The mass of the Rock of Gibraltar is 1. 78 ⋅ 1012 kilograms. The mass of the Antarctic iceberg is 4. 55 ⋅ 1013 kilograms. Approximately how many more kilograms is the mass of the Antarctic iceberg than the mass of the Rock of Gibraltar? Show your work and write your answer in scientific notation

Answer:

-11, -2, 3, 6

-16, -5, 19, 21

Step-by-step explanation:

For no solution 7x+10

For one solution8x+0

For infinite solution 7x+5

An infinite solution is a solution to a system of equations that has an infinite number of possible solutions. In other words, any value for the variables in the system will satisfy all the equations.

2x+5+2x+3x

On adding the values with variables, x=7

On adding constant values=5

2x+5+2x+3x=7x+5

For no solution

7x+5=7x+10

For one solution

7x+5=8x

x=5

For infinite solution

7x+5=7x+5

Hence, For no solution 7x+10

For one solution 8x+0

For infinite solution 7x+5.

To know more about variables, visit:

https://brainly.com/question/17344045

#SPJ1

Answer:

13 1/3

Step-by-step explanation:

1 1/2= 1 3/6

subtraction

13 2/6 equals 13 1/3

Answer: 13 1/3

Step-by-step explanation:

Find the LCM of the denominator for both fractions

LCM of 2 and 6 = 6

14 5/6 × 1 = 14 5/6

1 1/2 × 3 = 1 3/6

14 5/6 - 1 3/6

14 - 1 = 13

5/6 - 3/6 = 2/6

14 5/6 - 1 3/6 = 13 2/6

Simplify

14 5/6 - 1 1/2 = 13 1/3

Hope I helped!

The most important details are that a club consisting of 11 men and 12 women needs to choose a committee with one more women than the number of men on the committee, and that the sum of prime numbers that divide N is 3 + 7 + 3 + 7 + 11 + 2 + 3 + 83 = 119. The sum of prime divisors of N is 3 + 7 + 3 + 7 + 11 + 2 + 3 + 83 = 119.

A club consisting of 11 men and 12 women needs to choose a committee from among its members so that the number of women on the committee is one more than the number of men on the committee. To find the sum of the prime numbers that divide N, the approach is as follows: Let k represent the number of men on the committee, then the number of committees with k men is given by: 12Ck  11C(k-1) + 12C(k+1)  11Ck + 12C(k+2)  11C(k+1) +  + 12C23  11C22. The sum of prime divisors of N is 3 + 7 + 3 + 7 + 11 + 2 + 3 + 83 = 119. The answer is 119.

To know more about prime numbers Visit:

https://brainly.com/question/29629042

#SPJ11

The number of waffles can be made from 15 eggs are, 20 waffles.

the waffles can be calculates as follows

4 cups of fluor + 6 eggs +2 tbsp oil = 8 waffles

we need 6 eggs to make 8 waffles

So, the waffles can we make from 15 eggs = \(\frac{8}{6} X 15 = 20\) waffles

Hence, the number of waffles can be made from 15 eggs are 20 waffles.

Learn more about this equation at

https://brainly.com/question/14275434

#SPJ1

Answer:

-1/2 is the answer i think

Answer:   If x is less than -120, then x-120 will be less than zero, so we have:

|x-120| = -(x-120)

And since x is less than -120, we have:

|x-120| = -(x-120) = -x + 120

Therefore, the simplified expression for |x-120| when x<-120 is -x + 120.

Step-by-step explanation: I would reallyyyyyyyyyyyyyyyyy apreciate brainliest

The answer to the standard error of the average, rounded to three decimal places, will be provided. The expected value of each draw will be the average of these values, which is (0 + 1) / 2 = 0.5.

The standard error of the number (or sum) of evens in 36 draws is not provided, and it seems there was an error in calculating the expected value of the average of the draws. However, we can calculate the standard error of the average based on the previously computed standard deviation.

To calculate the standard error of the number (or sum) of evens in 36 draws, we need additional information that is not provided. Without the data or probabilities associated with the draws, we cannot determine the standard error for this specific question.

Regarding the expected value of the average of the 36 draws from the 0-1 box in question 1, it appears there was an error in calculating the expected value in the previous tries. However, given that the box contains values ranging from 0 to 1, the expected value of each draw will be the average of these values, which is (0 + 1) / 2 = 0.5.

To compute the standard error of the average, we can divide the standard deviation (already computed) by the square root of the number of draws. Since the standard deviation has been previously calculated but is not provided, we cannot give an exact value. However, if you have the standard deviation, you can compute the standard error by dividing it by the square root of 36, which is 6. The standard error is a measure of how much the sample means are expected to vary from the population mean, and it helps assess the precision of the sample estimate. By rounding the result to three decimal places, you can obtain the desired value.

Learn more about standard error here:
https://brainly.com/question/32854773

#SPJ11

Jake's guesses are illustrations of probabilities.

The probability that Jake's guesses are correct is 1/720

The sample size is:

\(\mathbf{n = 10}\) --- 10 different numbers

The probability that Jake's guesses are correct is as follows:

So, the required probability is:

\(\mathbf{Pr = \frac{1}{10} \times \frac 19 \times \frac 18}\)

\(\mathbf{Pr = \frac{1}{720} }\)

Hence, the probability that Jake's guesses are correct is 1/720

Read more about probabilities at:

https://brainly.com/question/11234923

Answer:

Step-by-step explanation:

For a sample of adults from country A, related to their unconfident that the food they eat in country A is safe, the point estimate of population proportions p and q are equals 0.202 and 0.798 respectively.

One sample proportion test is conducted to check whether the population proportion (P) shows a significant difference from the hypothesized value (p)or not. Sample proportion

\((\hat p)\) can be defined as the ratio of number of successes in the sample and the size of the sample. We have a sample survey of 1562 adults from country A, in which, 316 were not confident that the food they eat in country A is safe.

So, Sample size (n)= 1562

The number of successes (x) = 316

Let's consider X be the number of adults that were not confident with the food that they eat in country A is safe. The point estimate of the population proportion (p) is written as below,

\(\hat p=\frac{x}{n}\) \( = \frac{316}{1562}\)

= 0.2023047

≈ 0.202

Therefore, the point estimate of the population proportion is 0.202. The point estimate for q is \(\hat q = 1 - \hat p\) = 1 -0.202

= 0.797695 ≈ 0.798

Therefore, the point estimate for q is 0.798.

For more information about population proportion, visit :

https://brainly.com/question/4300488

#SPJ4

For a sample of adults from country A, related to their unconfident that the food they eat in country A is safe, the point estimate of population proportions p and q are equals 0.202 and 0.798 respectively.

One sample proportion test is conducted to check whether the population proportion (P) shows a significant difference from the hypothesized value (p)or not. Sample proportion

can be defined as the ratio of number of successes in the sample and the size of the sample. We have a sample survey of 1562 adults from country A, in which, 316 were not confident that the food they eat in country A is safe.

So, Sample size (n)= 1562

The number of successes (x) = 316

Let's consider X be the number of adults that were not confident with the food that they eat in country A is safe. The point estimate of the population proportion (p) is written as below,

= 0.2023047

≈ 0.202

Therefore, the point estimate of the population proportion is 0.202. The point estimate for q is  = 1 -0.202

= 0.797695 ≈ 0.798

Therefore, the point estimate for q is 0.798.

To know more about denoted by p

https://brainly.com/question/30347628

#SPJ4

Answer:

the third one

Step-by-step explanation:

Answer:

that would be c

Step-by-step explanation:

The line-to-neutral voltage of a 3-ø, y-connected system is equal to the line-to-line voltage divided by √3. Therefore, the line-to-neutral voltage would be:
VL-N = VL-L/√3 = 1018sin(408t)v/√3

The frequency of the line-to-neutral voltage is equal to the frequency of the line-to-line voltage. Therefore, the frequency of the line-to-neutral voltage would be:
f = 408t = 408/2π = 65 Hz
Therefore, the correct answer is D. 65 Hz.

To know more about frequency  refer here:

https://brainly.com/question/5102661

#SPJ11

Answer:

I think d.) 1

Step-by-step explanation:

1/2 and 3/4 is a 1/4 difference bc 1/2= 2/4

3/4 + 1/4 is a cup. I may be wrong

Answer:

1 1/8 cups

Step-by-step explanation:

ratio is x1.5

Answer:

13.2 g

Step-by-step explanation:

let x = grams sugar in a 200 ml glass

16.5 g sugar / 250 ml = x g sugar / 200 ml

x(250) = (16.5)(200)

x =  (16.5)(200) / (250) = 3300 / 250 = 13.2

Answer:  there are 13.2 g sugar in a 200 ml glass of juice

According to the given statement the area of shaded region is is 20 units squared.

As an outcome, an isosceles triangle has two equal sides as well as two equal angles. As from Greek words iso (same) and skelos, the phrase is formed (leg). Except for a right triangle, which has quadrilateral on all sides, a scalene triangle lacks equal sides on each side.

The slope of the line connecting the bottom right vertex of something like the triangle to the top left vertex of both the square is equal to -1/2.

This line's equation is y = (-1/2)x + 10. (1)

The point at the triangle's top vertex is (15, 10)

The slope of the segment between (10, 0) and (15, 10) is 10/5, which equals two.

The line connecting these two locations has the equation y = 2(x - 10) y = 2x - 20. (2)

You may get the x coordinate of the point where these lines cross by putting (1) = (2) 

(-1/2)x + 10 = 2x - 20 

30 = [5/2]. x x equals 12 and y equals 2(12) - 20 = 4.

Therefore, the triangle's shaded area's height is 4 and its base is 10.

Its area is therefore (1/2)(4)(10) = 20 units squared.

To know more about Isosceles triangle visit:

https://brainly.com/question/12479957

#SPJ4

We have to find the slope of a linear function that passes through the points (-2,-5) and (-1,-6).

For doing so, we will use the formula:

where (x₁,y₁) and (x₂,y₂) are two points of the line. Replacing we obtain that:

This means that the slope of the linear function is -1.

Answer:

$60

Step-by-step explanation:

I = prt

I = $500 * 0.04 * 3

I = $60

Answer: $60

Answer:

(x,y) -> (-x,-y)

Step-by-step explanation:

You need the opposites of both points, not just one of them.

The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

Learn more about trigonometric identities at: https://brainly.com/question/7331447

#SPJ1

1) The best way to tackle this question is to set an equation for that:

2) Thus, 140% of 10

The point (9, -7) is the only solution to the system of linear inequalities given.

To determine which point would be a solution to the system of linear inequalities, let's substitute the given points into the inequalities and see which point satisfies both inequalities.

The system of linear inequalities is:

y > -4x + 6

y > (1/3)x - 7

Let's test each given point:

For the point (9, -7):

Substituting the values into the inequalities:

-7 > -4(9) + 6

-7 > -36 + 6

-7 > -30 (True)

-7 > (1/3)(9) - 7

-7 > 3 - 7

-7 > -4 (True)

Since both inequalities are true for the point (9, -7), it is a solution to the system of linear inequalities.

For the point (-12, -2):

Substituting the values into the inequalities:

-2 > -4(-12) + 6

-2 > 48 + 6

-2 > 54 (False)

-2 > (1/3)(-12) - 7

-2 > -4 - 7

-2 > -11 (False)

Since both inequalities are false for the point (-12, -2), it is not a solution to the system of linear inequalities.

For the point (12, 1):

Substituting the values into the inequalities:

1 > -4(12) + 6

1 > -48 + 6

1 > -42 (True)

1 > (1/3)(12) - 7

1 > 4 - 7

1 > -3 (True)

Since both inequalities are true for the point (12, 1), it is a solution to the system of linear inequalities.

For the point (-12, -7):

Substituting the values into the inequalities:

-7 > -4(-12) + 6

-7 > 48 + 6

-7 > 54 (False)

-7 > (1/3)(-12) - 7

-7 > -4 - 7

-7 > -11 (True)

Since one inequality is true and the other is false for the point (-12, -7), it is not a solution to the system of linear inequalities.

In conclusion, the point (9, -7) is the only solution to the system of linear inequalities given.

For similar question on inequalities.

https://brainly.com/question/28755685  

#SPJ8

Answer:

r=−1/5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5(r−10)=−51

(5)(r)+(5)(−10)=−51(Distribute)

5r+−50=−51

5r−50=−51

Step 2: Add 50 to both sides.

5r−50+50=−51+50

5r=−1Step 3: Divide both sides by 5.

5r/5=−1/5

r=−1/5

Answer:

Step-by-step explanation:

5(r - 10) = -51

5r - 50 = -51

5r = -51 + 50

5r = -1

r = - ¹/₅ or 0.2

Gavyn receives 36 fewer candies than Nick. There are 117 candies in total.

When it comes to the four fundamental algebraic operations, functions perform exactly as one would expect (addition, subtraction, multiplication, and division).

The most fundamental operation in mathematics is addition. In its most basic form, addition adds two numbers—the addends or terms—to create a third, the total of the numbers (for example, 2 + 2 = 4 or 3 + 5 = 8).

In several contexts, including multiplication (repeated addition), division, and other operations, the fundamental operations of addition and subtraction are applied (repeated subtraction). These operations are used to model the word problems as mathematical expressions.

In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

 7x -3x =36

 4x =36

 x = 36/4

 x = 9

Hence 7 + 3 + 3 =13 and 13 x 9 = 117 sweets totally

To learn more about basic operations refer to:

https://brainly.com/question/20628271

#SPJ1

The term "average" plays a fundamental role in statistics. It refers to a measure of central tendency that summarizes a set of data by representing a typical or representative value.

Calculation for the average of a set of numbers, follow these steps:

Add up all the values in the data set.

Division of the sum by the total number of values.

For example, consider the following data set: 10, 15, 20, 25, 30.

Sum all the values: 10 + 15 + 20 + 25 + 30 = 100.

Divide the sum by the total number of values: 100 / 5 = 20.

In this case, the average of the data set is 20.

The term average provides a concise summary of a data set by representing a typical value. It is calculated by adding up all the values and dividing the sum by the total number of values. The average is a fundamental statistical measure that helps in understanding and analyzing data in various fields such as economics, education, research, and many others.

To know more about Statistics, Visit

brainly.com/question/15525560

#SPJ11

To find the G.S. (General Solution) of the differential equation X" - 3x² - 4x = 15 Exp(4t) + 5 Exp(-T), we can use two different methods: Method 1 - using the characteristic equation and Method 2 - using the method of undetermined coefficients.

Method 1: The characteristic equation is r² - 3r - 4 = 0, which has roots r = -1 and r = 4. Therefore, the homogeneous solution is Xh(t) = C1 Exp(-t) + C2 Exp(4t). To find the particular solution, we assume Xp(t) = A Exp(4t) + B Exp(-t) and substitute it into the differential equation. Solving for A and B, we get Xp(t) = (3/5) Exp(4t) - (2/5) Exp(-t). Therefore, the general solution is X(t) = Xh(t) + Xp(t) = C1 Exp(-t) + C2 Exp(4t) + (3/5) Exp(4t) - (2/5) Exp(-t).
Method 2: We assume that X(t) = A Exp(4t) + B Exp(-t) + C is the particular solution. Substituting it into the differential equation, we get A(16) Exp(4t) - 3(B² Exp(-2t) + 2AB) Exp(4t) - 4(A Exp(4t) + B Exp(-t) + C) = 15 Exp(4t) + 5 Exp(-t). Equating the coefficients of the exponential terms, we get A(16) - 4A = 15 and -3B² + 8AB - 4B = 5. Solving for A and B, we get A = 3/5 and B = -2/5. Therefore, the particular solution is Xp(t) = (3/5) Exp(4t) - (2/5) Exp(-t) and the general solution is X(t) = Xh(t) + Xp(t) = C1 Exp(-t) + C2 Exp(4t) + (3/5) Exp(4t) - (2/5) Exp(-t).
In conclusion, the G.S. of the given DE is X(t) = C1 Exp(-t) + C2 Exp(4t) + (3/5) Exp(4t) - (2/5) Exp(-t).

To know more about G.S visit:

https://brainly.com/question/31423655

#SPJ11

Answer:

its 6

Step-by-step explanation:

1+5=6

Answer:

k = -3

k =5

Step-by-step explanation:

\begin{gathered}d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d = 5\\(-1,1) =(x_1,y_1)\\(2,k)=(x_2,y_2)\\\end{gathered}

d=

(x

2

−x

1

)

2

+(y

2

−y

1

)

2

d=5

(−1,1)=(x

1

,y

1

)

(2,k)=(x

2

,y

2

)

\begin{gathered}5=\sqrt{\left(2-\left(-1\right)\right)^2+\left(k-1\right)^2}\\\\\mathrm{Square\:both\:sides}:\quad 25=k^2-2k+10\\25=k^2-2k+10\\\\\mathrm{Solve\:}\:25=k^2-2k+10:\\k^2-2k+10=25\\\\\mathrm{Subtract\:}25\mathrm{\:from\:both\:sides}\\k^2-2k+10-25=25-25\\k^2-2k-15=0\\\\\mathrm{Solve\:by\:factoring}\\\\\mathrm{Factor\:}k^2-2k-15:\quad \left(k+3\right)\left(k-5\right)\\\mathrm{Solve\:}\:k+3=0:\quad k=-3\\\end{gathered}

5=

(2−(−1))

2

+(k−1)

2

Squarebothsides:25=k

2

−2k+10

25=k

2

−2k+10

Solve25=k

2

−2k+10:

k

2

−2k+10=25

Subtract25frombothsides

k

2

−2k+10−25=25−25

k

2

−2k−15=0

Solvebyfactoring

Factork

2

−2k−15:(k+3)(k−5)

Solvek+3=0:k=−3

\begin{gathered}\mathrm{Solve\:}\:k-5=0:\quad k=5\\\\k =5 , k=-3\end{gathered}

Solvek−5=0:k=5

k=5,k=−3

Step-by-step explanation:

괜찮기를 바랍니다!

have a great day :)

Answer:

Im gonna take a guess and say that the number of students is x and the $ collected is y

Step-by-step explanation:

Answer:

\( {x}^{2} - 12x + 23 = 0\)

\( {x}^{2} - 12x = - 23\)

\( {x}^{2} - 12x + 36 = 13\)

\( {(x - 6)}^{2} = 13\)

x - 6 = +√13

x = 6 + √13

Answer:

0.125 = ⅛

Step-by-step explanation:

Both are equal.......

The time taken to reach the maximum height is 1.25 seconds.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a ball is thrown into the air with an upward velocity of 40ft/s. Its height h in feet after t seconds is given by the function h(t) = -16t² + 40t + 10.

To calculate the time to get the maximum height to differentiate the function with respect to t and equate it with zero,

h(t) = -16t² + 40t + 10.

(d/dt)h(t) = ( d / dt ) { -16t² + 40t + 10 } = 0

( d / dt ) { -16t² + 40t + 10 } = 0

-32t  + 40 = 0

-32t = -40

t = 40 / 32

t = 1.25 seconds

To know more about an expression follow

https://brainly.com/question/2254121

#SPJ1