Find the first five terms of the sequence an = 4n-6

The total surface area of the solid shape made from the cube and cylinder is approximately 583.31 cm².

The side length of the cube is 8.7 cm, so the surface area of one face is A = 8.7²

= 75.69 cm²

Since there are six faces, the total surface area of the cube is 6 * 75.69 = 454.14 cm²

Since there are two circular bases, the total surface area of the bases is 2 * 22.91 = 45.82 cm².

In this case, the radius of the cylinder is 2.7 cm and the height is 4.9 cm, so the curved surface area is A_curved = 2 * π * 2.7 * 4.9 ≈ 83.35 cm².

Total surface area = surface area of the cube + surface area of the cylinder

Total surface area = 454.14 cm² + 45.82 cm² + 83.35 cm²

Total surface area ≈ 583.31 cm²

Learn more about area on

https://brainly.com/question/25292087

#SPJ1

The graph of the function f(x) = x² + 2x + 3 is a parabola with vertex (-1, 2).

You can use the vertical line test on a graph to determine whether a relation is a function. If it is impossible to draw a vertical line that intersects the graph more than once, then each x-value is paired with exactly one y-value. So, the relation is a function.

Given, the function is f(x) = x² + 2x + 3

We have to find the graph of the function.

Let y = x² + 2x + 3

Put x = -3

y = (-3)² + 2(-3) + 3

= 9 - 6 + 3

= 9 - 3

y = 6

Put x = -2

y = (-2)² + 2(-2) + 3

= 4 - 4 + 3

y = 3

Put x = -1

y = (-1)² + 2(-1) + 3

= 1 - 2 + 3

= 4 - 2

y = 2

Put x = 0

y = (0)² + 2(0) + 3

= 0 + 0 + 3

y = 3

Put x = 1

y = (1)² + 2(1) + 3

= 1 + 2 + 3

= 3 + 3

y = 6

We can plot the graph using the points.

The graph of the function f(x) = x² + 2x + 3 is a parabola with vertex (-1, 2).

Learn more about graph of quadratic equation at :

https://brainly.com/question/16191913

#SPJ4

What is 7 1/5 written as a percent?

720%

We know that 1/5 is the same as dividing 1 by 5.

or 1÷5.

Therefore, \(7\frac{1}{5}\) \(= 7+ (1/5)\)

Then using  Long Division for 1 divided by 5  we have

7 + 0.2 = 7.2

Converting our number to a percentage:

7.2(100)

= 720%

Therefore, 7 1/5 as a percent is 720%

If you need more help, don't fret to message me!

I'll be glad to assist.

Subject: Mathematics

Concept: Conversions

Grade: Middle/High

2 tons + 10 pounds = 4,010 pounds

4 tons + 10 pounds = 8,010 pounds

Step-by-step explanation:

2,000 POUNDS EQUALS 1 TON.

a.) 2 tons = 2,000 X 2 = 4,000 pounds

4,000 pounds + 10 pounds = 4,010 pounds

2 tons + 10 pounds = 4,010 pounds

b.) 4 tons = 2,000 X 4 = 8,000 pounds

8,000 pounds + 10 pounds = 8,010 pounds

4 tons + 10 pounds = 8,010

The bell-shaped curve, also known as a Gaussian curve or a symmetrical distribution , showcases a central peak with data symmetrically distributed around it .

Revered for its iconic shape, the bell curve enchants the discerning observer with its symmetrical countenance, reminiscent of a resonant chime.

This majestic distribution unveils its true essence through its discernible apex, a testament to central tendency , where the mean, median, and mode converge, bestowing upon it an air of distinction .

The rough sketch of the curve having the bell shape is shown attached to the question.

Find out more on bell curves at https://brainly.com/question/3441134

#SPJ1

Answer:

4 L 600 mL

Step-by-step explanation:

1 L = 1000 mL

so 27 L 600 mL = 27000 + 600 = 27600 mL

27600/6 = 4600 mL

4 L 600 mL.

Step-by-step explanation:

a polynomial of degree n (that means the highest exponent of x is n) must have n zeroes.

in our case that means 3 zeroes.

the best way to find them is to have the factorial form of the polynomial : to see how several terms are multiplied to give us the polynomial.

the first f(x) gives us exactly that (the second f(x) is just the form with all the multiplications done) :

f(x) = x(x + 6)(x - 2)

when is the product of factors 0 ?

only when at least one factor is 0.

so, let's see,

when is x 0 ? well, x = 0.

when is (x + 6) = 0 ? x = -6.

when is (x - 2) = 0 ? x = 2.

so, the 3 zeroes are

x = -6

x = 0

x = 2

Thus, during the July 4th party, Tony's Diner sold 300 hamburgers and 200 small pizzas.

An equation in mathematics is a made regarding the equivalence of two expressions. It is divided into two sections by an equal sign: the left (LHS) and the right hand side (RHS).

RHS LHS

The LHS and RHS are equal to each other and can represent any mathematical expression, including an integer, a variable, or a blend of both. An illustration of an equation with only one variable is "3x + 8 = 10". The expression "3x Plus 8" is on the left side of the equation, and "10" is on the right side. The two values in the equation are said to be equal to one another.

given

Assume Tony's Diner sells 'p' small pizzas and 'h' sandwiches per day.

The entire number of small pizzas and hamburgers sold, according to the problem, is 500, so we have:

p + h = 500

Additionally, since the combined sales of the sandwiches and pizza came to $1,300, we can create the following equation:

2p + 3h = 1300

To determine the values of "p" and "h," we must now concurrently solve these two equations.

To find "p," we can change the first equation as follows:

p = 500 - h

This is what we get when we enter it into the second equation:

2(500 - h) + 3h = 1300

After simplifying and finding "h," we obtain:

1000 - 2h + 3h = 1300

h = 300

So 300 hamburgers were served at Tony's Diner.

We can enter the value of "h" into either of the two initial equations to determine how many small pizzas were sold. Let's employ the initial equation:

p + h = 500

p + 300 = 500

p = 200

200 mini pizzas were thus served at Tony's Diner.

By confirming that the combined sales of the pizza and hamburgers amount $1,300, we can validate our response:

2p + 3h = 2(200) + 3(300) = 400 + 900 = $1,300

Thus, during the July 4th party, Tony's Diner sold 300 hamburgers and 200 small pizzas.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Answer:161500

Step-by-step explanation:that's your  answer

Answer:

3 1/4 ÷ 2 2/3 = 3 1/8

Answer:

The answer is 3 1/8. Hope this helps :)

Step-by-step explanation:

Step-by-step explanation:

You have found a used car and your parents have agreed to pay the first $750 for you. You have a summer job mowing yards for $25 per yard. Write and inequality that will calculate the number of yards (y) you will have to mow to get to at least the cost (C) of the car.

25y + 750 = C

If the car cost a total of $4500 how many yards will you have to mow?

25y + 750 = 4,500

subtract 750 from both sides:

25y + 750 - 750 = 4,500 - 750

25y = 3,750

divide both sides by 25:

25y/25 = 3,750/25

y = 150

Must mow 150 yards.

check:

25(150) + 750 = 4,500

3,750 + 750 = 4,500

4,500 = 4,500

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

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

18x = 16x + 4

2x = 4

x = 2

At a used movie sale:

Cartoons: 52

Not cartoons: 67

Total: 52 + 67 = 119

Of the cartoons (52):

Musicals: 14

Not musical: 52 - 14 = 38

Of the non-cartoons (67):

Musicals: 24

Not musical: 67 - 24 = 43

By selecting at random, the probability that the movie selected is not a musical cartoon is:

P(not musical cartoon) = (# of no musical cartoons) / (total # of movies)

But:

# of no musical cartoons = Total - (# of musical cartoons) = 119 - 14 = 105

Then:

P(not musical cartoon) = (105) / (119) = 0.88235...

To three decimal places, the answer is:

P(not musical cartoon) = 0.882

1)The ratio of Kelly’s blue bracelets to green bracelets is 5:4.

2)The snow days to days ratio is 20:1

3)There are 42 girls in the competition. The ratio of girls to boys who participated in the quiz bowl was 7 : 5. Solving the two ratios, Therefore, There are 30 boys in the competition.

To learn more about ratio refer to:

https://brainly.com/question/12024093

#SPJ1

1)The ratio of Kelly’s blue bracelets to green bracelets is 5:4.

2)The snow days to days ratio is 20:1

3)There are 42 girls in the competition. The ratio of girls to boys who participated in the quiz bowl was 7 : 5. Solving the two ratios, Therefore, There are 30 boys in the competition.

Define ratio?

To learn more about ratio refers to:

https://brainly.com/question/12024093

#SPJ1

Answer:

I think it would be 6800 square in because you just have to multiply 16 by 425.... Sorry if it is wrong

Step-by-step explanation:

Answer:

Step-by-step explanation:

Rational numbers are numbers that are terminating decimals or nonterminating, repeating decimals.

Like 3, -4, 7.166..

The cross section can be of these shapes square and triangle are; A, D

A cross-segment is a plane segment that is a segment of a three-dimensional item that is parallel to one among its planes of symmetry or perpendicular to considered one of its traces of symmetry.

An instance of a go-segment would be a circle. A cross-section is seen whilst a 3-dimensional picture is reduce through a plane.

Then the case of the cone, a circular go-segment emerges while the cone is cut parallel with its base

The go-sectional region is the location of a 3-dimensional shape which is acquired whilst a three-dimensional object - inclusive of a cylinder - is sliced perpendicular to some designated axis at a point.

Learn more about cross section here;

brainly.com/question/2459472

#SPJ1

False, In the exponential decay function ƒ(x) = a • bx, the b is between 0 and 1.

What is exponential decay function?

In mathematics, the term "exponential decay" refers to the process of a constant percentage rate decline in a value over time.

                     It can be written as y=a(1-b)x, where y represents the final amount, a represents the initial amount, b represents the decay factor, and x is the amount of time that has passed.

How do you calculate an exponential function?

The equation f(x) = ax, in which the input variable x appears as an exponent, describes an exponential function. Both the exponential function and the value of x are dependent on the exponential curve.

                               The exponential function, which has the form, is a significant mathematical function. f(x) = ax.

Learn more about  exponential decay function

brainly.com/question/14355665

#SPJ1

Answer: 1. no

2. yes

3. no

4. yes

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

2x (3) = 72 so 6x = 72 and so x = 12

Answer:12

Step-by-step explanation:

You divide 72 by 3 then that answer by 2 then you get 12. Then if you do 12•2 =24 Then 24 •3 it equals 72

Answer:

John

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

The interquartile range is obtained using the relation :

Third quartile (Q3). - First quartile (Q1)

From. The boxplot :

Q3 = 96

Q1 = 12

Interquartile range (IQR) = Q3 - Q1 = 96 - 12 = 84

Answer:

c = 7

Step-by-step explanation:

6c = 7c - 7

Subtract 6c to both sides

0 = c - 7

Add 7 to both sides

c = 7

Answer:

c = 7

Step-by-step explanation:

Step 1: Subtract 7c from both sides.

6c − 7c = 7c − 7 − 7c

−c = −7

Step 2: Divide both sides by -1.

-c/-1 = -7/-1

c = 7

Rounding to the nearest ten:

28 → 30

188 → 190

250 → 250

101 → 100

122 → 120

11 months

850-300=550

550/50=11

Answer:

11

Step-by-step explanation:

Haiii!! <3

if he has $300 and you add $50 for each month and multiply it by 11 he would have $850 for the trip

\(g(x) = \sqrt{x - 4}\)

\(h(x) = 2x - 8\)

g x h = \(\sqrt{x-4}.(2x-8)\)

Looking at the equation we know that there's no way to have a negative root, so we need x - 4 to be greater than or equal to 0

\( x - 4 \geq 0\)

\(x \geq 4\)

Answer:

It's 6

Step-by-step explanation:

Solution

For this case we can take square root in both sides and we have:

And solving for x we got:

then the solutions for this case are:

B and E

Angle WZY is 50 degrees, angle WZX is also 50 degrees, and angle XZW is 160 degrees.

What is the inscribed angle theorem?

The inscribed angle theorem, also known as the central angle theorem, states that an angle formed by two chords in a circle is half the measure of the arc they intersect, or subtend, inside the circle.

To find all other angles in the circle with quadrilateral WXYZ inscribed in it and WY going through the center Q:

Since WY goes through the center, angle WYZ and angle WXY are both right angles (90 degrees)

By the inscribed angle theorem, angle WZY is equal to half the measure of the arc WX.

Since angle XYZ is given as 50 degrees, the measure of the arc WX is 2 times 50 degrees, which is 100 degrees.

Therefore, angle WZY is 50 degrees.

By the same logic, angle WZX is also 50 degrees.

Since angles WYZ and WXY are right angles, angles XZY and WZX are also right angles.

Finally, we can find angle WZY + angle XYZ + angle XZW + angle WZX = 360 degrees (sum of angles in a quadrilateral), and we can solve for angle XZW which is 160 degrees.

To know more about the inscribed angle theorem visit:

brainly.com/question/16120801

#SPJ1