Evaluate 7 Σ n=1 2(-2)^n-1.

Answer:

14<14*1.5

Step-by-step explanation:

This is because 14*1.5 is 21. 21 is greater than 14. I hope this helped you out!!

Answer:

5, 7, 8, 12, 13, 17, 20

Step-by-step explanation:

REMEMBER: THE MEDIAN IS THE 'MIDDLE NUMBER' OF A DATA SET

Also, in order to find the median, the numbers must be in numerical order.

Answer/explanation:

Multiply to remove the fraction, then set equal to 0 and solve.

Inequality Form:

m≥−98

Interval Notation:

[−98,∞)

hope this helps

Answer:

\(n=4\)

Step-by-step explanation:

Expand  −2(1−7n):    −2+14n

5n+34=−2+14n

Subtract 34 from both sides

5n+34−34=−2+14n−34

Simplify

5n=14n−36

Subtract 14n from both sides

5n−14n=14n−36−14n

Simplify

−9n=−36

Divide both sides by −9

−9n

−9 =

−36

−9

Simplify

n=4​

(8,-5/2) or (8,-2.5)

(7,2) (9,-7)

9+7    -7+2

2         2

16     -5

2       2

(8, -5/2) or (8,-2.5)

Answer:

The answer is ≈3 to the nearest whole number

Step-by-step explanation:

using SOH CAH TOA

BCA

sin0=opp/hyp

sin0=7.9/11

0=sin‐¹(7.9/11)

0=46 to the nearest degree

<A=<D

so,<EDF=46°

tan0=adj/hyp

tan46=x/3.3

x=tan46×3.3

x=3 to the nearest whole number

Answer:

yo that a hard question i honeslty dont know

Step-by-step explanation:

Answer: 4548

Step-by-step explanation:

Answer:

Magnitude and Direction is 928 and 44

Step-by-step explanation:

For a Vector w = (x)i+(y)j

The Magnitude of w \(=\sqrt{x^{2} +y^{2} }\)

and the Direction of w \(=tan^{-1}(\frac{y}{x} )\)

So for our Question , w = - 168i - 160j

Then -4w = -4 (- 168i - 160j) = (-4*-168)i +(-4*-160)j = 672i + 640j

Then the Magnitude of -4w = \(\sqrt{672^{2} +640^{2} } =928\)

and the Direction of -4w = \(tan^{-1}(\frac{640}{672} )=tan^{-1}(\frac{20}{21} )=44\) ( to the nearest whole number)

Hope it Helps:)

Answer:

3

Step-by-step explanation:

x = smallest

x + 1

x + 2 = largest

x + 2 = 3x

2 = 2x

x = 1

3 consecutive numbers:  1, 2, 3

The median would best compare the centers of the data

from

Class 1 and class 2

In class 1, we have no outliers

So, we use the mean as the centers of the data

In class 2, we have outliers

So, we use the median as the centers of the data

Since we are using median in one of the classes, then we use median in both classes

Hence. the median would best compare the centers of the data

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Answer:

I am sorry I would love to help but I can't fiqure it out without the side length.

Step-by-step explanation:

btw i know its not your fault i dont  see the width

Answer:

10

Step-by-step explanation:

a^2 + b^2 = c^2 (Pythagorean Theorem)

The length is 8(a)

The width is 6(b)

C is the unknown

8^2+6^2 = 100

then you need to square root the 100

\(\sqrt{100} = 10\)

35/864 is the probability that the same color is recorded both times .

How does probability explain work?

7/12*1/2 = 7/24

red marbles =  5/12*1/3 ⇒ 5/36

the probability =  7/24*5/36 ⇒ 35/864

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Since the volume of the sphere V = 36π cm³is less than that of the cone, V' = 45π cm³ the ice cream will not overflow.

The volume of a sphere is given by V = 4πr³/3 where r = radius of sphere

To determine if the ice cream above is going to melt and when it does, will it fit in the cone or will it overflow? We know that the ice cream is a sphere, the ice cream will not overflow if the volume of the ice cream equals the volume of the cone. If its volume is greater than the volume of the cone, it will overflow.

We know that the ice cream is a sphere, we determine its volume as V = 4πr³/3 where r = radius of sphere = 3 cm

We substitute the variable into the equation,

V = 4πr³/3

V = 4π(3 cm)³/3

V = 4π × 27 cm³/3  

= 4π × 9 cm³

= 36π cm³

Next, we determine the volume of the cone to be V' = 1/3πr²h where

We now substitute the variables into the equation, thus

V' = 1/3πr²h

V' = 1/3π(3 cm)² × 15 cm

= 1/3π × 9 cm² × 15 cm

= 3π cm² × 15 cm

= 45π cm³

We see that V = 36π cm³ < V' = 45π cm³

Since the volume of the sphere is less than that of the cone, the ice cream will overflow.

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The the antioxidation activity of the substance has been found to depend on concentration in the activity of the substance has been found to depend on concentration are

a. Let B(c) = A(c) - L and reformulate the given initial value problem in terms of this new dependent variable, B. The new dependent variable B is related to A by B(c) = A(c) - L. Rearrange this to isolate A in terms of B as A(c) = B(c) + L.

Substitute the expression for A in terms of B into the original equation to obtain: d/dcb[c + L - B(c)] = k[B(c)]Where we apply the chain rule to obtain the left-hand side: dA/dc = d/dcb[c + L - B(c)] = -dB/dc.

b. Solve the initial value problem for B(c) and then determine the quantity A(c).We now have a separable first-order differential equation:-1/B dB = k/dc With boundary condition B(0) = -L Substituting in we get the solution ln(|B(c)|) = -kc + ln(|B(0)|) = kc + ln(L)Signs are ignored here since we are taking the absolute value, and the constant of integration is chosen to match the given initial value.

This can be solved for B as:B(c) = L e^(-kc)Hence the quantity A(c) is given by: A(c) = B(c) + L = L(1 - e^(-kc))

c. Determine the concentration at which 95% of the limiting antioxidation activity is achieved. Letting A(c) = 0.95L and solving for c gives: c = -ln(0.05)/k Therefore, the concentration at which 95% of the limiting antioxidation activity is achieved is -ln(0.05)/k.

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Connie's total bill is sum of trail mix and water will be  $9.13.

What is sum ?
In mathematics, the sum refers to the result of adding two or more numbers together. It is a basic arithmetic operation, often used in many different mathematical concepts and calculations. The symbol for addition is '+', and the sum of a set of numbers is often represented using the capital Greek letter sigma (∑).

According to the question:

Connie's total bill would be the sum of the cost of the trail mix and the cost of the water, which is:

Total bill = cost of trail mix + cost of water

Total bill = $6.98 + $2.15

Total bill = $9.13

Therefore, Connie's total bill was $9.13.

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The value of b for which the difference between the fractions

 (2b - 1) / 2 and  (1 + 5b) / 4 negative will be;

⇒ b < -3

What is Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts.

Given that;

Two fractions are,

⇒ (2b - 1) / 2 and  (1 + 5b) / 4

Since, The difference between the fractions  (2b - 1) / 2 and  (1 + 5b) / 4 negative.

So, we can formulate;

⇒ (1 + 5b) / 4 - (2b - 1) / 2 < 0

Solve for b, as;

⇒ 1 + 5b - 2 (2b - 1) < 0 x 4

⇒ 1 + 5b - 4b + 2 < 0

⇒ b + 3 < 0

Subtract 3 both side;

⇒ b + 3 - 3 < 0 - 3

⇒ b < -3

Therefore, The value of b for which the difference between the fractions  (2b - 1) / 2 and  (1 + 5b) / 4 negative will be;

⇒ b < -3

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Answer:

24000

Step by step

20×10×80 = 16000+ 40×10×20=8000 = 24000

The survival time of a 60kg deer without food at -20 degrees Celsius depends on various factors, including its age, sex, and physical condition. However, assuming the deer is healthy and has 5kg of fat, it could potentially survive for around 30 to 50 days without food.

The exact survival time can vary depending on several factors, such as the deer's level of physical activity, environmental conditions, and how much energy it is expending to stay warm in the cold temperature. Additionally, if the deer is able to find sources of water, this can also increase its chances of survival.

It's important to note that this is just an estimate and that the actual survival time may vary. If the deer is injured or sick, its chances of survival may be reduced, and it may not be able to survive as long without food.

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Complete Question

How many days could a 60kg deer survive without food at -20 degrees Celsius if it has 5kg of fat?

Step-by-step explanation:

Angles in a quadrilateral add to 360 degrees. So, x = 360-88-142-106=24 degrees

Sorry I couldn't really do the equation, but I found this! Hope this helps! Have a nice day. Also I can send you the link, but only if you want.

Answer:

-2.43655

Step-by-step explanation:

AnsweStep-by-step explanation:

9134

Step-by-step explanation:

Remember that :

1 m = 100 cm

6¾ m = 27/4m

now, result times 100, then :

27/4 . 100 = 675 cm

Subject : Mathematics

Level : ES

Chapter : Measurement

a) Timothy's bike costs $20.It's important to note that the given percentage value represents a proportion or fraction of the original cost, allowing us to calculate the specific cost

To find the cost of Timothy's bike, we need to calculate 20% of Katie's bike cost.

20% of $100 can be calculated by multiplying $100 by 0.20:

20% * $100 = $20.

Therefore, Timothy's bike costs $20.

To calculate 20% of $100, we multiply $100 by the decimal equivalent of 20%, which is 0.20:

20% * $100 = 0.20 * $100 = $20.

In this scenario, Timothy's bike is priced at 20% of Katie's bike cost. This means that Timothy's bike is relatively less expensive compared to Katie's bike. It's important to note that the given percentage value represents a proportion or fraction of the original cost, allowing us to calculate the specific cost of Timothy's bike based on the given percentage relationship.

Based on the given information, Timothy's bike costs $20, which is 20% of Katie's bike cost.

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The probabilities for AUB, A© , and B of two events A and B are 0.65,0.35, 0.55

a) To find the probability of the union of two events A and B, we use the formula P(AUB) = P(A) + P(B) - P(A∩B). We are given P(A) and P(A∩B), but we need to find P(B) first. We know that P(BC) = 0.45, which means that P(B) = 1 - P(BC) = 1 - 0.45 = 0.55. Now we can plug in the values to get P(AUB) = 0.35 + 0.55 - 0.25 = 0.65.

b) To find the probability of the intersection of two events A and B, we use the symbol © (which means "and" or "intersection"). We are asked to find P(A©), which is the same as P(A). We are given that P(A∩B) = 0.25, but we can't use that to find P(A) directly. Instead, we use the fact that P(AUB) = P(A) + P(B) - P(A∩B) = 0.65. We already found P(AUB) in part (a), so we can rearrange the formula to solve for P(A): P(A) = P(AUB) - P(B) + P(A∩B) = 0.65 - 0.55 + 0.25 = 0.35. Therefore, P(A©) = P(A) = 0.35.

c) We already found P(B) in part (a): P(B) = 0.55.

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The diagrams to show each of five postulates of Euclidean geometry has been attached below.

Euclid's Postulates are a set of axioms or assumptions that form the basis for Euclidean geometry, which is the study of points, lines, planes, and other geometric shapes in two and three dimensions. These postulates are significant because they establish a consistent and rigorous set of rules for geometric reasoning and proof, and they form the foundation for much of modern mathematics.

The five postulates of Euclidean geometry are:

1.Any two points can be joined by a straight-line segment.

2.In a straight line, any straight-line segment can always be extended indefinitely.

3.Any straight-line segment can be used to draw a circle with the segment as the radius and one endpoint as the centre.

4.All right angles are congruent.

5.When two lines intersect a third in such a way that the sum of the inner angles on one side is less than two right angles, the two lines will eventually intersect on that side if they are stretched far enough.

These postulates are significant because they establish a consistent set of rules that can be used to prove geometric theorems and solve geometric problems. They are also important because they define the concepts of points, lines, angles, and other geometric shapes in a precise and rigorous way, which allows for more complex geometric constructions and calculations to be made.

Overall, Euclid's Postulates form the foundation for much of modern mathematics, and they continue to be studied and used by mathematicians and scientists today.

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