How many groups of 1/8 are in 3?

The compound inequality that describes the elevation x of Ted's house with respect to Sakura's house is: D. 113 < x - 15 < 120.

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:

Based on the information provided, the minimum and maximum heights for Sakura's house can be represented by this compound inequality:

113 < x < 120

Since Ted lives about 15 meters below her, compound inequality would be rewritten as follows:

113 < x - 15 < 120.

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The limit of the composite function is given as follows:

lim x->7 f(g(x)) = 2.

A limit is given by the value of function f(x) as x tends to a value.

From the graph of g(x), we have that the lateral limits at x = 7 are given as follows:

[tex]\lim_{x \rightarrow 7^-} = \lim_{x \rightarrow 7^+} = -2[/tex]

Hence:

lim x->7 f(g(x)) = f(lim x->7 g(x)) = f(-2).

Looking at the graph of f(x), we have that:

f(-2) = 2.

Hence:

lim x->7 f(g(x)) = 2.

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Answer:

26

Step-by-step explanation:

10 + 26 = 26

Answer:

26

Step-by-step explanation:

1 × 10 + 16 × 1 = 10 + 16 = 26

The angles that are vertical angles are:

<EBD and <ABC

<ABE and <CBD

When two straight lines intersect at a point, they form two pairs of angles that are directly vertically opposite each other. These pairs of angles are called the vertical angles.

Given the image below that shows two lines intersecting at point B, they form two pairs of angles that are directly vertically opposite each other, which are:

<EBD and <ABC

<ABE and <CBD

These two pairs of angles are called vertical angles.

Therefore, the angles that are vertical angles are:

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Answer:

$2000 was invested at 5% and $5000 was invested at 8%.

Step-by-step explanation:

Assuming the interest is simple interest.

Simple Interest Formula

I = Prt

where:

Given:

Create two equations from the given information:

[tex]\textsf{Equation 1}: \quad \sf P_1+P_2=7000[/tex]

[tex]\textsf{Equation 2}: \quad \sf P_1r_1t+P_2r_2t=I\implies 0.05P_1+0.08P_2=500[/tex]

Rewrite Equation 1 to make P₁ the subject:

[tex]\implies \sf P_1=7000-P_2[/tex]

Substitute this into Equation 2 and solve for P₂:

[tex]\implies \sf 0.05(7000-P_2)+0.08P_2=500[/tex]

[tex]\implies \sf 350-0.05P_2+0.08P_2=500[/tex]

[tex]\implies \sf 0.03P_2=150[/tex]

[tex]\implies \sf P_2=\dfrac{150}{0.03}[/tex]

[tex]\implies \sf P_2=5000[/tex]

Substitute the found value of P₂ into Equation 1 and solve for P₁:

[tex]\implies \sf P_1+5000=7000[/tex]

[tex]\implies \sf P_1=7000-5000[/tex]

[tex]\implies \sf P_1 = 2000[/tex]

$2000 was invested at 5% and $5000 was invested at 8%.

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Step-by-step explanation:

we get the points with extreme values as the 0 points of the first derivative of the function.

h'(t) = 592 - 32/7 t = 0

592 = 32/7 t

4144 = 32t

t = 129.5 seconds

so, it will reach its max. height after 129.5 seconds.

The time that the ball reaches its maximum height is 129.5 seconds.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The height above the lunar surface (in feet) after ‘t’ seconds is given by the formula;

⇒ h =592t - 16/7t²

Now,

We have to find the derivative of above formula and equate to zero for the maximum time as;

⇒ h =592t - 16/7t²

⇒ h' =592 - 16/7 × 2t = 0

⇒ 592 - 32/7 t = 0

⇒ 32/7 t = 592

⇒ 32t = 592 × 7

⇒ 32t = 4,144

⇒ t = 4,144/32

⇒ t = 129.5 seconds.

Thus, The time that the ball reaches its maximum height is 129.5 seconds.

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Answer:

Carl and Alex are wearing hats.

Step-by-step explanation:

If Bob doesn't isn't wearing a hat, then Carl is, so Carl clearly is wearing a hat.

Now let's look at Alex. If he wasn't wearing a hat, then Bob would be wearing one. (If Alex doesn't wear a hat, then Bob wears

a hat). The logical conclusion is that Alex must be wearing a hat as well.

Product Y would be allocated 20% of the machine setups cost

Product Z  would be allocated 80% of the machine setups cost

What is activity-based costing?

Activity-based costing is a costing method where overhead cost of production are allocated based on the cost driver responsible for the overhead rather than using the plantwide overhead rate based on direct labor-hours.

In this case, we need to first of all determine the machine setups cost per per setups, based on the fact there 300 setups for both products Y and Z

machine setup  cost per setup=Machine setups cost/Number of setups

Machine setups cost=$180,000

Number of setups=300

machine setup  cost per setup=$180,000/300

machine setup  cost per setup=$600

Total set up cost for product Y=60*$600=$36000

Total set up cost for product Y as %=$36,000/$180,000=20%

Total set up cost for product Z=240*$600=$144,000

Total set up cost for product Z as %=$144,000/$180,000=80%

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The typical average price of gasoline should be $2.81 and not $2.69 because $2.69  is not the average of the sampled prices.

We are given the prices of a gallon of gasoline from 5 gas stations surveyed as; $2.79, $2.99, $2.69, $2.89, and $2.69.

Thus, to calculate the mean, we will use the formula;

Mean = ∑x/n

Mean = (2.79 + 2.99 + 2.69 + 2.89 + 2.69)/5

Mean = 14.05/5

Mean = $2.81

Thus, the typical average price of gasoline should be $2.81 and not $2.69

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Answer:

(a)  [tex]\frac{620}{3195}[/tex]

(b) [tex]\frac{645}{3195}[/tex]

Step-by-step explanation:

Relative frequency of an event = Event Frequency/Total Frequency

In this case the event is the number of responses for each reason and the total frequency is the sum of all responses.

Total Responses = 583 + 620 + 187 + 163 + 558 + 645 + 439 = 3195

(a) What is the relative frequency for the reason "study hard"?
= Number of responses for "study hard" / 3195

= 620/3195

==> [tex]\frac{620}{3195}[/tex]   Answer to (a)

(b) What is the relative frequency for the reason "have a goal in mind"?

= Number of responses for the reason "have a goal in mind"/3195

= 645/3195

==> [tex]\frac{645}{3195}[/tex]   Answer to (b)

I think it is OK to leave it as it is without reducing the fraction any further

Answer:

3:5.7

Step-by-step explanation:

please Mark me as

Answer:

its not a accurate questions

cant be answered

Step-by-step explanation:

Answer: 1/10

Step-by-step explanation:

Reason: It's 3 spaces from J to K, or vice versa.

We can subtract and use absolute value to get the same result

|J - K| = |-7 - (-4)| = |-7 + 4| = |-3| = 3

or

|K - J| = |-4 - (-7)| = |-4 + 7| = |3| = 3

The rocket will take a time of approximately 2.686 seconds to hit the ground.

The height of the rocket (h), in feet, is modelled by a quadratic equation, which is used to model free fall motion, that is, the motion of an object solely due to action of gravity. In this problem we must look for the time when the rocket hits the ground:

- 16 · t² + 40 · t + 8 = 0

(t - 2.686) · (t + 0.186) = 0

Only the first root offers a realistic solution, for time is a non-negative variable. The rocket will take a time of approximately 2.686 seconds to hit the ground.

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The 50th percentile value is 303.5.

What is a percentile?

A percentile is a term used in statistics to express how a score compares to other scores in the same set. While there is technically no standard definition of percentile, it's typically communicated as the percentage of values that fall below a particular value in a set of data scores.

Percentiles are commonly used to report values from norm-referenced tests (in which the average is determined by comparing a set of results in the same group) as the percentages of scores that fall below those of the average of the set.

For calculation we have to add all the given numbers.

(128+134+144+146+153+190+207+209+220+221+237+256+263+265+271+273+283+324+350+371+389+401+416+417+422+424+443+444+448+466+486+487+490+500) divided by 34

hence 50th percentile  is 303.5

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Answer:

No

Step-by-step explanation:

By the time they meet at their first meet, they would have practiced for 630 minutes total.

70*3=210

If they meet every three days each week for 70 mins each day then I would have to multiply the answer to learn how many minutes they gain each week.

210*3=630

If they have 210 mins per week and they only meet 3 times before the first meet, they will have only met for a total of 630 mins.

An inference which this passage would best support is that: A. the people at the store do not share Julia’s heritage.

Deductive reasoning can be defined as a type of logical reasoning that typically involves drawing conclusions based on a given set of rules and conditions, or from one or more premises (factual statements) that are assumed to be generally (universally) true.

An inference can be defined as a process through which a reader can logically deduce the meaning or message (information) that is associated with a literary work, especially through induction.

Since "Happy Graduation, Julie." and "Names/Nombres," were inscribed on the gift, it ultimately implies that the people at the store were obviously of English speaking heritage, rather than Spanish (Julia’s heritage).

In conclusion, we can reasonably infer and logically deduce that an inference which this passage would best support is that: A. the people at the store do not share Julia’s heritage.

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Answer: A

Step-by-step explanation:

The length of the strip of paper is 7 inches.

From the information, Jada cuts a strip of paper into 5 equal parts and each part is 7/5 inches long.

Therefore, the length of the strip will be:

= 7/5 × 5

= 7 inches.

The length is 7 inches.

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It should be noted that 4/7 x 1/4 is greater than 4/7 x 1/6.

It should be noted that we are to find the value that is bigger between 4/7 x 1/4 or 4/7 x 1/6.

Therefore 4/7 x 1/4 will be:

= 4/7 × 1/4

= 1/7

Also 4/7 x 1/6 will be:

= 4/7 × 1/6

= 2/21

Therefore, it should be noted that 4/7 x 1/4 is greater than 4/7 x 1/6.

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The maximum number of cubical boxes of side 1 feet that can be placed in a rectangular closet of length 6 feet, height 9 feet and breadth 5 feet is 270 boxes. Maximum number of boxes that can be placed along the length, height and breadth will be 168 boxes, 198 boxes and 150 boxes respectively.

Since the cube shaped boxes of length 1 feet are to be placed in the rectangular closet, the maximum number of boxes that will fit completely would be given as a comparison of volume of rectangular closet being equal to product of number of boxes and volume of 1 cubical box.

Volume of rectangular closet = Number of boxes * Volume of 1 cubical box

6 * 9 * 5 = n * (1*1*1)

Therefore, n = 270 boxes.

To calculate maximum number of boxes that will fit along the length would be calculated as product of length and breadth along 2 faces of closet and length and height along another 2 faces of closet.

Thus, [(9*6) + (9*6) + (6*5) + (6*5)] = 168 boxes along the length.

Similarly, to calculate maximum number of boxes that will fit along the height would be calculated as product of height and breadth along 2 faces of closet and length and height along another 2 faces of closet.

Thus, [(9*6) + (9*6) + (9*5) + (9*5)] = 198 boxes along the height

Similarly, to calculate maximum number of boxes that will fit along the breadth would be calculated as product of height and breadth along 2 faces of closet and length and breadth along another 2 faces of closet.

Thus, [(5*6) + (5*6) + (9*5) + (9*5)] = 150 boxes along the breadth.

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Shop Layout, in a scene shop, sheet lumber (such as lauan, plywood, masonite, and MDF) is commonly stored flat in an area that is at least  C. 4'x8'.

The most common size (area) for sheet lumber is  4 x 8 feet, about 32ft² or 2.97m².

Other areas that sheet lumber can occupy include 2 x 2 feet, 2 x 4 feet, 4 x 4 feet, and 4 x 10 feet.

This implies that sheet lumber does not usually come in the following sizes: 4'x6', 8'x8', and 6'x10'.

Length of sheet lumber = 8 feet

Width of sheet lumber = 4 feet

Area of sheet lumber = 32 ft² (8 x 4)

Thus, according to Shop Layout, in a scene shop, sheet lumber (such as lauan, plywood, masonite, and MDF) is commonly stored flat in an area that is at least  C. 4'x8'.

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A university wants to know more about the knowledge of students regarding international events. They are concerned that their students are uninformed regarding news from other countries. A standardized test is used to assess students’ knowledge of world events (national reported mean= 65, S = 5). A sample of 30 students is tested (sample mean=58, Standard Error=3.2). Compute a 99 % confidence interval based on this sample data. How do these students compare to the national sampl

:Newton’s first law states that if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force. In fact, in classical Newtonian mechanics, there is no important distinction between rest and uniform motion in a straight line; they may be regarded as the same state of motion seen by different observers, one moving at the same velocity as the particle and the other moving at constant velocity with respect to the particle. This postulate is known as the law of inertia.

Option D is the right choice. Dependent events can best be described as group of events whose later outcomes are affected by previous outcomes.

We are aware of two instances. If the occurrence of one result influences the occurrence of the other outcome, then events A and B are said to be dependent.

For instance,

If we pull the first marble without replacing it from a bag containing 5 blue marbles, 2 red marbles, and 3 green marbles.

The sketching of a blue marble first, followed by a green marble, is an instance of a dependent event.

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Answer:

d on edge

Step-by-step explanation:

Answer:

{(5,1),(5,0),(1,0),(0,-3),(-3,0),(-4,-3),(2,5)}

Step-by-step explanation:

This is all I could get from the cropped out picture of the graph

1. The effects of each transaction on the individual items of the accounting equation are as follows:

Cash    $70,000 + (40,000) + (15,000) + (500) + 4,000 + (3,275) + 1,800 + (700) + (1,800) = $14,525

Accounts Receivable $2,800 - 1,800 = $1,000

Office Supplies $1,200

Equipment $10,000 + 15,000 + 1,700 = $26,700

Office Suites $40,000

Accounts Payable $1,200 + $1,700 + (700) = $2,200

Capital–L. Lopez $70,000 + 10,000 = $80,000

Dividends $3,275

Revenues $2,800 + 4,000 = $6,800

Advertising Expenses $500

Wages Expense $1,800

Total $2,300

2. The company's Net income is $4,500.

Net income = Revenue - Expenses

= $2,300 ($6,800 - $2,300).

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1. Use additions and subtractions within the table to show the dollar effects of each transaction on individual items of the accounting equation.

2. Determine the company’s net income.

The mixture requires 200 ounces of 40% alloy.

A mixture is a physical combination of two or more substances that retain their identities and are blended as solutions, suspensions, or colloids.

x = amount of 40% copper

400 = amount of 70% copper

x + 400 = total amount of copper = amount of 60% copper

Set a correctly weighted mixture of x and 300 equal to the a weighted (x+300), in which the weights are decimal percentages;

0.4x + 0.7(400) = 0.6(x + 400)

Solve for x:

0.4x + 280 = 0.6x + 240

0.2x = 40

x = 200

x = 200 ounces of 40% copper.

Therefore, the amount of 40% alloy needed for the mixture is 200 ounces.

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Answer:

Step 1. The perimeter P means adding up all four sides of a rectangle.

Step 2. Let w be the width

Step 3. Let 3w be the length since the width is one-third the length

Step 4. Then P=w+w+3w+3w=8w=20 since the perimeter P is 20 cm.

Step 5. Solving the equation in Step 4 leads to the following steps

Divide by 8 to both sides of the equation

8w%2F8=20%2F8

w=5%2F2 and 3w=15/2 and P=2(5/2+15/2)=20 which is a true statement.

Step 6. ANSWER: The width is 5/2 cm.

Step-by-step explanation:

I hope the above steps and explanation were helpful.

Answer:

linear

Step-by-step explanation:

because they're are all in a vertical vay