Select the values that make the inequality h < 2 true.
(Numbers written in order from least to greatest going across.)

Answer:

150

Step-by-step explanation:

Since y is directly proportional to sqrt((x+2)^2), there is a constant,k, such that

y=ksqrt((x+2)^2)

We are given a pair (x,y) in this relation. Let's plug in (8,250 ) to find k.

250=ksqrt((8+2)^2)

250=ksqrt((10)^2)

250=k10

250/10=k

25=k

So for any pair (x,y) we have the relation y=25((x+2)^2).

We are asked to find y when x=4.

y=25((4+2))^2

y=25(6)

y=150

Test to see if y is proportional to sqrt((x+2)^2)

For the given points: 250/150=10/6

The equation is true so we're great.

======================================================

Work Shown:

Find the midpoint of the percentages given.

A = 3.9

B = 7.3

C = midpoint of A and B = point estimate

C = (A+B)/2

C = (3.9+7.3)/2

C = 11.2/2

C = 5.60

5.60% is the point estimate

Side note: The margin of error is B-C = 7.3-5.6 = 1.70%, or you could say C-A = 5.6 - 3.9 = 1.70%

The mean percentage of reservations that are canceled on the day of the flight is equal to the 5.60%

We have to determine the midpoint of the percentages given.

A = 3.9

B = 7.3

C = midpoint of A and B = point estimate

C = (A+B)/2

C = (3.9+7.3)/2

C = 11.2/2

C = 5.60

5.60% is the point estimate

Side note: The margin of error is

B-C = 7.3-5.6

B-C= 1.70%, or you could say

C-A = 5.6 - 3.9

C-A= 1.70%

Therefore the midpoint of B and C is 1.70% and the midpoint in between C-A is 1.70%.

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Answer:

- [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\frac{2x-3y}{2x+3y}[/tex] ← factor out y from each term on numerator/ denominator

= [tex]\frac{y(2\frac{x}{y} -3)}{y(2\frac{x}{y} +3)}[/tex]

= [tex]\frac{2(\frac{3}{4})-3 }{2(\frac{3}{4})+3 }[/tex]

= [tex]\frac{\frac{3}{2}-3 }{\frac{3}{2}+3 }[/tex]

= [tex]\frac{-\frac{3}{2} }{\frac{9}{2} }[/tex]

= - [tex]\frac{3}{2}[/tex] × [tex]\frac{2}{9}[/tex]

= - [tex]\frac{3}{9}[/tex]

= - [tex]\frac{1}{3}[/tex]

length of base is2 inches:

Answer:

Solution given:

According to the questionArea of triangle=14 square inches

bh=14

7*b=14

b=14/7

b=2

length of base is2 inches:

if

A=½bh

then

Area of triangle=14 square inches

½bh=14

½*7*b=14

b=14*2/7

b=4 inches

the length of the base of the triangle is 4inches.

The length of the base of the triangle will be;

⇒ b = 2 inches.

Option 3 is true.

What is mean by Triangle?

A triangle is a three sided polygon , which has three vertices and three angles with sum 180 degree.

Given that;

The area of a triangle = 14 square inches

Height of a triangle = 7 inches

Now,

The given formula for a triangle is;

⇒ A = bh

Where, A is the area, b is base and h is the height of the triangle.

Substitute all the values in above equation, we get;

⇒ A = bh

⇒ 14 = b x 7

Divide by 7, we get;

⇒ 14/7 = b

⇒ b = 2 inches.

Therefore,

The length of the base of the triangle will be;

⇒ b = 2 inches.

Option 3 is true.

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Answer:

6

Step-by-step explanation:

4 x 6=24 9 x 2=18

24-18=6

Answer:

9 cm

Step-by-step explanation:

y = 12 - 3

y = 9

Answer:

b could be -1 or 0

Step-by-step explanation:

f(x) = 3x^2 +bx+2

if it has no real roots, the discriminant must be less than zero

b^2 -4ac <0

a=3  b=b  c=2

b^2 - 4(3)(2) <0

b^2 - 24 <0

b^2 < 24

Taking the square root of each side

b< 2 sqrt(6)  and b > 2 sqrt(6)

b could be -1 or 0

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Jon:

Initial investment (PV)= $14,500

Interest rate (i)= 0.05/4= 0.0125

Number of periods (n)= 4 quarters

Sara:

Initial investment (PV)= $16,250

Interest rate (i)= 0.04/365= 0.00011

Number of periods (n)= 365 days

To calculate the Future Value, we need to use the following formula:

FV= PV*(1+ i)^n

Jon:

FV= 14,500*(1.0125^4)

FV= $15,238.71

Sara:

FV= 16,250*(1.00011^365)

FV= $16,915.67

Sara will have $1,676.96 more than Jon.

Answer:

100 - 3.1 = 96.9

142000 - 96.9 = 1410903.1

Answer:

C. ASA Similarity

Step-by-step explanation:

Using the Angle-Side-Angle Similarity Theorem is the only thing we can do because looking above we see that we know two angles and one side. Hence, this can be the only theorem that is fit for these two triangles.

Answer:

We can be 95% confident that the true proportion of listeners who will see a live music show in the next month is between 64% and 72%.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

A 95% confidence interval for the population proportion was 0.68 ± 0.04.

We are 95% sure that the true population proportion is between 0.68 - 0.04 = 0.64 and 0.68 + 0.04 = 0.72.

Thus, the correct answer is:

We can be 95% confident that the true proportion of listeners who will see a live music show in the next month is between 64% and 72%.

The required round of the time 97.5 is 98 seconds.

Given that,

Albert jumped 100 times in 97.5 seconds. To round off the time taken to the nearest second.​

The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
in 97.5 seconds 0.5 in the tenth place is close to 1,

So the round off the number will be 98 seconds,

Thus, the required round of the time 97.5 is 98 seconds.

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Answer: here’s your answer

Step-by-step explanation:

pages are 60

sheet 15

on one sheet we get no of

pages=60/15=4

on one sheet we get 4 pages

they are stuck each other

so

let we consider

on1st sheet page no 1=60

2=59

so 7pageno. missing with also 8

(because attaching each other)

7=60-7

8=60-8

answer is 7,8,52,53pages are 60

sheet 15

on one sheet we get no of

pages=60/15=4

on one sheet we get 4 pages

they are stuck each other

so

let we consider

on1st sheet page no 1=60

2=59

so 7pageno. missing with also 8

(because attaching each other)

7=60-7

8=60-8

answer is 7,8,52,53

Answer:

Step-by-step explanation:

(number of sides-2)*180 = (6-2)*180 = 720°

a= 720/6= 120°

lines form 180° angles

b= 180-120= 60°

sum of angles in a triangle is 180, and the angles are ≡

c=180/3 = 60°

c and d are supplementary angles (they add to 180)

d= 180-60 = 120°

d ≡ e+e because are vertical angles

e= 120/2 = 60°

sum of angles in a triangle is 180

f= 180 -90-60 = 30°

(number of sides-2)*180 = (5-2)*180 = 540°

g= 540/5= 108°

Answer:

1 11/12

Step-by-step explanation:

convert to common denominators.

1 1/6 = 7/6 = 14/12

3/4 = 9/12

14+9=23

23/12

1 11/12

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hope it helps

Answer:

1)     (2,4)

2)    (5,-2)

Step-by-step explanation:

those are the points at which the lines cross making them the solutions to the equations

Answer:

The ratio of volumes is of 27.

Step-by-step explanation:

Volume of a cuboid:

A cuboid has dimensions length l, width w and height h. The volume is given by:

[tex]V = lwh[/tex]

Multiplying dimensions by 3:

This means that l = 3l, w = 3w, h = 3h. So

[tex]V_m = 3l(3w)(3h) = 3*3*3*lwh = 27lwh[/tex]

Ratio of volumes:

[tex]\frac{V_m}{V} = \frac{27lwh}{lwh} = 27[/tex]

The ratio of volumes is of 27.

Answer:

B

Step-by-step explanation:

[tex] \sqrt[y]{ {x}^{z} } = {x}^{ \frac{z}{y} } \\ [/tex]

Answer:

Slope = 1/4

Step-by-step explanation:

[tex]slope = \frac{y2-y1}{x2-x1} \\m=\frac{3-2}{3--1} \\m=1/4[/tex]

Answer:

i think false

Step-by-step explanation:

Answer:

Reason : by ASA , x = 36

Step-by-step explanation:

∠ABC = ∠EBD      (vertically opposite angle)

BC = BD = 54        (same length)

∠BAC = ∠BDE       (alternate interior angles)

By ASA , ΔABC ≅ ΔDBE

[tex]54 \times x = 36 \times 54\\\\x = 36[/tex]

Answer:

[tex](x -1)^2 + (y+1)^2 = 0.25[/tex]

Step-by-step explanation:

Given

The attached graph

Required

The equation of the circle

The equation of a circle is:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

Where

[tex](h,k) \to center[/tex]

[tex]r \to radius[/tex]

From the attached graph,

[tex](h,k) = (1,-1)[/tex]

[tex]r = 0.5[/tex]

So, we have:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

[tex](x -1)^2 + (y--1)^2 = 0.5^2[/tex]

[tex](x -1)^2 + (y+1)^2 = 0.5^2[/tex]

[tex](x -1)^2 + (y+1)^2 = 0.25[/tex]

Answer:

The probability of drawing an odd numbered ticket is 60%.

Step-by-step explanation:

Odd numbered tickets:

Probability of one is 1/5 plus half of 1/5.

[tex]P(X = 1) = \frac{1}{5} + \frac{1}{10} = \frac{3}{10}[/tex]

Probability of 3 is half of 1/5.

[tex]P(X = 3) = \frac{1}{10}[/tex]

Probability of 5 is 1/5. So

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

Probability of drawing an odd numbered ticket:

[tex]p = P(X = 1) + P(X = 3) + P(X = 5) = \frac{3}{10} + \frac{1}{10} + \frac{1}{5} = \frac{4}{10} + \frac{2}{10} = \frac{6}{10} = 0.6[/tex]

0.6*100% = 60%

The probability of drawing an odd numbered ticket is 60%.

9514 1404 393

Answer:

  coterminal angle: 98°

  reference angle: 82°

Step-by-step explanation:

Adding 360° × 3 = 1080° brings the angle into the range 0-360°.

The coterminal angle is -982 +1080° = 98°

This is a 2nd-quadrant angle. The reference angle is 180° -98° = 82°.

9514 1404 393

Answer:

  Q = ±2√R

Step-by-step explanation:

Take the square root:

  ±√R = 1/2Q

Multiply by 2:

  Q = ±2√R

Answer:

76

Step-by-step explanation:

Answer:

I believe the answer is 76

is (0,0) a solution to what system?