in APQR, T, U and S are points of tangency. PR - 12 units. Find TR
0

Answer:

Step-by-step explanation:

The vertex is a point. The x value is defined as x = - b / 2a where

a = -3

b = - 12

x = - -12/ 2* -3

x = 12 / - 6

x = -2

what is y when x = - 2?

y = -3(-2)^2 - 12(-2) - 13

y = -12 + 24 - 13

y  = -1

Does the graph agree? It should

The equation is written as

y = -3(x + 2)^2 - 1

Answer:

96

Step-by-step explanation:

area is B*H*L

6*8*2 = Area

96 = Area

Answer:

4

Step-by-step explanation:

The number of kids who like vanilla is 13 the number of kids who like strawberry is 9

13-9=4

hope this helps!!

Answer:

B: VY = YB = YJ

Step-by-step explanation:

Looking at the options;

A) ∠VYB is not equal to ∠SJY because SJY is a straight line while ∠VYB is an angle.

B) VY = YB = YJ. This is true because they all start from Y which is the centre of the circle and they all terminate at the perimeter of the circle.

Thus,they are all equal to the radius and thus statement is true.

C) ∠SYV ≠ ∠SYB because there is no proof given that the angle of tilt is the same.

D) TX = MP = YJ is not true because TX and MP are chords which by inspection don't seem equal and neither the radius YJ appears to be equal to them.

E) ∠MJY ≠ ∠XSY because they have nothing in common in terms of angle.

Answer:

1year?hehehehehehehehehe

Answer:

Null hypothesis :

Grades have not improved for a majority of students

Alternative hypothesis :

Grades have improved for a majority of students

Step-by-step explanation:

The null and alternative hypothesis for this scenario who see the null hypothesis take a midpoint between improvement and decline ; which can be expressed as ;

H0 : p = 0.5

This means that the performance of students is at a centre point where it could swing either way (decline or improve).

To test of grade has improved students, the, the proportion of f students who have proved should be greater. Which is what the test intends.

H1 : p > 0.5

Answer:

[tex](x - 6)^2 + (y - 2)^2 = 2^2[/tex].

Step-by-step explanation:

In general, let [tex](a,\, b)[/tex] denote the center of a given circle. Let [tex]r[/tex] denote the radius of that circle. The standard equation for that circle would be:

[tex](x - a)^2 + (y - b)^2 = r^2[/tex].

The circle in this question is centered at [tex](6,\, 2)[/tex].  

The radius of this circle is [tex]2[/tex]. Therefore, [tex]r = 2[/tex].

Hence, the standard equation for this circle would be:

[tex](x - 6)^2 + (y - 2)^2 = 2^2[/tex].

Answer:

The mean percentage of hourly employees being laid off at these stores is 52.

The median percentage of hourly employees being laid off at these stores is 55.

Step-by-step explanation:

Mean:

Sum of all values divided by the number of values.

So

[tex]M = \frac{55+56+44+43+44+56+60+62+57+45+36+38+50+69+65}{15} = 52[/tex]

The mean percentage of hourly employees being laid off at these stores is 52.

Median:

Value that separate the lower 50% from the upper 50% in the sorted set.

The sorted set is

36 38 43 44 44 45 50 55

The set has cardinality 15, which is an odd number, so the median is the element at the position (15+1)/2 = 8 of the sorted set, which is 55.

The median percentage of hourly employees being laid off at these stores is 55.

Answer:

million

Step-by-step explanation:

Answer:

d = 3

Step-by-step explanation:

The common difference d is the difference between consecutive terms, that is

d = 1 - (- 2) = 4 - 1 = 3

26 balls

Step-by-step explanation:

have to at least take 11 red, 10 green 5 yellow so have 12 balls in bag

This question is incomplete, the complete question is;

According to a recent survey, 73% of all customers will return to the same grocery store. Suppose 14 customers are selected at random, what is the probability that: (Round probabilities to 4 decimal places and the expected customers to 2 decimal places)

a) All 14 will return?

b) How many customers would be expected to return to the store ?

Answer:

a) the probability that All 14 will return is 0.0122

b) The number of customers that would be expected to return to the store is 13.27

Step-by-step explanation:

Given the data in the question;

p = 73% = 0.73

sample size n = 14

a)  the probability that All 14 will return;

P( x = 14 ) = ⁿCₓ × Pˣ × [tex]( 1 - P)^{n-x[/tex]

we substitute

P( x = 14 ) = ¹⁴C₁₄ × (0.73)¹⁴ × [tex]( 1 - 0.73)^{(14-14)[/tex]

P( x = 14 ) = [ 14! / ( 14! × ( 14 - 14)!) ] ×  (0.73)¹⁴ × [tex]( 0.27)^{0[/tex]

P( x = 14 ) = 1 × 0.0122045 × [tex]( 0.27)^{0[/tex]

P( x = 14 ) = 1 × 0.0122045 × 1

P( x = 14 ) = 0.0122045 ≈ 0.0122 { 4 decimal place }

Therefore, the probability that All 14 will return is 0.0122

b) Expected Customers;

E(x) = n × p

we substitute

E(x) = 14 × 0.73

E(x) =  13.27  { 2 decimal place }

Therefore, The number of customers that would be expected to return to the store is 13.27

Answer:

28.3 grams

Step-by-step explanation:

One ounce is 28.3 grams.

Answer:

x = 0, x = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Given

8x² - 12x = 0 ← factor out 4x from each term

4x(2x - 3) = 0

Equate each factor to zero and solve for x

4x = 0 ⇒ x = 0

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]

Answer:

H.

Step-by-step explanation:

16x^2 is the big square area and the -10x comes from subtracting the smaller area from the big one

Answer:

H. is the answer

hope this helps

have a good day :)

Step-by-step explanation:

Answer: I think it is false...

Answer:

134+144

Step-by-step explanation:

just take the answer (278)- the number they give you

278-

134

144

Answer:

Solution given:

x+134=278

subtracting 134 each term

x+134-134=278-134

x=144

Answer:

[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5) = \sqrt{14} - \sqrt{10} +\sqrt{35} - 5[/tex]

Step-by-step explanation:

Given

[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5)[/tex]

Required

Solve

We have:

[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5)[/tex]

Open bracket

[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5) = \sqrt{2*7} - \sqrt{2*5} +\sqrt{5*7} - \sqrt{5* 5}[/tex]

[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5) = \sqrt{14} - \sqrt{10} +\sqrt{35} - 5[/tex]

Solve the equation for  

n

by finding  

a

,  

b

, and  

c

of the quadratic then applying the quadratic formula.

Exact Form:

n

=

−

2

±

2

√

37

9

Decimal Form:

n

=

1.12950278

…

,

−

1.57394722

…

Answer:

C. 7.6 feet

Step-by-step explanation:

The measure of the diagonal of the rectangular garden will be 7.6 feet. Then the correct option is C.

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

Landon has a rectangular garden with an area of 27.6 square feet. If the length of the garden is 6.2 feet.

Then the width of the garden will be

Area = Length x Width

27.6 = 6.2 x W

    W = 4.45

Then the measure of the diagonal of the rectangular garden will be

D² = L² + W²

D² = 6.2² + 4.45²

D² = 38.44 + 19.8

D² = 58.24

D = 7.63

D ≅ 7.6 feet

Thus, the correct option is C.

More about the rectangle link is given below.

https://brainly.com/question/10046743

#SPJ2

Answer:

Graph at 0 with open circle and arrow pointing right. Right now, all you need to do is open circle

Step-by-step explanation:

Dot at 0 bc 0 is only number in equation

Open circle because there is no "or equal to", so it doesn't include zero

pointing right because right is greater than

Answer:

175.5in

Step-by-step explanation:

12 x 9 + 67.5

If this answer is incorrect (Which it should not be) than try 243

Answer:

9 + 3 + 3 = 15

15 x 12 x 1/2(basically just dividing by 2) = 90

9 x 12 = 108

108 + 90 = 198 in^2 for a

7 x 7 = 49

7 x 7 = 49, 49 divided by 2 ( x 1/2) = 24.5

49 + 24.5 = 73.5 ft^2 for b

Answer:

There is no picture but I think b

Step-by-step explanation:

Answer:

(p, q) is (2, 5)

Step-by-step explanation:

Given the expression

x^2  + 3x - 10

Factorize;

x^2 + 5x - 2x - 10

x(x+5) - 2(x+5)

(x-2)(x+5)

Comparing with (x + p)(x + 9).

x+2 = x+ p

x-x+2 = p

2 = p

p = 2

Similarly;

x+5 = x+q

x-x+5 = q

5 = q

q=  5

Hence (p, q) is (2, 5)

Answer:

C

Step-by-step explanation:

Answer:

[tex]Fraction = \frac{31}{38}[/tex]

[tex]\theta = 296.18^\circ[/tex]

[tex]Area = 29.62 \pi[/tex]

Step-by-step explanation:

Given

[tex]r = 6[/tex]--- radius

[tex]L = 31[/tex] --- arc length

Solving (a): Fraction represented by the arc

First, calculate the circumference (C)

[tex]C = 2\pi r[/tex]

So, we have:

[tex]C = 2 * 3.14 * 6[/tex]

[tex]C = 38[/tex] --- approximated

So, the fraction represented by the arc is:

[tex]Fraction = \frac{L}{C}[/tex]

[tex]Fraction = \frac{31}{38}[/tex]

Solving (b): Measure of the center angle

Using arc length formula, we have:

[tex]L = \frac{\theta}{360} * 2\pi r[/tex]

This gives

[tex]31 = \frac{\theta}{360} * 2 * 3.14 * 6[/tex]

[tex]31 = \frac{\theta}{360} * 37.68[/tex]

Make [tex]\theta[/tex] the subject

[tex]\theta = \frac{360 * 31}{37.68}[/tex]

[tex]\theta = 296.18^\circ[/tex]

Solving (c): The area of the sector

This is calculated as:

[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]

So, we have:

[tex]Area = \frac{296.18}{360} * \pi * 6^2[/tex]

[tex]Area = \frac{296.18}{360} * \pi * 36[/tex]

Divide 360 and 36

[tex]Area = \frac{296.18}{10} * \pi[/tex]

[tex]Area = 29.618 * \pi\\[/tex]

[tex]Area = 29.62 \pi[/tex] --- approximated

Answer:

3024

Step-by-step explanation:

l * w * h

18 in. * 12 in. * 14 in.

there are 12 inches in 1 foot.