Answer:
C
Step-by-step explanation:
The correct answer is C
Because taking the point to be (a,b)
[tex]y - b = m(x - a) \\ \: is \: the \: \: equation \: \: of \: \: a \: line[/tex]
Triangles and angles
Pls help
Answer:
The two bottom angles of this triangle are both represented by the same variable, in this case, an x. This means, that both of the bottom angles are equal to each other.
So we have:
32 + x + x = 180 (since the TOTAL angles of a triangle adds up to 180)
32 + 2x = 180 (combine the 2 x's together)
2x = 148 (subtract a 32 from both sides)
x = 74
Let me know if this helps!
which choice is equivalent to the expression below? 7x√2 - 4√2 + x√2
A. 6x√2 - 3√2
B. 5x^2√2
C. 3x√2
D. 8x√2 - 4√2
Answer:
D
Step-by-step explanation:
[tex]8x \sqrt{2} - 4 \sqrt{2} [/tex]
A multiple-choice test has five questions, each with four choices for the answer. Only one of the choices is correct. You randomly guess the answer to each of the questions. Find the probability that you answer three of the questions correctly. Find the probability that you answer at most two of the questions correctly.
Ajay is researching how the population of his hometown has changed over time. Specifically, he learns his hometown had a population of 20{,}00020,00020, comma, 000 in 199019901990, and that the population has since increased by about 8\%8%8, percent every 333 years.
Ajay predicts that his town can only support a population of 50{,}00050,00050, comma, 000. Ajay is relieved to see that population has not exceeded 50{,}00050,00050, comma, 000 ttt years after 199019901990.
Write an inequality in terms of ttt that models the situation.
Answer:
Could you Write the question more clearly?
Step-by-step explanation:
150 students in hostel have food enough for 45 days. After 10 days , 25 students leave the hostel. How much larger will the food last?
Step-by-step explanation:
150=45
150 -25=x
:150=45
125=x
cross multiply
150x/150=5625/150
x=38 days
1 by 6 of a construction work is finished in the first year, 1 by 8 part in the second year and 1 by 12 in the third year how much work is finished in 3 year
Answer:
3/8
Step-by-step explanation:
first year's work is 1/6
second year's work is 1/8
third year's work is 1/12
combining all 3 gives us
1/6 + 1/8 + 1/12
which simplifies to 3/8
Answer ASAP please!
Answer:
e. is incorrect
sin (x)= f/e
find the vertex of this parabola y=-2x ^2-4x-5
Answer:
(1, -13)
Brainliest, please!
Step-by-step explanation:
To find the x coordinate of the vertex, we use the formula, -b / 2a. In this problem, a = 2, and b = -4. c is -5, but we don't need to know it.
- -4 / 2(2) = 4 / 4 = 1
Vertex = (1, y)
Next, we plug 1 back into the parabola equation for x to solve for y.
y = -2(1)^2 - 4(1) -5
y = -2^2 - 4 - 5
y = -4 - 4 - 5
y = -8 - 5
y = - 13
Vertex = (1, -13)
Solve the simultaneous equations
! ! 5x+3y=41
! ! 2x+3y=20
Answer:
1) x= 7 and y =2
Step-by-step explanation:
mark me as brainliest please
Answer:
x =7
y =2
eqn 1 - eqn2
5x-2x=3x
3y-3y=0
41-20=21
3x=21
x=7
in eqn 1;
5×7)+3y=41
35+3y=41
3y=6
y=2
ILL GIVE POINTS!!
Suppose a triangle has two sides of length 3 and 4 and that the angle
between these two sides is pi/3 What is the length of the third side of the
triangle?
A. sqrt13
B. 4sqrt3
C. sqrt3
D. 3
Answer:
no A
Step-by-step explanation:
sqrt13 is the ans
hope it helps
You go to the doctor and he injects you with 13 milligrams of radioactive dye. After 12 minutes, 4.75 milligrams of dye remain in you system. To leave the doctor's office, you must pass through a radiation detector without sounding the alarm. If the detector will sound will sound the alarm whenever more than 2 milligrams of the dye are in your system, how long will your visit to the doctor take, assuming you were given the dye as soon as you arrived and the amount of dye decayse exponentially?
Answer:
Step-by-step explanation:
You need to find the model for this situation using the points given. If you are given 13 mg immediately, the coordinate point for that is (0, 13), where the x coordinate is the time in minutes and the y coordinate is the amount of dye in mg.
If after 12 minutes, 4.75 mg remain, the coordinate point for that is (12, 4.75). Just so you know, the time unit always goes in for x, never for y.
Now that we have these coordinates we are going to use them as a system and find the model. Begin with the point (0, 13) in
[tex]A=a(b)^t[/tex] where A is the amount left in the body, a is the initial amount injected, b is the rate at which it decays, and t is the time in minutes. Plug in the first set of coordinates:
[tex]13=a(b)^0[/tex] and since anything raised to the power of 0 is equal to 1, we have
13 = a. Now we can use that and write another equation with the other set of coordinates to solve for b:
[tex]4.75=13(b)^{12}[/tex] and divide both sides by 13 (don't round anything yet) to get
.3653846154 = b¹². Now take the 12th root of both sides (you need a scientific calculator for this) to get that
b = .9195228407 Yikes.
Now for the model, using the fact that a = 13 and b = .9195228407:
[tex]A=13(.9195228407)^t[/tex]
We are told that the amount that we are allowed to leave with still remaining in our system cannot be more than 2 mg, so we sub in a 2 for A:
[tex]2=13(.9195228407)^t[/tex] and begin by dividing away 13 to get
[tex].1538461538=.9195228407^t[/tex] Take the natural log of both sides, which allows us to bring the t out front:
ln(.1538461538) = t ln(.9195228407) and finally divide by ln(.9195228407) to get
t = 22.3 minutes
pls help. what is a reasonable range for this function? explain your answer. thank you:))
from 0 to 20
neither the seconds nor the height are likely to be negative.
The volume of a Rubik’s cube is 512/216 cubic inches. Find the length of a side of the cube.
Answer:
4/3 inches, or 1.33333 inches
Step-by-step explanation:
In terms of the volume of a cube, its side length is the cube root of it. Therefore, for a cube with a volume of 512/216 cubic inches, its side length is equal to ∛(512/216) = ∛(512)/∛(216) = 8/6 = 4/3 inches*
* we know that 8/6 = 4/3 because we can multiply both the numerator and denominator by 1/2 to get this result. If we multiply/divide the numerator or denominator by the same values, the fraction is still the same
ASAP !
Determine the value of x.
Question 1 options:
A: x = 2
B: x = 2.5
C: x = 1
D: x = 2.9
Answer:
x=2
Step-by-step explanation:
We can use the Pythagorean theorem since this makes a right triangle
a^2+b^2 = c^2
The radius is 1.5
1.5^2 + x^2 = (1+1.5)^2
1.5^2 +x^2 = 2.5^2
2.25+x^2=6.25
Subtract 2.25 from each side
x^2 = 4
Taking the square root of each side
x= 2
Answer:A
Step-by-step explanation:Took quiz
(a) Tom says that 1/5 + 7/20 = 8/25
Explain why he is wrong and show how to work out the correct answer.
(b) Show that 3/4 divided by 1 7/8 = 2/5
9. (a) Jadar is buying fencing to fence one side of his garden. He measures the length as 23cm to the nearest metre.
What is the largest possible true length of the garden?
(b) One post measures 180 cm truncated to 2 significant figures (Truncated means that rather than rounding, any digits after 2 significant figures are simply ignored
numerator = top part of the fraction
denominator = bottom part of the fraction
* means multiply
a.
you can only add the numerator when the denominator is the same
cant add the denominator
denominator has to be the same
1/5 = 4/20
4/20 + 7/20 = 11/20
b.
1 7/8 = 15/8
3/4 ÷ 15/8 =
3/4 * 8/15 =
24/60 = divide both top and bottom by 12 =
2/5
Step-by-step explanation:
a)1/5+ 7/20
1.find the CM of both denominators
2.multiply both the denominator and the numerator using the CM
=(1/5)×20 +(7/20)
=20/100 +35/100
since you multiply
3.Now add both numerators ( don't add the denominators)
=the answer is 55/100
Question 16 of 30
Use the formula to help you answer the question below. Do not include units
in your answer.
Rate Time = Distance
How many hours will it take to complete a 76-km bike ride if you go 16 km per
hour the whole time?
Answer here
Answer:
3:15 hours
Step-by-step explanation:
i don't know I just took the test
Answer:
4.75 or 4 3/4
Step-by-step explanation:
rate = distance/time
Multiply both sides by time:
time * rate = distance
Divide both sides by rate:
time = distance/rate
We are given:
distance = 76 km
rate = 16 km/h
time = ?
time = distance/rate
time = 76 km/(16 km/h)
time = 4.75 h = 4 3/4 h
7. GEOMETRY The radius r of a certain
circle is given by r = V71. Estimate the
radius of the circle to the nearest foot.
Please help
Numbers can be estimated by approximating them. So, we need to approximate [tex]\sqrt{71}[/tex] to the nearest integer to get its estimate of the radius in the nearest foot.
The radius to the nearest foot is 8ft
Given that
[tex]r = \sqrt{71}[/tex]
To calculate the radius, we simply determine the square root of 71
[tex]r = 8.42614977318[/tex]
Approximate to the nearest integer
[tex]r = 8[/tex]
Hence, the radius of the circle to the nearest foot is 8ft.
Read more about approximation at:
https://brainly.com/question/9933194
Determine the slope of a line passing through
(-2, 4) and (-9, 3).
Answer:
1/7
Step-by-step explanation:
We can us the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
= ( 3-4)/(-9- -2)
= (3-4)/(-9+2)
= -1 /-7
=1/7
which one of the following is not true about a rectangle? A. all its angels are right angels B. its opposite angels are equal C.opposite sides are parallel D. all its sides are equal
Answer:
I am not sure but it may be option c .
Step-by-step explanation:
I chose option c because in parallelogram the opposite sides are parallel .
3. Find the value of p in each of the following when f(x) is divided by d(x), with the help of remainder theorem:
(a) f(x) = px3 + 4x - 10 d(x) = x + 3 R = 5
(b) f(x) = x + 3x2 - px + 4 d(x) = x - 2 R = 8
(c) f(x) = 2x3 - 4x2 + 6x-p d(x) = x-2 R = 18
(d) f(x) = 4x3 - 3x2 + 3x - P d(x) = x-2 R = 12
(e) f(x) = 2x8 - 3x2 + px - 8 R = f(3) = 10
(f) f(x) = x3 + 5x2 - px + 6 R = 2p d(x) = x-1
(g) f(x) = x4 + x3 + =px² + x + 20 f(2) = 20
it's a optional mathematics Questions please solve him
The remainder theorem says that dividing a polynomial f(x) by a 1st-degree polynomial g(x) = x - c leaves a remainder of exactly f(c).
(a) With f(x) = px ³ + 4x - 10 and d(x) = x + 3, we have a remainder of 5, so
f (-3) = p (-3)³ + 4(-3) - 10 = 5
Solve for p :
-27p - 12 - 10 = 5
-27p = 27
p = -1
(b) With f(x) = x + 3x ² - px + 4 and d(x) = x - 2, we have remainder 8, so
f (2) = 2 + 3(2)² - 2p + 4 = 8
-2p = -10
p = 5
(you should make sure that f(x) was written correctly, it's a bit odd that there are two x terms)
(c) f(x) = 2x ³ - 4x ² + 6x - p, d(x) = x - 2, R = f (2) = 18
f (2) = 2(2)³ - 4(2)² + 6(2) - p = 18
12 - p = 18
p = -6
The others are done in the same fashion. You would find
(d) p = 14
(e) p = -4359
(f) p = 10
(g) p = -13/2 … … assuming you meant f(x) = x ⁴ + x ³ + px ² + x + 20
what is the probability notation for the probability for choosing a green marble?
The probability notation for the probability for choosing a green marble is [tex]P(G)=\frac{n(G)}{n(T)}[/tex], where [tex]n(G)[/tex] denotes the number of green marbles and [tex]n(T)[/tex] denotes the number of total marbles in the bag (or from wherever we are choosing).
The probability of occurrence of an event is the ratio of the number of favorable outcomes and the total number of outcomes, where the favorable outcomes are the outcomes that implies the occurrence of the event.
Here, the event is "choosing a green marble". So, the number of green marbles in the bag is the number of favorable outcomes and the total number of marbles in the bag is the total number of outcomes.
Denoting [tex]G[/tex] as the event of "choosing a green marble", the notation [tex]P(G)[/tex] denotes the probability of event [tex]G[/tex], that is, probability of choosing a green marble.
Denoting [tex]n(G)[/tex] and [tex]n(T)[/tex] as the number of green marbles and total number of marbles respectively, by the definition, the probability notation for the probability for choosing a green marble is given as [tex]P(G)=\frac{n(G)}{n(T)}[/tex].
Learn more about probability notation here:
https://brainly.com/question/22159331
PLEASER HELP WILL GIVE BRAINLIEST!
Answer:
$250
Step-by-step explanation:
the class width (just choose one of the rows, it could be the same) =>for example:the first row = $(749-500+1) = $250
could someone help me ASAP, thanks !!
Answer:
I think this is the right answer but last two signs are incorrect
Hope this will help
Answer:
i dont know
Step-by-step explanation:
Joe travels at a constant speed of 80 miles per hour for ten hours. How many miles will he travel in ten
hours? How many kilometers will he travel in ten hours? (1 mi= 1.6 km)
Answer:
1287.48 km
Step-by-step explanation:
80 miles = 128.748 km
Distance = Speed x TimePutting in 'x' for distance
x = 80*10
x = 800 miles
or
x = 1287.48 km
simplify (2^2×4^-2)×5^8+2+3^0
The base of a triangular prism has an area of 35 m2. This triangular prism has a height of 7 m. What is the volume of this triangular prism?
Answer:
The volume is 245 m^2
Step-by-step explanation:
the volume formula is aways base time height, or V = bh
so plot the number in, 35 x 7 = 245
Can you help me please please correct my
Answer:
a = m/c
~~~~~~~~~~~~~~~~~~~~~~~
m=ca
divide both sides by c
you get a = m/c
Step-by-step explanation:
Answer:
a = m/c
Step-by-step explanation:
m = ca
divide both sides by c
m/c = ca/c
m/c = a
:.a = m/c
Which of the following have a total of 8 possible outcomes? Check all that apply.
Answer:
Probably the first three answers
Step-by-step explanation:
The rest are
4) 3×5=15 (which is not 8)
5) 6×2=12 (≠8)
So it's just the first three
The side lengths of a 45-45-90 triangle are in the ratio 1:1:√2. What is sin 45°?
Answer:
[tex]\frac{\sqrt{2} }{2}[/tex]
Step-by-step explanation:
To find the value of sin 45° we divide the opposite side length with hypotenuse
[tex]\frac{1}{\sqrt{2} }[/tex] we then multiply this by [tex]\sqrt{2}[/tex] because denominator cannot be irrational
[tex]\frac{1}{\sqrt{2} }[/tex] x [tex]\sqrt{2}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] gg
Relationship between q and t pleaseeee helppppp
Step-by-step explanation:
it is simple.
there is a constant speaking time of 25 minutes.
the duration of the meeting is the speaking time plus the question answering time.
so,
q = 1 means t = 25 + 1 = 26
q = 2 means t = 25 + 2 = 27
q = 3 means t = 25 + 3 = 28
q = 8 means t = 25 + 8 = 33
