Select the equation that is equivalent to 1/7x-4/3

Answer:

P(2,3) thats the answer ;)

Answer:

To solve the problem:

Location: Swimmers' School

Swimming Lessons: 4 classes for $56

The unit rate for classes at Swimmers' School is:

Unit rate = Total price / Number of classes

Unit rate = $56 / 4 classes

Unit rate = $14 per class

The lower unit rate is: $14 per class

The classes at Divers' Depot:

Price: 10 classes for $120

The unit rate for classes at Divers' Depot is:

Unit rate = Total price / Number of classes

Unit rate = $120 / 10 classes

Unit rate = $12 per class

Based on the unit rates, the classes at Divers' Depot ($12 per class) are the better deal compared to Swimmers' School ($14 per class). Therefore, the answer is:

Location: Divers' Depot

Step-by-step explanation:

To find the better deal, we need to find the cost per class for each option. For Swimmers' School, the cost per class is $56 / 4 = $14. For Divers' Depot, the cost per class is $120 / 10 = $12. Therefore, the better deal is Divers' Depot, because the cost per class is lower.

The value of k such that the graph of f and the graph of g only intersect one is equal to 81 and n =3/2..

we have the following expression:

f(x) = mx²+6x+k        (1)

f(x) = (kx)²-4nx+9      (2)

On comparing we can see that;

(kx)² = mx²

k² = m

Also, 4nx = 6x

n = 3/2

k = 9

then m = 9²  = 81

Therefore, the value of k such that the graph of f and the graph of g only intersect one is equal to 81.

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Answer:

XZ = 2.5 BD

Step-by-step explanation:

Comparing the two triangles,

\(\frac{BD}{BC}\) = \(\frac{XZ}{XY}\)

\(\frac{6}{8}\) = \(\frac{XZ}{20}\)

⇒ XZ = \(\frac{20*6}{8}\)

         = 15

XZ = 15

So that,

BD:XZ = 6:15

           = 1:2.5

Therefore, the relationship between BD and XZ is XZ = 2.5 BD.

Answer:

t ≤ 4x + 10

Step-by-step explanation:

The amount of money that Josh spends on rides is the variable T, found in the problem. Josh wants to spend AT MOST t. That means he can spend as little as he wants, but he can't ride too many times so that the cost goes over T. Therefore, it has to be less than. But, it can also be equal to, as he can ride exactly many rides up to T,  it just can't go over it.

Next, the cost to get into the fair is ten dollars, meaning if he goes on only one ride, that will cost him 4 dollars, but actually will have cost him 14 dollars because of the entrance fee. So, no matter how many rides he goes on, there is always the entrance fee added on.

Finally, the cost for each ride is 4 dollars per ride or 4 times x with x being the number of rides he goes on.

So, for our answer, we have t ≤ 4x + 10!

Using the angle of depression, we found that the distance between Tyle and James is 43.47 ft.

What is meant by the angle of depression?

When the observer is higher than the thing being studied, an angle of depression results. An angle is created below the horizontal line drawn with the observer's eye level and the line connecting the object and the observer's eye when an observer looks at something that is closer to them than they are. The angle of elevation, on the other hand, is the angle created when a person stands on the ground and looks up at an item that is raised above the ground at a height greater than the person's. The main distinction between the two angles is this. The notion of trigonometry is used to determine both angles.

The figure is given below,

The height h = 26.17 ft

From the right triangle, we can write,

sin 37 = 26.17/z

where z = hypotenuse

0.602 = 26.17 / z

z = 26.17 / 0.602 = 43.47 ft

Therefore using the angle of depression, we found that the distance between Tyle and James is 43.47 ft.

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Step-by-step explanation:

the formula for the area of a rectangle is

length × width

so, in our case

317.75 = length × 15.5

length = 317.75 / 15.5 = 20.5 m

Based on the information provided, a) if X has a binomial distribution, n = 5 and p = 0.256. b) X can take values in the range of 0 to 5. c) The values of P(x) for x = 0, 1, 2, 3, 4 , 5 are 0.228, 0.392, 0.269, 0.093, 0.016, and  0.011 respectively. d) mean = 1.28 and standard deviation = 0.995.

a) If X has a binomial distribution n represents the number of tickets bought which is 5 and p represents the probability of winning a prize after taking a single ticket which is 0.256.

b) X can take values in the range of 0 to 5, which indicates the possible number of won tickets. Hence, x = 0, 1, 2, 3, 4, 5. c)

Using the binomial distribution formula, P (x) = nCx*p^x*(1 – p)^(n-x). Hence,

P(0) = 5C0*(0.256)^0*(1 – 0.256)^)(5-0) = 0.228

P(1) = 5C1*(0.256)^1*(1 – 0.256)^)(5-1) = 0.392

P(2) = 5C2*(0.256)^2*(1 – 0.256)^)(5-2) = 0.269

P(3) = 5C3*(0.256)^3*(1 – 0.256)^)(5-3) = 0.093

P(4) = 5C4*(0.256)^4*(1 – 0.256)^)(5-4) = 0.016

P(5) = 5C5*(0.256)^5*(1 – 0.256)^)(5-5) = 0.011

d) The mean and standard deviation of the distribution is given by:

mean = n*p = 5*0.256 = 1.28

standard deviation = √np(1 – p) = √5(0.256)(1 – 0.256) = 0.995

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Answer:

21

Step-by-step explanation:

Since the girls have the same age, let their age be x.
Then, their average is

\(\frac{x+x}{2} = \frac{2x}{2} = x\)

Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)

Also, we have,

\(\frac{S_{8}}{8} =15 - eq(2)\)

\(\frac{S_{6}}{6} =13 - eq(3)\)

Then eq(2):

(from eq(1) and eq(3))

\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)

The average of the other two girls with equal age​ is 21

The simplification of the expression −5.55− 8.55c+ 4.35c by combining the like terms is - 5.55 - 4.20c.

Like terms can be defined as terms which has the same variable and power.

For instance,

4a + 5a²

They are not like terms, though they have the same variable a but different power of 1 and 2 respectively.

So,

−5.55− 8.55c+ 4.35c

The like terms are - 8.55c and + 4.35c

−5.55− 8.55c+ 4.35c

= - 5.55 - 4.20c

Consequently, - 5.55 - 4.20c is the simplification of −5.55− 8.55c+ 4.35c.

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Answer:

the answer is 6 ok

hope it helped

3/0 and -191/32

lmk if this is wrong, I might be.

Answer: {y | −5 ≤ y ≤ −1}

Step-by-step explanation:

The extreme values are -5 and -1.

So, the answer is {y | −5 ≤ y ≤ −1}.

Answer:

\((a + 1) ^{2} + 1\)

\(a ^{2} + 2a + 2\)

Answer:

35 boys

Step-by-step explanation:

Answer:

15/35 or 43% if your going to the nearest whole number so there are 35 boys and 15 girls

Step-by-step explanation:

Let x = the number of boys

Let 50 - x = the number of girls

Girls/Boys: 3 = 50 - x       Cross Multiply

                   7        x

3x = 350 - 7x

10x = 350

x = 35 boys

50 - x = 15 girls

Check: 15/35 = 3/7

Explanation:

Given that

Where

The next step will be to et the value of the adjacent

To find the exact values of other functions, we will have to use the

Also

Then

And finally

Answer:

a = w/p

Step-by-step explanation:

To take a out of the fraction, we can multiply both sides by a to get ap = w. Now, we divide both sides by p to get a = w/p.

Answer:

a = w/p

Explanation:

Step 1: Multiply both sides by a.

ap = w

Step 2: Divide both sides by p.

ap/p = w/p

a = w/p

Answer:

The numerator of the first fraction 8 is greater than the numerator of the second fraction 3 , which means that the first fraction 812 is greater than the second fraction 312 and that 23 is greater than 14 .

Step-by-step explanation:

Answer:

-3/2

Step-by-step explanation:

\(2 \frac{3}{4} - 4 \frac{1}{4} \\ = > \frac{11}{4} - \frac{17}{4} \\ = > \frac{ - 6}{4} \\ = > \frac{ - 3}{2} \)

All solutions in the interval [0, 2π) when cos x = sin x are π/4, and 7π/4.

Option (D) is correct

What is the trigonometric equation?

All possible values which satisfy the given trigonometric equation are called solutions of the given trigonometric equation.

The trigonometric equations involve trigonometric functions of angles as variables.

Given equation cos x = sin x

Divide by cos x on both sides

We get 1= sin x/ cos x

1 = tan x

\(x = tan^{-1}(1)\)

In the given interval [0, 2π), we have solutions as π/4 and 7π/4.

Hence, all solutions in the interval [0, 2π) when cos x = sin x are π/4, and 7π/4.

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Answer:

y + 1 = 4(x - 2)

y = 4x + 11

8x - 2y = 6

Step-by-step explanation:

Following equations are parallel to the graph 4x - y = 6, because their slopes are equal (4).

y + 1 = 4(x - 2)

y = 4x + 11

8x - 2y = 6

Answer:

16 units

Step-by-step explanation:

period = length of an interval that contains exactly one copy of the repeating pattern, so from one peak to another peak.

in this graph its the peaks are 1 and 17, hence the period is 16

Using Binomial Probability distribution,

the probability that exactly 4 of them never returned any merchandise in 2021 is 4845(0.05)²⁰.

We have given that ,

5% of customers never returned any merchandise.

probability of sucess ( i.e never returned any merchandise) = 5% = 0.05 = p

probability of failure (q) = 1- p = 0.05

Random sample (n) = 20

If X is random variable that customers who never returned any merchandise.

Using Binomial Probability distribution formula,

P(X= x) = ⁿCₓ(p)ˣ(q)⁽ⁿ⁻ˣ⁾

The probability that exactly 4 of them never returned any merchandise in 2021 = P(X=4)

= ²⁰C₄ (0.05)⁴ (0.05)¹⁶

= 20×19×18×17/4×3×2× 1 (0.05)²⁰

= 5×6×17×19/2 (0.05)20

= 4845(0.05)²⁰

Hence, the required probability is 4845(0.05)²⁰.

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Complete question:

Suppose 5% of Amazon customers never returned any merchandise in 2021.

if 20 amazon customers are randomly selected, what is the probability that exactly 4 of them never returned any merchandise in 2021?

Answer: $25

Step-by-step explanation: 25 times 3(because there are three people) =75 - 45(the amount they spent)=30 the amount they are left with all together.

it took me awhile to answer so sorry for the wait but i hope this helps.

Answer:

side BC or maybe its side AD

Step-by-step explanation:

Answer:

quadrilateral ABCD is a rectangle

Step-by-step explanation:

To determine if quadrilateral ABCD is a rectangle, rhombus, or square, we need to examine the properties of its diagonals. Let's start by finding the coordinates of the diagonals.The diagonal BD is the line segment that connects point B to point D. Its endpoints are B(-1, 2) and D(-3, 10). The coordinates of the midpoint of BD can be found by taking the average of the x-coordinates and the average of the y-coordinates of B and D, respectively.Midpoint of BD = ((-1 - 3)/2, (2 + 10)/2) = (-2, 6)The diagonal AC is the line segment that connects point A to point C. Its endpoints are A(-6, 5) and C(2, 7). The coordinates of the midpoint of AC can be found in the same way.Midpoint of AC = ((-6 + 2)/2, (5 + 7)/2) = (-2, 6)We can see that the midpoints of the diagonals are the same, which means that the diagonals are perpendicular and bisect each other. This is a property of rectangles, rhombuses, and squares.Next, we can use the distance formula to find the lengths of the diagonals.Length of BD = sqrt((-3 - (-1))^2 + (10 - 2)^2) = sqrt(10^2 + 8^2) = sqrt(164)Length of AC = sqrt((2 - (-6))^2 + (7 - 5)^2) = sqrt(8^2 + 2^2) = sqrt(68)If the diagonals of a quadrilateral are equal in length, it is a rhombus. If the diagonals are equal in length and the quadrilateral is a rectangle, it is a square. In this case, the diagonals are not equal in length, so we can conclude that quadrilateral ABCD is a rectangle.Finally, we can check the slopes of the sides of the quadrilateral to confirm that opposite sides are parallel. The slope of AB is (2 - 5)/(-1 - (-6)) = 3/5. The slope of CD is (10 - 7)/(-3 - 2) = 3/5. The slope of BC is (7 - 2)/(2 - (-1)) = 5/3. The slope of AD is (10 - 5)/(-3 - (-6)) = 5/3. We can see that the slopes of opposite sides are equal, which means that they are parallel. Therefore, quadrilateral ABCD is a rectangle.

The given quadrilateral is a square.

Quadrilaterals are four sided polygons which also have four vertices and four angles.

Sum of all the interior angles of a quadrilateral is 360 degrees

The vertices of the given quadrilateral are,

A(-6,5), B(-1,2), C(2,7), and D(-3,10).

Here AC and BD are the lengths of the diagonals.

Using the distance formula,

AC = \(\sqrt{(2--6)^2+(7-5)^2}\) = \(\sqrt{8^2+2^2}\) = √68

BD = \(\sqrt{(-3- -1)^2+(10-2)^2}\) = \(\sqrt{(-2)^2+8^2}\) = √68

Diagonals are equal in length, so the quadrilateral is either square or rectangle. (Since diagonals of a rhombus are not equal)

Calculate the length of adjacent sides.

AB = \(\sqrt{(-1--6)^2+(2-5)^2}\) = \(\sqrt{5^2+(-3)^2}\) = √34

BC = \(\sqrt{(2--1)^2+(7-2)^2}\) = \(\sqrt{3^2+5^2}\) = √34

Adjacent sides are equal. So the quadrilateral is a square.

To prove opposite sides are parallel and adjacent sides are perpendicular, find the slope of each side.

Parallel sides will have equal slope and perpendicular sides will have the product of slopes -1.

Slope of AB = (2 - 5) / (-1 - -6) = -3/5

Slope of BC = (7 - 2) / (2 - -1) = 5/3

Slope of CD = (10 - 7) / (-3 - 2) = 3/-5 = -3/5

Slope of AD = 5/3

Hence the parallel sides have equal slope and perpendicular sides have the product of slopes -1.

Hence the given is a square.

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The system of equations which used to determine the length ,L, and the width , W, of the rectangular garden are, L + W = 21 and L - 2W = 5.

Let the length of rectangular garden

= L feet

and the width of rectangular garden

= W feet

We have , perimeter of a rectangular garden = 42 feet

As we know , the perimeter of a rectangle with length, L and width, W is = 2(L+ W)

so, 2(L+ W) = 42 feet

dividing by 2 both sides

=> L + W = 21 ---(1) , which is a linear equation. Now, it is say in problem that length of rectangular garden is 5 ft more than twice the width, i.e., L = 5 + 2W

=> L - 2W = 5 --(2)

To determine the dimensions, we have to solve the system of equations, (1) and (2)

Substract the equation (2) from (1),

L + W -( L - 2W) = 21 - 5

=> L + W - L + 2W = 16

=> 3W = 16

=> W = 16/3 feet

plugging the value of W in equation (1) ,

L = 21 - W = 21 - 16/3 = 47/3 feet

Hence, the required system of equations are L + W = 21 and L - 2W = 5.

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The intervals of concavity for f(x) = 3 cos x, with 0 < x < 21, are (0, π/2) and (3π/2, 2π).

To find the intervals of concavity for f(x) = 3 cos x, we need to analyze the second derivative of the function.

First, let's find the second derivative of f(x):

f'(x) = -3 sin x (derivative of cos x)

f''(x) = -3 cos x (derivative of -3 sin x)

Now, we can analyze the concavity of f(x) by considering the sign of the second derivative:

When x ∈ (0, π/2): In this interval, cos x > 0, so f''(x) < 0. The second derivative is negative, indicating concavity downwards.

When x ∈ (π/2, 3π/2): In this interval, cos x < 0, so f''(x) > 0. The second derivative is positive, indicating concavity upwards.

When x ∈ (3π/2, 2π): In this interval, cos x > 0, so f''(x) < 0. The second derivative is negative, indicating concavity downwards.

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Answer:

A. 17

Step-by-step explanation:

Let X be the intersection of lines QR and NP.

By Power of a Point, we have \(QX\cdot XR=NX\cdot XP.\)

(This can be proven with similar triangles by connecting QN and PR and using proportions with similar triangles \(\triangle QXN\) and \(\triangle RXP\).)

Plugging the values we know into \(QX\cdot XR=NX\cdot XP,\) we have

\(12\cdot(x-2)=(3x-1)\cdot 3\).

Dividing both sides by 3 gives

\(4(x-2)=3x-1.\)

Distributing the left hand side gives

\(4x-8=3x-1.\)

Subtracting 3x from both sides, we have

\(x-8=-1.\)

Finally, adding 8 to both sides, we have

\(x=7.\)

The question asks to find QR. (I'm assuming this is what you meant in the question.) With the lengths given, we know

\(QR=12+(x-2)=x+10.\)

Therefore, plugging x in gives us

\(\boxed{QR=17.}\)

Answer:

The amount he used. (0.8)

Step-by-step explanation:

1.5 - 0.8 = 0.7, which would also be the amount he has left. 0.8 > 0.7

Answer:

Ohhh fancy Smart im not that smart LOL

Step-by-step explanation:

Have A Wonderful Day !!