A number plus one is greater than negative five and less than three.

Answer:

7) -8 , -4 , -3 , 3 , 4 , 9

8) -200 , -197 , -110 , -65 , 15 , 167

9) -5 , -2 , 2 , 4 , 7

Step-by-step explanation:

The larger the negative number the further away it is from zero so it is smaller.

Negative numbers are always smaller than positive numbers.

Answer:

2 radians

Step-by-step explanation:

the arc length is calculated as

arc = circumference of circle × fraction of circle

let x be the central angle , then

arc = 2πr × \(\frac{x}{2\pi }\) ( cancel 2π on numerator and denominator )

    = 2r × x

given arc length = 40 , then

2 × 10 × x = 40

20x = 40 ( divide both sides by 20 )

x = 2

the central angle has a measure of 2 radians

Answer:

From the RHS:

Cot^4θ-tan^4θ

=(cos^2θ/sin^2θ)*(cos^2θ/sin^2θ)-(sec^2-1)*(sec^2-1)

=(1-sin^2θ)/(sin^2(θ))*(1-sin^2θ)/(sin^2(θ))-(sec^4θ+2sec^2θ+1)

=(cosec^2θ-1)*(cosec^2θ-1)-sec^4θ+2sec^2θ-1

=cosec^4θ-2cosec^2θ+1-sec^4θ+2sec^2θ-1

=cosec^4θ-2cosec^2θ-sec^4θ+2sec^2θ

=LHS

Step-by-step explanation:

Answer:  see proof below

Step-by-step explanation:

Use the following Pythagorean Identities:

sec²A = tan²A + 1

csc²A = 1 + cot²A

Use group factoring:  a(x + y) + b(x + y) = (a + b)(x + y)

Proof LHS → RHS

Given:                    2sec²Ф      - sec⁴Ф             -     2csc²Ф       + csc⁴Ф

Pythagorean:        2(tan²Ф + 1) - (tan²Ф + 1)²    +   -2(1 + cot²Ф) + (1 + cot²Ф)²

Group Factoring:   (tan²Ф + 1)(2 - tan²Ф - 1)     +    (1 + cot²Ф)(-2 + 1 + cot²Ф)

Simplified:               (tan²Ф + 1)(1 - tan²Ф)           +    (1 + cot²Ф)(cot²Ф - 1)

Multiplied:               tan²Ф - tan⁴Ф + 1 - tan²Ф   +    cot²Ф - 1 + cot⁴Ф - cot²Ф

Simplified:                                         1  - tan⁴Ф   +    cot⁴Ф - 1

                                                    =      - tan⁴Ф  +  cot⁴Ф  

                                                    =        cot⁴Ф  - tan⁴Ф    

cot⁴Ф  - tan⁴Ф = cot⁴Ф  - tan⁴Ф    \(\checkmark\)

Answer:

a9=2

a11=15.4

a3=?

________

a3 = −38.2

Step-by-step explanation:

Hope this helps u . ♡

Following are all of the subparts' solutions using the probability formula:

Red ball (A) P: 5/8

(B) P: 7/8 (NOT Yellow)

(C) P(yellow or white): 3/8

Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true.

The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.

Probability formula: P(E) = favorable events/Total events

(A) P(red ball):

P(E) = favorable events/Total events

P(E) = 5/8

(B) P(NOT Yellow)

P(E) = favorable events/Total events

P(E) = 7/8

(C) P(white or yellow)

P(E) = favorable events/Total events

P(E) = 3/8

Therefore, the answers to all the subparts using the probability formula are shown:

(A) P(red ball): 5/8

(B) P(NOT Yellow): 7/8

(C) P(white or yellow): 3/8

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There is 50% increase in the change in the volume of cylinder A to A

The formula for the volume of the cylinder is given as

         V = Πr^2h              (1)

  Where, r = radius of the cylinder

                h = height of the cylinder

We have been given the radius and height of cylinder A which are,

       r = 10 inches

       h = 5 inches

Now putting the required values in equation (1) we get

 V = Π(10)^2(5) cubic inches

 V = Π*100*5 cubic inches

V = 500Π cubic inches

We have also been given the volume of cylinder B = 750Π

Thus percentage change in volume of cylinder = (750Π - 500Π)/500Π * 100

                                                                                   = 50%

Hence there is 50% increase in the change of the volume from cylinder A to B

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The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.

Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40

We know that the formula for magnification is given by:

m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :

f = r/2where,f = focal length of the mirror

Using the mirror formula:1/f = 1/v - 1/u

We know that a concave mirror has a positive focal length, so we can replace f with r/2.

We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u

Also, from the given data, we have :m = v/u

Substituting the value of v/u in terms of m, we get: u/v = 1/m

So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u

Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm

Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.

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Answer: -19.2

Step-by-step explanation:

Answer:

5 cubed is 5 x 5 x 5 = 125.

10 squared is 10 x 10 = 100.

So, 5 cubed - 10 squared = 125 - 100 = 25.

We can also express 25 as a power of 5 by noting that 25 = 5 squared. Therefore:

5 cubed - 10 squared = 5 squared x 5 - 10 squared = 5^(2+1) - 10^(2) = 5^3 - 10^(2) = 125 - 100 = 25.

So, the answer is 5 squared or 5^2.

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

5 cubed - 10 squared

\(5^{3} - 10^{2} \\ = 125 - 100\\= 25\)

Hope this helps!

Brainliest and a like is much appreciated!

Given:

Total number of curlers = 16

Pink Curlers = 1/4 of 16

Green Curlers = same with pink = 1/4 of 16

Soda Cans = 16 curlers minus pink and green curlers

To determine how many soda can curlers are in Carrie's head, let's determine first how many pink and green there are.

Since there are 1/4 of the curlers are pink, let's determine how many curlers exactly are pink by multiplying 1/4 to 16.

Therefore, there are 4 pink curlers. Similarly, there are also 4 green curlers since it is stated in the problem that they have the same count.

So, 16 curlers minus 4 pink and 4 green curlers, there are 8 soda cans curlers in Carrie's head.

Answer:

\(\sqrt{17}\)

Answer:

$3.20

Step-by-step explanation:

1.60 x 2 = $3.20

You need $3.20 to buy 2 scoops of ice cream.

Answer:

Step-by-step explanation:

Since the cost of one ice cream scoop is $1.60, you would either have to add $1.60 two times, or multiply 1.60x2.

$1.60+$1.60 or 1.60x2=$3.20.

Therefore, the answer to the question would be “$3.20 would be needed to buy two scoops of ice cream.”

5 km = 5000 meters

66 minutes = 3960 seconds

Meters per second = 5000/3960 = 1.26

The answer is A.1.26

Answer:

D square root of 10 over 5

Step-by-step explanation:

sec means \(\frac{1}{x}\), so if sec of theta is \(\frac{\sqrt{10} }{2}\) in this situation then you can set those equal to one another to get x.

x=\(\frac{\sqrt{10} }{5}\)

cos is just another way to say x so what you got for x is your answer

The secant of theta is equal to the square root of 10 over 2 comma what is, then the value of cos is square root of 10 over 5 .The correct option is d.

For a right angle triangle, secant of the angle formed by the sides opposite to hypotenuse is equal to the ratio of Hypotenuse and the base of triangle,

Given the value of sec of θ

secθ = sqrt (10)/2

Then cos θ = 1/secθ

Plug the value, we get

secθ=  sqrt  (10) / 5

Thus, the correct option is d.

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Answer:

\(\sqrt{5*4-3*2}\)=\(\sqrt{14}\)

Step-by-step explanation:

Operations are used to represent algebraic expressions

The value of 4∎2 is \(\mathbf{ \sqrt{14}}\)

The operation is given as:

\(\mathbf{a\ n\ b = \sqrt{(5a - 3b)}}\)

4∎2 means that a = 4 and b = 2.

So, we have:

\(\mathbf{4\ n\ 2 = \sqrt{(5(4) - 3(2))}}\)

Expand

\(\mathbf{4\ n\ 2 = \sqrt{(20 - 6)}}\)

\(\mathbf{4\ n\ 2 = \sqrt{14}}\)

Hence, the value of 4∎2 is \(\mathbf{ \sqrt{14}}\)

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Answer:

The probability that exactly 11 of the chosen clay objects are vases

P(X = 11 ) = 0.16472

Step-by-step explanation:

Step(i):-

Given students created 19 clay objects, 12 of which were vases

probability of successes

                            \(p = \frac{x}{n} = \frac{12}{19} = 0.6315\)

q  = 1 - p = 1 - 0.6315 = 0.3685

Step(ii):-

Given  n = 16

Let 'X' be the random variable in binomial distribution

\(P(X = r) = n _{C_{r} } p^{r} q^{n-r}\)

The probability that exactly 11 of the chosen clay objects are vases

\(P(X = 11) = 16 _{C_{11} } (0.6315)^{11} (0.3585)^{16-11}\)

we will use formula

\(n_{C_{r} } = \frac{n!}{(n-r)!r!}\)

\(n_{C_{r} } =n_{C_{n-r} }\)

\(16_{C_{11} } =16_{C_{16-11} }= 16_{C_{5} } = \frac{16 X 15 X 14 X 13 X 12}{5 X 4 X 3 X 2 X 1} = 4368\)

\(P(X = 11) = 4368 (0.006369)(0.005921)\)

P(X = 11 ) = 0.16472

Conclusion:-

The probability that exactly 11 of the chosen clay objects are vases

P(X = 11 ) = 0.16472

The significance of the Louisiana Purchase to the United States and France includes the following:

The United States: Would expand its territory further, have access to the Mississippi River and enjoy more national security.

France: Would get rid of a territory that troubled it and would also enjoy the financial gain of the deal.

The two countries that engaged in the Louisiana Purchase also had risks that they would encounter.

For the United States, the risks included the possibility of having conflicts with Native Americans, and for France, some risks included losing some of its territory to America and having the United States as a rival.

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The surface area of the pyramid is given by the equation A = 170.4 inches²

The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid

Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Given data ,

Let the surface area of the pyramid be represented as A

Now , the equation will be

The slant height of the pyramid h = 6 inches

The side of the equilateral triangle = 12 inches

So , the perimeter of the triangle = 3 x side length

Substituting the values in the equation , we get

The perimeter of the triangle = 36 inches

The area of the base = 62.4 inches²

So , Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Substituting the values in the equation , we get

Surface Area of Pyramid = 62.4 + ( 1/2 ) ( 36 x 6 )

On simplifying the equation , we get

Surface Area of Pyramid = 62.4 + ( 108 )

Surface Area of Pyramid = 170.4 inches²

Hence , the surface area of pyramid is 170.4 inches²

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Answer:

\(\boxed{\tt y=48}\)

Step-by-step explanation:

\(\tt \cfrac{3}{16}=\cfrac{9}{y}\)

Cross multiply:-

\(\tt 3 \times y=(9)\times (16)\)

\(\tt 3y=144\)

Divide both sides by 3:-

\(\tt \cfrac{3y}{3}=\cfrac{144}{3}\)

Simplify:-

\(\tt y=48\)

_________________

Hope this helps!

Answer:y=48 I hope this is helpful good luck have a good day

Step-by-step explanation:

3/16 = 9/y

Determine the defined range

3/16=9/y y=0 cross out the equal sign y=0

Simplify the equation using cross-multiplication

3y=144

Divide both sides of the equation by 3

y=48

Check if the solution is in the defined range

When you get a message from Amazon, which looks like gibberish, then you should use the company's public key to turn the gibberish into sensible English.

This action should increase your confidence that Amazon actually sent you that message.

Why is it important to use the public key?It is important to use the company's public key to encrypt the message so that only the intended recipient can decrypt it using their private key.

Because each person has a unique private key, the person with the private key that corresponds to the public key that encrypted the message is the only one who can read it.

Public key cryptography is used in secure messaging systems such as PGP (Pretty Good Privacy), SSL (Secure Sockets Layer), and SSH (Secure Shell).

How does the public key cryptography work?Public key cryptography works using two keys, a public key, and a private key.

These keys are used for encrypting and decrypting messages.

The public key is used to encrypt messages, while the private key is used to decrypt them.

The public key can be freely distributed, while the private key is kept secret.

When someone sends you a message, they use your public key to encrypt it.

Then, when you receive the message, you use your private key to decrypt it.

This way, only you can read the message, and nobody else can read it, even if they intercepted it.

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You would need to wait approximately 51.33 years from now to grow your initial investment of $39,000 to $174,000 at an interest rate of 10% per year.

To calculate the number of periods (years) required to grow an initial investment to a desired future value, we can use the formula for compound interest:

FV = PV * \((1 + r)^n\)

Where:

FV is the future value

PV is the present value (initial investment)

r is the interest rate per period

n is the number of periods

In this case:

PV = $39,000

FV = $174,000

r = 10% per year

Let's calculate the number of periods (years):

FV = PV * \((1 + r)^n\)

174,000 = 39,000 * \((1 + 0.10)^n\)

Divide both sides by 39,000:

4.4615 = \((1.10)^n\)

Take the logarithm of both sides to solve for n:

log(4.4615) = n * log(1.10)

n ≈ log(4.4615) / log(1.10)

n ≈ 2.1270 / 0.0414

n ≈ 51.33 (rounded to two decimal places)

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The correct statement is systematic error is not compensable, while random error is compensable. Option d is correct.

Systematic error refers to a consistent and predictable deviation from the true value in the same direction, usually caused by flaws in the measurement process. Systematic errors are not compensable because they cannot be reduced or eliminated by repeating the measurements. They affect all measurements in a consistent manner.

On the other hand, random error refers to the unpredictable fluctuations or variations in measurement readings around the true value. Random errors are caused by factors such as environmental noise, instrument limitations, or human error.

Random errors can be reduced or minimized by taking multiple measurements and applying statistical techniques. By averaging multiple measurements, the random errors tend to cancel out, allowing for a more accurate estimation of the true value.

Therefore, d is correct.

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Answer:

Zero

Step-by-step explanation:

Given: 3x+13=3(x+6)+1

Step 1: Expand

3x+13=3x+19

Step 2: Subtract 3 from both sides

3x+13-13=3x+19-13

Step 3: Simplify

3x=3x+6

Step 4: Subtract 3x from both sides

3x-3x=3x-3x+6

Step 5: Simplify

0=6

NO REAL SOLUTIONS

Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?  

Answer:

zero

Step-by-step explanation:

3x + 13 = 3(x + 6) + 1

3x + 13 = 3x + 18 + 1

3x - 3x = 18 + 1 - 13

0 = 18 + 1 - 13

0 = 6

NO SOLUTION

The highest score is 12794706708

What is mean ?

The average of a set of data is referred to as the mean in statistics and arithmetic. The simple arithmetic mean, geometric mean, and harmonic mean are some of the methods that can be used to calculate the mean. The basic arithmetic mean involves adding the numbers together and dividing the result by the number of observations.

At first (remaining + top player) /888 = 14514514

So remaining + top = 12888888432

Now after removing top

Remaining/777 = 121212

Remaining = 94181724

So top = 12888888432 - 94181724

           = 12794706708

12794706708 is the score of the top player

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Answer:

In a triangle, the segment joining the midpoints of any two sides will be parallel to the third side and half its length ⇒DE is parallel to AC, and DE = 8, AC=16.

Similarly, DF is parallel to BC, and DF=6, BC=12

Step-by-step explanation:

Similarly, EF is parallel to AB, and EF=3.5, AB=7

Hence, perimeter of ΔDEF = 8+6+3.5 = 17.5

Answer:

volume = 4/3 × pi × r^3

Step-by-step explanation:

Answer:

Calculate the area of the base (which is a circle) by using the equation πr² where r is the radius of the circle. Then, multiply the area of the base by the height of the cylinder to find the volume.

Circumference   =   2 • π • radius   =   π • diameter

Circle Area   =       π • r²     =     ¼ • π • d²

The circumference of a circle is directly proportional to its radius. The ratio between a circle's circumference and its diameter is pi, a constant that equals approximately 3.142. The circle's diameter, in turn equals twice the radius. A regular solid that has a circle as a face is called a cylinder. Like all geometric prisms, a cylinder's volume is the product of its cross-sectional area and its length. The cross-sectional area is the area of its circle, and you can calculate it from the circle's radius. Multiply the circle's radius by 2 to calculate its diameter. For instance, if the radius equals 6 inches, compute as follows to determine the diameter: 6 x 2 = 12 inches. Multiply the diameter by pi to get the circle's circumference: 12 x 3.142 = approximately 37.7 inches. Find the square of the radius: 6 x 6 = 36 square inches. Multiply the answer determined in Step 3 by pi to get the circle's area: 36 x pi = 113 square inches. Multiply the circle's area by the cylinder's length to obtain the volume. If the length is, for instance, 10 inches, then compute as follows: 113 x 10 = 1,130 cubic inches.

Answer:

Total surface area of the pyramid is 236.16cm² and the expression is

2bs + s²

Step-by-step explanation:

Total surface area of a square pyramid is expressed as;

TSA = 2bs + Base Area

b is the side length  of the base = 8.2cm

s is the slant height of the triangular side = 10.3cm

Base area = s²

Base area = 8.2²

Base area = 67.24cm²

TSA = 2(8.2)(10.3)+67.24

TSA = 168.92+67.24

TSA = 236.16cm²

Hence the total surface area of the pyramid is 236.16cm² and the expression is 2bs + s²

Answer:

uhm

Step-by-step explanation:

Answer:

Well if the total equals 180-degrees you have to make an assumption or let someone smarter just do it for you. also that box means it's a 90-degree angle so the rest is cut in half; what times three and seven would equal to 90-degrees? I can't do much anymore my brain hurts lol

Step-by-step explanation:

Hope this helps :)

Answer:

1: 55

2: 27.5

3: 82.5

4: 6,050

Step-by-step explanation: