Justin has a savings account.
• He started with $70 in his account.
• He deposits $15 into the account each week.
What is the total amount Justin will have in his account after 10 weeks?

Answer:

x<4

Step-by-step explanation:

The arrow is facing left, making it less than. Next, the open circle on 4 means that it does not include 4, therefore the inequality is x<4.  

The inequality that represents this situation is - ∞ ≤  x < 4.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Assuming the number line is represented by x.

An open circle on the right-hand side of the line at 4 represents it is less than 4.

We can also observe that the line is going infinitely in the direction of negative infinity.

So, this situation can be represented by an inequality of the form

- ∞ ≤  x < 4.

learn more about inequalities here :

https://brainly.com/question/28823603

#SPJ2

Answer:

c / 2x²=32

Step-by-step explanation:

so we have 2x²=32

x²=32/2

x²=16

x=√16 and x= -√16

x=4 and x= -4

Answer:

C D F

Step-by-step explanation:

C. 2x²=32

x²=16

x=±4

D.-3x²=-48

-x²=-16

x²=16

x=±4

F.27-5x²=-53

5x²=27+53=80

x²=16

x=±4

Answer:

1

Step-by-step explanation:

Assuming no division by 0, anything divided by itself is 1.

Answer: the answer is 1

Step-by-step explanation:

I don't believe I have enough time to explain

Answer:

72°

Step-by-step explanation:

The full plate has a central angle of 360°.

7/35 × 360° = 72°

Answer:

72°

Step-by-step explanation:

In order to find the value of the central angle, you must first determine what percentage of the plate was broken.

Since 7 out of the total 35 inches of circumference were broken, you divide 7 by 35 ([tex]7/35[/tex]) and get 0.2, which means 20% of the plate is broken.

Now, knowing that a circle consists of 360°, you need to find 20% of 360.

Use the formula [tex]\frac{percent}{100} =\frac{part}{whole}[/tex] .

[tex]\frac{20}{100}=\frac{x}{360}[/tex]

360 x 20 = 7200

7200 ÷ 100 = 72

x = 72

So, the central angle is 72°.

Have a nice day ^-^

Answer:

B. 66

Step-by-step explanation:

73+25 = 98

Z = 98-32

Z = 66

Answer:

Y = -3(x - 5/6)^2 - 59/12 and  x = 5±i√59/6

Step-by-step explanation:

Pls give brainllest

Answer:

83%

Step-by-step explanation:

12 + 13 + 15 = 40

16 x 4 = 64

16 x 3 = 48

40/48 = 0.833333333333

Answer:

325

Step-by-step explanation:

500×.35=175

500-175=325

Answer:

35y^3+55y-21y^2-33

Step-by-step explanation:

that's the answer

Answer

[tex]70 {y}^{2} + 13y - 33[/tex]

Step-by-step explanation:

I think that's the answer I'm not sure

Answer:

The top one is refraction

Refraction is the bending or change in angle of light

Hope this helps (sorry I don’t have the answer to the second question)

Answer:

1. Refraction

2. Translucent  

Step-by-step explanation:

1. Refraction is the bending of light

2.Translucent Materials are materials that allow light to pass through them. Opaque materials do not allow light to pass through them.

Answer:it looks like 90degrees from here so 45 since the middle line is halving it

Step-by-step explanation:

Answer: 5,789 digits

Step-by-step explanation:

9(1) +90(2)+900(3)+725(4)

=5789 digits

Answer:

6 or 7

Step-by-step explanation:

Answer:

Is there anything else to this like a description or a sentence?

Step-by-step explanation:

Sorry I need more than this

Answer:

x = -2.

Step-by-step explanation:

y + 2x = -1

y = -2x - 1

y =1/2x+4

Subtracting the last 2 equations:

0 = -2x - 1/2x - 1 - 4

5 = - 5/2 x

x = 5 / -5/2

=  5 * 2 / -5 = -2.

Answer:

g(x) = 7√x

Step-by-step explanation:

Parent function:  f(x) = √x

Parent function vertically stretched by a factor of 7:  g(x) = 7√x

The equation of the new function is 7√x.

Scale factor is that it is a number that multiplies times a given quantity to produce a smaller or larger version of the original number. The ratio of any two corresponding lengths in two similar geometric figures.

For the given situation,

The equation is F(x) = √x

The parent function is vertically stretched by 7 units.

So, the new function is

⇒ [tex]7(\sqrt{x} )[/tex]

⇒ [tex]7\sqrt{x}[/tex]

Hence we can conclude that the equation of the new function is 7√x.

Learn more about scale factor here

https://brainly.com/question/22644306

#SPJ2

Answer:

Step-by-step explanation:

Answer:

Hello! 59.2 is our answer

This is because for all the triangles we do 5.4 x 4 = 21.6 then I divide by 2 cause thats the formula when doing triangles so I get 10.8 and sense all the triangle sides our the same I do 10.8 x 4 and get 43.2 then for the bottom side I just have to do 4 x 4 cause thats the formula and get 16 then I add these up so 43.2 + 16 = 59.2 and We get our answer 59.2 Hope this helps!

Answer:

25

Step-by-step explanation:

rate of change =change of distance/ change of time

so if you look at the chart you can see these points: (2,50) and (6,150)

change of distance would be 150-50/ change of time which would be 6-2 which equals 100/4 which is 25, the rate of change.

Here's the solution,

The given triangle is an equilateral triangle, because it's all angles measure 60° each

now,

Area of an equilateral triangle :

=》

[tex] \dfrac{ \sqrt{3} }{4} {a}^{2} [/tex]

where,

=》

[tex] \dfrac{ \sqrt{3} }{4} \times 8 \times 8[/tex]

=》

[tex] \sqrt{3} \times 16[/tex]

=》

[tex]16 \sqrt{3} \: \: \: cm {}^{2} [/tex]

or

=》

[tex]27.71 \: \: cm {}^{2} [/tex]

Answer:

the answer is A. y=2sin(1/2x)+1

Step-by-step explanation:

I input all four functions on desmos (a graphing calculator), and saw that A. y=2sin(1/2x)+1 was similar to the function shown in the graph

The function that matches the graph is y= 2 sin(1/2x) +1.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given:

let y = A sin ([tex]\omega[/tex]x + Ф)+  k

T= 4π, w= 2π/T = 1/2

Now, midline= 1/2( max + min)

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

k=1

and, A= 3-1 = 2

So, y= 2 sin(1/2x  + Ф) +1

as, Ф=0

So, y= 2 sin(1/2x) +1

Learn more about graph here:

https://brainly.com/question/16608196

#SPJ5

Answer:

A=250

r= 15%

Step-by-step explanation:

Given data

We have the function

y = 250(.85)^6------------1

The given function is the same as the exponential decrease

function

P=A(b)^t---------------------2

Note

b= 1-r= 1-0.15

b= 0.85

When we compare both 1 and 2 above

A=250

r= 15%

Answer:

pi x radius x 2 x height of the cylinder.

Answer: The surface area of the cube would be 3^3/4.

Step-by-step explanation:

A cube has 6 faces [ 6 surfaces ]. Each surface has a square shape.

The area of 1 surface=  (side)^2=  3/4 · 3/4= 9/16 sqr.in.

Surface area of cube =9/16 · 1/6= 54/16.

divide both top and bottom (54 and 16) by 2. you should end up with 27/8.

27/8 = 3^3/4 sqr. in.

Hope this helps.

Answer:

x = 98

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 6 , then

sum = 180° × 4 = 720°

Sum the interior angles and equate to 720

x + 50 + 140 + 112 + x + x + 4 + 120 = 720, that is

3x + 426 = 720 ( subtract 426 from both sides )

3x = 294 ( divide both sides by 3 )

x = 98

Answer:

t > 2.5

Step-by-step explanation:

590/236 = 2.5

t > 2.5

Answer:

-17 degrees Celsius.

Step-by-step explanation:

If the temperature at midnight is -5, and it is supposed to drop 12 more by sunrise, the 12 degrees are subtracted from the initial temperature.

-5 - 12 = -17 degrees by sunrise.

Answer:

1) D

2) C

Step-by-step explanation: