counting numbers greater than 110

Answer:

5 degrees Fahrenheit

Step-by-step explanation:

-6 + 11 = 5

Answer:

361

Step-by-step explanation:

because the circumference is 19 must find the nearest tenth value is 361

It should be noted that the cheetahs average rate for the entire trip is 55mph

The average rate for the trip is equal to the total distance traveled divided by the total time traveled.

Average Rate = 70+ 40/2= 110/2 = 55mph

Yes the average rate of the cheetah is 55 mph

The following equations represent the distance traveled on each leg of the trip.

First leg of trip: td=r1 t1= 70*t

Second leg of trip: td=r2 t2= 40*t

Write an equation for the average rate for the trip. Remember, the cheetah runs from point A to point B and back to point A.

Total distance = r1 t1+ r2 t2

Average rate = Total distance / total time

=  r1 t1+ r2 t2/ t1+ t2

=70t+ 40t/ 2t

=110t/2t

= 55mph

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Going from point A to point B, the cheetah traveled at an average rate of 70 mph. Returning to point A, the cheetah traveled at an average rate of 40 mph. Using the equation for average rate above determine the cheetahs average rate for the entire trip

Answer:

319,770 different task force groups might possibly be formed

Step-by-step explanation:

The order in which the members of the task force are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In this question:

Groups of 8 from a set of 22. So

\(C_{22,8} = \frac{22!}{8!(22-8)!} = 319770\)

319,770 different task force groups might possibly be formed

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Measure of angle  ∠R = 55° , Measure of ∠S = x+10 =55+10 = 65°, Measure of ∠T = x+5= 55 + 5 =60°

Recall that a triangle is a three-sided polygon that consists of three edges and three vertices.

Since we have given that RST is a triangle,

Angle S is 10° greater than angle R and

angle T us 5° less than Angle S

Let the measure of ∠R be 'x'.

Let the measure of ∠S be 'x+10'

Let the measure of ∠T be 'x+10-5'='x+5'

As we know that "Sum of all angles in triangle is 180°.

So, it becomes,

∠R + ∠S + ∠T =180°

x + x + 10 + x + 5 = 180

3x +15 = 180

3x = 180-15

3x = 165

x = 165/3

x =55

So, Measure of ∠R = 55°

Measure of ∠S = x+10 =55+10 = 65°

Measure of ∠T = x+5= 55 + 5 =60°

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The value of distance between two points on graph is,

⇒ d = √32 units

We have to given that;

The coordinates of two points are,

⇒ (9, - 4) and (5, -8)

We know that;

The distance between two points (x₁ , y₁) and (x₂, y₂) is,

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

Hence, The value of distance between two points on graph is,

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

⇒ d = √ (5 - 9)² + (- 8 - (-4))²

⇒ d = √ 16 + 16

⇒ d = √32

Thus, The value of distance between two points on graph is,

⇒ d = √32 units

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The difference in speed between Explorer B and Explorer A is 600 miles per hour.

In order to determine how fast the satellites are travelling, the average speed of the satellites have to be calculated. Average speed is the total distance covered per time.

Average speed = total distance / total time

Average speed of Space Explorer B = 74,400 / 12 = 6,200 miles per hour

Average speed of Space Explorer A = 72,800 / 13 = 5,600 miles per hour

Difference in speed = 6,200 miles per hour - 5,600 miles per hour = 600 miles per hour.

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Answer:

5+r=6-r

-5 -5

r=1-r

+r +r

2r=1

÷2 ÷2

r=1/2

Answer:

first graph

Step-by-step explanation:

x > n

the graph will have an open circle at the value n , indicating that x cannot equal n ( note solid circle if x ≥ n )

the arrow from n will point in the right direction, indicating values of x greater than n.

the graph representing x > n is the first graph

The point that is 1/3rd of the distance from (-4.5,0) to (0,9) is (-3,3).We use a formula similar to the midpoint formula for finding the point.

We have been given two points (-4.5,0) and (0,9), we have to find the point is on the line formed by these two points and is 1/3rd away. We don't need to find the distance between these two points to find the asked point. We have to use a formula that is similar to finding the midpoint of a line. For two points (a,b) and (x,y) the midpoint is (\(\frac{a+x}{2} ,\frac{b+y}{2}\)).We used equal parts of the two points to find the midpoint, for 1/3rd we will be using uneven parts of the two points.

\(x_{1} =\frac{2}{3} (-4.5)+\frac{1}{3} (0)=-3\)

\(y_{1} =\frac{2}{3} (0)+\frac{1}{3} (9)=3\)

Therefore the point that lies 1/3rd of the distance from (-4.5,0) and (0,9) is (-3,3).

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The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer:

A positive 15

Step-by-step explanation:

The key word earn tells us he's gaining.

Answer:

  6.3

Step-by-step explanation:

You want the length of midsegment DE, parallel to CA, given as length 12.6.

∆BDE ~ ∆BAC, so ...

  BD/BA = DE/AC . . . . . corresponding sides are proportional

  BD/(BD +DA) = BD/(BD +BD) = 1/2 = DE/12.6

Multiplying by 12.6, we get ...

  DE = 12.6(1/2) = 6.3

The length of DE is half the length of CA, so is 6.3.

__

Additional comment

We cannot tell if 6 is supposed to be the answer to the question with ending statement, "The length of side CA is 12." (6 would be the correct answer in that case.) We have assumed that segment CA is 12.6, as written.

The length of a triangle midsegment is always half the length of the parallel base. (A "midsegment" joins the midpoints of the segments it intersects.)

Answer:

I solved it and my answer is 29

Step-by-step explanation:

the first : e.g. a trapezoid

only 2 lines are parallel, but still it is a closed object with 4 vertexes and therefore 360° sum of internal angles. and 2 of the angles are smaller than 90°, and 2 are larger than 90°.

the second : a parallelogram, with all 4 sides having the same length. a square that is pushed e.g. on the top while the bottom stays.

the third : a rectangle. perpendicular means intersecting at 90°. but not a square. length and width must be different.

that's it, really. what was so confusing for you ?

Step-by-step explanation:

Vertical angles are equal   r = 70 degrees

Answer:

Step-by-step explanation:

R= 2,1 Q= 3,3 P= 1,4

The value of angle 1 given the value of angle 4 as 47° will be 133°

Parallel lines are two lines on a two-dimensional plane that, no matter how far they are extended, never collide. They always keep the same gap between them.

Parallel lines have the same slope, which means they have the same angle of inclination or steepness. In other words, they rise and fall at the same pace along their length.

The value will be:

= 180° - 47°

= 133°

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Answer:

  AB = 8

Step-by-step explanation:

Since C is the midpoint, ...

  AC = CB

  5x -6 = 2x

  3x = 6 . . . . . . . add 6-2x

  x = 2

Then the length of AB is ...

  AB = 2(CB) = 2(2x) = 4(2)

  AB = 8

The population size varies in several ways. The sample size was insufficient, which is the best explanation for why the simulation of the sampling distribution is not roughly normal.

A person's or a researcher's choice of sample size will limit the study's statistical power if it is too small or inadequate for the alpha level and the analyses they have decided to do.

Because of the aforementioned, it is much harder to determine from one's sample whether a statistical effect is existent in the population.

A sample size that is either too small or too large can affect the ability to extrapolate the results, with the latter increasing the detection of differences and accentuating statistical differences that are not clinically significant.

The complete question is:-

A recent survey indicated that the mean time spent on a music streaming service is 210 minutes per week for the population of a certain country. A simulation was conducted to create a sampling distribution of the sample mean for a population with a mean of 210. The following histogram shows the results of the simulation.Which of the following would be the best reason why the simulation of the sampling distribution is not approximately normal?

A. The samples were not selected at random.

B . The sample size was not sufficiently large.

C. The population distribution was approximately normal.

D. The samples were selected without replacement.

E. The sample means were less than the population mean.

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The surface area of the cylinder is 48π inches².

Surface area of a cylinder = 2πr(r + h)

where

Therefore,

Surface area of the smaller cylinder = 2 × π × 2(2 + 10)

Surface area of the smaller cylinder = 4π(12)

Surface area of the smaller cylinder = 48π

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Answer:

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

We observe that the sequence is decreasing with common difference of - 3.

Therefore, this is an AP, with the first term of t(1) = 13 and common difference of d = -3.

Use the nth term formula for AP:

Answer:

a)  Arithmetic sequence

b)  t(n) = 16 - 3n

Step-by-step explanation:

An Arithmetic Sequence has a constant difference between each consecutive term.

A Geometric Sequence has a constant ratio (multiplier) between each consecutive term.

From inspection of the given table, t(n) decreases by 3 each time n increases by 1.  Therefore, the sequence is arithmetic with a common difference of -3.

\(\boxed{\begin{minipage}{8 cm}\underline{General form of an arithmetic sequence}\\\\$a_n=a+(n-1)d$\\\\where:\\\phantom{ww}$\bullet$ $a_n$ is the nth term. \\ \phantom{ww}$\bullet$ $a$ is the first term.\\\phantom{ww}$\bullet$ $d$ is the common difference between terms.\\\phantom{ww}$\bullet$ $n$ is the position of the term.\\\end{minipage}}\)

Given:

Substitute the initial value (when n = 1) and the common difference into the formula to create an equation for the nth term:

\(\implies t(n)=13+(n-1)(-3)\)

\(\implies t(n)=13-3n+3\)

\(\implies t(n)=16-3n\)

The length of the square in centimetres in algebraic expression is 25m

The perimeter of a square is m meters.

The length of the each side of the square in centimetres can be represented in an algebraic expression as follows:

Therefore,

perimeter of a square = 4l

where

Therefore,

m = 4l

where

l = m / 4 meters.

Therefore, the side length of the square in centimetres is as follows:

1 meters = 100 cm

m / 4 meters  = ?

cross multiply

length of the square in meters = m / 4 × 100

length of the square in meters = 100m / 4

length of the square in meters = 25m

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Answer:

B.

Step-by-step explanation:

The value of the radical √48 is 4√3.

Radical is a symbol (√) that denotes square roots and nth roots. The number inside the symbol is called Radicand and the expression containing the radical or a square root is called a Radical expression.

Here, we are given the radical √48

To find the value of the radical, we will factorize 48

i.e., 48 = 2×2×2×2×3

           = 16×3

Now, the square root of 48, that is, √48

                                                       = \(\sqrt{16\cdot3}\) =\(\sqrt{16} \cdot \sqrt{3}\)

We know 16 is a perfect square of 4, that is, the square root of 16= 4

⇒√16=4

Using this, we have √48= 4√3

The correct answer is 4√3.

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2.4 please follow mee i think this is answer

a. The secant slope through (-2,4) and (0,0) is -2.

b. The secant slope through (-1.5,2.25) and (-0.5,0.25) is -2.

The estimated slope of the tangent line to f(x) = x^2 at x = -1 is approximately -2.

To estimate the slope of the tangent line to the function f(x) = x^2 at x = -1, we can find the slopes of the secant lines through different pairs of points.

a. (-2,4) and (0,0):

The coordinates of the two points are (-2, 4) and (0, 0). We can calculate the slope of the secant line passing through these points using the formula:

msec = (y2 - y1) / (x2 - x1)

Plugging in the values, we get:

msec = (0 - 4) / (0 - (-2))

= -4 / 2

= -2

So, the slope of the secant line passing through (-2, 4) and (0, 0) is -2.

b. (-1.5, 2.25) and (-0.5, 0.25):

The coordinates of the two points are (-1.5, 2.25) and (-0.5, 0.25). Using the slope formula, we can calculate the slope of the secant line passing through these points:

msec = (0.25 - 2.25) / (-0.5 - (-1.5))

= (-2) / (1)

= -2

So, the slope of the secant line passing through (-1.5, 2.25) and (-0.5, 0.25) is -2.

By finding the slopes of the secant lines, we have estimated the rate of change of the function f(x) = x^2 at x = -1. The slope of the tangent line at this point will be very close to these secant slopes, particularly as the two points used to calculate the secant lines get closer together.

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