Find the slope of the line that passes through (10, 2) and (3, 7).

Answer:

1 5/24

Step-by-step explanation:

5/6 + 3/8

LCM of 6&8=24

(5/6)*4 =20/24

(3/8)*3=9/24

20+9/24= 29/24

QRD(Quotuient,Reminder,Divisor)

= 1 5/24

B.

Answer:

The second option, 1 5/24

Step-by-step explanation:

First off, find da flipping LCD UnU

6: 6, 12, 18, 24, 30

8: 8, 16, 24, 32, 40

We find that it is 24 UwU

5 x 4 = 20

6 x 4 = 24

5/6 - > 20/24

3 x 3 = 9

8 x 3 = 24

3/8 - > 9/24

20/24 + 9/24 = 29/24

29 - 24 = 5

29 ÷ 29 = 1

1 5/24

top one : frame A.

bottom one : 6 inches

Answer:

Give brainliest to the other person who answered

Step-by-step explanation:

Have a fantastic day!

Answer: The differential equations is

y3 3x3logx = 8x3.

Step-by-step explanation:

break the given original- value problem. The DE is homogeneous. xy2dy/ dx = y3- x3; y( 1) = 2.

result

Given a homogenous discriminational equation, xy2 dy/ dx = y3- x3

xy2dy/ dx = y3- x3

dy/ dx = ( y3- x3)/ xy2

dy/ dx = (( y/ x) 3- 1)/( y2/ x2)---( 1)

Put y/ x = v ⇒ y = xv

separatew.r.t x

dy/ dx = x.dv/ dx v

Equation( 1) becomes,

⇒ dv/ dx v = ( v3- 1)/ v2

⇒ dv/ dx = (( v3- 1)/ v2)- v

⇒ dv/ dx = ( v3- 1- v3)/ v2

v2. dv = -1/x.dx

Integrate on both sides, we get

∫ v2. dv = ∫- 1/x.dx

v3/ 3 = - logx C

1/3( y3/ x3)) log x = C( 2)

Now, given that y( 1) = 2

Substituting y = 2 and x = 1 in equation( 2)

(1/3) ×(23/13)) log 1 = C

C = 8/3

From equation( 2), we get

⇒( y3/ 3x3) logx = 8/3

thus, the needed differential equation is y3 3x3logx = 8x3.

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Answer:

45x - 60y

Step-by-step explanation:

15 × 3x = 45x

15 × 4y = 60y

put them together

45x - 60y

Answer:

Step-by-step explanation:tbh I’m kinda stumped

The 30th term a30 of the sequence is -1445

The definition of the function is given as

arithmetic sequence of 1,-4,-9,-14

The above definitions imply that we simply subtract 5 from the previous term to get the current term

Using the above as a guide,

so, we have the following representation

First term, a = 1

Common difference, d = 5

An arithmetic sequence is represented as

a(n) = a + (n - 1)d

For the 30th term, we have

a(30) = a + 29d

So, we have

a(30) = 1 + 29 * -5

Evaluate

a(30) = -144

Hence, the value of a30 is -144

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Answer:

Yes i think you did it right because its +3 - 2

Answer:

C=pi x diameter

diameter=C/pi

I dont know what your teacher wants in terms of pi but lets use 3.14 and π

907.46/3.14=289.0 units

907.46/π=288.85

Answer:

A is 30 inches

b is Yes

c

Step-by-step explanation:

The reflection across the y-axis of a function f(x) is obtained by negating the value of the independent variable x. In other words, the reflection of f(x) across the y-axis is a function g(x) such that g(x) = -f(x).

Therefore, if f(x) = x, then the reflection of f(x) across the y-axis is g(x) = -x.

Written in the form mx + b, where m and b are integers, the function g(x) can be written as:

g(x) = (-1)x + 0

= -x + 0

= -x

So the reflection of f(x) = x across the y-axis is g(x) = -x.

What is function?

A function is a mathematical relationship between two sets of quantities, called the independent variable and the dependent variable. In a function, the independent variable is the input, and the dependent variable is the output.

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Answer:

z = 600

Step-by-step explanation:

Method 1 - ratios

If 150 is 25% then z is 100%:

\(\begin{aligned} 150 : 25 & = z : 100\\\dfrac{150}{25} & = \dfrac{z}{100}\\150 \cdot 100 & = 25z\\15000 & = 25z\\z & = \dfrac{15000}{25}\\z & = 600 \end{aligned}\)

Method 2

Calculate the amount for 1%, then multiply by 100% to find z:

25% = 150

⇒ 1% = 150 ÷ 25 = 6

⇒ z = 100% = 6 x 100 = 600

To solve this problem, we need to use the formula for the nth term of an arithmetic sequence:
an = a1 + (n-1)d  where a1 is the first term, d is the common difference, and n is the term number.  This means that the first term is 118, the common difference is -6, and each subsequent term is found by subtracting 6 from the previous term.

We know that the 4th term is 100, so we can substitute this into the formula:
a4 = a1 + (4-1)d
100 = a1 + 3d

Similarly, we know that the 13th term is 46:
a13 = a1 + (13-1)d
46 = a1 + 12d
Now we have two equations with two unknowns (a1 and d), which we can solve by elimination or substitution. I will use elimination:
100 = a1 + 3d
-46 = -a1 - 12d
------
54 = -9d
d = -6
Now we can substitute d back into one of the equations to solve for a1:
100 = a1 + 3(-6)
a1 = 118
Therefore, the expression for the general term of the arithmetic sequence is:
an = 118 - 6(n-1) or  an = 124 - 6n

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To find the y-coordinate of point P on the unit circle, given that its x-coordinate is 5/13, we can utilize the Pythagorean identity for points on the unit circle.

The Pythagorean identity states that for any point (x, y) on the unit circle, the following equation holds true:

x^2 + y^2 = 1

Since we are given the x-coordinate as 5/13, we can substitute this value into the equation and solve for y:

(5/13)^2 + y^2 = 1

25/169 + y^2 = 1

To isolate y^2, we subtract 25/169 from both sides:

y^2 = 1 - 25/169

y^2 = 169/169 - 25/169

y^2 = 144/169

Taking the square root of both sides, we find:

y = ±sqrt(144/169)

Since we are dealing with points on the unit circle, the y-coordinate represents the sine value. Therefore, the y-coordinate of point P is:

y = ±12/13

So, the y-coordinate of point P can be either 12/13 or -12/13.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

(a) No, because unbiasedness does not imply consistency. (b) θ^ is more efficient than θ~ if it has a smaller variance. (c) No because bias alone does not determine proximity to θ. (d) θ^ is preferred based on MSE; MSE of θ^ is (0.06), MSE of θ~ is (0.08).


(a) No, the fact that θ^ is an unbiased estimator of θ does not imply that it is also consistent. Unbiasedness refers to the absence of systematic error on average, whereas consistency refers to the behavior of the estimator as the sample size increases. An estimator is consistent if it converges to the true parameter value as the sample size increases. Therefore, unbiasedness alone does not guarantee consistency.

(b) To determine which estimator is more efficient, we compare their variances. The estimator with the smaller variance is considered more efficient. Given that Var(θ^) = 0.02 and Var(θ~) = 0.07, θ^ has a smaller variance and is thus more efficient.

(c) No, it is not correct to state that the value of θ^ must be closer to θ than the value of θ~ based solely on the bias properties. Bias refers to the systematic error or deviation from the true parameter value, while closeness or proximity to θ depends on both bias and variance. Even if θ^ is unbiased, it may still have a larger variance than θ~, which can affect its closeness to θ. Therefore, bias alone is not sufficient to determine which estimator is closer to the true parameter value.

(d) The mean squared error (MSE) of an estimator is the sum of its variance and the square of its bias. Mathematically, MSE(θ^) = Var(θ^) + Bias(θ^)² and MSE(θ~) = Var(θ~) + Bias(θ~)².
Given that Var(θ^) = 0.02, Bias(θ^) = -0.2, Var(θ~) = 0.07, and Bias(θ~) = 0.1, we can compute the MSEs as follows:
MSE(θ^) = 0.02 + (-0.2)² = 0.02 + 0.04 = 0.06
MSE(θ~) = 0.07 + 0.1² = 0.07 + 0.01 = 0.08
Comparing the MSE values, we see that the MSE of θ^ is 0.06, while the MSE of θ~ is 0.08. Therefore, based on MSE, θ^ is preferred as it has a smaller mean squared error, indicating better overall performance as an estimator.

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Answer:  (i) 1/221     (ii) 11/221      (iii) 95/663        (iv) 1/663

Step-by-step explanation:

(i) A deck of cards contains 4 Kings out of 52 total cards

1st draw: 4 Kings out of 52 total cards → 4/52 = 1/13

2nd draw: 3 remaining Kings out of 51 total remaining cards  →  3/51 = 1/17

  1st Draw                   2nd Draw                  Outcome         Probability

 King: P(K) = 1/13        King: P(K₂/K₁) = 1/17     King, King       (1/13) x (1/17) = 1/221

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

(ii) A deck of cards contains 4 Jacks, 4 Queens, & 4 Kings out of 52 total cards

1st draw: 12 Face cards out of 52 total cards → 12/52 = 3/13

2nd draw: 11 remaining Face cards out of 51 total remaining cards  →  11/51

1st Draw                 2nd Draw                  Outcome       Probability

 Face: P(F) = 3/13    Face: P(F₂/F₁) = 11/51   Face,Face     (3/13) x (11/51) = 11/221

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

(iiI) A deck of cards contains 26 black cards out of 52 total cards but there are 2 black Jacks, 2 black Queens, and 2 black Kings.

1st draw: 20 Black (not Face) cards out of 52 total cards → 20/52 = 5/13

2nd draw: 19 remaining Black (not Face) cards out of 51 total remaining cards  →  19/51

  1st Draw                 2nd Draw                       Outcome   Probability

Black: P(B~) = 5/13   Black: P(B~₂/B~₁) = 19/51    B~,B~    (5/13) x (19/51) = 95/663

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

(ii) A deck of cards contains 4 Aces out of 52 total cards

1st draw: 4 Aces out of 52 total cards → 4/52 = 1/13

2nd draw: 1 Queen of Hearts out of 51 total remaining cards  →  1/51

  1st Draw                 2nd Draw                   Outcome         Probability

 Ace: P(A) = 1/13      Qh: P(Qh₂/A₁) = 1/51   Ace,Queen(h)   (1/13) x (1/51) = 1/663

Clark spends $ 12775 on these items which he does not need in a year (if we consider 365 days) where the average spend in a month is $35.

Clark finds that in an average month, he spends $35 on things he really doesn't need and can't afford.

Let us consider the month in consideration here to be of 30- days and ignore any months other number of days.

Thus, calculating the average, say x' , by formula, we get,

x' = (Summation of values of all observations ) / ( Number of observations)

⇒ 35 = Total spend / 30

⇒ Total spend = $ ( 35*30)

⇒ Total spend = $ 1050

Therefore, total spend on a year, that is 12 months (considering all months to be of 30- days ) = $( 1050*12) = $ 12600

But we know a year does not have 360 days. So we calculate the total spend on these 5 days where average month spend is $35 is $175.

Hence the total spend for a year with 365 days is = $( 12600 + 175 ) = $12775

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Answer:

D

Step-by-step explanation:

The same line, two

＜7＋＜8＝180

Because <8=105

So，＜7＝180-105＝75

Given : -

So, <7 = 75°✅

»Option (D.)

A SSS (side-side-side) theorem is kind of Congruence rule where two triangles with three congruent sides. So, we can solve it by showing the congruency between two triangles.

Statement: Side-Side-Side (SSS) ,the congruence theorem states that two triangles are congruent if three of their sides are equal to the corresponding sides of the other triangle.

Proof: Given, AB = DE, BC = EF, AC = DF.

To prove: ΔABC ≅ ΔDEF.

We know that the three sides of both triangles are equal in size and length. With both triangles superimposed, DE is placed on AB, EF is placed on BC, and DF is placed on AC. That is, AB = DE, BC = EF, AC = DF. Therefore, we can say that ΔABC ≅ ΔDEF.

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Answer:

3) 30 dollars

Step-by-step explanation:

y = 15x + 10 for Gerry's Gym. Substitute x with 6. You get 100.

y = 5x + 40 for Frank's Fitness Gym. Substitute x with 6. You get 70.

Subtract 100-70 for 30.

Hope it helps!

Answer:

for the fill in the blank

After THREE months the total cost of each gym will be the same.

At that time both gyms will have charged you a total of 55 dollars.

Step-by-step explanation:

i used a graphing calculator,

Answer: it would be 81.83%

In the table that shows the length, in inches, of fish in a pond, there are no outlier.

we know, a value that differs significantly from the other values in a dataset is an outlier in mathematics. Measurement errors, data entry errors, or extreme results that are actually outliers from the majority of the data can all lead to outliers.

Here according to question,

A box-and-whisker plot, which depicts the distribution of a dataset by presenting the minimum, first quartile, median, third quartile, and maximum values, is one method for identifying outliers.

Thus, there are no outlier.

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Therefore, the total amount of glass used to make the five visible faces of the aquarium is:

600 + 360 + 240 = 1200 square inches.

2-D enclosed shapes with four sides, four corners, and four right angles are called rectangles. A rectangle has two equal and parallel opposite sides. A rectangle is a two-dimensional shape with length and width as its dimensions.

The aquarium has six faces, but since one of the faces will be the bottom of the aquarium and won't be visible, we only need to find the total amount of glass used to make the remaining five faces.

The aquarium has two identical faces, which are the front and back faces. Each of these faces has dimensions of 20 inches by 15 inches. So the total area of these two faces is:

2 x (20 x 15) = 600 square inches

The aquarium also has two identical faces, which are the left and right faces. Each of these faces has dimensions of 12 inches by 15 inches. So the total area of these two faces is:

2 x (12 x 15) = 360 square inches

Finally, the aquarium has one top face, which has dimensions of 20 inches by 12 inches. So the area of this face is:

20 x 12 = 240 square inches

Therefore, the total amount of glass used to make the five visible faces of the aquarium is:

600 + 360 + 240 = 1200 square inches.

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The tοtal amοunt οf glass used tο make the 5 faces οf the aquarium is 1,200 in².

Vοlume refers tο the amοunt οf space οccupied by a three-dimensiοnal οbject. It is usually measured in cubic units, such as cubic centimeters, cubic meters, οr cubic inches. The fοrmula fοr finding the vοlume οf a sοlid depends οn its shape.

The aquarium has 6 faces, but since οne face is οn the bοttοm and isn't visible, we οnly need tο find the area οf 5 faces.

The twο end faces are rectangles with dimensiοns 15 inches by 12 inches, sο each has an area οf 15 x 12 = 180 square inches.

The frοnt and back faces are rectangles with dimensiοns 15 inches by 20 inches, sο each has an area οf 15 x 20 = 300 square inches.

The tοp face is a rectangle with dimensiοns 20 inches by 12 inches, sο it has an area οf 20 x 12 = 240 square inches.

The tοtal area οf the 5 visible faces is the sum οf these areas: 180 + 180 + 300 + 300 + 240 = 1200 square inches.

Therefοre, the tοtal amοunt οf glass used tο make the 5 faces οf the aquarium is 1,200 in².

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Answer:

x < -41/6 or x > -13/6.

Step-by-step explanation:

5/2+x>1/3

x > 1/3 - 5/2

x > 2/6 - 15/6

x > -13/6

x+2 < -29/6

x < -29/6 - 2

x < -41/6

The answer is     x < -41/6 or x > -13/6.

Answer:

x > -13/6 or x < -41/6

Step-by-step explanation:

5/2+x>1/3 or x+2 < -29/6

x > 1/3 - 5/2 or x < -29/6 - 2

x > 2/6 - 15/6 or x < -29/6 - 12/6

x > -13/6 or x < -41/6

Point A = (5,4). If you rotated A 90 degrees about the point (2,-1), the coordinates of A' is (-1,2).

Rotation is the process of rotating an object or a point around a fixed point or axis. In mathematics, rotation refers to a transformation that preserves the size and shape of an object while changing its orientation. It is a basic geometric transformation that is used in various fields, including mathematics, physics, engineering, and computer graphics.

In a two-dimensional space, a rotation is typically described by an angle of rotation and a fixed point, which is known as the center of rotation. The angle of rotation represents the amount by which the object is rotated, while the center of rotation is the point around which the object is rotated. In a three-dimensional space, a rotation is described by an axis of rotation and an angle of rotation.

To rotate point A 90 degrees counterclockwise about the point (2,-1), we can use the following formula:

A' = (x', y') = (a + (x - a) cosθ - (y - b) sinθ, b + (x - a) sinθ + (y - b) cosθ)

where (a,b) is the center of rotation and θ is the angle of rotation (90 degrees in this case).

Substituting the given values, we get:

a = 2, b = -1, x = 5, y = 4, θ = 90 degrees

x' = 2 + (5 - 2) cos(90) - (4 + 1) sin(90) = 2 - 3 = -1

y' = -1 + (5 - 2) sin(90) + (4 + 1) cos(90) = -1 + 3 = 2

Therefore, the coordinates of A' are (-1, 2).

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Answer:

Step-by-step explanation:

The pair members cannot be multiplied. Look at the last numbers that are prime starting with eleven

What are you going to pair these primes with

11 13 17 19

So they must be added (or maybe subtracted).

1 19

2 18

3 17

4 16

5 15

6 14

7 13

8 12

9 11

and 20 which no matter how you do this, there will be 1 card left over.

Each of them adds to 20 so the LCM is 20

The scale factor of the drawing, which has a scale of 3 in. : 2 ft. is equals to the fraction 1/8.

A scale factor in mathematics is the ratio between corresponding measurements of an object and a representation of that object. If the scale factor is a whole number, the object copy will be larger. If the scale factor is a fraction, the copy of object will be smaller.

Scale Up (smaller to larger) = large figure measurement/smaller figure measurement

Scale Down (larger to smaller) = smaller figure measuremen/large figure measurement

For scale factor , the scaling up ratio greater than 1 and scaling down is a ratio of less than 1.

We have a drawing scale of 3 inches: 2 ft. and we have to calculate scaling factor for it

Firstly,we have to convert the measurements units. As we know, one inch = 0.0833 feet.

So, 3 inches is equals to (3×0.0833) = 0.25 feet

Scale factor = 0.25/2

= 25/200 = 1/8 < 1 ( Scaling up)

So, required value is 1/8.

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Complete question:

A drawing has a scale of 3 in. : 2 ft. What is the scale factor of the drawing?

Answer:

Hii! This is already written in slope intercept form.

For a refresher, slope intercept form is \(y=mx+b\)

\(y\) = y-coordinate

\(m\) = slope

\(x\) = x-coordinate

\(b\) = y-intercept

In this equation,

\(m\) is \(-1/2\)

\(b\) is \(-5\)

Hope this answers your questions.

The quarterly annuity payment is $582.46.

What is an ordinary annuity?

An ordinary annuity in case of investment is the one that pays its end-of-the period cash flows rather than at the beginning as it is case of annuity due.

The applicable formula in this case is the present value formula of an ordinary annuity as shown below:

PV=quarterly payment*(1-(1+r)^-N/r

PV=initial investment=$10,000

quarterly payment=unknown(assume it is X)

r=quarterly interest rate=1.5%

N=number of quarterly payments in 5 years=5*4=20(there are 4 quarterly payments in a year)

$10,000=X*(1-(1+1.5%)^-20/1.5%

$10,000=X*(1-(1.015)^-20/0.015

$10,000=X*(1-0.742470418223773)/0.015

$10,000=X*0.257529581776227/0.015

X=$10,000/(0.257529581776227/0.015)

X=quarterly payment=$582.46

Note that the unknown in this case is the annuity payment, the present value can also be the unknown as well.

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Answer:

the question is not clear

Step-by-step explanation:

wdym by this 2 ÷3 × 6 whole number 3 on 4, into bracket 2 whole number 4 on 15 - 1 whole number 2 on 3