Answer:
Step-by-step explanation:
The exponential decay function is
[tex]v(t)=a(b)^t[/tex] where a is the initial value of the car, b is the rate of decay, and t is the time in years. Our rate of decay can also be written as (1 - r) where r is the depreciation in decimal form. Our equation looks like this:
[tex]v(t)=10000(1-.07)^t[/tex] which simplifies to
[tex]v(t)=10000(.93)^t[/tex] Now we can solve our problem for any number of years you'd like. We've been tasked to find the value of the car after 3 years, so:
[tex]v(t)=10000(.93)^3[/tex] which simplifies a bit to:
[tex]v(t)=10000(.804357)[/tex] so
v(t) = 8043.57
(50 points) Which graph is defined by the function given below?
y = (x - 3)(x - 3)
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Answer:
Graph B
Step-by-step explanation:
y = (x - 3)(x - 3)
The x intercepts are at 3
Since both intercepts are at 3, the vertex is at 3
We know it is an upwards facing parabola since it is quadratic and the constant out front is positive
please help me ASAP I WILL GIVE U BRAINLIEST!
Answer:
[tex]\sqrt{13}[/tex]
Step-by-step explanation:
Given a vector < x, y > then its magnitude is
[tex]\sqrt{x^2+y^2}[/tex]
Given the directed line segment
P (0, 0 ) → Q (3, 2 ) then
PQ = q - p = (3, 2 ) - (0, 0 ) = < 3 - 0, 2 - 0 > = < 3 , 2 >
| PQ | = [tex]\sqrt{3^2+2^2}[/tex] = [tex]\sqrt{9+4}[/tex] = [tex]\sqrt{13}[/tex]
Mrs. Oliver has 41 pairs of shoes and purchases two new pairs each month.
Mrs. Henryhand has 76 pairs of shoes and donates three pairs each month. Write
and solve an equation to determine in how many months will they have the same
amount of shoes?
A.35
B.-7
C.7
D.-35
Answer: C
Step-by-step explanation:
Simple they can't go into negative months so that can't be it. 35 months would put Mrs.Henryhard into the negatives and Mrs. Oliver into the 100 zone so it has too be C
every month (row) oliver you add 2
every month (row) for henry you take away 3
Adam has three pennies, two dimes, and one nickel. he also has one other coin that is different from the rest of his coins. how much could he have?
Answer:
Step 1. Read the problem. Make sure you understand all the words and ideas.
Step 2. Identify what you are looking for.
Step 3. Name what you are looking for.
Step 4. Translate into an equation. Restate the problem in one sentence. Then translate into an equation.
Step 5. Solve the equation using good algebra techniques.
Step 6. Check.
Step 7. Answer the question.
Step-by-step explanation:
Which of the following questions is a statistical question?
what are the answers, you didn't put a following
Answer:
How many hours do you spend at the pharmacy each month?
Step-by-step explanation:
GOt it right on test
What is the length of AC?
Geometry, see attachment.
Answer:
D.144
Step-by-step explanation:
[tex]\frac{7}{x} = \frac{84}{156-x}[/tex]
⇔ 84x = -7x + 1092
⇔ 91x = 1092
⇔ x = 12
⇒ AC = 156 - x = 156 - 12 = 144
Find the value of x
.
Answer:
x = 9
Step-by-step explanation:
5x + 27 = 45 + 3x
Subtract 3x from both sides
2x + 27 = 45
Subtract 27 from both sides
2x = 18
Divie both sides by 2
x = 9
Please Read the Attachment below
Answer:
Step-by-step explanation:
[tex]\frac{a -30y}{a^2 -100y^2} - \frac{10y}{10ay -a^2}[/tex]
[tex]=\frac{a-30y}{a^2 -(10y)^2} - \frac{10y}{-a(a -10y)}\\\\=\frac{a-30y}{(a -10y)(a+10y)} + \frac{10y}{a(a -10y)}\\\\=\frac{a(a-30y) +10y(a+10y)}{a(a -10y)(a+10y)} \\\\=\frac{a^2 - 30ay +10ay +100y^2}{a(a-10y)(a+10y)}\\\\=\frac{a^2 - 20ay +100y^2}{a(a-10y)(a+10y)}\\\\=\frac{(a-10y)^2}{a(a-10y)(a+10y)}\\\\=\frac{(a-10y)}{a(a+10y)}[/tex]
PLEASE PLEASE HELP!!!!!!!!
9514 1404 393
Answer:
326.6 square inches3402 square feetStep-by-step explanation:
The net will be a rectangle representing the lateral area. Its length will be 2π(4 in), the circumference of the box, and its height will be 9 in, the height of the box. On either side of that rectangle will be an 8-in diameter circle representing the ends of the box.
The total surface area is given by the formula ...
SA = 2πr(r +h)
For one box, the area is ...
SA = 2(3.14)(4 in)(4 in +9 in) ≈ 326.6 in² . . . . area of one box
__
There are 144 square inches in a square foot, so the area required for 1500 boxes is ...
(1500)(326.56 in²)/(144 in²/ft²) ≈ 3402 ft² . . . area of 1500 boxes
Select the correct answer. What is the completely factored form of this polynomial? 2x5 + 12x3 − 54x A. 2x(x2 + 3)(x + 9)(x − 9) B. 2x(x − 3)(x + 9) C. 2x(x2 + 3)(x + 3)(x − 3) D. 2x(x2 − 3)(x2 + 9)
Answer:
D
Step-by-step explanation:
2x(x^4 + 6x^2 - 27)
x^4 + 6x^2 - 27 = 0
x^2 = y
y^2+ 6y - 27 = 0
(y+9)(y-3) = 0
(x^2+9)(x^2-3) = 0
2x(x^2-3)(x^2+9)
Answer:
The answer is B
Help Please Pythagorean Theorem
Answer:
1. x = 15
2. x = 26
3. x = 7.6157731059 (you can round this answer to 8 or 7.6)
4. x = 11.7
5. x = 25
6. x = 1.4
7. x = 22.5
8. x = 38.4
9. x = 10.3 v = 5.8
For some of them, I had to use estimation.
I used this formula : a^2 + b^2 = c^2
A store ordered 650 candles at a total wholesale cost of $6,789.30. The soy candles cost $12.02 each and the specialty candles cost $9.12 each how many of each type of candle were ordered
Answer: 297 and 353
Step-by-step explanation:
Given
A store ordered 650 candles at a total cost of $6,789.30
The soy candles cost $12.02 each and the specialty candles cost $9.12
Suppose there x soy candles and y specialty candles
[tex]\therefore x+y=650\quad \ldost(i)\\12.02x+9.12y=6789.30\quad \ldots(ii)\\\text{Solve (i) and (ii)}[/tex]
[tex]x=297,y=353[/tex]
Store ordered 297 soy candles and 353 specialty candles.
A box containing 11 2/5 lbs of goldfish crackers was delivered to the kindhearted classes to be split evenly among 3 teachers. Mrs.Z received another carton with 1.2 lbs crackers from a parent. How many pounds of goldfish crackers does Mrs.Z have?
Answer: 5
Step-by-step explanation:
11 2/5 Divided by 3 is 19/5 (as a fraction) or 3.8
add 3.8 to 1.2.
Hope I could help.
The orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula P = a Superscript three-halves. If Saturn’s orbital period is 29.5 years, what is its distance from the sun?
Answer:
9.54731702 astronomical units
Step-by-step explanation:
[tex]P=a^{\frac{3}{2} }[/tex]
Substitute this value in the equation above:
[tex]29.5=a^{\frac{3}{2} }[/tex]
⇒ [tex](29.5)^{\frac{3}{2} } =a[/tex]
⇒ [tex]a=9.54731702[/tex] [tex]astronomical[/tex] [tex]units[/tex]
Hence, its distance from the sun is 9.54731702 astronomical units.
Answer:
its a
Step-by-step explanation:
on edge 2022
If ∠4 = 98°, then ∠3 = ?
look at image
Step-by-step explanation:
∠4 = ∠1 & ∠2 = ∠3
360 - 2(98) = ∠2 + ∠3
∠3 = 164/2
∠3 = 82°
[tex]\huge\bold{Given :}[/tex]
Angle 4 = 98°
[tex]\huge\bold{To\:find :}[/tex]
The measure of angle 3.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {∠\:3\:=\:82° }}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
We know that,
[tex]\sf\pink{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}[/tex]
➪ ∠ 3 + ∠ 4 = 180°
➪ ∠ 3 + 98° = 180°
➪ ∠ 3 = 180° - 98°
➪ ∠ 3 = 82°
Therefore, the measure of ∠ 3 is 82°.
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
∠ 3+ ∠ 4 = 180°
✒ 82° + 98° = 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.
[tex]\boxed{Hence\:verified.}[/tex]
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♨}}}}}[/tex]
helppp me, it’s my retake
Use your value of x to find the measure of angle n
Please help me
Answer:
Hello! answer: angle n is. 51
Step-by-step explanation:
This is a complementary angle meaning it will add up to 90 degrees so...
3 × 8 = 24 24 + 15 = 39
2 × 8 = 16 16 + 35 = 51
39 + 51 = 90 therefore angle n is 51 hope that helps!
64,-48, 36, -27
Which formula can be used to describe the
Sequence?
O f(x + 1) = 3/4f(x)
o f(x + 1) = -3/4f(x)
O f(x) = f(x + 1)
O f(x) = -f(x + 1)
Mark this and retum
Save and Exit
Next
Submit
Answer:
Step-by-step explanation:
The first term of the given sequence is a(1) = 64. Each succeeding term is found by multiplying the present one by (-3/4), and so (-3/4) is the common ratio. Then the geometric sequence represented here is
a(n) = a(1)*(-3/4)^(n - 1), or, specifically,
a(n) = 64*(-3/4)^(n - 1)
Alternatively: a(n) = a(n - 1)*(-3/4). or a(n) = (-3/4)a(n - 1)
The sequence can be described by the formula f(x + 1) = 3/4f(x). According to this formula, each phrase in the sequence is 3/4 times the one before it. Therefore, the correct option is A.
What is Sequence?A list of numbers or objects that follow a certain pattern or rule is referred to in mathematics as a sequence. Unless otherwise stated, a sequence consists of an infinite number of terms, which are the individual items that make up the sequence.
Many mathematical disciplines, such as calculus, number theory, and statistics, make use of sequences. Mathematical, geometric and Fibonacci sequences are some examples of sequences. The sequence can be described by the formula f(x + 1) = 3/4f(x). According to this formula, each phrase in the sequence is 3/4 times the one before it.
Therefore, the correct option is A.
Learn more about Sequence, here:
https://brainly.com/question/30262438
#SPJ7
Given the triangle below, what is RS?
The measure of RS to the nearest hundredth is 23.09 m
SOH CAH TOA identityFrom the given figure, we have the following parameters
Adjacent to <R = RS
hypotenuse = 20cm
Using the theorem;
cos theta = opp/hyp
cos<R = RS/20
cos 30 = RS/20
RS = 20/cos30
RS =23.094 m
Hence the measure of RS to the nearest hundredth is 23.09 m
Learn more on SOH CAH TOA here: https://brainly.com/question/20734777
Which ratio is equivalent to the ratio 32:40?
A 16 to 20
B 30:16
C 16 to 30
D 20:16
Answer:
A, 16 to 20
Step-by-step explanation:
32 / 2 = 16
40 / 2 = 20
rhombus wxyz with vertices w(1 0) x(4,-1) y(5,-4) and z(2,-3)
Answer:
W 2,3
X 5,3
Y 1,2
Z 8,4
Step-by-step explanation:
The coordinates of the Rhombus after the dilation is W' ( 3 , 0 ) , X' ( 12 , -3 ) , Y' ( 15 , -12 ) and Z' ( 6 , -9 )
What is Dilation?Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent
The result of dilation is that the shapes and boundaries of objects in the input image are expanded or thickened. It is often used in conjunction with other morphological operations such as erosion, opening, and closing to manipulate and enhance images.
Given data ,
Let the coordinates of the rhombus be represented as WXYZ
where W' ( 1 , 0 ) , X ( 4 , -1 ) , Y ( 5 , -4 ) and Z ( 2 , -3 )
Now , the dilation scale factor is k = 3 centered at origin
So , result of this transformation is an image with the same shape as the original
The coordinates of the dilated figure is W'X'Y'Z'
where W' ( 3 , 0 ) , X' ( 12 , -3 ) , Y' ( 15 , -12 ) and Z' ( 6 , -9 )
Hence , the dilation is solved
To learn more about dilation click :
https://brainly.com/question/13176891
#SPJ2
4.evaluate the following,
giving your answers correct to 3 significant
figures.
(a) 12.3 x 45
(b) 6.7 over 8.9
Answer:
(a) 12.3 x 45 = 554
(b) 6.7/8.9 = 0.753
Write an explicit formula for an the nth term of the sequence 22,19,16
Answer:
Uₙ = 22 - 3(n - 1)
these are the high temperature for one week in july .
sunday 74
monday 75
tuesday 80
wednesday 76
thursday 75
friday 81
saturday 78
whats the mean high temperature for this week
A. 74
B. 75
C. 76
D. 77
E. 78
Answer:
D.77
Step-by-step explanation:
Since the mean is the average first you
Add up all the values
74+75+80+76+75+81+78 = 539
Divide the product by the number of values
539÷7=77
Please help with this question:
Which number represents the probability of an event that is likely to occur?
A. 0.16
B. 0.03
C. 1.5
D. 0.79
Answer:
D. 0.79
Step-by-step explanation:
The probability of an event is a number between 0 and 1, where, 0 indicates impossibility of the event and 1 indicates certainty. The higher the probability of an event, the more likely it is that the event will occur.
so, the answer is D. 0.79
Answer:
As for the others, probability 0 means that the even't cannot happen, whereas probability 1 means that event is certain. So, the bigger the number, the greater the probability. the greatest number represents the event that is more likely to occur between0 ≤ P(E) ≤ 1.
Given
1.5>0.79>0.16>0.03
So
0.79 is a required answer.
Put these numbers in order from greatest to least.
0.24,0.57,0.87, and 3/5
Answer:
These are the numbers in order from greatest to least.
0.24, 0.57, 3/5, and 0.87
Step-by-step explanation:
Hope this is helpful.
Which of the following best describes the graph of the polynomial function
below
O A. The graph has one zero.
B. The graph has two zeros.
O C. The graph has infinitely many zeros.
D. The graph has no zeros.
Answer:
A
Step-by-step explanation:
A zero in a polynomial function is what the variable is equal to to make the function equal to 0. In the graph, there is only one point that is on the x, 0. Meaning there is only one zero.
can someone please help with either? will mark brainliest
Answer:
a
Step-by-step explanation:
i just did it
While riding her bike to the ocean and back home 5 times, Kimberly timed herself at 53min, 48min, 56min, 54min, and 45min. She had set a goal of averaging 53 minutes for her rides. How many minutes will she need to spend on her sixth ride to attain her goal?
Answer:
Kim will need to spend 67 minutes on her sixth ride
Step-by-step explanation:
Represent the number of minutes of her sixth ride by m.
Then the average number of minutes is
53 + 43 + 56 + 54 + 45 + m
---------------------------------------- = 53
6
Multiplying both sides of this equation by 6 yields
6(53 + 43 + 56 + 54 + 45 + m)
--------------------------------------------- = 6(53)
6
which simplifies to
251 + m
---------------- = 318
or 251 + m = 318. Subtract 251 from both sides to obtain the value of m:
m = 318 - 251 = 67
Kim will need to spend 67 minutes on her sixth ride to attain an average ride length of 53 minutes.i
Can someone help me with this one?
Answer:
B. 2x - 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 3x - 1
g(x) = x + 2
(f - g)(x) is f(x) - g(x)
Step 2: Find
Substitute in functions: (f - g)(x) = 3x - 1 - (x + 2)[Distributive Property] Distribute negative: (f - g)(x) = 3x - 1 - x - 2[Subtraction] Combine like terms (x): (f - g)(x) = 2x - 1 - 2[Subtraction] Combine like terms: (f - g)(x) = 2x - 3