What is the sum of the digits in 18

Answer: 29.25

Step-by-step explanation:

3(9.75)

Answer: 14.9 years, approximately 15years.

Step-by-step explanation:

Formular for finding the amount of a compound interest

A = P ( 1 + r/100 )n

From the question given,

A = $14,000; P = $4,000; n = ? (year)

Rate = 8.75%.

Substitute for these values in the above equation, we therefore have

14,000 = 4,000(1+ 8.75/100)n (is raised to the power of n)

Divide both side by 4,000

14,000/4,000 = 4,000(1+8.75/100)n/4,000.solving the one in bracket fractionally

3.5 = {(100 + 8.75)/100}n

3.5 = (108.75/100)n

3.5 = 1.0875n( raised to the power of n).In order to solve for 'n' to know the number of years, we take the logarithm of both side.

Log.3.5 = Log(1.0875)n

Going by the law of logarithm,

Log 3.5 = nLog1.0875

Checking your log table, log 3.5 =0.5441 and log1.0875 = 0.0364

Equating both and solve for n

0.5441 = 0.0364n

Divide through by the coefficient of n,

n = 0.5541/0.0364

n = 14.9 years

Approximately 15 years

Hence it will take $4,000 at 8.75% rate to amount to $14,000 a period of 14.9 years approximately 15years.

Answer:

the answer would be A

Step-by-step explanation:

Answer:

[tex]\cos\theta=\pm0.5[/tex]

Step-by-step explanation:

Given:

[tex]\sin^2\theta=0.75[/tex]

To find [tex]\cos\theta[/tex]

Using trigonometric relations for sums and differences of squares of the ratios.

We know:

[tex]\sin^2\theta+\cos^2\theta =1[/tex]

Plugging in  [tex]\sin^2\theta=0.75[/tex] in the above relation.

[tex]0.75+\cos^2\theta =1[/tex]

Subtracting both sides by 0.75.

[tex]0.75+\cos^2\theta-0.75 =1-0.75[/tex]

[tex]\cos^2\theta =0.25[/tex]

Taking square root both sides.

[tex]\sqrt{\cos^2\theta} =\sqrt{0.25}[/tex]

∴ [tex]\cos\theta=\pm0.5[/tex]  (Answer)

3 3/4 is the answer

10 3/4 --- 43/4

6 4/4--- 7 or  28/4

43/4- 28/4=  15/4

15/4 simplified is 3 3/4

Answer:

43/4 - 28/4 = (43 - 28)/4 = 15/4 or 3 3/4

Step-by-step explanation:

10 3/4 - 6 4/4 . The expression means we should find the difference between 10 3/4 and 6 4/4. The best approach to find the difference of this kind of fractions with whole number is by turning each to an improper fraction.

10 3/4 . This whole number fraction can be turn to an improper fraction as follows

10 × 4 + 3 = 43 then 43/4

6 4/4.   4 × 6 + 4 = 28/4.

Now , let's find the difference

The denominator is same, which is 4

43/4 - 28/4 = (43 - 28)/4 = 15/4 or 3 3/4

Answer:

6.40=$12.60

Step-by-step explanation:

First, make the equation following the problem.

$7.50 + $0.85 = $12.60

Then, find the number of miles.

$7.50 * $0.85 = $6.40

$6.40=$12.60

Don't need to solve it because it is asking for the equation.

This is a linear equation problem in Mathematics. The equation to find out the number of miles for the given total charge would be 7.50 + 0.85m = 12.60. Through algebraic manipulation, it is found that the shuttle travelled 6 miles.

The subject of this question is in the field of Mathematics, specifically under linear equations in algebra. In this problem, the customer is charged a flat fee of $7.50 and then an additional $0.85 per mile. The total charge for this trip was $12.60, and we're tasked with finding the number of miles covered for this charge.

The equation to solve this problem would be 7.50 + 0.85m = 12.60, where 'm' represents the miles. We subtract 7.50 from both sides, then we get: 0.85m = 5.1. To solve for 'm', we divide both sides by 0.85, and we receive m = 6 miles.

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Evaluate.

12.25 - 7 2/3 = 12 1/4 - 7 2/3 = 12 3/12 - 7 8/12 = 4 7/12

answer: B

Answer:

[tex]([7]x+[2])^2[/tex]

Step-by-step explanation:

Given:

[tex]49x^2+28x+4[/tex]

We need to factorize the given trinomial.

To solve the above expression we will Split the product of first term and third term to get the second term by either adding or subtracting.

So we get;

[tex]49x^2+14x+14x+4\\\\7x(7x+2)+2(7x+2)\\\\(7x+2)(7x+2)\\\\(7x+2)^2[/tex]

Hence Final Answer is:

[tex]([7]x+[2])^2[/tex]

The height of the statue is 19.5 feet.

Why?

We can solve the problem using trigonometric formulas. In this case, we are going to use the trigonometric formula of the tangent.

We know that the person is standing 50ft from the statue, so, it will be the base of the two triangles formed by both angles (elevation and depression)

Using the trignometric formula, we have:

First triangle:

[tex]tg(\alpha )=\frac{h_{1}}{base} \\\\tg(8\°)=\frac{h_{1}}{50ft}\\\\0.14*50ft=h_1\\\\h_1=7ft[/tex]

Second triangle:

[tex]tg(\alpha )=\frac{h_{2}}{base} \\\\tg(14\°)=\frac{h_{1}}{50ft}\\\\0.25*50ft=h_1\\\\h_1=12.5ft[/tex]

Now, the total height of the statue will be:

[tex]TotalHeight=h_1+h_2=7ft+12.5ft\\\\TotalHeight=19.5ft[/tex]

Have a nice day!

In this question, we utilize trigonometry to calculate the height of the statue. By using the tangent of the given angles and the known distance from the observer to the statue, we can find the lines of sight when looking up and down. Subtracting these two measurements gives us the height of the statue, which we find to be 5.2ft.

This question is about applying trigonometry to find the height of an object, in this case, a statue. First, we need to find the height of the line of sight when the person looks up and when they look down. The height for the line of sight when looking up can be found using the formula for the tangent of an angle: tan(θ) = opposite side/adjacent side. Applying this formula, we find that the height of this line of sight is tan(8°) * 50ft = 7.1 ft. Similarly, when looking down, the height is tan(14°) * 50ft = 12.3 ft.

The height of the statue is the difference between these two heights. Therefore, we find: 12.3ft - 7.1ft = 5.2ft

This is a simple application of the concept of the tangent of an angle in a right triangle, a basic part of trigonometry.

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The shaded area's Fraction= 21/100 and Decimal = 0.21.

Step-by-step explanation:

When an area is divided into multiple smaller regions ( smaller squares ) is called parts.

In case of Squares, it can be divided into either rows or columns, sometimes both.  

Form the given diagram, the square consists of 10 rows and 10 columns which makes 100 (10×10) parts in it.

One fraction is obtained by dividing it by the total number of parts.

In this square, 21 shaded fractions are given.

∴ The fraction of shaded Area = 21/100.

Decimal of shaded Area=0.21.

Answer:

A

Step-by-step explanation:

12f means 12 x f

+24 means you add 24

Because of pedmas, you do the multiply first so its (12xf)+24

(Also twelve four isn't a number, so B and C don't make sense)

Answer: the answer would be c

Step-by-step explanation:

Answer:

The correct answer is 15.72 or  6 ∛18

Step-by-step explanation:

Let's calculate the cube root of 216 * 18

∛(216 * 18)

216 = 8 * 27

8 = 2³; 27 = 3³

18 = 9 * 2 or 3² * 2

∛(8 * 27 * 18)

Simplifying:

∛(2³ * 3³ * 3² * 2)

∛(2³ * 3³ * 3² * 2)

2 * 3 ∛(3² * 2

6 * 2.62 = 15.72 or 6 ∛18

Answer:

I think is d I need help please

Answer:

12.75 + 0.75v = t

Step-by-step explanation:

12.75 is the fee she has to pay to join so you would add that to the cost of videos she rented. Since 0.75 is the cost of one and you don't know how many she rented you would put a variable which in this case would be "v". So if she payed the fee and rented 2 videos it would be 12.75 + 0.75(2) = 14.25

The correct equation to represent the total amount Sierra pays to rent videos is:

[tex]\[ t = 0.75v + 12.75 \][/tex]

Where [tex]\( t \)[/tex] represents the total cost, [tex]\( v \)[/tex] represents the number of videos Sierra rents, [tex]\( 0.75 \)[/tex] is the cost per video, and [tex]\( 12.75 \)[/tex] is the initial fee Sierra paid to join the video rental club. The term [tex]\( 0.75v \)[/tex] calculates the total cost of renting [tex]\( v \)[/tex] videos, and adding [tex]\( 12.75 \)[/tex] accounts for the initial fee. This equation allows us to determine the total cost [tex]\( t \)[/tex] for any number of videos [tex]\( v \)[/tex] that Sierra rents.

Answer:

v= -0.61445783132

Step-by-step explanation:

Divide both sides by 8.3

-5.1 ÷ 8.3= -0.61445783132

8.3v ÷ 8.3= v

So, v=-0.61445783132

8.3v ÷ 8.3= v

Answer:

[tex]\frac{24}{25}[/tex]

Step-by-step explanation:

Given

cosA = [tex]\frac{3}{5}[/tex] = [tex]\frac{adjacent}{hypotenuse}[/tex]

Then the opposite side using Pythagorean triple is 4, thus

sinA = [tex]\frac{4}{5}[/tex]

Using the trigonometric identity

sin2A = 2 sinAcosA, then

sin2A = 2 × [tex]\frac{4}{5}[/tex] × [tex]\frac{3}{5}[/tex]

         = [tex]\frac{2(4)(3)}{5(5)}[/tex] = [tex]\frac{24}{25}[/tex]

Answer:

[tex]\sin(2A)=\frac{24}{25}[/tex]

Step-by-step explanation:

Double angle identity for sine is

[tex]\sin(2A)=2\sin(A)\cos(A)[/tex].

We know [tex]\cos(A)[/tex]. We now need to find [tex]\sin(A)[/tex] to find our answer.

Recall the following [tex]Pythagorean Identity[/tex]:

[tex]\sin^2(A)+\cos^2(A)=1[/tex].

Replace [tex]\cos(A)[/tex] with [tex]\frac{3}{5}[/tex]:

[tex]\sin^2(A)+(\frac{3}{5})^2=1[/tex]

[tex]\sin^2(A)+\frac{9}{25}=1[/tex]

Subtract [tex]\frac{9}{25}[/tex] on both sides:

[tex]\sin^2(A)=1-\frac{9}{25}[/tex]

[tex]\sin^2(A)=\frac{25}{25}-\frac{9}{25}[/tex]

[tex]\sin^2(A)=\frac{25-9}{25}[/tex]

[tex]\sin^2(A)=\frac{16}{25}[/tex]

Now to finally get the value of [tex]\sin(A)[/tex] take the square of both sides:

[tex]\sin(A)=\pm \sqrt{\frac{16}{25}}[/tex]

Since [tex]A[/tex] is in the interval [tex](0,90)[/tex], then [tex]\sin(A)>0[/tex].

[tex]\sin(A)=\sqrt{\frac{16}{25}}[/tex]

[tex]\sin(A)=\frac{\sqrt{16}}{\sqrt{25}}[/tex]

[tex]\sin(A)=\frac{4}{5}[/tex]

So let's finally find the numerical value of [tex]\sin(2A)[/tex].

[tex]\sin(2A)=2\sin(A)\cos(A)[/tex]

[tex]\sin(2A)=2\cdot \frac{4}{5} \cdot \frac{3}{5}[/tex]

[tex]\sin(2A)=\frac{2(4)(3)}{5(5)}[/tex]

[tex]\sin(2A)=\frac{24}{25}[/tex]

Side note:

If [tex]A[/tex] is between 0 and 90 degrees, then we are in the first quadrant.

If we are in the first quadrant, both [tex]x=\cos(A)[/tex] and [tex]y=\sin(A)[/tex] are positive.

Answer:

3 1/4 + 2 7/8= 6 1/8

Step-by-step explanation:

1.  Cross multiply 1/4 and 7/8 which equals 1  1/8.

2. 3+2+1(from cross multiplying)= 6

Answer: 6 1/8

Using fraction strips, the result of 3 1/4 + 2 7/8 is 6 1/8.

Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.

Given, Jane is adding 3 1/4 + 2 7/8 using fraction strips.

Fraction strips are rectangular pieces (electronic or copied on paper strips) to represent different parts of the same whole. They can be cut apart and manipulated to see how various parts can be added together to make the whole or compare different fractional amounts for equivalency.

First, we will add fraction parts

=> 1/4 + 7 / 8

We can write 1/4 as 2/8 since they have the same values

=> 2/8 + 7/8

Since now the denominators are the same, therefore we can add the numerators directly. Hence, the sum of 2/8 and 7/8

=> 9/8

=> 8/8 +1/8

=> 1 + 1/8

Thus the sum = 3 + 2 + 1 + 1/8

Sum = 6 + 1/8

therefore, the sum of 3 1/4 + 2 7/8 using fraction strips is 6 1/8.

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Answer:

$0.25 per ticket

Step-by-step explanation:

$3 for 12 tickets so divided the number of tickets by amount of money spent to find price per ticket.

3/12 = $0.25 per ticket

Answer:

0.25

Step-by-step explanation:

beacuse  it is 0.25 because 0.25 times 12 = $3.00

You would spend $63.58 on gas per week.

Step-by-step explanation:

Given,

Distance per day = 117 km

Distance in a week = 117*7 = 819 km

1 km = 0.6214 mile

819 km = 819*0.6214 = 508.93 miles

Car's mileage = 42.0 mi/gallons

Let,

x be the gallons for 508.93 miles

x gallons = [tex]\frac{508.93}{42}=12.12[/tex]

Therefore,

12.12 gallons of gas is needed for one week.

1 US gallon = 3.785 liters

12.12 gallons = 12.12*3.785

12.12 gallons = 45.87 liters

Cost of gas per liter = 1.10 euro

Cost of 45.87 liters = 1.10*45.87 = 50.457 euros

1 euro = $1.26

50.457 euros = 1.26*50.457 = $63.58

You would spend $63.58 on gas per week.

Keywords: multiplication, division

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Answer:

4+4x=20

4x=20-4

4x=16

x=16/4

x=16

AnswerAnswerAnswerAnswerAnswerAnswerAnswer

The correct ordered pair for the given equation is D. (3,4).

To find the correct ordered pair, we substitute the x-value from each pair into the equation and check if the resulting y-value matches the one in the ordered pair.

Substituting x = 5 into the equation gives us 52 - 2(5) + 1 = 25 - 10 + 1 = 16, which does not match the y-value of 10 in the ordered pair (5,10), so A is not correct.

Substituting x = -1 gives us (-1)2 - 2(-1) + 1 = 1 + 2 + 1 = 4, which does not match the y-value of 3 in (-1,3), so B is not correct.

Substituting x = 1 gives us 12 - 2(1) + 1 = 1 - 2 + 1 = 0, which does not match the y-value of 2 in (1,2), so C is not correct.

Finally, substituting x = 3 into the equation gives us 32 - 2(3) + 1 = 9 - 6 + 1 = 4, which matches the y-value in the ordered pair (3,4), making D the correct answer.

Therefore, the correct ordered pair is D. (3,4).

Answer: 3/5 * 3/1 is 9/5 I think

Step-by-step explanation: Go to a calculator and type it but I think it’s KCF so yeah

Answer:

9/5 or 1.8

Step-by-step explanation:

3/5 * 3/1 = 9/5 or 9 divided by 5 gets 1.8

Answer:

The 2 expressions are:

1) −2.6x−(−5.9x) = −2.6x + 5.9x

2) −2.6x+(−5.9x) = −2.6x - 5.9x

Options:

−2.6x−5.9x  -> equivalent to 2nd expression

5.9x+(−2.6x)  = −2.6x) + 5.9x -> equivalent to 1st expression

5.9x−(−2.6x)  = 5.9x + 2.6x = 2.6x + 5.9x ->  equivalent to neither expression

−5.9x+(−2.6x)  = −5.9x − 2.6x =  − 2.6x − 5.9x -> equivalent to 2nd expression

−2.6x+5.9x  -> equivalent to 1st expression

−5.9x+2.6x = 2.6x − 5.9x ->  equivalent to neither expression

Answer:

50

Step-by-step explanation:

Answer:

50

Explanation:

Answer:

Here we do not have the options, but ill try to give an answer.

A system of equations is something of the shape:

A1*x + B1*y = C1

A2*x + B2*y = C2

Where this is a linear relationship, you could have a more complex system, but this will work for the example.

If you want to have a unique solution for a system of equations, you need to have the same number of linearly independent equations (this means that the equations are not repeated, like for example in x + y = 2, and 2x + 2y = 4, where the second equation is equal to two times the first one) than the number of variables, so if we have two variables X and Y, we need to have two linearly independent equations.

If we have less, suppose that you have two variables and only one equation, you will have:

A1*x + B1*y = C1

y = (C1 - A1*x)/B1

Here, for each value of x you have a different value of y, so you have infinite solutions.

So for an answer this you need to find the system where the number of linearly independent equations is smaller than the number of variables.

Answer:

He can cook 52 or less than 52 batches of lasagna.

Step-by-step explanation:

0.9L+0.3S≤60

Putting the value of s = 44

0.9L+0.3 (44) ≤ 60

0.9L+ 13.2 ≤ 60

0.9L ≤ 60 -13.2

L ≤ 46.8/0.9

L ≤ 52

Answer:

Eldar can cook 555 batches of lasagna at most.

Step-by-step explanation:

The required number of costume is 8 and remaining fabric is 2 yards.

The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.

The total length of fabric is 26 yards.

And, the requirement for each costume is 3 yards.

Now, the number of costumes to be made and the remaining fabric are the quotient and remainder of the following expression,

26 ÷ 3

It gives the quotient and remainder as 8 and 2 respectively.

Hence, the number of costumes and the fabric left are given as 8 and 2 yards respectively.

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Explanation:

We started with x = 1 and ended up with y = -2. So the point (x,y) = (1,-2) is on the diagonal line. In other words, point P is located at (1,-2).

Answer:

11.43 kilometers

Step-by-step explanation:

Answer:

11.43 kilometers.

Step-by-step explanation:

All you have to do is add the two distances (AKA numbers, to make it even simpler). It doesn't matter what distance was traveled by train or bus! The point is that the distances traveled were both in kilometers! With that being said, all we have to do is add 7.22 + 4.21, and voila! We get 11.43!

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Have a great day!