Three playing cards are placed in a row, from left to right. Each card is of a
different suit. One card is a diamond (♦), one card is a heart (♥), and one card
is a spade (♠). The number on each card is also different. One card is a 3, one
card is a 7, and one card is a 9.
Using the following clues, determine the exact order of the cards, from left to
right, including the suit and number.
1. The diamond is somewhere to the right of the spade.
2. The 7 is somewhere to the left of the spade.
3. The 9 is somewhere to the right of the 3.

The correct answer is d. homogeneous.

A completely randomized design is useful when the experimental units are

homogeneous.

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Answer:

98.9

Step-by-step explanation:

115 - 20% = 92
92 + 7.5% = 98.9

Answer:

the original price is 115 after we subtract 20% we are left with 92 so now

the price of the coffee table is 92 but with 7.5% as tax, the final price is $98.90 since 7.5% of 92 is 6.90

Answer: never because they are both infinite.

Answer:

65

Step-by-step explanation:

The sum of the first 16 terms of an arithmetic progression (A.P) is 240

The sum of the next 4 terms is 220

The sum of n terms in an A.P is given by;

\(s_{n}\) = n/2(2a + (n - 1)d)

240 = 8(2a + 15d) ... (i)

460 = 10(2a + 19d) .... (ii)

Simplifying this gives;

2a + 15d = 30 ... (i)

2a + 19d = 46 ... (ii)

Subtracting (i) from (ii) we get;

4d = 16

d (common difference) = 4

and a (first term) = (30 - 60)/ 2 = -15

The sequence upto 21 terms is here:

-15, -11, -7, -3, 1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 51, 55, 59, 61, 65

So the next term (21^st term) is 65.

Answer:  a₂₁ = 65

Step-by-step explanation:

The Sum of an Arithmetic Progression is the sum of the first term plus the sum of the last term divided by 2 and multiplied by the number of terms.

\(a_1\ \text{is the first term}\\a_n=a_1+d(n-1)\quad \text{is the value of the nth term}\\\\\)

Let's find the 16th term (n = 16)

\(a_{16}=a_1+d(16-1)\\\\.\quad =a_1+15d\)

Now let's find the sum of the first 16 terms. This will be Equation 1:

\(S_{16}=\dfrac{(a_1)+(a_1+15d)}{2}\times 16=240\\\\\\.\qquad 8(2a_1+15d)=240\\\\\\.\qquad 2a_1+15d=30\qquad \leftarrow \text{Equation 1}\)

************************************************************************************

Repeat what we did above for the next 4 terms (n = 17 to n = 20). This will be Equation 2:

\(a_{17}=a_1+d(17-1)\\\\.\quad =a_1+16d\\\\\\a_{20}=a_1+d(20-1)\\\\.\quad =a_1+19d\)

\(S_{17-20}=\dfrac{(a_1+16d)+(a_1+19d)}{2}\times 4=220\\\\\\.\qquad 2(2a_1+35d)=220\\\\\\.\qquad 2a_1+35d=110\qquad \leftarrow \text{Equation 2}\)

*********************************************************************************************

Now we have a system of equations. Solve using the Elimination Method:

2a₁ + 15d = 30   → -1(2a₁ + 15d = 30)     →    -2a₁ - 15d = -30    

2a₁ + 35d = 110  →  1(2a₁ + 35d = 110)    →     2a₁ + 35d = 110  

                                                                             20d = 80

                                                                                  d = 4

Input d = 4 into one the equations to solve for a₁:

Equation 1: 2a₁ + 15d = 30

                  2a₁ + 15(4) = 30

                    2a₁ + 60 = 30

                             2a₁ = -30

                               a₁ = -15

Given a₁ = -15 and d = 4, we can find the next term (n = 21)

\(a_n=a_1+d(n-1)\\\\a_{21}=-15+4(21-1)\\\\.\quad =-15+4(20)\\\\.\quad = -15+80\\\\.\quad = 65\)

Answer:

x-intercept: 7; y-intercept: −9.

Step-by-step explanation:

Answer:

x=-7

y=-9

Hope I helped you

Answer:

1/42 is the answer because 1/7 divide by 6/1, so 7x6=42 and 1x1=1.

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Answer:

It must be probably √29

Step-by-step explanation:

\(distance = \sqrt{ { (- 4)}^{2} + {(5)}^{2} } \)

hope it to be the correct...

The magnitude of vector F is 29.73.\(\( \vec{A}=5 \hat{i}-2 \hat{j}, \vec{B}=-3 \hat{i}+4 \hat{j} \),\) and\(\( \vec{F}=2 \vec{A}-4 \vec{B} \).\)

We need to find the magnitude of \(\( \vec{F} \)\).The magnitude of a vector is defined as the square root of the sum of squares of its components.

It can be mathematically represented as
,\(\[\left | \vec{A} \right | = \sqrt{\vec{A}\cdot \vec{A}}\]\)
Using this formula, we can find the magnitude of vector F as

\(,\[\vec{F}=2 \vec{A}-4 \vec{B} \]\[\vec{F}=2 (5 \hat{i}-2 \hat{j})-4 (-3 \hat{i}+4 \hat{j})\]\[\vec{F}=10\hat{i}-4\hat{j}+12\hat{i}-16\hat{j}\]\[\vec{F}=22\hat{i}-20\hat{j}\]\)

The magnitude of the vector F is
,\(\[\left | \vec{F} \right | = \sqrt{\vec{F}\cdot \vec{F}}\]\[\left | \vec{F} \right | = \sqrt{(22\hat{i})^2+(-20\hat{j})^2}\]\[\left | \vec{F} \right | = \sqrt{484+400}\]\[\left | \vec{F} \right | = \sqrt{884}\]\[\left | \vec{F} \right | = 29.73\]\)

Therefore, the magnitude of vector F is 29.73.

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So the vector  form of the equation is: y = -1(x - 2)² + 3.

To convert from standard form to vertex form, we complete the square by following these steps:

Factor out the coefficient of the x-squared term:

y = -x² + 4x - 1

= -1(x² - 4x) - 1

To complete the square inside the parentheses, add and subtract the square of half of the coefficient of the x-term (-4/2)^2 = 4:

y = -1(x² - 4x + 4 - 4) - 1

Simplify the expression inside the parentheses by factoring a perfect square:

y = -1((x - 2)² - 4) - 1

Distribute the -1 and simplify:

y = -1(x - 2)² + 3

Therefore, the vertex of the parabola is at (2, 3), and the negative coefficient of the x-squared term means that the parabola opens downwards.

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An Agile methodology aims for customer satisfaction through early and continuous delivery of useful software components developed by an iterative process using the bare minimum requirements.

Agile methodology is a software development approach that emphasizes flexibility, collaboration, and iterative development. It focuses on delivering value to customers by prioritizing their satisfaction and adapting to changing requirements throughout the development process. Agile methodologies, such as Scrum or Kanban, promote regular and incremental delivery of working software components.

This allows customers to provide feedback early on, ensuring that the final product meets their needs. By using an iterative approach, Agile methodologies enable teams to continuously refine and improve the software based on customer feedback and changing priorities. The emphasis on delivering useful software components and involving customers throughout the development process sets Agile apart from traditional waterfall methodologies.

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The name of the rhythm with an atrial rate greater than 250 beats per minute, a non-measurable pr interval, and a ventricular rate of 120 is

The atria, or top chambers of the heart, beat too fast in atrial flutter. As a result, the heart beats quickly yet typically in a regular rhythm.

An example of a heart rhythm disturbance (arrhythmia) brought on by issues with the heart's electrical circuitry is atrial flutter.

Atrial fibrillation, a frequent disease that causes the heart to pulse irregularly, is comparable to atrial flutter.

Atrial flutter patients have a cardiac rhythm that is less erratic and more controlled than atrial fibrillation patients. A person may occasionally have both atrial flutter and atrial fibrillation in the same episode.

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Step-by-step explanation:

let's us consider,

2angles that measures 100° and 60°

and

other 2angles be 3x and 17x

then ,

according to the quadrilateral law,

sum of all angles=360

100+60+3x+17x=360

or, 20x=360-160

or, X=200÷20

or, X=10

Now,

2angles are

or, 3x=3×10=30°

or, 17x=17×10=170°

hence, a quadrilateral has angles that measures 100°, 60°, 30°, 170°.

Answer:

700

Step-by-step explanation:

they got it for 50 and they want 759 so the answer is 700

The motion of the object which is described by the quadratic equation is a projectile motion, and the horizontal distance the object travels is 20 feet .

Projectile motion is the motion of an object which is thrust into the air and moves under the effect of gravitational force alone.

The equation in the question is; y = -x² + 16·x + 80

Where;

y = The vertical distance above the ground

x = The horizontal distance of the object

y = -x² + 16·x + 80

From which we get;

When the object hits the ground, y = 0, which indicates;

y = 0 = -x² + 16·x + 80

The value of x that is a solution to the above equation represents the distance the object travels before it reaches the ground.

-x² + 16·x + 80 = 0

x² - 16·x - 80 = 0

(x - 20)·(x + 4) = 0

x = 20 or x = -4

The distances at which the object reaches the ground are x = -4 feet or x = 20 feet

The possible distance the object will travel in the horizontal direction is 20 feet.

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Answer: 4:5

Step-by-step explanation: The lowest form

Answer:

Step-by-step explanation:

4:5

Answer:

1.)  1 ,2, 31, 62

2.)  1, 3, 5, 9

3.) 540

Step-by-step explanation:

1.)  1x62= 62

2x31= 62

31x2= 62

62x1=62

Each of these number are a multiple of 62.

2.) 1x45=45

3x15=45

5x9= 45

9x5= 45

3.) 420÷2= 210

420÷3= 140

420÷5= 84

420÷6= 70

420÷9= 46.667 This number is not a multiple of 420 because the answer is in decimals which means 9 is not divisible by 420

540÷2= 270

540÷3= 180

540÷5= 108

540÷6= 90

540÷9= 60

540÷10= 54

2, 3, 5, 6, 9 and 10 is divisible by all of these numbers

Answer:

1)  1 ,2, 31, 62

2)  1, 3, 5, 9

3.) 540

Step-by-step explanation:

1)  62 would be divisible by 2 because its an even number, and if you split 62 in half, you would get 31.

2) 4+5 = 9. 3 and 9 are both divisible by 9, and 5 is divisible by 5.

3) All of the numbers are divisible by 10, 5, and 2 in the list. 250 is not divisible by 3, so we can take it off the list.  The rest of the numbers are all divisible by 6. All we have left is 9. Both 420 and 510 add their values up to 6, which is not divisible by 9. That leaves us with 540 as our answer.

-kiniwih426

The missing part of the equation is \(-7.0\times10^4 s^2kg⋅m^2 / 1000000.\)

To fill in the missing part of the equation, let's analyze the given information and the desired conversion. The equation is:

\((-7.0\times 10^4 s^2g⋅m^2)\cdot \pi = ? s^2kg\cdot m^2\)

In this equation, we have a quantity expressed in\(s^2g\cdot m^2\) units on the left-hand side. To convert it to \(s^2kg\cdot m^2\) units, we need to multiply it by a conversion factor.

To perform the conversion, we can use the fact that 1 kg is equal to 1000 g. Therefore, the conversion factor we need is:

1 kg / 1000 g

To ensure that the units cancel out correctly, we need to square this conversion factor because we have \(s^2g\cdot m^2\) on the left-hand side. So the missing part of the equation is:

\((-7.0\times 10^4 s^2g\cdot m^2)\cdot \pi = (-7.0\times 10^4 s^2g\cdot m^2)\cdot (1 kg / 1000 g)^2\)

Simplifying this expression, we get:

\((-7.0\times10^4 s^2g\cdot m^2)\cdot \pi = -7.0 \times10^4 s^2kg\cdot m^2 / 1000000\)

Therefore, the missing part of the equation is \(-7.0 \times 10^4 s^2kg\cdot m^2 / 1000000.\)

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Answer:

u are seriously of 3rd Grade?

Answer:

yes please

Step-by-step explanation:

The hypotenuse theorem is defined by Pythagoras' theorem, According to this theorem,    \(hypotenuse^2=base^2+perpendicular^2\)

The term "hypotenuse" refers to a right-angled triangle's longest side as compared to the base and perpendicular lengths. The right angle, the largest angle of the three angles in a right triangle, is opposite the hypotenuse side. In essence, only the right triangle possesses the hypotenuse feature, not any other triangles. When we study the right-angled theorem, Pythagoras Theorem, or Pythagorean Theorem, this is better understood.

The hypotenuse theorem is defined by Pythagoras' theorem, According to this theorem, the square of the hypotenuse side of a right-angled triangle is equal to the sum of squares of the base and perpendicular of the same triangle, such that;

Hypotenuse2 = Base2 + Perpendicular2

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Carlita has $25.17 in her checking account.

A deposit account held at a bank or other financial institution is known as a transaction account.

The amount of money in her checking account = -$ 15

She earned $87.99

Now money in her checking account = -15+87.99 = $ 72.99

She paid her phone bill worth $47.82

money in her checking account = $ ( 72.99 - 47.82 ) = $25.17

Therefore she has $25.17 in her checking account.

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Answer: she can stack the paper 57 ways

Step-by-step explanation:

Answer:

x = 7 , y = 2

Step-by-step explanation:

It is a linear equation in 2 variables so it can have infinite solutions

Put x=7 Then,

7 - 3y = 1

-3y = 1-7

-3y = -6

y = -6/-3 = 6/3

y = 2

Option C is correct. interscting lines postulate is a postulate since we do not need to prove further to check where it is true or not.

A postulate can be termed as a theorem that is true and does not require any proof to ascertain its veracity.

From the given option, angle bisector postulate, collinear lines postulate and planes postulate are not postulate since we need to prove each of the theorems to ascertain their veracity.

Based on the definition above, hence, it can be concluded that intersecting lines postulate is a postulate since we do not need to prove further to check where it is true or not.

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When y = 92, the value of x is approximately 4.07 hours. This means that if a student spends approximately 4.07 hours on their homework each week, we would expect their quiz score to be 92.

What is the linear equation?

Linear equations are the equations of degree 1. It is the equation for the straight line. The standard form of linear equation is ax+by+c =0, where a ≠ 0 and b ≠ 0.

If y = 92, we can solve for x by substituting 92 for y in the equation y = 61 + 7.6x:

92 = 61 + 7.6x

7.6x = 92 - 61

7.6x = 31

x = 31 / 7.6

x = 4.07

Therefore, when y = 92, the value of x is approximately 4.07 hours. This means that if a student spends approximately 4.07 hours on their homework each week, we would expect their quiz score to be 92.

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There are three main key terms here - Physical determinism, elitist-populist dilemma, and urban planning. They can be defined as done below.

First, we have at hand the term Physical determination which can be defined as the belief that physical objects and all physical causes can be described using terms and models of the physical sciences.

Secondly, the elitist-populist dilemma is a disagreement between two political factions. elitists are, of course, the socially and economically well-off sections of the population. The populist factions are the ones that cater to the general public and are at odds with the previous group.

Lastly, urban planning is the process of planning for development in urban areas.

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Answer:

102+39x=180

180-102=39x

78/39=x