Answer:
Firstly irrational number are any real number that cannot be expressed as the quotient of two integers . For example there is no number among integers and fractions that equals the square root of 2 .
Hope I helped
if 5-3(2a+1)=-4+10, what is the value of a+2
[tex]\\ \rm\Rrightarrow 5-3(2a+1)=-4+10[/tex]
[tex]\\ \rm\Rrightarrow 5-6a-3=6[/tex]
[tex]\\ \rm\Rrightarrow -6a+2=6[/tex]
[tex]\\ \rm\Rrightarrow -6a=6-2[/tex]
[tex]\\ \rm\Rrightarrow -6a=4[/tex]
[tex]\\ \rm\Rrightarrow a=\dfrac{4}{-6}[/tex]
[tex]\\ \rm\Rrightarrow a=\dfrac{2}{-3}[/tex]
Now
[tex]\\ \rm\Rrightarrow a+2[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{2}{-3}+2[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{2-6}{-3}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{-4}{-3}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{4}{3}[/tex]
Answer:
7/3
Step-by-step explanation:
5 - 3(2a+1) = -4 + 10
=> 5 - 6a + 3 = 6
=> 5 - 6 + 3 = 6a
=> 2 = 6a
=> 6a = 2
=> a = 2/6
=> a = 1/3
a + 2
1/3 + 2
=> 1/3 + 6/3
=> 7/3
-15 + 8x = x + 3
STEP BY STEP
[tex] - 15 + 8x = x + 3 \\ 8x - x = 3 + 15 \\ 7x = 18 \\ \\ x = \frac{18}{7} \\ \\ x = 2.571[/tex]
We put the unknown on one side, and the other end is empty of the unknown , When it turns to the other side, its sign changes.
As for the number with the unknown, it becomes the denominator with the number without the unknown.
I hope I helped you^_^
Can anyone help me out with this? (recursive formulas)
Step-by-step explanation:
[tex]b(1) = 4[/tex]
Since this is an arithmetic sequence, notice that if you subtract b(1) (i.e., 4) from b(2)(i.e., 22), you get 18. Likewise, if you subtract b(2) from b(3) you also get 18. Therefore,
[tex]b(n) = b(n-1) + 18[/tex]
A lawn in the shape of a trapezoid has an area of 1,800 square meters. The length of one base is 50 meters, and the length of the other base is 40 meters. What is the width of the lawn?
9514 1404 393
Answer:
40 m
Step-by-step explanation:
The area is given by the formula ...
A = 1/2(b1 +b2)h
Using the given values, we can find h to be ...
1800 = 1/2(50 +40)h
3600 = 90h . . . . . . . . . multiply by 2
40 = h . . . . . . . . . . . divide by 90
The width of the lawn is 40 meters.
Choose all that give a level of accuracy appropriate for situation.
The distance for a flight from Georgia to Texas to the nearest mile.
Measuring how long the large mouth bass you caught while fishing to the nearest foot.
The number of party favors needed for a birthday party by the whole number.
The volume of water in a water bottle to the nearest fluid Ounce.
The cost of new laptop plus tax calculated to the nearest tenth.
Using unit measurement concepts, it is found that the correct options are:
The distance for a flight from Georgia to Texas to the nearest mile.Measuring how long the large mouth bass you caught while fishing to the nearest foot. The number of party favors needed for a birthday party by the whole number.The cost of new laptop plus tax calculated to the nearest tenth.----------------------------------
When measurements are made, the unit used is a big consideration, to give accuracy to the measurement. For example, measuring a person's height is kilometres would not give an accurate representation.----------------------------------
In the first option, for distance between cities or states, miles is the most widely used metric, so this option is correct.In the second option, heights of mouth bass are usually measured in inches, which is easily converted to feet(dividing by 12), and thus, this option is correct.In the third option, for each person, there is usually a favor, thus, whole number is an accurate metric, and this option is correct.In the fourth option, volume of water is usually measured in liters, and fluid ounces are way smaller than liters, thus not giving an accurate representation.In the fifth option, costs of products, especially expensive products such as laptops, are rounded to the nearest tenth, and thus, this option is correct.A similar problem is given at https://brainly.com/question/16563559
union and intersection of sets
Answer:
The union of two sets contains all the elements contained in either set (or both sets). The union is notated A ⋃ B. The intersection of two sets contains only the elements that are in both sets. The intersection is notated A ⋂ B.
Answer:
UnionThe union of a set A with a B is the set of elements that are in either set A or B. The union is denoted as A∪B. For example, if A is the set {♢,♡,♣,♠} and B is the set {△,♡,♠}, then A∪B={♢,♡,♣,♠,△}.
IntersectionIntersection of two given sets is the largest set which contains all the elements that are common to both the sets. To find the intersection of two given sets A and B is a set which consists of all the elements which are common to both A and B. The symbol for denoting intersection of sets is '∩'.
Write the number in expanded form 68,020
Answer:
hope it is helpful
Step-by-step explanation:
68,020-
6= 60,000
8= 8,000
0=0
2= 20
0=0
PLEASE HELP
X/2-7=9
Show your work in details if you can, I have a hard time understanding this.
Answer:
Step-by-step explanation:
x/2 - 7 = 9 Add 7 to both sides
+7 7
x/2 = 16 Multiply both sides by 2
2*x/2 = 16*2
x = 32
You are at about the second stage of solving equations. So far what you should know is that you should add or subtract before doing multiplication or division.
Take a much simpler question
x - 8 = 10 What do you do here? You can't multiply or divide. So add
+8 8
x = 18
Now try what you have
2x - 5 = 11 Add before multiplication or division
5 5
2x = 16 Divide by 2
2x/2 = 16/2
x = 8
The sum of a number and 3 is 6 less than twice that number.
Solve
Answer:
there are two operation end modes [ = , < ]
so, it remains an expression
Step-by-step explanation:
let the number be x :
[tex] \{(n + 3) = 6 \} < 2n[/tex]
The solution of the written expression, ''The sum of a number and 3 is 6 less than twice that number'' is 9.
Here,
The written expression, ''The sum of a number and 3 is 6 less than twice that number''.
We have to solve this expression.
What is Mathematical expression?
An expression consists of one or more numbers or variables along with one more operation.
Now,
Let a number is x.
By the given written expression, we can write the mathematical expression as,
x + 3 = 2x - 6
By solving;
x + 3 = 2x - 6
3 + 6 = 2x - x
9 = x
x = 9
Hence, the value of written expression is x.
Learn more about the mathematical expression visit:
https://brainly.com/question/1859113
#SPJ2
what is into relation with suitable example
Answer:
the relation between the x-values and y-values of ordered pairs
Please help me I nned help
Answer:
length*breadth*height
find the y-intercept and x-intercept of the line. 2x+3y= -14
Answer:
X-intercept: (-7, 0)
Y-intercept: (0, -14/4)
Step-by-step explanation:
To find the intercepts plugin 0 for one variable and solve
2x+3(0)=-14
x=-7
2(0)+3y=-14
y=-14/3
Help please due today
The copy is the exact same as the original, so the scale factor would be 1.
The answer is the first choice
Evaluate the expression
Step-by-step explanation:
this is correct answer thank you
Reduce 6x /12x is it 1/2
Answer:
tero bau ko tauko got it sjdhhrurjrbr
Answer:
LHS=6x/12x=6/12=1/2
RHS=1/2
LHS=RHS
what is the length of an arc subtended by an angle of 1.25 radians in a circle with a diameter of 24 cm?
Answer:
15 cm.
Step-by-step explanation:
Recall that the arc-length of a circle is given by the formula:
[tex]\displaystyle s = r\theta[/tex]
Where r is the radius and θ is the measure of the central angle in radians.
The circle has a diameter of 24 cm, so its radius is 12 cm.
And its central angle is 1.25 radians. Hence, the arc-length will be:
[tex]\displaystyle s = \left(12\right)\left(1.25\right) = 15\text{ cm}[/tex]
In conclusion, the arc-length for a circle with a diameter of 24 cm subtended by a central angle of 1.25 radians is 15 cm.
4. Tabatha is dining out at Mandee's and decides to get an order of curly fries,
chicken fingers, and a coca-cola. The total cost of the food with sales tax came to
$18.61. If Tabatha decides to give the cashier a 20% gratuity (tip), what does her
total bill come to?
Solve for x: x + 8 = 15
Answer:
7
Step-by-step explanation:
x + 8 = 15
Subtracting 8 from both sides,
x = 15 - 8
=> x = 7
Fred and Gina are playing tennis. The first player to win 2 sets wins their match. Fred has a 3/5 chance to win each set while Gina has a 2/5 chance. What is the probability that the match goes three sets until someone wins?
Answer:
60/125 which can be reduced to 12/25
Step-by-step explanation:
Gina wins
2/5 * 2/5 = 4/25
3/5 * 2*5 * 2/5 = 12 /125
2/5 * 3/5 * 2/5 = 12/125
Fred Wins
3/5 * 3/5 = 9/25
2/5 * 3/5 * 3/5 = 18/125
3/5 * 2/5 * 3/5 = 18/125
P(3 sets) = (18 + 18 + 12 + 12)/125 = 60/125
P(2 sets) = (20 + 45)/125 = 65/125
I found the probability of 2 sets so I could add the results together to see if the probability totals 1. It does. This question is done correctly.
The sum of three times a number, x, and 12
Answer:
the number of the x is 5 and the number of the Y is 10
Step-by-step explanation:
school
88.98 to the nearest tenth
Answer:
89 is the answer
Step-by-step explanation:
88.98
= 89
9514 1404 393
Answer:
89.0
Step-by-step explanation:
One way to round a number is to add half the place value you're rounding to, then truncate at the desired place value.
Here, we want to round to a tenth (0.1), so we first add half that value:
88.98 + 0.05 = 89.03
Now, we throw away all digits after the tenths place.
89.0 . . . . our rounded value
the raidan measure of an angle is equal to the ratio of the legnth of its intercepted arc to the radius
A.True
B.False
Answer:
True.
Step-by-step explanation:
As long as the vertex of the angle is at the center of curvature of the intercepted arc.
A new car has a list price of $28,500 . Suppose that the dealer markup on this car is 10%. What is the dealer's cost?
Answer: 25650
Step-by-step explanation: 10% of 28500 is well 2850
28500-2850=25650
(if only i could get good rates on my car)
13. The following describes the incidence of mumps in the
United States from 1984 to 2004. From 1984 to 1985, there was
no change in the incidence of mumps, staying at about 1 case
per 100,000 people. Then there was a spike in the incidence of
mumps, which reached a peak of about 5.5 cases per 100,000
in 1987. Over the next year, there was a sharp decline in the
incidence of mumps, to about 2 cases per 100,000 people in
1988. Then, from 1988 to 1989, there was a small increase to
about 2.5 cases per 100,000 people. This was followed by a
gradual decline, which reached a minimum of about 0.1 case per
100,000 in 1999. For the next five years, there was no change in
the incidence of mumps. Sketch a graph of the function.
no
DIE
Incidence of mumps
(cases per 100,000 people)
0
Graphs can be created by inputting data in MS Excel and choosing a chart type that represents the type of data to display
Please find attached the required graph of the function of the Incidence of mumps (cases per 100,000 people)
The known data for the incidence of mumps is presented in the following table;
[tex]\begin{array}{|c|cc|}Year&&Incidence \ of \ Mumps \ per \ 100,000 \ People\\1984&&1\\1985&&1\\1987&&5.5\\1988&&2\\1989&&2.5\\1999&&0.1\\2004&&0.1\end{array}[/tex]
The data from the above table can be entered in MS Excel and a graph can be plotted as follows;
Enter the above data into Excel as shown in the above tableSelect all numerical values by clicking in the top left corner, hold down the right mouse click and drag to the bottom left cornerSelect the Insert option from the Options menuIn the Charts group, click on the down arrow beside the icon for the Insert Scatter (x, y), or Bubble ChartSelect Scatter with Straight Lines and MarkersPlease find attached the required graph created with MS Excel
Learn more about plotting graphs here:
https://brainly.com/question/20623868
make r the subject in the relation; rv= h
Answer:
step by step
take v to divide
r=h/v
Plzzz helppppp!!!!!!! 20+PTS and brainliest!!!!!!!!!!!!!!!
Please show work!!!!!!!!!!!
Refer to the equation y=mx+c
Simplify each expression -(20+d)
Answer:
-20 -d
Step-by-step explanation:
-(20+d)
Distribute he minus sign
-20 -d
what are formulas used to solve polynomials?
Answer:
Polynomial Equation Degree Example
Linear Equations 1 -3x + 1 = 4x + 5
Quadratic Equations 2 x^2 – 6x + 9 = 0
Cubic Equations 3 x^3 – 2x^2 + 3x = -5
Quartic Equations 4 x^4 – 2x^2 = -4
Step-by-step explanation:
Linear Equations
Linear equations are polynomial equations that have a degree of 1.
ax + b = 0
Solving for solutions for this type of equation will require us to isolate the unknown variable on one side of the equation. Master your craft in solving linear equations here.
Quadratic Equations
Quadratic equations are polynomial equations with a degree of 2.
ax2 + bx + c = 0
There are different ways we can solve quadratic equations – it mostly depends on the form of the quadratic expression on the right-hand side.
We can factor quadratic expressions and apply the zero-property.
Applying special algebraic properties such as the difference of two squares, perfect square trinomial properties, and completing the square.
Lastly, we can also use the quadratic formula to find the zeroes of quadratic equations.
Polynomial Equations (with a degree of 3 or higher)
Here’s the exciting part: what if we need to find the zeros of the solutions of a polynomial equation with degrees that are 3 or higher?
Some cubic and quartic equations can be factored by grouping and be reduced to equations with a smaller degree. There are times, however, that finding the actual factors can be challenging.
1. Can the numbers 12, 6, 6 be used to form the sides of a triangle? Why or why not?
Answer: No, a triangle is not possible in this case
Why not? Because the two sides 6 and 6 add to 6+6 = 12, which does not exceed the remaining side.
Refer to the triangle inequality theorem. This theorem says that for a triangle to be possible, we need these three facts to be true
a+b > cb+c > aa+c > bwhere a,b,c are the three sides of the triangle. In short: adding any two sides must be larger than the third side.
I recommend cutting out slips of paper to try making a triangle with sides 12,6, and 6. You'll find its not possible. The two smaller sides combine to perfectly line up with the larger side. The three sides form a line and not a triangle.
A triangle has a perimeter of 75 inches. Find the length of three sides
if one side is 15 inches larger than the smallest side, and the third
side is twice the smallest
Answer:
The side lengths are:
15, 30, and 30
Step-by-step explanation:
Let x determine the length of the smallest side length then
the other one is said to be 15 in larger so it's x + 15
finally the third size is said to be twice as the smallest one so it's 2x
The perimeter is the sum of all three sides added up
x + 2x + x + 15 = 75 add like terms
4x + 15 = 75 subtract 15 from both sides
4x = 60 divide both sides by 4
x = 15
