Lucas is having yogurt and an apple for a snack. There are five containers of yogurt in the refrigerator three
are raspberry, one is vanilla, and one is peach. There are also two green apples and three red apples.

If he reaches into the refrigerator to get a yogurt without looking, what is the probability that Lucas wis
choose a raspberry yogurt?

Answer:

  see attached

Step-by-step explanation:

The equation is in the form ...

  4p(y -k) = (x -h)^2 . . . . . (h, k) is the vertex; p is the focus-vertex distance

Comparing this to your equation, we see ...

  p = 4, (h, k) = (3, 4)

p > 0, so the parabola opens upward. The vertex is on the axis of symmetry. That axis has the equation x=x-coordinate of vertex. This tells you ...

  vertex: (3, 4)

  axis of symmetry: x = 3

  focus: (3, 8) . . . . . 4 units up from vertex

  directrix: y = 0 . . . horizontal line 4 units down from vertex

Answer:

-1, 3, 7, 11

Step-by-step explanation:

First, let's find term 1. To find this term, we need to replace n with 1 - what is 4(1) - 5? Well, that's just 4 - 5, or -1. So, our first term is -1. Next, we'll find our second term. To do this, we'll replace n with 2. 4(2) = 8, and then 8 - 5 is equal to 3, so our second term is 3. Let's now find the third term by replacing n with the number 3. 4(3) - 5 is equal to 12 - 5, or 7. So, 7 is our third term. Finally, we'll find the fourth term. 4(4) is equal to 16, and 16 - 5 is equal to 11. So, the fourth and final term is equal to 11.

Hopefully that's helpful! :)

Step-by-step explanation:

Term 1: - 1

Term 2: 3

Term 3: 7

Term 4: 11

The rule is, where you see n, substitute with the position/term requested

First 4 terms are: - 1,3,7, 11

Answer:

A, D, G, H

Step-by-step explanation:

Look at the pink(or purple) lines. R and F both have 4 lines, so they're congruent. S and G both have 1 line, so those are congruent too.

-hope it helps

Answer:

1st option: ∠S ≅ ∠G

4th option: ∠T ≅ ∠H

7th option: ∠Q ≅ ∠E

8th option: ∠R ≅ ∠F

Step-by-step explanation:

Side lengths are unnecessary you just look at those loop things. Angles with the same number of "loops" are congruent like how ∠Q and ∠E both have 3 "loops", this means those angles are congruent.

Answer:

answer is ‐10

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

5 feet + 12 inches = 2 yards

Therefore

5 feet + 12 inches = yard(2)

I solving for (s)

hope that helps

Answer:

-2 12

-1 7

0 2

1 -3

2 -8

Step-by-step explanation:

[] With the function f(x)=2−5x we can tell that we will plug x into the equation without doing anything to it (x)

-2 ___

f(-2) = 2−5x

f(-2) = 2−5(-2)

f(-2) = 2 + 10

f(-2) = 12

-1 ___

f(-1) = 2−5x

f(-1) = 2−5(-1)

f(-1) = 2 + 5

f(-1) = 7

0 ___

f(0) = 2−5x

f(0) = 2−5(0)

f(0) = 2

1 ___

f(1) = 2−5x

f(1) = 2−5(1)

f(1) = 2 - 5

f(1) = -3

2 ___

f(2) = 2−5x

f(2) = 2−5(2)

f(2) = 2−5(2)

f(2) = 2−10

f(2) = -8

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

The perimeter is the distance all round,

Step-by-step explanation:

perimeter of a rectangle is gotten by the formula

P=2(L+W)

2(35+25)=120m

The wire covers the distance all round

so we use 120m×2=240m

Answer:

1/4

Step-by-step explanation:

1/4 because it is one piece out of the four cuts. if it were yellow, than it would be 2/4, or 1/2

Answer:

176

Step-by-step explanation:

15² - 7² = (15+7)*(15-7) = 22*8 = 176

check: 225 - 49 = 176

Answer:

[tex]C. x = \frac{81}{4} = 20.25[/tex]

Step-by-step explanation:

[tex]\frac{1}{4}\left(4x+15\right)=24[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}4[/tex]

[tex]4\cdot \frac{1}{4}\left(4x+15\right)=24\cdot \:4[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]4x+15=96[/tex]

[tex]\mathrm{Subtract\:}15\mathrm{\:from\:both\:sides}[/tex]

[tex]4x+15-15=96-15[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]4x=81[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}4[/tex]

[tex]\frac{4x}{4}=\frac{81}{4}[/tex]

[tex]Simplify[/tex]

[tex]x=\frac{81}{4}[/tex]

Answer:

8.52

Step-by-step explanation:

9.8 divided by 1.15 = 8.52

Step-by-step explanation:

False, the moon weight is 1/6 of Earth weight. Let y our Earth weight, and let x be our moon weight. We can write this as y=6x.

Answer:

1000

Step-by-step explanation:

Answer: 1000, hope it helps.

Step-by-step explanation:

Amount Lucy will be paying in interest will be $38,596.2  

Using the compound amount formula to get the amount after she will pay back after 20 years expressed as:

[tex]A =P(1+\frac{r}{n} )^{nt}[/tex]

Substitute the parameters into the formula;

[tex]A=73,250(1+\frac{0.0315}{12} )^{20(12)}\\A= $73,250 (1.8761)\\A= \$137,421.49[/tex]

If Excel calculates the monthly payment to be $411.77, the amount paid for 20 years will be $411.77 * 240months = $98,824.8

Amount Lucy will be paying interest will be $137,421- $98,824.8 = $38,596.2  

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

Answer:

-13x. (I think)

Step-by-step explanation:

Answer:

$8   16    24     32   40     48      56      64   72      80

---------------------------------------------------------------------------

4     8     12     16    20     24     28     32     36     40

Step-by-step explanation:

Multiply 400 by 8% and add it to 400:

400 x 0.08 = 32

400 + 32 = 432

Answer: $432

Answer:

1) 3:8

2)5:7

3)4:5

4)1:3

5)2:3

6)11:18

Answer:

5 feet + 12 inches = 2 yards

48 inches = 1 foot + 1 yard

5 feet = 3 feet + 24 inches

Step-by-step explanation:

To help solve these equations, you must know how to convert feet to inches, inches to yards, etc. Use the information below:

1 feet = 12 inches

3 feet = 1 yard

To solve 5 feet + 12 inches = blank yard(s), convert 5 feet & 12 inches to yards. Since 5 feet would be complicated to convert, let's convert 12 inches to feet first.

12 inches = 1 feet

Instead of 12 inches, we can substitute it as 5 feet + 1 feet = blank yard(s). That would be 6 feet = ? yards. 3 feet = 1 yard, which tells us we must divide both sides by 3. Thus, 5 feet + 12 inches = 2 yards.

Blank inches = 1 foot + 1 yard

To find the # of inches in a yard, you must first know that 3 feet = 1 yard. If there are 12 inches in a foot, we must multiply 3 by 12, getting us 36. You add 12 inches (1 foot), getting us 48 inches in total. Thus 48 inches = 1 foot + 1 yard.

Blank feet = 3 feet + 24 inches

Since 3 feet is already feet, we do not need to convert it. If 12 inches is 1 foot, we must divide 24 inches by 12. So, there is 2 feet in 24 inches. 2 + 3 is 5. Thus, 5 feet = 3 feet +24 inches.

Answer:

1,2,4,5,8,10,20,40

Step-by-step explanation:

Have a nice day

Answer:

B. (0,-1)

Step-by-step explanation:

see.. i'm not rude.... :/

Answer:

Step-by-step explanation:

The tenure of an FD can vary from 7, 15 or 45 days to 1.5 years and can be as high as 10 years. These investments are safer than Post Office Schemes as they are covered by the Deposit Insurance and Credit Guarantee Corporation (DICGC).

The length of FD in a right-angled triangle with EC as 18 units and CF as 26 units is 20.2 units.

The length of FD can be found using the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is FD, and the other two sides are EC and CF.

EC = 18 units

CF = 26 units

Plugging these values into the Pythagorean Theorem, we get:

[tex]FD^2[/tex] = [tex]EC^2[/tex] + [tex]CF^2[/tex]

[tex]FD^2[/tex] = [tex]18^2[/tex] + [tex]26^2[/tex]

[tex]FD^2[/tex] = 324 + 676

[tex]FD^2[/tex] = 1000

FD = [tex]\sqrt{[/tex](1000)

FD = 10 * [tex]\sqrt{[/tex](10)

FD = 20.2 units

Therefore, the length of FD is 20.2 units.

To learn more about length here:

https://brainly.com/question/32060888

#SPJ2

Correct Question:

In a right-angled triangle with EC as 18 units and CF as 26 units, what is the length of FD.

Let the height be x

[tex]\\ \sf\longmapsto \dfrac{8}{12}=\dfrac{22}{x}[/tex]

[tex]\\ \sf\longmapsto 12x=22(8)[/tex]

[tex]\\ \sf\longmapsto 12x=176[/tex]

[tex]\\ \sf\longmapsto x=14.7units[/tex]

Step-by-step explanation:

8/12 = 22/x

x • 12 = 22 • 8

12x = 176

x = 14.7units (C.)

Answer:

It is B

Step-by-step explanation:

[tex]\dfrac 25 (d-10) - \dfrac 23(d+6)\\\\\\=\dfrac{6}{15} (d-10) - \dfrac{10}{15} (d+6)\\\\\\=\dfrac{6(d-10) -10(d+6)}{15}\\\\\\=\dfrac{6d -60-10d-60}{15}\\\\\\=\dfrac{-4d-120}{15}\\\\\\=-\dfrac{4d}{15} - 8[/tex]

Step-by-step explanation:

in the first object:

force = mass × acceleration = 2 × 14 = 28 N

in the second object :

force = mass × acceleration

28=mass×4

then the mass = 28/4 = 7 kg