Identify the hypothesis and conclusion of following conditional statement.

If 2 x+5>7 , then x>1 .

A check or quadrangle is defined by the intersection of pairs of diagonals of a parallelogram.

A parallelogram is a quadrilateral with two pairs of parallel sides. In a parallelogram, the opposite sides are parallel and have the same length. The opposite angles of a parallelogram are equal. A parallelogram is a unique type of quadrilateral with specific characteristics.

A quadrangle or check is defined as the intersection of pairs of diagonals of a parallelogram. In other words, it is the area inside the parallelogram that is divided into four triangles, each of which shares a common vertex in the center of the parallelogram.

The diagonals of a parallelogram are the line segments that connect the opposite vertices of a parallelogram. When these diagonals intersect, they form four triangles, which are also known as the parallelogram's "sub-triangles." The point where the diagonals intersect is called the center of the parallelogram, and it divides each diagonal into two equal parts.

To know more about parallelogram refer here:

https://brainly.com/question/1563728#

#SPJ11

The monthly salary of Ward based on this annual salary is 5.53k

Annual salary = 66.4k

There are 12 months in a year

Monthly salary= Annual salary / 12

= 66.4k / 12

= 5.533333333333333

Approximately,

5.53k per month

Therefore, Ward receives monthly salary of 5.53k

Read more on monthly salary:

https://brainly.com/question/24825618

#SPJ1

Answer:

2.25 dollars per pound

Step-by-step explanation:

Take the cost and divide by the number of pounds

11.25 dollars / 5 pounds

2.25 dollars per pound

Answer:

The cat food costs 2.25 dollars per pound

Step-by-step explanation:

First let's write this like an equation. Let's add a variable instead of pounds and you can name that anything you like. I prefer to use X. And since we have 5 pounds of cat food, we put 5x.

X = 1 Pound of cat food

11.25$ = 5x

Now we want X alone, so we divide both sides by 5

11.25$/5 = 5x/5

Now if we divide we get

2.25$ = X

And if we turn x back into pounds of cat food, we get that, for 2 dollars and 25 cents we have 1 bag of cat food

2.25$ = 1 Pound of cat food

Answer:

O AB is a major arc

Step-by-step explanation:

Circle M has the central angle LAMB with a measure of 63º

Which of the following statements does not represent the  circle M?

----------------

O AB is a minor arc

O mAB=63 º

O The center of the circle is point M.

O AB is a major arc

Given the expression

Multiplying both values gives

Hence, the answer is

Answer:

-9

Step-by-step explanation:

the slope = rate of change

Answer:

The rate of change is -9.

Step-by-step explanation:

This is in slope intercept form, y=mx+b

Therefore, m is the slope/rate of change. In this case, m=-9 is the slope.

78 squared lies between 8 and 9

The square root of a number is that factor of a number which when multiplied by itself gives the original number. Squares and square roots are special exponents. Consider the number 9. When 3 is multiplied by itself, it gives 9 as the product. This can be written as 3 × 3 or 3². Here, the exponent is 2, and we call it a square. Now when the exponent is 1/2, it refers to the square root of the number.

For example, √n = n^1/2, where n is a positive integer.

Given number : √ 78

Now, perform the prime factorization of  √ 78

= √ 2*3*13

= √ 2* √ 3* √ 13

= 1.414*1.732*3.605

=8.8288

Hence, squared of 78 lies between 8 and 9

Learn more about square root at:https://brainly.com/question/428672

#SPJ1

Answer:

35

Step-by-step explanation:

if you multiply all of the numbers in the first boxes by five, those numbers would be correct. So if you multiply 7 by 5, your answer would be 35

Answer:

3

Step-by-step explanation:

(4p-m)/4

m=-4 and p=2

Since you know what m and p represent, it shouldn't be hard to solve.

(4 [2] - [-4] )/4   The 4 would be positive since there are two negatives.

(8 + 4)/4 Do the work inside the parenthesis first...

(12)/4 now divide.

Answer:

I hope this helps

Step-by-step explanation:

plz mark brainliest

Given:

Kaci earned scores of 78, 88, 87, and 91 on her first four science tests.

She has one more test to take and wants to get an average score of 80 or more on her tests.

Let the score of the final test = x

So, the average of the scores will be equal to or greater than 80

So, we have the following inequality

Solve for x:

So, the minimum score will be 56

Total 64900 stamps more is needed to be collected so the group can break the record.

The current record is 150,000.

Friends collected 10,000, 75,000, and 100 stamps

Let the total stamps need to be collected to break the world record be x,

The total stamps collected should be greater than 150000 to break the world record

10000 + 75000 + 100 + x > 150000

85100 + x > 150000

x > 64900

The total stamps need to be collected is greater than 64900 to break the world record.

Therefore, 64900 stamps need to be collected so the group can break the record.

To learn more about inequalities refer here

https://brainly.com/question/25275758

#SPJ1

Two point charges, q1 = 3.99 nC located at x = 0.205 m and q2 = 5.01 nC at x = -0.302 m, are placed on the x-axis. The electric field and direction at a given point can be calculated using the principle of superposition.

The electric field at a point due to a point charge is given by Coulomb's law, E = kq/r^2, where E is the electric field, k is Coulomb's constant (8.99 x 10^9 Nm^2/C^2), q is the charge, and r is the distance between the point charge and the point where the electric field is being measured. To calculate the net electric field at a point due to multiple charges, we use the principle of superposition, which states that the total electric field at a point is the vector sum of the electric fields due to each individual charge.

In this case, we have two charges, q1 = 3.99 nC and q2 = 5.01 nC. The electric field at a point P on the x-axis, due to q1, can be calculated as E1 = kq1/r1^2, where r1 is the distance between q1 and point P. Similarly, the electric field at point P due to q2 can be calculated as E2 = kq2/r2^2, where r2 is the distance between q2 and point P. To find the net electric field at point P, we add the electric fields vectorially, E_net = E1 + E2.

To learn more about superposition click here: brainly.com/question/12493909

#SPJ11

Step-by-step explanation:

You want to set one of the equations equal to either x or y. For this, I put x+y=-2 equal to y which would be y=-x-2. Then you plug this in to the other equation for y. This would give you 5x+2(-x-2)=2. When you factor the two into the parenthesis, combine like terms, and keep the x values on ones side and the other numbers on the other side, you get 3x=6

Answer:

y=-3/2x+4

Step-by-step explanation:

3x+2y=8

2y=-3x+8 /:2

y=-3/2x+4

Answer:

it's c

Step-by-step explanation:

you first get the x/slope to other side and then divide to isolate the y hope it helps!

Answer: The form of payment that Courtney can lose and not get back would be cash.

Step-by-step explanation:

The reason why cash couldn't be returned back because it doesn't have a piece of U.S money wouldn't have a specific certified owner that they can be returned to.

Other forms of payment like credit cards, debit cards, and checks have specific bank information with the card holder's name on it so if Courtney actually lost one of those, she would be most likely to receive it back without any complicated  verification process.

Therefore, Courtney would not be able to receive her cash back if she accidentally loses it. Hope this helps you with your Imagine Math homework or assignment!

-From Certified 5th Grade Honors Student

Answer: 45ft

Hope this helps

Answer:

A trapezoid is defined as a quadrilateral with only 2 parallel sides. An

isosceles trapezoid is defined as a trapezoid with the non-parallel sides being

congruent. Prove that the base angles on an isosceles trapezoid ( are congruent

Answer:

18. d

19. c (not sure)

20. c

Answer:

18) d. Synopsis

19) c. Duration

20) c. Pacify

Step-by-step explanation:

18) When you don’t wanna give the full version of a story sum it up; give a summary or synopsis!

19) Uh tbh it just makes the most sense in context of the sentence, read it all together and you’ll see ;)

20) In the sentence it says “calm down” only way to calm someone down is to pacify them or give them what they want… in this context she needs to pacify them. Plus it just makes sense.

Hope this helps, good luck have a good day!

Answer:

first pic- 1. slope is -2/3, y-inter is 1, y=-2/3x+1

2.slopeis 3/-2, y-inter is -1, y=3/-2x+(-1)

Answer:

second pic- 1. slope is -3/-2, y-inter is 0, y=-3/-2x+0

2. slope is 1/2, y-inter is -1, y=1/2x+(-1)

Answer: 60 degrees

Step-by-step explanation: triangles are come to 180 if you add all angles correctly. therefore if you do 180-90-30, you'll get 60.

Answer:

1/3

Step-by-step explanation:

total number of students = 15

students that chose choir as their favourite class= 5

P(choir)= 5/15 = 1/3

Answer:

2

Step-by-step explanation:

rhombus = a parallelogram

so 20 = 2*(8+x)

so x =2

Answer:

i will add the pictures in order , desmos is a helpful way to graph

Step-by-step explanation:

i hope this helps

The formula for the distance from P to B is √(25-10y+y²+z²)  and the formula for L(x, y) the total length of the connector joining P to A, B, and C is √(5²+y²+z²)+√((5-x)²+y²+z²)+√(x²+y²+(5-z)²).

Given, Domain: 5, 5, and A, B, C are not given and unknown.

2. To find the formula for the distance from P to B, first we need to consider the triangle PBA and the Pythagoras theorem. The distance from P to B is the hypotenuse of the right triangle PBA and can be obtained by the formula using the Pythagorean theorem as follows; h² = p² + b²

Where, h = hypotenuse, p = perpendicular, b = base

Let's use the information given in the problem, where B is on the x-axis, which means the distance from P to B is the length of the segment BP. Then, the value of p is (5 - y) and the value of b is z.

So, the formula for the distance from P to B will be; BP = √(5-y)²+z²= √(25-10y+y²+z²)

3. Now, to find a formula for L(x,y), we need to consider the distance between A, B, and C. We have already found the length of the connector joining B to P, which is BP.

To find the length of connector AP and CP, we have to use the distance formula for 3D space that is the formula for the Euclidean distance between two points (x1, y1, z1) and (x2, y2, z2).

The formula is given by;d = √((x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²)

Therefore, the formula for the total length of the connector joining P to A, B, and C can be given as follows;

L(x, y) = AB + AP + CP = √(5²+y²+z²)+√((5-x)²+y²+z²)+√(x²+y²+(5-z)²)

4. Now, we need to find the minimum value of L(x,y) over all (x,y,z) that satisfy the equation x+y+z=5.

To do this, we have to differentiate L(x,y) with respect to x and y. We assume that partial derivatives are equal to zero since we are looking for the minimum value.

L(x,y) = AB + AP + CP = √(5²+y²+z²)+√((5-x)²+y²+z²)+√(x²+y²+(5-z)²)∂L/∂x = -√((5-x)²+y²+z²)/(√((5-x)²+y²+z²)+√(x²+y²+(5-z)²)) = √(x²+y²+(5-z)²)/(√((5-x)²+y²+z²)+√(x²+y²+(5-z)²))∂L/∂y + -√(y²+z²+25)/(√(5²+y²+z²)+√((5x)²+y²+z²)) = √(y²+z²+25)/(√(5²+y²+z²)+√((5-x)²+y²+z²))

The minimum value occurs when the partial derivatives are equal to zero.

Therefore, we have the following two equations; x²+y²+(5-z)² = (5-x)²+y²+z² ……………(1)

y²+z²+25 = 5²+y²+z²+2√((5-x)²+y²+z²) ……(2)

Simplify equation (2) : 5√((5-x)²+y²+z²) = 5² - 25 + 2x√((5-x)²+y²+z²)

Squaring both sides25(5-x)² + 25y² + 25z² = 25x² + 625 - 50x

Substituting z = 5-x-y in the above equation

25(2x² - 10x + 25) + 25y² - 50xy = 625 …………….(3)

Now, we have to minimize equation (3) subject to the condition x + y + z = 5.

We will use the Lagrange multiplier method for this.

Let's assume that F(x,y,z,λ) = 25(2x² - 10x + 25) + 25y² - 50xy + λ(5-x-y-z)∂F/∂x = 100x - 250 + λ = 0∂F/∂y = 50y - 50x + λ = 0∂F/∂z = λ - 25 = 0∂F/∂λ = 5 - x - y - z = 0

Solving these equations, we get x = 5/3, y = 5/3, z = 5/3

Now we can substitute these values in equation (1) or (2) to find the minimum value of L(x,y).

Using equation (2), we get25 = 5² + 2√((5/3)²+y²+(5/3)²)√((5/3)²+y²+(5/3)²) = 10/3

Substituting back into the equation for L(x,y) we get L(x,y) = √50+√50+√50=3√50

the minimum value of L(x,y) over all (x,y,z) that satisfy the equation x+y+z=5 is 3√50

Therefore, the formula for L(x, y) is √(5²+y²+z²)+√((5-x)²+y²+z²)+√(x²+y²+(5-z)²).

To learn more about distance click here https://brainly.com/question/15172156

#SPJ11

The correct interpretation of the 95% confidence interval is:

"We estimate with 95% confidence that the true population mean height of orangutans is between 52 and 58 inches."

What is statistics?

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of numerical data. It involves the use of methods and techniques to gather, summarize, and draw conclusions from data.

The confidence interval provides a range of values within which the true population mean height is likely to fall with a 95% level of confidence. It does not provide information about individual orangutans' heights or the sample mean's precise location within the interval.

Therefore, The correct interpretation of the 95% confidence interval is:

"We estimate with 95% confidence that the true population mean height of orangutans is between 52 and 58 inches."

To learn more about statistics from the given link:

https://brainly.com/question/28053564

#SPJ1

The formal charge on the central iodine atom in the Lewis structure of the iodite ion (IO₂⁻) that satisfies the octet rule is 0.

Formal charge can be defined as the electric charge on an atom if the electrons were distributed equally between the atoms in a compound. It can be calculated using the following formula:

FC = Valence electrons - Lone pair electrons - 1/2 Bonding electrons

In the Lewis structure of IO₂⁻, there are two oxygen atoms that each contain six valence electrons, and the central iodine atom has seven valence electrons. There are two single bonds between each oxygen atom and the central iodine atom, which account for four bonding electrons.

In the Lewis structure, there are also two lone pairs of electrons around each oxygen atom. Thus, by using the above formula, we can calculate the formal charge of the central iodine atom.

FC = 7 valence electrons - 0 lone pair electrons - 1/2 (4 bonding electrons)

FC = 7 - 0 - 2 = 5.

Thus, the formal charge on the central iodine atom is 0 since it owns the same number of valence electrons that it has in an isolated atom.

Learn more about formal charge here:

https://brainly.com/question/30459289

#SPJ11

There are 22 people who sent the chain letter, and 189 people did not continue the chain.

We know that the chain started with one person who sent it to 7 others, so that makes a total of 8 people in the first round. In the second round, each of those 7 people could either send it to 7 more people or ignore it, so there are two possibilities for each of those 7 people: they either continue the chain or they don't.

Therefore, there are 2⁷ = 128 possible outcomes for the second round.

If we assume that everyone who received the letter in the second round sent it to 7 more people, then there would be 7 x 128 = 896 people in the third round.

Continuing this pattern, we can see that the number of people in each round is given by the formula of combination 8 x 7ⁿ⁻¹, where n is the round number (starting with n = 1 for the first round).

We want to find the round number such that the total number of people in the chain is 211. Setting the formula above equal to 211 and solving for n gives

8 x 7ⁿ⁻¹ = 211

7ⁿ⁻¹ = 26.375

n - 1 = log_7(26.375)

n = 2.78 (rounded to two decimal places)

Since we can't have a fractional round number, we can assume that the chain ended after the second round (since the third round would have too many people). Therefore, the total number of people who sent the letter is

8 + 7(2) = 22

To find the number of people who did not continue the chain, we can subtract the number of people who sent the letter from the total number of people in the chain

211 - 22 = 189

Therefore, 189 people did not continue the chain.

To know more about combination:

https://brainly.com/question/31575450

#SPJ4

Answer:

The average rate will be -11000 dollars per year.

Step-by-step explanation:

The price of a house in 2005 = $250,000

The  price of a house in 2010 = $195,000

at x₁ = 2005, f(x₁) = 250,000

at x₂ = 2010,  f(x₂) = 195,000

Using the formula to determine the average rate of change for the

house each year.

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]

                      = [195,000 - 250,000 ] / [2010-2005]

                      = -55000 / 5

                      = -11000

Therefore, the average rate will be -11000 dollars per year.

The sum of the reciprocals of the roots of the equation\(\[\frac{2003}{2004}x + \frac{1}{x} = 1\]\)is 1.

To solve this, let's first find the roots of the given equation.

Clear the fraction by multiplying both sides by 2004x:

2003\(x^2\) + 2004 = 2004x

Rearrange the equation to form a quadratic equation:

2003\(x^2\) - 2004x + 2004 = 0

Now, let's use Vieta's formulas, which relate the coefficients of a quadratic equation to the sum and product of its roots.

Let the roots of the equation be r1 and r2. According to Vieta's formulas, we have:

Sum of the roots: r1 + r2 = -b/a

Product of the roots: r1 × r2 = c/a

In our case, a = 2003, b = -2004, and c = 2004.

Calculate the sum of the roots:

r1 + r2 = -(-2004) / 2003 = 2004 / 2003

Find the sum of the reciprocals of the roots:

(1/r1) + (1/r2) = (r1 + r2) / (r1 × r2)

Since we already have the sum of the roots, we only need the product of the roots to complete the calculation:

r1 × r2 = 2004 / 2003

Plug the values into the equation:

(1/r1) + (1/r2) = (2004 / 2003) / (2004 / 2003) = 1

for such more question on reciprocals

https://brainly.com/question/20896748

#SPJ11