Answer:
theta = 36.87
Step-by-step explanation:
E.A= (4i+3j).5i= 20
|E| |A| =
[tex] | e| |a| = \sqrt{4 ^{2} + {3}^{2} } \times 5 = 25[/tex]
[tex] \cos(theta) = \frac{e.a}{ |e ||a | } = \frac{20}{25} = \frac{4}{5} \\ theta = \cos ^{ - 1} ( {.8} ) = 36.87 [/tex]
Graph the following features: Y-intercept = 1 Slope 3/2
48 is what percent of 12
Answer:
48 is 25% of 12
Step-by-step explanation:
The ratio of men to women working for a company is to 8 to 5 . If there are employees total 208 , how many women work for the company?
Answer:
130
ratio of woman to man is : 5/8
5/8×208=130
Answer:
130 women
Step-by-step explanation:
3 men to 5 women:
We can add the variable x:
3x + 5x = 208
8x = 208
x = 26
3 * 26 = 78 men,
5 * 26 = 130 women.
Use the distributive property to write an experssion that is equalent to 7(3x-4)
Answer:
21x-28
Step-by-step explanation:
the distributive property states that a(bx+c) is equal to abx+ac. in this expression, a is 7, b is 3, and c is negative 4. ab is 7*3, which is 21, so abx is 21x. ac is 7*-4, which is -28. combining these two results in 21x-28.
Answer:
21x-28
Step-by-step explanation:
distribute the 7 to the 3x & the -4
you get 21x-28
A boat is heading towards a lighthouse, whose beacon-light is 134 feet above the
water. From point A, the boat's crew measures the angle of elevation to the beacon,
16°, before they draw closer. They measure the angle of elevation a second time from
point B at some later time to be 21°. Find the distance from point A to point B.
Round your answer to the nearest foot if necessary.
this may help you very much
QUESTION 15 PLEASE HELP ME ASAPP
Answer:
The line shifted up 8 units
Step-by-step explanation:
Help me I need the math problem
Answer:
y=4x-3
Step-by-step explanation:
Answer:
DO i care... no ask your dam teacher won der why u aint pass
Step-by-step explanation:
I need help ASAPPP this is very important
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
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
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Area of quarter = 1/4 × Area of whole circle
that is ~
[tex] \sf \dfrac{1}{4} \times \pi {r}^{2} [/tex][tex] \sf \dfrac{1}{4} \times 3.14 \times 7 \times 7[/tex][tex] \sf \dfrac{153.86}{4} [/tex][tex] \sf \approx38.46 \: \: cm {}^{2} [/tex]
Jen is on the platform of her boat. She sights the top of a lighthouse at an angle of 30º as shown below. She knows that the height of the lighthouse is 50 meters.
How far is Jen from the base of the lighthouse, in meters?
The distance Jen is from the base of the lighthouse is 86.6 meters.
Trigonometric ratio is used to show the relationship between the sides of a and angles of a right angled triangle.
Let d represent the distance Jen is from the base of the lighthouse.
Using trigonometric ratios:
[tex]tan(30)=\frac{50}{d} \\\\d=\frac{50}{tan(30)} \\\\d=86.6\ m[/tex]
The distance Jen is from the base of the lighthouse is 86.6 meters.
Find out more on Trigonometric ratio at: https://brainly.com/question/10417664
what is an equation of the line that passes through points (-7,-5) and (-7,-2)?
Answer:
I think I've answered this question already.
Step-by-step explanation:
find the following integrals. need help plssss
Answer:
1) -15/4
2) -15/2
Step-by-step explanation:
1) Let u=4t. Then the limits become u=4(0)=0 and u=4(4)=16. Also du=4 dt upon differentiating the equation.
So the integral can be written as
Integral( 1/4 f(u) , u=0 to u=16)
We are given Integral( f(u) , u=0 to u=16) is -15. So a fourth of that is our answer for the first question.
2) Let u=t^2. Then the limits become u=(0)^2=0 and u=(4)^2=16. Also upon differentiating we obtain equation du =2 t dt.
So the integral becomes
Integral( 1/2 f(u) , u=0 to u=16).
We are given Integral( f(u) , u=0 to u=16) is -15. So a half of that is our answer for the second question.
78300 rounded to the nearest hundred HELP 100 POINTS
A 78346
B78273
C78251
D78389
E78249
Answer:
Its 78,300
Step-by-step explanation:
Define the following sequence recursively:
4, 15, 26, 37, ...
Answer:
a) f(n) = 11 + f(n - 1)
Step-by-step explanation:
f(2) = 11 + 4 = 15
f(3) = 11 + 15 = 26
f(4) = 11 + 26 = 37
f(5) = 11 + 37 = 48
What is the equation in standard form of the line y= 1/9x +5
Answer:
answer below
Step-by-step explanation:
9(y = 1/9x + 5)
9y = x + 45
-x + 9y = 45
x - 9y = -45
20 giraffes were introduced to a certain safari and it is expected to double its population every 5 years. How many giraffes will exist after 2 years? How long it would take to increase their population to 60?
It would take 7.9 years to increase their population to 60.
An exponential function is in the form:
y = abˣ
where a is the initial value of y and b is the multiplier.
Let y represent the number of giraffes after x years.
From the question:
a = 20, b = 2, hence
[tex]y=20(2)^\frac{x}{5} \\\\for\ x=2:\\\\y=20(2)^\frac{2}{5} =26\\\\For\ y=60:\\\\60=20(2)^\frac{x}{5} \\\\2^\frac{x}{5} =3\\\\x=7.9\ years[/tex]
It would take 7.9 years to increase their population to 60.
Find out more on exponential function at: https://brainly.com/question/2456547
Which of these is opposed by kinetic friction?
Select one:
a.
a cat standing in a yard
b.
a book sitting on a table
c.
a box sliding on a floor
d.
a child leaning on a building
Answer: c
Step-by-step explanation:
Answer: C
Step-by-step explanation:
Can someone please explain step by step on how I get my answer of [30% of 15?]
Answer: 4.5
Step-by-step explanation:
30% is equal to 30/100, which is 0.3
If you times 0.3 by 15, you will get 30% of 15
Therefore the answer would be 0.3 x 15 = 4.5
Which ones colder?
-5 degrees Celsius or
-10 degrees Celsius
Answer:
-10 degrees Celsius
Step-by-step explanation:
The more negative a temperature in degrees Celsius is, the colder it is.
WILL GIVE BRAINLIEST
Answer:
it is d
Step-by-step explanation:
A cafeteria sells 30 drinks every 15 minutes. How many drinks can be sold in one hour?
Answer:30 drinks
Step-by-step explanation:
License plates in a particular state display 3 letters followed by 3 numbers. How many different license plates can be manufactured? (Repetitions are allowed.)
Using the fundamental counting theorem, it is found that 17,576,000 different license plates can be manufactured.
Fundamental counting theorem:
States that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem:
Since repetition is allowed, for the 3 letters, there are 26 outcomes, hence [tex]n_1 = n_2 = n_3 = 26[/tex].For the 3 numbers, there are 10 outcomes, hence [tex]n_4 = n_5 = n_6 = 10[/tex]Then:
[tex]N = 26^3 \times 10^3 = 17576000[/tex]
17,576,000 different license plates can be manufactured.
To learn more about the fundamental counting theorem, you can take a look at https://brainly.com/question/24314866
How many types of windows does Python use? Correct answer will get brainliest.
a.
four
b.
five
c.
one
d.
two
Answer:
A. 4
Step-by-step explanation:
i guess it A. 4 i dunno
Four types
Explanation:-The python supported windows starts form windows 7 (32bit)All types of python windows are
Windows 7Windows 8Windows 10Windows 11Let S1= 1, S2=2+3, S3= 4+5+6
Find S7
Find S17
Find Sn
Answer:
S7 = 175S17 = 2465Sn = 1/2(n³ +n)Step-by-step explanation:
The progression of sums is ...
1, 5, 15, 34, 65, ...
So, first differences are ...
4, 10, 19, 31
Second differences are ...
6, 9, 12, ...
Third differences are constant:
3, 3, ...
This means the expression for Sn will be a cubic expression. If dn is the first of the n-th differences, then the equation can be written as ...
Sn = S1 +(n -1)(d1 +(n -2)/2(d2 +(n -3)/3(d3)))
And this simplifies a little bit to ...
Sn = 1 +(n -1)(4 +(n -2)(n +3)/2)
In simpler form, we have ...
Sn = 1/2(n³ +n)
Then the two terms we're interested in are ...
S7 = (1/2)(7³ +7) = 175
S17 = (1/2)(17³ +17) = 2465
Each term Sₙ consists of the sum of a triangular number of terms, which are given by
[tex]T_n = \displaystyle \sum_{k=1}^n k = 1 + 2 + 3 + \cdots + n = \frac{n(n+1)}2[/tex]
The triangular numbers are given recursively for n ≥ 1 by
[tex]T_n = T_{n-1} + n[/tex]
starting with T₀ = 0.
For example,
• S₁ = 1 and
[tex]\displaystyle S_1 = \sum_{k=T_0+1}^{T_1} k = \sum_{k=1}^1 k = 1[/tex]
• S₂ = 2 + 3 and
[tex]\displaystyle S_2 = \sum_{k=T_1+1}^{T_2} k = \sum_{k=2}^3 k = 2 + 3[/tex]
• S₃ = 4 + 5 + 6 and
[tex]\displaystyle S_3 = \sum_{k=T_2+1}^{T_3} k = \sum_{k=4}^6 k = 4 + 5 + 6[/tex]
Then the n-th term of the sequence we're considering is
[tex]S_n = \displaystyle \sum_{k=T_{n-1}+1}^{T_n} k = \sum_{k=T_{n-1}+1}^{T_{n-1}+n} k[/tex]
Expanding this sum, we have
[tex]S_n = \left(T_{n-1}+1\right) + \left(T_{n-1}+2\right) + \left(T_{n-1}+3\right) + \cdots + \left(T_{n-1}+n\right)[/tex]
There are n terms on the right side, and hence n copies of [tex]T_{n-1}[/tex], and the rest of the terms make up the next triangular number [tex]T_n[/tex] :
[tex]S_n = nT_{n-1} + 1 + 2 + 3 + \cdots + n[/tex]
[tex]S_n = nT_{n-1} + \displaystyle \sum_{k=1}^n k[/tex]
[tex]S_n = nT_{n-1} + T_n[/tex]
We have a closed form for [tex]T_n[/tex], so we end up with
[tex]S_n = n \cdot \dfrac{(n-1)n}2 + \dfrac{n(n+1)}2 \implies \boxed{S_n=\dfrac{n^3+n}2}[/tex]
From here it's easy to find S₇ and S₁₇.
[tex]S_7 = \dfrac{7^3+7}2 \implies \boxed{S_7 = 175}[/tex]
[tex]S_{17} = \dfrac{17^3+17}2 \implies \boxed{S_{17} = 2465}[/tex]
desceibe how to determine the average rate of change between x=4 and x=6 for the function f(x)=2x^3 +4
[tex]slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ f(x)= 2x^3+4\qquad \begin{cases} x_1=4\\ x_2=6 \end{cases}\implies \cfrac{f(6)-f(4)}{6-4} \\\\\\ \cfrac{[2(6)^3+4]~~ -~~[2(4)^3+4]}{2}\implies \cfrac{436~~ -~~132}{2}\implies \cfrac{304}{2}\implies 152[/tex]
Ashleigh went to Cape Canaveral to watch the space shuttle take off. The solid rocket boosters are ejected after the shuttle passes through the threshold of space. This is scheduled to occur when the shuttle reaches a height of 354,200 feet. If Ashleigh is 10 miles from the launchpad, what will be the angle of elevation she has to look up to see the boosters ejected?
Help help help help math math
Step-by-step explanation:
Relation
Hope it correct!!!
Work out m and c for the line: y = 8 − x
m=-1 and c=8 for the line y = 8 − x
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given equation is y = 8 − x
This equation we can write in the form of slope intercept form
y=-x+8
y=(-1)x+8
Now compare the above equation with slope intercept form
m=-1 and c=8
Hence, m=-1 and c=8 for the line y = 8 − x
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URGENT PLEASE HELP simplify (3^8 / 3^5)^3
Determine whether a triangle with the given side lengths is a right triangle.
Answer:
See answer below.
Step-by-step explanation:
This is true for all right triangle a² + b² = c² were c = the largest number
9, 12, 15 A right triangle
21, 28, 35 A right triangle
9, 13, 16 Not a right triangle
10, 11, 15 Not a right triangle