Two less than two thirds times a number is ten
Answers
2/3*x - 2 = 10
or, 2/3 * x =12
or x= 12*3/2
or, x = 18
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The gradient of the graph shown and given in its simplest form
Find the solution set. 9x^2+3x-2=0 separate the two values with with a comma.
$2.50 per square foot. how much is that per square yard?
y = (1/2)^x
y = -2^x
Answers
The equations is notexponential is y = .
What is Exponential function?
Calculating the exponential growth or decay of a given collection of data is done using an exponential function, which is a mathematical function. Exponential functions, for instance, can be used to estimate population changes, loan interest rates, bacterial growth, radioactive decay, and disease spread.
The standardform of exponential form is
f(x) =
1. y =
Thus is not Exponential function because any power of 1 result to only 1.
2. y =
This is Exponential Function as it has initial value 0.5.
3. y =
This is Exponential Function as it has initial value -2.
Learn more about Exponential function here:
#SPJ3
Answers
Answer:
$4.69
Step-by-step explanation:
$1.62/lb×2.5=$4.05
$0.48/lb×11/3=$0.64
$4.05+$0.64=$4.69
Answers
Answer:
The symbolic way to represent the probability of a true positive is:
P(I∩D)
Step-by-step explanation:
The representation is given as follows:
I for infected; U, uninfected; D, infection detected; and N, no infection detected.
We are asked to find which expression represents the probability of a true positive.
i.e we are asked to find the probability that a person who is infected is also detected.
Let P denote the probability of an event.
Hence, the expression is:
P(I∩D)
Answers
0.016 t = 1.0986
t = 1.0986 : 0.016
t = 68.66 ≈ 69
The population will triple in 69years if it is growing at 1.6 % compounded continuously.
Answers
Geometry Questions? (20 PTS)
Answers
A triangle is:
either scalene, isoceles, or equilateral, and
either acute, right, or obtuse.
Question 1: The triangle is right b/c it has a right angle.
The triangle is isoceles because it has two congruent sides.
Right isoceles triangle
Question 2: The triangle is obtuse b/c it has an obtuse angle. (>90°)
The triangle is isoceles b/c it has two congruent sides.
Obtuse isoceles triangle
Question 3: All angles in a triangle add up to 180°. Let's find the 3rd angle.
180 - (80 + 60) = 180 - 140 = 40°
Congruent angles
If the angles are all different, the sides are all different and the triangle is scalene. It is also acute because all angles are <90°.
Acute scalene triangle
Question 4
An exterior angle of a triangle = the sum of its remote interior angles.
what does this mean? In this case, it means that
4x + 10 = 50 + x + 5
The reason this works: <ACD is supplementary to <ACB, so they must both add up to 180. Likewise, the angles of the triangle <ACB, <BAC, and <ABC all add up to 180. Since both = 180, we can set them equal (substitution prop)
m<ACD + m<ACB = m<ACB + m<BAC + m<ABC
subtract m<ACB from each side
m<ACD = m<BAC + m<ABC
now let's solve our equation.
4x + 10 = 50 + x + 5
4x + 10 = 55 + x
subtract x from each side
3x + 10 = 55
subtract 10 from each side
3x = 45
divide by 3
x = 15
the measure of the interior angle = (x+5)° = (15+5)° = 20°
the measure of the exterior angle = (4x+10)° = (4(15)+10)° = (60+10)° = 70°
Question 5
As we can see from the diagram...
AB = CD, AD = BC
<ABD = <BDC, <ADB = <CBD
Also obvious from the reflexive prop...
BD = BD
And because the three angles add up to 180° and we know that two of them are the same, the third must be the same as well.
<A = <C
(three points don't need specified because only one angle is possible with this vertex)
Question 6
Because the angles in a triangle add up to 180°...
m<A + m<ADB + m<ABD = 180°
We know that m<A = 60°...
60 + m<ADB + m<ABD = 180°
We know that m<DBC = 70°, and from the diagram, <ADB is cong. to <DBC.
Therefore m<ADB = 70°.
60 + 70 m<ABD = 180°
130 + m<ABD = 180°
m<ABD = 50°
Answer:
lo que el o ella dijo
Step-by-step explanation: