If f (x) = 2 x + 5 and three-halves are inverse functions of each other and StartFraction 41 Over 8 EndFraction,

Answer:

28

Step-by-step explanation:

Well we know that in a day there are 24 hrs so in 4 days there will be 96 hrs

so the car travelled 2686 miles in 96 hours

2686/96= 27.9791666667

So the car's average speed is about 28

Answer:

24

Step-by-step explanation:

Clara builds 3 parts of the fence per hour--

if she works for 8 hours-- we know she built 3 fences each hour-- you would multiply,

8(hours) x 3 (fences) = 24  

we know this is right because 3 parts are built for every hour

(3+3+3+3+3+3+3+3 = 24)

she worked for 8 hours and built 3 parts of the fence every hour

in total, she built 24 parts of the fence.

The area of figure is 272.52 square units.

The given figure consist:

A parallelogram of,

length = 12

width   = 18

Since we know that,

Area of parallelogram  = length x width

                                      = 12 x 18

                                      = 216 square units

And it consist of a semicircle of,

radius = 12/2

          = 6

Since we know that,

Area of semicircle is = πr²/2

                                  = 3.14 x 6 x 6/2

                                  = 56.52 square units

Thus,

The area of figure is sum of both areas,

⇒ 216 + 56.52

Hence, area is

⇒ 272.52 square units

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Answer:

B: 3,0,-3,-6

Step-by-step explanation:

An arithmetic sequence has constant adding or subtracting. In this case, 3 is being subtracted as a constant.

There are 210 different committees that can be formed by selecting 6 people from a list of 10 people.

What is the combination?

Combinations are a way to count the number of ways to choose a subset of objects from a larger set, where the order of the objects does not matter.

To calculate the number of different committees that can be formed, we can use the concept of combinations.

In this case, we want to select 6 people from a list of 10 people, and the order in which the committee members are selected does not matter.

The formula for combinations is given by:

C(n, r) = n! / (r! * (n - r)!)

where C(n, r) represents the number of combinations of selecting r items from a set of n items, and ! denotes factorial.

Using this formula, we can calculate the number of different committees that can be formed:

C(10, 6) = 10! / (6! * (10 - 6)!)

Simplifying:

C(10, 6) = 10! / (6! * 4!)

10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1

6! = 6 * 5 * 4 * 3 * 2 * 1

4! = 4 * 3 * 2 * 1

Substituting these values:

C(10, 6) = (10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) / ((6 * 5 * 4 * 3 * 2 * 1) * (4 * 3 * 2 * 1))

C(10, 6) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)

C(10, 6) = 210

Therefore, there are 210 different committees that can be formed by selecting 6 people from a list of 10 people.

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The value of the net force acting on the block will be equal to 79N.

Force may be defined as the product of mass and acceleration, and it acts on the body in order to move the body. Since, the external force is acting on the block there will be a frictional force which opposes the block to move. The frictional force may be represented by f(k) and is given by

f(k) = external force - (ma)

f(k) = 40N - (5×6)

f(k) = 40N - 30N

f(k) = 10N and since it opposes the external force then the sign will be negative that is f(k) = -10N.

Also, there is a force of gravity acting on the body which will be equal to mg where 'g' is the acceleration due to gravity.

Now, force of gravity = mg

= 5×9.8 = 49N

Now, net force acting on the block = 40N - 10N + 49N

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Answer:

36πin

Step-by-step explanation:

Formula for the circumference of a circle=2πr

r=18

2 · 18

=36

36·π

hope this helps

The expected value with a sample size of 20 and a probability of 0.25 will be 5.

The anticipated value is an extension of the weighting factor in statistical inference. Informally, the anticipated value is the simple average of a significant number of outcomes of a randomly selected variable that was separately chosen.

The expected value is given below.

E(x) = np

Where n is the number of samples and p is the probability.

If x is a binomial random variable with n = 20 and p = 0.25. Then the expected value is given below.

E(x) = 20 x 0.25

E(x) = 5

The expected value with n = 20 and p = 0.25 will be 5.

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First, we need to convert feet to miles and seconds to hours.

1 mile is equal to 5280 feet.

So, 1716 feet is equal to (1716/5280) miles or 0.325 miles.

1 hour is equal to 3600 seconds.

So, 3 seconds is equal to (3/3600) hours or 0.00083333 hours.

Now we can calculate the speed of the plane in miles per hour by using the formula:

Speed (in miles per hour) = Distance (in miles) / Time (in hours)

Speed = 0.325 miles / 0.00083333 hours

Speed = 390 miles per hour (rounded to the nearest whole number)

Therefore, the speed of the plane is 390 miles per hour.

Answer:

1 is the correct answer

Step-by-step explanation:

Answer:

explain below

Step-by-step explanation:

sin² 90° and sin² (90) has different meaning

The former based on " degree" while the later based on "radians' argument

sin² 90° = 1

sin² (90) = 0.799

Answer:

x=4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

0.75x+3=6(x−3)

0.75x+3=(6)(x)+(6)(−3)(Distribute)

0.75x+3=6x+−18

0.75x+3=6x−18

Step 2: Subtract 6x from both sides.

0.75x+3−6x=6x−18−6x

−5.25x+3=−18

Step 3: Subtract 3 from both sides.

−5.25x+3−3=−18−3

−5.25x=−21

Step 4: Divide both sides by -5.25.

−5.25x/-5.25    =    -21/-5.25

Answer: x=4

The value of x from the given equation is 4.

The given equation is 0.75x + 3 = 6 (x - 3).

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation can be solve for x as follows:

0.75x + 3 = 6x - 18

⇒ 6x-0.75x = 3+18

⇒ 5.25x=21

⇒ x=21/5.25

⇒ x=4

Therefore, the value of x from the given equation is 4.

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The easiest way to find the volume of a cylinder is by using the formula V=πr^2h.

This formula is derived from the formula for the area of a circle, A=πr^2, and the formula for the volume of a prism, V=Ah. To calculate the volume of a cylinder, you will need the radius (r) and the height (h) of the cylinder. The radius is the distance from the center of the circle to the sides of the cylinder. The height is the distance from the top to the bottom of the cylinder.

To use the formula, simply plug in the radius and height of the cylinder into the formula. For example, if the radius of a cylinder is 6 cm and the height is 8 cm, the volume can be calculated by multiplying π (3.14) by 6^2 (36) by 8 (288). The volume of the cylinder is then 806.72 cm^3.

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Answer:

x = -1, 2

Step-by-step explanation:

√3x+3  - 1 = x

√3x + 3 = x + 1

3x + 3 = x^2 + 2x + 1

x^2 - x - 2

( x - 2 )( x + 1 )

x = -1, 2

Hopefully this helps!

Brainliest please?

Answer: (–∞, –6)

Step-by-step explanation:

From the given information, the function is never non-negative over (-8,-6), which is the only subset of the interval that is given.

The distance Mrs. Smith covers is 3520 yards during the duration of the week by Friday morning.

One week has seven days in total.

Mrs. Smith walks half a mile each day after work, she walks a total of

0.5 miles/ day × 7 days/ week = 3.5 miles/ week

Now, if we calculate the distance on Friday morning, she must have walked four times till Friday morning since she has to walk after her work.

Therefore,

0.5 miles/ day × 4 days = 2 miles

To convert miles to yards, we can use the fact that there are 1760 yards in one mile:

2 miles/week × 1760 yards/mile = 3520 yards/week

Therefore, by Friday morning, Mrs. Smith will have walked 3520 yards.

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Alice paid $25 for her pair of jeans, and Jeff paid $4 for the steaks.

Let's calculate the final amount paid by Alice and Jeff for their purchases.

Alice:

Jeff:

So, Alice paid $25 for her pair of jeans, and Jeff paid $4 for the steaks.

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The volume of a tetrahedron in the first octant bounded by the coordinate planes and the plane passing through (2,0,0), (0,1,0), and (0,0,4) using integration, with the order of integration dzdydx i.e. V = ∫[0 to 2] ∫[0 to 1 - x/2] ∫[0 to 4] dz dy dx.

To find the volume of the tetrahedron, we can set up a triple integral using the given order of integration dzdydx. The limits of integration will correspond to the bounds of the region within the tetrahedron. Since the tetrahedron is bounded by the coordinate planes and the plane passing through (2,0,0), (0,1,0), and (0,0,4), the limits of integration will be:

For z: 0 to 4

For y: 0 to 1 - x/2

For x: 0 to 2

Setting up the integral, we have:

V = ∫∫∫ dzdydx

V = ∫[0 to 2] ∫[0 to 1 - x/2] ∫[0 to 4] dz dy dx

Evaluating this triple integral will give us the volume of the tetrahedron in the first octant.

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The probability that they have an average weight of greater than 10 pounds and less than 15 pounds is 0.84134

In this question we have been given there are 250 dogs at a dog show who weigh an average of 15 pounds, with a standard deviation of 6 pounds. of 10 dogs are chosen at random.

We need to find the probability that they have an average weight of greater than 10 pounds and less than 15 pounds.

Given, μ = 12, σ = 8, n = 4

P(X > 8)

= P(z > (8 - 12 / 8/√4))

= P(z > -1)

= 1 - P(z ≤ -1)

= 1 - [1 - P(z ≤ 1)]

=  P(z ≤ 1)

= 0.84134

Therefore, the required probability is 0.84134

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Answer:

(0,3)

Step-by-step explanation:

y = mx + b

\(y=\frac{1}{2}x+b\)

\(4=\frac{1}{2}(2)+b\)

4 = 1 + b

b = 3

\(y=\frac{1}{2}x+3\)

'b' represents the y-intercept in slope-intercept form. Another point is (0,3)

Examining the figure, the missing angles are

angle AOC = 148 degrees

angle OCD =  21 degrees

Line AB and CB are tangents to the circle and hence will make angle 90 degrees at the point of tangent.

OA bisects angle AOC and angles ABC

In triangle AOB

90 + 32/2 + angle AOB = 180 degrees

angle AOB = 180 - 90 - 32 / 2

angle AOB =  74 degrees

angle AOC = 74 x 2 = 148 degrees

Using inscribed angle theorem

angle D = 1/2 x angle AOC

angle D = 74 degrees

In quadrilateral ABCD

143 + 32 + 74 + angle C = 360

angle C = 360 - 143 - 32 - 74

angle C = 111 degrees

angle OCD = 111 - 90

angle OCD = 21 degrees

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The solution is, at 500 miles, will the rental fee be the same under both plans A and B.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

from the given information, we get,

Plan A:   y = .2x + 75

Plan B:   y = .35x

Find an xy pair that satisfies both (intersection)

Substitute Plan B's y for Plan A

.35x = .2x + 75

.35x - .2x = 75

.15x = 75

x = 500

Hence, The solution is, at 500 miles, will the rental fee be the same under both plans A and B.

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Answer:

answer is the butt world

Answer:

So interval notation is with ( and [ where ( is exclusive and [ is inclusive.

Like (1,2) is between 1 and 2 exclusive. [1,2] is between 1 and 2 inclusive. (1,2] is between 1 and 2, 1 exclusive 2 inclusive.

at the point (6,0) you see that the graph goes from above 0 to below 0 (from positive to negative)

The values are positive when x is less than 6 and negative when x is greater than 6.

so the positive interval is

(-infinity, 6)

and with inifinity you always use exclusive

It's that because everything from all the way to the left (-infinity) to 6, is above the x-axis, which means it's positive

using this logic can you do the negative interval?

Answer:

I'm not sure what X or Y equals, But I'm pretty sure this could help!!

1. 4x + 16

2. 8x + 32

3. 2x + 8

Answer:

i dont think thats right its d

Step-by-step explanation:

Answer:

Step-by-step explanation:ideas are just as important as getting the correct answer. Technology: Many ... accuracy requested; and be prepared to explain your method to your classmates. If don't know how ... How many steps would you take to finish a journey of 1000 miles? ... (a) Graph the solutions to the inequality 6h + 75 ≥ 345 on a number line.

Answer:

5k in words is written as Five thousand which means 5000