Find an
equation for the line through (-6, 3) and
parallel to y = 3x + 1.

Answer:

(B)

Step-by-step explanation:

v^2 = v0^2 + 2ax

a = (v^2 - v0^2) / 2x

= (20^2 - 10^2) / 200

= 1.5 m/s

9514 1404 393

Answer:

  one solution

Step-by-step explanation:

There will be one solution if the left-side x-coefficient is different from the right-side x-coefficient.

Simplifying, we get ...

x + 1/2x -2 = 1/2x +6x -12

3/2x -2 = 13/2x -12

The left-side coefficient is 3/2, which is different from the right-side coefficient of 13/2. The equation will have one solution.

__

Add 12-3/2x to both sides to get ...

  10 = 5x

  2 = x . . . . . divide both sides by 5. This is the solution.

Answer:

A.O.T=1/2×height(sum of bases)

Step-by-step explanation:

A.O.T=1/2×8(14+10)

=4(24)

= 96

Answer:

96

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

The interquartile range is obtained using the relation :

Third quartile (Q3). - First quartile (Q1)

From. The boxplot :

Q3 = 96

Q1 = 12

Interquartile range (IQR) = Q3 - Q1 = 96 - 12 = 84

Answer:

ion know

Step-by-step explanation:

7/10 + 1/5 =

7/10 + 2/10  (1/5 x 2 = 2/10) = 9/10

10/10 - 9/10 = 1/10

therefore, 1/10 of the class rides on the school bus.

Answer:

cost per tennis ball

Step-by-step explanation:

Answer: B  - 3 3/4 cubic inches

Step-by-step explanation:

A = BH; B = wl

2 * 1 1/4 = B

B = 2 1/2

H = 1 1/2

2 1/2 * 1 1/2 = 3 3/4

Answer:

[tex]\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1[/tex]

Step-by-step explanation:

An ellipse is the locus of a point such that its distances from two fixed points, called foci, have a sum that is equal to a positive constant.

The equation of an ellipse with a center at the origin and the x axis as the minor axis is given by:

[tex]\frac{x^2}{b^2}+\frac{y^2}{a^2} =1 \\\\where\ a>b[/tex]

Since the distance of the satellite from the surface of the moon varies from 357 km to 710 km, hence:

b = 357 km + 959 km = 1316 km

a = 710 km + 959 km = 1669 km

Therefore the equation of the ellipse is:

[tex]\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1[/tex]

Answer:

option A 12x is the correct answer

Answer:

54

Step-by-step explanation:

What I would do is multiply 12x4 first to get 48, then after I'd multiply 12x1/2 to get 6 then I'd add them together to get 54.

Answer:

m∠b=m∠c=61°

Step-by-step explanation:

The 119° angle and ∠b/∠c are supplementary angles. ∠b and ∠c are congruent because they are vertical angles and they are also both supplementary to the 119° angle. I will use b to find c.

[tex]b+119=180[/tex]

[tex]b=61[/tex]

Since b and c are equal, c=61 too.

Answer:

17

Step-by-step explanation:

-5 is 17 points away from 12.

Answer:

70

Step-by-step explanation:

35 because the 4 segments have to total to 180

Answer:

∫ F dr= 1

c

Step-by-step explanation:

The correct question is -

Given - [tex]F = < \frac{sec^{2} x}{y} , - \frac{tan x}{y^{2} }>[/tex] and C : (0, 1) to [tex](\frac{\pi }{4} , 1)[/tex]

To find - Evaluate and input the result of the following integral.

Proof -

We know that,

dr = dx i + dy j

F = < F1, F2 >

Now, we know

[tex]d(\frac{tanx}{y }) = \frac{d}{dx}(\frac{tanx}{y}) + \frac{d}{dy}(\frac{tanx}{y})[/tex]

So,

[tex]\frac{d}{dx}(\frac{tanx}{y}) =\frac{1}{y} \frac{d}{dx}({tanx}) \\\\ = \frac{sec^{2} x}{y} \\\frac{d}{dy}(\frac{tanx}{y}) = tanx \frac{d}{dy}(y^{-1}) \\ = -\frac{tanx}{y^{2} }[/tex]

Now,

We can see that,

[tex]d(\frac{tanx}{y }) = \frac{sec^{2} x}{y} dx - (\frac{tanx}{y^{2} })dy[/tex]

So,

[tex]\int\limits^{}_C {F. dr} = \int\limits^{}_C d(\frac{tanx}{y} )\\= [\frac{tanx}{y} ]\limits^{(\frac{\pi }{4} ,1)}_{(0,1)}\\= [\frac{tanx}{y} ]\limits^{}_{(\frac{\pi }{4} ,1)} - [\frac{tanx}{y} ]\limits^{}_{(0,1)}\\= \frac{tan(\frac{\pi }{4} )}{1} - \frac{tan 0}{1}\\= 1 - 0\\= 1[/tex]

∴ we get

∫ F dr= 1

c

Answer:

Step-by-step explanation:

Volume formula:

The base is the pentagon, consisting of equal 5 triangles with the height of 4.1 ft and side of 6 ft.

Area of the base:

Volume:

Answer:

C. 4

Step-by-step explanation:

have a nice day! :)

Answer:

4 swimmers

Step-by-step explanation:

Answer:

6.5

Step-by-step explanation:

dude you can search this up

6 1/4

convert both mixed numbers into improper fractions:

multiply the denominator by the whole number and then add the numerator to convert into a improper fraction

4 3/4 = 18/4

1 3/4 = 7/4

then add the two numerators together

the denominator stays the same

18/4 + 7/4 = 25/4

then convert back into a mixed number:

find how many times 4 goes into 25; that's the whole number in your mixed fraction. The remainder is the numerator.

Since 4 goes into 25 6 times and has a remainder of 1, your answer is 6 1/4

Answer:

0.22

Step-by-step explanation:

defective rate is 7 out of 100

defective rate of 4, or 3, or 2, or 1 defective is:

7/100 + 6/99 + 5/98 + 4/97 ≈ 22/100

The required probability for fewer than 5 defective rate is 0.10

An industrial machine produces widgets, but it has a 0.07 defective rate.

What is the probability?

Probability, can be define as the ratio of favorable events to the n number of total events.

defective rate fewer than 5

p of 4 defective + p for 3 defective+ p for 2 defective + p for  1 defective.

total p = 4/100 + 3/99 + 2/98 + 1/97 ≈ 0.10

Thus, The required probability for fewer than 5 defective rate is 0.10

Learn more about probability here:

brainly.com/question/14290572

#SPJ2

Answer:

Interest=PTR/100

110 =P×1×22/100

11000=22P

P=500

Answer:

THE LAST THREE ARE THE ANSWERS

Step-by-step explanation:

Answer and Step-by-step explanation:

We are given a triangle and are asked to solve for the value of y.

We know that the angles in a triangle add up to 180 degrees. So let's add all of the angles together and equal it to 180.

2y + y + 10 + 50 = 180

Combine like terms.

3y + 60 = 180

Now subtract each side by 60.

3y = 120

Finally, divide each side by 3.

y = 40

We get the value of y to be 40.

#teamtrees #PAW (Plant And Water)

Answer:

It should be -3/4

Step-by-step explanation:

I checked with another app

Answer:

they can make 24 2/3 pint jars.

Step-by-step explanation:

16 divided by 2/3 is equal to 24.

Answer:

The claim is true for all values of m.

Step-by-step explanation:

Given

[tex]y = 2 + mx[/tex]

Required

Which claim is true [See comment for options]

A linear equation is represented as:

[tex]y = mx + c[/tex]

Where

[tex]m = slope[/tex]

And the value of m knows no bound

i..e

[tex]m > 0[/tex]

[tex]m = 0[/tex]

[tex]m < 0[/tex]

Hence, (a) is correct

Answer:

[tex](3)\ y = -x[/tex]

[tex](5)\ y = -3x -2[/tex]

Step-by-step explanation:

Required

The equation in slope intercept form

Solving (3):

[tex]m = -1[/tex]

[tex](x_1,y_1) =(4,-4)[/tex]

The equation in slope intercept form is:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = -1(x - 4) -4[/tex]

Expand

[tex]y = -x + 4 -4[/tex]

[tex]y = -x[/tex]

Solving (5):

[tex]m = -3[/tex]

[tex](x_1,y_1) = (1,-5)[/tex]

The equation in slope intercept form is:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = -3(x - 1) - 5[/tex]

Expand

[tex]y = -3x + 3 - 5[/tex]

[tex]y = -3x -2[/tex]

Answer:

0.72%

Step-by-step explanation:

Step-by-step explanation:

hope it is helpful to you

Answer:

the 3 one

Step-by-step explanation:

the rest would be like 0.9721111111 repeating but the 3 one won't be so its 3 one hive me brainlest