Answer:
x=5 y=3 z=5
Step-by-step explanation:
The coefficient is the number in front of the variable
Answer:
coefficient of x: 6coefficient of y: 3coefficient of z: 5Step-by-step explanation:
The coefficient in an expression is the multiplier of a designated part of a term of the expression.
__
coefficients hereThe given expression is
5z -2 +6x +3y
It consists of four (4) terms, added together. One term is a constant, -2. The others each have a single variable that is multiplied by a constant. When we ask for the coefficient of the variable, we are asking for the value of that constant multiplier.
The term containing x is 6x. The multiplier of x in that term is 6, so we say ...
the coefficient of x is 6.
The term containing y is 3y. The multiplier of y in that term is 3, so we say ...
the coefficient of y is 3.
The term containing z is 5z. The multiplier of z in that term is 5, so we say ...
the coefficient of z is 5.
__
other coefficientsIn an expression such as πr²h, different parts of the expression will have different coefficients. If we ask for the coefficient of the expression, we are generally asking for the constant: π. (The Greek letter pi is the symbol used to represent the irrational constant ratio between the circumference and diameter of a circle. Is is about 3.1415926535....)
If we ask for the coefficient of h, we are asking for the product (πr²) that multiplies h in this expression. Similarly, the coefficient of r² is (πh). Note that we have specified a "designated part" of the expression for which we want the coefficient. This is important when we are solving equations.
__
The commutative property of multiplication means that parts of a product can be written in any order. That is, 5·z is the same product as z·5. When the constant and variable parts of the expression can be unambiguously identified, the order does not matter. In some cases, a constant coefficient may come in several parts: 3z·5·2 has a z-coefficient of 30, for example.
See below for a case where there may be some ambiguity.
__
exponentsIn the expression r², the constant 2 that comes after the variable, written as a superscript, is called an "exponent," not a coefficient. Often on Brainly, and sometimes in curriculum materials, you will see this written as r2, because superscripts do not get properly rendered. If you're writing this in plain text, the form r^2 is preferred.
I need to find values of product and quotient functions
The answers are 8 and 2
What is a function?A function is an equation that establishes a relationship between two or more variables.
Analysis:
r(x) x s(x) = 2[tex]\sqrt{x}[/tex] x [tex]\sqrt{x}[/tex] = 2x
r2(4) = 2 x 4 = 8
r(x)/s(x) = 2[tex]\sqrt{x}[/tex]/ [tex]\sqrt{x}[/tex] = 2
In conclusion, the values of the product and quotient of the functions are 8 and 2 respectively.
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The height in feet of 25 trees is shown below (lowest to highest). 25, 27, 33, 34, 34, 34, 35, 37, 37, 38, 39, 39, 39, 40, 41, 45, 46, 47, 49, 50, 50, 53, 53, 54, 54
outlier if any
There are no outliers in the dataset of the heights in feet of 25 trees
How to determine the presence of outliers?The sorted dataset is given as:
25, 27, 33, 34, 34, 34, 35, 37, 37, 38, 39, 39, 39, 40, 41, 45, 46, 47, 49, 50, 50, 53, 53, 54, 54
Outliers are relatively far from other elements of the dataset.
The highest and the least elements are 54 and 25, respectively.
Other elements of the dataset are relatively close to these two elements
Hence, there are no outliers in the dataset of the heights in feet of 25 trees
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A hiking trail is shown as 14cm on a map the scale is 1:150000 how far in km is it in real life.
the scale says that each unit (cm/km/in/...) on the map is 150,000 times that unit so:
14cm on the map
= 150,000×14cm
= 2,100,000 cm
= 2100 km
(= 2.1 Mm)
Using the GCF factor the given expression: 21xy + 14y
7(3xy + 2y)
7y(3x + 2)
3(7xy + 14y)
7xy(3 +2)
ASAP
Since 7y is common to both factors, therefore the GCF of the expression is 7y. The factored form will be 7y(3x + 2)
Greatest common factor of an expressionThe greatest common factor is the value that will divide an expression without leaving a remainder.
Given the expression 21xy + 14y
Find the factors
21xy = 7 * 3 * x * y
14y = 7 * 2* y
From the factors above, it is clear that 7 and y are the greatest common factors.
Since 7y is common to both factors, therefore the GCF of the expression is 7y. The factored form will be 7y(3x + 2)
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Factor out
21xy=3×7×y×x14y=2×7×ySo
7y is common hence 7y is GCFNow factor up
7y(3x+2)Option B
A ball is thrown into the air with an initial velocity of 80 ft/sec. The height of the ball after t seconds in the air is given by h(t) = -16t? + 80t + 96. When will the ball be at its
highest point? Show all work.
Check the picture below.
[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ h(t)=\stackrel{\stackrel{a}{\downarrow }}{-16}t^2\stackrel{\stackrel{b}{\downarrow }}{+80}t\stackrel{\stackrel{c}{\downarrow }}{+96} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)[/tex]
[tex]\left(-\cfrac{ 80}{2(-16)}~~~~ ,~~~~ 96-\cfrac{ (80)^2}{4(-16)}\right) \implies \left( - \cfrac{ 80 }{ -32 }~~,~~96 - \cfrac{ 6400 }{ -64 } \right) \\\\\\ \left(\cfrac{5}{2}~~,~~96+100 \right)\implies \stackrel{highest~point}{\stackrel{\qquad ~~ \downarrow }{\left(2\frac{1}{2}~~,~~196 \right)}}[/tex]
Select the correct choice that completes the sentence below.
The expression
f(x+h)-f(x)
h
is called the
of f.
Answer:
difference quotient
Step-by-step explanation:
Find the distance between the points (5,0) and (-5,3)
Answer:
10.4
Step-by-step explanation:
√(5--5)²+(0-3)²
√100+9
√109=10.4
Tess has a garden that is 4 1/2 feet wide and 6 3/4 feet long. How many feet of fencing does she need to put around all sides of her garden?
Answer:
11.25
Step-by-step explanation:
6 3/4 + 4 1/2
i need help with this question
Helpppppp asap with this
Answer:
I have no clue, cant lie to you. God Bless you though.
Step-by-step explanation:
In the number 9,206.457138, what is the value of 1?
Answer:
0.0001 or 1/10000 or 1 ten thousandths
Step-by-step explanation:
The 1 is 4 places after the decimal point so has a value of :
0.0001 or 1/10000 or 1 ten thousandths
Hope this helped and have a good day
Now explore a few more-difficult problems.
Which of the following statements are true for all the
problems?
The first step is always to divide.
○ The last step is always to subtract.
The decimal always moves one place to the right.
The next to last step is always to multiply.
The statement that is true for all the problems is " The last step is always to subtract.". Option B. This is further explained below.
What is Arithmetic?Generally, Arithmetic is simply defined as the area of mathematics concerned with the study and manipulation of numbers and their properties.
In conclusion, "The final step is always to subtract." is the universally true solution to the difficulties.
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Answer: B & D
Step-by-step explanation: I did this assignment.
A wooden roller is 1 m long and 8 cm in diameter. Find it's mass in grams if 1cm³ of the wood has a mass of 0.7 g
Answer:
1120π grams
==> 3518.58 grams using value of π = 3.14159 or
==> 3520 grams using value of π = 22/7
Step-by-step explanation:
Volume of a cylinder = πr²l where r is the radius of the base and h is the length of cylinder
The diameter of the cylinder, d = 8cm and radius = d/2 = 4cm
Length = 1 meter = 100 cm
Here, volume V = π.4².100 = π x 16 x 100 = 1600π cm³
Since 1 cm³ has a mass of 0.7gm total mass
M = 0.7V = (0.7)1600π =1120π gm
Using the ratio 22/7 for pi we get
M = 1120 x 22/7 = 3520 g
If we use the more accurate value of π as 3.14159 then we get
M = 1120 x 3.14.159 = 3518.58 g which is more accurate
For the arithmetic sequence beginning with the terms (11, 17, 23, 29, 35), what is the sum of
the first 17 terms?
a.) 1116
b.) 1003
c.) 1235
d.) 896
Option B is the correct answer.
The sum of 17 terms of the given arithmetic sequence is 1003.
What is Arithmetic Sequence?An arithmetic sequence is a sequence where each term increases by adding/subtracting some constant k.
Here, given sequence :
11, 17, 23, 29, 35, ......
first term a = 11
common difference d = 17 - 11 = 6
n = 17
Sₙ = n/2 {2a + (n-1)d}
S₁₇ = 17/2 { 2 X 11 + (17-1)X6}
S₁₇ = 17/2 { 22 + 16 X 6}
S₁₇ = 17/2 X 118
S₁₇ = 17 X 59
S₁₇ = 1003
Thus, the sum of 17 terms of the given arithmetic sequence is 1003.
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Which conversion factor should be used to convert the 152.5 g to moles?
Answer:
Step-by-step explanation:
You will need to know the gram weight per mole from the periodic table for the element ( or the molecule of elements) in question.
2 ³✓3 × 3✓2 please answer this fast
[tex]2\sqrt[3]{3} \cdot 3\sqrt 2\\\\=6 \cdot \sqrt[3]{3} \cdot \sqrt 2\\\\=6\cdot 3^{\tfrac 13} \cdot 2^{\tfrac 12}\\\\\approx 12.24[/tex]
Give the standard form 80,000+200+2
Answer:
80,202 = 8.0202 × 10⁴
which inequality is represented by the graph
Answer:
This is your teacher if you do this again, I will contact your parents and you will get in big trouble.
Step-by-step explanation:
How many right angles are formed by perpendicular lines in spherical geometry?
A.
8
B.
6
C.
2
D.
3
Answer:
8
Step-by-step explanation:
I am good at math
Esther gave the storekeeper a twenty dollar bill for a purchase of $14.51. How
much change should she have received?
Answer:
She would have received $5.49 change
Answer:
$5.49 ~$5.50
Explanation: $20 - $15.51 = $5.49 therefore you have to round off which would initially equal to $5.50
hope you do well in math and thx for the help
[tex]|\Omega|=12^2=144\\|A|=4^2+3^2+5^2=16+9+25=50\\\\P(A)=\dfrac{50}{144}=\dfrac{25}{72}\approx35\%[/tex]
The diagram shows a circle inside a square (16cm)
work out the area of the circle
The area of the circle inside the square shape is 200.96 cm²
How to determine the area of the circle?The length of the square is given as:
L = 16 cm
This represents the diamater (d) of the circle.
The area of the circle is then calculated as:
Area = π(d/2)²
This gives
Area = 3.14 * (16/2)²
Evaluate
Area = 200.96
Hence, the area of the circle is 200.96 cm²
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Find dy/dx of y = sin inverse ( x - 1 ).
[tex] \frac{1}{ \sqrt{1 - {(x - 1)}^{2} } } [/tex]
For each of the descriptions below, create a system of linear inequalities (please help will mark brainliest for whoever answers correctly!)
Answer:
hope you can understand
What is the surface area of this 3d character based off the illustration. Can you provide explanation. Thank you.
The surface area of this 3d character based off the illustration will be 289.
How to explain the surface area?It should be noted that the surface area simply means the amount of space that covers the outside of a shape.
Here the length of the shape is 17 and the width is also 17 as well. It should be noted that the width and length are determined by looking at the axis of the shapes drawn.
In this case, the area will be:
Length × Width
= 17 × 17
= 289
In conclusion, the surface area is 289.
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⚠️WILL GIVE BRAINLIEST⚠️Which equation represents circle N?
A.
(x + 7)2 + (y − 6)2 = 25
B.
(x − 7)2 + (y + 6)2 = 25
C.
(x + 7)2 + (y − 6)2 = 50
D.
(x − 7)2 + (y + 6)2 = 50
Answer:
your answer is option C
Step-by-step explanation:
hope you can understand
Answer:
The answer is indeed C, (x + 7)2 + (y − 6)2 = 50
Step-by-step explanation:
Got it right on edmentum/plato, the other guy is correct. Give him brainliest!
What is the solution to this system of equations? 2x+y-5z=4 x+3y+z=5 3x-y-4z=-11
For the given linear system equations, the value for the variables are: x=-2, y=4, and z=-5 - Option C.
System of Linear Equations
System of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.
The question gives:
2x+y-5z=4 (1)
x+3y+z=5 (2)
3x-y-4z=-11 (3)
First, you should sum equations 1 and 2. The results will be:
3x+4y-4z=9 then you have a new equation (4).
3x-y-4z=-11 (3)
3x+4y-4z= 9(4)
Now, you should multiply equation (3) by -1, then you will have:
-3x+y+4z=+11 (3)
3x+4y-4z=9 (4)
After that, you should sum the previous equations: (3) and (4).
5y=20
y=4
For find z, you should multiply equation 2 by -2. After that, you should sum equations 1 and 2.
2x+y-5z=4 (1)
-2x-6y-2z=-10 (2)
Thus, you will have:
-5y-7z=-6, like y=4 you have
-5*4-7z=-6
-20-7z=-6
-7z=14
z=-2
If z=-2 and y=4 from equation 2, you can find x.
x+3y+z=5
x+3*4-2=5
x+12-2=5
x+10=5
x=5-10
x=-5
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please help please help
Answer:
angleEAF=angleBAC (शिर्षभिमुख कोण भएर)
10x+90+5x=180 (सरल कोण भएर)
or, 15x+90=180
or, 15x=180-90
or, 15x=90
or, x=90÷15
or, x=4
Answer:
x=6
Step-by-step explanation:
90°+5x+10x=180°
90°+15x=180°
15x=180°-90°
15x=90°
x=90/15
=6
10×6=60
5×6=30
60°+30°=90°
90°+90°=180°
x=6 QED
value of the discriminant for the equation -3x=-x^2+2x
6 liters of a gas has a pressure of 4 atmospheres. The gas's original pressure was 6 atmospheres.
What was the original volume in liters?
Enter your answer as a decimal to the 10th place, like this: 4.2 l
The original volume of the gas was 9.0 liters.
What is proportion?Proportion is a mathematical expression of quantities in their rate form.
Analysis:
If 6 liters of the gas has a pressure of 4 atmosphere.
Then 1 atmosphere of the gas is 6/4 liters
Therefore 6 atmospheres = 6/4 x 6 = 9.0 liters
In conclusion, the Original volume of the gas was 9.0 liters
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