Write the equation of a line perpendicular to and = 2 x – 5 that passes through the point (2,-5).

Answer:

A rectangle of 10.6 x 11.4 dimensions.

Step-by-step explanation:

(5.3*2)*(5.7*2)=5.3*4*5.7=10.6x11.4.

The value of N would be N = q/(9 + 4uz).

What is algebraic manipulation?

Algebraic manipulation is the process of rearranging mathematical expressions in order to solve equations or to make them easier to understand. It involves the use of mathematical operations and properties such as addition, subtraction, multiplication, division, and the commutative, associative, and distributive properties.

Given:

q - 4Nuz = 9N

To find the value of N, we can use algebraic manipulation.

9N + 4Nuz = q

N(9 + 4uz) = q

N = q/(9 + 4uz)

Hence, the value of N would be N = q/(9 + 4uz).

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Answer:

same side interior for 2 and 6 i think

The median from the histogram is 5

A histogram is a graph used to represent the frequency distribution of a few data points of one variable.

The median is the value in the middle of a data set.

The total frequency of the distribution is

1+4+5+4+2+1+1+1+1

= 20

The median term will be on

20+1)/2

= 10.5th

Therefore form the graph the 10.5 th term falls in the class of 5

This means that the median class is 5.

Therefore the median from the histogram is 5

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Enseñanza Básica is the term used to describe the first level of education in the Chilean education system, which includes the first to eighth grades. A teacher of Enseñanza Básica asked his students to choose three-digit mixed numbers that can be formed.

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The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.

The three digits different from {1, 2, 3, 4, 5} can be chosen from {0, 6, 7, 8, 9}.

The greatest mixed number is formed by placing the largest digit as the whole number and the remaining two digits as the fraction in descending order, i.e., 9 87/100 or 9.87.

The smallest mixed number is formed by placing the smallest non-zero digit as the whole number and the remaining two digits as the fraction in ascending order, i.e., 6 07/90 or 6.0789.

The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.

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The Question in English

A Basic Education teacher tells his students to choose three digits

different from the set {1, 2, 3, 4, 5} and form mixed numbers by placing the digits

in the locker It also reminds them that the fractional part has to be

less than 1, for example

2

3

5

. What is the difference between the greatest and the least of the

mixed numbers that can be formed?

Answer:

see explanation

Step-by-step explanation:

-2 is your y-intercept so one point on your plot is (0,-2)

your slope is 1/4, rise/run

so from the y-int go up 1 and right 4, so another point is (-1,4)

and you can keep going up 1 and right 4 for as many points as you need.

Answer:

x≤20

Step-by-step explanation:

x+5≤25

 -5.  -5

x≤20

Hopes this helps please mark brainliest

Answer:

The answer is B

Step-by-step explanation:

20+5=25 and x can be greater than or equal to 25

Answer:

a)0.764

b)0.116

c)Expected value =1.75

Variance=1.1375

Step-by-step explanation:

Total Number of employees = 20

Number of promotions awarded = 7

Probability of success p =\(\frac{7}{20}\)

Probability of failure q = \(1-\frac{7}{20}=\frac{13}{20}\)

We randomly select 5 applications

a) What is the probability that at most 2 employees were promoted?

We will use binomial

\(P(X=x)=^nC_r p^r q ^{n-r}\\P(X\leq 2)=P(X=0)+P(X=1)+P(X=2)\\P(X\leq 2)=^{5}C_0 (\frac{7}{20})^0 (\frac{13}{20})^{5-0}+^{5}C_1 (\frac{7}{20})^1 (\frac{13}{20})^{5-1}+^{5}C_2 (\frac{7}{20})^2 (\frac{13}{20})^{5-2}\\P(X\leq 2)=\frac{5!}{0!(5-0)!} (\frac{7}{20})^0 (\frac{13}{20})^{5-0}+\frac{5!}{1!(5-1)!}(\frac{7}{20})^1 (\frac{13}{20})^{5-1}+\frac{5!}{2!(5-2)!} (\frac{7}{20})^2 (\frac{13}{20})^{5-2}\\P(X\leq 2)=0.764\)

b)What is the probability that no employees were promoted?

\(P(X=0)=^{5}C_0 (\frac{7}{20})^0 (\frac{13}{20})^{5-0}\\P(X=0)=\frac{5!}{0!(5-0)!} (\frac{7}{20})^0 (\frac{13}{20})^{5-0}\\P(X=0)=0.116\)

c)

\(E(X)=np=5 \times (\frac{7}{20})=1.75\\Var(X)=npq=5 \times (\frac{7}{20}) \times \frac{13}{20}=1.1375\)

The equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is: R(x) = 250000 + 375x - 2.5x²

Equations are mathematical statements with two algebraic expressionsοn either sideοf an equals (=) sign. It illustrates the equality between the expressions writtenοn the left and right sides. To determine the valueοf a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

N(x) = 625 + 2.5x

The revenue R(x) will be the productοf the numberοf students enrolled and the fee charged per student. The fee charged per student will be (400 - x) dollars. So, the revenue function can be represented as:

R(x) = (625 + 2.5x)(400 - x)

Simplifying the expression, we get:

R(x) = 250000 + 375x - 2.5x²

Therefore, the equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is:

R(x) = 250000 + 375x - 2.5x²

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Answer:

4275$

Step-by-step explanation:

3400 down pmt + 375 sec dep + 500 fee

The total cash due at signing is, $15300

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, The MSRP of the car is,  $27,500.

Now, The monthly payment = $425 and it is for 36 months,

Therefore, The total monthly downpayment is, 36×425 = $15300.

So, The total cash due at signing is, $15300 the monthly installments.

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Answer:

33

Step-by-step explanation:

The answer is 1628. Because 16 x 21 = 28 x 12 = 336

Hope this helps

Answer:

−4( 3 − (−1) ) (2)

−4( 3 + 1 ) (2)

(−4) (4) (2)

(−16) (2)

−32

Answer:

a) -73°C, -15°C, -12°C, 0°C, 16°C, 37°C, 96°C

a) 96°C, 37°C, 16°C, 0°C, -12°C, -15°C, -73°C

b) -36°C, -15°C, -7°C, -1°C, 0°C, 20°C, 23°C

b) 23°C, 20°C, 0°C, -1°C, -7°C, -15°C, -36°C

ANSWER:

0.5762

STEP-BY-STEP EXPLANATION:

The first thing is to calculate the value of z, with the help of the following equation:

In this case, we calculate for the values between 28 and 36 inches, like this:

Replacing:

The probability is 0.5762

the answer is A: 146 ≤ 9c + 10

Answer:

Slope : -1/4

Equation: y = -x + 1/4

Step-by-step explanation:

You start by finding the slope using the slope formula. Then after finding the slope you use one of the pairs to substitute in the equation y = mx+b then after doing that you solve for your b since it will be the only missing variable. Then you have your equation.

Answer:

6 weeks

Step-by-step explanation:

We need to find the common multiple of 3 and 2. The multiple of 2 and 3 is 6.

So on the 6th week.

I hope I could help!

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.

The clubs meet on the 6th week.

The number of weeks before the clubs meet again on the same week is 5.

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,

The chess club meets every two weeks and the student council meets every three weeks.

This means,

The least common multiple of 2 and 3 is 6.

The club meets on the 6th week.

Thus,

The clubs meet on the 6th week.

The number of weeks before the clubs meet again on the same week is 5.

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Answer:

7 4/5

Step-by-step explanation:

when you subtract, keep the first value then change subtract to addition and, finally, change the sign of the second value

this problem, 7 1/5 -(-3/5) is the same as this addition problem:

7 1/5 + 3/5

this equals 7 4/5

Answer:

5 1/2 x 1/3 = 11x/6

the two numbers are -7 and 26.



Let's call the first number "x" and the second number "y".

We're given that "twice a number and another number is five", which can be translated as:

2x + y = 5

We're also given that "the sum of two numbers is 19", which can be translated as:

x + y = 19

We now have two equations with two variables. We can solve for one variable in terms of the other, and then substitute that expression into the other equation to solve for the remaining variable.

Let's solve the second equation for "x":

x + y = 19

x = 19 - y

Now we can substitute this expression for "x" into the first equation:

2x + y = 5

2(19 - y) + y = 5

38 - 2y + y = 5

38 - y = 5

y = 33

Now we can use either equation to solve for "x":

x + y = 19

x + 33 = 19

x = -14

Therefore, the two numbers are -14 and 33.

Answer: the two numbers are -7 and 26.

Step-by-step explanation:

The average change as a simplified mixed number would be,

⇒ 1 3/4

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

We have to given that;

The running back for the Bulldogs football team carried the ball 7 times for a total loss of 12 1/4 yards.

Now, The average change as a simplified mixed number would be,

⇒ (12 1/4) / 7

⇒ (49/4) / 7

⇒ (49 / 4×7)

⇒ 7/4

⇒ 1 3/4

Therefore, The average change is,

⇒ 1 3/4

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floor plan => It is the scale drawing that show the relationship between rooms, spaces, and physical features viewed from the above

THIS PIC WILL ALSO HELP U

Hi there!

A.) Begin by verifying that both endpoints have the same y-value:

g(-1) = 2(-1)² - 4(-1) + 3

Simplify:

g(-1) = 2 + 4 + 3 = 9

g(2) = 2(2)² - 4(2) + 3 = 8 - 8 + 3 = 3

Since the endpoints are not the same, Rolle's theorem does NOT apply.

B.)

Begin by ensuring that the function is continuous.

The function is a polynomial, so it satisfies the conditions of the function being BOTH continuous and differentiable on the given interval (All x-values do as well in this instance). We can proceed to find the values that satisfy the MVT:

\(f'(c) = \frac{f(a)-f(b)}{a-b}\)

Begin by finding the average rate of change over the interval:

\(\frac{g(2) - g(-1)}{2-(-1)} = \frac{3 - 9 }{2-(-1)} = \frac{-6}{3} = -2\)

Now, Find the derivative of the function:

g(x) = 2x² - 4x + 3

Apply power rule:

g'(x) = 4x - 4

Find the x value in which the derivative equals the AROC:

4x - 4 = -2

Add 4 to both sides:

4x = 2

Divide both sides by 4:

x = 1/2

The nearest kilometers to 999.09344471 km is 1000 km.

Given value is 999.09344471 Km.

We have to calculate the round off value to the nearest kilometers. we know that after the decimal if the value of tenth place is 5 or bigger than 5 then we add 1 to the tens place digit, this is the fundamental rule of rounding off.

Now on following this rule from the very right hand side up to the tenth place digit we come to the conclusion that only  the value after the decimal (934) is to be rounded off which is (900).

So 999.09344471 km is finally becomes 999.900 km after rounding of to nearest hundredth value.

Again rounding off 999.900 km to nearest km so it becomes 1000 km.

The nearest kilometers to 999.09344471 km is 1000 km.

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(a) After t years, the height is 18t² + 3t + 10

(b) The shrubs are847 cm tall when they are sold.

Given growth rate

dh/dt = 1.8t + 3

dh = (18t + 3)dt

Integrating this, we have

h = 18t² + 3t + C

When t = 0, h = 10cm

Then

10 = C

So

(a) h = 18t² + 3t + 10

(b) Because they are sold after every 9 years, then at t = 9

h = 18(9)² + 3(9) + 10

= 810 + 27 + 10

= 847 cm

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The angle relationships which are correct are:

∠4 and ∠6 are same side interior angles.

∠3 and ∠6 are alternate interior angles.

Side interior angles

Two angles that are on the same side of the transversal and written the same side of the transversal when two lines are intersected by a third line are called side angles.

Alternate interior angles

Alternate interior angles are the angles formed on the opposite sides of the transversal.

Hence the correct relationship are ∠4 and ∠6 are same side interior angles and ∠3 and ∠6 are alternate interior angles.

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Answer:

Part a) a b and e

Part b) a and d

Step-by-step explanation:

Part A)

The sum of the angles is a triangle is always 180 degrees.

So that means that of the answer choices, the ones with angle measures that add up to 180 degrees form a triangle. 0

a) 10 + 10 + 160 = 180

b) 15 + 75 + 90 = 180

c) 20 + 80 + 100 = 200

d) 35 + 35 + 105 = 175

e) 60 + 60 + 60 = 180

a , b and e all have angle measures that would add up to 180 degrees therefore a b and e would form triangles

Part B)

In order for side lengths to form a triangle, the sum of the two shorter sides must be greater than the longest side.

a) all side lengths are 3 which would form an equilateral triangle ( triangle with all equal sides ). For more clarification we could say 3 + 3 = 6 > 3 ( sum of sides are greater than other side length )

b) 8 + 13 = 21 > 83

c) 5 + 9 = 14 > 14

d) 6 + 7 = 13 > 8

The only true outcomes are a and d so a and d would form triangles

Answer:

Each student must raise $14.90

Step-by-step explanation:

This is actually fairly easy to figure out (at least this part) all you do is 447/30 and then you get your 14.9 (14.90)

m = 14.90

30m = 447

A formula that gives the amount is

The half life of the element is calculated from the formula

N(t) = N'(1/2)^(t/t')

where

N(t) = quantity of the substance remaining

N' = initial quantity of the substance

t = time elapsed

t' = half life of the substance

Plugging the values from the problem

N(t) = ?

N' = 70 grams

t = t

t' = 2.6 years

N(t) = 70 (0.5)^t/2.6

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Answer: Let's use the variables "r" and "c" to represent the cost of one rose and one carnation, respectively.

From the first sentence, we know that 8 roses and 5 carnations cost $31.75. So we can write the equation:

8r + 5c = 31.75

From the second sentence, we know that 1 rose and 3 carnations cost $5.75. So we can write the equation:

r + 3c = 5.75

Now we have two equations with two variables. We can use substitution or elimination to solve for "c". Let's use substitution:

r = 5.75 - 3c (from the second equation)

Substitute this expression for "r" into the first equation:

8(5.75 - 3c) + 5c = 31.75

Simplify and solve for "c":

46 - 24c + 5c = 31.75

-19c = -14.25

c = 0.75

Therefore, the cost for a carnation is $0.75.

Step-by-step explanation: