Type in the power of ten that completes this number sentence.



200,000,000 = 10

giving ya'll all my pointss

Step-by-step explanation:

Area of a triangle = 1/2 base leg  * height

                area =  1/2 * 9 * 6 = 27 cm^2

Answer: 27 cm²

Step-by-step explanation:

     To find the area of the base of this right triangular prism we can use the area formula for a triangle. Make sure you are using the correct base (b) and height (H) in the formula that apply to the base triangle.

Given:

   A = \(\frac{bH}{2}\)

Substitute known values:

   A = \(\frac{(9\;cm)(6\;cm)}{2}\)

Multiply:

   A = \(\frac{54\;cm^2}{2}\)

Divide:

   A = 27 cm²

To determine the number of units that should be ordered, we need to consider the lead time, demand, and the desired probability of not stocking out.

1. First, let's calculate the demand during the lead time. Since the lead time is 7 days and the average daily demand is 20 units, the demand during the lead time is 7 days * 20 units/day = 140 units.

2. Next, we calculate the safety stock needed to achieve the 95% probability of not stocking out. The safety stock is the product of the standard deviation and the Z-score corresponding to the desired service level. For a 95% probability, the Z-score is 1.65. So, the safety stock is 1.65 * 5 units = 8.25 units (rounding up to 9 units).

3. Now, we calculate the reorder point, which is the sum of the demand during the lead time and the safety stock. Reorder point = 140 units + 9 units = 149 units.

4. Finally, we subtract the current on-hand units and the units sold today from the reorder point to determine the number of units to be ordered. Units to be ordered = 149 units - 180 units + 20 units = -11 units.

Since we cannot order a negative number of units, we conclude that no units should be ordered in this scenario.

Based on the given information and calculations, no units should be ordered in this case as there is no need to replenish the stock.

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Answer:it’s factorable

Step-by-step explanation:

I mean I don’t really hve a method to this but u could use the ac method as a is greater than 1. I just factorise in my head automatically.

Answer:

(x + 3)(3x - 2)

Step-by-step explanation:

Multiply the 3 and -6 together to get -18 . What two numbers add to  7  and multiply to  -18? 9 and -2

So we can now split the middle term like this...

=  3x^2 + 9x - 2x - 6            

Now factor a  3x  out of the first two terms.

=  3x(x + 3) - 2x - 6            

Now factor a  -2  out of the last two terms.

=  3x(x + 3) - 2(x + 3)        

Now factor a  (x + 3)  out of both remaining terms.

=  (x + 3)(3x - 2)

Reversing the order of integration for the given double integral ∫10∫1ysin(x^2)\(dxdy\) leads to the integral ∫1^0∫√y^−1y sin(x^2) dxdy. Evaluating this integral gives the value approximately equal to -0.225.

To reverse the order of integration, we need to visualize the region of integration in the x y -plane. The limits of x are from y to 1 and limits of y are from 0 to 1. So, the region of integration is a triangle with vertices at (1,0), (1,1), and (y, y) for y ranging from 0 to 1.

Now, to reverse the order of integration, we integrate with respect to x first, then y. So, the limits of x will be from √\(y^-1\) to y , and limits of y will be from 1 to 0. Therefore, the new integral becomes ∫1^0∫√y^−1y sin(x^2) dxdy.

Evaluating this integral, we have ∫1^0∫√\(y^-1y sin(x^2)\)\(dxdy\) = ∫1^0 [−1/2cos\((y^-(1/2))\) + 1/2cos(y)\(] dy\) ≈ -0.225. Therefore, the value of the given double integral is approximately -0.225.

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The measurement of the angle in the given triangle is 32.12°

The law of sines is defined as the ratio of side length to the sine of the opposite angle. It holds for all the three sides of a triangle, respective of their sides and angles.

Given that in a Δ OPQ p = 44 cm, o = 75 cm and ∠ O = 65°.

We are asked to find the value of ∠ P,

Using the sine law,

p / Sin P = o / Sin O

44 / Sin P = 75 / Sin 65°

44 / Sin P = 82.75°

Sin P = 44 / 82.75°

Sin P = 0.5317

P = sin⁻¹(0.5317)

P = 32.12°

Hence, the measurement of the angle in the given triangle is 32.12°

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Answer:

35A- Top right

Step-by-step explanation:

The most effective chunking of the digit sequence 14929111776 would depend on the purpose of chunking.

However, a possible effective chunking could be 14-92-91-11-77-6, which groups the digits into pairs or triplets based on their similarity or pattern. Another possible chunking could be 1492-911-1776, which separates the digits based on significant historical events. Ultimately, the effectiveness of chunking would depend on the context and intended use of the sequence. The most effective chunking of the digit sequence 14929111776 would be to group the numbers into smaller, manageable chunks. One possible way to chunk the sequence is: 149-29-11-17-76. This breaks the sequence into five groups, making it easier to remember and process.

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Step-by-step explanation:

The following are true about probability mass functions of a discrete distributions:

The probability of getting any possible value of x is greater than or equal to 0

The sum of the probabilities of all possible values of x is 1

The following is not true about probability mass functions of a discrete distributions:

The probability mass function is the probability that the random variable X is less than or equal to the one of the possible outcomes.

It is the derivative of the CDF

There are two terms in the given expression 5xy²+ 35xy².

What is meant by term?

Terms comprise expressions. A term may be a constant, a variable, or a combination of variables and constants.

What is an example of a term?

It could be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase. Single-word examples: A single phrase is 3x.

There are two terms in the equation 5xyA ^2 + 35xyA^2 that is separated by an arithmetic operator +.

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Answer:

Step-by-step explanation:

club sold 40 scarves and hats so the sum of scarves and hats is 40

s + h = 40       - one of equations

They charged $18 for each scarf and $14 for each hat so:

18×s   - money made from scarves

14×h   - money made from hats

18s + 14h  - sum of money made from scarves and hats so:

18s + 14h = 700      - second of equatinons

The system of equations represents the constraints of the situation are   s + h = 40 and 18s + 14h = 700.Option A is correct.

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

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that, the knitting club sold 40 scarves and hats at a winter festival and made $700 from the sales. They charged $18 for each scarf and $14 for each hat.

If s represents the number of scarves sold and h represents the number of hats sold.

The system of equations is as follows,

s + h =40

18s +14h = 700

Thus,the system of equations represents the constraints of the situation are   s + h = 40 and 18s + 14h = 700.Option A is correct.

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Answer:

Can I get the full question please

Step-by-step explanation:

x + y = 10 - - - 1

x=2y - - - - - 2

Putting the value of x in eqn 1,

2y+y=10

y=10/3

=3.33 yrs

Which i feel is incorrect

Answer:

∠ BAC = 54°

Step-by-step explanation:

the chord- chord angle BAC is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is

∠ BAC = \(\frac{1}{2}\) (BC + FD ) , that is

10x + 4 = \(\frac{1}{2}\) (12x + 15 + 9x - 12)

10x + 4 = \(\frac{1}{2}\) (21x + 3) ← multiply both sides by 2 to clear the fraction

20x + 8 = 21x + 3 ( subtract 21x from both sides )

- x + 8 = 3 ( subtract 8 from both sides )

- x = - 5 ( multiply both sides by - 1 )

x = 5

Then

∠ BAC = 10x + 4 = 10(5) + 4 = 50 + 4 = 54°

To find the roots of a third-degree polynomial, also known as a cubic polynomial, we can use a method called factoring or apply the cubic formula.

The first step is to check if there are any common factors that can be factored out. Next, we can use the rational root theorem to determine potential rational roots. By applying synthetic division or long division, we can divide the polynomial by the potential roots to see if they are indeed roots.

If a rational root is found, we can then use synthetic division to factor out the corresponding quadratic equation. Finally, we can solve the quadratic equation using methods like factoring, completing the square, or using the quadratic formula to find the remaining roots.

It's important to note that not all cubic polynomials can be easily factored or solved algebraically. In such cases, numerical methods or approximation techniques may be used to find the roots.

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To find the roots of a third degree polynomial, you can follow these steps: 1) Check for rational roots using the Rational Root Theorem. 2) Use synthetic division to divide the polynomial by a linear factor. 3) Factor the resulting quadratic equation. 4) Solve for the roots by setting each factor equal to zero.

To find the roots of a third degree polynomial, we can follow these steps:

Remember, the Fundamental Theorem of Algebra states that every polynomial equation of degree n has exactly n complex roots, counting multiplicities.

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Answer:

Expected Payoff ⇒ $ 1.50 ; Type in 1.50

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

\(100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars\)

Thus, Solution ; Expected Payoff ⇒ $ 1.50

Answer:

A

Step-by-step explanation:

d = 1150 km = 1150 km / 1.61 miles = 714.29 miles

r = 55 mph

d / r = time

714.29 / 55 = 12.99 hours.

The closest time to that is 13 hours.

Answer:

16

Step-by-step explanation:

to get from 3/4 to 12/x you gotta multiple 3 times 4 which is 12 so the bottom multiple that by 4 also which 4 x 4 is 16

A. The proportion we can set up is: c/a = d/b, and B. x = (c * b) / a. This gives us the value of x in terms of the lengths of the other segments.

A) The corresponding sides in similar triangles are proportional, so we can use this fact to set up a proportion between the sides of triangles BED and BCA. Let's call the length of segment BC "a", the length of segment AC "b", the length of segment BE "c", and the length of segment DE "d".
The proportion we can set up is:
c/a = d/b
This is because we know that triangle BED is similar to triangle BCA, so the ratio of the lengths of their corresponding sides must be the same.

B) We can now use the proportion to solve for x, which is the length of segment DE. We can start by cross-multiplying the proportion:
c * b = d * a
Then, we can isolate for x by dividing both sides by the coefficient of x:
x = (c * b) / a
This gives us the value of x in terms of the lengths of the other segments.

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(x, y) is an element of the set c × d, since x is an element of c and y is an element of d.

Since (x, y) was an arbitrary element in a × b, we can conclude that every element in a × b is also in c × d. Thus, we have shown that if a ⊆ c and b ⊆ d, then a × b ⊆ c × d.

To show that if a ⊆ c and b ⊆ d, then a × b ⊆ c × d, follow these steps:

Step 1: Understand the notation.
a ⊆ c means that every element in set a is also in set c.
b ⊆ d means that every element in set b is also in set d.

Step 2: Consider the Cartesian products.
a × b is the set of all ordered pairs (x, y) where x ∈ a and y ∈ b.
c × d is the set of all ordered pairs (x, y) where x ∈ c and y ∈ d.

Step 3: Show that a × b ⊆ c × d.
To prove this, we need to show that any ordered pair (x, y) in a × b is also in c × d.

Let (x, y) be an arbitrary ordered pair in a × b. This means that x ∈ a and y ∈ b.

Since a ⊆ c, we know that x ∈ c because every element in set a is also in set c.
Similarly, since b ⊆ d, we know that y ∈ d because every element in set b is also in set d.

Now, we have x ∈ c and y ∈ d, so the ordered pair (x, y) belongs to c × d.

Step 4: Conclusion
Since any arbitrary ordered pair (x, y) in a × b also belongs to c × d, we can conclude that a × b ⊆ c × d.

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Using it's concepts, the domain and the range of the function are given as follows:

a) Domain: [0, 7].

b) Range: [0, 300].

The domain of a function is composed by the set of all possible input values of the function. Hence, on the graph, the domain is composed by the values of x.

In the context of this problem, the input of the function is the number of days. A week has 7 days, hence the domain of the function is given by:

[0, 7].

The range of a function is composed by the set of all possible output values of the function. Hence, on the graph, the range is composed by the values of y.

In the context of this problem, the output of the function is the balance of the bank account after each day. Supposing that the smallest balance of the account is of $0, and considering the greatest balance of $300 stated in the problem, the range of the function is given by:

[0, 300].

The graph of the function is incomplete, hence we suppose that the minimum balance is of $0.

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the child would take 11.5 days (working 24 hours per day) to fill the swimming pool

an empty swimming pool is in the shape of a rectangle 10 meters long, 5 meters wide and 2 meters deep.

filling rate =2*10*π*(0.1)^2

or 0.002 π cubic meters per minute

or 0.12 cubic meters per hour

or 2.88 cubic meters per day

volume to fill = 100 cubic meters

how many days to fill ? × days= 2.88π × x=100

this implies x= 100/2.88π

   x= 11.05

the complete question is

an empty swimming pool is in the shape of a rectangle 10 meters long, 5 meters wide and 2 meters deep. a child starts to fill the pool using a saucepan with a circular base having a diameter of 20cm and a depth of 10 cm. the child can fill the saucepan and empty it into the pool twice per minute. how many days would it take the child (working 24 hours per day) to fill the pool? don’t round to the nearest day.

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Using the information provided, it appears that your neighbor will not save money by picking up the soil himself as its total cost is $103.86 as opposed to cost of delivery $30.

Here is a detailed breakdown of the calculations and assumptions made:

The area of the yard is estimated to be around 7,200 sq.ft. Assuming a 4 inch layer of topsoil, this requires 4 cubic yards (1 cubic yard = 27 cubic feet).

The cost of the soil delivery is $30 per truckload (up to 18 cubic yards). So the delivery cost for 4 cubic yards of soil would be $30.

The cost of topsoil per cubic yard is $18. Thus, the total cost of the topsoil is $72.

The weight of topsoil is 2000 pounds per cubic yard, so the total weight of the soil is 8,000 pounds (4 cubic yards x 2000 pounds).

The pickup truck's payload capacity is 1800 pounds, so the truck can only transport 1/4 of the total weight of the soil (1800/8000 = 0.225). Thus, it would require 4 trips to transport the soil, and the total trip distance is 36 miles (9 miles x 4 trips).

The truck gets 17 miles per gallon, so it would require 2.1 gallons of gas for each trip (36 miles/17 mpg = 2.12). The total amount of gas needed for the 4 trips is 8.4 gallons (2.1 gallons x 4 trips). The cost of gas per gallon is assumed to be $3.79, so the total cost of gas for the 4 trips is $31.86.

Thus, the total cost of picking up the soil himself is $31.86 + $72 = $103.86. This is higher than the cost of delivery which is only $30, so it would be better to pay for delivery.

To conclude, your neighbor will not save money by picking up the soil himself, and it is recommended that he pays for delivery.

Note: The question is incomplete. The complete question probably is: He has decided to remove all the old sod (grass), bring in a new 4 inch layer of topsoil, install new in-ground sprinklers, and reseed the lawn. He seems to think that he'll be able to save money by hauling loads of topsoil from the store himself in his pickup truck, rather than paying for delivery, but I don't think he's right. You're going to help us settle this. Here is (most of) the information you asked for:

Using this information, figure out whether my neighbor will save money by picking up the soil himself. Use the results of your calculations to guide your decision: would you recommend that my neighbor pick up the soil himself, or pay for delivery? Detail all your assumptions and calculations, and clearly write out your final conclusions.

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Answer:

x < -7

Step-by-step explanation:

to isolate x we need to subtract 2 from both sides. -5-2 is -7, so the answer is x < -7

Answer:

x< −7

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

                    x+2-(-5)<0

Step by step solution :

STEP 1:

Solve Basic Inequality :

1.1      Subtract  7  from both sides

           x < -7

Inequality Plot :

1.2      Inequality plot for

        x  + 7.000  <  0

The equation of the degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and y-intercept at y = 5 is given as follows:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

The zeros of the function, along with their multiplicities, are given as follows:

Then the linear factors of the function are given as follows:

The function is then defined as:

y = a(x - 3)(x - 2)²(x + 1)³.

In which a is the leading coefficient.

When x = 0, y = 5, due to the y-intercept, hence the leading coefficient a is obtained as follows:

5 = -12a

a = -5/12

Hence the polynomial is:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

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The line plot graph's data are best represented by the center's measure, which is -

Option A: Since there are no outliers, the median is the best indicator of the middle.

It is obvious that the data is discrete since it is shown as a line plot, which displays the frequency of data values.

The median, which is the middle number when the data are organized in order, would be the proper way to assess the center in this situation.

There are several dots over various values, which implies that these values are more prevalent in the data set.

However, this does not imply that there are always outliers. When utilizing the mean as a measure of center, outliers are extreme numbers that are distant from the bulk of the data and might distort the findings.

Therefore, the median is the most appropriate measure of center in this case because it is not affected by the presence of outliers and it represents the middle value of the data set.

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-1 39/45

that is the answer

Answer:

<abd+<dbc=<Abc

50+40=90

triangle abc is a right angled triangle being one angle 90 degree

Answer:

Step-by-step explanation:

Answer:

<abd+<dbc=<Abc

50+40=90

triangle abc is a right angled triangle being one angle 90 degree

Answer:

54.88cm

Step-by-step explanation:

For shaded region perimeter, subtract the circle perimeter from the rectangle

perimeter

= (10*8) - (2 * 3.14 * 8/2)

= 80 -  25.12

= 54.88cm