Answer:
— 3 (1.5n — 1)
Step-by-step explanation:
[tex] - 4.5n + 3 = - \frac{9}{2} n + 3 = 3( - \frac{3}{2} n + 1) = - 3( \frac{3}{2}n - 1) \\ = - 3(1.5n - 1)[/tex]
hallar una ecuacion de la parabola cuyo foco es (-2,2) y cuya directriz es = -8
The equation of the parabola whose focus is (-2,2) and whose directrix is x= -8 is [tex](y+2)^2=-20(x+5)[/tex]
The standard formula for finding an equation of a parabola is expressed as [tex]y^2=4ax[/tex]
If the curve is shifted to the left and down, the equation becomes [tex](y-k)^2=4a(x-h)[/tex] where:
(h, k) is the vertex of the parabola
If the focus is at (-2, 2) and the directrix is at x = -8, the equivalent vertex of the parabola will be at (-5, -2) and the midpoint between the vertex and directrix is at a = -5
Substitute these values into the formula of the parabola.
[tex](y-k)^2=4a(x-h)\\(y-(-2))^2=4(-5)(x-(-5))\\(y+2)^2=-20(x+5)\\[/tex]
Hence the equation of the parabola whose focus is (-2,2) and whose directrix is x = -8 is [tex](y+2)^2=-20(x+5)[/tex]
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100 POINT QUESTION!!!!!!!!!!!!!!!!!!!!!!!!!
Solve 7x2 – 3x – 10 = 0 using the quadratic formula.
Question 15 options:
A)
x = –2, 20∕7
B)
x = 20, –14
C)
image
D)
x = –1, 10∕7
Answer: D is my best guess
Step-by-step explanation:
Which figure is NEVER a parallelogram?
triangle
rectangle
rhombus
square
Answer:
Triangle
Step-by-step explanation:
A parallelogram have four sides
Regina ate 25 grapes and 15 cashews. Simplify the ratio of grapes to cashews that she ate.
Answer:
The ratio would be 5 to 3
Step-by-step explanation:
I know this because you would divide the amount of grapes and the amount of cashews by 3 which would equal 5 to 3
The ratio of grapes to cashews that she ate is 5:3.
What is ratio?A ratio is the comparison of two quantities and that can be the comparisons of parts to parts, parts to wholes, and wholes to parts are all examples of ratios.
Given that, Regina ate 25 grapes and 15 cashews.
We need to simplify the ratio of grapes to cashews that she ate.
The ratio = 25/15
= 5/3
Hence the ratio of grapes to cashews that she ate is 5:3.
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Evaluate the expression 16+1+2
HEEEEELP!!!!! what are 5 expressions that are equivelent to 8x+16
Answer:
8x + 16 = 2(4x + 8) = 4(2x + 4) = 8(x + 2) = 16((1/2)x + 1) = -8(-x - 2)
Step-by-step explanation:
Twelve pounds of the element plutonium is released in a nuclear accident. The amount of plutonium P that is present after t months is given by P(t)=12e^-0.1507t. What amount of plutonium remains after 36 months? Round to two decimal places.
The amount of Plutonium that remains after 36 months is 0.05
The equation for the amount of Plutonium after t months is
[tex]\mathbf{P(t) = 12e^{-0.1507t}}[/tex]
After 36 months; we have: t = 36.
Substitute 36 for t in P(t).
So, we have:
[tex]\mathbf{P(36) = 12e^{-0.1507 \times 36}}[/tex]
Simplify the exponent
[tex]\mathbf{P(36) = 12e^{-5.4252}}[/tex]
Evaluate the exponent
[tex]\mathbf{P(36) = 12 \times 0.004404}[/tex]
Multiply
[tex]\mathbf{P(36) = 0.052848}[/tex]
Approximate to 2 decimal places
[tex]\mathbf{P(36) = 0.05}[/tex]
Hence, the amount that remains is 0.05
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A company charges $60 per day plus $0.50 per mile for truck rentals. If Greg rents a truck for 3 days and drives 150 miles, how much will the company charge?
Answer:
$255
Step-by-step explanation:
Equation would be
60x+0.5y= $ charged
x= days
y = per mile
60 * 3 + 0.5 * 150 = $
180+75=
=255
Greg would have to pay $255
Hope this helps!
(Pls mark brainiest)
Thanks!
Write the ratio as a fraction: 630kilometers in 5hours. Simplify your answer.
___ km/hour
Answer:
126/1=126
Step-by-step explanation:
630:5 as a fraction would be 630/5.
630/5 simplified would be 126/1.
Hope this helps :)
Answer:
630:5 would be 126:1
Step-by-step explanation:
To solve this we would divide 630 by five giving us 126, and divide 5 by 5 giving us one
Now we have 126:1, or 126 km/hour
Prove that y = arcsinx on the root of 1 x squared satisfies the equality (1 - x squared)y' - xy = 1
Answer:
Step-by-step explanation:
The first part is a computation, combining the chain and quotient rules. We know that the derivative of f(x)=arcsin(x) is 1/sqrt(1-x2), and we need to differentiate the denominator. We use the chain rule: let u=1-x^2, and v=sqrt(u). Then du/dx=-2x, and dv/du = 1/(2 sqrt(u)). Combining, dv/dx=-x/sqrt(1-x2). Now, we put everything together using the quotient rules: y' = (f'v-v'f)/v2. Multiplying by (1-x2)=v2, we obtain (1-x2)y'= sqrt(1-x2)/sqrt(1-x2) +xarcsin(x)/sqrt(1-x2), which we can rewrite as 1+xy, as desired. Let's call this equation ().
We prove the second part by induction on n. To do this, we need two things: a base case, that is, proving the case n=0, and an inductive step, where we prove case n+1 from case n. To do the base case, we differentiate both sides of equation (*) that we proved above: d/dx ((1-x2 )y') = d/dx (xy+1 ). On the left-hand side, we get -2xy'+(1-x2 )y'', using the product rule, and on the right-hand side, we get xy'+y, similarly. Rearranging, we've proven the case n=0 of the desired statement. The inductive step is similar: we differentiate the equation from case n using the chain rule. Each of the first two terms splits into two: respectively, -2xy(n+2)+(1-x2)y(n+3), and (2n+3)y(n+1)+(2n+3)xy(n+2). If we combine the terms with the same numbers of derivatives on y, we get (1-x2)y(n+3)-(2n+5)xy(n+2)-((n+1)2+2n+3)y(n+1)=0 -which is what we wanted to prove, since ((n+1)2+2n+3) simplifies to (n+2)2.
Find the volume of a cylinder either enter. An exact answer in terms of pie or 3.14 please help me
PLS HELP ME
what party was against a strong central government, government promotion of trade and industry?
A: Federalist
B: Democrat-republicans
C: Whigs
D: Democrats
I need it now pls it's a k-12 test
Answer:
the answer is a federalist and your welcome
Step-by-step explanation:
The Federalists, led by Secretary of Treasury Alexander Hamilton, wanted a strong central government, while the Anti-Federalists, led by Secretary of State Thomas Jefferson, advocated states' rights instead of centralized power.
a square has an area of 64 square units. if it’s side were only half as long, what would it’s area be??
Answer:
16
Step-by-step explanation:
8x8 is 64, so half of 8 is 4 so 4x4 is 16
Find set A′ ∩ B′
U={a, b, c, d, e, f, g}
A={b, c, e, g}
Answer:
i dont know
Step-by-step explanation:
i dont know
fred bags groceries at Wegman's. on average he fills 21 bags for every three customers what IS FREDS AVERAGE RATE OF CHANGE
Answer:
The rate of change will be the number of bags Fred fills for 1 customer.
Write a ratio.
21 : 3
x : 1
To solve for x, cross multiply.
3x : 21
Divide both sides by 3.
x = 7
Fred’s average rate of change is 7 bags.
:)
ents
2 in
2 in
What is the area of the given figure? Enter your answer as a single number. Round to the
nearest tenths place. Use 3.14 as an approximation for pi. Your answer will be in the units of
inches squared
15
Answer:
"given figure"
No figure was given.
Step-by-step explanation:
what is the reason for line 3??
Answer:
SAS similarity
Step-by-step explanation:
LO and LP are proportional to LN and LM, as shown by:
[tex]\frac{LO}{LN} =\frac{LP}{LM}[/tex]
Because these are equal, both pairs of corresponding lines have the same scale factor and are proportional as a result. The angle between them is congruent due to the reflexive property as given, and with 2 pairs of proportional sides including the angle, ΔLMN is similar to ΔLPO by the SAS similarity postulate
Write the equation of the line that passes through (-2, 4) and is perpendicular to x = 3.
Check the picture below.
A carton contains 1.92 liters of milk. There are 8 servings in the carton. How many liters of milk are in each serving?
Answer:
0.24 liters per serving (240 ml)
Step-by-step explanation:
[tex]1.92/8=0.24[/tex]
equivalent to 240 mililiters
Hope this helps
plz help asap plzz plllzzzzz
9. Machine Trades Find the width X of the V-thread shown. (Round to the
nearest thousandth.)
Answer:
X would be 1,000
Step-by-step explanation:
A furniture store receive
order for 456 chairs. They
can fit 9 chairs in a large
shipping box. How many
shipping boxes will they
need to ship all of the
chairs?
The area of a rectangle is 50 ft, and the length of the rectangle is 5 ft less than three times the width. Find the dimensions of the rectangle.
Answer:
L - 10 . W - 5
Step-by-step explanation:
Length = 3*width - 5
area = length * width
50 = (3w-5)* w
50 = 3w^2-5w
0 = 3w^2 - 5w -50
0= (3w+10)(w-5)
w = 5 , w can't equal -10/3 because width can't be negative
width is 5
Length = 3 * 5 - 5
Length = 10 , width = 5
Answer:
first lets say w is the width
50(area)=w(idth)+3(w-5)
50=w+3w+15
50=4w+15
35=4w
8.75=w
w equals 8 3/4
Hope This Helps!!!
Question 9 of 10 What is the approximate value of x in the diagram below? (Hint: You will need to use one of the trigonometric ratios given in the table.) 54 sin 36 A 0.588 oos 36 x 0.809 ta 369 0.727 23 36° he A. 18.61 B. 13.52 C. 16.72 D. 28.43 E. 31.64 O F. 39.12
9514 1404 393
Answer:
E. 31.64
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation between the legs of a right triangle:
Tan = Opposite/Adjacent
You are given trig values for 36°. That means ...
tan(36°) = 23/x
x = 23/0.727 ≈ 31.64
Which graph represents a proportional relationship?
Answer: The first graph
Step-by-step explanation:
A proportional graph always goes through the origin
Answer:
The first graph
Step-by-step explanation:
Give the two missing numbers in the following sequences.8,9,11,14,?,23,?
Answer:
18 and 29
Step-by-step explanation:
8+0=8
8+1=9
9+2=11
11+3=14
14+4=18
18+5=23
23+6=29
As you can see, the number that you add to the previous number in the sequence is increased by 1 as the sequence grows in length. The number added goes from 0 to 1 to 2 to 3 and so on. :-)
Find the slope and y-Intercept of the line in the graph. Drag and drop each number into the correct box
to complete the statement.
7
(0,5)
4 3
2
1
0
(3,-1)
-1
-2
3
TO
de
8 7
0 1 2
55
The slope is m
and they-intercept is b =
Answer:
slope = - 2, y- intercept = 5
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 5) and (x₂, y₂ ) = (3, - 1) ← 2 points on the line
m = [tex]\frac{-1-5}{3-0}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2
The y- intercept is the point on the y- axis where the line crosses
The y- intercept = 5
Classify the quadrilateral, Explain your reasoning. Thank you!!
Answer: y=7, x=2
Step-by-step explanation:
∠Q+∠P=180° (∠s between 2 // lines)
97°+(12y-1)°=180°
12y-1=83°
12y=84
y=7
5x+6=8x (Iso triangle)
x=2
d = 10.2 ft, r = 0.5 ft/h
Answer:
20.4
Step-by-step explanation:
If you are using D = r × t
10.2 = 0.5(t)
10.2/0.5 = t
20.4 = t
Answer:
20.4
Step-by-step explanation:
Addison plays 6 songs in of an hr. How many
songs can she play for 4 hours?
Answer:
24
Step-by-step explanation:
4x6=12or 2x6=12so then 12+12=24
Answer:
6 songs per hour, so multiply that with the number asked which is four
so four times six is24
so she can play 24 songs in four hours!
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