Dora, the school lunch manager, says that it takes 225 oranges to make 5 gallons of orange juice how many oranges does Dora need to make one gallon?

Answer:

Yes

8 ft

Step-by-step explanation:

The equation of the arch is

\(y=-0.0625x^2+1.25x+5.75\)

Differentiating with respect to \(x\) we get

\(\dfrac{dy}{dx}=-2\times 0.0625x+1.25=-0.125x+1.25\)

Equating with zero

\(0=-0.125x+1.25\\\Rightarrow x=\dfrac{-1.25}{-0.125}\\\Rightarrow x=10\)

Double derivative of the equation

\(\dfrac{d^2y}{dx^2}=-0.125<0\)

So, the function is maximum at \(x=10\)

\(y=-0.0625x^2+1.25x+5.75=-0.0625\times 10^2+1.25\times 10+5.75\\\Rightarrow y=12\)

The function is maximum at \((10,12)\)

So, the truck's center should be below the point \((10,12)\) for maximum width to pass through.

Now truck is 11 feet tall so \(y=11\)

\(11=-0.0625x^2+1.25x+5.75\\\Rightarrow -0.0625x^2+1.25x-5.25=0\\\Rightarrow x=\frac{-1.25\pm \sqrt{1.25^2-4\left(-0.0625\right)\left(-5.25\right)}}{2\left(-0.0625\right)}\\\Rightarrow x=6,14\)

The maximum width of the truck can be \(14-6=8\ \text{ft}\) if it is 11 feet tall.

So, the truck which has a width of 7 feet can fit under the arch.

The circumference is 160 feet for a length of 40 feet. The perimeter is 200 feet for a length of 50 feet. The circumference is 240 feet for a length of 60 feet.

A rectangular region with a 1200 square foot area will have a different perimeter depending on how long it is. The perimeter will be 160 feet if the area is 40 feet long. The length of 40 feet is multiplied by four to get a final measurement of 160 feet. In a similar manner, if the area is 50 feet long, the perimeter will be 200 feet.

The length of 50 feet is multiplied by four to get a final result of 200 feet. Finally, the perimeter will be 240 feet if the area is 60 feet long. The length of 60 feet is multiplied by four to get a final measurement of 240 feet. A rectangular region with an area of 1200 square feet will therefore have a different perimeter depending on its length, with a length of 40 feet resulting in a perimeter of 160 feet, a length of 50 feet resulting in a perimeter of 200 feet, and a length of 60 feet resulting in a perimeter of 240 feet.

Learn more about length here

https://brainly.com/question/13194650

#SPJ4

Considering the graph the domain and range are

The domain refers to the possible values of the input variables which is in the x coordinate

Looking at the graph image attached, the values starts from -3 to 1 this is written as

The range refers to the values of the output functions. From the graph the range is 4 to 5

Learn more about range and domain here:

brainly.com/question/29238637#answer-25042797

#SPJ1

Answer:

A

Just Because They Produce more Automobiles, does not mean they sell them all, which it also does not tell us the quantity.

Use triangle bisect or theorem.

Set up proportion:

X/ 2.25 = 4/3

Cross multiply:

3x = (4 x 2.25)

3x = 9

Divide both sides by 3:

X = 3

Answer:

12 and 13

Step-by-step explanation:

For the first one (a = 5 and b = -7) we plug in those values into a - b which gives us 5 - (-7) = 5 + 7 = 12. We do the same for the second one which gives us -3 - (-16) = -3 + 16 = 13.

Answer:

Step-by-step explanation:

y + 17 = -1(x + 3)

y + 17 = -x - 3

y = -x - 20

Answer:

4 feet

Step-by-step explanation:

hi by the way.........

Answer:

4 feet

Step-by-step explanation:

There are 12 inches in 1 feet

48in/12 = 4 ft

Answer:

less valuable

Step-by-step explanation:

it will be reduced when time goes by

Rand will deprecate

Answer:

x = 0

Step-by-step explanation:

Step 1: Write equation

9x - 7 = -7

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

9(0) - 7 = -7

0 - 7 = -7

-7 = -7

Answer:

\(y=3(x-50)\)

Please Give Brainliest if this is correct!

(Which I am pretty confident in...)

To find all points with a specific x-coordinate, you need to have the equation of the curve or the data points representing the graph. If you have an equation, you can substitute the desired x-coordinate into the equation and solve for the corresponding y-coordinate.

If you have data points, you can look for the points that have the specified x-coordinate.

For example, let's say you have the equation of a line: y = 2x + 3. If you want to find all points with an x-coordinate of 5, you can substitute x = 5 into the equation to find y. In this case, y = 2(5) + 3 = 13. So the point (5, 13) has an x-coordinate of 5.

to find points with a specific x-coordinate, you need the equation of the curve or the data points. You can substitute the desired x-coordinate into the equation or look for the points that have the specified x-coordinate in the given data.

To know more about curve follow the link:

https://brainly.com/question/31012623

#SPJ11

The  Quotient and Remainder are Q 17 R 7 when 908 is divided by 53

In arithmetic, long division is a standard division algorithm suitable for dividing multi-digit Hindu-Arabic numerals (Positional notation) that is simple enough to perform by hand. It breaks down a division problem into a series of easier steps

The question reads:

Divide: 908 by 53 Remainder ..?

Using long division method, we have

908/53 =17.13207547

Multiply 0.13207547 by 53 to get the remainder

0.13207547*53 = approximately 7

Therefore,  the Quotient and Remainder are Q 17 R 7

Learn more about long division on https://brainly.com/question/28824872

#SPJ1

(a) tangent line to the graph of f(x) = x^3 at the point (4,2).

(b) equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12).

(a) To find the equation of the tangent line to the graph of f(x) = x^3 at the point (4,2), we need to find the slope of the tangent line at that point. We can do this by taking the derivative of f(x) with respect to x and evaluating it at x = 4. The derivative of f(x) = x^3 is f'(x) = 3x^2. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Once we have the slope, we can use the point-slope form of a linear equation to write the equation of the tangent line.

(b) Similarly, to find the equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12), we differentiate f(x) to find the derivative f'(x). The derivative of f(x) = x^2 - x is f'(x) = 2x - 1. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Using the point-slope form, we can write the equation of the tangent line.

In both cases, the equations of the tangent lines will be in the form y = mx + b, where m is the slope and b is the y-intercept.

Learn more about line tangent: brainly.com/question/30162650

#SPJ11

The commission for each phone exists $2 and the commission for each accessory exists $9.

Given: Commission on 18 phones and 21 accessories = $204

commission on 6 phones and 14 accessories = $82.

Let the commission of each phone be P and the accessory be A.

From the given information, we get

18P + 21A = 204

6P + 7 A = 68 -----(1)

6P + 14 A = 82 ------(2)

By substitution of (1) in equation (2),

⇒ 68 - 7A + 14A = 82

simplifying both of the above equations we get

⇒ 7A = 14

⇒ A = 2

The value of A = 2.

Commission of each accessory = $2

To estimate the commission on each phone:

6P + 7 x 2 = 68

⇒ 6P = 54

⇒ P = 9

Commission of each phone = $9

Therefore, the required answers are 2 and 9.

To learn more about equations refer to:

https://brainly.com/question/2972832

#SPJ9

Answer:

(3,5)

Step-by-step explanation:

We first need to substitute x for 3 in the equation :)

y = 2(3) - 1

y = 6 - 1

y = 5

The cordinate will be (3,5)

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

Main Answer: The set of all pairs of real numbers of the form (x, y), where x > 0, equipped with the standard operations on R², is a vector space.

Short Question: Is the set of all pairs of positive real numbers a vector space with standard operations?

In this case, the set of all pairs of real numbers of the form (x, y), where x > 0, is indeed a vector space when equipped with the standard operations of addition and scalar multiplication. This means that it satisfies all the axioms of a vector space.

Learn more aboutA vector space

brainly.com/question/29119544

#SPJ11

Answer:

18

Step-by-step explanation:

4 out of 10 is 4/10 = 0.4

0.4 of 45 = 0.4 * 45 = 18

Answer: 18

There is an increase in total participants.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

number of boys = 28

Number of girls = 16

Total participants = 28 + 16 = 44

Now, there is decrease in number of boys by 8%

= 28- 8%  x 28

=28- 8/100 x 28

=28 - 0.08*28

=28 -2.24

= 25.76

and, there is 19% increase in number of girls

=16 + 0.19 x 16

=16 + 3.04

=19.04

So, total participants = 25.76 + 19.04

= 44.8

Hence, there is an increase in total participants.

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ2

Answer:

The Prime Factorization is:

2 x 7

In Exponential Form:

21 x 71

CSV Format:

2, 7

Prime Factors Tree

 14  

 /  \  

2   7

Prime[1] = 2, Prime[4] = 7

Step-by-step explanation:

The given null hypothesis statement a. true, statement b. true and finally statement c. true.

a. False. Rejection of the null hypothesis using ANOVA only tells us that at least one group mean is different from the others, but it doesn't necessarily mean that all means are different from each other. Additional post-hoc tests, such as Tukey's HSD or Bonferroni, are needed to identify which specific means are different from each other.

b. True. If the null hypothesis is rejected using ANOVA, it means that there is significant variability between the groups. This variability is measured by the F-statistic, which is the ratio of between-group variability to within-group variability. A high F-statistic indicates that the standardized variability between groups is higher than the standardized variability within groups.

c. True. If the null hypothesis is rejected using ANOVA, it means that there is at least one significant difference between the means of the groups. Pairwise comparisons can be conducted using post-hoc tests to identify which specific pairs of means are significantly different. However, it's important to adjust the significance level for multiple comparisons to avoid making Type I errors.

More on hypothesis: https://brainly.com/question/28920252

#SPJ11

Answer:

27.5

Step-by-step explanation:

\(40 * \frac{x}{100} = 11\\\frac{x}{100} = \frac{11}{40}\\ 40x = 1100\\ x = 1100/40\\x = 27.5\)

The measure of the angle ABD for the given angle bisector is found as 40°.

For the given question;

BD is an angle bisector

Thus, both angles will be equal.

3x + 25 = 7x + 5

Solve the relation.

4x = 20

x = 5

The measure of angle ABD = 3x + 25

angle ABD = 3×5 + 25

angle ABD = 15 + 25 = 40

Thus, the measure of the angle  ABD for the given angle bisector is found as 40°.

To know more about the angle bisector, here

https://brainly.com/question/24334771

#SPJ13

Answer:

First of all, in a parabolic motion, there are two coordinates, horizontal and vertical. That means we need to find the distances and velocities of both coordinates.

We know that \(v_{0}=50 m/s\) and \(\theta = 81\°\). So, we can already find the initial velocity for both coordinates.

\(v_{0_{y} } =v_{0} sin(\theta) = 50 (sin81\° ) \approx 49.4 m /s\\v_{0_{x} } =v_{0} cos(\theta) = 50 (cos81\° ) \approx 7.8 m/s\)

Which makes totally sense, beacuse the angle of shooting is near 90°, as a result, the projectile will cover more vertical distance than horizontal distance.

Now, we know that a parabolic motion divides into two congruent part, when going up and when going down. Also, when the projectile reaches the maximum height, the vertical velocity there is null. So, we use this information to find the maximum time.

\(v_{y}=v_{0_{y} } +gt\\ 0= 49.4 + (-9.8)t\\t_{max} =\frac{-49.4}{-9.8} \approx 5.04\)

So, the projectile takes 5.04 seconds to reach the maximum height. The total time of the whole parabolic motion would be double (due to the symmetry)

\(t=2(5.04) =10.08\)

Therefore, the projectile travels 10.08 seconds in total.

Now, we can find the maximum height reached by the projectile.

\(v_{f}=v_{0_{y} }+2gh\\ 0= 49.4+2(-9.8)h\\h=\frac{-49.4}{-19.6} \approx 2.5\)

So, the maximum height reached is 2.5 meters. The total vertical distance of the movement is 5 meters (due to the symmetry).

Now, we just need to find the horizontal distance.

\(x=v_{0_{x} } t= 7.8(10.08)=78.62\)

The total horizontal distance traveled is 78.62.

At last, the final speed when the projectile reaches the ground after being launched is the same as the initial, beacuse the movement is symmetric.

Answer

CIAD

Step-by-step explanation

The Pythagorean theorem states:

where a and b are the legs and c is the hypotenuse of a right triangle.

Applying this theorem to triangle 1:

Then, the first letter is C.

Applying the theorem to triangle 2:

Then, the second letter is I.

Applying the theorem to triangle 3:

Then, the third letter is A.

Applying the theorem to triangle 4:

Then, the fourth letter is D.

A pregnant woman of normal body weight who started out weighing 120 pounds should weigh approximately 136-154 pounds by the end of her third trimester.

During pregnancy, women gain weight due to the growing fetus, uterus, and placenta, as well as an increase in blood and body fluid volume. A woman's pre-pregnancy weight and BMI (body mass index) determine how much weight she should gain during pregnancy.

According to the American College of Obstetricians and Gynecologists (ACOG), a pregnant woman of normal body weight (BMI 18.5–24.9) should gain between 25–35 pounds over the course of her pregnancy. Based on this, a woman who started out weighing 120 pounds should weigh approximately 136-154 pounds by the end of her third trimester.

Learn more about Body weight:

https://brainly.com/question/14595819

#SPJ11

Answer:

What's the question.?????????

Answer:

-510

Step-by-step explanation:

There are 10 common characteristics attributed to servant leadership: active listening, empathy, healing, awareness, persuasion, conceptualization, foresight, stewardship, commitment to the growth of people, and community-building.

A Scrum Master is a servant-leader whose focus is on the needs of the team members and those they serve (the customer), with the goal of achieving results in line with the organization's values, principles, and business objectives.

1.  Active listening: Active listening is the practice of preparing to listen, observing what verbal and non-verbal messages are being sent.

2.  Empathy:  the ability to understand and share the feelings of another.

3.  Healing:  the process of making or becoming sound or healthy again.

4.  Awareness:  knowledge or perception of a situation or fact.

5.  Persuasion:  A belief or set of beliefs, especially religious or political ones.

6.  Conceptualization:  The action or process of forming a concept or idea of something.

7. Foresight: The ability to predict or the action of predicting what will happen or be needed in the future.

8. stewardship: The job of supervising or taking care of something, such as an organization or property.

9. Commitment: The state or quality of being dedicated to a cause, activity, etc.

10. Community-building: Community building is a field of practices directed toward the creation or enhancement of community among individuals within a regional area or with a common need or interest.

To learn more about scrum master from the given link:

https://brainly.com/question/4763588

#SPJ4