Miss Guydan and her friend Alyssa are collecting food for the local food bank. Their goal is to collect 2100 pounds of food. They start with 400 pounds of food donated by a local grocery store. Their goal is to collect 25 pounds of food per day. Write an equation that represent this situation. Define your variables.

Answer:

C.  19

Step-by-step explanation:

Given inequalities:

An integral value refers to a value that is a whole number, either positive, negative, or zero.

The greatest possible integral value of b - a is when b is its greatest value and a is its smallest value.

The greatest value of b is 12.

The smallest value of a is -7.

Therefore:

\(\begin{aligned}b-a&=12-(-7)\\&=12+7\\&=19\end{aligned}\)

So the greatest possible integral value of b - a is 19.

Answer:

-3

Step-by-step explanation:

f(x)=-3x^2

f(-1)=3(-1)^2

=-3

Answer:

-3

Step-by-step explanation:

f(x) = -3x^2

Let x = -1

f(-1) = -3 ( -1) ^2

      = -3 ( 1)

      = -3

Based on the context of the problem, the range of the exponential function y = \(45,529(0.78)^x\) is y > 0.

The exponential function for depreciation given in the problem is:

y = 45,529(0.78)^x

This function gives us the value of Sharlene's truck in dollars after x months of ownership, assuming that the depreciation follows a constant rate and is modeled by an exponential function.

To find the range of the function, we need to consider the minimum value that y can take. Since depreciation leads to a decrease in value over time, y should always be greater than zero. In other words, the range of the function is:

y > 0

In practical terms, this means that Sharlene's truck will always have some positive value, even if its market value has decreased due to depreciation. In other words, a truck is never worth zero or less than zero (unless it has additional debts associated with it), and Sharlene's truck will always have some resale or scrap value even if it has depreciated significantly.

For such more questions on exponential

https://brainly.com/question/30127596

#SPJ8

Answer:

c) 74.052 in Expanded form with decimal form =

7 × 10 + 4 × 1 + 0 × 0.1 + 5 × 0.01 + 2 × 0.001

b) 74.052 in Expanded form with fractions =

7 × 10 + 4 × 1 + 0 × 1/10 + 5 × 1/100 + 2 × 1/1000

Step-by-step explanation:

We are given the number 74.052

The place value of each of the numbers is given as follows:

7 = Tens

4 = units

0 = Tenth

5 = Hundredth

2 = Thousandth

We are asked to write 74.052 in Expanded form of Decimals and fractions.

74.052 in Expanded form with decimal form =

7 × 10 + 4 × 1 + 0 × 0.1 + 5 × 0.01 + 2 × 0.001

74.052 in Expanded form with fractions =

7 × 10 + 4 × 1 + 0 × 1/10 + 5 × 1/100 + 2 × 1/1000

Here, we are required to write the number 74.052 in expanded form using fractions and decimals to express the decimal place value units.

The answer in fractions is;

(7×10) + (4×1) + (0×1/10) + (5×1/100) + ( 2× 1/1000)

The answer in decimal form is;

(7×10) + (4×1) + (0×0.1) + (5×0.01) + ( 2× 0.001).

From the number:

(a) Therefore, to write the number in expanded form using fractions;

(7×10) + (4×1) + (0×1/10) + (5×1/100) + ( 2× 1/1000)

(b) Therefore, to write the number in expanded form using decimals;

(7×10) + (4×1) + (0×0.1) + (5×0.01) + ( 2× 0.001).

Read more:

https://brainly.com/question/23159201

Answer:

Below

Step-by-step explanation:

Radians =  degrees * pi /180

Radians * 180/pi   =  degrees

Answer:

6 whole packages as the other half can't be count

Step-by-step explanation:

If K is the midpoint of JL, and (JL = 48), then (JK = KL = 24) and (a = 88).

As per the question statement, K is the midpoint of JL, and (JL = 48).

We are required to calculate the values of JK and KL and, also the value of "a" if [KL = (a - 24)].

Since, K is the midpoint of JL, then K divides JL into two equal line segments, JK and KL.

Therefore, lengths of JK and KL will be \(\frac{JL}{2}=\frac{48}{2}=24\), i.e., (JK = KL = 24).

Also, since [KL = (a - 24)],

\(24 = (a -24)\\or, a = [24-(-24)]\\or,a = (24+24)\\or,a = 88\)

To learn more about  Midpoint of a Line Segment, click on the link below.

https://brainly.com/question/28224145

#SPJ9

Answer:

choice 2

Step-by-step explanation:

the best choice for the baby pool is choice 2 because they need a pool that hold less than 15 cubic feet water and choice 2 when i calculate the volume of the given number : 4ft*3ft*1=12 cubic feet which is less than 15 cubic feet.

the other choices show that the volume  of choice 1 : 5ft*5ft*1=25 cubic feet which is greater than what they ask for.

choice 3 : 4ft*4ft*2ft=16 cubic feet greater than 15 cubic feet

Step-by-step explanation:

is 36 hello my name is santiago i am fron Colombia

Answer: vertical angles

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

78 - 6 = 72 (Since the number falls short by six)

72 ÷ 9 = 8 (Number times 9 that equals 72)

For the curve \(x^{2} +xy+y^{2} = 27\) , the line tangents to the curve at the x intercepts of the curve are parallel .

The Slope of tangent line to a function at any point is denoted by \(\frac{dy}{dx}\) .

The Curve is given as ⇒\(x^{2} +xy+y^{2} = 27\) ;

On differentiating both sides of the curve with respect to "x"  ,

we get ;

the slope of the line as ⇒ \(Slope = \frac{dy}{dx} = -\frac{2x+y}{x+2y}\) ;

Now for the  x- intercepts , the value \(y = 0 ,\)

On substituting \(y=0\) in the curve \(x^{2} +xy+y^{2} = 27\) ,

we get ;

\(x^{2} +x(0)+0^{2} =27\)

On simplifying further ,

we get ;

\(x=\pm 3\sqrt{3}\) ;

So , the two x intercepts of the curve are \((3\sqrt{3},0)\) and \((-3\sqrt{3},0)\) ;

to find the slopes , we substitute the values in the slope equation .

On substituting the values in the slope equation ,

we get ;

\(Slope_{(3\sqrt{3} ,0)} = -\frac{2(3\sqrt{3}) +9}{3\sqrt{3} +2(0)}\) = \(-2\)  and

\(Slope_{(-3\sqrt{3} ,0)} = -\frac{2(-3\sqrt{3}) +9}{-3\sqrt{3} +2(0)}\) = \(-2\).

we see that the slope at both the intercepts is same ,

Therefore , the lines tangents of the curve at the x intercepts are parallel .

The given question is incomplete , the complete question is

Consider the curve defined by \(x^{2} +xy+y^{2} = 27\) . Determine whether the lines tangent to the curve at the x - intercept of the curve are parallel .

Learn more about Tangent Line here

https://brainly.com/question/2253861

#SPJ4

Answer:

Step-by-step explanation:

Start off by explaining that u know this(don't use these exact word though :A composite number is a positive integer that can be formed by multiplying two smaller positive integers Equivalently. A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.... I couldn't really see the whole page so this is what i could get for u.... Good luck

Answer:

\( \frac{7}{24} \)

Step-by-step explanation:

\( \frac{1}{4} < x < \frac{1}{3} \)

\( \frac{3}{12} < x < \frac{4}{12} \)

Let x = 3.5/12 = 7/24.

Answer:

34

Step-by-step explanation:

Answer:

90 degree angle

Step-by-step explanation:

Answer: Best Bargains will give a better deal at $16.50 per game.

Step-by-step explanation:

You did not mention the number of games GameWorld was selling for $68.00 and that number is 4.

GameWorld is selling 4 games for $68.00. They are therefore selling one game for:

= 68/4

= $17.00 per game

Best Bargains is selling 6 video games for $99. Each game is:

= 99/6

= $16.50 per games

Best Bargains will give a better deal at $16.50 per game.

ANSWER

EXPLANATION

We want to find the value of x that makes l₁ parallel to l₂.

To find the value of x, we can use the sum of angles on a straight line. The sum of angles on a straight line is 180 degrees.

The transversal passes through l₂ and divides it into x and 65 degrees which means that:

Solve for x:

That is the value of x.

Answer:

\(4x + 3 = 6x - 53 \\ 6x - 4x = 3 + 53 \\ 2x = 56 \\ x = \frac{56}{2} = 28\)

Answer:

8748

Step-by-step explanation:

The formula for the nth term in a geometric sequence is ar^n-1.

We can find the first term, as a(3)^4-1 = 108 which also means that 27a = 108.

a = 4.

We find the 8th term using this:

(4)(3)^8-1 = (4)(3)^7 = 8748.

The required cost of 34 inches of wire as per the cost of 23 inches of wire is 92 cents is equals to 136 cents.

Let x be the cost (in cents) of 34 inches of wire.

We know that 23 inches of wire costs 92 cents,

Use a proportion to solve this problem,

23 inches / 92 cents = 34 inches / x cents

To solve for x, apply cross-multiply and simplify,

⇒ 23 inches × x cents = 92 cents × 34 inches

⇒ 23x = 3128

⇒ x = 3128/23

⇒ x ≈ 136.00 cents

Therefore, the cost of 34 inches of wire will be approximately 136 cents.

learn more about wire here

brainly.com/question/17922153

#SPJ4

It's important to know that the sum of two opposite numbers is zero because opposite numbers have the same absolute value but opposite sign, for example, 2 and -2 are opposite numbers.

The correct number line must have its final position on zero.

Notice that the number line A shows -5 as the initial number and then goes back 5 units to zero.

Answer:

It's a tie!

Step-by-step explanation:

The reason it was a tie is because

56/98 = 0.57 meaning that 57% of Restaurant A won

84/147 = 0.57 meaning that 57% of Restaurant B also won!

The expressions (a) 3 / -0 and (c) 3 / 0 are undefined.

To determine which of the following expressions are undefined, let's analyze each expression:

a. 3 / -0:

Division by zero is undefined in mathematics. Therefore, the expression 3 / -0 is undefined.

b. 0 / 3:

This expression represents the division of zero by a non-zero number. In mathematics, dividing zero by a non-zero number is defined and yields the value of zero. Thus, the expression 0 / 3 is defined.

c. 3 / 0:

Similar to expression (a), division by zero is undefined in mathematics. Therefore, the expression 3 / 0 is also undefined.

In conclusion, the expressions that are undefined are (a) 3 / -0 and (c) 3 / 0.

for such more question on expression

https://brainly.com/question/4344214

#SPJ8

Answer:

Brainliest Answer?

( 7 / 8 ) seconds

( 77 / 4 ) feet

Step-by-step explanation:

The question is a bit confusing but I will do it both ways. I will assume that you made a mistake copying over the function because the graph s( t ) is linear. Linear functions have a maximum value of infinity because it is an odd-degree polynomial.

Assume that s( t ) = - 16t² + 28t + 7;

The equation forms an upside-down parabola which means it has a maximum value.

Complete the square to get the axis of symmetry and the maximum value of the parabola or use my very cool formula. The variables h and k represent the axis and max respectively.

ax² + bx + c = a( x - h )² + k;

ax² + bx + c = a( x - ( - b / 2a ) )² + c - ( b² / 4a );

ax² + bx + c;

Take a as a factor.

a( x² + ( b / a )x + ( c / a ) );

Add and subtract the square of ( 1 / 2 ) of ( b / a ). This is called completing the square because it forms a perfect square trinomial.

a( x² + ( b / a )x + ( b / 2a )²  - ( b / 2a )² + ( c / a ) );

Factorise the trinomial.

a( ( x + ( b / 2a ) )² - ( b / 2a )² + ( c / a ) );

Use the distributive property of multiplication.

a( x + ( b / 2a )² + a( ( c / a ) - ( b / 2a )² );

a( x + ( b / 2a )² +  a( ( c / a ) - ( b² / 4a² ) );

Simplify the fractions.

a( x + ( b / 2a )² + c - ( b² / 4a );

Substitute the values.

- 16( t - ( - 28 / 2( - 16 ) )² + 7 - ( ( 28 )² / 4( - 16 ) );

Time is the x-axis so we need to solve for the axis of symmetry.

h = ( - 28 / 2( - 16 ) );

h = ( - 28 / - 32 );

Simplify the fraction.

h = ( 7 / 8 );

Maximum height is the parabola's y of the vertex.

k = 7 - ( ( 28 )² / 4( - 16 ) );

k = 7 - ( ( 28 )( 28 ) / - 64 );

k = 7 - ( 784 / - 64 );

k = 7 - ( - 49 / 4 );

k = ( 28 / 4 ) + ( 49 / 4 );

k =  77 / 4;

The median is the least appropriate measure of central tendency for a data set that contains outliers .

What does math's median mean?

When a data set's median value is used, 50% of the data points in the collection have values that are lower or equal to the median and 50% of them have values that are higher or equal to the median.

                                      When working with a small data collection, you must first count the number of data points (n) and organize them in ascending order.

What is the average succinct response?

The middle number, or median, is obtained by sorting all of the data points and choosing the center one (or if there are two middle numbers, taking the mean of those two numbers).

Learn more about The median

brainly.com/question/28060453

#SPJ4

The complete question is -

Generally, which one of the following is the least appropriate measure of central tendency for a data set that contains outliers? a. mean b. median c. 2nd quartile d. 50th percentile

Answer:

No

Step-by-step explanation:

Answer:

Why... Um... ok

Step-by-step explanation: