Use equivalent ratios to find the unknown value.

Answer:

k=5

Step-by-step explanation:

[tex]f(x)=x^2-6x+14[/tex]

[tex](\frac{b}{2} )^2= (\frac{-6}{2})^2= (-3)^2=9[/tex]

[tex]f(x)-5=x^2-6x+9[/tex]

[tex]f(x)-5=(x-3)^2[/tex]

[tex]f(x)=(x-3)^2+5[/tex]

[tex]k=5[/tex]

Answer:

150%

Step-by-step explanation:

Percent change =   [tex]\frac{New - Old}{|Old|}[/tex] × 100%

=> [tex]\frac{10000-4000}{4000}[/tex] × 100

=> [tex]\frac{6000}{4000}[/tex] × 100 = 150% (increase)

Answer:

7 11/12

Step-by-step explanation:

3 2/3 + 4 1/4 = 3 8/12 + 4 3/12 = 7 11/12

Answer:

1.) 12000

2.) 6750

3.) 2.41

Step-by-step explanation:

Given the Equation :

f(t)=12,000(3/4)^t. ; where, t = time ; f(t) = worth of car at time, t

When, car was purchased, t = 0

t = 0

f(0) = 12000(3/4)^0

= 12000 * 1

= 12000

2.)

f(2) ; this mean the worth of the car after 2 years :

f(2)=12,000(3/4)^t.

12000(3/4)^2

12000 * 0.5625

= 6750

When car will be worth 6000

f(t) = 6000

f(t)=12,000(3/4)^t.

6000 = 12,000(3/4)^t

6000 / 12000 = (3/4)^t

1/2 = (3/4)^t

Take the log of both sides :

Log(0.5) = log(0.75)^t

log(0.5) = tlog(0.75)

- 0.301029 = - 0.124938t

t = - 0.301029 / - 0.124938

t = 2.4094

t = 2.41 years

Answer:

33.12 square feet

Step-by-step explanation:

Step 1

We convert the dimensions to feet

1 cm = 0.0328084 feet

Length = 114cm

Hence

114 cm = 114 × 0.0328084 feet

= 3.74016 feet

≈ 3.7 feet

Height = 56cm

Hence

56 cm = 56 × 0.0328084 feet

= 1.83727 feet

≈ 1.8 feet

Depth(width) = 56cm

Hence

56 cm = 56 × 0.0328084 feet

= 1.83727 feet

≈ 1.8 feet

Step 2

The surface area of the rectangular prism

A=2(wl+hl+hw)

=2× (1.8×3.7+ 1.8×3.7 + 1.8 ×1.8)

≈33.12 square feet

Answer:377 /4  = 94 and 1 / 4  =94.25

Step-by-step explanation:

Subtract

95 − 3 /4

 = 377 / 4

Convert integer to fraction

95 = 95 / 1

Find common denominator

95 over 1

− 3 over 4

= ( 95 × 4 ) over ( 1 × 4 )

 − ( 3 × 1 ) over ( 4 × 1 )

= 380 over 4

 − 3 over 4

4 is the least common multiple of denominators 1 and 4. Use it to convert to equivalent fractions with this common denominator.

Subtract

380 over 4

− 3 / 4

= ( 380 − 3 ) / 4

= 377 /4

Simplify

377 / 4

= 94 and 1 /494

Reduce fraction to lowest terms

1 is the greatest common divisor of 377 and 4. The result can't be further reduced.

Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.

Convert improper fraction to mixed number

377 /4

= 94 1 /4

377 ÷ 4 = 94 remainder 1

By writing the whole number as a fraction, we will see that the solution is 377/4

Here we want to take the difference between a whole number and a fraction:

95 - 3/4

To do this, we need to write the whole number as a fraction, to do it, we multiply and divide it by 4:

95 = (4/4)*95 = 380/4

Now we rewrite our expression as:

95 - 3/4 = 380/4 - 3/4 = 377/4

This is the solution of the expression.

If you want to learn more about fractions, you can read:

https://brainly.com/question/11562149

Answer:

3 in.

Step-by-step explanation:

volume = ⅓πr²h

⅓πr²h=12π

r²h=36

r²=9

r = 3 inches

Answer:

1/2 and 3

Step-by-step explanation:

The quadratic formula is as given:

 (  -b±√(b^2-4ac)  )/2a

To use it, plug in the a,b and c values.

ax^2+bx+c

In this case a is equal to 2, b is equal to -7, and c is equal to 3

plugging it into our formula gives us:

(-(-7)±√(-7^2-4*2*3)  )/2*2

Which is equal to:

7±√(49-24) / 4

= 7±√25 / 4

=7±5 / 4

=2/4, 12/4= 1/2, 3

Answer:

17

Step-by-step explanation:

34/2 because the measure of the arc is half of what it would normally be because it touched the other side

Answer:

b=30

Step-by-step explanation:

Answer:

$800 total paid for four loins. Everyone gets one ribeye so price of steak per person is four dollars.

Step-by-step explanation:

1 ribeye per person -> 50 ribeyes per loin -> 200 (people going)/50 (people fed per loin) = 4 (loins needed) -> $200.00 x 4 loins = $800 of loin total and 4 dollars per ribeye (1 ribeye per person)

9514 1404 393

Answer:

  47 -6√10

Step-by-step explanation:

As you know, the area of a square is the square of the side length. It can be helpful here to make use of the form for the square of a binomial.

  (a -b)² = a² - 2ab + b²

  (√2 -3√5)² = (√2)² - 2(√2)(3√5) + (3√5)²

  = 2 - 6√10 + 3²(5)

  = 47 -6√10

__

Check

  √2-3√5 ≈ -5.29399 . . . . . . . . note that a negative value for side length makes no sense, so this isn't about geometry, it's about binomials and radicals

  (√2-3√5)² ≈ 28.02633

  47 -6√10 ≈ 28.02633

Answer:

3, 20, 2, and 2.5

Step-by-step explanation:

For each question, they gave you an x and y value. If you substitute them into the equation and then solve for k, you get your answer.

On the first one, x is 12 and y is 1/4. If you put those into the equation they gave you y = k/x, you get 1/4 = k/12

3/12 is 1/4 so the first k is 3.

Second one y = k/x. x is 4 and is 5. So 5 = k/4

20/4 is 5, so the second k is 20.

Answer:

It is a rational.

Step-by-step explanation:

0.25² = 0.0625

It is a rational.

Answer:

area of circle=π[tex]r^{2}[/tex]

=3.14*(6)^2

=3.14*36

=113.04 cm^2

perimeter of circle=2πr

=2*3.14*6

=37.68 cm

Step-by-step explanation:

Answer:

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Step-by-step explanation:

Answer:

y= -5/2x + 3/2

Step-by-step explanation:

(3,-6). y=mx+b or -6=-5/2 × 3+b, or solving for b: b=-6-(-5/2)(3). b=3/2.

(-1,4). y=mx+b or 4=-5/2 × -1+b, or solving for b: b=4-(-5/2)(-1). b=3/2.

Plugging in the two points, hence y= -5/2x + 3/2

Answer:

[tex]Total = 11\frac{1}{8}\ cups[/tex]

Step-by-step explanation:

Given

See attachment for plot

Required

Total number of cups used

The number of dot on each dataset represent the number of student

So, to get the total number of cups, we simply add the product of the number of cups and the number of student for each data item

So, we have:

[tex]Total = \frac{1}{8} * 6 + \frac{1}{4} * 5 + \frac{3}{8} * 2 + \frac{1}{2}*0 + \frac{5}{8} * 4 + \frac{3}{4} * 2 + \frac{7}{8} * 5[/tex]

[tex]Total = \frac{6}{8} + \frac{5}{4} + \frac{6}{8} + 0+ \frac{20}{8} + \frac{6}{4} + \frac{35}{8}[/tex]

Solve

[tex]Total = \frac{6+10+6+0+20+12+35}{8}[/tex]

[tex]Total = \frac{89}{8}[/tex]

[tex]Total = 11\frac{1}{8}\ cups[/tex]

Answer:

Second.

Step-by-step explanation:

A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.

Answer:

Q1: 18 degrees

Q2: 60 sides

Step-by-step explanation:

The sum of the exterior angles is always 360 degrees. With this, do 360/20 to get the amount of sides that are within the shape.

360/20  --> 18 degrees.

Now with the interior angles, it can be found with the equation ((n-2) * 180 degrees) / n = Angle Given. With this, plug 174 degres into your equation.

(n-2) * 180 degrees) / n = Angle Given

(n-2) * 180 degrees) / n = 174

180n -360 / n = 174

180n -360 / 174n

360 = 6n

n = 60

It would be 60 sides.

Answer:

a quantity calculated to indicate the extent of deviation for a group as a whole.

Step-by-step explanation:

t1ts

Answer:

D

Step-by-step explanation:

Answer:The correct answer is 75.6

Step-by-step explanation:

because i took the quiz myself