Answer:
Step-by-step explanation:
Yes.
All you have done is changed the order. They are exactly the same.
You can sort of verify this by using
-4 + 6 - 8 + 2 = - 4
2 + 6 - 4 - 8 =
8 - 12 = - 4
A car is travelling at a constant speed until the car’s brakes are applied. The car’s speed changes at a rate given by -0.08t ms^{-2} after the brakes are applied, where t s is the time since the brakes were applied. 3 seconds after the brakes are applied, the speed of the car is 5 ms^{-1} . How far will the car travel with the brakes applied before it stops?
The car will travel a distance of 52.08 seconds will the brakes applied before it stops
The acceleration of the car after t seconds that the brake was applied is given as:
[tex]a=-0.08t m/s^2[/tex]
The speed of the car after 3 seconds that the brake was applied, u = 5 m/s
The speed of the car when it eventually stops, v = 0m/s
3 seconds after the brake was applied:
The time, t = 3 seconds
substitute t = 3 into the acceleration [tex]a=-0.08t m/s^2[/tex]
[tex]a=-0.08(3)m/s^2\\\\a = -0.24m/s^2[/tex]
To calculate the distance traveled by the car after the brakes are applied, use the equation below
[tex]v^2=u^2+2as[/tex]
Substitute u = 5, a = -0.24, and v = 0 into the equation above in order to calculate the distance
[tex]0^2=5^2+2(-0.24)s\\\\0=25-0.48s\\\\0.48s = 25\\\\s = \frac{25}{0.48}\\\\s = 52.08 m[/tex]
The car will travel a distance of 52.08 seconds will the brakes applied before it stops
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One non-negative number is the reciprocal of another number. The sum of the two numbers is a minimum. What are the two numbers
The two numbers are 1 and 1.
Let the non-negative number be x and its reciprocal be y = 1/x
The sum of the two numbers is f(x,y) = x + y
= x + 1/x
= f(x)
For f(x) to be minimum, we differentiate it with respect to x and equate it to zero to find the value of x at which irt is minimum.
So, df(x)/dx = d(x + 1/x)/dx
= dx/dx + d(1/x)/dx
= 1 - 1/x²
Equating it to zero, we have
1 - 1/x² = 0
1 = 1/x²
x² = 1
Taking square-root of both sides, we have
x = ±√1
x = ±1
Since x is non-negative x = + 1
We differentiate f(x) again to determine if this value gives a minimum for f(x).
So, d²f(x)/dx² = d(1 - 1/x²)/dx
= d1/dx - d(1/x²)/dx
= 0 - × (-2/x³)
= 2/x³
Substituting x = 1 into the equation,
d²f(x)/dx² = 2/x³
= 2/1³
= 2 > 0.
So x = 1 is a minimum point for f(x)
Since x = 1 and y = 1/x, y = 1/1 = 1
So, the two numbers are 1 and 1.
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In a survey of 280 adults over 50, 75% said they were taking vitamin supplements. Find the margin of error for this survey if we want a 99% confidence in our estimate of the percent of adults over 50 who take vitamin supplements. (Round to the nearest thousandths.)
The margin of error for this survey if we want a 99% confidence in our estimate of the percent is 0.067
The formula for calculating the margin of error is expressed as:
[tex]e= z \cdot \sqrt{\frac{p(1-p)}{n} }[/tex]
p is the proportion
n is the sample size
Given the following parameters;
p = 75% = 0.75
n = 280
z = 2.576
Substitute into the formula
[tex]e=\sqrt{\frac{0.75(1-0.75)}{280} }\\e=\sqrt{\frac{0.1875}{280} } \\e=\sqrt{0.0006964} \\e=0.0258 \times 2.576\\e \approx 0.067[/tex]
Hence the margin of error for this survey if we want a 99% confidence in our estimate of the percent is 0.067
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what is the greatest number of obtuse angles that a right triangle can contain
Step-by-step explanation:
i think this is the answer
Answer:
ZeroStep-by-step explanation:
Obtuse angle is the angle greater than 90°.
A right triangle has one 90° and the sum of remaining angles is 90°.
It means a right triangle can't have an obtuse angle.
consider the following :
[tex]f(x) = {x}^{2} - x + 2 \div x - 2 = x + 1 + 4 \div x - 2[/tex]
which polynomials do you think we should call the divisor,dividend,quotient and remainder ?
Step-by-step explanation:
remainder=4
quotient=x+1
divisor=x-2
dividend=x^2 -x +2
What's the kinetic energy of an object that has a mass of 12 kilograms and moves with a velocity of 10 m/s?
Answer:
Step-by-step explanation:
Assuming it has no spin
KE = ½mv²
KE = ½(12)10²
KE = 600 J
help me please guys! for the most brain lol
Answer:
-3<-1
-3[tex]\leq[/tex]-1
Step-by-step explanation:
[tex]\leq[/tex] Means less than or equal to
< Means less than
Work out the area of a rectangle with base, b = 5.3mm and height, h = 4mm.
Answer:
21.2 mm²
Step-by-step explanation:
Area of rectangle = base x height.
A(r) = b x h
Plug in the corresponding numbers to the corresponding variables:
A(r) = 5.3 x 4
A(r) = 21.2
21.2 mm² is your answer.
Can someone help me please
Answer:
I = $650
A = $23,580
Step-by-step explanation:
First question
I = ?, P = $1000, R= 5%, T = 13
[tex]I = \frac{P*R*T}{100}=\frac{1000*5*13}{100}= 650[/tex]
Therefore, interest = $650
Second...
P = $15, 000, R = 5.2%, T = 11, I = ? A= ?
[tex]I = \frac{P*R*T}{100}=\frac{15000*5.2*11}{100}= 8580[/tex]
To find A, we add the principal with the interest
A = P + I = $15,000 + $8580 = $23,580
1.
Write the equation of the parabola in vertex form.
A. y = –(x – 1)2 + 3
B. y = –x2 – 4
C. y = –x2 + 3
D. y = –x2 + 4
[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{o pens~\cap}\qquad \stackrel{"a"~is~positive}{o pens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\begin{cases} h= 0\\ k = 4 \end{cases}\implies y=a(x-0)^2+4~\hfill \textit{we also know that} \begin{cases} x = 1\\ y = 3 \end{cases} \\\\\\ 3=a(1-0)^2+4\implies 3=1a+4\implies \boxed{-1=a} \\\\\\ y=-1(x-0)^2+4\implies \blacktriangleright y = -x^2+4\blacktriangleleft[/tex]
Answer:
A. y = –(x – 1)2 + 3 = Rewrite in vertex form and use this form to find the vertex (h,k). (1,3)= Already in vertex form. y=−(x−1)2+3
OR
D. y = –x^2 + 4 = Rewrite in vertex form and use this form to find the vertex (h,k). (0,4)= Find the vertex form. y=−(x+0)2+4
Step-by-step explanation:
A. y = –(x – 1)2 + 3 = Rewrite in vertex form and use this form to find the vertex (h,k). (1,3)= Already in vertex form. y=−(x−1)2+3
B. y = –x^2 – 4 = Rewrite in vertex form and use this form to find the vertex (h,k). (0,−4)= Find the vertex form. y=−(x+0)2−4
C. y = –x^2 + 3 = Rewrite in vertex form and use this form to find the vertex (h,k). (0,3)= Find the vertex form. y=−(x+0)2+3
D. y = –x^2 + 4 = Rewrite in vertex form and use this form to find the vertex (h,k). (0,4)= Find the vertex form. y=−(x+0)2+4
show how the work is done and help and have to be fast with math
Answer:
Answer is 14
Step-by-step explanation:
By understanding the concept of math
Answer: you mom
Step-by-step explanation:
If Brianna spent $65 on necklaces and bracelets at a crafts fair.
She spent $23 on bracelets and the rest on necklaces.
If the necklaces all cost the same and Brianna bought 3, how much did each necklace cost?
write 90 cm as percentage of a metre??
Answer: 90%
Step-by-step explanation:
90 cm is 0.9 m
and 0.9 m is 90% of 1 m
Question 9 (5 points)
(03.04 LC)
The sum of two numbers is 52. The greater number is 4 more than the smaller number. Which equation can be used to solve for the smaller number? (5 points)
a
x − (x + 4) = 52
b
x + (x + 4) = 52
c
x(x + 4) = 52
d
x(x − 4) = 52
Question 10 (5 points)
(03.05 MC)
Gavin needs $80 to buy a fish tank. He has saved $8 and plans to work as a babysitter to earn $9 per hour. Which inequality shows the minimum number of hours, n, that Gavin should work as a babysitter to earn enough to buy the fish tank? (5 points)
a
8 + 9n ≥ 80, so n ≥ 8
b
8 + 9n ≤ 80, so n ≤ 8
c
9n ≥ 80 + 8, so n ≥ 9.8
d
9n ≤ 80 + 8, so n ≤ 9.8
Question 11 (5 points)
(03.05 MC)
Natalie works in a toy shop and earns $43 per day. She earns an extra $3 for each toy she sells. If Natalie wants to earn at least $70 per day, which inequality shows the minimum number of toys, n, that she should sell? (5 points)
a
43 + 3n ≥ 70, so n ≥ 9
b
43 + 3n ≤ 70, so n ≤ 9
c
43 + 3n ≥ 70, so n ≥ 24
d
43 + 3n ≤ 70, so n ≤ 24
Question 12 (5 points)
(03.05 MC)
Chad wants to buy some books over the Internet. Each book costs $10.01 and has a shipping cost of $9.96 per order. If Chad wants to spend no more than $50 for his books, which inequality shows the maximum number of books, p, that he can buy? (5 points)
a
9.96p − 10.01p ≤ 50, so p ≤ 1
b
9.96p + 10.01p ≤ 50, so p ≤ 2
c
9.96 − 10.01p ≤ 50, so p ≤ 3
d
9.96 + 10.01p ≤ 50, so p ≤ 4
Answer:
9. B, 10. A, 11. A, 12. DStep-by-step explanation:
Question 9The smaller number is x, the greater number is x + 4, their sum is 52:
x + (x + 4) = 52Correct choice is B
Question 10$8 and 9n should sum at least $80:
8 + 9n ≥ 80 ⇒ 9n ≥ 72 ⇒ n ≥ 8Correct choice is A
Question 11$43 and 3n should sum at least $70:
43 + 3n ≥ 70 ⇒ 3n ≥ 27 ⇒ n ≥ 9Correct choice is A
Question 12P books cost $10.01p and $9.96 for shipping, the total should be no more than $50:
9.96 + 10.01p ≤ 50 ⇒ 10.01p ≤ 40.04 ⇒ p ≤ 4Correct choice is D
Someone help me on PART B:
Step-by-step explanation:
given expression,
4(3x - 1) - 2(6 + 2x)
given,
x = 12.5
so q/q
→ 4[3(12.5) - 1] - 2[6 + 2(12.5)]
→ 4(37.5 - 1) - 2(6 + 25)
→ 4 × 36.5 - 2 × 31
→ 146 - 62
→ 84
therefore, 84 articles store received last Thursday.
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE.
Answer:
84
Step-by-step explanation:
Donny jumped from a rock into a lake. The rock is 35 feet above water. He dove 15 feet below the surface of the water. His brother says he traveled 20 feet in all. Donny says he traveled 50 feet in all. Who correct?
Simplify this problem?
Answer:
-22
Step-by-step explanation:
mark this brainliest and rate 5 stars if it helped :)
16.12 divided by 52 QUICK
0.31
Ok Hope it’s correct ;)
Pls help. The question is on the picture
Volume of the square part" 20 x 20 x 37 = 14,800 m^3
Volume of a cone ( round part): PI x r^2 x h/3 = 3.14 x 10^2 x 37/3 = 3,872.67 m^3
The1/4 of the circle is inside the square so multiply the volume of the cone by 3/4:
3872.67 x 3/4 = 2904.50m^3
Total volume = 14,800 + 2904.50 = 17,704.50
Round to nearest m = 17,705 m^3
If X is a factor of Y and Y is a factor of Z then X is a factor of Z. If so then how
PLS HELP HELP HELP HELP HELP HELP HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
then z is a factor of x??? huh??
Cumulative GPA (CGPA) of a student is defined as the sum of the product of all grades multiplied by the credits of the corresponding class, divided by the sum of all credits. For instance consider a student took three courses with 3, 3, and 4 credits. Assume that the grades of this student from these courses are 4.0, 3.7, and 3.3.
The CGPA of this student is: __________
Answer:
probably about 3.5
Step-by-step explanation:
How do you write as an expression of inequality, then solve it?
Twice a number is more than the sum of that number and 8
Answer:
2x > x + 8
x > 8
Step-by-step explanation:
(Twice a number) (is more than) (the sum of that number and 8)
2x > x + 8
2x > x + 8
Subtract x from both sides
x > 8
Help help math help help help math
Step-by-step explanation:
We know that angles on a straight line add up to 180, so:
5x+5+5x+5=180
Simplify
10x+10=180
Solve
Take away 10 from both sides
10x=170
Divide 170 by 10
x = 17
Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 10 people took the trip. She was able to purchase coach tickets for $160 and first class tickets for $1020. She used her total budget for airfare for the trip, which was $8480. How many first class tickets did she buy? How many coach tickets did she buy?
Answer: 6 coach class tickets and 2 first class tickets
Step-by-step explanation:
Is there a proportional relationship between x and y? Explain.
Answer:
c
Step-by-step explanation:
14-11=3
12-9=3
10-7=3
8-5=3
Answer:
A
Step-by-step explanation:
It isn’t proportional because when you graph the coordinates, it doesn’t pass the origin, so it isn’t equivalent. Therefore, making the answer A.
How do I do this question!
Answer:2 x 3
Step-by-step explanation:
Answer: [tex]\frac{7}{10}[/tex]
Step-by-step explanation:
2[tex]\frac{1}{10}[/tex] barrels of almonds to make 3 batches of granola bar.
We need to turn fraction 2[tex]\frac{1}{10}[/tex] into a mixed number
2[tex]\frac{1}{10}[/tex] → [tex]\frac{21}{10}[/tex]
Now we set up an equation.
[tex]\frac{\frac{21}{10} }{3} =\frac{x}{1}[/tex]
Solve for x by cross multiplying and dividing.
[tex]\frac{21}{10}[/tex] ÷ 3 (KCF)
[tex]\frac{21}{10}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{21}{30}[/tex]
Now we simplify the fraction.
[tex]\frac{21}{30}[/tex] → [tex]\frac{7}{10}[/tex]
[tex]\frac{7}{10}[/tex] barrels of almonds were used in each batch.
A factory made 900 jars of peanut butter. 35% of the jars contained creamy peanut butter. How many jars of creamy peanut butter did the factory make?
Answer:
315 jars
Step-by-step explanation:
This question is merely another way of writing: what is 35% of 900?
Now, when we look at it that way, it's easy to solve.
So, the way to solve is to either multiply 35% by 900, or just interpret that as 0.35 times 900. Anyway, the result is 315.
I hope this helped a bunch! Tell me if you need any further assistance...
( :
a coin is flipped 3 times and lands on heads each time. What is the probability of it landing on tails on the fourth flip?
Answer:
1/4
Step-by-step explanation:
since the dice would be rolled 4 times, and the dice rolled heads 3 times, the probability of the coin land8ng of tail on the 4th flip is 1/4
The probability of it landing on tails on the fourth flip will be 1/4.
What is probability?
Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favorable outcomes / Number of sample
Given that a coin is flipped 3 times and lands on heads each time. The probability of getting head on the fourth flip will be:-
Probability = Number of favorable outcomes / Number of sample
Number of favorable outcomes = tails = 1
Number of samples = 4
Probability = 1 / 4
Therefore, the probability of it landing on tails on the fourth flip will be 1/4.
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Use the elimination method to solve the system of equations. Choose the correct orderly pair.
2x+4y=16
2x-4y=0
A. (2,-4)
B. (4,-2)
C. (2,4)
D. (4,2)
(2x+4y=16).....1
(2x-4y=0).....2
then take equation 1 plus 2
4x=16
x=4
then take equation 2 to solve for y
2x-4y=0
(2×4)-4y=0
y=2
therefore answer is D. (4,2)
1,200 miles; 5% increase
Answer:
5%equals 5 divided by 100 equals 600
