What is the value of −4 + (−16) + 23?

43
3
−11
−35

2.5 m/s²  is the distance between the traffic lights .

Defining acceleration Short response?

   from the picture V = 15 m/s

                           t = 6 sec

  a = Δv/Δt  = 15/6  ⇒ 2.5 m/s²

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Answer:

40

Step-by-step explanation:

[tex]m \angle 2=20^{\circ}[/tex] (angle sum of triangle)

[tex]m\angle 1=40^{\circ}[/tex] (angle sum of triangle)

Answer: B

Step-by-step explanation: Maximum slope for hand-propelled wheelchair ramps should be 1" of rise to every 12" of length (4.8 degree angle; 8.3% grade). To the nearest hundredth would be 4.76 so, B.

8.6 8.63 8.66 8.611 8.641 8.691

Answer:

the answer will be a negative answer

Step-by-step explanation:

Answer:

32 ounce box of fruit loops is a better deal

Step-by-step explanation:

32 ounce of fruit loops is about $0.12 an ounce

24 ounce box of Honey Nut Cheerios is about $0.14 an ounce

Answer:

i Used the standard form to find the vertices.

Vertex

1: (5,−1+4√2)

Vertex

2: (5,−1−4√2)

Step-by-step explanation:

The unit rate is 10 minutes per meters.

What is rate of time?

Time is in units of seconds, minutes, hours, or years. Rate is distance per time, so its units could be mph, meters per second, or inches per year.

rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute.

Given,

she fills 4/5 meters in 8 minutes.

let x be the time she fills minutes per liter.

4/5 meters ⇔ 8 minutes

1 meter ⇔ x minutes

Cross multiplying

4/5*x = 1*8

x = 5*8/4

x = 10 minutes

The unit rate is 10 minutes.

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Answer:

If area of sector = area of circle

1/3π(r+4)^2= πr^2

r^2-4r-8 =0

A sector is a cut out section of a circle. It is of two radii and an arc .

The area of a sector is angle substended/ 360 x area of a circle

area of a circle is πr^2

if area of circle is equal to the area of sector

120/360×π(r+4)^2=πr^2

divide both side by π

1/3(r+4)^2=r^2

multiply both sides by 3

(r+4)^2=3r^2

opening the bracket

(r+4)(r+4)=3r^2

r^2+ 8r +16=3r^2

3r^2-r^2- 8r -16=0

2r^2- 8r -16=0

divide all by 2

r^2- 4r -8=0

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Answer:

168 and 170

Step-by-step explanation:

The ordered pairs in the solution set of the system of linear inequalities y ≥ -1/3x +2 and y < 2x + 3 are (2, 2), (3, 1), and (4, 2).

Given linear inequalities represented in the graph are:

y ≥ -1/3x +2

y < 2x + 3

In the graph, the shaded region above the solid line denotes the inequality,

y ≥ -1/3x +2

The shaded area on the right side of the dotted line denotes the inequality's solution set,

y < 2x + 3

And the common area of these inequalities will denote the solution set of the system of linear inequalities.

Ordered pairs are (2, 2), (3, 1), and (4, 2) and will therefore be located in the shared shaded area.

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Answer:

Mike is not correct.

Step-by-step explanation:

The opposite of 5 is in fact -5, but the absolute value of 5 is not -5. The absolute value of 5 is 5.

Answer:  8x + 3, where x is the number of hours

In the picture there are two tape diagram. From the tape diagram we got x as 7 and y as 18.

Given that,

In the picture there are two tape diagram.

1st diagram is A and 2nd diagram is B.

Diagram A has 3 blocks are x and the total of those diagram is 21.

We get,

x+x+x=21

3x=21

x=21/3

x=7

Now,

Diagram B has 2 blocks are y and 3 and the total of those diagram is 21.

We get,

y+3=21

y=21-3

y=18

Therefore, from the tape diagram we got x as 7 and y as 18.

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Hi! The total amount in the jar did not post properly. can you provide this?

Answer:

y = [tex]\frac{1}{4}[/tex] x - 6

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given m = [tex]\frac{1}{4}[/tex] , then

y = [tex]\frac{1}{4}[/tex] x + c ← is the partial equation

to find c substitute (- 8, - 8 ) into the partial equation

- 8 = - 2 + c ⇒ c = - 8 + 2 = - 6

y = [tex]\frac{1}{4}[/tex] x - 6 ← equation of line

Answer:

Step-by-step explanation:

Distance covered in 1 minute= 1.8x 10^7 kilometers

So, by unitary method,

distance covered in 8 minutes= 1.8 x 10^7 kilometers x 8

                                                  = 14.4 x 10^7 kilometers

The maximum amount Cedar should pay for monthly rent is 13,500.

We need to know the maximum amount of monthly rent cost to solve this problem. In this country, the department of housing and urban development has ruled that the maximum monthly rent cost is 30% of gross profit.

Max cost = 30% Gross

From the question above, the given parameter is

Gross profit = 45,000

By substituting the given parameter, the maximum monthly rent cost is

Max cost = 30% Gross

Max cost = 30% x 45,000

Max cost = 13,500

Hence, the monthly rent cost should have a maximum amount of 13,500.

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1.0000 percent is the probability that all 12 flights will arrive on time.

So, the problem meets all requirements for a binomial experiment, written as:

[tex]P(X=x)\left(\begin{array}{l}n \\x\end{array}\right) p^x(1-p)^{n-x}[/tex]

Now, p=0.85 and n=14, the probability that precisely 14 people arrived on time are calculated as follows:

[tex]\begin{aligned}&P(X \geq 1)=1-P(X=0) \\&=1-\left(\begin{array}{c}12 \\0\end{array}\right) 0.85^0(1-0.85)^{12} \\&=1-1.297 \times 10^{-10} \\&=1.0000\end{aligned}[/tex]

Therefore, 1.0000 percent is the probability that all 12 flights will arrive on time.

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The complete question is given below;
Your flight has been delayed: At Denver International Airport, 85% of recent flights have arrived on time. A sample of 14 flights is studied. Round the probabilities to at least four decimal places. Find the probability that all 12 of the flights were on time.

Matching the trigonometry formula to its ratio, we get

4/3 → tan A

4/5 → sin A

3/5 → cos A

From the question, we are to match the given trigonometry formulas to their correct ratios.

From SOH CAH TOA, we have that

sin (angle) = opposite / hypotenuse

cos (angle) = adjacent / hypotenuse

tan (angle) = opposite / adjacent

Considering angle A,

Opposite = 16

Adjacent = 12

Hypotenuse = 20

Thus,

tan A = 16 / 12 = 4 / 3

sin A = 16 / 20 = 4 / 5

cos A = 12 /20 = 3 / 5

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Answer:

mperpendicular = −2/5

Step-by-step explanation:

Answer:

1062.50

Step-by-step explanation:

Interest = PRT / 100.

= 12000 × 12.5 × 17 /100 × 24

= 1062.50

The distance when F = 0.029 based on the computation is 5.1 meters.

From the information, the force, F between two objects is inversely proportional to the square of the distance.

This willilk be illustrated as:

F = k / D²

We will find the value of k. This will be:

F = k / D²

0.084 = k / 3²

0.084 = k / 9

Cross multiply

k = 9 × 0.084 = 0.756

Therefore, the distance when F = 0.029 will be:

D² = k / F

D² = 0.756 / 0.029.

D² = 26

D = ✓26

D = 5.1

The distance is 5.1 meters.

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The dimensions of the college basketball court with a perimeter of 96 meters are:

The dimensions of a rectangular perimeter, like a basketball court, are the two sides (length and width).

The perimeter of a rectangle measures the four sides, that is, the two long sides and two wide sides.

The perimeter is given by the perimeter equation, P = 2(a+b).

The perimeter of the basketball court = 96 meters

The perimeter = 2(Length + Width)

2(Length + Width) = 96 meters

Length = 14 meters more than the width

The total difference of the two lengths = 28 meters (14 x 2)

Width = 17 meters (96 - 28)/2

Length = 31 meters (17 + 14)

Check:

Perimeter = 2(Length + Width)

96 meters = 2(31 + 17)

96 = 62 + 34

96 = 96

Thus, the college basketball court with a perimeter of 96 meters has the following dimensions: 31 meters in length and 17 meters in width.

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Answer:

I think this is the answer

Step-by-step explanation:

The correct answer is 20%

We know,

1 m = 100 cm

thus 1.5 m will be 150 cm (1.5 x 100 = 150cm)

now, to find 30 cm as a percentage :

(30/150) x 100

=20 %

Thus, 30cm 1.5 can be expressed, as  20%.

What do you understand by percentage?

percentage- "a relative value indicating hundredth parts of any quantity." Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

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The value for the volume of the room is 31. 84  cubic centimeters(cm³)

The mass of the air in the room is  41. 39 kg

The formula for calculating the volume of the room is expressed as;

Volume = l × w × h

Where;

From the information given, we have to substitute the values of the measurements of the room into the formula.

We have;

Volume, v = 4. 02 × 3. 37 × 2. 35

Volume, v = 31. 84 cubic centimeters(cm³)

To determine the mass of the air in the room, we use the formula for mass which is expressed as;

Mass = Density × volume

Given that;

Substitute the values

Mass = 1. 3 × 31. 84

Mass = 41. 39 kg

Hence, the volume is 31. 84  cubic centimeters(cm³)

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A round plane figure whose boundary ( circumference) consists of the points equidistant from a fixed point (the center). In the above question Pedro was wrong.

All the points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in plane draws to keep its distance from a specific point constant.

The tactic Pedro frequently used is ineffective since applying strict transformation to one figure and then onto another will only demonstrate whether the figures are congruent, not whether they are comparable.

Keep in mind that resemblance, as opposed to congruence, is about the proportionality between the dimensions of those figures. Therefore, when we overlay the figures, they won't match.

Pedro should divide each set of matching coordinates to demonstrate similarity; if all divisions provide the same outcome, the figures are said to be comparable.

Therefore, Pedro was not wrong.

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Answer: Number 5. is B-7CM

Number 8. is y=2/x

Step-by-step explanation:math