find the area of the portion of the sphere of radius 4 (centered at the origin) that is in the cone >2 2‾‾‾‾‾‾‾√.

Answer:

\(thank \: you\)

Answer:

see explanation

Step-by-step explanation:

The perimeter is the sum of the 3 sides , then

2x - 6 + x + 4 + 10 > 50

3x + 8 > 50 ( subtract 8 from both sides )

3x > 42 ( divide both sides by 3 )

x > 14

(4)

The area is calculated by multiplying length and breadth , then

3(4x - 2) < 138 ( divide both sides by 3 )

4x - 2 < 46 ( add 2 to both sides )

4x < 48 ( divide both sides by 4 )

x < 12

Answer:

x - 4

Step-by-step explanation:

The difference means subtraction

The algebraic expression of the phrase is x-4.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given phrase:

The difference of x and 4.

Here, we have the phrase difference.

So, we will use the subtraction operation.

So, the algebraic expression,

x - 4.

Therefore, x -4 is the algebraic expression.

To learn more about the expression;

brainly.com/question/24242989  

#SPJ2

184.04 ft high the tower with a lean of 6 degrees, the degree measure of this lean is 3.6 degrees and most likely because either the 13ft lean has not been measured to the top edge of the tower or the side of the tower isn't straight.

In the given question, the tower was 184.5 feet tall.

(a) If the article states that when work began the tower Leaned 6° or 13 feet, off the perpendicular then we have to draw a sketch and label the two measurements.

According to given statement the sketch is given below:

(b) We have to find how much high is the tower with a lean of 6 degrees.

From the graph using the Pythagorean Theorem:

H^2 = 184.5^2- 13^2

H^2 =34040.25-169

H^2 = 33871.25

Taking square root on both side

H=184.04 ft

(c) The article goes on to say that the tower now leans 16 inches less we have to draw a new sketch that shows this measurement.

The graph is given below:

(d) Now we have to find the degree measure of this lean.

We know that the tower leans 16 in less.

So 16in= 1 1/3ft = 4/3 ft = 1.33 ft

Consequently the lean after the work is: 13ft - 1.33= 11.67 ft

Then we can find the "lean" after the work as:

sin ("lean") =11.67/184.5

sin ("lean")= 0.0633

Angel of ("lean") after work = 3.6degrees.

(e) Now we have to find the height of the tower with this lean.

Height with reduced lean is found by using Pythagorean Theorem again:

H^2 = (184.5)^2 - (11.67)^2

H^2 = 34040.25 - 136.19

H^2 = 33904.06

Taking square root on both side, we get

H = 184.13

(f) Now comment on the fact that sin 4° =13/184.5 = 0.07046 while sin 6° = 0.10453. We have to check can we reconcile this seeming discrepancy.

Most likely because either the 13ft lean has not been measured to the top edge of the tower or the side of the tower isn't straight.

To learn more about Pythagorean Theorem link is here

brainly.com/question/28361847

#SPJ4

Answer:

x = 10

Step-by-step explanation:

2x + 5 = 25

-5

2x = 20

/2

x = 10

Answer:

10. please mark as brainliest

Step-by-step explanation:

\(2x = 25 - 5 \\ x = 20 \div 2 \\ x = 10\)

Answer:

y=0x+6

Step-by-step explanation:

Answer:

a = 6

Step-by-step explanation:

Answer: There are no intersections for these two lines, because if you plot them on a graph, they are parallel.

Answer:

18

Step-by-step explanation:

Each color has three styles and there is 6 colorsso eahc style has 6 colors to choose from. We simply multiply 6 with 3.

You get 18

Answer:

660

Step-by-step explanation:

0.66 x 10^3, you move the decimal point to the front three times and you get 660

Based on the given information, the terminal side of angle 0 lies in quadrant III.

To determine the quadrant in which the terminal side of angle 0 lies based on the given information, we can analyze the signs of the trigonometric functions:

(a) Since sine < 0 and cotangent < 0, we can determine the quadrant as follows:

Sine < 0 implies that the y-coordinate (vertical component) of the point on the unit circle corresponding to angle 0 is negative.

Cotangent < 0 implies that the x-coordinate (horizontal component) of the point on the unit circle corresponding to angle 0 is negative.

In quadrant III, both the x and y-coordinates are negative. Therefore, quadrant III is the correct answer in this case.

(b) The information provided in this option is incorrect. "esce" is not a recognized trigonometric function, and "cos > 0" does not provide enough information to determine the quadrant.

Learn more about quadrant at: brainly.com/question/26426112

#SPJ11

Meiosis is comparable to flipping thousands of coins and acquiring one gene for each head or tail result (one allele).

Sexual reproduction involves a significant amount of chance in how genes are passed down. Meiosis is the process through which homologous chromosomes split and go to distinct poles. Each gene in the haploid daughter cells has one allele, but the specific allele that each cell possesses is random. Meiosis can be compared to flipping thousands of coins and getting either a head or a tail (one allele) for each one. Each parent at a single locus has a 50% chance of passing either a head or a tail. Every allele in a population should be transmitted proportionally to its frequency.

In other words, if 10% of a population's alleles are allele A, then 10% of the gametes should also have allele A. Results, particularly for small sample sizes, don't always follow probability, though. The outcome of one coin flip does not affect the outcome of the following coin flip. It is not improbable that a coin will come up heads or tails after being flipped twice. It is extremely unlikely that 10 coin flips will produce 10 heads or 10 tails.

And since it is highly unlikely that all 100 flips of the coin will result in heads (or tails), it can be viewed as impossible. In a small population, random chance can also quickly and significantly alter the frequency of alleles. Genetic drift only has a very little impact on a generation at a time in a huge population. To check your understanding of the idea, watch the animation below and then answer the questions.

The complete question is:

Why is genetic drift a more powerful force in small populations?

To learn more about genetic drift refer to;

https://brainly.com/question/1027688

#SPJ1

Thus, the cost of the triangular lot land is approximately $81,940 found using Heron's formula.

To determine the cost of the triangular lot, you first need to calculate its area and then convert it to acres.

Given the three sides of the triangle (470 yards, 860 yards, and 1130 yards), you can use Heron's formula to find the area.

Heron's formula for the area of a triangle with sides a, b, and c is:
Area = √(s * (s - a) * (s - b) * (s - c))

where s is the semi-perimeter, calculated as:
s = (a + b + c) / 2

In this case, a = 470 yards, b = 860 yards, and c = 1130 yards.

Therefore, the semi-perimeter, s, is:

s = (470 + 860 + 1130) / 2 = 1230 yards

Now, plug the values into Heron's formula to calculate the area:

Area = √(1230 * (1230 - 470) * (1230 - 860) * (1230 - 1130))
Area ≈ 198,342.77 square yards

To convert square yards to acres, use the conversion factor:

1 acre = 4,840 square yards
So, the area in acres is:

198,342.77 square yards * (1 acre / 4,840 square yards) ≈ 40.97 acres

Finally, multiply the area in acres by the price per acre to find the cost:
Cost = 40.97 acres * $2000 per acre ≈ $81,940

The cost of the land is approximately $81,940.

Know more about the Heron's formula

https://brainly.com/question/12454834

#SPJ11

The minimum sample size required for the estimate is 7.

It is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

We have,

Mean = 10.3

Standard deviation = S.D = 2.2

Sample size = n = 0.18

90% confidence interval Z value = 1.65

Now,

( {Mean - Z value (S.D/√n)}, {Mean + Z value (S.D/√n} )

( {10.3 - 1.65 (2.2/√0.18), 10.3 + 1.65 (2.2/√0.18} )

( {10.3 - 8.64}, 10.3 + 8.64} )

(1.66, 18.94)  

Minimum value:

= 1.66

= 7

Thus,

The minimum sample size is 7.

Learn more about mean here:

https://brainly.com/question/23263573

#SPJ1

Answer:

The values of x are:

x : -3, -2, -1, 0, 1, 2, 3

Let's solve each by putting each value of x into each equation:

a \(y = 2^x\)

> x = -3

=> y = 2^(-3) = 1/8

> x = -2

=> y = 2^(-2) = 1/4

> x = -1

=> y = 2^(-1) = 1/2

> x = 0

=> y = 2^0 = 1

> x = 1

=> y = 2^1 = 2

> x = 2

=> y = 2^2 = 4

> x = 3

=> y = 2^3 = 8

b. \(y = -2^x\)

> x = -3

=> y = -2^(-3) = -1/8

> x = -2

=> y = -2^(-2) = -1/4

> x = -1

=> y = -2^(-1) = -1/2

> x = 0

=> y = -2^0 = -1

> x = 1

=> y = -2^1 = -2

> x = 2

=> y = -2^2 = -4

> x = 3

=> y = -2^3 = -8

c. \(y = (3)(2^x)\)

> x = -3

=> y = 3 * 2^(-3) = 3 * 1/8 = 3/8

> x = -2

=> y = 3 * 2^(-2) = 3 * 1/4 = 3/4

> x = -1

=> y = 3 * 2^(-1) = 3 * 1/2 = 3/2

> x = 0

=> y = 3 * 2^0 = 3 * 1 = 3

> x = 1

=> y = 3 * 2^1 = 3 * 2 = 6

> x = 2

=> y = 3 * 2^2 = 3 * 4 = 12

> x = 3

=> y = 3 * 2^3 = 3 * 8 = 24

Input these values into the table.

Answer:

a y = 2^x

> x = -3

=> y = 2^(-3) = 1/8

> x = -2

=> y = 2^(-2) = 1/4

> x = -1

=> y = 2^(-1) = 1/2

> x = 0

=> y = 2^0 = 1

> x = 1

=> y = 2^1 = 2

> x = 2

=> y = 2^2 = 4

> x = 3

=> y = 2^3 = 8

b. y = -2^x

> x = -3

=> y = -2^(-3) = -1/8

> x = -2

=> y = -2^(-2) = -1/4

> x = -1

=> y = -2^(-1) = -1/2

> x = 0

=> y = -2^0 = -1

> x = 1

=> y = -2^1 = -2

> x = 2

=> y = -2^2 = -4

> x = 3

=> y = -2^3 = -8

c. y = (3)(2^x)

> x = -3

=> y = 3 * 2^(-3) = 3 * 1/8 = 3/8

> x = -2

=> y = 3 * 2^(-2) = 3 * 1/4 = 3/4

> x = -1

=> y = 3 * 2^(-1) = 3 * 1/2 = 3/2

> x = 0

=> y = 3 * 2^0 = 3 * 1 = 3

> x = 1

=> y = 3 * 2^1 = 3 * 2 = 6

> x = 2

=> y = 3 * 2^2 = 3 * 4 = 12

> x = 3

=> y = 3 * 2^3 = 3 * 8 = 24

Step-by-step explanation:

Answer:

5 years and 5 months

Step-by-step explanation:

Compound Interest Formula

\(\large \text{$ \sf A=P(1+\frac{r}{n})^{nt} $}\)

where:

Given:

Substitute the given values into the formula and solve for t:

\(\implies \sf 17474=7790\left(1+\dfrac{0.15}{12}\right)^{12t}\)

\(\implies \sf \dfrac{17474}{7790}=\left(1.0125}\right)^{12t}\)

\(\implies \sf \ln\left(\dfrac{17474}{7790}\right)=\ln \left(1.0125}\right)^{12t}\)

\(\implies \sf \ln\left(\dfrac{17474}{7790}\right)=12t \ln \left(1.0125}\right)\)

\(\implies \sf t=\dfrac{\ln\left(\frac{17474}{7790}\right)}{12 \ln \left(1.0125}\right)}\)

\(\implies \sf t=5.419413037...\:years\)

Therefore, the money was in the account for 5 years and 5 months (to the nearest month).

To solve this problem, we use the rule of conditional probability which states that the probability of the joint event A and B happening is equal to the probability of A happening multiplied by the probability of B happening given that A has already happened.

So, the probability of drawing a green marble on the first draw is 4/15, since there are 4 green marbles out of a total of 15 marbles.

If the first marble drawn is green and not replaced, there are now 14 marbles remaining in the bag, out of which 3 are green.

Thus, the probability of drawing another green marble given that the first one was green is 3/14.

Therefore, the probability of drawing two green marbles without replacement is:

(4/15) * (3/14) = 2/35

So the answer is 2/35.

Answer:

Step-by-step explanation:

1. Convert meters into centimeters:

Nour's structure = 970 cm

Maha's structure = 9.5 meters

1 meter = 100 cm

9.5 · 100 = 950 cm

Result:

Nour's structure: 970 cm

Maha's structure: 950 cm

Nour's structure is 20 cm taller than Maha's structure.

2. Convert meters into centimeters:

Nour's structure: 970 cm + 150 cm = 1120 cm

Maha's structure: 950 cm + 1.05 meters = x

1.05 meters · 100 = 105 cm

Result:

Nour's structure: 970 cm + 150 cm = 1120 cm

Maha's structure: 950 cm + 105 cm = 1055 cm

Nour's structure is 65 cm taller than Maha's structure

Note:

Feel free to comment if you have any questions!

The number of minutes a scented candle lasts if it burns out sooner than 80% of all scented candles is 244 minutes.

When the distribution is normal, we use the z-score formula.

In a set with mean µ and standard deviation σ , the z-score of a measure X is given by:

Z = (X – µ) / σ

The Z-score shows how many standard deviations the measure is from the mean. After finding the Z-score, need to look at the z-score table and discover the p-value associated with the z-score. This p-value is the probability that the value of the measure is smaller than X, means, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

So, in this case, given that:

µ = 249, σ = 20

The number of minutes a scented candle lasts if it burns out sooner than 80% of all scented candles:

100 – 80 = 20th percentile, which is X when Z has a p-value of 0.2. So, X when Z = –0.253.

Now, put all the values into the formula:

Z = (X – µ) / σ

–0.253 = (X – 249) / 20

X – 249 = –0.253 * 20

X = 244

Hence, the candle burns for 244 minutes.

Learn more about z-score at: https://brainly.com/question/15016913

#SPJ4

The x-intercept is (16, 0) and y- intercept is (0, 6).

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

Given: 24x+64y=384

For y- intercept, put x=0

Then,

24*0+64y=384

64y= 384

y= 6

Now, for x- intercept put y=0

Then,

24x+64*0=384

24x= 384

x= 15

Hence, the x-intercept is (16, 0) and y- intercept is (0, 6).

Learn more about this concept here:

https://brainly.com/question/2334999

#SPJ1

Answer:

Sample Answer: Substitute 0 for the x-value in the equation and solve for y. The result is y = 6, so the y-intercept is at (0, 6). Next, substitute 0 for the y-value in the equation and solve for x. The result is x = 16, so the x-intercept is at (16, 0).

Step-by-step explanation:

The correct answer of the operation is option B: 4x^2 - 9.

To perform the operation (2x-3)(2x+3), we can use the FOIL method, which stands for First, Outer, Inner, Last. Let's go through the steps:

First: Multiply the first terms of each binomial.

(2x)(2x) = 4x^2

Outer: Multiply the outer terms of each binomial.

(2x)(3) = 6x

Inner: Multiply the inner terms of each binomial.

(-3)(2x) = -6x

Last: Multiply the last terms of each binomial.

(-3)(3) = -9

A binomial is a two-term algebraic expression that contains variable, coefficient, exponents and constant, a binomial is an expression that has two unlike terms connected through an addition or subtraction operator in between.  

Now, let's combine the like terms:

4x^2 + 6x - 6x - 9

Notice that the terms 6x and -6x cancel each other out.

Simplifying further, we have:

4x^2 - 9

The correct answer is option B: 4x^2 - 9.

for such more question on operation

https://brainly.com/question/4721701

#SPJ8

the cost of one Mexican dish and one Thai curry is £1.63 and £2.15, respectively.

The two deals provided can be represented in two linear equations as follows:

2m + 3t = 9.951m + 4t = 10.35

Where m and t represent the cost of a Mexican dish and Thai curry, respectively

.Multiplying the second equation by 2 gives;2m + 8t = 20.70(2m + 3t = 9.95) subtract (2m + 8t = 20.70)−5t = −10.75t = 2.15

Substituting the value of t in equation (1) gives;2m + 3(2.15) = 9.95m = 1.625

Hence, the cost of one Mexican dish and one Thai curry is £1.63 and £2.15, respectively.

From the given information, it is required to determine the cost of one Mexican dish and one Thai curry. Two deals are provided with two interested dishes, Mexican dishes and Thai curries

. The first deal contains 2 Mexican dishes and 3 Thai curries and costs £9.95. The second deal contains 1 Mexican dish and 4 Thai curries and costs £10.35.

The two deals can be expressed in linear equations. The first equation is 2m + 3t = 9.95 and the second equation is 1m + 4t = 10.35. Here, m represents the cost of a Mexican dish and t represents the cost of a Thai curry.

Multiplying the second equation by 2 gives 2m + 8t = 20.70. Subtracting this from the first equation gives -5t = -10.75.

Solving for t, we get t = 2.15. Substituting this value in the first equation and solving for m gives m = 1.625. Therefore, the cost of one Mexican dish and one Thai curry is £1.63 and £2.15, respectively.

The cost of one Mexican dish and one Thai curry is £1.63 and £2.15, respectively. Two linear equations were used to solve for the cost of the two dishes. The equations were; 2m + 3t = 9.95 and 1m + 4t = 10.35. Solving for t gave the cost of one Thai curry and substituting this in the first equation gave the cost of one Mexican dish.

To know more about linear equation visit:

brainly.com/question/32634451

#SPJ11

Answer:

Step-by-step explanation:

The loop will run an infinite number of times

Answer:

The slope is 6

Step-by-step explanation:

f(x)=2(3x-7)

Distribute the 2

f(x)=2*3x-2*7

f(x) = 6x -14

This is in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

The slope is 6 and the y intercept is -14

The slope is 6

The critical point (0,0) is a stable node

The Jacobian matrix for the given system

J = | ∂dx/∂x  ∂dx/∂y | | ∂dy/∂x  ∂dy/∂y |

Here are the partial derivatives of the system equations

dx = - 4x- 10y - x² - y² dt and dy = 10x + 16y - 3xy dt

∂dx/∂x = -4 - 2x

∂dx/∂y = -10 - 2y

∂dy/∂x = 10 - 3y

∂dy/∂y = 16 - 3x

Now, let's evaluate the Jacobian matrix at (0,0)

J(0,0) = | -4 -10 | | 10 16 |

To find the eigenvalues, we need to compute the characteristic equation

det(J(0,0) - λI) = 0,

where λ represents the eigenvalue and I is the identity matrix.

Substituting the values from the Jacobian matrix, we get

| -4-λ -10 | | -4-λ -10 | = (λ+4) (λ+16) + 100

λ² + 20λ + 84 = 0

Now we solve this quadratic equation for λ

λ² + 20λ + 84 = 0.

Using the quadratic formula, we have

λ = (- b ± √b²-4ac)/2a

b = 20 , a = 1 , c = 84

λ = (-20 ± √(20² - 4×84×1)) / (2×1)

λ = (-20 ± √(400 - 336)) / 2

λ = (-20 ± √64) / 2

λ = (-20 ± 8) / 2

λ = -10 ± 4.

So the eigenvalues are λ₁ = -10 + 4 = -6 and λ₂ = -10 - 4 = -14.

Both eigenvalues have negative real parts (-6 and -14). Therefore, the critical point (0,0) is a stable node.

Click here to know more about critical point :

https://brainly.com/question/31326284

#SPJ4

The value of x is 3.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

TV is a line and U is the midpoint so,

TU = UV

So,

8x + 11 = 12x - 1

Combining like terms.

11 + 1 = 12x - 8x

12 = 4x

Divide 4 into both sides.

12/4 = x

x = 3

Thus,

x is 3.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1