Diego thinks that x = 3 is a solution to the equation x² = 16. Do you agree?
Explain or show your reasoning.
Yes, he is correct.
No, he is incorrect. The answer should be 6.
No, he is incorrect. The answer should be 9.
None of the above

Answer:

$864.94

Step-by-step explanation:

So the amount of money over time can be given with an exponential function y=a(b)^x or more specifically y=a(1+r)^x    where r is the growth rate (interest rate)

So the equation can be written as

\(m= P(1.04)^t\)    where m represents the amount of money over time, P represents the principle amount, and t represents time in years. Since we're given the amount of interest paid and not the total amount which includes the initial amount borrowed you have to subtract P from the equation. This will give us the equation that we'll use to find the initial amount

\(I = P(1.04)^t-P\)  where I represents the interest paid.

plug the values into the equation

\(108 = P(1.04)^3-P\\108 = P(1.124864) - P\\108 = 0.124864P\\\\864.941 = P\)

The mood of the categorical syllogism in example 2 is AIO.

In your example, we have the following premises and conclusion:

1. Major Premise: No dogmatists are scholars who encourage free thinking.
2. Minor Premise: Some theologians are scholars who encourage free thinking.
3. Conclusion: Some theologians are not dogmatists.

The major premise in example 2 is an A proposition (All S are not P). The minor premise in example 2 is an I proposition (Some S are P). The conclusion in example 2 is an O proposition (Some S are not P).

To learn more about premises, refer here:

https://brainly.com/question/29699382#

#SPJ11

A 95% confidence interval compared to a 90% interval, tends to result in a wider confidence interval because of a higher level of confidence requires a larger interval to account for the increased certainty.

Based on the given information, there seems to be some inconsistency in the provided data. The number of respondents is mentioned as 2000 in one part and 1500 in another part. To provide an accurate analysis, it's important to have consistent and accurate data.

However, I can still explain the concept of confidence intervals and their widths based on general understanding.

A confidence interval is a range of values calculated from sample data that is likely to contain the true population parameter with a certain level of confidence. The width of a confidence interval depends on two main factors: the sample size and the desired level of confidence.

In general, a larger sample size tends to result in a narrower confidence interval. This is because larger sample sizes provide more precise estimates of the population parameter, reducing the uncertainty and thus narrowing the interval.

Without the specific sample data and the stated confidence levels, it is difficult to determine which confidence interval (specified by the given percentages) would be wider or why. Additionally, the inconsistency in the provided information further hinders a specific analysis.

To learn more about interval

https://brainly.com/question/30460486

#SPJ11

The first physical coordinate y1 can be expressed as y1 = [1 0 0]Y, & The mass-normalised mode shapes can be  normalising the mode shape vectors f1, f2, and f3.

Part (a)

In Equation Q2, the spectral matrix, undamped natural frequencies, damping ratios, and fundamental frequency need to be calculated.

The mass matrix is given by [85.16400 083.3770 0046.999; 0.079400 00.7030 001.07 × 10; 0.013600 03.1390 005.124 × 10].

The stiffness matrix is given by [0.16400 00.3770 000.999; 0.079400 00.7030 001.07 × 10; 0.013600 03.1390 005.124 × 10].

The damping matrix is given by [0 0 0; 0 0 0; 0 0 0].The undamped natural frequencies, damping ratios, and fundamental frequency for the system in Equation Q2 can be calculated from the spectral matrix.

The characteristic equation can be written as det(K-mω^2M)=0.where K is the stiffness matrix, M is the mass matrix, ω is the angular frequency, and m is the mass-normalised mode shape.

The roots of this equation are the undamped natural frequencies, and the damping ratios can be calculated from the undamped natural frequencies and mode shapes.

The mass-normalised mode shapes can be calculated by normalising the mode shape vectors f1, f2, and f3.

Part (b)

The mass-normalised mode shapes can be calculated using the mode shape vectors f1, f2, and f3.Part (c)The response of the system for the first physical coordinate y1 can be calculated using the mode superposition method. The initial modal displacements and velocities are given in terms of the modal coordinates.

The response is then calculated using the equation y(t)= Σ ai φi(t), where ai are the modal amplitudes, and φi(t) are the modal shapes given by the mode shape vectors f1, f2, and f3.

The first physical coordinate y1 can be expressed as y1 = [1 0 0]Y, where Y is the vector of physical coordinates. The modal amplitudes can be calculated from the initial modal displacements and velocities.

Learn more about coordinate  from the given link

https://brainly.com/question/17206319

#SPJ11

The application rate is 3 (per DM$).

The given below table shows the monthly production volume, direct materials, direct labor, and manufacturing overheads for the past three months at Gizzard Wizard (GW):

Month Prod. Volume DM ($)DL ($)MOH ($)May 1000$400.00$600.00$1200.00

June 400160.00240.00480.00

July 1600640.00960.001920.00

By using DM$ to apply overhead, we have to find the application rate. We know that the total amount of manufacturing overheads is calculated by adding the cost of indirect materials, indirect labor, and other manufacturing costs to the direct costs. The formula for calculating the application rate is as follows:

Application rate (per DM$) = Total MOH cost / Total DM$ cost

Let's calculate the total cost of DM$ and MOH:$ Total DM$ cost = $400.00 + $160.00 + $640.00 = $1200.00$

Total MOH cost = $1200.00 + $480.00 + $1920.00 = $3600.00

Now, let's calculate the application rate:Application rate (per DM$) = Total MOH cost / Total DM$ cost= $3600.00 / $1200.00= 3

Therefore, the application rate is 3 (per DM$).

Hence, the required answer is "The application rate for GW is 3 (per DM$)."

Know more about application rate here,

https://brainly.com/question/24266380

#SPJ11

The population of the country will be twice what it was in 1980 approximately 67.8 years after 1980, which would be around 2047.

To find out when the population will be twice what it was in 1980, we need to set up an equation and solve for t.

Let's first determine the population in 1980:

N(0) = 217e0.0102(0) = 217

So, the population in 1980 was 217 million.

Now, we want to find out when the population will be twice that amount:

2(217) = 434

We can set up an equation:

434 = 217e0.0102t

Divide both sides by 217:

2 = e0.0102t

Take the natural logarithm of both sides:

ln(2) = 0.0102t

Solve for t:

t = ln(2)/0.0102

t ≈ 67.8

Therefore, the population of the country will be twice what it was in 1980 approximately 67.8 years after 1980, which would be around 2047.

Learn more about population here:

https://brainly.com/question/27991860?

#SPJ11

The amount of money in Mr. Olsen’s account on the date of his retirement would be $8531.12

Mr. Olsen will contribute $4500.00. The answer that best fits the given question is (i) $8531.12 (ii) $4500.00.

Solving for the value of money in Jimmy Olsen's account and the amount he will contribute with the given information

Saving for his retirement 25 years from now, Jimmy Olsen set up a savings plan whereby he will deposit $ 25 at the end of each month for the next 15 years. Interest is 3.6% compounded monthly.

The future value of the investment is given by

FV = PMT x [((1 + r)^n - 1) / r]

where PMT is the monthly payment, r is the monthly rate, and n is the number of payments.

FV = $25 x [((1 + 0.036/12)^180 - 1) / (0.036/12)]

FV = $25 x [((1.003)^180 - 1) / 0.003]

FV = $25 x 85.31821189

FV = $2,132.955297

i.e. $8531.12 (approx)

Therefore, the amount of money in Mr. Olsen’s account on the date of his retirement would be $8531.12 (approx).

Amount contributed is

$25 x 12 x 15 = $4500.00

Therefore, Mr. Olsen will contribute $4500.00. The answer that best fits the given question is (i) $8531.12 (ii) $4500.00.

To know more about retirement visit:

https://brainly.com/question/31284848

#SPJ11

Wonderful quote, have a nice day!

Answer:

nicee

Step-by-step explanation:

Answer:y=28

Step-by-step explanation:

all triangles add up to 180 and this triangle is an isosceles triangle so 34 should be equal to x-5 meaning that two of the angles are 34 degrees and you just need to subtract 34(2) from 180 which is  180-68 to give you 112. Then since this is the value of 4 times y, just divide 112 by four to isolate the variable and you get 28.

Answer: The critical points of g(t) occur at t = ±sqrt(-d/2) if d < 0. If d ≥ 0, then dg(t)/dt is always greater than or equal to zero, so g(t) has no critical points.

Step-by-step explanation:

To find the critical points of g(t), we need to find the values of t where the derivative dg(t)/dt is equal to zero or does not exist.

Using the given information, we have:

dg(t)/dt = 4ct^3 + 2dct

Setting this equal to zero, we get:

4ct^3 + 2dct = 0

Dividing both sides by 2ct, we get:

2t^2 + d = 0

Solving for t, we get:

t = ±sqrt(-d/2)

Therefore, the critical points of g(t) occur at t = ±sqrt(-d/2) if d < 0. If d ≥ 0, then dg(t)/dt is always greater than or equal to zero, so g(t) has no critical points.

Note that we also need to assume that c is nonzero, since if c = 0, then dg(t)/dt = 0 for all values of t and g(t) is not differentiable.

To know more about critical points refer here

https://brainly.com/question/31017064#

#SPJ11

The total cost of raspberries and pears if she buys 2.5 pounds of raspberries and 2 pounds of pears is $16.5.

Total cost = (Cost of raspberries × pounds of raspberries) + (Cost of pears × pounds of pears)

= (4 × 2.5) + (3.25 × 2)

= 10 + 6.5

= $16.5

Total cost = (Cost of raspberries × pounds of raspberries) + (Cost of pears × pounds of pears)

= (4 × x) + (3.25 × y)

= 4x + 2y

Therefore, the equation that can be used to represent the total cost of raspberries and pears given the cost per pound of raspberries and pears is 4x + 2y.

Learn more about algebra:

https://brainly.com/question/723406

#SPJ1

Answer:

sorry wrong answer that I gave before

I was not right, I didn't want to confuse you

Answer:

\(t \leq 63\)

Step-by-step explanation:

Quotient of two numbers also means the result of the two numbers after division.

If the quotient of a number t and 4.2 is at most 15., this can be expressed using the inequality;

\(\dfrac{t}{4.2}\leq 15\) (note that at most 15 means that the highest value we can have is 15 after taking the quotient of the number hence the reason of the inequality sign.)

On solving the inequality for the variable t

\(\dfrac{t}{4.2}\leq 15\\\\multiply \ both \ sides \ by \ 4.2\\\\\dfrac{t}{4.2}* 4.2\leq 15 * 4.2\\\\t \leq 63\)

Hence t is at most 63

Orville should walk at an angle of 71.05 degrees north of west during the second portion of the trip.

When Orville walks in the northeast direction of the starting point, his angle from the east direction is 45 degrees. So, the position vector of Orville in the northeast direction will be as follows.

r = [(0.330km)cos 45° ] i+ [(0.330km)sin45°] j

r = (0.233km)i + (0.233km)j

Write the expression for the net position vector and substitute the required values to determine the value of the position vector of Orville in the second portion of the trip.

\(r = r_1+r_2\)

(0.233km)i + (0.233km)j = (0.313km) i + \(r_2\)

\(r_2\) = (0.233km)i + (0.233km)j - (0.313km) i

\(r_2\) = - (0.080km) i + (0.233 km) j

Determine the direction of Orville in the second portion of the trip.

\(tan\theta=\frac{0.233km}{-0.080km}\)

\(\theta=tan^-^1(\frac{0.233km}{-0.080km})\)

θ = -71.05°

θ = 71.05° (north of west)

So, Orville should walk at an angle of 71.05 degrees north of west during the second portion of the trip.

Learn more about Angle at:

https://brainly.com/question/31818999

#SPJ4

The given question is incomplete, complete question is:

Orville walks 0.313 km due east. He then continues walking along a straight line, but in a different direction, and stops 0.330 km northeast of his starting point.

In what direction did he walk during the second portion of the trip? Enter the angle in degrees where negative indicates north of west and positive indicates south of west.

By applying the definitions of rigid transformation ((x, y) → (0.5 · x, 0.5 · y)) and dilation, we conclude that the coordinates of Q'(x, y) are (0.1).

Herein we must apply a rigid transformation into a given point to determine an image. Rigid transformations are transformations applied on a geometric locus such that Euclidean distance is conserved. Dilations are a kind of rigid transformations such that:

(x, y) → (k · x, k · y), for k > 0

If we know that Q(x, y) = (0, 2) and k = 0.5, then the coordinates of Q' are:

Q'(x, y) = (0.5 · 0, 0.5 · 2)

Q'(x, y) = (0, 1)

By applying the definitions of rigid transformation ((x, y) → (0.5 · x, 0.5 · y)) and dilation, we conclude that the coordinates of Q'(x, y) are (0.1).

To learn more on dilations: https://brainly.com/question/13176891

#SPJ1

Answer: Q' = (0,1)

Step-by-step explanation: just did it on edge

we need to multiply the probability of each possible outcome (number of college graduates) by the number of college graduates and then add up all the products. On average, the expected number of college graduates from 5 randomly selected adults is approximately 3.

So, the calculation would be:
(0 x 0.01028) + (1 x 0.07715) + (2 x 0.2307) + (3 x 0.3457) + (4 x 0.2583) + (5 x 0.07751)
= 0 + 0.07715 + 0.4614 + 1.0371 + 1.0332 + 0.38755
3.9967
Therefore, on average, we can expect about 4 college graduates from 5 randomly selected adults in this certain town.
In order to find the expected number of college graduates from 5 randomly selected adults, you need to calculate the expected value using the probability distribution provided. The expected value (E) can be calculated using the formula:
E = Σ [x * P(x)]
Using the given table, the calculation is as follows:
E = (0 * 0.01028) + (1 * 0.07715) + (2 * 0.2307) + (3 * 0.3457) + (4 * 0.2583) + (5 * 0.07751)
E = 0 + 0.07715 + 0.4614 + 1.0371 + 1.0332 + 0.38755
E ≈ 2.9964
On average, the expected number of college graduates from 5 randomly selected adults is approximately 3.

learn more about probability here:https://brainly.com/question/31828911

#SPJ11

Answer:

2 students out of 20 have blonde hair.

Step-by-step explanation:

20 was the total number if u divide 20 ÷ by 10 = 2

so 2 is 1/10

because is only 1 out of 10

Answer:

2 students.

Step-by-step explanation:

20 divided by 10 = 2

Answer:

It's (5,4)

Step-by-step explanation:

hope this helps :)

Answer:

Step-by-step explanation:

Area of the circleis,

A=3.14 x r^2

d=40 in, r=20 in

A=20x20x3.14=400x3.14=1256 in^2

The given series is a geometric series with first term a = 10x and common ratio r = 2x. The series converges for the domain (-1/2, 1/2) and the sum is given by 10x/(1 - 2x).

The series 10x + 20x^2 + 40x^3 + 80x^4 + ... is a geometric series with first term a = 10x and common ratio r = 2x.

For a geometric series to converge, the absolute value of the common ratio must be less than 1, so we have:

|2x| < 1

Solving for x, we get:

-1/2 < x < 1/2

Therefore, the domain of x for which the series converges is (-1/2, 1/2).

To find the sum of the series, we can use the formula for the sum of an infinite geometric series:

sum = a/(1 - r)

Substituting a = 10x and r = 2x, we get:

sum = 10x/(1 - 2x)

This formula is valid only when |r| < 1, which is the case when x is in the domain (-1/2, 1/2).

To know more about geometric series, visit:
brainly.com/question/30264021
#SPJ11

Answer:

C, 0.28 x 63 = p

Step-by-step explanation:

Basically, C is getting 28% of 63.

This can be better shown in terms of 100. Let's say you want 28 percent of 100.

0.28 x 100 = 28

Answer:

Step-by-step explanation:

You want to know the width and length of a rectangle with an area of 54 square units when the length is 3 more than twice the width.

The formula for the area of a rectangle is ...

  A = LW

The problem statement tells us L = 2W+3, so the given values let us write the equation ...

  54 = (2W +3)W

Rewriting this a bit, we have ...

  2W² +3W -54 = 0

We can factor this if we find two integers whose product is 2(-54) = -108, and whose sum is +3. Those are 12 and -9.

  (2W -9)(2W +12)/2 = 0

  (2W -9)(W +6) = 0

Solutions are values of W that make the factors zero:

  2W -9 = 0   ⇒   W = 9/2 = 4.5

  W +6 = 0   ⇒   W = -6

The width cannot be negative, so the solution is ...

  W = 4.5

  L = 2(4.5) +3 = 12

The rectangle is 4.5 units wide and 12 units long.

The combined score for Jodi and Joe is 9-i

Two complex numbers, z₁ = a + bi and z₂ =c +di, can be added by adding the corresponding real and imaginary parts. That is:

z₁+z₂ = (a+c) + (b+d)i

Given: Jodi's score = 5−3i and Joe's score = 4 + 2i

Combined score = 5−3i + 4 + 2i

                           = (5+4) + (-3+2)i

                           = 9-i

Therefore, the combined score is 9-i

Learn more about complex numbers on:

https://brainly.com/question/5564133

#SPJ1

Using trigonometric functions, we calculate that the ladder reaches up to 27.3 feet up the wall.

Let us assume the height that the ladder reaches up the wall "h". We know the length of the ladder is 30 feet and the angle it forms with the ground is 72 degrees.

The trigonometric function that relates these values is the tangent function:

tan(θ) = Perpendicular/Base

where θ is the angle, Perpendicular is the height of the ladder on the wall, and Base is the distance the ladder is from the wall.

We can rearrange this equation to solve for h,

h = tan(θ) × Base

To find the value of the Base, we can use the fact that the ladder is the hypotenuse of a right triangle formed by the ladder, the wall, and the ground. The other two sides of the triangle are h (the height up the wall) and x (the distance from the wall to the base of the ladder).

We can use the sine function to relate the angle θ to the height h and the hypotenuse 30,

sin(θ) = Perpendicular/hypotenuse

sin(72) = h/30

h = 30 × sin(72)

h ≈ 27.3 feet

Now that we know the height h, we can use the tangent function to find the value of the base,

tan(72) = h/base

base = h / tan(72)

base ≈ 8.2 feet

Learn more about trigonometric functions at

https://brainly.com/question/14746686

#SPJ4

Answer:

Step-by-step explanation:

The actual answer is 28.53, just got it wrong and it was no where near correct

Answer:

Monthly payment for choice​ 1 is $6,600

Step-by-step explanation:

We will use following formula in order to calculate the monthly payment of choice 1

Value of Loan = Monthly payment x ( 1 - ( 1 + Interest rate )^-numbers of payments / interest rate

Where

Value of Loan = $110,000

Interest rate = 6%

Numbers of Payment = 15 years x 12 payments / year = 180 payments

Placing values in the formula

$110,000 = Monthly payment x ( 1 - ( 1 + 6% )^-180 ) / 6%

$110,000 = Monthly payment x 16.6662

Monthly Payment = $110,000 / 16.6662

Monthly Payment = $6,600.18

Monthly Payment = $6,600 (Rounded to whole number)

Answer:

the answer is true

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

The test said it is right

Answer:

Go by three??

Step-by-step explanation:

I honestly do not know

Answer:

-3  , -8.5

Step-by-step explanation:

subtract 5.5

19,   ........19-5.5 = 13.5

13.5 -5.5 = 8

8 -5.5 = 2.5

2.5-5.5 = -3

-3-5.5 = -8.5

Answer:

|x−10|=5

The maximum and minimum time(x) gets subtracted by 10 resulting in the 5 minute time vary.

Answer:

its D. |x−10|=5 if you dont believe me heres proof

Step-by-step explanation: