What are the 5 types of polynomial?

Answer: x = 6, Angle ABC = 45, Angle DBC = 34

Step-by-step explanation:

79 = (5x + 4) + (8x - 3)

79 = 13x + 1

78 = 13x

x = 6

8x - 3      plug in 6 for x

8(6) - 3

Angle ABC = 45

5x + 4     plug in 6 for x

5(6) + 4

Angle DBC = 34

Answer:

A / kb = h

Step-by-step explanation:

A = kbh

Divide each side by kb

A / kb = hkb/kb

A / kb = h

Answer:

9h

9(3) = 27

Step-by-step explanation:

expression for h multiplied by 9

9h

evaluate that expression when h=3

9(3) = 27

Answer:

9h

h=3

substitute 3 into h

9(3)=27

For the first loan, the final payment is $1,576.25. For the second loan, the final payment is $0. The calculations consider the given interest rates and compounding periods.



To determine the final payment for the first loan, we need to calculate the accumulated value of the loan after six years. For the first year, interest is compounded quarterly at a rate of 10% per annum. The accumulated value after one year is $10,000 * (1 + 0.10/4)^(4*1) = $10,000 * (1 + 0.025)^4 = $10,000 * 1.1038125.For the next three years, interest is compounded semi-annually at a rate of 8% per annum. The accumulated value after four years is $10,000 * (1 + 0.08/2)^(2*4) = $10,000 * (1 + 0.04)^8 = $10,000 * 1.3604877.

Finally, for the remaining two years, interest is compounded annually at a rate of 7.5% per annum. The accumulated value after six years is $10,000 * (1 + 0.075)^2 = $10,000 * 1.157625.To find the final payment, we subtract the payments made so far ($5,000 and $6,000) from the accumulated value after six years: $10,000 * 1.157625 - $5,000 - $6,000 = $1,576.25.For the second loan, we calculate the accumulated value after six years using the given interest rates and compounding periods for each period. The accumulated value after two years is $5,000 * (1 + 0.09/4)^(4*2) = $5,000 * (1 + 0.0225)^8 = $5,000 * 1.208646.

The accumulated value after four years is $5,000 * (1 + 0.10/12)^(12*2) = $5,000 * (1 + 0.0083333)^24 = $5,000 * 1.221494.Finally, the accumulated value after six years is $5,000 * (1 + 0.10)^2 = $5,000 * 1.21.To find the final payment, we subtract the payments made so far ($2,500 and $2,500) from the accumulated value after six years: $5,000 * 1.21 - $2,500 - $2,500 = $0.

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The major problem with point estimation is that it provides only a single point in its estimate. This means that it does not take into account the possible variability or uncertainty that comes from sampling error when estimating population parameters.

The major problem with point estimation is that it provides only a single point in its estimate, which may not accurately represent the true population parameter. This is because point estimation relies on a single sample to estimate the parameter, and does not take into account the variability that could result from different samples.

Additionally, point estimation cannot be utilized to estimate population parameters directly, as it only provides an estimate for the specific sample used. However, point estimation can still be useful for obtaining rough estimates of parameters, particularly when more precise methods are not available or feasible. It is important to keep in mind that point estimation is subject to sampling error, which can affect the accuracy of the estimate. To minimize this error, it is often necessary to use larger sample sizes or employ other sampling techniques such as stratified sampling or random sampling.

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Answer:

√21

Step-by-step explanation:

Irrational number:-

An irrational number is a type of real number which cannot be represented as a simple fraction . it cannot be expressed in the form of a ratio.

Example:-

√2,√3,  ,......  

Given option

√21 is a irrational number

Answer:

45

Step-by-step explanation:

usa una calculadora

Answer:

The answer is b

The equations correctly represent the distance between points (1, -1) and (-2, 2) as d = √(1+2)² + (-1-2)².

What is the distance formula?

The distance formula can be used to calculate the separation between two points on the XY plane. The coordinate of a point is represented as an ordered pair (x, y), where the x-coordinate (or abscissa) is the distance from the x-axis and the y-coordinate (or ordinate) is the distance from the y-axis.

Here, we have

Given

The distance between points (1, -1) and (-2, 2).

We have to find the equation that represents the distance formula

Distance formula = √(x₂-x₁)² + (y₂-y₁)²

Now we put the value of x and y in the formula and we get

d = √(1+2)² + (-1-2)²

d = √3² +(-3)²

d = √9+9

d = √18

d = 3√2

Hence, the equations correctly represent the distance between points (1, -1) and (-2, 2) as d = √(1+2)² + (-1-2)².

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Let x be the number of blue counters.

Let y be the number of red counters.

Let z be the number of green counters.

Let w be the number of yellow counters.

According to the problem,

we have:z = (1/4)x(1)

The number of green counters is one-fourth the number of blue counters.x + z = 2(y + w)The total number of blue and green counters is twice the total number of red and yellow counters.Substitute z in terms of x in the equation above:

x + 1/4x = 2(y + w)x = 8(y + w)

Now, substitute this into the equation for z to get:  z = (1/4)(8(y + w))(1)z = 2(y + w)

Substitute x + z = 2(y + w) to obtain:

x + 2(y + w) = 2(y + w)x = y + w  

Now, we can express the total number of counters in terms of x as follows:

x + y + z + w = x + y + 2(y + w) + w = 4y + 4w + x According to the problem statement, there are some counters in a box. Each counter is either blue, green, red, or yellow.

Therefore, we have:x + y + z + w = total number of counters The percentage of blue counters in the box is given by the formula: x/total number of counters * 100

Substituting x + y + z + w = 4y + 4w + x, we obtain

:x/(4y + 4w + x) * 100 = x/(4y + 4w + y + w) * 100 =

x/(5y + 5w) * 100 = x/y+w * 20

Substitute x = y + w into the above equation to get:

x/(y + w) * 20

Therefore, the percentage of blue counters in the box is:x/(y + w) * 20 = (y + w)/(y + w) * 20 = 20

Therefore, the percentage of blue counters in the box is 20%, which is 57% to the nearest percent. Answer: 57%.

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The values are given as:

(a) Approximate the value of e^6 to 4 decimal places:

The value of

The approximate value to 4 decimal places is 403.4288.

(b) Approximate the value of e^(-0.66) to 4 decimal places:

Approximated value to 4 decimal places is 0.5168..

So the estimated value of √6.02 using differentials is approximately 2.4556.

The change in g(x,y,z) can be estimated using partial derivatives and differentials.

We can start by finding the partial derivatives of g(x,y,z) with respect to x, y, and z:∂g/∂x = 3 + cos(z)∂g/∂y = -sin(z) + 1∂g/∂z = -x sin(z) - y cos(z)Next, we can use the point P0(1,-3,0) and the distance ds = 0.1 to find the differentials dx, dy, and dz:dx = -2/√6 dsdy = 2/√6 dsdz = 1/√6 dsUsing these values, we can estimate the change in g:Δg ≈ (∂g/∂x) dx + (∂g/∂y) dy + (∂g/∂z) dzΔg ≈ (3 + cos(0)) (-2/√6 ds) + (-sin(0) + 1) (2/√6 ds) + (-1 sin(0) - (-3) cos(0)) (1/√6 ds)Δg ≈ (3 - 2/√6) dsPlugging in ds = 0.1, we get:Δg ≈ (3 - 2/√6) (0.1)Δg ≈ 0.389

Therefore, the change in g(x,y,z) is estimated to be approximately 0.389 units if the point P(x,y,z) moves from P0(1,-3,0) a distance of ds = 0.1 unit toward the point P1(-1,-1,2).

Suppose we want to estimate the value of √6.02 using differentials. We can start by choosing x = 6 and Δx = 0.02. Then, we need to find the derivative of f(x) = √x with respect to x:

f(x) = √x

f'(x) = 1/(2√x)

Using these values, we can estimate Δy:

Δy ≈ dy = f'(x) Δx

dy ≈ (1/(2√6)) (0.02)

dy ≈ 0.005

This means that a small change of 0.02 in x produces a small change of approximately 0.005 in y. To estimate the value of √6.02, we can add this change to the known value of √6:

√6.02 ≈ √(6 + 0.02) ≈ √6.04 ≈ 2.4556

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Answer:

2 13/20 cm

Step-by-step explanation:

The screen on Brianna's new phone is 2.65 cm. Long. What mixed number represents the length of the phone screen ?

From the above question, we are converting, from decimal to mixed number , hence:

2.65 has 2 decimal places

Hence:

2.65 cm = (265/100)cm

= ( 2 + 65/100) cm

= ( 2 13/20 )cm

The mixed number that represents the length of the phone screen is 2 13/20 cm

The least number of visits he needs to make in order to earn a free movie ticket is approximately 15 visits.

Points received for signing up = 85 rewards points

Points received for each visit to the movie theater = 10.5 points

Points needed for a free movie ticket = 240 points

Number of visits = x

85 + 10.5x ≤ 240

10.5x ≤ 240 - 85

10.5x ≤ 155

x ≤ 155 / 10.5

x ≤ 14.761

Approximately,

x ≤ 15 visits

Therefore, Jordan needs at least 15 visits to earn a free movie ticket.

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Answer:

Step-by-step explanation:

(a) and (b) see diagram

(c) you can see from the graph, the purple line hits the parabola twice which is y=6   or k=6

(d)  Solving simultaneously can mean to set equal

6x - x² = k                        >subtract k from both sides

6x - x² - k = 0                  >put in standard form

- x² + 6x - k = 0               >divide both sides by a -1

x² - 6x + k = 0

(e) The new equation is the same as the original equation just flipped (see image)

(f)  The discriminant is the part of the quadratic equation that is under the root. (not sure if they wanted the discriminant of new equation or orginal.  I chose new)

discriminant formula = b² - 4ac

equation:   x² - 6x + 6 = 0            a = 1      b=-6    c = 6

discriminant = b² - 4ac

discriminant= (-6)² - 4(1)(6)

discriminant = 36-24

discriminant = 12

Because the discriminant is positive, if you put it back in to the quadratic equation, you will get 2 real solutions.

Answer:

1) The frequency of the light is approximately 4.283 × 10¹⁴ Hz

2) The color of the light is red

Step-by-step explanation:

1) The given parameter;

The wavelength of the line contained in the Neon spectrum, λ = 700 nm = 0.0000007 m = 7.0 × 10⁻⁷ m

The speed of light, v = 299,792,000 m/s

v = f × λ

The frequency, f of the light = v/λ = 299,792,000/(7.0 × 10⁻⁷) ≈ 4.283 × 10¹⁴ Hz

The frequency of the light ≈ 4.283 × 10¹⁴ Hz

2) Given that light with wavelength between 620 - 750 nm constitute red light, we have that the given light with a wavelength of 700 nm is a red light source.

Answer:

its positive 5 a negative divided by a negative is a positive

Step-by-step explanation:

Answer:

Positive 5

Step-by-step explanation:

a negative divided by a negative or a negative multiplied by a negative will always equal a positive. This equation is equal to 15 divided by 3 which is equal to 5.

The area of the trapezoid is 118 squre units

The formula for calculating the area of a trapezoid is expressed as:

Substitute into the formula

A = 0.5(√1600)*√40

A = 0.5 * 40 * √40

A = 20√40

A = 118 squre units

Hence the area of the trapezoid is 118 squre units

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Answer:

B- 42

Step-by-step explanation:

Answer:

-8+7x

Step-by-step explanation:

-1-6-1=-8

-3x+10x=7x

Answer: 20

Step-by-step explanation:

4 x 2 = 8

4 x 2 = 8

+

---------

16 round to twenty

Answer:

a=3, b=12, c=13

Step-by-step explanation:

The correct answer is 26%.

In an exponential regression model, the exact percentage of change can be calculated as: (exp(β1) - 1) × 100. Given that β1 = 0.23, let's calculate the percent increase in E(y):

Step 1: Calculate exp(β1): exp(0.23) ≈ 1.259
Step 2: Subtract 1: 1.259 - 1 = 0.259
Step 3: Multiply by 100: 0.259 × 100 = 25.9

The percent increase in E(y) is approximately 26%. So, the correct answer is 26%.

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Answer:

5/16=s/32

Step-by-step explanation:

What we know:

- a school team has 80 swimmers

The ratio of 7th grade swimmers to every swimmer in their school (counting all the grades) is 5:16. Write a proportion of this for a value of s.

a ratio can also be expressed in a fraction by simply putting it from x:y to x/y

so, the ratio 5:16 can also be expressed as 5/16.

note: let sgs represent seventh grade swimmers.

also, let x represent the value of the equivalent amount of swimmers (in the denominator that serves as a value for the proportion of 5/16.

we need to find:

5 sgs/16 swimmers = s amount of sgs/x

5/16=s/x

equivalent fractions could literally be anything, just multiply that ratio by a value equal to one; ex 4/4, or 16/16, or 2/2.

the simplest proportion is to multiply 5/16 by 2/2.

5/16*(2/2)=s/x

10/32=s/x

so s=10 and x=32 but we only need to know x cuz your problem doesn't have a box to answer the s=10.

so... 5/16=s/32.

Answer:29.9

Step-by-step explanation:

1+1=2

Answer:C

Step-by-step explanation:

The function f(x) = 3500^x represents the annual cost of this cancer treatment in x amount of years option (B) is correct.

It is defined as a function that increases exponentially. The exponential function is in the form of a^x where a is the constant value.

Exponential function can be written as:

\(\rm f(x) = a^x\)

Where a is the base and a constant value.

We have:

A current cost for the life saving cancer treatment = $3500

And it is growing exponentially.

As we can see in the options the two option represents the exponential function with the current cost of $3500

\(\rm f(x) = 3500^x\)

At x = 1 (current year)

f(x) = $3500 (current cost)

At x = 2 (second year)

f(x) = 3500² ⇒ $12,250,000 (cost at second year)

The cost increased exponentially.

Thus, the function f(x) = 3500^x represents the annual cost of this cancer treatment in x amount of years option (B) is correct.

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Step-by-step explanation:

it depends on the base the numbers are

but in base ten 2+2 is 4

in base two 2+2 is 100

in base eight 2+2 is 4

in base sixteen 2+2 is 4

Step-by-step explanation:

20.32cm=8in.

17.78cm=7in.

volume of cylinder=

\( \frac{22}{7} \times 20.32 \times 20.32 \times 17.78 = 23072.99cm ^{3} \)

\( \frac{22}{7} \times 20.32 \times 20.32 \times 35.56 = 46145.97cm^{3}\)