s(t)= t^2 + 4t+ 2 when t=6
Answer:
s(6)=62
Step-by-step explanation:
s(t)=t^2+4t+2
s(6)=6^2+4(6)+2
s(6)=36+4(6)+2
s(6)=36+24+2
s(6)=60+2
s(6)=62
Hope this helps.
If k(x) = 5x-6, which expression is equivalent to (k+ k)(4)?
O 5(4+4)-6
O 5(5(4)-6)-6
O 54-6+54-6
O 5(4)-6+5(4) - 6
If 20% of some value is 400 , then what is the missing value?
Answer:
80
Step-by-step explanation:
Because 400 times 20% is 80 so 80 would be the missing value.
Answer: 2000
Step-by-step explanation:
20% of x = 400
20% = 0.2
[tex]0.2x=400[/tex]
x=2000
How can you measure the way one variable changes in relation to another?
Solution:
The word correlation is used in everyday life to denote some form of association. We might say that we have noticed a correlation between foggy days and attacks of wheeziness. However, in statistical terms, we use correlation to denote the association between two quantitative variables. We also assume that the association is linear, that one variable increases or decreases a fixed amount for a unit increase or decrease in the other. The other technique that is often used in these circumstances is regression, which involves estimating the best straight line to summarise the association.
Correlation coefficient
The degree of association is measured by a correlation coefficient, denoted by r. It is sometimes called Pearson’s correlation coefficient after its originator and is a measure of linear association. If a curved line is needed to express the relationship, other and more complicated measures of the correlation must be used.
The correlation coefficient is measured on a scale that varies from + 1 through 0 to – 1. Complete correlation between two variables is expressed by either + 1 or -1. When one variable increases as the other increases the correlation is positive; when one decreases as the other increases it is negative. The complete absence of correlation is represented by 0.
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A figure is fully contained in Quadrant Il.
Looking at the coordinate plane below, which letter represents this quadrant?
From the division of quadrants in the xy-plane, it is found that letter K represents the second quadrant.
What are the signals of the coordinates in each quadrant?There are four quadrants of points (x,y), and their signals are given as follows:
Quadrant 1: x is positive(left of y-axis) and y is positive(above the x-axis).Quadrant 2: x is negative(right of y-axis) and y is positive(above the x-axis).Quadrant 3: x is negative(right of y-axis) and y is negative(below the x-axis).Quadrant 4: x is positive(left of y-axis) and y is negative(below the x-axis).In this problem, we want Quadrant 2, in which:
x is negative, that is, to the left of the y-axis.y is positive, that is, above the x-axis.Hence:
Letter K represents the second quadrant.
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FIND VALUE
A) tan 30° + cot 30° + sin 60°
Answer: [tex]\frac{4\sqrt{3} }{3} +\frac{1}{2}[/tex]
Step-by-step explanation:
You can either do this manually or use your calculator. Using your calculator, make sure that your calculator is in degree mode, then enter tan(30) + (1/tan(30)) + sin(60). [1/tan(30) is equal to cot(30) because tangent and cotangent are inverse functions].
Manually, use the unit circle. Tangent is sine over cosine. Sine of 30 degrees is 1/2. Cosine of 30 degrees is [tex]\sqrt{3} /2[/tex]. 1/2 divided by [tex]\sqrt{3}/2[/tex] is [tex]\sqrt{3}/3[/tex]. Cotangent is 1/tangent so take 1/[tex]\sqrt{3}/3[/tex] which is [tex]\sqrt{3}[/tex]. Then we already said that sine of 30 degrees is 1/2, so add them all together.
[tex]\sqrt{3}/3+\sqrt{3}+\frac{1}{2}[/tex] which is equal to [tex]\frac{4\sqrt{3} }{3} +\frac{1}{2}[/tex] or approximately 2.8094.
so yk those balls that come on screen in a cartoon like that desert ball thing? that's what brainly is giving rn. no one answering my questions anymore :")
The numbers ordered from the greatest to the least is
4
15/5
0.5
-1/5
-1.2
-49
Order of magnitudeFrom the given question, we are to order the given numbers from the greatest to least.
The given numbers are
-49
-1/5
0.5
4
-1.2
15/5
First, we will convert the fractions to decimal or whole number
-1/5 = -0.2
15/5 = 3
Now, we will order the numbers from the greatest to the least
4 > 3 > 0.5 > -0.2 > -1.2 > -49
That is,
4 > 15/5 > 0.5 > -1/5 > -1.2 > -49
Hence, the numbers ordered from the greatest to the least is
4
15/5
0.5
-1/5
-1.2
-49
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All work and answers are provided in the attached screenshot! :)
Have a great day! :)
Can someone help me please? Giving lots of points!
Answer:
14 units,
Step-by-step explanation:
Just count down the graph
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day :)
Answer:
the answer would be 14 units
Step-by-step explanation:
you can count down between the distance with the first point and the second point
i really do need help with this geometry questions please hlep
the coordinate of X is at 8 units of P and at 4 units to the left of Q
So the coordinate of X is: -5 + 8 = 3
How to find the coordinates of point x?
We know that point X is between points P and Q, in such a way that the ratio between the lengths of the segments PX and XQ is 2:1
First, we can length of the segment PQ is equal to the difference between their coordinates, so we get:
L = 7 - (-5) = 12
Then the length of segment PQ is 12 units, if we divide that in 3 we will get:
12/3 = 4 units.
So the segment PQ can be divided into 3 segments of 4 units each.
If the ratio PX to XQ is 2:1
Then the segment PQ must be divided into 3 parts, such that PX takes two of these parts and XQ is the remaining one.
Then the coordinate of X is at 8 units of P and at 4 units to the left of Q
So the coordinate of X is: -5 + 8 = 3
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Beinggreat78 and subtomex0 are amazing
ignore that I selected A it was an accident-
Answer:
B
Step-by-step explanation:
Because 3/20 is 15%, 20%, 25%, 33%
All my work and answer is provided in the attached screenshot!
Have a great day!
5.
Solve the equation 18 = (36.4-n) using your preferred method.
After solving the Linear equation, the value of the n becomes 18.4.
According to the statement
We have to find that the value of the n.
So, For this purpose, we know that the
The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.
From the given information:
The equation is 18 = (36.4-n)
Then we have to solve it
(36.4-n) = 18
36.4 -18 = n
After rearrange it then
n = 36.4 -18
Now subtract the equation, then
n = 18.4.
So, After solving the Linear equation, the value of the n becomes 18.4.
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Use function notation to write the equation of the line.
please help
Therefore the equation of the line in function-form is f(x)=-2x-1
An equation of a line on the cartesian plane is given by y=mx+c. Here m denotes the slope of the line and c denotes the y-intercept.
Slope of a line is defined as the inclination of the line along the positive x- axis . Slope is calculated by the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}.[/tex] where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are two points on the line.
y-intercept is defined as the point where the line passes through the y-axis.
From the graph we can see that the line passes through (0,-1)and (-1,1)
therefore slope of the line is
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\or, m=\frac{1-(-1)}{-1-0}\\or, m=-2[/tex]
Now we know that the equation of a line passing through a point [tex](x_1,y_1)[/tex] and with slope m is given by
[tex]y-y_1=m(x-x_1)\\[/tex]
Substituting the values in the equation we get
y-(-1)=-2(x-0)
or, y=-1-2x
Therefore the equation of the line in function-form is f(x)=-2x-1 .Hence the second option is correct.
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Pls solve 8=11-v pls and thank u
Answer:
Step-by-step explanation:
8 = 11 - v
8 - 11 = 11 - v - 11 Subtract 11 from both sides of the equation.
-3 = -v
3 = v Multiply both sides by -1
v = 3
Check:
8 = 11 - 3
8 = 8
Solve the system of equations.
2x+ 27 + 32 = 5
6x + 3y + 62 = 6
3x + 41 + 42 = 9
Answer:
x=-1
y=2
z=1
Step-by-step explanation:
After substitution we add common terms and make y and z the subject
y= 3-z
z= - 3+ 2y
We substitue the y
z = - 3+2(3-z)
z= 1
and now we subtitute the z to find y
y= 3-z
3-1 = 2
y=2
Now we substitue y and z to find x
x= - 2 - 3/2 + 5/2
x= - 1
What is the effect on the graph of f(x) = 1/x when it is transformed to
g(x) = 1/x -10?
x
A. The graph of f(x) is shifted 10 units to the left.
B. The graph of f(x) is shifted 10 units to the right.
C. The graph of f(x) is shifted 10 units up.
D. The graph of f(x) is shifted 10 units down.
The correct option is D. The graph of f(x) is shifted 10 units down.
What is defined as the graph?In mathematics, a graph is described as a pictorial depiction or diagram that organizes data or values.
The graph's points frequently represent the relationship among two or more things.
Pictograph refers to the visual representation of information. Each image represents a specific number of items.A bar graph is a graphic illustration of numerical data made up of rectangles (as well as bars) of varying width and height.A circle graph is another name for a pie chart. It demonstrates how well a whole is divided into various parts.For the given question;
The function is given as; f(x) = 1/x
Where x is the domain which is shown on x axis.
and f(x) is the range which is shown on y axis.
Thus, for the relation of g(x) = 1/x -10.
Whatever the value of the input for x, the output is shown on y axis.
Now, as the value expression is decreased by 10, thus the output value for y will reduced by 10.
Therefore, the graph of f(x) will shift downward by 10 units.
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Karen worked her 40 regular hours last week, plus 6 hours at the time-and-a-half rate. Her gross pay was $650. What was her hourly rate?
Find the perimeter of the entire rectangle shown at right (that is, the length of the outside boundary of the figure). Notice that the areas of two of the parts have been labeled inside the rectangle. Also find the total area. Remember to show all work leading to your solution.
The perimeter and area of the complete rectangle is 52 units and 168 square units.
As per the question statement, We are given a big rectangle in which the area of two small rectangle is given as 40 square units and 30 square units.
We are supposed to find the perimeter and area of the complete rectangle.
Let us first consider the small rectangle with area [tex]A_{1}[/tex] 40 sq units as [tex]R_{1}[/tex] with length [tex]L_{1}[/tex] = 5 units.
Let width of [tex]R_{1}[/tex] be [tex]W_{1}[/tex]
Therefore [tex]L_{1} W_{1} = A_{1}[/tex]
therefore, [tex]5*W_{1} = 40\\W_{1}=8 units[/tex]
Let us now consider the small rectangle with area [tex]A_{2}[/tex] 30 sq units as [tex]R_{2}[/tex]
with length [tex]L_{2}[/tex] = 6 units.
Let width of [tex]R_{2}[/tex] be [tex]W_{2}[/tex]
Therefore [tex]L_{2} W_{2} = A_{2}[/tex]
[tex]6*W_{2} =30\\W_{2}=5 units[/tex]
Now the length of breadth of the big rectangle be L and W respectively.
Therefore L = [tex]5+7=12 units[/tex]
and W = [tex]6+8=14 units[/tex]
Therefore perimeter of main rectangle = [tex]2(L+W)=2(14+12)=52 units[/tex]
And area of main rectangle = [tex]L*W=14*12=168 square units[/tex]
Perimeter: Sum of length of all sides of any 2D shape or figure.Area: The space occupied by the shape or figure in square units.To learn more, click on the link given below:
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Boris has a deck of 10 cards numbered 1 through 10. He is playing a game of chance.
This game is this: Boris chooses one card from the deck at random. He wins an amount of money equal to the value of the card if an odd numbered card is drawn. He loses $4.50 an even numbered card is drawn.
a) find the expected value of playing the game.
___ dollars
b) what can Boris expect in the long run, after playing the game many times? (He replaces the card in the deck each time)
a) Boris can expect to gain money. He can expect to win ___ dollars per draw
b) Boris can except to lose money. He can except to lose ___ dollars per draw.
c) Boris can except to break even( neither gain or lose money)
Boris can expect to break even ( neither gain or lose money) is the answer.
The probability of a number is calculated by dividing Favorable outcome by Total outcome.
The probability of a number between 1 to 10 = Favorable outcome/Total outcome
Favorable outcome =1 (any one number )
Total outcome = 10
Here p(x) is equal to 1 divided by 10
P(X)= 1/10= 0.1
The table gives us the Amount when we multiple X to P(X),
Expected value = (XiP(Xi))
When we substitute the value we get,
=(10.1)+(-50.1)+(30.1)+(-50.1)+(50.1)+(-50.1)+(70.1)+(-50.1)+(90.1)+(-50.1)
=0
So we will get zero after substituting the value.
Hence, option C Bories can Expect to break even (Neither gain or lose money) is the correct answer.
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A farmer fills a field with solar panels. The area of the field is 32,374.9 square meters. a. About how many solar panels of the size shown can fit in the field? Explain.
Answer:
Step-by-step explanation:
Two angles are supplementary is the measure of one angle is 65.3 degrees what is the measure of the
other angle? Answer to the first decimal place, ie 79.5
The measure of the other angle is 114.7.
Given that the angles are supplementary,
Let the other angle be 'x'.
x + 65.3 = 180 degree
x = 114.7
hence, The other angle is 114.7 degrees.
The term "supplementary angles" refers to a pair of angles that always add up to 180°. These two perspectives are known as supplements. The term "supplementary" is derived from the Latin words "supply" and "plere," where "supply" means "supply" and "plere" means "fill." As a result, "supplementary" means "something that is supplied to complete a thing."
If two angles add up to 180 degrees, they are said to be supplementary angles. When supplementary angles are combined, they form a straight angle (180 degrees). In other words, if Angle 1 + Angle 2 = 180°, angles 1 and 2 are supplementary. Angles 1 and 2 are referred to as "supplements" in this case.
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Order the numbers from greatest to least 44.912 , 44.102 , 44.120
Answer:
44.912, 44.120, 44.102,
Step-by-step explanation:
he cost in dollars of making x items is given by the function C(x) = 10x + 500.
a. The fixed cost is determined when zero items are produced. Find the fixed cost for this item.
b. What is the cost of making 25 items?
c. Suppose the maximum cost allowed is $1500. What are the domain and range of the cost function, C(x)?
We get the fixed cost as $ 150, cost of 25 items as $ 750, range as [0, 1500] and the domain as [0,150].
We are given the cost function:
C(x) = 10x + 500.
Fixed cost is when x = 0
C(0) = Fixed cost = 10 ( 0 ) + 500
Fixed cost = $ 500
Cost of making 25 products is x = 25
C(25) = 10 (25) + 500
C(25) = 250 + 500 = $ 750
Maximum cost allowed = $ 1500
Function becomes:
10x + 500 ≤ 1500
x + 50 ≤ 150
x ≤ 150 - 50
x ≤ 100
Range = [0, 1500]
Domain = [0, 150]
Therefore, we get the fixed cost as $ 150, cost of 25 items as $ 750, range as [0, 1500] and the domain as [0,150].
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Please help me it’s due today
Answer:
Step-by-step explanation:
1.
scale factor=12.5/10=1.25
x/16=1.25
x=1.25×16=20
2.
correct.
PLEASE HELP !!!!!! 50 POINTS !!!!!!!
Although 330° is a special angle on the unit circle, Amar wanted to determine its coordinates using the sum and difference formulas.
Part A: Determine cos 330° using the cosine sum identity. Be sure to include all necessary work. (5 points)
Part B: Determine sin 330° using the sine difference identity. Be sure to include all necessary work. (5 points)
F(x)= mx+b m>0 b<0 graph
The graph of the equation y = m x + b where m = 2 and b = - 3 has been obtained.
We are given the function:
y = m x + b
We are also given that:
m > 0 and b < 0
Now lets assume m = 2 and b = -3
So, we get the equation as:
y = 2 x - 3
Now, we have to graph the equation.
We get some values of x and y as:
x 0 1 2
y - 3 - 1 1
Therefore, the graph of the equation y = m x + b where m = 2 and b = - 3 has been obtained.
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find the area of the circle 8
Answer:
50.24 in²
Step-by-step explanation:
[tex]A = \frac{1}{4} \times (22/7) \times 8^2 = 0.25 \times 3.14 \times 64\\= 50.24[/tex]
➲ Hope this helps.
➲ Wish you the best of luck. :)
diameter of circle= 8 inch.
so, radius of circle= d/2 = 4 inch
now
area of circle=πr²
22/7 × (4)²
50.24 inc.
State the theorem and find the value of x
Answer:
the sum of the interior angles of a triangle is always 180°
x = 12
Step-by-step explanation:
the sum of the interior angles of a triangle is always 180°
2x + 11 + 70 + 75 = 180
2x = 180 - 11 - 70 - 75
2x = 24
x = 12
----------
check
75 + 70 + 11 + 2 * 12 = ( remember pemdas)
75 + 70 + 11 + 24 =
180°
the answer is good
Use the triangle below to find the measure of angle G.
Answer:
59.3° (nearest tenth)
Step-by-step explanation:
Cosine Rule (for finding angles)
[tex]\boxed{\sf \cos(C)=\dfrac{a^2+b^2-c^2}{2ab}}[/tex]
where:
C = anglea and b = sides adjacent the anglec = side opposite the angleFrom inspection of the given triangle:
C = angle Ga = side GI = 6b = side GH = 15c = side HI = 13Substitute the values into the formula and solve for G:
[tex]\implies \sf \cos(G)=\dfrac{6^2+15^2-13^2}{2(6)(15)}[/tex]
[tex]\implies \sf \cos(G)=\dfrac{36+225-169}{180}[/tex]
[tex]\implies \sf \cos(G)=\dfrac{92}{180}[/tex]
[tex]\implies \sf G=\cos^{-1} \left(\dfrac{92}{180}\right)[/tex]
[tex]\implies \sf G=59.26213133...^{\circ}[/tex]
Therefore, the measure of angle G is 59.3° (nearest tenth).
(Adding and Subtracting Linear Expressions MC) Write the following expression in simplest form. (4 + 15.6a) − (7 + 3.7a) 19.3a + (−3) 19.3a + (−11) 11.9a + (−3) 1.19a + (−11)
The expression (4 + 15.6a) − (7 + 3.7a) in simplest form is − 3 + 11.9a
How to write the expression in simplest form?The expression is given as
(4 + 15.6a) − (7 + 3.7a)
Remove the bracket
So, we have
(4 + 15.6a) − (7 + 3.7a) = 4 + 15.6a − 7 - 3.7a
Collect the like terms
So, we have
(4 + 15.6a) − (7 + 3.7a) = 4 − 7 + 15.6a - 3.7a
Evaluate the like terms
So, we have
(4 + 15.6a) − (7 + 3.7a) = − 3 + 11.9a
Hence, the expression (4 + 15.6a) − (7 + 3.7a) in simplest form is − 3 + 11.9a
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2 Reflect rectangle DEFG across the y-axis to form D'E'F'G'. Then dilate the image by a scale factor of 1/3 with the center of dilation at the origin to form D'E'F'G".
Given points Reflected points Dilated points
D ( 6, 3 ) ⇒ D' ( -6, 3 ) ⇒ D'' ( 2, -1 )
E ( 9, 3 ) ⇒ E' ( -9, 3 ) ⇒ E'' ( 3, -1 )
F ( 9, 12 ) ⇒ F' ( -9, 12 ) ⇒ F'' ( 3, -4 )
G ( 6, 12 ) ⇒ G' ( -6, 12 ) ⇒ G' ( 2, -4 )
Given data
The dimensions of the rectangle DEFG is
D ( 6, 3 )
E ( 9, 3 )
F ( 9, 12 )
G ( 6, 12 )
How to reflect rectangle DEFG across the y-axis to form D'E'F'GReflecting across y axis
Reflecting across y axis is done for example A ( x, y ) to AA
AA will be ( -x, y ).
Using this procedure we get points D'E'F'G' as follows
D ( 6, 3 ) ⇒ D' ( -6, 3 )
E ( 9, 3 ) ⇒ E' ( -9, 3 )
F ( 9, 12 ) ⇒ F' ( -9, 12 )
G ( 6, 12 ) ⇒ G' ( -6, 12 )
How to dilate the image by a factor of 1/3 with the center of dilation at the originTo dilate by factor n with the center of dilation at the origin. for example B ( x, y ) to BB
BB will be ( -nx, -ny )
using the procedure we get the points D''E''F''G" as follows
D ( 6, 3 ) ⇒ D' ( -6, 3 ) ⇒ D'' ( 2, -1 )
E ( 9, 3 ) ⇒ E' ( -9, 3 ) ⇒ E'' ( 3, -1 )
F ( 9, 12 ) ⇒ F' ( -9, 12 ) ⇒ F'' ( 3, -4 )
G ( 6, 12 ) ⇒ G' ( -6, 12 ) ⇒ G' ( 2, -4 )
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complete question
The complete question is attached