Solve the math word problem. A toaster has 4 slots for bread. Once the toaster is warmed up, it takes 35 seconds to make 4 slices of toast, 70 seconds to make 8 slices, and 105 seconds to make 10 slices. How long do you think it will take to make 20 slices?

The second telephone pole is 72 feet tall. Since the ratio of the height of the first telephone pole to the length of its shadow is 24/6 = 4.

We can use this ratio to find the height of the second telephone pole.

If the second telephone pole casts a shadow of 18 feet at the same time of day, we can set up the following proportion:

height of second pole / length of shadow of second pole = height of first pole / length of shadow of first pole

Letting x be the height of the second pole, we can plug in the values we know and solve for x:

x / 18 = 24 / 6

Multiplying both sides by 18, we get:

x = 72

Therefore, the second telephone pole is 72 feet tall.

The answer is (e) 72.

Learn more about mathematics here: brainly.com/question/24600056
#SPJ4

Complete question:

On a level field a telephone pole 24 feet tall casts a shadow 6 feet long. At the same time of day, another nearby telephone pole casts a shadow 18 feel long. How many feet tall is the second telephone pole?.

a. 6

b. 12

c. 24

d. 36

e. 72

Answer: 32.= m2 :62;24

Step-by-step explanation: that is the answer to this quitoon

The value of y if c(y) = 9 is y = -7/3

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

The equation is given as:

c(y) = -6y - 5

When c(y) equals 9.

We have:

-6y - 5 = 9

Add 5 to both sides

-6y = 14

Divide both sides by -6

y = -7/3

Hence, the value of y if c(y) = 9 is y = -7/3

Read more about linear equations at:

https://brainly.com/question/14323743

#SPJ1

Answer:

The first one is a function of x. The graph with a straight line up and down (vertical).

Step-by-step explanation:

It is important to note that sharing or requesting specific keys or answers to educational materials, including guided notes, would be considered unethical and potentially a violation of academic integrity.

Guided notes are intended to assist students in actively engaging with course material and enhancing their learning experience. It is recommended that you approach your teacher or instructor for any clarification or additional resources you may need to fully understand the content.

They are in the best position to provide you with the necessary guidance and support.

Instead of seeking shortcuts or unauthorized access to answers, it is more beneficial to invest time and effort in studying, asking questions, and actively participating in your educational journey.

This approach will not only help you grasp the subject matter more effectively but also promote personal growth and knowledge development.

For more such questions materials,click on

https://brainly.com/question/19626626

#SPJ8

The  quotient of 302 ÷ (9.1 x \(10^4)\) in scientific notation is approximately 3.31868131868 x \(10^1\)

Dividing 302 by 9.1 gives:

302 ÷ 9.1 ≈ 33.1868131868

Now, to express this result in scientific notation, we need to move the decimal point to the appropriate position to create a number between 1 and 10. In this case, we move the decimal point two places to the left:

33.1868131868 ≈ 3.31868131868 x\(10^1\)

Therefore, the quotient of 302 ÷ (9.1 x \(10^4\)) in scientific notation is approximately 3.31868131868 x\(10^1\)

Learn more about quotient at https://brainly.com/question/11995925

#SPJ1

In the given graph, it is visible that Sia is swinging from a chandelier. The horizontal distance between Sia and the wall, in meters, is modeled by D(t) where t is the time in seconds. The function is graphed below, along with one segment highlighted.

For such more question on velocity

https://brainly.com/question/80295

#SPJ8

Result of answering the question, we may state that by unitary method The occurrence that more than 60 books are novels is a complement to the event that at most 60 books are novels.

The unit process is a strategy for addressing issues that entails first figuring out the worth of a single component, then multiplication that value to figure out the needed value. Simply expressed, the unit method is utilized to derive a minimum unit value from with a multiple that is provided. For example, 40 pens might cost 400 rupees, which is equal to the cost of one pen. This procedure could follow a regular procedure. a single nation. a. a. a....... Its adjoint and equal are equal in terms of mathematics, algebra, linear algebra, mathematical, or math and science of matrices or operators.

Less than 140 novels are the counterpart to the occasion when more than 60 books are novels.

The event less than or equal to 59 books are novels is the complement of the event at least 60 books are novels.

The event greater than or equal to 60 books are novels is the counterpart of the event fewer than 60 books are novels.

The occurrence that more than 60 books are novels is a complement to the event that at most 60 books are novels.

To know more about unitary method  visit:

https://brainly.com/question/28276953

#SPJ1

Answer:

x=1 or x=-3 ilike

Step-by-step explanation:

subtract -x-4 from both sides and left side of equation and the last step is set factor equal to 0

3900000×18% = 702000

702000÷2500 = 280.8 per share dividend

450×280.8 = 126360

Answer:

okay, so we have a wall that is 60 ft. The area of the wall because the wall is a square is just side squared. So the area of the wall is \(60^{2}\), which is 30 600 square feet. The mirror is 20 ft by 60 ft. So the area of the mirror, because its a rectangle is length times width, so that's 20 a 60 so 20 x 60 is gonna give me 1200 square feet. So if we take the area of the mirror and put that over the area, the wall we get 1200 over 30 600, which reduces to one over three. So the mirror is one third the area of the wall.

Step-by-step explanation:

Answer: 2/13

Step-by-step explanation:

There are four jacks and four tens in a standard deck of 52 cards. However, the jack of spades and the ten of spades are counted twice since they are both a jack and a ten. Therefore, there are 8 cards that are either a jack or a ten, and the probability of drawing one of these cards at random is:

P(Jack or Ten) = 8/52 = 2/13

So the answer is 2/13.

Step-by-step explanation:

a probability is airways the ratio

desired cases / totally possible cases

in each of the 4 suits there is one Jack and one 10.

that means in the whole deck of cards we have

4×2 = 8 desired cases.

the totally possible cases are the whole deck = 52.

so, the probability to draw a Jack or a Ten is

8/52 = 2/13

The perimeters of ABCDE and PQRST are 65 and 91, respectively, and their respective scale factors are 5/7.

The perimeter of a form is its circumference. The interior space of a form is measured by area. The perimeter is the space around a shape's edge. Discover how to calculate the perimeter of various forms by multiplying their side lengths. The whole length of a shape's boundary is referred to in geometry as the perimeter of that shape. The length of each side and edge that surrounds a shape is added to find its perimeter. It is measured in linear distances such as centimeters, meters, inches, or feet.

given

the scale factor in the following format: a: b = 5/7 for ABCDE and PQRST

ABCDE's perimeter is equal to the total of its sides,

which is 65 (10 + 10 + 10 + 20 + 15).

the sum of all the sides of PQRST equals 91.

The perimeters of ABCDE and PQRST are 65 and 91, respectively, and their respective scale factors are 5/7.

To know more about perimeters visit :-

https://brainly.com/question/6465134

#SPJ1

The number of players that can fill their bottle is 13

A word problem is a math problem written out as a short story or scenario. Basically, it describes a realistic problem and asks you to imagine how you would solve it using math.

A cooler can have 5 gallons

1 gallon = 8pints

2 gallons = 2 × 10 = 20pints

a water bottle for each player can hold 1 1/2 pints = 3/2 pints

Therefore the number of bottles in 80 pints = 20÷3/2

= 20 × 2/3

= 40/3 = 13 1/3 bottles

therefore 13 players will be able to fill their bottles before the cooler get empty

learn more about word problem from

https://brainly.com/question/21405634

#SPJ1

The function f(-9) is the -x value, find where the line is in the -y direction at -x = -9. The line crosses -y = -3 at -x = -9.

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.

In discrete mathematics, a graph is made up of vertices—a collection of points—and edges—the lines connecting those vertices. In addition to linked and disconnected graphs, weighted graphs, bipartite graphs, directed and undirected graphs, and simple graphs, there are many other forms of graphs. A graph is a diagram that depicts the connections between two or more objects.

The function f(-9) is the -x value, find where the line is in the -y direction at -x = -9. The line crosses -y = -3 at -x = -9.

To learn more about graphs refer to:

https://brainly.com/question/19040584

#SPJ13

About 68%

Given : The mean speed of a sample of vehicles along a stretch of highway is 66 miles per​ hour, with a standard deviation of 4 miles per hour.

i.e.  

We assume the data set has a​ bell-shaped distribution (i.e. Normal distribution).

To find :  The percent of vehicles whose speeds are between 62 miles per hour and 70 miles per hour.

i.e . The percent of vehicles whose speeds are between  miles per hour and  miles per hour.

i.e . The percent of vehicles whose speeds are between  miles per hour and  miles per hour.

i.e. i.e . The percent of vehicles whose speeds are within one standard deviation from the mean.

According to the Empirical rule , about 68% of the population lies within one standard deviation of the mean.

It means , about 68% of vehicles lies within one standard deviation of the mean.

i.e . About 68% of vehicles whose speeds are between  miles per hour and  miles per hour.

i.e .  About 68% of vehicles whose speeds are between  miles per hour and  miles per hour.

⇒ About 68% of vehicles whose speeds are between 62 miles per hour and 70 miles per hour.

To establish trust with Martina, the nurse should show respect, use non-verbal communication, incorporate play, involve the parent, and individualize the approach.

To establish a trusting relationship with Martina, the nurse can employ several approaches:

Respect and empathy: The nurse should approach Martina with genuine respect and empathy, recognizing her unique needs and individuality. This can be conveyed through a calm and patient demeanor.

Non-verbal communication: Since Martina may not be responsive to verbal cues, the nurse can utilize non-verbal communication to establish connection and trust. This can include maintaining eye contact, using gentle touch, and respecting Martina's personal space.

Play and familiar objects: Given Martina's engagement with the blue stuffed dog, the nurse can incorporate play into their interactions. Bringing familiar objects or toys that Martina finds comforting can help create a sense of familiarity and security.

Parental involvement: Involving Martina's mother in the care process can be beneficial. The nurse can communicate with the mother, seek her input, and involve her in the administration of medications. This helps build trust not only with Martina but also with her caregiver.

Individualized approach: Recognizing Martina's autistic disorder, the nurse should tailor their approach to her specific needs. Understanding her sensory sensitivities and preferences can help create a safe and comfortable environment.

By implementing these strategies, the nurse can foster trust and a positive therapeutic relationship with Martina, promoting her overall well-being and care.

For more questions on communication

https://brainly.com/question/27173879

#SPJ8

Complete Question:

What approach would help the nurse establish a trusting relationship with Martina, a 3-year-old with bronchitis and autistic disorder, who is intensely occupied with a blue stuffed dog and does not seem responsive to the nurse's presence in the room, while the mother is also present?

Answer:

C

Step-by-step explanation:

Using the Pythagorean theorem, find BA: \(\sqrt{37^{2}+53^{2} } = \sqrt{4178}\)

Making BC = x, find the lenth of BD: \(\sqrt{x^{2} +37^{2} }\)

Since DBA is a right triangle, this follows: \(DA^{2}=BD^{2}+BA^{2}\)

Substitute: \((x+53)^{2} =\sqrt{4178} ^{2} +\sqrt{x^2+37^2} ^{2}\)

Expand: \(x^{2} +106x+2809=x^{2} +5547\)

Solve: 106x = 2736

Finally: x ≈ 25.8 ≈ 26

Therefore: C

Answer:

3 hours

Step-by-step explanation:

285+55+285+55+285+55=1020

or another way

285+55×3= 1020

Answer: 1.68

Step-by-step explanation: Okay, to find this we need to use this formula:

Amount = Part percent * whole number / 100

So, now let's plug in the numbers:

Amount = 14 * 12 / 100

= 168/100

= 1.68

Therefore the amount of gold in the rock is 1.68 oz out of the 12 ounces.

I hope this helped!

Answer: 1.68

Step-by-step explanation: So, if we want to find how much gold is in the rock, it's a good idea to set up a proportion. So, it would be like this:

\(\frac{14}{100} = \frac{?}{12}\)

Now, we would cross-multiply the 12 and the 14, which is 168, and then divide it by 100. That can be found by moving the decimal 2 places left of 168.00. So, that would be 1.68. Therefore, there are 1.68 ounces of gold in the rock. I hope this helped!

A function that represents a reflection of \(f(x) = \frac{3}{8} (4)^x\) across the y-axis include the following: D. \(g(x) = \frac{3}{8} (4)^{-x}\).

In Mathematics and Geometry, a reflection over or across the y-axis or line x = 0 is represented and modeled by this transformation rule (x, y) → (-x, y).

This ultimately implies that, a reflection over or across the y-axis or line x = 0 would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By applying a reflection over the y-axis to the parent exponential function, we would have the following transformed exponential function:

(x, y)                                              →                 (-x, y).

\(f(x) = \frac{3}{8} (4)^x\)                               →              \(g(x) = \frac{3}{8} (4)^{-x}\)

Read more on reflection here: https://brainly.com/question/3399394

#SPJ1

A. r9 - 46

Your Welcome

Answer:

D is the answer

Step-by-step explanation:

-15 Is the same as 15 its just negative but they have the same distance.

Answer:

i dont understand what you are asking us?

Step-by-step explanation:

Answer:

Step-by-step explanation:

266 divided by 7 is 38 laps a day

a ) Work is needed to stretch the spring from 41 cm to 45 cm is 0.58J

b ) 1445 cm far beyond its natural length will a force of 30 N keep the spring stretched.

A spring has a spring constant k,

It takes force kx to extend the spring's length.

A spring stretched length x has energy kx²/2.

Work of 3J gave the spring energy k(53-36)²/2.

Therefore,

3 = k(53-36)²/2

k = 6/289 N/cm

Work is needed to stretch the spring from 41 cm to 45 cm

At 41 cm the spring has energy k(41-36)²/2.

At 45 cm the spring has energy k(45-36)²/2.

The extra energy is given by,

(6/289)(45-36)²/2 - (6/289)(41-36)²/2

= (6/289) * 81/2 - (6/289) * 25/2

= 243/289 - 75/289

= 168/289

= 0.58J

Work is needed to stretch the spring from 41 cm to 45 cm is 0.58J

The natural length will a force of 30 N keep the spring stretched,

30 = kx

x = 30/k

= 1445 cm

1445 cm far beyond its natural length will a force of 30 N keep the spring stretched.

Learn more about String problems:

https://brainly.com/question/18760005

#SPJ4

SOLUTION

Write out the given data from the question

The probabilty of an event is given by the formula

Let

The probabilty of Employing playing games be P(E)

The probabilty of Employing for swimming be P(F)

then

Where

Number of employees playing games =169

Total employees =550

Substituting the values, we have

Since the probability is in percentage, multiply by 100

Hence,

The probability of employees playing game at pastime is about 31%

Similarly,

Substituting the values, we have

Since the probability is in percentages, We multiply by 100

Hence

Hence

The probabilty of the employes swimming at passtime is about 42%

Therefore

the probability of an employee's choosing playing games to an employee's choosing swimming is about 31% to about 42%

Answer; about 31% to about 42%(Third option)

Answer: 24.45 miles apart

Step-by-step explanation:

because if its 1.5 inches apart so we already know 1 inch is 16.3 then half and inch is 8.15 so 16.3+8.15 is 24.45

A tessellation is a pattern made by repeating geometric shapes without any gaps or overlaps. These shapes, called tiles or polygons, fit together perfectly to cover a plane or a surface. Tessellations can be found in various forms of art, architecture, and design. They are used to create visually appealing patterns and decorations, as well as to explore mathematical concepts.

Tessellations are utilized in various practical applications, such as tiling floors, walls, and pavements, designing mosaics and quilts, and creating computer graphics and textile patterns. They are also studied in mathematics to understand concepts like symmetry, geometry, and transformations.

For polygons to tessellate, certain conditions must be met at their vertices. At each vertex, the angles formed by the polygons must add up to a whole number of degrees, typically 360 degrees. In other words, the sum of the interior angles of each polygon meeting at a vertex must be a multiple of 360 degrees.

This ensures that the polygons can fit together seamlessly without leaving any gaps or overlaps. Examples of polygons that tessellate include equilateral triangles, squares, and hexagons, as their angles add up to 360 degrees at each vertex.

For more such answers on tessellation

https://brainly.com/question/11869345

#SPJ8