Slope - 9; through (6,-9)

Answer:

y=105

Step-by-step explanation:

82+75+x=180

157+x=180

x=23

82+23=y

105=y

Answer:

110 feet

Step-by-step explanation:

Take x as the width of the field.

4x = 440 feet

x = 440 feet ÷ 4

x = 110 feet

So, the field is 110 feet wide #

Answer:

Babies learn to crawl between age of 6 to 10 months.

Step-by-step explanation:

It may take longer for babies to crawl in winter season since the climate restricts the babies movement due to extra clothes. The babies who are born in summer will learn crawling earlier than those who are born in winter season.

Answer:

H = V0y t - 1/2 g t^2     equation for vertical height of object with initial speed     (V0y = V0 sin theta)

If H is to be considered an absolute value from t = 0

h = H + 3 = V0y t - 1/2 g t^2  + 3  where h is height from ground

Answer:

x = 14

JHK =  21

Step-by-step explanation:

The angles are vertical angles and vertical angles are equal

3x-21 = x+7

Subtract x from each side

3x-x -21 = x+7-x

2x-21 = 7

Add 21 to each side

2x-21+21 = 7+21

2x = 28

Divide by 2

2x/2 =28/2

x = 14

JHK = 3x-21 = 3(14) -21 = 42-21 = 21

Answer:

Because ∠GHI and ∠JHK are vertical angles, they're congruent. Therefore, set their angle measures equal to each other & solve for x.

[tex]x+7=3x-21\\x-3x=-7-21\\-2x=-28\\x=\frac{-28}{-2} =14\°[/tex]

Substitute in the value of x to find ∠JHK:

[tex]3x-21=3(14)-21=42-21=21\°[/tex]

Answer:

absolutely yes, because pythagorean theorem is used in a right triangle

and when we match a line from the tee to the hole, we have a right triangle

Step-by-step explanation:

Answer:93/2 or 46.5 mph

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

0.00000004 to the power of 4

Your answer would be 0

Answer:

(3,5)

Step-by-step explanation:

After transformation the point will be (3, 5).  

A rotational transformation can be done clockwise or anticlockwise to certain number of degrees. Rotational transformation does not alter the size and shape of the figure.

Rotating (4,-1) 90° anticlockwise centred at the origin yields the point (1, 4).

Then transforming the point (1, 4) two units to the right and 1 unit up results in the point (3, 5).

We can also rotate 90° clockwise that would result in some different point on this coordinate system.

Instead on a straight line we can also have some 2D figures like a triangle a rectangle etc.

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Answer:

D. Height

General Formulas and Concepts:

Geometry

Area of a Circle: A = πr²

Step-by-step explanation:

In order to find the area of a circle, we must follow the formula. Out of all the options given, height is not incorporated into the formula.

It wouldn't make sense to use height anyways since it would be 3-dimenional and we're talking 2-dimensional.

∴ our answer is D.

9514 1404 393

Answer:

  3

Step-by-step explanation:

20 has at most 3 proper factors greater than 1: 2×2×5. Each of these can represent a prime factor of the number of interest, and is 1 more than that prime's power. That is, the number of interest (n) will have at most 3 prime factors p, q, r, and will be ...

  n = p·q·r^4

_____

For some prime factorization ...

  [tex]\displaystyle n=\prod_{k=1}^m{p_k^{q_k}}[/tex]

The total number of divisors of n is ...

  [tex]\displaystyle\prod_{k=1}^m{(q_k+1)}[/tex]

Answer:

first one is going to be

5.94x10¹¹

second one is going to be

6.89225x10³

Answer:

Step-by-step explanation:

The answer is B

if you have 2^3 * 2*4 to find out what that equals, leave the base (2) alone and add the powers. You get 2^(3 + 4) = 2^7

Let's see if that works.

2^3 = 8

2^4 = 16

8 * 16 = 128

Now what is 2^7?

2^7 = 128 just as it should

Now returning to your question

3^7.869 = answer B You leave the base alone (7) and add the powers. The 8 is 8/10

The 6 is 6/100

The 9 is 9 / 1000 Just add the fractions and keep the 7 and the 3.

Answer:

B. x = 2.77

Step-by-step explanation:

3^x = 21

You first look for a base for 21 that is 3 to the power of something.

21 = 3^2.77

So 3^x = 2^2.77

They have the same base so

x= 2.77

Answer:it’s 3

Step-by-step explanation:

Source trust me bro

pattern. quadrant

(- ,-). III

(+,+). I

(+,-). IV

(-,+). II

Step-by-step explanation:

PLS MARK BRAINLIEST

#4.

Quadrant I - top right: (+, +)

Quadrant II - top left: (-, +)

Quadrant III - bottom left: (-, -)

Quadrant IV - bottom right: (+, -)

#5.

a. (-6, -2) : (-, -) : III

b. (3, 8) : (+, +) : I

c. (1, -4) : (+, -) : IV

d. (-5, 6) : (-, +) : II

Hope this helps!

Answer:

[tex]3-5\left(a-4\right)[/tex]

[tex]-5(a-4)=-5a+20[/tex]

[tex]=3-5a+20[/tex]

[tex]=-5a+23[/tex]

OAmalOHopeO

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{3 - 5(a - 4)}\\\\\huge\text{\underline{\underline{DISTRUBUTE -5 within the parentheses}}}\\\\\large\text{3 - 5(a) - 5(-4)}\\\large\text{= 3 - 5a + 20}\\\\\huge\text{\underline{\underline{COMBINE the LIKE TERMS}}}\\\large\text{-5a + (3 + 20)}\\\large\text{= \bf -5a + 23}\\\\\\\boxed{\boxed{\huge\text{Therefore, your answer is: \bf -5a + 23}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!} \\\\\\\frak{Amphitrite1040:)}[/tex]

The figure has rotational symmetry from the given options is shown in Figure B.

When a figure is rotated (by a certain amount) about a set point on its surface (often the center), and retains its original appearance, it is said to have rotational symmetry.

According to the given question,

We have the given options in this question:

Assuming that the problem in this instance does not require full rotation (because after full rotation, any figure appears to itself when it returns to its original location as it did before), the first figure that possesses rotational symmetry can be chosen.

It is because you obtain the same figure whether you rotate the first figure by a quarter, half, or quarter and a half rotation. For any of the other stated figures, it won't occur (you can imagine those figures rotating, and then will notice that only option B has rotation symmetry for other angles in addition to full rotation).

Therefore, the figure from the listed figures which has rotational symmetry is Figure B.

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Answer:

B

Step-by-step explanation:

B . x+3 and -2x2 - 4x +47-6

B . x+3 and -2x2 - 4x +47-6

The divisor and the dividend for the given synthetic division problem are : [tex]x+3[/tex] and [tex]2x^3+4x^2-4x+6[/tex]

"It is a way of dividing one polynomial by another polynomial of first degree."

"The value that is divided by another value to get the result. "

"The value that divides another number either completely or with a remainder."

For given question,

We have been given a synthetic division problem.

- 3/ 2 4 -4 6

We need to represent the divisor and the dividend for the given synthetic division problem.

We know that, to perform synthetic division, here are the steps:

- The leading coefficient of the divisor should also be 1.

- Express the dividend in standard form.

- Write the leading coefficient in the dividend.

- Place the product of the number you brought down and the number in the division box in the preceding column.

- Write the result at the bottom of the row.

So, the divisor of the given synthetic division form would be,

x - (-3) = x + 3

And the dividend of the given synthetic division form would be,

There are four leading coefficient.

This means the dividend polynomial must be of degree 3.

From the leading coefficients 2 4 -4 6

[tex]2x^3+4x^2-4x+6[/tex]

Therefore, the divisor and the dividend for the given synthetic division problem are : [tex]x+3[/tex] and [tex]2x^3+4x^2-4x+6[/tex]

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9514 1404 393

Answer:

  150 m

Step-by-step explanation:

The relationship between arc length (s), radius (r), and central angle (θ) is ...

  s = rθ

Dividing by θ gives the formula for r:

  r = s/θ = (15π m)/(18°(π/180°))

  r = 150 m . . . . the radius of the circle

Answer:

y=3x+6

Step-by-step explanation:

in a line graph, y=mx+c

m refers to gradient, c refers to y-intercept.

since lines are parallel, both lines have the same gradient.

the line intersects (1,9)

x=1,y=9

9=3(1)+c

c=6

so y=3x+6

Answer:

y = 3x+6

Step-by-step explanation:

Parallel lines have the same slope

y = 3x+2 is in slope intercept form (y=mx+b where m is the slope and b is the y intercept)

So the slope is 3

Y = 3x+2

Using the point given substitute into the equation and solve for b

9 = 3(1)+b

9 =3+b

9-3 =b

6=b

y = 3x+6

Answer:

In a pair of similar triangles, the corresponding sides are proportional.

Step-by-step explanation:

Corresponding sides touch the same two angle pairs. When the sides are corresponding it means to go from one triangle to another you can multiply each side by the same number.

Answer:

coefficient of determination

Step-by-step explanation:

The Coefficient of determination, R² which is the squared value of the correlation Coefficient is used to give Tha proportion of variation in the predicted / dependent variable that can be explained by the regression line. The coefficient of determination ranges from 0 to 1. Once the proportion of explained variation is obtained, the proportion of unexplained variation is ( 1 - proportion of explained variation).

Answer:

622,080

Step-by-step explanation:

The total number of subjects is 3

= 3×2×1

= 6

Six maths book

= 6×5×4×3×2×1

= 720

Four physics book

= 4×3×2×1

= 24

Three chemistry book

= 3×2×1

= 6

6×720×24×6

= 622,080

Hence if the books are grouped together 622,080 arrangement is possible

Answer:  [tex]P = \frac{25}{E^2}-Q\\\\[/tex]

Work Shown:

[tex]E = 5\left(\sqrt{\frac{1}{P+Q}}\right)\\\\5\left(\sqrt{\frac{1}{P+Q}}\right) = E\\\\\sqrt{\frac{1}{P+Q}} = \frac{E}{5}\\\\\frac{1}{P+Q} = \left(\frac{E}{5}\right)^2\\\\\frac{1}{P+Q} = \frac{E^2}{25}\\\\P+Q = \frac{25}{E^2}\\\\P = \frac{25}{E^2}-Q\\\\[/tex]

Answer:

[tex]\frac{da}{dt}=-95.2m/s^2[/tex]

Step-by-step explanation:

From the question we are told that:

Slant height [tex]h=13ft[/tex]

Velocity [tex]v=\frac{dx}{dt}=8[/tex]

Distance [tex]d=12ft[/tex]

Generally the equation for area is mathematically given by

[tex]A=0.5*x*sqrt(169 - x^2)[/tex]

Differentiating

[tex]\frac{da}{dx}=\frac{169-2 x^2}{(2 sqrt(169-x^2))}[/tex]

Multiplying through by dx/dt

[tex]\frac{da}{dx}*\frac{dx}{dt}=\frac{169-2 x^2}{(2 \sqrt{169-x^2})}*\frac{dx}{dt}[/tex]

[tex]\frac{da}{dt}=\frac{169-2x^2}{(2 \sqrt{169-x^2})}*\frac{dx}{dt}[/tex]

[tex]\frac{da}{dt}=\frac{169-(2*12^{2})}{2*\sqrt{(169-12^{2})}}*8[/tex]

[tex]\frac{da}{dt}=-95.2m/s^2[/tex]

Answer:

b

Step-by-step explanation:

Because only the customers who spend more than $100 get to complete the form. The other customers wont be able to complete it(people who spent less than $100). thats why the answer would be sampling bias.

Answer:

Option c.

Step-by-step explanation:

If we have a vector of N components (or variables), and we have K linear independent restrictions for these N components (such that K < N, we can't have more restrictions than components.)

The dimension of the vector will be given by N - K.

Here we know that we have a vector of 5 components, that can be written as:

[tex]v = \left[\begin{array}{ccc}v_1\\v_2\\v_3\\v_4\\v_5\end{array}\right][/tex]

And we have two restrictions, so we can expect that the dimension of the vector is:

5 - 2 = 3

But let's see it, the restrictions are:

"the first row is equal to the second row"

Then we can rewrite our vector as:

[tex]v = \left[\begin{array}{ccc}v_1\\v_1\\v_3\\v_4\\v_5\end{array}\right][/tex]

Notice that now we have only 4 variables, v₁, v₃, v₄, and v₅

We also know that the sum of the rows is equal to zero, thus:

v₁ + v₂ + v₃ + v₄ + v₅ = 0

we know that v₂ = v₁, so we can replace that to get:

2*v₁ + v₃ + v₄ + v₅ = 0

Now we can isolate one of the variables, to write it in term of the others, for example, let's isolate v₅:

v₅ = -2*v₁ - v₃ - v₄

Now if we replace that in our vector, we have:

[tex]v = \left[\begin{array}{ccc}v_1\\v_1\\v_3\\v_4\\-2*v_1 - v_3 - v_4\end{array}\right][/tex]

Notice that our vector depends on only 3 variables,  v₁, v₃, and v₄, so we can define our vector in a 3-dimensional space.

Then the correct option is c, the dimension of the vector space is 3.

Solution :

P(H) = 0.7  ;  P(T) = 0.3

If heads, then Urn H,  1 blue and 4 red marbles.

If tails, then Urn T ,  3 blue and 1 red marbles.

a).

P ( choosing a Red marble )

= P (H) x P( Red from Urn H) + P (T) x P( Red from Urn T)

[tex]$=0.7 \times \frac{4}{5} + 0.3 \times \frac{1}{4}$[/tex]

= 0.56 + 0.075

= 0.635

b).  If P (B, if coin showed heads)

If heads, then marble is picked from Urn H.

Therefore,

P (Blue) [tex]$=\frac{1}{5}$[/tex]

             = 0.2

c). P (Tails, if marble was red)

[tex]$=P (T/R) = \frac{P(R/T)}{P(R)} \ P(T)$[/tex]

Where P (R/T) = P ( red, if coin showed tails)

                        [tex]$=\frac{1}{4}$[/tex]

                        = 0.25 (As Urn T is chosen)

P (R) =  P (Red) = 0.635 (from part (a) )

P (T) = P (Tails) = 0.3

∴ [tex]$P(T/R) = \frac{0.25 \times 0.3}{0.635}$[/tex]

                = 0.118

The base of the triangular garden is calculated as 40 ft

The given parameters include:

The area of a triangle is given as;

[tex]Area \ = \frac{1}{2} \times \ base \times \ height\\\\A = \frac{1}{2} bh\\\\2A = bh\\\\b = \frac{2A}{h} \\\\Recall, \ b= 30 + h\ \ \ and \ A = 200\\\\30+ h = \frac{2(200)}{h} \\\\30 \ + h = \frac{400}{h} \\\\30h + h^2 = 400\\\\h^2 + 30h - 400= 0\\\\Factorize \ the \ above \ expression\\\\h^2 + 40h- 10h- 400 = 0\\\\h(h + 40) - 10(h + 40) = 0\\\\(h- 10)(h+40)= 0\\\\h = 10 \ \ or \ \ -40\\\\since\ the \ height \ can't \ b e\ negative\\\\h = 10 \ ft\\\\[/tex]

Now solve for 'b' = 30 ft + 10 ft  =  40 ft

Therefore, the base of the garden is 40 ft

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