im
Sam needs 7 cups of orange juice to make
punch for a group of her friends. She only
has 5 cups. Write and solve an equation to
represent how many more cups of orange
juice Sam needs.

The equation of the Parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2

The vertex form of a parabola is given by:y = a(x - h)^2 + k

where (h, k) is the vertex of the parabola.

We are given that the vertex is (4, -2), so we can substitute these values in the equation to get:y = a(x - 4)^2 - 2

Now, we need to find the value of "a". To do this, we can use the fact that the y-intercept is (0, -66). Since the point (0, -66) lies on the parabola, we can substitute x = 0 and y = -66 in the equation above to get:-66 = a(0 - 4)^2 - 2

Simplifying this, we get:-66 = 16a - 2

Adding 2 to both sides, we get:-64 = 16a

Dividing both sides by 16, we get:a = -4

Substituting this value of "a" in the equation above, we get the equation of the parabola in vertex form:y = -4(x - 4)^2 - 2

Therefore, the equation of the parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2

To know more abut Parabola .

https://brainly.com/question/21414275

#SPJ11

Answer + Step-by-step explanation:

\(\frac{5^{10}}{5^{5}} =5^{10-5} = 5^5\)

\(\text{used property :} \ \ \ \frac{a^{m}}{a^{n}} =a^{m-n}\)

_______________________

\((4^8)^3 = a^{8 \times 3}=a^{24}\)

\(\text{used property :} \ \ \ (a^n)^m = a^{n \times m}\)

_______________________

\(10^{-4}=\frac{1}{10^{4}} \ \text{not} \ \frac{1}{4^{10}}\)

_______________________

15⁶ × 15³ = 15⁶⁺³ = 15⁹

_______________________

Recall : If a ≠0  ⇒ a⁰ = 1

Then

Since 6⁸ ≠ 0  ⇒ (6⁸)⁰ = 1  

The perimeter of a square is the sum of its sides and they are all equal, so to obtain the length of each of them we divide the perimeter of the first fence between 4:

\(\text{P1}= \dfrac{\text{64 feet}}{\text{4 sides}}\)

\(\text{P1}= 16 \ \text{feet}\)

Then, the length of each side of the second fence will increase 2 feet at each end, as shown in the figure. We have then that the perimeter of the second fence is:

\(\text{P2 = 20 feet} \times \text{4 sides}\)

\(\text{P2 = 80 feet}\)

The sum of the perimeters of both fences is:

\(\text{PT = P1 + P2}\)

\(\text{PT = 64 feet + 80 feet}\)

\(\text{PT = 144 feet}\)

Total cost = $1.26 x 144 feet

Total cost = $181.44

The total cost of the fences was $181.44

Assuming that Barry's balance after making monthly payments of $419.84 for 12 years is $31,019.97, he would save B. $9,284.67 in interest by paying off the loan 8 years early.

The savings in interest are determined by using an online finance calculator to compute the total interest that Barry would incur by continuing with a monthly payment of $419.84 for the next 8 years instead of paying off the balance.

The total interest represents the borrowing cost (finance charge) and the difference between cash payment and credit.

N (# of periods) = 96 months (8 years x 12)

I/Y (Interest per year) = 6.8%

PV (Present Value) = $31,019.97

PMT (Periodic Payment) = $-419.8

Results:

FV = $0

The sum of all periodic payments = $-40,304.64 ($-419.8 x 96)

Total Interest = $9,284.67

Thus, at an APR of 6.8%, compounded monthly, Barry incurs finance charges (total interest) of $9,284.67.

Learn more about compounded interest at https://brainly.com/question/24274034.

#SPJ1

Answer:

7

Step-by-step explanation:

Let's say our sum is s.

s = 10 right angles

a right angle is 90 degrees

s = 10 (90)

s= 900

Given the amount of sides in a polygon (n), the sum of the interior angles is equal to

(n-2) * 180

Therefore, the sum of the interior angles is equal to

(n-2) * 180 = 900

divide both sides by 180 to help isolate n

n-2 = 5

add 2 to both sides to isolate n

n = 7

8:3

Step-by-step explanation:

2 L = 2000 mL

2000L : 750L

8 : 3

Hope this helps you. Do mark me as brainliest

The total cost is $12.74

In this question, we have been given the cost of 1 gallon of milk, 1 gallon of ice-cream and 1 1b of strawberry.

1 gallon of milk costs $2.48,

1 gallon of ice-cream costs $1.49

and 1b of strawberry costs $0.58

You buy 3 gallons of milk, 2 gallons of ice cream, and 4 lbs of strawberries.

So by unitary method total cost would be,

(3 * 2.48) + (2 * 1.49) + (4 * 0.58) = $12.74

Therefore, the total cost is $12.74

Learn more about the Unitary method here:

https://brainly.com/question/22056199

#SPJ9

a. To create a pie chart to show the total medal winnings of the Top 10 NOCs at the Beijing 2022 Winter Olympic games:

Obtain the data for the medal winnings of the Top 10 NOCs

Calculate the total medal winnings for each NOC (i.e., the sum of gold, silver, and bronze medals)

Create a pie chart in Excel or any other software by selecting the data and choosing the pie chart option

Add a title and labels to the chart to show the NOCs and their corresponding medal winnings

b. The interpretation of the pie chart produced in Question 8a) depends on the shape and distribution of the chart. Two probable justifications for the behavior of the data are:

Dominance of certain NOCs: The pie chart may show that certain NOCs have a significantly higher share of medal winnings compared to others. This may be due to the dominance of these NOCs in specific sports or events, or due to their superior training and preparation.

Balanced distribution of medals: The pie chart may show a relatively balanced distribution of medal winnings among the Top 10 NOCs. This may indicate a high level of competitiveness and equal opportunities for success among the NOCs.

to know more about Olympic

brainly.com/question/29376067

#SPJ1

Answer:

Hank had an ERA with a z-score of 25.554

Step-by-step explanation:

d) You have a difference of squares:

49y² - 9 = (7y)² - 3²

Recall the identity,

a² - b² = (a - b) (a + b)

So,

49y² - 9 = (7y - 3) (7y + 3)

e) Pull out the common factor 3 from each term:

3x² - 3x - 90 = 3 (x² - x - 30)

Now use the sum-product method. Notice that we can write 30 = 5 • 6, and 5 - 6 = 1, so

3x² - 3x - 90 = 3 (x + 5) (x - 6)

f) Same as in (e), use the sum-product method. Notice that 42 = 7 • 6, and -7 - 6 = -13, so

x² - 13x + 42 = (x - 7) (x - 6)

#1

#2

#3

Answer:

(-1, 2) does not make the equation y=x+9 true.

Step-by-step explanation:

y=x+9

(-1, 2)=(x, y)

2=(-1)+9,

-1+9=8,

2 does not equal to 8.

Answer: No.

Answer:

y=-x+5 the y intercept is 5 and the slope is -1

Step-by-step explanation:

Answer:

use test numbers to find where the function is a positive and where it is negative. sketch the function's graph, plotting additional points as guides as negative. choose test numbers to t the left and right of each of these places, and find the value of the function at each test number.

Answer:

ok no problem

i am here to give knowledge

Answer:

60 Km / hour

Step-by-step explanation:

average speed (S) is calculated as

S = \(\frac{D}{T}\) ( D is distance and T time in hours )

here D = 180 and T = 3 , then

S = \(\frac{180}{3}\) = 60 Km / hour

The actual elements of the sequence and their indexing can vary depending on the context in which the notation is used.

The expression "\(\(\left \langle a_{\alpha : \alpha \in Ord} \right \rangle\)\)" represents a sequence or a tuple of elements indexed by the ordinal numbers.
An example of this notation could be a sequence of real numbers indexed by the ordinal numbers.

For instance, consider the sequence \(\(\left \langle a_{\alpha : \alpha \in Ord} \right \rangle\)\) where \(\(a_{\alpha}\)\) is defined as follows:
- \(a_0 = 1\)
\(- \(a_1 = 2\)\)
\(- \(a_2 = 3\)\)
\(- \(a_3 = 4\)\)
- ...
\(- \(a_{\omega} = \omega + 1\)\)
\(- \(a_{\omega + 1} = \omega + 2\)\)
\(- \(a_{\omega + 2} = \omega + 3\)\)
- ...
\(- \(a_{\omega^2} = \omega^2 + 1\)\)
\(- \(a_{\omega^2 + 1} = \omega^2 + 2\)\)
\(- \(a_{\omega^2 + 2} = \omega^2 + 3\)\)
- ...
\(- \(a_{\omega^3} = \omega^3 + 1\)\)
\(- \(a_{\omega^3 + 1} = \omega^3 + 2\)\)
- ...
In this example, the index set is the set of all ordinal numbers, and the elements of the sequence are defined based on the ordinal numbers.

The sequence starts with the natural numbers, then proceeds to the numbers obtained by adding \(\omega\) to each natural number, and so on.
For more related questions on sequence:

https://brainly.com/question/30262438

#SPJ8

Answer:

the first one is x= 6-3y or if you are going to solve with the y it will be y =2 - x/3

the second one if you are solving for x it will be x= 2/3 + y if you are solving for y it will be x = 2/3 + x

Step-by-step explanation:

hope this helps

x = 6 - 3y....... equation 1

6x -6y = 4

or, 6 (6 - 3y) - 6y = 4

or, 36 - 18y - 6y = 4

or, 36 - 24y = 4

or, 36 - 4 = 24y

or, 32/24 = y

or, 4/3 = y

Answer:

A

Step-by-step explanation:

hoped it worked

Answer:

a is the number of weeks put in with $14, "a" week is used for 206+14a, and after 8 weeks it is $318

Step-by-step explanation:

Use the equation 206+14a to help you with the problem.  The variable "a" is used for how many weeks is put in when adding $14 to Audrey's saving account.  Plug in 8 for a which multiplies 14 and adds $206 in total to get $318 after 8 weeks of adding money.

Answer:

x=36

Step-by-step explanation:

if PQR is isosceles then

PRQ will also equal 69 degrees

straight line = 180 degrees

so if PRQ is 69, then

PRS = 180-69

= 111 degrees

now to find x , since we have two angles within that triangle

180 - 111 - 33 = 36 degrees

Answer:

  (-∞, -3] or [-3, ∞)

Step-by-step explanation:

You want the largest domain interval(s) on which the function shown in the graph could be one-to-one.

A one-to-one function must pass the horizontal line test. That is, no horizontal line can intersect its graph in more than one place.

For that to be true of the given function, the interval on which it is defined cannot include values on both sides of x=-3, where the graph has a minimum. That is, the domain must be either x ≤ -3, or x ≥ -3, (or some subset of either of these).

The largest intervals on which the function has an inverse are ...

  (-∞, -3]  or  [-3, ∞)

<95141404393>

To make the given function one-to-one and have an inverse, we can restrict its domain to (-∞, a) or (a, ∞), where 'a' is the x-coordinate of the highest or lowest point on the graph.

To make the given function one-to-one and have an inverse, we need to restrict its domain. The largest domains, in interval notation, that can be used are: (-∞, a) or (a, ∞) where 'a' is the x-coordinate of the highest or the lowest point on the graph, depending on the function type.

If the graph has a highest point, the domain is restricted to (a, ∞), where 'a' is the x-coordinate of the highest point. If the graph has a lowest point, the domain is restricted to (-∞, a), where 'a' is the x-coordinate of the lowest point.

For example, if the graph has a highest point at (3, 5), the domain would be restricted to (3, ∞) to make the function one-to-one and have an inverse.

https://brainly.com/question/32491116

#SPJ2

The completed statement with regards to the area of the square and the rectangle are;

The estimated value of the length of the shaded square is 5·√5 inches. The estimated value of the area of the unshaded rectangle is 175 square inches.

The area of a square is the product of the side lengths which are congruent, therefore;

Area of a square = Side length, s × Side length, s = s²

The possible figure in the question includes;

A shaded square that is 125 square inches

An adjacent unshaded rectangle, that share a side with the square that has a side length of 7·√5 inches

Please find attached the possible drawing of the figure in the question, (not drawn to scale) obtained from a similar question posted online, created with MS Word.

Therefore;

The side length of the square = √(125) inches =  5·√5 inches

The estimated value of the side length of the square is; 5·√5 inches

The area of a rectangle = Length × Width

The length of the rectangle = 7·√5 inches

The width of the rectangle = 5·√5 inches

Therefore;

The area of the unshaded rectangle, therefore is; 5·√5 × 7·√5 = 175

The estimated area of the unshaded rectangle is 175 square inches

Learn more on the area of a rectangle here: https://brainly.com/question/26303775

#SPJ1

Answer:

I believe its c. I took the quiz and tears what it was on mine. good luck

There are a total of 3 forwards on the team.

A fraction represents a part of the whole or group of objects.In a fraction, numerator and denominator are separated by a horizontal bar known as the fractional bar

Given:

2/8 of the players are forwards.

Total number of players on the team = 12

We will determine the total number of forwards on the team by multiplying the total number of players by the fraction representing the forwards.

Fraction representing the forwards:

= 2/8

= 1/4

Total forwards on the team:

= 12 * (1/4)

= 3.

Translated question:

Of the 12 players on the team, 2/8 are forwards. What are the total forward in the team?

Read more about fraction

brainly.com/question/17220365

#SPJ1

The solution to the system of equations is x = 1 and y = -3.

To solve the system of equations using the substitution or elimination method, let's start with the substitution method.

Given equations:

y = 4x - 7

4x + 2y = -2

We'll solve equation 1) for y and substitute it into equation 2):

Substituting y from equation 1) into equation 2):

4x + 2(4x - 7) = -2

4x + 8x - 14 = -2

12x - 14 = -2

Now, we'll solve this equation for x:

12x = -2 + 14

12x = 12

x = 12/12

x = 1

Now that we have the value of x, we can substitute it back into equation 1) to find y:

y = 4(1) - 7

y = 4 - 7

y = -3

Therefore, the solution to the system of equations is x = 1 and y = -3.

for such more question on system of equations

https://brainly.com/question/4262258

#SPJ8

If you're looking for x, then:

2 = |x|-1

lxl-1 = 2

lxl-1+1=2+1

lxl=3

so x = -3, x=3

The value of x is 2.

Triangles are one of the most basic shapes in geometry and have a wide range of applications in mathematics, science, and engineering.

The three sides of a triangle are called edges, and the three angles are called vertices. Triangles can be classified based on the lengths of their sides and the measures of their angles.

Since DE is parallel to AC, we can use the intercept theorem to relate the lengths of the corresponding sides of triangles ABD and CBE.

In triangle ABD and CBE, we have:

AD/CE = AB/BC

Substituting the given values, we get:

2/1 = (x+2)/4

Cross-multiplying, we get:

8 = 2(x+2)

Simplifying, we get:

x+2 = 4

x = 2

Therefore, the value of DB is 2.

To know more about intercept visit:

https://brainly.com/question/14180189

#SPJ1

Answer:

Method 1: factors of 72: 1, 2, 3, 4, 6, 8, 12, 24, 9, 18, 36, 72 factors of 48: 1, 2, 3, 4, 6, 8, 12, 24, 16, 48 Therefore, the greatest common factor of 48 and 72 is 24.

Answer:

(x-4)^2 + (y-4)^2 = 49

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 + (y-k)^2 = r^2  where ( h,k) is the center and r is the radius

(x-4)^2 + (y-4)^2 = 7^2

(x-4)^2 + (y-4)^2 = 49