Answer:
-3
Step-by-step explanation:
Given the function f(x) = -(-x)
we want to evaluate f(-3)
What we do simply here is substitute the value of -3 for x in the equation
That would be ;
f(-3) = -(-(-3)) = -(3) = -3
Which statement is true about the equations –3x + 4y = 12 and 1/4x-1/3y=1
Answer: No solution
Step-by-step explanation:
This system of equation has no solution because...
-3x+4y=12
1/4x-1/3y=1
[tex]-3x+4y-4y=12-4y[/tex]
[tex]-3x=12-4y[/tex]
[tex]\frac{-3x}{-3}=\frac{12}{-3}-\frac{4y}{-3}[/tex]
[tex]\frac{12}{-3}-\frac{4y}{-3}[/tex]
[tex]x=-\frac{12-4y}{3}[/tex]
substitute
[tex]\frac{1}{4}\left(-\frac{12-4y}{3}\right)-\frac{1}{3}y=1[/tex]
[tex]-1=1[/tex]
-1=1 is false so therefore this system has no solution
which term of the AP:3,15,27, 39,.....will be 132 more than its 54th term
Answer:
n=65th term
Step-by-step explanation:
AP:3,15,27,39......
From the AP
a=3
a+d=15
a+2d=27
3+d=15 (1)
3+2d=27 (2)
Subtract (1) from (2)
We have,
2d-d=27-15
d=12
54th term=a+(n-1)d
=3+(54-1)12
=3+(53)12
=3+636
=639
The term is 132 more than the 54th term
132+54th term
=132+639
=771
Find the term
771=a+(n-1)d
771=3+(n-1)12
771-3=12n-12
768=12n-12
768+12=12n
780=12n
n=780/12
=65
n=12
The term which is 132 more than the 54th term is the 65th term
find the sum of the series 81-27+9......-1/27.
Answer:
[tex]S_8=\dfrac{1640}{27}=60\frac{20}{27}[/tex]
Step-by-step explanation:
The formula for the sum of a geometric series with first term a1, common ratio r, and n terms is ...
[tex]S_n=a_1\dfrac{1-r^n}{1-r}[/tex]
This series has 8 terms, a common ratio of -1/3, and a first term of 81. Its sum is ...
[tex]S_8=81\dfrac{1-(-\frac{1}{3})^8}{1-(-\frac{1}{3})}=81\dfrac{6560/6561}{4/3}=\dfrac{6560(3^4)(3)}{(4)(3^8)}\\\\\boxed{S_8=\dfrac{1640}{27}=60\frac{20}{27}}[/tex]
A force of 90 Newton's is applied to a 20cm2 surface. The force applied is then increased by 5 Newton's and the surface is increased by 5cm2 what percentage does the outcome decrease by
Answer:
15.56%
Step-by-step explanation:
The force applied, F, to the surface is 90N.
The area, A, of the surface is [tex]20 cm^2[/tex] = [tex]0.002m^2[/tex]
The pressure on the surface is:
P = F / A = 90 / 0.002 = 45000 Nm^2
The force is increased by 5N, the new force is 95N.
The surface area is increased by 5 cm^2 = 0.0005 m^2. The new surface area is 0.0025 m^2.
The pressure is now:
P = 95 / 0.0025 = 38000 Nm^2
The percentage decreased is gotten by dividing the difference in the two values by the old value and then multiplying by 100.
=> Difference = 45000 - 38000 = 7000
% decrease is therefore:
= 7000 / 45000 * 100 = 15.56%
There was a 15.56% decrease.
The ratio of the applied force to the area to which the force is applied,
gives the amount of pressure applied.
The outcome decreases by [tex]\underline{15.\overline 5 \%}[/tex]
Reasons:
[tex]\mathrm{Pressure, P} = \dfrac{Force, \, F}{Area, \, A}[/tex]
The initial force, F₁ = 5 N
The initial area, A₁ = 20 cm²
[tex]\mathrm{ } P_1=\dfrac{F_1}{A_1 }[/tex]
[tex]\mathrm{The \ initial \ pressure \ on \ the \ surface \ is \ } P_1=\dfrac{90 \ N}{0.002 \ m^2} = 45,000 \ Pa[/tex]
The new force, F₂ = F₁ + 5 N = 90 N + 5 N = 95 N
The new area, A₂ = A₁ + 5 cm² = 20 cm² + 5 cm² = 25 cm²
The new pressure after the increase is given by the equation;
[tex]\mathrm{ } P_2=\dfrac{F_2}{A_2 }[/tex]
[tex]\mathrm{The \ surface \ pressure \ after \ the \ increase\ is \ } P_2=\dfrac{95 \ N}{0.0025 \ m^2} = \mathbf{38,000 \ Pa}[/tex]
[tex]Percentage \ change = \dfrac{New \ value - Initial \ value}{Initial \ value} \times 100[/tex]
[tex]Percentage \ change = \dfrac{38,000 - 45,000}{45,000} \times 100 = 15.\overline 5 \%[/tex]
The outcome decreases by 15.[tex]\overline 5 \%[/tex]
Learn more:
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Which equation represents a graph with a vertex at (-1,6)?
Answer:
B. [tex]y = 3x^2 -6x -3[/tex]
Step-by-step explanation:
Well, we can use the following formula to find the x coordianate of the vertex -b / 2a.
So let’s start with a)
-6 / 6
-1
A. is wrong because its vertex starts with -1.
b)
6 / 6
1
now that we have our x coordinate we can plug it into the equation to get our y.
3 - 6 - 3
So the y coordinate is -6.
Hence, the answer choice B. [tex]y = 3x^2 -6x -3[/tex]
look at the image below.
Simplify √5x/x √ 20 answer choices
a.1/2
b.√x/2x
c.√x/2
Answer:
a
Step-by-step explanation:
A man has a 10m X 10m square garden. In the center is a 2m X 2m square patch which he cannot use. He divides his usable space into four congruent rectangular patches, each of which measures
Answer:
4m X 6m
Step-by-step explanation:
This is because if there is a 2m square in the middle, there is 8 m of usable space left along both sides of the garden.
Because the 2m square was in the middle, there is 8/2 = 4m along each width of the 4 small rectangles.
Becuase 4m is the width, there is 10 - 4 = 6m along each rectangle's length.
The 4m is the width, there is 10 - 4 = 6m along each rectangle's length. the area he will use is 4m x 6m.
What is reflexive property of congruence?The reflexive property of congruence says that the considered geometric quantity, whether it be angle, line segment, or shape etc, is congruent to itself.
Given information; A man has a 10m X 10m square garden. In the center is a 2m X 2m square patch we need to find which he cannot use.
He divides his usable space into four congruent rectangular patches.
If there is a 2m square in the middle, there is 8 m of usable space left along both sides of the garden.
The 2m square was in the middle, there is 8/2 = 4m along each width of the 4 small rectangles.
The 4m is the width, there is 10 - 4 = 6m along each rectangle's length.
Learn more about congruent triangles here:
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In an orchard the ratio of apple trees to pear trees is 2 : 5, and the ratio of pear trees to peach trees is 3 : 4. Work out the ratio of apple trees to pear trees to peach trees.
Answer:
5/8
Step-by-step explanation:
apple trees to pear trees=5/2 to peach trees=(5/2)/4=5/8
Which of the following investments could be represented by the function A = 250(1 + 0.08/12)12 × 4?
hello,
the first term is 250 so this is the initial invested amount
[tex](1+\dfrac{0.08}{12})^{12}=(1+\dfrac{8\%}{12})^{12}[/tex]
is to compute 8% annual interest compounded monthly (there are 12 months in a year)
and then multiply by 4 means that it is computed for 4 years so
finally the answer is
$250 is invested at 8% annual interest compounded monthly for 4 years
hope this helps
PLZ HELP!!!!WILL MARK BRAINLIEST AND 20 POINTS!!!
Answer: Find a common denominator on the right side of the equation
Step-by-step explanation:
You can see that they found the common denominator of 4 therefore that is the correct answer
The police department uses a formula to determine the speed at which a car was going when the driver applied the breaks, by measuring the distance of the skid marks.The equation d=0.03r^2+r models the distance, d, in feet, r miles per hour (r is the speed of the car) Factor the equation. d=?
Answer:
0.03 feet
Step-by-step explanation:
d = 0.03r² + r
When d = 0: 0.03r² + r = 0
r(0.03r + 1) = 0
∴ r = 0
When r = 0: d = 0.03 feet
Write 23 /2 as a mixed number. Give your answer in its simplest form.
Answer:
11 1/2
Step-by-step explanation:
Convert improper fraction to mixed number
23 over 2
= 11 and 1/2
23 ÷ 2 = 11 remainder 1
Answer:
11whole,1 and a half
Step-by-step explanation:
divide 23 by 2
A machine can wrap 360 packages of muffins in 12 minutes. At this rate, how
many packages will be wrapped in 1 hour?*
Answer:
1800 (packages )muffins
Step-by-step explanation:
360 muffins x muffins
-------- = --------
12 min 60 min
Answer:
1800 maybe
Step-by-step explanation:
in 12 minutes can wrap 360
in 1 hr have 60 minutes
60/12=5
than 360*5 = 1800
Solve the inequality
Answer:
x < 4
Step-by-step explanation:
3x - 3 < 9
3x < 12
x < 4
Answer: x < 4
Step-by-step explanation:
3x < 9 + 3
you’re going to add the two (9+3= 12) numbers.
3x < 12
Then divide both sides of the inequality by 3.
3x < 12 = x < 4.
A grasshopper makes jumps that are either 17 or 19 cm in length, in either direction (forwards or backwards). Is it possible for the grasshopper to cover a distance of 101 cm in 100 jumps?
Answer: No. The grasshopper cannot cover exactly 101 cm in exactly 100 jumps.
Step-by-step explanation:
If the grasshopper makes 50 forward jumps of 19 cm and 50 backward jumps of 17 cm (in any order) the jumps total 950-850 for a net result of 100.
Changing to any other amount just gets farther away from the goal.
A system of equations yields no solution of integers.
x + y ==100
19x - 17y =101
You can try it, but the result has a decimal. This grasshopper cannot make partial jumps!
I'll always give away 5 stars, thanks and Brainliest to the answer that's correct!
Naruto has a baseball card that is worth $45. The value of the card is increasing at the rate of 1.5% per year. How much will the card be worth in 15 years?
A: $366.17
B: $56.26
C: $89.21
D: $263.97
Answer:
a I believe sorry if I'm wrong
Answer:
I think its B: $56.26
Find the difference.
(3x4 - 5x2 - 4)-( 2x3 x2 + 1)
w
3x4 - 2x3 - 4x2-5
a
Answer:
(3x4 - 5x2 - 4)-( 2x3 x2 + 1) is equals to -15
3x4 - 2x3 - 4x2-5 is equals to -7
Step-by-step explanation:
1.) (3x4 - 5x2 - 4)-( 2x3 x2 + 1)
3 x 4 = 12 5 x 2 = 10 12 - 10 = 2 2 - 4 = -2
2 x 3 = 6 6 x 2 = 12 12 + 1 = 13
-2 - 13 = -15
2.)3x4 - 2x3 - 4x2-5 is eaquals to -7
3 x 4 = 12 2 x 3 = 6 12 - 6 = 6 4 x 2 = 8
6 - 8 = -2 -2 - -5 = -7
Those were my answers
In a group of 45 students, 5 study both Art and Biology. 8 study Biology but not Art. 9 study neither subject. Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?
Answer:
[tex]\frac{1}{9}[/tex]
Step-by-step explanation:
Data provided in the question
There is a total group of 45 students
Art + biology = 5
8 study biology but not Art
Neither subject studied = 9
Based on the above information, the probability of student that studies
art and biology is
Since there is a group of 45 students out of which 5 study both art and biology
So, the ratio is
4: 5
Now divide both sides by 5
So, now the ratio is
9:1
Therefore it means the probability is [tex]\frac{1}{9}[/tex]
Can you solve (x-5)^2=3
Answer:
x = 6.73 (corrected to 3 significant figures.)
Step-by-step explanation:
(x-5)^2=3
Square root both sides of the equation.
[tex]\sqrt{(x-5)^2} =\sqrt{3}[/tex]
[tex](x-5) = \sqrt{3}[/tex]
Add 5 to both sides.
[tex]x = \sqrt{3} + 5[/tex]
x = 6.73 (corrected to 3 significant figures.)
Answer:
x=-22 or -13
Step-by-step explanation:
(x-5)^2=3
Or,x^2-10x+25=3
Or,x^2-10x=3-25
Or,x (x-10)=-22
Either
x=-22
Or,
x-10=-22
x=-22+10
x=-12
x=-22,-12
Pleas answer in two minutes now
Answer:
I believe the answer is C.
There are 90 students in 5th Grade. 10% of them were absent today. How many students were present .
Answer:
81 students.
Step-by-step explanation:
If 10% of the 90 students were absent, then that means that 9 students were absent. To find the number of students present, simply subtract.
90 - 9 = 81.
- Hope this helped.
A 7-column table with 2 rows. Column 1 is labeled Sample with entries catfish, all fish. Column 2 is labeled 1 with entries 3, 20. Column 3 is labeled 2 with entries 5, 20. Column 4 is labeled 3 with entries 7, 20. Column 5 is labeled 4 with entries 5, 20. Column 6 is labeled 5 with entries 6, 20. Column 7 is labeled 6 with entries 8, 20. The mean number of catfish in all 6 samples is approximately 5.7. If 200 fish are in the pond, which proportion can be used to predict the number of catfish in the population? StartFraction 5.7 over 20 EndFraction = StartFraction x over 200 EndFraction StartFraction 5.7 over 20 EndFraction = StartFraction 200 over x EndFraction StartFraction 34 over 20 EndFraction = StartFraction x over 200 EndFraction StartFraction 8 over 20 EndFraction = StartFraction 20 over x EndFraction
Answer: The correct option is 5.7/20 = x/200
Step-by-step explanation: Please refer to the diagram attached for more details.
From the 7-column by 2-row table drawn, you can determine that the mean number of catfish as given in the question is derived as follows;
Mean = Summation of observed data / Number of observations
Mean = (3 + 5 + 7 + 5 + 6 + 8)/6
Mean = 34/6
Mean = 5.6667
Mean ≈ 5.7
Also the mean number of all fish is derived as follows;
Mean = Summation of observed data / Number of observations
Mean = (20 + 20 + 20 + 20 + 20 + 20)/6
Mean = 120/6
Mean = 20
Using relative frequency, we can confidently predict the number of catfish population in the pond. This simply means, if the mean number of catfish is 5.7 and the mean number of all fish is 20, then the relative frequency would be 5.7 over 20 of the total fish population.
Hence, if there is a total of 200 fish in the pond then to predict the proportion which would be catfish can be expressed as follows;
StartFraction 5.7 over 20 EndFraction = StartFraction x over 200 EndFraction.
OR better expressed as;
5.7/20 = x/200
Answer:
5.7/20 = x/200
Step-by-step explanation:
what number decreased by 6 equals 3 times the number
Answer:
-3
Step-by-step explanation:
x-6=3x
2x=-6
x=-3
The required number is -3 decreased by 6 equals 3 times.
A number to be determine when decreased by 6 equals 3 times the number.
What is arithmetic?it explores the numbers of operations according to the statements.
Let the number be x,
Now,
x-6=3x
x= -3
Thus, the required number is -3 decreased by 6 equals 3 times.
Learn more about arithmetic here:
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slove all of it please 100 points
Answer:
Step-by-step explanation:
5x+y-7=0 isolate y
y=-5x+7 (m=-5,b=7)
9x+7y-14=0
7y=14-9x ( divide both sides by 7)
y=-9x/7 +14/7
y=-9/7 + 2 (m=-9/7, b=2)
x+y=1000
4x+3y=3600 ( multiply the first equation by 3 to eliminate y)
3x+3y=3000
4x+3y=3600 ( subtract the two equations)
3x+3y-(4x+3y)=3000-3600
3x+3y-4x-3y=-600
-x=-600
x=600 ( substitute x in the equation)
x+y=1000
600+y=1000
y=1000-600=400
check : x+y=1000 , (600+400)=1000
check : 4x+3y=3600 = (4(600)+3(400))=2400+1200=3600
how many tickets are sold :
adults x=600/4=150
kids (y)=400/3=133 tickets+1 dollars left
unless( x represent kids then x=200, y represent adult = 100)
Answer:
[tex]\boxed{\mathrm{view \: explanation}}[/tex]
Step-by-step explanation:
Question 1:
[tex]5x+y-7=0[/tex]
Write in slope intercept form.
[tex]y=-5x+7 \\m=-5,b=7\\9x+7y-14=0[/tex]
Write in slope intercept form.
[tex]7y=14-9x\\y=-9x/7 +14/7\\y=-9/7 + 2\\m=-9/7, b=2[/tex]
Question 2:
[tex]x+y=1000\\4x+3y=3600[/tex]
[tex]3x+3y=3000\\4x+3y=3600\\3x+3y-(4x+3y) = 3000-3600\\3x+3y-4x-3y=-600\\-x=-600\\x=600[/tex]
[tex]x+y=1000\\600+y=1000\\y=1000-600=400[/tex]
Tickets sold:
Adults:
[tex]x=600[/tex]
Kids:
[tex]y=400[/tex]
A square has side length x and a circle has radius (x - 1). At what value of x will the two figures have the same area?
Answer:
x=(π+√π)/1-π
or x=(π-√π)/1-π
Step-by-step explanation:
since it is a square all sides are equal
Area of square=x*x=x^2
Area of a circle=πr^2
A=π(x-1)^2
two areas are equal
x^2=π(x^2-2x_1)
x^2=πx^2-2πx-π
x^2-πx^2-2πx-π=0
x^2(1-π)-2πx-π=0
using quadratic formula with a=1-π , b=-2π and c=-π
equation of the form ax^2+bx+c=0 by using the quadratic formula:
x=(−b±√b2−4ac)/2a
x=(π+√π)/1-π
or x=(π-√π)/1-π
In a local ice sculpture contest, one group sculpted a block into a rectangular-based pyramid. The dimensions
of the base were 3 m by 5 m, and the pyramid was 3.6 m high. Calculate the amount of ice needed for this
sculpture
Answer:
Step-by-step explanation:
To calculate the amount of ice needed for this sculpture, we would apply the formula for determining the volume of a rectangular base pyramid which is expressed as
Volume = 1/3 × base area × height
Since the base is rectangular, base area = length × width = 3 × 5 = 15 m
Given that height = 3.6m, therefore, the amount of ice needed for this sculpture is
1/3 × 15 × 3.6 = 18 m³
Answer: To calculate the amount of ice needed for this sculpture, we would apply the formula for determining the volume of a rectangular base pyramid which is expressed as Volume = 1/3 × base area × heightSince the base is rectangular, base area = length × width = 3 × 5 = 15 mGiven that height = 3.6m, therefore, the amount of ice needed for this sculpture is 1/3 × 15 × 3.6 = 18 m³
Step-by-step explanation:
HELP ASAP PLEASE What is the measure of yz (the minor arc) in the diagram below? A.168 B.42 C.192 D.84
Answer:
B
Step-by-step explanation:
The measure of the tangent- chord angle XYZ is half the measure of its intercepted arc, thus
arc YZ = 2 × 84° = 168° → B
1.Find the other endpoint of the line segment with the given endpoint and midpoint.
Endpoint 1: (−9,8) Midpoint: (2,−1)
2.Find the other endpoint of the line segment with the given endpoint and midpoint.
Endpoint 1: (0,2) Midpoint: (4,5)
Answer:
1. Coordinates of the other endpoint are (13, -10)
2. Coordinates of the other endpoint are: (8, 8)
Step-by-step explanation:
1. The endpoint (-9, 8) is located in the second quadrant. The midpoint (2, -1) is located in the fourth quadrant. That is to the right and down from the endpoint. Notice that the difference in the horizontal axis between the x-coordinates of the endpoint (-9, 8) and the midpoint (2, -1) is: | 2 - (-9) | = 11
And the difference in the vertical axis is: | -1 - 8 | = 9
So the midpoint is located 11 units to the right,and 9 units down from the endpoint. Then the other endpoint should be located also 11 units to the right, and 9 units down but from the midpoint. That is at: (2 + 11, -1 - 9) = (13, -10)
2. In this case, both, endpoint and midpoint are in the first quadrant, but notice that the midpoint is further away from the origin of coordinates.
The differences now are:
horizontal: 4 - 0 = 4
vertical: 5 - 2 = 3
and in both cases units are added to the endpoint coordinates to get to the midpoint coordinate values.
So to find the other endpoint we add 4 units to the x-value of the midpoint, and add 3 units to its y-value:
Other endpoint at : ( 4 + 4, 5 + 3) = (8, 8)
Help me out please if anybody can
Answer:
The correct choices are;
g(0) = 0
g(1) = 1
and ;
g(-1) = 1
Step-by-step explanation:
In this question, we are to select the correct options.
So let’s take a look at the options
The term g(0) is correct
We can see that the base of the graph is sitting on the origin. At the point where x = 0, then g(x) is also = 0
g(1) is not equal to -1.
g(1) is equal to 1, mark the point 1 on the positive x-axis and trace towards the graph.
g(4) = -2 is another wrong option
The graph has no values on the negative y-axis i.e its smallest value is 0
g(1) = 1 is correct
We can trace this out from the graph
g(-1) = 1 is also correct. This is also traceable from the graph also
PLEASE HELP ASAP THANKSSSS
Answer:
The correct answer is C
Step-by-step explanation:
As you can see Town A is on top of Town B this means that Town B has symetric points to town A. This also shows how Town A is Positively skewed.