Of the following points, name all that lie on the same horizontal line? (1,-2) (-1,2) (-2,1) (2,-1)

Step-by-step explanation:

Since you are given the values there is no need to try another method then replacing x by the values

㏑(2)= 0.69

㏑(1.35) = 0.3

so the right answer is D

Answer:

The answer is

Step-by-step explanation:

The above variation is written as

[tex]y = \frac{k}{ {x}^{2} } [/tex]

where k is the constant of variation

when y = 9

x = 4

We have

k = yx²

k = 9(4)²

k = 9 × 16

k = 144

So the formula for the variation is

[tex]y = \frac{144}{ {x}^{2} } [/tex]

when y = 1

[tex]1 = \frac{144}{ {x}^{2} } [/tex]

Cross multiply

x² = 144

Find the square root of both sides

x = √144

x = 12

Hope this helps you.

±2

Step-by-step explanation:

Answer:

The first one is correct

The second one is also correct

The third is also correct

Congrats!

Answer:

1) [tex]\boxed{Option \ B}[/tex]

2) [tex]\boxed{Option \ B}[/tex]

3) [tex]\boxed{Option \ B}[/tex]

You're totally correct, Man! :)

Step-by-step explanation:

Question 1:

[tex](6b^2-4b+3)-(9b^2-3b+6)\\Resolving \ the\ brackets\\6b^2-4b+3-9b^2+3b-6\\Combining \ like \ terms\\6b^2-9b^2-4b+3b+3-6\\-3b^3-b-3[/tex]

Question 2:

[tex](b+6)(b-3)\\Using \ FOIL\\b^2-3b+6b-18\\b^2+3b-18[/tex]

Question 3:

[tex](4x-3)(6x-1)\\Using \ FOIL\\24x^2-4x-18x+3\\24x^2-22x+3[/tex]

Answer:

504 ways.

Step-by-step explanation:

In this case, order matters. If Amy were lead, Bob were record keeper, and Charles were researcher, that would be different than if Bob were lead, Charles were record keeper, and Amy were researcher. So, we will be using a permutation formula to compute.

The formula is n! / (n - k)!, where n is the total number of people (9), and k is the number you are selecting (3).

9! / (9 - 3)! = 9! / 6! = (9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) / (6 * 5 * 4 * 3 * 2 * 1) = 9 * 8 * 7 = 72 * 7 = 504 ways.

Hope this helps!

Answer:

  216

Step-by-step explanation:

  y = ±√36 = ±6

  y³ = (±6)³ = ±216

The largest of these values is 216, the greatest possible value of y.

Answer:

[tex]n >21[/tex]

Step-by-step explanation:

The number exceeds 21 or is greater than 21.

‘[tex]>[/tex]’ represents greater than.

Let the number be [tex]n[/tex].

[tex]n >21[/tex]

Answer: The speed of Ina in still water is 5mph

Step-by-step explanation:

If the speed of Ina on still water is x, and the speed of the river is y:

The total speed of Ina when she goes along with the current is:

S = x + y

when she goes against the current we have:

St = x - y.

Now we can use the relation:

speed = time/velocity.

along with the current, we have:

x + y = 12mi/2h = 6mi/h

against the current we have:

x - y = 12mi/3h = 4mi/h

So we have the equations

x + y = 6mi/h

x - y = 4mi/h

in the first equation we can isolate x

x = 6mi/h - y

now we replace this in the second equation:

(6mi/h - y) - y = 4mi/h

6mi/h - 2y = 4mi/h

-2*y = 4mi/h - 6mi/h = -2mi/h

y = 1mi/h

now we replace this in the first equation:

x + 1mi/h = 6mi/h

x = 5mi/h.

The speed of Ina in still water is 5mph

Answer:

[tex]g(2)=1[/tex]

Step-by-step explanation:

So first, we know that:

[tex]f(1)=g(1)+1[/tex]

And:

[tex]f(2)=2[/tex]

This means that instead of 1, if we put two in like so:

[tex]f(2)=g(2)+1[/tex]

Then we can substitute the f(2):

[tex]2=g(2)+1\\g(2)=1[/tex]

Therefore, g(2)=1.

Answer:

the solution to the problem is D

Answer:

yyy = xxx + 151515

Step-by-step explanation:

Since you want to swim 151515 minutes longer one day at practice (note this time is actually 105 days), you simply need to swim the same amount of time as your friend, plus the extra time. Hence, your time will be equal to your friends time plus the extra time you plan to swim.

Answer:

K = 40

Step-by-step explanation:

As they said that 28 is 12 less than K , it means that you've to add them to get the answer. So , 28 + 12 = 40 which is represented by the variable "K"

Hope it helps and pls mark as brainliest : )

Answer:

Step-by-step explanation:

28 is 12 less than k

Let's create an equation:

[tex]28 = k - 12[/tex]

Now, let's solve:

[tex]28 = k - 12[/tex]

Move variable to L.H.S and change its sign

Similarly, Move constant to R.H.S and change its sign

[tex] - k = - 12 - 28[/tex]

Calculate the difference

[tex] - k = - 40[/tex]

Change the signs on both sides of the equation

[tex]k = 40[/tex]

Hope this helps...

Best regards!!

Answer:

b) no

Step-by-step explanation:

The regression analysis is a statistical technique which is used for forecasting. It determines the relationship between two variables. It determines the relationship of two or more dependent and independent variables. It is widely used in stats to find trend in the data. It helps to predict the values of dependent and independent variables. In the given question, the relationship is determined to identify the relationship between density of seed planted and quality of lawn. The significance level is 1% which means strength of evidence is not strong enough to support the test.

Answer:

The first step would be to look at the average for each brand.

The average can be calculated as:

A = (a1 + a2 + .... + an)/N

where a1 is the first lifetime, a2 is the second one, etc. And N is the total number of data points.

So, for Brand 1 we have:

A1 = (260 + 218 + 184 + 219)/4 = 220.25

Brand 2:

A2 = (181 + 240 + 162 + 218)/4 = 200.25

Brand 3:

A3 = (238 + 257 + 241 + 213)/4 = 237.25

So only from this, we can see that Brand 3 has the larger lifetime, then comes Brand 1 and last comes Brand 2.

Answer:

  5

Step-by-step explanation:

The limit of f(x) at x=-1 is 5 when approached from the left or right. Since those limits are the same, the limit exists and is ...

  [tex]\boxed{\lim\limits_{x\to-1}f(x)=5}[/tex]

Answer:

B = 26.4

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hyp

sin B = 4/9

Take the inverse sin of each side

sin ^-1 sin ( B) = sin ^-1 ( 4/9)

B = 26.38779996

B = 26.4

Answer:

[tex]26.4\º[/tex]

Step-by-step explanation:

[tex]\theta=?[/tex]

[tex]$\sin(\theta)=\frac{opp}{hyp} = \frac{4}{9} $[/tex]

[tex]$\theta=\sin^{-1}\frac{4}{9} =\arcsin\frac{4}{9} \approx 26.4\º$[/tex]

Answer:

253°

Step-by-step explanation:

The central angle whose rays intercept a diameter of the circle has measure 180 deg.

m<AOD = 73 deg

m<DOB = 180 deg

m<ADB = m<AOD +m<DOB = 73 deg + 180 deg = 253 deg

The measure of an arc of a circle is equal to the measure of the central angle that subtends it.

m(arc)AOD = m<AOD = 253 deg

Answer: 253°

The solution is, the measure of Arc A D B is 253°.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

Here, we have,

given that AC and BD are diameters of circle O.

AC and BD intersect at point C the centre of the circle.

The central angle of a circle is the angle based at the circle's center. In other words, the vertex of the angle must be at the center of the circle. A central angle is formed by two radii that start at the center and intersect the circle itself.

The central angle whose rays intercept a diameter of the circle has measure 180 deg.

m<AOD = 73 deg

m<DOB = 180 deg

m<ADB = m<AOD +m<DOB = 73 deg + 180 deg = 253 deg

The measure of an arc of a circle is equal to the measure of the central angle that subtends it.

m(arc)AOD = m<AOD = 253 deg

Answer: the measure of Arc A D B is 253°.

To learn more on angle click:

brainly.com/question/28451077

#SPJ7

Answer:

[tex]\boxed{11m}[/tex]

Step-by-step explanation:

Method #1: 45-45-90 Triangle

You can use the rules for a 45-45-90 triangle. These are:

→ Each 45-45-90 triangle is a right triangle with two additional 45° angles.

→ The triangle will have 2 legs, x, and one hypotenuse, x√2.

Therefore, because the problem gives values for one leg and the hypotenuse, the value for the one leg is equal to the value for the unsolved leg.

Method #2: Pythagorean Theorem

You can use the Pythagorean Theorem to solve for a missing side in a triangle. Please note, however, that the Pythagorean Theorem only works on right triangles.

The Pythagorean Theorem is defined as [tex]a^{2} + b^{2} = c^{2},[/tex] where a and b are both legs of the triangle and c is the hypotenuse.

Therefore, substitute the known value for a, 11, and the known value for c, 11√2. Then, evaluate each value to its power (except for b - it is unsolved) and simplify the equation with basic algebraic methods. Once your equation is down to [tex]b^{2}= ?[/tex], you should take the square root of both sides of the equation to get the value for b.

[tex]11^{2} +b^{2} =(11\sqrt{2} )^{2}\\121 + b^{2} = 242\\b^{2}=121\\b=11[/tex]

Answer:

Its B and D

Step-by-step explanation:

Because thats where the points intersects/meet.

Answer: 1022.75 kWh.

Step-by-step explanation:

Given: In one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean of 1050 kWh and a standard deviation of 218 kWh.

i.e. [tex]\mu=1050\ kWh[/tex] and [tex]\sigma=218\ kWh[/tex]

Let X denote energy consumption levels for random single-family homes and x be the energy consumption level for the 45th percentile.

Then, [tex]P(X<x)=0.45[/tex]

From z-table, [tex]P(z<-0.125)=0.45[/tex]

Also, [tex]z=\dfrac{x-\mu}{\sigma}[/tex]

[tex]\Rightarrow\ -0.125=\dfrac{x-1050}{218}\\\\\Rightarrow\ x=-0.125\times218+1050=1022.75[/tex]

Hence, the energy consumption level for the 45th percentile is 1022.75 kWh.

Answer: C

Step-by-step explanation:

For system of equations, the solution is the point or points where the equations intersect. The point they meet signifies that they are the same at the x and y point.

Looking at the graph, we see 2 intersection points. They are (0,-8) and (4,8). Therefore, C is the correct answer.

Answer:

H₀ is accepted, we don´t have evidence to claim valves produces more than 4,1 pounds/square inch

Step-by-step explanation:

Normal Distribution

Population mean   μ₀  = 4.1

Population standard deviation  σ = 0,9

Sample size   n  = 260

Sample mean     μ  =  4,2

Level of significance 0,02       α = 0,02 form z-table we find z score

z(c) = 2,05  (critical value)

Test hypothesis      

Null hypothesis                       H₀            μ  =  μ₀

Alternative hypothesis           Hₐ            μ   >  μ₀

Is a one tail-test ( to the right. Values have a mean over the population mean)

z(s) = (  μ  -  μ₀ )/ σ /√n

z(s) =  4,2 - 4,1 / 0,9/√260

z(s) = 0,1 *16,1245 / 0,9

z(s) =  1,7916

To compare  z(s)   and z(c)

z(s) < z(c)

Then  z(s) is in the acceptance region, we accept H₀

The question in part c is not clear, nevertheless, part a and part b would be solved.

Answer:

a. The first twelve terms are:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144.

b. The first ten terms are:

1.000, 1.000, 1.500, 1.667, 1.600, 1.625, 1.615, 1.619, 1.618, 1.618.

Step-by-step explanation:

a. Given

an + 2 = an + an + 1

where a1 = 1 and a2 = 1.

a3 = a1 + a2

= 2

a4 = a2 + a3

= 3

a5 = a3 + a4

= 5

a6 = a5 + a4

= 8

a7 = a6 + a5

= 13

a8 = a7 + a6

= 21

a9 = a8 + a7

= 34

a10 = a9 + a8

= 55

a11 = a10 + a9

= 89

a12 = a11 + a10

= 144

The first twelve terms are:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144.

(b)

Given

bn = an+1/an

b1 = a2/a1

= 1/1 = 1.000

b2 = a3/a2

= 2/1 = 1.000

b3 = a4/a3

= 3/2 = 1.500

b4 = a5/a4

= 5/3 = 1.667

b5 = a6/a5

= 8/5 = 1.600

b6 = a7/a6

= 13/8 = 1.625

b7 = a8/a7

= 21/13 = 1.615

b8 = a9/a8

= 34/21 = 1.619

b9 = a10/a9

= 55/34 = 1.618

b10 = a11/a10

= 89/55 = 1.618

The first ten terms are:

1.000, 1.000, 1.500, 1.667, 1.600, 1.625, 1.615, 1.619, 1.618, 1.618.

Answer:

area = 1800 m²

Step-by-step explanation:

area of one triangle = 900 m²

if a parallelogram has the same height and base as the triangle, then that means the area or the two triangle and shaped as a parallelogram

is twice the area given.

area = 900 * 2

area = 1800 m²

Answer:

25 percent of 8 is 2 so 2 hours

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let's create an equation:

[tex]5y = 135[/tex]

( Being vertically opposite angles)

Now, let's solve

Divide both sides of the equation by 5

[tex] \frac{5y}{5} = \frac{135}{5} [/tex]

Calculate

[tex] y = 27[/tex]

Hope this helps...

Best regards!!

Answer:

the temperature reading that separates the bottom​ 4% from the others is -1.75°

Step-by-step explanation:

The summary of the given statistics data set are:

Mean [tex]\mu[/tex] : 0

Standard deviation [tex]\sigma[/tex] = 1

Probability of the thermometer readings = 4% = 0.04

The objective is to determine the temperature reading that separates the bottom​ 4% from the others

From the standard normal table,

Z score for the Probability P(Z < z) = 0.04

P(Z < -1.75) = 0.04

z = -1.75

Now, the z- score formula can be expressed as :

[tex]z = \dfrac{X-\mu}{\sigma}[/tex]

[tex]-1.75 = \dfrac{X-0}{1}[/tex]

-1.75 × 1 = X - 0

X = -1.75 × 1 - 0

X = -1.75

Therefore, the temperature reading that separates the bottom​ 4% from the others is -1.75°

Answer:

The answer to your question is   Center = (2, 9) Radius = 5 units

Step-by-step explanation:

Data

         (x - 2)² + (y - 9)² = 25

Process

1.- Determine the coordinates of the circle.

The coordinates are the numbers after the x and y just change the signs.

    h = 2   and k = 9

Then the coordinates are (2, 9)

2.- The length of the radius is the square root of the number after the equal sign.

          radius = [tex]\sqrt{25}[/tex]

         radius = 5 units

Answer:

1. can

2. less

3. 5

Step-by-step explanation:

To find out if Waclaw could make it to the gas station using 10 miles, we need to add the number of miles he has to go in order to reach his destination.

[tex]4\frac{7}{8}+4\frac{3}{4} = 9\frac{5}{8}\\[/tex]

9 5/8 is less than 10, so he can make it to the gas station.

We can also find out the answer without even adding the numbers together, because both values are less than five, and when that happens, the sum cannot be 10 or more, so Waclaw can make it to the gas station.

Answer:

a =7.5

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+ b^2 = c^2  where a and b are the legs and c is the hypotenuse

a^2 + 10 ^2 = 12.5^2

a^2 + 100  =156.25

Subtract 100 from each side

a^2 = 56.25

Take the square root of each side

sqrt(a^2) = sqrt( 56.25)

a =7.5

Answer:

-5/48

Step-by-step explanation:

(8 · 2⁷ˣ)⁴ = (1/16)⁵ˣ · 128

Take log of both sides.

log (8 · 2⁷ˣ)⁴ = log ((1/16)⁵ˣ · 128)

Use log exponent/product rules.

4 log (8 · 2⁷ˣ) = log (1/16)⁵ˣ + log 128

Use log exponent/product rules.

4 (log 8 + log (2⁷ˣ)) = 5x log (1/16) + log 128

Use log exponent rule.

4 (log 8 + 7x log 2) = 5x log (1/16) + log 128

Distribute.

4 log 8 + 28x log 2 = 5x log (1/16) + log 128

Write as powers of 2.

4 log 2³ + 28x log 2 = 5x log (2⁻⁴) + log 2⁷

Use log exponent rule.

12 log 2 + 28x log 2 = -20x log 2 + 7 log 2

Combine like terms.

5 log 2 + 48x log 2 = 0

Divide by log 2.

5 + 48x = 0

Solve for x.

x = -5/48