Answer:
For two vectors to be orthogonal it means that their dot product must be equal to zero.
Usually dot product of perpendicular vectors is zero and thus all perpendicular vectors are orthogonal.
A college with a graduating class of 4000 students in the year 2010 predicts that its graduating class will grow 5% per year.
Using an exponential function to model the number of students y in the graduating class t years after 2010 to predict the number
of students in 2017?
Hello,
[tex]u_0=4000\\u_1=4000*1.05 (for\ year\ 2011)\\\\u_n=4000*1.05^n\\So:\\year\ 2017: u_7=4000*1.05^7=5628,401690625\ \approx{5628}[/tex]
Using an exponential function, the number of students y in the graduating class 7 years after 2010 i.e. in 2017 will be 5628.4
What is an exponential function?y = abˣ, where a is the initial population, b is the rate, and x is the time, is the standard exponential function.
How to solve this problem?Here initial student population = 4000.
Rate = 5% = (100 + 5)/100 = 1.05
Time = 7 years.
Now, in 2017, the population will be y = 4000 * (1.05)⁷ = 5628.401691 ≅ 5628.4.
Therefore, using an exponential function, the number of students y in the graduating class 7 years after 2010 i.e. in 2017 will be 5628.4
Learn more about exponential function here -
https://brainly.com/question/14551308
#SPJ2
what is the solution 2/3x+3 x=-2
Answer:
5/3 or 0.666666666667
Step-by-step explanation:
2/3*(-2)+3
5/3 or 0.666666666667 (Solved by calculator)
is 65.4279 irrational or rational? Explain
help me please I have no clue how to do these
Answer:
AB is parallel to DC
Step-by-step explanation:
you have to tilt your head to the left for this one LOL
AB is parallel to DC
since 1 = 6
its the bottom of a triangle
Examine the linear functions that represent Abel and Neal's mountain biking scenario. Abel: d = 14t, Neal: d = 11t + 6 How will you inspect the equations to determine the number of solutions? Compare the slopes. If they are the same, there will be one solution. Compare the slopes. If they are different, there will be one solution. Compare the y-intercepts. If they are the same, there will be one solution. Compare the y-intercepts. If they are different, there will be one solution.
Answer:
B: Compare the slopes. If they are different, there will be one solution.
Step-by-step explanation:
I gottchu guys :)
Answer:
Step-by-step explanation:
Given the original statement "If a number is negative, the additive inverse is positive," which are true? Select
three options
Olf p = a number is negative and q = the additive inverse is positive, the original statement is p - 9.
Olf p = a number is negative and q = the additive inverse is positive, the inverse of the original statement is
---
Olf p = a number is negative and q = the additive inverse is positive, the converse of the original statement is
-9 - p.
Olf q = a number is negative and p = the additive inverse is positive, the contrapositive of the original
statement is pr9
If q = a number is negative and p = the additive inverse is positive, the converse of the original statement
is 9 - P.
no
Answer:
1,2.
Step-by-step explanation:
.
Which expressions are equivalent to the one below? Check all that apply.
7*3.7^x
A. 73-*
B. 493x
C. 343.7
D. (7.7)3
E. 73x
F. 73 + x
Answer: ur answer is correct ❤️
Step-by-step explanation:
bobby drove 110 miles and his car used 5 gallons of gas. How many miles can he drive with 16 gallos of gas
Answer:
Bobby can drive 352 miles with 16 gallons of gas.
Step-by-step explanation:
110 miles uses 5 gallons of gas.To find how many miles can be driven with one gallon we divide 110 by 5.
110 ÷ 5 = 22
Therefore to find the amount of miles that can be driven with 16 gallons we multiply 16 × 22 = 352
Help me ASAP please
Step-by-step explanation:
similar triangles are simply like a linear protection, a "zoom" without distortion from one triangle to the other.
so, all linear distances and connections change by the same scaling factor.
therefore also the height EF of the smaller triangle colors the same scaling factor as the other lines. and EF is half the length of CG.
the area of a triangle is defined as baseline × height /2.
so, 2 linear distances are multiplied.
each one now contains the same scaling factor. so, the formula for the similar triangle multiplies the original distances and fire each also the scaling factor leading to the square of the scaling factor.
so, area new = area old × scaling²
in our example the scaling factor is 2, and 2² = 4.
so the area of ABC is 4 times as large as the area of ADE.
please help me with my work
When you are multiplying by a fraction, you have to flip the sign around and the fraction around. Fiona thought she was dividing in half but in reality, she should be multiplying by 2. 1/2 flipped around is 2/1 which equals 2. And since you switch the division sign to a multiplication sign, the new equation will be 48x2. Which equals 96
Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?
Need help on this!! 10 points!!!
Answer:
The answer is B
Can someone help me solving this problem? I'm confuse so I want help..
question :
a) The length and breadth of a rectangular room are 10m and 8m respectively. How many pieces of carpet 5m long and 2m wide are required to cover it's floor?
Please help me solving this problem !
Answer: 8
Step-by-step explanation:
HELP ME !
Please!
Which of the following tables represents a function?
What number should be subtracted from -3/4 to get 5/6?
Answer:
Let that rational number to be subtracted be x.Given,-5/6 - x = 4/9= - x = 4/9+5/6= - x = 23/18x = - 23/18.
Step-by-step explanation:
According to the number line, what is the distance between points A and B?
0 6 units
7 units
O 12 units
O 14 units
Answer:
14 units
Step-by-step explanation:
A = - 2, B = 12
Therefore,
d(A, B) = 12 - (-2) = 12 + 2 = 14 units
Choose the appropriate word or phrase from the drop down menu to complete the sentences: The mean of the quantitative variable of interest in the population is called the [ Select ] . The mean of the quantitative variable of interest in the sample is called the [ Select ] . The standard deviation of the quantitative variable of interest in the population is called the [ Select ] . The standard deviation of the quantitative variable of interest in the sample is called the [ Select ] .
Answer:
1. Population mean
2. Sample mean
3. Population standard deviation
4. Sample standard deviation
Step-by-step explanation:
Required
Complete the gaps
The answer is self-explanatory.
All you need to do in this question is to look for the keywords (mean/standard deviation) and (population/sample).
In addition, the symbol of the parameters are:
1. Population mean [tex]\mu[/tex]
2. Sample mean [tex]\bar x[/tex]
3. Population standard deviation [tex]\sigma[/tex]
4. Sample standard deviation [tex]\sigma_x[/tex]
the area of the room is 234 square feet. the length of the room is 18 feet. what is the width, in feet, of the room?
Answer:
13 feet
Step-by-step explanation:
the width = 234/18 = 13 feet
Which of the following values of r will result in a true statement when substituted into the given equation?
2(4r + 4) = -16
A. r = -3
B. r = -2
C. r = 2
D. r = 3
Consider the line 4x + 8y = -4.
a) What is the slope of a line perpendicular to this line?
b) What is the slope of a line parallel to this line?
Could anyone help me solve for x? I've tried multiple times and can't seem to get the answer that was given
Step-by-step explanation:
Try Photo-math app or Math-way app.
help please!! first answer gets marked brainliest!
Answer:
Answer 30
Step-by-step explanation:
if you need to solve or see step- by step explanation here's a link https://mathsolver.microsoft.com/en/solve-problem/%60sqrt%7B%2050%20%20%7D%20%20%20%60times%20%203%20%60sqrt%7B%202%20%20%7D
The equation for the circle below is x2 + y2 = 100. What is the length of the
circle's radius?
Answer:
Step-by-step explanation:
x²+y² =(Radius)²
x²+y² =10². So the radius is 10
Answer:
radius = 10
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ( where r is the radius )
x² + y² = 100 ← is in this form
with r² = 100 ( take the square root of both sides )
r = [tex]\sqrt{100}[/tex] = 10
Help me find answer please very much lost and its a test:(((will give brainiest or w.e it is
Answer:
x = 8
Step-by-step explanation:
Recall: according to the exterior angle theorem of a triangle, the sum of two interior angles equals the measure of the exterior angle it is opposite to.
m<MNO = (5x + 2)° => exterior angle of ∆LMN
m<NLM = (x + 10)° => interior angle of ∆LMN
m<LMN = (x + 16)° => interior angle of ∆LMN
Therefore:
m<MNO = m<NLM + m<LMN (exterior angle theorem of triangle)
Substitute
5x + 2 = x + 10 + x + 16
Add like terms
5x + 2 = 2x + 26
Collect like terms
5x - 2x = -2 + 26
3x = 24
Divide not sides by 3
x = 24/3
x = 8
How to solve this step by step n get the answer
Answer:
Answer 1 :-
[tex]\implies m_1 = -3 [/tex]
[tex]\implies y - intercept = 7 [/tex]
Answer 2 :-
[tex]\implies m_1 = -\dfrac{1}{2} [/tex]
[tex]\implies y - intercept = -4 [/tex]
Step-by-step explanation:
The Slope Intercept Form of the line is given to us . The equations given are ,
[tex]\implies y + 3x = 7 [/tex]
[tex]\implies y + \dfrac{1}{2}x = -4 [/tex]
Now we know the standard equation of slope intercept form , is
[tex]\implies y = mx + x [/tex]
Where ,
m is slopec is y intercept .So , we can write about the equations as ,
[tex]\implies y = -3x + 7 [/tex]
[tex]\implies y = - \dfrac{1}{2}x -4 [/tex]
On comparing to the Standard form ,
Answer 1 :-
[tex]\implies m_1 = -3 [/tex]
[tex]\implies y - intercept = 7 [/tex]
Answer 2 :-
[tex]\implies m_1 = -\dfrac{1}{2} [/tex]
[tex]\implies y - intercept = -4 [/tex]
the sum of the first n terms of a sequence is 20 - 10 / 2 ^ n - 1 find the sum of the first five terms
Answer:
[tex]S_5=\dfrac{170}{9}[/tex]
Step-by-step explanation:
Given that,
The sum of first n term of a sequence is[tex]S_n=20-\dfrac{10}{2n-1}[/tex]
We need to find the sum of the first 5 terms.
Put n = 5,
[tex]S_5=20-\dfrac{10}{2(5)-1}\\\\=20-\dfrac{10}{10-1}\\\\=20-\dfrac{10}{9}\\\\=\dfrac{170}{9}[/tex]
So, the sum of first 5 terms is equal to [tex]\dfrac{170}{9}[/tex].
If x = 3, y = -2 and z=
-5, evaluate 3y2-5x/3xz
Answer:
12-15/ - 45=
3/-45
=-15
Step by step explanation:
Find x. Round your answer to the nearest hundredth
Answer:
5.86
Step-by-step explanation:
Answer:
x = 5.86
Step-by-step explanation:
x / 15 = cos67°
x = 15cos67°
x = 5.86
Express (5a to the power 2) x (2b to the power 2) x (c) as a power of a product.
Answer:
50 a^2 b c^2
Step-by-step explanation:
I'm quite confused about your question, but I try my best. I have attached the explanation above. Hopefully this will help
PLS HELP I WILL GIVE BRANLIEST JUST PLS QUICKK
Charles has five 1 pound bags of different color sands. For an art project, he will use 3/8 pounds of each bag of sand to create a colorful sand art jar. How much sand will be in Charles's sand art jar?
WILL GIVE BRAINLIEST AND 20 POINTS!
PLEASE SHOW WORK1
f={(−2,−5),(3,−1),(1,−1)} and g={(1,1),(−1,−2),(−4,1),(−3,−1)}
Find (f+g)(1).
Answer:
[tex](f+g)(1)=0[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle f=\left\{(-2, -5), (3, -1), (1, -1)\right\}\text{ and } \\ \\ g = \left\{(1, 1), (-1, -2), (-4, 1), (-3, -1)\right\}[/tex]
And we want to find the value of (f + g)(1).
Recall that this is equivalent to:
[tex]=f(1)+g(1)[/tex]
According to the set, f(1) = -1 and g(1) = 1. Hence:
[tex]=(-1)+(1)=0[/tex]
