For the expression below, combine like terms to simplify the expression. -4x + 3y - 6 -15x + 23y - 10

Given that,

velocity, v = 7.8 ft/s

Radius, r = 1.25 ft

To find,

a. What is the acceleration of the bucket?

b. What is the velocity if the acceleration is 25 ft/sec²?

Solution,

(a) The centripetal acceleration is given by :

[tex]a=\dfrac{v^2}{r}[/tex]

Put v = 7.8 ft/s and r = 1.25 ft

[tex]a=\dfrac{(7.8)^2}{1.25}\\\\=48.672\ ft/s^2[/tex]

(b) Put a = 25 ft/s² to find velocity.

[tex]v=\sqrt{ar} \\\\v=\sqrt{25\times 1.25} \\\\v=5.59\ ft/s[/tex]

Hence, this is the required solution.

Answer:

Option 2

Step-by-step explanation:

Answer:

(b) [tex]\$24,169.60[/tex]

Step-by-step explanation:

Given:  Cost of car is [tex]\$22,346.16[/tex]

            Sales tax is [tex]7.6\%[/tex]    

             The license and title  charges are [tex]\$125.13[/tex]

To find: The amount that the credit union will finance.

Solution:

We have,  

Cost of car[tex]=\$22,346.16[/tex]  

Sales tax is [tex]7.6\%[/tex] of [tex]\$22,346.16[/tex]

Therefore,  

sales tax [tex]=\frac{7.6}{100}\times22,346.16=\$1698.31[/tex]

The license and title  charges [tex]=\$125.13[/tex]

Now, the amount that the credit union will finance is

cost of car[tex]+[/tex]sales tax[tex]+[/tex]the license and title  charges

[tex]=\$22346.16+\$1698.31+\$125.13[/tex]

[tex]=\$24,169.60[/tex]

Hence, the amount that the credit union will finance is [tex]\$24,169.60[/tex].

So, (b) [tex]\$24,169.60[/tex] is correct.

Answer:

b.

$24,169.60

Step-by-step explanation:

hope it helps :)

Answer:

Start at 7:30pm

add 46 minutes = 8:16 Pm

add 20 minutes = 7:50 Pm

add 53 minutes = 8:23 Pm

Step-by-step explanation:

Answer:

x=18

Step-by-step explanation:

Key skills needed: Arithmetic Sequences, Addition

1) We have a sequence of 8,13,x

2) To find the number being added every time, we do 13-8. This is 5.

3) This means x would be 13+5

4) 13+5 is 18 so x is 18.

Hope you understood and have a nice day!! :D

Answer:

The length of [tex]\overline {FH}[/tex] is;

D. 38 units

Step-by-step explanation:

The given parameters are;

The type of the given quadrilateral FGHI = Rectangle

The diagonals of the quadrilateral = [tex]\overline {FH}[/tex] and [tex]\overline {GI}[/tex]

The length of IE = 3·x + 4

The length of EG = 5·x - 6

We have from segment addition postulate, [tex]\overline {GI}[/tex] = IE + EG

The properties of a rectangle includes;

1) Each diagonal bisects the other diagonal into two

Therefore,  [tex]\overline {FH}[/tex] bisects [tex]\overline {GI}[/tex], into two equal parts, from which we have;

IE = EG

[tex]\overline {GI}[/tex] = IE + EG

3·x + 4 = 5·x - 6

4 + 6 = 5·x - 3·x = 2·x

10 = 2·x

∴ x = 10/2 = 5

From which we have;

IE = 3·x + 4 = 3 × 5 + 4 = 19 units

EG = 5·x - 6 = 5 × 5 - 6 = 19 units

[tex]\overline {GI}[/tex] = IE + EG = 19 + 19 = 38 units

[tex]\overline {GI}[/tex] = 38 units

2) The lengths of the two diagonals are equal. Therefore, the length of segment [tex]\overline {FH}[/tex] is equal to the length of segment [tex]\overline {GI}[/tex]

Mathematically, we have;

[tex]\overline {FH}[/tex] = [tex]\overline {GI}[/tex] = 38 units

∴ [tex]\overline {FH}[/tex] = 38 units.

Answer:

10% increase

Step-by-step explanation:

To find the percent change, divide the difference between the 2 prices by the original price:

2/20

= 0.1

So, the percent change was 10%

Answer:

Zero

Step-by-step explanation:

So we start out on a positive 7. We then add a negative (You just subtract) 7. Modified equation: 7-7

7 minus 7 equals 0 or {7 - 7 = 0}

Hope this helps!!

Answer:

0

Step-by-step explanation:

Answer:

y>2

Step-by-step explanation:

-3y-12<-6

-3y<6

y>2

I hope this answer helped, and if it was correct, please mark this as brainliest! Thank you!

Answer:

y>-2

Step-by-step explanation:

-3y-12<-6 (move the constant to the right)

-3y<-6+12 (calculate)

-3y<6 (divide both sides)

solution: y>-2

hope this helps!

Answer:

Step-by-step explanation:

Part C- y=20x+600

Part D- To part D find the equations for all the cities.

Everett- y=15x+550

Chelsea- y=20x+600

Revere- y=50x+300

Since 2030 is 14 years away from 2016 x will equal 14.

Plug in 14 to each of the equations. Whichever has the highest result will be the answer.

Everett- y=15(14)+550 -----> y=760

Chelsea- y=20(14)+600 -----> y=880

Revere- y=50(14)+300 -----> y=1000

Revere will have the most chromebooks.

Answer:

D

Step-by-step explanation:

simplify:

3x+9>x+33

2x>24

x>12

now see the graphs, and B and D both are marked with 12

but D has no filled circle, so that is the right answer

I hope this helped, and if my answer was right, please mark this as brainliest! Thank you!

Answer:

x = 32

Step-by-step explanation:

x/4 + 2 = 10

subtract 2 on both sides

x/4 + 2 - 2 = 10 - 2

x/4 = 8

Multiply 4 on both sides

x/4 * 4 = 8 * 4

x = 32

__________________________________________________________

Check:

32/4 + 2 = 10

8 + 2 = 10

10 = 10 CORRECT

Hope this helped!

The temperature at 8 pm is obtained as follows:

-9 ºF.

The temperature at 8 pm is obtained applying the sequences in the context of this problem.

The initial temperature is of:

−12°F.

By 5:00 p.m., the temperature had risen 5 degrees, hence the temperature at 5 pm is given as follows:

-12 + 5 = -7ºF.

Over the next three hours, the temperature had dropped 2 degrees, hence the temperature at 8 pm is obtained as follows:

-7 - 2 = -9 ºF.

More can be learned about sequences at https://brainly.com/question/6561461

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Answer:b

Step-by-step explanation:

Answer:

k = 16/33

Step-by-step explanation:

Determine k so that 2/3,k and 5/8k are the three consecutive terms of an a.p

k - 2/3 = 5/8k - k

3k-2/3 = 5k-8k/8

Cross product

(3k-2)(8) = (3)(5k-8k)

24k - 16 = 15k - 24k

24k - 16 = -9k

24k + 9k = 16

33k = 16

k = 16/33

The expression which can be used to find the total price of a basket order is [tex]T=42b - 7.5[/tex]

Given the following data:

To determine which expression can be used to find the total price of a basket order:

Since the basket orders had a discount of $7.50, this discount would be substracted from the cost price of the orders, in order to find the total price. Also, the total cost price would be multiplied by number of basket orders.

Mathematically, this is given by this expression:

[tex]T=42b - 7.5[/tex]

Read more on discount here: https://brainly.com/question/933761

Answer:

Step-by-step explanation:

Let the present age of Alicia be x

Let the present age of her brother be y

Three years ago;

Alicia age = x - 3

Her brother's age = y - 3

If three years ago Alicia was twice as old as her brother Carlos, then;

X - 3 = 2(Y-3)

x-3 = 2y - 6

x = 2y - 3 ...1

In two years time;

Alicias age = x+2

Her brother's age = y +2

If in two more years Alicia will be just 50% older than Carlos, then;

x+2 = y + 2 + (0.5(y+2))

x+2 = y+2 + 0.5y + 1

x+2 = 1.5y+3

x = 1.5y + 1 ...2

Equating 1 and 2;

2y - 3 = 1.5y + 1

2y - 1.5y = 1+3

0.5y = 4

y = 4/0.5

y = 8

Since x = 2y-3

x = 2(8) - 3

x = 16-3

x = 13

Hence Alicia will be 13 years old today

Answer: Solution

=

−

6

Step-by-step explanation:

Answer:

X = -6 plz brainliest

Step-by-step explanation:

-1/6x - 5 = 2/3x

Get rid of the smallest amount of x by adding 1/6x to both side

-5 = 5/6x

Divide both side by 5/6

-6 = x

X = -6

Answer: Assuming it means slope-intercept, the answer would be y=-2x+9

y = -2x + 9 is the equation of the line given in the graph.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given a graph of the line, Where we can see that the line passes through the coordinates (0, 9) and (1, 7)

From the slope-intercept formula of a line:

y = mx +c

Where m is the slope

And c is the value of y at x =0

Thus in our case,

c = 9

and slope m = (y - y )/(x - x)

m = (7-9)/(1-0)

m = -2

so, the equation of the line:

y = -2x + 9

Therefore, the equation of the line in the given Graph is y = -2x + 9.

Learn more about Linear equations here:

https://brainly.com/question/11897796

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Answer:

can anyone help me with this problem plzzz

Step-by-step explanation:

Answer:

y = - 3, x = 8

Step-by-step explanation:

x - y = 11, x = 11 + y

Lets solve this equation with substitution: 3x + 10y = - 6

3(11+y)+10y=-6

33+3y+10y=-6

13y=-39

y = - 3

x - (-3) = 11

x + 3 = 11

x = 8

Answer:

use the first equation and solve for the variables

Step-by-step explanation:

for example, to solve for x add y on both sides x=11+y and substitute that to the equation

3(11+y)+10y=-6

that should give you -3

then go back to the equation x=11+y

x=11+(-3)

x=8

hope this helps!

9514 1404 393

Answer:

  ∠A = 66.2°

Step-by-step explanation:

The sum of exterior angles of any polygon is 360°, so you have ...

  (3x +10)° +(5x)° +(2x +4)° = 360°

  10x +14 = 360 . . . . . . . . . . . . . . .collect terms, divide by °

  x + 1.4 = 36 . . . . . . . . . divide by 10

  x = 34.6

The interior angle at A is the supplement of the exterior angle there:

  ∠A = 180° -(3x +10)° = 180° -(3(34.6) +10)°

  ∠A = 66.2°

Answer:

Acute and Obtuse..I cant see any right

Step-by-step explanation:

Answer:

D) Acute and Obtuse angles

Step-by-step explanation:

The pink quadrilateral has obtuse angles and I believe it has 2 acute angles.

The orange one has 2 acute and 2 obtuse angles

And the green one has both acute and obtuse angles.

Answer:

16÷5 is the division problem

Step-by-step explanation:

Let x be the height of the screen.

Using Pythagoras' Theorem,

we have x² + 16² = 24².

Therefore x² = 24² - 16² = 320,

x = √320 = 8√5 in.

The height of the screen is 8√5 inches.

Answer:

Time taken to cover 10 miles = 80 minutes

Step-by-step explanation:

Given:

Ratio [Number of minutes : Number of miles runs] = 24:3

Find:

Time taken to cover 10 miles

Computation:

Number of minutes/Number of miles runs = Time taken to cover 10 miles / 10

24/3 = Time taken to cover 10 miles / 10

Time taken to cover 10 miles = 80 minutes

Answer:

(5.5,3)

Step-by-step explanation: