What is the relationship between DE and FG ? Select all that apply.
A. parallel
B. perpendicular
C. proportional
D. equal length

The simple interest for a deposit of $ 5,000 at 3 % rate of interest for 1 year would be $ 150

What is Simple Interest?

Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

Given data ,

Let the simple interest be represented as S

Now , the value of S is

The principal amount = $ 5,000

The rate of interest R = 3 %

The time period T = 1 year

So , the Simple Interest is given by the equation

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

Substituting the values in the equation , we get

Simple Interest S = ( 5000 x 3 x 1 ) / 100

On simplifying the equation , we get

Simple Interest S = 150000 / 100

Simple Interest S = $ 150

Therefore , the value of S is $ 150

Hence , the simple interest for the deposit is $ 150

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Answer:

C : Parallel lines are always in the same plane.

Step-by-step explanation:

Parallel lines must be coplanar

Answer:

The answer is, parallel line are always in the same plane.

Step-by-step explanation:

Lines in a plane that are always the same distance apart are called parallel lines. Parallel lines do not cross.

A - Perpendicular lines must always cross at least once.

B - Parallel lines should never cross.

D- This isn't always the case.

C is true.

Skewed lines are those that are not in the same plane.

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Answer: Establish a national bank

Step-by-step explanation:

Answer: w=20/3

Step-by-step explanation: start by multiplying -3/2 by 2 and multiply -10 by 2 as well. you would get -3w = -20. divide both sides by -3 and you’ll get 20/3.

It depends on the length of the festival, the length of each band's performance, and other factors. There could be any number of ways to schedule their appearances.

The number of ways to schedule the bands' appearances at the weekend festival depends on a variety of factors such as the length of the festival, the length of each individual band's performance, and the number and type of stages available.

For example, if the festival runs for two days and each band's performance is one hour, there could be a total of 22 hours of music, so eleven bands could each perform twice, once on each day.

Alternatively, if the festival has three stages and two of the stages are dedicated to different genres of music, then the bands could be scheduled to perform on those stages, with each stage hosting five bands each day.

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Answer:

y= -6x - 15

Step-by-step explanation:

First you need to plug in the x and y coordinates into the equation y = -6x and you should get (-3) = -6(-2). Then you do -6 x -2 which is 12 then subtract 12 from -3 and get -15.

Just took the exam and the answer is c :)

A vector parallel to the curve described by the vector-valued function (t) when t = -4 is (-7, -11, -268). The t-values where l and e' are orthogonal are t = 1/2, t = 3/4, and t = -6/7.

The vector-valued function (t) = (1 + 2t, 3 - 4t, 67t) describes the curve C. To find a vector parallel to the curve when t = -4, we substitute t = -4 into the function and calculate the resulting vector. Plugging in t = -4, we get (-7, -11, -268), which represents a vector parallel to the curve at that particular point.

Next, we need to find the t-values where l and e' (two vectors) are orthogonal. Two vectors are orthogonal when their dot product is zero. Given the values t = 1/2, t = 3/4, and t = -6/7, we substitute these values into the vectors l and e' and calculate their dot product. If the dot product equals zero, it indicates orthogonality. Therefore, t = 1/2, t = 3/4, and t = -6/7 are the t-values where l and e' are orthogonal.

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Answer:

A

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

g(-4) here x = -4

So, we have to take g(x) = x - 2

g(-4) = -4 -2 = - 6

g(1) , here x = 1 ,

So, we have to take g(a)= -x +1

g(-1) = -1 + 1 = 0

g(-4) + g(-1) = -6 +0 = -6

Angie made an error because she used substitution incorrectly in step 3.

7x + y =−12

7x + 4y = −6

subtract equation(i) from (ii) to eliminate x

Therefore,

3y = 6

y = 6 / 3

y = 2

Therefore,

7x + 2 = -12

subtract 2 from both sides of the equation

7x = -12 - 2

7x = - 14

x = - 14 / 7

x = -2

(-2, 2)

Therefore, Angie use substitution incorrectly in step 3.

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Answer:

1.5625

Step-by-step explanation:

first 5^4=625

next 20^2= 400

then divide 625/400

you get 1.5625 or 1  9/16

Answer:

1.5625

Step-by-step explanation:

5^4 ÷ 20^2

625 ÷ 400

= 1.5625

Answer:

14

Step-by-step explanation:

14 x 3 = 42

42 + 6 = 48

48 ÷ 8 = 6

Therefore, the answer is 14.

Answer:

14

Step-by-step explanation:

let us call the number x for now

the number (x) is multiplied by 3 to give us

3x

then,

it is added to 6 to give

3x + 6

then, our sum is divided by 8:

(3x + 6) / 8

according to the question, the result is 6

therefore,

3x + 6 / 8 = 6

if we cross multiply,

3x + 6 = 8 ( 6 )

3x + 6 = 48

collecting like terms,

3x = 48 - 6

3x = 42

divide through by 3 to give

3x / 3 = 42 / 3

x = 14

therefore, x = 14

to reassure us of our answer,

since (3(x) + 6) / 8 = 6

and we know that x = 14,

therefore,

(3(14) + 6) / 8 = 6

(42 + 6) / 8 = 6

48 / 8 = 6

6 = 6

therefore, we are now sure that x = 14

hope this helps

thanks

Answer:

Step-by-step explanation:

The expression for the total surface area is

SA=4πr^2

given that r=11cm

we want to substitute the value of r to solve for the area

SA=4πr^2

SA=4*3.142*(11)^2

SA=2.568*11^2

SA=2.568*121

SA=310.728

Therefore they need to cover a surface of 310.73cm^2

Answer:

at least 71 miles each day

Step-by-step explanation:

212 divided by is 70.6

so u can round up to 71.

The required number of miles she will run is 2 miles each day or 1 mile each day.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Faith wants to run at least 7 miles this week. She has already run 212 miles. She plans to run an equal distance on each of the last 3 days of this week.
So,
There are two ways,
1st. she must run for 1 mile each day of the week,

2nd she must run for 2 miles on the last three days of the week and 1 mile on any day of the 4 days of the week.

Thus, The required number of miles she will run is 2 miles each day.

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Answer:

D

Step-by-step explanation:

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:

6 x 10 /5  = 60/ 5

Thus, the answer to 6 divided by 5/10 in fraction form is:

60 /5

To make the answer to 6 divided by 5/10 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

60 / 5 = 12

The answer is rounded to the nearest two decimal points if necessary.

60/5 can be simplified to 12/1.

12/1 is an improper fraction and should be written as 12.

Answer:

Step-by-step explanation:

Since the coordinates of P are (0, 1), this makes P the y-intercept of that line. The y-intercept exists where x = 0. And in the coordinate (0, 1), x does in fact equal 0.

Since the one coordinate given in Q is (?, 0), this means that Q is the x-intercept of the line. The x-intercept exists where y = 0. And in the coordinate (?, 0), y does in fact equal 0. So in order to solve for the x coordinate of Q, we plug in a 0 for y and solve for x:

3(0) - 4x = 12 and

-4x = 12 so

x = -3

9514 1404 393

Answer:

  (b)  Ingrid’s claim is correct, but her steps are incorrect

Step-by-step explanation:

As nearly as we can tell from the problem statement, Ingrid's table looks like the one attache. We have highlighted the incorrect steps.

Step 3 should read ...

  0·cos(y) -(-1)·sin(y) = sin(y) . . . . . . . . . sin(-π/2) = -1

Step 4 should read ...

  0 + sin(y) = sin(y)

So, Ingrid's conclusion is correct, but her steps are incorrect.

In the exponential function y = 3 × q⁵ the starting value is 3.

What is an exponential function?

The formula for an exponential function is f(x) = aˣ, where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.

The given exponential function is -

y = 3 × q⁵

The exponential function is written in the form abˣ.

Here, a is considered to be the initial value, b is considered to be the base and x represents the growth factor.

So, the initial or starting value in function y = 3 × q⁵ is -

a = 3

Therefore, the starting value is 3.

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Answer: 1287

Step-by-step explanation:

In the given Venn diagram, we have sets A and B, as well as the universal set U. The regions in the diagram represent different combinations of elements belonging to A, B, and their complements (Ac and Bc).

The intersection (Ac ∩ Bc) represents the elements that are both in the complement of A and the complement of B. In other words, it includes the elements that do not belong to A and also do not belong to B.

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Answer:

Divide both sides by V

Step-by-step explanation:

The equation is not well written.

Mariko needs to solve the equation below for D. Here is the equation:

M = DV

For Mariko to get D, he needs to make D the subject of the formula by dividing both sides of the equation by the coefficient of D i.e V as shown;

Divide both sides by V

M/V = DV/V

V at the denominator will cancel out the V at the numerator to have:

M/V = D

Rearrange

D = M/V

Therefore, the statement which correctly describes the step he should take is:

Divide both sides by V. Option B is correct.

Answer: present statistical information in clear, meaningful terms.

Step-by-step explanation:

When using statistics, the information gathered should be presented in such a way that it is clear and meaningful as this would allow for the data to be tested using various statistical measures.

If data is unclear, the measures used for the test could be negatively impacted such that the results would not represent the most accurate of interpretations.

Answer:

x=5

Step-by-step explanation:

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Answer:

x=5

Step-by-step explanation:

6x-3 = 3x +12

+3            +3

6x = 3x +15

-3x   -3x

3x = 15

divided both sides by 3 to get your answer

In the given problem, the relationship between the Brinell hardness (x) and tensile strength (y) of specimens of cold drawn copper is represented by the least-squares line y = -196.32 + 2.48x. This means that for every increase of one unit in the Brinell hardness, the tensile strength increases by 2.48 units.

Now, if two specimens differ in their Brinell hardness by 3, we can predict their tensile strengths to differ by multiplying the difference in Brinell hardness by the slope of the least-squares line. Therefore, the predicted difference in tensile strength between two specimens that differ in their Brinell hardness by 3 is:

2.48 × 3 = 7.44 ksi

This means that for every increase of 3 units in Brinell hardness, we can predict the tensile strength to increase by 7.44 ksi. However, it is important to note that this prediction is based on the assumption that the relationship between Brinell hardness and tensile strength is linear and that the least-squares line is an accurate representation of this relationship.    

In addition, it is also important to consider the variability in the data and the uncertainty in the prediction. The prediction interval can be used to estimate the range of possible values for the difference in tensile strength with a certain level of confidence, taking into account the variability in the data and the uncertainty in the prediction.

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a=2

Explanation

Step 1

subtract 10 in both sides

Step 2

divide each side by 4