Determine the intercepts of the line.
y + 5 = 2(x + 1)

y-intercept:
x-intercept:

Answer:

you give 1 1/5 to each child?

Answer: You must give more points for questions that are this long

sincerely,

A Friend

Step-by-step explanation:

By comparing the credit card and debit card we noticed that the uses of debit card are most preferable.

The card that allows a card holder to pay electronically while purchasing.

The debit card is directly connected to card holder's bank account.

The card that allows a card holder to borrow funds within a pre-approved credit limit.  It also helps a card holder to purchase by borrowing money.

The one of the most advantages of debit card compared to a credit card is a debit card has automatic overdraft protection.

to know more about debit card and credit card visit:

https://brainly.com/question/27350251

#SPJ1

There is a 90% probability that Abby and Bridget are seated adjacent to each other in the same row or the same column.

There are 10 total seating positions, and Abby and Bridget can be seated in any of these positions. There are two rows, and in each row there are 3 possible seating positions for Abby and 3 possible seating positions for Bridget, for a total of 6 possible seating arrangements in each row. There are also 3 possible seating positions for Abby and 3 possible seating positions for Bridget in the same column, for a total of 3 possible seating arrangements in the same column. Therefore, there are a total of 6+3=9 possible seating arrangements in which Abby and Bridget are seated adjacent to each other in the same row or the same column.

Out of all the possible seating arrangements, the probability that Abby and Bridget are seated adjacent to each other in the same row or the same column is therefore 9/10. This can be expressed as a fraction or as a decimal:

[tex]\frac{9}{10}[/tex] = 0.9

This means that there is a 90% probability that Abby and Bridget are seated adjacent to each other in the same row or the same column.

To learn more about probability, visit:

brainly.com/question/11234923

#SPJ

Answer: Religion reinforces and promotes social inequality and social conflict. It helps convince the poor to accept their lot in life, and it leads to hostility and violence motivated by religious differences. This perspective focuses on the ways in which individuals interpret their religious experiences.

Step-by-step explanation:

The mass of the rectangular box B where B is the box determined by 0≤x≤1, 0≤y≤4, and 0≤z≤4 is 736.77

According to the question,

A rectangular box B is given with density ρ(x , y , z) = ze^(x+y)

We will find the mass of rectangular box B by using Triple integration method

In the question, The boundary limit for the density is given

0≤x≤1, 0≤y≤4, and 0≤z≤4

Mass formula = [tex]\int\int\int\limits_B {\rho (x,y,z)} \, dV[/tex]

Where , dV is dz dy dx

So, [tex]\int\limits^1_0 \int\limits^4_0 \int\limits^4_0 {\rho(x,y,z)} \, dz dy dx[/tex]

Putting  ρ(x , y , z) = ze^(x+y)

=> Mass = [tex]\int\limits^{1}_{0} \int\limits^{4}_{0} \int\limits^{4}_{0} ze^{(x+y)} \, dz dy dx[/tex]

=> [tex]\int\limits^{1}_{0} \int\limits^{4}_{0}e^{(x+y)} [\frac{z^{2}}{2}]^{4}_{0} \, dy dx[/tex]

=> [tex]\int\limits^{1}_{0} \int\limits^{4}_{0} 8e^{(x+y)} \, dy dx[/tex]

=> [tex]\int\limits^{1}_{0} \int\limits^{4}_{0} 8e^{x}e^{y} \, dy dx[/tex]

=> [tex]\int\limits^{1}_{0} 8e^{x} [e^{y}]^{4}_{0} \, dx[/tex]

=> [tex]\int\limits^{1}_{0} 8e^{x} (e^{4}-1) \, dx[/tex]

=> [tex]8 (e^{4}-1) [e^{x}]^{1}_{0}[/tex]

=> [tex]8 (e^{4}-1) (e^{1}-1)[/tex]

=> 8(e⁴⁺¹ - e⁴ - e¹ + 1)

=> 8(e⁵- e⁴ - e¹ + 1)

Writing value of exponential function,

Mass of rectangular box B = 736.77

Hence, The mass of the rectangular box B where B is the box determined by 0≤x≤1, 0≤y≤4, and 0≤z≤4 is 736.77

To know more about Triple Integration here

https://brainly.com/question/2289273

#SPJ4

[tex]V=4\pi b^{2}(5b+3)[/tex].

[tex]V=\pi r^{2} h[/tex]

[tex]V=\pi r^{2} h\\ \\V=\pi (2b)^{2} (5b+3)[/tex]

[tex]V=\pi (2^{2} b^{2} ) (5b+3)\\ \\V=\pi (4 b^{2} ) (5b+3)[/tex]

Use the distributive property of multiplication in order to operate.

[tex]V=\pi (4 b^{2} ) (5b+3)\\ \\V=\pi ((4 b^{2})(5b)+(4 b^{2})(3))\\ \\V=\pi ((20b^{3} )+(12 b^{2}))\\ \\V=4\pi (\frac{20b^{3}}4} +\frac{12 b^{2}}{4} )\\ \\V=4\pi (5b^{3} +3b^{2})\\ \\V=4\pi b^{2}(\frac{5b^{3}}{b^{2}} +\frac{3b^{2}}{b^{2}} )\\ \\V=4\pi b^{2}(5b+3)[/tex]

[tex]V=4\pi b^{2}(5b+3)[/tex].

The Statement is = TRUE

We can conclude from the statement given in the question that,

Some of the examples of the following pairs of algorithms could be seen below,

All these above pairs of algorithms are having some different ways of relationships between them eg, they might be having different parameters or their abilities to parameterize one another.

Therefore, in regard to the above explanations,

The Statement is = TRUE

To learn more about Scheduling Algorithms,

https://brainly.com/question/14439995

#SPJ4

A savings account with just an APR of 5.2% compounded quarterly on a balance of $2,000 will yield $16.61 more interest than a similar account with just an APR of 4.8% compounded monthly on the same balance.

Assume we had two different sorts of savings accounts, each with a deposit of $2,000 in it.

We must now determine the earnings for both accounts.

The following formula will be used to determine the earning:

Here,

Put the values for Account A now.

5.2 % in decimal form = 5.2/100= 0.052

v = 2000 x ( 1 + (0.052/4) )^(4*2)

v = 2217.71

Total earning for account A =  $ 2217.71.

For Account B:

4.8 % in decimal form = 4.8/100= 0.048

v = 2000*( 1 + (0.048/12) )^(12*2)

v = 2201.10

Total earning for account A = $ 2201.10

We will now deduct B's earnings from A's earnings to see how much more A earned than B.

2217.71 - 2201.10 = $16.61

Consequently, account A made $16.61 more so than account B.

To know more about the compounded monthly, here

https://brainly.com/question/28020457

#SPJ1

z = -1.34 <  (a - 70)/9

And if we solve for we got

a = 70 - 1.34 * 9 = 57.95 = 98

So, the value of height that separates the bottom 9% of data from the top 91% is 58.

And the answer for this case would be:

a) 58

What is the Normal distribution and Z-score?

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

The solution to the problem

Let X be the random variable that represents the scores of a population, and for this case we know the distribution for X is given by:

X ~ N (70, 9)

Where μ = 70, and σ = 9

For this case, the figure attached illustrates the situation for this case.

We know from the figure that the lower limit for D accumulates 9% or 0.09 of the area below and 0.91 or 91% of the area above.

we want to find a value a, such that we satisfy this condition:

 P(X > a) = 0.91  (a)

 P(X < a) = 0.09 (b)

Both conditions are equivalent in this case. We can use the z score again in order to find the value a.  

As we can see in the figure attached the z value that satisfies the condition with 0.09 of the area on the left and 0.91 of the area on the right it's z=-1.34. On this case P(Z<-1.34)=0.09 and P(z>-1.34)=0.91

If we use condition (b) from the previous we have this:

P(X < a) = P(X - μ)/σ < (a - μ)/σ) = 0.09

P(z < (a - μ)/σ) = 0.09

But we know which value of z satisfies the previous equation so then we can do this:

z = -1.34 <  (a - 70)/9

And if we solve for we got

a = 70 - 1.34 * 9 = 57.95 = 98

Hence, the value of height that separates the bottom 9% of data from the top 91% is 58.

And the answer for this case would be:

a) 58

To learn more about the Normal distribution and Z-score visit,

https://brainly.com/question/14812280

#SPJ1

Answer:

Step-by-step explanation:

Explanation:

As you know, each electron that's part of an atom has its own unique set of four quantum numbers that describes its position and spin.

This means that looking for the number of unique sets of quantum numbers is equivalent to looking for the number of electrons that can occupy the third energy level.

As you know, the number of orbitals you get per energy level is given by the equation

no. of orbitals

=

n

2

, where

n

- the principal quantum number, the ones that gives the energy level.

So, if you're dealing with the third energy level, you can say that it will contain a total of

no. of orbitals

=

3

2

=

9

distinct orbitals.

Now, each orbital can contain a maximum of

2

electrons of opposite spins. This means that the third energy level will contain a maximum number of

no. of electron

=

9

⋅

2

=

18 e

−

So, if each electron is described by an unique set of quantum numbers, you can conclude that

18

sets of quantum numbers are possible for the third energy level.

ok maybe that will help!

The reasons that complete the statements are:

From the question, we have the following parameters that can be used in our computation:

Triangles = RST, and TUR

From the question, we have the following given parameters

∠SRT ≅ ∠UTR

This means that

Statement 2: ∠SRT ≅ ∠UTR ------ Given

At this point, we have

RS ≅ TU --- Congruent side (S)

∠SRT ≅ ∠UTR ------ Congruent angle (A)

RT ≅ TR --- Congruent side (S)

When these congruent sides and angles are combined, we have

SAS congruence property

The SAS congruent theorem implies that the corresponding sides of the triangles in question are congruent and the angles between the corresponding sides are also congruent

Hence, the additional information on the congruency of the triangles are Given and SAS congruence property

Read more about congruent triangles at

brainly.com/question/1675117

#SPJ1

The five theorems of congruent triangles are SSS, SAS, AAS, RHS, and ASA.

Triangle congruence means :

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent.

Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved.

" ≅ " is the congruence symbol.

For triangles, there are five primary congruency rules:

By these we can proof two triangles are congruent or not

The question is incomplete so I've answered in general

To know more about Congruent triangle here

https://brainly.com/question/27848509

#SPJ4

Answer:

Domain: [-4, ∞)

Range: (-∞, 3]

***See important note in explanation below***

Step-by-step explanation:

Important note in answer

Note the use of different bracket styles in domain and range intervals

A square bracket, [ implies that the value adjacent to it is included A regular bracket(parenthesis) implies that the value next to it is not included.

So for domain, the value -4 is included but not ∞
For range, the value -∞ is not included but the value 3 is included

Definition of domain and range

The domain of a graph consists of all the input values shown on the

x-axis. The range is the set of possible output values, which are shown on the y-axis.

Answer: To solve this problem, we need to set the two equations equal to each other and solve for the number of text messages that were sent by each person. We know that the cost of Jack's plan is c = 0.30t + 9 and the cost of Jill's plan is c = 0.60t. To find the number of text messages they each sent, we can set these two equations equal to each other and solve for t:

0.30t + 9 = 0.60t

0.30t = 0.60t - 9

0.30t = 0.60t - 9

-0.30t = -9

t = 30

Therefore, if Jack and Jill paid the same amount for their text plans, they each sent 30 text messages.

h(x) is decreasing on (0, 2π/3) ∪ (4π/3, 2π).

Given the interval:

h(x) = cos(3x/2)

To find critical points:

To find the critical points of a function y = f(x), first, we have to find x-values where the derivative f'(x) = 0 and also the x-values where f'(x) is not defined.

h'(x) = -(3/2)sin(3x/2) = 0 when 3x/2 = kπ, k = 0, ±1, ±2, ...

If k = 0, then x = 0

If k = 1, then 3x/2 = π. So, x = 2π/3.

If k = 2, then 3x/2 = 2π. So, x = 4π/3.

If k = 3, then 3x/2 = 3π. So, x = 2π.

When 0 < x < 2π/3, h'(x) < 0. So, h(x) is decreasing.

When 2π/3 < x < 4π/3, h'(x) > 0, So, h(x) is increasing.

When 4π/3 < x< 2π, h'(x) < 0. So, h(x) is decreasing.

h(x) is increasing on (2π/3, 4π/3).

h(x) is decreasing on (0, 2π/3) ∪ (4π/3, 2π)

To learn more about Open Interval:

https://brainly.com/question/26472976

#SPJ4

The probability that their mean length is less than 17.4 inches is 28.26%

Given :

A manufacturer knows that their items have a normally distributed length, with a mean of 19.7 inches, and standard deviation of 4 inches , If 25 items are chosen at random .

z = ( X - μ ) / σ, where X = date , μ = mean , σ = standard deviation .

substitute the values

z = 17.4 - 19.7 / 4

= -2.3 / 4

= -0.575

P - value at z = -0.575 is 0.2826

Converting into percentage :

= 0.2826 * 100%

= 28.26 %

Learn  more about the probability here:

https://brainly.com/question/11234923

#SPJ4

The value of y is 21.3333. And from the options, 21.3333 is closest to 22.

So, the correct option is C. 22.

A term is composed of one mathematical expression. A single variable (a letter), a single integer (positive or negative), or a number of variables that have been multiplied but never added or subtracted are all examples of single variables. There is a number in front of certain words that are variables. When a phrase is used, a coefficient is given.

We have the expression,

y = 2 · 32 ÷ 3

Simplifying,

y = 2 x 32 ÷ 3

To solve for y:

Using PEMDAS,

the abbreviation PEMDAS is used to indicate the sequence of steps to be taken when resolving expressions with multiple operations.

P is for "parentheses,"

E is for "exponents,"

M is for "multiplication,"

D is for division,

A is for addition,

and S is for subtraction.

y = 2 x 32 ÷ 3

Firstly, we multiply the number,

y = 64 ÷ 3

Now, the division,

y = 21.3333

Therefore, the value of y is 21.3333.

To learn more about the expression;

brainly.com/question/24242989

#SPJ1

The average rate change of the function is -4.

What is a function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Given function is f(x) = 1x² + 1x - 8.

Find the average rate change of the function in the interval [-4, -1]

For this compute the value of f(x) at x = -4 and x = -1.

Then find the difference the value of f(x) and divide it by the difference the value of x.

The average rate change of function f(x) in the interval [a,b] is [f(b) - f(a)]/(b-a).

Putting x = -4 in the given function:

f(-4) = 1(-4)² + 1(-4) - 8

f(-4) = 4

Putting x = -1 in the given function:

f(-1) = 1(-1)² + 1(-1) - 8

f(-1) = -8.

The rate change of x is -1 - (-4) = 3

The average rate change of the function is

[f(-1) - f(-4)] /3

= -8 - 4/3

= - 12/3

= -4

To learn more about average rate change of a function, click on below link:

https://brainly.com/question/9351280

#SPJ1

Label a ray with endpoint Y. An appropriate name for a ray whose endpoint is XY displays a ray with the endpoint Y.

A line with a single defined endpoint that continuously moves away from another is known as a ray (endpoint B in this case).

A segment of a line that lacks an endpoint but has a specified starting point. It can go on forever in a single direction. A ray cannot be measured since it has no end point.

In mathematics, a ray is a segment of a line with a definite starting point but no ending. It can go on forever in a single direction. A ray cannot be measured since it has no end point. Two rays with the same terminal are united to form an angle. The vertex of the angle is referred to as the common endpoint of the rays, while the sides of the angle are referred to as the rays themselves.

The ray in the hypothetical situation has one endpoint B and an endlessly extending endpoint A. (as shown by the arrowhead).

To read more about rays, visit: https://brainly.com/question/29134002

#SPJ4

At least means less than or equal to.

Fewest means the smallest number of boxes.

12 3/4 +x ≥ 29 5/8

x ≥ 16 7/8

The fewest number of boxes would be almost ≅ 42 boxes

Part A:

Let x denote the amount of fudge at the shop.

Helena prepares 12 3/4 pounds of fudge containing nuts.

Mathematically, the total amount of fudge on Monday will be

12 3/4 +x

Of this amount of fudge  there are at least 29 5/8 pounds of fudge containing nuts at the fudge shop on Monday

12 3/4 +x ≥ 29 5/8

Part B:

The inequality can be solved

12 3/4 +x ≥ 29 5/8

x ≥ 29 5/8- 12 3/4

x ≥  29- 12     5/8- 3/4    

The whole numbers are subtracted and the fractions are solved separately to avoid long calculations.

x ≥  17  (5-6)/8

x ≥  17 - 1/8

x ≥  (136-1)/8

x ≥  (135)/8

x ≥  16 7/8

Part C :

To find the number of boxes we divide the equal number of pounds .

12 3/4 + 29 5/8

12 + 29   3/4 + 5/8

41  11/8

42 3/8

The fewest number of boxes would be almost ≅ 42 boxes

At least problem can be understood by the following link.

Learn more about inequality concepts by:

brainly.com/question/24863377

#SPJ1

Answer: 7 47/63

Step-by-step explanation: First, find the common denominator of 6/7 and 8/9. You can do this by writing out the multiples of each denominator:

7 14 21 28 35 42 49 56 63

9 18 27 36 45 54 63

The first number at which they match is the common denominator. Next, find the sum of the numerators relative to this new denominator:

6/7 * 63 = 54

8/9 * 63 = 56

Finally, add the numerators, simplify the improper fraction, and add that to the sum of the original whole numbers:

(54 + 56)/63 = 110/63 = 1 47/63

(4 + 2) + 1 47/63 = 7 47/63

Step-by-step explanation:

58002+58003+58002+58003+58003+58005+58003=406021

mean=406021/7

mean= 58003

The expression Salina created using the greatest common factor in addition and distributing the property is

9(4 + 6)

9x4 + 9x6

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,

36 + 54

Taking out the greatest common factor.

9(4 + 6)

Using the distributive property over addition

9 x 4 + 9 x 6

Thus,

9 x 4 + 9 x 6 is the expression Salina created.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

The lowest common multiple (LCM) of the numbers 22 and 38 is 418.

The L.C.M. defines the least common multiple number which is exactly divisible by two or more numbers, while H.C.F. defines the highest common factor present in between given two or more numbers,

Given the numbers 22 and 38, we can express them as products of their prime factors and thus derive their LCM as follows;

22 = 2 × 11

38 = 2 × 19

LCM = 2 × 11 × 19

LCM = 418

Therefore, the LCM of 22 and 38 is 418 using prime factor method.

Know more about LCM here : https://brainly.com/question/233244

#SPJ1

Answer:

12.6

Step-by-step explanation:

Use pythag

8 / 2 = 4

a² + b² = c²

4² + 12² = c²

16 + 144 = c²

c² = 160

c = 12.6

Answer: 15 / 18

Step-by-step explanation:

9 / 18 + 1/3

1/3 = 6 / 18

9 / 18 + 6/ 18

15 / 18

Answer:

5/6.

Step-by-step explanation:

Step 1: Rewrite 9/18

9/18 = 1/2

Step 2: Rewrite problem

1/2 + 1/3

Step 3: Find (Greatest common denominator)

6

Step 4: Rewrite fractions

3/6 + 2/6

Step 5: Add

5/6

The 3rd term of (4 - 5g) is -1050000g5

An arithmetic sequence is a set of integers that are ordered and have a common difference between each following word. For instance, the common difference in the arithmetic series 3, 9, 15, 21, and 27 is 6. An arithmetic progression is another name for an arithmetic sequence.

It is simple to establish a series by starting with a number and repeatedly adding a fixed constant (d). An arithmetic sequence is this kind of sequence.

Given,

(4 - 5g)  simplifying

-1

So that is -1050000g5

The 3rd term of (4 - 5g) is -1050000g5

To learn more about arithmetic sequence refer to :

https://brainly.com/question/28369191

#SPJ1

Definitions:

The given angles are: