In the data set below, what is the interquartile range?
51 60 90 90 92 96 98 98

Answer:

C) No, their slopes are not opposite reciprocals.

Step-by-step explanation:

First we find the slopes.

slope of PQ = (3 - 0)/(7 - 11) = 3/(-4) = -3/4

slope of RS = (-3 - 1)/(6 - 3) = -4/3

product of the slopes = (-3/4) * (-4/3) = 1

The slopes are reciprocals, but they are not opposite reciprocals, so the lines are not perpendicular.

Answer:

x=90

Step-by-step explanation:

it is a square so: 360/4=90

The net force acting on the object is 3456 N, the objective with an acceleration.

The net force applied to an object is equal to the product of its mass and acceleration, according to Newton's second law of motion. Mathematically, this can be represented as:

Fnet = ma

Where Fnet is the net force, m is the mass, and a is the acceleration. In your scenario, the net force applied to the object is 125 N, and its acceleration is 24.0 m/s2. Therefore, we can rearrange the formula and solve for the mass of the object as follows:

m = Fnet / a
m = 125 N / 24.0 m/s2
m = 5.21 kg

However, this answer does not match the given mass of the object, which is 144 kg. This suggests that there may be an error in one of the values provided. Assuming the mass of the object is actually 144 kg, we can use the same formula to solve for the net force acting on it as follows:

Fnet = ma
Fnet = 144 kg * 24.0 m/s2
Fnet = 3456 N

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The mass of an object with net force value = 125 Newton and acceleration of 24.0 m/s² is equals to the 5.208 kg. So, option(c) is right one.

The force formula is derived by Newton's second law of motion. The basic formula force applied on object is F = ma, which implies that net force is equals to product of mass and acceleration of an object. We have an object with the following information, Net applied force on object, F = 125 N

Acceleration of an object, a = 24.0 m/s²

We have to determine mass of object. Using the above force formula, F = M× a

where M --> mass in kilograms

a --> Acceleration in m/s²

F --> net force in Newton

Substitute all known values in above formula, 125 N = M × 24.0 m/s²

=> M = = \(\frac{125}{24}\)

=> M = 5.208 kg

Hence, required value is 5.208 kg.

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Complete question:

A net force of 125 N is applied to a certain object. As a result, the object accelerates with an acceleration of 24.0 m/s^2. The mass of the object is ?

a) 144 kg

b) 236 kg

c) 5.208 kg

d) 459 kg

Answer:

\(q = 16\sqrt{2}, r = 16\)

Step-by-step explanation:

Use proportions for 45-45-90 triangle.

Answer:

Step-by-step explanation:

Use proportions for 45-45-90 triangle.

Answer: 3/4 granola bars

Step-by-step explanation:

From the question, we are given the information that Davita brought 6 granola bars for herself and the 7 other girls in her camp group.

The fraction of a granola bar that each girl gets if they agree it equally would be the number of granola bars bought divided by the total number of girls which is 8. Therefore, the calculation would be:

= 6 ÷ 8.

= 3/4 granola bars

Each person gets 3/4 granola bars.

The fraction of a granola bar that each girl will get is 3/4

To get the fraction of a granola bar will each girl get, we will take the ratio of the total granola to total number of girls.

Given the following parameters

Total number of 6 granola bars

Total number of girls plus Davita is 8

Taking the required ratio;

Ratio = number of granola: total number of girls

Ratio = 6:8

Ratio = 3:4

Hence the fraction of a granola bar that each girl will get is 3/4

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Answer:

Both of the two unknown sides of the triangle are 23.32 cm

Step-by-step explanation:

"Isosceles" means that the triangle has two equal sides. It is quite symmetrical. If we draw in the height, the base will be cut right in half by it. See image.

First use area formula:

A = 1/2bh

to find the measure of the height (Area and base were both given)

Then use the Pythagorean Theorem to solve for the hypotenuse, which is the side of the triangle. See image.

Answer: 306

Step-by-step explanation:

i just took the test

The value of g in the intersected lines is 28 degrees.

When lines intersect, angle relationships are formed such as linear angles, adjacent angle, vertically opposite angles. Therefore, let's find the angle g in the intersected lines as follows:

Therefore,

g + 43 = 71

subtract 43 from both sides of the equation'

g + 43 - 43 = 71 - 43

g = 28

Therefore,

g = 28 degrees

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Answer:

Step-by-step explanation:

NO! Hope I helped.

The range is the set between all of the possible output values, which always shown on y-axis by identify any given domain and then finding the range of any functions is by taking graphs into consideration.

To discover the area and variety, we without a doubt remedy the equation y = f(x) to decide the values of the unbiased variable x and gain the area. To calculate the variety of the feature, we without a doubt explicit x as x=g(y) after which discover the area of g(y).

Because the area refers back to the set of viable enter values, the area of a graph includes all of the enter values proven at the x-axis. The simplest approach of locating the variety of a feature, say y = f(x), is to explicit x as g(y) and pick out the area set for g(y). This might be the variety for the given feature f(x).

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Answer:

Malcom used 3 pounds and 3 ounces of rice in the casserole

Answer: C

Step-by-step explanation: the key is to look at the relationships between the numbers. The y value increments by 5.5 or 5 respectively, which LOOKS like additive. However, it is actually multiplicitve, since the question is the relation between X and y, not the y values. From there you can simply test that 5x1=5, 5x2=10, etc, etc.

It is possible to add another data point that would be reasonable, even though no measurements were made. This data point could be an estimate or a prediction based on the existing data points. For example, if the existing data points show a linear relationship between acceleration and force, it would be reasonable to add a data point that falls along the same line.

One possible data point that could be added is (3m/s2, 4n). This data point falls between the existing data points (2m/s2, 3n) and (5m/s2, 5n), and would be a reasonable estimate based on the existing data.

Another possible data point that could be added is (7m/s2, 6n). This data point falls along the same line as the existing data points, and would be a reasonable prediction based on the existing data.

Overall, it is possible to add another data point that would be reasonable, even though no measurements were made, as long as the data point is based on the existing data and follows the same pattern or relationship.

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Answer:

\( 4,636.8 \: {in}^{2} \)

Step-by-step explanation:

Surface area of the hexagonal prism

= Area of base * Height

= 6*Area of one triangle *height

\( = 6( \frac{1}{2} \times 8 \times 6.9) \times 28 \\ \\ = 6(4 \times 6.9)28 \\ \\ = 6 \times 27.6 \times 28 \\ \\ = 4,636.8 \: {in}^{2} \)

It is given that the radius increases at the rate of 7 cm per second, that is 7 cm in 1s.

It follows that after 4s since backing away, the increase in radius is:

Add the increase to the initial length of the radius:

Hence, the radius 4s after you start backing away is 33 cm.

After 7s, the increase in radius will be:

Add this increase to the initial length of the radius:

Hence, the radius 7s after you start backing away is 54 cm.

Answer:

is there supposed to be a picture with it? i can't solve it without more information. sorry

Answer:

16b^5

Step-by-step explanation:

8b^2×2b^3

= 16b^2+3

= 16b^5

Answer:

D)16b5

Step-by-step explanation:

8b2×2b3

= 16b2+3

= 16b5

Answer:

16537.5

Step-by-step explanation:

4.5% of 13500 = 607.5

607.5 x 5 = 3037.5

3037.5 + 13500 = 16537.5

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................................

Answer:

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Step-by-step explanation:

The probability of contracting an illness is 0.0475.

According to our question-

D: The patient has the illness

ND: the individual without the disease

TD: The results of the test show the patient has the illness.

P(D) will therefore equal 0.001 since only 0.001 of the population is affected by the disease.

P(ND) = 0.991

Because the test successfully identifies a patient with the condition 99% of the time, P(TD/D) = 0.99.

P(TD/ND) = 0.02 because the test indicates that a healthy person contracts the disease 2% of the time.

We are seeking for P(D|TD) and P(ND|TD), respectively.

According to the Bayes formula, 0.00099/0.00099+0.01982 = 0.00099/0.02081 = 0.0475 = (0.99*0.001)/(0.99*0.001)+(0.02*0.991)

And, \s = 1 - \s = 1 - 0.0475 \s = 0.9525

Therefore,

The likelihood of having an illness is 0.0475.

The likelihood of not having any sick people is 0.9525.

Hence, The probability of contracting an illness is 0.0475.

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db/dt = 40/12 = 10/3 Feet per second, or approximately 3.33 feet per second. So the foot of the ladder is being pulled away from the wall at a rate of about 3.33 feet per second when it is 8 feet away from the wall and the top of the ladder is sliding down at 4 feet per second.

We can use the Pythagorean theorem to relate the length of the ladder, the distance of its foot from the wall, and the height it reaches on the wall:

\(a^2 + b^2 = c^2\)

where c is the length of the ladder, a is the distance of its foot from the wall, and b is the height it reaches on the wall. Differentiating with respect to time, we get:

2a da/dt + 2b db/dt = 2c dc/dt

We are interested in finding db/dt when a = 8 feet and dc/dt = -4 feet per second (negative because the top of the ladder is sliding down). We also know that c = 10 feet, so we can plug in these values and solve for db/dt:

2(8) da/dt + 2b db/dt = 2(10) (-4)

Simplifying:

16 da/dt + b db/dt = -40

We also know that when a = 8 feet and b = 6 feet (from the Pythagorean theorem), the ladder is at a height of 6 feet on the wall. Therefore, we can plug in these values and solve for da/dt:

8 da/dt + 6 db/dt = 0

Simplifying:

da/dt = -(3/4) db/dt

Now we can substitute this expression for da/dt in the first equation, and solve for db/dt:

2(8) (-(3/4) db/dt) + 2(6) db/dt = -40

Simplifying:

-12 db/dt = -40

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Answer:

-2/5 this is the answer to 6^2x+2•6^3x=1

Answer:

I need the same question

=======================================================

Work Shown:

A = area of the triangle on top, aka ceiling

A = 0.5*base*height = 0.5*6*8 = 24

B = area of the triangle on the bottom, aka floor

B = A = 24

C = area of the front rectangular face

C = length*width = 10*7 = 70

D = area of the face in back on the left

D = length*width = 6*7 = 42

E = area of the face in back on the right

E = length*width = 8*7 = 56

Total surface area = A+B+C+D+E = 24+24+70+42+56 = 216 square meters

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

Alternative Method:

A = area of the triangle on top, aka ceiling

A = 0.5*base*height = 0.5*6*8 = 24

B = area of the triangle on the bottom, aka floor

B = A = 24

LA = lateral area = wall area

LA = (perimeter of the base)*(height)

LA = (6+8+10)*(7)

LA = 24*7

LA = 168

Total surface area = A+B+LA = 24+24+168 = 216 square meters

write the relation between km with miles and days with hours

apply the conversion using this factors

Answer:

x = 70.71

Step-by-step explanation:

log 2x² + 2 = 6.

log 2x² + log 100= log 10⁶.

2x² × 100 = 10⁶

2x² = 10⁶/100

2x² = 10⁴

x² = 10⁴/2

x² = 5000

x = √5000

x is approximately 70.71

x = 70.71

4x10^-7 this optional is correct

Step-by-step explanation:

4÷1000000

o

Answer:

reword your question i cant read it

Step-by-step explanation:

Answer:

  t ∈ (-4.5, 2.25]

Step-by-step explanation:

You want to solve the compound inequality ...

  1/3t -5 < t -2 ≤ -3t +7

We can divide this into two inequalities.

  1/3t -5 < t -2   ⇒   -3 < 2/3t   ⇒   -4.5 < t

and

  t -2 ≤ -3t +7   ⇒   4t ≤ 9   ⇒   t ≤ 2.25

The solution interval is the intersection of these two solutions:

  -4.5 < t ≤ 2.25

  t ∈ (-4.5, 2.25]

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