which statment correctly compares the function shown on this graph with the functon y=5x + 5

Answer:

x=145 at 8 minutes

im not sure what tt means but please read my note at the end.

Step-by-step explanation:

if the initial temp is 65 and it increases at a rate of 10 per min the use

65+10(x)

let x be the number of minutes

65+10(8)

65 +80= 145

after 8 minutes the oven will be at 15 degrees. im not sure what tt is suppose to mean, but to find any other solution just plug it into x multiply x by 10 and add it to 65

Answer:

Step-by-step explanation:

We have that

A = 51°, b = 14, c = 6

step 1

find the value of a

Applying the law of cosines

a²=c²+b²-2*c*b*cos A

a²=6²+14²-2*6*14*cos 51-------> 126.27

a=11.2

we know that

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

we have

a=11.2

b=14

c=6

so

(a+b) > c-------------> (11.2+14)=25.2

25.2 > 6-----> is not correct

therefore

the answer is the option

a. No triangles possible

I don't know if i am right sorry if this is wrong

=> n-4<5

=> n-4+4<5+4

=> n<9

Answer:

Replace all occurrences of y with −5x+32 in each equation.

28x−160=22

y=−5x+32

Solve for x in the first equation.

x=13/2

y=−5x+32

Replace all occurrences of x with 13/2 in each equation.

y=−1/2

x=13/2

The solution to the system is the complete set of ordered pairs that are valid solutions. ( 13/2, −1/2 )

The result can be shown in multiple forms. Point Form: (13/2,−1/2)

Equation Form:

x=13/2, y=−1/2

Step-by-step explanation:

The value of x in the solution to given system of equations is 13/2

Here,

Given system of equations are;

3x - 5y = 22 -----(i)

y = -5x + 32 -----(ii)

What is system of equations?

A system of equations is a set of two or more equations with the same variables.

Now, in given system of equations put the value from (ii) in (i), we get

⇒ 3x - 5 (-5x + 32) = 22

⇒3x + 25x - 160 = 22

⇒28 x = 182

⇒ x = 182/28

⇒ x = 13/2

Hence, The value of x in the solution to given system of equations is 13/2.

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Answer:

90ft

Step-by-step explanation:

43,560ft² = L × l

43,560ft² = 484ft × l

43,560ft² ÷ 484ft = l

l = 90ft

The second number (110) is 10% greater than the first number (100). This means that the second number is 10% more than the first number in terms of relative increase.

To calculate the percentage by which the second number is greater than the first, we use the formula for percentage increase:

Percentage Increase = ((Second Number - First Number) / First Number) * 100.

In this case, the first number is 100 and the second number is 110.

Using the formula, we can calculate the percentage increase as follows:

Percentage Increase = ((110 - 100) / 100) * 100

= (10 / 100) * 100

= 0.1 * 100

= 10.

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Answer:

A)21

B) 70

C)89

Step-by-step explanation:

Answer:

Step-by-step explanation:

b=180° - 110° =70°

a = 21°

C= 180° - b - a= 180 - 70 - 21= 89°

\(good \: luck\)

Answer:

B

Step-by-step explanation:

To go from B' to B , perform the inverse operation

That is the translation rule is (x - 4, y - 5 ) , then

B'(7, - 4 ) → B (7 - 4, - 4 - 5 ) → B (3, - 9 ) → option B

Answer:

28>x

Step-by-step explanation:

7>x/4

remove the denominator by multiplying both sides by 4

4×7>x/4×4

28>x

The required rate of return is 9.375%.

The value of the perpetuity can be found by dividing the annual cash flow by the discount rate.

The discount rate is the rate at which future cash flows are discounted to find their present value.

We need to calculate the present value of the perpetual cash flow stream. The formula for the present value of a perpetuity is:

PV of a perpetuity = C / r

Where, PV = present value C = annual cash flow r = discount rate PV of the perpetuity

= $12,000/0.05= $240,000

Therefore, the value of this perpetuity today with 5% of annual interest rate is $240,000.

If you are willing to pay $32,000 today to receive $3000 per year forever, then your required rate of return must be 9.375%.

The formula for the required rate of return of a perpetuity is: r = C / PV Putting the values, r = $3000 / $32,000 = 0.09375 or 9.375%

Therefore, the required rate of return is 9.375%.

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The rational numbers - 1 3/4 (-2 1/7) are multiplied to give 105/28

A fraction can be defined as the part of a whole element.

There are several types of fractions, which includes;

Rational numbers are defined as types of real numbers that are in form of fractions.

For instance: a/b where a is not equal to zero.

Given the rational numbers;

- 1 3/4 (-2 1/7)

To determine the product, take the following steps

Turn into improper fractions

-7/4 × -15/ 7

Now, multiply the numerators and denominators

105/28

Hence, the value is 105/28

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Answer:

x=3.89

Step-by-step explanation:

I'll go in depth for you.

Before we figure out what we do, let understand what we know about this triangle.

Notice how line EG and HF intersect at Angle Z. We know that if two lines intersect at an angle, it form angles called vertical angles. This means that the two angles that are vertical to each other are congruent.

This means that angle Z in both triangles both measure the same.

Now since both triangles have 2 congruent corresponding angles, we can say that the Triangles are Similar due to the Angle-Angle Postulate.

"If two corresponding angles of two triangles are congruent, then the two triangles are similar."

What is mean when Triangles are similar?

It means that the similar triangles corresponding angles are equal and their sides are in proportion.

The corresponding sides are

EH and GF

EZ and ZG

HZ and HF.

Our proportion formula for similar triangles is

Any two sides of the first triangle divided by each other must equal the two corresponding sides of the second triangles divided by each other respectively.

We know FG and ZG so let set up our first fraction

\( \frac{fg}{zg} \)

The corresponding sides of both are

Answer:

the ratios 8/11 and 24/33 are proportional.

Step-by-step explanation:

There were 4 parents in the group attending a concert.

The number of adults = total amount paid for the ticket ÷ cost of each ticket

The number of adults = 1200 ÷ 60

Performing division

The number of adults = 20

Let the number of parents be x. So, the number of teachers will be (20 - x). But, number of teachers is (x + 4). So, relating the two -

20 - x = x + 4

Rewriting the equation

x + x = 20 - 4

Performing addition on LHS and subtraction in RHS

2x = 16

Performing division

x = 8

There were 8 parents in the group.

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ARCH (Autoregressive Conditional Heteroscedasticity) models are estimated using Maximum Likelihood (ML) estimation. Regarding Question 7, if the model has the given conditional variance function, it corresponds to an ARCH(3) model.

In the case of ARCH models, the ML estimation process involves the following steps:

1. Specify the ARCH model: Determine the appropriate order of the ARCH model by analyzing the autocorrelation and partial autocorrelation functions of the squared residuals (or other suitable diagnostic tests). For example, an ARCH(3) model implies that the conditional variance at time t depends on the squared residuals at time t-1, t-2, and t-3.

2. Formulate the likelihood function: The likelihood function specifies the probability of observing the given data under the assumed ARCH model. In ARCH models, the likelihood function is constructed based on the assumption that the errors follow a normal distribution with mean zero and a time-varying conditional variance.

3. Maximize the likelihood function: The goal is to find the parameter values that maximize the likelihood function. This is typically achieved using numerical optimization techniques, such as the Newton-Raphson algorithm or the BFGS algorithm.

4. Estimate the parameters: Once the likelihood function is maximized, the estimated parameter values are obtained. These estimates represent the best-fitting values that maximize the likelihood of observing the given data.

Therefore, the answer to Question 7 is: ARCH(3).

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Among the given expressions, the one that could be the possible leading term for the polynomial function graphed below is -18x¹⁴.

The leading term of a polynomial function is the term containing the highest power of the variable. Among the given expressions, the one that could be the possible leading term for the polynomial function graphed below is -18x¹⁴.

The degree of a polynomial function is the highest degree of any of its terms.

If a polynomial has only one term, then the degree of that term is the degree of the polynomial and is also called a monomial.

For example, consider the given function:Now, observe the degree of the function, which is 14, as the highest exponent of the function is 14.

Thus, the term containing the highest power of the variable x is -18x¹⁴.

Therefore, among the given expressions, the one that could be the possible leading term for the polynomial function graphed below is -18x¹⁴.

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Answer:

x=3.8

Step-by-step explanation:

You would use the inverse operation by subtracting 3.2 from both sides of the equation, leaving you with x=3.8

Alex’s FICA tax is 7.65% of her earnings of $425.78 per week, which is equal to 0.0765 * 425.78 = $32.57. Therefore, his employer should withhold $32.57 for FICA tax.

FICA stands for Federal Insurance Contributions Act and is a payroll tax that funds Social Security and Medicare. Employers are required to withhold a certain percentage of an employee’s earnings for FICA tax. In this case, Alex’s FICA tax rate is 7.65% and her earnings are $425.78 per week, so her employer should withhold $32.57 for FICA tax. FICA tax = Earnings x FICA tax rate = $425.78 x 7.65% = $32.57 (rounded to the nearest cent). Therefore, Alex's employer should withhold approximately $32.57 as FICA tax.

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This question bus not written properly

Complete Question

Angel runs 4 miles per Day. What Is the relationship between the Number of days and how many miles he has run? Is it proportional or non proportional?

Answer:

a) What Is the relationship between the Number of days and how many miles he has run?

The relationship between the number of days and how many miles he has run is as the number of days increases the number of miles he had run increases.

b) Is it proportional or non proportional?

Yes the number of days is DIRECTLY PROPORTIONAL to how many miles he has run

Step-by-step explanation:

The question has proportionality involved.

Proportion or Proportionality had to do with two quantities that vary with each other.

The two quantities are Number of days and Number of miles

We can say:

Number of days ∝ Number of miles

Number of days = k × Number of miles

Where k is constant if Proportionality.

Angel runs 4 miles per Day.

Mathematically, this is expressed as:

1 days = k × 4 miles

k = 1/4

Let find the number of miles he had run in 2 days.

Number of days = k × Number of miles

2 = 1/4 × number of miles

Number of miles = 4 × 2

= 8 miles.

a) What Is the relationship between the Number of days and how many miles he has run?

The relationship between the number of days and how many miles he has run is as the number of day increases the number of miles he had run increases.

b) Is it proportional or non proportional

Based on the calculation above, where:

Number of days ∝ Number of miles

Yes, it is proportional and Number of days is DIRECTLY PROPORTIONAL to Number of miles Angel runs.

10π feet of the border material will be needed to go around the flower bed

Circumference of the circle: the circumference is the perimeter of a circle or ellipse. That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out to a line segment. More generally, the perimeter is the curve length around any closed figure

it is given in the question that a gardener is creating a circular flower bed with a diameter of 10 feet in his yard.

which means diameter, d=10 feet

A flexible rubber border material will be used to go around the flower bed

we need to find the circumference of the circle in order to find how many feet of the border material will be needed

Circumference of the circle= 2πr (if radius is given)

                                            = πd (if diameter is given)

                                              (but we know diameter=2radius)

substitute the given values in the circumference formula,

which is equal to = π(10)

                            = 10π feet

10π feet of the border material will be needed to go around the flower bed

Option c is correct

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The equation to model the situation given in the question is (x+3)(x+6) = 148.

Let's assume that the original length and width of the square flower garden were "x". When Harrison expanded the garden, the new length became "x+3" and the new width became "x+6".

The area of a rectangle is given by the formula A = L × W, where A is the area, L is the length, and W is the width. Therefore, the area of the expanded rectangular flower garden is:

A = (x+3)(x+6)

We know that the area of the expanded rectangular flower garden is 148 square feet. So we can set up an equation:

(x+3)(x+6) = 148

{When we solve this equation using the quadratic formula we get x values:

x ≈ 8.2 and x ≈ -17.2 but we know x is the side of the garden so it cannot be negative, therefore, x = 8.2 unit}

This is the equation that models the situation described in the problem.

Therefore, the equation to model this situation is (x+3)(x+6) = 148.

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If the polynomial p(x) is divided by (x-1) three times and has a remainder of 1 at the end, then -1 is a double root of p(x). This means that (x+1) is a factor of p(x) raised to the power of 2.

When a polynomial is divided by (x-1), the remainder represents the value of the polynomial at x=1. Since the remainder is 1, it implies that p(1) = 1. Dividing p(x) by (x-1) three times indicates that the polynomial has been factored by (x-1) three times. Consequently, the polynomial can be written as p(x) = (x-1)^3 * q(x) + 1, where q(x) is the quotient obtained after dividing p(x) by (x-1) three times. Since the remainder is 1, it means that when x=1, p(x) leaves a remainder of 1.

Thus, (1-1)^3 * q(1) + 1 = 1, which simplifies to q(1) = 0. This implies that (x-1) is a factor of q(x), meaning that q(x) can be written as q(x) = (x-1) * r(x), where r(x) is another polynomial.

Substituting this into the earlier expression for p(x), we get p(x) = (x-1)^3 * (x-1) * r(x) + 1. Simplifying further, p(x) = (x-1)^4 * r(x) + 1. Now, we can see that p(x) is divisible by (x+1) since (x+1) is a factor of (x-1)^4, and the remainder is 1. Therefore, -1 is a double root of p(x) because (x+1) appears twice in the factored form of p(x).

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Answer:

6y = 42

Step-by-step explanation:

I'll just answer these questions.

Hi armyy!!

Answer:

$146.00 a month I hope that's what you're look for

Step-by-step explanation:

go to Khan academy they give free math explainations

The no-arbitrage price today of a 5-year $1,000 US Treasury note with a 2% coupon rate and a 4.25% yield to maturity is approximately $908.44, closest to option B: $900.53.

To determine the no-arbitrage price of a 5-year $1,000 US Treasury note with a coupon rate of 2% and a yield to maturity (YTM) of 4.25%, we can use the present value of the future cash flows.First, let's calculate the annual coupon payment. The coupon rate is 2% of the face value, so the coupon payment is ($1,000 * 2%) = $20 per year.The yield to maturity of 4.25% is the discount rate we'll use to calculate the present value of the cash flows. Since the coupon payments occur annually, we need to discount them at this rate for five years.

Using the present value formula for an annuity, we can calculate the present value of the coupon payments:PV = C * (1 - (1 + r)^-n) / r,

where PV is the present value, C is the coupon payment, r is the discount rate, and n is the number of periods.

Plugging in the values:PV = $20 * (1 - (1 + 0.0425)^-5) / 0.0425 = $85.6427.

Next, we need to calculate the present value of the face value ($1,000) at the end of 5 years:PV = $1,000 / (1 + 0.0425)^5 = $822.7967.

Finally, we sum up the present values of the coupon payments and the face value:No-arbitrage price = $85.6427 + $822.7967 = $908.4394.

Rounding to the penny, the no-arbitrage price is $908.44, which is closest to option B: $900.53.

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The correct conversions are D. 3,500 mL and E. 350 mL.

To determine which conversions are true for the capacity of the pitcher of orange juice, we can use the following conversion factors:

1 liter (L) = 1,000 milliliters (mL)

1 kiloliter (kL) = 1,000 liters (L)

Given that the pitcher has a capacity of 3.5 liters, we can convert it to the following units:

A. 0.35 kL: This is incorrect since 0.35 kL would be equivalent to 350 liters, not 3.5 liters.

B. 0.035 kL: This is incorrect since 0.035 kL would be equivalent to 35 liters, not 3.5 liters.

C. 0.0035 kL: This is incorrect since 0.0035 kL would be equivalent to 3.5 liters, not 3.5 liters.

D. 3,500 mL: This is correct since 3.5 liters is equivalent to 3,500 milliliters.

E. 350 mL: This is correct since 3.5 liters is equivalent to 350 milliliters.

Therefore, the correct conversions are D. 3,500 mL and E. 350 mL.

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Step-by-step explanation:

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.

The probability of selecting an orange marble is 0.33.

Option B is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The number of times each marble is selected.

Green = 4

Black = 6

Orange = 5

Total number of times all marbles are selected.

= 4 + 6 + 5

= 15

Now,

The probability of selecting an orange marble.

= 5/15

= 1/3

= 0.33

Thus,

The probability of selecting an orange marble is 0.33.

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A hamburger has 350 calories. So an order of fries has 320 calories, and a hamburger has 50 + 320 = 370 calories.

To solve the problem, you can use algebraic equations. Let x be the number of calories in an order of fries. Then, the number of calories in a hamburger is 50 + x. The problem tells us that 2 hamburgers and 3 orders of fries have a total of 1700 calories. This can be written as:

2(50 + x) + 3x = 1700

Simplifying and solving for x, we get:

100 + 2x + 3x = 1700

5x = 1600

x = 320

So an order of fries has 320 calories, and a hamburger has 50 + 320 = 370 calories.

Explanation:

To solve the problem, we need to set up an equation that relates the number of hamburgers and fries to the total number of calories. We can use algebraic variables to represent the unknown quantities. Let x be the number of calories in an order of fries, and let y be the number of calories in a hamburger.

The problem tells us that each hamburger has 50 + x more calories than each order of fries. This means that the number of calories in a hamburger is equal to the number of calories in an order of fries plus 50:

y = x + 50

We also know that 2 hamburgers and 3 orders of fries have a total of 1700 calories. This can be written as:

2y + 3x = 1700

Now we can substitute the first equation into the second equation to eliminate y:

2(x + 50) + 3x = 1700

Simplifying and solving for x, we get:

2x + 100 + 3x = 1700

5x = 1600

x = 320

So an order of fries has 320 calories. We can substitute this value back into the first equation to find the number of calories in a hamburger:

y = x + 50

y = 320 + 50

y = 370

Therefore, a hamburger has 370 calories.

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