Find the equation of a line through the points (3,7) and (5.11)

Answer:

SR

Step-by-step explanation:

Answer:

2.25

Step-by-step explanation:

The old width of 4 inches became a new width of 9 inches.

Old: 4 in.

New 9 in.

The old length of 6 inches became a new length of 13.5 inches.

Divide the new size by the corresponding old size.

9/4 = 2.25

13.5/6 = 2.25

You see in both cases, the scale factor is 2.25

The scale factor is 2.25

Answer:

2. Denote two pieces: x, y

x + y = 40

x = 2y + 10

=> 2y + 10 + y = 40 => 3y = 30 => y = 10 => x = 2 x 10 + 10 = 30

=> Solution: 10 and 30

3. Denote 4 consecutive number: 2k, 2k+2, 2k+4, 2k+6

(2k + 2k + 4) x 2 + 20 = 2 x (2k + 6)

=> 8k + 28 = 4k + 12

=> 4k = -16

=> k = -4

=> Solution: -8, -6, -4, -2

4. The number of shoppers after announcement :

N = 320 x 150/100 = 480

Hope this helps!

:)

Answer:

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

14^2 + 6^2 = H^2

196 + 36 = H^2

232 = H^2

*Square root both sides*

About 15 = H

Also: H means hypotheses

Answer:

Thus, the surface area equals S(r)=πr2+2πrl+πr54r=πr2(1+54)+2πr(14r2−r4)=94πr2+28πr−π2r2=74πr2+28πr.Jul 15, 2016

Step-by-step explanation:

Answer:

2.376 b

Step-by-step explanation:

Answer:

b. 2.376 square feet

Step-by-step explanation:

In the figure attached, the prism is shown.

Area of the bottom rectangle: 40*24 = 960 square feet

Area of the two side rectangles: 2*40*15 = 1200 square feet

Area of the two triangles: 2*24*9/2 = 216 square feet

Surface area of the triangular prism = 960 + 1200 + 216 = 2376 square feet

Answer:

|x - 8| = y + 6

Step-by-step explanation:

The vertex of the equation must be somewhere on the line x = 8, because it is the average of the answers.

If the slope of x is 1, then the vertex is (8, -6)

Plug that into the equation and you get  Ix - 8I = y + 6

Answer:

lx-8l=6

RSM said It was right

Step-by-step explanation:

Answer:

r = -3

16th term: -516560652

Step-by-step explanation:

Let's use the formula for a geometric sequence:

[tex]a_n=a_1r^{n-1}[/tex], where [tex]a_n[/tex] is the nth term, [tex]a_1[/tex] is the first term, and r is the common ratio

Here, we know the first term is 4. To find r, let's plug in 8 for n and -8748 for [tex]a_n[/tex]:

[tex]a_n=a_1r^{n-1}[/tex]

-8748 = 4 * [tex]r^{8-1}[/tex]

-8748 = 4 * [tex]r^7[/tex]

[tex]r^7[/tex] = -2187

r = -3

So we know that the common ratio is -3. Now, we want to find the 16th term, so n = 16:

[tex]a_n=a_1r^{n-1}[/tex]

[tex]a_{16}=a_1*(-3)^{16-1}=4*(-3)^{17}=-516560652[/tex]

Answer:

r = -3

16th term: -516560652

Step-by-step explanation:

Let's use the formula for a geometric sequence:

, where is the nth term, is the first term, and r is the common ratio

Here, we know the first term is 4. To find r, let's plug in 8 for n and -8748 for :

-8748 = 4 *

-8748 = 4 *

= -2187

r = -3

The distance around the window is 92.52 inches.

A semicircle is a one-dimensional locus of points that forms half of a circle. It is a circular arc that measures 180°. It has only one line of symmetry.

Given that, The stained-glass window is semicircular and the bottom edge of the window is 36 in.

We get that, diameter of the window = 36 in

radius = 18 in

Circumference of semicircle = r(2+π)

= 18(2+3.14)

= 92.52 in

Hence, The distance around the window is 92.52 inches.

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Answer:

x=9

Step-by-step explanation:

3 ^ (x-4) = 243

Rewrite 243 as a power of 3

3 ^ (x-4) =3^5

Since the bases are the same, the exponents are the same

x-4 =5

Add 5 to each side

x-4+4 = 5+4

x=9

Answer:

c

Step-by-step explanation:

trust me

Answer:

it is the 3rd one

Step-by-step explanation:

I did this question

Answer:

3625

Step-by-step explanation:

Answer:

[tex]-3m^{12}{n^{6} }[/tex]

Step-by-step explanation:

To begin simplifying this, we can first divide the coefficients, giving us:

[tex]\frac{-3m^{5}n^{4} }{m^{-7} n^{-2} }[/tex]

We know that when dividing exponents, this means we need to subtract the exponent on the denominator from the numerator. This gives us:

[tex]\frac{-3m^{5+7} n^{4+2} }{1}[/tex]

Now, simplifying this gets:

[tex]-3m^{12}{n^{6} }[/tex]

Answer:

1). 1 decade

2). 2 decades

Step-by-step explanation:

Number of years in decade = 10 years

1). When we are calculating the population of Florida between 1840 to 1850,

Number of years between 1850 and 1840 = 1850 - 1840

                                                                      = 10 years

So number of decades between 1840 and 1850 = [tex]\frac{10}{10}[/tex] = 1 decade

2). Number of years between 1840 and 1860 = 1860 - 1840

                                                                           = 20 years

Therefore, number of decades between this gap = [tex]\frac{20}{10}=2[/tex] decades

Answer:

C.   $176.000

Step-by-step explanation:

Linear regression requires sufficient data points for analysis, which are not provided, making it impossible to calculate an estimated price for a 1700 ft2 home without additional information.

To estimate a fair price for a 1700 ft2 home using linear regression, we would require more data points with corresponding house prices to create a regression model. Since we're not provided with sufficient data in the question, and there's no explicitly provided regression equation or coefficients, it's not possible to accurately calculate the estimated price for a home of a given square footage using linear regression. However, if we had such data, we would typically plot square footage on the x-axis and house price on the y-axis, calculate the slope and intercept coefficients of the regression line, and then use the regression equation y = mx + b (where y is the estimated house price, m is the slope, x is the square footage, and b is the y-intercept) to predict the price of the house with given square footage

Answer:

4 fluid ounces

Step-by-step explanation:

question is worded a little weird

Answer:

irrational :)

Step-by-step explanation:

Answer:

с. 60

Step-by-step explanation:

This is an equilateral triangle since all the sides are the same.

That means all the angles are the same.

The sum of the angles is 180

There are 3 angles

180/3 = 60

Each angle is 60 degrees

Answer:

12

Step-by-step explanation:

Pythagorean theorem

a²+b²=c²

a²+35²=37²

a²+1225=1369

manipulate the equation

1225-1369=-a²

-144=-a²

√-144=12

a=12

There are 154,440 different ways for the names of the top 5 participants to be listed on the leaderboard.

To determine the number of ways the names can be listed for the top 5 participants on the leader board, you can use the concept of permutations. The formula for permutations is:

[tex]\[ P(n, r) = \frac{n!}{(n - r)!} \][/tex]

where [tex]\( n \)[/tex] is the total number of items and [tex]\( r \)[/tex] is the number of items to be selected.

In this case, you have 13 participants, and you want to select and order the top 5 participants. So, the formula becomes:

[tex]\[ P(13, 5) = \frac{13!}{(13 - 5)!} \][/tex]

Now, calculate the permutations:

[tex]\[ P(13, 5) = \frac{13!}{8!} \][/tex]

[tex]\[ P(13, 5) = \frac{13 \times 12 \times 11 \times 10 \times 9 \times 8!}{8!} \][/tex]

[tex]\[ P(13, 5) = 13 \times 12 \times 11 \times 10 \times 9 \][/tex]

Now, calculate the result:

[tex]\[ P(13, 5) = 154,440 \][/tex]

So, there are 154,440 different ways for the names of the top 5 participants to be listed on the leader board.

Answer:

-1

Step-by-step explanation:

real numbers stars from zero

eg. 01234567....

So the right answer is of option A.

Look at the attached picture ⤴

Hope it will help u...

Answer:

2.8

Step-by-step explanation:

the formula of volume of cylinder is pi*r^2*h. if you plug in, you get (3.14)(r^2)(8.7). if you solve for r, you get 2.8!

The measure of the arc DF is 86 degrees if the measure of the major arc is 274 degrees option (D) is correct.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have:

In the diagram below, DE and EF are tangent to O.

Let x be the measure of arc DF.

The complete revolution around the center = 360 degree

Major arc + Minor arc = 360

274 + x = 360

x = 86 degrees

Thus, the measure of the arc DF is 86 degrees if the measure of the major arc is 274 degrees option (D) is correct.

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Answer:

86

Step-by-step explanation:

Just took the quiz

The solutions of the quadratic equation 3x² + 9x + 17 = 0 are x₁ = (-9 + √(123)i) / 6 and x₂ = (-9 - √(123)i) / 6, where "i" represents the imaginary unit.

To find the solutions of the quadratic equation 3x² + 9x + 17 = 0, we'll use the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a.

Here, a = 3, b = 9, and c = 17. We'll plug these values into the formula and simplify the expression step-by-step.

Step 1: Calculate the discriminant (Δ) using the formula Δ = b² - 4ac.

Δ = (9)² - 4 * 3 * 17

Δ = 81 - 204

Δ = -123

Step 2: Substitute the values of a, b, and Δ into the quadratic formula.

x = (-9 ± √(-123)) / 2 * 3

Step 3: Since the discriminant (Δ) is negative, the quadratic equation has no real solutions. Instead, it has two complex solutions.

Step 4: Simplify the expression under the square root.

x = (-9 ± √(-123)) / 6

Step 5: Now, we deal with the square root of a negative number, which is denoted by "i" in the complex number system. √(-123) = √(123)i.

Step 6: Substitute the value of √(-123) back into the equation.

x = (-9 ± √(123)i) / 6

Step 7: Divide both the real and imaginary parts by 6 to get the two complex solutions.

x₁ = (-9 + √(123)i) / 6

x₂ = (-9 - √(123)i) / 6

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Final answer:

The quadratic equation 3x^2 + 9x + 17 = 0 has no real solutions because the discriminant is negative. The solutions are complex numbers and can be expressed as x = -3/2 ± √(123)/6 × i.

Explanation:

To find the solutions of the quadratic equation 3x^2 + 9x + 17 = 0, we will use the quadratic formula, which is x = (-b ± √(b^2 - 4ac)) / (2a) for a quadratic equation of the form ax^2 + bx + c = 0. In our case, a = 3, b = 9, and c = 17. Plugging these values into the formula gives:

x = (-(9) ± √((9)^2 - 4(3)(17))) / (2(3))

x = (-9 ± √(81 - 204)) / 6

x = (-9 ± √(-123)) / 6

Since the discriminant (the part under the square root, b^2 - 4ac) is negative, the equation has no real solutions. Instead, the solutions are complex numbers:

x = (-9 ± √(-123)i) / 6

The final solutions can be expressed as:

x = -3/2 ± √(123)/6 × i

Answer:

.0099

Step-by-step explanation:

right answer

The proportion of exam scores are between 82 and 89.2 points is 0.3330.

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given:

mean = 87 points and

standard deviation = 8 points.

Now, using

Z= [tex]x- \mu / \sigma[/tex]

z= 104.6 - 87 / 8

z= 2.2

again, Z= [tex]x- \mu / \sigma[/tex]

z= 108.2- 87 / 8

z= 2.65

So, the proportion is

P(x<108.20)-P(x<104.60)

=P(Z<2.65)-P(Z<2.2)

= 0.9960-0.9861

=0.0099

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Answer:

8

Step-by-step explanation:

Key to this question is assume that each exchange preserves the total dollar amount of Nick’s money.

If He exchanges all his $5 bills for $1 bills, it means that a $5 bill will result in 5 $1 bills as such, if he had x number of $5 bill, after the exchange, he would have 5x $1 bills.

then all his $20 bills for $5 bills, it means that for each $20 bill, he gets 4 $5 bills which means that if he had y number of $5 bills, after the exchange, he would have 4y $5 bills.

and finally all his $100 bills for $20 bills, then he must have received 5 $20 bills for each $100 such that if he had z number of $100 bills before the exchange, he would have 5z number of $20 bills after the exchange. Given that originally he had 17 bills and later 77 bills then

x + y + z  = 17

5x + 4y + 5z = 77

Multiplying the first equation by 5,

5x + 5y + 5z = 85

5x + 4y + 5z = 77

subtract 2 from 1

y = 8

Answer:

10.4

Step-by-step explanation:

Answer:

4√3

Step-by-step explanation:

sorry that I was late I just taken it sorry

Prisms are 3-D shape with triangles and a base. The value of x from the diagram in radical form is 4√3

From the given figure, we are to find the value of "x". To do this, we will use the identity

Given the following parameters

slant height  = 8m

Opposite side = x

Determine the value of "x"

Sin 60 = x/8
x = 8 sin60
x = 8 * √3/2
x = 4√3

Hence the value of x from the diagram in radical form is 4√3

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