A hospital needs 80 liters of a 12% solution of disinfectant. This solution is to be prepared from a 33% solution and a 5% solution. How many liters of each should be mixed to obtain this 12% solution? There are different ways to solve this problem, but using a system of equations is the simplest way

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Answer:

Step-by-step explanation:

Answer:

1. If p is true and q is false, the p -> q is never true.

2. When p is false and q is true, then p or q is always true.

3. If p is true and ~ q is false, then p -> ~ q

N

is never false.

4. If p is true and q is true, then ~ p -> ~ q is always true.

5. If p->q is true and q is true, then p is

always true.

Further Explanation:

The logic gates are used here.

Here, the symbol -> is for implication. Implication p-> q means that if p is true then q must be true.

So let us look at all the questions one by one.

1. p is true and q is false, the p -> q is always, sometimes, never true.

p-> q

true -> false

The true should imply true so the given statement will never be true.

2. When p is false and q is true, then p or q is always, sometimes, never true.

false or true

We know that in or gate even if one input is true, the whole output is true. So this statement will be always true given p is false and q is true.

3. If p is true and~q is false, then P q is always, sometimes, never false.

This translates to:

true -> true

So it will never be false.

4. If p is true and q is true, then ^p -> ~q is always, sometimes, never true.

This translates to:

false false

This will always be true.

5. If p->q is true and q is true, then p is always, sometimes, never true.

If p->q is true and q is true then will always be true. "Implies to" states that in p->q, in order for q to be true p has to be true. So p will always be true.

Answer:

D

Step-by-step explanation:

there is a curve

Answer:

Step-by-step explanation:

The table shows the amount of rainfall recorded over the first 10 months of a year. Draw a line plot, if needed.

Amount of Rainfall (inches)

Part A

What is the difference between the greatest and least amounts of rainfall in a month?

Let x = the unknown.

Greatest amount= 3 1/4

Least amount = 3/4

x= 3 1/4 - 3/4 = 2 1/2 inches.

Part B

If the last 2 months of the year each have the most common amount of rainfall, how much more rain will fall for the year?

The number with the most common amount is  2 3/4.

2 3/4 + 2 3/4 = 5 1/2 inches.

2√3

hope it helps...!!!

Answer:

What is the car's rate in kilometers per minute?

[tex]0.9\frac{km}{min}[/tex]

How many kilometers will the car travel in 5 minutes?

[tex]4.5\ km[/tex]

Step-by-step explanation:

If we know:

[tex]\frac{54\ km}{1\ hour}[/tex]

And there are 60 minutes in an hour:

[tex]\frac{1\ hour}{60\ minutes}[/tex]

We can do:

[tex]\frac{54\ km}{1\ hour} * \frac{1\ hour}{60\ minutes} = \frac{54\ km}{60\ minutes} = 0.9 \frac{km}{min}[/tex]

From here, we figure out the distance from minutes:

[tex]0.9\frac{km}{min} * 5 = 4.5\ km[/tex]

Answer: 54

Step-by-step explanation:

First we add 17 plus 18 to dins total number of students I got 35

Then we make ratio

3/35

So we know we have total number of 630 kids then we make a ratio with no teacher so x

X/630

Lin both together then done ☑️

Answer:

approx 8.5 cm

Step-by-step explanation:

Given:

Volume= 225 cm^2

Diameter= 10cm

∴Radius= 10/2= 5cm

Volume of cone= 1/3 pi r^2 h

(now substitute the values we know),

225 = 1/3 * pi * (5)^2 *h

225*3= 25*pi*h

675= 25*pi*h

675/25= pi*h

27= 22/7*h

h= 27* 7/22

h= 8.5 cm approx.

I have mentioned every minor step. Hope it helps!!

Answer:

Step-by-step explanation:

Remark

If you sweep all the way around the circle starting at 13,0, you go through 360 degrees.  

The formula for that event: Circumference = 2*pi * r

If you stop after sweeping out 135 degrees, then you need to multiply by a fraction.

Formula and givens

Arc RST = (135/360) * 2 * pi * r

pi = 3.14

r = 13

Solution

Arc RST = .375 * 2 * 3.14 * 13

Answer = 30.615

The first choice, is exponential, because there is a relatively consistent multiplicative rate of change.

An exponential function is a function whose value is a constant raised to the power of an argument

1) I have attached the figure with the data table that represents the temperature of a cup of coffee over time.

These are the data:

Time (min) ------ Temperature (°F)

0 ----------------------- 200

10 ---------------------- 180

20 --------------------- 163

30 --------------------- 146

40 ---------------------131

50 -------------------- 118

60 -------------------- 107

2) Since, the increase in time is constant, while the decrease in temperaute is not, you know that it is not linear.

3) The other two options involve exponential models.

The exponential models have a constant multiplicative rate of change, not additive. Therefore, the only feasible choice is the first one: temperature of a cup of coffee over time.

4) You can prove it:

i) Exponential models have the general form y = A [r]ˣ, where B is r is the multiplicative rate of change: any value is equal to the prior value multiplied by r:

y₁ = A [r]¹

y₂ = A[r]²

y₂ / y1 = r ← as you see this is the constant multiplicative rate of change.

ii) Test some data:

180 / 200 = 0.9

163 / 180 ≈ 0.906 ≈ 0.9

146 / 163 ≈ 0.896 ≈ 0.9

131 / 146 ≈ 0.897 ≈ 0.9

118 / 131 ≈ 0.901 ≈ 0.9

107 / 118 ≈ 0.907 ≈ 0.9

As you see all the data of the table have a relatively consistent multiplicative rate of change, which proves that the temperature follows an exponential decay; so the right choice is the first one.

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Answer:

first choice, exponential, because there is a relatively consistent multiplicative rate of change.

explanation:

because it is <3

Step-by-step explanation:

what is 1/2 as a fraction 1/2 btw of 80 = 50%

50% is your answer

Answer:

50% is the answer

Step-by-step explanation:

1/2 of 80% = 50%

There are 26 letters in the English alphabet and no it’s not a statistical question

Answer:

the answer to your question is 9 miles

Answer:

It is always 12 times the number of years.

Step-by-step explanation:

12 months in 1 year, 12:1

24 months in 2 years, 24:2

36 months in 3 years 36:3

and so on

Answer:

D

Step-by-step explanation:

Shift down 2 units, you want to make the graph only move in the y direction and take it back to the origin

Answer:

[tex]\displaystyle A =\frac{B*H}{2}[/tex]

Step-by-step explanation:

    To find the area of a triangle, we can use the formula of:

[tex]\displaystyle A =\frac{B*H}{2}[/tex]

    This formula comes from the area of a rectangle, because a triangle is half a rectangle.

How to find the area of a triangle?

Triangle :

A polygon which has three sides is called a triangle.

Formula :

Assume a rectangle ABCD and let the height be h and base be b.

If we draw a diagonal from one vertex, it will break the rectangle into two congruent or equal triangles. The area of each triangle is half the area of the rectangle.

The area of the triangle ABC is [tex]\dfrac{1}{2}[/tex] × base × height.

[tex] \star \small\boxed{ \rm{ Area \: of \: a \: triangle = \dfrac{1}{2} × Base × Height}} [/tex]

This formula comes from the area of a rectangle. A triangle is half as big as the rectangle that surrounds it, that is why the area of a triangle is one-half base times height.

Answer:

$5416.67

Step-by-step explanation:

If A valuable watch has an original price. It is sold for $5304 after its original price has been increased by 2% and then by 4%. The original price of watch is 5096.

percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part

let the original price be x.

The selling price of watch is $5304 .

2% of $5304  is 2/100×5304=0.02×5304

=106.08

Now let us remove the 2% from the selling price of the watch.

$5304 - 106.8 =5197.2

4% of $5197.2 is 4/100×5197.2=0.04×5197.2

=207.888

So Selling price of watch minus percentage in increase is the original price

5304-207.888=5096.1

Hence if a valuable watch has an original price. It is sold for $5304 after its original price has been increased by 2% and then by 4%. The original price of watch is 5096.

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Answer:

Step-by-step explanation:

With the tail wind the total speed is the sum of the speeds of plane and wind.

When into wind the total speed is the difference of speeds of plane and wind.

The first equation is

The second equation is

Simplify both equations and solve the system

Solve by elimination, add up the equations

Find the value of w

I believe that the answer is 21.48

The factory would need approximately a circumference of 21.98 feet of the braid to go all the way around the outside of the circular rug.

We have,

The formula for the circumference (C) of a circle is:

C = 2πr

where r is the radius of the circle and π is a mathematical constant approximately equal to 3.14.

In this case, the radius of the rug is 3.5 feet, so we can calculate the circumference as:

C = 2 × 3.14 × 3.5 = 21.98 feet

Therefore,

The factory would need approximately a circumference of 21.98 feet of the braid to go all the way around the outside of the circular rug.

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The answer is B and pls mark me brainiest

The equation of the hyperbola is:

(x - 3)² / 9 - (y - 2)² / 16 = 1.

To find the equation of the hyperbola with the given foci and vertices, we need to determine the center, semi-major axis (a), and semi-minor axis (b) of the hyperbola.

The center of the hyperbola is the midpoint between the two vertices:

Center = ((3 + 3) / 2, (5 + (-1)) / 2) = (3, 2).

The distance between the center and one of the vertices gives us the semi-major axis (a):

a = distance between center and vertex = 5 - 2 = 3.

The distance between the center and one of the foci gives us the distance c (the distance from the center to the focus):

c = distance between center and focus = 7 - 2 = 5.

Now, we can find the value of b (the semi-minor axis) using the relationship between a, b, and c in a hyperbola:

c² = a² + b²

5² = 3² + b²

25 = 9 + b²

b² = 25 - 9

b² = 16

b = 4.

Now that we have the center (h, k) = (3, 2), the semi-major axis (a) = 3, and the semi-minor axis (b) = 4, we can write the equation of the hyperbola in standard form:

For a hyperbola (center at (h, k)), the equation is:

(x - h)² / a² - (y - k)² / b² = 1.

Plugging in the values:

(x - 3)² / 3² - (y - 2)² / 4² = 1.

The equation of the hyperbola is:

(x - 3)² / 9 - (y - 2)² / 16 = 1.

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Answer:

Coefficient

Step-by-step explanation:

5 is the Coefficient for x

The product of the given expression in expanded form is 15r^3 - 20r^2

Taking the product of expression is a way of simplifying the expression.

Given the product below:

(5r^2)(3 r - 4)

Expand

5r^2(3r) - 5r^2(4)

Simpley each term

15r^3 - 20r^2

Hence the product of the given expression in expanded form is 15r^3 - 20r^2

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The appropriate null hypothesis is (b) Flavor preferences are evenly distributed across all flavors

The distribution of the gum flavors is given as:

The sample size is given as:

Sample = 80

From the distribution of the gum flavor, we can see that the count of each flavor are not equal i.e. uneven

This means that we can use the following statement as the null hypothesis:

Flavor preferences are evenly distributed across all flavors

Hence, the appropriate null hypothesis is (b)

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Answer:

Length: 8 cm

Width: 2 cm

Step-by-step explanation:

Check the attachment.

Answer: 6.91666666667, or 6 11/12

The feedback that should be given by another lab during peer review is based on the data contained in the work.

The term peer review refers a detailed analysis of the work that has been done by a scientist to determine the accuracy and reliablity of the data and the conclusions.

The feedback that should be given by another lab during peer review is based on the data contained in the work. Since the work is not shown here, we can not exactly tell the accurate peer review for the work.

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Answer:

the line of best fit is not reasonable because it has more points below it than above it.

Step-by-step explanation:

Answer:

v=k+5

Kora is 13 yrs old when Venla is 18 yrs old

Answer:

5

Step-by-step explanation:

Cause you can actually get multiple different answeres which you can make a statistical question on