log13 X + log13 (12x-1)=1
Solve for x by simplifying both sides of the equation, then isolating the variable.
x ≈ 0.13893498
N is one of the numbers below. N is such that when multiplied by 0.75 gives 1. Which number is equal to
N?
A) 1 1/2
B 1 1/3
C) 5/3
D) 3/2
Answer:
it should be letter c 5/3 I could be wrong but I hope this help
PLZ ANSWER QUESTION IN PICTURE
Answer: [tex]y=\frac{1}{3}x+\frac{13}{3}[/tex]
Step-by-step explanation:
(slope = m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{4-6}{-1-5}=\frac{-2}{-6}=\frac{1}{3}[/tex]
[tex]y=mx+b, (5,6), (-1,4), m=\frac{1}{3}[/tex]
[tex]y=mx+b\\6=\frac{1}{3}(5)+b\\b=6-\frac{5}{3} \\b=\frac{13}{3}\\y=\frac{1}{3}x+\frac{13}{3}[/tex]
Your true height is 70.2 inches. A laser device at a health clinic that gives measurements to thenearest hundredth reads your height as 71.05 inches. A tape measure gives reading to the nearest haftinches gives your height as 69.5 inches. State which measurement is more precise and which measurementis more accurate and explain why.
Answer:
Accuracy = Tape measurement.
Precision = Laser measurement
Step-by-step explanation:
Given that :
True height, = 70.2 inches
Laser measured height = 71.05 (nearest hundredth)
Tape measured height = 69.5 - nearest half inch.
Accuracy simply means how close a measured value is to the true value of the measurement. ;
True height - tape measurement
70.2 - 69.5 = 0.7
True measurement - laser measurement :
|70.2 - 71.05| = 0.85
Fron the difference in the values, the measurement which is closer to the true height is the tape measurement.
However, in terms of detail in the measured value, the laser measure value is expressed to the nearest hundredth, hence giving it more precision over the tape measured value.
The survey included a random sample of 640 western residents and 540 northeastern residents. 39% of the western residents and 51% of the northeastern residents reported that they were completely satisfied with their local telephone service. Find the 99% confidence interval for the difference in two proportions
Answer:
The 99% confidence interval for the difference in two proportions is (0.0456, 0.1944).
Step-by-step explanation:
Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Western residents:
39% out of 640, so:
[tex]p_1 = 0.39[/tex]
[tex]s_1 = \sqrt{\frac{0.39*0.61}{640}} = 0.0193[/tex]
Eastern residents:
51% out of 540, so:
[tex]p_2 = 0.51[/tex]
[tex]s_2 = \sqrt{\frac{0.51*0.49}{540}} = 0.0215[/tex]
Distribution of the difference:
[tex]p = p_2 - p_1 = 0.51 - 0.39 = 0.12[/tex]
[tex]s = \sqrt{s_2^2+s_1^2} = \sqrt{0.0215^2+0.0193^2} = 0.0289[/tex]
Confidence interval:
[tex]p \pm zs[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
The lower bound of the interval is:
[tex]p - zs = 0.12 - 2.575*0.0289 = 0.0456[/tex]
The upper bound of the interval is:
[tex]p + zs = 0.12 + 2.575*0.0289 = 0.1944[/tex]
The 99% confidence interval for the difference in two proportions is (0.0456, 0.1944).
rewrite 7/10 and negative 2/5
Please help ASAP please help me
9514 1404 393
Answer:
C) 12 cm
Step-by-step explanation:
In a 30°-60°-90° triangle, the ratios of side lengths are ...
1 : √3 : 2
This means the hypotenuse (AC) is 2/√3 times the length of the long side (AB).
(10 cm)(2/√3) = 20/√3 cm ≈ 11.55 cm
Rounded to the nearest cm, the length of AC is 12 cm.
Triangle ABC has vertices of A(-6, 7), B(4, -1), and C(-2, -9). Find the length of the median from ZB in triangle ABC
A. 4
B. 18
C. 8
D. 768
Please select the best answer from the choices provided
Ο Α
D
9514 1404 393
Answer:
C. 8
Step-by-step explanation:
The median from vertex B is the line segment between there and the midpoint of side AC. That midpoint is ...
D = (A +C)/2 = ((-6, 7) +(-2, -9))/2 = (-8, -2)/2 = (-4, -1)
So, we want the length of the line between (-4, -1) and (4, -1). These points are on the same horizontal line (y=-1), so the length is the difference of the x=coordinates:
median AD = 4 -(-4) = 8 . . . . units in length
Solve the equation for x 11x=110
Find the center and radius of the circle (x + 1)^2 + y^2 = 4
Answer:
(-1,0) r=2
Step-by-step explanation:
the equation of a circle can be written as (x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
3x² 2x+4 =0
What's the number of Solutions?
3x-2x+4=0 how many solutions???
Answer:
it's no solution
Step-by-step explanation:
3(x^2 - 2*1/3*x+1/9) + 11/3 > 0
so it's no solution
Can somebody help me
Answer:
The x interceprs are (-3,0) and (2,0)
Step-by-step explanation:
The reason is that when you plug in a -3 in the left parentheses it would become 0, and any number times 0 would be zero, making the equation equal to zero. The same would be true for the terms in the right parentheses, plugging in a two would make it equal to zero. This would make the entire equation equal to zero, finding you the x intercepts.
What fraction must be subtracted from the sum of 1/4 and 1/6 to have an average of 1/12 of all the two fractions
Answer:
so 1/3 must be subtracted from the sum of 1/4 and 1/6 to have an average of 1/12 of all the two fractions.
Step-by-step explanation:
let the fraction be x
(1/4 + 1/6)-x = 1/12
or, 10/24 - x = 1/12
or, 5/12-1/12 = x
so, x = 4/12 = 1/3
John is trying to convert an area from meters squared to millimeters squared. He multiplied the area he had by 1,000 and got the wrong answer. What should he have multiplied the original area by?
1,000
1,000,000
10
100
Answer:
1,000,000
Step-by-step explanation:
length increased by 1000
width increased by 1000
1000 * 1000 = 1,000,000
Answer:
hlo buddy
can u msg me.......,.
Please due in 1 hour
I hope that helped you
9514 1404 393
Answer:
d + q = 440.10d +0.25q = 8.30Step-by-step explanation:
The first equation describes the total number of coins. It says the sum of the numbers of dimes and quarters is 44, the total number of coins.
__
The second equation describes the total value of the coins. It will say that 0.10 times the number of dimes plus 0.25 times the number of quarters is 8.30, the total dollar value of the coins.
The two equations are ...
d + q = 44
0.10d +0.25q = 8.30
__
Additional comment
The solution can be found by substituting for d:
0.10(44 -q) +0.25q = 8.30
0.15q = 3.90
q = 26
d = 44 -26 = 18
Vinnie has 18 dimes and 26 quarters in his bag.
A square steel bar has a length of 5.1 ft and a 2.7 in by 2.7 in cross section and is subjected to axial tension. The final length is 5.10295 ft . The final side length is 2.69953 in . What is Poisson's ratio for the material
Answer:
The Poisson's ratio for the material is 0.0134.
Step-by-step explanation:
The Poisson's ratio ([tex]\nu[/tex]), no unit, is the ratio of transversal strain ([tex]\epsilon_{t}[/tex]), in inches, to axial strain ([tex]\epsilon_{a}[/tex]), in inches:
[tex]\nu = -\frac{\epsilon_{t}}{\epsilon_{a}}[/tex] (1)
[tex]\epsilon_{a} = l_{a,f}-l_{a,o}[/tex] (2)
[tex]\epsilon_{t} = l_{t,f}-l_{t,o}[/tex] (3)
Where:
[tex]l_{a,o}[/tex] - Initial axial length, in inches.
[tex]l_{a,f}[/tex] - Final axial length, in inches.
[tex]l_{t,o}[/tex] - Initial transversal length, in inches.
[tex]l_{t,f}[/tex] - Final transversal length, in inches.
If we know that [tex]l_{a,o} = 61.2\,in[/tex], [tex]l_{a,f} = 61.235\,in[/tex], [tex]l_{t,o} = 2.7\,in[/tex] and [tex]l_{t,f} = 2.69953\,in[/tex], then the Poisson's ratio is:
[tex]\epsilon_{a} = 61.235\,in - 61.2\,in[/tex]
[tex]\epsilon_{a} = 0.035\,in[/tex]
[tex]\epsilon_{t} = 2.69953\,in - 2.7\,in[/tex]
[tex]\epsilon_{t} = -4.7\times 10^{-4}\,in[/tex]
[tex]\nu = - \frac{(-4.7\times 10^{-4}\,in)}{0.035\,in}[/tex]
[tex]\nu = 0.0134[/tex]
The Poisson's ratio for the material is 0.0134.
What is the approximate volume of the
pyramid if the base area is 625 square
feet and the height is 50 feet?
Answer:
10417 cubic units (to nearest unit)
Step-by-step explanation:
A formula for the volume of pyramids (and cones--"pointy" things) is one-third times the area of the base times the height.
[tex]V=\frac{1}{3}Bh[/tex] where B is the area of the base.
[tex]V=\frac{1}{3}(625)(50) \approx 10417[/tex] cubic units (rounded)
Help me please
Hurry
For all questions, use the concept of angles at a point (360°).
I also suggest and recommend that you specify the questions you need help with. It is best if you don't ask your homework here, because homework should be done by you yourself.
For the polynomial 6xy2-5x?y?+9x? to be a trinomial with a degree of 3 after it has been fully simplified, what is the
missing exponent of the y in the second term?
0
e 1
2.
x 3
Answer:
The exponent of y is 1
Step-by-step explanation:
Given
[tex]6xy^2 - 5x^{[]}y^{[]} + 9x^{[]}[/tex]
[tex]degree = 3[/tex]
Required
The exponent of y (second term)
Since the polynomial has a degree of 3, the exponents of y will decrease from left to right (i.e. 2,1,0) while x will increase from left to right (i.e. 1,2,3)
So, we have:
[tex]6xy^2 - 5x^{[]}y^{[]} + 9x^{[]} = 6xy^2 - 5x^{[2]}y^{[1]} + 9x^{[3]}[/tex]
Remove square brackets
[tex]6xy^2 - 5x^{[]}y^{[]} + 9x^{[]} = 6xy^2 - 5x^2y + 9x^3[/tex]
The second term is:
[tex]T_2 =5x^2y[/tex]
The exponent of y is 1
7. Find the missing side. Round to the nearest tenth
Hi there!
[tex]\large\boxed{x \approx 19.6}[/tex]
We can use right triangle trigonometry to solve.
We are given the angle's adjacent side and are trying to solve for the hypotenuse, so:
Use cosine: cos Ф = A / H
Thus:
cos 30° = 17 / H
Simplify:
0.866 = 17 / H
Isolate for H:
H · 0.866 = 17
H = 17 / 0.866
H = 19.63 ≈ 19.6
Answer:
x = 19.6
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos 30 = 17/x
x cos 30 = 17
x = 17/cos 30
x=19.62990
To the nearest tenth
x = 19.6
The answer to the picture please
the required ans is 3√b+b/3b
helppppp plsss ??? plssss ??
Answer:
3 is correct dear i hope it will help uA bird that was perched atop a 15-foot tree dives down six feet to a branch below. How
the bird's new location?
Answer:
I will b you and your 5AM 88feet
Diện tích xung quanh của hình chóp tứ giác đều có cạnh bằng 6cm và độ dài trung đoạn bằng 10cm là:
A. 120 cm2 B. 240 cm2 C. 180 cm2 D. 60 cm2
Answer:
A
Step-by-step explanation:
(6.2).10=120cm²
Đáp án đó chúc bạn học tốt
Please help I will mark brainliest to who ever is rigjt
Answer:
(1,0) and (0,4)
Step-by-step explanation:
Crosses the x axisWhen f(x) will cross the x axis, the y coordinate will turn 0, so 0=-5^(x)+5, 5=5^(x) Which is possible when x=1. So (1,0)
Crosses the y axisWhen f(x) will cross the y axis, the x coordinate will turn 0, so f(0)=-5^(0)+5, f(0)=-1+5=4. So (0,4)
PLEASEEEE PLEASEEEE HELPPPP
i need an equation for a vertical line going through f(x) = 2x^2 + 6x + 2
Answer:
dont understand clearly
Step-by-step explanation:
dont understand clearly
The Laplace Transform of a function f(t), which is defined for all t > 0, is denoted by L{f(t)} and is defined by the improper integral L{f(t)}(s) = infinity 0 e-st.f(t)dt, as long as it converges. Laplace Transform is very useful in physics and engineering for solving certain linear ordinary differential equations. (Hint: think of as a fixed constant)
1. Find L{t}. (hint: remember integration by parts)
A. 1
B. -1/s2
C. 0
D. 1/s2
E. -s2
F. None of these
2. Find L{1}.
a.1/s
b. 1
c. 0
d. -s
e. -1/s
f. none of these
(1) D
[tex]L_s\left\{t\right\} = \displaystyle\int_0^\infty te^{-st}\,\mathrm dt[/tex]
Integrate by parts, taking
[tex]u = t \implies \mathrm du=\mathrm dt[/tex]
[tex]\mathrm dv = e^{-st}\,\mathrm dt \implies v=-\dfrac1se^{-st}[/tex]
Then
[tex]L_s\left\{t\right\} = \displaystyle \left[-\frac1ste^{-st}\right]\bigg|_{t=0}^{t\to\infty}+\frac1s\int_0^\infty e^{-st}\,\mathrm dt[/tex]
[tex]L_s\left\{t\right\} = \displaystyle \frac1s\int_0^\infty e^{-st}\,\mathrm dt[/tex]
[tex]L_s\left\{t\right\} = \displaystyle -\frac1{s^2}e^{-st}\bigg|_{t=0}^{t\to\infty}[/tex]
[tex]L_s\left\{t\right\} = \displaystyle \boxed{\frac1{s^2}}[/tex]
(2) A
[tex]L_s\left\{1\right\} = \displaystyle\int_0^\infty e^{-st}\,\mathrm dt[/tex]
[tex]L_s\left\{1\right\} = \displaystyle\left[-\frac1se^{-st}\right]\bigg|_{t=0}^{t\to\infty}[/tex]
[tex]L_s\left\{1\right\} = \displaystyle\boxed{\frac1s}[/tex]
Please help i need the answer asap!!!
if you know the answer please give it to me as soon as you can!!
Answer:
35 cm
Step-by-step explanation:
You can use the Cosine Rule to find the length of a side when two sides and the included angle are given.
a² = b² + c² - 2bc cos A
a² = (36²) + (52²) - 2(36)(52) cos 42°
a² = (1296) + (2704) - (3744)(0.7431448255)
a² = (4000) - (2782)
a² = 1218
a = ✓1218
a = 34.9 cm
If 5x−1>3x+7, then the value of x will be,
Answer: x>4
solution set : x = {5,6,7,8....}
Step-by-step explanation:
5x-1>3x+7
or, 5x-1+1>3x+7+1
or, 5x>3x+8
or, 5x-3x > 3x+8-3x
or, 2x > 8
or, 2x/2 > 8/2
or, x > 4
How many sides does a regular polygon have if each interior angle measures 178°?
The number of sides of a regular polygon with an interior angle [tex]\[{178^ \circ }\][/tex] is 180.
What is the regular polygon?
A polygon is regular when all angles are equal and all sides are equal.
A regular polygon has if each interior angle.
Interior angle of given polygon =178
An exterior angle of polygon =180 −178 =2
The sum of exterior angles of any polygon is 360
Number of sides of a regular polygon
[tex]=\frac{360}{2}[/tex]
[tex]=180[/tex]
Therefore, The number of sides of a regular polygon is 180.
To learn more about the side of regular polygon visit:
https://brainly.com/question/1592456
