Which statements are true about the ordered pair (−1, 5) and the system of equations? {x+y=4x−y=−6 Select each correct answer. Responses The ordered pair (−1, 5) is a solution to the first equation because it makes the first equation true. The ordered pair , begin ordered pair negative 1 comma 5 end ordered pair, is a solution to the first equation because it makes the first equation true. The ordered pair (−1, 5) is a solution to the second equation because it makes the second equation true. The ordered pair , begin ordered pair negative 1 comma 5 end ordered pair, is a solution to the second equation because it makes the second equation true. The ordered pair (−1, 5) is not a solution to the system because it makes at least one of the equations false. The ordered pair , begin ordered pair negative 1 comma 5 end ordered pair, is not a solution to the system because it makes at least one of the equations false. The ordered pair (−1, 5) is a solution to the system because it makes both equations true. The ordered pair , begin ordered pair negative 1 comma 5 end ordered pair, is a solution to the system because it makes both equations true.

The length of the median of the trapezoid is 12 units.

What is trapezoid?

Let the parallel sides be  x and x+4

The area of a trapezium is  the average or the parallel sides multiplied by the height

Area = [(x + x+ 4)/2 ] *h

= [ (2x+4)/2] * 5

= [2(x+2)/2] * 5

Area = 5(x+2)

60 = 5(x+2)

60/5 = x+2

12 = x+2

x = 12 - 2

x = 10

The parallel sides are 10 and 14 units.

Now the median length is the average of the parallel side lengths

Length of median = (10+14)/2

Length of median = 12 units

Hence, the length of the median of the trapezoid is 12 units.

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The probability of having L greater than Shelia's mean glucose level is 0.03 for L = 144.48.

Sheila's glucose level is shown to have a normal distribution, with a mean of 128 mg/dl and a standard deviation of 8 mg/dl.

L represents the patient's blood test level.

The probability that the mean glucose level, 128 mg/dl, is greater than L is given as 0.03.

To find L,

P(128>L) = 0.03

= 1 - P(128 ≤ L) = 0.03

=P(128 ≤ L) = 0.98

We know that we can find the probability of any normal distribution by converting it to standard form and then checking the p-value.

P(X < x) = Φ[(x - μ)/σ]

μ = mean

σ = standard deviation

=Φ[(L - 128)/8] = 0.98

Therefore ,

(L - 128)/8 = 2.06

= L - 128 = 16.48

= L = 128 + 16.48

= 144.48

= L

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The line has a slope with a measure of 8 / 5.

According to Euclidean geometry, lines can be constructed by knowing the location of two distinct points on a plane. By analytic geometry we can determined the slope of the line by knowing these two points and using the secant line formula:

m = Δy / Δx

Where:

If we know that (x₁, y₁) = (- 2, - 5) and (x₂, y₂) = (2, 3), then the slope of the line shown in the picture is:

m = [3 - (- 5)] / [3 - (- 2)]

m = 8 / 5

The slope of the line is equal of 8 / 5.

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The dimensions of a right circular cylinder of maximum volume are

[tex]5\sqrt{6}[/tex] and [tex]10\sqrt{3}[/tex].

Given the radius of sphere is 15 cm.

Let's assume radius of right circular cylinder = r

height of right circular cylinder = h.

Since the cylinder is inscribed in the sphere, their centers will coincide. As a result, the height is divided into two equal portions from the sphere's center. Therefore, we can apply Pythagoras' Theorem to get the cylinder's half-height in terms of radius.

[tex]R^2 = r^2 + (h/2)^2[/tex].

[tex]r^2=R^2-h^2/4[/tex]

Volume of cylinder = [tex]\pi r^2h[/tex]

Now we can substitute value of [tex]r^2[/tex] in volume of cylinder.

V =  π*([tex]R^2[/tex] - [tex]h^2[/tex]/4)*h

taking  R = 15 .

V = π*(225 - [tex]h^2[/tex]/4)*h

V = π*225*h - π*[tex]h^3[/tex]/4

For maximum volume we have to do derivative of volume = 0

derivative with respect to h.

V' = π*225 - 3*π[tex]h^2[/tex]/4

V' = 0

π*225 - 3*π[tex]h^2[/tex]/4 = 0

3*[tex]h^2[/tex]/4 = 225

[tex]h^2[/tex] =  75*4

h = [tex]10\sqrt{3}[/tex]

put the value of h in [tex]r^2=R^2-h^2/4[/tex]

[tex]r^2[/tex] = 225 - (300/4)

[tex]r^2[/tex]  = 150

r = [tex]5\sqrt{6}[/tex]

Given Question is incomplete, Complete Question here

find the dimensions of a right circular cylinder of maximum volume that can be inscribed in a sphere of radius 15 cm. what is the maximum​ volume?

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Answer:

it is actually 35

Step-by-step explanation:

This is because the plot is accelerating not decreasing also like if you think peter griffin is in! EPIC

A parametric representation using spherical-like coordinates for the upper half of the ellipsoid is given by x2 = 9 + -2.25y2 + 0.25z2.

A sphere can be deformed into an ellipsoid by applying directional scalings, or more generally, an affine transformation, to it.

A quadric surface, or surface that can be described as the zero set of a polynomial of degree two in three variables, is an ellipsoid. An ellipsoid among quadric surfaces has one of the two characteristics listed below. Every cross section of a flat surface is either an ellipse, empty, or reduced to a single point (this explains the name, meaning "ellipse-like"). It can be contained in a sphere that is big enough because it is bounded.

Three pairwise perpendicular axes of symmetry intersect at an ellipsoid's center of symmetry, or the

According to our question-

To each side of the equation, add "-9y2".

4x2 + 9y2 + -9y2 + -1z2 = 36 + -9y2

combining similar terms 9y2 + -9y2 = 0

4x2 + 0 + -1z2 = 36 + -9y2

4x2 + -1z2 = 36 + -9y2

To either side of the equation, add "z2".

4x2 + -1z2 + z2 = 36 + -9y2 + z2

Hence, A parametric representation using spherical-like coordinates for the upper half of the ellipsoid is given by x2 = 9 + -2.25y2 + 0.25z2.

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Answer:

is 364

Step-by-step explanation:

When bananas cost 75 cents per pound over the previous month, the increase was 8%. Today, we notice that the price per pound has increased to 81 cents.

In essence, percentages are fractions with a 100 as the denominator. We place the percent sign (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100). A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Here,

The solution is attached in image.

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The breadth of the confidence interval grows as the confidence level does. The breadth of the confidence interval reduces as the confidence level rises.

Generally speaking, the more information we know on the level of the population parameter, the narrower a confidence interval becomes. As a result, we want to make sure that all of the confidence intervals are as small as feasible. So let's look at the variables that influence the mean's t-interval width.

The margin of error grows as the degree of confidence does because we require a broader interval to improve our level of confidence that the interval includes the population mean.

Because the standard error is reduced as sample size increases, confidence intervals are narrower.

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No as their no difference in Mr. Goodman's evaluation and the History department

What is Statistics ?

The study of statistics is the field that deals with the gathering, structuring, analyzing, interpreting, and presenting of data. In order to apply statistics to an issue in science, business, or society, it is customary to start with a statistical population or a statistical model that will be investigated.

descriptive statistics types in mathematics The data in this type of statistics is summarized using the provided observations. Statistics that are inferential. To interpret the meaning of descriptive statistics, this kind of statistics is employed. Example of Statistics.

Seeing the data we can conclude that their no difference in Mr. Goodman's evaluation and the History department

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Answer:

Step-by-step explanation:

98

Answer:

8

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

yeah I think it's c there's 35% it's C

Answer:

Explanation: The idea is to draw a Venn Diagram and find the intersection. We have one circle of 70 and another with 40. When we add the two circles plus the 10 students who joined neither, we should get 100 students.

Step-by-step explanation:

Answer:

star

Step-by-step explanation:

if you continue the pattern, the 13th is star

The length of the shadow is changing rate at 2.69 [tex]\frac{ft}{sec}[/tex].

What do you mean by length?

The measurement or size of something from end to end is referred to as its length. To put it another way, it is the greater of the higher two or three dimensions of a geometric shape or object. For instance, the length and width of a rectangle define its dimensions.

According to data in the given question,

We have the given information:

The height of the person is 7 ft.

The person is walking away from the post at a rate of 5ft/sec.

The height of the lamppost is 20ft.

Let the person's distance from the bottom of the light post be x ft.

And his shadow's length is y ft.

Form the similar triangles,

[tex]\frac{x+y}{20}=\frac{y}{7}\\[/tex]

7(x+y) = 20y

7x+7y = 20y

20y-7y = 7x

13y = 7x

y = [tex]\frac{7}{13}x[/tex]

Now, we will differentiating wrt t,

[tex]\frac{dy}{dt}=\frac{7}{13}\frac{dx}{dt}................(1)[/tex]

We know that,

[tex]\frac{dx}{dt}=5\frac{ft}{sec}[/tex]

Putting the value of  [tex]\frac{dx}{dt}[/tex]  in equation (1),

[tex]\frac{dy}{dt}=\frac{7}{13}.5=\frac{35}{13}=2.69\frac{ft}{sec}[/tex]

Therefore, the length of the shadow is changing rate at 2.69 [tex]\frac{ft}{sec}[/tex].

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There is a 0.890 percent chance that headway will be within one standard deviation of the mean.

The mean value is what?

The mean, or average of the given numbers, is calculated by dividing the sum of the numbers by the total number of numbers.

The sum of all possible values, weighted by the likelihood of each value, constitutes the mean of a discrete probability distribution of the random variable X. Each possible value of X must be multiplied by its probability, P(x), before being added to determine the mean.

P(0.995 ≤ x ≤ 1.445) = F(1.445) - F is the given mean value (0.995).

The distribution's cdf is

f(x) = { (1 - 1/x⁶ , x > 1) (0. x ≤ 1)

Determine the values of F(1.445) and F now (0.995).

F(1.445) = 1 - (1/(1.445)⁶)

F(0.995) = 0

Now, using the values of F(1.445) and F(0.995) in P( 0.995 ≤ x ≤ 1.445) to get F(1.445) - F(0.995):

P( 0.995 ≤ x ≤ 1.445)

=1 - (1/(1.445)⁶) - 0

=0.890

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Answer:

2 x-5

Step-by-step explanation:

Answer:

If the net force on an object is zero, then the object is in equilibrium. It means the sum of the forces in all directions must be equal to zero.

Answer: equilibrium

Step-by-step explanation: When an object is in equilibrium (either at rest or moving with constant velocity), the net force acting on it zero.

The ball will need to travel 126 feet since it will be dropped from a height of 6 feet and then bounce 10/11 feet.

A number is split in division, which is a straightforward procedure. The simplest way to conceptualize it is as a set of things being distributed among a set of individuals, as in the example given above. In mathematics, division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that may be formed. For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each.

Here,

2*{6/(1-10/11)}-6

2*(6/1/11)-6

2*6*11-6

required distance=126 feet

The required distance will be 126 feet as the ball is dropped from 6 feet and rebounds 10/11 of the distance.

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Answer:

  100°

Step-by-step explanation:

You have two supplementary angles in the ratio 7:2, and you want the measure of their positive difference.

The sum of supplementary angles is 180°. The sum of the ratio units in the ratio 7:2 is 7+2 = 9, so each ratio unit must stand for 180°/9 = 20°.

The difference in ratio units is 7 -2 = 5, so the difference in the angles will be 5·20° = 100°.

The measure of their difference is 100°.

__

Additional comment

The two angles are 7·20° = 140°, and 2·20° = 40°. The difference is 140° -40° = 100°.

R(t)=6.6 for t, 5 minutes, the domain of R relative to this context [0, 65 ÷ 6], the range of R related to this context, the domain of R relative to this context, [0, 12], and the range of R relative to this context.

The values of variables, domain, and range:

a) 12 - 1.2t, Using the build equation.

b) Least length = 0 mm.

max time = 12 - 1.2t = 0

t = 65 ÷ 6 minutes.

domain t ∈ [0, 65 ÷ 6]

c) range, R ∈ [0, 12]

d) domain of [tex]R^{-1}[/tex] [0, 12]

e) domain of [tex]R^{-1}[/tex] [0, 65 ÷ 6]

f) 12 - 1.2t = 7

1.2t = 7

t = 5

R(t)=6.6 for t, 5 minutes.

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The total ways of selecting 6 numbers in 175223510 Ways.

A permutation is an grouping or the combination of items that is drawn from a set of which the placement or an arrangement of the given objects is significant. In the other terms, an arrangement of the items in the specific order is a permutation.

Total number of White balls = 59

Total number of red balls = 35

Way of choosing 5 white balls = ⁵⁹C₅

= [tex]\frac{59!}{54! 5!}[/tex]

=5006386 ways

Way of choosing 1 red ball = ³⁵C₁

=35 ways

Hence Total ways would be =

5006386 * 35 = 175223510 Ways

Hence the total ways of selecting 6 numbers in 175223510 Ways.

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Answer: 5%

Step-by-step explanation:

To find the percentage you put the part over the whole so in this case it would be 6/120 or 6÷120

pop that into a calculator and you get 0.05  or    [tex]\frac{5}{100}[/tex] or 5%

Hope that helps

The slope of a line perpendicular to the given equation of line is 6.

For the stated question, the equation of the line is given as;

3x + 18y = 10

This can be written as;

y = -3/18 x  + 10/18

y = -1/6 x + 5/9

Comparing with general equation of line in slope intercept form.

y = mx + c

slope m = -1/6

The relation of slope for the two perpendicular lines are-

m x m1 = -1

m1 = -1/(-1/6)

m1 = 6

Thus, the slope of a line perpendicular to the given equation of line is 6.

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The expression that represents the change that the cashier handed Michelle is $20 - $P.

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.

A collection of numbers, symbols, and operators (like + and ) that represent a value.

Examples: The phrase 2 + 3 is one.

We must substitute a number for each variable and carry out the arithmetic operations in order to evaluate an algebraic expression.

So, Michelle purchased a notepad for P dollars with $20 cash.

Now, considering that Michelle paid P dollars for a notepad using a $20 bill.

As a result, the cashier gave Michelle $20 - $P.

Therefore, the expression that represents the change that the cashier handed Michelle is $20 - $P.

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Correct question:
Michelle used a $20 bill to pay for a notebook that only costs P dollars

How much change did Michelle receive from the cashier?

Write your answer as an expression.

The stated zone in EMTALA in 2003 when defining a hospital campus is d. 250 yards

What is EMTALA?

EMTALA stands for Emergency Medical Treatment & Labor Act. It is passed by the US Congress in 1986 to ensure public access to emergency services regardless of ability to pay.

2003 revision of EMTALA provides that the 250-yard zone will continue to apply when defining the "hospital campus". However, that sphere does not include non-medical businesses (shops and restaurants located close to the hospital), nor does it include physicians' offices or other medical entities that have a separate Medicare identity.

Hence, the correct answer is d. 250 yards.

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The total number of tests they can grade in 3 hours are 90.

What is graded test?

Your grade in an exam or written assignment is the letter or number you receive as a mark that represents your level of proficiency.

A graded exercise test (GXT) is a screening tool for determining a person's level of fitness. The test measures the cardiovascular response to exercise in order to assess the participant's capacity for exercise.

Since, the number of minutes in 3 hours is:

= 3 x 60 minutes per hour

= 3 x 60

= 180 minutes

The number of tests that Sam can grade in these 3 hours is therefore:

= ( Number of total minutes / Minutes taken by Sam for 6 tests) x 6 tests

= ( 180 / 24) x 6

= 45 tests

The number of tests that Ben can grade are:

= ( Number of total minutes / Minutes taken by Ben for 5 tests) x 5 tests

= ( 180 / 20 ) x 5

= 45 tests

So, the total number of tests they can grade in 3 hours is:

= 45 + 45

= 90 tests

Hence, the total number of tests they can grade in 3 hours are 90.

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As per the unitary method, the number of students in the auditorium is 108

Unitary method.

In algebra, the process of finding the value of a single unit, and based on this value is known as unitary method.

Given,

Students filled 6 rows in Level 1 of Section A and 3 rows in Level 3 of Section B.

Here we need to find the number of  students were seated in the auditorium.

As per the given table, in level 1, the total number of rows in A section is 9.

So, the number of students is

=> 9 x 6

=> 54

Similarly, there are 3 rows in Level 3 of Section B.

So, the number of students in the level 2,

=> 3 x 18

=> 54

Therefore, the total number of students is,

=> 54 + 54 = 108

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