Mrs. Morales wrote a test with 18 questions covering spelling and vocabulary. Spelling questions (x) are worth 5 points and vocabulary questions (y) are worth 10 points. The maximum number of points possible on the test is 100. Write an equation in slope-intercept form to represent the total number of points on the test. If necessary, write any fraction in decimal form. (Please help ASAP its due tmrw)

( − 2 ) ( 3+ 2 2 − − 2 )

Hope this helps, have a great day!

The value of x of the quadrilateral using the concept of similar quadrilaterals is; x = 1.5

Two quadrilaterals are referred to as similar quadrilaterals when the three corresponding angles are the same and as a result the fourth angles automatically become the same due to the fact that the interior angles of a quadrilateral sum up to 360 degrees and two adjacent sides have equal ratios.

Thus, we can say by the concept of similar quadrilaterals that;

AB/LM = BC/MN

Thus;

14/(x + 9) = 10/(x + 6)

14(x + 6) = 10(x + 9)

14x + 84 = 10x + 90

14x - 10x = 90 - 84

4x = 6

x = 1.5

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Answer:

option c

Step-by-step explanation:

The definite and indefinite integral are both important concepts in calculus. The indefinite integral represents the antiderivative of a function,

which means finding a function whose derivative is the original function. It is often denoted by the symbol "∫" followed by the function to be integrated. The indefinite integral is not unique, as it can have an arbitrary constant of integration.

On the other hand, the definite integral is the signed area between the curve and the x-axis over a specified interval. It is often denoted by the symbol "∫" with limits of integration at the upper and lower bounds of the interval. The definite integral has a definite value, as it is a single number obtained by evaluating the antiderivative at the limits of integration.

In summary, the indefinite integral is a family of functions while the definite integral is a single number. The indefinite integral is used to solve differential equations while the definite integral is used to calculate the area under a curve. Understanding the difference between these two concepts is crucial for success in calculus.

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Answer:

4739 CDs

Step-by-step explanation:

Given the function that models the rate at which the disc is sold expressed as;

R(t)=20,000e^−0.12t

t is the number of weeks since the CD was first released

We are to look for the number of CDs that are expected to be sold during the first 12 weeks after the release. To do this, you will simply substitute t = 12 into the modeled function and get R(12) as shown;

R(t)=20,000e^−0.12t

R(12)=20,000e^−0.12(12)

R(12)=20,000e^−1.44

R(12)=20,000(0.2369)

R(12) = 4738.56

Hence the total number of CDs expected to be sold to nearest thousand is 4739 CDs

Answer:

127,000

Step-by-step explanation:

you take the integral from 0 to 12 of R(t)

Rate of the jet in still Air is 716 miles per hour and

wind speed is 80 miles/hour.

The velocity of an item in relation to another observer is known as its relative velocity. It is the pace at which one item's relative location changes in relation to another object over time. When two bodies are travelling in opposing directions, their relative velocity is at its highest. They are approaching one another.

Let ‘X’ be speed of jet and

'Y’ be speed of Wind

Relative velocity when jet travels against wind: X - Y = ( 2544 / 4 ) = 636 miles/hour

Relative velocity when jet travels with wind is: X + Y = ( 3184 / 4 ) = 796 miles/hour

By adding these two equations we will get

2 X = 1432 or X = 716 miles /hour and

or, Y = 796 - 716 = 80 miles/hour

Hence,

Rate of the Jet in still Air is 716 miles per hour and

Wind speed is 80 miles/hour.

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Answer: The awnser is D

Step-by-step explanation: gabriel has 30 dollars and a 2 dollar off coupon. he can add the coupon to his total amount making 32 dollars. the money he spends on groceries is subtracted from that amount and is left with 32-2.5x-2y.

Answer:

answer is 32-2.5x-2y

Step-by-step explanation:

The transformations to the graph of the quadratic function are given as follows:

A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.

The four translation rules for functions are defined as follows:

Additionally, when the function is multiplied by |a| > 1, it is said that the function is vertically stretched by a factor of a.

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STEP - BY - STEP EXPLANATION

What to find?

The height of the flagpole.

Given:

• A point 120m from the foot of a building.

• Angles of elevation of the top and bottom of the flagpole = 49 degrees and 46 degrees respectively.

Let's first make a sketch.

Michael needs to analyze the population data, demographics of the city, and the competition in the area to determine whether or not to open a new store.

Michael is trying to determine where to open two new store locations. He has population data to determine the amount of revenue he will receive for each location.

He is charged a $1000 fee for opening a new store at a certain location. However, he is unsure whether the population of the city would be large enough to warrant opening a new store at that location.

The first step that Michael needs to take is to analyze the population data that he has.

Based on the population data, he needs to make an informed decision about whether or not to open a new store at that location. This would require him to take into consideration the average income of the population as well as the demographics of the city.

Another important factor that Michael needs to take into consideration is the competition in the area. If there are already several stores in the area, then opening a new store might not be a good idea.

This is because the competition would be too high and he would not be able to generate enough revenue to make up for the cost of opening a new store.

However, if there are no stores in the area, then Michael might consider opening a new store. This would require him to invest a significant amount of money, but he could also generate a significant amount of revenue in return.

Additionally, he needs to take into consideration the cost of opening a new store and whether or not he can generate enough revenue to make up for that cost.

Overall, Michael needs to carefully analyze all the data that he has before making an informed decision about where to open new store locations.

In conclusion, Michael needs to analyze the population data, demographics of the city, and the competition in the area to determine whether or not to open a new store. If the population is large enough and there is no competition in the area, then he should consider opening a new store. However, if there is already a significant amount of competition in the area, then he should avoid opening a new store.

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Answer:

-11

Step-by-step explanation:

Simplify

Answer:

c=−11

Step-by-step explanation:

-2(3+c)=16

Divide both sides by -2

-2(3+c)/-2 = 16/-2

Simplify

3+c=-8

Subtract 3 from both sides

3+c-3=-8-3

Simplify

c=-11

The value of a for which the equation has an infinite number of solutions is 5.

The solution to the equation: The result is a distribution of weights to the variables involved, establishing a balance in the calculation.

The equation given is written below:

Both sides of the equation must have the same value for an infinite number of solutions.

12x + 30 = 6(2x + a)

Simplifying the equation:

12x + 30 = 12x + 6a

Canceling 12x both sides. We get,

the value of a = 5

The value of a for which the equation has an infinite number of solutions is 5.

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Answer:

A=h(b+c) solve for c

First, multiply h to b and c

A = hb + hc

Then, transfer hb to the other side and change its sign from positive to negative.

A – hb = hc

To get c, Divide both sides by h

(A – hb)/h = hc/h

(A - hb)/h = c  OR c = (A – hb)/h

Example. Let us assume the following. A = 500 ; h= 10;b= 20; c= ?

c = (A – hb)/h

c = (500 – (10*20))/10

c = (500 – 200)/10

c =  300/10

c = 30

To check; use the original equation given.

A = h(b+c)

A = 10(20+30)

A = 200 + 300

A = 500. same as the figure given in the example.

\(\displaystyle\\Answer:\ b=\frac{A-hc}{h}\)

Step-by-step explanation:

\(\displaystyle\\A=h(b+c)\\A=hb+hc\\A-hc=hb+hc-hc\\A-hc=hb\\Divide\ both\ parts\ of\ the\ equation\ by\ h(h\neq 0):\\\frac{A-hc}{h}=b\\ Hence,\\b=\frac{A-hc}{h}\)

Answer:

A equals 12

B equals 3

C equals 3+2+(-5)

E equals 4 NI

F equals -7+(-12)=19

Step-by-step explanation:

For A, you have to do the parenthesis first. I did 2+(-3) which equals -5. Then, I added the 7 to the five and got 12. The reason that it is not 12 is because the +7 is greater than the -5.

For B, I got -3 because -4 - (-1) equals 3. The reason that it is three is because when you look at the positive negative chart, you can see that negative and negative equal positive. So, the answer would be 3.

For E, I got 4 NI because when I multiplied the 2*2 I got 4 then you add the numerals Ni. I am not 100% on this problem, that is kind of my guess.

Finally for F, I got 19. My equation above explains it. Once again, you have to add the parenthesis first, so, -7+(-12) equals 19. Like I said above. If you look at the negative positive chart, the number would be positive because both numbers are negative.

I forgot C above, so here it is. For C, I got the equation above by putting the numbers together. For instance, in the problem on the side, for C, it says -10=3+2. If you just add 3+2, you are going to get 5. I added negative five to it and there you go, you get negative ten.

The first and second problems are equal because 3 goes into 12 equally.

Answer:

(1,3)

Step-by-step explanation:

Given system of equations is :-

We can solve this by using substitution method by substituting the value of y from equation (1) into equation (2) as ,

2x + 1 = x + 2

Subtract x on both sides,

2x - x + 1 = 2

Simplify,

x = 2 - 1

x = 1

Substitute this value of x into equation (2) as ,

y = 1 + 2

y = 1 + 2

y = 3

Hence the required answer is (1,3) .

and we are done!

In order for B to be equal to (A ∪ B), certain conditions must be satisfied. These conditions involve the relationship between the sets A and B and the properties of set union.

To determine when B is equal to (A ∪ B), we need to consider the properties of set union. The union of two sets, denoted by the symbol "∪," includes all the elements that belong to either set or both sets. In this case, B would be equal to (A ∪ B) if B already contains all the elements of A, meaning B is a superset of A.

In other words, for B to be equal to (A ∪ B), B must already include all the elements of A. If B does not include all the elements of A, then the union (A ∪ B) will contain additional elements beyond B.

Therefore, the condition for B to be equal to (A ∪ B) is that B must be a superset of A.

To summarize, B will be equal to (A ∪ B) if B is a superset of A, meaning B contains all the elements of A. Otherwise, if B does not contain all the elements of A, then (A ∪ B) will have additional elements beyond B.

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Answer:

A

Step-by-step explanation:

9 > 3 + 2x

6 > 2x

3 > x

or

x < 3

and that means 3 is NOT included (otherwise there must be a smaller or equal sign). hence A is the right answer.

The graph of the solution set \(9 > 3 + 2x\)  is represented by the inequality relation x < 3.

The correct answer is Option A.

Given data:

The inequality is represented as 9 > 3 + 2x

The solution set of the inequality 9 > 3 + 2x can be found by isolating x on one side of the inequality:

Subtract 3 from both sides: 9 - 3 > 2x

Simplify: 6 > 2x

Divide both sides by 2: 3 > x

So, the solution set is x < 3.

Graphically, this represents all the values of x that are to the left of (less than) 3 on the number line. It forms an open interval to the left of 3. The graph consists of all real numbers less than 3, not including 3 itself. In interval notation, this can be written as (-∞, 3).

Hence, the inequality is x < 3.

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If every matchbox contains no more than 20% defective matches, then at least 80% of the matches in a box must be intact. The minimum number of intact matches in a 43-match box manufactured by that factory is 34.

To find the minimum number of intact matches in a 43-match box, we need to multiply 43 by 80% (or 0.8):
43 x 0.8 = 34.4
Since we can't have a fraction of a match, we round down to the nearest whole number. Therefore, the minimum number of intact matches in a 43-match box manufactured by that factory is 34.
In a 43-match box manufactured by that factory, no more than 20% of the matches can be defective. To find the minimum number of intact matches, we can calculate the number of defective matches and subtract it from the total.
20% of 43 matches = (20/100) * 43 = 8.6
Since there can't be a fraction of a match, we round up to the nearest whole number, which is 9 defective matches. Now, subtract the number of defective matches from the total:
43 matches - 9 defective matches = 34 intact matches
The minimum number of intact matches in a 43-match box manufactured by that factory is 34.

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The products of the given monomials are

i. 90a⁵b⁵c⁹

ii. x⁴y⁴

iii. 50x¹¹y³z

iv. 80b⁴c⁴

v. 30m⁵n⁷

From the question, we are to determine the products of each of the three monomials

i. 9ab²c⁵, 2a³b²c² and 5abc²

9ab²c⁵ × 2a³b²c² × 5abc²

= 9 × 2 × 5 × a × a³ × a × b² × b² × b × c⁵ × c² × c²

= 90 × a⁵ × b⁵ × c⁹

= 90a⁵b⁵c⁹

ii. xy², x²y and xy

xy² × x²y × xy

= x × x² × x × y² × y × y

= x⁴ × y⁴

= x⁴y⁴

iii. 5x⁵, y²x⁵ and 10xyz

5x⁵ × y²x⁵ × 10xyz

= 5 × 10 × x⁵ × x⁵ × x × y²  × y × z

= 50 × x¹¹ × y³ × z

= 50x¹¹y³z

iv. (-4b²c), (-2bc) and 10c²b

(-4b²c) × (-2bc) × 10c²b

= -4b²c × -2bc × 10c²b

= -4 × b² × c × -2 × b × c × 10 × c² × b

= -4 × -2 × 10 × b² × b × b × c  × c × c²

= 80 × b⁴ × c⁴

= 80b⁴c⁴

v. Multiply (-5m²n²) by (-6m³n⁵)

(-5m²n²) × (-6m³n⁵)

= -5m²n² × -6m³n⁵

= -5 × m² × n² × -6 × m³ × n⁵

= -5 × -6 × m² × m³ × n² × n⁵

= 30 × m⁵ × n⁷

= 30m⁵n⁷

Hence, the products of the given monomials are

i. 90a⁵b⁵c⁹

ii. x⁴y⁴

iii. 50x¹¹y³z

iv. 80b⁴c⁴

v. 30m⁵n⁷

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The value of p(10) we get as  123.

What is Quadratic polynomial ?

A quadratic polynomial is a polynomial of degree 2, which means that it is a polynomial expression in one variable (usually written as x) that contains only terms of the form ax² + bx + c, where a, b, and c are constants. The highest exponent of the variable x in a quadratic polynomial is 2.

We are given a table of values for the quadratic polynomial p. Since p is a quadratic polynomial, it can be written in the form:

p(x) = ax² + bx + c

where a, b, and c are constants.

To find the value of p(10), we need to substitute x = 10 in the above equation and simplify:

p(10) = a(10)² + b(10) + c

p(10) = 100a + 10b + c

We don't know the values of a, b, and c, but we can use the values in the table to set up a system of equations.

From the table, we can see that:

p(0) = c = 3

p(1) = a + b + c = 6

p(2) = 4a + 2b + c = 11

Solving this system of equations, we get:

a = 1

b = 2

c = 3

Therefore, the quadratic polynomial p is:

p(x) = x² + 2x + 3

To find p(10), we substitute x = 10 in the above equation:

p(10) = (10)² + 2(10) + 3

p(10) = 100 + 20 + 3

p(10) = 123

Therefore, the value of p(10) is 123.

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Answer:

Step-by-step explanation:

In an isosceles trapezoid, two pairs of adjacent angles are supplementary. It means that the sum of the adjacent angles is 180°

Looking at the diagram, angle X and angle W are adjacent angles. It means that

X + W = 180

Since X = 105, then

105 + W = 180

W = 180 - 105 = 75°

Since W = b + 25°, then

b + 25° = 75

b = 75 - 25 = 50°

Answer: In an isosceles trapezoid, two pairs of adjacent angles are supplementary. It means that the sum of the adjacent angles is 180°Looking at the diagram, angle X and angle W are adjacent angles. It means that X + W = 180Since X = 105, then105 + W = 180W = 180 - 105 = 75°Since W = b + 25°, thenb + 25° = 75b = 75 - 25 = 50°

Step-by-step explanation:

The answer to the question is B.

Answer:

56

Step-by-step explanation:

112 divided by 100 to make it into a real number and then multiply it by 50

Answer:

Yes, he will.

Step-by-step explanation:

Since he needs 9 pieces of 1/3 ft, yo would start by dividing 9 by 3 (9 x 1/3). This would give you 3, meaning that you would need 3 feet of would in all, and since he is given 3 and 1/3 feet, he has enough.

Hope this helps!

Answer:

22.50

Step-by-step explanation:

Hat = $18

Austin - 6 letters

0.75 x 6 = 4.5

Letters cost $4.50

18 + 4.5 = 22.5

He'll have to pay 22.50 dollars.

Hope this helps!

Answer:

The Answer is -11 cause its just -11

To find pry >78 in a random sample of size n = 77, we would need more information such as the mean and standard deviation of the sample.

Based on the given information, we need to find the probability that a random variable Y is greater than 78 (pr(Y > 78)) in a sample of size           n = 77.

To provide a precise answer, additional details about the distribution of the data (mean and standard deviation) are needed. However, once you have these values, you can use the Z-score formula to calculate the probability.

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