Jack had 3 bottles of soda. Each bottle held 2 1/2 cups of soda. How many cups of soda did he have total?

The answer of the given question , the  ordered pair represents the point labeled H is   (-1/2, 5/4).

A graph is  visual representation of data, which typically displays  relationship between two or more variable. Graphs are commonly used to present complex information and  an easy-to-understand manner. They allow us  quickly and easily identify patterns, trends, and relationships in data that might not be able to apparent from simply looking at raw numbers.

The origin is at (0,0), and point H is located to the left one-half unit and up one and one-fourth units from the origin.

Since the x-axis starts at negative 2, with tick marks every one-fourth unit up to positive 2, we can count the units from the origin to the left to find the x-coordinate of point H.

Starting from 0 and moving left by 1/4 unit 2 times, we get -1/2. Therefore, the x-coordinate of point H is -1/2.

Similarly, since the y-axis starts at negative 2, with tick marks every one-fourth unit up to positive 2, we can count the units from the origin upwards to find the y-coordinate of point H.

Starting from 0 and moving up by 1/4 unit 5 times, we get 5/4. Therefore, the y-coordinate of point H is 5/4.

Hence, the ordered pair that represents the point labeled H is (-1/2, 5/4).

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Answer:

b

Step-by-step explanation:

b

Answer: 14

Step-by-step explanation:

1/4 of a pumpkin is required to make a pie. The easiest way to complete this is to convert 3.5 pumpkins into the same fraction.

1 pumpkin = 4/4

3.5 pumpkins = 14/4

If only 1/4 of a pumpkin is required to make a pie and we have 14/4 then we can make 14 pumpkin pies.

Answer:

f= 11

Explanation:

f= 2t-3 when t= 7 (just plug in 7 for the variable t!)

f= 2(7)-3

f= 14-3

f= 11

Answer:

f= 11

Step-by-step explanation:

Plug in 7, for the variable t. It will equal 14 because 2 times 7 is 14. Subtract 3 from 14, and the answer is 11.

Here is the work shown.

f= 2t - 3, t= 7

f= 2(7) - 3

f= 14 - 3

f= 11

I hope this helps. :)

To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

Answer: B) 56

Step-by-step explanation:

\(x:y=7:18\)

\(x=49\)

find the value of \(y\)

let, \(x^2\) \(7a\)

and let, \(y^2\) \(8a\)

A/Q

\(x=49\)

\(7a=49\), divide both sides by 7 to let the \(a\) alone,

\(a=7\)

///

\(y=8a\), so that we now that \(a=7\)

so, \(y=8*7\)

\(y=56\)

hope you've understanded...

Answer: -1

Step-by-step explanation:

-4-0=-4

2-(-2=4

-4/4=-1

Answer:

4/7

Step-by-step explanation:

When you multiply by fractions you multiply the numerators and denominators

4/1 x 1/7

Anything that doesnt have anything under it always has a 1 as its denominator

The equation that represents a quadratic relationship is y = 4x^2. Option A.

A quadratic relationship is a mathematical relationship where the variable y is a function of the variable x raised to the power of 2. In other words, it is an equation in which the highest power of the variable is 2.

Let's analyze the given equations:

1. y = 4x^2: This equation represents a quadratic relationship because the variable x is raised to the power of 2. The term 4x^2 indicates that the relationship between x and y is quadratic.

2. y = 4x^4: This equation represents a quartic relationship, not a quadratic relationship. The variable x is raised to the power of 4, which indicates a higher degree relationship than quadratic.

3. y = 4x^3: This equation represents a cubic relationship, not a quadratic relationship. The variable x is raised to the power of 3, indicating a higher degree relationship.

4. y = 4: This equation represents a linear relationship, not a quadratic relationship. It is a constant equation where y is always equal to 4, regardless of the value of x. In a quadratic relationship, the variable x should have a power of 2. Option A.

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Answer:

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

The distance is 710000 km and the first spaceship has travelled 110000 km in the first hour.

The remainder of the distance is reducing by:

Time to travel before they meet:

Add the first hour to this to get total travel time of 4 hours.

Answer:

1 ≤ x ≤ 2

Step-by-step explanation:

3 ≤ 6x - 3 ≤ 9 ( add 3 to each interval )

6 ≤ 6x ≤ 12 ( divide each interval by 6 )

1 ≤ x ≤ 2

The possible values for angles 1, 2, and 3 given that lines a and b are parallel lines include the following:

In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet or intersect.

Note: Assuming angle 1 is equal to 60 degrees.

In Mathematics and Geometry, the vertical angles theorem states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other:

m∠1 ≅ m∠3 = 60°.

Based on the linear pair postulate, the measure of angle 2 can be determined as follows;

m∠1 + m∠2 = 180°

60° + m∠2 = 180°

m∠2 = 180° - 60°

m∠2 = 120°

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the probability that a random sample of 277 individuals will result in a sample mean waist size of at least 86.3 cm is 0.9982.(c)The probability that a random sample of 277 individuals will result in a sample mean waist size of at least 86.3 cm is 0.9817.

To answer (b), we first need to calculate the z-score for 86.3 cm using the population mean of 85 cm and standard deviation of 14 cm. This gives us a z-score of 0.7. We can then use the normal distribution table to calculate the probability of a sample mean of at least 86.3 cm with a z-score of 0.7, which is 0.9982. To answer (c), we need to calculate the z-score for 86.3 cm using the population mean of 80 cm and standard deviation of 14 cm. This gives us a z-score of 1.5. We can then use the normal distribution table to calculate the probability of a sample mean of at least 86.3 cm with a z-score of 1.5, which is 0.9817.

Part (b):

Z-score = (86.3 - 85) / 14

= 0.7

Probability = 0.9982

Part (c):

Z-score = (86.3 - 80) / 14

= 1.5

Probability = 0.9817

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Answer:

(a)31.42 inches

(b)942.48 Square Inches

Step-by-step explanation:

Given a sector of a circle with the following dimensions:

Radius of the circle =60 inches

Central Angle of the sector =30°

(a)Arc Length

Arc Length \(=\dfrac{\theta}{360^\circ}X2\pi r\)

\(=\dfrac{30}{360^\circ}X2*60*\pi\\\\=10\pi\\\\=31.42$ Inches (correct to the nearest hundredth)\)

(b)Area of the sector

Area of the sector \(=\dfrac{\theta}{360^\circ}X\pi r^2\)

\(=\dfrac{30}{360^\circ}X\pi*60^2\\\\=300\pi\\\\=942.48$ Square Inches (correct to the nearest hundredth)\)

Answer:

(a)31.42 inches

(b)942.48 Square Inches

Step-by-step explanation:

Answer

3z³ + 2z - 12z² - 8 = (z - 4) (3z² + 2)

Explanation

For the sake of this setup, I replaced z with x in order to make it easier to solve.

Hope this Helps!!!

Answer:

22

Step-by-step explanation:

5t=99+11

5t=110

divide both side by 5 to find the value of t

We can see here that the data set approximately periodic. The period and amplitude is: Periodic with a period of 4 and an amplitude of about 30.

The size or magnitude of a wave or vibration is measured by its amplitude in physics. It describes the greatest deviation of a wave from its equilibrium or rest state, or the greatest intensity of an electromagnetic or sound wave.

When referring to waves, amplitude is commonly calculated as the distance between a wave's peak or trough and its resting position.

We can deduce that the values are being repeated at regular interval of four (4).

For the amplitude:

\(Amplitude: \frac{140 - 74}{2}\)

Amplitude = 33 ≈ 30.

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The speed of the plane in calm air is 210 miles per hour.

The formula for speed is given as:

= Distance / Time

The speed of the plane in calm air will be: = Distance / Time

= 840 miles / 4 hours

= 210 miles per hour

The speed of the plane against the wind will be:

= Distance / Time

= 840 miles / 5 hours

= 168 miles per hour

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Answer:

30/48

Step-by-step explanation:

Yes, by using the factor theorem and synthetic division method, x + 3 is a factor of -x³ + 4x - 15.

According to the factor theorem, a given polynomial of f(x) has a factor if and only if f=0.

From the given information:

Using the synthetic division method:

\(\mathbf{= \dfrac{-x^3+4x - 5}{x+3} }\)

\(\mathbf{\implies \dfrac{-(x+3) (x^2-3x + 5)}{x+3} }\)

Cancel out the common factors, we have:

\(\mathbf{\implies - (x^2-3x + 5)}\)

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Answer:

Ximena can use 1 gigabytes of data

Step-by-step explanation:

The first thing you want to do is subtract

51.10 - 44.50 =  5.6

5.6 is the amount of money she will have to spend on data

With each gigabyte costing 4 dollars and only 5 dollars to spend

she can only use one gigabyte

The visual that can help you in  creating a  3D structure using rectangular prism and others is given in the image attached.

3D structure creation is the method of planning and building three-dimensional structures or objects utilizing various materials and methods. This may make use of physical development with the use of materials such as wood, metal, and plastic, as well as virtual development utilizing computer program programs.

In virtual 3D structure creation, creators make use of program to make 3D models of structures or objects. These models can be seen and controlled in virtual space, and can be utilized to reenact how the structure  will see and work within the real world.

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See text below



1. Start by creating a rectangular prism

as the base of your structure. This will

be the main structure that includes

the walls and interior rooms.

2. Add a cylindrical tower to one corner of the rectangular prism. Adjust the size and height to your liking.

3. Add another cylindrical tower to the opposite corner of the rectangular

prism. Again, adjust the size and

height to your liking.

4. Add a pyramid-shaped roof to one of the cylindrical towers, and a cone-

shaped roof to the other cylindrical tower.

5. Add a second rectangular prism on top of the first one, with a different orientation or size. This can serve as an additional room or tower.

6. Add a pyramid-shaped roof to the second rectangular prism, and a cone-shaped roof to the cylindrical tower that does not have one yet.

7. Add a rectangular prism

perpendicular to the main structure,

creating an L-shape. This can be a

separate building or an extension of

the main structure.

8. Add a pyramid-shaped roof to the new

rectangular prism, and a cone-shaped roof to the cylindrical tower on the

opposite side of the main structure. 9. Finally, add spheres as decorative

elements to the walls and towers. You can also add other shapes, such as additional rectangular prisms,

pyramids, or cones, as long as you have at least 2 of each of the 5

required shapes.

Answer  This is the answer in thie screenshot ok

Step-by-step explanation:

The probability that Becky's proportion of poses held for over a minute is greater than Carla's is 0.741.

This can be determined by using the z-table, which shows the probability that a random variable is in the range that is a certain distance away from the mean.

In this case, we are looking at the probability that a random variable is greater than C, so we use the z-value for 0.741.

The principal investment required to get an accrued amount of $5,000.00 in 821 days is  $4,494.52.

Simple interest is expressed as;

A = P(1 + rt)

Where A is accrued amount, P is principal, r is interest rate and t is time.

Given that;

Plug the given values into the above formula and solve for principal P.

A = P(1 + rt)

P = A / (1 + rt)

P = $5,000.00 / ( 1 + ( 0.05 × 821/365 ) )

P = $5,000.00 / ( 1 + 821/7300 )

P = $5,000.00 / ( 8121/7300 )

P = $4,494.52

Therefore, the principal required is $4,494.52.

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Answer:

41428.57

Step-by-step explanation:

Average rate of change=(y2-y1)/(x2-x1)

(840,000-550000)/(11-4)

=41428.57

Answer:

11 hours

Step-by-step explanation:

8t + 7 > 89

8t > 81 : subtract 7 from both sides

t > 10.125 : divide by 8 for both sides

t = 11 : estimate

Trey has to work 11 hours because 10 hours would only give him $87.

Answer:

r=ln3/10

Step-by-step explanation:

The daily rate is given by 3 to the power x divided by 10.

We have given that a sample of bacteria is growing at a continuously compounding rate.

The sample triples in 10 days.

The daily rate of the bacteria growth is. exponential growth is in the form

y = abˣ

where y, x are variables.

a is the initial value

Sample triples, in 10 days. therefore the value of b=3.

Therefore we get,

\(y=3a^{\frac{x}{10}\)

\(y=a3^{\frac{x}{10}\)

Therefore the daily rate is given by \(3^{\frac{x}{10}\).

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