Find the value of
4.87 + 6.5
7.6 - 3.76
Give your answer as a decimal.
Write down all the figures on your calculator display.

There are 128 four-digit numbers that satisfy the given conditions (exactly one digit 3 and exactly one digit 7, with 7 appearing before 3).

To determine the number of 4-digit numbers that satisfy the given conditions (exactly one digit 3 and exactly one digit 7 with 7 appearing before 3), we can break down the problem step by step.

Step 1: Choose the positions of 3 and 7.

Since 7 must appear before 3, we have two possible cases:

Case 1: 7 is in the thousands place, and 3 is in the hundreds place.

Case 2: 7 is in the hundreds place, and 3 is in the thousands place.

Step 2: Determine the digits in the remaining two positions.

In the remaining two positions (tens and units place), we have eight possible digits to choose from (0, 1, 2, 4, 5, 6, 8, 9). This is because we have used the digits 3 and 7, leaving eight options for the remaining two positions.

Step 3: Calculate the total number of valid numbers.

For each case in Step 1, we multiply the number of choices from Step 2 to get the total count.

Case 1: 7 in thousands place, 3 in hundreds place.

In this case, we have 8 choices for the tens place and 8 choices for the units place. The total count for Case 1 is 8 * 8 = 64.

Case 2: 7 in hundreds place, 3 in thousands place.

Similarly, we have 8 choices for the tens place and 8 choices for the units place. The total count for Case 2 is also 8 * 8 = 64.

Step 4: Sum up the counts from both cases.

To get the final answer, we sum up the counts from both cases:

64 (Case 1) + 64 (Case 2) = 128.

Therefore, there are 128 four-digit numbers that satisfy the given conditions (exactly one digit 3 and exactly one digit 7, with 7 appearing before 3).

To know more about digits , refer here :

https://brainly.com/question/30142622#

#SPJ11

The simplified expression for (f-g) (x) is C) x² +x +5; domain is all real numbers

We are given that

f(x) = x +9

g(x)=4-x²

To find (f - g)(x), we simply subtract g(x) from f(x)

(f - g)(x) = (4-x²)-  (x +9)

(f - g)(x) = (4-x²)-  x - 9

(f - g)(x) =  - 5-x² - x

(f - g)(x) =   x² +x +5

The domain of (f-g)(x) is all real numbers.

For more questions on Domain of functions, visit

brainly.com/question/29145252

#SPJ1

The following steps of solving for the roots of 2x² - 4x -3 = 0 were retrieved from another source Step 1 2x² - 4x = 3 Step 2 2(x² - 2x) = 3 Step 3 2(x² - 2x + 1) = 3 + 1 Step 4 2(x - 1)² = 4 From this, we can see that on Step 3, Tran made a mistake of adding 1 to 3. As we can see, 2(x² - 2x + 1) = 2x² - 4x + 2. That means, instead of adding 1, it should have been 2. Therefore, the step that Tran first made an error is Step 3.

Answer:

1/6

3/10

1 7/8

1 6/7

1 5/9

should be anyway

The total surface area of the window is w + 3\(w^{2}\) +\(\pi\)\(w^{2}\)/8

A semi-circle is a part of a full circle cut into two equal part.

The base of the semicircle is taken to be the diameter of the circle because it was cut through its diameter.

width of the rectangle = w

Since the height of the rectangular part is 1 more than 3 times the width.

height = 1 + 3w

The diameter of the semi-circle is the width of the rectangle = W

So, its radius is = w/2

Area of the rectangle = height x width = (1 + 3w) x w

                                    = w + 3\(w^{2}\)

Area of the semi-circle = \(\pi\)\(r^{2}\)/2

But r = w/2

Therefore,

Area of semi-circle = \(\pi\)\((w/2)^{2}\)/2

                                = \(\pi\)\(w^{2}\)/8

Total surface area of the rectangular window = area of semicircle + area of rectangle

     = (w + 3w +  \(\pi\)\(w^{2}\)/8) m

In conclusion, the total surface area of the rectangular window is  (w + 3w +  \(\pi\)\(w^{2}\)/8) m

Learn more about semi-circles: https://brainly.com/question/15822332

#SPJ1

Answer:

Explanation:

• Loan Amount = $500

• Time = 2 weeks

• The amount paid pack = $520

We want to determine the simple interest rate.

First, find the amount paid as interest:

Answer:

10 i think bc the only number you have and x is 10 which is equal to y

brainliest?

Step-by-step explanation:

When t = -2, the value of x is -4, where x is defined as x = 2t.

To determine the value of the function x in terms of t and evaluate it at a given value of t, we need to substitute the given value of t into the function and calculate the result. In this case, we have x = 2t and y = t^3. We want to find the value of x when t is equal to -2.

Substituting t = -2 into the function x = 2t:

x = 2(-2)

x = -4

Therefore, when t = -2, the value of x is -4. It's important to note that we are only evaluating the value of x at t = -2, not finding a general expression for x in terms of t. This process involves substituting the given value into the expression for x to find the specific value at that point.

Therefore, when t = -2, the value of x is -4.

To know more about function refer here:

https://brainly.com/question/31062578

#SPJ11

Answer:

3, 5, 7, 9, 11, 13 and keep going I hope this helped!

Step-by-step explanation: Its going by 2's so just add 2 to the numbers!

Answer:

No, The domains of a same number are said twice.

Step-by-step explanation:

If it is the range (y) it doesn't matter twice or not.

Answer:

The given relation is not a function.

Step-by-step explanation:

Given the relation: {(3,2) (8,16) (13,8) (14,14) (20,5) (24,8) (27,2) (31,6) (31,3)}

A relation is any set of ordered pairs, which can be thought of as (input, output).

A function is a relation in which no two ordered pairs have the same first component (x-values or input) and different second components (y-values or output).

Another way to find out whether a relation or a set of given points represent a function through the Vertical Line Test.  If a vertical line intersects the graph in all places at exactly one point, then the relation is a function.

To use the vertical-line test, imagine dragging a ruler held vertically across the  graph from left to right. If the graph is that of a function, the edge of the ruler would hit the graph only once for every x -value. If you do this for the given set of points, every vertical line intersects the graph in at most one point, except for the x-value = 31, where the vertical line contains two points (in red dots) in it:  (31,6) and (31,3).  The given graph fails the Vertical Line Test, which means that it is not a function.

Attached is a screenshot of the graph where I performed the Vertical Line Test.  

Please mark my answers as the Brainliest if you find my explanation helpful :)

we need to multiply this number by 100 to get the  as a percentage:

0.1806 * 100 = 18.06%

The probability of choosing a senior can be calculated using the formula:

P(senior) = (102/562) * 100

P(senior) = 18.06%

This means that there is an 18.06% chance of choosing a senior if a student is randomly selected from the school.

First, we need to calculate the total number of students in the school by adding together the number of students in each class:

Total = 165 + 145 + 114 + 102 = 562

Next, we need to calculate the probability of choosing a senior by taking the number of seniors enrolled in the school (102) and dividing it by the total number of students in the school (562).

102/562 = 0.1806

Finally, we need to multiply this number by 100 to get the probability as a percentage:

0.1806 * 100 = 18.06%

Learn more about probability here

https://brainly.com/question/11234923

#SPJ4

Answer:

pi/6, 11pi/6

Step-by-step explanation:

so first we divide both sides by 2root 3

we then get cos theta = 3/2root3

do some rationalizing, it turns to cos theta = root 3/2

from here we take the cosine inverse of root3/2 to get our basic angle (pi/6)

from here we want where cos theta is positive, using the CAST circle or ASTC circle, from top right to bottom right, we find that cos theta is positive at theta, 2pi - theta

Now you haven't given a domain, so ill assume [0,2pi]

which means you have cos theta = theta, 2pi - theta

therefore = pi/6, 2pi - pi/6

which simplifies to = pi/6, 11pi/6

Answer:

see explanation

Step-by-step explanation:

Given

2\(\sqrt{3}\) cosΘ = 3 ( divide both sides by 2\(\sqrt{3}\) )

cosΘ = \(\frac{3}{2\sqrt{3} }\) = \(\frac{3\sqrt{3} }{6}\) = \(\frac{\sqrt{3} }{2}\) , thus

Θ = \(cos^{-1}\) (\(\frac{\sqrt{3} }{2}\) ) = 30°

Since cosΘ > 0 then Θ in first/ fourth quadrants

This Θ = 360° - 30° = 330°

Solution Θ = 30°, 330° for 0 < Θ < 360

From two pints (4 cups) of milk, you can make 12 servings.

To find the number of servings that can be made from two pints of milk, we first need to convert the given measurements into cups.

Given that 1 pint is equal to 2 cups, we can determine that two pints would be 2 pints * 2 cups/pint = 4 cups of milk.

The recipe states that 3 cups of milk are required to make 9 servings. This implies that each serving needs 3 cups / 9 servings = 1/3 cup of milk.

To determine the number of servings that can be made from 4 cups of milk, we divide the total amount of milk by the amount of milk required per serving:

4 cups / (1/3 cup per serving) = 4 cups * (3/1) = 12 servings.

For more questions on pints

https://brainly.com/question/27434208

#SPJ8

6,3:y=4,2:2,4

y=3,6

Chọn a

Answer:

Where is the fourth diagram?

Correct question:

Jada walks up to a tank that can hold up to 10 gallons. When it is active, a drain empties water from the tank at a constant rate. When Jada first sees the tank, it contains 7 gallons of water. Three minutes later, the tank contains 5 gallons of water. At what rate is the amount of water in the tank changing? use a signed number, and include the unit of measurement in your answer.

Answer: - 2/3

Step-by-step explanation:

Given the following :

Amount of gallon tank can hold = 10

tank drains at a constant rate :

First look tank contains 7 gallons

After 3 minute,

Tank contains 5 gallons

Thus signifies a 2 gallon decrease in volume of water after 3 minutes

Therefore, the rate of change =( change in volume) / time

Rate of change = (final volume - initial volume ) / 3

(5 - 7)/ 3 = - 2/3

3\(x^4\) + 1 is equivalent to \(x^{(4/2)}\) in terms of asymptotic growth rate. The value of 3\(x^4\) + 1 is O(\(x^{(4/2)}\)) and \(x^{(4/2)}\) is O(3\(x^4\) + 1).

To show that 3\(x^4\) + 1 is O(\(x^{(4/2)}\)), we need to find a constant C and a value of x such that:

|3\(x^4\) + 1| <= C|\(x^{(4/2)}\)|

For x >= 1, we can say that:

3\(x^4\) + 1 <= 4\(x^4\)

Taking the square root of both sides, we get:

sqrt(3\(x^4\) + 1) <= 2x²

Thus, we can choose C = 2 and x0 = 1, and we have:

|3\(x^4\) + 1| <= 2|\(x^{(4/2)}\)| for all x >= 1

Therefore, 3\(x^4\) + 1 is O(\(x^{(4/2)}\)).

To show that \(x^{(4/2)}\) is O(3\(x^4\) + 1), we need to find a constant C and a value of x such that:

|\(x^{(4/2)}\)| <= C|3\(x^4\) + 1|

For x >= 1, we can say that:

\(x^{(4/2)}\) <= x²

Thus, we can choose C = 1 and x0 = 1, and we have:

|\(x^{(4/2)}\)| <= |3\(x^4\) + 1| for all x >= 1

Therefore, \(x^{(4/2)}\) is O(3\(x^4\) + 1).

Since both 3\(x^4\) + 1 is O(\(x^{(4/2)}\)) and \(x^{(4/2)}\) is O(3\(x^4\) + 1).

Learn more about asymptotic growth at

https://brainly.com/question/28918543

#SPJ4

Answer:  resultant

Step-by-step explanation:

Step-by-step explanation:

a) y=x;y=kx

36=3k

divide both sides by 3

k=12

b) z=1/x;z=K/x

2=k/4

k=2×4;K=8

c) z=cy^n

let c=1,y=2,n=3

z=1×2³

Z=2³

Z=8

where C,Y,N are Real number

y = 4*x^2 represents the direct proportion relationship between y and x. The inverse proportion of z and x can be expressed as z = 8/x, equivalent to z = c y^n with c=8 and n=-1.

Since y is directly proportional to x^2, we can express y as y = k*x^2, where k is the constant of proportionality. Given that when x = 3, y = 36, we can replace the x and y values to find k. Hence, 36 = k * 3^2, leading to k = 4.

Therefore, the equation y in terms of x is y = 4*x^2.

z is inversely proportional to x, which means z = c/x, where c is a constant. With x = 4, and z = 2, replace the x and z values to find c. Hence, 2 = c/4, resulting in c = 8. Thus, the equation is z = 8/x. Comparing this with z = c y^n, we see that c = 8 and n = -1 (because y is x in this case and it's in the denominator hence the negative exponent).

https://brainly.com/question/35550885

#SPJ2

Answer:

x = 3

y = 0

Step-by-step explanation:

Answer:

Your answer would be:
13.25

128 books in use + 84 books in the collection box =212 reference books on the shelf

212 books / 16 shelves =13.25 per shelf

Logically the answer 13.25 wouldn't make sense because you can't put a 25th of a book on a shelf, so that means you will need to put the "0.25 book" away. Technically your answer would be 13. Due to the question, however, it would be 13.25.

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

The domain of the exponential function shown in the graph is x ≥ -1.

Hence the correct option is (D).

From the given graph we can see that the function has value for all the positive values of x since the value of graph exist for the each points on positive X axis.

The right end going towards the infinity.

And the left end trying to reach x = 0.

Hence the actual domain of the function is 0 < x < ∞.

Hence the best suited choice which describes the domain perfectly is x ≥ -1.

Hence the correct option is (D).

To know more about domain here

https://brainly.com/question/2264373

#SPJ4

The question is incomplete. The complete question will be -

It is the picture down below

Answer:

Step-by-step explanation:

Answer:

bottom right and the middle one from the left

Answer:

c

Step-by-step explanation:

We apply permutation formula to the number of participants considering that there are no ties and find out that there are 60 different outcomes possible if there are no ties.

It is given to us that -

There are 5 participants - Abe, Bobby, Charles, Devin, and Edwin

We have to find out the number of different 1st - 2nd - 3rd place outcomes that are possible if there are no ties.

Considering that there should be no ties,

If we select one person, say Abe, then there are 4 different ways remaining for the second place in the race.

Similarly, assuming that Abe ranked 1st in the race and Bobby ranked 2nd in the race, there are 3 different ways remaining for the third place in the race.

Continuing like this, the 5 different participants can be ranked accordingly such that there are no ties.

For this situation, we have to find the permutation where -

Total number of objects (in this case, participants) = n = 5

and, total number of objects selected = r = 3

We know that the formula for permutation is -

\(P = \frac{n!}{(n-r)!}\\\)

Substituting the values of 'n' and 'r' in the above equation, we have

\(P = \frac{n!}{(n-r)!}\\= > P = \frac{5!}{(5-3)!}\\= > P = 60\)

Thus, by applying permutation formula, we find out that there are 60 different outcomes possible if there are no ties.

To learn more about permutations visit https://brainly.com/question/14767366

#SPJ4

Answer:

Step-by-step explanation:

Combine like terms

6) -4f - 9 -f + 15 = -4f - f  -9  +15

                          = -5f  + 6

7) 1.5g - 10 + 6.5g - 3 = 1.5g + 6.5g   - 10 - 3

                                  = 8.0g -13

                                   = 8g - 13

8)

\(\frac{1}{2}h + 2h + \frac{3}{2}h - 1 = \frac{1}{2}h+\frac{3}{2}h+2h - 1\\\)

                           \(= \frac{1+3}{2}h + 2h -1\\\\= \frac{4}{2}h + 2h -1\\\\= 2h + 2h -1 \\\\= 4h - 1\)

9) 4.2j + 6.7j - 5j - 5 = 10.9j - 5j - 5

                                = 5.9j - 5

Answer:

well ik it's 7 billion something and then I searched up and the closest would be C

Answer:

The answer would be C because the world population is at about 7.9 billion as of right now.

Answer:

$105 per hour

Step-by-step explanation:

$648.50 - $71 = $577.50

$577.50 / 5.5 = $105 per hour

105 x 5.5 = 575.50

+ 71.00

648.50

The per hour charge of the technician is given as $15.

A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.

Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.

The given problem can be solved by ratio method as follows,

The remaining cost charged by the technician is $648.50 - $71 = $577.50

Now, the per hour charge is remaining cost divided by total number of hours as given below,

577.50/5.5

= 57750/550

= 15

Hence, the cost of labor per hour is given as $15.

To know more about ratio and proportion click on,

brainly.com/question/14279414

#SPJ2

Answer:

40 percent

Step-by-step explanation:

22/55 = 0.4

0.4 = 40%

check answer: 55 x 0.4 = 22