Answer:
Domain=x:x is a natural number less than 6: x≠4
Range= x:x is a natural number, 3>=x<=1
Identify the initial value and rate of change for the graph shown
A coordinate plane graph is shown. A line passes through the y-intercept at 1 and through the point 5 comma 4.
Initial value: 1, rate of change 3 over 5.
Initial value: 3 over 5., rate of change: 0
Initial value: 1, rate of change 5 over 3.
Initial value: 5 over 3., rate of change: 0
simplify
(a^m/a^n)^m+n×(a^n/a^p)^n+p8×(a^p/a^m)^p+m
step by step
Answer:
m+a-1mn+m2+a-1np+n2n+a-mp+p2p8
Step-by-step explanation:
i just know sorry if this is wrong... :(
The measures of two angles in a triangle are 32o and 78o. Which of the following equations could be used to find the measure of the third angle, x?
(the ¨o¨ is a degree symbol)
180−32+78=x
180−32=x−78
180−(32+782÷2)=x
32+78+x=180
Answer:
32+78+x=180
Step-by-step explanation:
All triangle angles add up to 180, so add 78 and 32 then subtract it from 180 to get x, which in another form is 32+78+x=180.
Answer:
32 + 78 + x = 180
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180, that is
32 + 78 + x = 180
(02.02 MC)
Tim mixed 2 parts vinegar and 5 parts water to make a cleaning liquid. How many parts of vinegar did Tim mix with each part of water?
one over ten
one over five
two over seven
two over five
Answer:
2/5 or two over five
Step-by-step explanation:
2:5
Divide each by 5
2/5 : 1
2/5 * 1
2/5
Answer: 2 over 7
Step-by-step explanation:
2/(2+5) = 2/7
Please Help!!
A) vertical angles
B) complementary angles
C) supplementary angles
D) none of the above
simplify
(x^a)^b-c×(x^b)^c-a×(x^c)^a-b
step by step...
Answer:
= (xa+b)a-b .(xb+c)b-c. (xc+a)c-a
Or
= x(a+b)(a-b). x(b+c)(b-c) .x(c+a)(c-a)
Answer:
[tex]\left(x^a\right)^b-c\left(x^b\right)^c-a\left(x^c\right)^a-b[/tex]
[tex]=x^{ab}-cx^{bc}-a\left(x^c\right)^a-b[/tex]
[tex]=x^{ab}-cx^{bc}-ax^{ac}-b[/tex]
-------------------------
Hope it helps...
Have a great day!!
A quadrilateral that has its opposite sides equal and its angles, not a 90 is called:
a. deltoid
b. parallelogram
c. rectangle
d. square
e. trapezoid
Rewrite 24.5 as a mixed number in lowest terms.
Rewrite 0.85 as a fraction in lowest terms.
Answer:
49/2, 17/20
Step-by-step explanation:
24.5=245/10=245÷5/10÷5=49/2
0.85=85/100=85÷5/100÷5=17/20
Answer:
Mixed numbers
a) 24 1/2
b) 85/100 = 17/20
Step-by-step explanation:
a) as they asked mixed number we only have to create a fraction for the decimal 0.5 = 1/2 and rewrite 24 1/2 = 24.5
If the question asked for lowest terms 24/5 then 24.5% = 245/1000 = 49/200
b) rewrite 0.85 as a fraction in lowest terms
0.85 = 85% = 85/100 = 17/20
HELPPPPP PLEASE
(04.02 MC)
What is the solution to the following system of equations?
4x + 2y = 6
x - y = 3
(2, 1)
(-2, -1)
(2, 4)
(2, -1)
======================================================
Explanation:
Double everything in the second equation to go from x-y = 3 to 2x-2y = 6.
So we have this equivalent system of equations
[tex]\begin{cases}4x+2y = 6\\2x-2y=6\end{cases}[/tex]
We can then add straight down. The x terms add to 6x. The y terms go away because they add to 0. The stuff on the right hand sides add to 12.
After those three sets of addition operations, we have the new equation 6x = 12 which solves to x = 2 after dividing both sides by 6.
Now use x = 2 with any of the equations mentioned that have x,y involved so we can solve for y.
4x+2y = 6
4(2)+2y = 6
8+2y = 6
2y = 6-8
2y = -2
y = -2/2
y = -1
or we could say
x-y = 3
2-y = 3
-y = 3-2
-y = 1
y = -1
Either way, we get the same y value.
Since x = 2 and y = -1 pair up together, we get the ordered pair solution (x,y) = (2, -1). Therefore, the answer is choice D.
If you were to graph the two equations, as shown below, the two lines intersect at (2,-1). This point is on both lines at the same time. This is visual confirmation that the point is a solution to both equations. Though you should still algebraically check each original equation.
Which of the following is a step in simplifying the expression x multiplied by y to the power of 2 over x to the power of negative 3 multiplied by y to the power of 3, the whole to the power of negative 4.? (5 points)
x to the power of negative 4 multiplied by y to the power of negative 2, the whole over x to the power of negative 7 multiplied by y to the power of negative 1.
x to the power of negative 4 multiplied by y to the power of negative 8, the whole over x to the power of 12 multiplied by y to the power of negative 12.
x to the power of negative 4 multiplied by y to the power of negative 8, the whole over x to the power of negative 3 multiplied by y to the power of 3.
x to the power of negative 4 multiplied by y to the power of negative 2, the whole over x to the power of negative 3 multiplied by y to the power of 3.
Answer:
x to the power of negative 4 multiplied by y to the power of negative 8, the whole over x to the power of negative 3 multiplied by y to the power of 3
Step-by-step explanation:
What are some transformations that would map DFE to ABC on this coordinate plane? Other than a unit movement
Answer: You could use a translation since the shape is maintaining its orientation and size. All it’s doing is moving to the right.
Is the triangle obtuse, acute, equilateral or right?
9514 1404 393
Answer:
obtuse
Step-by-step explanation:
The law of cosines tells you ...
b² = a² +c² -2ac·cos(B)
Substituting for a²+c² using the given equation, we have ...
b² = b²·cos(B)² -2ac·cos(B)
We can subtract b² to get a quadratic in standard form for cos(B).
b²·cos(B)² -2ac·cos(B) -b² = 0
Solving this using the quadratic formula gives ...
[tex]\cos(B)=\dfrac{-(-2ac)\pm\sqrt{(-2ac)^2-4(b^2)(-b^2)}}{2b^2}\\\\\cos(B)=\dfrac{ac}{b^2}\pm\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}[/tex]
The fraction ac/b² is always positive, so the term on the right (the square root) is always greater than 1. The value of cos(B) cannot be greater than 1, so the only viable value for cos(B) is ...
[tex]\cos(B)=\dfrac{ac}{b^2}-\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}[/tex]
The value of the radical is necessarily greater than ac/b², so cos(B) is necessarily negative. When cos(B) < 0, B > 90°. The triangle is obtuse.
When you add 6 to the product of a number and 10, the result is 36. What is the number?
A) 3
B) 6
C) 2
D) 4
Answer: the number is 3.
Step-by-step explanation:
(x × 10) + 6 = 36
[(3) × 10] + 6 = 36
Answer:
3
Step-by-step explanation
First let's create an equation
Let x = number
Product is outcome of multiplication
The product of 10 and a number can be written as 10x
Were supposed to add 6 to the product and that should equal 36
So the equation is 10x + 6 = 36
We now solve for x using basic algebra
10x + 6 = 36
Subtract 6 from both sides
10x = 30
Divide both sides by 10
X = 3
y varies inversely as the square of x
y=1.5 when x=8
Find y when x=5
Answer:
3.84
Step-by-step explanation:
Given that , y varies inversely as the square of x . Mathematically we can write this statement as ,
[tex]\implies\rm y \propto \dfrac{1}{x^2}[/tex]
Let k be the constant . Therefore ,
[tex]\implies\rm y = k \dfrac{1}{x^2}[/tex]
When y = 1.5 and x = 8 :-
Plug in the respective values ,[tex]\implies\rm y = k \dfrac{1}{x^2} \\\\\implies\rm 1.5 = k \times \dfrac{1}{8^2} \\\\\implies\rm k = 1.5 \times 64 \\\\\implies\rm k = 96[/tex]
When x = 5 :-
[tex]\implies\rm y = k \dfrac{1}{x^2} \\\\\implies\rm y = 96 \times \dfrac{1}{5^2}=\dfrac{ 96}{25} \\\\\implies\rm\boxed{ y = 3.84 }[/tex]
Answer: 3.84
hope it helped!
what is the additive inverse of [tex]\frac{2}{3}[/tex]
A. 3/2
B. 0
C. -2/3
D. -3/2
show al your work please due very soon
Answer:
your answer is C. -2/3
Step-by-step explanation:
In mathematics, the additive inverse of a number a is the number that, when added to a, yields zero. This number is also known as the opposite (number), sign change, and negation. For a real number, it reverses its sign: the additive inverse (opposite number) of a positive number is negative, and the additive inverse of a negative number is positive. Zero is the additive inverse of itself. In this case, -2/3 is the additive inverse of 2/3.
Louise owns a hot dog stand. The amount of money she collects from selling hot dogs each day can be found by using the equation y=3.5x What does 3.5 from the equation represent in the situation?
Answer:
3.5 represents the cost of each hotdog ($3.50).
Step-by-step explanation:
In y = 3.5x, the x represents the number of hotdogs and the y represents the total amount you have to pay for those hotdogs. The 3.5 represents the cost of each hotdog.
find the value of a and be when x is 12 a= 5x^2/2 b= 2x^2(x-5)/10x
Answer:
a=360
b=168
Step-by-step explanation:
a=5×12×12/2=5×12×6=360
b=2×12×12×(12-5)/10×12=2×12×7=14×12=164
Alicia rented a car for a total of $380 for 2 1/2 days. what was the cost of the car per day?
A. $56/ day
B. $66/ day
C. $ 152/ day
D. $86/ day
Answer:
C. $152/day
Step-by-step explanation:
To find the cost per day, we have to divide the total cost by the number of days:
380/2.5 = 152
Note: 2 1/2 = 2.5
lets evaluate 81^-3/4.
Answer:
1/ 27
Step-by-step explanation:
[tex] = 81^{ \frac{-3}{4} } [/tex]
[tex] = (\frac{1}{81}) ^{ \frac{3}{4} } [/tex]
[tex] = (\frac{1}{3}) ^3 [/tex]
[tex] = \frac{1}{27} [/tex]
hElP mEh
What integer does the arrow indicate?
-9
-14
-3
6
Please help! I’m confused.
Step-by-step explanation:
We need to use the formula :-
2 (l + b) × h ---> For Lateral surface area
2(30+30) h = 7200
2×60×h = 7200
120 × h = 7200
h = 7200/120
h = 60 cm
Now, volume = l×b×h
= 30×30×60
= 54000 cm³ is the required answer.
Hope it helps! :D
Answer:
54000cm³
Step-by-step explanation:
7200=4*30x,so x=60
In other words, the length of the vertical side is equal to 60cm
The volume inside the kite=60*30*30=54000cm³
please help i dont know
Answer:
a/4x-3
Step-by-step explanation:
4 'x' box means: 4x, 3 '-' box means: -3
Answer:
a) 4x-3
I hope this helps have a great day
Triangle ABC is transformed to obtain triangle A′B′C′:
A coordinate grid is labeled from negative 12 to 0 to 12 on both x and y axes at increments of 1. Triangle ABC has A at ordered pair negative 12, 12, B at negative 9, 6, C at negative 3, 12. Triangle A prime B prime C prime has A prime at ordered pair 4, negative 4, B prime at 3, negative 2, C prime at 1, negative 4.
Which statement is correct for Triangle ABC. and Triangle A prime B prime C prime.? (5 points)
Triangle ABC is similar to triangle A prime B prime C prime. because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 3. and then rotating it about the origin by 180 degrees
Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 4. and then rotating it about the origin by 90 degrees
Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 4. and then rotating it about the origin by 180 degrees
Triangle ABC is similar to triangle A prime B prime C prime. because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 6. and then rotating it about the origin by 90 degrees
Answer:
Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 4. and then rotating it about the origin by 180 degrees
Step-by-step explanation:
PLEASE HELP FAST, I CANT GET IT WRONG
Answer: I think it is 12 divided by 7
Correct answers only!
After conducting a survey of all her classmates Midge discovers that the amount of money everyone spends buying books each month has a mean of $30. What does the mean say about the amount of classmates spend on books?
Half of her classmates spent exactly $30 per month buying books.
Half of your classmates spent more than $30 per month buying books.
The majority of her classmates spent $30 per month buying books.
If the amount spent on books per month by all her the classmates is leveled, the amount will be $30.
Answer:
C: The majority of her classmates spent $30 per month buying books.
Step-by-step explanation:
The mean is the average of the numbers -> its C
Answer:
C
Step-by-step explanation:
please help! :( ive been stuck on this for about 30 minutes
Suppose each cube in this right rectangular prism is a -inch unit cube.
What are the dimensions of the prism?
What is the volume of the prism?
Answer:
dimensions: 4x5x3
volume: 60 cube inches
Step-by-step explanation:
assuming each cube is a one inch cube:
the dimensions of the prism are length 5 -inches, width 4 -inches and height 3 -inches. So, 4x5x3
the volume of a prism is the length x width x height, so the volume is 4x5x3 = 60 inches cubed.
Answer:
length = 5 inches
width = 4 inches
height = 3 inches
So dimensions are 5 x 4 x 3 inches
Volume = l · w · h
V = 5 · 4 · 3 = 60 square inches.
Please help will give brainliest
Answer:
B) 28 inches.
Step-by-step explanation:
After 1/8 of a ribbon is thrown away, the remaining part is cut into two pieces whose lengths are in the ratio 4 : 5.
And we want to find the length of the shorter ribbon from the two remaining pieces.
We are given that 9 inches of the original ribbon was thrown away. Since this is 1/8 of the total length, we can write that:
[tex]\displaystyle \frac{1}{8}L=9[/tex]
Where L represents the total length of the ribbon.
Solve for the total length:
[tex]\displaystyle L=72\text{ inches}[/tex]
So, the original length of the ribbon was 72 inches.
Since we threw away 9 inches of it, we now only have 63 inches.
This is then cut into two pieces in a ratio of 4 : 5. Let x represent the constant. Thus:
[tex](4x)+(5x)=63[/tex]
Solve for x:
[tex]9x=63\Rightarrow x=7[/tex]
Hence, the two remaining ribbons measure 28 inches and 35 inches.
Therefore, our answer is B.
plz help me with the attachment below
Answer:
57
Step-by-step explanation:
( 27 + 19 + 41 + 51 + 29 + 35 + k ) / 7 = 37
202 + k = 37 x 7
202 + k = 259
k = 259 - 202
k = 57
Answer:
K. = 57
Step-by-step explanation:
please help me find the answer or at least give me the formula
Answer:
[tex]2\sqrt{2x}[/tex] or [tex]8x^2[/tex]
Step-by-step explanation:
first you find the distance between P and O which is 4n (use the distance formula -- [tex]\sqrt{\left(x_1-x_2\right)^2+\left(y_1-y_2\right)}[/tex])
then find the distance between O and Q also using the distance formula; it gives you 4n
then find the hypotunuse by using the pythagorean theorem, [tex]a^2+b^2=c^2[/tex] which would be [tex]4n^2+4n^2=hypotenuse[/tex] and when you simplify it, you get [tex]8x^2[/tex] and if you need it in radical form, it would be [tex]2\sqrt{2x}[/tex]
Answer:
[tex]Hypotenuse = 4n \sqrt{2} [/tex]
Step-by-step explanation:
Catethus1=4n
Catethus2=4n
Hypotenuse=?
[tex]Hypotenuse= \sqrt{{(catethus1)}^{2} + {(catethus2)}^{2}} \: = \sqrt{{(4n)}^{2} + {(4n)}^{2}} \: = 4n \sqrt{2} [/tex]
pls answer my question i am not sure
Answer:
Calculation: 3 1/2 - 4 1/7 - fraction calculator. ... How do you solve fractions step by step? ... to divide mixed numbers 1 2/3 : 4 3/8 or can be used for write complex fractions i.e. 1/2 : 1/3.
Answer: 288 √3
—————-
13
Step-by-step explanation: