Answer:
-11/4
(I think you meant -3/2 not -2/3 at the end there.)
Step-by-step explanation:
If it is arithmetic, it's going up or down by same number.
So we started with 7/2 and went down to 9/4.
If we can find how much it went down, then we can find the next term after -3/2.
Find difference
7/2-9/4
Find common denominator
14/4-9/4
5/4
So we are going down by 5/4 each time.
That means the following equations should ve true:
7/2-5/4=9/4
9/4-5/4=1
1-5/4=-1/4
-1/4-5/4=-3/2
And all of these are in fact true.
The next term in the sequence will be
-3/2-5/4.
Find common denominator
-6/4-5/4
-11/4
what are factors of the expression x^2-x-6?
A. (x+3)(x+2)
B. (x-3)(x-2)
C. (x+3)(x-2)
D. (x-3)(x+2)
Answer:
The answer is D. (x - 3) (x + 2)
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
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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
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
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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
Pre-calc, Review the table of values for function g(x). Which statement correctly explains whether Limit of g (x) as x approaches 3 exists? (image attached)
Answer:
[tex]\lim_{x \to 3} g(x) = DNE[/tex]
Step-by-step explanation:
Observations:
As x approaches 3 from the left side, f(x) approaches -1.6 As x approaches 3 from the right side, f(x) approaches 1.6Conclusion:
Because the right and left-side limits are not equal to each other, the limit does not existTherefore, [tex]\lim_{x \to 3} g(x) = DNE[/tex]Answer:
A.
Step-by-step explanation:
Got it right
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]
I need help please………….
9514 1404 393
Answer:
$409.86
Step-by-step explanation:
The markup multiplies the cost by 1+65% = 1.65. The tax multiplies the marked-up cost by 1+8% = 1.08. Then the final cost of the tent is ...
($230×1.65)×1.08) = $409.86 . . . total cost
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
What is the value of x in the below diagram?
(2 x + 2)
(x + 34)°
Answer:
Step-by-step explanation:
x+34+2x+2=180 degree (being liear pair)
3x+36=180
3x=180-36
x=144/3
x=48
Answer:
x + 34° + 2x + 2° = 180°
3x = 180° - 34° - 2°
3x = 144°|: 3
x = 48°
x + 34° = 82° and 2x + 2° = 50°
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 please help with either? will mark brainliest
Answer:
a
Step-by-step explanation:
i just did it
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 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
I need help with 23 and 21 please it’s due today!
Answer:
21 is A and 23 is D
Step-by-step explanation:
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
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 - 3The 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
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
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.
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
Three rays have a common vertex on a line. Write and solve equations to find the measures of m and n
Answer:
n = 90 - 62
n = 28º
m = 180 - (62 + n + 27)
m = 180 - (62 + 28 + 27)
m = 180 - 117
m = 63º
Write an explicit formula for an the nth term of the sequence 22,19,16
Answer:
Uₙ = 22 - 3(n - 1)
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
If f(1) =4 and f(n) = -4f(n-1) + n then find the value of f(5)
======================================================
Work Shown:
We use the first term to build to the second term.
Plug in n = 2
f(n) = -4f(n-1) + n
f(2) = -4f(2-1) + 2 ..... n replaced with 2
f(2) = -4f(1) + 2
f(2) = -4*4 + 2 ......... f(1) replaced with 4; since f(1) = 4
f(2) = -16 + 2
f(2) = -14
The second term is -14
------------------
Repeat for n = 3
f(n) = -4f(n-1) + n
f(3) = -4f(3-1) + 3 ..... n replaced with 3
f(3) = -4f(2) + 3
f(3) = -4*(-14) + 3 ......... f(2) replaced with -14
f(3) = 56 + 3
f(3) = 59
The third term is 59
------------------
We keep going until we get to f(5)
Plug in n = 4
f(n) = -4f(n-1) + n
f(4) = -4f(4-1) + 4 ..... n replaced with 4
f(4) = -4f(3) + 4
f(4) = -4*(59) + 4 ......... f(3) replaced with 59
f(4) = -236 + 4
f(4) = -232
The fourth term is -232
------------------
Just one more section
Plug in n = 5
f(n) = -4f(n-1) + n
f(5) = -4f(5-1) + 5 ..... n replaced with 4
f(5) = -4f(4) + 5
f(5) = -4*(-232) + 5 ......... f(4) replaced with -232
f(5) = 928 + 5
f(5) = 933
The fifth term is 933
------------------
As you can see, recursive sequences can get tedious for fairly large values of n. We need to compute every term before f(5) to figure it out. So if your teacher needed you to compute something like f(10), then it would get even worse. Sometimes it's possible to find a closed formula for it, but it may be tricky to find.
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.
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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]
Write the equation of a line through points (5, 5) and (1, 0) in point-slope form.
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
m ∠CAD = _____.
what is the correct formula ?
Answer:
2nd option is the correct answer
Step-by-step explanation:
Hope it helps you in your learning process.