Answer:
z = 32
Step-by-step explanation:
Add 3 to both sides.
5 + 3 = z/4 -3 + 3
8 = z/4
Multiply 4 on both sides. 8 times 4 is 32.
32 = z
Express y in terms of x, given 2x+3y =4. Check whether the point (2,1) lies on the given line.
Answer:
see explanation
Step-by-step explanation:
Given
2x + 3y = 4 ( subtract 2x from both sides )
3y = - 2x + 4 ( divide all terms by 3 )
y = - [tex]\frac{2}{3}[/tex] x + [tex]\frac{4}{3}[/tex]
To determine if the point (2, 1) lies on the line, substitute x = 2 into the right side of the equation and if the value obtained equals the y- coordinate of the point then it lies on the line.
y = - [tex]\frac{4}{3}[/tex] + [tex]\frac{4}{3}[/tex] = 0 ≠ 1
Ths (2, 1) does not lie on the line
The electrical resistance of a wire, R, varies directly as its length, L, and inversely as its cross sectional area, A. If the resistance of a wire is 0.08 ohm when the length is 100 ft and its cross-sectional area is 0.05 in^2 , what is the resistance of a wire whose length is 4000 ft with a cross-sectional area of 0.02in^2 ? a) Write the variation equation. (R=k(l/a) b) Determine the value of the quantity indicated. WILL MARK BRAINLIEST - 50PTS! NEED FAST - with work please so I understand how to do it, thank you:)
Step-by-step explanation:
(A)
Length of wire = 30.48 m
Area of cross section = 3.22 * 10 ^ -5 m^2
[tex]R = k \frac{l}{a} [/tex]
[tex]k = \frac{R \times a}{l} = \frac{0.08 \times 3.22 \times {10}^{ - 5} }{30.48} = 8.45 \times {10}^{ - 8} ohm \: m^{ - 1} [/tex]
(B) length of wire = 1219.2 m
Area of cross section = 1.29 * 10^-5 m^2
Resistance = 8.45 * 10^-8 * 1219.2 / 1.29 * 10^-5 = 7.98 Ohms
There are 2 students in James' class. How many students remain if 3 go outside?
Answer:
-1
Step-by-step explanation:
At a place 11 Friends met together and they shook their hands. how many hand-shakings did they do?
Answer:
121
Step-by-step explanation:
Because every one of them shook with each other and one person shook 11 times so 11 into 11 is 121.
Answer:
55 handshakes.
Step-by-step explanation:
n(n-1)
----------
2
= 11(11-1) / 2
= 11* 10 / 2
= 110 / 2
= 55
i. dont know what to do jesys chrusr
y/2 - 1/5 = 2 - y/3
please tell me this asap
Answer:
y=2 16/25
in other words, two and sixteen twenty-fifths
Step-by-step explanation:
y/2-1/5=2-y/3
Move the variables to one side and constants to the other
y/2+y/3=2+1/5
Multiply y/2 by 3/3 and y/3 by 2/2 so that they have a common denominator
3y/6+2y/6=2 1/5
5y/6=11/5
Cross multiply
66=25y
y=66/25
y=2 16/25
HOPE THIS HELPS!!!
The population of a small town can be described by the equation PN equals 4000+70n. Where n is the number of years after 2005. Explain in words what this equation tells us about how the population is changing.
Answer:
The current population (in 2005) is 4000 because it is the constant. The slope tells us how many people are added to the population, so 70 per year. For ex. 2008 (2008- 2005 = 3=> 3 x 70 = 210 => 210 + 4000 = 4210).
If f(x) = 5x + 40, what is f(x) when x = -5? 0 g -8 O 7 O 15
answer is 15
[tex]f(x)=5x+40\\f(-5)=5(-5)+40\\f(-5)=-25+40\\f(-5)=15[/tex]
If f(x) = 5x + 40, then the value of f(x) when x = -5 is: 15.
option D is correct.
Here, we have,
given that,
f(x) = 5x + 40
now, we have to find the value of f(x) when x = -5.
To find the value of f(x) when x = -5,
we substitute -5 into the function f(x) = 5x + 40:
we get,
f(-5) = 5(-5) + 40
= -25 + 40
= 15
Therefore, f(x) when x = -5 is 15.
Hence, If f(x) = 5x + 40, then the value of f(x) when x = -5 is: 15.
option D is correct.
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A company ships coffee mugs using boxes in the shape of cubes. The function g(x) = the cube root of x gives the side length, in inches, for a cube with a volume of x cubic inches. Suppose the company decides to double the volume of the box. Which graph represents the new function?
Step-by-step explanation:
Initially, let the side of the cubical box is [tex]a[/tex] inches,
So, the volume of the box, [tex]x = a \times a \times a= a ^3[/tex].
Given that [tex]g(x)=\sqrt[3]{x} =\sqrt[3]{a^3}[/tex]
[tex]\Rightarrow g(x)=a \; \cdots (i)[/tex]
On doubling the volume of the box, the new volume is [tex]2x[/tex].
So, [tex]g(x)=\sqrt[3]{2x} =\sqrt[3]{2a^3}[/tex]
[tex]\Rightarrow g(x)=\sqrt[3]{2} a \; \cdots (i)[/tex]
As [tex]\sqrt[3]{2} >1[/tex], so the graph of [tex]g(x)=\sqrt[3]{2} a[/tex] will be above of the [tex]g(x)=a[/tex] as shown in the graph.
I want the answer for this doubt Click on the link
Answer:
[tex] {x}^{2} = 16 \\ x = 4 \\ y = 1[/tex]
Have to FOIL: (3x + y) (2x - y)
Hi there! :)
Answer:
6x² -xy - y²
---- --- --- --- --- --- --- --- --- --- --- ---
(3x + y) ( 2x - y)
FOIL: (First, Outer, Inner, Last)
3x(2x) + 3x(-y) + y(2x) + y(-y)
Simplify:
6x² -3xy + 2xy - y²
6x² -xy - y²
In an isosceles triangle, the longest side measures c units. The other sides of the triangle measure a units. Which equation can be used to determine if the triangle is a right triangle?
a squared = c squared
2 a squared = c squared
a Superscript 4 Baseline = c squared
2 a = c
Answer:
2a² = c²
Step-by-step explanation:
Right triangles follow the Pythagorean Theorem, a² + b² = c². The hypotenuse (c) must be the longest of the sides. In the given triangle, both legs measure a units. So, a = b. Therefore, we have a² + a² = c² or 2a² = c².
The equation can be used to determine if the triangle is a right triangle is c² = 2a².
What is Pythagorean Theorem?The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagorean theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
The well-known Pythagorean Theorem states that the square on the hypotenuse of a right triangle equals the sum of the squares on its legs.
The longest side measures c units.
The other sides of the triangle measure a units.
As, we know that longest side is the Hypotenuse.
Using the Pythagorean Theorem
H² = P² + B²
c² = a² + a²
c² = 2a²
So, the Correct statement is c² = 2a².
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2x - 4y=28+6y=10
Write equation in slope-intercept form
Answer:
Step-by-step explanation:
Y=1/2x - 5/2
simply by distributing and combining like terms
-7(w-4)+3w-27
Answer:
answer is in the box. I hope this helps! :)
The relationship between two variables is inverse when a decrease in one variable is associated with an increase in the other variable. A. False B. True
Answer: True
If one variable goes down, then the other goes up, and vice versa. Think of it like a see-saw. We'll have x on one side pushing down to make y go up. An example of this would be y = 1/x which graphs out a hyperbola.
The statement "two variables is inverse when a decrease in one variable is associated with an increase in the other variable." is True statement.
What is Inverse Proportion?One kind of proportionality relationship is inverse proportion. If two quantities are inversely related, one will increase while the other will decrease. Building a wall would be an example of an inverse proportion in action.
Given:
We know in direct relation if one quantity increase then another quantity increase.
and, in Inverse Relation if one quantity increase then other Quantity decrease.
So, two variables is inverse when a decrease in one variable is associated with an increase in the other variable is true statement.
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16= -16h i have no clue what the answer is so ya :/
Answer:
Hey there!
-16h=16
Divide both sides by -16
h=-1
Hope this helps :)
Answer:
h = -1
Step-by-step explanation:
inverse operation:
16 = -16h
divide by -16 on both side
-1 = h
NEED HELP WITH NUMBER 4!!!?
on the number line the numbers to the left have least value
M is the midpoint of AB. If AM = 5x+10 & MB = 4x+16, find the value of AM
Answer:
[tex]AM =40[/tex]
Step-by-step explanation:
Given
[tex]AM = 5x + 10[/tex]
[tex]MB = 4x + 16[/tex]
Required
Determine AM
Since M is the midpoint, we have that;
[tex]AM = MB[/tex]
Substitute values for AM and MB
[tex]5x + 10 = 4x + 16[/tex]
Collect Like Terms
[tex]5x - 4x = 16 - 10[/tex]
[tex]x = 6[/tex]
To solve for AM; substitute 6 for x in [tex]AM = 5x + 10[/tex]
[tex]AM = 5 * 6 + 10[/tex]
[tex]AM =30 + 10[/tex]
[tex]AM =40[/tex]
What is the first step in solving the equation 4.2 y minus 5.2 = 18.5?
Answer:
add 5.2
Step-by-step explanation:
Identify 21, 46, and 57 as prime or composite.
HELP!!
21 is composite because its factors are 1, 3, 7 and 21. If a number has 3 or more factors, then it's composite.
46: 1, 23, 46.
57: 1, 3, 19, 57.
Hope this helps!
#HaveAnAmazingDay
[tex]GraceRosalia[/tex]
The numbers 21, 46, and 57 are composite numbers.
Given,
21, 46 and 57
We need to identify which are prime or composite numbers.
What are prime numbers and composite numbers?Prime number - The numbers whose factor is only 1 and itself.
Example: 2, 5, 7
2 x 1 = 2
5 x 1 = 5
7 x 1 = 7
Composite number - The numbers which have factors other than itself and 1.
Example: 4, 6, 8
4 = 2 x 2
6 = 2 x 3
8 = 2 x 4
Find the factors
21 - 7 x 3
46 - 2 x 23
57 - 3 x 19
We see that each number has factors other than 1 and itself.
So,
21, 46, and 57 are composite numbers.
Thus 21, 46, and 57 are composite numbers.
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Which equation describes a line that passes through (-6,8) and is perpendicular to the line described by y=2x-4
Step-by-step explanation:
Hey, there!!
The given is a point (-6,8) through which a line passes. And is perpendicular to the line y = 2x-4
The equation for point (-6,8) is,
(y-8)= m1(x+6)...........(i)
and given equation is y = 2x-4............(ii)
Now, from equation (ii).
slope (m2)= 2 { as equation (ii) is in the form of y= mx+c where m is a slope}.
Now, For perpendicular,
m1×m2= -1
m1×2= -1
[tex]m1 = \frac{ - 1}{2} [/tex]
Therefore, m1 = -1/2.
Putting, the value of m1 in equation (i).
(y-8) = -1/2×(x+6)
2(y-8)= -1(x+6)
2y - 16 = -x -6
x+2y-10 = 0......... is the required equation.
Hope it helps...
A container holds 2/3 gallon of apple juice if four people from the cross country track trans share the juice equally how much juice will each team member get
Answer:
you divided and the answer is 1/6
Step-by-step explanation:
Answer:
1.) You would divide to solve this problem.
2.) Each runner will get 1/6 gallon of apple juice.
Step-by-step explanation:
I'm SO sorry for the late answer, but I do hope this helps! Have a good day and stay safe! :D
(I'm not sure on how to explain this answer, sorry!)
Solve for m: am/c = n
Hey there! I'm happy to help!
We want to get m all by itself on one side of the equation. To do this, we use inverse operations on both sides of the equation to cancel out variables on one side to isolate m.
am/c=n
We multiply both sides by c.
am=nc
We divide both sides by a.
m=(nc)/a
I hope that this helps! Have a wonderful day! :D
What is the equation of the polynomial function?
Answer:
f(x) = (1/2)(x-2)^2(x+1)(x+2)
Step-by-step explanation:
You can determine this by looking at the zeroes of the graph. For any zero that goes through the x-axis, the power of that zero is odd. For any zero that that "bounces" from the x-axis, the power of that zero is even.
Starting from left to right, we can see that the first zero, -2, goes through the x-axis. That means (x+2) is raised to an odd power. The second zero, -1, also goes through, so (x+1) is raised to an odd power. The last zero, 2, bounces off the x-axis, so (x-2) is raised to an even power. The only functions that satisfy this criteria are function 1 and 2.
However, we are not done yet. We need to figure out which multiplier value (1/2, 1/4) is correct. To do this, we plug in 0 for x, since we know that the y-intercept is 4. When we plug in 0, we see that f(0) = 4 for the first function. Therefore, the first function is the answer.
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A graph where the horizontal axis shows time (t), numbered 1 to 4, and the vertical axis shows height (h) numbered 10 to 60. Solid circles appear at point (0, 48), point (1, 64), point (3, 0). A solid curved line connects all 3 points.
Leon throws a ball off a cliff. The graph represents a relation that models the ball’s height, h, in feet over time, t, in seconds.
What is the domain?
Answer:
the answer is A
Step-by-step explanation:
just did it
Answer:
a
Step-by-step explanation:
Consider the partial construction of a line parallel to liner through point Q.
What would be the final step in the construction?
Draw a line through P and S.
Draw a line through W and S.
Draw a line through Q and S.
Draw a line through T and S.
Answer:
Option (3)
Step-by-step explanation:
To construct a line parallel to the line through point Q we will follow the following steps,
1). We join two points P (on the line) and point Q above the line PT with the help of a straightedge.
2). Now we will copy the angle QPT at point P with the help of a compass (Arcs as shown in the figure)
3). Finally we will join points Q and S to construct a line QS parallel to the line PT.
Therefore, Option (3) will be the answer.
Explain why angle is considered a defined term in geometry.
Answer:
Step-by-step explanation:
In Euclidean geometry there are three undefined terms: Points, line and plane. An angle is a defined term, since it is formed by two lines that intersects each other and are coplanar.
The difference between a number and 20 is 45...
Answer:
Step-by-step explanation:
25
Solve for x.
0.3 (12x – 16) = 0.4(12 — 3x)
A: 2
B: -4
C: 4
D: -2
Answer:
Step-by-step explanation:
the answer is 2 if you go to the website www.tiger-algerbra.com>drill>0.3(12x-16)=0.4(12-3x)
A cell phone manufacturer designed the new packaging shown below that will hold a cell phone, accessories, and an owner's manual. Which is the volume of the new packaging? A small rectangular prism sitting on top of a larger rectangular prism. The top prism measures 5 inches by 1 inch by 2 inches. The bottom prism measures 5 inches by 4 inches by 1 plus 3 inches. 130 in.3 120 in.3 110 in.3 90 in.3
Answer:
90 inches³
Step-by-step explanation:
Given that:
A small rectangular prism sitting on top of a larger rectangular prism. The top prism measures 5 inches by 1 inch by 2 inches.
The bottom prism measures 5 inches by 4 inches by 1 plus 3 inches
Volume of rectangular prism = (width * length * height)
Volume of smaller prism: ( 5 * 1 * 2) inches = 10inch³
Volume of larger prism : (5 * 4 * (1 +3)) inches
(5 * 4 * (1 +3)) inches = (5 * 4 * 4) inches = 80 inches³
Total volume of the new packaging:
Volume of smaller + volume of larger prism
10 inches³ + 80 inches³ = 90 inches³