Question: Calories in Fast-Food Sandwiches Three popular fast-food restaurant franchises specializing in burgers were surveyed to find out the number of ...

Given

Griffin purchased 42 one-ounce Krugerrand Gold Coins.

And, he set a goal of buying 5 Krugerrand Gold coins every year.

To find the recursive formula.

Explanation:

It is given that,

Griffin purchased 42 one-ounce Krugerrand Gold Coins.

And, he set a goal of buying 5 Krugerrand Gold coins every year.

That implies,

The first term is 42.

And, the increase in the sequence is 5.

That is, the common difference d is 5.

Therefore, the recursive formulas are,

The phrases can be represented by the algebraic expression x + 14 are Option 2 (A number plus 14), Option 4 (Fourteen more than a number), and Option 5 (A number increased by 14).

Given that we have to find the phrases represented by algebraic expression

Given expression is:

x + 14

This expression means that "x" is increased by 14 or 14 is added to x

Let us check the options one by one

Option 1:

The quotient of a number and 14

So this expression is wrong, since it involves quotient which is not related to given expression

Option 2

A number plus 14

Writing it mathematically,

number + 14

If the number be "x", then we get x + 14

So this option is correct

Option 3

Fourteen less than a number

Writing it mathematically,

number - 14

If the number be "x", then we get x - 14

So this Option is wrong

Option 4

Fourteen more than a number

Here, "more than" means addition

Writing it mathematically,

14 + number

If the number be "x", then we get 14 + x which is same as x + 14

So this option is correct

Option 5

A number increased by 14

Here, "increased by" means addition

Writing it mathematically,

number + 14

If the number be "x", then we get x + 14

So this option is correct

Thus correct options of the algebraic expression x + 14 are option 2, 4, 5.

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Full Question:

Which phrases can be represented by the algebraic expression x + 14? Select three options.

1. the quotient of a number and 14

2. a number plus 14

3. fourteen less than a number

4. fourteen more than a number

5. a number increased by 14

The phrases can be represented by the algebraic expression x + 14 are Option 2 (A number plus 14), Option 4 (Fourteen more than a number), and Option 5 (A number increased by 14).

Given that we have to find the phrases represented by an algebraic expression

Given expression is:

x + 14

This expression means that "x" is increased by 14 or 14 is added to x

Let us check the options one by one

Option 1:

The quotient of a number and 14

So this expression is wrong since it involves a quotient which is not related to the given expression

Option 2

A number plus 14

Writing it mathematically,

number + 14

If the number be "x", then we get x + 14

So this option is correct

Option 3

Fourteen less than a number

Writing it mathematically,

number - 14

If the number be "x", then we get x - 14

So this option is wrong

Option 4

Fourteen more than a number

Here, "more than" means addition

Writing it mathematically,

14 + number

If the number be "x", then we get 14 + x which is same as x + 14

So this option is correct

Option 5

The number increased by 14

Here, "increased by" means the addition

Writing it mathematically,

number + 14

If the number be "x", then we get x + 14

So this option is correct

Thus correct options of the algebraic expression x + 14 are option 2, 4, 5.

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Full Question:

Which phrases can be represented by the algebraic expression x + 14? Select three options.

1. the quotient of a number and 14

2. a number plus 14

3. fourteen less than a number

4. fourteen more than a number

5. a number increased by 14

The global maximum and minimum values of f(x, y) subject to the constraint x^2 + y^2 = 80 are both approximately 15.314, and they occur at the points (2√5, -4√5) and (-2√5, 4√5), respectively.

To use Lagrange multipliers, we need to define the Lagrangian function as follows:

L(x, y, λ) = f(x, y) - λg(x, y)

where g(x, y) is the constraint function, which in this case is g(x, y) = x^2 + y^2 - 80.

So, we have:

L(x, y, λ) = (x - 1)^2 + (y + 2)^2 - λ(x^2 + y^2 - 80)

Next, we need to find the partial derivatives of L with respect to x, y, and λ, and set them equal to 0:

∂L/∂x = 2(x - 1) - 2λx = 0

∂L/∂y = 2(y + 2) - 2λy = 0

∂L/∂λ = x^2 + y^2 - 80 = 0

Simplifying the first two equations, we get:

x(1 - λ) = 1

y(1 - λ) = -2

Dividing these two equations, we get:

x/y = 1/-2 => x = -y/2

Substituting this into the constraint equation, we get:

(y/2)^2 + y^2 = 80 => 5y^2 = 320 => y = ±4√5

Substituting this back into x = -y/2, we get:

x = ∓2√5

So, the critical points are (2√5, -4√5) and (-2√5, 4√5).

To determine whether these are maximum or minimum values, we need to compute the second partial derivatives of L:

∂^2L/∂x^2 = 2 - 2λ

∂^2L/∂y^2 = 2 - 2λ

∂^2L/∂x∂y = 0

At the critical points, we have λ = 1/5, so:

∂^2L/∂x^2 = -2/5 < 0, so (2√5, -4√5) is a local maximum.

∂^2L/∂y^2 = -2/5 < 0, so (-2√5, 4√5) is a local maximum.

To determine whether these are global maximum or minimum values, we need to compare the values of L at these critical points and at the endpoints of the constraint region:

L(2√5, -4√5) ≈ 15.314

L(-2√5, 4√5) ≈ 15.314

L(4√2, 0) = 18

L(-4√2, 0) = 18

So, the global maximum and minimum values of f(x, y) subject to the constraint x^2 + y^2 = 80 are both approximately 15.314, and they occur at the points (2√5, -4√5) and (-2√5, 4√5), respectively.

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The iterated integral is equal to \(\frac{29296}{63}\)

The iterated integral is: ∫ from x=1 to x=8 ∫ from \(\int\limits \, from y=\sqrt{x} to y=8 (xy)(yx) dy dx\)

We can simplify this expression by reversing the order of integration, which gives:

∫ from y=1 to y=8 ∫ from \(x=y^2 to x=8 (xy)(yx) dx dy\)

Now, we can evaluate the inner integral with respect to x:

∫ from y=1 to y=8 \([(\frac{1}{2} )x^3 y^2]\) evaluated at \(x=y^2\) and x=8 dy

= ∫ from y=1 to y=8 \([(\frac{1}{2} )(8^3 y^2 - y^6)] dy\)

= \([(\frac{4}{7} )y^7 - (\frac{1}{18} )y^9]\) evaluated at y=1 and y=8

= \((\frac{2048}{7} -\frac{2048}{63} ) - (\frac{4}{7} - \frac{1}{8} )\)

= \(\frac{29296}{63}\)

Therefore, the iterated integral is equal to \(\frac{29296}{63}\).

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The monthly salary of an executive is $6483.

What is monthly salary?

A salary is the amount of money that an employee receives from their employer each month, particularly when they work in a profession like education, law, or medical.

Given: An executive in an engineering firm earns a monthly salary plus a Christmas bonus of 5700 dollars. She earns a total of 83500 dollars per year.

To find the salary for each month.

First to subtract the Christmas bonus from the total amount.

83500 - 5700 = 77800.

So, the salary from each month is,  77800/12 = 6483

Therefore, the salary for each month is, $6483.

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Answer:

Step-by-step explanation:

Answer:

C^2 = 95 ft is the length of the hypotenuse.

Step-by-step explanation:

To get the hypotenuse, apply the Pythagorean theorem.

The formula is a^2+b^2=c^2, where a and b are the leg lenths and c is the length of the hypotenuse. This is referred to as the Pythagorean theorem.

We know what a and b are, so lets utilize the Pythagorean theorem

.

a^2 + b^2 = c^2 - This is the Pythagorean theorem formula.

76^2 + 57^2 = C^2 - Fill in the equation with a= 76 and b = 57^2.

5776 + 3249 = c^2

9025 = c^2 -   C^2  is found by adding A^2 and B^2.

square root of c^2 = square root of 9025 - Take the square root of both sides of the equation.

C = 95 ft  - Simplify

C^2 = 95 ft is the length of the hypotenuse. Brainliest? :D

Answer:

\( \huge{ \fbox{ \tt{x = - 2}}}\)

Step-by-step explanation:

\( \underline{ \underline{ \mathfrak{Let's \: solve}}} : \)

\( \star{ \sf{ \: \: 4x - 8 = 7x - 2}}\)

\( \text{Step \: 1} : \sf{Move \: 7x \: to \: left \: hand \: side \: and \: change \: its \: sign}\)

\( \mapsto{ \sf{4x - 7x - 8 = - 2}}\)

\( \text{Step \: 2} : \sf{Move \: 8 \: to \: right \: hand \: side \: and \: change \: its \: sign}\)

\( \mapsto{ \sf{4x - 7x = - 2 + 8}}\)

\( \text{Step \: 3} : \sf{Collect \: like \: terms}\)

\( \sf{Like \: terms \: are \: those \: which \: have \: same \: base}\)

\( \mapsto{ \sf{ - 3x = - 2 + 8}}\)

\( \text{Step \: 4} : \sf{Calculate}\)

\( \underline{ \text{Remember!}} : \sf{The \: negative \: and \: positive \: integers \: are \: always \: subtracted \: but \: posses \: the \: sign \: of \: the \: bigger \: integer.}\)

\( \mapsto{ \sf{ - 3x = 6}}\)

\( \text{Step \: 4} : \sf{Divide \: both \: sides \: by \: - 3}\)

\( \mapsto{ \sf{ \frac{ - 3x}{ - 3} = \frac{6}{ - 3}}} \)

\( \text{ Step \: 4} : \sf{Calculate}\)

\( \mapsto{ \sf{x = - 2}}\)

Hope I helped!

Best regards! :D

~\( \sf{TheAnimeGirl}\)

Answer:

.

Step-by-step explanation:

Compare the number of degree recipients for each major in two years and calculate the maximum absolute difference.

To determine the biggest absolute difference, subtract the number of degree recipients for each major in one year from the corresponding number in the other year.

Take the absolute value of each difference to ensure it is positive. Repeat this process for each major and compare the absolute differences.

Identify the largest absolute difference among the majors, which represents the biggest disparity in the number of degree recipients between the two years.

This analysis helps to identify which major experienced the most significant change in the number of degree recipients over the given time period.

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The statement "P implies Q" is false under the following conditions: a) P is true and Q is false, and d) P is false and Q is true.

The statement "P implies Q" can be expressed as "if P, then Q." It is a conditional statement where P is the antecedent (the condition) and Q is the consequent (the result).

To determine when the statement is false, we need to identify cases where P is true but Q is false, or when P is false but Q is true.

Option a) states that both P and Q are true. In this case, the statement "P implies Q" holds true because if P is true, then Q is true.

Option b) states that both P and Q are false. In this case, the statement "P implies Q" is considered true because the antecedent (P) is false.

Option c) states that P is true and Q is false. Under this condition, the statement "P implies Q" is false because when P is true, but Q is false, the implication does not hold.

Option d) states that P is false and Q is true. In this case, the statement "P implies Q" is true because the antecedent (P) is false.

Therefore, the conditions under which the statement "P implies Q" is false are a) P is true and Q is false, and d) P is false and Q is true.

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Answer:

16

Step-by-step explanation:

Given is a degree in decimals as 55.27 degrees

But normally in degrees, we use for part of degrees minutes and seconds

60 seconds make one minute and 60 minutes make one degree.

Here 55 degrees would be the same

But part degree 0.27 = 27/100

If we want to convert this into minutes multiply by 60

No of minutes =

1/5 minutes = 12 seconds

Hence 55.27 = 55 deg 16 min and 12 seconds

The Missing number in the middle is 16

Answer:

103,725

Step-by-step explanation:

82,980x.25+82,980

Answer:

The answer is x=4 or x=−10

Solutions:

(x + 3)² = 49

(x+3)(x+3)=49

x²+6x+9=49

x²+6x+9-49=0

(x-4)(x+10)

x-4=0 x+10=0

x=4 x=-10

Answer:

For number 2: 8/165

Step-by-step explanation:

The total number of coins = 11 ( 3 + 4 + 4 = 11).

The probability of picking a nickel first = 3/11 ( 4 nickels out of 11 total).

The probability of picking a dime second = 4/10 = 2/5 ( 3 dimes out of 10 coins left).

The probability of picking the third coin as a quarter = 4/9 ( 3 quarters out of 9 coins left).

I don't know the other problem, sorry.

Answer:

2)  8/165

3) 4/15

Step-by-step explanation:

2) P(N,D,Q) = 3/11 x 4/10 x 4/9

3) P(M,D) = 4/10 x 6/9

Answer:

B) 28°

Step-by-step explanation:

By part whole postulate,

m<EFG = m<EFK + m<KFG

plug in values of all angles,

138° = 9x+11+3x-5

12x+6=138

12x=138-6

12x=132

x=132/12

x=11

m<KFG = 3x-5 = 3*11-5 = 33-5 = 28°

Answer:

\(\huge\boxed{x=20}\)

\(\huge\boxed{H = 58, I = 71, J = 51}\)

Step-by-step explanation:

In order to find the measure of our angle, we have to note angle relationships.

All angles in a triangle will add up to 180°

This means all the angles in this triangle will equal 180, or:

\((4x - 9) + (3x - 2) + (3x-9) = 180\)

We can simplify this equation down to find the value of x.

Combine like terms:

\(10x - 20 = 180\)

Add 20 to both sides:

\(10x = 200\)

Divide both sides by 10:

\(x = 20\)

Now that we know the value of x, we can substitute it into the equation for each angle to find it's value.

m∠H:

\(3x-2\\3(20)-2\\60-2\\\\58\)

m∠I

\(4x-9\\4(20)-9\\80-9\\\\71\)

m∠J

\(3x-9\\3(20)-9\\60-9\\\\51\)

To further prove this is right, we would know that all the angles add up to 180°.

\(51+71+58=180\), so we should be right.

Hope this helped!

Answer:

50,000

Step-by-step explanation:

the number 5 is located in the position of tenth thousand

Answer:

Digit 5 = 50,000

Step-by-step explanation:

Value means the same as Total Value (NOT Place value)

Total value of 4,356,869

4 - 4,000,000

3 - 300,000

5 - 50,000

6 - 6,000

8 - 800

6 - 60

9 - 9

Digit 5 = 50,000

Answer:

one obtuse angle is the answer

Step-by-step explanation:

plzzzzzzzzzz mark me brainliest my request to you

The total percent of the markdown is approximately 3%. To find the total percent of the markdown, we need to subtract the discounts from 100% and then multiply them together.

First, let's convert the discounts to decimal form: 55% = 0.55, 35% = 0.35, and 15% = 0.15.

Next, we'll subtract the discounts from 100%:

100% - 55% = 45%
45% - 35% = 10%
10% - 15% = -5%

Oops! We ended up with a negative number, which means we made an error somewhere. Let's go back and check our work.

The mistake was in subtracting 15% from 10%. We should have added it instead:

10% + 15% = 25%

Now we can multiply the discounts together:

0.55 x 0.35 x 0.15 = 0.0289

Finally, we'll convert the decimal to a percentage and round to the nearest percent:

0.0289 x 100% = 2.89%, rounded to 3%.

So the total percent of the markdown is approximately 3%.

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The approximate 95% confidence interval for the proportion of coworkers who have received this year's flu vaccine is (0.339, 0.501). Based on this information, it is true that 95% of the coworkers fall within the interval (0.339, 0.501), and we can be 95% confident that the proportion of coworkers who have received the vaccine is between 33.9% and 50.1%. However, it is false to say that there is a 95% chance that a randomly selected coworker has received the vaccine or that there is a 42% chance for a randomly selected coworker to have received the vaccine.

The approximate 95% confidence interval for the proportion of coworkers who have received this year's flu vaccine is (0.339, 0.501). Based on this information, we can determine which of the following statements are true:

a) 95% of the coworkers fall in the interval (0.339, 0.501).

This statement is true. The 95% confidence interval represents the range of values within which we can be 95% confident that the true proportion of coworkers who have received the flu vaccine lies. Therefore, we can say that 95% of the coworkers fall within the interval (0.339, 0.501).

b) We are 95% confident that the proportion of coworkers who have received this year's flu vaccine is between 33.9% and 50.1%.

This statement is true. The 95% confidence interval (0.339, 0.501) provides us with a range of values within which we can be 95% confident that the true proportion of coworkers who have received the flu vaccine lies. Therefore, we can say that we are 95% confident that the proportion of coworkers who have received the vaccine is between 33.9% and 50.1%.

c) There is a 95% chance that a randomly selected coworker has received the vaccine.

This statement is false. The 95% confidence interval does not represent a probability or chance for an individual coworker. It provides a range of values within which we can be 95% confident that the true proportion of coworkers who have received the flu vaccine lies. It does not give information about the likelihood of an individual coworker receiving the vaccine.

d) There is a 42% chance that a randomly selected coworker has received the vaccine.

This statement is false. The 42% represents the proportion of coworkers in the survey who have received the flu vaccine, but it does not represent the chance or probability for a randomly selected coworker to have received the vaccine. The 42% is a point estimate, not a probability.

e) We are 95% confident that between 33.9% and 50.1% of the samples will have a proportion near 42%.

This statement is false. The confidence interval (0.339, 0.501) does not directly provide information about the proportion of samples that will have a proportion near 42%. The confidence interval represents the range of values within which we can be 95% confident that the true proportion of coworkers who have received the flu vaccine lies, but it does not specifically address the proportion of samples near 42%.

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Answer: 84 mm is MAYBE the answer.

Answer:

32 2/3

Step-by-step explanation:

1 1/2x 2 1/4 =2/3

Then multiply 2/3 times the minutes (49)

You will get 32.6666

Convert that to a fraction or use calculator soup

Therefore the car will travel 32 2/3 miles in 49 minutes

(40 miles in one hour)

Answer:

if i am not mistaken i believe it is 0 √5 - 7x

Step-by-step explanation:

Answer:

it is 15 percent decay

Step-by-step explanation:

The voltage equation, we get:

v(t) = 140/29 + (√29/58)cos(√29t) + (√29/58)sin(√29t) + (3 - y)/29

Given that the differential equation is

d²v/dt² + 29v + y = 3,

and the initial conditions are

v(0) = 5 and dv/dt(0) = 1.

The characteristic equation is

m² + 29 = 0.

So, m₁ = i√29 and m₂ = -i√29.

Thus, the complementary function is vc

f(t) = c₁ cos (√29t) + c₂ sin (√29t)

where c₁ and c₂ are constants.

To determine the particular integral, we first determine the particular integral of y, which is a constant.

Since the right side of the equation is 3, we guess that the particular integral will be of the form y

p(t) = At² + Bt + C.

Substituting this into the differential equation, we get:

d²(At² + Bt + C)/dt² + 29(At² + Bt + C) + y

= 3 2Ad²t/dt² + 29At² + 58Bt + 29 C + y

= 3

Equating coefficients of t², t, and constants gives us:

2A + 29A = 0

⇒ A = 0, and

29C + y = 3

⇒ C = (3 - y)/29

The coefficient of t is 58B, which must equal 0 since there is no t term on the right side of the equation.

Thus, B = 0.

So, yp(t) = (3 - y)/29 is the particular integral of y.

Substituting this into the voltage equation, we get:

v(t) = D + c₁ cos (√29t) + c₂ sin (√29t) + (3 - y)/29

To determine the constants, we use the initial conditions:

v(0) = 5

⇒ D + (3 - y)/29 = 5

⇒ D = 140/29 dv/dt(0) = 1

⇒ -c₁√29 + c₂√29 = 1

From this, we get c₁ = c₂ = √29/58.

Finally, substituting all the values in the voltage equation,

v(t) = 140/29 + (√29/58)cos(√29t) + (√29/58)sin(√29t) + (3 - y)/29

Putting A = 0, B = 0, s3 = √29, and D = 140/29 in the voltage equation, we get:

v(t) = 140/29 + (√29/58)cos(√29t) + (√29/58)sin(√29t) + (3 - y)/29

where A = 0, B = 0, s3 = √29, and D = 140/29.

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Answer:

1000

Step-by-step explanation:

Let the total number of children in school be y.

Then according to the question (4/5) of children are boys.

Then as we know that the sum of fractions is 1.

The fraction of girls in school is

1 - (4/5)= (1/5)

So this means (1/5) of the total children in school are girls which means

Y × (1/5) =200 , according to question.

Which gives y =200×5=100

This means that the total number of children in school is 1000.

Answer:

why does m what????

Step-by-step explanation:

Answer:

  6.0 miles

Step-by-step explanation:

The sequence of distances is a geometric sequence with first term a1 and common ratio (1 +10%) = 1.10. The sum of 7 terms of the sequence is ...

  S7 = a1·(r^7 -1)/(r -1)

  56.923 = a1·(1.1^7 -1)/(1.1 -1)

  5.6923 = a1·0.9487171

Dividing by the coefficient of a1 gives its value:

  5.6923/0.9487171 ≈ 5.999997 ≈ 6.000

The hiker traveled 6.0 miles on the first day.

The hiker traveled 6.0 miles on the first day.

Let, the distance the hiker traveled on the first day is "x" miles.

According to the information given, the hiker planned to increase the distance covered by 10% each day.

This means that on the second day, the hiker would travel 10% more than on the first day, which is 1.1x miles.

Similarly, on the third day, the hiker would travel 10% more than on the second day, which is \((1.1)(1.1)x = (1.1)^{2x\) miles.

This pattern continues for each day.

After 7 days, the total distance traveled is 56.923 miles.

So, we can write the equation:

\(x + 1.1x + (1.1)^{2x} + ... + (1.1)^{6x} = 56.923\)

This is a geometric series where the first term is x, the common ratio is 1.1, and there are 7 terms (since the hiker traveled for 7 days).

Using the formula for the sum of a geometric series:

Sum = (first term) * (1 - (common ratio)^number of terms) / (1 - common ratio)

\(56.923 = x * (1 - (1.1)^7) / (1 - 1.1)\)

Solve for x:

x = 6.0 miles

So, the hiker traveled 6.0 miles on the first day.

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Answer:  Choice B

Step-by-step explanation:

V = 4 pi * r^3 / 3

V = 4 (3.14) * 8^3 / 3

V = 12.56 * 512 / 3

V = 12.56 * 170.66

V = 2,143.57 cm^3

Hope this helped!  Please give brainliest.