What is the sum of ​23 17/27+8/9​ ?

Answer:

always a positive number because it represents a distance from the mean.

Step-by-step explanation:

Answer:

4/45

Step-by-step explanation:

Multiply the top by the top, and the bottom by the bottom:

\(\frac{1}{9} * \frac{4}{5} = \frac{4}{45}\)

4/45 cannot be reduced down anymore, therefore that is your answer.

Hope this helps!!

- Kay :)

Answer:

The volume of figure is 310.86 cm³

Step-by-step explanation:

First, you have to calculate the volume of cone and cylinder seperately by applying the formulas :

Cone,

\(v = \frac{1}{3} \times \pi \times {r}^{2} \times h\)

\(let \: \pi = 3.14 \\ let \: r = 3 \\ let \: h = 9\)

\(v = \frac{1}{3} \times 3.14 \times {3}^{2} \times 9\)

\(v = 84.78 \: {cm}^{3} \)

Cylinder,

\(v = \pi \times {r}^{2} \times h\)

\(let \: \pi = 3.14 \\ let \: r = 3 \\ let \: h = 8\)

\(v = 3.14 \times {3}^{2} \times 8\)

\(v = 226.08 \: {cm}^{3} \)

Next, you have to add up both volumes as the figure are made from cone and cylinder :

\(v = 84.78 + 226.08\)

\(v = 310.86 \: {cm}^{3} \)

The requreid volume of the composite figure is 310.86 cm³ (rounded to the nearest hundredth).

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

To find the volume of the composite figure, we need to find the volumes of the cylinder and cone and add them together.

The volume of the cylinder is:

\(V_{cylinder} = B\times h\)

where B is the area of the base and h is the height.

The base of the cylinder is a circle with a radius 3 cm, so:

\(B = pi\times r^2\\B = 3.14\times (3)^2\\B = 28.26 cm^2\)

The height of the cylinder is 8 cm, so:

= 8 cm

Therefore, the volume of the cylinder is:

\(V_{cylinder} = B\times h\\V_{cylinder} = 28.26 cm^2\times 8) cm\\V_{cylinder} = 226.08 cm^3\)

The volume of the cone is:

\(V_{cone} = 1/3B\times h\)

where B is the area of the base and h is the height.

The base of the cone is a circle with a radius 3 cm, so:

\(B =\pi\times r^2\\\\B = 3.14\times (3)^2\\B = 28.26 cm^2\)

The height of the cone is 9 cm, so:

h = 9 cm

Therefore, the volume of the cone is:

\(V_cone = 1/3*B*h\\V_cone = 1/3*(28.26 cm^2)*(9) cm\\V_cone = 84.78 cm^3\)

The total volume of the composite figure is the sum of the volumes of the cylinder and cone:

\(V_{total} = V_{cylinder} + V_{Cone}\\V_total = 226.08 cm^3 + 84.78 cm^3\\V_total = 310.86 cm^3\)

Therefore, the volume of the composite figure is 310.86 cm³ (rounded to the nearest hundredth).

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The given angles are:

M arc CB=64°,M<AOC= 116° ,M arc AD=26°,M arc DFB=154°,M<CDB=32°.

First, we use the property that the measure of a central angle is equal to the measure of the intercepted arc.

Given that <COB = 64°, we know that the measure of arc CB is also 64°.

Next, we use the fact that the measure of an angle made on the circumference is half the measure of the angle made at the center.

We know that the measure of intercepted arc AD is 26°, and since the angle made at the center, <ABD, is 13°, we can calculate that the measure of arc AD is 2 x 13° = 26°.

Using the fact that a semicircle has a measure of 180°, we know that the measure of arc DFB is 180° - 26° = 154°.

Finally, we can use the angle CDB to find the missing angle.

We know that <CDB is an angle made on the circumference and that the measure of arc CB is 64°.

Thus, we can calculate that <CDB = 64°/2 = 32°.

Therefore, the missing angle is 32°.

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Answer:

Step-by-step explanation:

The equation is poorly written and I cannot unfortunately solve it.

Answer:

$51

Step-by-step explanation:

$85 x 0.60

The radioactive material concentration as a function of time is given by:

x(t) = x0e^(-kt).

Analytical Solution: The differential equation for the rate of change of radioactive material concentration is given by: dx/dt = -kx, where x is the concentration of the material at time t and k is a proportionality constant.

After separating the variables and integrating both sides, we get: ∫(dx/x) = -k ∫(dt) ln(x) = -kt + C, where C is an arbitrary integration constant.

Exponentiating both sides yields:

x = Ce^(-kt) 

where C may be calculated using the initial condition x(0) = x0:

x0 = Ce^(0)

C = x0

As a result, the radioactive material concentration as a function of time is given by:

x(t) = x0e^(-kt)

Euler's Method (Numerical Solution): Euler's method is a first-order numerical methodology for solving ordinary differential equations. Euler's approach approximates the solution at time t+h given an initial value x0 and a step size t+h as:

x(t+h) = x(t) + h(dx/dt).

where (dx/dt) is the rate of change of concentration at time t as determined by the differential equation:

dx/dt = -kx

When we plug this into the above equation, we get:

x(t+h) = x(t) − khx (t)

This equation may be used to compute the concentration of radioactive material at different periods repeatedly.

Plotting the Solutions: The concentration of the radioactive substance as a function of time may be displayed using the analytical solution and the numerical solution derived using Euler's approach. The figure will demonstrate how the material's concentration falls over time as it decays.

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The resulting graph is a circle with center at (-3,-1) and radius 3.

The graph of the equation (x+3)²+(y+1)²=9

is a circle with center at (-3,-1) and radius 3. The equation of a circle with center (a,b) and radius r is given by the equation (x-a)² + (y-b)² = r². By comparing the given equation with the standard equation of a circle, we can easily see that the center of the circle is (-3,-1) and the radius is 3. To graph a circle, we need to first plot the center of the circle, which is (-3,-1) in this case. Next, we need to mark the radius of the circle, which is 3 units. We can do this by measuring 3 units from the center in any direction and marking the point. Since the radius of the circle is the same in all directions, we can repeat this process for other directions to get points on the circumference of the circle. We can use a compass to make this process easier. After plotting a sufficient number of points, we can draw a smooth curve passing through all the points to obtain the graph of the circle.

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The year in which the two quantities will be equal is 2133.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Here we have the following data.

y=0.221x-368.264 For men

y=0.168x-255.196 for women

So when we will equate these two equation we will get the year in which two quantities will be same.

0.221x-368.264=0.168x-255.196

0.221x-0.168x=368.264-255.196

0.053x = 1123.068

x= 2133 year

Hence the year in which the two quantities will be equal is 2133.

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Answer:

x = 4

m<AXC = 150

Step-by-step explanation:

m<1 + m<2 = m<AXC

102 + 10x + 8 = 6(6x + 1)

10x + 110 = 36x + 6

26x = 104

x = 4

m<AXC = 6(6x + 1)

m<AXC = 6(24 + 1)

m<AXC = 150

Answer: A right triangle

Step-by-step explanation:

Answer:

c) $450,000

Step-by-step explanation:

The calculation of the cost of the walk-in program is shown below:-

Cost of the walk-in program = 1 ÷ 4 × Salaries + 1 ÷ 2 × (Rent + Depreciation) + 1 ÷ 5 × (Utilities)

= 1 ÷ 4 × $1,000,000 + 1 ÷ 2 × ($300,000 + $80000) + 1 ÷ 5 × $50,000

= $250,000 + $190,000 + $10,000

= $450,000

Therefore for computing the cost of the walk-in program we simply applied the above formula.

Answer: 25

Step-by-step explanation:

Answer:

Step-by-step explanation:

A statement that correctly compares the graph of function g with the graph of function f include the following: C. The graph of function g is a vertical compression of the graph of function f.

In Mathematics and Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.

Therefore, the dimension or side lengths of the dilated geometric object would be stretched or compressed (shrunk) depending on the scale factor that is applied.

When the parent function \(f(x) = e^x -4\) is vertically compressed by a scale factor of 1/2, the transformed function g(x) is given by the following equation;

g(x) = kf(x)

g(x) = 1/2f(x)

\(g(x) = \frac{1}{2} e^x -4\)

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Answer: r=11

Step-by-step explanation:

A=πr^2

A=121π

121π=πr^2

r^2=121

r=11

The probability that a mouse leaves first and then a bat is given as follows:

14/55.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

As the animal is not replaced, the probabilities for this problem are given as follows:

Hence the probability is given as follows:

4/11 x 7/10 = 2/11 x 7/5 = 14/55.

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Answer:

There are 40 students in the photography club.

Step-by-step explanation:

Given that:

Percent of people not going to art show = 15%

Number of people not going to art show = 6

Let,

x be the number of students in the photography club

15% of x = 6

\(\frac{15}{100}x=6\)

0.15x = 6

Dividing both sides by 0.15

\(\frac{0.15x}{0.15}=\frac{6}{0.15}\\x= 40\)

Hence,

There are 40 students in the photography club.

The ratio of the volume of water in Jug B to the volume of water in Jug C is 35:18.

Let's assume the volume of water in Jug B is x.

According to the given information, Jug A contains 6/7 as much water as Jug B. Therefore, the volume of water in Jug A can be calculated as (6/7) * x.

Similarly, Jug C contains 3/5 as much water as Jug A. Hence, the volume of water in Jug C can be expressed as (3/5) * [(6/7) * x].

To find the ratio of the volume of water in Jug B to the volume of water in Jug C, we divide the volume of water in Jug B by the volume of water in Jug C:

(x) / [(3/5) * (6/7) * x]

Simplifying the expression, we get:

x / (18/35 * x)

The x values cancel out, leaving us with:

1 / (18/35)

To simplify further, we multiply the numerator and denominator by the reciprocal of the denominator:

1 * (35/18)

The final ratio is:

35/18

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The measure of each angles a,b and c are 32°, 74°  and 74°  respectively.

What is triangle?
Three edges and three vertices define a triangle as a polygon. One of geometry's fundamental shapes is this one. The symbol for an ΔABC triangle is A, B, and C.
Any three points determine a distinct triangle and a distinct plane in Euclidean geometry when they are non-collinear (i.e. a two-dimensional Euclidean space). To put it another way, each triangle is contained in a plane, and there is only one plane that includes that particular triangle. All triangles are contained in one plane if and only if all geometry is the Euclidean plane, however this is no longer true in higher-dimensional Euclidean spaces. Except as otherwise specified, the subject of this article is triangles in Euclidean geometry, more specifically, the Euclidean plane.

Let angle b be x

Therefore angle c will also be  x [as given b and c are equal] and angle a will be x - 42°.
Now as we know that the sum of the measures of the angles of a triangle is 180° therefore,

x + x + x - 42° = 180°

=> 3x = 222°

=> x = 74°  which is angle b and c

and angle a is (74 - 42)°  =32°  

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Answer:The first goes to the first, the second to the third, the third to the fourth and the fourth to the second.

Step-by-step explanation:

Answer:

I think it would be (D)

Step-by-step explanation:

not (B) because it's decreasing

not (A) or (C) because it ain't look right to me

The required graph which has a slope of 2, is given as graph D. Option D is correct.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The slope of the Graph  1 is given as,

m = (y₂ - y₁) /  (x₂ - x₁)

m = 1 - 2/ 4-0
m = 1/ 4

Similarly,
Slope of the line
B, m = -1
C, m = 1
D, m = 2

Thus, the required graph which has a slope of 2, is given as graph D. Option D is correct.

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Answer:

factored for is the correct answer

The correct answer is Factored Form & (0,-24) as the Y-Intercept

Answer:

Step-by-step explanation:

Let's assume Kylie's current age to be x.

According to the problem, Laila is 10 years older than Kylie, so her current age would be (x + 10).

Seventeen years ago, Laila's age would have been (x + 10 - 17) = (x - 7), and Kylie's age would have been (x - 17).

The problem also states that Laila's age 17 years ago was triple Kylie's age 17 years ago, so we can set up the equation:

(x - 7) = 3(x - 17)

Solving for x, we get:

x - 7 = 3x - 51

2x = 44

x = 22

Therefore, Kylie's current age is x = 22, and Laila's current age is (x + 10) = 32.

So, Laila is currently 32 years old and Kylie is currently 22 years old.

Answer:

Laila is currently 32 years old.

Kylie is currently 22 years old.

Step-by-step explanation:

To find the current ages of Laila and Kylie, create and solve a system of linear equations using the given information.

Define the variables:

Given Laila is 10 years older than Kylie:

Given 17 years ago, Laila was triple Kylie's age:

Substitute the first equation into the second equation and solve for K:

⇒ (K + 10) - 17 = 3(K - 17)

⇒ K - 7 = 3K - 51

⇒ K - 7 - K = 3K - 51 - K

⇒ -7 = 2K - 51

⇒ -7 + 51 = 2K - 51 + 51

⇒ 44 = 2K

⇒ 44 ÷ 2 = 2K ÷ 2

⇒ K = 22

Substitute the found value of K into the first equation and solve for L:

⇒ L = K + 10

⇒ L = 22 + 10

⇒ L = 32

Therefore, Laila is currently 32 years old and Kylie is currently 22 years old.

The inverse of the given function is: f⁻¹(x) = 4x² - 3 for x ≤ 0

The inverse of a function is defined as a function that serves to undo another function. That is, if f(x) produces y, then putting y into the inverse of f' produces the output x. A function f' that has an inverse is referred to as invertible and the inverse is denoted by f⁻¹.

The given function is:

f(x) = -¹/₂√(x + 3)

To find the inverse of the function we replace the value of x and y and then find y in terms of x which is the inverse of the function.

Let f(x) = y

Thus:

x = -¹/₂√(y + 3)

Multiply both sides by -2 to get:

-2x = √(y + 3)

Square both sides to get:

4x² = y + 3

y = 4x² - 3

Thus, the inverse of the function is:

f⁻¹(x) = 4x² - 3 for x ≤ 0

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Answer:

\(\boxed {\boxed {\sf 15}}\)

Step-by-step explanation:

Distance is calculated using this formula:

\(d=\sqrt {(x_2-x_2)^2+(y_2-y_1)^2\)

where (x₁, y₁) and (x₂, y₂) are the points. We are given (-3,8) and (-3,7). Therefore;

\(x_1= -3 \\y_1= 8 \\x_2= -3 \\y_2= -7\)

Substitute the values into the formula.

\(d= \sqrt {(-3--3)^2+(-7-8)^2\)

Solve inside the parentheses.

\(d= \sqrt {(0)^2+(-15)^2\)

Solve the exponents.

\(d=\sqrt {0+225\)

\(d=\sqrt {225\)\(d= \pm 15\)

A negative number for distance doesn't make sense, so the distance must be 15.

Answer: f(x)=(x+(-6))²+(-65)

Step-by-step explanation:

f(x)=x²-12x-29

f(x)=x^2-2(x)(6)+6^2-6^2-29

f(x)=x^2-12x+6*6-6*6-29

f(x)=x^2-12x+36-36-29

f(x)=(x-6)²-65

f(x)=(x+(-6))²+(-65)

Answer:

(x-6)^2-65

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