Answer: 2 = |x − 47|
Step-by-step explanation:The total weight of the container and the nuts is x ounces. The desired weight of the container and the nuts is (45 + 2), or 47 ounces. The absolute error allowed is 2 ounces.
absolute error = |actual weight − desired weight|
Substituting the values, the equation obtained is 2 = |x − 47|.
3/7 is it< or> then 3/5
Two ways of solving:
1. Convert the fractions to decimals:
3/7 = 0.42857
3/5 = 0.6
0.42857 < 0.6
So 3/7 < 3/5
Second way is to rewrite the fractions with a common denominator:
3/7 = 15/35
3/5 = 21/35
Now compare the numerators:
15 < 21 so 3/7 < 3/5
at a maximum speed an airplane travels 2100 miles against the wind in 6 hours. Flying with the wind, the plane travel the same distance in 4 hours. what is the speed of the plane with no wind?
Step-by-step explanation:
Let w be the speed of wind and v be speed of airplane without wind.
[tex]average \: speed = \frac{total \: distance }{total \: time} [/tex]
(A)
[tex]speed \: against \: wind( v - w) = \frac{2100}{6} = 350mph[/tex]
(B)
[tex]speed \: with \: wind(v + w) = \frac{2100}{4} = 525mph[/tex]
(C)
Adding equations A and B, we get :
(v - w) + (v + w) = 350 + 525
2v = 875
V = 437.5 mph
If A is the set of all natural numbers, choose the set B that will make the following statement true
(See photo)
Answer:
b= {1,2,3,4} is the answer
123567543 what is the value of 3
Answer:
3 would be 3 million
Step-by-step explanation:
(2x3)over 2-5 over 2
Answer:
2x3/2-5/2
=6/-3/2
=-1
6 divide by 2 is +3 and +3 divide by - 3 equals - 1
In ΔKLM, the measure of ∠M=90°, the measure of ∠L=18°, and KL = 8.3 feet. Find the length of MK to the nearest tenth of a foot.
Answer:
2.6 ft
Step-by-step explanation:
8.3/sin 90 = MK/sin 18
MK = 8.3 sin 18 / sin 90
MK = 2.6 ft
Answer:
2.6
Step-by-step explanation:
Calculate the surface area of the prism. Measurements are in centimetres
Please help me asap!!!! The correct answer is 2804
Answer:
2804 cm²
Step-by-step explanation:
Total area comprises of 6 faces: 2 trapezoids and 4 rectangles
Trapezoid = 1/2*(14+32)*24 = 552 cm² eachBottom = 17*32 = 544 cm²Top = 14*17 = 238 cm²Right side = 17*24 = 408 cm²Left side = 17*√((24² + (32-14)²) = 17* √900 = 17*30 = 510 cm²Total area:
552*2 + 544 + 238 + 408 + 510 = 2804 cm²
4-2(3+2) ²
2.
Help me plz i need the help
Answer:
-46 is your answer.
Step-by-step explanation:
=4-2(3+2)^2
=4-2(5)^2
=4-2(5✖️5)
=4-2(25)
Opening brackets to simplify
=4-50
=-46 is your answer.
Hope it will help you :)
Answer:
-46
Step-by-step explanation:
[tex]4 - 2(3 + 2)^{2} \\ [/tex]
PEDMAS
[tex]4 - 2(5)^{2} \\ 4 - 2(25) \\ 4 - 50 \\ = - 46[/tex]
Will mark brainliest who answers fastest and right
Answer: 330 people
Step-by-step explanation:
added them all up
On a distant planet, a ball is thrown upwards from ground level , reaching a maximum height of 12m and hitting the ground again in eight seconds. Determine a quadratic equation in the form a * x ^ 2 + bx + + c =0 that could be used to calculate when the ball is a height of 3m. Do not solve the equation
Answer:
(-3 ÷ 4)x^2 + 6x
Step-by-step explanation:
Data provided in the question
Maximum height = 12m
Number of seconds = 8
Height = 3m
Based on the above information, the quadratic equation is as follows
Since it took 8 seconds for reaching the maximum height and then it returned to the ground level so here the highest point is done after 4 seconds also this graph represents the motion in parabola so the a should be negative
Now it is mentioned that
a × x ^ 2 + bx + c =0
We can assume that
x = 0
x = 8
As these {0.8} are intercepts of x
When x = 0, then it would be
a × 0 ^ 2 + b(0) + c = 0 .................... (i)
Therefore 0 = 0
Now x = 8, it would be
a × 8 ^ 2 + b(8) + c = 0
Therefore a(8)^2 + b(8) + c = 0 ..................(ii)
As we can see that in the first equation c should be zero
While the second equation would be
64a + 8b = 0
i.e.
8a = -b or a = -b ÷ 8
Now as per the quadratic function, it appears
(-b ÷8)x^2 + bx + 0
Now the parabola vertex is (4, 12)
Now put this in the place of a
(-b ÷ 8)(4)^2 + b(4) = 12
Now for solving this b, all terms should be multiplied by 8
That comes
-b(16) + 32b = 96
16b = 96
So, b = 6.
As a = -b ÷8
a = -6 ÷ 8
a = -3 ÷4
Now the equation is
= (-3 ÷ 4)x^2 + 6x
Hence, this is the equation
Use the given confidence interval limits to find the point estimate p^ and the margin of error E. 0.325
Answer:
0.350
Step-by-step explanation:
Confidence interval = point estimate ± margin of error
Point estimate = Confidence interval - margin of error
To get the margin of error, we will take the average of the difference of the interval given. Given the confidence interval 0.325<p<0.375
Margin of error = 0.375-0.325/2
Margin of error = 0.050/2
Margin of error = 0.025
Using the interval of 0.375
Point estimate = 0.375 - 0.025
Point estimate = 0.350
If the principal is $350 and the interest rate is 3 percent, what is the simple interest earned in one year?
simple interest = Pxrxt
Answer:
The simple interest earned in one year is $10.5
Step-by-step explanation:
Simple interest = p × r × t
Where,
p = principal
r = interest rate
t = time
Principal= $350
Interest rate = 3%
=3/100
=0.03
Time= 1 year
Simple interest = p × r × t
= $350 × 0.03 × 1
= $10.5
The simple interest earned in one year is $10.5
pt 3 2-7 pleasee helpp
Answer:
-3x - 6 - 1
- 3x + 7
4x
Step-by-step explanation:
A motorcyclist starts from rest and reaches a speed of 6m/s after travelling with uniform acceleration for 3s .
the question is what is his acceleration?
by calculation
Acceleration = final speed - initial speed / time
Acceleration = 6 m/s - 0 / 3s
Acceleration = 6m/s / 3s
Acceleration = 2 m/s^2
Answer:
[tex]\Huge \boxed{\mathrm{2 \ m/s^2 }}[/tex]
Step-by-step explanation:
[tex]\displaystyle acceleration = \frac{final \ velocity - initial \ velocity}{elapsed \ time}[/tex]
[tex]\displaystyle A = \frac{V_f - V_i}{t}[/tex]
The initial velocity is 0 m/s.
The final velocity is 6 m/s.
The elapsed time is 3 s.
[tex]\displaystyle A = \frac{6 - 0}{3}[/tex]
[tex]\displaystyle A = \frac{6}{3}=2[/tex]
The acceleration is 2 m/s².
Please help! Find the domain of y = 4 square root 4x + 2
Answer:
x ≥ -1/2
Step-by-step explanation:
We know that we cannot graph imaginary numbers. Therefore, our x value has to be greater than or equal to 0:
To find our domain, we need to set the square root equal to zero:
√(4x + 2) = 0
4x + 2 = 0
4x = -2
x = -1/2
We now know that no value below -1/2 can be used or we will get an imaginary number. Therefore, our answer is x ≥ -1/2
Alternatively, we can graph the function and analyze domain:
Evaluate 8/13 divided by 2/3
Answer:
24/26
Step-by-step explanation:
8/13 divided by 2/3 is the same as:
8/13 times 3/2
8X3= 24
13X2= 26
answer = 24/26
Answer:
12 / 13
Step-by-step explanation:
8 / 13 ÷ 2 / 3 ------ just flip 2/3 to --->> 3/2 then multiply
8 / 13 x 3 / 2 = (8 * 3) / (13 * 2)
= 24 / 26
therefore,
= 12 / 13 is the answer
What is 25+543\43 squared
Answer:
i think the answer is 0.3071
Step-by-step explanation:
But I might be wrong
It is never possible for the theoretical and experimental probabilities to be the same. T or F
Answer:
False
Step-by-step explanation:
Right on Odyssey
It is never possible for the theoretical and experimental probabilities to be the same which is false.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
Theoretical and experimental probability can be the same in some circumstances.
For example, the theoretical and experimental chance of rolling a fair six-sided dice and receiving a 3 is 1/6. However, the theoretical and experimental probabilities will differ in many other cases due to factors such as sampling error or differences between the idealized model and the real-world situation.
Thus, the statement is false.
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ3
If you use a 0.10 level of significance in a two-tail hypothesis test, what is your decision rule for rejecting a null hypothesis that the population mean equals 500 if you use the Z test
Answer:
Our decision rule will be to reject The null hypothesis H0 if the test statistic is less than -1.645, or if it is greater than +1.645.
Step-by-step explanation:
The hypotheses would be;
Null hypothesis;H0: μ = 500
Alternative hypothesis;Ha: μ ≠ 500
Since it's two - tailed at 0.1 level of significance, then each tail will contain 5% or 0.05. From the z-table attached, the corresponding critical value of 0.05 is approximately 1.645 standard deviations from the mean.
Thus, our decision rule will be to reject The null hypothesis H0 if the test statistic is less than -1.645, or if it is greater than +1.645.
(10c^6d^-5)(2c^-5d^4)
10c^6d^-5×2c^-5d^4
20cd^-1
20c×1/d
20c/d
Janice published a novel. Last month the book sold 1307 copies, earning Janice a total of $1408.4. This month the book sold 1409 copies. How much should Janice expect to receive in royalties this month?
Answer:
$1518.31
Step-by-step explanation:
Books sold = 1307
Earning from 1307 copies = $1408.4
Earning from one copy:
1408.4/1307Earning from 1409 copies expected:
1409*1408.4/1307 ≈ 1518.31Please Help! Best gets Brainlest
Answer:
A. g=11
Step-by-step explanation:
We want to find which choice makes the equation true. Let's plug in each answer choice.
A. g=11
26=7(11-9)+12
26= 7(2)+12 Solve inside the parentheses.
26= 14+12 Multiply 7 and 2.
26= 26 Add 14 and 12.
This answer must be correct, but let's check the other choices .
B. g=12
26=7(12-9)+12
26= 7(3)+12 Solve inside the parentheses.
26= 21+12 Multiply 7 and 3.
26≠33 Add 14 and 12.
This choice is not correct.
C. g= 13
26=7(13-9)+12
26= 7(4)+12 Solve inside the parentheses.
26= 28+12 Multiply 7 and 4.
26≠40 Add 28 and 12.
This is also not correct.
D. g= 14
26=7(14-9)+12
26= 7(5)+12 Solve inside the parentheses.
26= 35+12 Multiply 7 and 5.
26≠47 Add 35 and 12.
This choice is not correct either.
The value of g that make the expression 26=7(g-9)+12 a true statement is A. g=11.
Anyone help?? A screenshot is attached below
Answer:
113°
Step-by-step explanation:
By remote interior angle theorem:
a + 35° = a - 30° + a - 48°
a + 35° = 2a - 78°
35° + 78° = 2a - a
113° = a
a = 113°
Find the absolute extrema for f(x,y)=4-x^2-y^4+1/2y^2 over the closed disk D:x^2+y^2 is less than or equal to 1
Find the critical points of [tex]f(x,y)[/tex]:
[tex]\dfrac{\partial f}{\partial x}=-2x=0\implies x=0[/tex]
[tex]\dfrac{\partial f}{\partial y}=y-4y^3=y(1-4y^2)=0\implies y=0\text{ or }y=\pm\dfrac12[/tex]
All three points lie within [tex]D[/tex], and [tex]f[/tex] takes on values of
[tex]\begin{cases}f(0,0)=4\\f\left(0,-\frac12\right)=\frac{65}{16}\\f\left(0,\frac12\right)=\frac{65}{16}\end{cases}[/tex]
Now check for extrema on the boundary of [tex]D[/tex]. Convert to polar coordinates:
[tex]f(x,y)=f(\cos t,\sin t)=g(t)=4-\cos^2-\sin^4t+\dfrac12\sin^2t=3+\dfrac32\sin^2t-\sin^4t[/tex]
Find the critical points of [tex]g(t)[/tex]:
[tex]\dfrac{\mathrm dg}{\mathrm dt}=3\sin t\cos t-4\sin^3t\cos t=\sin t\cos t(3-4\sin^2t)=0[/tex]
[tex]\implies\sin t=0\text{ or }\cos t=0\text{ or }\sin t=\pm\dfrac{\sqrt3}2[/tex]
[tex]\implies t=n\pi\text{ or }t=\dfrac{(2n+1)\pi}2\text{ or }\pm\dfrac\pi3+2n\pi[/tex]
where [tex]n[/tex] is any integer. There are some redundant critical points, so we'll just consider [tex]0\le t< 2\pi[/tex], which gives
[tex]t=0\text{ or }t=\dfrac\pi3\text{ or }t=\dfrac\pi2\text{ or }t=\pi\text{ or }t=\dfrac{3\pi}2\text{ or }t=\dfrac{5\pi}3[/tex]
which gives values of
[tex]\begin{cases}g(0)=3\\g\left(\frac\pi3\right)=\frac{57}{16}\\g\left(\frac\pi2\right)=\frac72\\g(\pi)=3\\g\left(\frac{3\pi}2\right)=\frac72\\g\left(\frac{5\pi}3\right)=\frac{57}{16}\end{cases}[/tex]
So altogether, [tex]f(x,y)[/tex] has an absolute maximum of 65/16 at the points (0, -1/2) and (0, 1/2), and an absolute minimum of 3 at (-1, 0).
Please help!! Attachment below
Answer:
hamburger =282 calories
soda=212 calories
Step-by-step explanation:
2h+5c=1624 ...............×3
3h+2c=1270 ................×2
use eliminate method: multiply the first equation by 3, and second one by 2 to eliminate h first:
6h+15c= 4872
6h+4c=2540
subtract the two equations
6h+15c-6h-4c=4872-2540
11c=2332
c=2332/11
c=212 calories in soda
substitute c in any equation to get h
2h+5c=1624
2h+5(212)=1624
2h=1624-1060
2h=564
h=564/2=282
h=282 calories
check :
2(282)+5(212)=
564+1060=1624
3h+2c=1270
3(282)+2(212)=1270
HELP ASAP ROCKY!!! will get branliest.
Answer:
Graph B
Step-by-step explanation:
In a negative linear association between x and y, we are looking for a graph that:
A. Doesn't curve - is completely straight
B. Decreases in y as x increases (because slope is rise over run)
We know that graphs C and D are eliminated because they aren't linear.
We can also tell that graph A is eliminated because it shows a positive association.
So Graph B is all that's left.
Hope this helped!
Answer:
Graph B
Step-by-step explanation:
A negative linear equation has a straight line that goes down, making B the answer.
v−6(−3v+3) how do i do this and can you show me with work
Answer:
19v - 18
Step-by-step explanation:
Hello!
v - 6(-3v + 3)
Distribute the -6
-6 * -3v = 18v
-6 * 3 = -18
v + 18v -18
Combine like terms
19v - 18
The answer is 19v - 18
Hope this helps!
Answer:
V=6;v=1
Step-by-step explanation:
(V-6)(-3v+3)
-3v^2+3v+18v-18
-3v^2+21v-18
Multiple it by minus one we will get
3v^3-21v+18
Now breaking by midterm
3v^2-18v-3v+18
3v(v-6)-3(v-6)
(V-6)(3v-3)
V=6;v=1
sameer usually drinks 3 cups of coffee in the morning. How many liters of coffee does he drink? Round your answer to the nearest tenth
Answer: 0.7 liters
Step-by-step explanation:
First convert 3 cups to Liters
3 cups = 0.709765
Now round 0.709765 to the nearest 10 which give you 0.7
Answer:
0.7 liters Hope this helps!
Step-by-step explanation:
The quotient of a number and 7 is equal to 13
Answer:
91
Step-by-step explanation: 7*13 = 91
91/7 = 13
Is -4 a irrational number?
Answer:
No.
Step-by-step explanation:
Irrational numbers are numbers that you can't solve like 3 squared. See you can't find the end of 3 squared, the numbers will go on forever just like pi.
Answer:
No
Step-by-step explanation:
A rational number can be written as the ratio of integers
-4/-1 = -4
This is a rational number