What should be added to −5 to make the sum 0?

−5
0
5
6

When Ada says that the length of diagonal SQ is two times the length of diagonal OM she incorrect

Information in the question include a rectangle of length = 16 inches and width = 8 inches

the diagonal is the hypotenuse solved using Pythagoras theorem

hypotenuse² = opposite² + adjacent²

plugging the values as in the problem

x² = 16² + 8²

x² = 320 (for SQ)

for the square, the hypotenuse is the diagonal, then using Pythagoras we have

x² = 8² + 8²

x² = 128 (for SR)

2 times SR = 2 * 128 = 256 is not equal to 320 hence Ada is wrong

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The angle W equal to 24.3

In a triangle sum of three angles is equal to 180

W = (3x-24) degree

C = (4x-11) degree

T = 2x degree

3x-24+4x-11+2x=180

9x-35=180

9x=180-35

9x= 145

x=16.1

substitute the value of x in W equation

W = 3(16.1)-24 = 24.3

The value of angle W is 24.3

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eq^2: 7x=84 divide 84 by 7 which is 12.

therefore x is equal to 12. Then

1) take that 12 you got in equation 2 and substitute in equation 1 which is:

7x-12y=180

7(12)-12y=180

84 -12y=180

-12y=180-84

-12y=96 ............divide both sides with -12

-y=8 (×-1) both sides

y= -8

therefore 7(12)-12(-8)=180

In a case whereby An article reports "attendance dropped 6% this year, to 1150."  the attendance before the drop was 4,130.

A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means.

Given 8% = 8/100 = 0.08

x (1-0.08)= 3800

x (0.92) =3800

Solving for x

x = 3800/0.92

x= 4,130

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Using the equation of linear regression, the score at 25 hours is 85.6

A line of best fit is a straight line that minimizes the distance between it and some data. The line of best fit is used to express a relationship in a scatter plot of different data points. It is an output of regression analysis and can be used as a prediction tool for indicators and price movements.

To solve this problem, we have to use equation of linear regression

um of x = 40

Sum of y = 319

Mean x = 6.6667

Mean y = 53.1667

Sum of squares (SSx) = 79.3333

Sum of products (SP) = 140.3333

Regression Equation = y = bx + a

b = SP/SSX = 140.33/79.33 = 1.76891

a = MY - bMx = 53.17 - (1.77*6.67) = 41.37395

y = 1.76891x + 41.37395

At 25 hours, the test score will be

y = 1.76891(25) + 41.37395

y = 85.6

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The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

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

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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Answer:

a=110°.... honestly it's a guess.

Step-by-step explanation:

360 to go around the box.

360-70°=290-70°=220

220÷2=110

Answer:

The equation in point-slope form is: y - 5 = 4(x - 2).

The equation in standard form is: 4x - y + 3 = 0.

Answer:

Standard form

4x - y = 3

Step-by-step explanation:

Point slope form of a line equation is:
y - y1 = m(x - x1)

where
(x1, y1) is a point on the line and m is the slope

The standard form of a line equation is:
Ax + Bc = C
where
A, B, C are integers

Slope Point Form

Given
(x1, y1) = (2, 5)
m = 4

The slope-point equation is
y - y1 = m(x - x1)

which is

y - 5 = 4(x - 2)

Expanding the bracket on the right side:
y - 5 = 4x  - 8

Move constant -5 to the right to become +5
y = 4x - 8 + 5 = 4x - 3

Move 4x to left becoming -4x

y - 4x = -3

or

-4x + y = -3

same as

4x - y = 3

This is the standard form with A = -4, B = 1 and C = 13

The correlation coefficient between history and math exam scores is of -0.1321, which means that there is a weak negative correlation between history grades and math grades.

Using a calculator, inserting the history and math scores, the coefficient is of -0.1321, which means that there is a weak negative correlation between history grades and math grades.

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Answer:

-21.6

Step-by-step explanation:

-5.4    

x  4               4x 4=16 so you carry the one to 5x4= 20 + 1 that was carried

--------           keep it negative

-21.6

Answer:

50

Step-by-step explanation:

$5 3 $10 6 $15 9 $20 12 $25 15 $30 18 $35 21 $40 24 $45 27 $50 30

it is seen that if the number of people in the group is n = 23, the probability that at least two people will have the same birthday is at least 1/2.

Let P(A) be the probability that in a randomly selected group of n people, at least two people have the same birthday.

If we assume that the year has 365 days, then the number of ways to select n people with different birthdays is n x (n-1) x (n-2) x ... x (n-364).

the probability of selecting n people with different birthdays is P(A') = n(n - 1)(n - 2)...(n - 364)/365nThen, the probability that at least two people in a group of n have the same birthday is given by P(A) = 1 - P(A').

We need to find the smallest value of n such that P(A) ≥ 1/2.Let's solve for this.Let us find n such that P(A) ≥ 1/2.

By using the complement rule, 1-P(A') = P(A).Then:1 - n(n - 1)(n - 2)...(n - 364)/365n ≥ 1/2n(n - 1)(n - 2)...(n - 364)/365n ≤ 1/2(2)n(n - 1)(n - 2)...(n - 364) ≤ 365n/2Now, take the natural logarithm of both sides and simplify as follows:ln[n(n - 1)(n - 2)...(n - 364)] ≤ ln[365n/2]nln(n) - ln[(n - 1)!] - ln[(n - 2)!] - ... - ln[2!] - ln[1!] ≤ ln[365n/2]

Therefore, we need at least 23 people in the group for the probability of two or more people having the same birthday to be at least 1/2.

This is because n = 23 is the smallest number for which the inequality holds, and therefore, it is the smallest number of people required to ensure that the probability of two or more people having the same birthday is at least 1/2.

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Answer:

Its called an Unknown number, a variable, and a letter.

Step-by-step explanation:

Top 2 answers came from algebra and then last came from preschool....obviously.

The number of oranges that  Carlos bought is n - 8. n is variable.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one math operation, and a sentence. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator).

The alphabetic character that expresses a numerical value or a number is known as a variable in mathematics. A variable is used to represent an unknown quantity in algebraic equations.

Any alphabet from a to z can be used for these variables. Most frequently, the variables "a," "b," "c," "x," "y," and "z" are used in equations.

Given that Frank bought n oranges. Carlos bought 8 fewer oranges than Frank.

The number of oranges that Frank bought is more than the number of oranges that Carlos.

The number of oranges that Carlos bought is n - 8.

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Answer:

b just took the test and i put c trust me it is b

Step-by-step explanation:

After the 6-for-1 stock split, the stock price will be $16.41 per share, assuming no market imperfections or tax effects.

A stock split is a process in which a company increases the number of shares outstanding while proportionally reducing the price per share. In this case, the company plans a 6-for-1 stock split, which means that for every existing share, shareholders will receive six new shares.

To determine the post-split stock price, we divide the original stock price by the split ratio. The original stock price is $98.48, and the split ratio is 6-for-1. Therefore, we calculate:

$98.48 / 6 = $16.41

Hence, after the 6-for-1 stock split, the stock price will be $16.41 per share. This means that each shareholder will now hold six times more shares, but the value of their investment remains the same.

It is important to note that in practice, market imperfections, investor sentiment, and other factors can influence the stock price after a split. However, assuming no market imperfections or tax effects, the calculated value of $16.41 represents the theoretical post-split stock price.

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Given statement solution is :- The value of the number is -1/9.

Let's solve the problem step by step.

Let's assume the number we're looking for is represented by the variable "x".

The problem states that the sum of 9 times the number (9x) and 7 is equal to 6. We can write this as an equation:

9x + 7 = 6

To isolate the variable "x," we need to move the constant term (7) to the other side of the equation. We can do this by subtracting 7 from both sides:

9x + 7 - 7 = 6 - 7

This simplifies to:

9x = -1

Finally, to solve for "x," we divide both sides of the equation by 9:

9x/9 = -1/9

This simplifies to:

x = -1/9

So, the value of the number is -1/9.

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Answer:

No. The input 1.2 has 2 outputs.

Step-by-step explanation:

See attachment for complete question

The first circle represents the domain while the second represents the range of the function.

For a mapping to be a function, it must either be a one to one relationship or a many to one relationship.

One to one, in the sense that; there can be only one entry in the domain points to one entry in the range of the function.

Many to one, in the sense that: there can be multiple domain entries that point to one entry in the range of the function

However, from the attachment it can be seen that an entry in the domain (1.2) points to two entries in the range (6 and 8).

Hence, this does not represent a function.

Answer:

x<-4

Step-by-step explanation:

Solve the inequality:

Answer:

Surface area of a cone = 461.58 In²

Step-by-step explanation:

Surface area of a cone = πrl + or

Surface area of a cone = πr(r+l)

Where r = radius

Radius= diameter/2

Radius=14/2

Radius= 7 inch

And l slant height= 14 inch

Surface area of a cone = πr(r+l)

Surface area of a cone = π*7(7+14)

Surface area of a cone = 7π(21)

Surface area of a cone = 147π

Surface area of a cone = 461.58 In²

Or,-145-(-278) (minus minus plus)

-145+278

133

Answer:

your answer to your math problem is 133

Step-by-step explanation:

Answer:

which principle prevents a brach from abusing  its power

Step-by-step explanation:

which principle prevents a brach from abusing  its power

Answer:

20x - 30 = 250

Step-by-step explanation:

20x - 30 = 250

20x = 280

x = 14

Answer:

Let's work backwards to figure out how many cookies were left after Mrs. Johnson ate 3 cookies:

Before Mrs. Johnson ate the cookies, the class had eaten 5/6 of the cookies, which means that 1/6 of the cookies were left.

Let's call the number of cookies in 1/6 of the batch "x". So the total number of cookies is 6x.

After the class ate 5/6 of the cookies, there were 1/6 of the cookies left, which is x.

Then Mrs. Johnson ate 3/4 of the cookies that were left, which means she ate 3/4*x cookies.

We know that Mrs. Johnson ate 3 cookies, so we can set up the equation: 3 = 3/4*x

Solving for x:

3 = 3/4x

34/3 = x

4 = x

So there were 4 cookies in 1/6 of the batch, which means there were 6 times as many, or 6*4 = 24 cookies in the whole batch.

Therefore, Mrs. Johnson brought 24 cookies to class that day.

Answer: 24 cookies.

Step-by-step explanation:

the answer to the questions is as below

Let's start by using variables to represent the number of cookies that Mrs. Johnson brought to class. Let's say she brought "x" cookies.

We know that the class ate five-sixths of the cookies, which means that there were only one-sixth of the cookies left. This can be represented as:(1/6)x cookies left

We also know that Mrs. Johnson ate three-fourths of the cookies that were left, which is equal to 3 cookies. We can set up an equation to represent this:

(3/4)(1/6)x = 3

Simplifying this equation, we get:

(1/24)x = 1

x = 24

Therefore, Mrs. Johnson brought 24 cookies to class that day.

the first column of matrix b (b1) is [1, -3, 1] and the second column of matrix b (b2) is [1, 3, 1].

To determine the first and second columns of matrix b, we need to find the values of b1 and b2.

Given that a = [1, -3; -3, 5] and ab = [-5, -5; 6, 3; 7, 4], we can set up the following equation:

ab = [a * b1, a * b2]

To find b1, we can solve the equation:

[-5, -5; 6, 3; 7, 4] = [1, -3; -3, 5] * [b1, b2]

By matrix multiplication, we can write the following system of equations:

-5 = 1 * b1 + -3 * b2

6 = -3 * b1 + 5 * b2

7 = 1 * b1 + -3 * b2

Simplifying these equations, we have:

-5 = b1 - 3b2

6 = -3b1 + 5b2

7 = b1 - 3b2

We can solve this system of linear equations to find the values of b1 and b2.

Adding the first and third equations, we get:

2b1 = 2

Dividing by 2, we find:

b1 = 1

Substituting b1 = 1 into the second equation, we have:

6 = -3 + 5b2

5 = 5b2

b2 = 1

Therefore, the first column of matrix b (b1) is [1, -3, 1] and the second column of matrix b (b2) is [1, 3, 1].

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H represents integer -2 on the number line

Opposite value of -2 is 2

Absolute value of -2 is 2

What is opposite and absolute value of an integer?

Opposite integers: Two numbers that are the same distance from zero but on opposite sides.

Absolute value of integer: The integer’s distance from zero on the number line.

Every integer has an opposite.

The sum of two opposites is always zero.

For example 5 is opposite of -5

According to the given question:

The integer represented by the H lies on the left hand side of zero that is negative side of number line.

H represents -2 on the number line

Opposite value of -2 is 2

Absolute value of -2 is 2

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Answer:

2,000

Step-by-step explanation:

because the 8 in the hundreds place is more than 5 and allows the number to be rounded up

Answer: 2,000

Step-by-step explanation:

the 1 next to the 8 makes that 1 to round up to a 2 which makes it 2,000.

Answer:

1/6

Step-by-step explanation:

On an unbiased die, the probability of rolling a 3 would be a 1/6 since there are 6 numbers and the chosen outcome is 1/6.

Answer:

3/36 (8.333%)

Step-by-step explanation:

On a two (6 sided) dice roll probability table is

3. 3/36 (8.333%)

4 6/36 (16.667%)

5 10/36 (27.778%)

6 15/36 (41.667%)

The general solution of the given second-order linear ordinary differential equation is y = (c1 + c2x)e^(5x) + 22/25, where c1 and c2 are arbitrary constants.

The given differential equation is y'' - 10y' + 25y = 22. To find the general solution, we first need to find the complementary function by solving the associated homogeneous equation, which is y'' - 10y' + 25y = 0.

Assuming a solution of the form y = e^(rx), we substitute it into the homogeneous equation and obtain the characteristic equation r^2 - 10r + 25 = 0. Solving this quadratic equation, we find that r = 5 is a repeated root.

Therefore, the complementary function is of the form y_c = (c1 + c2x)e^(5x), where c1 and c2 are arbitrary constants.

Next, we find a particular solution for the non-homogeneous equation y'' - 10y' + 25y = 22. Since the right-hand side is a constant, we can assume a constant solution y_p = a.

Substituting y_p = a into the differential equation, we find that 25a = 22, which gives a = 22/25.

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11. The area difference between them is 96 square units (192 - 96).

12. The trough stands 4 feet tall.

11. The area of Figure A is 96 square units (12 x 8) and the area of Figure B is 192 square units (16 x 12). The difference in their areas is 96 square units (192 - 96).

12. Let the height of the trough be h. The volume of the trough is given by the formula:

Volume = base area x height

Substituting the given values:

96 = 24h

Dividing both sides by 24:

h = 4

Therefore, the trough is 4 feet tall.

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