What's the circumference
of a
circle with a diameter of 20
inches? Use 3.14 for .
C = [?] inches
Round to the nearest hundredth, if necessary.
Hint: C = πd
Enter

Answer:

3:7

Step-by-step explanation:

thats the ratio simplified

Answer:

12:16

Step-by-step explanation:

Answer: If Jamie is selling bags of carrots for $5 each and already has $30 what would he use to calculate how much money he made.

Answer:

The correct answer is - 625.36.

Step-by-step explanation:

Given:

Fixed mothly plan - 616

free minutes - 150

Used minutes - 170

Free text - 150

Used text - 182

Charging amount over free limit - 18p

Solution:

Number of minutes over the limit -  170 - 150 = 20

Number of text over the limit - 182 - 150 = 32

So the extra amount that will be add to the monthly charge would be -

(20*0.18) +(32*0.18)

and the total charge of the month would be -

= 616+(20*0.18) +(32*0.18)

= 616+3.60+5.76

= 625.36

Thus, the correct answer would be - 625.36

Answer:

Step-by-step explanation

In the form ax^2+bx+c

a x c should equal two factors of b

However, in this equation

1 x 19 has no factors that = 10

so you must use the Quadratic Formula which is,

x = \(\frac{-b+-\sqrt{b^2-4ac} }{2a} \)

so the answer should be

x = \(\frac{-10+-\sqrt{10^2-4(1)(19)} }{2(1)} \)

x = \(\frac{-10+-\sqrt{24} }{2} \)

x = \(\frac{-10+2\sqrt{6} }{2} \)      and    x = \(\frac{-10-2\sqrt{6} }{2} \)

Solve the quadratic equation by completing the square: x²+10x+19=0

Form: \((x+5)^2=6\)

Solutions: \(x=-5+\sqrt{6} , -5-\sqrt{6}\)

Step-by-step explanation below with work↓

First, you are going to have to bring the 19 to the other side. When you bring a number to another side their sign changes. In this case, 19 becomes -19. Leave a space though after the 10x as you are going to be inserting something later

.\(x^2+10x+19=0\\\\x^2+10x=-19\)

Second, you are going to find what half of 10 in 10x is. In this case, it is 5, after you are going to square the 5 to get 25. Keep in mind the 5 as it is going to help when we factor later.

\(\frac{1}{2} (10)=5\\\\5^2=25\)

Third, we are going to add 25 to both sides.

\(x^2+10x+25=-19(+25)\\\\x^2+10x+25=6\)

Fourth, we need to factor out the equation. Remember the 5? This is where it comes into place, 5 squared is 25. Then we need to get rid of the power of 2, by that we square root but whatever we do to the left we do to the right so we end up square rooting both sides. A square root cancels out the power of two making it disappear. To the 6 you have to add the plus or minus sign also. This is the plus or minus symbol ±.

\(x^2+10x+25=6\\\\(x+5)^2=6\\\\\sqrt{(x+5)^2} =\sqrt{6\\}\\\\ x+5=+-\sqrt{6}\)

Fifth, you cannot break down the 6 further so you are going to leave it alone. If we were able to break down the 6 further they would have to be divided perfectly by a perfect square. Then we have to isolate the x, to do that we bring over the 5, and its sign changes making it -5.

\(x+5=+-\sqrt{6} \\x=-5+-\sqrt{6}\)

Sixth, since the answer is x = -5±√6 you are going to have two solutions.

\(x= -5+\sqrt{6} , -5-\sqrt{6}\)

The best example of a representative sample include the following: B. A sample of 10 cards that includes 1 heart, 1 club, 1 spade, 1 diamond, and the other 6 cards can be of any suit.

In Science, a population can be defined as a set of similar items or events that comprises every member of a group and from which a researcher, scientist, or experimenter, obtains or generates data for a statistical study such as a deck of cards with 13 cards of each categories.

In Statistics and science, a sample can be defined as a set of data that is collected from a population based on a well-defined sampling procedure.

In this context, we can reasonably infer and logically deduce that a representative sample should reflect all of the proportions for the entire population that was sampled.

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Answer:

8:11

Step-by-step explanation:

There are 8 daisies and it is the ratio to flowers, not roses so there are 11 flowers, 8+3=11 so 8:11

Answer:

A: The expression is a trinomial with a degree of 4.

Step-by-step explanation:

The expression has three parts, so it's a tronomial.

The largest exponent is 4, so it has a degree of 4.  

Answer:

Yea he is right it is a

Step-by-step explanation:

The cone that has the greatest volume is cone C

The given parameters in the question are

Cone A

Height = 10 cm

Diameter = 4 cm

Cone B

Height = 20 cm

Diameter = 4 cm

Cone C

Height = 10 cm

Diameter = 8 cm

The volume of a cone can be calculated using the following volume equation

Volume of a cone = 1/3π(d/2)²h

Where

h = height of the cone

r = radius of the cone

d = diameter of the cone

Using the above equations, we have the following computations

Volume of a cone A = 1/3π * (4/2)² * 10

Volume of a cone A = 40/3π

Volume of a cone B = 1/3π * (4/2)² * 20

Volume of a cone B = 80/3π

Volume of a cone C = 1/3π * (8/2)² * 10

Volume of a cone C = 160/3π

We can see that 160/3π is greater than 40/3π and 80/3π

Hence, cone C has the highest volume

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Answer:

2102

Step-by-step explanation:

The polynomial function P(x)=x^5-8x^3-x^2+2, if it is divided by x-5, first we need to get x from the divisor as shown

since d(x) = x-5

x-5 = 0

x = 5

Substitute x = 5 into the expression to get the remainder

P(x)=x^5-8x^3-x^2+2

P(5)=(5)^5-8(5)^3-(5)^2+2

P(5) = 3125-1000-25+2

p(5) = 2100+2

P(5) = 2102

Hence the remainder is 2102

Answer:

a. \(f^-^1(x)=\frac{x}{4} +3\)

b. \(f(-9)=-48\)

c. \(f^-^1(-9)=\frac{3}{4}\)

Step-by-step explanation:

In a, the -1 means inverse of f(x). To find the inverse, you rewrite the equation in terms of x and y. You replace the x with y and y with x. Then you solve for y.

\(f^-^1(x)=4x-12\)

\(y=4x-12\)

\(x=4y-12\)

\(x+12=4y\)

\(\frac{x}{4} +3=y\)

\(f^-^1(x)=\frac{x}{4} +3\)

In b, all you have to do is plug in -9 into f(x).

\(f(9)=4(9)-12\)

\(f(9)=-48\)

In c, you plug in -9 into inverse function f.

\(f^-^1(-9)=\frac{3}{4}\)

The trigonometric equations has the following solutions: x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

In this problem we find the case of a trigonometric equation, whose solutions on the interval [0, 2π] must be found. This can be done by both algebra properties and trigonometric formulae. First, write the entire expression:

tan² x · sec² x + 2 · sec² x - tan² x = 2

Second, use trigonometric formulas to reduce the number of trigonometric functions:

tan² x · (tan² x + 1) + 2 · (tan² x + 1) - tan² x = 2

Third, expand the equation:

tan⁴ x + tan² x + 2 · tan² x + 2 - tan² x = 2

tan⁴ x + 2 · tan² x = 0

Fourth, factor the expression:

tan² x · (tan² x - 2) = 0

tan² x = 0 or tan² x = 2

tan x = 0 or tan x = ± √2

Fifth, determine the solutions to trigonometric equation:

x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

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Answer:

Step-by-step explanation:

If Nancy wants to leave a foot of exposed floor on each edge of the rug, then the length and width of the rug will be 10 feet by 12 feet, respectively. This is because she wants to cover the floor space that is 10 feet by 12 feet, leaving one foot of exposed floor on each side. Therefore, the area of the rug in square feet will be:

Area of rug = Length × Width

Area of rug = 10 ft × 12 ft

Area of rug = 120 sq ft

So Nancy will need to buy a rug with an area of 120 square feet for her living room.

The answer is A, rhombus.

Answer:

2,100

Step-by-step explanation:

first you want divide 140 by 20 to find the the amount of calories per cracker so 140 divided by 20 is 7 then all you need to do is multiply 7 time the 300 crackers to get you total of 2,100.

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

Hope it helps! 0.0

Answer:

Triangle = 34

A = ½ (b × h)

Parallelogram = 63

A = b × h

Trapezoid = 24

A= (a+b)/2 x h

The one with the greatest area is Parallelogram (63)

Brainliest? pls

Answer:

x = 16

Step-by-step explanation:

Opposite sides are equal in a parallelogram

AD = BC

5x - 12 = 3x + 20

5x - 3x = 20 + 12

2x = 32

x = 32/2

x = 16

There are a few possibilities:

The second term refers to the idea of simplifying a claim down to an impossible absurd one.

Answer:

143/220= 0.65 so 65%

Step-by-step explanation:

Answer:

65%

Step-by-step explanation:

Cross, multiply and divide method has saved my life with these problems, heres how to do it.

Set up like this:

143 x

------- = -------

220 100

Multiply 143 by 100, then divide that by 220.

x= 65, so she has read 65%

Answer:

Well, the smallest successive composites with gap 17, 73, 2, and 19 would have to be:

1. $341 = 11 \times 31$

2. $458 = 2 \times 299$

3. $460 = 2^2 \times 5 \times 23$

4. $479 = 13 \times 37$

Answer:

I think 5.4

Step-by-step explanation:

Take it and divide by the number of sides

The Perimeter of rectangle is 27.4 m

The area of rectangle is product of its length to tis width.

So, Area of rectangle = length  x width

Given:

Area of the flower bed = 20.4 square meters.

length = 12 m

As a rectangle, its area be

A = l x w

20.4 = 12 w

w= 20.4/ 12

w= 1.7

Now, Perimeter of rectangle

= 2( l + w)

= 2( 12+ 1.7)

= 27.4 m

Hence, the Perimeter of rectangle is 27.4 m

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Answer: 8.24%

Step-by-step explanation:

To calculate the annual percentage rate (APR) and the effective annual rate of interest on Aruna's investment, we need to know the following information:

The initial investment amount (Rs 150,000)

The final investment amount (Rs 168,925)

The time period of the investment (18 months)

The frequency of interest payments (every 3 months)

The interest earned on the investment is the difference between the final investment amount and the initial investment amount. In this case, the interest earned is:

Rs 168,925 - Rs 150,000 = Rs 18,925.

Calculate the interest rate per period: To find the interest rate per period, divide the interest earned by the initial investment amount and multiply by the number of periods per year. In this case, the interest rate per period is:

(Rs 18,925 / Rs 150,000) * (4 periods per year) = 0.08%.

Calculate the APR: The APR is the interest rate per period multiplied by the number of periods in the investment. In this case, the APR is:

0.08% * 18 months = 8%.

The effective annual rate of interest takes into account the compounding of interest over time. To calculate the effective annual rate of interest, we use the formula:

(1 + r/n)^n - 1, where r is the interest rate per period and n is the number of compounding periods per year.

In this case, the effective annual rate of interest is:

(1 + 0.08%/4)^4 - 1 = 8.24%.

So the annual percentage rate (APR) is 8% and the effective annual rate of interest is 8.24%

Answer:

$3.24

Step-by-step explanation:

Cost for the coffee + Cost for the bagel

$1.39 + $1.85

$3.24

Answer:

A

Step-by-step explanation:

A function assigns the value. The function on which the extreme value theorem can be applied is f(x)=x/(x-6)².

A function assigns the value of each element of one set to the other specific element of another set.

In a function for the extreme value theorem to be applicable, the function must be continue between the given interval.

The denominator of the first function will not continue when the value of x= 6, which is not in the interval [3,5). Therefore, the extreme value theorem is applicable.

To verify if the system will continue or not, you can plot the graph of the function, and look between the interval if the function continues or not. As shown below.

Hence, the function on which the extreme value theorem can be applied is f(x)=x/(x-6)².

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Answer:

2 and 7/12

Step-by-step explanation:

5/6 * (31/10)

=5/6 * (31/10)

=31/12

=2 7/12

HOPE THIS HELPS!!! <3333

-Silver

Answer:

B will get more $

Step-by-step explanation:

3000 annual rate 6% so half a year is 3%, compounding semiannually for 6 years =  12 times

so 3000*(1+3%)^12 =4277.28

$4000 invested for four years compounded quarterly at 2.7%. so every quater is 2.7%/4 =0.675%, compounding quarterly for 4 years =  16 times

so 4000*(1+0.675%)^16=4454.57

Answer:

Integer and Irrational Number

Step-by-step explanation:

Whole Numbers don't include fractions, Real numbers don't have sqrt in the btm and rational numbers don't inclue sqrt

Answer:rational number

Step-by-step explanation:

I did ot

Answer:

\(a_{n}\) = - 7n + 47

Step-by-step explanation:

there is a common difference between consecutive terms , that is

33 - 40 = 26 - 33 = - 7

this indicates the sequence is arithmetic with nth term

\(a_{n}\) = a₁ + d(n - 1)

where a₁ is the first term and d the common difference

here a₁ = 40 and d = - 7 , then

\(a_{n}\) = 40 - 7(n - 1) = 40 - 7n + 7 = - 7n + 47

The quadratic functions are: f(x) = 0.03x² for Design A and g(x) = 0.024x² for Design B.

A quadratic function is a type of polynomial function of the form f(x) = ax² + bx + c, where a, b, and c are constants and x is the variable. In a quadratic function, the highest power of the variable is 2.

The graph of a quadratic function is a parabola, which is a U-shaped curve that opens either upwards or downwards depending on the sign of the coefficient a. If a > 0, the parabola opens upwards, and if a < 0, the parabola opens downwards. The vertex of the parabola, which is the point where the curve changes direction, is given by the coordinates (-b/2a, f(-b/2a)).

Quadratic functions have a wide range of applications in various fields such as physics, engineering, economics, and finance. For example, they can be used to model the motion of projectiles, the trajectory of a rocket, the shape of a bridge arch, the optimization of business profits, and the behavior of financial markets.

Let's assume that each side of the cube has a length of x inches. Then, the surface area of the cube is 6x² square inches.

a. For Design A with a cost of $0.005 per square inch, the total cardboard cost can be calculated using the quadratic function:

f(x) = 0.005(6x²) = 0.03x²

b. For Design B with a cost of $0.004 per square inch, the total cardboard cost can be calculated using the quadratic function:

g(x) = 0.004(6x²) = 0.024x²

Therefore, the quadratic functions are:

f(x) = 0.03x² for Design A

g(x) = 0.024x² for Design B

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The complete question is:

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

Therefore, if 24 teaspoons of vegetable oil were used, we would need 16 teaspoons of vinegar to make the recipe correctly.

According to a salad recipe, each serving requires 6 teaspoons of vegetable oil and 9 teaspoons of vinegar. If 24 teaspoons of vegetable oil were used, we can determine the amount of vinegar needed for the recipe to be correct as follows:

First, we must determine the ratio of vinegar to oil in the recipe. To do this, we divide the amount of vinegar needed per serving (9 teaspoons) by the amount of oil needed per serving (6 teaspoons):

9 ÷ 6 = 1.5

This means that for every 1.5 teaspoons of oil used, we need 1 teaspoon of vinegar. Next, we use this ratio to determine the amount of vinegar needed when 24 teaspoons of oil are used:

1.5 ÷ 1 = 1.5

(teaspoons of oil per 1 teaspoon of vinegar)

24 ÷ 1.5 = 16

(teaspoons of vinegar needed)

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