Enter the value of 6-\sqrt{19} to the nearest tenth

M = C(1+r)^t

5675 = 350(1+0.0365/2)^t

5675=350×1.01825^t

t = 154.04

Answer:

Approximately 77 years

Step-by-step explanation:

V(t)=P(1+r/n)^nt

5675=350(1+.0365/2)^2t

16.214=1.01825^2t

log16.214=log1.01825^2t

log16.214=2t(log1.01825)

log16.214/2log1.01825=t

77=t

Answer: 30

Step-by-step explanation:

A sinusoidal equation can be used to describe the height because the height depends on a periodic motion, and the equation can be written as:

h(t) = 13ft*sin(pi*t) + 24ft

Remember that the sine function has a periodicity, such that:

sin(x + 2pi) = sin(x).

So, for a circle where if you do a complete rotation you end in the initial place, so there can be a relation between the height and a sinusoidal equation.

Notice that the initial position is 24ft above the ground, so we can write this, at the moment, as:

h(x) = Asin(n*t) + 24ft

A is the amplitude, it defines the maximum height and minimum height, both depend on the radius (the maximum height is 24ft plus the radius, the minimum height is 24ft minus the radius) then we write:

h(t) = 13ft*sin(kt) + 24ft

k depends on how much time takes to do a full rotation. We know that the sine function does a "complete cycle" in 2pi, while the wheel does a full rotation in 2 seconds, then we have that:

k*2 = 2pi

k = (2pi)/2s = pi

Then the sinusoidal equation that represents the height is:

h(t) = 13ft*sin(pi*t) + 24ft

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Answer:

the ratio is easy to find if you subtract 52 to 24 which is 28 so the ratio is 28 to 24

Answer:

x=29

Step-by-step explanation:

180-87=93

93=3x+6

-6        -6

--------------

93=3x

/3    /3

-------------

29=x

x=29

*all angles in a triangle add up to 180. So, 35+52=93. 180-93=87.

C=87

Answer:

−

2

(

2

−

7

)

Step-by-step explanation:

Let's first write out

2s+4+(-6s)+10

now simplify

-4s+14

again

now correct

Answer:

6and 7,8,9,10 CORRECT ME IF I'M WRONG

Answer:

[tex]c)\ 2\frac{4}{10}[/tex]

Step-by-step explanation:

[tex]5\frac{1}{5}-2\frac{8}{10} \\\\5\frac{2}{10}-2\frac{8}{10} \\\\\frac{52}{10}-\frac{28}{10} \\\\ \frac{24}{10} \\\\2\frac{4}{10}[/tex]

Hope this helps!

Answer:

5 1/5 - 2 8/10

26/5 - 28/10=24/10=2 4/10

The measure of the other two angles is 30 degrees.

An  acute scalene triangle is a triangle in which all the angles are less than 90 degrees and all the three side lengths are not equal. A right scalene triangle is a triangle that has an angle that measure 90 degrees and all the three side lengths are not equal.

An obtuse scalene triangle is a triangle in which one of its angle is greater than 90 degrees but less than 180 degrees and all the three side lengths are not equal. A right isosceles triangle is a triangle that has an angle that measure 90 degrees and two sides have an equal length.

An acute equilateral triangle s a triangle in which all the angles are less than 90 degrees and all the three side lengths are of equal lengths. An obtuse isosceles triangle  is a triangle in which one of its angle is greater than 90 degrees but less than 180 degrees and two of the side lengths are of equal lengths.

The sum of angles in a triangle measure 180 degrees. If given two measure of angles, in order to determine the third angle, add the two given angles and subtract from 180 degrees.

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Answer: B. T(n) = 0.2(2)^n

Step-by-step explanation:

you start with the original thickness which is 0.2 then you would double that( times 2) for every fold (n) which would be 2^n.

this makes the equation 0.2(2)^n

Measurements are the metric units of an item, quantity or object

Beetles

The beetle covers two marks in a total length of 1 inch of 4 marks

So, the measurement of the beetle is:

[tex]Beetle = \frac{2\ inch}{4}[/tex]

Evaluate the quotient

[tex]Beetle = 0.5\ inch[/tex]

Ladybugs

The ladybug covers one mark in a total length of 1 inch of 4 marks

So, the measurement of the ladybug is:

[tex]Ladybug = \frac{1\ inch}{4}[/tex]

Evaluate the quotient

[tex]Ladybug = 0.25\ inch[/tex]

Butterfly

The butterfly covers four marks in a total length of 1 inch of 4 marks

So, the measurement of the butterfly is:

[tex]Butterfly= \frac{4\ inch}{4}[/tex]

Evaluate the quotient

[tex]Butterfly =1\ inch[/tex]

Hence, the length of the butterfly is 1 inch

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Answer:

mn^2+3n^2+4mn+4n+m^2-m-2

Answer:

2/4, 4/8, 8/16, 16/32

Step-by-step explanation:

2/4
2x2/4x2 = 4/8
4x2/8x2 = 8/16
8x2/16x2 = 16/32

Answer:

75

Step-by-step explanation:

40 - 5 = 35 years till the son will be 40, his fathers age

40+35 = 75, the dad's age 35 years in the future when the son is 40

Hello.

Plug in the value of p:

[tex]\mathrm{-10=10-3y}[/tex]

Now, all we have to do is solve the equation for y.

First, let's add 10 to both sides:

[tex]\mathrm{-10+10=10+10-3y}[/tex]

[tex]\mathrm{0=20-3y}[/tex]

Now, add 3y to both sides:

[tex]\mathrm{3y=20}[/tex]

Divide both sides by 3:

[tex]\Large\boxed{y=\frac{20}{3} }[/tex]

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

Answer:

1 feet = 12 inches

therefore ,

5 feet = 5 × 12 = 60 inches

Now ,

16 inches to 60 inches ,

[tex] \frac{16}{60} \div \frac{4}{4} = \frac{4}{15} \\ [/tex]

hope helpful~

Answer: 6 1/3

Step-by-step explanation: 16 inches = 1 foot and 4 inches + 5 feet = 6' 4" 6 4/12 simplify = 6 1/3

Answer:

You can calculate Interest on your loans and investments by using the following formula for calculating simple interest: Simple Interest= P x R x T ÷ 100, where P = Principal, R = Rate of Interest and T = Time Period of the Loan/Deposit in years.

Formula: Simple Interest=P×r×t where: P=Principal amount; r=Annual interest rate; t=...

Principal Amount: Principal Amount remains constant on Simple Interest

Meaning: Simple Interest is calculated on the Principal Amount for the entire tenure

Calculation: It is easy to calculate Simple Interest

Answer:

To calculate simple interest, you can use a specific formula:

I (interest) = p (principal) x r (rate) x t (time)

Important: Rate is always a decimal, and time must be a compatible unit that matches with the rate (months, years, etc.).

Answer:

The angles are adjacent (next to each other). Because they are adjacent, the angles equal 180 when added together. Therefore, X = 180-34. X = 146.

Hope this helps, and good luck with math! Have a great day/night :D

Answer:

80

Step-by-step explanation:

48 ÷ 6 = 8 per hour

8 x 10 hours = 80 dogs

Answer: Steve can train 80 dogs.

Step-by-step explanation:

How many dogs he can train divided by how many hours is: 48/6 = 8.
He is able to train 8 dogs per hour. So: 8 x 10 = 80.

The length 2.3 and 7.8 units

We have given that ΔABC, c = 5. 4, a = 3. 3, and measure of angle A = 20 degrees.

The Law of Cosines, which tells us

[tex]a^{2}=b^{2} +c^{2} -2bccosA[/tex]

giving us a quadratic equation for b we can solve.  But let's do it with the Law of Sines as asked.

[tex]\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}[/tex]

We have c,a,A so the Law of Sines gives us sin C

[tex]sinC=\frac{csina}{a} =\frac{5.4sin20}{3.3} =0.5597[/tex]

There are two possible triangle angles with this sine, supplementary angles, one acute, one obtuse

[tex]C_{a}=arcsin(0.5597)=34.033^{0}[/tex]

[tex]C_{0}=180-C_{a} =145.96^0[/tex]

Both of these make a valid triangle with A=20°.   They give respective B's:

[tex]B_{a}=180-A-C_{a} =125.96^0[/tex]

[tex]B_{0}=180-C_{0} =14.033^0[/tex]

So we get two possibilities for b:

[tex]b=\frac{asinB}{sinA} \\\\b_{a} =\frac{3.3sin125.96}{sin 20} \\\\b_{a}=7.8\\\\ b_0=2.3[/tex]

2.3 units and 7.8 units

Therefore we get the length 2.3 and 7.8 units

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Answer: 2.3 units and 7.8 units

Let's check it with the Law of Cosines:

There's a shortcut for the quadratic formula when the middle term is 'even.'

Looks good.

Answer:

The formula for the surface area of a prism is obtained by taking the sum of (twice the base area) and (the lateral surface area of the prism). The surface area of a prism is given as S = (2 × Base Area) + (Base perimeter × height) where "S" is the surface area of the prism.

Step-by-step explanation:

i dont know the base and height because you dont have a picture provided so you can use this as help

Answer: p=5+3/2 or p=5-3/2

Step-by-step explanation:

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: {p}^{2} - 10p + 7 = 0[/tex]

Now, let's use Quadratic formula :

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{ - ( - 10) \pm \sqrt{ {( - 10)}^{2} - 4(1 \times 7) } }{2 \times 1} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{ 10 \pm \sqrt{ 100- 28 } }{2 } [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{ 10 \pm \sqrt{ 72 } }{2 } [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{ 10 \pm6 \sqrt{ 2 } }{2 } [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{ 2(5 \pm3 \sqrt{ 2 }) }{2 } [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = (5 \pm3 \sqrt{ 2 }) [/tex]

So, the required roots are :

[tex]\qquad \sf  \dashrightarrow \:x = 5 + 3 \sqrt{ 2 } [/tex]

and

[tex]\qquad \sf  \dashrightarrow \:x = 5 - 3 \sqrt{2} [/tex]

Answer:

15 m2 is the answer

Step-by-step explanation:

The side of a rhombus is 15 m2. If the length of one diagonal of the rhombus is 8 cm, then find length of the other diagonal. The side of a rhombus is 15 m2. If the length of one diagonal of the rhombus is 8 cm, then find length of the other diagonal. so, the answer is 15 m2

Answer: 22 m2

Step-by-step explanation:

Answer: 27 in^2.

Step-by-step explanation: To simplify this problem, we can split the figure into two rectangles. We can split the figure into a 3x3 square and a 2x9 rectangle. We can calculate these individual areas and then add them up to find the area of the entire figure. 3*3 = 9 and 2*9 = 18. 9 + 18 = 27, so 27 in^2.

Given :-

[tex] \\ \\ [/tex]

To find :-

[tex] \\ \\ [/tex]

Solution :-

[tex] \\ [/tex]

[tex] \looparrowright \sf3x + 5y = 60[/tex]

Put value of x in the equation!

[tex] \\ [/tex]

[tex] \looparrowright \sf3(10)+ 5y = 60[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf3 \times 10+ 5y = 60[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf30+ 5y = 60[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf5(6 + y) = 60[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf(6 + y) = 60 \div 5[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf6 + y= \dfrac{60}{5} [/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf6 + y=\cancel \dfrac{60}{5} [/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf6 + y= \dfrac{12}{1} [/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf6 + y=12[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf y=12 - 6[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \bf y=6[/tex]

[tex] \\ [/tex]

Verification:-

[tex] \\ [/tex]

[tex] \looparrowright \sf3x + 5y = 60[/tex]

Put value of x and y.

[tex] \\ [/tex]

[tex] \looparrowright \sf3(10)+ 5(6) = 60[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf3 \times 10+ 5(6) = 60[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf30+ 5(6) = 60[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf30+ 5 \times 6= 60[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf30+ 30= 60[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \bf60= 60[/tex]

LHS = RHS

HENCE VERIFIED!

Answer:

49º

Step-by-step explanation:

The total amount of º in a triangle is 180

             7 10

90.      180

+41.      -131

131.       049

Answer:

49°

Step-by-step explanation:

x+41°+90°=180°[ being sum of angle of triangle is 180°]

or, x+131°=180°

or, x=180°-131°

or, x= 49°

Answer: 49°

_______________________________________

[Note: This is right angled triangle so that one angle is 90° because there is a sign given to indicate it is 90°]

Mayra weekly salary is $1310 and she would need 4 weeks salary in order to afford a $4000 down payment on that car.

Data;

To calculate her weekly salary, let's divide her annual target by 52 week which the number of weeks present in a year.

Her weekly salary will be

[tex]x = \frac{68120}{52} \\x = 1310[/tex]

Her weekly salary is $1310

To be able to afford a $4000 down payment, she has to work at least 4 weeks.

[tex]\frac{4000}{1310} = 3.05[/tex]

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Step-by-step explanation:

Our equation;

[tex]-5=\frac{y-7}{9}[/tex]

Multiply each side by 9 to remove the fraction;

[tex]-45=y-7[/tex]

Add 7 to each side;

[tex]\boxed{-38=y}[/tex]

Answer:

a, d

Step-by-step explanation:

A direct variation graph will just have points going in a straight line.

The only graphs with a straight line are (a) and (d).