find the volume of cuboid
meausring 19 cm by 15 cm by 10 cm.​

Answer:

yes

explanation

9*5=45

z=3

45+3=48

Answer: The linear function is represented by f(x) = (4x/3) + 12

Step-by-step explanation: Taking a linear function's equation pattern to be the graph of y = ax + b, plot the sollutions for such:

(8) = (-3)a + b, and similarly: (-4) = 6a + b, solving for that will lead to a = (4/3) and b = (12), thus: f(x) = (4x/3) + 12.

Arc PR is half a circle, which is 180 degrees.

Arc PS + Arc SR = 180

Arc PS + 16 = 180

Arc PS = 180 - 16

Arc PS = 164°

The length of an arc is given by the formula,

Where

θ is the degree measure of the arc

r is the radius of the circle

Given

θ (Arc PS) = 164

r = TR = 9

Let's calculate length of PS:

Rounding the answer to the nearest tenth,

Answer

The solution to the System of equations is (x,y) = (4,-3).

We are given two equations:

3y + 13 = x (Equation 1)

5x + 4y = 8 (Equation 2)

We can use Equation 1 to express x in terms of y by subtracting 3y from both sides and then subtracting 13 from both sides:

x = 3y + 13 (Equation 3)

We can then substitute Equation 3 into Equation 2 in place of x:

5(3y + 13) + 4y = 8

Simplifying and solving for y, we get:15y + 65 + 4y = 8

19y = -57

y = -3

Now that we have the value of y, we can substitute it into Equation 3 to find the corresponding value of x:x = 3y + 13 = 3(-3) + 13 = 4

Therefore, the solution to the system of equations is (x,y) = (4,-3).

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Answer: the answer is 6

Step-by-step explanation:

Answer:

p-(-Q)

Step-by-step explanation:

Because the thing goes down and i got it correct for that answer your welcome

If you have a set of discrete data and are constructing a frequency table where the first class is 10-15 then the 3rd class will be b. 20-25.

The correct answer is option b. 20-25.

When constructing a frequency table, the classes should have the same width and should not overlap. In this case, the first class is 10-15, which has a width of 5 (15-10=5). Therefore, the second class should have the same width and should not overlap with the first class.

The second class will be 16-20, and the third class will be 21-25. However, since the classes are inclusive on the lower end and exclusive on the upper end, the third class will be written as 20-25.

Therefore, the correct answer is option b. 20-25.

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Answer:

greater than 3·30

370%=3.7

3.7×30= 111

3×30=90

111>90

I hope this helps:

Answer:

b

Step-by-step explanation:

I double checked, its b

The value of x in the triangle is 48.37 units.

In Mathematics and Geometry, Pythagorean's theorem is modeled or represented by the following mathematical equation:

c² = a² + b²

Where:

a, b, and c are the side lengths of a right-angled triangle.

In order to determine the length of side x or side length x, we would have to apply Pythagorean's theorem as follows;

c² = a² + b²

58² = x² + 32²

x² = 3364 - 1024

x² = √2340

x = 48.37 units.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

If boat is heading towards a lighthouse, whose beacon-light is 142 feet above the water, the distance from point A to point B is approximately 226.6 feet.

To find the distance from point A to point B, we can use the tangent function. Let x be the distance between point A and the lighthouse, and let y be the distance between point B and the lighthouse. We can then set up two equations based on the angles of elevation:

tan(13°) = 142/x

tan(20°) = 142/y

Solving for x and y, we get:

x = 142/tan(13°) ≈ 627.8 feet

y = 142/tan(20°) ≈ 401.2 feet

The distance between point A and point B is the difference between x and y:

x - y ≈ 226.6 feet

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Complete question is:

A boat is heading towards a lighthouse, whose beacon-light is 142 feet above the water. From point A, the boat’s crew measures the angle of elevation to the beacon, 13 degree, before they draw closer. They measure the angle of elevation a second time from point B at some later time to be 20 degrees . Find the distance from point A to point B. Round your answer to the nearest foot if necessary.

The correct graph would be a straight line with a slope of 45 and passing through the origin (0, 0).

We have,

The graph that models the cost, y, in cents of making x minutes of international calls would be a linear graph, as the cost is directly proportional to the number of minutes.

The equation of the linear graph would be:

y = 45x

Here, y represents the cost in cents, and x represents the number of minutes.

Therefore,

The correct graph would be a straight line with a slope of 45 and passing through the origin (0, 0).

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The volume of the cone is 1960.64 cubic yards.

We have,

The formula for the volume of a cone is:

V = (1/3)πr²h

where π is approximately 3.14, r is the radius, and h is the height.

Substituting the given values, we get:

V = (1/3) x 3.14 x 12² x 13

V = (1/3) x 3.14 x 144 x 13

V = 1/3 x 3.14 x 1872

V = 1960.64

Rounding to the nearest hundredth, we get:

V = 1960.64

Therefore,

The volume of the cone is 1960.64 cubic yards.

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The linear inequality that represented by the graph is given as follows:

y < -4x/3 + 5.

The inequality is represented by a line, which has the following format:

y = mx + b.

In which the coefficients of the equation of the line are listed as follows:

The two points of the line are given as follows:

(0,5) and (3,1).

Hence the intercept is:

b = 5.

The slope is given by the change in y divided by the change in x, hence it is of:

m = (1 - 5)/(3 - 0) = -4/3.

Hence the line is:

y = -4x/3 + 5.

The inequality is below the shaded line, hence it is:

y < -4x/3 + 5.

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Answer:

y < -4/3x + 5.

Step-by-step explanation:

Answer:

the woodpecker was 7m above the ground

The height where the bird pecked is 7m above the ground.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, A woodpecker pecked at a 17 m wooden pole until it cracked and the upper part fell with the top hitting the ground 10 m from the foot of the pole.

Therefore, If the length of the pole that fell down is 10m then the length of the remaining pole is,

= (17 - 10)m.

= 7m.

So, The bird pecked away where the pole had cracked is 7m.

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Remember that

c^2=a^2+b^2

therefore

Is always true

c>a and c>b

Answer:

The directional derivative of f at (0, 1) in the direction of theta = pi/3 is sqrt(3)/2.

Step-by-step explanation:

To find the directional derivative of f at (0, 1) in the direction of theta = pi/3, we need to compute the dot product of the gradient of f at (0, 1) and the unit vector u in the direction of theta.

First, we need to find the gradient of f:

∇f(x, y) = <∂f/∂x, ∂f/∂y>

= <-y sin(xy), cos(xy) - xy sin(xy)>

Evaluating at (0, 1), we get:

∇f(0, 1) = <0, 1>

Next, we need to find the unit vector u in the direction of theta = pi/3:

u = <cos(pi/3), sin(pi/3)>

= <1/2, sqrt(3)/2>

Now we can compute the directional derivative:

D_u f(0, 1) = ∇f(0, 1) · u

= <0, 1> · <1/2, sqrt(3)/2>

= sqrt(3)/2

Therefore, The directional derivative of f at (0, 1) in the direction of theta = pi/3 is sqrt(3)/2.

of f at (0, 1) in the direction of theta = pi/3 is sqrt(3)/2.

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Answer:

259.5

Step-by-step explanation:

8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5

The particular antiderivative that satisfies the given condition is: C(x) = (4/9)x^4 - (9/8)x^3 + K1x + 2000

To find the particular antiderivative (or integral) of the given derivative \(C''(x) = 4x^2 - 3x\)  that satisfies the condition C(0) = 2000, we need to integrate the given function twice.

First, we integrate C''(x) to find C'(x):

\(C'(x) = ∫ (4x^2 - 3x) dx\)

To find the antiderivative of \(4x^2\), we use the power rule for integration: the power of x increases by 1 and is divided by the new power. Similarly, the antiderivative of -3x is \(-(3/2)x^2\).

\(C'(x) = ∫ (4x^2 - 3x) dx = (4/3)x^3 - (3/2)x^2 + K1\)

Here, K1 is the constant of integration. Next, we integrate C'(x) to find C(x):

\(C(x) = ∫ (C'(x)) dx = ∫ ((4/3)x^3 - (3/2)x^2 + K1) dx\)

To find the antiderivative of \((4/3)x^3\), we again use the power rule for integration. Similarly, the antiderivative of \(-(3/2)x^2\) is \(-(3/2)(1/3)x^3\).

The constant of integration K1 will also be integrated with respect to x, resulting in another constant of integration, K2.

\(C(x) = (1/3)(4/3)x^4 - (1/2)(3/2)x^3 + K1x + K2\)

Simplifying further, we have:

\(C(x) = (4/9)x^4 - (9/8)x^3 + K1x + K2\)

Now, we can apply the initial condition C(0) = 2000 to find the particular solution for K2:

\(C(0) = (4/9)(0)^4 - (9/8)(0)^3 + K1(0) + K2 = 2000\)

Since all the terms involving x become zero when x = 0, we have:

K2 = 2000

Therefore, the particular antiderivative that satisfies the given condition is: \(C(x) = (4/9)x^4 - (9/8)x^3 + K1x + 2000\)

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The experimental probability of rolling a number less than 3 is 0.11 or 11% when rolling a 12-sided solid numbered from 1 to 12, based on the provided data.

The number of faces that are numbered less than 3 on a 12-sided solid is 2, i.e., 1 and 2. Therefore, the probability of rolling a number less than 3 can be calculated by adding the frequencies of rolls that resulted in 1 and 2, and then dividing the sum by the total number of rolls.

From the table, we can see that the frequency of rolling a 1 is 10 and the frequency of rolling a 2 is 12. Therefore, the total frequency of rolling a number less than 3 is 10 + 12 = 22.

The total number of rolls is 200.

The experimental probability of rolling a number less than 3 is the frequency of rolling a number less than 3 divided by the total number of rolls:

Experimental probability = Frequency of rolling a number less than 3 / Total number of rolls

Experimental probability = 22 / 200

Experimental probability = 0.11

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Answer:

25000 mg.

Step-by-step explanation:

There are 1000 mg per gram.  If we multiply 1000*25 we will get 25000 mg of sugar.

Christopher needs to create so that his time spent will be the same as his current time, the equation could be: 2.4x = 1.2x + 15

Answer:

The equation is 2.4x = 1.2x + 15.

The Website pages is 13.

Step-by-step explanation:

Answer:

FHG is 45 degrees

Step-by-step explanation:

For a square, each of the angles at the corners measure 90 degrees

Also, the two diagonals are equal and they bisect one another

Also, the diagonals bisect each of the angles at the corners making each angle lying in each triangle to be 45 degrees, thereby creating 4 isosceles right triangles

For FHG, looking at the triangle FHG, FG and GH are equal lengths as we have an isosceles right triangle

An isosceles right triangle is only possible when the two internal angles asides the right triangle are 45 degrees each

What this mean is that FHG measure is 45 degrees

The equation of the plane that passes through (1, 3, 6) and is parallel to x = 11 is x = 1.

An algebraic expression is a mathematical phrase that can contain numbers, variables, and operations (such as addition, subtraction, multiplication, and division). It represents a value that can be determined if the values of the variables are known. An algebraic expression does not contain an equal sign and cannot be solved like an equation, but it can be simplified or manipulated using algebraic rules. For example, the expression 2x + 3y is an algebraic expression, where x and y are variables.

A plane can be represented by a normal vector (a,b,c) and a point (x⁰,y⁰,z⁰) that lies on the plane. If a plane is parallel to the plane x = 11, the normal vector must be in the direction of the x-axis, meaning (a,b,c) = (1,0,0).

The equation of the plane can then be found using the point-normal form, which is given by:

ax + by + cz = d, where d = ax⁰ + by⁰ + cz⁰

Plugging in the values for (1,3,6) and (a,b,c) = (1,0,0), we get:

a(1) + b(3) + c(6) = d

1 + 0 + 0 = d

d = 1

So the equation of the plane that passes through (1,3,6) and is parallel to x = 11 is: x = 1

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To find the probability of getting a sum of eight when two dice are rolled, we need to determine the number of favorable outcomes (sum of eight) and the total number of possible outcomes.

When rolling two dice, the possible outcomes for each die range from 1 to 6. To get a sum of eight, we can have the following combinations:
- (2, 6)
- (3, 5)
- (4, 4)
- (5, 3)
- (6, 2)

This gives us a total of 5 favorable outcomes.

The total number of possible outcomes when rolling two dice is 6 multiplied by 6, which equals 36.

Therefore, the probability of getting a sum of eight is given by the fraction: favorable outcomes / total outcomes = 5 / 36.

Converting this fraction to a decimal, we get approximately 0.1389 (rounded to four decimal places).

So, the probability of getting a sum of eight when two dice are rolled is approximately 0.1389.

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It will take approximately 27 years to accumulate $100,000 in the savings account.

To calculate the time required, we can use the future value of an ordinary annuity formula. In this case, the annuity is the annual savings of $1,300, the interest rate is 5%, and the desired future value is $100,000. By plugging these values into the formula, we can solve for the number of periods (years) it will take to reach the target amount.

The formula is:

FV = P * ((1 + r)^n - 1) / r

Where FV is the future value, P is the annual payment, r is the interest rate, and n is the number of periods. Rearranging the formula to solve for n, we have:

n = log((FV * r / P) + 1) / log(1 + r)

Substituting the given values, we get:

n = log((100000 * 0.05 / 1300) + 1) / log(1 + 0.05)

Evaluating this expression, we find that n is approximately equal to 27. Therefore, it will take approximately 27 years to accumulate $100,000 in the savings account by saving $1,300 annually at an interest rate of 5%.

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Answer: Jonah will receive RI2 720 each month after deductions.

Step-by-step explanation:To find Jonah's salary after deductions, we need to calculate the total amount of deductions first.

Tax deduction: RI3 200 * 12% = RI3 200 * 0.12 = RI384.

ULF deduction: RI3 200 * 1% = RI3 200 * 0.01 = RI32.

Pension deduction: RI3 200 * 2% = RI3 200 * 0.02 = RI64.

Total deductions: RI384 + RI32 + RI64 = RI480.

So, Jonah's salary after deductions: RI3 200 - RI480 = RI2 720.

Therefore, Jonah will receive RI2 720 each month after deductions.

Answer:

\(\sqrt {27}\) and \(\sqrt {38}\)

The answer is root of 27 and 38

square root of 24 = sqrt 4 × sqrt 6 = 2 root 6

square root of 32 = sqrt 16 × sqrt 2 = 4 root

square root of 27 = sqrt 9 × sqrt 3

square root of 38 = sqrt 19 × sqrt 2

square root of 27 and 38 can't be simplified

Assuming each round is independent and has a 50-50 chance of winning or losing, the expected value of your total winnings is $0 and the standard deviation is $3.

Since the probability of winning and losing is equal, the expected value of each round is \((0.5 * $6) - (0.5 * $3) = $1.5 - $1.5 = $0\). Therefore, the expected value of your total winnings over three rounds is $0 x 3 = $0. To calculate the standard deviation, we can use the formula:

Standard deviation = square root of (variance)

Variance = (standard deviation)^2

\(Variance = (3 * ($6 - $3)^2) = 27\)

\(Standard deviation = \sqrt{27} = $3\)

This means that, on average, you can expect to break even over three rounds. However, the standard deviation indicates that there is a significant amount of variability in your potential winnings, with a range of possible outcomes from losing all three rounds to winning all three rounds.

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