Circle circumference
Will mark brainliest

Answer:

The answer is 50.

Step-by-step explanation:

Use MDAS

Multiplication, Division, Addition and Subtraction

2 + 6 * 8 =

Multiply first then add

2 + 6*8 = ?

= 2 + 48

= 50

Answer:

b i think

Step-by-step explanation:

Cumulative costs of the investments of a mutual fund you currently hold are the amount invested. Net Investment is one investment action's net amount of inflow.

Solution:

The formula for calculating the simple interest:  

\(\to \text{Simple interest} = principal \times rate \times time\)

Total amount = 10000

Let :

From both investments total earned interest  = $620

\(\to \bold{PP \ investment \ return + TT \ investment\ return = 620}\)

\(\to (r \times 10\% \times 1) + (10000 - r \times 5\% \times 1) = 620\\\\\to (r \times \frac{10}{100} \times 1) + (10000 - r \times \frac{5}{100} \times 1) = 620\\\\\to (r \times 0.10 \times 1) + (10000 - r \times 0.05 \times 1) = 620\\\\\to 0.1r + 500 - 0.05r = 620\\\\\to 0.05r = 620 - 500\\\\\to 0.05r = 120\\\\\to r =\frac{ 120}{0.05}\\\\\to r = 2400\)

Therefore,

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Answer:

B

Step-by-step explanation:

2d represents the amount sold on Tuesday

subtracting 150 from this amount fits the question

Answer:

1. Its about 14.90697674418605. I’m not sure if u want it rounded up if u want it rounded up to the nearest whole it would be 15 if I wanted it rounded up to the nearest tenth then it would be 14.9

2. It’s about 173.4814814814815. I wasn’t sure if I wanted this one rounded up too. Rounded up to the nearest whole it would be 173 and rounded up to the nearest tenth it would be 173.5

3. It’s about 100.859375. I wasn’t sure on this one too. Rounded up to the nearest whole would be 101 and rounded up to the nearest tenth it would be 100.9

Step-by-step explanation:

The solution of the formula for s is:

\(s = \sqrt{\frac{5V}{h}}\)

The equation is:

\(V = \frac{1}{5}s^2h\)

To solve for s, we isolate it, hence:

\(s^2 = \frac{5V}{h}\)

\(s = \sqrt{\frac{5V}{h}}\)

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Answer:

C

Step-by-step explanation:

because i did it in school and got it correct sorry if im wrong any way

The current market price for the bond is $870 the yield to maturity is 14.13%

The approximate yield to maturity of this bond is 11.25%, which is above the annual coupon rate of 10% by 1.25%. You can then use this value as the rate (r) in the following formula: C = future cash flows/coupon payments. r = discount rate (the yield to maturity)

knowing that:

the formula is:

\(P = (C / (1 + r))^1 + (C / (1 + r))^2 + ... + (C + F) / (1 + r)^n\)

Putting the values:

\($870 = (130 / (1 + r))^1 + (130 / (1 + r))^2 + ... + (130 + 1,000) / (1 + r)^13\)

Using the math we find that the percentage is  approximately 14.13%;

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The answer to the equation −0.22x + x − 0.33x is 0.11x.

The answer is 0.11x. To solve this, we can start by rearranging the terms of the equation. The equation can be written as:

−0.22x + x − 0.33x = −0.22 + 0.33x

We then subtract x from both sides of the equation, resulting in:

−0.22x − x = −0.22 + 0.33x − x

We then combine like terms on the left side of the equation, resulting in:

−1.22x = −0.55

Finally, we divide both sides of the equation by -1.22 to solve for x, resulting in:

x = 0.11

Therefore, the answer is 0.11x.

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Complete question

What is the value of -0.22+−0.33−0.22x+x−0.33x?

\(\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b\qquad\qquad \\\\[-0.35em] ~\dotfill\\\\ \log_a(2)=f\hspace{5em} \log_a(3)=g\hspace{5em}\log_a(5)=h \\\\\\ 2^f=a\hspace{8em}3^g=a\hspace{7em}5^h=a\)

Answer:

150

Step-by-step explanation:

Answer:

\(y=-4x+5\)

Step-by-step explanation:

The equation of a line with slope \(m\) and \(y\)-intercept \((0,b)\) is \(y=mx+b\).

Answer:

87.92 ft³

Step-by-step explanation:

The formula for the volume of a cylinder is πr² · h

1. Set up the equation

π2² · 7

2. Solve

(3.14)(4)(7) = 87.92

The volume of a cylindrical water tank with a diameter of 4 feet  and a height of 7 feet is 87.92 cubic feet.

Given that, a cylindrical water tank with a diameter of 4 feet and a height of 7 feet.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

We know that, the volume of a cylinder πr²h

Here, radius =4/2 = 2 feet

The volume of a cylinder = 3.14×2²×7

= 3.14×4×7

= 87.92 cubic feet

Therefore, the volume of a cylindrical water tank with a diameter of 4 feet  and a height of 7 feet is 87.92 cubic feet.

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Step-by-step explanation:

which question are you doing

Using a system of equations, the rental cost for a movie and a video game is as follows:

A system of equations is two or more equations solved concurrently or at the same time.

A system of equations is also described as simultaneous equations.

                                  Movies   Video     Total

                                                Games    Cost

First month rental           3          5          $32

Second month rental    12          2          $29

Let the rental cost per movie = x

Let the rental cost per video game = y

3x + 5y = 32 ... Equation 1

12x + 2y = 29 ... Equation 2

Multiply Equation 1 by 4:

12x + 20y = 128 ... Equation 3

Subtract Equation 2 from Equation 3:

12x + 20y = 128

-

12x + 2y = 29

18y = 99

y = 5.5

Substitute y = 5.5 in Equation 1 or 2:

12x + 2y = 29

12x + 2(5.5) = 29

12x + 11 = 29

12x = 18

x = 1.5

Thus, based on simultaneous equations, the rental cost for a movie is $1.50 while a video game's is $5.50.

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a) The point which is closest to the yz-plane is B=(-16,0,10).

b) The distance from the yz-plane to this point is 16.

c) The point farthest from the xy-plane is C=(-9,16,16).

d) The distance from the xy-plane to this point 16.

e) None of the given points have a y-coordinate of 0, so there is no point that lies on the xz-plane.

a) To find the point closest to the yz-plane, we need to find the point with the smallest x-coordinate, since the yz-plane is defined by x=0. The point with the smallest x-coordinate is B=(-16,0,10), so B is closest to the yz-plane.

b) The distance from the yz-plane to point B can be found using the formula for the distance between a point and a plane, which is given by:

distance = |ax + by + cz + d| / √(a² + b² + c²)

where a, b, and c are the coefficients of the plane equation (which are 1, 0, and 0 for the yz-plane), d is the constant term (-0 in this case), and (x, y, z) are the coordinates of the point. Substituting the values for B, we get:

distance = |-16(1) + 0(0) + 10(0) + 0| / √(1² + 0² + 0²) = 16

So the distance from the yz-plane to point B is 16.

c) To find the point farthest from the xy-plane, we need to find the point with the largest z-coordinate, since the xy-plane is defined by z=0. The point with the largest z-coordinate is C=(-9,16,16), so C is farthest from the xy-plane.

d) The distance from the xy-plane to point C can be found using the same formula as before, but with the coefficients of the plane equation being 0, 0, and 1, and the constant term being 0. Substituting the values for C, we get:

distance = |0(0) + 0(0) + 1(16) + 0| / √(0² + 0² + 1²) = 16

So the distance from the xy-plane to point C is 16.

e) To find the point that lies on the xz-plane, we need to find the point with y-coordinate 0, since the xz-plane is defined by y=0. None of the given points have a y-coordinate of 0, so there is no point that lies on the xz-plane.

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Answer: 40 years old.

Step-by-step explanation:

Let man's age = a

Let son's age = b

Since a man is 4 times as old as his son, therefore

a= 4b

In 5 years, he will only be 3 times as old as his son, therefore

a+5=3(b+5)

Apply substitution method :

4b+5=3b+15

b=10

a=40

The mathematical expression 23 - √81 has a value of 14 when evaluated, mathematically

Given the following expression

23 - √81

The expression 23 - √81 involves finding the difference between the number 23 and the square root of 81.

We know that the square root of 81 is 9, so we can simplify the expression to:

23 - √81 = 23 - 9

Evaluate the difference

23 - √81 = 14

Therefore, the value of the expression is 14.

In evaluating expressions like these, it is important to be familiar with basic arithmetic operations and the rules of exponents and radicals.

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The component form of the following vectors is Option A. V = (38.3, 32.1).

To find the component form of a vector given its magnitude and direction angle, we can use trigonometry.

The component form of a vector in two dimensions is represented as (x, y), where x is the horizontal component and y is the vertical component.

In this case, the magnitude of the vector is given as 50, and the direction angle θ is 50°. We can use this information to calculate the horizontal and vertical components.

The horizontal component (x) can be found using the formula x = magnitude * cos(θ), and the vertical component (y) can be found using y = magnitude * sin(θ).

Let's calculate the components:

x = 50 * cos(50°) ≈ 38.3

y = 50 * sin(50°) ≈ 32.1

Rounding the answers to the nearest tenth, we get the component form of the vector V as (38.3, 32.1).

Therefore, the correct answer is A. V = (38.3, 32.1).

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The question is incomplete. Find the full content below:

Find the component form of the following vectors. Round your answers to the tenth.

Magnitude of v = 50, direction angle θ = 50°

A. V = (38.3, 32.1)

B. V = (33.8, 31.2)

C. V = (32.1, 38.3)

D. V = (31.2, 33.8)

Answer: 0.79758

Step-by-step explanation:

Given that :

Mean (m) = 2.5

Variance = 0.36

Thw standard deviation = sqrt(variance) = sqrt(0.36) = 0.6

The probability of the random variable having a value less than 3 is obtained by:

P(x < 3)

Using the relation to obtain the standardized Zscore :

Z = (x - m) / s

Z = (3 - 2.5) / 0.6

Zscore = 0.8333333

p(Z < 0.833) = 0.79758 ( Z probability calculator)

Answer:

22/7 * 8.5 * 8.5 = answer

Answer:

Step-by-step explanation:

A = π r² ≈ 3.14 × (8.5)² = 226.865 m²

Answer:

0.0018 = 0.18% probability of two out of tree people having a reaction.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have a reaction, or they do not. The probability of a person having a reaction is independent of any other person. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

The probability of someone having a reaction to a medication is 0.025.

This means that \(p = 0.025\)

What is the probability of two out of tree people having a reaction?

This is \(P(X = 2)\) when \(n = 3\). So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 2) = C_{3,2}.(0.025)^{2}.(0.975)^{1} = 0.0018\)

0.0018 = 0.18% probability of two out of tree people having a reaction.

The angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.

Given sinz = -4/5 for pi < z < (3pi)/2, we need to find the value of cosz. We can use the trigonometric identity of Pythagorean theorem to find the value of cosz.

According to Pythagorean theorem, sin2θ + cos2θ = 1, where θ is the angle in the right-angled triangle and sin, cos are the trigonometric ratios.

The negative sign for the given sinz indicates that the angle z is in the third quadrant. So, we can take the help of the unit circle to find the value of cosz as shown below:

Here, we have used the Pythagorean identity of sin2z + cos2z = 1 on the unit circle to find the value of cosz. Since the value of sinz is already given, we can find the value of sin2z as: sin2z = sinz x sinz = (-4/5) x (-4/5) = 16/25

Then, we can substitute the value of sin2z in the Pythagorean identity as: cos2z = 1 - sin2z = 1 - (16/25) = 9/25We need to find the value of cosz.

So, we can take the square root of cos2z as: cosz = ±(√(9/25)) = ±(3/5)The sign of cosz can be determined by considering the quadrant of the angle z.

Since the angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.

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The answer would be

8.64 x 10^4

Answer:

option B

Step-by-step explanation:

First Quartile = 14

Answer:

18 adults

Step-by-step explanation:

Children for every adult is,

→ 36/6

→ 6 children

Now adults for 108 children are,

→ 108/6

→ 18 adults

Hence, we need 18 adults.

Answer:

  a) 7 m

  b) 22 cm

Step-by-step explanation:

Given plans at a scale of 1 : 50, you want (a) the actual length corresponding to a plan length of 14 cm, and (b) the plan length corresponding to an actual length of 11 m.

The actual lengths are wanted in meters, so we can rewrite the scale to translate between plan cm and actual m.

  plan : actual = 1 cm : 50 cm

  = 1 cm : 0.5 m

  = 2 cm : 1 m

Multiplying the scale by 7, we have ...

  2 cm : 1 m = 14 cm : 7 m

The actual length is 7 meters.

Multiplying the scale by 11, we have ...

  2 cm : 1 m = 22 cm : 11 m

The plan length is 22 cm.