Answer:
-5i and 5i cannot be roots of the equation, since they are complex.
Step-by-step explanation:
A 3-degree polynomial equation must have 3 roots, if one of its roots is a complex number, then its conjugate must also be a root of the function. The problem already stated two roots, which are reals, therefore the last root must also be real. Using this line of thought we know that -5i and 5i cannot be roots of the equation, since they're complex.
There were 35,000 hardback copies of a certain novel sold before the paperback version was issued. From the time the first paperback copy was sold until the last copy of the novel was sold, nine times as many paperback copies as hardback copies were sold. If a total of 448,000 copies of the novel were sold in all, how many paperback copies were sold
Answer:
3,717,000
Step-by-step explanation:
The calculation of paperback copies is shown below:-
Let us assume hardback copies is x, so paperback copies will be 9x
now the equation is
35,000 + x + 9x = 448,000
10x = 448,000 - 35,000
10x = 413,000
[tex]= \frac{413,000}{10}[/tex]
= 41,300
Therefore, the paperback copies are
= [tex]9\times 41,300[/tex]
= 3,717,000
Hence, the paperback copies is 3,717,000
Suppose that you collect data for 15 samples of 30 units each, and find that on average, 2.5 percent of the products are defective. What are the UCL and LCL for this process? (Leave no cells blank - be certain to enter "0" wherever required. Do not round intermediate calculations. Round up negative LCL values to zero. Round your answers to 3 decimal places.)
Answer:
The UCL is [tex]UCL = 0.054[/tex]
The LCL is [tex]LCL \approx 0[/tex]
Step-by-step explanation:
From the question we are told that
The quantity of each sample is n = 30
The average of defective products is [tex]p = 0.025[/tex]
Now the upper control limit [UCL] is mathematically represented as
[tex]UCL = p + 3 \sqrt{\frac{p(1-p)}{n} }[/tex]
substituting values
[tex]UCL = 0.025 + 3 \sqrt{\frac{0.025 (1-0.025)}{30} }[/tex]
[tex]UCL = 0.054[/tex]
The upper control limit (LCL) is mathematically represented as
[tex]LCL = p - 3 \sqrt{\frac{p(1-p)}{n} }[/tex]
substituting values
[tex]LCL = 0.025 - 3 \sqrt{\frac{0.025 (1-0.025)}{30} }[/tex]
[tex]LCL = -0.004[/tex]
[tex]LCL \approx 0[/tex]
Stuck Right now, Help would be appreciated :)
Answer:
C. c = (xv - x) / (v - 1).
Step-by-step explanation:
v = (x + c) / (x - c)
(x - c) * v = x + c
vx - vc = x + c
-vc - c = x - vx
vc + c = -x + vx
c(v + 1) = -x + vx
c = (-x + vx) / (v + 1)
c = (-x + xv) / (v + 1)
c = (xv - x) / (v + 1)
So, the answer should be C. c = (xv - x) / (v + 1).
Hope this helps!
pleasssssseeeeeeeeeeeeeeeeeeee
━━━━━━━☆☆━━━━━━━
▹ Answer
0.5 = 1/2 and the rectangle with 3 cubes shaded in
0.6 = 60/100 and circle with three parts shaded in
0.8 = Rectangle with 8 cubes shaded and 4/5
▹ Step-by-Step Explanation
You can convert the fractions into decimals, and count the shaded parts for the shaded images.
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Which equation represents the line passing through points A and C on the graph below? On a coordinate plane, point A is at (2, 3), point B is at (negative 2, 1), point C is at (negative 4, negative 3), and point D is at (4, negative 5). y= negative x minus 1 y = negative x + 1 y = x minus 1 y = x + 1
The equation that represents the line that passes through the points A and C is y = x + 1
What is a linear equation?A linear equation is an equation that has a constant rate or slope, and is represented by a straight line
The points are given as:
(x,y) = (2,3) and (-4,-3)
Calculate the slope, m using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
So, we have:
[tex]m = \frac{-3 -3}{-4 - 2}[/tex]
Evaluate
m = 1
The equation is then calculated as:
y = m *(x - x1) + y1
So, we have:
y = 1 * (x - 2) + 3
Evaluate
y = x - 2 + 3
This gives
y = x + 1
Hence, the equation that represents the line that passes through the points A and C is y = x + 1
Read more about linear equations at:
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Answer:
y = x + 1
Step-by-step explanation:
Edge2020
Find all solutions to the equation.
7 sin2x - 14 sin x + 2 = -5
If yall can help me for Pre-Calc, that would be great.
-Thanks.
If the equation is
[tex]7\sin^2x-14\sin x+2=-5[/tex]
then rewrite the equation as
[tex]7\sin^2x-14\sin x+7=0[/tex]
Divide boths sides by 7:
[tex]\sin^2x-2\sin x+1=0[/tex]
Since [tex]x^2-2x+1=(x-1)^2[/tex], we can factorize this as
[tex](\sin x-1)^2=0[/tex]
Now solve for x :
[tex]\sin x-1=0[/tex]
[tex]\sin x=1[/tex]
[tex]\implies\boxed{x=\dfrac\pi2+2n\pi}[/tex]
where n is any integer.
If you meant sin(2x) instead, I'm not sure there's a simple way to get a solution...
Nika baked three loaves of zucchini bread. Each cake needed StartFraction 17 over 4 EndFraction cups of flour. Which expression shows the best estimate of the number of cups of flour that Nika used? 4 + 4 + 4 = 12 5 + 5 + 5 = 15 4 + 4 + 4 = 16 17 + 17 + 17 = 51
Answer:
(A)4 + 4 + 4 = 12
Step-by-step explanation:
Each of Nika's cake needed 17/4 cups of flour. Now, we know that:
[tex]\dfrac{17}{4}=4.25 \approx 4[/tex]
Therefore, for three loaves of bread, the best estimate of the number of cups of flour Nika used is:
4 + 4 + 4 = 12
The correct option is A.
Answer:
The correct answer is A.)4 + 4 + 4 = 12
Find the length of a side of a square whose diago- nal is 16 cm long. Round your answer to the nearest tenth.
Answer:
11.3 cm
Step-by-step explanation:
(see attached for reference)
using the Pythagorean theorem
hypotenuse ² = length ² + length ²
16² = L² + L²
16² = 2L² (express 2 = (√2)²
16² = (√2)²L²
16² = (√2L)²
16 = √2L
L = 16 /√2
L = 11.3 cm
11.3
use Pythagoras theorem give each side is "a"
a^2+a^2=16^2
2*a^2=256
a^2=256/2=128
a=sqrt(128)=11.3 sqrt=square root
Factor completely
7a^2+53a+28
Hello! :)
____________ ☆ ☆____________________
Answer:
(7a+4)⋅(a+7)
Step-by-step explanation:
First you have to multiply... 7x28=196
Now find the factors of 196
Factor: 53
Add the first two terms
Add up the four terms and you get your answer
ANSWER: (7a + 4) • (a + 7)
_____________ ☆ ☆___________________
Hope this helps! :)
By BrainlyMember ^-^
Good luck!
c. Find the price of 16 shirts if 5 costs GH¢80
Answer:
16 shirts = GH¢256
Step-by-step explanation:
If 5 shirts cost GH¢80
Let's determine the price of 16 shirts by cross multiplying the values
This method of evaluating answers is one of the essential methods .
It's just Making sure that the values within each side of the wall to symbol crosses each other.
But one shirt = GH¢80/5
one shirt = GH¢16
So
5 shirts= GH¢80
16 shirts = (16 shirts * GH¢80)/5 shirts
16 shirts = GH¢1280/5
16 shirts = GGH256
Chloe has a budget of $800 for costumes for the 18 members of her musical theater group. What is the maximum she can spend for each costume?
Answer:
$42.10
Step-by-step explanation:
Assuming that she did not yet buy a costume for herself, 800 dollars divided among 18 people plus herself is equal to $42.10 maximum per person.
Answer:
44.44
Step-by-step explanation:
800 didvided by 18.
The area of this parallelogram is 120 ft2 find the value of h
Answer: 6
Step-by-step explanation:
A=bh plus 120 for A and 20 for B
120=20b
/20 divide by 20 each side
H=6
Suppose the displayed ask is $20.05 for 100 shares and the displayed bid is $20 for 150 shares. What happens if another dealer places a limit order to buy 50 shares for $20.02?
Answer:
There will be no transaction
Step-by-step explanation:
Given:
Displayed ask price = $20.05 for 100 shares
Displayed bid price = $20 for 150 shares
Explain:
If a limit order to buy = 50 shares for $20.02
Computation:
Displayed bid will be not accepted because, displayed bid price is for 150 shares not 100 shares
Limited order will be also not accepted.
So, there will be no transaction.
The half-life of a certain substance is 5.9 days. How many days will it take for 30g of the substance to decay to 12g?
Answer:
7.8 DAYS
Step-by-step explanation:
The time taken for the substance to reach 12g is 7.8 days
The half-life of a substance is the time taken for it to reach half it's initial value.
I will list some formula and concepts which are of importance to this topic but not necessarily this question.
In solving this problem, we may need the formula to calculate half life of a substance which is given as.
[tex]T_\frac{1}{2}= In2/[/tex]λ
where λ = Disintegration constant.
Disintegration ConstantBut to find this constant, we need to use another formula
[tex]N=N_oe^-yt\\\frac{N}{N_o}= e^-yt\\[/tex]
where the values are
N = Mass of sample at time (t)No = Initial mass of sampleλ = Disintegration constantt = time Time TakenHowever,
[tex]n=\frac{Log_e\frac{No}{N} }{Log_e2}[/tex]
Everything remains the same as above but only a slight change now
n = number of half livesSubstituting the values,
[tex]n = \frac{Log_e(\frac{30}{12}) }{log_e2}\\n = 1.32[/tex]
Since n stands for the half life passed within time (t)
The time taken would be
[tex]t = 1.32 * 5.9\\t =7.8[/tex]
The time taken for the substance to reach 12g is 7.8 days.
Learn more about half-life here;
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evaluate -x+4 when x = -2
Answer:
6
Step-by-step explanation:
=> -x+4
Given that x = -2
=> -(-2)+4
=> 2+4
=> 6
Answer:
6
Step-by-step explanation:
You just have to input -2 into the statement and then solve
= -(-2) + 4
= 2+ 4
= 6
evaluate -x+4 when x = -2
Answer:
6Step-by-step explanation:
f(x)=-x+4
f(-2)=-(-2)+4
f(-2)=+2+4
f(-2)=6
Answer:
6
Step-by-step explanation:
-(-2)+4=___
+(+2)+4=6
How does a perpendicular bisector divide a triangle
graph the linear equation. Find three points that solve the equation, then plot on the graph. -3y=-x-6
Answer:
hope u get it.......!!
Given
f(x) = 2x2 + 1
and
g(x) = 3x - 5
find the following.
f-g
Answer:
The answer is
2x² - 3x + 6Step-by-step explanation:
f(x) = 2x² + 1
g(x) = 3x - 5
To find f - g(x) subtract g(x) from f(x)
That's
f-g(x) = 2x² + 1 - (3x - 5)
= 2x² + 1 - 3x + 5
= 2x² - 3x + 6
Hope this helps you
Please someone help!!!
Answer:
Step-by-step explanation:
A, B and C must be real numbers, and A and B are not both zero (which would cause division by zero in the calculation of the slope).
A car is traveling on Michigan Street towards Ward Street. The car planes to turn right into Ward Street. what is the angle measure of the turn.
Pls help ASAP
the polynomial p(x)=x^3-7x-6 has a known factor of (x+1) rewrite p(x) as a product of linear factors p(x)=
Answer:(x+1)(x+2)(x-3)
Because..
Find the length of a leg of a right triangle (in inches) if the other leg measures 9 in. and the hypotenuse measures 19 in. Round to the nearest thousandth. __________________ in
Answer:
a = 16.733
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
a^2 + 9^2 = 19^2
a^2 = 19^2 - 9^2
a^2 = 361-81
a^2 =280
Taking the square root of each side
sqrt(a^2) = sqrt(280)
a = 16.73320053
Rounding to the nearest thousandth
a = 16.733
Which of the following relations is a function?
A{(1, 3), (2, 3), (4,3), (9. 3)}
B{(1, 2), (1, 3), (1.4), (1,5)}
C{(5, 4), (-6, 5), (4, 5), (4, 0)}
D{(6,-1), (1, 4), (2, 3), (6, 1)}
. Jayvon bakes two small circular cakes that are 8 inches across their widest point and 3 inches high. He removes the cake from the pans to frost them. Jayvon would like a consistent quarter-inch deep layer of frosting. How many cubic inches of frosting does he need for the cakes if he wants to frost only the top and sides of each cake
Answer:
20π in³ or 62.832 in³
Step-by-step explanation:
The surface area for each cake is given by:
[tex]S=\pi r^2+2\pi rh[/tex]
Where 'r' is the radius of each cake (4 inches), and 'h' is the height of each cake (3 inches). Since there are two cakes, the total surface area is:
[tex]A=2*(\pi r^2+2\pi rh)\\A=2*(\pi 4^2+2\pi*4*3)\\A=80\pi\ in^2[/tex]
If Jayvon wants a consistent quarter-inch deep layer of frosting covering the surface of the cakes, the volume of frosting required is:
[tex]V=80\pi *0.25\\V=20\pi\ in^3 = 62.832\ in^3[/tex]
He needs 20π in³ or 62.832 in³ of frosting.
Which of the following p values will lead us to reject the null hypothesis if the level of significance equals .05?
a. 0.100
b. 0.051
c. 0.150
d. 0.015
Answer:
So then our significance level is [tex]\alpha=0.05[/tex] and we need to remember these two conditions:
1) If the p value [tex]p_v <\alpha[/tex] we have enough evidence to reject the null hypothesis at the significance level given
2) If the p value [tex]p_v \geq \alpha[/tex] we have enough evidence to FAIL reject the null hypothesis at the significance level given
And baed on the options we see that the only possibility would be:
d. 0.015
Step-by-step explanation:
We want to know for which value we would REJECT the null hypothesis.
So then our significance level is [tex]\alpha=0.05[/tex] and we need to remember these two conditions:
1) If the p value [tex]p_v <\alpha[/tex] we have enough evidence to reject the null hypothesis at the significance level given
2) If the p value [tex]p_v \geq \alpha[/tex] we have enough evidence to FAIL reject the null hypothesis at the significance level given
And baed on the options we see that the only possibility would be:
d. 0.015
A heavy rope, 30 ft long, weighs 0.4 lb/ft and hangs over the edge of a building 80 ft high. Approximate the required work by a Riemann sum, then express the work as an integral and evaluate it.How much work W is done in pulling half the rope to the top of the building
Answer:
180 fb*lb
45 ft*lb
Step-by-step explanation:
We have that the work is equal to:
W = F * d
but when the force is constant and in this case, it is changing.
therefore it would be:
[tex]W = \int\limits^b_ a {F(x)} \, dx[/tex]
Where a = 0 and b = 30.
F (x) = 0.4 * x
Therefore, we replace and we would be left with:
[tex]W = \int\limits^b_a {0.4*x} \, dx[/tex]
We integrate and we have:
W = 0.4 / 2 * x ^ 2
W = 0.2 * (x ^ 2) from 0 to 30, we replace:
W = 0.2 * (30 ^ 2) - 0.2 * (0 ^ 2)
W = 180 ft * lb
Now in the second part it is the same, but the integral would be from 0 to 15.
we replace:
W = 0.2 * (15 ^ 2) - 0.2 * (0 ^ 2)
W = 45 ft * lb
Following are the calculation to the given value:
Given:
[tex]length= 30 \ ft\\\\mass= 0.4 \ \frac{lb}{ft}\\\\edge= 80 \ ft \\\\[/tex]
To find:
work=?
Solution:
Using formula:
[tex]\to W=fd[/tex]
[tex]\to W=\int^{30}_{0} 0.4 \ x\ dx\\\\[/tex]
[tex]= [0.4 \ \frac{x^2}{2}]^{30}_{0} \\\\= [\frac{4}{10} \times \frac{x^2}{2}]^{30}_{0} \\\\= [\frac{2}{10} \times x^2]^{30}_{0} \\\\= [\frac{1}{5} \times x^2]^{30}_{0} \\\\= [\frac{x^2}{5}]^{30}_{0} \\\\= [\frac{30^2}{5}- 0] \\\\= [\frac{900}{5}] \\\\=180[/tex]
Therefore, the final answer is "[tex]180\ \frac{ lb}{ft}[/tex]".
Learn more:
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The weights of steers in a herd are distributed normally. The standard deviation is 300lbs and the mean steer weight is 1100lbs. Find the probability that the weight of a randomly selected steer is between 920 and 1730lbs round to four decimal places.
Answer:
The probability that the weight of a randomly selected steer is between 920 and 1730 lbs
P(920≤ x≤1730) = 0.7078
Step-by-step explanation:
Step(i):-
Given mean of the Population = 1100 lbs
Standard deviation of the Population = 300 lbs
Let 'X' be the random variable in Normal distribution
Let x₁ = 920
[tex]Z = \frac{x-mean}{S.D} = \frac{920-1100}{300} = - 0.6[/tex]
Let x₂ = 1730
[tex]Z = \frac{x-mean}{S.D} = \frac{1730-1100}{300} = 2.1[/tex]
Step(ii)
The probability that the weight of a randomly selected steer is between 920 and 1730 lbs
P(x₁≤ x≤x₂) = P(Z₁≤ Z≤ Z₂)
= P(-0.6 ≤Z≤2.1)
= P(Z≤2.1) - P(Z≤-0.6)
= 0.5 + A(2.1) - (0.5 - A(-0.6)
= A(2.1) +A(0.6) (∵A(-0.6) = A(0.6)
= 0.4821 + 0.2257
= 0.7078
Conclusion:-
The probability that the weight of a randomly selected steer is between 920 and 1730 lbs
P(920≤ x≤1730) = 0.7078
Answer:
0.7975
Step-by-step explanation:
What is the approximate length of minor arc LM? Round
to the nearest tenth of a centimeter.
12.4 centimeters
15.7 centimeters
31.4 centimeters
36.7 centimeters
Answer:
Length of the arc LM = 15.7 cm
Step-by-step explanation:
To determine the length of the arc LM we have to find the circumference of the the big circle then divide by the ratio of the angle or go straight to use the radians as the angle and look for the length.
Radius= 30cm
π= 3.142
Value of the angle is in radians
360° = 2π
π = 180
π/6 = 180/6
π/6= 30
Value of the angle is 30°
Length of the arc = 2πr * 30/360
Length of the arc = 2πr/12
Length of the arc = πr/6
Length of the arc = 30π/6
Length of the arc =5π
Length of the arc = 5*3.142
Length of the arc = 15.71
Approximately Length of the arc
= 15.7cm
Answer:
B. 15.7cm
Step-by-step explanation:
Find the sum. A. 4x2 – x – 5 B. 10x2 + 7x – 5 C. –10x2 + 7x + 11 D. 4x2 + x – 11
Answer:
A
Step-by-step explanation:
7x² - 4x - 8 - [ -3x² - 3x - 3]
In subtraction, flip the sign of all terms in the minuend
7x² - 4x - 8
3x² + 3x + 3
4x² - x - 5