3t−18=4(−3−
4
3
t)3, t, minus, 18, equals, 4, left parenthesis, minus, 3, minus, start fraction, 3, divided by, 4, end fraction, t, right parenthesis
t =t=t, equals
The variable t in the equation is 1.
How to find the variable in an equation?3t - 18 = 4(-3 - 3/4t)
Open the bracket on the right side
3t - 18 = 4(-3 - 3/4t)
3t - 18 = -12 - 3t
add 3t to both sides of the equation
3t - 18 = -12 - 3t
3t - 18 + 3t = -12 - 3t + 3t
3t + 3t - 18 = -12
6t - 18 = - 12
Add 18 to both sides of the equation
6t - 18 = - 12
6t - 18 + 18 = - 12 + 18
6t = 6
divide both sides by 6
6t = 6
6t / 6 = 6 / 6
t = 1
Therefore, the value of t is 1.
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Determine slope of any line perpindicular to GH. (-1,2) (-2,-1)
Answer:
Perpendicular slope = – 1/m = -1/3 = -1/3
Step-by-step explanation:
Given the points
(-1,2)(-2,-1)\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)
\(\left(x_1,\:y_1\right)=\left(-1,\:2\right),\:\left(x_2,\:y_2\right)=\left(-2,\:-1\right)\)
\(m=\frac{-1-2}{-2-\left(-1\right)}\)
\(m=\frac{-1-2}{-2-\left(-1\right)}\)
\(m=3\)
We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
slope = m = 3
perpendicular slope = – 1/m = -1/3 = -1/3
Thus, the slope of any line perpendicular to GH = -1/3
Eight times the difference of y and nine
Answer:
(y-9)8
Step-by-step explanation:
you first solve 8-9, and then multiply is by 8.
Eight times the difference of y and nine will be 8(y - 9).
It should be noted that eight times the difference of y and nine simply means that one has to subtract 9 from y and then multiply the difference by 8.
Therefore, eight times the difference of y and nine will be 8(y - 9).
In conclusion, the correct option is 8(y - 9).
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Starting at its rightmost position, it takes 1 second for the pendulum of a grandfather clock to swing a
horizontal distance of 12 inches from right to left, and 1 second for the pendulum to swing back from left to
right. Write a cosine function, d = acos(bt), to model the distance, d, of the pendulum from the center (in
inches) as a function of time t (in seconds)
a=
Answer:
Step-by-step explanation:
amplitude of oscillation a = 12 / 2 = 6 inches.
time period T = 2 s
b = angular frequency = 2π / T
= 2π / 2
= π
so putting the values in the equation
d = a cos ( b t )
d = 6 cos ( π t )
Answer:
there are two more questions and the answers are 0.5 is the least positive amount of the pendulum and 4.243=y when x=4.25
Step-by-step explanation:
Please help me in this math problem
Answer:
Step-by-step explanation: well, you will more than likely get it at least 60%-80% of the time! If this doesn't help i can try to explain in a lot more detail unless someone does for me!
find the vector and parametric equations for the line through the point p(-2, 8, 5) and parallel to the vector .
So the parametric equation for the line through the point p(-2, 8, 5) and parallel to the vector v is:
x = -2 + t * vx
y = 8 + t * vy
z = 5 + t * vz
The vector equation for a line can be represented as:
p = p0 + t * d
where p0 is a point on the line, t is a scalar parameter, and d is the direction vector of the line. To find the vector equation for the line through the point p(-2, 8, 5) and parallel to the vector v, we need to find the direction vector d and the point p0.
Since the line is parallel to the vector v, the direction vector d will be equal to v. The point p0 can be found by using the point p(-2, 8, 5):
p0 = p - t * d
Plugging in the values for p, d, and t = 0:p0 = (-2, 8, 5) - 0 * (v) = (-2, 8, 5)
So the vector equation for the line through the point p(-2, 8, 5) and parallel to the vector v is:
p = (-2, 8, 5) + t * (v)
The parametric equation for a line in 3D space can be represented as:x = x0 + t * dx
y = y0 + t * dy
z = z0 + t * dz
where (x0, y0, z0) is a point on the line, and (dx, dy, dz) is the direction vector of the line.
Plugging in the values from the vector equation:x = -2 + t * vx
y = 8 + t * vy
z = 5 + t * vz
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DO THE MATH: Groceries Galore is offering baby formula at the sale price of
$12.00 per can, a discount from the regular price of $20.00 per can.
How much is the percentage discount on this sale?
60%
6%
40%
4%
Please help me solve and explain these two questions:
1. Find f'(x) for f(x) = ln(x^2 + e^(3x))
2. Find dy/dx by implicit differentiation for ysin(x) = xsin(y)
Answer:
go by basics u will get it easier
Step-by-step explanation:
assume X2 + e3x as some function t
now find derivative you get (1/t )dt/dx
now find dt /dx. simply derivative with respect to x
for second question use formula
dy/dx = - partial derivative of function with x / partial derivative of function with respect to y
John walks 3/5km per hour ,At this rate ,how far would he walk in 1/2 hour.provide answer in decimal notation
answer: 0.3km
explanation:
distance in 1 hour = 3/5km
distance in 1/2 hour = 3/5km ÷ 2
= 3/10km
= 0.3km
hence, john would have walked 0.3km in half an hour.
Given matrices A and B shown below, find (7)A+(7)B.
The equivalent matrix of the matrix operations can be given by \(\left[\begin{array}{ccc}35&14\\-70&42\end{array}\right]\).
Matrix operations are fundamental mathematical operations performed on matrices, which are rectangular arrays of numbers or symbols arranged in rows and columns. Matrix operation includes addition, subtraction, scalar multiplication, matrix multiplication, transposition, determinant, inverse, etc.
Given matrices are written below:
\(A=\left[\begin{array}{ccc}1&5\\-5&3\end{array}\right]\) and \(B=\left[\begin{array}{ccc}4&-3\\-5&3\end{array}\right]\).
Given matrices operation to be performed: \(7(A)+7(B)\).
\(7(A)+7(B)=7\left[\begin{array}{ccc}1&5\\-5&3\end{array}\right] +7\left[\begin{array}{ccc}4&-3\\-5&3\end{array}\right]\)
First, perform the scalar multiplication. Multiply both matrices by the scalar \(7\).
\(\Rightarrow7(A)+7(B)=\left[\begin{array}{ccc}(1\times7)&(5\times7)\\(-5\times7)&(3\times7)\end{array}\right] +\left[\begin{array}{ccc}(4\times7)&(-3\times7)\\(-5\times7)&(3\times7)\end{array}\right]\\\Rightarrow7(A)+7(B)=\left[\begin{array}{ccc}7&35\\-35&21\end{array}\right] +\left[\begin{array}{ccc}28&-21\\-35&21\end{array}\right]\\\)
Now, perform the addition of two matrices.
\(\Rightarrow7(A)+7(B)=\left[\begin{array}{ccc}(7+28)&(35-21)\\(-35-35)&(21+21)\end{array}\right]\\\Rightarrow7(A)+7(B)=\left[\begin{array}{ccc}35&14\\-70&42\end{array}\right]\\\)
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AXYZ AMNL
X
XY =
33°
Y
LA
12
N
124°
N
8
M
Answer:
8
Step-by-step explanation:
You want to know the measure of segment XY if ∆XYZ ≅ ∆MNL and MN = 8.
Corresponding sidesSegment XY is named using the first two vertices listed in the name of ∆XYZ. That means the segment is the same length as the one named by the first two vertices listed in the name of congruent ∆MNL, segment MN.
Segment MN is given as 8 units long. Segment XY is congruent, so is also 8 units long.
XY = 8 units
<95141404393>
geometry please helpp
Answer:
(1)
Step-by-step explanation:
11111111111111111111111
hich linear function has the steepest slope?
y = negative 8 x + 5
y minus 9 = negative 2 (x + 1)
y = 7 x minus 3
y + 2 = 6 (x + 10)
The function with the steepest slope is \(y = 7x - 3\).
The correct answer is C.
The linear function with the steepest slope is the one with the highest absolute value for the coefficient of x.
Let's compare the coefficients of x in each of the given functions:
\(y = -8x + 5\)
Slope: -8
\(y - 9 = -2(x + 1)\)
Simplifying, we get \(y - 9 = -2x - 2\)
Rearranging, we have \(y = -2x + 7\)
Slope: -2
\(y = 7x - 3\)
Slope: 7
\(y + 2 = 6(x + 10)\)
Simplifying, we get \(y + 2 = 6x + 60\)
Rearranging, we have \(y = 6x + 58\)
Slope: 6
Therefore, the steepest slope is the \(y = 7x - 3\).
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Find the simple interest on $2,219 principal, deposited for 6 years at a rate of 1.91%
Answer:
$13,568.30
Step-by-step explanation:
I = Prt
I = 2,219(1.0191)(6) = 13,568.30
fill in the blank. the mathematical formula for calculating the___percent is the number of times an association did occur divided by the number of times it could have occurred in the data set. support confidence laplace gain
The mathematical formula for calculating the support percent is the number of times an association did occur divided by the number of times it could have occurred in the data set.
Support is a measure of the frequency or popularity of an itemset, i.e., the number of transactions in which an item or a set of items appears in a transaction database.
In data mining and association rule learning, support is a key measure for identifying interesting patterns or associations in the data. A high support value indicates that the itemset is frequently occurring in the data, and is therefore considered as having a high degree of importance or interest.
In general, a support threshold is used to prune the search space and focus on only those patterns that meet a minimum support criterion.
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Your question seems incomplete, but I suppose the full question was:
"The mathematical formula for calculating the ________ percent is the number of times an association did occur divided by the number of times it could have occurred in the data set.
support
confidence
Laplace
gain."
PLS HELP ASAP WILL GIVE BRAINLIEST
Answer:
C
Step-by-step explanation:
None of the others are vertical angles
a is supplementary angles
b is supplementary angles
d is alternate interior angles
HELP ASAP Will GIVE BRAINLYIST
Right triangle ABC is shown below.
A similar right triangle would be created by a rise of 8 and a run of______.
Answer:
6
Step-by-step explanation:
The given triangle has a rise of 4 and a run of 3. The similar triangle has a rise of 8, which is double the rise of the given triangle. So the similar triangle will have double the run of the given triangle as well.
3 x 2 = 6
A function h(x) is defined by the formula h(x)=x^3-3. What is the value of g(h(2))?
Answer:
g(h(2))= 5
Step-by-step explanation:
h(x)=x^3-3
g(2^3-3)
the 2 replaces the x
simplify
g(5)
Joyce saved $220 on an item that was 75% off what was the original price
Answer:
$880
Step-by-step explanation:
Use the equation:
\(P=(1-d)x\) with d being the discount in a decimal form, and P being the price that was bought at.
220=(1-0.75)x
simplify parenthesis terms
220=0.25x
divide both sides by 0.25
880=x
So, the original price was $880.
Hope this helps! :)
The volume of a cone is 13.4m cubed and the radius is 3.2m what is the height
Answer:
The height is 1.25m.
Step-by-step explanation:
Volume = 1/3 πr²h
Given:
V = 13.4 m³
r = 3.2 m
Asked: height (h)
Substitute the formula with the given values then solve
13.4m³ = 1/3π(3.2m)²h
13.4(3) = 10.24πh
40.2 = 10.24πh
h = 40.2/10.24π
h = 1.25m
The height of the cone is 1.25 meters.
We know that the volume of the cone is given by
V = (1 / 3) * π * r ^2 * h................equation 1
where,
V is the volume of the cone.
r is the radius of the cone's base
h is the height
The volume and radius of the cone are given,
V = 13.4 m
r = 3.2m
substituting these values in equation 1 we get,
13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h
on simplifying further
13.4 = 10.717 * h
h = 1.25m
The height of the cone is 1.25 meters.
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In the diagram below, KM=5 and MN=3
Answer: KL = KN LM=NO=9 Side-Side-Side
Step-by-step explanation:
The required answers to the question is given below.
What is congruence?Triangle congruence: If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create a similar appearance. They are in alignment with one another when moved. "≅" is the congruence symbol.
How to solve it?Use the following figure to understand the answer.
The Proof is
1. KM=KO=5 (GIven)
2. MN=3 (Given)
3. KN=KM+MN=8 (because the lengths are equal to the sum of their parts.)
4. KL=8 (Given)
5. KL=KN (from 3,4 substitution)
6. NO=ML=9 (Given)
7. ΔKLM=ΔKNO the congruence criterion used is SSS congruence.
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Please help, find the value of y
Answer
Step-by-step explanation:
chord makes or arc make 120° at the center.
sum of other two angles of triangle=180-120=60
because they are equal.
so each angle=60/2=30°
tangent line makes angle 90° with radius .
so 30+y=90
y=90-30=60°
if 4% of packages get lost in the mall, then which DECIMAL best represents the amount of packages lost in the mall?
Answer:
0.04
Step-by-step explanation:
We know that 4% of packages are lost in the mail, but we want to know the decimal.
We must convert 4% to a decimal. There are 2 ways to do this.
1.
Remove percent sign and divide by 100.
4%
4
4/100
0.04
2.
Remove percent sign and move decimal place two spots to the left.
4%
4 = 4.0
4.0 --> 0.4 --> 0.04
0.04 of the packages are lost in the mail.
Find the missing term in the pair of equivalent ratios.
_ : 24 = 15 : 5
Answer:
72 : 24 = 15 : 5
a(-1, 1)b(1, -2)c(0, -4) rotated 270 degrees by the origin
There are 10
triangles and 4 circles. What is the simplest ratio of circles to total
shapes?
Answer:
5:2 is the simplest ratio of the circles to total
Step-by-step explanation:
5:2 is the answer hope it helps ya
expand 2x(3x+2y) thank you
Answer:
6x^2+4xy
Step-by-step explanation:
You distribute the 2x by multiplying it with each term
2x(3x)+ 2x(2y)
6x^2+4xy
hopes this helps please mark brainliest
7 cm
rom
This quarter circle has a radius of 7 centimeters.
What is the area of this figure?
Use 3.14 for pi.
Enter your answer as a decimal in the box. Round your answer
to the nearest hundredth
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
Area of quarter = 1/4 × Area of whole circle
that is ~
\( \sf \dfrac{1}{4} \times \pi {r}^{2} \)\( \sf \dfrac{1}{4} \times 3.14 \times 7 \times 7\)\( \sf \dfrac{153.86}{4} \)\( \sf \approx38.46 \: \: cm {}^{2} \)
Nina is driving to her friend’s house. For the first part of the drive, she drove at a constant speed of 55 miles per hour for 36 minutes. For the second part of the drive, she drove at a constant speed of 17.5 miles per hour for 14 miles. What is the total distance, in miles, and total amount of time, in minutes, that Nina drove to her friend’s house?
Answer:
miles: 55(36/60) = 55(0.6) = 33 miles
mins: 60(14/17.5) = 60(0.8) = 48 minutes
Total amount of time, in minutes
36 minutes + 48 minutes84 minutesThe total distance, in miles
33 miles + 14 miles47 milesStep-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-The required distance and time are 47 miles and 84 minutes, respectively.
What is speed?Speed is measured as the ratio between the distance and time, and the SI unit of speed is m/s.
We know that speed = distance / time
Finding for distance =
55(36/60) = 55(0.6) = 33 miles
Therefore, The total distance, in miles =
= 33 miles + 14 miles
= 47 miles
For Time =
60(14/17.5) = 60(0.8) = 48 minutes
Therefore, Total amount of time, in minutes =
36 minutes + 48 minutes
= 84 minutes
Hence, The required distance and time are 47 miles and 84 minutes, respectively.
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How do I find the answer to this question?
Answer:
you see
Step-by-step explanation: