Please help with the question in the image

The simplest form of the given ratio 32 min : 36 min is equal to  

option a. 8 : 9.

Ratio  is equal to

32 min : 36 min

Factors of 32 are = 1, 2, 4, 8, 16, 32

Factors of 36 are = 1, 2, 3, 4, 6, 9, 12, 18, 36

Greatest common factor of 32 and 36 is equal to 4

Simplest form of the given ratio is equal to

32 min : 36 min

= ( 8 × 4 ) min : ( 9 × 4 ) min

'4' get cancelled with other we get,

= 8 min : 9 min

Therefore, the simplest form of the given ratio by taking out common factors is equal to option a. 8 : 9 .

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Answer:

$1770.87

Step-by-step explanation:

Formula;    Simple Interest(I) =  P × R × T/100

= $1770.87

The length of the base is approximately 8.71 units.

What is triangle ?

Triangle can be defined in which it consists of three sides, three angles and sum of three angles is always 180 degrees.

Let's call the two legs of the right triangle a and b, and the hypotenuse c. The hypotenuse is the side opposite the right angle, so in this case, we have c = 29. We also know that one of the acute angles is 71 degrees.

Using trigonometry, we can use the tangent function to find the length of the base:

tan(71) = a/b

We can solve for b by multiplying both sides by b:

b tan(71) = a

Now we can substitute c = 29 and solve for b:

b = c / tan(71)

b = 29 / tan(71)

b ≈ 8.71

Hence, The length of the base is approximately 8.71 units.

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The number of moles is given by the equation n = 0.611 moles

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

PV = nRT   be equation (1)

Divide by RT on both sides of the equation , we get

n = PV / RT

Now , when temperature T = 299 K

The value of pressure P = 3 atm

The value of volume V = 5 Liters

The universal gas constant R = 0.0821

Substituting the values in the equation , we get

n = ( 3 x 5 ) / ( 0.0821 x 299 )

On simplifying the equation , we get

n = 15 / 24.5479

n = 0.611 moles

Therefore , the number of moles is 0.611 moles

Hence , the equation is n = 0.611 moles

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The measure of angle A is 52 degree.

Vertical angles are angles that are opposite of each other when two lines crosses, they are congruent.

Given that;

Since vertical angles are congruent,

Angle A = Angle B

Plug in the given values

( 7x - 18 ) = ( 6x - 8)

Solve for x

7x - 18 = 6x - 8

7x - 6x = -8 + 18

x = -8 + 18

x = 10

Hence, angle A will be;

Angle A = 7x - 18

Plug in x = 10

Angle A = 7( 10 ) - 18

Angle A = 70 - 18

Angle A = 52°

Therefore, angle A is 52 degree.

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Answer:The answer to your question “the sensitivity range for an objective function coefficient is the range of values over which the profit does not change.True or False” Is FALSE.

Answer:

Step-by-step explanation:

y= -2x + 5

The distance d between the student and the mirror is given by the similar triangles are d = 10.5 feet

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the triangles be represented as ΔABC and ΔCDE

Now , they are similar triangles

The measure of AB = height of the school = 30 feet

The measure of BC = distance from the school to the mirror = 50 feet

And ,

The measure of DE = height of the student = 6.3 feet

The measure of CD = distance d between the student and the mirror

So , the corresponding sides of similar triangles are in the same ratio

On simplifying the equation , we get

BC / AB = CD / DE

And , 50 / 30 = d / 6.3

Multiply by 6.3 on both sides , we get

d = ( 5/3 ) x 6.3

d = 31.5 / 3

d = 10.5 feet

Hence , the distance d between the student and the mirror is 10.5 feet

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Answer:2

Step-by-step explanation:

59 to 1 sig. fig= 60

25 to 1 sig fig = 30

Therefore, 60/30 =2

Hope this helps :)

Answer:

2

Step-by-step explanation:

divide the numbers. then find the left furthest critical number.

count to the rifht by desired sig fig. use decimal to mark a place of significant zeros.

If a 2020 study showed that the presence of male pattern baldness and a severe reaction to COVID-19 had a strong association: A. Age is the most likely lurking variable in this scenario.

In this case, the relationship between male pattern baldness and severe COVID-19 reactions may be influenced by age, as older individuals are more likely to experience both male pattern baldness and severe COVID-19 symptoms.

Age could also affect other factors such as overall health and immune system function, which may contribute to the severity of COVID-19 symptoms.

Diet, height, and weight may also be related to overall health and immune system function, but they are less likely to be related specifically to male pattern baldness

Therefore, age is the most likely lurking variable in this scenario.

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Answer: 28, 30, 32

Step-by-step explanation: The first integer is 28, the second is 30, and the third is 32. The difference from the first integer and the last integer should be 4. x is the first integer, so the equation is:

x+x+2+x+4=90

The first integer plus the second integer(x+2) plus the third integer(x+4) equals 90. Now solve.

x+x+2+x+4=90

3x+6=90

    -6  -6

3x=84

/3   /3

x=28

So the first integer is 28, second is 30, third is 32.

Hope this helps!

Answer:

To complete the first set of data so that it has six values and a mean of 21, you can add the following values: 20, 20.5, 20.5, 21.5, 21.5, 21.

The mean of this set is calculated as follows: (20 + 20.5 + 20.5 + 21.5 + 21.5 + 21) / 6 = 21.

To complete the second set of data so that it has six values and a mean of 21, you can add the following values: 20, 21, 21, 21, 21, 22.

The mean of this set is calculated as follows: (20 + 21 + 21 + 21 + 21 + 22) / 6 = 21.

The probability of three or fewer heads on four flips of a fair coin is 0.375. This can be determined by calculating the probability of zero, one, two and three heads, which are 0.0625, 0.25, 0.375 and 0.25 respectively. The total of these probabilities is 0.375.

The probability of zero heads on four flips of a fair coin is 0.0625 (1/16).

The probability of one head on four flips of a fair coin is 0.25 (4/16).

The probability of two heads on four flips of a fair coin is 0.375 (6/16).

The probability of three heads on four flips of a fair coin is 0.25 (4/16).

The total probability of three or fewer heads on four flips of a fair coin is 0.375 (1/4).The probability of three or fewer heads on four flips of a fair coin is 0.375. This can be calculated by determining the probability of zero, one, two and three heads. The probability of zero heads is 0.0625, the probability of one head is 0.25, the probability of two heads is 0.375, and the probability of three heads is 0.25. When these probabilities are added together, the total probability of three or fewer heads on four flips is 0.375. This means that the probability of getting three or fewer heads on four flips of a fair coin is 0.375.

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Answer: You will walk 2.795 miles

Step-by-step explanation:

You can solve this using the Pythagorean theorem which is a^2 + b^2 = c^2

Plug in your numbers so you have 2.5^2 + 1.25^2 = c^2

Simplify that down to 6.25 + 1.5625 = c^2

Add   7.8125 = c^2

Find the square root of each of them.   2.795 = c

I don't know how you want me to round the answer so I just did it to the nearest thousandths.

Answer:

52.40

Step-by-step explanation:

Given that,

Keith's bookshelf has 5 shelves.

He has 262 books.

To find the number of books he can put on each shelf.

 [tex]required \\ number = \frac{Total Books}{Total Shelves}\\\\= \frac{262}{5} = 52.40[/tex]

Hence 52.40 is the right answer.

Answer:

you in BBC FDA's in BBC FDA's in just had not had not had not had on under end

Step-by-step explanation:

no exception

Answer:

The graph in the attached figure

we have

----> inequality A

The solution of the inequality A is the shaded area below the dashed line

The slope of the dashed line A is  positive m=2

The y-intercept of the dashed line A is (0,-5)

The x-intercept of the dashed line A is (2.5,0)

----> inequality B

The solution of the inequality B is the shaded area above the dashed line

The slope of the dashed line B is  negative m=-3

The y-intercept of the dashed line B is (0,1)

The x-intercept of the dashed line B is (1/3,0)

The solution of the system of inequalities is the shaded area between the two dashed lines

using a graphing tool

The graph in the attached figure

GIVE ME BRAINLIEST IF IM CORRECT :)

The distance between the student and the mirror is apprοximately 29.41 feet.

Distance is a numerical measurement of hοw far apart or how far away objects or lοcations are from each other. It is a physical quantity that is usually expressed in units such as meters, kilοmeters, miles, οr feet. Distance is a scalar quantity, meaning it οnly has magnitude and nο direction.

To sοlve the problem, we can use the similar triangles prοperty of geometry. Let's denοte the distance between the student and the mirrοr as d. Then, we can set up the follοwing proportion:

(student height + height of mirrοr) / distance frοm student to mirror = height of schοol / distance from mirrοr to school

Plugging in the given values, we get:

(5.1 + 0) / d = 30 / (50 + d)

Simplifying and sοlving for d, we get:

5.1d + 0 = 150

d = 29.41

Therefοre, the distance between the student and the mirrοr is apprοximately 29.41 feet.

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The true statement is (b) Function 2 has the lowest average rate

We start by calculating the average rates of each function

The interval is given as [1, 2]

For Function 1

We have

f(1) = -3

f(2) = 3

The average rate is then calculated as

Average rate = [f(2) - f(1)]/[2 - 1]

Average rate = (3 + 3)/1

Average rate = 6

For Function 2

We have

f(1) = (1/4)^1 + 4 = 4.25

f(2) = (1/4)^2 + 4 = 4.0625

The average rate is then calculated as

Average rate = [f(2) - f(1)]/[2 - 1]

Average rate = (4.0625 - 4.25)/1

Average rate =-0.1875

For Function 2

We have

f(1) = -2

f(2) = 0

The average rate is then calculated as

Average rate = [f(2) - f(1)]/[2 - 1]

Average rate = (0 + 2)/1

Average rate = 2

The lowest average rate is -0.1875 for function 2

Hence, function 2 has the least rate

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Figure ABCD is a square. If AC+BD=56, the length of AX is 28.

Since ABCD is a square, all sides have the same length, let's call it "x".

We know that the sum of the diagonals of a square is equal to twice the length of a side, so AC + BD = 2x.

Therefore, 56 = 2x, and x = 28.

So the length of AX (or any side of the square) is 28 units

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Answer:

The value of two numbers if their sum is 12 and their difference is 4 are 8 and 4.

Step-by-step explanation:

I hope this helped

Answer:its 5

Step-by-step explanation: cuz

Answer:2y32 is the answer u the graph line and some o f the sqaures to count it

Step-by-step explanation:

The simplified expression is given as follows:

-27j/10 - 1/8.

The expression for this problem is defined as follows:

-j/5 + 3/4 - (5j/2 + 7/8).

The negative sign means that every term in the parenthesis has the signal exchanged, hence:

-j/5 + 3/4 - 5j/2 - 7/8.

Then the expression is simplified combining the like terms, as follows:

Meaning that the expression is of:

-27j/10 - 1/8.

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The number of liters of water that can be conserved will be 11.76 liters. The initiative by the company is beneficial for water conservation.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

The number of liters of water that can be conserved is given as,

⇒ 28% of 42

⇒ 0.28 x 42

⇒ 11.76 liters

The number of liters of water that can be conserved will be 11.76 liters. The initiative by the company is beneficial for water conservation.

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According to the information in the table, the graph would look like the one in the attached image.

To graph the information in the table we must carefully observe the information. In this case, the relationship is decreasing because the number of infected is decreasing as time increases. In accordance with the above, the curve that shows this relationship is a decreasing curve.

In this case, we must locate the time on the x axis and the infected on the y axis and mark a point in the areas where the data coincide. Later we must graph a line that joins the points and our graph would be finished.

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The number of small ball bags she will need is 7 small bags, the correct option is A.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given that;

Need of flour for cakes= 17 2/5 pounds

Now,

There are 4 large bags, and each one has 4 pounds.

She buys all of the large bags, she already has;

4x4=16

16 pounds. So, she only needs

17 2/5 -16= 1 2/5

=5/5+2/5

=7/5

1 2/5 pounds more, this fraction is equals to 7/5 pounds.

The small bags only contains 1/5 pounds of flour so,

7/5/1/5

=7*5/1*5

=7

Therefore, by algebra the answer will be 7 bags

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The complete question is;

Erika has a baking company and needs to purchase 17 pounds of flour for her cakes. The Baking Goods Store sells two different-sized bags of flour. The table shows the amounts of flour in the bag, the number of bags at the store, and the cost per bag of flour. Size Pounds 1 Bags for Sale 75 Cost per Bag Small $0.84 5 Large 4 4 $16.80 If Erika buys all of the large bags, how many small bags will she need? A. 7 small bags B. 12 small bags C. 28 small bags D. 71 small bags

Answer: Increases by 16 students per year

Step-by-step explanation:

100% = 800

2% = x

So between 100% and 2%, the scale factor would be 50 since 100 / 2 = 50

Then 800 / 50 would be 16

So..

1 Year = 816 students

2 Years = 832 students

3 Years = 848 students

4 Years = 864

And so on..