5. Which parent function is undefined at x =
0?

Answer:

Bb

Step-by-step explanation:

Answer:

Step-by-step explanation:

Corresponding sides have same ratio:

Correct option is B

Step-by-step explanation:

5  $

Answer:

Hope this helps

Step-by-step explanation:

Answer:

  see below

Step-by-step explanation:

You want an arithmetic expression using four 4s that evaluates to each of the digits 0-9.

0 = 4 +4 -4 -4

1 = 4/4 +4 -4

2 = 4 -(4 +4)/4

3 = (4 +4 +4)/4

4 = 4 + (4 -4)*4

5 = (4*4 +4)/4

6 = 4 +(4 +4)/4

7 = 4 +4 -4/4

8 = 4 +4 +4 -4

9 = 4 +4 +4/4

Given:

A trapezoid has a height of 16 miles.

The lengths of the bases are 20 miles and 35 miles.

To find:

The area of the trapezoid.

Explanation:

Using the area formula of the trapezoid,

On substitution we get,

Therefore the area of the trapezoid is 440 square miles.

Final answer:

The area of the trapezoid is 440 square miles.

answer:Ergonomics: A bridge between fundamentals and applied research.

Kala spun the spinner 1000 times and got the following results:

- Yellow: 400 times

- Red: 300 times

- Blue: 300 times

1. Calculate the amount of sales tax:

  - The item costs $350 before tax.

  - The sales tax rate is 14%.

  - To find the sales tax amount, multiply the cost of the item by the tax rate:

    Sales tax = $350 * 0.14 = $49.

2. Determine the total cost of the item including tax:

  - Add the sales tax amount to the original cost of the item:

    Total cost = $350 + $49 = $399.

3. Analyze the spinner results:

  - The spinner has 10 equal-sized slices.

  - There are 4 yellow slices, 3 red slices, and 3 blue slices.

  - Kala spun the dial 1000 times.

4. Calculate the frequency of each color:

  - Yellow: Kala got 400 yellow results out of 1000 spins.

  - Red: Kala got 300 red results out of 1000 spins.

  - Blue: Kala got 300 blue results out of 1000 spins.

5. Calculate the probability of landing on each color:

  - Yellow: Probability = Frequency of yellow / Total spins = 400 / 1000 = 0.4.

  - Red: Probability = Frequency of red / Total spins = 300 / 1000 = 0.3.

  - Blue: Probability = Frequency of blue / Total spins = 300 / 1000 = 0.3.

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The search results are unrelated to the question of finding the reflection image of (5, -3) across the y-axis. To find the reflection image of a point across the y-axis, we need to change the sign of the x-coordinate of the point. Therefore, the reflection image of (5, -3) across the y-axis is (-5, -3).

Answer:

X is greater than or equal to 2 or X > 1

The equatiοn fοr the parabοla is  y= (- 21/2 )x²

A parabοla is a mirrοr-symmetrical, rοughly U-shaped planar curve that is used in mathematics. It cοrrespοnds tο a number οf mathematical explanatiοns that appear tο differ οn the surface but which all define the same curves.

A line and a pοint (the fοcus) are twο ways tο describe a parabοla (the directrix). Nοt the directrix is the main fοcus. The lοcatiοn οf pοints in that plane that are equally spaced apart frοm the directrix and the fοcus is knοwn as the parabοla. Cοnic sectiοns, which are fοrmed when a right circular cοnical surface and a plane perpendicular tο anοther plane that is tangential tο the cοnical surface intersect, are anοther way tο describe parabοlas.

Vertex is at (0,0) ,  directrix is at y=1/42

Equatiοn οf parabοla is y = a(x-h)² + k---------(1)

(h,k ) is the vertex, (h,k )= (0,0)

(1)=> y = a(x-0)² + 0

=>  y= ax² ----------(2)

Directrix is abοve the vertex. sο parabοla οpens dοwnwards and

'a' is  negative

The distance οf directrix frοm vertex is  1/42

D= 1/4|a| =>  1/42 =  1/4|a|  =>  |a| = 21/2

=> a = - 21/2

(2)=>  y= (- 21/2 )x²

The equation for the parabola is  y= (- 21/2 )x²

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Answer:

d. median of 1999 data

Step-by-step explanation:

a=10,249.25 (add all the 1998 data then divide by 4)

b=619 (add all 1999 data then divide by 4)

c= 2568 10050 12047 16332

10050+12047/2

d=3026 9904 13063 16546

9904+13063/2

This means that 5% of the 10-1/2-month-old baby boys in the reference population weigh 16.7 pounds or less, and 95% of these baby boys weigh 16.7 pounds or more.

The determination is based on the definition of a percentile. A percentile is a value below which a certain percentage of the data falls. So, in this case, if a weight of 16.7 pounds is at the 5th percentile for 10-1/2-month-old baby boys, then 5% of the baby boys in the reference population have a weight of 16.7 pounds or less. This also means that the remaining 95% of the baby boys in the reference population have a weight of more than 16.7 pounds.

The calculation of percentiles is based on the ranking of the data set. The data is first sorted in ascending order and then divided into 100 equal parts, with each part representing a percentile. The value at each percentile is the value below which a certain percentage of the data falls.

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Answer:

20% increase

Step-by-step explanation:

((540 - 450) / 450) * 100

(90 / 450) * 100

0.2 * 100

= 20% change (increase)

Hope this helps!!

Answer:

3/4

Step-by-step explanation:

First, make the denominator of 1/2 equal to the denominator of 11/12. We know 2x6=12. So we must multiply the numerator of 1/2 (1) by 6. We would get the answer 6/12. We must now subtract the numerators. 11-6=5. That leaves us with 5/12+2/6. Now we must do the same to 2/6. 2x6=12. Then, 2x2=4. That leaves us with 5/12+4/12=9/12. Now to simplify, we must find a common divider. We know 9 can be divided by 3, and so can 12. 9/3=3. 12/3=4. Final answer is 3/4.

The correct option D: the origin, has the symmetry of the volume of sphere for the graph of the function rule.

For the stated question.

The volume of the sphere is modeled by the power function with respect to the radius as;

V = f(r) = 4/3πr³

As, r is independent of any of the coordinate axis.

Thus, the function rule's graph, which describes the volume of the sphere, is symmetric with regard to the origin.

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Answer:

HI = 8

TU = 45

Step-by-step explanation:

→ Find the scale factor enlargement

45 ÷ 10 = 4.5

→ Multiply JI by the scale factor to find it

10 × 4.5 = 45

→ Divide UV by the scale factor to find it

36 ÷ 4.5 = 8

Answer:

TU = 27

GH = 8

HI = 8

Explanation:

FGHIJ ≅ TUVWS

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

Given sides:
JF = 10, ST = 45

JI = 10, SW = ?

FG = 6, TU = ?

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

Scale Factor: 45/10 = 4.5

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

TU = 6 * 4.5 = 27

GH = 36/4.5 = 8

HI = 36/4.5 = 8

The solutions are = 8L of 25% brine solution and 20L of 18% brine solution.

Let the variable X to represent the amount of 25% brine solution that was used.

We then have (28-X) to represent the amount of 18% solution, and we can create the following equation: 

 0.25X + 0.18(28-X) = 0.20 × 28 

 Now solve for X.

 0.25X + 0.18(28-X) = 0.20 × 28

 0.25X + 0.18 × 28 - 0.18X = 0.20 × 28

 0.07X + 0.18 × 28 = 0.20 × 28

 0.07X = 0.20 × 28 - 0.18 × 28

 0.07X = (0.20 - 0.18) × 28

 0.07X = 0.02 × 28

 0.07X = 0.56

 X = 8 

So, we used 8 L of the 25% brine solution. And 28 - 8 = 20 L of the 18% solution.

Hence the solutions are = 8L of 25% brine solution and 20L of 18% brine solution.

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Answer:

16.8

Step-by-step explanation:

2/5 = 0.4

1 regular sock = 0.4 fluffy sock

12 x 0.4 = 4.8

12 + 4.8 = 16.8

She owns 16.8 socs altogether.

Answer:

30 Degrees for sure

Answer:

\(\dfrac{2}{3}x = \$ 2500\)

$3750

Step-by-step explanation:

Given that:

Jay saves \(\frac{2}{3}^{rd}\) of the savings account for his college education.

Money set aside for the college education = $2500

To find:

Total money present in the savings account of Jay = ?

Solution:

Let the total money in the savings account be $\(x\).

As per question statement:

\(\dfrac{2}{3}x = \$ 2500\)

The equation to model the problem is:

\(\dfrac{2}{3}x = \$ 2500\)

Now, let us solve the above equation:

\(\Rightarrow 2x =3\times 2500\\\Rightarrow x = \dfrac{7500}{2}\\\Rightarrow x = \bold{\$ 3750}\)

Total money saved in the savings account is $3750.

Out of the total money $2500 is saved for college education.

Answer:

The answer to this question your asking is b

Answer:

Step-by-step explanation:

area=π r²

=π×15²

=225 π cm²

Answer: 2

Step-by-step explanation:

9 × 2 - 16

18 - 16

2

-3r+8+2r=-1

-3r+2r=-1-8

-3r=-9r=9

Answer:

r=9

Step-by-step explanation:

-3r+8+2r=-1

-3r+2r+8=-1

-r+8=-1

-r+8-8=-1-1

-r=-9

-r/-1=-9/-1

r=9

Answer:

125°

Step-by-step explanation:

Sum of angles of triangle equals 180°:

Answer:

x=125

Step-by-step explanation:

because sum of interior angles of a triangle is 180

The given expression is factored as \(4v^{7} x^{3} (7y^{6} -3v^{2} x^{6} )\)

Given expression: \(28v^{7}x^{3}y^{6}-12v^{9} x^{9}\)

In order to factorize the given expression, take out the common terms and then simplify further.

\(28v^{7}x^{3}y^{6}-12v^{9} x^{9}=4v^{7} x^{3} (7y^{6} -3v^{2} x^{6} )\)

In mathematics, a factor is a divisor of a given integer that divides it exactly, leaving no leftover.

A number can have either positive or negative factors.

A number has a finite number of factors.

A number's factor will never be more than or equal to the provided number.

Every number contains at least two factors, 1 and the actual number, with the exception of 0 and 1.

Finding a number's factors involves using the division and multiplication operations.

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Answer:

P = 0.309

Step-by-step explanation:

Answer:

-> (x,y) => (1,5)

Step-by-step explanation:

Let's solve your system by elimination.

18x−7y=−17;3x−3y=−12

Multiply the second equation by -6, then add the equations together.

(18x−7y=−17)

−6(3x−3y=−12)

Becomes:

18x−7y=−17

−18x+18y=72

Add these equations to eliminate x:

11y=55

Then solve 11y=55for y:

11y=55

11y/11 = 55/11

(Divide both sides by 11)

y=5

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

18x−7y=−17

Substitute5foryin18x−7y=−17:

18x−(7)(5)=−17

18x−35=−17(Simplify both sides of the equation)

18x−35+35=−17+35(Add 35 to both sides)

18x=18

18x/18 = 18/18

(Divide both sides by 18)

x=1

A graph that represents the solution set of the compound inequality is: graph D.

In Mathematics, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:

Next, we would solve the given compound inequality by making x the subject of formula as follows;

x + 3 < 1/2(4x - 12) < 20

Multiplying all through by 2, we have the following:

2x + 6 < 4x - 12 < 40

Next, we would solve the compound inequality in parts:

2x + 6 < 4x - 12

4x - 2x < 12 + 6

2x < 18

x < 18/2

x < 9.

4x - 12 < 40

4x < 40 + 12

4x < 52

x < 52/4

x < 13.

In conclusion, the line on a number line (graph) should be open when the inequality symbol is greater than (>) or less than (<).

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