac{2}{3}(x-1)\\[/tex]

Using the points (4,4), we get,

[tex](y-4)=\dfrac{2}{3}(x-4)\\[/tex]

Thus, the formula or equation which represent the graphed line with point (1,2) (4,4) and slope 2/3 are,

[tex](y-2)=\dfrac{2}{3}(x-1)\\[/tex]

[tex](y-4)=\dfrac{2}{3}(x-4)\\[/tex]

Learn more about the equation of a line here;

https://brainly.com/question/18831322

Answer:

its b,c,e

Step-by-step explanation:

got it right on edge

Answer:

729 cm

Step-by-step explanation:

9 x 9 x 9 = 729 cm

Have a great day!

PLEASE MARK BRAINLIEST!

Answer:

486cm^2

Step-by-step explanation:

A is equal to the edge of the cube.

A=6a^2

=6·9^2

= 486

Because we are finding the surface area it would be the unit squared, because surface area is 2 dimensional. If we were finding the volume it would be cubed.

so the answer is 486 cm^2

Answer:
Slope is 3/2
y-intercept is (0,-45)

Answer:

A

Step-by-step explanation:

6x - 5 > - 29 ( add 5 to both sides )

6x > - 24 ( divide both sides by 6 )

x > - 4 → A

We are given with a inequality and we have to find the solution for it . So , let's start :

[tex]{:\implies \quad \sf 6x-5\> -29}[/tex]

Adding 5 to both sides :

[tex]{:\implies \quad \sf 6x-\cancel{5}+\cancel{5}\>-29+5}[/tex]

[tex]{:\implies \quad \sf 6x\> -24}[/tex]

Dividing both sides by 6 ;

[tex]{:\implies \quad \sf \dfrac{\cancel{6}\cdot x}{\cancel{6}}\> -\dfrac{24}{6}}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{x \> -4}}}[/tex]

Hence , Option A) x > - 4 is correct :D

Whenever dividing or multiplying an inequality by a -ve , so we have to tilt the sign too , while if we are multiplying or dividing with a +ve , so sign will remain the same , For example like if we are given with x > y , and we multiply both sides by -1 . So , it will then become - x < - y

Answer:

248

Step-by-step explanation:

The monthly payment for a $6,000 four-year loan with an APR of

8.50% is $244.04

The formula for calculating compound interest is expressed as:

A = P(1+r)^n

A = 6000(1+0.085)^4
A = 6000(1.95236)
A = 11,714.15

Hence the amount of the loan is 11,714.15

Monthly payment =11,714.15 /48
Monthly payment = 244.04

Hence the monthly payment for a $6,000 four-year loan with an APR of

8.50% is $244.04

Learn mor on compound interest here: https://brainly.com/question/24924853

[tex]\fbox{Hi\:there!\:Let\:me\:help\:you!}[/tex]

[tex]\mathbb{HOPE\:IT\:HELPS!}[/tex]

~Stargazing~

The equation that could be used to find the length of the tomato patch is 0 = 3x² + 17x -160 option (A) is correct.

It is defined as the two-dimensional geometry in which the angle between the adjacent sides are 90 degree. It is a type of quadrilateral.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

From the question:

The area of the vegetable garden = 170 square feet

The quadratic equation:

0 = 3x² + 17x -160

D = 2209

D > 0

The positive root of the quadratic equation is:

x = 5 ft (length of the tomato patch)

Thus, the equation that could be used to find the length of the tomato patch is 0 = 3x² + 17x -160 option (A) is correct.

Learn more about the rectangle here:

https://brainly.com/question/15019502

Answer:

67 1/2 cm

Step-by-step explanation:

v=lxwxh

v=4 1/2x 6x 2 1/2

v=67 1/2 cm^3

Volume of rectangular prism is given by:

‎ㅤ‎ㅤ‎ㅤ➙ V = l × b × h

Here, we have :

Therefore, volume:

[tex] \implies\quad \tt {V =l\times b\times h }[/tex]

[tex] \implies\quad \tt { V =6\times 2\dfrac{1}{2}\times 4\dfrac{1}{2}}[/tex]

[tex] \implies\quad \small{\tt { V = 6\times \dfrac{(2\times 2)+1}{2}\times \dfrac{(4\times 2)+1}{2}}}[/tex]

[tex] \implies\quad \tt {V = 6\times \dfrac{4+1}{2}\times \dfrac{8+1}{2} }[/tex]

[tex] \implies\quad \tt {V =6\times \dfrac{5}{2}\times\dfrac{9}{2} }[/tex]

[tex] \implies\quad \tt {V =\dfrac{6\times 5\times 9}{2\times 2} }[/tex]

[tex] \implies\quad \tt { V =\cancel{\dfrac{270}{4}}}[/tex]

[tex] \implies\quad \tt { V = \dfrac{135}{2}}[/tex]

[tex] \implies\quad \underline{\underline{\pmb{\tt { V = 67\dfrac{1}{2}\:cm^2}}}}[/tex]

Since half of the diagonal of the square is 10, that means the whole diagonal is 20.

Area of the square = [tex]\frac{1}{2} *(20)^{2} =200[/tex]

Thus the area is 200. Hope that helps!

Solution:

Given:

To find the diagonal, multiply half the diagonal by 2.

We also know that the sides of the square are equal. Let's use Pythagoras theorem to solve for the side length (c).

Square the side length to obtain the area of the square.

The area of the square is 200 units²

Answer:

g < -7

General Formulas and Concepts:
Algebra I

Equality Properties

Terms/Coefficients

Step-by-step explanation:

*Note:

When dividing or multiplying both sides of the inequality by a negative, flip the inequality sign.

Step 1: Define

Identify.

4 - 5g > 39

Step 2: Solve for g

∴ any number g less than -7 would work as a solution to the inequality.

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Topic: Algebra I

Unit: Inequalities