Need help with a question

Answer:

(x , y)=(-31/306 , 775/51)

Step-by-step explanation:

6x-2y=-144x-3y=-31

Write as a system of equations.

6x-2y=-31

-144x-3y=-31

Multiply both sides of the equation by 24.

144x-48y=-744

-144x-3y=-31

Sum the equations vertically to eliminate at least one variable.

-51y=-775

Divide both sides of the equation by -51.

y=775/51

Substitute the given value of y into the equation 6x-2y=-31.

6x-2x775/51=-31

Solve the equation for x.

x=-31/306

The possible solution of the system is the ordered pair (x , y).

(x , y)=(-31/306 , 775/51)

Answer:

15 meters per second is equivalent to 54 kilometres per hour.

Answer:

15 meters per second

Step-by-step explanation:

Answer:

40 miles per hour

Step-by-step explanation:

Change 300 minutes to hours.  There are 60 minutes to hours

300 minutes * 1 hour/ 60 minutes = 5 hours

Now take the miles and divide by hours

200 miles / 5 hours = 40 miles per hour

Answer: 40 mph

Step-by-step explanation: 300 minutes is 5 hours. 40 mph for 5 hours is 200 miles traveled.

Answer:

your missing angle is

90+65 = 155

180-155 = 25

so your missing angle is 25 degrees

Answer:2*sqrt(130)

Step-by-step explanation:[tex]From right triangle $AXC$, we have $\angle XAC = 90^\circ - \angle XCA$. We also must have $\angle YCB + \angle ACB + \angle XCA = 180^\circ$, so $\angle YCB = 180^\circ - 90^\circ - \angle XCA = 90^\circ - \angle XCA$, which means $\angle YCB = \angle XAC$. Combining this with $\angle X = \angle Y$, we have $\triangle XCA \sim \triangle YBC$ by AA Similarity, and\[\frac{CX}{AX} = \frac{BY}{CY},\]so\[\frac{CX}{4} = \frac{18}{2CX}.\]\\\\This gives us $2CX^2 = 72$, so $CX^2 =36$ and $CX=6$. \\\\\\\\[/tex][tex]Therefore, $CY = 12$.Applying the Pythagorean Theorem to right triangles $XCA$ and $CYB$ gives us\begin{align*}CA^2 &= XA^2 + XC^2 = 16 + 36 = 52,\\BC^2 &= CY^2 + BY^2 = 144 + 324 = 468.\end{align*}Applying the Pythagorean Theorem to right triangle $ABC$ gives\[AB = \sqrt{AC^2 + BC^2} = \sqrt{52 + 468} = \sqrt{520} = \boxed{2\sqrt{130}}.\](We can also compute $AB$ by dropping a perpendicular from $A$ to $\overline{YZ}$, which creates a right triangle.)[/tex]

The length of the side AB from the figure is approximately 22.8.

Given a rectangle WXYZ.

Consider triangles ΔACX and ΔBCY.

∠AXC = ∠BYC

Also, ∠CAX + ∠ACX = 180° - 90°

So, ∠CAX = 90° - ∠ACX [Equation 1]

Given that ∠ACB = 90°

Also, ∠ACX, ∠ACB, and ∠BCY form linear angles.

So, ∠ACX + ∠ACB + ∠BCY = 180°

So, ∠ACX + 90° + ∠BCY = 180°

∠ACX + ∠BCY = 90°

∠BCY = 90° - ∠ACX [Equation 2]

From [Equation 1] and [Equation 2], ∠CAX = ∠BCY

By AA similarity, triangles ΔACX and ΔBCY are similar.

So, the corresponding sides are proportional.

AX / CY = CX / BY

4 / 2CX = CX / 18

(CX)² = 36

CX = 6

Now, using the Pythagoras theorem:

AC = √(4² + 6²) = √52

BC = √(18² + 12²) = √468

So, AB = √(√52)² + (√468)²

            = √520

            ≈ 22.8

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Answer:

C     f(x) = 0.5(2x)

Step-by-step explanation: I got a 96 on the the test so you can trust, unlessssss this is the one question I got wrong!!! .... It's not though so don't worry.

f(x) = 2(0.5)ˣ is the exponential function which has a growth factor of One-half.

A relation is a function if it has only One y-value for each x-value.

An exponential function with a growth factor of 1/2 would have 1.5^x as part of it

y=a(1+0.5)ˣ is the general term of the exponential function.

In the given functions

f(x) = 2(0.5)ˣ On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0.

It goes through (negative 1, 2) and crosses the y-axis at (0, 0.5).

Hence, f(x) = 2(0.5)ˣ is the exponential function which has a growth factor of One-half.

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Answer:

The volume remaining is approximately  536 cm³

Step-by-step explanation:

The volume of a hemisphere is the volume of the sphere divided by two, therefore it's formula is:

[tex]\text{volume hemisphere} = \frac{4}{6}*pi*r^3\\\text{volume hemisphere} = \frac{4}{6}*pi*8^3 = 1072.33 \text{ } cm^3[/tex]

While the volume of the cone is:

[tex]\text{volume cone} = \frac{\pi*r^2*h}{3}\\\text{volume cone} = \frac{\pi*(8)^2*8}{3}\\\text{volume cone} = \frac{\pi*512}{3} = 536.1651 \text{ } cm^3[/tex]

What remains on the hemisphere is the difference between these volumes, therefore:

[tex]\text{remaining volume} = 1072.33 - 536.17 = 536.16 \text{ } cm^3[/tex]

The volume remaining is approximately  536 cm³

Answer:

C = 159600

Step-by-step explanation:

Because its Y=2 (10) square so times by its self.

Step-by-step explanation:

your missing angle is

102 + 12

=114

the sum of triangle is 180 degree

180 - 114

= 66

the missing angle is 66 degree

Answer:

66 Degrees

Step-by-step explanation:

All angles equal 180 degrees so we know that :

180-102-12 =66

so the angle that is missing is 66 degrees.

Answer: -10

Step-by-step explanation:

-4 - 6 = -10

Answer:

The standard for of this equation is x – y = 0

Firstly, options A and D are not in standard form, so they are not options.

To decided between B and C, we choose a point on the line and see if it works. For example, we'll use (2, 2).

x – y = 0

2 - 2 = 0

0 = 0

This is true for option C. Therefore, it is correct.

hope this helps

Answer:

19.75. The apples cost 19.75 before the tax.

Step-by-step explanation:

0.97(x)=19.16

19.75

Answer:

A)The probability of randomly selecting a score less than X=51 is 0.3085

B)The probability of selecting a Random sample of n=4scores with a mean less than m=51 is 0.1587

C)The probability of selecting a sample of n=36scores with a mean less than m=51 is 0.0013

Step-by-step explanation:

Mean =[tex]\mu = 54[/tex]

Standard deviation =[tex]\sigma = 6[/tex]

A)What is the probability of randomly selecting a score less than X=51 i.e. P(x<51)?

Formula : [tex]Z =\frac{x-\mu}{\sigma}[/tex]

[tex]Z=\frac{51-54}{6}[/tex]

Z=-0.5

Refer the Z table for p value

So, P(x<51)=0.3085

So,the probability of randomly selecting a score less than X=51 is 0.3085

B)What is the probability of selecting a Random sample of n=4scores with a mean less than m=51?

Formula : [tex]Z =\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]Z=\frac{51-54}{\frac{6}{\sqrt{4}}}[/tex]

Z=-1

Refer the Z table for p value

So, P(x<51)=0.1587

So, the probability of selecting a Random sample of n=4scores with a mean less than m=51 is 0.1587

C) What is the probability of selecting a sample of n=36scores with a mean less than m=51?

Formula : [tex]Z =\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]Z=\frac{51-54}{\frac{6}{\sqrt{36}}}[/tex]

Z=-3

Refer the Z table for p value

So, P(x<51)=0.0013

So,the probability of selecting a sample of n=36scores with a mean less than m=51 is 0.0013

Answer:

45 mph

Step-by-step explanation:

hope it helps!

Answer:

1,4,6,  are the answers

Step-by-step explanation:

Answer:

the first, the fourth and the sixth

Step-by-step explanation:

i just did it

Answer:

D) reflection across the origin

Step-by-step explanation:

Answer:

(- 32, - 16 )

Step-by-step explanation:

Since the dilatation is centred at the origin, multiply the original coordinates by the scale factor, that is

(- 8, - 4 ) → (4(- 8), 4()- 4)) → (- 32, - 16 )

Answer:

Nn

Step-by-step explanation:

Answer: 12.25 and 20.25

Step-by-step explanation:

20.25 - 12.25 = 8

Square root of 20.25 is 4.5

Square root of 12.25 is 3.5

4.5 - 3.5 = 1

Hope this helped

Answer:

2

Step-by-step explanation:

1,3,4 are arithmetic sequences

2 is a geometric sequence

Answer:

number 2

Step-by-step explanation:

i think this right.. its just because 45 doesnt come after 15 when counting by 5's.. 20 does :) hope this helps

Answer:

45

Step-by-step explanation:

The two angles with measures are a linear pair and supplementary, so their measures add to 180 deg.

3x + x = 180

4x = 180

x = 45

____________________________________

Solution,

X°+3x°=180°( sum of angle in straight line)

or,4x°=180°

or,X=180/4

X=45

The right answer is 45

hope it helps

Good luck on your assignment

___________________________________

Answer:

1`. y = 4x+6

2. y = -6x + 29

3. y= 3x+1

4. y = x -2

5. y = 11.5x+ 3

6. y = -2x -4

Step-by-step explanation:

Answer:

option B

Step-by-step explanation:

when the x value is multiplied by 8 and the result is added to 14 you will get the corresponding y value

Answer:

C

Step-by-step explanation:

C is the only viable answer, because it it the only one that decreases as x approaches infinity. Exponential decay decreases, hence the decay part.

The graph of the unknown function C represents exponential decay.

The correct option is C.

An exponential function's curve is created by a pattern of data called exponential decay, which exhibits higher decreases over time.

The exponential decay function:

Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.

Given:

Two graphs of the unknown functions are given.

And when the value of x approaches to positive infinity,

the value of y decrease exponentially.

And from the above definition,

the graph is C.

Therefore, the graph is C.

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Answer:

242 integers

Step-by-step explanation:

We have to find the number of integers between 17 and 2678 which are the multiple of 11.

Divide 17 by 11 = [tex]\frac{17}{11}=1.55[/tex]

Smallest multiple of 11 which is greater than 11 = 2nd multiple = 22

Divide the largest number 2678 by 11 = [tex]\frac{2678}{11}=243.45[/tex]

Largest multiple of 11 which is less than 2678 = 443rd multiple

                                                                            = 243 × 11

                                                                            = 2673

Therefore, number of integers between 17 and 2678 multiple of 11

= 243 - 2 + 1

= 242 integers

Answer:

y=x^2+7x+12

Step-by-step explanation: