Express $\sqrt{x} \div\sqrt{y}$ as a common fraction, given: $\frac{ {\left( \frac{1}{2} \right)}^2 + {\left( \frac{1}{3} \right)}^2 }{ {\left( \frac{1}{4} \right)}^2 + {\left( \frac{1}{5} \right)}^2} = \frac{13x}{41y} $

Answer:

x^2 - 10 = (p - 9)(x)

Step-by-step explanation:

Please indicate exponentiation with the symbol " ^ ":  p(x) = x^2 - 1.

To obtain (p - 9), start with p(x) = x^2 - 1 and subtract 9:

(p - 9)(x) = x^2 - 1 - 9 = x^2 - 10 = (p - 9)(x)

Answer:

Box 1=5 Box2=6 Box3=8 Box4=200

Step-by-step explanation:

Answer:

Step-by-step explanation:

No.of balloons each will get = 5

no.of greeting cards = 6

no.of apples in each basket = 8

no. of words = 200words

hope it helps

Answer:

B.

Step-by-step explanation:

Since the variable b is manipulated in f(x) = a(bx - h)² + k, we are dealing with horizontal compression and stretching. Since b < 1, that means the graph is being horizontally compressed.

Answer:

The frequency is 3 more than expected

Step-by-step explanation:

There are 3 favourable outcomes: {2, 4, 6}

There are 6 possible outcomes: {1, 2, 3, 4, 5, 6}

probability of the number cube landing on an even number = favourable outcomes / possible outcomes = 3/6 = 1/2

If the cube is rolled 30 times, it is expected that in 1/2*30 = 15 times landed on an even number. The frequency: 18 is 3 more than expected

Answer:

Option B.

Step-by-step explanation:

The given expression is

[tex]\dfrac{x^2+y^3}{2+x}[/tex]

We need to find the value of given expression when x=6 and y=2.

Substitute x=6 and y=2 in the given expression.

[tex]\dfrac{x^2+y^3}{2+x}=\dfrac{(6)^2+(2)^3}{2+(6)}[/tex]

                   [tex]=\dfrac{36+8}{8}[/tex]

                   [tex]=\dfrac{44}{8}[/tex]

                   [tex]=5.5[/tex]

The value of given expression is 5.5 when x=6 and y=2.

Therefore, the correct option is B.

Answer:

he given expression is

We need to find the value of given expression when x=6 and y=2.

Substitute x=6 and y=2 in the given expression.

The value of given expression is 5.5 when x=6 and y=2.

Therefore, the correct option is B.

Step-by-step explanation:

Answer:

option c boo if it's for plata

Answer:

AD= 5.82 units (3 s.f.)

Step-by-step explanation:

Please see attached picture for full solution.

*skipped these steps in the beginning:

∠ABC +∠ABD= 180° (adj. ∠s on a str. line)

90° +∠ABD= 180°

Answer:

A. 4 yards = 12 ft

9 ft : 12 ft = 3:4

B. 5 gallons = 20 quarts

20 quarts : 8 quarts = 5:2

C. 2 meters = 200 cm

800 cm : 200 cm = 4:1

Answers:

A) 3:4

B) 5:2

C) 4:1

Step-by-step explanation:

Convert 4 yards to feet.

1 yard = 3 feet

4 yards = 12 feet

9 feet : 12 feet

Simplify the ratio.

9/3 : 12/3

3 feet : 4 feet

3 : 4

Convert 8 quarts to gallons.

1 quart = 0.25 gallons

8 quarts = 2 gallons

5 gallons : 2 gallons

5 : 2

Convert 2 meters into centimeters.

1 meter = 100 centimeters

2 meters = 200 centimeters

800 centimeters : 200 centimeters

Simplify the ratio.

4 : 1

answer

2.5 x-0.6=4.9

Step-by-step explanation:

The height of a window is 0.6 feet less than 2.5 times its width.

If the height of the window is 4.9 feet.

Substitute in [1] we have;

2.5x-0.6 = 4.9

Therefore,  an equation can be used to determine x, the width of the window is, 2.5x-0.6 = 4.9

Answer:

Or B

Step-by-step explanation:

for those you look for letters only

Answer:

4928 rounded to the nearest hundred is:

4900

Step-by-step explanation:

Hope this hepls you!!

The number 4,928 will be rounded to the nearest hundred is 4900.

When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done. The crucial figures are preserved when numbers are rounded off.

Given to round off 4928 to the nearest 100

steps to round off,

Determine the two consecutive multiples of 100 that bracket 4928

4928 is between 4900 and 5000

4950 is the midpoint between 4900 and 5000

from the number line, 4928 is less than the midpoint 4950,

Therefore, 4928 rounded to the nearest 100 is 4900.

Hence the digit is 4900.

Learn more about rounding off numbers;

brainly.com/question/13391706

#SPJ2

Answer:

It is A $288,000

Step-by-step explanation:

Answer:

  A.  $22,032

Step-by-step explanation:

FICA includes both social security tax (6.2%) and Medicare tax (1.45%), for a total tax rate of 7.65%.

  0.0765 × $288,000 = $22,032 . . . FICA tax

[tex](x {}^{2} - x + 8) + (10x {}^{2} + 7)[/tex]

[tex]10x {}^{4} - 10x {}^{3} + 87x {}^{2 } - 7x + 56[/tex]

Rounded it is 11.7 cubic cm.

Answer:

Step-by-step explanation:

Answer: A.) 2 <= X <= 6

B.) 13 < = X < = 39

Step-by-step explanation:

Given that a factory can work its employees no more than 6 days a week, that is, less than or equal to 6 days a week

And also, no less than 2 days per week. That is, greater than or equal to 2 day a week.

Let X represent the number of days an employee can work per week.

According to the first statement,

X < = 6

According to the second statement,

X >= 2

An inequality to represent the range of days an employee can work will be

2 < = X <= 6

To represent the range in hours, first convert the number of days to hour. Given that an employee can work

1 day = 6.5 hours

2 days = 2 × 6.5 = 13 hours

5 days = 6 × 6.5 = 39 hours

Therefore, the range will be

13 < = X < = 39

Answer:

3x+5y=1025

x+y=275

Step-by-step explanation:

We can use system of equations to solve this problem. Let's use x for student tickets and y for adult tickets.

Equation 1

3x+5y=1025

This equation comes from the cost of tickets. Each child ticket costs $3 and each adult ticket costs $5. The total value of tickets sold is $1025.

Equation 2

x+y=275

The total amount of tickets sold was 275.

Hey there! :)

Answer:

a) Blue.

b) 1/2.

Step-by-step explanation:

Find the probabilities for each color:

Blue: 1/8

Yellow: 3/8

Green: 4/8 or 1/2

a) The color that the spinner is the least likely to land on has the smallest probability, which in this instance, is blue.

b) The probability of the spinner landing on green can be determined by:

# of green sections /total

Therefore:

4 / 8

Simplify the fraction:

4 / 8  = 1 / 2.

Answer:

a) Blue

b) 1/2

Step-by-step explanation:

a) The colors on the spinner are blue (B), green (G), and yellow (Y).

(B) = 1/8

(G) = 4/8

(Y) = 3/8

The spinner is least likely to land on the color blue.

b) The probability that the spinner lands on the color green is 4/8. The spinner has 8 equal sections, 4 of the sections are green.

4/8 can be simplified to 1/2.

Answer:

B-29...b-29...b-29...B-29... B-29

Answer:

x≥-4

Step-by-step explanation:

-8x≤36-4

-8x≤32

x≥32/-8 when divide by minus you flip  from≤ to ≥

x≥-4

Answer:

x ≥-4

Step-by-step explanation:

-8x+4 ≤ 36

Subtract 4 from each side

-8x+4-4 ≤ 36-4

-8x ≤ 32

Divide by -8 remembering to flip the inequality

-8x/-8 ≥ 32/-8

x ≥-4

Answer:

c. We use tan∅ to solve

d. x ≈ 45.64 ft

Step-by-step explanation:

Step 1: Draw out the picture

When we do so, we should be able to see that we are solving for the horizontal leg.

Step 2: Find the trig

tan78° = 214.7/x

xtan78° = 214.7

x = 214.7/tan78°

x = 45.6359

Answer:

f(x) = (x - (-5))^2 + (-18)

Step-by-step explanation:

Given:

f(x) = x^2 + 10x + 7

Rewrite f(x) in vertex form

Solution:

f(x) = ax^2 + bx + c is a quadratic function.

The vertex form of f(x) is a(x - h)^2 + k, where (h, k) is the vertex.

=> f(x) = x^2 + 10x + 7

          = x^2 + 10x + 25 - 18

          = (x + 5)^ - 18

          = (x - (-5))^2 + (-18)

=> f(x) can be rewritten in form of a(x - h)^2 + k, where (h, k) is the vertex, with a = 1, h = -5, k = -18

Answer:

x  ≥ 17,500

Step-by-step explanation:

To solve this problem, we will follow the  steps below:

let x be the cost of the next year's model

Writing the question in a mathematical format yield

$14,000 ≤ 80% of  x

This implies ;

80% of  x   ≥$14,000

80% ×   x  ≥$14,000

[tex]\frac{80X}{100}[/tex]   ≥  $14,000

multiply both-side of the inequality by 100

[tex]\frac{80X}{100}[/tex]  × 100 ≥  $14,000  × 100

at the left hand-side of the inequality 100 will cancel-out 100 leaving us with just 80x

80x  ≥  $1,400,000

Divide both-side of the equation by  80

80x /80 ≥  $1,400,000/80

x  ≥ 17,500

Answer:

y = 4 [tex](\frac{1}{2}) ^{x}[/tex]

Step-by-step explanation:

For an exponential function in the form

y = a [tex]b^{x}[/tex]

Use ordered pairs from the table to find values of a and b

Using (0, 4 ), then

4 = a [tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ), thus

a = 4, so

y = 4 [tex]b^{x}[/tex]

Using (1, 2 ) , then

2 = 4 [tex]b^{1}[/tex] = 4b ( divide both sides by 4 )

b = [tex]\frac{1}{2}[/tex]

Thus exponential function is

y = 4 [tex](\frac{1}{2}) ^{x}[/tex]

Answer:

y = 4 (\frac{1}{2}) ^{x}

£99. semoga membantu maksih

Answer:

The answer is 99 dollars

Step-by-step explanation:

Not showing workout...

Just showing how

1) Multiply 1.1452 * 270

2) Multiply 0.89 * 270

3) Subtract the second step from the first step

Hope this helps....

Answer:

43

Step-by-step explanation:

Answer:

Hey there!

Let's pretend that there are only 9 people in that class. Thus, if 2/9 were women, then 2 people would be women.

Thus, 7 people would be men.

The ratio of men to women would be 7:2.

Hope this helps :)

Answer:

2 1/4

Step-by-step explanation:

13/4 is 3 1/4 because 13 divided by 4 is 3 with a remainder of 1. So from there you subtract 1 from the whole number 3 and are left with 2 1/4. I hope that makes sense! :)

Answer:

2 1/4

Step-by-step explanation:

13/4 = 3 1/4

1 = 1

3 - 1 = 2 1/4

Answer:

E.

Step-by-step explanation:

so first you would add 8 to both sides to get

3w = t + 8

then divide both sides by 3

w = (t + 8) / 3

So the answer is E.

Answer: E) w = (t+8)/3

Step-by-step explanation:

Solve for w in terms of t means you have to isolate w.  Thus, simply do the following:

[tex]3w-8=t\\3w=t+8\\w=\frac{t+8}{3}[/tex]

Hope it helps <3

Answer:

24

Step-by-step explanation:

divide 65/8 and then multiply that by 3 and round to the nearest whole number

Answer:

1) 600-t

2) 600-t=65

=>t=535