Can someone please answer this

Answers

Answer 1

Answer: $100\ ft\approx0.3\ m\n 0.3=-16t^2+100\n 16t^2=99.7\n t^2\approx6.23\n t\approx-2.5 \vee t\approx2.5 \Rightarrow B$

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The students in Ms. Chang's class decide to order water bottles that advertise the walkathon. Hyun obtains two different quotes for the costs of the bottles. a. For each company, write an equation Hyun could use to calculate the cost for any number of bottles b. On the same set of axes, graph both equations from part (a). Which variable is the independent variable? Which is the dependent variable? C. From which company do you think the class should buy water bottles? What factors influenced your decision? d. For what number of water bottles is the cost the same for both companies? Explain.

Answers

The students' order of water bottle is an illustration of linear equation

The equations are y = 54x and y = 525 + 53x
The class should buy water bottles from Fill it Up Inc
525 water bottles costs the same for both companies

The equation for the cost of bottle

For Fill it Up Inc, we have:

Cost = $54 per bottle

For Bottles by Bob, Co, we have:

Set-up fee = $525

Cost = $53 per bottle

So, the equations are:

Fill it Up Inc: y = 54x
Bottles by Bob: y = 525 + 53x

The number of bottle (x) represents the independent variable, while the total cost (y) represents the dependent variable

The graph

See attachment for graphs

The class decision

The class should buy water bottles from Fill it Up Inc, because Fill it Up Inc do not charge set-up fee, and the company's rate per bottle is just a little above Bottles by Bob

The number of bottle at equal cost

In (a), we have:

y = 54x and y = 525 + 53x

Substitute 54x for y in the second equation

54x = 525 + 53x

Subtract 53x from both sides

x = 525

Hence, water 525 water bottles costs the same for both companies

Read more about linear equations at:

brainly.com/question/14323743

Identify the domain and range of the function graphed below.

Domain:
Range:

Answers

Answer:

The domain is $x\leq 4$

The range is $y\geq 0$

Step-by-step explanation:

we know that

The domain of the function graphed is the interval------> (-∞,4]

$x\leq 4$ -----> All real numbers less than or equal to $4$

The range of the function graphed is the interval------> [0,∞)

$y\geq 0$ -----> All real numbers greater than or equal to $0$

The domain of the function is the interval $\boxed{\left( { - \infty ,4} \right]}$ and the range of the function is the interval $\boxed{\left[ {0,\infty } \right)}$ .

Further explanation:

Domain

The domain of the function is the set of all input values for the function that all are independent variables.

The values from domain of the function represent on the $x$ axis of the graph.

The domain is the set of real numbers that is defined on the function.

It can be seen from the given graph that the function does not provide any output values for $x > 4$ .

Therefore, the domain for the function is $x \leqslant 4$ .

Thus, the domain of the function is the interval $\left( { - \infty ,4} \right]$ that means all the real number less than or equal to 4.

Range:

The range of the function is the set of all output value of the function.

The range of the function is the subset of the co-domain.

The elements of the range represents on the $y$ axis and these all are dependent values.

It can be seen from the given figure that the graph of the function is only shown above the $y$ axis that means the output values of the function is only positive real numbers.

Therefore, the range of the function is all real numbers greater than or equal to 0.

Thus, the range of the function is the interval $\left[ {0,\infty } \right)$ .

Learn more:

Learn more about the composition of the function brainly.com/question/2725608
Learn more about the inverse of the function brainly.com/question/1632445
Learn more about graph of the trigonometric function brainly.com/question/1388658

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Function

Keywords: Function, domain, range, graph, elements, greater equal, small, subset, set, dependent, variable, value, independent, output, input values.

Which statement explains one way that ponds and lakes differ?Ponds are shallower than lakes.

Ponds are larger than lakes.

Pond water moves more than lake water.

Lakes have more plants at the bottom than ponds.

Answers

The statement that explains one way that ponds and lakes differ is: Ponds are shallower than lakes.

Ponds and Lakes

The major difference between ponds and lakes are ponds are :

Pond are depth or shallower and smaller than lakes while lakes are larger or bigger.

Lakes are more deeper compare to ponds which inturn means that ponds are not deeper than lakes.

Inconclusion the statement that explains one way that ponds and lakes differ is: Ponds are shallower than lakes.

Learn more about ponds and lakes here:brainly.com/question/131190

Answer:

Ponds are shallower than lakes.

Step-by-step explanation:

Please help me answer this question

Answers

Answer:

x = 90 degrees and y = 43 degrees

Step-by-step explanation:

We have an isosceles triangle here, since the length of AB equals the length of AC.

That also means that angle ABC equals angle ACD = 47 degrees.

The sum of the interior angles of a triangle equals 180.

47 + 47 + 2y = 180

94 + 2y = 180

2y = 86

y = 43 degrees

x + 43 + 47 = 180

x + 90 = 180

x = 90

Which relation is a direct variation that contains the ordered pair (2, 7)?

Answers

Choices:
y=4x-1
y=2/7x
y=7/2x
y=7/x

(2,7) ⇒ x = 2 ; y = 7
y = 4x - 1 ⇒ y = 4(2) - 1 ; y = 8 - 1 ; y = 7
y = 2/7x ⇒ y = 2/7(2) ; y = 2/14 ; y = 1/7
y = 7/2x ⇒ y = 7/2(2) ; y = 7/4 ; y = 1 3/4
y = 7/x ⇒ y = 7/2 ; y = 3 1/2

Among the choices, only y = 4x - 1 is the direct variation that contains the ordered pair (2,7)

The direct relation that is a direct variation that contains the ordered pair (2, 7) is; y = (7/2)x