Let A = {x | x < 5} and B = {x | x ≤ 7}. Find A B.

Answer:

The correct option is option A

Step-by-step explanation:

We have the following expression:

sqrt(18x^3) - sqrt(9x^3) + 3sqrt(x^3) - sqrt(2x^3)

We know that sqrt(a*b) = sqrt(a)sqrt(b)

Applying this, we have:

sqrt(18)sqrt(x^3) - 3sqrt(x^3) + 3sqrt(x^3) - sqrt(2)sqrt(x^3)

sqrt(x^3)[ sqrt(18) - sqrt(2)]

sqrt(x^3)[ 3sqrt(2)- sqrt(2)]

sqrt(x^3)[2sqrt(2)]

Then we now that:

sqrt(x^3)[2sqrt(2)] = 2x*sqrt(2x)

The correct option is option A

D. Infinite intersection points

Divide both sides of the second equation by 2 to find that it is equal to y = 4 - x, which is the same as the first equation.

Since they are the same equation, they are always touching each other since they are the exact same line, which means they are always intersecting, and there are infinite intersection points.

Answer: I believe it is 33 seats

Step-by-step explanation:

Answer:

516

Step-by-step explanation:

Answer:

Last option

[tex]f(t)=sin(\pi(t -3)) + 4[/tex]

Step-by-step explanation:

The general sine function has the following form  

[tex]y = Asin(bt-\phi) + k[/tex]

Where A is the amplitude: half the vertical distance between the highest peak and the lowest peak of the wave.  

[tex]\frac{2\pi}{b}[/tex] is the period: time it takes the wave to complete a cycle.

k is the vertical displacement.

[tex]\phi[/tex] phase shift

We know that:

amplitude: 1; period: 2; phase shift: 3; vertical shift: 4

Thus:

[tex]A =1[/tex]

[tex]\frac{2\pi}{b}=2[/tex]

[tex]b=\pi[/tex]

[tex]\phi=3[/tex]

[tex]k=4[/tex]

Then the function is:

[tex]f(t)=sin(\pi(t -3)) + 4[/tex]

The answer is last option

Answer:

D

Step-by-step explanation:

The given function builds on the parent graphy = x^2.

The answer is D. y=x^2

Answer:

There is no real number root

Step-by-step explanation:

There is no real number root because there is a negative number inside the root.

No real number root

Check the picture below.

Answer: 414.48

Step-by-step explanation:

r: the radius of the base

h: height

The volume of a cone is given by:

V = π ∙ r2 ∙ h / 3,

where π ∙ r2 is the base area of the cone.

π defines the ratio of any circle's circumference to its diameter and is approximately equal to 3.141593, however the value 3.14 is often used.

Answer:

V = 414.7 m3

Step-by-step explanation:

Thats your answer :))

Answer:

Part 1) Helen's age is 32 years old and Jane's age is 24 years old

Part 2) 13 twenty-dollar bills

Step-by-step explanation:

Part 1) Helen is 8 years older than Jane. Twenty years ago Helen was three times as old as Jane. How old is each now and what is the equation?

Let

x----> Helen's age

y---> Jane's age

we know that

x=y+8 ----> equation A

(x-20)=3(y-20) -----> equation B

substitute equation A in equation B and solve for y

(y+8-20)=3(y-20)

y-12=3y-60

3y-y=60-12

2y=48

y=24 years

Find the value of x

x=y+8

x=24+8=32 years

Part 2)

Let

x-----> the number of five-dollar bills

y----> the number of twenty-dollar bills

we know that

5x+20y=305 -----> equation A

y=x+4 ------> x=y-4 ------> equation B

substitute equation B in equation A and solve for y

5(y-4)+20y=305

5y-20+20y=305

25y=325

y=13 twenty-dollar bills

Find the value of x

x=y-4

x=13-4=9  five-dollar bills

1.Observation study

2.Survey

3.Experiment

4.Survey

Hope thiz help:)

In choosing between a survey, experiment, or observational study, consider the requirements of your study and the nature of the data you hope to collect. Surveys are good for widespread data, experiments allow control of variables, and observational studies are good for observing natural behavior.

The best way to gather information in research scenarios depends on the nature of the scenarios in question. However, here are brief descriptions for each method:

Depending on the scenario, choose the method that fits best with the data needed and the practical considerations of conducting the study.

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Answer:

a=3.915 and b=1.106

Step-by-step explanation:

This is the answer on edju

Answer:

B

Step-by-step explanation:

This is easier to follow if you write it out the long way.

g(x) = (x + 3)/x

g(f(x)) = (f(x) + 3)/f(x)

g(x^2 - 7) = (x^2 + 7 + 3)/(x^2 + 7)

g(x^2 - 7) = (x^2 +10 ) / (x^2 + 7)

g(-5) = ( (-5)^2 + 10) / ( (-5)^2 + 7)

g(-5) = ( 25 + 10) / (25 + 7)

g(-5) = 35/32

Answer:

Step-by-step explanation:

Be the sides x[tex]x, x+6[/tex] you know [tex]x(x+6) = 112[/tex] or [tex]x^2 +6x -112 = 0[/tex][tex]x= -3 \pm \sqrt{9+112} = -3\pm 11[/tex] the solution is [tex]x=8, x=-14[/tex] The negative answer is to be discarded, your rectangle has sides 8 and [tex]8+6=14[/tex] miles

The length of the rectangle is 14 miles and the width of the rectangle is 8 miles.

For a rectangle with length and width L and W units, we get:

Area of the rectangle = (L × W) unit^2

Perimeter of the rectangle = 2(L + W) units

Let the width of the rectangle be represented by W, while the length is represented by L.

Given the width is 6 miles less than its length, therefore, the width can be written as,

W = (L - 6) miles

Now given the area of the rectangle is 112 sq. miles, therefore, the area of the rectangle can be written as,

Area of the rectangle = Length × Width

112 = L × W

112 = L × (L-6)

112 = L²-6L

L = 14, -8

Since the length, L can not be negative, the value of L is 14 miles, therefore, the width will be 8 miles.

Hence, the length of the rectangle is 14 miles and the width of the rectangle is 8 miles.

Learn more about Area of rectangle:

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Answer:

From the information we have, we can prove that ΔBDA is similar to ΔCDB:

∠BDA≅∠CDB, ∠BAD≅∠CBD

=> ΔBDA ~ ΔCDB

=> BD/CD = AD/BD

=> 8/x = 15/8

=> x = (8 · 8)/15 ≈ 4.267

And we also have:

AD/BD = AB/BC

=> 15/8 = 17/y

=> y = (17 · 8)/15 ≈ 9.067

*I could be wrong though

Answer:

x = 4.267 and y = 9.067

Step-by-step explanation:

The triangle on the left and the triangle on the bottom are similar triangles.

Therefore, the following equation of ratios is true:

   y         8

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

  17        15

resulting in 15y = 8(17).   Then 8(17)/15 = 9.067.

Also:

 x       9.067

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

 8          17

resulting in 17x = 8(9.067) = 72.533

Then x = 72.533/17 / 17 = 4.267

In summary, x = 4.267 and y = 9.067.

Answer:

11.9 mm

Step-by-step explanation:

We can find d by applying the cosine rules.

d²  = 21² + 27² - 2(21)(27) cos (25)

d²  = 441 + 729 - 1027.75

d²  = 142.25

d = √142.25

d = 11.9 mm (nearest tenth)

A circle, square and a line has a two fold symmetry.

A figure is said to be rotationally symmetric if when it is rotated along its axis remains the same. F

Given is to find the quotient when 6 is divided by 444.

If an object appears identical after a rotation of 180 degrees, that is twice in a 360 degrees rotation, then it is said to have a 2-fold rotation axis. A circle, square and a line has a two fold symmetry.

Therefore, a circle, square and a line has a two fold symmetry.

To solve more questions on rotational symmetry, visit the link-

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ANSWER

See attachment.

EXPLANATION

The cosine function is symmetric with respect to the y-axis.

If the cosine function has an amplitude of 2 then, its range is

-2≤y≤2

If the period is 2 , then its must complete a full cycle on the interval, [-2,0],[0,2], [2,4], etc.

The graph that has all these features is shown in the attachment.

the answer is B. hope this helps.

Answer:

the answer is B)

Step-by-step explanation:

Answer:

  Stock A and Stock B

Step-by-step explanation:

After 1 year, the value of Stock A is 58/50 = 1.16 times what it was, an increase of 16%.

After 1 year, the value of Stock B is 29/25 = 1.16 times what it was, an increase of 16%.

The bond has coupon value of $298.90 each year, about 5.02% of the amount invested. (However, the value of the bond at the end of 4 years is only $3500, so represents a net loss of about $1254.40 over that time period. We're not quite sure why Norvin purchased this bond at that price.)

Stock A and Stock B have the highest rate of return.

Answer:

360

Step-by-step explanation:

Jennifer earned a total of $360 by making 30 plaques in one week.

The subject of this question is Mathematics. Your question is how much Jennifer earned for making 30 plaques in one week if she's paid $12 each. To find out, you simply multiply the number of plaques (30) by how much she earns for each one ($12). So, 30 plaques * $12/plaque = $360. Therefore, Jennifer's gross income for the week is $360.

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Answer:

The answer is 21.4.

Step-by-step explanation: Thank me later :)

Answer:

21.4

Step-by-step explanation:

Answer:

158.9 mph E 12.7° S

Step-by-step explanation:

Since the components of the motion are perpendicular to each other then magnitude of the resultant can be found using the Pythagorean theorem:

|v| = √(155^2 +35^2) ≈ 158.9 . . . . mph

The angle can be found using the tangent relationship:

tan = opposite/adjacent

The angle south of east will be

angle = arctan(35/155) ≈ 12.7°

The velocity vector can be described by ...

158.9 mph E 12.7° S

_____

As a bearing, the vector might be described as either of ...

• 158.9 mph at 102.7°

• 158.9 mph S 77.3° E

Answer:

x= 437.3 ft

Step-by-step explanation:

1: You need to find the angle opposite of x. :

         90-29 = 61 degrees.

2. Use the trig function sine and substitute values:

         sin61= (x/500)

         500sin61 = x

         x=437.309 ft

Answer:

The measure of the other acute angle is 38°

Step-by-step explanation:

we know that

In a right triangle, the sum of the two acutes angles must be equal to 90 degrees (are complementary angles)

Let

x -----> the measure of the other acute angle

x+52°=90°

Solve for x

Subtract 52° both sides

x=90°52°

x=38°

Please mark me as brainliest if this answer is correct and nobody tops it.

So, 18.50/2 = 9.25, so you can just multiply 9.25 by 7

9.25 · 7 = 64.75.

So Sammy earned $64.75, hope she buys something nice for herself with it. :)

Answer:

y - 0.32y = 0.68y

y + 0.32y = 1.32 y

Step-by-step explanation:

To simplify expressions, add/subtract using the coefficients of the terms.

y – 0.32y should be 1 - 0.32 = 0.68. This simplifies to 0.68y.

y + 0.32y should be 1 + 0.32 = 1.32. This simplifies to 1.32y.

7/5y = y+2/5y

0.68y = y-0.32y

3/5y = y-2/5y

1.32y = y+0.32y

Mark me as brainliest

Answer:

B

Step-by-step explanation:

The intercepted angle is given as "34x+4"

The arc is 196.

Any intercepted angle of an arc that falls in the opposite circumference, it will have a measure half that of the arc intercepted.

Hence,

34x+4 = (0.5)(196)

34x + 4 = 98

34x = 98 - 4

34x = 94

x = 94/34 = 2.76

Answer choice B is right.

Answer:

Part 1) Area of rectangle [tex]3,600\ ft^{2}[/tex]

Part 2) Area of semicircle [tex]1,413\ ft^{2}[/tex]

Par 3) Total area of grass [tex]2,187\ ft^{2}[/tex]

Step-by-step explanation:

we know that

The total area of grass is equal to the area of rectangle minus the area of semicircle

step 1

Find the area of rectangle

The area of rectangle is equal to

[tex]A=45*80=3,600\ ft^{2}[/tex]

step 2

Find the area of semicircle

The area of semicircle is equal to

[tex]A=\frac{1}{2}\pi r^{2}[/tex]

we have

[tex]r=60/2=30\ ft[/tex] -----> the radius is half the diameter

substitute

[tex]A=\frac{1}{2}(3.14)(30)^{2}[/tex]

[tex]A=1,413\ ft^{2}[/tex]

step 3

Find the total area of grass

[tex]3,600\ ft^{2}-1,413\ ft^{2}=2,187\ ft^{2}[/tex]

Answer:

True

Step-by-step explanation:

Because it is going back and forth it is

Answer:

P(A ∩ B ∩ C) is 1/25 ⇒ answer D

Step-by-step explanation:

* Lets talk about the Venn diagram

- There are three circles intersect each other

- The number of elements ∈ (A ∩ B) and ∉ C = 5

∴ n(A ∩ B) and ∉ C = 5

- The number of elements ∈ (A ∩ C) and ∉ B = 6

∴ n(A ∩ C) and ∉ B = 6

- The number of elements ∈ (C ∩ B) and ∉ A = 4

∴ n(C ∩ B) and ∉ A = 4

- The number of elements ∈ (A ∩ B ∩ C) = 2

∴ n(A ∩ B ∩ C) = 2

- The number of elements ∈ A and ∉ B , C = 9

- The number of elements ∈ B and ∉ A , C = 8

- The number of elements ∈ C and ∉ A , B = 7

- The number of elements ∉ A , B , C = 9 ⇒ outside the circles

- The total elements in the Venn diagram is the sum of all

  previous numbers

∴ The total number in the Venn diagram = 5 + 6 + 4 + 2 + 9 + 8 + 7 + 9 =

  50

* To find the probability of (A ∩ B ∩ C), find the total number in

  the Venn diagram and the number of elements in the intersection

  part of the three circles

∵ The total elements in the Venn diagram = 50 elements

∵ n(A ∩ B ∩ C) = 2

∴ P(A ∩ B ∩ C) = 2/50 = 1/25

* P(A ∩ B ∩ C) is 1/25