[tex]\sf \longmapsto-x + 8 + 3x = x - 6[/tex]
Combine like terms[tex]\sf \longmapsto(−x+3x)+(8)=x−6[/tex]
[tex]\sf \longmapsto2x+8=x−6[/tex]
Subtract x from both sides[tex]\sf \longmapsto2x+8−x=x−6−x[/tex]
[tex]\sf \longmapsto \: x+8=−6[/tex]
Subtract 8 from both sides[tex]\sf \longmapsto \: x+8−8=−6−8[/tex]
[tex]\sf \longmapsto \: x=−14[/tex]
[tex] \sf \: x = - 14[/tex]
Answer:
x = -14
Step-by-step explanation:
Equation:
-x + 8 + 3x = x - 6
Solution:
-x + 8 + 3x = x - 62x+8 = x-62x - x +8 = -6x + 8 = -6x = -6-8x = -14Second choice is accurate.
Consider the initial value problem:
2tyâ²=8y, y(1)=â2. 2tyâ²=8y, y(1)=â2.
Required:
a. Find the value of the constant C and the exponent r so that y=Ct^r is the solution of this initial value problem.
b. Determine the largest interval of the form a < t < b on which the existence and uniqueness theorem for first order linear differential equations guarantees the existence of a unique solution.
c. What is the actual interval of existence for the solution (from part a)?
Answer:
Following are the solution to the given point:
Step-by-step explanation:
In point a:
[tex]\to 2ty'=8y\to \frac{1}{y} dy = 4 \frac{1}{t} dt\\\\\to \int \frac{1}{y} dy = 4 \int \frac{1}{t} dt \\\\\to \log y = 4 \log t + \log C\\\\\to \log y = \log ct^4\\\\\to y=ct^4 \\\\\to y(-2)=16 \\\\\to 16= c(-2)^4\\\\\to 16= 16c\\\\\to c= \frac{16}{16}\\\\\to c=1\\\\\to r=4[/tex]
In point b:
[tex]\to 2ty' = 8y \\\\\to y'- \frac{4}{t} y=0 \\\\here \ p(t) = \frac{1}{t}[/tex] it's a discontinuous point at t=0, and the largest internal containing -2 since [tex]y=(-2) = 16 \ is\ (-\infty, 0)[/tex]
In point c:
[tex](-\infty,0 ) \cup (0, \infty)[/tex]
hidden cost of being a teacher?
Answer:
they have to pay for school supplies
Step-by-step explanation:
Josh is hanging out on his third floor balcony when he hears his friend in the parking lot below. His friend asks Josh to toss him a phone. The height of
the phone in feet can be modeled by A(z) = -162? +32x + 48, where x is seconds after Josh throws the phone.
a) How long does it take for the phone to hit the ground?
Seconds
b) How high is Josh's balcony above the parking lot? 64
feet
c) What was the maximum height the phone reached?
Teet
d) When did it reach this mascimum height?
seconds
2
3
4
Answer:
3 seconds
Step-by-step explanation:
what is the midpoint between a(2,-2) and B (-3, 2)
Answer:
Midpoint (xM, yM) = (4, 5)
Hope it helps if it does pls give me brainly :)
Please I need help badly I also have stuff on my account
Answer:
y=80 I'm pretty sure lmk if it's wrong
Answer:
40
Step-by-step explanation:
edgunity
luke had 49 crackers. he gave a equal amount to his 4 friends . how many crackers where left over?
The diameter of bushings turned out by a manufacturing process is a normally distributed random variable with a mean of 4.035 mm and a standard deviation of 0.005 mm. A sample of 25 bushings is taken once an hour. (a) Within what interval should 95 percent of the bushing diameters fall
Complete question is;
The diameter of bushings turned out by a manufacturing process is a normally distributed random variable with a mean of 4.035 mm and a standard deviation of 0.005 mm. A sample of 25 bushings is taken once an hour.
a. Within what range should 95 percent of the bushing diameters fall?
b. Within what range should 95 percent of the sample means fall?
c. What conclusion would you reach if you saw a sample mean of 4.020?
Answer:
A) (4.0252, 4.0448).
B) (4.0331, 4.0369).
C) If i saw a sample mean of 4.020, i would conclude that the sample came from a population that did not have a population mean equal to 4.035
Step-by-step explanation:
A) We know that an approximate 95% confidence interval for the item in question has a range of diameter given by the equation;
Range = x¯ ± 1.96σ
Now, since we have a mean of 4.035 mm and a standard deviation of 0.005 mm, we can solve;
Range of bushing diameter = 4.035 ± (1.96 × 0.005) = 4.035 ± (0.0098)
= 4.0252 or 4.0448 and it can be written as;(4.0252, 4.0448).
B) We also know that In the large-sample case, a 95% confidence interval estimate for the population mean is given by the formula;
CI = x¯ ± (1.96s/√n))
Thus, if we solve, we get;
CI = 4.035 ± (1.96 × 0.005 )/√25
CI = 4.035 ± 0.0019
or (4.0331, 4.0369).
c. If i saw a sample mean of 4.020, i would conclude that the sample came from a population that did not have a population mean equal to 4.035 because it doesn't fall into the range of confidence intervals we got earlier.
From a collection of 124 poems, 36 are sonnets, 42 are odes, and 46 are free verse. A poem is
selected from the collection at random. Find the probability that it is a sonnet or an ode. Express
your answer to the nearest whole percent.
A 49 percent
B 63 percent
C 83 percent
D 77 percent
Answer:
63
Step-by-step explanation:
36 is approximately 30% of 124 and 42 is approximately 33% of 124, so 30 + 33 = 63
Answer:
Answer, B
Step-by-step explanation:
add the odes and sonnets, and find the percentage of 78/124 which is 62.9% rounded to 63%.
the value of the digit 2 in the thousands place
Answer:
2,000 is the value of the digit 2 in the thousands place
Which of the following would be the slope of the line perpendicular to the line y=1/3x+3
Answer:
Step-by-step explanation:
-3
perpendicular slope is the negative of the reciprocal
the reciprocal of 1/3 is 3
the opposite of 3 = -3
2 is 12.5& of the number
Answer:
if you ment to say 2 is 12.5% of what number the answer would be 16
Step-by-step explanation:
Write down what you know with x as the number you need to find.
Of is always "multiply"
Choose another way to write 12.5%
2 =12.5% of x
So 2 = 0.125xx
x= 2 *over*0.125
x=16
Answer:
x=16
Step-by-step explanation:
Let the number be x.
if they say 12.5% of a number, this means that 12.5/100 *x which will be :
12.5/100x
make it an equation (a true one)
12.5/100x=2
divide.
2 divided by 12.5/100x would be
x=16!
Cheers, I hope you can understand it well!
Plz help fast. Thank you and if you solve this you will earn 15 points. Just plz help. And if you add an explanation to your answer I might mark Brainiest. Plz just help.
Answer:
-5.1, -14/3, -4
Step-by-step explanation:
Answer:
Step-by-step explanation -14 ,-15.1 -14/3
Plz anserw this. THANK YOU.
I will give brainelst
Answer:
[tex]m\angle 3=30^\circ,~m\angle 8=150^\circ[/tex]
Step-by-step explanation:
Angles and Lines
We must recall some properties of angles and lines:
Linear pair of angles: Two angles are linear if they are adjacent angles formed by two intersecting lines. They must add up to 180°.
Corresponding angles: They are angles that occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are congruent, i.e., they have the same measure.
The figure shows two parallel lines a and b, crossed by the line m. These conditions make the following relations be true:
Angles 3 and 4 are linear pair
Angles 8 and 4 are corresponding.
The first relation leads to:
[tex]m\angle 3+m\angle 4 = 180^\circ[/tex]
The second relation leads to:
[tex]m\angle 4 = m\angle 8[/tex]
Since:
[tex]m\angle 3=x[/tex]
[tex]m\angle 8=5x[/tex]
Substituting:
[tex]x + 5x = 180^\circ[/tex]
Simplifying:
[tex]6x = 180^\circ[/tex]
Solving for x:
[tex]x = 180^\circ/6[/tex]
[tex]x = 30^\circ[/tex]
Now,
[tex]m\angle 3=x=30^\circ[/tex]
[tex]m\angle 8=5x=150^\circ[/tex]
[tex]m\angle 3=30^\circ,~m\angle 8=150^\circ[/tex]
Help what should I write
Answer:
not multiplying 3 by 5 it should be 15 over 10 and not 3 over 30
Step-by-step explanation:
What is 2 ( 14+3) times 12 divided by 2?
Answer:
Step-by-step explanation:
Simplify. 2(5/3 + 3/4) - 4/3
A) 13/12
B) 11/4
C) 3
D) 7/2
Answer:
13/12
Step-by-step explanation:
2(5/3+3/4)_4/3
2(20+9/12)_4/3
2(29/12)_4/3
58/24_4/3
58_32/24
26/24
13/12
QR is the midsection of triangle GHJ, what is the length of QR?
Answer:
Step-by-step explanation:
QR = 27 ÷ 2 = 13.5
Math algebra honors?!?
The scale factor for the reduction is . The length of A = 20 (one-fifth) = 4 feet What is the length of B? B = feet
Answer:
1/5 5
Step-by-step explanation:
Answer: The scale factor for the reduction is 1/5. B= 5 feet
Step-by-step explanation:
The scale factor for the reduction is 1/5.
The length of A=20 (1/5)= 4 feet
What is the length of B?
B= 5 feet
what is the value of x in teh equation 1/5x-2/3y=30, when y=15
Answer:
x=200Step-by-step explanation:
Given the equation
[tex]\frac{1}{5}x-\frac{2}{3}y=30[/tex]
putting y=15
[tex]\frac{1}{5}x-\frac{2}{3}\left(15\right)=30[/tex]
[tex]\frac{1}{5}x-10=30[/tex]
add 10 to both sides
[tex]\frac{1}{5}x-10+10=30+10[/tex]
[tex]\frac{1}{5}x=40[/tex]
[tex]x=200[/tex]
Therefore, the value of x:
x=200The circumference of a circle is equal to n times its diameter. Estimate the circumference of a round swimming pool that has a diameter of 24 feet. Use n=3.14. *
Answer: An estimate done quickly: The circumference is about 75 ft.
Step-by-step explanation:
Round π to 3, and 24 to 25. 3 times 25 is 75
A more exact value would be 75.36
3.14 × 24 = 75.36
2.0 PLZZ help thank you
Answer: So if you do 50 dollars - 70% you get, 15 U.S. dollars
Hope this helps :)
An item costs $0.11 per ounce. If the total cost of the item is $8.80, how many
ounces are in the item?
Answer:
88
Step-by-step explanation:
A pile of string measures to be 4 5/6 feet long. For a project Ms. Thompson wants to cut the long piece of string into several smaller pieces. Each piece that she cuts will measure 2/3 feet. How many whole pieces can she cut from the original piece of string if each piece is 2/3 feet long?
Answer:
7 pieces
Step-by-step explanation:
change 4 5/6 into an irregular fraction. 29/6
divide 29/6 by 2/3. to do this, flip and multiply
29/6 * 3/2 = 87/12 = 7.25 or 7 whole pieces
20c - 8d? need help kinda hard
Answer:
the answer is 4(5c-2d)
Answer:
20c-8d
Step-by-step explanation:
As long as you weren't any values for c or d, this expression cannot be simplified any further.
HTH :)
2(x - 5) = 9 -3x + 6 + 8 + 3x + 7
Answer:
x = 20
Step-by-step explanation:
2(x - 5) = 9 - 3x + 6 + 8 + 3x + 7
2x - 10 = 9 - 3x + 6 + 8 + 3x + 7
2x = 10 + 6 + 8 + 7 + 9
2x = 40
x = 40 ÷ 2
x = 20
Thus, x = 20
-TheUnknownScientist
Explain the process to solve the equation. Use proper vocabulary in your explanation. One-fourth x = negative five-eighths
Answer:
-2.5
Step-by-step explanation:
Your want to isolate the x. This is a multiplication problem, so use the inverse operation, which is division. Divide both sides of the equation by
1/4 by multiplying by the reciprocal, 4. (− 5
8)(4) is − 5/2. Use substitution to check the answer. x = − 5/2 :)
Answer: First, you isolate x by dividing 1/4 on both sides.
1/4x divided by 1/4 equals zero, which just leaves x, and -5/8 divided by 1/4 equals -5/2, so x = -5/2. -5/2 can be simplified to -2.5,
To check the answer, substitute x for -5/2:
* 1/4 multiplied by -5/2 equals -5/8
* 5/8 = 5/8, so this proves that my answer is correct.
8. Jordyn bought a $50 cell phone case that was discounted 15%. Taxes were 5%. What was her total
cost?
Explained pls
Given: AB≅ BC and AK ≅ KC, ∠AKE ≅ ∠CKP, Prove: ∆AKE ≅ ∆CKP
PLEASE HELP!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
Given:
AB ≅ BC
AK ≅ KC
∠AKE ≅ ∠CKP
To Prove:
ΔAKE ≅ ΔCKP
Statements Reasons
1). AB ≅ BC 1). Given
2). ∠BAC ≅ ∠BCA 2). Property of Isosceles triangles
3). ∠EKA ≅ ∠PKC 3). Given
4). ΔAKE ≅ ΔCKP 4). ASA Postulate of congruence
Hence ΔAKE ≅ ΔCKP.
The Canadian side of Niagara Falls has a flow rate of 600,000 gallons per second. How many gallons of water flow over the falls in 1 minute?
Answer:
hope this helps 3,160 tons of water flows over Niagara Falls every second. This accounts for 75,750 gallons of water per second over the American and Bridal Veil Falls and 681,750 gallons per second over the Horseshoe Falls.
Step-by-step explanation:
brainlist would help thx