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Janelle baked 25 cookies with 5 scoops of flour. With 12 scoops of flour, how many cookies can Janelle bake? Assume the relationship is directly proportional.

Answer:

$2.50

Step-by-step explanation:

6% of $16.90 is $1.014

$16.90 + $1.014 is $17.914

14% of $17.914 is $2.50796

Which we then round down to $2.50

Hope this helps!

Answer:

£109

Step-by-step explanation:

Anything at or above 50 gets rounded up.

49 and below gets rounded down.

Answer: is, £109, rounded to the nearest pound.

Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.

here, given that,

£108.72 has to be rounded off.

we know,

Anything at or above 50 gets rounded up.

49 and below gets rounded down.

hence, Answer: is, £109, rounded to the nearest pound.

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\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)

\(\qquad\displaystyle \tt \rightarrow \: {y= -1/6(x⁴ +2x³-7x²-8x+ 12 } \)

____________________________________

\( \large \tt Solution \: : \)

The values of x for which curves cuts/touches the x - axis are the roots of that particular polynomial.

And that polynomial can be depicted in form :

\(\qquad \tt \rightarrow \: a(x - h1) (x - h2) (x - h3)........ (x - hn) = 0\)

[ where, h1, h2, h3... hn represents roots of that polynomial, and " a " is the stretch of curve]

And by that, we can sort out the roots of given polynomial that are :

Since there are four roots, the least degree polynomial formed will have bi - quadratic polynomial.

And it will be represented as :

\(\qquad \tt \rightarrow \: y=a(x - ( - 3)) (x - ( - 2))(x - 1)(x - 2) \)

\(\qquad \tt \rightarrow \:y=a (x + 3)(x + 2)(x - 2)(x - 1) \)

And it can be further solved to get ~

\(\qquad \tt \rightarrow \: y=a(x + 3)( {x}^{2} - 4)(x - 1)\)

\(\qquad \tt \rightarrow \:y= a( {x}^{2} - 4)( {x}^{2} + 2x - 3)\)

\(\qquad \tt \rightarrow \: y=a( {x}^{4} + 2 {x}^{3} - 3 {x}^{2} - 4 {x }^{2} - 8x + 12)\)

\(\qquad \tt \rightarrow \: y=a({x}^{4} + 2 {x}^{3} - 7{x }^{2} - 8x + 12)\)

Now, it's time to evaluate the value of a, for that we can just use a point that satifys the curve ( i.e (0 , -2)

plug in the values :

\(\qquad\displaystyle \tt \rightarrow \: {-2= a(0⁴ +2(0)³-7(0)²-8(0) + 12 } \)

\(\qquad\displaystyle \tt \rightarrow \: {-2= a(0 +0-0-0 + 12 } \)

\(\qquad\displaystyle \tt \rightarrow \: {-2= a( 12 )} \)

\(\qquad\displaystyle \tt \rightarrow \: {a= -2 ÷ 12 } \)

\(\qquad\displaystyle \tt \rightarrow \: {a= -1/6} \)

Therefore, the required equation is :

\(\qquad\displaystyle \tt \rightarrow \: {y= -1/6(x⁴ +2x³-7x²-8x+ 12 } \)

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

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The value of CE is 14.7 units.

The diameter of a given circle is a straight line which passes through the center of the circle and divides it into two equal semi-circles.

So that in the given circle with center A, we have;

CE = BD  (diameter of a given circle)

BA = EA = CA = DA    (radius of a given circle)

CE is the diameter of the circle, and BA is the radius, so that;

CE = 2*BA

     = 2*7.35

     = 14.7

CE = 14.7

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The number of comedy DVDs will be equal to 604.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the total number of DVDs are 1830 and the percentage of comedy DVDs is 33%.

The number of comedy DVDs will be calculated as,

N = ( 1830 x 33%)

N = (1830 x 33 ) / 100

N = 604

Therefore, the number of comedy DVDs will be equal to 604.

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The number of square inches of cardboard that are needed to make one

the container is 18.

We have,

The volume of the triangular prism.

= Area of the triangle x height

Now,

Height = 6 in

And,

To find the area of a triangle, we can use Heron's formula.

A = √(s(s-a)(s-b)(s-c))

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case, the side lengths of the triangle are 3.2 in, 3.2 in, and 2 in.

Let's calculate the area using Heron's formula:

s = (3.2 + 3.2 + 2) / 2 = 4.2

A = √(4.2(4.2 - 3.2)(4.2 - 3.2)(4.2 - 2))

A = √(4.2 x 1 x 1 x 2.2)

A = √(9.24)

A ≈ 3.04 square inches

Now,

The volume of the triangular prism.

= Area of the triangle x height

= 3.04 x 6

= 18.24 in²

Now,

Area of one cardboard.

= 1² in²

= 1 in²

Now,

The number of square inches of cardboard that are needed to make one

container.

= The volume of the triangular prism / Area of one cardboard

= 18.24 in² / 1 in²

= 18.24

= 18

Therefore,

The number of square inches of cardboard that are needed to make one

the container is 18.

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The total principal and interest payment that Nelson will have to pay after 2 months is $4665.50.

To calculate the total principal and interest payment, we need to determine the interest amount and add it to the principal.

First, let's find the interest amount:

Interest = Principal x Interest Rate x Time

Given:

Principal = $4650

Interest Rate = 2% per year

Time = 2 months

Since the interest rate is given on an annual basis, we need to convert the time from months to years. There are 12 months in a year, so 2 months is equivalent to 2/12 = 1/6 years.

Interest = $4650 x 0.02 x (1/6) = $15.50

Now, we can calculate the total principal and interest payment:

Total Payment = Principal + Interest

Total Payment = $4650 + $15.50 = $4665.50

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Answer:

No he isnt correct,

Step-by-step explanation:

in total, 6+8 is 14 and 14 is divisible by 2, anything divisible by two is basically even, not odd.

Answer:

13/8

Step-by-step explanation:

The first debt that Alice would have to pay based on the Stack method would be the third debt. Option C

From the stack method, the debt that Alice would have to pay off first would be the debt that has the highest interest rate.

The amount of 150 dollars would then be added to the debt that has the second highest rate.

Hence the amount of debt that would be paid off first would be the first debt based on the stack method.

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Answer:

48 Minutes

Step-by-step explanation:

find a common factor 48:

4*12

6*8

so the answer is 48.

Answer:

24 minutes

Step-by-step explanation:

The Lowest Common Multiple of 12 and 8 is 24:

1. List all prime factors of 12 and 8

2. Cross out any recurring numbers

3. multiple all remaining numbers with the crossed out ones used once

The balance of the savings plan after 4 years with an APR of 8% and monthly payments of $150 is approximately $7,456.76.

As a result, the savings plan formula for such challenges is as follows: final saving = number of periods * (first and last period savings) / 2.

To calculate the balance of the savings plan after four years, we can use the formula for the future value of an annuity with regular payments:

P * ((1 + r/n)(n*t) - 1) / (r/n)

Where P is the monthly payment amount, which is $150.

r = 8% annual interest rate

n = the number of times annual interest is compounded = 12 (since we have monthly payments)

4 t = the number of years

We get the following results when we plug these values into the formula:

FV = 150 * ((1 + 0.08/12)^(12*4) - 1) / (0.08/12) ≈ $7,456.76

As a result, the savings plan balance after four years with an APR of 8% and monthly payments of $150 is approximately $7,456.76.

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Answer:

y = 19.2

Step-by-step explanation:

We know there is relationship between y and x, so according to the formula \(y = kx\)

k = 12/5

we get one function y = 2.4x

when x = 8, input it into the function,

y = 2.4×8 = 19.2

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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Answer:

x≥88

88

88≤x≤100

Step-by-step explanation:

83x3=249

249-73-88=88

x≥88

88

88≤x≤100

Answer:

5.5x+3.5

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The correct answer is D No, Dan should reduce his discretionary spending

Explanation:

For Dan to stay on the budget he needs to spend the amount budgeted for each expense or less than the amount budgeted. This occurred in the case of the Internet, food, and rent; for example, the amount budgeted for the internet was $35 and Dan spent this money, also, the amount budgeted for food was $100 and Dan spent $95, which means he stood in the budget. However, this did not occur with discretionary spending, which refers to other non-necessary expenses, because in this case, Dan spent $140 even when the budget limit was $100. Also, this exceeds the total income considering 35 + 95 + 500+ 140 = $770, which is above the income ($750). Thus, Dan did not stay in the budget because he spent more money than expected in discretionary spending and should reduce this.

The correct answer is D. No, Dan should reduce his discretionary spending.

Hope this helps

:)

Answer:

45

Step-by-step explanation:

answer

729

Step-by-step explanation:

a=l×5w

3×243=729

The value of x in the triangle with angles 80, 40 and (13x - 5) degrees is 5.

The sum of angle in a triangle is equals to 180 degrees. Recall a triangle have three sides. Therefore,

80 + 40 + 13x - 5 = 180

120 - 5 + 13x = 180

115 + 13x = 180

subtract 115 from both sides of the equation

115 - 115 + 13x = 180 - 115

13x = 65

divide both sides by 13

13x / 13 = 65 / 13

x = 5

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Answer:

I believe its A . . .

Hoped I helped -

Sleepy~

Answer:

I think that it is the one on the bottom left

Step-by-step explanation:

I am so sorry if it is wrong he he

Answer:   (0,5)

Another point is (1,1)

There are infinitely many to choose from

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

Explanation:

Pick any x value that you want. I'll pick x = 0

4x+y = 5

4(0)+y = 5

0+y = 5

y = 5

So (0,5) is one point on the line.

If we picked x = 1, then,

4x+y = 5

4(1)+y = 5

4+y = 5

y = 5-4

y = 1

So (1,1) is another point on the line.

There are infinitely many points on the line because we can pick infinitely many x values. We can pick any real number for x.

Each (x,y) point is of the form (x, -4x+5) because solving for y gets us y = -4x+5.

The slope of y = -4x+5 is -4, which means that each time x goes up by 1, y drops by 4, or vice versa.

The definite integral for this problem has the result given as follows:

\(\int_1^5 x^2 + 2x - \tan{x} dx = 212 - \ln{|\sec{5}|} + \ln{|\sec{1}|}\)

The definite integral for this problem is defined as follows:

\(\int_1^5 x^2 + 2x - \tan{x} dx\)

We have an integral of the sum, hence we can integrate each term, and then add them.

For the first two terms, applying the power rule, the integrals are given as follows:

The integral of the tangent is given as follows:

ln|sec(x)|

Then the integral is given as follows:

I = x³/3 + x² - ln|sec(x)|, from x = 1 to x = 5.

Applying the Fundamental Theorem of Calculus, the result of the integral is obtained as follows:

I = 5³/3 + 5² - ln|sec(5)| - (1³/3 + 1² - ln|sec(1)|)

I = 625/3 - 1/3 + 5 - 1 - ln|sec(5)| + ln|sec(1)|

I = 208 + 5 - 1 - ln|sec(5)| + ln|sec(1)|

I = 212 - ln|sec(5)| + ln|sec(1)|.

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Answer:

\(y = 320x +2080\)

Step-by-step explanation:

Given

Population in 1995 = 2400

Population in 2000 = 4000

Required

Determine the linear equation

Let the years be represented with x.

In 1995, x = 1 i.e. the first year

In 2000, x = 6

Let y represents the population

When x = 1; y = 2400

When x = 6; y = 4000

First, we calculate the slope (m)

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

\(m = \frac{4000 - 2400}{6 - 1}\)

\(m = \frac{1600}{5}\)

\(m = 320\)

Next, we calculate the line equation as follows:

\(y - y_1 = m(x - x_1)\)

\(y - 2400 = 320(x - 1)\)

\(y - 2400 = 320x - 320\)

\(y = 320x - 320 + 2400\)

\(y = 320x +2080\)

The frequency which is to filled in the table is 1, 4, 2 and 4.

Given that;

All shopping time of ten shopkeeper:

25, 29, 25, 18, 24, 28, 36, 25, 33, 37

We have to complete the frequency in the table. Frequency of something is the number of times that number is coming.

Since, Shopping time is given as ,

25, 29, 25, 18, 24, 28, 36, 25, 33, 37

And, Intervals for which frequency is given is ,

18 to 22, 23 to 27, 28 to 32, 33 to 37.

Hence, WE get;

Numbers in the range 18 to 22 = 18  therefore 1

Numbers in the range 23 to 27 = 25, 25, 24, 25 therefore 4

Numbers in the range 28 to 32 = 29, 28  therefore 2

Numbers in the range 33 to 37 = 36, 33, 37,  therefore 3

Hence, the frequency which is to filled are 1, 4, 2 and 4.

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Answer:

the SA is 40

Step-by-step explanation:

the formula for SA of a rectangular prism is 2(lw + lh + wh)

so it would be: 2(2x2+2x2+4x2)

can i get brainliest please? i only need two more

Step-by-step explanation:

this is the answer i hope to get full mark

Answer:

9 − (3 x 2) ÷ 3 + 6 is the answer

Answer:

1) 2.009

2) 2.098

3) 2.90

Step-by-step explanation:

Answer:

2.098, 2.009, 2.90