Simplify. Assume t is greater than or equal to zero.
45t2

Answer:

Step-by-step explanation:

Equation of the function is,

f(x) = 2x² + 20x + 54

To convert the function in the form of f(x) = a(x - h)² + k

f(x) = 2(x² + 10x) + 54

     = 2[x² + 2(5x) + 25 - 25] + 54

     = 2[x² + 2(5x) + 5²] + 54 - 50

     = 2(x + 5)² + 4

     = 2[(x - (-5)]² + 4

Vertex of the quadratic equation (parabola) will be (-5, 4)

Therefore, f(x) has a minimum value at x = -5,

f(-5) = 4

"The function f(x) has a minimum value of 4, which occurs when x = 5"

Answer:

Step-by-step explanation:10

Bc you times

Answer:

5.4 feet

Step-by-step explanation:

Pythagorean theorem

a^2+b^2=c^2

5^2 + 2^2=

25+4=29

√29 = 5.385....

About 5.4 feet

Answer:

x=3

Step-by-step explanation:

You subtract the 4 from +4 d +10 and then you left with 2x=6

Then you divide the numbers both by 2 so you are left with x=3.

Have a nice day!!!!!!!!!!

Answer:

x=3

Step-by-step explanation:

2x + 4 - 4 = 10 - 4

2x ÷ 2 = 6 ÷ 2

x = 3

Answer:

gggggjwjwkekdbfjfnnf

Answer:

B is the correct answer

Step-by-step explanation:

Hope it helped have a great day

The question is incorrect. Please see the correct question

Jill, an employee at Old Navy, budgets 1/3 of her yearly salary for clothing. Jill's total clothing bill for the year is $8,220. What is her yearly salary

Answer:

24,660

Step-by-step explanation:

Let y represent her yearly salary

1/3 × y

1/3y

1/3y= 8220

Cross multiply

y= 8220 ×3

= 24,660

Hence Jill yearly salary is 24,660

Answer:

Solution given:

A triangle PQR is right angled at R, with hypotenuse{h}PQ=80cm

and

base[b]PR=60cm.

perpendicular [P]= QR

by using Pythagoras law

h²=p²+b²

80²=QR²+60²

QR²=80²-60²

QR=[tex]\sqrt{2800}[/tex]

QR=20[tex]\sqrt{7}[/tex]=52.9=53cm

QR=53cm.

Answer:

A=75, B=60, C=45

Step-by-step explanation:

5x+4x+3x=180

12x=180

x=15

plug them in and get

A=5(15)=75

B=4(15)=60

C=3(15)=45

Answer:

X + 9 = 21

Isolate the variable, meaning getting rid of the constants

-9         -9

X = 12

Answer:

12

Step-by-step explanation:

To get the answer 12 you must:

Subtract 21 - 9

That would get you your answer.

Answer: 2 ounces

Step-by-step explanation:

1 pound = 16 ounces

1/12= 0.0833333

if you multiply 0.0833333 by 16, youll get 1.3333

therefore for 1/12 pounds you have 1.333 ounces

and it’s obvious that 2 ounces is greater than 1.3333 ounces

The greater is the 2 ounces.

We have to determmine which one is grater from 1/12 and 2.

1 pound = 16 ounces

We have 1/12= 0.0833333.

Now  multiply 0.0833333 by 16, we get 1.3333.

Therefore for 1/12 pounds you have 1.333 ounces.

Therefore 2 ounces is greater than 1.3333 ounces.

To learn more about the ounces visit:

https://brainly.com/question/13518828

Answer:

5m a second

Step-by-step explanation:

Answer:

5 mps

its simple, all you have to do is times 5 meters by 20 seconds and you get 100 meters. so its 5 mps. (sorry i explained it kinda weird)

Answer:

a) 2.5^2+19\times2.5-16.75

Step-by-step explanation:

(2.5)² +(19× 2.5) - 16.75

= 6.25 + 47.5 - 16.75 = 37

Answer:

y ≈18.8

Step-by-step explanation:

Since this is a right triangle we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

y^2 +18^2 = 26^2

y^2 +324=676

y^2 = 676-324

y^2 =352

Taking the square root of each side

sqrt(y^2) = sqrt(352)

y is approximately 18.76

y ≈18.8

=============================================================

Explanation:

There are 4 digits to pick from and 4 slots to fill, so there are 4! = 4*3*2*1 = 24 different codes possible.

If we want the code to start with 371, then that must mean 5 is the only thing left for that fourth slot. In short, there's only one code that starts with 371 and that code is 3715

We have one code we want (3715) out of 24 total, which is why the answer is 1/24 (choice D)

Answer:

-1/9

Step-by-step explanation:

Answer:

47

Step-by-step explanation:

There are total 52 cards.

Certain number of cards are lost.

When divided by 4, leaves 3 cards remain ; 51, 47, 43, 39, . . .

When divided by 5, leaves 2 cards remain : 47, 42, 37, 32, . . .

When divided by 3, leaves 2 cars remain : 50, 47, 44, 41, . . .

The common number among the three is 47.

Answer:

30

Step-by-step explanation:

Given that,

No. of pairs of pants = 3

No. of shirts = 5

No. of pairs of shoes = 2

No. of different outfits that Jane can choose from = 3 * 5 * 2

= 30

∵ The maximum number of different outfits would be 30.

Answer:

Volume of triangular prism is given by formula

Volume of triangular prism = (Area of the base) x 12 (height of the prism)

now plug the given values

216= (area of the base) x 12

216/12 = area of the base

18= area of the base

so, the answer is 18 square cm

Answer:

x<16

it's the last one

Step-by-step explanation:

Multiply both sides of the inequality by

then move the constant to the right hand side and

change it's sign and

subtract by four

Answer:

37/12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

1/2w + 3

w = 1/6

Step 2: Evaluate

Answer:

L = 16oz

M = 12oz

S = 8oz

Step-by-step explanation:

8 large equal to 128oz ( 8 x 16 = 128 )

4 medium equal to 48oz ( 4 x 12 = 48

4 large equal to 64oz ( 4 x 16 = 64

12 medium equal to 144oz ( 12 x 12 = 144 )

Total of oz equal 384oz

384 - 80 = 304/80 = 3.8

3 more bowl of 80oz and 5 Mcup and 1/2 Scup

Answer:

x = -6

y = 9

Step-by-step explanation:

The sum of two numbers is 3

x + y = 3

twice the larger number is 36 more than three times the smaller number

2y = 3x + 36

Divide both sides by 2

y = 1.5x + 18

substitute for y in the first equation

x + (1.5x + 18) = 3

2.5x = -15

divide both sides by 2.5

x = -6

Substitute for x in the first equation

-6 + y = 3

y = 9

The sum of two numbers is 3, and twice the larger number is 36 more than three times the smaller number. The number are x = -6 and y = 9.

A linear equation is an equation in which each term has at max one degree.

Linear equation in variable x and y can be written in the form y = mx + c

Linear equation with two variables, when graphed on a cartesian plane

with axes of those variables, give a straight line.

It is given that the sum of two numbers is 3.

x + y = 3

Also, twice the larger number is 36 more than three times the smaller number, then

2y = 3x + 36

Divide both sides by 2

y = 1.5x + 18

By substituting for y in the first equation

x + (1.5x + 18) = 3

2.5x = -15

now, divide both sides by 2.5

x = -6

Substitute for x in the first equation

-6 + y = 3

y = 9

Learn more about linear equations here:

https://brainly.com/question/27465710

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Answer:

The convergent series are;

[tex]\sum \limits _{n = 1}^\infty \left( \dfrac{1}{5} \right) ^n[/tex]

(And)

[tex]\sum \limits _{n = 1}^\infty \left( \dfrac{1}{10} \right) ^n[/tex]

Step-by-step explanation:

A series in mathematics is the sum of a sequence of numbers to infinity

A convergent series is a series that sums to a limit

From the given options, we have;

First option

[tex]\sum \limits _{n = 1}^\infty \dfrac{2\cdot n}{n + 1}[/tex]

As 'n' increases, 2·n becomes more larger than n + 1, and the series diverges

Second option

[tex]\sum \limits _{n = 1}^\infty \dfrac{n^2 - 1}{n - 2}[/tex]

As 'n' increases, n² - 1, becomes more larger than n - 2, and the series diverges

Third option

[tex]\sum \limits _{n = 1}^\infty \left( \dfrac{1}{5} \right) ^n[/tex]

As 'n' increases, [tex]\left( \dfrac{1}{5} \right) ^n[/tex], becomes more smaller and tend to '0', therefore, the series converges

Fourth option

[tex]\sum \limits _{n = 1}^\infty \left( \dfrac{1}{10} \right) ^n[/tex]

As 'n' increases, [tex]3 \times\left( \dfrac{1}{10} \right) ^n[/tex], becomes more smaller and tend to '0', therefore, the series converges

Fifth option

[tex]\sum \limits _{n = 1}^\infty \dfrac{1}{10} \cdot (3) ^n[/tex]

As 'n' increases, [tex]\dfrac{1}{10} \cdot (3) ^n[/tex], becomes more larger and tend to infinity, therefore, the series diverges.

Answer:

C and D

Step-by-step explanation:

Edge 2021

Answer:

An organ system is a group of organs that work together to perform one or more functions. Each organ has a specialized role in a plant or animal body, and is made up of distinct tissues.

#Carry on learning

#mark a brainlies

[tex] - heaven[/tex]

Answer:

4m

Step-by-step explanation:

shapes are similar.

purple shape is double the red and 2x2 is four

so the answer is 4m

Answer:

a = 4m

Step-by-step explanation:

1m side is 2m, that 1 x 2

Therefore 2m side will 2 x 2 = 4m

Answer:

Step-by-step explanation:

1.25 yd x 2 yd x 1.5 yd

= 2.5 yd^2 x 1.5 yd

= 3 3/4 yd^3

answer is D

Answer:

the answer is 33

Step-by-step explanation:

for every 2 Illustrations there are 3 texts meaning if there is 22 Illustrations there would be 33 texts

Answer:

33 text

Step-by-step explanation:

Text : illustrations

3                 2

For every 3 text, there are 2 illustrations

We have 22 illustrations so we need to multiply by 11

Text : illustrations

3*11            2*11

33                  22

We need 33 text

30,125 × ( 3 )^2 =

30,125 × 9 =

271,125 yd^2

Answer:

option C . 0.5

Step-by-step explanation:

[tex]cos 300 = cos(2\pi - 300 ) = cos( 360 - 300) = cos 60 = 0.5[/tex]

Using the formula :

[tex]cos\theta = cos (2\pi - \theta )[/tex]

C= 0.5

Step-by-step explanation:

Answer:

135°

Step-by-step explanation:

Using S = rA, where S is arc length, r is radius and A is angle(in radians).

Comparing:

=> 12 = 16A

=> 12/16 = A

=> 3/4 = A

Required radian is 3/4 which is 3/4 * 180° = 135°

Answer:

A. The points seem to be clustered around a line

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Because there are 2 outliers