Answer:
1/32
Step-by-step explanation:
Multiply the fractions together
1/8 * 1/4 = 1/32
1/32 are left handed glass wearers
A girl loves to receive mail, but only 5% of the family's letters are addressed to her. The recipient of each letter is independent of all other letters. Find the mean number of letters received by other members of the family prior to her receiving her second letter.
Answer:
Negative Binomial
Step-by-step explanation:
The girl receives only 5% of mail which are addressed to her. Rest of 95% mails belong to other family members.
P (X) = 5%
P (X) = 95 / 5
P (X) = 19
The family receives 19 mails out of which only 5% will address the girl. The all other mails belong to the other family members.
Robert uses a wheelbarrow to haul wood from the back yard to his neighbor's house located 9 meters away. If he takes two breaks evenly when pushing the wheelbarrow to its destination, at which distance will he reach his first break?
Robert has 36 pieces to take, but can only take 9 each time. What distance in meters will he travel to move all the wood?
Answer:
3 meters
63 meters
Step-by-step explanation:
In order for his two breaks to occur after even distances, simply divide his total path in three:
[tex]B = \frac{9}{3}\\ B=3\ meters[/tex]
He will reach his first break after 3 meters.
If he can only take 9 pieces at a time the number of trips required is:
[tex]n=\frac{36}{9}\\ n=4[/tex]
Note that he will have to back to the back yard for the first three trips (traveling back the 9 meters path). The total distance traveled is:
[tex]d= 3*(9+9)+9\\d=63\ meters[/tex]
He will travel 63 meters.
BRAINLIEST ANSWER WINS! A satellite is to be put into an elliptical orbit around a moon as shown below. A vertical ellipse is shown surrounding a spherical object labeled, moon. The moon is a sphere with radius of 1000 km. Determine an equation for the ellipse if the distance of the satellite from the surface of the moon varies from 953 km to 466 km.
Answer:
D. x²/1953² + y²/ 1466² = 1
Step-by-step explanation:
==>Given:
Radius of spherical moon = 1000km
Distance of satellite from moon surface = 953km to 466km
==>Required:
Derived equation of ellipse
==>Solution:
The formula for driving an equation of ellipse is given as:
x²/a² + y²/b² = 1
Where,
a = length of the semi-major axis, while,
b = length of the semi-major axis
Since we are told that the satellite distance to the surface of the moon varies from 953km to 466km, values of a and b is calculated by summing each length to the radius of the moon as follows:
a = radius of moon + the larger distance of the satellite = 1000+953 = 1,953km
b = radius of moon + the smaller distance of the satellite = 1000+466 = 1,466km
Thus, the equation of the ellipse would be:
x²/1953² + y²/ 1466² = 1
What is the answer? X=
Answer:
5
Step-by-step explanation:
[tex] \because \triangle ACB \cong \triangle DCE... (given) \\
\therefore \angle A \cong \angle D... (c.a.c.t)\\
\therefore m\angle A = m\angle D\\
\therefore 50\degree = 10x\\\\
\therefore x = \frac{50\degree}{10}\\\\
\huge \orange {\boxed {\therefore x = 5\degree}} [/tex]
Which shapes have the same volume as the given rectangular prism?
base area = 50 cm^2
Answer:The first one
Step-by-step explanation:
V rectangular prism = Area of the base *5
Write a number with 2 decimal places, that is bigger than 4 and 1/5 but smaller than 4.25?
Answer: 4 wholes and 1/5 is 4.20 and you need something greater than that but less than 4.25 which still has only 2 decimals.
Solve the initial-value problem. x' + 2tx = 5t, x(0) = 8 x(t) =
Multiply both sides of the ODE
[tex]x'+2tx+5t[/tex]
by [tex]e^{t^2}[/tex]:
[tex]e^{t^2}x'+2te^{t^2}x=5te^{t^2}[/tex]
Now the left side can be condensed as the derivative of a product:
[tex]\left(e^{t^2}x\right)'=5te^{t^2}[/tex]
Integrate both sides, then solve for x :
[tex]e^{t^2}x=\dfrac52e^{t^2}+C[/tex]
[tex]\implies x(t)=\dfrac52+Ce^{-t^2}[/tex]
Given that x(0) = 8, we find
[tex]8=\dfrac52+Ce^0\implies C=\dfrac{11}2[/tex]
so that the particular solution to this IVP is
[tex]\boxed{x(t)=\dfrac{5+11e^{-t^2}}2}[/tex]
Find the x- and y-intercepts of −4x+y=4. (Enter each intercept in the form (a,b).)
Answer:
(-1, 4)
Step-by-step explanation:
Help!!! Type SSS, SAS, ASA,
AAS, or HL to justify
why the two larger
triangles are congruent.
DB = CA
its congruent by HL or RHSaxiom
Answer:
HL
Step-by-step explanation:
[tex] In\: right \triangle 's DAB \: \&\: CBA\\
\angle DAB \cong \angle CBA... (each 90\degree) \\ hypotenuse \: DB \cong hypotenuse \: CA. (given) \\
side AB \cong side BA.. (common) \\
\therefore \triangle DAB \cong \triangle CBA.. (By \: RHS\: or \: HL \: Postulate) [/tex]
How many square feet of outdoor carpet will we need for this hole?
Answer:
9.
Step-by-step explanation:
You would have to find the area of the triangle which is 1/2(bh) which would give you 9. So you would 9 feet of outdoor carpet. Which is actually already given to you as the area inside the triangle.
Answer:
9
Step-by-step explanation:
I finally got it!
18 points please help pic inserted
Answer:
1). [tex]\text{log}_4(5x^2+2)=\text{log}_4(x + 8)[/tex]
2). log(x - 1) + log5x = 2
3). ln(x + 5) = ln(x - 1) + ln(x + 1)
4). [tex]e^{x^2}=e^{4x+5}[/tex]
Step-by-step explanation:
1). ln(x + 5) = ln(x - 1) + ln(x + 1)
ln(x + 5) = ln(x - 1)(x + 1) [Since ln(a×b) = ln a + lnb]
(x + 5) = (x- 1)(x + 1)
x + 5 = x² - 1
x² - x - 6 = 0
x² - 3x + 2x - 6 = 0
x(x - 3) + 2(x - 3) = 0
(x + 2)(x - 3 ) = 0
x = -2, 3
But x = -2 is an extraneous solution.
Therefore, x = 3 is the only solution.
2). [tex]e^{x^2}=e^{4x+5}[/tex]
x² = 4x +5
x² - 4x - 5 = 0
x² - 5x + x - 5 = 0
x(x - 5) + 1(x - 5) = 0
(x + 1)(x - 5) = 0
x = -1, 5
Therefore, solution set is (-1, 5)
3). [tex]\text{log}_4(5x^2+2)=\text{log}_4(x + 8)[/tex]
5x² + 2 = (x + 8)
5x² - x - 6 = 0
5x² - 6x + 5x - 6 = 0
x(5x - 6) + 1(5x - 6) = 0
(x + 1)(5x - 6) = 0
x = -1, [tex]\frac{6}{5}[/tex]
4). log(x - 1) + log5x = 2
log(x - 1)(5x) = 2
5x(x - 1) = 10² [if loga = b, [tex]a=10^{b}[/tex]]
5x² - 5x - 100 = 0
x² - x - 20 = 0
x² - 5x + 4x - 20 = 0
x(x - 5) + 4(x - 5) =0
(x - 5)(x + 4) = 0
x = -4, 5
But x = -4 is an extraneous solution.
Therefore, x = 5 is the only solution.
of the digital video recorders (DVRs) in an inventory are known to be defective. What is the probability you randomly select a DVR that is not defective? The probability is nothing.
Full question:
Eighteen of 50 digital video recorders (DVRs) in an inventory are known to be defective. What is the probability you randomly select an item that is not defective?
Answer:
16/25
Step-by-step explanation:
Probability is the likelihood of an event happening and it is calculated as the number of favourable outcomes divided by the total number of possible outcomes. From the above we can calculate probability of finding a DVR that is not defective by adding up number of DVRS that are not defective in the DVRS(favourable outcomes) and dividing it by the total number of DVRS(total number of possible outcomes).
Non defective dvrs=total number of dvrs-defective dvrs=50-18=32
So probability here=non defective dvrs/total number of dvrs
=32/50=16/25
520 after a 30% increase
Answer:
676
Step-by-step explanation:
Convert the percentage to a decimal.
30% = 0.3
Multiply the number by the decimal.
520 × 0.3 = 156
Add this number by the number given.
520 + 156 = 676
Help me Please, i will give you branliest
Answer:
35/42 = b/7 and b= 35/6
Step-by-step explanation:
Our base is unkhown so it will be the variable in our equation :
Let A be the area , h the height and b the base A = b*h 35/42 = b/7 this is the equation , let's solve it (35*7)/42 = b (35*7)/ 7*6 =b 35/6 = bso b is 35/6 cm
Transformation of exponential functions need help ASAP
Answer:
These are vertical transformations because the parent function is being translated up and down which are vertical directions.
What would be the slope of the positions (3,3) and (4,5)
Answer:
m = 2
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug our coordinates into the slope formula and solve for m:
m = (5 - 3)/(4 - 3)
m = 2/1
m = 2
Answer:
2Step-by-step explanation:
Let the points be A and B
A( 3 , 3 ) -----> ( x1 , y1 )
B(4 , 5 ) ------>( x2 , y2 )
Now,
finding the slope,
Slope =[tex] \frac{y2 - y1}{x2 - x1} [/tex]
[tex] = \frac{5 - 3}{4 - 3} [/tex]
[tex] = \frac{2}{1} [/tex]
[tex] = 2[/tex]
Hope this helps...
Good luck on your assignment..
write the number name for 6782163 in international system
Answer:
Six Million Seven Hundred Eighty Two Thousand one hundred sixty three
Step-by-step explanation:
Hope it helps...Pls Mark as Brainliest!!
Answer:
Six Million Seven Hundred Eighty Two Thousand One Hundred and Sixty Three.
Step-by-step explanation:
6, 782, 163
Without solving for the undetermined coefficients, the correct form of a particular solution of the differential equation y'' + 9y = sin(3x) is:_______
a. yp = Acos(3x) + Bsin(3x)
b. yp = Axcos(3x) + (3x)
c. yp = Asin(3x)
d. yp = Acos(3x)
e. yp = Axcos(3x) + Bxsin(3x)
Answer:
E
Step-by-step explanation:
y’’ + 9y = sin(3x)
The characteristics equation is;
m^2 + 9 = 0
solving this we have 2 complex roots
m= -3i, 3i
Thus;
yh = Ccos(3x)+ Dsin(3x)
let yp = Axcos(3x) + Bxsin(3x)
Now, because we have sin(3x) and cos(3x) with constant coefficient in yh, option E is our answer
Convert 3 over 7 into a percent.
Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100.
So to write 3/7 as a percent, we need to find a fraction
equivalent to 3/7 that has a 100 in the denominator.
We can do this by setting up a proportion.
So we have [tex]\frac{3}{7} = \frac{n}{100}[/tex].
Now, we can use cross-products to find the missing value.
So we have (3)(100) which is 300 is equal to (7)(n) or 7n.
So we have the equation 300 = 7n.
Next, dividing both sides of the equation by 7, we have 42.8571 = n.
So 3/7 is equal to 42.8571/100 or 42.8571%.
What is 4 2/3 ÷ 1 1/5
Answer:
3 8/9
Step-by-step explanation:
1.) Convert each fraction from a mixed number to a improper fraction (to do that multiply the denominator with the whole number then add the numerator, the improper fraction denominator will remain the same as the mixed number denominator):
14/3 ÷ 6/5
2.) Solve
a. To divide the fractions, Flip the reciprocal, and multiply the fractions
14/3 x 5/6
b. Check if you can reduce the numbers, which you can 14 and 6 can be both divided by 2:
7/3x5/3
c. Multiply fractions (simply by multiplying across):
35/9
3.) Simplify numbers into mixed fraction (or decimal):
3 8/9
Does this table represent a function? Why or why not?
х
y
0
4
7
8
5
5
8
8
10
9
A. No, because two of the y-values are the same.
B. Yes, because there are two x-values that are the same,
C. Yes, because every x-value corresponds to exactly one y-value.
D. No, because one x-value corresponds to two different y-values.
Answer:
no because one x value corresponds to two different y values
Evaluate the following:
Answer:
csc∅ = 25/7
sec∅ = 25/24
cot∅ = 24/7
Step-by-step explanation:
Cosecant (csc) is 1/sin∅ or hypotenuse over opposite
Secant (sec) is 1/cos∅ or hypotenuse over adjacent
Cotangent (cot) is 1/tan∅ or adjacent over opposite
please simplify this
Answer:
(√77) / 22
Step-by-step explanation:
To rationalize the fraction we must multiply the entire fraction by √11 / √11. Note that the 2 is not important because it's not a radical. This gives us √77 / 22.
Identify the parent function that can be used to graph the function/(x) = 471-3.
a. f(x) = x
c. f(x) = x
b. f(x) - [x]
d. f(x) -11
The height of the triangle is
The base of the triangle is
The area of the triangle is
Answer:
The height of triangle is 12cm.
The base of triangle is 25 cm.
The area of triangle is 150cm².
Step-by-step explanation:
Given that the area of triangle is Area = 1/2×base×height. So you have to substitute the values into the formula :
[tex]area = \frac{1}{2} \times base \times height[/tex]
[tex]let \: base = 25 \\ let \: height = 12[/tex]
[tex]area = \frac{1}{2} \times 25 \times 12[/tex]
[tex]area = \frac{1}{2} \times 300[/tex]
[tex]area = 150 \: {cm}^{2} [/tex]
Pls help me with my geometry guys
Answer:
(1,1)
Step-by-step explanation:
x=1
y=1
6(1) + 1=7
6+1=7
Answer:
x=1, y=1
Step-by-step explanation:
Please answer this correctly
Answer:
50%
Step-by-step explanation:
There are 3 numbers fitting the rule, 1, 2, and 6. There is a 3/6 chance rolling one of them or 50%.
Answer:
50%
Step-by-step explanation:
1 value> 5 and 2 values<3, out of total of 6
P (greater than 5 or less than 3) = 3/6= 50%
Micah mixed 5 ounces of yellow paint with 11 ounces of blue paint. What is the ratio of blue paint to the total amount of paint that Micah used? Write the ratio using a colon and no spaces.
Answer: 11:16
Step-by-step explanation: 11 ounces of blue paint: the total number ounces of paint (adding blue and yellow)
Answer:
5:16
Step-by-step explanation:
The amount of blue paint is 5 oz
The total amount of paint is 16 oz
Make these numbers a ratio of blue to total
Work out percentage change to 2 decimal places when price of 97 is decreased to 90
Answer:
7.22?
Step-by-step explanation:
I NEED HELP PLEASE ASAP!!!
Answer:
see below
Step-by-step explanation:
There are a couple of ways to go about this.
The general form of a conic equation is ...
Ax^2 +Bxy +Cy^2 +Dx +Ey +F = 0
For AC > 0, this is the equation of an ellipse or circle. (AC < 0, hyperbola; AC = 0, parabola)
So, from the coefficients of the given equation, AC = 2·5 = 10, you know the equation is of an ellipse.
__
The rotation matrix for Cartesian coordinates tells you ...
x = x'·cos(θ) +y'·sin(θ)
y = -x'·sin(θ) +y'·cos(θ)
For θ = 45° the values of these trig functions are all (√2)/2. That is, there is no way to get coefficients in the rotated equation that involve √3. This eliminates choice 2.
The only remaining viable choice is choice 4.
__
If you like, you can substitute for x and y using the above relations. You will find that the result differs from any of the answer choices. The rotated figure will have the equation ...
[tex]5x^2-6xy+9y^2+10\sqrt{2}x+2\sqrt{2}y-80=0[/tex]
For example, the x and y terms become ...
[tex]6x-4y=6(x'\cos{(45^{\circ})}+y'\sin{(45^{\circ})})-4(-x'\sin{(45^{\circ})}+y'\cos{(45^{\circ})})\\\\=10x'\dfrac{\sqrt{2}}{2}+2y'\dfrac{\sqrt{2}}{2}\\\\\text{Multiplying this by 2 gives $\dots$}\\\\10x'\sqrt{2}+2y'\sqrt{2}[/tex]
Note that this is not the 10√2x' -10√2y' shown in choice 4.
__
Another way to look at this is to look at the angle of rotation relative to alignment with the x- and y-axes. That angle α is given by ...
cot(2α) = (A -C)/B
For the original ellipse, the rotation angle is ...
α = arccot((2 -5)/2)/2 ≈ -16.85°
For the transformed ellipse of choice 4, the rotation angle is ...
α = arccot((9 -5)/6)/2 ≈ 28.15°
This is 45° more*, as it should be, indicating choice 4 is the better of the offered choices.
__
If you do the angle calculation for the 2nd answer choice, you will find it has no relation to a 45° rotation of the original ellipse.
_____
* While the computed rotation angle is as expected, the fact that the x^2 and y^2 coefficients have been swapped means that the long and short axes of the ellipse have been swapped. That is, the long axis of the ellipse has been rotated 45° in the wrong direction by the equation given in the answer choices. The second attachment shows the original ellipse (red), the properly rotated ellipse (dashed red) and the ellipse of choice 4 (blue).