arlett is playing a video game. She spends 900 minerals to create 18 workers. Each worker costs the same number of minerals.
Write an equation to describe the relationship between m, the amount of minerals, and w, the number of workers.
The required equation is m/w = 900/18
What is meant by an equation?
An equation is a formula in mathematics that expresses the equality of two expressions by linking them with the equals sign. The word equation and its cognates in various languages may have somewhat different definitions; for example, in French, an équation is defined as including one or more variables, but in English, an equation is any well-formed formula consisting of two expressions linked by an equals sign. Differential equations are equations in which one or more functions and their derivatives are involved. They are solved by locating a function expression that does not use derivatives. Differential equations are used to represent processes with variable rates of change in fields such as physics, chemistry, biology, and economics.
The required equation is m/w = 900/18
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which of the following graphs is increasing only when x <0?
The only correct option from the given graph is Graph X.
Role of function's derivative to detect whether a function is rising or decreasing on any interval in its domain.A function's derivative can be used to detect whether a function is rising or decreasing on any interval in its domain. If f′(x) > 0 at every point in an interval I, the function is said to increase on I. If f′(x) 0 at every point in an interval I, the function is said to be declining on I.
When we draw tangents to the curve, we can see that if the gradient of the tangent is positive, the function is rising, and if the gradient is negative, the function is dropping.
The given figure Y is the graphs only increase when x = 0.
Let's look at each graph individually.
When x0, graph W really decreases, therefore it is erroneous.
Because graph X grows when x0 but not when x0, it is a plausible explanation.
Because graph Y drops at x0, it is erroneous.
Graph Z grows when x0, but it also increases when x0, indicating that Graph Z is erroneous.
The only right answer is Graph X.
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I need help with this problem
Could use some help
The quadrilateral FGHI is a parallelogram
How to complete the blanksFrom the question, we have the following parameters that can be used in our computation:
F = (0, -6), G = (7, -4), H = (8, 4), I = (1, 2)
The lengths can be calculated as
Lengths = √[(x₂ - x₁)² + (y₂ - y₁)²]
Using the above as a guide, we have the following:
FG = √[(0 - 7)² + (-6 + 4)²] = √53
GH = √[(8 - 7)² + (4 + 4)²] = √65
HI = √[(8 - 1)² + (4 - 2)²] = √53
IF = √[(1 - 0)² + (2 + 6)²] = √65
For the slopes, we have
Slope = (y₂ - y₁)/(x₂ - x₁)
So, we have
FG = (-6 + 4)/(0 - 7) = 2/7
GH = (4 + 4)/(8 - 7) = 8
HI = (4 - 2)/(8 - 1) = 2/7
IF = (2 + 6)/(1 - 0) = 8
Based on the above computations, we have
Opposite sides are equalOpposite sides are parallelHence, the shape is a parallelogram
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Solve the system by substitution.
y = -2x + 16
y = 2x
Answer: y = 8 , x = 4
Step-by-step explanation:
gosh darn i haven done this since algebra 1 !!
since both equations equal y, we can make them equal to each other since y = y
-2x +16 = 2x (im just gonna simplify without all the extra steps sorry)
x = 4 (this is the first answer)
now we can plug in x to find y
y = 2(4)
y = 8 (second answer)
im sorry if the grammar is horrid its 3 am
What equation can be used to solve for x
Which figures have more than one base? Select three options.
O cone
cylinder
rectangular prism
rectangular pyramid
triangular prism
Answer:
cylinderrectangular prismtriangular prismStep-by-step explanation:
The figures that come to a point (cone, pyramid) only have one base. The others have two:
cylinder
rectangular prism
triangular prism
Answer:
B-cylinder
C-rectangular prism
E-triangular prism
Step-by-step explanation:
Got it right on edge unit test
HELP. Drag the tiles to the correct boxes to complete the pairs.
Match each product of complex numbers with its value.
Answer:
\(i^{2} (2i^{2} -5)\)
\(2i^{2} \times i^{2} -5i^{2}\)
\(2(-1)(-1)-5(-1)\)
\(2+5\)
\(=7\) \(i^{2}(2i-5)\)
------------------
\(i^{2} (3+i^{2} )\)
\(i^{2} \times 3+i^{2} \times i^{2}\)
\((-1)3+(-1)(-1)\)
\(-3+1\)
\(-2\) \(=i^{2} (3+i^{2} )\)
---------------------
\(2i(2i-i^{3} )\)
\(2i\times 2i-i^{3} \times2i\)
\(4i^{2} -2i^{4}\)
\(4(-1)-2(1)\)
\(-4-2=\)
\(-6=2i(2i-i^{3} )\)
-------------------
\(i(4i^{3} -i)\)
\(4i^{3} \times i-i\times i\)
\(4i^{4} -i^{2}\)
\(4(1)-(1)\)
\(4+1=5\)
--------------------
ANSWER:
\(-6\Longrightarrow 2i(2i-i^{3} )\)
\(5\Longrightarrow i(4i^{3} -i)\)
\(7\Longrightarrow i^{2} (2i-5)\)
\(-2\Longrightarrow i^{2} (3+i^{2} )\)
----------------------------
Hope it helps...
Have a great day!!
2 and 1/6 divided by 4 and 1/3, help pls
Answer:
The answer is 1 9/19
Step-by-step explanation:
I need help please help me.
Liam spent $42 on 8 pounds of strawberries at $x per pound and a $15 bouquet of flowers. Write an equation that can be used to find the cost of one pound of strawberries.
Answer:
42=8x+15
Step-by-step explanation:
He spent a total of $42 and $15 of that $42 went to the flowers. It was $x per pound.
Could someone please help me on math? Due soon! Thanks
The measure of angle A is 79.
We have,
The opposite angles of a cyclic trapezium are supplementary, meaning they add up to 180 degrees.
Now,
∠A + ∠C = 180
∠C = 101
So,
∠A = 180 - 101
∠A = 79
Thus,
The measure of angle A is 79.
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Find a has just one ton of fuel left and has requested prime beef to refuel Plan B has 21 tons of fuel do you transfer happens at the right of one time per minute use this information as well as the activity and find out how long it'll take to refill my name to both plans are the same I feel
Answer:
10 minutes.
Step-by-step explanation:
Plane A = 1 ton of fuel left
Plane B = 21 tons of fuel Left
Fuel transfer = 1 ton per minute
In order for them to have the same amount of fuel,
We add up the fuel left in Plane A and Plane B
= 21 + 1 = 22 tons
This means each plane will equally have 11 tons
How long it will take to refuel plane A until both planes have the same amount of fuel is calculated as:
Plane B will transfer 10 tons of fuel to Plane A which would give plan A a total of 11 tons.
Since transfer rate = 1 ton per minute
= 1 ton = 1 minute
10 tons = 10 minutes.
The rim of the volcanic crater shown below is a circle. The diameter is 840 m.
What is the circumference of the rim of the crater in kilometres (km)?
Give your answer to 1 d.p.
840 m
Not drawn accurately
Answer:
2.6 kilometers
Step-by-step explanation:
To find the circumference of a circle, we can use the formula:
Circumference = π * diameter
Given that the diameter of the volcanic crater is 840 meters, we can substitute this value into the formula:
Circumference = π * 840
Using the approximate value of π as 3.14159, we can calculate the circumference:
Circumference = 3.14159 * 840
Circumference ≈ 2643.1796 meters
To convert the circumference to kilometers, we divide the value by 1000:
Circumference in kilometers = 2643.1796 / 1000
Circumference ≈ 2.6432 kilometers
Therefore, the circumference of the rim of the volcanic crater is approximately 2.6 kilometers (rounded to 1 decimal place).
please help me! im confused
Answer:
Mean:54
Step-by-step explanation:
Mean is the average number (total number of emails divided by how many days she sent them in)
Monday:28
Tuesday:46
Wednesday:52
Thursday:50
Friday:64
(28+46+52+50+64)/5
=270/5
=54
Answer:
48
Step-by-step explanation:
Monday- 28 emails
Tuesday-46 emails
Wednesday- 52 emails
Thursday-50 emails
Friday-64 emails
add them together- 240
240/5
The mean number of emails is 48
Answer the questions below. Write your answers in simplest form. (a) A square has an area of 81 What is the length of each side? (b) A square has a perimeter of 49 What is the length of each side?
Step-by-step explanation:
remember, a square has 4 equally long sides.
(a)
the area of a square is
side length × side length = (side length)²
hence the name "square".
therefore, the side length is the square root of the area.
sqrt(81) = 9
so, the length of each side is 9.
(b)
the perimeter of a square is
4 × side length
therefore, side length = perimeter/4
49/4 = 12.25
so, the length of each side is 12.25.
*
What is a degree two polynomial function called?
Answer:
a quadratic function
Step-by-step explanation:
A quadratic function is a second-degree polynomialfunction, and when graphed is called a parabola.
Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. {5,5/3,5/9
The general term of the given sequence is given by: \(5(\frac{1}{3}) ^{n-1}\)
What is a Geometric Progression and what is its General Term?
Geometric progression refers to a special progression, or a sequence of numbers, in which each successive term is a fixed multiple of the term preceding it.
For a geometric progression having first term 'a', a constant ratio of the terms be 'r' and 'n' number of terms, then:
General Term of Geometric Progression(G.P.) = \(ar^{n-1}\), where r > 0.
Given: \(5,\frac{5}{3},\frac{5}{9},...\)
Here, for the given G.P., a = 5, r = \(\frac{1}{3}\)
Then, the general term = \(5(\frac{1}{3}) ^{n-1}\), if the given G.P. has 'n' terms.
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can SOMEONE plz HELP!?!?!
Answer:
a. 100 m
b. 900 m
c. 5,100 m
d. 8,800 m
e. -650 m
Step-by-step explanation:
2/3p + 3 p=3/5 HELP ME
Answer:
p=9/55
Step-by-step explanation:
Answer:
\( \frac{2}{3} + 3 = \frac{11}{3} \\ \frac{11}{3} p = \frac{3}{5 } \\ p = \frac{3}{5} \times \frac{3}{11} = \frac{9}{55} \)
what are the steps in solving
12x+4=20x+24
Answer:
x = -5/2
Step-by-step explanation:
12x+4=20x+24
-8x + 4 = 24
-8x = 20
x = -5/2
what is the difference between the critical value of z and the observed value of z (test statistic)?
The critical value of z separates the rejection region from the nonrejection region while observed value of z is the value calculated for a sample statistic such as x.
A critical value of z is used when the sampling distribution is normal, or close to normal. The critical value of z refers to the point that cuts off area under graph for the standard normal distribution separating the rejection and nonrejection region of the data. The Critical value of z can indicate what probability any particular variable will have. These values are typically obtained from a table such as the standard normal distribution table. The observed value of z is a value determined for a sample statistic x. It is a test statistic for Z-tests that measures the difference between an observed statistic and its hypothesized population parameter in units of the standard deviation.
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(−4, 4) to the line y=−2x+1
Answer:
that is not a point to the line
Step-by-step explanation:
Which point is a solution to ys 4x + 5?
O A. (0,10
O B. (-6,4)
O C. (-4,0)
O D. (0-2)
if the radius of a circle is 3 meters what is the circle diameter
Answer: d=6m
Step-by-step explanation:
d=6m
r Radius
3
m
d
r
r
r
d
d
C
A
Solution
d=2r=2·3=6m
Answer:
D=6m
r=3
solution just in case you need it d=2 r = 2▪︎3=6m
Find the total surface area of this prism where the cross-section is an isosceles triangle.
Answer:
620 cm2
Step-by-step explanation:
The base of the prism is a rectangle with 24 cm x 10 cm, so the base area is:
B = 24 * 10 = 240 cm2
The cross section is a triangle with base = 24 cm and height = 5 cm, so its area is:
C = 24 * 5 / 2 = 60 cm2
The sides are rectangles with 10 cm x 13 cm, so their area is:
D = 10 * 13 = 130 cm2
The total surface area is:
S = B + 2C + 2D = 240 + 2*60 + 2*130 = 620 cm2
Mr. Lee is 32 years older than his son. Five years later, Mr. Lee’s age will be 5 times that of his son. How old is Mr. Lee now?
Answer: mr lee is 37 year .
Step-by-step explanation:32+5=37
Answer:
Mr. lee is 35 yrs old right now. his son 3
Step-by-step explanation:
after 5 yrs, his son will be 8 and lee 40, 8×5=40
does anything in the plot of the semimajor axis versus the period change when the eccentricity is changed?
Yes, the connection between the semimajor axis and an orbit's period varies as the eccentricity of the orbit changes.
What is eccentricity?In geometry, the eccentric definition is the distance from any point on a conic section to the focus divided by the perpendicular distance from that point to the nearest directrix. In general, eccentricity aids in determining the curvature of a form. The eccentricity grows as the curvature lowers.
Here,
In general, an orbit's period is proportional to the square root of the semimajor axis multiplied by three. This connection, however, is only valid for circular orbits with zero eccentricity. When the eccentricity is larger than zero, the period of the orbit is still determined by the magnitude of the semimajor axis, but it is also determined by the form of the orbit as given by the eccentricity. The relationship between the semimajor axis and the period in this situation is not as straightforward as a proportionate relationship.
As a result, modifying an orbit's eccentricity modifies the connection between the semimajor axis and the period.
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What value of x makes the equation -4x-(-10-8x) = -(12x-14) true?
The value of variable x that makes -4x-(-10 - 8x) = -(12x-14) true is 1/4. thus, option c is correct.
What is variable?An equation's unknown numerical value is represented by a symbol (typically a letter) called a variable in algebra. X and Y, which are real-number unknowns, as well as z, which are complex-number unknowns, as well as t, r, and s are frequently used variables (arc length).
What value of x in -4x-(-10 - 8x) = -(12x-14)?Given
-4x-(-10 - 8x) = -(12x-14)
-4x + 10 + 8x = -12x + 14
4x + 10 = 14 - 12x
4x + 12x = 14 - 10
16x = 4
x = 4/16
x = 1/4
Thus, Option C is correct, x = 1/4
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What is 24/240 as a decimal
Answer:
0.1
Step-by-step explanation:
Just take 24/24 which is 1 and move the decimal one place to the left because there is an extra 0 on the denominator