Answer:
y = 139 + x³ + 17
Step-by-step explanation:
The word "sum" means the amount resulting from addition in an equation. This means that we are adding all of these numbers together.
The word "product" means the amount resulting from multiplication in an equation, this means we need to find the product of a number multiplied by itself three times. Since we don't know what number it is, we can use the variable 'x'.
So, you would be adding 139, the product of x³, and 17, which would be written as y = 139 + x³ + 17.
sin(3x)+sin(x)=0 solve for x
Answer:
[tex]x=k\frac\pi2; k\in \mathbb{Z}[/tex]
Step-by-step explanation:
Let's use the formulas that change a sum of two sines into a product:
[tex]sin\ p + sin\ q =2 sin{\frac{p+q}2}cos{\frac{p-q}2}[/tex]
[tex]sin 3x+sinx =2sin \frac{3x+x}2 cos \frac{3x-x}2 = 2(sin2x)(cosx)=0[/tex]
At this point it's either [tex]sin 2x =0 \implies 2x= k\pi \rightarrow x = k\frac{\pi}2[/tex]
or [tex]cosx=0 \rightarrow x=\frac\pi2+ k\pi = (2k+1)\frac\pi2[/tex]
with the usual condition of [tex]k\in \mathbb{Z}[/tex].
Now if you look at both sets of solutions, first one considers all multiples of [tex]\frac\pi2[/tex], while the second only the odd multiples. it means that the first includes the second.
there are 11 members on a board of directors.if they must firm a subcommittee of 5 members how many different subcommittees are possible
You see here, there are too many people in the government and all of this gets us no where. So, too many is the answer.
Through what angle does the minute hand of a clock turn in 45 minutes?
Answer:
2700Step-by-step explanation:
A clock is a circle, and a circle always contains 360 degrees. Since there are 60 minutes on a clock, each minute mark is 6 degrees.
so
45 * 6 =
2700
pls helpppppppppppppppp
Answer:
Step-by-step explanation:
I believe it’s yes
Answer:
Yes
Step-by-step explanation:
A function has only one output value for each input value.
click on the measure of the triangle.
Answer:
a
Step-by-step explanation:
because a
Parallelogram TUVW is graphed on a coordinate plane with vertices at T (3, 4), V (-10,-2), V(-6,5),
and
W (7,11). Parallelogram TUVW Is dilated by a scale factor p with the origin as the center of dilation to
create parallelogram T'U'V'W'. Which ordered pair represents the coordinates of the dilated vertex V'?
G (-6 + P, 5+ p)
(-6p, Sp)
The coordinates of the dilated vertex V' is (-6p, 5p)
Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.
Dilation is the increase or decrease in the size of a figure. If a point A(x, y) is dilated by a factor k, the new point is A'(kx, ky).
The Parallelogram TUVW has vertices at T(3, 4), U(-10,-2), V(-6,5) and W (7,11). If it is dilated by a scale factor p with the origin, the new point is at:
T'(3p, 4p), U'(-10p, -2p), V'(-6p, 5p) and W'(7p, 11p)
Find out more on dilation at:https://brainly.com/question/10253650
What is mean number of strawberries collected each day Round to the nearest whole number if necessary 107,122,148,135,126,154
Answer:
132
Step-by-step explanation:
step one: add all the numbers in the data set.
107 + 122 + 148 + 135 + 126 + 154
= 792
step two: divide the sum by the how many numbers are in the data set
792/6 = 132
the mean number of strawberries collected each day is 132 strawberries.
hope this helps!<3
At a local movie theatre, sodas cost$4.50 and bags of popcorn cost &1.50. Kirk buys three times as many bags of popcorn as sodas and pays a total of $36. Write a system of equations and solve it using any method to determine how many of each item Kirk bought.
Answer:
this might help
Step-by-step explanation:
this might be kinda similar
Chickens and rabbits
In the yard were chickens and rabbits. Together they had 18 heads and 56 legs. How many chickens and how many rabbits were in the yard?
Correct answer:
chickens: 8
rabbits: 10
Step-by-step explanation:
a+b=18
2a+4b=56
a=8
b=10
a+b = 18
2•a+4•b=56
a+b = 18
2a+4b = 56
a = 8
b = 10
the product of seven non-zero factors. of which only three are positive. is
a) positive
B) negative
c) null
Answer:
The answer is A
Step-by-step explanation:
This is one of those sneaky questions where you think there is no definite answer, but don't despair. There is an answer.
You have 7 numbers
3 of them are positive which means greater than 0. Let's pick them
3 4 5 = 60
That part's easy. Those 3 numbers give a plus result.
Now try the other 4 numbers
-3 - 2 - 1 - 4
Do you see what's going to happen. You have -3 * - 2 = 6
then you get - 1 * - 4 = 4
All of a sudden you get a positive result 6 * 4 = 24
60 * 24 = 1440
So the answer is any 3 plus numbers multiplied by 4 minus numbers gives a plus result.
Answer:
a) positive
Step-by-step explanation:
If 3 of the 7 numbers are positive, the other 4 are negative. The product of an even number of negative factors is positive. The product of any number of positive factors is positive.
The product is positive.
Given an undirected graph G= (V, E) determined by the adjacency matrix as follows:
01001
10111
01010
01101
11010
The number of odd degree vertices of the graph is
Select one
A.2
B.4
C.3
D.1
if anyone knows the question please help me :(
The degree of a vertex is defined as the number of edges that touch the vertex. The (i, j)-th entry of the adjacency matrix tells you whether vertex i touches vertex j (1 if yes, 0 if no). Then the degree of vertex i is equal to the sum of the i-th row in the adjacency matrix.
• vertex 1 : degree = 0 + 1 + 0 + 0 + 1 = 2
• vertex 2 : degree = 1 + 0 + 1 + 1 + 1 = 4
• vertex 3 : degree = 0 + 1 + 0 + 1 + 0 = 2
• vertex 4 : degree = 0 + 1 + 1 + 0 + 1 = 3
• vertex 5 : degree = 1 + 1 + 0 + 1 + 0 = 3
So, the correct answer is A. 2.
If A=−2x+8 and B=2x−4, find an expression that equals 2A+B in standard form.
Answer: -2x + 12
Step-by-step explanation:
2A + B = 2(-2x + 8) + (2x - 4) = -4x + 16 + 2x - 4 = -2x + 12
which measures form a triangle
[tex]\huge \rm༆ Answer ༄[/tex]
Measure of each side of a triangle can't be greater than the sum of the other two sides and can't be smaller than the difference between the two other sides. therefore the most appropriate choice is ~
4 cm , 7 cm and 9 cmI hope it helps ~
We have:
1) 3 + 5 = 8 ⇒ wrong
2) 4 + 7 > 9 ⇒ right
3) 2 + 11 < 15 ⇒ wrong
ANSWER: 4 cm, 7 cm, 9 cm
Ok done. Thank to me :>
Help me pllllllllllease! I have only got 2 minutes!
When I divide an integer by 15, the remainder is an integer from 0 to 14. When divide an integer by 27, the remainder is an integer from 0 to 26. For instance, if the integer is 100 then the remainders are 10 and 19, which are different. How many integers from 1 to 1000 leave the same remainders after division by 15 and after division by 27?
Answer:
Two minutes for what???
The curve y= 1/3 x⁴ - 4x² -3x has a gradient of -3 at three points.
Find the coordinates of these points.
Answer:
[tex]\boxed{(0, 0), (\sqrt{6}, -12-3\sqrt{6}), (-\sqrt{6}, -12+3\sqrt{6})}[/tex]
Step-by-step explanation:
Step 1: Take the derivative of the function with respect to x
[tex]\frac{d}{dx} (\frac{1}{3}x^4-4x^2-3x)\\=\frac{d}{dx} (\frac{1}{3}x^4)-\frac{d}{dx}(4x^2)-\frac{d}{dx}(3x)\\=\frac{4}{3}x^3-8x-3[/tex]
Now, you have the gradient of every point given the x value. We want the gradient to be -3, so,
Step 2: Set the derivative of the function equal to -3 and solve for x
[tex]\frac{4}{3}x^3-8x-3=-3\\\frac{4}{3}x^3-8x=0\\4x(\frac{1}{3}x^2-2)=0\\[/tex]
We can see that one solution is x=0.
The other 2 solutions are:
[tex]\frac{1}{3}x^2-2=0\\\frac{1}{3}x^2=2\\x^2=6\\x=\sqrt{6}, x=-\sqrt{6}[/tex]
Now that we found out the x value, we can plug it in back to the equation to find their respective y value:
x=0: y=0
x=sqrt(6): y=-12-3sqrt(6)
x=-sqrt(6): y=-12+3sqrt(6)
Hence we have our answer.
Work out m and c for the line: y = 8 − x
m=-1 and c=8 for the line y = 8 − x
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given equation is y = 8 − x
This equation we can write in the form of slope intercept form
y=-x+8
y=(-1)x+8
Now compare the above equation with slope intercept form
m=-1 and c=8
Hence, m=-1 and c=8 for the line y = 8 − x
To learn more on slope intercept form click:
https://brainly.com/question/9682526
#SPJ2
Solve the equation square root of x-2+5 = 7 for the variable. Show each step of your solution process
Answer:
x=4
Step-by-step explanation:
x+3=7
subtract 3 from both sides
simplify
3x-9=2(x-14)
show me the steps to do this
[tex]\\ \sf\longmapsto 3x-9=2(x-14)[/tex]
[tex]\\ \sf\longmapsto 3x-9=2x-28[/tex]
[tex]\\ \sf\longmapsto 3x-2x=-28+9[/tex]
[tex]\\ \sf\longmapsto x=-19[/tex]
Given -3, -2,0,3,7 .... Find the next term
Answer:
12
Step-by-step explanation:
5. How much would d dollars earn in one year at thē rate of p percent compounded annually?
Answer:
a
Step-by-step explanation:
a
I need help with this, can anybody help me? thank you, have. a great day!
Answer:a
Step-by-step explanation:
Answer:
As a mixed number, it is 3 5/8.
As an improper fraction it is 29/8.
Hope that helps you. x
-8 = m/3 + 2
Solve the equation.
m=?
Please explain using 2-step version
-8 = m/3 + 2
Subtract 2 from both sides
-10 = m/3
Multiply both sides by 3
M = -30
Answer:
[tex]m=-30[/tex]
Step-by-step explanation:
[tex]-8=\frac{m}{3}+2[/tex] <-- Given equation
[tex]3(-8)=3(\frac{m}{3}+2)[/tex] <-- Step 1: Multiply both sides by 3 to eliminate the fraction
[tex]-24=m+6[/tex]
[tex]-24-6=m+6-6[/tex] <-- Step 2: Subtract both sides by 6 to isolate "m"
[tex]-30=m[/tex] <-- Final Solution
HELP!!!
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the multiplication expressions to the exponential expressions.
Answer:
Step-by-step explanation:
Write the phrase "one more than the product of six and nine" as a mathematical expression.
Answer:
6.9+1
Step-by-step explanation:
hope it helps
[tex]\huge\mathfrak\blue{ ☃ }[/tex]
Answer:
the product of six and nine is fifty five
1/2 2/5 6/10 least to greatest
Answer:
2/5, 1/2, 6/10
Step-by-step explanation:
did problem
Answer:
1. 2/5
2. 1/2
3. 6/10
Step-by-step explanation:
Hope this helps
May I get braineist pls
Question
Bill needs to mow his yard which has the dimensions in the shape below. What is the area of yard he needs to mow?
Note: Round your answer to one decimal place.
12 m
5 m
15 m
Answer:
Step-by-step explanation:
imagine you chop off a right triangle from the left side
now you have a rectangle and a right triangle
the rectangle
height 5
width 12
5 x 12 = 60
triangle
height 5
width 3
3 x 5 = 15
15 / 2 = 7.5
60 + 7.5 = 67.5 m^2
Answer: 67.5 m^2
Step-by-step explanation:
To find out the area of the yard, we split the shape up into a triangle and rectangle. The area of the triangle is,
A = 1 × b × h/2 = 1 × 3 × 5/2 = 7.5 m^2.
And the area of the rectangle is,
A = 12 × 5 = 60 m^2.
We then add the area of the triangle and the area of the rectangle.
A = 7.5 + 60 =67.5 m^2
Rounded to one decimal place, the area of the yard is 67.5 square meters.
Help help math math
Answer:
5/1
Step-by-step explanation:
the y is 5units and the x is 1unit
Answer:
7/4
Step-by-step explanation:
Use rise over run to solve
4-(-3) 7
-------- = -
6-2 4
9. The length of a rectangle is 3 cm longer than twice the width. If the area of the rectangle is 65 cm2,
find its length and the width.
Answer:
length: 13 cm
width: 5 cm
Step-by-step explanation:
You may be aware that 65 = 5×13. We note that 13 is 3 more than twice 5, so these are the dimensions of the rectangle:
5 cm wide; 13 cm long
__
If you want so solve this algebraically, you can let w represent the width. Then the length is 2w+3 and the area is ...
A = LW
65 = (2w+3)(w)
In standard form, this equation is ...
2w^2 +3w -65 = 0
To factor this, you look for factors of 2×(-65) = -130 that have a sum of 3. Those would be ...
-130 = (-10)(13)
Then the factored equation is ...
2w^2 +13w -10w -65 = 0
w(2w+13) -5(2w+13) = 0
(w -5)(2w +13) = 0 ⇒ w = 5, -13/2
The positive solution makes sense in this problem, so ...
width = 5 cm
length = 2(5) +3 = 13 cm
A large community college has professors and lecturers. The total number of faculty members is 136. The school reported that they have 6 professors for every 11 lecturers. How many professors does the community college employ?
A guy wire runs from the top of a cell tower to a metal stake in the ground. Jayden places a 8-foot tall pole to support the guy wire. After placing the pole, Jayden measures the distance from the stake to the pole to be 5 ft. He then measures the distance from the pole to the tower to be 21 ft. Find the length of the guy wire, to the nearest foot.
Answer:
length of the guy wire: 49.056
Step-by-step explanation:
here are the steps
Answer:
47 FT
Step-by-step explanation:
what step is first when solving
3/4 x-3 = -18
NO LINKS WHATSOEVER
Answer:
Add 3 to both sides.
Step-by-step explanation:
Add 3 to both sides.
This is how you figure it out. Imagine you have a value you want to use for x on the left side, such as 5.
In other words, evaluate 3/4 x - 3 for x = 5
The left side turns into 3/4 × 5 - 3.
What order of operations would you use now on the left side.
1) Multiply 3/4 by 5
2) Subtract -3
To solve an equation, you do the opposite operations in the opposite order.
Since to evaluate the left side with a number for x, you end by subtracting 3, to solve the equation you start by adding 3. Then you divide by 3/4.
Answer: add 3 to both sides