Answer:
1:(1/6) where n = 1/6
If lies in the quadrant IV what can be the value of cos
When Ф lies in quadrant IV the value of cos Ф lies in [0, 1].
What is quadrant?One fourth of the part of a circle is said to be the quadrant of the circle.
Given the angle Ф lies in quadrant IV.
As we know, cos Ф is positive only in first and fourth quadrant i.e when Ф lies in 0<Ф<90 and 270<Ф<360.
cosФ range from [-1,1]
So, cos Ф is positive when Ф lies in 1st and 4th quadrant.
& cos Ф is negative when Ф lies in 2nd and 3rd quadrant.
If cos ∅ lies in the quadrant IV, anything between [0, 1] can be the value of cos ∅.
Hence, when Ф lies in quadrant IV the value of cos Ф lies in [0, 1].
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This is math proportion :
I change $60 into 45 euros
How many euros would i get for 50$?
Answer:
33.75 Euros
Step-by-step explanation:
Trust me bro, I did the working.
Match each expression with its value -5,-3,3 or undefined
G(0)
G(0.0001)
G(2.999)
G(3)
By using the given graph, we will see that:
G(0) = -5G(0.0001) = -3G(2.999) = -3G(3) = -3How to evaluate function G?Here we have a graph of function G(x), and we want to evaluate it in different values of x.
To do that, we need to look at the interval where the lines are defined. An open dot means that the endpoint does not belong to the interval, while the closed dot means that the endpoint belongs.
First, G(0).
If you look at the graph, when x = 0 we have a closed dot on the bottom line. That is the line that we need to look to do this evaluation, there we can see that when x = 0, we have G(0) = -5.
Then we have x = 2.999.
Notice that x < 3.
And the second line (the one at y = -3) is on the interval (0, 3].
Then x = 2.999 is included on that interval, it means that:
G(2.999) = -3.
Now we have x = 0.0001
Again, notice that the second line is on the interval (0, 3]
Because 3 > 0.0001 > 0, then:
0.0001 ∈ (0, 3]
From that, we conclude that:
G(0.0001) = -3
Finally:
G(3).
Again, 3 belongs to the interval (0, 3]
Then we use the second line again.
G(3) = -3
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Answer:
G(0) = -5
G(0.0001) = -3
G(2.999) = -3
G(3) = -3
Step-by-step explanation:
Here is a list of numbers:7,12,16,20,27,40,56,64
Work out the difference between the two square numbers
Work out the difference between the two cube numbers
Answer:
48 and 37
Step-by-step explanation:
The 2 square numbers are 16 (4 squared) and 64 (8 squared)
So the difference between these 2 numbers: 64 - 16=48
The 2 cube numbers are 27 (3 cubed) and 64 (4 cubed)
64-27=37
answer:
48 and 37
step explanation:
The 2 square numbers are 16 (4 squared) and 64 (8 squared)
So the difference between these 2 numbers: 64 - 16=48
The 2 cube numbers are 27 (3 cubed) and 64 (4 cubed)
64-27=37
In parallelogram ABCD , BE=7x−2 and ED=x2−10 .
I'm assuming that the diagonals intersect at E. Since diagonals of a parallelogram bisect each other, BE=ED.
7x-2=x²-10x²-7x-8=0(x-8)(x+1)=0x = -1, 8As distance must be positive, we reject the negative case, so x=8.
Thus, BE=ED=54.
Help pls helpppppopppppp
Answer:
Since the angle of EFC = 33°, DAF = 33° because DAF and EFC have the same angle.
Consider parallel lines cut by a transversal.
Parallel lines q and s are cut by transversal r. On line q where it intersects line r, 4 angles are created. Labeled clockwise, from uppercase left: angle 1, angle 2, angle 4, angle 3. On line s where it intersects line r, 4 angles are created. Labeled clockwise, from uppercase left: angle 5, angle 6, angle 8, angle 7.
Explain which theorems, definitions, or combinations of both can be used to prove that alternate exterior angles are congruent.
When two parallel lines are cut by a transverse. the angles formed on the exterior of the parallel lines, on the opposite sides of the transverse are known as the Alternate Exterior Angle.
What are Alternate exterior angles?When two parallel lines are cut by a transverse. the angles formed on the exterior of the parallel lines, on the opposite sides of the transverse are known as the Alternate Exterior Angle.
Firstly, ∠1 and ∠7 are alternate exterior angles as shown in the image, now to prove if these two angles will be congruent we can use the below proof.
First Method:
∠1 + ∠2 = 180° {Supplementary angles because both lies on the line q}
∠2 = (180° - ∠1)
Similarly, ∠2 = ∠6 = (180° - ∠1), corresponding angles are equal,
∠6 + ∠7 = 180° {Supplementary angles because both lies on the line r}
∠7 = 180° - ∠6
∠7 = 180° - (180° - ∠1)
∠7 = 180° - 180° + ∠1
∠7 = ∠1
OR
Second Method:
∠1 = ∠3 {Vertical angles formed by intersecting lines q and r}
∠3 = ∠5 {Alternate Interior angles}
∠5 = ∠7 {Vertical angles formed by intersecting lines s and r}
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Use the long division method to find the result when 16x³ +24x² + 13x + 3 is
divided by 4x+3
Answer:
4x^2+3x+1
Step-by-step explanation:
4x^2+3x+1 is the answer I hope this helps
7 t-shirts and a hat costs £47.00
5 t-shirts and a hat costs £35.00.
How much does a t-shirt cost?
How much does a hat cost?
Answer:
Shirts are 6
Hats are 5
Step-by-step explanation:
This is a system of equations. Set up the equations first.
7s + h = 47
5s + h = 35
----------------------- Subtract the equations to eliminate the h variable
2s = 12 Divide by 2 to solve
s = 6 Each hat is 6
Plug the 6 in for s in either of the original equations
7(6) + h = 47
42 + h = 47 Subtract 42 from both sides
h = 5
A rectangular prism has a base that is 4 m by 6 m and a height of 10 m. If all dimensions are doubled, what happens to the volume? Explain why he steps that you take to arrive your answer.
If we double the dimension the volume will be increased by 8 times, and the volume will be 1920 cubic m.
What is the Volume of a rectangular prism?The Volume of rectangular prism = l×b×h
The volume of a prism,
V = L x B x H
V = 4 x 6 x 10
V = 240
When all the dimensions are doubled, the new volume will become
V1 =2L x 2B x 2H
V1 = 8(4 x 6 x 10)
V1 = 8(240)
V1 = 1920 cubic m
If we double the dimension the volume will be increased by 8 times, and the volume will be 1920 cubic m.
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Please help with this ASAP
This directly proportional relationship between p and q is written as p∝q where that middle sign is the sign of proportionality. The value of y can be found as shown below.
What is the directly proportional and inversely proportional relationship?Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
p = kq
where k is some constant number called the constant of proportionality.
This directly proportional relationship between p and q is written as
p∝ q where that middle sign is the sign of proportionality.
In a directly proportional relationship, increasing one variable will increase another.
Now let m and n be two variables.
Then m and n are said to be inversely proportional to each other if
[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]
(both are equal)
where c is a constant number called the constant of proportionality.
This inversely proportional relationship is denoted by
[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]
As visible, increasing one variable will decrease the other variable if both are inversely proportional.
1.) The relation can be written as,
y ∝ x
y = kx
27 = k × 3
k = 9
Value of y, when x=4 is,
y = 9 × 4 = 36
2.) The relation can be written as,
y ∝ x²
y = k x²
160 = k × 4²
160 = k × 16
k = 10
Value of y, when x=6 is,
y = 10 × 36 = 360
3.) The relation can be written as,
y ∝ (1/x)
y = k/x
16 = k × (1/2)
k = 32
Value of y, when x=17 is,
y = 32 × (1/17) = 1.8823
4.) The relation can be written as,
y ∝ (1/x²)
y = k(1/x²)
64 = k × (1/4²)
64 = k × (1/16)
k = 1024
Value of y, when x=7 is,
y = 1024 × (1/49) = 20.8979
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9.
(05.04 MC)
The following data show the prices of different types of hot dogs at a store:
$6, $8, $7, $6, $5, $7, $5, $7, $6, $28, $30
Which statement is correct about the box plot for the data? (1 point)
The box plot will have its right tail longer than the left tail because a few exceptionally high prices make the distribution skewed to the right.
The box plot will have its right tail longer than the left tail because a few exceptionally high prices make the distribution skewed to the left.
The box plot will have its left tail longer than the right tail because a few exceptionally high prices make the distribution skewed to the right.
The box plot will have its left tail longer than the right tail because a few exceptionally high prices make the distribution
The correct statement regarding the box plot of the data-set is given by:
The box plot will have its right tail longer than the left tail because a few exceptionally high prices make the distribution skewed to the right.
What does the box plot a data-set shows?It shows:
On the left-tail, the first quartile.At the center, the median.On the right-tail, the third quartile.In this problem, we have two unusually high values, $28 and $30, hence the right tail is longer than the left tail, hence the box plot is right-skewed, and the correct statement is:
The box plot will have its right tail longer than the left tail because a few exceptionally high prices make the distribution skewed to the right.
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Eschool
geometry v19, cindy mcdermott ( 4872/ s) -
question 14 multiple choice worth 1 points)
(04.03 mc)
a segment with endpoints a (3, 4) and c (5, 11) is partitioned by a point b such that ab and bc form a 2:3 ratio. find b.
o (3.8, 6.8)
o (3.9, 4.8)
o (4.2, 5.6)
o (4.3, 5.9)
question 15(multiple choice worth 1 points)
The location of point B that partitions A(3, 4) and C(5, 11) in the ratio 2:3 is (3.8, 6.8).
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
Let b = (x, y) represent the location of the point B, hence:
x = (2 / (2 + 3))(5 - 3) + 3 = 3.8
y = (2 / (2 + 3))(11 - 4) + 4 = 6.8
The location of point B that partitions A(3, 4) and C(5, 11) in the ratio 2:3 is (3.8, 6.8).
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Question 4(Multiple Choice Worth 4 points)
(06.06)
A rectangle with width of 5. There is a vertical line that splits rectangle into two sections with different lengths. One length is x the other is 3.
5(x + 3) represents the area of the rectangle above. Which expression below is equivalent by the Distributive Property?
By the distributive property, 5(x+3) is equal to 5x + 15.
Consider the equation below. n2 3h2 right arrow. 2nh3 what is the mole ratio of hydrogen to ammonia?
The mole ratio of hydrogen to ammonia will be 3:2.
What is the chemical equation?A depiction of a chemical reaction using elements' indicators to determine how much of each source and result is present-typically in moles.
The chemical equation is given below.
N₂ + 3H₂ = 2NH₃
Then the mole ratio of hydrogen to ammonia will be 3:2.
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Write an equation in slope intercept form with the given information.
Goes through points (-1,3) and (1,5)
Answer:
y= x +4
Step-by-step explanation:
The slope-intercept form of an equation is given by y= mx +c, where m is the slope and c is the y-intercept.
Start by finding the slope of the line.
[tex]\boxed{\text{slope}=\frac{y_1-y_2}{x_1-x_2} }[/tex]
Slope
[tex]=\frac{5-3}{1-(-1)}[/tex]
[tex]=\frac{2}{1+1}[/tex]
[tex]=\frac{2}{2}[/tex]
= 1
Substitute m= 1:
y= x+c
Finally, find c by substituting a pair of coordinates.
When x= 1, y= 5,
5= 1 +c
c= 5 -1
c= 4
Thus, the equation of the line is y= x +4.
Additional:
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The last equation h(x) = 2x+4/x+1.
What is a graph?The pictorial representation of quantities and how the increase or decrease in one affects the other.
Analysis:
The graph cuts the x-axis and y-axis at (-2, 0) and(0, -4) respectively.
gradient of the curve = y2 - y1/x2 - x1 = -4-0/0--2 = -4/2 = -2.
The equation with a gradient equal to -2 is, h(x) = 2x+4/x+1
differentiating the equation by quotient rule,
u = 2x+4, du/dx = 2, v = x+1 dv/dx = 1
dy/dx = [tex]\frac{(x+1)(2) - (2x+4)(1)}{(x+1)^{2} }[/tex] = [tex]\frac{-2}{(x+1)^{2} }[/tex]
When x = -2, dy/dx = -2
In conclusion, 2x+4/x+1 is the equation for the curve above.
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Solve using a proportion.
Mario spends 8 hours each week practicing soccer. How many hours will Mario spend on soccer practice after 21 weeks?
A. 168 hours
B. 186 hours
C. 160 hours
D. 29 hours
Line / has a slope of. The line through which of the following pair of points is
perpendicular to /?
A. (4, 6), (2, 2) B. (8,8), (2, 4)
C. (8,2), (2,4)
D. (6,2), (2, 4)
Let [tex]A(x_A,\ y_A),\ B(x_B,\ y_B)[/tex]. Then a slope of the line AB represent the formula:
[tex]m=\dfrac{y_B-y_A}{x_B-x_A}[/tex]
Substitute the coordinate od the points to the formula of a slope.
[tex]A.\\(4,\ 6),\ (2,\ 2)\\\\m=\dfrac{2-6}{2-4}=\dfrac{-4}{-2}\\\\\huge\boxed{m=2}[/tex]
[tex]B.\\(8,\ 8),\ (2,\ 4)\\\\m=\dfrac{4-8}{2-8}=\dfrac{-4}{-6}\\\\\huge\boxed{m=\dfrac{2}{3}}[/tex]
[tex]C.\\(8,\ 2),\ (2,\ 4)\\\\m=\dfrac{4-2}{2-8}=\dfrac{2}{-6}\\\\\huge\boxed{m=-\dfrac{1}{3}}[/tex]
[tex]D.\\(6,\ 2),\ (2,\ 4)\\\\m=\dfrac{4-2}{2-6}=\dfrac{2}{-4}\\\\\huge\boxed{m=-\dfrac{1}{2}}[/tex]
A foam cylinder, with a diameter of 3 inches in height of 8 inches, is carved into the shape of a cone. What is the maximum volume of a cone that can be carved? Round your answer to the nearest hundredths place. One point
Answer:
volume of cone = 1/3 volume of cylinder
according to the question, volume of cylinder =
V =
[tex]\pi \times (r) {}^{2} h[/tex]
diameter = 3 inches
radius = 3/2 inches
height = 8 inches
V = 22.7 * (3/2)²* 8
V = 22.7 * 9/4 * 8
V = 22.7 * 18
maximum volume a cone can have = 1/3 of cylinder
Volume of cone = 1/3 * 22.7 * 18
= 22.7 * 6
= 132.6
What is the equation of a line that is parallel to the given line and passes through the point (-2,2)
The equation of the line will be y = [tex]\dfrac{1}{5}x + \dfrac{12}{5}[/tex]
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
First, we need to find the equation of the line that is given:
We can use the formula,
[tex]m = \dfrac{y_1 - y_2}{x_1-x_2}[/tex]
[tex]m=\dfrac{-3-(-4)}{0-(-5)}=\dfrac{1}{5}[/tex]
So the equation for this line is
y = (1/5) x - 3
This means that the equation for the line we are trying to find has a slope of as well
Let's put the points in the equation and try to find the y-intercept:
2 = [tex]\dfrac{1}{5}[/tex] ( -2 ) + b
[tex]\dfrac{15}{5} = b[/tex]
So the final equation for the line we are trying to find is y = [tex]\dfrac{1}{5}x + \dfrac{12}{5}[/tex]
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If the events have the same theoretical probability of happening, then they are called:-
A- Mutually exclusive events
B- Mutually exhaustive events
C- Equally likely events
D- Impossible events
C- Equally likely events
Step-by-step explanation:
Equally Likely Events. Equally likely events are events that have the same theoretical probability (or likelihood) of occurring.
(｡♡‿♡｡)
Answer:
Equally Likely Events
Step-by-step explanation:
Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.
Answer:
3/2
Step-by-step explanation:
Find the measure of angle RPQ.
Answer:
20°
Step-by-step explanation:
Measure of QR is 180 - 108 = 72°
then using intercepted arc - external angle theorem:
angle RPQ then equals 1/2 ( 108 - 72) = 20 °
which statement is correct?
Answer:
The second and third equations are correct.
Step-by-step explanation:
Note that the equations are all the same, with the exception of the math operation (=,>,<,[tex]\leq[/tex], etc.). Let's do one calculation and then decide which of the statements is true.
The components may be simplified by separating the numbers from the exponents and doing the calculations separately:
(2.06x10^-2)(1.88x10^-1) becomes (2.06*1.88)*(10^-2 * 10^-1)
Left Side:
(2.06*1.88) = 3.91
(10^-2 * 10^-1) = 10^-3 [The exponents add when multiplying]
(2.06x10^-2)(1.88x10^-1) = 3.91x10^-3
Right side:
(7.69/2.3) = 3.343
(10^-2)/(10^-5) = 10^3 [The bottom exponent is subtracted from the top. ( -2 - (-5)) = 3 ]
(7.69x10^-2)/(2.3x10^-5) = 3.343x10^3
For all equations:
LEFT RIGHT
3.91x10^-3 3.343x10^3
We can now answer the question. Is the left side (3.91x10^-3 )
A. <
B. =>
C. >, or
D. =
to the right side (3.343x10^3)
We can drop the 10^-3 to make the comparison simpler, since it is the same on both sides. Think of it as dividing both sides by 10^3.
Correct?
A. 3.91 < 3.34 NO
B. 3.91 => 3.34 YES
C. 3.91 > 3.34, or YES
D. 3.91 = 3.34 NO
What is the inverse of function f?
f(x) = 64x3 - 1
Step-by-step explanation:
f(x) = y = 64x³ - 1
y + 1 = 64x³
(y + 1)/64 = x³
[tex]x = \sqrt[3]{(y + 1) \div 64} [/tex]
[tex]x = \sqrt[3]{y + 1} \div 4[/tex]
that is the actual inverse function to calculate the original x value for a given y value of the original function.
but to make it a "normal" function, we need to rename the variables (x to y, y to x) :
[tex]y = \sqrt[3]{x + 1} \div 4[/tex]
this is now f^-1(x)
but careful, don't get confused, if dealing together with the original function, this "x" is actually standing for the "y" of the original function ...
PLS HELP ASAP FIRST CORRECT ANSWER GETS BRAINLEIST
Explain how to determine if Carlos’s allowance is directly proportional to the number of chores he completes.
Answer:
if the ratio allowance/chores is constant, it is proportional
Step-by-step explanation:
The values x and y are directly proportional if they satisfy the equation ...
y = kx
for some constant k, the constant of proportionality.
__
If the relation that produces ordered pairs (chores, allowance) is directly proportional, all of the ratios (allowance)/(chores) will have the same value: the constant of proportionality (k).
If the ratios are not constant, Carlos's allowance is not directly proportional to the number of chores he completes.
Janelle is painting a spherical model of a human cell for a science fair. She uses 615.44 square inches of paint to
evenly cover the outside of the cell with one coat of paint. What is the diameter of the cell model? (Use 3.14 for the
value of n.)
7 in.
8 in.
14in
16in
The diameter of the cell model according to the taks content is; 14in.
Diameter of the cell modelVolume of paint = 615.44 square inches
π = 3.14
Volume of a sphere = 4πr²
615.44 = 4 × 3.14 × r²
615.44 = 12.56/r²
r² = 615.44 ÷ 12.56
r² = 49
r = 7
Hence, the diameter of the cell is; 2 × r = 2 × 7 = 14in.
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A state offers specialty license plates that contain 5 numbers followed by 2 letters. License plates are assigned randomly. All license plates are equally likely. Find the number of possible license plates that can be issued using this system.
The number of possible license plates that can be issued using this system is 67600000.
What is Combination?Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements.
Here, number plate contains 5 numbers and 2 letters
Total possible number (0-9) = 10
Total possible letters (A-Z) = 26
Possible number plates which contains 5 numbers and 2 letters are
¹⁰C₁ X ¹⁰C₁ X ¹⁰C₁ X ¹⁰C₁ X ¹⁰C₁ X ²⁶C₁ X ²⁶C₁
10 X 10 X 10 X 10 X 10 X 26 X 26
10⁵ X 26²
676 X 10⁵
67600000
Thus, the number of possible license plates that can be issued using this system is 67600000.
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