the area of a parallelogram is 72 inches. what is the height?

Answer:

7, 2, -3, -8

Step-by-step explanation:

y = -5x + 2  Substitute in -1 for x

y = -5(-1) + 2

y = 5 + 2

y = 7

y = -5x + 2  Substitute in 0 for x

y = -5(0) + 2

y = 0 + 2

y = 2

y = -5 + 2 substitutes in 1 for x

y = -5(1) + 2

y = -5 + 2

y = -3

y = -5x + 2  Substitute in 2 for x

y = -5(2) + 2

y = -10 + 2

y = -8

Helping in the name of Jesus.

Answer:

3 sqrt(5) =c

Step-by-step explanation:

We can use the pythagorean theorem

a^2 + b^2 = c^2

3^2 + 6^2 = c^2

9+36 = c^2

45 = c^2

Take the square root of each side

sqrt(45) = sqrt(c^2)

sqrt(9)sqrt(5) = c

3 sqrt(5) =c

The essays that she can review in 1 hour would be; 2 2/3.

A fraction represents a part of a number or any number of equal parts.

We are given that English teacher reviewed 2 /3 of an essay in 1/ 4 of an hour.

Thus, Fraction of the essay reviewed = 2/3

Amount of time used = 1/4

Therefore, the fraction of essay for an hour can be calculated as;

= Fraction of the essay reviewed / Amount of time used

= 2/3 ÷ 1/4

= 2/3 × 4

= 8/3

= 2 2/3

Hence, She will review 2 2/3 essay.

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Answer:

Stephanie

Step-by-step explanation:

Answer:

steaphanie im pretty sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

center=(-1,1)

radius=√16=4

distance between (-1,1) and (3,1)=√[(3+1)²+(1-1)²]=√[16+0]=√16=4=radius

Hence point lies on the circle.

Given:

The given two points are

Required:

To find the distance between the given two points.

Explanation:

The diatnce between the two points is given by

Final Answer:

The option A is correct.

5 units.

Answer:

Step-by-step explanation:

What are the other colors?

if there are two colors ( red and another color ) then the probability of the pointer landing on red will be 1/2

similarly if there are 3 colors ( red and two other colors) then the probability of the pointer landing on red will be 1/3 ....

depends on how many colors are there

Let's denote the amount Jolene invested at 3 percent interest as 'x' dollars. Since she put twice as much in the lower-yielding account, the amount she invested at 9 percent interest would be '2x' dollars.

To calculate the interest earned from each account, we'll use the formula: Interest = Principal × Rate × Time.

For the 3 percent interest account:

Interest_3_percent = x × 0.03

For the 9 percent interest account:

Interest_9_percent = 2x × 0.09

We know that the total annual interest is $3120, so we can set up the equation:

Interest_3_percent + Interest_9_percent = 3120

Substituting the above equations, we have:

x × 0.03 + 2x × 0.09 = 3120

Simplifying the equation:

0.03x + 0.18x = 3120

0.21x = 3120

Dividing both sides of the equation by 0.21:

x = 3120 / 0.21

x = 14857.14

Therefore, Jolene invested approximately $14,857.14 at 3 percent interest and twice that amount, $29,714.29, at 9 percent interest.

Answer:

Step-by-step explanation:

X is the amount invested at 6%

Y is the amount invested at 9%

0.06X + 0.09Y = 4998

X = 2Y

0.06(2Y) + 0.09Y  = 4998

.12Y + 0.09Y = 4998

0.21Y = 4998

21Y = 499800

Y = 499800/21 = 23800

So X = 2*23800 = 47600

$47,600 is invested at 6% and $23800 is invested at 9%

Answer:

y=7/3

Step-by-step explanation:

Answer:

7/3 = y

Step-by-step explanation:

-5+8=-3y+10

3 = -3y + 10

Subtract 10  from each side

3- 10 = -3y +10-10

-7 = -3y

Divide each side by -3

-7/-3 = -3y/-3

7/3 = y

Answer:

Just find the button to ask a question. Search around for it.

Step-by-step explanation:

Answer find the button to ask a question.  you can search around for it

Step-by-step explanation:

From the options given the correct answer is ∠ABC. This angle can also be called ∠CBA

We can conclude that the hypotheses of the Existence and Uniqueness Theorem are satisfied in any rectangular region in the ty-plane that does not contain the curve t² + y² = -1.

The Existence and Uniqueness Theorem for first-order ordinary differential equations states that if a differential equation of the form y' = f(t, y) satisfies the following conditions in some rectangular region in the ty-plane:

1. f(t, y) is continuous in the region.

2. f(t, y) satisfies a Lipschitz condition in y in the region, i.e., there exists a constant L > 0 such that |f(t, y₁) - f(t, y₂)| ≤ L|y₁ - y₂| for all t and y₁, y₂ in the region.

then there exists a unique solution to the differential equation that passes through any point in the region.

In the case of the differential equation y' = (y cot(2t)) / (t² + y² + 1), we have:

f(t, y) = (y cot(2t)) / (t² + y² + 1)

This function is continuous everywhere except at the points where t² + y² + 1 = 0, which is the curve t² + y² = -1 in the ty-plane. Since this curve is not included in any rectangular region, we can say that f(t, y) is continuous in any rectangular region in the ty-plane.

To check if f(t, y) satisfies a Lipschitz condition in y, we can take the partial derivative of f with respect to y and check if it is bounded in any rectangular region. We have:

∂f/∂y = cot(2t) / (t² + y² + 1) - (2y² cot(2t)) / (t² + y² + 1)²

Taking the absolute value and simplifying, we get:

|∂f/∂y| = |cot(2t) / (t² + y² + 1) - (2y² cot(2t)) / (t² + y² + 1)²|

= |cot(2t) / (t² + y² + 1)| * |1 - (2y² / (t² + y² + 1)))|

Since 0 ≤ (2y² / (t² + y² + 1)) ≤ 1 for all t and y, we have:

1/2 ≤ |1 - (2y² / (t² + y² + 1)))| ≤ 1

Also, cot(2t) is bounded in any rectangular region that does not contain the points where cot(2t) is undefined (i.e., where t = (k + 1/2)π for some integer k). Therefore, we can find a constant L > 0 such that |∂f/∂y| ≤ L for all t and y in any rectangular region that does not contain the curve t² + y² = -1.

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Answer:

Experiment 1 and 3 are clear binomial experiments.

Experiment 2 needs tweaking to be a binomial experiment.

Check Explanation.

Step-by-step explanation:

A binomial experiment is one in which

1) The probability of success doesn't change with every run or number of trials.

2) It usually consists of a fixed number of runs/trials with only two possible outcomes, a success or a failure.

3) The outcome of each trial/run of a binomial experiment is independent of one another.

Checking each of the experiments one at a time

- You observe the gender of the next 850 babies born at a local hospital. The random variable represents the number of boys.

For this experiment,

1) The probability of success doesn't change with every run or number of trials as it is a 50% chance that each child examined is a boy.

2) It consists of a fixed number of runs (850) with only two possible outcomes, success (if it's a boy) and failure (if it's a girl).

3) The probability of each trial being a boy is independent from all the other trials.

Hence, this experiment is a binomial experiment.

- You draw a marble 350 times from a bag with three colors of marbles. The random variable represents the color of marble that is drawn.

For this experiment,

1) If the marbles aren't being replaced after each draw, the probability of success, that is, picking a particular marble colour changes from trial to trial.

2) Although, it consist of a fixed number of runs/trials, there are more than two possible outcomes with 3 types of colours. Unless the experiment focuses on one colour and treats the other two colours as 'others', this condition too isn't satisfied.

3) Without replacement, the probability of success (picking a particular marble colour) in one trial isn't independent of the other trials.

This is not a binomial experiment as it doesn't satisfy all the required conditions to be one.

- Testing a cough suppressant using 820 people to determine if it is effective. The random variable represents the number of people who find the cough suppressant to be effective.

1) The probability of success doesn't change with every run or number of trials as it is the same chance that each person finds the cough suppressant to be effective.

2) It consists of a fixed number of runs (820) with only two possible outcomes, success (cough suppressant is effective) and failure (cough suppressant isn't effective).

3) The probability of each trial being a person that finds the cough suppressant to be effective, is independent from all the other trials.

Hence, this experiment is a binomial experiment.

Hope this Helps!!!

Answer: 26129.6

Step-by-step explanation:

6721 x 381 = 2560701

14 + 84 = 98

2560701  / 98 = 26129.6

The values of the coordinates x and y is P ( 6 , 3 )

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( x , y )

Let the second point be Q ( 0 , 0 )

Now , the slope of the line is m₁ = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m₁ = y / x

m₁ = 1/2

So , y/x = 1/2

And , x = 2y

Now , the third point is R ( 7 , 5 )

m₂ = ( 5 - y ) / ( 7 - x )

m₂ = 2

On simplifying , we get

( 5 - y ) / ( 7 - x ) = 2

Multiply by ( 7 - x ) , we get

5 - y = 14 - 2x

Adding 2x and subtracting 5 on both sides , we get

2x - y = 9

Substitute the value of x from m₁ , we get

2 ( 2y ) - y = 0

3y = 9

Divide by 3 on both sides , we get

y = 3

And , the value of x = 6

Hence , the coordinate of the point P is P ( 6 , 3 )

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Julia needs to buy 42 packets of patties to make 500 hamburgers for the school function

An equation is an expression that shows how two or more numbers and variables are related using mathematical operations of addition, subtraction, multiplication, division, exponents and so on.

Hamburger patties are sold in packets of 12. Let x represent the number of packet of patties to be bought to make 500 hamburgers. Hence:

12x = 500

x = 500/12

x = 41.67

x≅ 42

Julia needs to buy 42 packets

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Since $ASHY$ is a square and $AY=5$, we have $AS=SY=5\sqrt{2}$. Since $ABDC$ is a square and $AB=1$, we have $AC=\sqrt{2}$, so $CY=5\sqrt{2}-\sqrt{2}=4\sqrt{2}$. Finally, since $EFHG$ is a square and $EF=1$, we have $EG=GF=1\sqrt{2}$.

[asy] size(6cm); defaultpen(black+1); pair a=(0,5); pair b=(1,5); pair c=(0,4); pair d=(1,4); pair e=(4,1); pair f=(5,1); pair g=(4,0); pair h=(5,0); pair y=(0,0); pair s=(5,5); draw(a--s--h--y--a); draw(c--d--b,gray); draw(g--e--f,gray); draw(d--y--e--s--d); dot(a); dot(b); dot(c); dot(d); dot(e); dot(f); dot(g); dot(h); dot(y); dot(s); label("$A$",a,NW); label("$B$",b,N); label("$C$",c,W); label("$D$",d,SE); label("$E$",e,NW); label("$F$",f,E); label("$G$",g,S); label("$H$",h,SE); label("$Y$",y,SW); label("$S$",s,NE); label("$1$",(a+b)/2,N); label("$\sqrt{2}$",(c+d)/2,N); label("$1\sqrt{2}$",(e+f)/2,N); label("$5$",(a+s)/2,W); label("$5$",(s+h)/2,E); label("$5\sqrt{2}$",(a+s)/2,NE); label("$5\sqrt{2}$",(s+h)/2,NW); label("$4\sqrt{2}$",(s+y)/2,NW); [/asy]

We can now compute the area of quadrilateral $DYES$ by subtracting the areas of triangles $DYE$ and $YES$ from the area of square $DESY$.

We have $[DYE]=\frac{1}{2}\cdot DY\cdot YE=\frac{1}{2}\cdot(4\sqrt{2})\cdot(5\sqrt{2}-1)=38-2\sqrt{2}$ and $[YES]=\frac{1}{2}\cdot YS\cdot ES=\frac{1}{2}\cdot(5\sqrt{2})\cdot(1\sqrt{2})=\frac{25}{2}$.

The area of square $DESY$ is $(DY+YE)^2=(4\sqrt{2}+5\sqrt{2}-1)^2=100-18\sqrt{2}$. Thus, the area of quadrilateral $DYES$ is \begin{align*}

[DESY]-[DYE]-[YES]&=\left(100-18\sqrt{2}\right)-\left(38-2\sqrt{2}\right)-\left(\frac{25}{2}\right)\

&=61-\frac{49}{2}\sqrt{2}.

\end{align*}Therefore, the area of quadrilateral $DYES$ is $\boxed{61-\frac{49}{2}\sqrt{2}}$.

Answer:

119 pounds

Step-by-step explanation:

Glass :

1) 9 pounds

2) 8 pounds

9 + 8 = 17 pounds

Newspaper

1) 123 pounds

2) 13 pounds

123 + 13 = 136 pounds

136 - 17 = 119 pounds

Answer:

3, 2√2, √7

Step-by-step explanation:

compute the square roots of the next three prime numbers:

√7

√11

√13

Therefore, the next three terms of the sequence are:

{1, √2, √3, 2, √5, √7, √11, √13}

chatgpt

chat

Understanding:

First of all, each time Xavier buys lunch he saves a nickel. That means if he buys lunch twice, he is saving 2 nickels, buys 3 times he saves 3 nickels, and so on. To solve this problem we can simply add the times he bought lunch and that will equal the value of nickles he saved so far.

Solution:

First-week savings = 4 nickels

Second-week savings = 2 nickels

Simply, adding those together gives us 6 nickels.

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

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Answer:

3x + 2 4 5x

Step-by-step explanation:

The solution of the equation formed 3x + 5x = 4 - 2 will be; x = 1/4.

An equation is an expression that shows the relationship between two or more numbers and variables.

We have given that sum of 3 times the value of x and 2 is equal to 4 less than 5 times the value of x then;

The sum of 3 times the value of x and 2 means (3x + 2)

4 less than 5 times the value of x means (4 - 5x)

Therefore, the equation would be;

3x + 2 = 4 - 5x

Now solving for x;

3x + 5x = 4 - 2

8x = 2

x = 1/4

Hence, the solution of the equation formed 3x + 5x = 4 - 2 will be; x = 1/4.

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The deer made 8 tracks, the fox made 4 tracks, and the dog made 12 tracks.

Let's start by defining variables for the number of tracks made by each animal.

Let:

d be the number of tracks made by the deer,

f be the number of tracks made by the fox, and

x be the number of tracks made by the dog

From the problem, we know that:

d + f + x = 24 ......(1)

We also know that:

d = x - 4   .......(2)

d = f + 4   ..........(3)

from this we can rightfully assume that the dog made half the tracks hence

x = 12 tracks

d = 12 - 4 = 8

solving for f

d = f + 4

f = d - 4 = 8 - 4 = 4

we can therefore say that the dog made 12 tracks, the deer made 8 tracks while the fox made 4 tracks

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Answer:

theres no picture or something for the value of k

Answer:

241.2

Step-by-step explanation:

Divide 201 by 10

\(201/10=20.1\)

Multiply 20.1 by 12

\(20.1 * 12 = 241.2\)

The answer is 241.2

Using conditional probability, it is found that there is a 0.3266 = 32.66% probability that the person first went on tour T2.

Conditional Probability

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

In this problem:

The percentages associated with a return are:

Hence:

\(P(A) = 0.75(0.5) + 0.667(0.3333) + 0.5(0.1667) = 0.6806611\)

The probability of both returning and first going on T2 is:

\(P(A \cap B) = 0.667(0.3333)\)

Hence, the conditional probability is:

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.667(0.3333)}{0.6806611} = 0.3266\)

0.3266 = 32.66% probability that the person first went on tour T2.

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Answer:

y=4

Step-by-step explanation:

The triangle on the right is a 30-60-90 triangle

The ratio of sides in a 30-60-90 triangle is 1:√3:2

y:x:8

SO y will be 4 because 8/y=2/1

Answer: V≈1385.44m

Step-by-step explanation:  V=π(d2)2h=π·(142)2·9≈1385.44236m³

Answer:

10 = 24

Step-by-step explanation:

\(8(x - 6) + 58 = - 3(2x - 8) + 14x\)

\(8x - 48 + 58 = - 6x + 24 + 14x\)

\(8x + 10 = 8x + 24\)

\(10 = 24\)

x €\( \O\)