If y =
ya
x and x = -18, find y.

Answer:

A

Step-by-step explanation:

Given p² varies inversely as q then the equation relating them is

p² = [tex]\frac{k}{q}[/tex] ← k is the constant of variation

To find use the condition when q = 6, p = 4 , then

4² = [tex]\frac{k}{6}[/tex]

16 = [tex]\frac{k}{6}[/tex] ( multiply both sides by 6 )

96 = k

p² = [tex]\frac{96}{q}[/tex] ← equation of variation

When p = 12 , then

12² = [tex]\frac{96}{q}[/tex] ( multiply both sides by q )

144q = 96 ( divide both sides by 144 )

q = [tex]\frac{96}{144}[/tex] = [tex]\frac{2}{3}[/tex] → A

Answer:

d. 90°

Step-by-step explanation:

Recall: based on the properties of a kite, the angles where the two unequal sides meet are congruent, this means that m<S = m<U.

Also, the sum of all angles of a kite = 360°

Therefore:

m<S + m<U + m<R + m<T = 360°

m<S = m<U = 80°

m<R = 110°

Substitute

80° + 80° + 110° + m<T = 360°

270° + m<T = 360°

Subtract 270° from each side

m<T = 360° - 270° = 90°

Answer:

530!

Step-by-step explanation:

subtract the biggest value and the lowest value

Answer:

530

Step-by-step explanation:

Order the numbers from least to greatest, get the biggest and the lowest number and subtract both and then you find the range.

340,400,400,870

870-340= 530

Answer:

25%

Step-by-step explanation:

box plots are all about quartiles:

in theory, 25% of the data should reside between the minimum and the first quartile

in theory, 25% of the data should reside between the first quartile and the median

in theory, 25% of the data should reside between the median and the third quartile

in theory, 25% of the data should reside between the third quartile and the maximum

Answer:

Perimeter = 9 . 4=36 ft

lateral area=(perimeter . slant height) / 2 = (36 . 12) /2 = 216 sq ft

area of the base=9*9=81 sq ft

Surface area = LA+BA = 216 + 81 = 297 sq ft

Answer:

Step-by-step explanation:

it is already in factors.

Answer:

V= 1268.2

Step-by-step explanation:

Answer:

c=9.1 miles

Step-by-step explanation:

a^2+b^2=c^2

6.2^2+6.7^2=c^2

38.44+44.89=c^2

83.33=c^2

√83.33=c

c=9.12852671574

Round to nearest 10th

c=9.1

If this helps please mark as brainliest

Answer:

9.1 miles

Step-by-step explanation:

6.7²+6.2²=h² 44.89+38.44=h² 83.33=h² find the square root of 83.33

Step-by-step explanation:

Perimeter of EFGH=2.5+1.5+4+2

=10

=

9514 1404 393

Answer:

  f(-2) = -6

Step-by-step explanation:

The remainder theorem tells you the remainder from division by x+2 is the value of f(-2). We can conclude ...

  f(-2) = -6

Answer:

A

Step-by-step explanation:

There is an x in all for terms that means that x = 0 is one of the factors and H is incorrect.

One of the remaining factors is x^2 - 9 which factors into (x - 3)(x + 3)

You are told that x = 1  is a zero which means x - 1 is a factor.

The answer is g(x) = x (x - 3)(x + 3) (x - 1) which is A

Answer:

Option A.

(x + 8) + (–4x + 31) / (x² + 2x + 1)

Step-by-step explanation:

x³ + 10x² + 13x + 39 / x² + 2x + 1

To rewrite the above expression in the form q(x) + r(x) / b(x), we shall simply divide (x³ + 10x² + 13x + 39) by

(x² + 2x + 1)

Please see attached photo for explanation

From the attached photo,

the quotient q(x) = x + 8

The remainder r(x) = –4x + 31

Divisor b(x) = x² + 2x + 1

Thus,

x³ + 10x² + 13x + 39 / x² + 2x + 1

= (x + 8) + (–4x + 31) / (x² + 2x + 1)

Answer:

1 kg = 1000 grams

15,000 grams = 15kg

Answer:

D. Yes, because it passes the vertical line test

Step-by-step explanation:

Answer:

For the first one its B.

Second is A

Third is A

Fourth is A

Fifth is A

Sixth is A

Seventh is B

Eight is A, basically you have them right.

Answer:

C: 18

Step-by-step explanation:

Answer:

He should use 139

Step-by-step explanation:

Because that's the highest score he got and in bowling and you want the highest score in bowling!!!

Answer:

1

Step-by-step explanation:

Answer:

1/2, 2/4

Step-by-step explanation:

4/8 = (2/4) =1/2 (if you divide up and down by the same number)

so 4/8 = 1/2

next, let's simplify the choices we have:  (1/5) (2/6) (1/4) (1/2) (2/4)

1/5 is already simplified

2/6 = 1/3

1/4 is already simplified

1/2 is already simplified

2/4 = 1/2

Which of these is equal to 4/8 (aka 1/2)?

Answer: 1/2 and 2/4

Answer:

8422

Step-by-step explanation:

Answer:

5. 2√6

6. 4

Step-by-step explanation:

5. x =√[3×(3+5] = √3×8 =√24=2√6

6. x(x+5)=6²

x²+5x=36

x²+5x-36=0

(x+9)(x-4) =0

x=-9 or x=4

The area of the given region under the curve of a function f(x) = ax + b on the interval [0, 4] is 16 square units. So, all the options satisfy the value of a and b except (7, -9).

Supposing that there is no direct formula available for deriving the area, we can derive the area of that region by dividing it into smaller pieces, whose area can be known directly.

Then summing all those pieces' area gives us the area of the main big region.

The area of the given region under the curve of a function f(x) = ax + b on the interval [0, 4] is 16 square units.

f(x) is a linear function, the area under the curve on the interval [0,4] is a trapezoid with a height of 4 and bases of lengths f(0) and f(4).

The area of a trapezoid is the height times the average of the bases.

a. f(x)=-2x+8  f(0)=8, f(4)=0;

   area = 4(8/2) = 16

b. f(x)=x+2; f(0)=2, f(4)=6;

   area = 4(8/2) = 16

c. f(x)=3x-2; f(0)=-2, f(4)=10;

    area = 4(8/2) = 16

d. f(x)=5x-6; f(0)=-6, f(4)=14;

    area = 4(8/2) = 16

e. f(x)=7x-9; f(0)=-9, f(4)=19;

     area = 4(10/2) = 20

Thus, The area is NOT 16 for choice e.

Learn more about Area here:

https://brainly.com/question/13056790

#SPJ2

Answer:

14

Step-by-step explanation:

Given

See attachment for proper stem plots for both district

Required

The sample size for Southeastern

The stem plot for southeastern is:

[tex]Stem | Leaf[/tex]

[tex]0 | 5\ 5\ 7\ 8[/tex]

[tex]1 | 1\ 2\ 3\ 5\ 9\ 9[/tex]

[tex]2 |2\ 7[/tex]

[tex]3 | 3[/tex]

[tex]4 | 1[/tex]

[tex]5 |[/tex]

To get the sample size, we simply count the leaves

The leaves are:

[tex]Leaves = \{5, 5, 7, 8, 1, 2, 3, 5, 9 ,9,2,7,3,1\}[/tex]

The number of leaves is:

[tex]n(Leaves) = 14[/tex]

Hence, the sample size is 14

Answer:

hey, angle x:

it's 60 degree

Answer:

A cross section parallel to the base is a square with side lengths of less than 2 ft.

A cross section perpendicular to the base through the top vertex is a triangle with different dimensions than the triangular sides of the pyramid.

A cross section that is perpendicular to the base that does not pass through the top vertex of the pyramid is a trapezoid.

B D E

Step-by-step explanation:

Answer:

BDE

Step-by-step explanation:

I GOT IT RIGHT

Answer: 18767.76

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

because the coordinate of x is negative