An intravenous fluid is infused at the rate shown in the table. What is the missing value?
Minutes
Milliliters
3
ܢܚܪ
2.
?
3
9
4
12
3
6
9
24

Answer:

5 shipments had at least 10 broken tiles but less than 20 broken tiles.

Area of a rectangle

The area of a rectangle of width W and length L is calculated as follows:

A = W * L

The bedroom closet has a width of W=3.5 feet and a length of L=8.25 feet.

The area of the bedroom closet is:

A = 3.5 feet * 8.25 feet

Multiplying:

A = 28.875 square feet

The number of square feet in the floor of the closet is 28.875

The measure of ∠STW is 119° which is an exterior angle of ΔRST.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the sum of all the interior angles in a triangle is 180°.

We also know that the measure of an exterior angle in a triangle is the sum of the two opposite interior angles.

∴ In ΔRST,

14x + 7 = 9x + 3 + 44.

14x - 9x = 47 - 7.

5x = 40.

x = 8.

So, the measure of ∠STW is 14(8) + 7.

= 119°.

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The axiom of regularity is a set theory principle which states that every non-empty set C contains an element that is disjoint from C.

The set theory concept rules that for every non-empty set C there is an element x of C such that x does not intersect C. The regularity axiom aims to establish that no non-empty set will have itself as an element.

The principle which is also called the axiom of foundation is a fundamental concept in set theory and credited to Zermelo–Fraenkel.

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Hence, the number of wolves in the state on January \(1\) and the equation is \(w-23=84\).

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given that,

A zoologist is recording the loss of wolves in her state. She notes the number of wolves, \(w\) in the state of January \(1\).

One year later, there were \(84\) wolves in the state, which is \(23\) fewer wolves than were in the state a year earlier.

So as per this equation \(w-23=84\) is correct.

Hence, the number of wolves in the state on January \(1\) and the equation is \(w-23=84\).

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The area of triangle ADE is,

⇒ A = 48 square units

We have to given that,

In the diagram , DE is a midsegment of triangle ABC.

And, The area of triangle ABC is 96 square units

Now, We know that,

Since DE is a midsegment of triangle ABC, it is parallel to AB and half the length of AB. Therefore, DE is half the length of AB.

Hence, the area of triangle ADE is half the area of triangle ABC,

That is,

A = 96 / 2

A = 48 square units

Thus, The area of triangle ADE is,

⇒ A = 48 square units

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We have shown that C is the image of A by dilation with center B and ratio 3.

Now, To show that C is the image of A by dilation with center B and ratio 3, we need to follow these steps:

Firstly, Find the vector AB by subtracting the coordinates of B from the coordinates of A:

AB = A - B = (6 - 3, 4 - 7) = (3, -3)

Multiply the vector AB by the dilation ratio of 3:

3 AB = 3 (3, -3)  = (9, -9)

Add the resulting vector to the coordinates of the center B:

BC = B + 3 AB = (3, 7) + (9, -9)

BC = (12, -2)

Hence, Compare the resulting point BC to the coordinates of C to show that they are the same:

BC = (12, -2) = C

Therefore, we have shown that C is the image of A by dilation with center B and ratio 3.

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Answer:

C. 1/1,000

Step-by-step explanation:

yes or no ?

Answer:

D. its a two dimensional object

Answer:

A. It is a polygon

C. It is a one-dimensional object

The shape is a polygon in two dimensions since a polygon must have at least three straight sides.

Option D is correct as 16% and 26% results in a percentage of 42%, in line with percentages in the "At least one vitamin" row of the table of random sample.

In random sample:

The student is incorrect. To determine the proportion of participants taking vitamins, we need to add up the percentages in the "At least one vitamin" row of the table. Adding 23.5% and 48.2%, we get a total of 71.7%, which is not more than half. Therefore, option A is incorrect.

Option B is also incorrect, as adding 27.4% and 49.5% gives a total of 76.9%, which is more than half but does not match the percentages in the table.

Option C is incorrect, as adding 11.4% and 23.5% gives a total of 34.9%, which is lower than the percentages in the table.

Option D is correct, as adding 16% and 26% gives a total of 42%, which matches the percentages in the "At least one vitamin" row of the table. Therefore, the correct answer is D.

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Answer:

Primarily, the Indian temple architecture has been classified into three broad types, namely; Nagara or the northern style, Vesara or mixed style, and the Dravida which is the southern style. All these styles carry their unique regional influences and lineages.

Step-by-step explanation:

Answer:

x = 11

Step-by-step explanation:

The two angles measuring (7x + 14)° and (9x - 8)° are corresponding angles, which are always congruent to each other and thus equal to each other.  

Step 1:  Thus, we can find the value of x by setting the two angles equal to each other:

7x + 14 = 9x - 8

7x + 22 = 9x

22 = 2x

11 = x

Optional Step 2:  We can check that we've found the correct answer by plugging in 11 for x in both (7x + 14) and (9x - 8) and checking that we get the same number:

7(11) + 14 = 9(11) - 8

77 + 14 = 99 - 8

91 = 91

The linear rule for the sequence is f(n) = 7/20 + 3/20(n - 1)

From the question, we have the following parameters that can be used in our computation:

35/100,5/10,65/100

In the above sequence, we can see that 15/100 is added to the previous term to get the new term

This means that

First term, a = 35/100

Common difference, d = 15/100

The nth term is then represented as

f(n) = a + (n - 1) * d

Substitute the known values in the above equation, so, we have the following representation

f(n) = 35/100 + 15/100(n - 1)

So, we have

f(n) = 7/20 + 3/20(n - 1)

Hence, the explicit rule is f(n) = 7/20 + 3/20(n - 1)

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Answer:

Triangle PQR maps onto triangle KLM. This is possible because △PQR ≅ △KLM by ASA, and one congruent figure can be mapped onto another using rigid motions.

Step-by-step explanation:

For the first blank, we are given congruence statements for 1 side on each triangle and their two adjacent angles. This means we can use the Angle-Side-Angle theorem to declare △PQR and △KLM congruent.

For the second blank, we know that rigid transformations do not change the figure, they simply move its position on a plane, so this is the correct answer; had the △PQR and △KLM not been congruent, a non-rigid transformation would have to have occured, but this is not the case here.

Answer:

Step-by-step explanation:

Given triangles PQR and KLM with QR ≅ LM, ∠Q ≅ ∠L, and ∠R ≅ ∠M, you want to know the applicable congruence postulate and whether the triangles are mapped to each other by rigid or non-rigid motion.

The segment QR has angle Q at one end and angle R at the other end. That means the side lies between the two angles. Likewise, segment LM lies between angles L and M.

When claiming congruence of these triangles, the appropriate postulate is the one that refers to the geometry with the congruent side between the congruent angles: ASA.

"Rigid" motion is motion that preserves angle and length measures. By contrast, "non-rigid" motion may involve stretching or compression in one or more directions. It may or may not preserve angles or lengths.

Congruence is about showing that angles and lengths are the same from one figure to another. If you want to map congruent figures to each other, you must do so using rigid motion.

__

Additional comment

The rigid motions include ...

<95141404393>

The graph of the feasible region is attached

From the question, we have the following parameters that can be used in our computation:

\(\left\{ \begin{array}{lr} y + 7x \ge 10 \\ 8y + 2x \ge 20 \\ y + x \ge 4 \\ y + x\le 10 \\ x \ge 0 \\ y \ge 0\end{array}\)

To plot the graph of the feasible region, we plot each inequality in the domain x ≥ 0 and y ≥ 0

Using the above as a guide, the graph is attached

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Answer:

A

Step-by-step explanation:

You know that you can simplify 6/9 because both the numerator (top number) and denominator (bottom number) can be divided by 3. Therefore, you divide them by 3 to get 2/3. 2/3 cannot be simplified anymore. 2/3 is equal to 2/3. Therefore, the answer is A.

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Answer:

----------------------

There are various combinations of coins.

In total there are:

Answer:  60

-----------------

A decrease of 50%

1) Considering the first number to be 30 we can write out

30 ------100%

15 ------- x

2) Cross multiplying it, we have:

1500=30x

x=50

Since 15 is 50% then we can subtract 50% from 100% and the answer is

A decrease of 50%

Rounded to the nearest cubic mm, the volume is 615 cubic mm.

To calculate the volume of a cylinder, you can use the formula: V = πr^2h, where r is the radius, h is the height, and π is approximately equal to 3.14. In this case, the radius is 6mm and the height is 7mm. So, the volume of wax needed is approximately: V = 3.14 * 6^2 * 7 = 615.44 cubic mm. Rounded to the nearest cubic mm, the volume is 615 cubic mm.

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Answer:

y=11x

Step-by-step explanation:

we use formula y2-y1/x2-x1 with 2 of the order pairs

22-11/2-1

11/1

11 is the slope

We find y intercept by finding when x is equal to zero and we subtract 11 until we find the 0 x unit since it goes down 11 every time

When x is zero y is zero so we write it like this

Y=11x

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The number of hours he spent babysitting is 12 hours and the number of hours he spent mowing lawns last week is 8 hours.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Given that, John works two jobs. He earns $10 an hour babysitting his neighbour's children and $15 an hour mowing lawns in his neighbourhood. Last week he worked a total of 20 hours and earned a total of $240.

Let the x be the number of hours he spent babysitting and y be the number of hours he spent mowing lawns last week,

Establishing the equation, we get,

x+y = 20

x = 20-y......(i)

10x+15y = 240.......(ii)

Using the equation (i) in (ii), we get

10(20-y)+15y = 240

200-10y+15y = 240

5y = 40

y = 8

Put y = 8 in eq(i)

x = 20-8

x = 12

Hence, the number of hours he spent babysitting is 12 hours and the number of hours he spent mowing lawns last week is 8 hours.

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Answer:

75%

Step-by-step explanation:

3/12 = 25% are cracked.

9/12 = 75% are still intact.

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Answer:

see explanation

Step-by-step explanation:

both linear equations will have the form

y = mx + c ( m is the slope and c the y- intercept )

Chef Mate

c(n) = mn + c

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (2, 14) and (x₂, y₂ ) = (3, 18.5) ← 2 ordered pairs from the table

m = \(\frac{18.5-14}{3-2}\) = \(\frac{4.5}{1}\) = 4.5 , then

c(n) = 4.5n + c ( n represents ounces )

To find c substitute any ordered pair from the table into c(n)

using (4, 23 )

23 = 18 + c ⇒ c = 23 - 18 = 5

c(n) = 4.5n + 5 ← equation for Chef Mate

--------------------------------------------------------------------

Similarly for Grocery Gourmet

g(n) = mn + c

using (2, 23 ) and (3, 27 ) to find m

m = \(\frac{27-23}{3-2}\) = \(\frac{4}{1}\) = 4 , then

g(n) = 4n + c

using (4, 31 ) to find c

31 = 16 + c ⇒ c = 31 - 16 = 15

g(n) = 4n + 15 ← equation for Grocery Gourmet

------------------------------------------------------------------

Equate the 2 equations to find when cost is the same

4.5n + 5 = 4n + 15 ( subtract 4n from both sides )

0.5n + 5 = 15 ( subtract 5 from both sides )

0.5n = 10 ( divide both sides by 0.5 )

n = 20

Then when n = 20

c(n) = 4.5(20) + 5 = 90 + 5 = 95

g(n) = 4(20) + 15 = 80 + 15 = 95

Both Chef Mate and Grocery Gourmet charge $95 for 20 ounces of extract

Answer:

When subtracting two numbers you add the (additive inverse) of the number being subtracted.

Step-by-step explanation:

That's one of the rules of subtracting integers.

Answer:

The inequality is the same number

Step-by-step explanation:

if it were a negitive number for example -232 then the inequality would be 232

Answer: Any force will change the baseball velocity. The ball’s acceleration caused by that force is a = F/m. The largest direction change happens when the applied force is perpendicular to its velocity. For example, the gravitational force will bend the ball’s trajectory down and will cause it to fall to the ground:

Step-by-step explanation:

The calculated  force used to throw the ball is mathematically given as

F=75N

Question Parameters:

thrown at 150m/s2 and

has a mass of 0.5kg

Generally the equation for the Force  is mathematically given as

F=ma

Therefore

F=150*0.5kg

F=75N

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Answer:

{(x,y,z) : x = 1 - s - , y = s, z = t, s, t ∈ R}

Step-by-step explanation:

We will rearrange the linear equation for x + y + z = 1 that is

x + y + z = 1

x = 1 - y - z

Here there are three variables and one equation. So, there will be two parameters.

Let us assume parameters of s and t for free variables that is

y = s and

z = t

which lies

x = 1 - s - t

Therefore, the parametric representation will be

x = 1 - s - t

y = s

z = t

So, the answer set of the linear equation x + y + z = 1 is

{(x,y,z) : x = 1 - s - , y = s, z = t, s, t ∈ R}

A statistical question that can result in numerical data is How many times did you go swimming this year? So, the correct option is A).

The statistical question that can result in numerical data is "How many hours this week did you spend on homework?" and "How many times did you go swimming this year?".

These questions involve counting or measuring quantities, which can be represented using numerical data. The other two questions do not involve numerical data and therefore cannot be considered statistical questions that result in numerical data. So, the correct answer is B).

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Answer:

How many pink erasers do the students in your class have?