Answer:
x = 4
Step-by-step explanation:
Going to assume thats an extra e
3x = 12
Divide 12 by 3
x = 4
Answer:
x=0.83
Step-by-step explanation:
got it right on the test
I will mark brainliest if u answer this question right! REMEMBER TO EXPLAIN ON HOW U KNOW!
Tirzah wants to put a fence around her garden. She has 22 yards of fence material. Does she have enough to go all the way around the garden? Explain why or why not.
Answer:
No
Step-by-step explanation:
To calculate how much fence is needed we need to calculate the perimeter NOT area.
P = 2L+2W
P =2(6.75)+2(4 2/3)
P = 13.5 + 9 1/3
P = 22 5/6
Because she only has 22 yards she does not have enough to go all the way around.
Hope this helps and brainliest please
Answer:
No
Step-by-step explanation:
the perimeter is 22.7 she is approximately .7 off
100 points!!!
Determine the solution to the system of equations graphed below and explain your reasoning in complete sentences.
Answer:
(1, 5)
Step-by-step explanation:
The solution to the system of equations is the point of intersection of the two lines. From inspection of the graph, the point of intersection is at (1, 5).
Proof
The solution to a system of equations is the point at which the two lines meet.
⇒ g(x) = f(x)
⇒ 3x + 2 = |x - 4| + 2
⇒ 3x = |x - 4|
⇒ 3x = x - 4 and 3x = -(x - 4)
⇒ 3x = x - 4
⇒ 2x = -4
⇒ x = -2
Inputting x = -2 into the 2 equations:
⇒ g(-2) = 3 · -2 + 2 = -4
⇒ f(-2) = |-2 - 4| + 2 = 8
Therefore, as the y-values are different, x = -2 is NOT a solution
⇒ 3x = -(x - 4)
⇒ 3x = 4 - x
⇒ 4x = 4
⇒ x = 1
Inputting x = 1 into the 2 equations:
⇒ g(1) = 3 · 1 + 2 = 5
⇒ f(1) = |1 - 4| + 2 = 5
Therefore, as the y-values are the same, x = 1 IS a solution
and the solution is (1, 5)
how do you say 14-3(a+7)
Answer:
-3a-7
Step-by-step explanation:
-3(a) -3(7)
14-3a-21
-3a-7
Use the drop-down menus below to state the sequence of transformations that maps Figure K onto Figure L in the animation below. Then use those transformations to determine: are the two figures congruent? Use the drop-down menus to explain why or why not.
Answer:
Dilate, Reflect
Not congruent, dilations are used
Step-by-step explanation:
Dilate Figure K by a factor 3 to get the white shape.
Reflecting the resulting figure over the x-axis will give you Figure L
Step 1: Dilate by a scale factor of 3
Step 2: Reflect over the x-axis
Since dilations are used, the shapes are not congruent as they change the side lengths and area.
-Chetan K
Two trees are growing in a clearing. The first tree is 12 feet tall and casts an 8-foot shadow. The second tree casts an 11-foot shadow. How tall is the second tree to the nearest tenth of a foot?
[tex] \huge{ \rm{Question:}}[/tex]
Two trees are growing in a clearing. The first tree is 12 feet tall and casts an 8-foot shadow. The second tree casts an 11-foot shadow. How tall is the second tree to the nearest tenth of a foot?
[tex] \huge{ \rm{Answer:}}[/tex]
The second tree is 59.5 feet tall
HOPE THIS HELPS^^
Suppose an electric-vehicle manufacturing company estimates that a driver who commutes 50 miles per day in a particular vehicle will require a nightly charge time of around 1 hour and 30 minutes (90 minutes) to recharge the vehicle's battery. Assume that the actual recharging time required is uniformly distributed between 70 and 110 minutes.
(a)
Give a mathematical expression for the probability density function of battery recharging time for this scenario.
f(x) =
, 70 ≤ x ≤ 110
, elsewhere
Using the uniform distribution, it is found that the mathematical expression for the probability density function of battery recharging time for this scenario is given by:
[tex]f(x) = \frac{1}{40}, 70 \leq x \leq 110[/tex]
[tex]f(x) = 0[/tex], elsewhere.
What is the uniform probability distribution?It is a distribution with two bounds, a and b, in which each outcome is equally as likely.
The probability density function is:
[tex]f(x) = \frac{1}{b - a}, a \leq x \leq b[/tex]
[tex]f(x) = 0[/tex], elsewhere.
In this problem, the actual recharging time required is uniformly distributed between 70 and 110 minutes, hence a = 70, b = 110, and the density function is:
[tex]f(x) = \frac{1}{40}, 70 \leq x \leq 110[/tex]
[tex]f(x) = 0[/tex], elsewhere.
More can be learned about the uniform distribution at https://brainly.com/question/13889040
Find the value of the variable in the isoscells trapezoid.
55
(2x + 15)
[tex] \sf \left[ \: \: \int \limits_{ \sum \limits_{n = 0}^{ \infty } \big( \sqrt{n} - \sqrt{n + 1} \big)}^{ \sum \limits_{n = 0}^{ \infty } \frac{( - 1 {)}^n }{n + 1} } \left ( \lim_{t \to \infty } \bigg(1 + \frac{1}{ {e}^{t}} \bigg )^{ {e}^{t} } \right )^{ \large\frac{d}{dx} \bigg( \frac{ {x}^{2} }{ {sin}^{2} x + {cos}^{2}x } \bigg)} \: dx\right]^{2} \\ [/tex]
The lower limit of the integral is -∞, since √n - √(n + 1) ≤ -1 for all n, and
[tex]\displaystyle\sum_{n=0}^\infty (\sqrt n - \sqrt{n+1}) = -\sum_{n=0}^\infty\dfrac1{\left|\sqrt n + \sqrt{n+1}\right|} \ge -\sum_{n=0}^\infty \frac1{n^{1/2}}[/tex]
and the sum on the right is a divergent p-series.
The upper limit of the integral is ln(2). Recall that for |x| < 1,
[tex]\displaystyle \sum_{n=0}^\infty x^n = \frac1{1-x}[/tex]
Integrating both sides gives
[tex]\displaystyle \sum_{n=0}^\infty \frac{x^{n+1}}{n+1} = -\ln(1-x) + C[/tex]
When x = 0, it follows that C = 0. As x → -1 from above, we find
[tex]\displaystyle \sum_{n=0}^\infty \frac{(-1)^n}{n+1} = \ln(2)[/tex]
The limit in the integrand is e, since
[tex]\displaystyle \lim_{t\to\infty}\left(1+\frac1{e^t}\right)^{e^t} = \lim_{n\to\infty}\left(1+\frac1n\right)^n = e[/tex]
where we replace n = eᵗ, so both n and t → ∞.
The derivative in the exponent of the integrand is
[tex]\dfrac{d}{dx}\dfrac{x^2}{\sin^2(x)+\cos^2(x)} = \dfrac{d}{dx}x^2 = 2x[/tex]
So, the original expression simplifies significantly to
[tex]\left(\displaystyle \int_{-\infty}^{\ln(2)} e^{2x} \, dx\right)^2[/tex]
The remaining integral is trivial:
[tex]\displaystyle \int_{-\infty}^{\ln(2)} e^{2x} \, dx = \frac12 e^{2\ln(2)} = 2[/tex]
and so the expression has a value of 2² = 4.
Define your variables, write a system of equations, then solve the system of equations by using substitution.
The school that Stefan goes to is pre-selling tickets to a concert. On the first day of ticket sales, the school sold 3 student tickets and 1 adult ticket for a total of $38. The school took in $52 on the second day boy selling 3 student tickets and 2 adult tickets. Find the price of a student ticket and the price of an adult ticket.
I'm happy to help!
Answer:
Adult tickets are $14
Student tickets are $8
Step-by-step explanation:
let's say that [tex]\tt s=student~ticket\\\\[/tex]
And [tex]\tt a=adult~ticket[/tex]
on the first day we have:
[tex]\tt 3s+a=38[/tex]
On the second day we have
[tex]\tt3s+2a=52[/tex]
now we have a system of 2 equations with 2 unknown
[tex]\tt 3s+a=38[/tex]
[tex]\tt 3s+2a=52[/tex]
we will multiply the first equation with -1
[tex]\tt -3s-a=-38\\\tt ~3s+2a=52[/tex]
we solved the system and
a= $14, forthe adult ticket
s= $8 for the student ticket
Hope this helps!Have an Awesome day!
Using the completing the square method, find the vertex of the function f(x) = -2X² + 12x + 5 and indicate whether it is a minimum or a maximum and at what
point
Maximum at (-3,5)
O Minimum at (-3,5)
O Maximum at (3, 23)
O Minimum at (3, 23)
Answer:
maximum at (3,23)
Step-by-step explanation:
graphed it
Howard is preparing meatballs for a party.
Each meatball contains 18 pound of ground beef and 116 pound of ground turkey.
Howard needs to make 20 meatballs.
How many pounds of meat are needed for the meatballs?
2,680 pounds of meat
Step-by-step explanation:
Combine the meat:
116 + 18 = 134
Multiple the total amount of pounds by the number of meatballs:
20 × 134 = 2,680
Answer = 2, 680 pounds are needed
You and your friend have a bet. If you roll a standard six-sided die and get a 4 and then roll it again and get a 6, she will give you $100. You must roll a 4 and a 6 to win. What is the percentage chance you will win this bet?
Answer: 3%
Step-by-step explanation:
first roll 1 out of 6 chance or 16%
second roll is also 1 out of 6 chance or 16%
Mulitple .16 by .16 to get .0256 rounded to whole percentage 3%
The perimeter of a triangle is 24 feet. The second side is two feet longer than the first.The third side is two feet longer than the second
A triangle has three sides, the first, second, and the add up to 24, since that's the perimeter
The second side = the first (let's call it L) + 2
The third is two more then the second, so L + 2 + 2
first side = L
second = L + 2
third = L + 2 + 2
add all three together, L + L + 2 + L + 2 + 2 = 24
combine the L's and 2's
3L + 6 = 24
subtract 6 from both sides
3L = 18
divide by 3
L=6
so the first side is 6, the second is 8, the third is 10
Anyone can help me please?
X = 2 cm
Y = 1. cm
Check me if I'm Wrong.
If B varies directly to C and inversely to the cube of D, and B = 5 when C = 2 and D = 1, find B when C = 4 and D = 2
Answer:
5/4
Step-by-step explanation:
B = kC/D³
Given B = 5, C = 2, D = 1
so 5 = k(2)/1³ = 2k, k = 5/2 = 2.5
B = 2.5C/D³
when C = 4, D = 2
B = 2.5 * 4/2³ = 10/8 = 5/4
Triangle ABC is isosceles. It is reflected across the y- axis and then translated up 1 unit to form triangle ABC.
Answer: True, True, True
Step-by-step explanation:
A. True. Angles B and C are congruent, and since B' is congruent to B, by the transitive property, C is congruent to B', and thus has the same measure.
B. True. AB>BC, and the rigid motions won't change the side lengths.
C. True for the same reason in B.
Consider the following equation;
Answer:
B
Step-by-step explanation:
x² - 6x = 0
x² - 6x + (6/2)² = (6/2)²
x² - 6x + 9 = 9
(x - 3)² = 9
So B
Choose the function whose graph is given by;
Answer:
A. y = cos x - 2
Step-by-step explanation:
A
D
N
4
с
B EK
к
-8
10
Solve for N.
AABC - ADEC
8
4
N= [?]
=
10
N
Ente
Answer: 5
Step-by-step explanation:
8/10 = 4/N
0.8 = 4/N
0.8N = 4
N = 4/0.8 = 5
=
In ABC, b = 35 inches, c = 31 inches and A=162º. Find the length of a, to
the nearest inch.
Answer:
65 in
Step-by-step explanation:[tex]a=\sqrt{b^2+c^2-2bc\cos(A)}}=\sqrt{35^2+31^2-2\times35\times31\cos(162)}=65 in[/tex]
Can someone please help me with number 2 please I’ll love you forever ;)
Step-by-step explanation:
the first question
x²+x+5
when x is -4
(-4)²+(-4)+5
16-4+5
12+5
17
hope this was helpful
Which would be greater: the number of reds in a bag of 75 candies or the total number of candies in the 1 pound bag in which there are a total of 3 green candies? Use proportional reasoning to support your answer.
Sample
1
2
3
4
5
6
7
8
9
10
11
12
Red
2
1
4
2
1
2
1
0
1
3
3
1
Yellow
3
3
2
2
2
2
2
3
2
1
0
1
Purple
2
2
1
3
5
2
2
2
4
2
2
0
Green
1
4
2
0
0
2
3
4
3
2
1
4
Orange
2
0
1
2
3
2
2
1
0
2
4
4
Answer:
75+3-1 =77
Step-by-step explanation:
444+225752-57560+55-577=77
Brainliest if correct
118.7023 rounded to 2 decimal places
Answer:
119
Step-by-step explanation:
round 7 up
f I sold 3 coffees for $2.50 each, how much change do I give the customer from the following amounts?
John predicted that gas prices would rise 3.5% in the month of January. If gas prices start at $3.25, how much will the gas be if John is correct?
Answer:
$3.36
Step-by-step explanation:
to find out what the price is after an increase of 3.5%, set it as 103.5% of the original price and then we convert the percent to a decimal (divide by 100)
so:
$3.25 x 103.5% =
3.25 x 1.035 = $3.36
Answer:
$3.36
Step-by-step explanation:
0.11375(3.5% of $3.25) + 3.25 = 3.36375
round to the hundredth since it money and your answer is #3.36
Problem 1: Use the Laplace Transforms to solve:
[tex]y'' - y' = {e}^{ - 3t} , \\ y(0) =y'(0) =0[/tex]
Transforming the ODE yields
[tex]L\left\{y'' - y'\right\} = L\left\{e^{-3t}\right\}[/tex]
[tex](s^2 Y(s) - sy(0) - y'(0)) - (s Y(s) - y(0)) = \dfrac1{s+3}[/tex]
[tex](s^2 - s) Y(s) = \dfrac1{s+3}[/tex]
[tex]Y(s) = \dfrac1{(s^2 - s)(s+3)} = \dfrac1{s(s-1)(s+3)}[/tex]
Partial fractions:
[tex]Y(s) = \dfrac as + \dfrac b{s-1} + \dfrac c{s+3}[/tex]
[tex]\implies 1 = a(s-1)(s+3) + b s(s+3) + c s(s - 1)[/tex]
[tex]\implies 1 = -3 a + (2 a + 3 b - c) s + (a + b + c) s^2[/tex]
[tex]\implies \begin{cases}-3a=1 \\ 2a+3b-c=0 \\ a+b+c=0\end{cases} \implies a=-\dfrac13, b=\dfrac14, c=\dfrac1{12}[/tex]
[tex]\implies Y(s) = -\dfrac13 \times \dfrac1s + \dfrac14 \times \dfrac1{s-1} + \dfrac1{12} \times \dfrac1{s+3}[/tex]
Take the inverse transform:
[tex]\boxed{y(t) = -\dfrac13 + \dfrac{e^t}4 + \dfrac{e^{-3t}}{12}}[/tex]
Find the equation of a line perpendicular to 2x + 4y = -8 that passes through the
point (-4,4).
Answer:
2y-×+12=0
Step-by-step explanation:
ıf two lisesi are perpendicular to each other the product of their slope is -1 2×+y = -8 y=-2×-8 m =-2 m×-2=-1 m = -1/-2 =1/2 equtaion of a straight line with a known point a slope ( y - y1) = m (×-×1) later ( y+4) = 1/2 (×-4) later 2y+8 =×-4 2y -×+12=0 my english is bad i hope it was helpful
What is subtract two-fifths from 4 times g as an algebraic expression.
Answer:
4g-2/5
Step-by-step explanation:
Write an explicit formula for an, the nth term
of the sequence 11, 2, -7
Answer:
b(n) = 15 - 7(n - 1)
Step-by-step explanation:
Answer:
aₙ = 11 - 9(n - 1)
Step-by-step explanation:
2 - 11 = (-7) - 2 = -9
So it is an arithmetic sequence
a₁ = 11
a₂ = 2 = 11 + (-9) = 11 + (2 - 1)*(-9)
a₃ = -7 = 2 + (-9) = 11 + (-9) + (-9) = 11 + (3 - 1)*(-9)
.....
aₙ = 11 + (n - 1) * (-9)
or
aₙ = 11 - 9(n - 1)
