-3 (10b + 10) +5 (b+2) I need help with this

You have a number expresed as units, tens, hundreds and thosands and need to determine which number they form.

> 30 ones refers that this number has 30 units, it can laso be expresed as 3 tens.

> 2 thousands is equal to 2000

> 4 hundreds is equal to 400

> 60 ten, to determine this number you have to multiply 60 by 10 = 600

> 100 hundreds, means that you have 100 times one hundred, 100*100= 10000

Add all numbers: 30 + 2000 + 400 + 600 + 10000= 13030

Answer: \(x=\frac{-3}{k}\)

Step-by-step explanation:

To solve for x, you need to get x alone. In this problem, k is a constant.

\(kx=-3\)

\(x=\frac{-3}{k}\)

The number of centimetres in the 1 yard will be 9.144 cm.

Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.

Given that:-

Metric System Units

1 inch = 2.54 centimetres

1 foot = 0.3048 meters

1 mile = 1.61 kilometres

1 yard = 3 feet

1 yard = 36 inches

First, we will calculate 1 yard to feet.

1 yard = 3 feet

1 feet = 0.3048 meters

1 feet = 3.048 centimeters

1 yard = 3 x 3.048 centimeters

1 yard = 9.144 centimeters

Hence, the length of 1 yard in cm is 9.144 cm.

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To split a sentence into two simple sentences, first, highlight the clauses while dividing sentences. When necessary, add subjects or other words in place of subordinating liners to make sub-clauses autonomous.

In the given question we have to explain how we split a sentence into two simple sentences.

As we know that;

A basic sentence typically consists of a subject, a verb, and maybe an object and modifiers. It only has one independent clause, though. Here are a few illustrations: She composed.

First, highlight the clauses while dividing sentences. When necessary, add subjects or other words in place of subordinating liners to make sub-clauses autonomous.

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Answer:

Yes

Step-by-step explanation:

Anything muliplied by zero end up equalling zero. So with this in mind we can put 0 in for x and find out what each eqautian equals.

2(0) + 6(0) = 0; Once we multiply both sides we end up adding 0 and 0, so it equals 0

9(0) = 0

Since, 0 = 0 they are both equal.

Hope this helps!

The area of the polygon is solved to be  1044 squared cm

The area of the composite polygon is solved by dividing the object into two sections. Then adding up the areas

Section 1 has dimensions:

length * width = 46 * 14 = 644

section 2 has dimensions:

length = 46 - 21 = 25

width = 30 - 14 = 16

Area = 25 * 16 = 400

Area of the composite figure

section 1  + section 2

= 644 + 400

= 1044 squared cm

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Answer:

AG = 10

GD = 5

CD = 12

Step-by-step explanation:

Centroids divide a median (like AD) into two segments that are in a 2:1 ratio. That's the centroid's special power. So if AD is a total of 15 units long, then dividing it into two segments in a 2:1 ratio means the long side is 10 and the short side is half that, or 5, which checks out because 10+5 = 15.

Now you have GD = 5, and you also know that angle GDC is 90 degrees, so you know triangle GDC is a right triangle, which means it obeys the Pythagorean Theorem.

so CD² + GD² = CG²

so CD² + 25 = 169

CD² = 144

CD = 12

Answer:

It depends on your situation

Step-by-step explanation:

If you have a mixed fraction, for example: 5 23/3000 + 101 777/3000 you would have to make them irrational numbers and add them. Like so: 3000x5 = 15000. 15000+23 = 15023.  15023/3000. Same process but this time you get 303777/3000. You then add the numerators (top numbers) and you'll get the sum over 3000.

For regular fractions you simply add the numerators. If your denominators are not the same, you need to find a common term that both can fit into. If the denominators are not the same, no matter the size of the fraction, you cannot add it.

Answer:

5, 240

Step-by-step explanation:

Answer:

g(3)=-14

Step-by-step explanation:

g(3)=-5x3+1

g(3)=-15+1

g(3)=-14

hope this helped

Answer: -14

Step-by-step explanation: -5x3 is -15 add a positive 1 and you get 14

Answer: He made $612 for sold 204 erasers this week.

Step-by-step explanation:

Answer:

$600

Step-by-step explanation:

The best model for metronome is a rectangular pyramid.

The approximate surface area is: 500 cm².

The surface area of a rectangular pyramid = lw + l ×√[(w/2)² + h²] + w×√[(l/2)² + h²], where:

The diagram of the metronome is a: rectangular pyramid.

Given the following:

l = 9 cm

w = 11

h = 20

Surface area of a rectangular pyramid = (9)(11) + 9 ×√[(11/2)² + 20²] + 11×√[(9/2)² + 20²]

= 511.18222

Therefore, the approximate surface area is: 500 square centimeters.

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Answer: it is 500 but a metronome is a square prism and that is the right answer on edmentum, not rectangular.

Step-by-step explanation:

Step-by-step explanation:

a) The test statistic is (4.4-4)/(1.3/sqrt(70)) = 2.83. The p-value is 0.0023. Since the p-value is less than 0.05, we reject the null hypothesis.

b) The test statistic is (5.3-4.4)/sqrt((1.4^2/106)+(1.3^2/70)) = 4.09. The p-value is less than 0.0001. Since the p-value is less than 0.05, we reject the null hypothesis.

Answer:

16

Step-by-step explanation:

6x+k = 0

x = -k/6

3x-11 = 0

x = 11/3

-k/6 + 11/3 = 1

k - 22 = -6

k = 16

Answer:

→ 16

Step-by-step explanation:

Answer:

third option

Step-by-step explanation:

\( \frac{16 {x}^{2} }{4x + 24} \div \frac{8 {x}^{2} - 40x}{ {x}^{2} - 36} \\ = \frac{16 {x}^{2} }{4(x + 6)} \times \frac{(x + 6)(x - 6)}{8x(x - 5)} \\ = \frac{16 {x}^{2} }{4} \times \frac{x - 6}{8x(x - 5)} \\ = \frac{x}{1} \times \frac{x - 6}{2(x - 5)} \\ = \frac{x(x + 6)}{2x - 10} \)

hope it helped

pls mark BRAINLIEST

thanks

Answer:

Y = ×+ 4 a 75 VBC

I HOPE ITS HELP

In the real world, the zeros interpreted in Quadratic function, height of an object and business  and vertex interpreted in manufacturing and physics

Zeros (Roots or X-Intercepts):

Zeros of a quadratic function represent the points where the graph intersects the x-axis. In real-world applications, the zeros of a quadratic function often have meaningful interpretations. For example:

If the quadratic function represents the height of an object thrown into the air as a function of time, the zeros represent the points in time when the object hits the ground.

In business or finance, the zeros can represent the solutions to problems involving revenue, cost, or profit, such as finding the break-even points or the points where profit becomes zero.

Vertex:

The vertex of a quadratic function represents the highest or lowest point on the graph, depending on whether the parabola opens upward or downward. The vertex is also known as the maximum or minimum point. In real-world applications, the vertex of a quadratic function can have various interpretations:

If the quadratic function represents the trajectory of a projectile, the vertex represents the highest point reached by the object.

In manufacturing or production processes, the vertex can represent the optimal value that maximizes or minimizes a certain output, such as maximizing profit or minimizing cost.

In physics, the vertex can represent the equilibrium point or the stable state of a system.

Overall, the zeros and the vertex of a quadratic function provide insights into key features and solutions in real-world scenarios. They allow us to understand critical points, make predictions, optimize processes, and solve various problems across different fields of study and applications.

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The total cost of Kayla's purchase of 0.1 pounds of medium binder clips and 0.2 pounds of jumbo binder clips is $1.20.

To calculate the total cost, we need to determine the cost of each type of binder clip separately and then sum them up.

The cost of medium binder clips is $5 per pound, and Kayla purchased 0.1 pounds. Therefore, the cost of medium binder clips is 0.1 pounds * $5 per pound = $0.50.

The cost of jumbo binder clips is $6 per pound, and Kayla purchased 0.2 pounds. Thus, the cost of jumbo binder clips is 0.2 pounds * $6 per pound = $1.20.

Finally, to find the total cost, we add the individual costs together: $0.50 + $1.20 = $1.70.

Therefore, the total cost of Kayla's purchase of 0.1 pounds of medium binder clips and 0.2 pounds of jumbo binder clips is $1.70.

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(a) After 375 days, the power available in the satellite is 5.76 W.(b) The half-life of the power supply is 173.6 days. (c) The satellite can stay in operation for about 623 days. (d) The power the satellite had to begin with was 50 W.(e) The rate of change of power output is given by P' = -0.004P. This means that the power output is decreasing at a rate of 0.4% per day.

Given that, P = 50e^{-0.004t}Here, t is in days.

(a) Power after 375 days, we need to find P(375)P(t) = 50e^{-0.004t}P(375) = 50e^{-0.004 * 375}P(375) = 5.76 W

Therefore, the power after 375 days is 5.76 W.

(b) Half-life of the power supplyP(t) = 50e^{-0.004t}P(2t) = 50e^{-0.004*2t}

We know that after half-life, the power is reduced to half of the initial power, that is,

P(2t) = P(0)/2So, 50e^{-0.004*2t} = 50/2e^{-0.004*0}2e^{-0.004t} = 1e^{-0.004t} = 1/2t = ln(1/2)/(-0.004)t = 173.6 days

Therefore, half-life of the power supply is 173.6 days.

(c) How long can the satellite stay in operation?P(t) = 50e^{-0.004t}

From the given, the equipment cannot operate below 10 W.

So, 50e^{-0.004t} = 10e^{-0.004t/375*t = 623.3 days

Therefore, the satellite can stay in operation for about 623 days.

(d) Power the satellite had to begin withP(t) = 50e^{-0.004t}

Initial power is the power when t = 0.P(0) = 50e^{-0.004 * 0}P(0) = 50 W

Therefore, the power the satellite had to begin with was 50 W.

(e) The rate of change of the power output

P' = dP/dt = -0.004P = -0.004(50e^{-0.004t}) = -0.2e^{-0.004t}

The rate of change of the power output is decreasing at a rate of 0.4% per day.

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Here's a more detailed explanation: To determine if a graph is a function, you can use the vertical line test. The vertical line test states that if you can draw a vertical line that intersects the graph in more than one place, then the graph is not a function.

Determining whether a graph represents a function is an important concept in mathematics, especially in algebra and calculus. A function is a set of ordered pairs where each input is associated with exactly one output.

So, if you take a ruler or a straight edge and place it vertically on the graph, and it intersects the graph in two or more points, then the graph is not a function. This is because if two points in the graph have the same x-value, they must have different y-values, since functions can only have one output for each input.

On the other hand, if you place a vertical line anywhere on the graph and it intersects the graph in only one point, then the graph is a function.

It's also important to remember that a function must also pass the horizontal line test, which means that no horizontal line can intersect the graph in more than one place.

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1) Given

2) Segment addition postulate

3) Substitution property

4) Segment addition postulate

5) Transitive property of equality

The values of x and y that maximize utility 2 and 8 respectively. To show that the ratio of marginal utility to price is the same for x and y, we need to compare the expressions (dU/dx) / (Px) and (dU/dy) / (Py).

To maximize utility subject to the budgetary constraint, we can use the method of substitution. Let's solve the problem step by step:

(a) Maximizing Utility:

Given the utility function U = ln(x\(y^2\)) and the budgetary constraint 6x + 3y = 36, we can begin by solving the budget constraint for one variable and substituting it into the utility function.

From the budget constraint:

6x + 3y = 36

Rearranging the equation:

y = (36 - 6x)/3

y = 12 - 2x

Now, substitute the value of y into the utility function:

U = ln(x\((12 - 2x)^2\))

U = ln(x(144 - 48x + 4\(x^2\)))

U = ln(144x - 48\(x^2\) + 4\(x^3\))

To find the maximum utility, we differentiate U with respect to x and set it equal to zero:

dU/dx = 144 - 96x + 12\(x^2\)

Setting dU/dx = 0:

144 - 96x + 12\(x^2\) = 0

Simplifying the quadratic equation:

12\(x^2\) - 96x + 144 = 0

\(x^2\) - 8x + 12 = 0

(x - 2)(x - 6) = 0

From this, we find two possible values for x: x = 2 and x = 6.

To find the corresponding values of y, substitute these x-values back into the budget constraint equation:

For x = 2:

y = 12 - 2(2) = 12 - 4 = 8

For x = 6:

y = 12 - 2(6) = 12 - 12 = 0

So, the values of x and y that maximize utility subject to the budgetary constraint are x = 2, y = 8.

(b) Ratio of Marginal Utility to Price:

To show that the ratio of marginal utility to price is the same for x and y, we need to compare the expressions (dU/dx) / (Px) and (dU/dy) / (Py), where Px and Py are the prices of x and y, respectively.

Taking the derivative of U with respect to x:

dU/dx = 144 - 96x + 12\(x^2\)

Taking the derivative of U with respect to y:

dU/dy = 0 (since y does not appear in the utility function)

Now, let's calculate the ratio (dU/dx) / (Px) and (dU/dy) / (Py):

(dU/dx) / (Px) = (144 - 96x + 12\(x^2\)) / Px

(dU/dy) / (Py) = 0 / Py = 0

As Px and Py are constants, the ratio (dU/dx) / (Px) is independent of x. Thus, the ratio of marginal utility to price is the same for x and y.

This result indicates that the consumer is optimizing their utility by allocating their budget in such a way that the additional utility derived from each unit of expenditure is proportional to the price of the goods.

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Answer:

0.07142857142

Step-by-step explanation:

3/6=0.5 divided by 7

To eliminate the roots in 1.1 and 1.2, we can use trigonometric substitution. In 1.1, we can substitute x = 4 sin(theta) to eliminate the root of 4. In 1.2, we can substitute z = 7 sin(theta) to eliminate the root of 7.

1.1. V64+2 + 1 We can substitute x = 4 sin(theta) to eliminate the root of 4. This gives us:

V64+2 + 1 = V(16 sin^2(theta) + 2 + 1) = V16 sin^2(theta) + V3 = 4 sin(theta) V3 1.2. V4z2 – 49

We can substitute z = 7 sin(theta) to eliminate the root of 7. This gives us:

V4z2 – 49 = V4(7 sin^2(theta)) – 49 = V28 sin^2(theta) – 49 = 7 sin(theta) V4 – 7 = 7 sin(theta) (2 – 1) = 7 sin(theta)

Here is a more detailed explanation of the substitution:

In 1.1, we know that the root of 4 is 2. We can substitute x = 4 sin(theta) to eliminate this root. This is because sin(theta) can take on any value between -1 and 1, including 2.

When we substitute x = 4 sin(theta), the expression becomes V64+2 + 1 = V(16 sin^2(theta) + 2 + 1) = V16 sin^2(theta) + V3 = 4 sin(theta) V3

In 1.2, we know that the root of 7 is 7/4. We can substitute z = 7 sin(theta) to eliminate this root. This is because sin(theta) can take on any value between -1 and 1, including 7/4.

When we substitute z = 7 sin(theta), the expression becomes: V4z2 – 49 = V4(7 sin^2(theta)) – 49 = V28 sin^2(theta) – 49 = 7 sin(theta) V4 – 7 = 7 sin(theta)

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Answer:

x is equal to -3. So it would be g(-3)=4(-3)+3 and the solve that.

Step-by-step explanation:

Hope this is helpful

For events A and B to be independent, the condition that must be true is:
P(A ∩ B) = x * y

The correct condition that must be true if events A and B are independent is:

P(A ∩ B) = P(A) x P(B).

where P(A) is the probability of event A, P(B) is the probability of event B, and P(A ∩ B) is the probability of both events A and B occurring together.

In other words, if events A and B are independent, then the probability of both events occurring together is equal to the product of their individual probabilities.

When two events A and B are independent, the following condition must be true:
P(A ∩ B) = P(A) * P(B)
In your case, the probability of event A is x, and the probability of event B is y.

Therefore, the correct answer is:

P(A ∩ B) = x*y

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The statement "NOT(MyAge > YourAge)" is true if MyAge is not greater than YourAge, which is not the case in this scenario because 30 is less than 40.

Therefore, option (a) is false.

The statement "MyAge >= YourAge" is also false because MyAge (30) is less than YourAge (40). Therefore, option (b) is also false.

Option (c) states that none of the above statements are true, which is also false because statement (a) is false.

Option (d) is irrelevant because it compares the values of MyAge and YourAge with string values, which is not the correct way to compare integers. Therefore, option (d) is also false.

The correct answer is (c) None of the above are a true statement.

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Step-by-step explanation:

AC =18 (ac = bd opposite sides of a rectangle)

AB= 40(AB = CD)

AD = 22 ( ad = cb diagonals of a rectangle)

The larger container will hold 500 ounces of soup when filled.

We know that the formula for the volume of cylinder is: V = πr²h

Let us assume that for the smaller container, d₁ represents the diameter, r₁ represents the radius, h₁ represents the height of the container and v₁ represents the volume of the container.

So, using above formula, the volume of the smaller container would be,

v₁ = π × r₁² × h₁

10 = π × r₁² × h₁

For the larger container, d₂ represents the diameter, r₂ represents the radius, h₂ represents the height of the container and v₂ represents the volume of the container.

Using above formula, the volume of the larger container would be,

v₂ = π × r₂² × h₂

The larger container’s diameter is 5​ times larger than the small container’s diameter.

so, we get an equation

⇒ d₂ = 5d₁

⇒ r₂ = 5r₁

Also, the lrger container is 2​ times taller than the small container.

⇒ h₂ = 2h₁

Consider the ratio of volume of larger cotainer to the volume of smaller container.

v₁/v₂ =  (π × r₁² × h₁) / ( π × r₂² × h₂)

10/v₂ =  (r₁² × h₁) / ( (5r₁)² × (2h₁))

10/v₂ =  (r₁² × h₁) / ( 50 × r₁² × h₁)

10/v₂ = 1/50

v₂ = 500 ounces

which is 50 times more than the smaller container.

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The complete question is:

At a farmer’s market, a vendor sells soup that comes in two different-sized containers, both shaped like cylinders. When the small container is filled, it holds10​ ounces of soup. The larger container’s diameter is 5​ times larger than the small container’s diameter, and it is 2​ times taller than the small container. How many ounces of soup will the larger container hold when filled?