Without graphing, is each system independent, dependent or inconsistent?-x -3y = 0x - y = 4

Answer:

She needs at least 73%

Step-by-step explanation:

1. add all of the numbers up and d the quantity to find

93+67+82+71+94/5

=407/5

=81.

2. try diffrent numbers

407+73/6

=480/6

=80

She needs at least 73%

Answer:

A score of 73

Step-by-step explanation:

Five exam scores + the final exam = mean (average) of 80.

First find the total points that you need to make an 80 average 80 × 6 = 480 points.

The five exam scores + x score = 480 points.

93 + 67 + 82 + 71 + 94 + x = 480

407 + x = 480

x = 480 - 407

x = 73

The exterior angle of the triangle is 62°.

What is triangle?

A triangle is a form of polygon with three sides; the intersection of the two longest sides is known as the triangle's vertex. There is an angle created between two sides. One of the crucial elements of geometry is this.

Certain fundamental ideas, including the Pythagorean theorem and trigonometry, rely on the characteristics of triangles. The angles and sides of a triangle determine its kind.

Let us take the triangle as ABC.

Here \(m\angle C\)= 180-(5x-3)° [Because straight line angle is 180°].

We know that sum of all angles in triangle is add upto 180° Then,

=> \(m\angle A+m\angle B+m\angle C\)=180

=> 43°+3x°+180-5x+3=180°

=> -2x=180-180-43-3

=> -2x=-46

=> x=13°

Now exterior angle ,

=> 5x-3

=> 5*13-3

=> 65-3

=> 62°

Hence the exterior angle of the triangle is  62°.

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Answer:

A, I believe.

Step-by-step explanation:

it says both miles and hours are included

We want to see which units the rate that describes the motion of the car has, we will see that the correct option is A. "miles and hours."

A rate, as its name implies, is a ratio between two quantities.

For example, speed is a rate between distance traveled and the time it takes to travel that distance.

Then there are two units describing the rate, distance units and time units, like in:

"50 miles per hour"

From this, the correct option is the first one, the rate that describes the motion of the car would have units of:

A "miles and hours"

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Answer:

132.

Step-by-step explanation:

That would be the number of permutations of 2 from 12.

12P2 = 12! / (12-2)!

= 132.

The measure of arc RT is 156 degree.

Given:

arc TRM=102°

Hence:

arc RST=2×1O2°

arc RST=204°

Measure of arc RT

arc RT= 2(180° - 102°)

arc RT = 2(78°)

arc RT = 156 degrees

Therefore the correct option is B.

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Answer:

hypotenuse leg theorem or OHL

Step-by-step explanation:

Since the congruent angle is a right angle and it is not included, the two congruent sides of the triangles must include their hypotenuses and one of their legs.

The triangles would be congruent by the hypotenuse leg theorem, which states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, the triangles are congruent.

The congruence theorem that can be used to prove both triangles are congruent is: AAS

As per this theorem the two triangles are congruent if two angles and a side not between these two angles of one triangle are congruent to two corresponding angles and the corresponding side not between the angles of the other triangle.

This one denotes Angle - Angle - Side and it means that if 2 angles and the non-included side of a triangle are equal to corresponding 2 angles and the non-included side of another triangle, then they are both congruent.

When we have two triangles in which the two angles and a non-included side of one is congruent to the corresponding two angles and corresponding non-included side of the other, both triangles can be proven to be congruent by the AAS Congruence Theorem.

Since the two sides and the non-included side of one triangle is congruent to the corresponding two sides and the non-included side of the other, the congruence theorem that can be used to prove both triangles are congruent is: AAS

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Answer:

9 and 18

Step-by-step explanation:

2x and x are the numbers

1/x-1/2x=1/18

2/2x-1/2x=1/18

1/2x=1/18

2x=18X=9,

2x=18

The two integers are 9 and 18

Answer:

2/10

Step-by-step explanation:

(9/10)-(7/10) = 2/10

Absolute Value is the positive side of  a number.

So,

2/10 is the answer

A function that represents a reflection of \(f(x) = \frac{3}{8} (4)^x\) across the y-axis include the following: D. \(g(x) = \frac{3}{8} (4)^{-x}\).

In Mathematics and Geometry, a reflection over or across the y-axis or line x = 0 is represented and modeled by this transformation rule (x, y) → (-x, y).

This ultimately implies that, a reflection over or across the y-axis or line x = 0 would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By applying a reflection over the y-axis to the parent exponential function, we would have the following transformed exponential function:

(x, y)                                              →                 (-x, y).

\(f(x) = \frac{3}{8} (4)^x\)                               →              \(g(x) = \frac{3}{8} (4)^{-x}\)

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Answer:

three

Step-by-step explanation:

stem. is the tens place and the leaf is the. ones place

so you want to find 68 so you look in the stem column and look for six

in the row there are 6 numbers which mean:

60, 61, 67, 68, 68, 68

as you can see there is three 68 there for the answer ths 3

Answer:

9/3 = 3x/3

3 = x

The spring stretches 9 inches with 3 kilograms of weight attached to it

Step-by-step explanation:

Substitute y = 9 into the equation y = 3x, or locate the answer on the graph:

y = 3x

9 = 3x.

Divide both sides of the equation by 3

Answer:The spring stretches 9 inches with 3 kilograms of weight attached to it.

Step-by-step explanation:

Substitute y = 9 into the equation y = 3x, or locate the answer on the graph:

y = 3x

9 = 3x.

Divide both sides of the equation by 3:

The spring stretches 9 inches with 3 kilograms of weight attached to it.

Answer:

25 passos=15 m

75 passos = 15×3

=45 m

i hope this help

sorry of it's wrong

Answer:

1500m is your answer

Answer:

1500m

Step-by-step explanation:

The number of months is m.

In m months, you earn $1500 * m.

The expression is

1500m

Answer:

\( \frac{3}{8} {m}^{2} \)

area= length×breadth

\( \frac{3}{4} \times \frac{1}{2} = \frac{3}{8} \)

The sum of the scores is equal to 160.

In Mathematics, a mean is sometimes referred to as an average and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.

Mathematically, the mean for this set of scores can be calculated by using the following formula:

Mean = [F(x)]/n

For the total number of scores (data set), we have;

∑x = 20 + 60 + 30 + 50

∑x = 160.

Mean = [F(x)]/n = 160/4 = 40.

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Answer:

x<(with a line underneath)-1

Step-by-step explanation:

10-2x>(with a line underneath)12

-10 -10

-2x>(with a line underneath)2

/-2 /-2

x<(with a line underneath)-1

a) Probability that the next accident occurs between 50 and 100 days = 0.2044198

b) Probability that the time until an accident occur exceeds the mean time by more than 2 standard deviations =  0.04978707

c) The probability that it will be at least 80 days until an accident occurs = 0.2865048

d) the value of the median time until an accident occurs = 27.7258

Median time

a) Let T be the amount of time until an industrial facility accident occurs.

Daily rate lambda = 1/Mean = 1/40

Exp(lambda = 1/40), T

If the distribution is exponential,

P(T t) = 1 - exp (-lambdat) = 1 - exp(-t/40)

P(50 T 100) is the probability that the next accident will occur between 50 and 100 days.

= P(T < 100) - P(T < 50)

= (1 - exp(-​​​​​​​100/40)) - (1 - exp(-​​​​​​​50/40))

= exp(-1.25) (-1.25) - exp(-2.5) (-2.5)

= 0.2865048 - 0.082085

= 0.2044198

b) Standard deviation = Mean = 40 in the case of an exponential distribution.

The probability of the next accident occurring exceeds the mean time by two standard deviations.

= P(T > 40 + 2 * 40)

= P(T > 120)

= exp(-​​​​​​​120/40)

= exp (-3)

= 0.04978707

c) Given that there is no accident until 30 days, the likelihood is that it will be at least 80 days before an accident occurs.

= P(T > 80 | T > 30)

= P(T>80 and T>30) / P(T>30)

= P(T > 80) / P(T > 30)

= p(- 80/40) / exp(- 30/40)

= exp(-50/40) = (-1.25)

= 0.2865048

d) If the distribution is exponential,

P(T t) = 1 - exp(-lambdat) = 1 - exp(- t/40).

P(T t) = 0.5 for the median value Tm.

1 - exp(-​​​​​​​Tm/40) = 0.5

exp(-​​​​​​​Tm/40) = 0.5

-​​​​​​​Tm/40 = log (0.5)

-​​​​​​​Tm/40 = -0.6931472

Tm = 40 * 0.6931472

= 27.72589 days

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Answer: 22

Step-by-step explanation:

-3 +12 +13=22

Answer: A

Step-by-step explanation:

Because angle EGC is as straight angel, angle BGC = 180 - 31 - 71 = 78

Answer + Step-by-step explanation:

• is it a function?  

No , because f(2) = 1 and f(2) = -1

• Domain :

[1 , 5]

• Range :

[-4 , 4]

• y-intercept :

It doesn’t have y-intercepts ,because the graph doesn’t cross the y-axis.

• Zero :

x = 1 ,because f(1) = 0

• f(3) = ± 2

\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)

Here, for some values of x, we have more than one value of y. so we can conclude that it's not a function.

or

Draw vertical lines all over the graph, if the vertical lines cut the curve once then it is a function, and if more than once then it isn't a function.

Since the lines cut the curve more than once, it isn't a function

\(\qquad \sf  \dashrightarrow \: ( 1 , 5 )\)

\(\qquad \sf  \dashrightarrow \: (-4 , 4)\)

It doesn't cut y - axis, so it doesn't have y - intercept

The values of x at which the curve cuts the x - axis are the zeros.

If we plug the x - coordinate as 3, it has two y - coordinates : -2 and 2

So, F (3) = - 2 and 2

Answer:

a

Step-by-step explanation:

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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Answer:

m ≤ 5

Step-by-step explanation:

I will begin by assuming m to be the number.

Then, the sum of m and 3 is: m + 3.

The symbol for "less than or equal to" is ≤.

So we form an inequality, like this :

m + 3 ≤ 8

To find m subtract 3 on each side:

m ≤ 5

Therefore, m ≤ 5.

Answer:

Move all terms not containing the variable from the center section of the inequality.

Step-by-step explanation:

Inequality Form:

1< h3

Interval Notation:

( 1 , 3 )

Answer:

Line AB

Hope this helps!

Start from Start Here square, the pointer to the next question to resolve is given by the solution to the equation in the current square

The values of the Maze are as follows;

Reason:

The solutions are;

10·x + 15 = 12·x - 5  by alternate interior angles theorem

6·x + 6 = 5·x + 14 by alternate exterior angles theorem

x + 109 = 100 by corresponding angles theorem

11·x + 5 + 120° = 180° by same side interior angles theorem

11·x - 1 = 10·x + 10 by corresponding angles theorem

35·x + 5 = 110 by corresponding angles theorem

x + 85 + x + 105 = 180 by same side interior angles theorem

7·x - 3 + 12·x + 12 = 180° by same side interior angles theorem

19·x - 3 = 130 by alternate interior angles theorem

x + 67 = 60 by alternate interior angles theorem

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