When making the first set a bracelet Rachel used 35% of the yarn the length of the yarn
used was 70 feet how much yarn was there to start

Answer:

1/6

Step-by-step explanation:

Answer:

1/4× 2/3= 1/6

Please mark as brainliest!!!

Step-by-step explanation:

sqrt(120) / sqrt(30) = sqrt(120/30) = sqrt(4) = 2

The quotient of √120 divided by √30 is 2.

Square root of a number is the value such that the value when multiplied to itself two times gives the original number.

It is denoted by the symbol √.

For example, square root of 16 is 4 since 4 × 4 = 16

The given numbers are √120 and √30.

We have to find the quotient when √120 is divided by √30.

Try to write each of the number as a product of perfect squares if possible.

√120 = √(4 × 30)

We know that √(ab) = √a √b

So, √120 = √4 × √30 = 2√30      (∵√4 =2)

√120 /√30 = 2√30 / √30 = 2    

Hence the required quotient is 2.

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The probability of observing such an extreme result by chance alone is 0.0124.

To find the P-value for a two-tailed test of hypothesis, we need to first determine the significance level (alpha) of the test. Let's assume a significance level of 0.05, which is a common choice.

Since this is a two-tailed test, we need to find the probability of observing a test statistic as extreme or more extreme than 2.5 in either direction. We can find this probability using a standard normal distribution table or a calculator.

Using a standard normal distribution table, we can find that the probability of observing a z-score of 2.5 or greater is 0.0062. The probability of observing a z-score of -2.5 or smaller is also 0.0062. Therefore, the P-value for the two-tailed test of hypothesis is:

P-value = 2 * 0.0062

P-value = 0.0124

This means that if the true proportion of business students who have personal computers at home differs from 30%, with a significance level of 0.05, and we obtain a test statistic of 2.5, then the probability of observing such an extreme result by chance alone is 0.0124.

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Answer:

1.94%

Explanation:

From the given information:

• The average number of teaspoons of sugar consumed each day = 22.7

• Standard deviation = 4.5

We want to find the percentage of people who consume more than 32 teaspoons of sugar a day.

In order to do this, first, we find the z-value at X=32 using the z-score formula.

Next, from the z-score table:

Approximately 1.94% of people consume more than 32 teaspoons of sugar a day.

Using proportional reasoning, we can predict that there will be 40 red candies in the large bag.

Using proportional reasoning, we can set up and solve the following equation to determine the number of red candies in the large bag:

P = Proportion of red candies in the large bag

R = Red candies in the small bag

R × (33/9) = P

12 × (33/9) = P

P = 40 red candies in the large bag

Therefore, using proportional reasoning, we can predict that there will be 40 red candies in the large bag.

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As a result, the following parametric equations describe the motion of the heat-seeking particle: x = a - 2t and y = b - 4t

As per the question given,

To find the path of a heat-seeking particle placed at point P on a metal plate with a temperature field T(x,y) = 100 - x^(2) - 2y^(2), we need to use the gradient vector of T(x,y).

The gradient of T(x,y) is given by:

∇T(x,y) = (-2x, -4y)

The heat-seeking particle moves in the direction of maximum increase of temperature, so it moves in the direction of the gradient vector, that is, (-2x, -4y).

To find the path of the particle, we need to integrate the gradient vector starting at point P = (a,b), where a and b are the coordinates of the point on the metal plate where the particle is placed.

So the path of the heat-seeking particle is given by the following parametric equations:

x = a - 2t

y = b - 4t

where t is the parameter that represents time.

These equations represent a straight line in the direction of the gradient vector of T(x,y). The particle moves from point P in the direction of the gradient vector, with a speed proportional to the magnitude of the gradient vector.

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Answer:

C (x+2)(2x+3)

Step-by-step explanation:

You can count in the picture that in the top part there are two x's (2x) and three ones (3). So the top would be (2x+3)

On the left side there is one x (x) and two ones (2). It would be (x+2).

So combine them together, it would be (x+2)(2x+3).

C.

Answer:

answer is (2x+3)(x+2)

I hope this will help you

5a) The total cost of buying the car, priced at $32,000 with the harmonized sales tax (HST) of 13%, is $36,160.

5b) Through the lease, the customer saves $14,760.

5c) The lease options for the lessee after returning the car include:

6a) The after-tax cost of the Honda Civic is $32,199.35.

6b) The value of the vehicle that needs to be financed is $26,199.35.

6c) The monthly payment will be $567.26 for 4 years.

6d) After four years, the total amount paid for the vehicle is $33,228.48.

A lease is a financing option for the use of capital assets by which the lessee utilizes an asset for a stated period while making periodic payments to the lessor.

A car purchase can also be financed through loans, like home mortgages.

Value of the car = $32,000

Harmonized Sales Tax (HST) = 13%

Cost of the car with HST = $36,160 ($32,000 x 1.13)

Down payment = $1,000

Financing part = $35,160 ($36,160 - $1,000)

Installment payments = 48

Periodic payments = $425

Total lease cost = $21,400 ($1,000 + 48 x $425)

Savings (advantages) from leasing = $14,760 ($36,160 - $21,400)

The value of the Honda Civic = $28,495

Harmonized Sales Tax (HST) = 13%

After-tax cost = $32,199.35 ($28,495 x 1.13)

Annual interest rate = 1.9% compounded monthly

Down payment = $6,000

Financing part = $26,199.35 ($32,199.35 -$6,000)

Financing period = 4 years

N (# of periods) = 48 months (4 years x 12)

I/Y (Interest per year) = 1.9%

PV (Present Value) = $26,199.35

FV (Future Value) = $0

P/Y (# of periods per year) = 12

C/Y (# of times interest compound per year) = 12

Results:

Monthly Payments (PMT) = $567.26

Sum of all periodic payments = $27,228.48

Total Interest $1,029.13

Total amount paid over 4 years = $33,228.48 ($27,228.48 + $6,000)

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Answer:

The element 15 has two arrows pointing to both 7 and 9. This is a clear violation of the requirement to be a function. A function is well behaved, that is, each element in the domain must point to one element in the range. Therefore, this relation is not a function.

Step-by-step explanation:

Btw brainliest me plss

Answer:

  $3.50

Step-by-step explanation:

You want the change received from a $50 bill after the purchase of 3 shirts for $7.25 each, 1 dress for $12.00, and 1 tote bag for $9.50, with $3.25 added sales tax.

The subtotal of items purchased is ...

  3 × $7.25 + 1 × 12.00 + 1 × 9.50 = $43.25

The total amount of the purchase, after tax is added is ...

  items + tax = $43.25 +3.25 = $46.50

The change received from $50 tendered is ...

  $50.00 -46.50 = $3.50

Winnie should receive $3.50 in change.

Answer:it’s the same distance traveled each way

Step-by-step explanation:

U go 5 steps to 5 and you go 5 steps to -5. Since it doesn’t ask HOW you r walking and only about the distance then they r both the dame

Answer:

Inverse of  \(- 5 x - 4 =\) \(\frac{x + 4}{5}\)

Step-by-step explanation:

Let y = -5x-4

Swap y and x

x = -5y -4

Solve for y

x+4 = -5y

\(y=- \frac{x + 4}{5}\)  which is the inverse

Using basic inference rules, we can establish the validity of the argument: p ⟹ ¬q, q V r, p V u, ¬r ├ u.

1. We are given the following premises:

  - p ⟹ ¬q (Premise 1)

  - q V r (Premise 2)

  - p V u (Premise 3)

  - ¬r (Premise 4)

2. To prove the conclusion, u, we need to use the premises and apply inference rules.

3. From Premise 4 (¬r) and the Disjunctive Syllogism rule, we can deduce ¬q: (¬r, q V r) ⟹ ¬q.

4. From Premise 1 (p ⟹ ¬q) and Modus Ponens, we can conclude ¬p: (p ⟹ ¬q, ¬q) ⟹ ¬p.

5. From Premise 3 (p V u) and Disjunctive Syllogism, we obtain ¬p V u.

6. Using Disjunctive Syllogism with ¬p V u and ¬p, we can derive u: (¬p V u, ¬p) ⟹ u.

7. From Premise 2 (q V r) and Disjunctive Syllogism, we have q.

8. Finally, using Modus Tollens with q and ¬q, we can deduce ¬p: (q, p ⟹ ¬q) ⟹ ¬p.

9. Therefore, combining ¬p and u, we can conclude the desired result: ¬p ∧ u.

10. Since ¬p ∧ u is logically equivalent to u, we have established the validity of the argument: p ⟹ ¬q, q V r, p V u, ¬r ├ u.

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the value of k for the given right-angle triangles is 5.

A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.

Given, Two right-angle triangles one of them has a height of 7 cm and a weight of 1 cm. While others have a height and base of the same measurement k.

The Hypotaneuse of the triangles is equal and the same.

From the general formula of the Pythagorean theorem

Hypotaneuse²  = height + bsase²

in a triangle with a height of 7

Hypotaneuse² = 7² + 1²

Hypotaneuse² = 49 + 1

Hypotaneuse² = 50...(1)

In a triangle with a height of k

Hypotaneuse² = k² + k²

Hypotaneuse² = 2k²....(2)

Since Hypotaneuse is the same

From comparing both equations

50 = 2k²

k² = 25

k = 5

therefore, the value of k for the given right-angle triangles is 5.

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Answer:

b is ur answer

Step-by-step explanation

hope this helps :)

Answer: \(9.38\times10^{33}\)

Step-by-step explanation:

Given: Molecules in a liter of water = \(3.35\cdot10^{25}\)

A certain river discharges about \(2.8\cdot10^8\) liter of water every second.

Molecules in river = \(3.35\cdot10^{25}\times2.8\cdot10^8\)

\(=3.35\cdot2.8\cdot10^{25}\cdot10^8\\\\= 9.38\times10^{25+8}\ \ \ \ [a^m\cdot a^n=a^{m+n}]\\\\= 9.38\times10^{33}\)

Hence, there are \(9.38\times10^{33}\) does the molecules in river per second.

Using simultaneous equations, during the dinner to raise money for a children's museum, 90 tickets were sold.

Simultaneous equations are two or more equations solved concurrently or at the same time.

Simultaneous equations are also called a system of equations.

The cost of one-person ticket = $200

The cost of two-people ticket = $350

The total number of attendees at the dinner = 130

The total ticket sales = $24,000

Let number of one-person ticket = x

Let number of two-people ticket = 2y

x + 2y = 130... Equation 1

200x + 250y = 24000... Equation 2

Multiply Equation 1 by 200:

200x + 400y = 26000... Equation 3

Subtract Equation 2 from Equation 3:

200x + 400y = 26000

-

200x + 350y = 24000

50y = 2000

y = 40

x = 130 - 2y

=  130 - 80

= 50

Thus, the number of tickets sold at the dinner was 90.

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a) No, it is not possible. A Type I error is rejecting the null hypothesis when it is in fact true.

b)Yes, it is possible. A Type II error is not rejecting the null hypothesis when it is in fact false.

A false positive conclusion in statistics is known as a Type I error, and a false negative conclusion is known as a Type II error.

The significance level, or alpha, determines the likelihood of a Type I error, whereas beta determines the likelihood of a Type II error. These dangers can be reduced by carefully designing the layout of your study.

If your results show statistical significance, that means they are very unlikely to occur if the null hypothesis is true. In this case, you would reject your null hypothesis. But sometimes, this may actually be a Type I error.

If your findings do not show statistical significance, they have a high chance of occurring if the null hypothesis is true. Therefore, you fail to reject your null hypothesis. But sometimes, this may be a Type II error.

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f(x) = x^3 - 6x^2 + 12x the function is increasing for x < -2, increasing for x > 4 and decreasing for -2 < x < 4. The critical value that will give you a relative maximum is x = 4. The critical value that will give you a relative minimum is x = -2.

The derivative of the given function is f'(x) = 3x^2 - 12x + 12. Setting this equal to 0 gives us x = 0 and x = 4. By the first derivative test, we can determine that the function is increasing for x < -2, increasing for x > 4 and decreasing for -2 < x < 4. Therefore, the critical value that will give us a relative maximum is x = 4 and the critical value that will give us a relative minimum is x = -2. This can be verified by finding the second derivative of the function, which is f''(x) = 6x -12. Setting this equal to 0 gives us x = 2, which is between the two critical values. Since the second derivative is negative for x < 2, the critical value at x = -2 will give us a relative minimum and since it is positive for x > 2, the critical value at x = 4 will give us a relative maximum.

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Answer:

\( \large{ \tt{☄ \: STEP- BY - STEP \: EXPLANATION}} : \)

\( \large{ \bf{❃ \: (6x - 28) \degree = (4x + 20) \degree}}\)

\( \large{ \bf{↬6x - 28 \degree = 4x + 20 \degree}}\)

\( \large{ \bf{↬ \: 6x - 4x = 20 \degree + 28 \degree}}\)

\( \large{ \bf{↬2x = 48 \degree}}\)

\( \large{ \bf{↬x = \frac{48 \degree}{2}}} \)

\( \large{ \bf{↬ \boxed{ \bf{x = 24 \degree}}}}\)

\( \large{ \bf{⇢m \: RS = (6x - 28) \degree = (6 \times 24 - 28) \degree = \boxed{ \bf{116 \degree}}}}\)

\( \large{\boxed{ \boxed{ \tt{⟿ \: OUR \: FINAL \: ANSWER : \boxed{ \underline{ \bf{116 \degree}}}}}}}\)

\( \large{ \tt{✺ \: STUDY \: TIP}} : \)

ツ Hope I helped! ۵

☼ Have a wonderful day / evening ! ☃

# StayInAndExplore ! ☂

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Recall that the x% in fraction form is:

Therefore 0.0032% as a fraction is:

Simplifying the above result we get:

Answer:

Answer:

-116/37

Step-by-step explanation:

Answer:

z = -3.1

Step-by-step explanation:

just divide both sides by -3.7, you get z = -3.135

Answer:

a) the sides lengths are proportional

b) 6

c) 2/4 = .5  3/6 = .5

D) 1/2  Change in y over change in x.

Step-by-step explanation:

Answer: $2

Step-by-step explanation:

Answer:

The perimeter is = 3 + 2 + 1 + 1 + 1 + 2 + 2 = 14

hence, The perimeter is 14.

In the  word problem above, 0 small pizzas, 1 medium pizza, and 5 large pizzas were delivered to the college.

Let  S = number of small pizzas delivered

Let M = number of medium pizzas delivered

Let L = number of large pizzas delivered

We'll start by solving equation 1 for one variable and substituting it into the other equations.

S + M + L = 12

We can rewrite this equation as -

S = 12 - M - L

Now, substitute this value of S in equations 2 and 3 -

4S + 10M + 15L = 109

4(12 - M - L) + 10M + 15L = 109

48 - 4M - 4L + 10M + 15L = 109

6M + 11L = 61

2S + 4M + 13L = 81

2(12 - M - L) + 4M + 13L = 81

24 - 2M - 2L + 4M + 13L = 81

2M + 11L = 57

Now we have a system of two equations with two variables -

6M + 11L = 61 ...(4)

2M + 11L = 57 ...(5)

Subtract  equation   (5)from equation (4) -

(6M +   11L) - (2M +11L) = 61 - 57

4M = 4

M = 1

Substitute the value of M into equation (5) -

2(1) + 11L = 57

2 + 11L = 57

11L = 55

L = 5

Now substitute the values of M and L into equation (1) -

S + 1 + 5 = 12

S + 6 = 12

S = 6 - 6

S = 0

Therefore, the solution is -

S = 0 (no small pizzas)

M = 1 (1 medium pizza)

L = 5 (5 large pizzas)

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Full Question:

Although part of your question is missing, you might be referring to this full question:

a pizza shop delivered 12 pepperoni pizzas to a college on the first night of final exams. the total cost of the pizzas was $109. a small pizza costs $4 and contains 2 ounces of pepperoni. a medium pizza costs $10 and contains 4 ounces of pepperoni. a large pizza cost $15 and contains 13 ounces of pepperoni. the owner of the pizza shop used 5 pounds 1 ounces of pepperoni in making the 12 pizzas. how many pizzas of each size were delivered to the college?

The composite function f·g(x) is 4x⁴+24x³.

The given functions are f(x)=x²+6x and g(x)=4x².

We need to find f·g(x).

We know that, f·g(x)=f(x)×g(x)

Here, f·g(x)=(x²+6x)×4x²

= x²×4x²+6x×4x²

= 4x⁴+24x³

Therefore, the composite function f·g(x) is 4x⁴+24x³.

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Answer:

3/5

Step-by-step explanation:

3/5=6/10

3/5=60/100

Answer:

a.  FALSE

b.  FALSE

c.  FALSE

d.  TRUE

Step-by-step explanation:

Statement a.

2 (3 - 4 y) = 6 - 4 y

use distributive property on the left:

6 - 8 y    which is NOT 6 - 4 y  then, FALSE statement

Statement b.

3 + 5 (9 + 2 n) = 48 + 5 n

apply distributive property on the left:

3 + 45 + 10 n = 48 + 10 n  which is NOT 48 + 5 n  then , FALSE statement

Statement c.

9 - 3 (y - 2) = 3 - 3 y

apply distributive property on the left:

9 - 3 y + 6 = 15 - 3 y   which is NOT 3 - 3 y  then, FALSE statement

Statement d.

3 (6 x - 2) - 7 = 18 x - 13

apply distributive property on the left:

18 x - 6 - 7 = 18 x - 13  which IS the same as 18 x - 13  then , TRUE statement

Using sampling concepts, it is found that the matches of the strategies to their corresponding sampling techniques are given by:

Samples are classified as:

Item a:

Population divided into equally-sized groups(by distributors), and the same number from each is taken, hence stratified sampling is used, and the matching is a - 3.

Item b:

Every kth piece, hence systematic sampling is used, and the matching is b - 5.

Item c:

150 phones are chosen randomly, hence random sampling and the matching is c - 1.

Item d:

Asks friends, so by convenience sampling, hence the matching is d - 4.

Item e:

Divided into groups(by communities), all elements are surveyed, hence cluster sampling and the matching is e - 2.

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