Write which place to use when comparing the numbers 3,176 & 3,472

Answer:12b^4 + 6b - 18

Step-by-step explanation:

Area of a rectangle is width x height

(4b^4 + 2b - 6) x 3

Multiply the coefficients by 3

So you get

12b^4 + 6b - 18

Answer:

C. Paige's soccer ball.

Step-by-step explanation:

When you graph y = 3x^2 + 6x + 3, you can see that the max of the parabola is around 6. This is lower compared to Paige's soccer ball's max height shown in the image.

Answer:

Step-by-step explanation:

To solve this problem, we just need to graph Viola's function to know the altitude she reached, and then compare it with Paige's altitude.

So, we know that Viola's function is [tex]y=-3x^{2}+6x+3[/tex], as an extra solution, we can calculate the vertex of this quadratic function, that will give us Viola's max altitude.

[tex]V(v_{x};v_{y})\\V(\frac{-b}{2a};f(v_{x} ))[/tex]

Where b and a are from the general quadratic function: [tex]y=ax^{2} +bx+c[/tex].

So, in this case, a = -3; b = 6. Replacing this values, we find the vertex:

[tex]V(\frac{-b}{2a};f(v_{x} ))[/tex]

[tex]v_{x}= \frac{-b}{2a}=\frac{-6}{2(-3)}=1[/tex]

Then, we use the function to calculate the vertical coordinate of the vertex:

[tex]v_{y}=f(1)=-3(1)^{2}+6(1)+3=-3+6+3=6[/tex]

Therefore, the max altitude reached by Viola is 6 meters.

Now, from the graph, we observe that Paige's max altitude is around 7.5 meters.

Therefore, Paige reached the higher height. The answer is C.

Answer:

x=$150,000

4th person invested $550,000

Step-by-step explanation:

100,000+x+2x+(100,000+x+2x)=1,100,000

200,000+6x=1,100,000

6x=900,000

x=150,000

The investment of the fourth person is 100,000+3x

=100,000+450,000

=$550,000

The amount invested by the fourth person was $550,000.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

Given that a person invested $100,000. Two others invested in the ratio x:2x and the fourth person invested an amount equal to the other three investors combined.

We have to determine an expression for the amount invested by the fourth person.

The total investment = $1,100,000.

So an expression for the amount invested by all people as:

⇒ 100,000 + x + 2x + (100,000+x+2x) = 1,100,000

⇒ 200,000 + 6x = 1,100,000

⇒ 6x = 900,000

⇒ x = 150,000

So the investment of the fourth person as

⇒ 100,000 + 3x

⇒ 100,000 + 450,000

⇒ $550,000

Learn more about the Ratio here:

brainly.com/question/1504221

#SPJ2

2,438 3,026 4,209 4,703

Answer: 2,438  3,026  4,209 4,703

Step-by-step explanation:

Answer:

  7a³-2b²

Step-by-step explanation:

[tex]8a^3-3b^2-(-a)^3+b^2=(8-1)a^3+(-3+1)b^2=7a^3-2b^2[/tex]

_____

Math symbols were invented so that expressions could be written unambiguously. You might find you are more likely to get the answers you need if you use them.

Answer: The radius is 14 units.

Step-by-step explanation:

Start by finding the diameter, the formula for circumference is πd, So set up an equality:

28π=c

28π=πd

Divide both sides by π:

28π/π = 28πd/π

Cross out π:

28 = d

diameters twices largest radius, divide your diameter by 2 to get radius.

D/2 = r = 28/2 = 14

Therefore, your radius is 14 units.

A linear pair is supplementary.

It always helps to draw out a diagram with the information you have - it makes the solving process more visual and sometimes easier. I have attached a diagram of this linear pair.

So, since a linear pair is supplementary, we know these two angles add to equal 180°. Let's write this in an equation.

(5n + 15) + (4n + 21) = 180

Solve for n.

(5n + 15) + (4n + 21) = 180

5n + 15 + 4n + 21 = 180

9n + 36 = 180

9n = 144

n = 16

We're not done yet - now we have to plug this in for n to find the angle measures.

5n + 15

5(16) + 15

80 + 15

95

4n + 21

4(16) + 21

64 + 21

85

Lastly, check your work by adding the angle measures.

95 + 85 = 180

m∠EFG = 95°

m∠GFH = 85°

The repair took:

                    2 hours and 45  minutes.

The worker charges $54 for the first hour, and $15.50 for each additional 15 minutes.

Let he does a job of additional 15 minutes for: x times.

This means that:

Cost for additional minutes will be: $ 15.50x

Hence, his total cost will be equal to: 54+15.50x

i.e.

54+15.50x=162.50

i.e.

15.50x=162.50-54

i.e.

15.50x=108.50

i.e.

x=108.50/15.50

x=7

Hence, the work took a total of:

60+15×7=165 minutes

which is: 2 hours and 45 minutes.

Answer:

Step-by-step explanation:

D 36 is the answer

Greetings!

This is how your double number line should look:

 (lbs)     0      1       2      3     4      5

              ↓-----↓-----↓-----↓-----↓-----↓

              0    3.5    7    10.5  14   17.5          (dollars)

Hope this helps!  

Answer:

[tex]\frac{63}{2}[/tex]

Step-by-step explanation:

The n th term of an arithmetic progression is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - [tex]\frac{1}{2}[/tex] and d = 4, thus

[tex]a_{9}[/tex] = - [tex]\frac{1}{2}[/tex] + (8 × 4) = - [tex]\frac{1}{2}[/tex] + 32 = [tex]\frac{63}{2}[/tex]

Answer:

193/27

Step-by-step explanation:

8 10/27 - 1 2/9

226/27 - 11/9

= 193/27

Answer:

7, B, 24

Step-by-step explanation:

2 . x+12 = 19

So what added to twelve equals 19? Well, 7 added to 12 is nineteen so that means x is equal to 7.

3. Inverse means opposite, so then number three would be B.

4. Finding the inverse means the opposite so subtracting the inverse of 24 is just 24 because those are opposites.

Answer:

10x - 17

Step-by-step explanation:

Perimeter is the sum of all sides

5x - 7 + (3x - 4) + (2x - 6)

10x - 7 - 4 - 6

10x - 17

Answer:

755

Step-by-step explanation:

The sum of 308+622+381=755

The sum of the numbers 308,622, and 381 is 755.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the numbers are 308, 622 and 381. The sum of the numbers will be calculated by adding all the numbers as below,

Sum = 308+622+381

Sum = 755

Hence, the sum of the numbers will be 755.

To know more about an expression follow

https://brainly.com/question/13492671

#SPJ2

Answer:

122 ft^2.

Step-by-step explanation:

This area can be divided into 2 rectangles:

One of size 14 * 4 = 56 ft^2 and

another of size (15 - 4)* 6 =  66ft^2

Total 66 + 56 = 122 ft^2.

Answer:

Step-by-step explanation:

Let's start with the bigger portion of the non-shaded area.

It is 15*6 because it is showing us that the distance between the non-shded area and the shaded area is 6 feet, if we slide that over, it is exactly what we need. So...

15*6=90 feet

Now, the smaller part. BTW, we are pretending there is a line from the bottom left corner of the shaded, straight across to the real line at the 14.

That being said, we need to subtract 6 from 14 to get the dimension.

So...

14-6= 8 feet.

It tells us that the width is 4 feet.

8*4= 32.

Now we have to add. 32+90=122feet squared.

making the answer, B

Hope this helps!!!

Brady

Answer:

A. 1/5

Step-by-step explanation:

Add all the numbers up, you get 25. There is 5 yellow marbles, so that's a 5/25 chance of picking a yellow one, now you just have to simplify, you then get 1/5, because 5 ÷ 5 is 1, and 25 ÷ 5 is 5.

Answer:

The value of x is 62°.

Step-by-step explanation:

It's 62° because it's a right angle (from the small box) . So you would do the given measurement (28°) and subtract that from 90°.

Answer:

2(6x - 2 + x - 1) = 2(7x - 3) = 14x - 6

Answer:

-6

Step-by-step explanation:

Answer:

Is it 15 Minus 21 (Or) 15 x -21

Step-by-step explanation:

Answer:

Step-by-step explanation:

First, the graph is flattened, and secondly, the whole resulting graph is translated upward by 9 units.

Answer:

0.3

Step-by-step explanation:

7 is greater than 5 therefore round the tenths value up to 3

Hey!

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

Solution:

Remember to follow PEMDAS.

= (68 * 95) + 90 / 10

= (6,460) + 90 / 10

= 6,460 + 9

= 6,469

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

Answer:

6,469

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

Hope This Helped! Good Luck!

In order to find the answer to the question you will have to use PEMDAS and then solve.

[tex](68\times95)+90\div10[/tex]

Using PEMDAS:

[tex]68\times95=6460[/tex]

[tex]6460+90\div10[/tex]

[tex]90\div10=9[/tex]

[tex]6460+9[/tex]

[tex]6460+9=6469[/tex]

[tex]=6469[/tex]

Therefore your answer is "6469."

Hope this helps.

Answer:

B and C

Step-by-step explanation:

Answer:

A sequence of transformations that maps △RST to △R′S′T′ is a Reflection across the x-axis followed by a Translation 1 unit down

Step-by-step explanation:

step 1

Find out the reflection of △RST across the x-axis

we know that

The rule of the reflection of a point across the x-axis is

(x,y) -----> (x,-y)

we have

R(1,3),S(1,1),T(4,1)

Applying the rule of reflection across the x-axis

R(1,3) -----> R''(1,-3)

S(1,1) -----> S''(1,-1)

T(4,1) ----> T''(4,-1)

step 2

Find out the translation of △R''S''T'' 1 unit down

The rule of the translation is

(x,y) -----> (x,y-1)

Applying the rule of the translation

R''(1,-3)-----> R'(1,-3-1)

R''(1,-3)-----> R'(1,-4)

S''(1,-1)----> S'(1,-1-1)

S''(1,-1)----> S'(1,-2)

T''(4,-1) ----> T'(4,-1-1)

T''(4,-1) ----> T'(4,-2)

therefore

A sequence of transformations that maps △RST to △R′S′T′ is a Reflection across the x-axis followed by a Translation 1 unit down

If ( t = -3 ), then [tex]\( 3t^2 + 5t + 6 \)[/tex] equals 0.

To find the value of [tex]\( 3t^2 + 5t + 6 \)[/tex] when ( t = -3 ), substitute (-3) for ( t ) in the expression:

[tex]\[ 3(-3)^2 + 5(-3) + 6 \][/tex]

= 3(9) - 15 + 6

= 27 - 15 + 6

= 12 - 15

= -3

Therefore, when ( t = -3 ), \[tex]( 3t^2 + 5t + 6 \)[/tex] evaluates to (-3).

Understanding how to substitute values into algebraic expressions is fundamental in algebra. In this case, replacing ( t ) with (-3) allows us to find the specific value of the expression for that given input.

It's worth noting that this expression equals 0 for ( t = -3 ). This is an interesting mathematical result, indicating that the expression [tex]\( 3t^2 + 5t + 6 \) factors as \( (t + 3)(3t + 2) \),[/tex] making it equal to 0 when either \[tex]( t = -3 \) or \( t = -\frac{2}{3} \).[/tex] This connection between factors and roots is a crucial concept in algebra.

Answer:

The smaller angle is 18 degrees

The larger angle is 72 degrees

Step-by-step explanation:

x = smaller angle

y = larger angle

y = 4x ---> one angle is 4 times larger than other one.

y + x = 90 ----> the sum of complementary angles is 90 degrees

4x + x = 90 ----> plug in 4x for the larger angle (y) and then solve

5x = 90

x = 18 ----> the smaller angle is 18 degrees

y = 90 - 18

y = 72 ----> the larger angle is 72 degrees

The smaller angle is 18.

The complementary angle is the angle that adds up to 90 degrees always, so when we say that two angles are complementary it means that the sum of the angle or the combined angle is equal to ninety degrees.

The larger angle is 4 times the smaller angle so let the smaller angle be 'x' and the larger angle be 4x.

Hence the sum of both the angle is 90 degrees from the definition of complementary

so 4x+x=90, 5x = 90

dividing the equation by 5

x = 18

Hence the smaller angle is 18 degrees

Learn more about complementary angles here

https://brainly.com/question/27877139

#SPJ2

Answer:

$1694.5

Step-by-step explanation:

Hourly rate for Beau = $26.50

Weekly hours = 40 Hours

Basic earning = 26.50 × 40 = $820

Total number of hours Beau worked in week = 56.5 Hours

Overtime = 56.5 - 40 = 16.5 Hours

Overtime rate = 2 × Hourly rate = 2 × 26.50 = $53

Overtime earning = 53×16.5 = $874.5

Total earning for the week = 820 + 874.5 = $1694.5

Answer:

The least number of questions a student can answer correctly is 32

Step-by-step explanation:

Let

x -----> the number of questions answered correctly

y ----> the  total number of questions on a test

[tex]ratio=\frac{x}{y}[/tex]

we know that

For a student to earn and A or B on a test, the ratio  must be greater than or equal to 0.8

so

[tex]\frac{x}{y} \geq 0.8[/tex]

For y=40 questions

Find the value of x

substitute

[tex]\frac{x}{40} \geq 0.8[/tex]

solve for x

Multiply both sides by 40

[tex]x \geq 0.8(40)[/tex]

[tex]x \geq 32[/tex]

so

The least number of questions a student can answer correctly is 32

Verify the ratio

For x=32, y=40

[tex]\frac{32}{40}=0.8[/tex]

Compare

[tex]0.8 \geq 0.8[/tex] ----> is ok

Final answer:

This math question involves determining the minimum number of questions a student needs to answer correctly to earn an A or B grade based on a specific ratio criterion.

Explanation:

Mathematics: In this question, we are dealing with a scenario where a teacher evaluates students' test performance based on a specific ratio criterion to determine if they earn an A or B grade. The focus is on determining the minimum number of questions a student must answer correctly to achieve the desired grades.

Step-by-step explanation:

Given that the ratio of correct answers to the total questions must be greater than or equal to 0.8 to earn an A or B.

We know the total number of questions on the test is 40.

To find the least number of questions a student must answer correctly, we calculate 0.8 x 40 = 32.

Therefore, the student needs to answer at least 32 questions correctly to earn an A or B on the test.

Answer:

[3, 8]

Step-by-step explanation:

Now, a 90°-clockwise rotation is the exact same as a 270°-counterclockwise rotation, and according to the 270°-counterclockwise rotation [90°-clockwise rotation] rule, you take the y-coordinate, bring it over to your new x-coordinate, and take the OPPOSITE of the x-coordinate and set it as your new y-coordinate:

Extended Rotation Rules

So, perform your rotation:

270°-counterclockwise rotation [90°-clockwise rotation] → [-8, 3] moves to [3, 8]

I am joyous to assist you anytime.

The image of the point (-8,3) after a rotation of 270 degrees counterclockwise is (3,8).

The image of the point (-8,3) after a rotation of 270 degrees counterclockwise can be determined by using the concept of rotation of vectors in a coordinate plane. A rotation of 270 degrees counterclockwise is equivalent to a 90 degrees clockwise rotation. To rotate a point, you can use the rotation matrix:

For a 90 degrees clockwise rotation, the rotation matrix is:

  [0  1]
  [-1  0]

Applying this matrix to point (-8,3) gives us:

  [0  1]   [-8]
  [-1  0]    [3]

Which results in:

  [3]
  [8]

Therefore, the new coordinates after rotation will be (3,8).