Answer:
11.7
Step-by-step explanation:
39.1 - 9.2 = 29.9
29.9 - 18.2 = 11.7
which qaudratic equation is equivalent to (x+2)^2+5(x+2)-6=0 a. (u+2)^2+5(u+2)-6=0 where u=(x-2) b. u^2+4+5u-6=0 where u= (x-2) c. u^2+5u-6=0 where u=(x+2) d. u^2+u-6=0 where u=(x+2)
Answer:
D
Step-by-step explanation:
Given
(x + 2)² + 5(x + 2) - 6 = 0
Using the substitution u = x + 2 , then the equation can be expressed as
u² + 5u - 6 = 0 → D
If a litre of juice costs 85, what would be the cost of 4 litres of juice?
Answer:
340
Step-by-step explanation:
To find the cost of 4 liters of juices, take the cost of 1 liter and multiply by 4
4 *85 = 340
Answer: It's $340
Step-by-step explanation:
4 liters of juice - 3 liters = 1 liter
Multiply 1 liter by 4 = 340 (4 x 85)
Answer: $340
Simplify the following completely, show all work. √-45
Answer:
[tex]3\sqrt{5}i[/tex]
Step-by-step explanation:
[tex]\sqrt{-45}[/tex]
[tex]\sqrt{-9*5}[/tex]
[tex]\sqrt{-9}\sqrt{5}[/tex]
[tex]3i\sqrt{5}[/tex]
[tex]3\sqrt{5}i[/tex]
can anyone help me with the question please
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
7 a)
Step 1 :
Make the denominators the same
[tex]-\frac{1}{7} \ and \ \frac{2}{9}[/tex]
[tex]-\frac{1}{7} \times \frac{9}{9} = -\frac{9}{63}\\\\\frac{2}{9} \times \frac{7}{7} = \frac{14}{63}\\[/tex]
Step 2 :
Now find rational between (-9/63) and (14/63).
Just change the number in the numerator. Write any numbers between -9 and 14 in the numerator.
[tex]\frac{ -8}{63}, \ \frac{-7}{63},\ \frac{3}{63},\ \frac{6}{63},\ \frac{8}{63}[/tex]
7 b )
[tex]x = 3 + 2\sqrt2\\\\x + \frac{1}{x} = (3 + 2\sqrt2) + \frac{1}{3+2\sqrt2}[/tex]
[tex][ Rationalize \ the \ denominator : \frac{1}{3 + \sqrt2} \times \frac{3 - 2\sqrt2}{3-2\sqrt 2} = \frac{3 - 2 \sqrt2}{3^2 - (2 \sqrt2)^2 } = \frac{3 - 2\sqrt2}{9 - 8} = 3 - 2\sqrt 2 \ ][/tex]
[tex]therefore , x + \frac{1}{x} = 3 + 2\sqrt 2 + 3 - 2 \sqrt 2 = 6 + 0 = 6[/tex]
Match each equation with the correct type of probability?
Answers:
P(A or B) not mutually exclusiveP(A and B) not independent (aka dependent)P(A and B) independentP(A or B) mutually exclusiveP(A | B)=============================================
Explanation:
The formula we use for "or" cases is
P(A or B) = P(A) + P(B) - P(A and B)
If events A and B are mutually exclusive, then we ignore the P(A and B) part since that is 0. Mutually exclusive events cannot occur simultaneously, which is why we have that 0.
-----------
For "and" cases, we have two basic flavors
P(A and B) = P(A)*P(B | A)
P(A and B) = P(B)*P(A | B)
We go with the first case for problem 2. These formulas apply if A and B are not independent.
If they are independent, then
P(A and B) = P(A)*P(B)
-----------
Start with the equation P(A and B) = P(B)*P(A | B) and divide both sides by P(B).
You'll end up with
P(A | B) = P(A and B)/P(B)
which is a conditional probability.
Graph the image of kite JKLM after a translation 3 units up.
Hhhelllllppp qqquuuiiiccckkk
Answer:
F
E or C (depending on the actual angles - see below in the details)
Step-by-step explanation:
two triangles are congruent, when after some rotation or mirroring they can cover each other exactly.
that means they must both have the same angles and side lengths.
these are the possible conditions to determine that 2 triangles are congruent (without knowing ALL of the sides and angles) :
SSS (Side-Side-Side) - all 3 sides of triangle 1 are exactly of the same length as the 3 sides of triangle 2.
SAS (Side-Angle-Side) - 2 sides and one angle are the same
ASA (Angle-Side-Angle) - 2 angles and the side between these 2 angles are the same
AAS (Angle-Angle-Side) - 2 angles and any not-included side are the same
RHS (Right angle-Hypotenuse-Side) - both triangles are right-angled (one angle is 90 degrees), and the Hypotenuse (the side opposite to the 90 degree angle) and another side are the same.
so, now look at a).
we only know the angles. but we could use a zoom lens of a camera and make them bigger and smaller, while their angles remain actually the same.
therefore, we cannot say, if they are actually congruent (only if their side lengths are the same too).
but we can say that they could be congruent.
and therefore also none of the congruent conditions apply, because for all of them we always need at least one side length. and we don't have that.
now looking at b)
I am not sure I can read one of the given angles correctly.
case one: I read the angles in triangle 2 as 66 and 58 degrees. that would make the third angle
180 - 66 - 58 = 56
but triangle 1 has the angles of 68, 54 and
180 - 68 - 54 = 58
=> the three angles are not the same, so the triangles are definitely not congruent
case two: I could read the angles in triangle 2 also as 68 and 58. that would make the third angle
180 - 68 - 58 = 54
and the side connecting the 68 and 58 angles has the same length, so the ASA criteria are fulfilled, and the triangles are congruent. C
Im needing help with this math question
Answer:
4 weeks = 105
16 weeks = 42
24 weeks = 0
Step-by-step explanation:
the function is missing the 'w'
it should be : C(w) = 126 - 5.25w
'w' is the number of weeks
Substitute number of weeks in the 'w' spot
first one is 4 weeks, so
C(w) = 126 - 5.25(4)
= 126 - 21
= 105
What is the y-intercept of the function f(x)=2•3x
Answer:
0
Step-by-step explanation:
f(x)=2•3x
f(x)=6x+0
The perimeter of a rectangular field is 316 yards. If the length of the field is 84 yards, what is its width?
yards
$
? 2
a
Answer:
74
Step-by-step explanation:
84+84=168
316-168=148
148/2=74
URGENT!!! I need help with these 3-word problems for my trigonometry homework. Please explain how you got the answer and any work.
9514 1404 393
Answer:
7.91 m61.58 cm²angular velocity: 17/16π ≈ 3.34 radians/second; linear speed: 425/16π ≈ 83.45 cm/sStep-by-step explanation:
The applicable relation in each case is ...
s = rθ
where s is arc length, r is radius, and θ is rotation angle in radians. Of course the relation between degrees and radians is that π radians = 180°.
__
1. s = (1.5 m)(302.2/180π) ≈ 7.91 m
About 7.91 meters of wire will be wound on the drum.
__
2. The area of a sector is found by a formula that is similar to that for the area of a triangle. For a triangle, the area is A=1/2bh, where b is the base length and h is the height of the triangle. For a sector, the area is A=1/2sr, where s is the arc length and r is the radius. Usually, this is put in the form ...
A = 1/2sr = 1/2(rθ)r
A = 1/2r²θ
The angle through which the pendulum sweeps is ...
(9°/s)(4 s) = 36° = (36°/180°)π radians = π/5 radians
Then the swept area is ...
A = 1/2(14 cm)²(π/5) = 19.6π cm² ≈ 61.58 cm²
Each complete right to left swing sweeps an area of about 61.58 cm².
__
3. Each rotation is 2π radians of angle, so the angular speed is ...
angle/time = (2π radians/revolution)(17 revolutions)/(32 s) = 17/16π radians/s
≈ 3.34 radians/s
The distance covered per unit time is found using the arc length formula above.
(arc length)/time = (rθ)/time = (25 cm)(17/16π rad/s)
= (426/16)π cm/s ≈ 83.45 cm/s . . . . . pulley rim speed
i can’t figure it out, it’s the same problem it just printed out twice
Answer: 25.8°
Step-by-step explanation:
We use CAH = Adjacent/Hypotenuse
Cos x = 27/30
Cos x = 25.8°
what is the best approximation for relative maximum of the polynomial function graphed below?
A. (0.6, -2.8)
Hope this helps! :)
the area of a circle whose radius is 2.1m³is 13.85m²
TRUE OF FALSE
Answer:
true
Step-by-step explanation:
Jennifer paid $3.75 for 3 doughnuts. What is the unit price for the doughnuts?
Answer:
Cost of one doughnut = $1.25
Step-by-step explanation:
Doughnut Cost
3 3.75
1 x
[tex]\frac{3}{1} = \frac{3.75}{x}\\\\3 \times x = 3.75 \times 1\\\\x = \frac{3.75}{3} = \$ 1.25[/tex]
Answer:
$1.25
Step-by-step explanation:
We need to find the cost of one doughnut.
the total price is $3.75
3.75/3 = 1.25
each doughnut costs $1.25
GIVING OUT BRAINLIEST HELP MEEE PLSS!!
Answer:
I'm like positive it's C...
Step-by-step explanation:
Answer:
45/28
Step-by-step explanation:
take angle R as reference angle
tan R=opposite/adjacent
=45/28
Morning donuts recently sold 14 donuts, of which 7 we're cake donuts. Considering this data,how many of the next 6 donuts sold would you expect to be cake donuts
Answer:
Three of your next six donuts sold will be cake donuts.
Step-by-step explanation:
14:7 simplified to a unit ratio is 2:1. Using this information, we know that 6:3 is the ratio for the next 6 donuts.
Alma was given some money as a gift and deposited it into a savings account. She makes a withdrawal of the same amount at the end of each month. At the end of the 5th month, her balance was $442. At the end of the 13th month, her balance was $226.
What is the input?
Answer:
$577
Step-by-step explanation:
Let y = amount of money in the account.
Let x = number of months.
The withdrawals are always the same amount and occur every month, so this is a linear relation.
We are given two points of the relation: (5, 442) and (13, 226).
y = mx + b
m = (442 - 226)/(5 - 13) = 216/(-8) = -27
The slope, -27, represents the amount she withdraws each month.
y = -27x + b
442 = -27(5) + b
442 = -135 + b
b = 577
y = -27x + 577
b = y-intercept = initial amount
Answer: The input was $577.
Answer: B, B, and C
Step-by-step explanation: yo mama
You can use this formula to convert a temperature in Celsius (C) to Fahrenheit (F).
F = 95C + 32
Use the formula to covert 55°C to Fahrenheit.
Answer:
using the formula is 87°F but without it is near 140°F
The graph of the function f(x) = –(x + 6)(x + 2) is shown below.
On a coordinate plane, a parabola opens down. It goes through (negative 6, 0), has a vertex at (negative 4, 4), and goes through (negative 2, 0).
Which statement about the function is true?
The function is increasing for all real values of x where
x < –4.
The function is increasing for all real values of x where
–6 < x < –2.
The function is decreasing for all real values of x where
x < –6 and where x > –2.
The function is decreasing for all real values of x where
x < –4.
Answer:
The function is increasing for all real values of x where
–6 < x < –2.
What’s the answer to this question?
Answer:
its x^4
Step-by-step explanation:
its x^4
I need help i keep getting this wrong
Answer:
it is quite difficult
Step-by-step explanation:
hope you understand
Answer:
As shown in the figure.
Step-by-step explanation:
At the bottom is the answer.
Ashley can ride her bicycle 15 miles in 2 hours. There are 60 minutes in 1 hour, and there are 1,760 yards in 1 mile. How many yards does Ashley travel in a minute ??
Answer:
220 yards in one minute
Step-by-step explanation:
15 miles in 120 minutes equals 26,400 (15 · 1760) yards in 120 minutes
26,400 yards in 120 minutes equals 220 yards in 1 minute (after dividing both 26400 and 120 by 120)
Answer:
220
Step-by-step explanation:
The first guy explained it, look above. I was about to say something similair
What is negative 7 times i to the 29th power
Answer:
- 7 × i²⁹
Step-by-step explanation:
- 7 × i²⁹
Answer: -7 i
i kinda used g o o ogle but this is what it said, hope th is helps.
2. Anne needs to know how much of her back yard will be used by her new
circular pool. *
1 point
11 feet
What is the area of the pool? Use 3.14 for T.
Answer:
see below
Step-by-step explanation: 6 13 8 09
area = π r² is the equation to calculate the area of the pool r = radius
I don't no if the 1.11 ft is the diameter of the radius, so I will use the 1.11 ft as the diameter
diameter = 2×radius
diameter / 2 = radius
area = π (d/2)² = T (d/2)² d = diameter π = T
= 3.14(1.11 / 2)²
= 3.14 × (0.555)²
= 0.9677 ft² which seems like a small pool!
Determine whether the stochastic matrix P is regular. Then find the steady state matrix X of the Markov chain with matrix of transition probabilities P. P=
0.22 0.20 0.65
0.62 0.60 0.15
0.16 0.20 0.20
Answer:
Step-by-step explanation:
Given that:
[tex]P = \left[\begin{array}{ccc}0.22&0.20&0.65\\0.62&0.60&0.15\\0.16&0.20&0.20\end{array}\right][/tex]
For a steady-state of a given matrix [tex]\bar X[/tex]
[tex]\bar X = \left[\begin{array}{c}a\\b\\c\end{array}\right][/tex]
As a result P[tex]\bar X[/tex] = [tex]\bar X[/tex] and a+b+c must be equal to 1
So, if P[tex]\bar X[/tex] = [tex]\bar X[/tex]
Then;
[tex]P = \left[\begin{array}{ccc}0.22&0.20&0.65\\0.62&0.60&0.15\\0.16&0.20&0.20\end{array}\right]\left[\begin{array}{c}a\\b\\c\end{array}\right] =\left[\begin{array}{c}a\\b\\c\end{array}\right][/tex]
[tex]\implies \left\begin{array}{ccc}0.22a+&0.20b+&0.65c\\0.62a+&0.60b+&0.15c\\0.16a+&0.20b+&0.20c\end{array} \right = \left \begin{array}{c}a ---(1)\\b---(2)\\c---(3)\end{array}\right[/tex]
Equating both equation (1) and (3)
(0.22a+ 0.2b + 0.65c) - (0.16a + 0.2b + 0.2c) = a - c
0.06a + 0.45c = a - c
collect like terms
0.06a - a = -c - 0.45c
-0.94 a = -1.45 c
0.94 a = 1.45 c
[tex]c =\dfrac{ 0.94}{1.45}a[/tex]
[tex]c =\dfrac{ 94}{145}a --- (4)[/tex]
Using equation (2)
0.62a + 0.60b + 0.15c = b
where;
c = 94/145 a
[tex]0.62a + 0.60b + 0.15(\dfrac{94}{145}) a= b[/tex]
[tex]0.62a + 0.15(\dfrac{94}{145}) a= -0.60b+b[/tex]
[tex]0.62a + (\dfrac{141}{1450}) a= 0.40b[/tex]
[tex](0.62+\dfrac{141}{1450}) a= 0.40b[/tex]
[tex](\dfrac{62}{100}+\dfrac{141}{1450}) a= 0.40b[/tex]
[tex](\dfrac{1043}{1450})a= 0.40b[/tex]
[tex](\dfrac{1043}{1450})a= \dfrac{4}{10} b[/tex]
[tex](\dfrac{1043 \times 10}{1450 \times 4})a = \dfrac{4}{10} \times \dfrac{10}{4}[/tex]
[tex]b = (\dfrac{1043}{580}) a --- (5)[/tex]
From a + b + c = 1
[tex]a + \dfrac{1043}{580}a + \dfrac{94}{145} a = 1[/tex]
[tex]a + \dfrac{1043}{580}a + \dfrac{94*4}{145*4} a = 1[/tex]
[tex]a + \dfrac{1043}{580}a + \dfrac{376}{580} a = 1[/tex]
[tex]\dfrac{580+ 1043+376 }{580} a= 1[/tex]
[tex]\dfrac{1999}{580} a= 1[/tex]
[tex]a = \dfrac{580}{1999}[/tex]
∴
[tex]b = \dfrac{1043}{580} \times \dfrac{580}{1999}[/tex]
[tex]b = \dfrac{1043}{1999}[/tex]
[tex]c = \dfrac{94}{145} \times \dfrac{580}{1999}[/tex]
[tex]c= \dfrac{376}{1999}[/tex]
∴
The steady matrix of [tex]\bar X[/tex] is:
[tex]\bar X = \left[\begin{array}{c}\dfrac{580}{1999} \\ \\ \dfrac{1043}{1999}\\ \\ \dfrac{376}{1999}\end{array}\right][/tex]
Which one hurry
A.82
B.94
C.121
D.144
[tex]\longrightarrow{\blue{B.\:94\:cm²}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]2 \: (3 \: cm \times 4 \: cm) + 2 \: (3 \: cm \times 5 \: cm) + 2 \: (4 \: cm \times 5 \: cm) \\ \\ = 2 \: (12 \: {cm}^{2} ) + 2 \: ( 15 \: {cm}^{2} ) + 2 \: (20 \: {cm}^{2} ) \\ \\ = 24 \: {cm}^{2} + 30 \: {cm}^{2} + 4 0\: {cm}^{2} \\ \\ = 94 \: {cm}^{2} [/tex]
[tex]\purple{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]
A bar of lead is in the shape of a rectangular prism 2 cm by 3 cm
by 4 cm. The density of lead is 11.34 grams per cubic centimeter.
Find the mass of the bar of lead. *
272.16 grams
227.61 grams
262.17 grams
Answer:
Step-by-step explanation:
V = L * W * H
L = 4
W = 3
H = 2
V = 4 * 3 * 2
V = 24
Density = mass / Volume
density = 11.34
volume = 24
mass = ?
11.34 = mass / 24 Multiply both sides by 24
11.34 * 24 = 24 * mass /24
mass = 272.16 grams
Please help me with this
Answer:
Step-by-step explanation:
(-3,-2)
I NEEDD HELPPP PLEASEE
Answer:
108 cm
Step-by-step explanation:
You can cut off the piece sticking out and "attach" it to the other side to make a complete rectangle. From there, multiply 4.5 * 24. You should end up with 108 cm².
