The table below models a particular physical situation.

x −9 −3 4 10

y 9 1 −7 10


Find the piecewise linear equation that models the data above. Round to three decimal places if needed.
y={

___ x + ___. −9 ≤ x ≤ −3

___ x + ___. −3 < x ≤ 4

___ x + ___. 4 < x ≤ 10

By multiplying the two fractions we get 2 / 9, and by adding we get 1.

In arithmetic, a product is the result of multiplication or an expression that identifies elements to be improved.

In math, multiply the method to add equal corporations. Whilst we multiply, the range of factors in the institution will increase. the two factors and the product are parts of a multiplication problem. Within the multiplication trouble, 6 × 9 = 54, the numbers 6 and 9 are the factors, at the same time as the range 54 is the product.

Multiplication is defined as calculating the end result of repeated additions of two numbers. An instance of multiplication is 4 instances 2 equals 8.

By multiplying the two fractions,

= 3 / 9 * 6 / 9

= 2 / 9

By adding the two fractions,

= 3 / 9 + 6 / 9

= 9 / 9

= 1

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The segment lengths are given as follows:

The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

The theorem is expressed as follows:

c² = a² + b².

In which:

Considering the geometric mean theorem, the triangle has bases of 7 and 14 - 7 = 7, hence the altitude BD is given as follows:

BD² = 7 x 7

BD² = 7²

BD = 7.

The segment BC is the hypotenuse of a right triangle of two sides with length 7, hence:

(BC)² = 7² + 7²

\(BC = \sqrt{2 \times 49}\)

\(BC = 7\sqrt{2}\)

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Answer:

Step-by-step explanation:

50% of 366 is 183, therefore your answer is 366.

Answer:

A) The answer is D, 8a + 5

4a + 5 + 4a

we simplify this expression(combine like terms):

group them first;

(4a + 4a) + 5

8a + 5

B) 2c + 6 + 3c - 4

simplify this expression (combine like terms):

group them first;

(2c + 3c) + (6 - 4)

5c + 2

Answer:

1.\(8a+5\)
2.\(5c+2\)

Step-by-step explanation:

Given the following questions:

\(4a+5+4a\)
\(2c+6+3c-4\)

In order to simplify the two expressions, we have to group the terms that have similar variables, and then combine those terms by adding/subtracting the numbers that have the similar variables.

Number one:
\(4a+5+4a\)
\(4a+4a+5\)
\(4a+4a=8a\)
\(8a+5\)

Number two:
\(2c+6+3c-4\)
\(2c+3c+6-4\)
\(2c+3c=5c\)
\(5c+6-4\)
\(6-4=2\)
\(5c+2\)

Hope this helps.

Answer:

The slope would be 2

Step-by-step explanation:

Please brainliest!

And hope this helped you!

I also answered first!

And tell me If I am wrong! :D

Answer:

what is the rest of your question haha

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

f(5)=8×5+9=40+9=49

Answer:

7. 4^2 = 6

8. 7^2 = 49

9. 6^4 =1296

10. 1^2 = 1

11. 5^3 =125

12. 1^3 =1

Step-by-step explanation:

The required value of the x in the proportional relationship is 8.

Given that,
Variables y and x have a proportional relationship and y = 21 when x = 14. What is the value of x when y = 12 is to be determined.

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

Here,
y = 21 when x = 14,
y = 12 when x = ?
So y is proportion to x,
21 / 12 = 14 / x
x = 14 (12 / 21)
x = 2 (12 / 3)
x = 2 (4)
x = 8

Thus, the required value of the x in the proportional relationship is 8.

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Answer:

To calculate how much you would have to deposit today to accumulate the same amount of money that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn, we can use the formula for the present value of an annuity due:

PV = PMT × ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n)

where:

- PV is the present value of the annuity due (the amount you would have to deposit today)

- PMT is the monthly payment ($75)

- r is the annual interest rate (3.5%)

- n is the number of times interest is compounded per year (12 for monthly compounding)

- t is the number of years (10)

PV = 75 × ((1 - (1 + 0.035/12)^(-12×10)) / (0.035/12)) × (1 + 0.035/12) = **$7,360.47**

Therefore, you would have to deposit **$7,360.47** today to accumulate the same amount of money that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn.

Answer:

B

Step-by-step explanation:

(A): 825

(B): 42,900

Answer:

dat easy

Step-by-step explanation:

Answer:

1, 4, 9, 16, 25, 36, 49, 64, 81, 100

Step-by-step explanation:

Just do this by the square root method

Answer:

12.12%

Step-by-step explanation:

We have that the formula is given by:

A = p * e ^ (r * t)

From here, we know that A = 200000; p = 20000 and the time we can calculate 40 - 21 = 19

if we replace we have:

200000 = 20000 * e ^ (19 * r)

we must calculate r:

e ^ (19 * r) = 200000/20000

e ^ (19 * r) = 10

19 * r = ln 10

r = ln 10/19

r = 0.1212

In other words, the rate of growth is 12.12%

Answer:

12.1%

Step-by-step explanation:

Answer:

huh? im confused on the question

Step-by-step explanation:

!!

Answer: 3.76

Step-by-step explanation:

trust

Answer:

true

Step-by-step explanation:

.

Answer:

The height of the cylinder is 4x units.

Step-by-step explanation:

volume of a cylinder = nr^2h

n = 22/7

r = radius = x/2

Let illustrate with an example. If the diameter of a cylinder is 6 and the volume is 6^3 = 216. The radius = 6/2 = 3

n3^2 x h = 216

h = 216/9 = 24

so the height is 4 times the diameter

Area of the base = nr^2

1/2^2 x x = 1/4 pi x^2

The formula for the geometric sequence above is Tₙ= 5. (-3⁽ⁿ⁻¹⁾)

In geometric sequence, the general formula of geometric sequence is:

Tₙ= ar⁽ⁿ⁻¹⁾

Information:

Tₙ = the n-th term

a = first term

r = ratio

n = the number of terms

In the question above,

a= 5

r= T2/T1=-15/5=-3 (This is the ratio)

Substitute the value of a and r to the formula of Tₙ:

Tₙ= ar⁽ⁿ⁻¹⁾

Tₙ= 5. (-3⁽ⁿ⁻¹⁾)

So the formula of Tₙ for the sequence above is Tₙ= 5. (-3⁽ⁿ⁻¹⁾)

In the above formula there is a ratio of geometric sequences. In a geometric sequence, two successive terms have the same ratio. Comparisons to geometric sequences are referred to as ratios (r). This is where the quotient of adjacent terms will be obtained.

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First find the unit price of each store

Jerry's fresh produce unit price = 10.25 / 5 = $2.05 per apple

Parson's Market unit price = 11.34 / 6 = $1.89

Carol's apple = 15.44 / 8 = $1.93

Ed's green apple unit price = 18.99 / 9 = $2.1 per apple

Now, find the one that will give $13.51 when you multiplied by 7

$1.93 x 7 = $13.51

Therefore the correct answer is Carol's Apple Orchard

\( \bf y- 18 = 14 \)

⠀ ⠀⠀ ⠀ ⠀⠀ ⠀

\( \bf 3(y+5) = ?\)

⠀ ⠀⠀ ⠀ ⠀⠀ ⠀

\( \bf It \: is \: given \: that \: y - 18 = 14 \)

\( \bf \implies y = 14 + 18\)

\( \bf \implies y = 32\)

Now, by filling value of y in 3(y+5), we get,

\( \bf = 3(32 + 5) \)

\( \bf = 3 \times 37 \)

\( \bf = 111 \)

\( \pink{\bf Hence, \: the \: value \: of \: 3(y+5) \: is \: 111.}\)

We have y-18=14

➠ y-18=14

➠y=14+18

➠y=32

Putting y=32 in 3(y+5),we get

➠ 3×(32+5)

➠ 3×37

➠ 111

Thus the required answer is 111.

Answer:

The answer for the first one is 1 and the second answer is 12i.

Step-by-step explanation:

The value of the given imaginary number i¹² will be 1 thus option (A) is correct.

A complex number is the sum of a real number and an imaginary number.

The idea of a complex number has come by solving a quadratic equation that has root as negative under root.

If we solve x² + 1 = 0 ⇒ x = √(-1) which is called as iota(i).

The value of iota(i) is given as i = √(-1).

By the law of indices,

i¹² = (i²)⁶

⇒ (-1)⁶

Since the even exponents of a negative number give positive output thus  (-1)⁶ = 1.

Thus, i¹² = 1

Hence "The value of the given imaginary number i¹² will be 1".

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ANSWER :

A. The successes are all the experiments that include at least one head.

EXPLANATION :

The team needs to win all three games for them to advance to the championship.

So the experiment is a success if there are 3 Heads.

From the results of the simulation, there are only 2 successes out of a series of 15 experiments.

Since each coin represents one game, the experiment needs 3 coins.

The only statement that is NOT true is "the successes are all the experiments that include at least one head" because an experiment is a success if there are 3 heads.

The linear function is given as follows:

\(y = \sqrt{x} + 4\)

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The y-intercept is of 4, hence the parameter b is given as follows:

b = 4.

The line is inclined to 60° with the positive direction of X-axis, hence the slope m is given as follows:

m = tan(60º)

\(m = \sqrt{3}\)

Thus the function is given as follows:

\(y = \sqrt{x} + 4\)

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Answer:

They are all equal and identical in form; coinciding exactly when superimposed.

Step-by-step explanation:

The derivative of y with respect to x in the equation is: dy/dx = -88x^7 / (132x^21y + 3y^2)

It should be noted that to find dy/dx, we need to differentiate both sides of the equation with respect to x, using the chain rule for the second term:

11x^8 + 6x^22y + y^3 = 18

Differentiating both sides with respect to x:

(11x^8)' + (6x^22y)' + (y^3)' = 0

Using the power rule, we get:

88x^7 + 132x^21y dy/dx + 3y^2 dy/dx = 0

Now, we can factor out dy/dx:

dy/dx (132x^21y + 3y^2) = -88x^7

dy/dx = -88x^7 / (132x^21y + 3y^2)

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Answer:

35° , 55°

Step-by-step explanation:

Let one angle be x.

It's complementary angle is = (90 - x)°

According to the question ,

\(x - (90 - x) = 20\)

\(=> x - 90 + x = 20\)

\(=> 2x = 90 - 20 = 70\)

\(=> x = \frac{70}{2} = 35\)

The system of inequalities represented by the graph is y> x-2 and y < x + 1

These are graphs that are plotted in order to show linear functions that are compared by the mathematical symbols <, >, ≥, ≤.

The inequality here shows a graph that has a Y axis and an x axis. The graph cuts across both axis.

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