Which of the following functions represents the values in the table below?
x 0 2 4 6
f(x) 2 10 66 218
a f(x) = -3x - 2x 2
b f(x) =x^3/2
c f(x) = 2 + x 3
d f(x) = 3x - 2

Answer:

Step-by-step explanation:

For the first bag:

Price of the bag = $12

Number of balls in the bag = 15

Price per ball = Price of the bag / Number of balls

Price per ball for the first bag = $12 / 15 = $0.8

For the second bag:

Price of the bag = $15

Number of balls in the bag = 20

Price per ball = Price of the bag / Number of balls

Price per ball for the second bag = $15 / 20 = $0.75

Comparing the prices per ball, we find that the second bag has a lower price per baseball. Therefore, the second bag offers a better price for individual baseballs compared to the first bag.

Answer:

Step-by-step explanation:

To find out which bag prices individual baseballs lower, we can divide the total cost of each bag by the number of balls in the bag. This will give us the price per ball for each bag.

For the first bag, the price per ball is $12 / 15 = $0.80.

For the second bag, the price per ball is $15 / 20 = $0.75.

Therefore, the second bag prices individual baseballs lower.

Answer: The answer is h=-6, k=-30

Step-by-step explanation:

d on edg

Answer:

0,012

Step-by-step explanation:

12 grams is 0.012 kilograms.

Hope this helps; have a great day!

The total value of the loan with quarterly compounded interest is approximately $45,288.38, while the total value of the loan with monthly compounded interest is approximately $45,634.84. The difference in total interest accrued is approximately $346.46.

Part A: To determine the total value of the loan with quarterly compounded interest, we can use the formula for compound interest:

A = P(1 + r/n)^(nt),

where:

A is the total value of the loan,

P is the principal amount (initial loan amount),

r is the interest rate (in decimal form),

n is the number of times interest is compounded per year,

and t is the number of years.

Given:

P = $20,000,

r = 9% or 0.09,

n = 4 (quarterly compounding),

t = 10 years.

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/4)^(4*10).

Calculating this value, we find:

A ≈ $45,288.38.

Therefore, the total value of the loan with quarterly compounded interest is approximately $45,288.38.

Part B: To determine the total value of the loan with monthly compounded interest, we follow the same formula but with a different value for n:

n = 12 (monthly compounding).

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/12)^(12*10).

Calculating this value, we find:

A ≈ $45,634.84.

Therefore, the total value of the loan with monthly compounded interest is approximately $45,634.84.

Part C: The difference between the total interest accrued on each loan can be calculated by subtracting the principal amount from the total value of each loan.

For the loan with quarterly compounding:

Total interest = Total value - Principal

Total interest = $45,288.38 - $20,000

Total interest ≈ $25,288.38.

For the loan with monthly compounding:

Total interest = Total value - Principal

Total interest = $45,634.84 - $20,000

Total interest ≈ $25,634.84.

The difference between the total interest accrued on each loan is approximately $346.46.

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To find the measure of the geometry-big circle, we need to sum up the measures of all the arcs around the circle.

We are given the following measures:

\(\sf\:m\angle AB = 56 \\\)

\(\sf\:m\angle BC = 59 \\\)

\(\sf\:m\angle CD = 63 \\\)

\(\sf\:m\angle DE = 63 \\\)

\(\sf\:m\angle EF = 31 \\\)

To find the measure of the geometry-big circle, we add up these measures:

\(\sf\:m\angle AB + m\angle BC + m\angle CD + m\angle DE + m\angle EF \\\)

Substituting the given values:

\(\sf\:56 + 59 + 63 + 63 + 31 \\\)

Simplifying the expression:

\(\sf\:272 \\\)

Therefore, the measure of the geometry-big circle is 272.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer: A, 4.75

Step-by-step explanation: To find the mean, we add all the numbers and then we divide that by the amount of numbers we are given

2 + 4 + 5 + 6 + 8 + 2 + 5 + 6 = 38 / 8 = 4.75

Hope this helps :)

Step-by-step explanation:

Find slope

m = (y2 - y1)/(x2 - x1)

m = (-9 - 5)/(4 - 8)

m = -14/-4

m = 7/2

Slope → 7/2

Answer:

b. false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

A P E X

Answer:

0.0

Step-by-step explanation:

To find 0.007 divided by 0.498, we can perform the following calculation:

0.007 / 0.498 ≈ 0.0141

Rounding this to the nearest tenth gives:

0.0141 ≈ 0.0

Therefore, the result, rounded to the nearest tenth, is 0.0.

Answer:

69.53 or 70(depending on rounding)

Step-by-step explanation:

The squares area is (9*2)^2 which is 324.

The circles area is 9^2 pi or 254.47 approx.

Subtract and you get 69.53 or 70

Answer:

42

Step-by-step explanation:

Method 1

100 - 25 = 75            subtract the percent off from 100

31.50 × 100 = 3150   multiply the new price to 100

3150 ÷ 75                  divide the results

$42

Method 2

New price = (1 ± r) original price

r = 25% = 0.25                    percent off

$31.50 = (1 - 0.25)x             subtract

$31.50 = 0.75x                   divide both sides by 0.75

\(\frac{31.50}{0.75}=\frac{0.75x}{0.75}\)

42

She made

in sales. Then, she earned

$371.25 that week.

so, we know the diameter is 8, so that means its radius is half that, or 4.

\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=4\\ \theta =45 \end{cases}\implies A=\cfrac{(45)\pi (4)^2}{360}\implies A=2\pi ~ft^2\)

The coordinates of the endpoints after the transformation is (c) (7, 3) and (1, 5)

From the question, we have the following parameters that can be used in our computation:

Segment with endpoints at (1, 5) and (7, 3)

Also from the question, we have:

The points are reflected the segment about a vertical line through the segment’s own midpoint

When this is done, this means that the points would swap positions

So, we have the following representations

(1, 5) and (7, 3) ⇒ (7, 3) and (1, 5)

Hence, the coordinates of the endpoints is (c) (7, 3) and (1, 5)

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The argument  using the components of the non zero vectors which are not parallel are as follow, sa1 + tb1 = c1

sa2 + tb2 = c2

sa3 + tb3 = c3

Geometric argument,

a and b are nonzero vectors that are not parallel.

A plane in three-dimensional space.

Any vector in this plane can be written as a linear combination of a and b.

Let c be any vector in this plane.

Construct a parallelogram with sides a and b, and the diagonal of the parallelogram passing through the point c.

This diagonal is the vector c written as a linear combination of a and b, say c = sa + tb for some scalars s and t.

Diagonal of a parallelogram bisects and is bisected by its opposite sides.

c lies on the line passing through the midpoints of a and b.

c can be expressed as a linear combination of a and b.

Argument using components,

a and b are nonzero vectors that are not parallel, they are linearly independent.

Any vector in the plane determined by a and b can be expressed as a linear combination of a and b.

Let c = (c1, c2, c3) be any vector in this plane.

Now, c as c = sa + tb, where s and t are scalars to be determined.

Writing a and b in terms of their components, we have,

a = (a1, a2, a3) and b = (b1, b2, b3)

Then, we can write c as,

c = (s a1 + t b1, s a2 + t b2, s a3 + t b3)

Values of s and t such that c has the components (c1, c2, c3).

Equating the components of c with those of (c1, c2, c3), to get the system of equations,

sa1 + tb1 = c1

sa2 + tb2 = c2

sa3 + tb3 = c3

Therefore, solution of the argument of non zero vectors solved using standard techniques such as Gaussian elimination or Cramer's rule.

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The above question is incomplete, I answer the question in general according to my knowledge:

Suppose that a and b are nonzero vectors that are not parallel and c is any vector in the plane determined by a and b. Give a geometric argument to show that c can be written as c=sa +tb for suitable scalars s and t. Then give an argument using components.

Step-by-step explanation:

(w - 3)×2 >= -19

or

2×(w - 3) >= -19

as multiplication is commutative.

Answer:

D. 20 inches

Step-by-step explanation:

Area = length * width

20 * 20 = 400 square inches

20 inches

Answer:

F(-x) = 0

Step-by-step explanation:

What is F(-x)?

F(-x) = F(-1)

F(x) = x³ + 1                              F(-1)

F(-1) = -1³ + 1

F(-1) = -1 + 1

F(-1) = 0

So, F(-x) = 0

Answer:

f(-1) = 0

Step-by-step explanation:

Evaluating a function for f(-x) is the same as evaluating it for f(-1).

So we plug in -1 instead.

f(-1) = x³ + 1  

      = (-1)³ + 1 (here we cube -1)

      = -1 + 1     (here we subtract)

      = 0           (and, this is the answer)

\(\therefore\) The answer is f(-1) = 0

Answer:

90cm2

Step-by-step explanation:

i have worked it in the picture

hope you will understand

Answer:

80 in^2

Step-by-step explanation:

Surface area = sum of all the faces of a 3d figure

SA = 2(lw + hw + hl)   l=length w=width h=length

(This is technically finding the area of all the faces and adding them up)

2(4 x 3 + 4 x 3 + 4 x 4)

2(12 + 12 + 16)

24 + 24 + 32

48 + 32

80 in^2

have a great day! :D

Answer:

80

Step-by-step explanation:

A=2(wl+hl+hw)=2·(4·3+4·3+4·4)=80

Answer:

a) rational numbers

**the completed number lines are attached**

Step-by-step explanation:

a) The numbers in set 1 are all rational numbers as they can all be written in the form \(\dfrac{p}{q}\) where q ≠ 0.

\(4.2 =\dfrac{21}{5}\)

\(1.6=\dfrac85\)

\(1.05=\dfrac{21}{20}\)

\(0.8=\dfrac45\)

Let's check them if they obeys rationality

Yes they do

So they belongs to set of rational numbers i.e Q

Answer: the Second one

Step-by-step explanation:

Hope this helps you

Answer: C

Step-by-step explanation:

For box and whiskers plot the box is where the majority of the data is.  the whiskers(the lines on both sides will tell you where the range of numbers lie)

The middle line in the box is the median number.

The question is worded oddly where they want least likely to be more than 30 which means which one will have less than 30. (Double negative question)

You want the majority of the data to be less than 30, which is subway.  C

Answer:

p = 8

Step-by-step explanation:

Divide -5 to both sides

-5p = -40

5p = 40

p = 8

So p = 8

To round a number to the nearest ten thousand we have to look at the thousands place. In the case of 182,650, there is a 2 in the thousands place. Given that 2 is less than 5, then we have to conserve the number at the ten thousands place. The result is 180,000

Answer:

No

Step-by-step explanation:

5(3x-10)-12x

15x-50-12x

15x-12x-50

3x-50

Step-by-step explanation:

again ?

out of the total of 70°, 30° are taken by the first angle.

so, that leaves 70 - 30 = 40° for the second angle.

q = 40°

is there still something unclear about this ? please let me know.

The correct option is A. 0.156. The number (1.092×10¹) is 156 times larger than number (7×10⁻¹).

For the given number;

The number 1.092×10¹ can be written as; 10.92 after multiplication with 10.

Similarly, the number 7×10⁻¹ can be written as 0.7 after diving with 10.

Now, divide larger number by 0.7

=  10.92/0.7

= 156

Thus, the number 1.092×10¹ is almost 156 time greater than (7×10⁻¹).

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