Mark the additive inverse of each integer!

Answer:

-42+8+17 = -17 and  37+(-21)+(-16) = 0

Step-by-step explanation:

Answer:5 sec

Step-by-step explanation:y=yards

R= 25yards+ 4y; M=9y

R-Y, or 25yards+4y-9y

So Miranda gains 5 yards per second

25/5=5 sec.

Answer:

E

Step-by-step explanation:

NO

No, the line passing through  (-4, 26) and (-2, 0) is  not parallel to line passing through (10, 18) and (5, 3) because slopes of both lines are different.

Line is possible in 2-d forms so, it has only x and y-co-ordinates. Z-co-ordinates is not possible.

We know very well that to prove any two lines are parallel to each other we need to prove only whether their slopes are equal or not.

Now, talking about the slopes we know that if any line is passing from point(x₁,y₁) and again passing from other point(x₂,y₂) then slope(m) of that line is given by the formula=(y₂-y₁) / (x₂-x₁)

So, for first line we have (x₁, y₁)=(-4,26)

and (x₂, y₂)=(-2,0)

So, slope(m₁) of first line is =(0-26)/(-2 - (-4))

                  =>m₁ = -26/2

                   =>m₁ = -13     ----(eq1)

Similarly, for second line, we have (x₁, y₁)=(10,18)

and (x₂, y₂)=(5,3)

So, slope(m₂) of second line is =(3-18) / (5-10)

                =>m₂ = -15/-5

                 =>m₂=     3   -------(eq2)

On comparing eq1 and eq2,we get

 =>m₁≠m₂.

Hence, the given lines are not parallel.

To know more about slope, visit here:

https://brainly.com/question/3605446

#SPJ4

(Complete question) is:

Is the line through (-4, 26) and (-2, 0) parallel to the line through (10, 18) and (5, 3)?

The dimensions of the rectangle are 10 feet (length) and 8 feet (width).

To find the dimensions of the rectangle with an area of 80 square feet and a width that is 2 feet less than the length,

follow these steps:

1. Let the length of the rectangle be L feet and the width be W feet.

2. According to the given information, W = L - 2.

3. The area of a rectangle is calculated by multiplying its length and width: Area = L × W.

4. Substitute the given area and the relationship between L and W into the equation: 80 = L × (L - 2).

5. Solve the quadratic equation: 80 = L² - 2L.

6. Rearrange the equation: L² - 2L - 80 = 0.

7. Factor the equation: (L - 10)(L + 8) = 0.

8. Solve for L: L = 10 or L = -8 (since the length cannot be negative, L = 10).

9. Substitute L back into the equation for W: W = 10 - 2 = 8.

So, the dimensions of the rectangle are 10 feet (length) and 8 feet (width).

for such more question on dimensions

https://brainly.com/question/11214914

#SPJ11

The following distributions has a mean that varies

II. The distribution of sample data

III. The sampling distribution of the sample mean

The correct answer is option v) II and III."

Here, we have,

In the context of statistical distributions:

I. The population distribution refers to the distribution of a specific variable within the entire population. The mean of the population distribution which is fixed and does not vary.

II. The distribution of sample data refers to the distribution of a variable within a specific sample. The mean of the sample data can vary from one sample to another.

III. The sampling distribution of the sample mean refers to the distribution of sample means taken from multiple samples of the same size from a population. The mean of the sampling distribution of the sample mean is equal to the population mean, but the individual sample means can vary from sample to sample.

Therefore, the mean varies in both the distribution of sample data (II) and the sampling distribution of the sample mean (III), but not in the population distribution (I).

To learn more on distribution click:

brainly.com/question/14651443

#SPJ4

In Milgram's first study of obedience, the majority of teachers initially complied but refused to deliver more than slight levels of shock.

In Milgram's first study of obedience, participants were assigned the role of 'teacher' and were instructed to administer electric shocks to a 'learner' whenever they answered a question incorrectly. The shocks ranged from mild to severe, with the highest level labeled as 'XXX.' The learner was actually an actor, and no real shocks were administered.

The study found that the majority of teachers initially complied with the experimenter's orders and delivered shocks, but they refused to deliver more than slight levels of shock. This suggests that while they were willing to follow the instructions to some extent, they had moral reservations about causing significant harm to another person.

It is important to note that the study has been criticized for ethical concerns and the potential psychological harm it may have caused to participants. However, it remains a significant contribution to our understanding of obedience and the power of authority figures.

About Milgram's first study of obedience here:

https://brainly.com/question/30462620

#SPJ11

Th value of x in the expression \(4x^2 - \frac{9}{16} = 0\) can be expressed as \(\frac{3}{8}\)

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given that \(4x^2 - \frac{9}{16} = 0\)

\(4x^2 - \frac{9}{16} = 0\\\\= 4x^2 = \frac{9}{16}\\\\\\x^2 = \frac{9}{16} / 4\)

\(x^2= \frac{9}{16*4}\)

=\(x^2 = \frac{9}{64}\)

\(x = \frac{3}{8}\)

Learn more about expression at;

https://brainly.com/question/1859113

#SPJ9

compplete question;

Find the value of x from the expression 4x^{2}-\frac{9}{16}=0.

about 95% is along the normal

Answer: x=1/4=0.25

Step-by-step explanation:

5+2⋅(6x)=8

Multiply 2 and 6 to get 12.

5+12x=8

Subtract 5 from both sides.

12x=8−5

Subtract 5 from 8 to get 3.

12x=3

Divide both sides by 12.

x=3/12

Reduce the fraction by 3/12 to lowest terms by extracting and canceling out 3.

their for the Answer: is x=1/4

Answer:

3

Step-by-step explanation:

Answer:

g=4.33

Step-by-step explanation:

8.95 - 5.4g = 3.81 - 9.58 - 8.69

-5.4g = 3.81 -9.58 -8.69 - 8.95

-5.4g = 5.77 - 8.69 - 8.95

-5.4g = -14.46 - 8.95

-5.4g = 23.41

-5.4/-5.4 =23.41/-5.4

g=4.33

Answer & Step-by-step explanation:

In the problem, we are asked to find the quotient. The quotient is the number that we get once we divide two numbers.

We are asked to find the quotient of 9⁵ ÷ 9⁵.

When a number is divided by itself, then the answer is always going to be 1.

So, the quotient of 9⁵ ÷ 9⁵ is going to be 1.

The area of the rectangle is  \(b^2\) +9b square feet

The rectangle is the quadrilateral whose opposite sides are parallel and equal. The rectangle is a four sided shape that all the angles are 90 degrees

The area is defined as the total space occupied by the two dimensional shape like rectangle, triangle, circle etc..

The length of the rectangle = (5/3)b+15 feet

The width of the rectangle = (3/5)b feet

The area of the rectangle = The length of the rectangle × The width of the rectangle

Substitute the values in the equation

The area of the rectangle  = [(5/3)b+15] ×(3/5)b

Apply the distributive property in the equation

[(5/3)b+15] ×(3/5)b = \(b^2\) +9b square feet

Hence, the area of the rectangle is  \(b^2\) +9b square feet

Learn more about area of the rectangle here

brainly.com/question/20693059

#SPJ1

Therefore, the total amount of money utilized on fuel in June 2022 is R11 095,60.

Percent is a way of expressing a quantity as a fraction of 100. It is denoted by the symbol %, which means "per hundred". Percentages are often used to represent proportions or ratios in various fields, including finance, science, and statistics. For example, an interest rate of 5% means that for every hundred dollars borrowed or invested, five dollars of interest will be charged or earned.

Here,

(a) To calculate the total distance covered by the water tanker in March 2022, we need to find the distance travelled per day and multiply it by the number of days in March.

Distance travelled per day = 2 × 18 = 36 km (since it's a return trip)

Number of weekdays in March = 31 - 4 (Saturdays) = 27

Total distance covered = distance per day × number of weekdays

= 36 km/day × 27 days

= 972 km

(b) To determine the quantity of fuel utilized by the water tanker in March 2022, we need to divide the total distance covered by the average fuel consumption rate.

Fuel consumption rate = 5 km/ℓ

Total distance covered = 972 km

Fuel utilized = total distance covered / fuel consumption rate

= 972 km / 5 km/ℓ

= 194.4 ℓ

(c) To determine the total amount of money utilized on fuel for the water tanker in March 2022, we need to multiply the fuel quantity by the fuel price.

Fuel price in March 2022 = R16,28/ℓ

Fuel utilized = 194.4 ℓ

Total cost of fuel = fuel price × fuel quantity

= R16,28/ℓ × 194.4 ℓ

= R3 163,39

Therefore, the total amount of money utilized on fuel for the water tanker in March 2022 is R3 163,39.

(d) To determine the total amount of money utilized on fuel in June 2022, we need to repeat the above calculation using the June fuel price.

Fuel price in June 2022 = R24,14/ℓ

Fuel capacity = 460 ℓ

Total cost of fuel = fuel price × fuel capacity

= R24,14/ℓ × 460 ℓ

= R11 095,60

To know more about percent,

https://brainly.com/question/29172752

#SPJ1

Complete question:

Records of the number of water tankers that were supplied to the construction site appear in the calender on ANNEXURE A. The water source is at a distance of about 18 km (return trip) from the construction site. The water tanker has a fuel capacity of 460 litres.. The rate of fuel consumption of the Mercedes water tanker averages 5 km/ℓ. The prices of fuel per litre in March and June 2022 appear below. JUNE 2022 FUEL PRICES \begin{tabular}{|l|l|} \hline DIESEL & COST \\ \hline 50ppm & R24,14 \\ \hline \end{tabular} Source: 4.1 (a) Calculate the total distance that the water tanker has covered in March (2) 2022. (b) Hence, determine the quantity of fuel that was utilized by the water tanker in March 2022. (c) Determine the total amount of money that was utilized on fuel for the water tanker in March 2022. (2) 4.2 Determine the total amount of money that was utilized on fuel in June 2022.

The area of one of the six congruent faces of the cube after the hole is drilled can be determined by subtracting the area of the drilled hole from the original face area of the cube.

First, let's find the area of the drilled hole. The hole is cylindrical, and its radius is given as 1. The formula for the area of a cylinder is A = πr^2, where r is the radius. Therefore, the area of the drilled hole is π(1^2) = π square units.

Next, we need to find the original face area of the cube. Since the cube has side length 3, each face is a square with side length 3. The formula for the area of a square is A = side^2, so the original face area is 3^2 = 9 square units.

Finally, to find the area of one of the six congruent faces of the cube after the hole is drilled, we subtract the area of the drilled hole from the original face area. Thus, the area is 9 - π square units.

Learn more about subtracting here: brainly.com/question/28008319

#SPJ11

Answer:

No

Step-by-step explanation:

For a point to be the midpoint of a line segment, it must bisect it into two equal segments and be on the line segment (hence, colinear with the endpoints). All four B points are equidistant from points A and C, but aren’t colinear with A and C. Therefore, they aren’t all midpoints of line segment AC.

I hope this helps! :)

Answer:

the four consecutive numbers are   89, 90, 91, 93.

Step-by-step explanation:

let the four consecutive numbers be x, x+2, x+4, x+6

according to the condition in the question

x+x+2+x+4+x+6=368

4x+12=368

4x=356

x= 89

So,  the numbers are   89, 90, 91, 93.

hope this will help :)

Answer:

(c)- 4/13

Step-by-step explanation:

There are 4 types of cards in a ordinary deck clovers, diamands, hearts, and spades

each set has 1 seven each, so 4 sevens total.

Also, each type of card has 13 different cards in it

so, your answer is 4/13

Consuelo deposited an amount of money in a savings account that earned 6. 3% simple interest. After 20 years , she had earned $5’922 in interest then the initial deposit was $4700

Use the simple interest formula

I = P r t

where I = simple interest

P = principal

r= rate of interest

t= number of years

5922=Px6.3%x20

5922=Px1.26

P=5922/1.26

P=4700

learn more about of amount here

https://brainly.com/question/27054498

#SPJ4

The triangle is the essential geometric form in the construction and support of a geodesic dome.

        A geodesic dome is a spherical structure like a round tent that is formed by the simultaneous placements of triangular structures one along the other. The triangles are placed in such a way it seems that rhombuses are placed one after the other.

         They are lightweight, and a layer of canvas or transparent material is placed over the structure to make it water-proof.

          It was first created by the American designer Richard Buckminster Fuller in the 20th century.

          Although these homes save energy and give a perfect place to live in nature, they can also pose some issues like the placement of the chimney, creating rooms within the dome, leakage in the roof, and so on.

To learn more about geodesic domes,

https://brainly.com/question/13671923

https://brainly.com/question/12790081

#SPJ4

The center of mass of the semicircular lamina is located at (0, 2kR⁵/M).

To find the center of mass of a lamina with varying density, we need to integrate the contributions of infinitesimally small elements of the lamina. In this case, since the density is proportional to the distance from the center of the circle, we can express the density as ρ = kR, where k is a constant of proportionality and R is the distance from the center.

Let's assume that the semicircular lamina lies in the xy-plane with its center at the origin (0, 0). The radius of the semicircle is denoted by R.

To find the center of mass, we need to calculate the moments about the x and y axes and then divide by the total mass of the lamina.

Let's start with the x-coordinate of the center of mass (x_cm):

x_cm = (1/M) ∫(x × dm)

where M is the total mass of the lamina, x is the distance along the x-axis, and dm is the mass of the infinitesimally small element.

The mass of an infinitesimally small element can be expressed as dm = ρ × dA, where dA is the infinitesimally small area of the element. Since the lamina is semicircular, we can express dA as dA = R× dθ × ds, where dθ is the infinitesimally small angle and ds is the infinitesimally small arc length.

Now, let's consider the x-coordinate contribution of an infinitesimally small element. The x-coordinate of an element located at an angle θ can be expressed as x = R ×cos(θ).

Substituting dm and x into the equation for x_cm:

x_cm = (1/M) ∫(R × cos(θ)× ρ × R × dθ × ds)

Since ρ = kR, we have:

x_cm = (1/M) ∫(R² × cos(θ) × kR × R × dθ × ds)

= (1/M) ∫(kR⁴ × cos(θ) × dθ × ds)

Now, we need to express ds in terms of dθ. For a circle with radius R, the arc length ds can be expressed as ds = R × dθ. Substituting this into the equation:

x_cm = (1/M) ∫(kR⁴ × cos(θ) × dθ × R ×dθ)

= (kR⁵/M) ∫(cos(θ) × dθ)

The integral of cos(θ) over the range [0, π] is zero. Therefore, the x-coordinate of the center of mass simplifies to:

x_cm = 0

Similarly, we can find the y-coordinate of the center of mass (y_cm):

y_cm = (1/M) ∫(y × dm)

The y-coordinate of an element located at an angle θ can be expressed as y = R × sin(θ). Substituting dm and y into the equation for y_cm:

y_cm = (1/M) ∫(R × sin(θ)× ρ × R × dθ × ds)

Since ρ = kR, we have:

y_cm = (1/M) ∫(R² × sin(θ) × kR × R × dθ× ds)

= (1/M) ∫(kR⁴× sin(θ) × dθ × ds)

Substituting ds = R × dθ:

y_cm = (1/M) ∫(kR⁴ ×sin(θ) × dθ × R × dθ)

= (kR⁵/M) ∫(sin(θ) × dθ)

The integral of sin(θ) over the range [0, π] is 2. Therefore, the y-coordinate of the center of mass simplifies to:

y_cm = (kR⁵/M) × 2

= 2kR⁵/M

Thus, the center of mass of the semicircular lamina is located at (0, 2kR⁵/M).

Learn more about proportional here:

https://brainly.com/question/31548894

#SPJ11

Answer:

x = -3

Step-by-step explanation:

The equation is : -1.3x=3.9

We can divide both sides by -1.3

-1.3x/-1.3=-3.9/-1.3

We get

x=-3

Answer:

x =-3

Step-by-step explanation:

divide -1.3 to both sides

Respuesta:

25 días

Explicación paso a paso:

Dado :

escenario 1

Área = 600 m

Número de días = 12

Número de trabajadores = 30

Tasa = 6

Escenario 2:

Área = 900 m

Número de días = n

Número de trabajadores = 36

Tasa = 6

Igualar los parámetros en cada escenario:

12 / n = 36/30 * 6/10 * 600/900

12 / n = 6/5 * 3/5 * 2/3

12 / n = 6/5 * 1/5 * 2/1

12 / n = 12/25

12 * 25 = 12n

300 = 12n

n = 300/12

n = 25 días

The number of days that 36 workers need at the given rate is 25 days

From the given question, we have 2 scenarios

First case:

Second case:

Taking the ratios of the distance worked, the number of workers, and rate will give:

12/n = 36/30 * 6/10 * 600/900  

12/n = 129600/270000

Cross multiply;

129600n = 12 * 270000

129600n = 3240000

n = 3240000/129600

n = 25

Hence the number of days that 36 workers need at the given rate is 25 days

Learn more on rate here: https://brainly.com/question/24482367

In a normal distribution, approximately 89% of the observations are expected to be contained within 1.25 standard deviations of the mean.

This can be determined using the empirical rule, also known as the 68-95-99.7 rule, which states that:

- Approximately 68% of the observations fall within 1 standard deviation of the mean.

- Approximately 95% of the observations fall within 2 standard deviations of the mean.

- Approximately 99.7% of the observations fall within 3 standard deviations of the mean.

Since 1.25 standard deviations is between 1 and 2 standard deviations, we can estimate that about 89% of the observations will fall within this range.

To know more about  distribution refer here

https://brainly.com/question/29664127#

#SPJ11

Answer:

  47.5 cm

Step-by-step explanation:

You want the height of a trapezoid with bases of lengths 135 cm and 105 cm, and an area of 5700 cm².

The formula for the area of a trapezoid is ...

  A = 1/2(b1 +b2)h

Filling in the given values, we have ...

  5700 = 1/2(135 +105)h

  5700 = 120h

  h = 5700/120 = 47.5

The height of the tabletop is 47.5 cm.

<95141404393>

Answer:

15/17

Step-by-step explanation:

if they won 2 games they lost 15 (17-2)  so the ratio is 15/17

The property sold at a cap rate of approximately 6%. The cap rate is a useful metric in real estate to assess the rate of return an investor can expect from an income-generating property.

To determine the capitalization (cap) rate at which a property sold, we need two pieces of information: the Net Operating Income (NOI) and the sale price. The cap rate is calculated by dividing the NOI by the sale price.

Given:

NOI = $400,000

Sale Price = $6,666,666

Cap Rate = NOI / Sale Price

Cap Rate = $400,000 / $6,666,666

Cap Rate ≈ 0.06 or 6% (rounded to the nearest decimal place)

Therefore, the property sold at a cap rate of approximately 6%.

In conclusion, Based on the given information, we calculated that the property sold at a cap rate of approximately 6%. The cap rate is a useful metric in real estate to assess the rate of return an investor can expect from an income-generating property.

It indicates the relationship between the property's net operating income and its purchase price. A higher cap rate suggests a higher potential return on investment, while a lower cap rate indicates a lower return. In this case, the cap rate of 6% implies that the property generated a return of 6% based on its net operating income.

To know more about cap rate refer here:

https://brainly.com/question/31531644#

#SPJ11

Answer:

  (a)  53.451∠163°

Step-by-step explanation:

The sum of the vectors is the sum of their components:

  v1 +v2 = (-55i +3j) +(4i +13j) = (-55 +4)i +(3 +13)j = -51i +16j

__

This is converted to magnitude and direction by ...

  |ai +bj| = √(a² +b²)

  |-51i +16j| = √((-51)² +16²) = √(2601 +256) = √2857 ≈ 53.451

and

  ∠(ai +bj) = arctan(b/a) = arctan(16/-51) ≈ -17° +180° = 163°

  note that 180° is added because the components indicate the angle is in the 2nd quadrant.

The object's speed and direction are ...

  53.451 ∠163°

_____

Additional comment

If you're doing a lot of vector calculations, the process is simplified immensely by a suitable calculator. (See attached.) 2-dimensional vectors are handled nicely using the complex number functions of the calculator.

Answer:

53.451; 163°

Step-by-step explanation: