If a=2b^3 and b= -1/2c ^-2,express a in terms of c.

Answer: 18 months or a year and a half

Step-by-step explanation:

2.5 centimeters every 2 months, so...

1.25 centimeters every month.

22.5 ÷ 1.25 = 18

So it will take 18 months to grow 22.5 centimeters of hair

Answer:

In mathematics, compatible numbers are the numbers that are easy to add, subtract, multiply, or divide mentally...For instance, if we have to add 493 and 549, we can make the numbers compatible by rounding them up to the nearest tens or hundreds.

SO YES! :)

Answer:

y = - 17

Step-by-step explanation:

[tex]y = 1 - 2x[/tex]

When x = 9

[tex]y = 1 - 2(9)[/tex]

[tex]y = 1 - 18[/tex]

[tex]y = - 17[/tex]

Therefore, given equation y = 1 - 2x; when x = 9, y = - 17

Answer:

The function in the fourth option will have an axis of symmetry at x = 3.

Step-by-step explanation:

We have to choose the function from options, the graph of which has an axis of symmetry at x = 3.

The function in the fourth option will have an axis of symmetry at x = 3.

It is f(x) = x2 – 6x – 1 On a coordinate plane, a parabola opens up. It goes through (0, negative 1), has a vertex at (3, negative 10), and goes through (6, 0). (Answer)

Answer:

D

Step-by-step explanation:

The original price is $450.

Step-by-step explanation:

Step 1:

Given details, Discount%, D% = 30 and Selling Price, SP = $315

Step 2:

Write down formula for calculating the Original Price

Selling Price (SP) = Original Price (OP) - Discount (D)

Discount (D) = Original Price (OP) * (D%/100)

Step 3:

Substitute given values in the formula

315 = OP - D

D = [tex]OP \times30/100[/tex]

D = 0.3 OP

Step 4:

Substitute value of D in the first formula

315 = OP - 0.3 OP

315 = OP (1 - 0.3) = 0.7 OP

Original Price, OP = 315/0.7 = $450

Answer:

7.25

Explanation:

14.5×½=7.25

Answer:

30

Step-by-step explanation:

a right angle is 90 degrees so if it split into two parts and one is 30 degrees and the other is x (an unknown) you could do 90-30 to get 60 but since it is 2x but has to equal 60 it is going to be 30 because 30 times 2 is 60

Answer:

The answer is 30

Step-by-step explanation:

hope this helps!

Answer:-12+6y

Step-by-step explanation:

Since the 12 is a negative and the 6y is a positive you can switch it around.

The expression 6y - 12 is equivalent to 6(y - 2). This can be verified by expanding the factored form, which results in the original expression.

This expression  can be factored to find an equivalent expression. Factoring out the greatest common factor (GCF) from both terms, we get:

Thus, the expression 6y - 12 is equivalent to 6(y - 2).

Answer:

We are given the table as:

x    f(x)

0     6

2      7

4      0

7      5

i.e. corresponding to different values of x we are given the values of f(x)

we have to find the value of f(0)

i.e. we have to find the value of f(x) when x=0

As we can see from the table the value of f(x) at x=0 is 6

Hence, Correct option is:

C) 6

Have a Great day!

Answer:

c

Step-by-step explanation:

Answer:

Weekly allowance $4

Step-by-step explanation:

Fred ended with $11. So, subtract $9 from washing the car.

$11 - $9 = $2

$2 Is the amount of weekly allowance Fred hasn't spent yet. However, at the beginning of the week, Fred used half his allowance. This means $2 was what was left. So,

$2 × 2 = $4

meaning Fred had $4 in allowance at the beginning of the week.

Answer:

6

Step-by-step explanation:

5 1/2

(5×2+1)/2

11/2

5.5

6 ( nearest whole number)

Therefore the inequality is x≤11

and maximum I can withdraw 11 bills.

Step-by-step explanation:

Given ,

Current balance $320

Minimum balance $100

I could spent =$(320-100) = $220

Let the number of bills be x.

Total amount of x bills = $20x

According to the problem,

20x≤ 220

⇔x ≤ [tex]\frac{220}{20}[/tex]

⇔x≤11

Therefore the inequality is x≤11

and maximum I can withdraw 11 bills.

Answer: 42%

Step-by-step explanation:

Add 0.16 and 0.26, you get 0.42. Covert 0.42 into percentage and you get 42%

Answer:

it is D. $9.50

Step-by-step explanation:

Answer: The answer is (D) $9.50/9.50 dollars

Final answer:

To determine the number of charms for the bracelet to cost the same at both jewelry shops, we set up a system of equations and solved it using substitution. We found that Hana will need to add 2 charms, resulting in a total cost of $96 for the bracelet at either shop.

Explanation:

To determine the number of charms Hana can add to her bracelet such that the cost is the same at Dayton Fine Jewelry and Cain Jewelers, we need to set up a system of equations and solve using the substitution method.

System of Equations:

Let x represent the number of charms and y represent the total cost of the bracelet with charms.

Equation for Dayton Fine Jewelry: y = 17x + 62

Equation for Cain Jewelers: y = 18x + 60

Solution Using Substitution:

Hana will need to add 2 charms to her bracelet, and the total cost of the bracelet will be $96 at either jewelry shop.

When there's no number in front of a variable, that means it has a coefficient of 1.

So the coefficient is 1. Hope that makes sense.

The coefficient of the c-term of the algebraic expression 14a - 72r - c - 34d is -1.

It is defined as the combination of constants and variables with mathematical operators.

We have an algebraic expression:

= 14a - 72r - c - 34d

From the above equation, the coefficient of the c term is:

= -1

Thus, the coefficient of the c-term of the algebraic expression 14a - 72r - c - 34d is -1.

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Answer:

32.24 gallons

Step-by-step explanation:

From the question,Jed’s shower head releases

6.2 gallons = 1 minute

x gallon = 5 mins 12 secs

First convert 12 secs to minutes and add it to 5 mins .

1 minute = 60secs

x minute = 12 secs

x = 12/60

= 0.2 mins + 5 mins

= 5.2 mins

Therefore,

6.2 gallons = 1 minute

x gallons = 5.2 mins

Cross multiply

x = 6.2 x 5.2 /1

= 32.24/1

= 32.24 gallons

First, we need to find out how many siblings the students have in total and how many siblings the teachers have in total.

The students: (1 x 4) = 4 + (2 x 7) = 18 + (3 x 5) = 33 + (4 x 2) = 41. The students have a total of 41 siblings.

The teachers: (1 x 3) = 3 + (2 x 2) = 7 + (3 x 4) = 19 + (4 x 5) = 39 + (5 x 3) = 54 + (6 x 1) = 60 + (8 x 1) = 68. The teachers have a total of 68 siblings.

Now that we have this information, we know that the answer is option 1, the students tend to have fewer siblings than the teachers. This is because the students had a total of 41 siblings and the teachers had a total of 68 siblings, and 41 is less than 68 so the students have fewer siblings than the teachers.

I really hope I could help! I put a lot of work into this answer! :D

Yo sup??

m3 and m6 for a supplementary pair therefore

m3+m6=180

122+m6=180

m6=58

Hope this helps

The required measure of the angle m∠6 is given as 58 degrees. Option B is correct.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
For the bisection of parallel line by transversal line,
Corresponding angles always have an equal measure,
So, ∠2 = ∠6

Now,
∠2 + ∠3 = 180

∠6 + 122 = 180
∠6 = 58°

Thus, the required measure of the angle m∠6 is given as 58 degrees. Option B is correct.

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The area of the triangle is (5/12)x²

Step-by-step explanation:

Substitute b=(5/6)x and h=x

Area = 1/2[tex]\times[/tex](5/6)x(x)

Area of triangle = (5/12)x²

Answer:

$929.60

Step-by-step explanation:

step 1

Find the area of Lauren's bedroom

Remember that the area of a rectangle is equal to

[tex]A=LW[/tex]

so

[tex]A=(18)(12)=216\ ft^2[/tex]

step 2

Find the area of closet

Remember that the area of a rectangle is equal to

[tex]A=LW[/tex]

so

[tex]A=(2)(4)=8\ ft^2[/tex]

step 3

Find the total area

Adds the areas

[tex]216+8=224\ ft^2[/tex]

step 4

Find the cost

Multiply the total area by the cost per square feet

so

[tex]224(4.15)=\$929.60[/tex]

Final answer:

The cost to carpet Lauren's bedroom including her closet is found by calculating the total area and then multiplying by the carpet's cost per square foot. The total area is 224 square feet and with a carpet cost of $4.15 per square foot, the total cost is $930.40.

Explanation:

To calculate the cost to carpet Lauren's room and closet, we must first determine the total area that needs to be carpeted. We already know that the room measures 18 feet by 12 feet. Taking the square footage of the room, we perform a multiplication: 18 ft  imes 12 ft = 216 square feet.

Next, we calculate the area of the closet separately, which measures 2 feet by 4 feet. The calculation would be 2 ft  imes 4 ft = 8 square feet. Now, we add the area of the room and the closet to get the combined area: 216 sq ft + 8 sq ft = 224 square feet.

Lastly, we find the cost to carpet this combined area. The carpet costs $4.15 per square foot, therefore, we multiply the total area by the cost per square foot: 224 sq ft  imes $4.15/sq ft = $930.40. So, the total cost to carpet Lauren's room and closet will be $930.40.

Answer: The other answer is wrong. The answer would be about 50 miles per hour or 49.99 mph.

Step-by-step explanation:

The required approximate speed of the car when the skid mark is 10204 feet long is 49.99 miles per hour.

Given that,
The function S(D) =(7/2) √2D can be used to approximate the speed S, in miles per hour, of a car that has left skid marks of length D, in feet, how fast would a car have been traveling if it left a skid mark that is 102.04 feet long is to be determined.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Given the function of speed,
S(D) =(7/2) √(2D)
Substitute the value of D = 102.04
S(102.04) = (7/2)√(2*102.04)
S(102.04) = 49.99

Thus, the required approximate speed of the car when the skid mark is 10204 feet long is 49.99 miles per hour.

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Answer:

Step-by-step explanation:

4 - 2b = 2

collect terms

4 - 2 = 2b

2 = 2b

divide both side by 2

2/2 = 2b/2

b = 1

8th term is 0.30

Step-by-step explanation:

⇒ r = a2/a1 = 216/648 = 1/3

⇒ 8th term =  648 × (1/3)^8-1 = 648 × (1/3)^7 = 648/2187 = 0.30

Answer:

9/2

Step-by-step explanation:

Slope of line=rise/run=

y2-y1/x2-x1

Where

x1=2

x2=0

y1=5

y2= -4

Slope =(-4-5)/(0-2)

Slope=-9/-2

Slope=9/2

Answer:

look at the picture shown

The expression 3(4x+7)−4(12x−15) simplifies to -36x + 81. First distribute the constants to the terms inside the parentheses, then combine like terms.

In mathematics, to simplify an algebraic expression like 3(4x+7)−4(12x−15), you need to perform the operations in a certain order, respecting the laws of arithmetic. This is often referred to as simplifying the expression using the distributive property.

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y

=

−

(

x

−

2

)

2

+

16

is the vertex form

Explanation:

The vertex form of a quadratic function is given by

y

=

a

(

x

−

h

)

2

+

k

where (h, k) is the vertex of the parabola.

when written in vertex form

(h, k) is the vertex of the parabola and x = h is the axis of symmetry

the h represents a horizontal shift (how far left, or right the graph has shifted from x = 0)

the k represents a vertical shift (how far up, or down the graph has shifted from y = 0)

Now let convert this  

y

=

−

x

2

+

4

x

+

12

into vertex form

y

=

−

x

2

+

4

x

+

12

y

−

12

=

−

x

2

+

4

x

y

−

12

=

−

(

x

2

−

4

x

)

y

−

12

=

−

(

x

2

−

4

x

+

4

−

4

)

y

−

12

=

−

(

x

2

−

4

x

+

4

)

+

4

y

−

16

=

−

(

x

2

−

4

x

+

4

)

y

−

16

=

−

(

x

−

2

)

2

y

=

−

(

x

−

2

)

2

+

16

is the vertex form

show the vertex in the figure below

graph{-x^2+4x+12 [-10.06, 15.25, 6.58, 19.25]}   Hope iam right

The function f(x) = x² - 4x - 12 in vertex form is f(x) = (x - 2)² - 16, and the axis of symmetry is x = 2.

To rewrite the function f(x) = x² - 4x - 12 in vertex form and find the axis of symmetry, we need to complete the square. The general vertex form of a quadratic is f(x) = a(x - h)² + k, where (h, k) is the vertex, and the line x = h is the axis of symmetry.

The first step is to factor the coefficient of x², which is 1 in this case, so we can leave it as is. The next step is to rearrange the equation as x² - 4x and then add and subtract the square of half the coefficient of x, which is (4/2)² = 4. Adding and subtracting 4 inside the parentheses gives us:

f(x) = (x² - 4x + 4) - 4 - 12

Now we can rewrite this as:

f(x) = (x - 2)² - 16

This equation is in vertex form, with the vertex at (2, -16), and the axis of symmetry is the line x = 2.

Therefore, the correct option is f(x) = (x - 2)² - 16, with the axis of symmetry being x = 2.

Answer:

x = -3

y = 7

Step-by-step explanation:

Answer:

The answer is 28.27