Answer:
Multiply by 3 on both sides of the equation.
2.78 × 3 = 8.34, so t = 8.34.
Substitute 8.34 for t to check the solution.
Step-by-step explanation:
To solve the equation [tex]\frac{t}{3}[/tex]= 2.78
we will use the steps below to solve this equation;
First, multiply by 3 on both-side of the equation. That is;
[tex]\frac{t}{3}[/tex] × 3= 2.78 × 3
On the left hand side of the equation 3 will cancel-out 3, leaving us with just t while 3 will be multiply by 2.77 on the right-hand side of the equation to give 8.34
t = 8.34
we can further substitute 8.34 for t to check the correctness of the solution
that is;
[tex]\frac{8.34}{3}[/tex] = 2.78
Answer:
1,4,5
is the answer your welcomeWhich expression has the same value as 5(4x+4)
Answer: 20x + 20
Step-by-step explanation: In this problem, the 5 "distributes" through the parentheses, multiplying by each of the terms inside.
So we have 5(4x) + 5(4) which simplifies to 20x + 20.
The space shuttle's external tank was a component of the space shuttle's launch vehicle that carried the fuel during launch. The tank is cylindrical in shape, having a diameter of 8.4 metres and is 46.9 metres in length. A)How much fuel would the tank hold? B)The tank takes 8.5 minutes to be emptied during launch. At what rate is the fuel being used?
Answer:
a. The tank would hold a 2,600.136 m^3 or 2,600,136 liters of fuel
b. The rate at which the fuel is being used is 305,898.35 liters of fuel per minute
Step-by-step explanation:
a. Since the tank is cylindrical in shape, we can mathematically calculate the volume of the cylinder so as to know the amount of fuel it will hold.
Mathematically, the volume of a cylinder;
V = π * r^2 * h
where r is the radius which is the diameter divided by 2 = 8.4/2 = 4.2 meters in this case
h is the length here(in place of the conventional height) = 46.9 meters
π = 22/7
Plugging these values into the equation, we have;
V = 22/7 * 4.2^2 * 46.9 = 2,600.136 m^3 of fuel
Since 1 m^3 = 1000 liters
then 2,600.136 m^3 = 2,600.136 * 1000 = 2,600,136 liters( liters is a more comfortable unit when talking about liquids such as fuel)
b. Now we want to know the rate at which the fuel is used
What we need here is to just divide the volume of fuel used by the number of minutes it took the tank to be emptied
That would be = 2,600,136/8.5 = 305,898.35 liters/minute
Which equation represents the given statement "Eight times a number minus 2 equals 33
more than the number." *
Answer:
8N-2=33+N
Step-by-step explanation:
You have $1000 to invest in an account and need to have $2000 in one year. What interest rate would you need to have in order to have this if the amount is compounded weekly? Round your answer to the nearest percent.
Answer:
69.8%
Step-by-step explanation:
The weekly interest rate is computed using 52 weeks a year as per standard investment practice.
FV=PV*(1+r/52)^n*52
FV is the future value of $2000
PV is the present worth of $1,000
r is the unknown
n is the number of years which is 1
2000=1000*(1+r/52)^1*52
divide both sides by 1000
2000/1000=(1+r/52)^52
divide the index of the both sides by 52
(2000/1000)^(1/52)=1+r/52
1.013418991 =1+r/52
r/52=1.013418991 -1
r/52=0.013418991
r=0.013418991 *52=69.8%
Answer:
4%
Step-by-step explanation:
not really sure if thats right but i hopes it helps
PLS HELP ME
M^2- 7m+1 ?
Answer:
Step-by-step explanation:
factorize the given equation like this
m^2-7m+1
m^2-2m+1-5m
(m-1)^2-([tex]\sqrt{5m}[/tex])^2
(m-1+[tex]\sqrt{5m}[/tex])(m-1-[tex]\sqrt{5m}[/tex])
Suppose x,y and z are positive real numbers. Prove that x+z/y+z>xy if and only if x Question has also been attached...PLS HELP!!!
Let's manipulate the expression a little bit and see what we come up with: we have
[tex]\dfrac{x+z}{y+z}>\dfrac{x}{y} \iff \dfrac{x+z}{y+z}-\dfrac{x}{y}>0 \iff \dfrac{y(x+z)-x(y+z)}{y(y+z)}>0[/tex]
We can simplify the fraction as
[tex]\dfrac{xy+yz-xy-xz}{y(y+z)}=\dfrac{yz-xz}{y(y+z)}=\dfrac{z(y-x)}{y(y+z)}[/tex]
Since both [tex]y[/tex] and [tex]z[/tex] are positive, their sum will be positive as well. In other words, we can rewrite the fraction as
[tex]\underbrace{z}_{>0}\cdot\underbrace{\dfrac{1}{y}}_{>0}\cdot\underbrace{\dfrac{1}{y+z}}_{>0}\cdot (y-x)[/tex]
So, the sign of this fraction depends on the sign of [tex]y-x[/tex]. If its positive, then the whole fraction is positive (product of 4 positive factors). If it's negative, then the whole fraction is negative (product of 3 positive factors and a negative one).
In other words, we arrived to the desired conclusion:
[tex]\dfrac{x+z}{y+z}>\dfrac{x}{y}\iff y-x>0 \iff y>x[/tex]
Can someone tell me the rate of change on this graph?? Please!
Can someone please help me? I keep losing points...
CORRECT ANSWERS ONLY PLEASE!!!!
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Round your answer to the nearest cent.
Answer:
She will have $78,080 dólars in her account and $17,080 is the interest she will earn in 2 years
Step-by-step explanation:
i = prt
i = ($61,000)(.14)(2)
i = $17,080
$78,080
Answer:
$78080
Step-by-step explanation:
Using the given formula :
I = P × R × T
I = 61000 × 14/100 × 2
I = $17080
She have = 61000 + 17080 = $78080
can someone help? 25 points
Answer:
Triangle A: acute
Triangle B: acute
Triangle C: obtuse
Triangle D: right
Step-by-step explanation:
acute= less than 90 degrees each angle
obtuse=more than 90 degrees for one angle
right=equal exactly 90 degrees for one angle
Answer:
A=Acute
B. Acute
C.Obtuse
D.Right
Step-by-step explanation:
a,and b, and are acute becuase there angles are less than 90 degrees.
d is obtuse beucase the angleismore than 90 degrees
D is right beucase the angle is 90 degrees and it hasthat square in the corner.
Selecting 5 out of the 13 students will ride in a car instead of a van.
A) Permutation
B) Combination
C) Circular permutation
Answer:
combination
Step-by-step explanation:
permutation is when there is a specific order, whereas combination is when they are not in any specific pattern (in this case, 5/13 students, not in any particular order. just 5.
I don't want to explain circular permutation right now (it's difficult to explain), but it's not it from my knowledge
The number of ways selecting 5 out of the 13 students will ride in a car instead of a van is 1287.
The way of selecting 5 out of the 13 students will ride in a car instead of a van is evaluated by the combinations.
We consider the group of 5 students can be selected to ride in a car instead of a van.
Thus, for selecting a random group of the data from the universal data, we have to apply combinations to evaluate it.
Therefore, the ways can be formulated as:
[tex]^{13}C_5=\dfrac{13!}{5! \times 6!}\\=1287\;\rm{ways}[/tex]
Thus, the number of ways selecting 5 out of the 13 students will ride in a car instead of a van is 1287.
To know more about the combinations, please refer to the link:
https://brainly.com/question/10699405
Slope and y-intercept of the function y= -5x+4.
Answer:Slope is -5. y-intercept is 4
Step-by-step explanation:
y=mx+c m=slope y-intercept=c
y=-5x+4
Comparing both equations we m=-5 and c=4 meaning slope =-5 y-intercept=4
Maria está en el piso 6 y quiere ir al sótano 2. Cuantos pisos bajará?
Answer: 8
Step-by-step explanation:
Ella tiene que bajar los 6 pisos, mas 2.
6+2=8
The value of a car is $30.000and depreciates at a rate of 6.5% each year.
What will the value of the car be after 5 years?
find interest and subtract it from 30,000
NEED HELP! ASAP PLEASE!
Answer:
(0,-41)
Step-by-step explanation:
You can see that for each 9 units that x goes up, y goes up by 19. If we continue this pattern, it will take 2 more jumps of 9 units for the x value to be 0 or to reach the y intercept. Adding 19 twice to -79 gives -41. Hope this helps!
What is the discriminant of the quadratic equation 0 = –x2 + 4x – 2?
–4
8
12
24
Answer:
8
Step-by-step explanation:
0 = –x^2 + 4x – 2
This is of the form
ax^2 +bx +c
a = -1 b = 4 x = -2
The discriminant is
b^2 -4ac
4^2 - 4(-1)(-2)
16 - 8
8
n circle V, r = 14ft.
What is the area of circle V?
a
49π square feet
b
196π square feet
c
14π square feet
d
28π square feet
Answer:
196 pi, otherwise known as choice b
Step-by-step explanation:
14^2*pi
Answer:
b
Step-by-step explanation:
The formula for the area of a circle is [tex]\pi r^2[/tex]. Plugging in the radius that you are given, you get [tex]\pi \cdot 14^2=196\pi[/tex], or answer choice b. Hope this helps!
Denise calculated the missing side length of one of these triangles using the Pythagorean Theorem. Which triangle is it? (4 points) Four triangles are shown. Triangle A has three equal sides, and two sides are marked 4 and 4. Triangle B has sides marked 3 and 5. Triangle C has sides marked 4 and 5. Triangle D has sides marked 2 and 4 and a right angle marked in between them.
Answer:
D
Step-by-step explanation:
Answer:
The answer is triangle D because you can only apply the Pythagorean Theorem to right triangles
find the value of x in the following..... 3^x = 8
Answer:
x ≈ 1.893 ( to 3 dec. places )
Step-by-step explanation:
Using the rule of logarithms
log [tex]x^{n}[/tex] = n logx
Given
[tex]3^{x}[/tex] = 8 ( take the log of both sides )
log[tex]3^{x}[/tex] = log8, that is
xlog3 = log8 ( divide both sides by log3 )
x = [tex]\frac{log8}{log3}[/tex] ≈ 1.893
What is the value for x when solving the equation –x + (–1) = 3x + (–5) using alegbra tiles?
Answer:
x=1
Step-by-step explanation:
just use this app called photomath its free on apple and gives you answers.
Answer: x = 1
Step-by-step explanation:
–x + (–1) = 3x + (–5)
−x−1−3x=3x−5−3x
−4x−1=−5
Add 1 to both sides.
−4x−1+1=−5+1
−4x=−4
Divide both sides by -4.
x = 1
Hope this helps :)
Find the area
Please help me thank you!
Can anyone pls help me out in dis!!!
Answer:
1. Since you have to square the number of units to use the Pythagorean theorem, the dashes represent the number you would use in the equation(without squaring afterwards) . So if its 3 units long, there are 9 dashes. (3^2=9)
2. You can't use the number of boxes because that wouldn't give you the correct answer for C, since all of the variables have to be squared first for the formula to work.
Step-by-step explanation:
a. 9
b. 10
c. 16
d. 17
Unit 6. 5) Please help. Which equation shows the correct use of the addition rule to determine the probability that a randomly selected show had animals in it or aired more than 10 times?
Answer:
D.) 0.7+0.4−0.2=0.9
Determine the projection of w onto v. U=9i-6j, v= -3i-2j, w=19i+15j
Answer:
w·v = -87
Step-by-step explanation:
The projection of a vector on another vector is given by the dot product between the vectors.
Thus, you calculate the dot product between w and v:
[tex]\vec{w}=(19,15)\\\\\vec{v}=(-3,-2)\\\\\vec{w}\cdot \vec{v}=(19,15)\cdot (-3,-2)\\\\\vec{w}\cdot \vec{v}=-57-30=-87[/tex]
So, the projection of w on v is -87
The science club sponsors is ordering caps and shirts for the boys and girls in the science club. There are 45 science club members. If the caps in some packages of 3 and the shirts come in packages of 5 what is the least number of packages of caps and church that will need to be ordered
Answer:
The least number of package of cap required is 15, while that of shirt is 9
Step-by-step explanation:
Total number of members = 45
The cap comes in package of 3
The shirt comes in package of 5
The least number of the package of caps they need to order is =?
Since they're 45 in numbers, we can divide 45 by 3 to know the total number of package required to go round.
Number of package of caps = 45 / 3
Number of package of caps = 15
We can also go ahead and find the number of package for shirt required by using the same method, only this time we'll divide it by 5 instead of 3
Number of package for shirt = 45 / 5
Number of package for shirt = 9
Therefore, the least number of package of caps required is 15 while that of shirt is 9
You flip a coin and then roll a fair six-sided die. The coin lands heads-up and the die shows an even number.
help and thanks!!
Answer:
1/6
Step-by-step explanation:
If you're asking for the probability that the coin is heads and the die is even. Hope this helps :)
1/3*1/2= 1/6
Answer:
The answer is 1/6
Step-by-step explanation:
This is because the dice has 6 sides so the possibility of getting a even is 1/6
Tennis great Roger Federer made 63% of his first serves in a recent season. When Federer made his first serve, he won 78% of the points. When Federer missed his first serve and had to serve again, he won only 57% of the points. Suppose you randomly choose a point on which Federer served. You get distracted before seeing his first serve but look up in time to see Federer win the point. What's the probability that he missed his first serve?
Sounds like a Bayes Theorem problem.
Events:
F: Roger makes his first serve. We'll write ~F for "not F".
P(F) = .63
P(~F) = 1 - .63 = .37
W: Roger wins the point. We don't know P(W) but we are given
P(W | F) = .78
P(W | ~F) = .57
We're asked for
P(~F | W)
The basic conditional probability theorem is
P(~F and W) = P(~F | W) P(W) = P(W | ~F) P(~F)
P(~F | W) = ( P(W | ~F) P(~F) ) / P(W)
We write
P(W) = P(W | F) P(F) + P(W | ~F) P(~F)
Substituting gives Bayes' Theorem:
P(~F | W) = ( P(W | ~F) P(~F) ) / ( P(W | F) P(F) + P(W | ~F) P(~F) )
We know all the parts so we substitute,
P(~F|W) = ( .57(.37) ) / (.78(.63) + .57(.37) ) = 0.30029901751388294
Let's call that 30%
Answer: 30%
Answer:
0.3
Step-by-step explanation:
We need to reverse this because we only know the outcome. P(A|B) = P(B|A) * P(A) / P(B), so P(B|A) is B given that A happens, P(A) in this case is the probability that he missed the first serve. P(B) is the probability of winning the point. P(B) = P(B|A') * P(A') + P(B|A) * P(A), which means P(B) is the probability of the point scored given that the serve was made multiplied by the probability of the serve being made plus the probability of B given that serve is missed multiplied by the probability that the serve is missed. This is 57% * 37% + 78% * 63%=0.21+0.49=0.7. So P(B)=0.7. P(B|A)*P(A)/P(B) would be 57% * 37% / 70% = 0.3. The probability that Federer missed his first serve given that he scored the point is 0.3.
A box is laid on its side and the white label wrapped around the box covers 30% of the lateral surface area of the box. Find the length x of the box.
Answer:
6
Step-by-step explanation:
What is the equation of a line that is parallel to (1/2)y + x = 4 that passes through the point (0,14)?
Answer:
i cant answer that i'm only in 8th
what is absolute diviation
It’s the average distance between each data value and the mean.
Answer:
one measure of variability; the average of how much the individual scores of a data set differ from the mean of the set. - abbreviation: MAD
Step-by-step explanation: