MATHEMATICS COLLEGE

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Add these expressions
(3x+15) + (4x+13)

Answers

Answer 1

Answer:

Answer:7x+28

Step-by-step explanation:

Answer 2

Answer:

Answer:

7x + 28

Step-by-step explanation:

Line up the columns just like with standard addition. Keep the x numbers in the same columns and keep the integers in their columns. It will look like this:

3x + 15

PLUS 4x + 13

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

7x + 28

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Write each combination of vectors as a single vector.
Question 25 of 253 PointsNatalie went to the hardware store to buy a water filter and a deadbolt, andwhile she was in the checkout line, she also threw some caulk and somesuper glue into her shopping cart. Which two products were impulsepurchases?A. The water filter and the super glueB. The caulk and super glueC. The caulk and the deadboltD. The water filter and the deadbolt
Which of the following is a simplified form of the expression -2(x - 9) - x?
DOES ANYONE PLEASE KNOW? ANSWER IF YOU KNOW PLEASE
Which inscribed angles intercept arc RS?

Try to sketch by hand the curve of intersection of the parabolic cylinder y = x2 and the top half of the ellipsoid x2 + 7y2 + 7z2 = 49. Then find parametric equations for this curve.

Answers

Final answer:

To sketch the curve of intersection, we substitute the equation of the parabolic cylinder into the equation of the ellipsoid. We use the discriminant to determine the nature of the curve and find its parametric equations.

Explanation:

To sketch the curve of intersection of the parabolic cylinder and the top half of the ellipsoid, we can substitute the equation of the parabolic cylinder into the equation of the ellipsoid and then solve for the remaining variable. By doing this, we obtain a quadratic equation.

We can then use the discriminant to determine the nature of the solutions, which will help us identify if the curve is a parabola or an ellipse. Based on the discriminant, we can find the parametric equations for the curve and determine its shape.

For example, if the quadratic equation has two distinct real solutions, then the curve is an ellipse, but if it has one repeated real solution, the curve is a parabola.

Learn more about Curve of Intersection here:

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Find the perimeter of the following polygon. Be sure to include the correct unit in your answer.15 m
1
mm
15 m
17 m
km
9 m
12 m

Answers

Answer:

489 km is the perimeter

Step-by-step explanation:

mark me BRAINLIEST

Let P(n) be the statement that a postage of n cents can be formed using just 4-cent and 7-cent stamps. Use strong induction to prove that P(n) is true for all integers greater than or equal to some threshold x.

Answers

Answer:

True for n = 18, 19, 20, 21

Step-by-step explanation:

$P(n) =$ a postage of $n$ cents; where $P(n) = 4x + 7y$ . ( $x$ are the number of 4-cent stamps and $y$ are the number of 7-cent stamps)

For $n=18, P(18)$ is true.

This is a possibility, if $x= 1 \ and \ y=2$

$P(18) = 4(1) + 7(2) = 4 + 14 = 18$

Similarly for $P(19)$ :

$P(19) = 4(3) + 7(0) = 19$

$P(20) = 4(5) + 7(0) = 20\nP(21) = 4(0) + 7(3) = 21$

Jimmy wants to draw a 50° angle. Fill in the missing step to make sure his drawing is completed in the correct order:Step 1: He draws a ray.
Step 2: He lines up his protractor with the baseline on the ray and the origin of the protractor on the vertex.
Step 3: ________
Step 4: He uses the bottom of the protractor to draw a straight line connecting the mark he made with the vertex.
Step 5: He draws arrows on both ends to make them rays.

Anwsers:
1. He lines up his ruler with the ray and the zero on the ruler.

2. He finds 50° on the protractor and draws a mark on the paper.

3. He lines up his protractor with a straight line and draws a mark on the paper.

4. He draws parallel lines.

Answers

Answer:

2. He finds 50° on the protractor and draws a mark on the paper.

Step-by-step explanation:

Construction is a topic that requires a step wise procedure during the process. In the given question, since Jimmy wish to draw an angle of 50°, he should locate the angle on his protractor and draw a mark on the paper. This is with respect to the previous steps observed.

The essence of the protractor is for Jimmy to accurately measure the angle. Thus he has to determine the angle by the use of a protractor before the construction can be complete.

Therefore the required procedure in step 3 is he finds 50° on the protractor and draws a mark on the paper.

Answer He finds 50° on the protractor and draws a mark on the paper.

PLEASE HELP ASSIGNMENT DUE TODAY NEED TO PASS 1)
You have 2 lines. The first goes through points (6, 2) and (4, 6). The second goes through points (5,-1) and (1, 1). These lines are:

A) perpendicular

B) parallel

C) horizontal and vertical

D) none of the above

2) You have 2 lines. The first goes through points (7, 0) and (4, 6). The second goes through points (1, 1) and (5,3). These lines are:

A) perpendicular

B) parallel

C) horizontal and vertical

D) none of the above

Answers

Answer:

1. D

2. A

Step-by-step explanation:

To determine the type of line, find the slope.

Slopes which are the same are parallel
Slopes which are negative reciprocals are perpendicular
Slopes which are undefined (0 in the denominator) are horizontal.
Slopes which are 0 are vertical.

1. Find the difference in y values over the difference in x values. Calculate the slope using the formula:

$(y_2-y_1)/(x_2-x_1) = (6-2)/(4-6)=(4)/(-2)=-2$

$(y_2-y_1)/(x_2-x_1) = (1--1)/(1-5)=(2)/(-4)=(-1)/(2)$

These are reciprocals of each but not the negative or opposite signs of each other. This is none.

2. Find the difference in y values over the difference in x values. Calculate the slope using the formula:

$(y_2-y_1)/(x_2-x_1) = (6-0)/(4-7)=(6)/(-3)=-2$

$(y_2-y_1)/(x_2-x_1) = (3-1)/(5-1)=(2)/(4)=(1)/(2)$

These are reciprocals of each and the negative or opposite signs of each other. These are perpendicular.

uppose a small cannonball weighing 16 pounds is shot vertically upward, with an initial velocity v0 = 290 ft/s. The answer to the question "How high does the cannonball go?" depends on whether we take air resistance into account. If air resistance is ignored and the positive direction is upward, then a model for the state of the cannonball is given by d2s/dt2 = −g (equation (12) of Section 1.3). Since ds/dt = v(t) the last differential equation is the same as dv/dt = −g, where we take g = 32 ft/s2. If air resistance is incorporated into the model, it stands to reason that the maximum height attained by the cannonball must be less than if air resistance is ignored. (a) Assume air resistance is proportional to instantaneous velocity. If the positive direction is upward, a model for the state of the cannonball is given by m dv dt = −mg − kv, where m is the mass of the cannonball and k > 0 is a constant of proportionality. Suppose k = 0.0025 and find the velocity v(t) of the cannonball at time t.