Kate has a $75 gift card to a coffee shop. Each Friday, she purchases a latte for $5. She created a graph to represent the amount of money on her gift card each week. Does Kate's graph represent the situation? Why or why not? A. No, because the amount of money on her gift card should increase each week. B. Yes, because she starts with $5 on her gift card. C. No, because the graph should start at the origin D. Yes, because the amount of money on her gift card should decrease each week.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

3x²y∛y

Step-by-step explanation:

∛27x⁶y⁴= ∛3³(x²)³y³y= 3x²y∛y

Answer:

230.3cm^2

Step-by-step explanation:

surface area: sum of all faces

base: 12 x 2.5 = 30cm^2

back: 84 cm ^2

cross section x 2 = 7 x 2.5 = 17.5

use Pythagoras theorem to find the width of slope: 7^2 + 2.5^2 = 49 + 6.25 = 55.25. square root of 55.25 = 7.4

so, area of slope : 7.4 x 12 = 88.8cm^2

sum of all areas: 114 + 106.3  = 230.3

Answer:

I think the first step is to group all the addition first and then you do the subtraction.

Answer:

Remember PEMDAS; parenthesis, exponents, multiplication, division, addition and subtraction.

Step-by-step explanation:

so ti will be;

2+7+5-8+13

27-8

21

Answer:

The Solution Set

Step-by-step explanation:

Despite missing some context, the output we could get as result of an expression/equation it is what we call a Solution set. A set which makes the initial statement of equation/expression true, therefore valid.

[tex]x^{2} -7x+12=0\\(x-3)(x-4)=0\\S=\{3,4\}[/tex]

Therefore, the elements of the Solution set, 3 and 4 when plugged into the equation make the statement of the quadratic equation true.

[tex](3)^{2}-7(3)+12=0\\-12+12=0\\0=0[/tex]

The output or possible values you could get as a result from an expression or equation is the solution set of the equation

Take for instance, we have the following equation

[tex]x^2 = 4[/tex]

When solved, the equation becomes

[tex]x = \pm 2[/tex]

This can be rewritten as:

[tex]x = \{-2,2\}[/tex]

This means that -2 and are the solution set of the equation [tex]x^2 = 4[/tex]

Hence, the output or possible values are called solution set

Read more about equations at:

https://brainly.com/question/14323743

Answer:

0.3° = 0.3π/180

8° = 2π/45

Multiplying both

0.3π/180×2π/45

3/10π/180 × 2π/45

You will get

π/300 × π/45

= π²/13500 where a = π² b= 13500

Hope this helps.

Answer:

it might come from 9/n = 10/m

Answer:

9/m=10/n

Step-by-step explanation:

Answer:

1000

Step-by-step explanation:

The successor of 999 is 1000

999+1=1000

SUCCESSOR

The number which comes immediately after a particular number is called its successor.  The successor of a whole number is the number obtained by adding 1 to it.  Clearly, the successor of 0 is 1; successor of 1 is 2; successor of 2 is 3 and so on.

Answer:

3

√

33

x

2

Step-by-step explanation:

Simplify

(Something is wrong with my keyboard hopefully you can put this together I'm sorry)

The decimal multiplier to increase by 39% is 1.39

A decimal multiplier is used when determining the percentage of a particular amount.

From the information given:

the decimal multiplier required to increase by 39% can be determined as follows:

[tex]\mathbf{=\dfrac{100}{100} + \dfrac{39}{100}}[/tex]

[tex]\mathbf{=1 +0.39}[/tex]

= 1.39

Learn more about decimals here:

https://brainly.com/question/19494636?referrer=searchResults

Answer:

(6x+4)(6x-4)

Step-by-step explanation:

a^2 - b^2 = (a+b)(a-b).

sqrt of 36x^2 is 6x; sqrt of 16 is 4.

a = 6x, b = 4.

Answer:

[tex] (6x - 4)(6x + 4) \\ [/tex]

Step-by-step explanation:

[tex]36 {x}^{2} - 16 \\ {6}^{2} {x}^{2} - {4}^{2} \\ (6x - 4)(6x + 4)[/tex]

hope this helps you.

brainliest appreciated

good luck! have a nice day!

Answer: I got b., no solutions

Step-by-step

3x-5y=15

6x-10y-30x

times the top by-10 and the bottom by 10

-30x+50=-150

60x-50=300

crossing out the 50's cause they cancel out. also, subtract the others -30-60 giving -90x. and -150-300= -140

-90x=-450

divide  -450 by -90

x=5.

Put 5x in either equation. Either one you do. it cancels out the answer in the equation. then you would subtract and get zero. divide and still get zero.

Sounds really confusing but hope it helps. Please give me a brainliest. Thanks :)

Answer: 302 cm2

Step-by-step explanation:

Hi, to answer this question we have to calculate the surface area of the cubes and the rectangular prism, and the then add them (minus the overlaps)

Surface area of a cube (SAC)= 6 x side length ^2  

Since one side of each cube is covered by each other, we simply have to multiply the area of one side by 5 instead of 6.

SAC = 5 x (2)^2 = 20 cm2

Since both cubes are equal, we simply multiply it by 2:

20 x 2 = 40 cm2 (surface area of the 2 green cubes)

Surface Area of a rectangular prism (SAP) = 2wl + 2lh + 2hw

Where:

w = width (5); l = length (11); h = height (5)

SAP = 2 (5x 11) + 2 (11 x5) + 2 (5x5) = 110+110+50=270 cm2

Finally, adding both surface areas, and subtracting the base area of the bottom cube covered by the prism multiplied by 2 ( overlap )

270+40-2(4) = 302 cm2

Answer:

2(x-3)

Step-by-step explanation:

2x² - 2x - 12= 2(x²-x+6)= 2(x²+2x- 3x+6)= 2(x-3)(x+2)

A) Figure RST is congruent to figure R′S′T′.

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

Prism Area

The total surface area of a rectangular prism is given by ...

  SA = 2(LW +H(L +W))

For L = 12 ft, W = 5 ft, H = 4 ft, the surface area is ...

  SA = 2((12 ft)(5 ft) +(4 ft)(12 ft +5 ft)) = 2(60 ft^2 +(4 ft)(17 ft))

  = 2(60 ft^2 +68 ft^2) = 256 ft^2 . . . blank 1

__

Pyramid Lateral Area

The lateral area of the pyramid is 4 times the area of one triangular face:

  LA = 4(1/2)bh = 2(5 ft)(5 ft) = 50 ft^2 . . . blank 2

__

Pyramid Base Area

The area of the square base of the pyramid is the square of the length of one edge:

  B = (5 ft)^2 = 25 ft^2 . . . blank 3

__

Total Exposed Area

The exposed area of the prism is its area less that of the base of the pyramid. The total exposed area is the sum of prism exposed area and lateral area of the pyramid.

  total exposed area = (exposed prism area) + (pyramid lateral area)

  = (prism area) - (pyramid base area) + (pyramid lateral area)

  = 256 ft^2 - 25 ft^2 + 50 ft^2

  total exposed area = 281 ft^2 . . . blank 4

Answer:

Depends on the x value

Step-by-step explanation:

f(x) can only be a function if the x values are not repeating.

Answer:

Question 1:

The sum of interior angles of a polygon can be found by the following formula:

(n-2) × 180

Where n is the no. of sides

A pentagon has 5 sides

So,

= (5-2) × 180

= (3) × 180

= 540 degrees

Question 2:

Since The sum of interior angles of a regular octagon is 1080 and the total interior angle are 8

So, Measure of interior angle = [tex]\frac{1080}{8}[/tex]

Measure of interior angle = 135 degrees

Question 3:

Since, one interior angle in a hexagon measures 120 degrees.

So,

The interior angle should be subtracted by 180 to get the exterior angle.

Exterior angle = 180-120

Exterior Angle = 60 degrees

Answer:

Step-by-step explanation:

5x - 4 - (4x + 1)

5x - 4 - 4x - 1

x - 5

Answer:

$68.40

Step-by-step explanation:

Let x represent the required cost.

Since the number of toys is directly proportional to the cost:

x : $20.52 = 120 : 36

i.e.  x/$20.52 = 120/36

      x = ([tex]\frac{120 * $20.52}[/tex])/36

      x = $2462.40/36

      x = $68.40

Hope this helps!!!

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

tan A = [tex]\frac{sinA}{cosA}[/tex] , cot A = [tex]\frac{cosA}{sinA}[/tex]

Consider the left side

(1 + cotA + tanA)(sinA - cosA)

each term in the second factor is multiplied by each term in the first factor.

1(sinA - cosA) + cotA(sinA - cosA) + tanA(sinA - cosA)

= sinA - cosA + cosA - [tex]\frac{cos^2A}{sinA}[/tex] + [tex]\frac{sin^2A}{cosA}[/tex] - sinA ( collect like terms )

= [tex]\frac{sin^2A}{cosA}[/tex] - [tex]\frac{cos^2A}{sinA}[/tex]

= ( sinA × [tex]\frac{sinA}{cosA}[/tex] ) - ([tex]\frac{cosA}{sinA}[/tex] × cosA )

= sinAtanA - cotAcosA

= right side ⇒ proven

Answer:

Step-by-step explanation:

Given the height in feet represented by the equation H = -16t²+32t+48, at maximum height, the velocity of the water balloon is zero.

Velocity = dH/dt = 0

dH/dt = -32t+32 = 0

-32t+32 = 0

-32t = -32

t = -32/-32

t = 1sec

Substituting t = 1sec into the modeled equation of the height

H = -16t²+32t+48

H = -16(1)²+32(1)+48

H = -16+80

H = 64 feet

The maximum height of the water balloon is 64 feet

b) In order to know how long it takes to reach its maximum height, we will substitute H = 64 feet into the equation of the height.

64 = -16t²+32t+48

-16t²+32t = 16

16t²-32t+16 = 0

t²-2t+1 = 0

t²-t-t+1 = 0

t(t-1)-1(t-1) = 0

(t-1)² = 0

t-1 = 0

t = 1sec

It took the water balloon 1 sec to reach its maximum height.

Answer:44.61?

Step-by-step explanation:

Answers:

It's basically Inside, Outside, Outside, Inside. (I. O.O.I.)

Explanations:

Given

[tex]f(x)=-(x-3)(x+1)[/tex]

Distribute the (-1) to (x-3)

[tex]f(x)=(-x+3)(x+1)[/tex]

Now let's work the I. O. O. I.

Inside:

[tex](-x)(x)=-x^2[/tex]

Outside:

[tex](-x)(1)=-x[/tex]

Outside:

[tex](3)(x)=3x[/tex]

Inside:

[tex](3)(1)=3[/tex]

Add both the outsides (-x) and (3x) together

[tex]-x+3x=2x[/tex]

Your new equations is now.

[tex]f(x)=-x^2+2x-3[/tex]

Answer:

a) k = 3 b) k = 4

Step-by-step explanation:

a) 3 x 7 = 21

b) 4 x 3 = 12

Answer:

1) k=3 (2) k=4

Step-by-step explanation:

[tex]21=k\cdot \:7\quad \\\mathrm{Switch\:sides}\\k\cdot \:7=21\\\frac{k\cdot \:7}{7}=\frac{21}{7}\\k=3\\2)\\12=k\cdot \:3\\Switch\:sides\\k\cdot \:3=12\\\frac{k\cdot \:3}{3}=\frac{12}{3}\\k=4[/tex]

Answer:

Division

Step-by-step explanation:

Answer:

division

Step-by-step explanation:

when you divide you split into even groups

Answer:

Aaron;s rate for mowing lawns is 0.5 acres per hour."as1.5 acres / 3 hours = 0.5 acres an hour2.5 acres / 5 hours = 0.5 acres an hour  Option (B)

Step-by-step explanation:Aaron;s rate for mowing lawns is 0.5 acres per hour."as1.5 acres / 3 hours = 0.5 acres an hour2.5 acres / 5 hours = 0.5 acres an hour

Answer:

-9 ≤ y ≤ 5

Step-by-step explanation:

The range is all the values of y. In this case, the values of y are any number in between -9 and 5. So -9 ≤ y ≤ 5.

Answer:

x ≥ 0

Step-by-step explanation: