Answer:
x=3
Step-by-step explanation:
5x+2=7x−4
5x+2−7x=7x−4−7x
−2x+2=−4
−2x+2−2=−4−2
−2x=−6
-2x/2=-6/2
x=3
Please help me please
Jerome deposits $3,700 in a certificate of deposit that pays 1.8% interest, compounded
annually. How much interest does Jerome earn in 1 year?
Answer:
$66.60
Step-by-step explanation:
Find out how much money Jerome earns from the 1.8% interest.
100% = 3700
1% = 3700 ÷ 100 = 37
1.8% = 37 x 1.8 = 66.60
(Final answer)
An observer (O) spots a plane (P) taking off from a local airport and flying at a 23° angle horizontal to her line of sight and located directly above a tower (T). The observer also notices a bird (B) circling directly above her. If the distance from the plane (P) to the tower (T) is 5,000 ft., how far is the bird (B) from the plane (P)? Round to the nearest whole number. (4 points)
Two parallel lines B P and O T with a transversal running through P and O. Dotted red line from P to T and from B to O. Angle P
a
5429 feet
b
9063 feet
c
11,779 feet
d
12,788 feet
Answer:
your answer C.)11,779 feet
Step-by-step explanation:
also the other ch.at got max out....
Answer:
C.)11,779 feet
Step-by-step explanation:
I took the test and got it correct!
i need help with ratios of special triangles i was able to teach myself how to do the short leg and hyp but i cant figure out how to do the long leg on a 60 30 90
the hypotenuse is equal to twice the length of the shorter leg, which is the side across from the 30 degree angle. the longer leg, which is across from the 60 degree angle, is equal to multiplying the shorter leg by the square root of 3. so quite basically, hypotenuse = short leg square root, long leg = short leg squared :3 ( ex: short leg is 2 , 2^2 = 4, 2^3= 6 )
if a gradient is 0, then what is the equation for it?
Answer:
y = c
Step-by-step explanation:
A line with a gradient of 0 is a horizontal line, parallel to the x- axis
Its equation is y = c
where c is the value of the y- coordinates the line passes through.
which of the following choices is a possible length for DF? 17 39 19
Answer:
39
Step-by-step explanation:
Please help don’t know answer
Answer: Slope: 2/3
y-intercept: 9
Step-by-step explanation:
PLEASEEEEEEEEEE HELPPPPPPPPPPPPp
It is in the picture.
Answer: D
Step-by-step explanation:
Answer:
D is the answer
Step-by-step explanation:
PLEASE EXPLAIN (Arithmetic Sequences )
If u59 = 1/10 and u100 = 1 19/20 for an arithmetic sequence, find the first term and the common difference
If I was given the explicit formula how to I find the recursive formula?
9514 1404 393
Answer:
solve for f(n) in terms of f(n-1)
Step-by-step explanation:
In general, you solve for f(n) in terms of f(n-k) for k = 1, 2, 3, ....
__
Usually, such questions arise in the context of arithmetic or geometric sequences.
Arithmetic sequence
The explicit formula for an arithmetic sequence has the general form ...
a(n) = a(1) +d(n -1) . . . . . . . first term a(1); common difference d
The recursive formula for the same arithmetic sequence will look like ...
a(1) = a(1) . . . . . . . the first term is the first term
a(n) = a(n-1) +d . . . the successive terms are found by adding the common difference to the term before
__
Note: The explicit formula may be given as the linear equation a(n) = dn +b. Then the first term is a(1) = d+b.
__
Geometric sequence
The explicit formula of a geometric sequence has the general form ...
a(n) = a(1)·r^(n -1) . . . . . . first term a(1); common ratio r
The recursive formula for the same geometric sequence will be ...
a(1) = a(1) . . . . . . the first term is the first term
a(n) = a(n-1)·r . . . the successive terms are found by multiplying the term before by the common ratio
__
Note: The explicit formula may be given as the exponential equation a(n) = k·r^n. Then the first term is a(1) = kr.
__
Other sequences
Suppose you're given the quadratic sequence ...
a(n) = pn^2 +qn +r
Since the sequence is known to be quadratic (polynomial degree 2), we expect that we will only need the two previous terms a(n-1) and a(n-2). Effectively, we want to solve ...
a(n) = c·a(n-1) +d·a(n-2) +e
for the values c, d, and e. Doing that, we find ...
(c, d, e) = (2, -1, 2p)
So, the recursive relation is ...
a(1) = p +q +r
a(2) = 4p +2q +r
a(n) = 2a(n-1) -a(n-2) +2p
__
Additional comment
The basic idea is to write the expression for a(n) in terms of terms a(n-1), a(n-2) and so on. That will be easier for polynomial sequences than for sequences of arbitrary form.
There are some known translations between explicit and recursive formulas for different kinds of sequences, as we have shown above. If you recognize the sequence you have as being of a form with a known translation, then you would make use of that known translation. (For example, Fibonacci-like sequences are originally defined as recursive, but have explicit formulas of a somewhat complicated nature. If you recognize the form, translation from the explicit formula may be easy. If you must derive the recursive relation from the explicit formula, you may be in for a lot of work.)
What is the complement of 45?
Answer:
45°
Step-by-step explanation:
If sum of two angles is 90° , then they are called complementary angles.
Complement of 45 = 90 - 45 = 45
In 2009, a town's population was about 9,000 residents. In 2014, the population was about 12,500 residents. Which linear model represents the town's population, p, as a function of t, the time in years after 2007
Answer:
Population function (Based on 2007) = 7,600 + 700n
Step-by-step explanation:
Given:
Population in 2009 = 9,000
Population in 2014 = 12,500
Computation:
Increase in population per year = [12,500 - 9,000] / 5
Increase in population per year = 700
Population in 2007 = 9,000 - [2 x 700]
Population in 2007 = 7,600
Population function (Based on 2007) = 7,600 + 700n
n = number of year
Answer:
p(t)=700t+7600
Step-by-step explanation:
40+40x0+1=
a.81
b.21
c.41
Answer:
C.41
Step-by-step explanation:
Thats the answer!!
What is 1 1/2 divided by 2
Answer:
3/4
Step-by-step explanation:
1 1/2 can be expressed as an improper fraction 3/2
hence
1 1/2 ÷ 2
= 3/2 ÷ 2
= 3/2 x 1/2
= 3/4
Which inequality is equivalent to this one? I WILL GIVE BRAINLEIST
y minus 8 less-than-or-equal-to negative 2
y minus 8 + 8 greater-than-or-equal-to negative 2 + 8
y minus 8 + 8 less-than negative 2 + 8
y minus 8 + 2 less-than-or-equal-to negative 2 + 8
y minus 8 + 2 less-than-or-equal-to negative 2 + 2
Answer:
y minus 8 + 2 less-than-or-equal-to negative 2 + 2
Step-by-step explanation:
Which inequality is equivalent to this one?
y minus 8 less-than-or-equal-to negative 2
y minus 8 + 8 greater-than-or-equal-to negative 2 + 8
y minus 8 + 8 less-than negative 2 + 8
y minus 8 + 2 less-than-or-equal-to negative 2 + 8
y minus 8 + 2 less-than-or-equal-to negative 2 + 2
Take the last option:
y minus 8 + 2 less-than-or-equal-to negative 2 + 2
remove the +2 on each side to get
y minus 8 less-than-or-equal-to negative 2
Here is an isosceles triangle.
Diagram NOT
accurately drawn
18 cm
18 cm
14 cm
Work out the area of the triangle.
Give your answer correct to 3 significant figures.
(4 marks)
A≈116.06, the area of the triangle.
What is area of isosceles triangle?In geometry, an isosceles triangle is a triangle that has two sides of equal length. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral triangle as a special case.
Area: ½ × base × height
here, we have,
the side= 18, 18
base = 14
here, it is a isosceles triangle.
So, using the formula ,
we get,
area= 116.06
hence, A≈116.06, the area of the triangle.
To learn more on triangle area click:
brainly.com/question/19305981
#SPJ2
Jireh flew his crop duster from the ground to an altitude of 3,500 feet. He continued to fly at that height for 20 minutes until he descended to 2,000 feet. He then flew back to the ground and landed his plane.
Which part of the scenario is best represented by a linear increasing interval?
Jireh flew his crop duster from the ground to an altitude of 3,500 feet.
Jireh flew at 3,500 feet for 20 minutes.
Jireh descended to 2,000 feet.
Jireh landed his plane.
Answer: Jireh flew his crop duster from the ground to an altitude of 3,500 feet.
Step-by-step explanation:
That is an example of an increasing interval.
Answer:
a
Step-by-step explanation:
please help me prove the identity
Answer:
[tex]\frac{1-\tan x }{1+\cot x}[/tex]
Step-by-step explanation:
Let [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex], we proceed to prove the given identity by trigonometric and algebraic means:
1) [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex] Given
2) [tex]\frac{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x-1}{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x+1}[/tex] [tex]\sin 2x = 2\cdot \sin x \cdot \cos x[/tex]/[tex]\cos 2x = \cos^{2}x - \sin^{2}x[/tex]
3) [tex]\frac{2\cdot \sin x \cdot \cos x -\sin^{2}x-(1-\cos^{2}x)}{2\cdot \sin x\cdot \cos x +\cos^{2}x+(1-\sin^{2}x)}[/tex] Commutative, associative and distributive properties/[tex]-a = (-1)\cdot a[/tex]
4) [tex]\frac{2\cdot \sin x \cdot \cos x -2\cdot \sin^{2}x}{2\cdot \sin x \cdot \cos x +2\cdot \cos^{2}x}[/tex] [tex]\sin^{2}x + \cos^{2}x = 1[/tex]
5) [tex]\frac{(2\cdot \sin x)\cdot (\cos x-\sin x)}{(2\cdot \cos x)\cdot (\sin x +\cos x)}[/tex] Distributive and associative properties.
6) [tex]\frac{\sin x\cdot (\cos x-\sin x)}{\cos x\cdot (\sin x +\cos x)}[/tex] Existence of multiplicative inverse/Commutative and modulative properties.
7) [tex]\frac{\frac{\cos x -\sin x}{\cos x} }{\frac{\sin x + \cos x}{\sin x} }[/tex] [tex]\frac{\frac{x}{y} }{\frac{w}{z} } = \frac{x\cdot z}{y\cdot w}[/tex]
8) [tex]\frac{\frac{\cos x}{\cos x}-\frac{\sin x}{\cos x} }{\frac{\sin x}{\sin x}+\frac{\cos x}{\sin x} }[/tex] [tex]\frac{x+y}{w} = \frac{x}{w} + \frac{y}{w}[/tex]
9) [tex]\frac{1-\tan x }{1+\cot x}[/tex] Existence of multiplicative inverse/[tex]\tan x = \frac{\sin x}{\cos x}[/tex]/[tex]\cot x = \frac{\cos x}{\sin x}[/tex]/Result
f = {(x, y): y = 2x + 3} and D= {2, 4, 6} then, find Range of f
Answer:
R= {7, 11, 15}
Step-by-step explanation:
Since we already know what the Domain is for f (2, 4, 6) we can use that to get the range
Since the domain is also x let's replace x for 2
y=2(2)+3= 4+3=7
One of the range is 7
Replace x for 4
y=2(4)+3= 8+3= 11
One of the other range is 11
Replace x for 6
y= 2(6)+3= 12+3= 15
The last range is 15
So the range is R= {7, 11, 15}
Which picture shows a rotation of the flag?
Answer:
it has no pic
Step-by-step explanation:
Help! I'm not sure how to do it
find the value of " m " of which
5^m÷5-³=5^5
Answer:
m=2Step-by-step explanation:
to understand thisyou need to know about:law of exponentPEMDASgiven:[tex] \frac{ {5}^{m} }{ {5}^{ - 3} } = {5}^{5} [/tex]tips and formulas:[tex] \frac{ {x}^{a} }{ {x}^{b} } = {x}^{a - b} [/tex][tex] {x}^{a} = {x}^{b} < = > a = b[/tex]let's solve:[tex] \frac{ {5}^{m} }{ {5}^{ - 3} } = {5}^{5} [/tex]
[tex] {5}^{m - ( - 3)} = {5}^{5} [/tex]
[tex]m + 3 = 5[/tex]
[tex]m = 2[/tex]
Answer:
[tex] {5}^{m} \div {5}^{ (- 3)} = {5}^{5} \\ {5}^{m} \div \frac{1}{ {5}^{3} }= {5}^{5} \\ {5}^{m} \times {5}^{3} = {5}^{5} \\ {5}^{m} = \frac{ {5}^{5} }{ {5}^{3} } \\ {5}^{m} = {5}^{2} \\ \boxed{m = 2}[/tex]
★ m=2 is the right answer.What is 6 1/3−1 2/3?
Answer:
4 2/3!
Step-by-step explanation:
Answer: [tex]4 \frac{2}{3}[/tex]
Step-by-step explanation:
Lets start by subtracting 6 by 1.
6 - 1 = 5
Now we need to subtract 1/3 by 2/3. Which means we will need to take one from the 5 and add it to the 1/3. So we get [tex]1 \frac{1}{3}[/tex]. Now we subtract 1 1/3 by 2/3. The answer to that is 2/3.
So our answer is 4 2/3
What is the percent error for a measurement of 5 yards?
Write your answer using a percent sign (%). For example, 0.5%, 12.7%, or 56%.
20 POINTS
which expression is equivalent to (4") - 3?
A(4 + 4 + 4) - 3
B(4.4.4) - 3
C(3.3.3.3) - 3
D (3+3+3 + 3) - 3
The value is 48 points
Answer:
3+3+3+3
Step-by-step explanation:
it's ans is 3+3+3
Answer:
I think the answer is D.
sorry if I'm wrong..
A new car is purchased for 19000 dollars. The value of the car depreciates at 11.25% per year. What will the value of the car be, to the nearest cent, after 14 years.
Answer:
$3573. 64
Step-by-step explanation:
Convert 11.25% to the decimal fraction 0.1125. Then subtract this result from 1.0000: 0.8875.
After 14 years, the formerly $19000 car will have the value
$19000(0.8875)^14 = $3573. 64
Neeeeddddd helllppp nowwwwww!!!!
Answer:
the area is 670.32 but it's not in there
-10,-17, -24, -31, -38, ...
a) Common Difference:
b) Recursive Formula:
c) Explicit Formula:
d) 843
Which of the following best describes the pattern in the diagram as you move
from left to right?
Answer:Each step in this pattern increases by on block
Step-by-step explanation:
1-1 block
1-2 block
3-3
4-4
15 songs that are the saame lenght are preformed during a concert. if the concert lasts 27 minutes and 30 seconds, how long is each song?