Answer:
all of them are REAL numbers
1. is also RATIONAL
2. is also IRRATIONAL
3. is also IRRATIONAL
4. is also NATURAL, WHOLE, INTEGER and RATIONAL
5. is also INTEGER and RATIONAL
6. incorrect, because integer is just the whole numbers extended by their additive counterparts (the negative natural numbers). in other words, their absolute values are whole numbers. 5.5 as well as -5.5 are not fitting that criteria.
7. incorrect, because this pattern does not fit the definition of a radical number, where the number eventually begins to repeat the same finite sequence of digits over and over. in this example the pattern is not based on a finite sequence of digits.
Let $$\mathbf { u } , \mathbf { v } , \text { and } \mathbf { w }$$ be vectors. Which of the following make sense, and which do not? Give reasons for your answers. $$
a.( \mathbf { u } \times \mathbf { v } ) \cdot \mathbf { w }\quad
b. \mathbf { u } \times ( \mathbf { v } \cdot \mathbf { w } )\ quad
c. \mathbf { u } \times ( \mathbf { v } \times \mathbf { w } )\quad
d. \mathbf { u } \cdot ( \mathbf { v } \cdot \mathbf { w } ).$$
(u × v) • w makes sense, since u × v is another vector, and so (u × v) • w is a scalar.
u × (v • w) does not make sense, since v • w is a scalar, and the cross product is not defined between a vector and a scalar.
(u × v) × w makes sense, since u × v is a vector and so is w.
u • (v • w) does not make sense, since v • w is scalar, and the dot product is not defined between a vector and a scalar.
Tommy has 4 apples. He slices each apple into fourths. How many slices of apple does Tommy have?
Answer:
16 slices
Step-by-step explanation:
4 apples times 4 slices (as there is 4 slices per apple)
So, 4×4=16
Hope this helps :)
!!!!25 POINTS!!!!!
What is:
65.74 x .88
Answer:
5785.12
Step-by-step explanation:
I showed the picture instead of explaining
In car racing, a car must meet specific dimensions to enter a race. Officials use a template to ensure these
specifications are met. Suppose the least allowable height of a race car is 52 in., the desirable height is 52.5 in., and the
greatest allowable height is 53 in. What absolute value inequality describes heights of the model of race car within the
indicated tolerance?
Answer:
| h-52 | < or equal to 1
Step-by-step explanation:
P-LS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
The difference between the largest and smallest value in a data set is the _____________.
A. interquartile range
B. range
C. median
D. mode
Answer:
range
Step-by-step explanation:
The difference between the largest and smallest value in a data set is the range
Answer:
Range
Step-by-step explanation:
I hope this will help you buddy
what is the lowest common denominator of 4 7 5 2 and 1
Answer:
140
Step-by-step explanation:
Lowest common denominator 4 , 7 ,5 , 2 and 1
= 4 * 7 * 5
= 140
Answer:
1
Step-by-step explanation:
Since usually common denominator is usually used with fractions (in this case), we can find out it's one because of how no numbers (except for 2 and 4) go into each other without a remainder except for one, so one would be the correct answer
plz plz plz help me solving this question
Perimeter: 19 cm ( I added 5.5+7.5+6)
The length of each side of the square: 8 cm
We know that the area is 64 cm2
A=a*a (length times length) We get 8 (because we know the times tables)
Volume: 100
Answer:
3.950121805833336 ≈ 4 m
Step-by-step explanation:
The area of a circle is calculated using this formula: A= πr². Since we know the area of the circle is 154 we have all the values we need to solve this problem.
154 = πr²
√154 = πr
12.40967... = πr
12.40967.../π = r
3.950121805833336 = r
3.950121805833336 ≈ 4 meters
More help plss! thank you
Answer:
I CANT SEE THE QUESTION CAN U UPLOAD IT AGAIN
Step-by-step explanation:
Plz help.....I’ll give you brainly
Find the sum or difference. 1 1 34 1-5 a. -122 + 42 b. -0.35 - (-0.25)
Answer:
11341-5=11336
-122+42=-80, when you have different signs always keep in mind that you have to subtract and then get the sign of the big number.
for the third one you firstly have to work with the two negative signs,you have to multiply them, take note that when you multiply a negative by a negative you get a positive, a positive by a positive you get a positive and a negative by a positive you get a negative.
-0.35-(-0.25)
-0.35+0.25
=-0.1
I hope this helps
Plzzzzz Help me 10 points and will mark brainiest
Answer:
x=21
Step-by-step explanation:
We can use a ratio to solve
45 27
------ = ----------
35 x
Using cross products
45x = 35*27
45x = 945
45x/45 = 945/45
x =21
Answer:
21
Step-by-step explanation:
The ratio of A to B is 45 / 35, which is equal to 9 / 7. To get from B to A, the ratio is 7 / 9.
(7 / 9) x 27
7 x 27 = 189, 189 / 9 = 21
Brainliest, please!
solve for m - hp = d for p
please actually help this is my first assignment of the year and can’t fail
The computer technician charges $20 per visit plus $35 per hour. If the computer technician works for 2 hours, what will be the cost?
$75
$90
$55
Answer:
90
Step-by-step explanation:
To solve this problem we need to set up an expression
35x+20
35 is the cost per hour, and 20 dollars is the visit fee.
x is the amount of hours the CT can work
So if we plug in the amount for the number of hours from the problem we get
35(2)+20
Which becomes 70+20 which is 90.
Hope thsi helps!
The computer technician works for 2 hours will take total charges equal to $90 .
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7
According to the question
The computer technician charges $20 per visit plus $35 per hour.
i.e
Let hours he work = x
therefore,
Total charge of computer technician in equation = 20 + 35x
Now,
As the computer technician works for 2 hours the cost will be
By using equation
Total charge of computer technician in dollars = 20 + 35x
where x = 2
so,
= 20 + 35*2
= $90
Hence, the computer technician works for 2 hours will take total charges equal to $90 .
To know more about equation here:
https://brainly.com/question/10413253
#SPJ2
1. David bought a used Dodge Challenger for $14,000. The value of the car depreciates 11% per year from the time he bought the car. Find a function that represents the value of David’s car, V(t), after t years.
2. How much will David’s car be worth 6 years after he bought it?
Answer:
V(t) = 14,000(0.89)^t
Step-by-step explanation:
Present value of the Dodge Challenger = $14,000
Present percentage value = 100%
Depreciation value = 11%
Number of years = t
Future value = V(t)
V(t) = Present value of the Dodge Challenger(Present percentage value - Depreciation value)^t
= 14,000(100% - 11%)^t
= 14,000(89%)^t
= 14,000(0.89)^t
V(t) = 14,000(0.89)^t
What is the total area of the figure below?
Step-by-step explanation:
As we know that,
In area of triangle , breadth =6inch,similarily ,height =8inch
now ,
Area of triangle = 1/2 ×b×h
= 1/2 × 8 ×6
=24inch^2
also,
In another figure,we can say
a=10 inch,b=16 inch and h=9 inch
similarly,
Area of trapizium = 1/2 h(a+b)
= 1/2 ×9(10+16)
=9/2 ×26
=9×13
=117inch^2
now ,
total area of figure =117 +24 =141inch^2
therefore,total area of figure is 141 inch^2
5x(2x-y) -3y(2+3x) expand and simplify
Answer:
10x² - 14xy -6y
Step-by-step explanation:
5x(2x-y)-3y(2+3x)
10x²-5xy-6y-9xy
10x² - 14xy - 6y
answer all of these for 100 points
Answer:
Step-by-step explanation:
37) Take two point from the line.
(2 , 0) & (0,4)
[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{4-0}{0-2}\\\\=\frac{4}{-2}\\\\=-2[/tex]
Slope = (-2)
38) (7 , 0) & (3 , 2)
[tex]Slope = \frac{2-0}{3-7}\\\\=\frac{2}{-4}\\\\=\frac{-1}{2}[/tex]
39) The line is parallel to x-axis and so its slope is 0
Slope = 0
40) The line is parallel to y-axis and so its slope is undefined
Slope = undefined
Answer:
39) The line is parallel to x-axis and so its slope is 0
Slope = 0
40) The line is parallel to y-axis and so its slope is undefined
Slope = undefined
Step-by-step explanation:
Please Help Find the indicated side of the right triangle
Answer:
3 sqrt(3)
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp / adj
tan 60 = x/3
3 tan 60 = x
3 sqrt(3) = x
Answer:
x = 3[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the tangent ratio in the right triangle and the exact value
tan30° = [tex]\frac{1}{\sqrt{3} }[/tex] , then
tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{3}{x}[/tex] = [tex]\frac{1}{\sqrt{3} }[/tex] ( cross- multiply )
x = 3[tex]\sqrt{3}[/tex]
Write given expression in terms of x and y only. Answer the picture pls
Answer:
Step-by-step explanation:
These are really difficult, but one thing I noticed pretty much across the board is that we state our trig ratios in terms of sin and cos using the Pythagorean identity:
[tex]sin^2x+cos^2x=1[/tex], even this one where tangents are involved. Let's begin:
If tan⁻1(x) = u (this is just a substitution to make things easier down the road), then tan(u) = x
If tan⁻1(y) = v, then tan(v) = y.
If that be the case, what we have as a rewrite from our original problem is
sin(u + v) which, according to the identity is:
[tex]sin(u-v)=sin(u)cos(v)-sin(v)cos(u)[/tex] which also tells us that we need those tangents in terms of sines and cosines, as stated earlier. We will take the Pythagorean identity and solve it for both sinx and cosx. Sinx first:
If [tex]cos^2x+sin^2x=1[/tex] then solving for sin:
[tex]\frac{cos^2x}{sin^2x}+\frac{sin^2x}{sin^2x}=\frac{1}{sin^2x}[/tex] (as you can see, I just divided everything by sin-squared):
[tex]cot^2x+1=\frac{1}{sin^2x}[/tex] and
[tex]\frac{1}{tan^2x}+1=\frac{1}{sin^2x}[/tex] and work on eliminating the denominators by multiplying through by sin-squared times tan-squared:
[tex]sin^2x*tan^2x(\frac{1}{tan^2x}+1=\frac{1}{sin^2x})[/tex] which simplifies to
[tex]sin^2x+sin^2x*tan^2x=tan^2x[/tex] and factor out on the left:
[tex]sin^2x(1+tan^2x)=tan^2x[/tex] and solve for sin-squared:
[tex]sin^2x=\frac{tan^2x}{1+tan^2x}[/tex] and take the square root of both sides:
[tex]sinx=\frac{tanx}{\sqrt{1+tan^2x} }[/tex] . Do the same to solve for cos(x) to get:
[tex]cosx=\frac{1}{\sqrt{1+tan^2x} }[/tex] and now we're ready to fill in our formula for sin(u + v):
[tex]\frac{tanu}{\sqrt{1+tan^2u} }*\frac{1}{\sqrt{1+tan^2v} }[/tex] - [tex]\frac{tanv}{\sqrt{1+tan^2} }*\frac{1}{\sqrt{1+tan^2u} }[/tex] and...
since tanu = x and tanv = y:
[tex]\frac{x}{\sqrt{1+x^2}}*\frac{1}{\sqrt{1+y^2}}-\frac{y}{\sqrt{1+y^2}}*\frac{1}{\sqrt{1+x^2} }[/tex] which, in the end, simplifies to
[tex]\frac{x-y}{\sqrt{1+x^2}*\sqrt{1+y^2} }[/tex] and you're done! Yikes to that!!!!
please help me.
find the real solution of the equation.
Answer:
[tex]x = -5 \text{ or } x =3[/tex]
Step-by-step explanation:
We want to find the real solutions to the equation:
[tex]\displaystyle 8^{x^2 + 2x - 15} = 1[/tex]
Recall that any value raised to zero (except for zero itself) is one.
In other words, the exponent must equal zero:
[tex]x^2 + 2x - 15 = 0[/tex]
Solve for x. Factor:
[tex](x+5)(x-3) = 0[/tex]
Zero Product Property:
[tex]x + 5 = 0\text{ or } x - 3 = 0[/tex]
Solve for each case. Hence:
[tex]x = -5 \text{ or } x =3[/tex]
In conclusion, our two real solutions are:
[tex]x = -5 \text{ or } x =3[/tex]
The width of a rectangle is 5x -9.5 feet and the length is 9.5x + 10 feet. Find the perimeter of the
rectangle
Answer:
Perimeter of the rectangle is 29x + 1 feet
Step-by-step explanation:
Length of the rectangle = 9.5x + 10 feet
Width of the rectangle = 5x - 9.5 feet
perimeter of rectangle = 2 ( length + width )
perimeter = 2 { (9.5x + 10) + (5x-9.5) }
perimeter = 2 ( 9.5x + 5x + 10 - 9.5 )
perimeter = 2 (14.5x + 0.5)
perimeter =29x + 1 feet
Multi-Step Literal Equations
Solve the following equation for a. Be sure to take into account whether a letter is capitalized or not.
g= b(a+[tex]D^{2}[/tex])
[tex]\\ \sf\longmapsto g=b(a+D^2)[/tex]
[tex]\\ \sf\longmapsto g=ba+bD^2[/tex]
[tex]\\ \sf\longmapsto g-bD^2=ba[/tex]
[tex]\\ \sf\longmapsto a=\dfrac{g-bD^2}{b}[/tex]
or
[tex]\\ \sf\longmapsto a=\dfrac{g}{b}-D^2[/tex]
An arc subtends an angle of 72 degrees at the centre of the circle find the length of the arc of the radius of the circle is 3.5cm take pie as 22 on 7
Answer:
4.4 cm
Step-by-step explanation:
Arc length = 2*pi*r*(central angle) / 360
Arc length = 2*(22/7)*3.5*(72/360)=4.4 cm
what's the median of -13.78, -3.01, -2.41, -0.28, 0.66, 0.67, 1.05, 1.39, 2.03, 2.2, 2.64, 4.02
halp me children it's important
Answer:
64 cm³
Does the answer help you?
Help me please.No spammmers.
Answer:
C
Step-by-step explanation:
cot =cos/sin =a/b
cos=a/b*sin
(sin-cos)/(sin+cos) =(sin-sin*a/b)(sin+sin*a/b)
=(1-a/b)/(a+a/b)
=(b-a)/(a+b)
x + 12 = 6 what is the answer
Answer:
-6
Step-by-step explanation:
x + 12 = 6
- 12 - 12
so
12-12=0
6-12=-6
put into equation
x + 0 = -6
x = -6
c(x)=2x^2-4x-3 find c(-4)
Answer:
45
Step-by-step explanation:
c(x)=2x^2-4x-3
Let x= -4
c(-4)=2(-4)^2-4(-4)-3
= 2(16) +16-3
=32+16-3
45
Answer:
45
Step-by-step explanation:
c(-4) = 2(-4)² - 4(-4) - 3
= 2(16) + 16 - 3
= 32 + 13
= 45
1/sec-1 + 1/sec+1 = 2cotcosec
Solution :
LHS = 1/(secA -1) + 1/(secA+1)
= [secA+1+secA-1]/[(secA-1)(secA+1)]
= (2secA)/[sec²A-1]
=(2secA)/tan²A
= (2/cosA)/(sin²A/cos²A)
= ( 2cosA)/sin²A
= 2(1/sinA)(cosA/sinA)
= 2cosecAcotA
= RHS
••••
find the HCF and LCM of 4x^2 - 36 ,2x^2 - 12x + 18 and 2x^2 + x - 21
Answer:
(x-3), 4 (x - 3)^2 (x + 3) (2 x + 7)
Step-by-step explanation:
Factor all the expressions,
1st expression= 4x^2 - 36=4(x^2-9)=4(x+3)(x-3)
2nd expression=2x^2 - 12x + 18 =2(x^2-6x+9)=2 (x - 3)^2=2(x-3)(x-3)
3rd expression=2x^2 + x - 21=(x - 3) (2 x + 7)
HCF=Commo factor=(x-3)
LCF=Common factor*Remaining factor=4(x+3)(x-3)(x-3) (2 x + 7)=4 (x - 3)^2 (x + 3) (2 x + 7)
Kanye buys a dozen donuts for a total of $3.99. He sells the donuts for $0.75 each. If Connie sells out his inventory of donuts, how much profit does he make?
Answer:
Step-by-step explanation:
We can find the answer by multiplying the number of donuts, 12, by the price he sells each donut for, $0.75, and subtracting that answer from the price he paid.
By making the equation 12 × 0.75 = $9 - $3.99 we can find out that he makes $5.01 in profit.