what is the nth term of
3, 18, 41, 72
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
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]
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
PLEASE HELP FAST, I CANT GET IT WRONG
Answer: I think it is 12 divided by 7
Can I have help on the second question only, Thx
Answer:
is this geo?
Step-by-step explanation:
Answer:
measure a = 56
Step-by-step explanation:
Remember all angles on triangles equal up to 180, and it look that measure c is the same as measure b.
62+62=124
180-124=56
Therefore measure a is equal to 56, but I may be wrong, no one is perfect, but I hope this helps!
The table shows the way students travel to school at Peace Middle School.
Transportation Number of students
Bike 21
Walk 27
Bus 45
Car 10
Select the true statement about the information in the table.
Choose all answers that apply:
Answer:
PLZ MARK ME BRAINLIEST.
Step-by-step explanation:
Number Of Students who go to School by Walk = 27
Number Of Students who go to School by Bus = 45
Ratio of Student who go to School by Walk : Bus = 27 : 45
=> Ratio of Student who go to School by Walk : Bus = 3 : 5
Hence Ratio of Student who walk to students who ride the Bus is 3 : 5 is correct - True Statement
Number Of Students who go to School by Bike = 21
Number Of Students who go to School by Walk = 27
Ratio Bike : Walk = 21 : 27
=> Bike : Walk = 7 : 9
Hence for Every 7 Students who Bike there are 9 students who walk
=> For Every 7 Students who Bike there are 8 students who walk is not Correct
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:
Sylvain spent a total of 18 hours on English and math homework over the last 3 weeks. He spent twice as much time on English than on math. Let x represent the number of hours spent on English and y represent the number of hours spent on math.
x + y = 18. x = 2 y.
What is the solution of the system of equations?
(12, 6)
(6, 12)
(9, 9)
(15, 3)
Answer:
12, 6
Step-by-step explanation:
we have two equations
x + y = 18 .... . (i)
and x = 2y .... .(ii)
substituting the value of x from eq. (ii) in eq. (i)
2y + y = 18
3y = 18
y = 6
putting this value if y in equation (ii) to get x
x = 2 × 6
= 12
therefore,
(12, 6) is the solution to the system of equations
I NEED THIS RN IMMEDIATELY ASAP PLS HELP !!! INSTRUCTIONS ARE ON THE FIRST PIC! (pls no links to other sites)
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!
Which of the following is the solution to the inequality below? 5x - 6 [tex]\leq[/tex] 14
A) x [tex]\leq[/tex] - 4/5
B) x [tex]\geq[/tex] 4
C) x [tex]\geq[/tex] - 4/5
D) x [tex]\leq[/tex] 4
Answer:
D. x [tex]\leq[/tex] 4
Step-by-step explanation:
1. You add 6 to each side
2. Divide each side by 5 to isolate x
Answer:
answer is A.
Step-by-step explanation:
-5x-10 <20
Group like terms
-5x < 20 + 10
-5x < 30
Divide both sides by -5
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.
PLZ HELP 10 POINTS
Is the transformed figure (image) congruent to the original (pre-image) figure?
Congruent means there's exact shape and angle magnitude since transformation requires relocation of an image there's no change to it's shape therefore it's congruent
The blue shape is a dilation of the black shape. What is the scale factor of the dilation? Simplify your answer and write it as a fraction or whole number.
Answer:
3 or 3/1 (the 1 is the denominator)
Step-by-step explanation:
the shape got 3 times bigger. let me know
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.
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
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.
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:
Marly gets 5 gems every 5 minutes. If Marely has 180 gems, how many minutes have passed?
Answer:
180
Step-by-step explanation:
It is one gem per minute.
hElP mEh
What integer does the arrow indicate?
-9
-14
-3
6
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.
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... :(
Solve for x. Please help fast:
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.
Shawn purchased $87.06 worth of merchandise at a department store. He gave the clerk $100.
Round to the nearest whole dollar to estimate how much change Shawn will receive.
What is the actual amount of change Shawn will receive?
100-87.06=12.94
$13(nearest dollar)
$12.94(actual)
Answer:
10
Step-by-step explanation:
because rounding 87 its 90, so 100-10=90.
The table shows values for Variable A and Variable B.
Use the data from the table to create a scatter plot.
(TABLE IS IN PICTURE ATTACHED BELOW)
hopefully this helps!
pls help find the angle
15 POINTS!!!
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
Answer:
Step-by-step explanation:
y=mx+b
y-intercept= 1
b=1
point (5,4)
x=5
y=4
y=mx+b
4=m(5)+1
5m=3
m=3/5
rate of change = 3/5
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