If U is the set of all natural numbers less than 10, A is its subset containing all natural numbers less than 6 and B⊂U consists of all natural numbers greater than 4 (and of course smaller than 10), draw Venn diagram showing these sets. List elements of sets A, B, their union, and their intersection.

Answer:

1. [tex]16\sqrt{3}[/tex]

Step-by-step explanation:

[tex]4\sqrt{2}*2\sqrt{6} =4*2\sqrt{2*6} =8\sqrt{12} = 8*2\sqrt{3} = 16\sqrt{3}.[/tex]

The multiplication or product of the two numbers 4√2 and 2√6 is 16√3 option (1) is correct.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have two numbers:

4√2 and 2√6

From the arithmetic operation we can multiply two numbers:

= 4√2x2√6

Here sign x represents the multiplication.

As we know, the number expression can be defined as the combination of constants and variables with mathematical operators.

√2x√6 = √(2x6) = √12

√12 = √(2x2x3)

√12 = 2√3

= 4√2x2√6

= 4x2√(2x6)

= 8√12

= 8(2√3)

= 16√3

Thus, the multiplication or product of the two numbers 4√2 and 2√6 is 16√3 option (1) is correct.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ2

Answer: 3(1/2 + 2 1/2) = 3(1/2+5/2) = 3(6/2) = 3*3 = 9

Step-by-step explanation:

Step-by-step explanation:

[tex]3(a+b)[/tex]

Since we know that a equals -1/2 and b equals 2 1/2, then we can plug in the values into the equation.

[tex]3(-\frac{1}{2} +2 \frac{1}{2} )[/tex]

First, solve everything in the parentheses.

[tex]3(2)[/tex]

Now, multiply 3 by 2.

[tex]3*2=6[/tex]

So, your answer will be 6.

Answer:

f(x) has 3 real roots

Step-by-step explanation:

According to the Fundamental theorem of Algebra.

A polynomial of degree n has n roots, which can be real or complex or both.

Thus a polynomial of degree 3 has 3 roots.

Two real roots are given

Complex roots occur in conjugate pairs, thus there cannot be an odd number of complex roots.

Thus f(x) has three real roots.

Answer:

B

Step-by-step explanation:

Edge

Answer: x = 2

Step-by-step explanation:

First we need to know what divided by 2 = 2

4/2 = 2

X + 2 = 4

X = 2

Answer:

Multiply by 4

Step-by-step explanation:

The next number would be -320

Answer: 240

Step-by-step explanation:

if you multiply 78 and the 3 it gets you to 240, so the answer is "A"

Answer:

60 minute

Step-by-step explanation:

Answer:

No options given. But there are two methods of adding polynomials; The horizontal method, and the vertical method.

Step-by-step explanation:

The options are not stated here. However, there are two methods of adding polynomials; The horizontal method, and the vertical method.

Example: Suppose we want to add the polynomials (3x³ + 5x² + 56) + (16x² + 3x) + (4x³ + 4)

Horizontal method

(3x³ + 5x² + 56) + (16x² + 3x) + (4x³ + 4)

First collect the like terms

3x³ + 4x³ + 5x² + 16x² + 3x + 56 + 4

= 7x³ + 21x² + 3x + 60

Vertical method

3x³ + 5x² +...........56

+ ......16x² + 3x

4x³ +...................... 4

...................................................

7x³ + 21x² + 3x + 60

These two methods both yield the same results.

Answer:

Kaitlin paid $17.55

Step-by-step explanation:

1.00 - 0.35 = 0.65

$27 (0.65) = $17.55

Answer:

That is sometimes true because there might be more green than red

Step-by-step explanation:

Answer:

$0.30

Step-by-step explanation:

3.68*.0825= .3036

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer: decrease

Step-by-step explanation:Accounts payable are what the business owes. By paying off accounts payable, the liabilities are decreasing and the assets are also decreasing (because they use assets/cash to pay off the liabilities, so they have less now).

Answer:

The payment of accounts payable would decrease both assets and liabilities.

Accounts payable (AP) refers to a record inside the overall record that addresses an organization's commitment to take care of a momentary obligation to its leasers or providers. One more typical use of it alludes to the business office or division that is answerable for making installments owed by the organization to providers and different leasers.

In the event that AP increases over an earlier period, that implies the organization is purchasing more services and products on credit, instead of paying cash. In case an organization's AP decreases, it implies the organization is paying on its earlier period obligations at a quicker rate than it is buying new things using credit. And, the thing people or business uses to pay accounts payable in cash, which is an asset. So, basically, when you pay accounts payable, both your assets and liabilities will decrease.

Explanation:

The payment of accounts payable would decrease both assets and liabilities.

Accounts payable (AP) refers to a record inside the overall record that addresses an organization's commitment to take care of a momentary obligation to its leasers or providers. One more typical use of it alludes to the business office or division that is answerable for making installments owed by the organization to providers and different leasers.

In the event that AP increases over an earlier period, that implies the organization is purchasing more services and products on credit, instead of paying cash. In case an organization's AP decreases, it implies the organization is paying on its earlier period obligations at a quicker rate than it is buying new things using credit. And, the thing people or business uses to pay accounts payable in cash, which is an asset. So, basically, when you pay accounts payable, both your assets and liabilities will decrease.

Step-by-step explanation:

Answer:

Step-by-step explanation:

True

Answer:

You can use the Law of Sines for this problem, but what makes it tough at first glance is that they put a step in before you can use it directly. That first step is to get m∠C. When solving a triangle, always get the third angle if you know the other two so that you can use the Law of Sines (or Law of Cosines) more directly.

The sum of the angles of any triangles is 180°. We know the measures of the two other angles. So we subtract them from 180° to find that third angle.

180° - 76° - 66° = 38°

Now we can use the proportion from the picture. Angle B measures 76°, side b is our unknown, Angle C measures 38°, and side c measures 3 units.

sin 76° sin 38°

----------- = -----------

b 3

Cross multiply to find b (the side). We carry out five places in these calculations to get more accuracy.

3 * sin 76° = b * sin 38°

b = 3 * sin 76° 3 * 0.56611 1.69832

--------------- = --------------- = ---------------- = 5.73044

sin 38° 0.29636 0.29636

To the nearest tenth, b - 5.7 units.

Step-by-step explanation:

google hope this helps

Answer:

7/18 yard long

Step-by-step explanation:

The wire she had left was 7/18 of a yard long. (7 as the numerator and 18 as the denominator)

Answer:

Scatterplots

Step-by-step explanation:

If there is no apparent relationship between the two variables, then there is no correlation. Scatterplots can be interpreted by looking at the direction of the line of best fit and how far the data points lie away from the line of best fit

Look at the attached picture

Hope it will help you....

good luck on your assignment

Answer:

301

Step-by-step explanation:

Height² = 10² - 6²

Height² = 64

Height = 8

Volume = ⅓pi × r² × h

= ⅓ × 3.14 × 6² × 8

= 301.44 ft³

Answer:

V = 301 ft^3

Step-by-step explanation:

The volume of a cone is given by

V =1/3 pi r^2 h

We know pi = 3.14 r =6 and

We need to determine h

We can find h from the Pythagorean theorem where 6 is a leg and 10 is the hypotenuse

h^2 +6^2 = 10^2

h^2 +36 = 100

h^2 = 64

Taking the square root of each side

h = 8

V =1/3 pi r^2 h

V = 1/3 (3.14) (6)^2 * 8

V = 301.44 ft^3

Rounding to the nearest cubic foot

hope this helps =)

The equations that represent the relationship between the measure of the angles in the figure are:

D. a+b=180

E. 180-a=b

The measure of the angle of a straight line is 180 degrees.

In the given figure, KL is a straight line segment.

This means that the measurement of the angles of KL is 180 degrees.

This implies that,

[tex]a^{\circ}+b^{\circ}=180^{\circ}\\[/tex]

Or

[tex]180^{\circ}-a^{\circ}=b^{\circ}[/tex]

So, the equations will be:

D. a+b=180

E. 180-a=b

Learn more about the equation here- https://brainly.com/question/22277991

#SPJ2

Answer:

Correct option: fourth one -> y = 6(1/3)^x

Step-by-step explanation:

A decay curve is produced by an exponencial function with a rate lesser than 1 and greater than 0. This way, we have an exponencial function where the values of y decrease when the values of x increase.

The first equation is a linear equation.

The second and third equations are exponencial equations, but with a rate bigger than 1

The fourth equation is an exponencial equation with a rate lesser than 1 and greater than 0, so this equation will produce a decay curve.

Answer:

265.68

Step-by-step explanation:

ok so the area for the rectangle is 228

the area for the circle is 37.68

you add them together to get your answer

hope this helps

Answer:

a-135 hot dogs and 245 sodas were sold.

Step-by-step explanation:

Our equations are:

1.25h + 0.75s = 352.50

h + s = 380

Let's use substitution to solve for this system. In the second equation, let's write h in terms of s:

h + s = 380

h = 380 - s

Now, let's plug in 380 - s for h in the first equation:

1.25h + 0.75s = 352.50

1.25(380 - s) + 0.75s = 352.50

We can now solve for s fairly easily:

1.25(380 - s) + 0.75s = 352.50

475 - 1.25s + 0.75s = 352.50

0.5s = 122.5

s = 245 sodas

We can already see which answer choice will match: A, and that is our answer.

Answer:

a-135 hot dogs and 245 sodas were sold.

Step-by-step explanation:

1.25h + 0.75s = 352.50

h + s = 380

h = 380 - s

1.25(380- s) + 0.75s= 352.50

475 - 1.25s + 0.75s = 352.50

122.5 = 0.5s

s = 245

h = 380 - 245

h = 135

Answer: The correct answer is:

5,600,000,000,000 (read "5 trillion, 6 hundred million").

Explanation:

5.6e12 is another way of writing scientific notation.  This is the same as

5.6 x 10^12

The power of 10 tells us how many places to move the decimal.  This means we move it 12 places.  Since the exponent is positive, we are going to make the number larger; this means we move the decimal to the right.  Moving it 12 places gives us

5,600,000,000,000

Answer:

Ch3ch2ch2ch2ch3 is pentane which is a 5 carbon alkane.

1. Is a set if 5 horizontal lines and four spaces that each represent a diff musical pitch.

2. Temp is the speed at which a passage of music is or should be played.

3. A note have the time value of two minims or four crotchets, represented by a ring with no stem.

4. C, D, E, F, G, A, and B

5. Bass clefs

6. Is a system where very note of a scale is given its own unique syllabe, which is used to sing that note every time it appears. The words that are making Solfege are: Do, Re, Mi, Fa, Sol, La, Ti, and Do.

7. The time signature is a national convention use in Western musical notation to specify how many beats (pulses) are contained in each measure, and which note value is equivalent to a beat.

Answer:

h(r) = 6(r+1)+10

Step-by-step explanation:

Just solve for q. Because that's the output. h(r) = q

Answer: 6r+16

Step-by-step explanation: All you need to do is to simplify the equation q-10=6(r+1) It becomes q-10=6r+6. You then add 10 on both sides, resulting q=6r+16.

Answer:

[tex]804.25unit^2[/tex]

Step-by-step explanation:

[tex]A=\pi r^2\\=\pi 16^2\\=804.25unit^2[/tex]

So the right answer is 804.57 units^2.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

337.5

Step-by-step explanation:

450 - 25% × 450 =

(1 - 25%) × 450 =

(100% - 25%) × 450 =

75% × 450 =

75 ÷ 100 × 450 =

75 × 450 ÷ 100 =

33,750 ÷ 100 =

so the correct answer would be, 337.5