Find the lowest terms
fraction that's equal
to 0.75.

Answer:

\(SA = 2.94 \, \textrm{units}^2\)

Step-by-step explanation:

The surface area of a regular 3D figure can be represented as:

\(SA = A_{\textrm{\,1 side}} \cdot (\# \textrm{ of sides})\).

Therefore, the surface area of a cube is:

\(SA = s^2 \cdot 6\)

where \(s\) is the length of a side.

To solve this problem, simply input the given side length into the above formula:

\(SA = 0.7^2 \cdot 6\)

and simplify.

\(SA = 0.49 \cdot 6\)

\(SA = 2.94 \, \textrm{units}^2\)

Answer: 22

Step-by-step explanation:

Ok, so the way I do it I multiply then divide.

For Monday I did: ?/220=55/100. what you would do is multiply across then divide by the other number, so 220x55 which is 12100 then you will divide it by 100. So 121 people voted on Monday

For Tuesday: Using the same method. ?/220=45/100 you will multiply 45x220 giving you 9900 then you will divide by 100 giving you 99. 99 people voted on Tuesday.

So to find the DIFFERENCE you need to subtract, so 121-99 leaving you with 22. Also, if you are confused how on where I got 100 from you put the percentage over 100, because percentages go from 0%-100% so you put the partial percentage over the maximum (100)  

Answer:

photo isn't clear, first of all u have to click clear picture

The answer is b, my teacher explained it to me on a test. Don't know if he's right because he was a substitute.

Answer: Option 2

The line starts at an x of -4, so the domain is from -4 to infinity since the arrow goes off the graph, meaning it keeps going. The line starts on a y of 2, and the line continues up with the arrow pointing slightly up, so the range is from 2 to infinity.

The domain is from left to right, and the range is down to up

Answer:

2.  {x | x ≥ −4}; {y | y ≥ 2}

Step-by-step explanation:

Let's try to determine the domain first. Look at the x values. The function begins at -4, so our possible domain values also begin at -4, and the values continue positively after -4.

Therefore, our domain is: Domain: {x ≥ -4}.

Or, we could assign our domain using interval notation: [-4,infinity).

Our range, or y values, begin at 2 and continue positively after 2.

Therefore, our range is: Range: {y ≥ 2}.

Again, we could use interval notation to assign our range: [2,infinity)

Therefore, the answer would be

2. {x | x ≥ −4}; {y | y ≥ 2}

Look at the picture to help you better understand

By Using the table to work out the values of a , b , c , and d. X y = 2 x + 1 − 3 a − 2 − 3 − 1 b 0 1 1 c 2 d a = b = c = d =

Therefore, The solutions are : a = -3, b = 0, c = 6, d = 9

Equation:

In mathematics, an equation is an expression that indicates equality of two expressions by connecting them with the equal sign = . The word "equation" and related words in other languages ​​can have slightly different meanings. For example, in French an equation is defined as containing one or more variables, whereas in English a well-formed formula consisting of two expressions connected by an equal sign is an equation.

Given:

This table;

x             y = 3x+3

-3                -6

-2                 a

-1                  b

0                 3

1                  c

2                 d

To Find:

Values of a, b, c and d

Consider the 2nd row,

x = -2, y = a

Putting the values in the equation,

we get,

   a = 3(-2) + 3

⇒ a = -3

Consider the 3rd row,

x = -1, y = b

Putting the values in the equation,

we get,

   b = 3(-1) + 3

⇒ b = 0

Consider the 5th row,

x = 1, y = c

Putting the values in the equation,

   c = 3(1) + 3

⇒ c = 6

Consider the 6th row,

x = 2, y = d

   d = 3(2) + 3

⇒ d = 9

The final answer is,

a = -3, b = 0, c = 6, d = 9.

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Answer:

x = 8

y = 21

Step-by-step explanation:

The angle (7x + 12)° and the angle (12x-28)° are alternate interior angles and so has got the same measurement

7x + 12 = 12x - 28

12 + 28 = 12x - 7x

40 = 5x divide both sides by 5

8 = x

The sum of angle (12x - 28)° and (9y - 77)° must be equal because they make a straight line with the measure of 180°

12x - 28 + 9y - 77 = 180 we already found the value of x as 8 so let's rewrite the equation

12 × 8 - 28 + 9y - 77 = 180

96 - 28 - 77 = 180 add like terms

9y - 9 = 180

9y = 189 divide both sides by 9

y = 21

Answer:

it should be 2.9 .

Step-by-step explanation:

Answer: 48 cm^2

Step-by-step explanation:

The equation for the area of a triangle is 1/2(base*height). Plug in the numbers to get an equation of 1/2(8*12). 8*12 = 96. Now divide by 2. 96/2 = 48.

Answer:

48 cm^2

Step-by-step explanation:

a triangle area is hb/2

so 8*12=96

96/2=48 therefore 48 is the answer.

The solutions to the quadratic equation x² = -7x - 8 are x equals  \(\frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\).

Given the quadratic equation in the question:

x² = -7x - 8

To find the solutions of the quadratic equation x² = -7x - 8, we can rearrange it into standard quadratic form, which is ax² + bx + c = 0, and apply the quadratic formula.

x² = -7x - 8

x² + 7x + 8 = 0

a = 1, b = 7 and c = 8

Plug these into the quadratic formula: ±

\(x = \frac{-b \± \sqrt{b^2 -4(ac)}}{2a} \\\\x = \frac{-7 \± \sqrt{7^2 -4(1*8)}}{2*1} \\\\x = \frac{-7 \± \sqrt{49 -4(8)}}{2} \\\\x = \frac{-7 \± \sqrt{49 - 32}}{2} \\\\x = \frac{-7 \± \sqrt{17}}{2} \\\\x = \frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\)

Therefore, the values of x are \(\frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\).

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If q is an odd number and the median of q consecutive integers is 120, then the largest of these integers is option (A) (q-1) / 2 + 120

The number q is an odd number

The median of q consecutive integers = 120

Consider the q = 3

Then three consecutive integers will be 119, 120, 121

The largest number = 121

Substitute the value of q in each options

Option A

(q-1) / 2 + 120

Substitute the value of q

(3-1)/2 + 120

Subtract the terms

=2/2 + 120

Divide the terms

= 1 + 120

= 121

Therefore, largest of these integers is (q-1) / 2 + 120

I have answered the question in general, as the given question is incomplete

The complete question is

if q is an odd number and the median of q consecutive integers is 120, what is the largest of these integers?

a) (q-1) / 2 + 120

b) q/2 + 119

c) q/2 + 120

d) (q+119)/2

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She can select one freshman and one sophomore in 72 ways.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is Phyllis who wants to select one freshman and one sophomore to attend a conference. She teaches 8 freshman and 9 sophomores

Total number of possible combinations are -

C[8,1] x C[9,1]

8!/(7! x 1!) x 9!/(8! x 1!)

8 x 9

72

Therefore, she can select one freshman and one sophomore in 72 ways.

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The general solution of the equation \(\(x = p(t) x g(t)\)\) can be represented as the sum of a particular solution \(\(x_p\)\) and the general solution \(\(x_c\)\) of the corresponding homogeneous equation. This implies that any solution of the original equation can be expressed as the sum of these two components, and the sum satisfies the equation.

In order to demonstrate this, we establish two key points. Firstly, we show that any solution of the original equation can be written as the sum of a particular solution \(\(x_p\)\)  and a solution of the homogeneous equation. By subtracting \(\(x_p\)\) from the original equation, we define a new variable\(\(y\)\) that satisfies the homogeneous equation. Therefore, any solution \(\(x\)\) can be expressed as \(\(x = x_p + y\)\), with \(\(x_p\)\) as a particular solution and \(\(y\)\) as a solution of the homogeneous equation.

Secondly, we establish that the sum of a particular solution \(\(x_p\)\) and a solution of the homogeneous equation \(\(x_c\)\) satisfies the original equation. By substituting \(\(x = x_p + x_c\)\) into the equation \(\(x = p(t) x g(t)\),\) we distribute \(\(p(t) g(t)\)\) and observe that \(\(x_p\)\) satisfies the equation. Furthermore, we can rewrite the equation as \(\(x_c = p(t) x_c g(t)\)\). Ultimately, after substituting these expressions back into the equation, we find that \(\(x_p + x_c\)\) is equivalent to \(\(x_p + x_c\)\).

Consequently, we have successfully shown that the general solution of \(\(x = p(t) x g(t)\)\) is the sum of a particular solution \(\(x_p\)\)and the general solution \(\(x_c\)\)of the corresponding homogeneous equation.

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The requirements for a hypothesis test are satisfied.

To test the claim that the rate of polio is less for children given the Salk vaccine, we need to check if the requirements for a hypothesis test about two population proportions are met. The requirements are:

1. The samples are simple random samples and independent.
2. For each of the two groups, the sample size is at least 1000.

In this case, the study involved 401,974 children who were randomly assigned to two groups: the treatment group with 201,229 children and the placebo group with 200,745 children. This satisfies the first requirement, as the samples are simple random samples and independent. The sample size for both groups is also larger than 1000, meeting the second requirement.

Therefore, the requirements for a hypothesis test are satisfied, and we can proceed with testing the claim that the rate of polio is less for children given the Salk vaccine.

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Answer:

4.5 meters = 450 cm

450 / 25 cm = 18cm

This means every centimeter on the plan equals 18 centimeters in actuality.

Step-by-step explanation:

The mountain range would cause allopatric speciation, resulting in genetic divergence and the formation of two distinct populations of sheep adapted to their respective environments.



The mountain range separating the two populations of sheep would likely lead to allopatric speciation. Over time, the isolated populations would experience different selective pressures, leading to genetic divergence. Mutations, genetic drift, and natural selection would contribute to the accumulation of genetic differences.



The distinct environments on either side of the mountain range may drive adaptations specific to each population. As reproductive isolation develops, the two groups may become distinct species.

The mountain range acts as a geographical barrier, promoting allopatric speciation and resulting in two separate and genetically unique populations of sheep.

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The probability that exactly five students among the 12 visiting Mexico will contract a stomach virus is approximately 0.2173 and the probability that more than two students among the 12 visiting Mexico will contract a stomach virus is approximately 0.4866.

What is probability?

Probability is a branch of mathematics that deals with quantifying the likelihood or chance of an event occurring.

Probability that exactly five students contract a stomach virus:

Using the binomial probability formula, we have:

\(P(X = 5) = (12C5) * (0.23^5) * (0.77^7)\)

\(P(X = 5) = (792) * (0.23^5) * (0.77^7)\)

P(X = 5) ≈ 0.2173 (rounded to four decimal places)

Therefore, the probability that exactly five students among the 12 visiting Mexico will contract a stomach virus is approximately 0.2173.

Probability that more than two students contract a stomach virus:

We need to calculate the probabilities of three, four, and five students contracting a stomach virus and then sum them up.

P(X > 2) = P(X = 3) + P(X = 4) + P(X = 5)

Using the binomial probability formula for each case:

\(P(X = 3) = (12C3) * (0.23^3) * (0.77^9)\\\\P(X = 4) = (12C4) * (0.23^4) * (0.77^8)\)

P(X = 5) ≈ 0.2173 (calculated previously)

Now, let's calculate each probability and sum them up:

P(X > 2) = P(X = 3) + P(X = 4) + P(X = 5)

\(P(X > 2) = (12C3) * (0.23^3) * (0.77^9) + (12C4) * (0.23^4) * (0.77^8) + 0.2173\)

P(X > 2) ≈ 0.4866 (rounded to four decimal places)

Therefore, the probability that more than two students among the 12 visiting Mexico will contract a stomach virus is approximately 0.4866.

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Answer:

50.26 in

Step-by-step explanation:

First you need the circumference of half of a circle.

Circumference = diameter x pi. The radius is 9, so the diameter is 18. 18 * 3.14 = 56.52. But you need half of that, so 56.52 / 2 = 28.26

Then add the other 3 sides

28.26 + 5 + 12 + 5 = 50.26

Answer:

lungitud es 5718374+383739=2588262836372937382682

Answer:

= -5/6

Step-by-step explanation:

\(12x+23=13\\12x=-23+13\\12x=-10\\x=-\frac{10}{12} \\\\x=-\frac{5}{6}\)

Hope this helped! Have a good day.

\(12x + 23 = 13\)

\(12x = 13 - 23\)

\(12x = - 10\)

\(x = \frac{ - 10}{12} \)

\(x = \frac{ - 5}{6} \)

Answer:

half that's 1/2

product that's multiplication ×

therefore (x*y)/2- 5z

Answer: Since 0 means nothing it technically is 1 even tho its a decimal and it is shaded (1/10) = 0.1 = 1 it's all 1.

Step-by-step explanation: 0.1 x 1 =0.1

The range of possible lengths for the third side is  [46.13,57.27] .

What is pythagoras theorem?

The Pythagorean theorem or Pythagoras' theorem could be a elementary relation in parabolic geometry between the 3 sides of a trigon.

Main Body:

To find range of possible lengths for the third side , we will use Pythagoras theorem : a²+b² = c²

given =   24 ft , 52 ft​

24² =576

52² =2704

2704+576=3280

√3280 =57.27

AND

52² = 24²+b²

b²= 2704-576

b=√2128

b = 46.13

range of possible lengths for the third side is [46.13,57.27]

Hence the range of third side is found out.

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Answer:

50

Step-by-step explanation:

Answer:

The bills total was 50$

Step-by-step explanation:

So 20% is equal to 10 dollars.In order to find out the total you need to reach 100% so 5 mulitplied by 20 is 100 so 10 multiplied by 5 is 50 therefore the bill was 50.

The situation that results in a final value of zero is when the temperature of -5 Fahrenheit is increased by 5 Fahrenheit, resulting in a final temperature of zero Fahrenheit

The situation that results in a final value of zero is when the temperature is equal to -5 Fahrenheit, which is the same as 5 degrees below zero. This is because a change of 5 degrees Fahrenheit in either direction represents the same temperature difference.

Similarly, if an object or location is at a depth of 24 meters below sea level, and it is then raised by 24 meters, the final distance above sea level will be zero, which means the object or location is at sea level.

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Answer:

measure of BAD=180-110

measure of BAD=180-110 =70

Answer:

\( \boxed{ \bold{ \boxed{ \sf {11.11\%}}}}\)

Step-by-step explanation:

Given,

Cost price of three thermos flask = 1080

Selling price of each thermos flask = 400

Finding the selling price of three thermos flask

Since, the cost of 3 thermos flask is more than that of 1 thermos flask. So, the cost of 1 thermos flask is multiplied by 3 ( i.e 400 × 3 = 1200 )

Here, the selling price is greater than cost price.

So, there is profit.

And we know that,

\( \sf{profit = sp \: - \: cp}\)

⇒\( \sf{1200 - 1080}\)

⇒\( \sf{120}\)

Profit amount = 120

Finding the profit percentage

\( \sf{profit\% \: = \frac{profit}{cp} \times 100 \%}\)

⇒\( \sf{ \frac{120}{1080 } \times 100\%} \)

⇒\( \sf{11.11\%}\)

Hope I helped!

Best regards!!

A sprinkler rotates across 120 degrees while watering a landscape. The sprinkler is 9 meters away from the farthest point reached by the water. The area of field watered is  84.848 m².

We need to locate the region of the grass that has been watered by the sprinkler.

We have a 9-meter distance and a 120-degree angle.

To begin, use the following formula to convert a given angle from degrees to radians:

radians = degree × π/180

= 120 × π/180

= π × 2/3

= 2π / 3

= 2.095 approx.

As a result, the formula for the area of the grass formed by water is:

A= 1/2 × r² ×  2.095

and because the radius is r=9 meters, the area equals:

A= 1/2 × 9² ×  2.095

=  1/2 × 81 ×  2.095

= 84.848 approx.

= 84.848 m².

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Answer:

The answer is approximately 86°

Step-by-step explanation:

Area of sector =ß/360×pir²

90.6=ß/360×22/7×11²

90.6=2662ß/2520

cross multiply

90.6×2520=2662ß

228312=2662ß

divide both sides by 2662

2662ß÷2662=228312÷2262

ß≈86°