Answer:
(-7,-14)
Step-by-step explanation:
Going left is adding a negative value, so it would be -6-1 which is -7 for the x value and going down 5 units is also a negative value so it would be -9-5 which is -14 giving you (-7,-14)
QUICKKK!! PLEASE
The probability of picking the winning 4-digit number in a Pick 4 lottery is 1/10000.
(a) Explain what this probability means.
(b) If 10000 people play the Pick 4 lottery, will exactly 1 person win the lottery? Explain.
(c) The winning number in a Pick 4 lottery was 1234 two days in a row. What is the likelihood o
this number occurring on the next drawing? Explain
A probability of 1/10000 means that only one person can get the Pick 4 lottery among 10000 pickers.
What is probability?The term probability has to do with the chance that an event will occur or not. Usually probability is expressed as a fraction.
The meaning of the saying that the probability of picking the winning 4-digit number in a Pick 4 lottery is 1/10000 is that only one person can get the Pick 4 lottery among 10000 pickers.
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a fan does 65 rotations in 52 seconds how long does it take to do 200 rotations
Answer: 160 seconds
Step-by-step explanation:
First let us find the number of seconds per rotation
52 second/65 rotations
52/65
0.8 seconds/1 rotation
0.8 seconds per rotation
Now let us multiply 0.8 by 200 to get our answer
0.8 * 200
160
It takes 160 seconds to do 200 rotations
Answer:
160 seconds
Step-by-step explanation:
We have 65 rotations in 52 seconds, let's represent it like this:
[tex]\frac{52 seconds}{65 rotations}[/tex]
Now, let's multiply this by 200 rotations, and cancel out the rotations on the bottom:
[tex]\frac{52 seconds}{65 rotations} * 200 rotations[/tex]
See how there is rotations on both the top and bottom? This cancels both of them and leaves seconds!
Multiply the above equation and we get:
160 seconds or 2 minutes 40 seconds.
Hope this helps! Good luck and if you have questions please leave them in the comments!
Each vertex of a quadrilateral is dilated by a scale factor of about the
point P (-7, 4). What will be the effect on the perimeter of the resulting lens
figure?
Answer:
write an article for publication in the daily graphic on the topic every school must have a library
please help me do this question
Answer:
[tex]\dfrac{d^2y}{dx^2} = 5e^{3x} \sin (2x)+12e^{3x} \cos (2x)[/tex]
Step-by-step explanation:
[tex]\large \boxed{\begin{minipage}{5 cm}\textsf{\underline{Product Rule}}\\\\$ \textsf{When } \:y=uv\\\\\dfrac{dy}{dx}=u\dfrac{dv}{dx}+v \dfrac{du}{dx}$\\\end{minipage}}[/tex]
Given:
[tex]y=e^{3x} \sin(2x)[/tex]
First Derivative
[tex]\textsf{let } u=e^{3x} \implies \dfrac{du}{dx}=3e^{3x}[/tex]
[tex]\textsf{let } v= \sin(2x) \implies \dfrac{dv}{dx}=2 \cos (2x)[/tex]
Using the Product Rule:
[tex]\begin{aligned}\dfrac{dy}{dx} & =e^{3x}\cdot 2 \cos (2x) + \sin (2x) \cdot 3e^{3x}\\& = 2e^{3x} \cos (2x) + 3e^{3x} \sin (2x)\\& = e^{3x}(2 \cos (2x) + 3 \sin (2x))\end{aligned}[/tex]
Second Derivative
[tex]\textsf{let } u=e^{3x} \implies \dfrac{du}{dx}=3e^{3x}[/tex]
[tex]\textsf{let } v= 2 \cos (2x)+3 \sin (2x) \implies \dfrac{dv}{dx}=-4 \sin (2x) +6 \cos (2x)[/tex]
Using the Product Rule:
[tex]\begin{aligned}\dfrac{d^2y}{dx^2} & =e^{3x}(-4 \sin (2x) +6 \cos (2x)) +3e^{3x} (2 \cos (2x)+3 \sin (2x))\\& = e^{3x}[-4 \sin (2x) +6 \cos (2x)+6 \cos (2x)+9 \sin (2x)]\\& = e^{3x}[5 \sin (2x) +12 \cos (2x)]\\& = 5e^{3x} \sin (2x)+12e^{3x} \cos (2x)\end{aligned}[/tex]
Answer:
[tex] \tt{ \frac{ {d}^{2} y}{d {x}^{2} } = 5 {e}^{3x} \sin(2x) + 12 {e}^{3x} \cos(2x)}[/tex]
Step-by-step explanation:
⠀
⠀
⠀⠀⠀⠀▩ Question[tex]y = {e}^{3x} \sin(2x) \\ { \sf{To \: find}} \: \frac{ {d}^{2}y }{d {x}^{2} } [/tex]
⠀
⠀
⠀⠀⠀⠀■ Solution⠀
First finding dy/dx⠀
[tex] \sf using \: \frac{d}{dx} uv = u \frac{d}{dx} v + v \frac{d}{dx} u \: formula[/tex]
⠀
⠀
Taking derivative of sin2x and e^3x⠀
[tex] \bold{ \frac{dy}{dx} = {e}^{3x} \frac{d}{dx} \sin(2x) + \sin(2x) \frac{d}{dx} {e}^{3x} } \\ \\ \bold{ \frac{dy}{dx} = {e}^{3x} \cos(2x) \frac{d}{dx} 2x + \sin(2x) {e}^{3x} \frac{d}{dx} 3x}[/tex]
⠀
⠀
Multiplying⠀
[tex] \bold{ \frac{dy}{dx} = {e}^{3x} \times 2 \cos(2x) + \sin(3x) \times 3 {e}^{3x} }[/tex]
⠀
⠀
Value of dy/dx⠀
[tex] \bold{ \frac{dy}{dx} = 2 {e}^{3x} \cos(2x) + 3 {e}^{3x} \sin(2x) }[/tex]
⠀
⠀
Now taking derivative again using same formula as mention in first part, so that to find d²y/dx².⠀
⠀
⠀⠀● First solving 2e^3x cos(2x)
⠀
[tex] \bold{ 2( {e}^{3x} \frac{d}{dx} \cos(2x) + \cos(2x) \frac{d}{dx} {e}^{3x}) }[/tex]
⠀
⠀
Taking derivative of cos2x and e^3x⠀
[tex] \bold{2( {e}^{3x} - \sin(2x) \frac{d}{dx} 2x + \cos(2x) {e}^{3x} \frac{d}{dx} 3x)} \\ \\ \bold{ - 4 {e}^{3x} \sin(2x) + 6 {e}^{3x} \cos(2x) }[/tex]
⠀
⠀
⠀⠀● Now solving 3e^3x sin(2x)
⠀
[tex] \bold{ 3( {e}^{3x} \frac{d}{dx} \sin(2x) + \sin(2x) \frac{d}{dx} {e}^{3x} )}[/tex]
⠀
⠀
Now taking derivative of sin 2x and e^3x⠀
[tex] \bold{ 3( {e}^{3x} \cos(2x) \frac{d}{dx} 2x + \sin(2x) {e}^{3x} \frac{d}{dx} 3x)} \\ \\ \bold{ 6 {e}^{3x} \cos(2x) + 9 {e}^{3x} \sin(2x) }[/tex]
⠀
⠀
Adding both solution⠀
[tex] \bold{ \frac{ {d}^{2}y }{d {x}^{2} } = - 4 {e}^{3x} \sin(2x) + 6 {e}^{3x} \cos(2x) + 6 {e}^{3x} \cos(2x) + 9 {e}^{3x} \sin(2x) } \\ \\ \bold{ \frac{ {d}^{2} y}{d {x}^{2} } = 5 {e}^{3x} \sin(2x) + 12 {e}^{3x} \cos(2x) }[/tex]
PLS HELP ME ASAP !!!
The probability that she picks a blue marble three times in a row is 1/125.
Given that
Samantha has a bag of 5 different colored marbles.
She randomly picks a marble from the bag, records the color, and returns it to the bag before picking another marble.
We have to determine
What is the probability that she picks a blue marble three times in a row?
According to the question
Samantha has a bag of 5 different colored marbles.
She randomly picks a marble from the bag, records the color, and returns it to the bag before picking another marble.
The probability of picking a bag one time is,
Number of bag pack at a time
Total number of bag
=1/5
The probability of picking a bag second time is,
Number of bag pack at a time Total number of bag
=1/5
The probability of picking a bag third time is,
Number of bag pack at a time
Total number of bag
=1/5
031%
Therefore,
The probability that she picks a blue marble three times in a row is,
= 1/5 X 1/5 X 1/5
1 /125
Hence, the probability that she picks a blue marble three times in a row is 1/125.
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Step-by-step explanation:
hope this helps
Question 6 (Essay Worth 6 points)
(06.03)
4(2x + 3) + 5y
From the expression above, provide an example of each of the following: sum, term, product, factor, quotient, and coefficient. If any are not presen
write "not present."
Answer:
A term is a single number or variable, in this case, the number 2.
The sum in this equation would be 4x + 2.
The product is the result of multiplication, in this equation, the result of 5(4x + 2).
The factors are the digits that are being multiplied, in this case, 5 & 4x + 2
The quotient is the result of a division, in this case, the result of (4x + 2) / 7y.
A coefficient is a number that is being multiplied by a variable, in this case, 4 & y.
What is the definition of a chronological structure?
A. Describes events in order they occurred or gives ordered instructions
B. Shows relationship between events, explains how one thing happens as a result of another
C. Describes a topic, idea, person, place or thing
D. Describes a problem as well as its causes and suggests solutions
Answer:
The arrangements of things following one after another in time
Which shows the equation of the line containing the point (–2, 6) and having a slope of 3 in slope-intercept form?
3y = x + 20
y=3x−20
y = 3x + 12
y=−32x+3
Answer:
y=3x+12
Step-by-step explanation:
Use this formula: y-y1=m(x-x1)
(y-Your y point=slope(x-Your x point)
Point= (-2, 6), Slope= 3
(Anything negative, you add. Anything positive, you subtract.)
Plug in your values: y-6=3(x+2)
distribute: y-6=3x+6
Add six to both sides of the equation:y-6(+6)=3x+6(+6)
We get our answer: y=3x+12
Hope this helps!! :)
Fred figured out the volume of the glass is 141.37cm. Show work
To solve this problem, we have to calculate the volume of a hemisphere and the volume of a cylinder and add them together. The volume of the glass can be only be calculated when we find the volume of the hemisphere and the volume of the cylinder and then add then up together.
Volume of a HemisphereThe volume of a hemisphere is given as
[tex]v = \frac{2}{3} * \pi * r^3[/tex]
Data
r = 3cmLet's substitute the values into the equation and solve.
[tex]v = \frac{2}{3} * \pi * r^3\\v = 56.556cm^3\\[/tex]
Volume of a CylinderThe formula of volume of a cylinder is
[tex]v = \pi r^2 h[/tex]
data given
h = 3cmr = 3cmLet's substitute the values into the equation and solve
[tex]v = \pi r^2 h\\v = 3.142 * 3^2 * 3\\v = 84.834cm^3[/tex]
Let's add both volumes together so we have the volume of the glass cup
[tex]56.556 + 84.834 = 141.39cm^3[/tex]
The volume of the glass can be only be calculated when we find the volume of the hemisphere and the volume of the cylinder and then add then up together.
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Find a time where the hour and minute hand are 40 degrees apart.
Answer:
At 4:40, the minute hand is on the 8, and the hour hand is two-thirds of the way from the 4 to the 5
A wooden block is in the shape of a regular hexagonal pyramid. The lateral surface area of the pyramid is 450 square centimeters, and the pyramid has a slant height of 15 centimeters. What is the side length of the base?
Answer:
10 cm
Step-by-step explanation:
suma is twice as old as her brother. in 6 years time,the sum of their ages will be 39 years.what is her age now?
Answer:
18
Step-by-step explanation:
In 6 years, both other their ages will add up to 39. So 12 years back( 6 years for each of them), their combined age will be 27.
Now we have to find the age of Suma. We can find her brother age first.
We can use the equation 2x+x=27
In this equation, x is the age of Suma's brother. 2x + x = 3x.
3x = 27.
27 divided by 3 is 9 so Suma's brother is 9 years old. And since Suma is twice as old. Suma is 18 years old.
Answer:
Suma is 18 years old
Step-by-step explanation:
Let s = Suma's age
Let b = brother's age
Suma is twice as old as her brother:
⇒ s = 2b
In 6 years time, the sum of their ages will be 39 years:
⇒ (s + 6) + (b + 6) = 39
Substitute s = 2b into (s + 6) + (b + 6) = 39 and solve for b:
⇒ (2b + 6) + (b + 6) = 39
⇒ 3b + 12 = 39
⇒ 3b = 27
⇒ b = 9
Substitute found value of b into s = 2b and solve for s:
⇒ s = 2(9)
⇒ s = 18
Therefore, Suma is 18 years old and her brother is 9 years old.
En el sistema, encontrar el doble de y:
2x + y = 5
x + y = 4
a) 6
b) 4
c) 3
d) 2
Answer:
y=3
x=1
Step-by-step explanation:
1 by substitution method
2x+y=5 (1)
x+y=4 (2)
find x in eq 2
x=4-y
put the value in eq 1
2x+y=5
2(4-y)+y=5
8-2y+y=5
8-y=5
-y=5-8
-y=-3
y = 3
x=4-y
x=4-3
x=3
hope it helps you
please mark it as brainliest
Help with functions!! Thanks!
Answer:
-2
2
Step-by-step explanation:
just use common sense. what does "local maximum" mean ?
it means a point, where the curve in the nearest neighborhood does not have a higher value. where the curve comes from smaller values, turns around and leaves with smaller values again.
(a) there is one point in this graph : at x = -2
(b) and that maximum value at that point is y = 2
Which of the following sets does not contain any irrational numbers?
PICTURE OF SETS SHOWN BELOW.
Thank you so much
Describe the reflection of the figure. A) reflection over the x-axis B) reflection over the y-axis C) reflection over the line y = 4 D) reflection over the line y = −4
Answer:
A) reflection over the x-axis
Step-by-step explanation:
Complete the table above. Also, find the number students that can be chaperoned by 9 teachers.
In AVWX, v = 64 cm, w = 18 cm and x=63
cm. Find the measure of ZW to the
nearest degree.
Answer:
The answer is 1230cm square
You pick a card at random, put it back, and then pick another card at random.
2345
What is the probability of picking a number less than 4 and then picking a number greater
than 2?
Write your answer as a percentage.
%
Answer:
3 is the right answer because it is less than 4 and greater than 2
Is there a way to find all the factor pairs for a big number like 805 quickly
Answer:
The complete list of factors for 805 are 1, 5, 7, 23, 35, 115, 161, and 805.
Step-by-step explanation:
A factor pair is a combination of two factors which can be multiplied together to equal 805. In proper math terms, the number 805 is called the product and the two numbers that can be multiplied together to equal it are called the factors.
In order to work out the factor pairs of 805 we need to first get all of the factors of 805. Once you have the list of all those factors we can pair them together to list out all of the factor pairs.
The complete list of factors for 805 are 1, 5, 7, 23, 35, 115, 161, and 805.
Hi! Emergency. Please answer! I'll mark brainilest. :)))
A triangle has sides of lengths a=37, b=39, c=63 ft.
Find the measures of the 3 angles
Enter your answer as a number; answer should be accurate to 2 decimal places.
Angle A =
°
Angle B =
°
Angle C =
°
Answer:
angle A: 33.005
Angle B: 35.04
Angel C: 111.955
Step-by-step explanation:
look at attached image for more info
Hope it helps! Have a wonderful day
Ethan bought some bags of marbles. The number of bags he bought was 11 less than the number of marbles in each bag. Ethan bought 26 marbles in all. How many marbles were in each bag?
Answer:
13?
Step-by-step explanation:
idrk best guess. 26 divided by 2= 13. 11-13 + 2
A square of area 169 cm² is transformed into an equilateral triangle. What is the perimeter, in
cm, of the triangle?
Answer:
39cm
Step-by-step explanation:
area of square = side^2 =169
side = 13cm
Perimeter of triangle = 3*side
=3 * 13 = 39cm
Answer:
52
Step-by-step explanation:
√169 =13
13*4= 52 because the perimeter of the square is equal to the perimeter of the triangle
Can I get some help with this?
PLEASE HELP
Which function, g or h, is the inverse function for function f?
Answer: The function h because the graphs of f and h are symmetrical about the line y=x.
Evaluate 3 x 2/7 give your answer as a fraction
[tex]\huge{\underline{\mathtt{\red {A}\pink{N}\green{S}\blue{W}\purple {E}\orange{R}}}}[/tex]
[tex] \huge\frac{6}{7} [/tex]
step by step Explanation :
= 3 × [tex] \huge\frac{2}{7} [/tex]
We have to just multiply 3 with numerator which is 2 and product will be 6 .= [tex] \huge\frac{6}{7} [/tex]
hope it helps you
Answer:
6/7
Step-by-step explanation:
You multiply 3 by the numerator of the fraction
3 multiplied by 2 is 6
Your answer is 6/7
C (-1,-7), A (1,4), T (5, 1). What kind of triangle is CAT? Calculate the area and the perimeter of CAT.
A) Right Angle Triangle
B) 25 units²
C) (15 + 5√5) units
Figure Their Length:[tex]\sf Distance \ between \ two \ points = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Distance between C and A
[tex]\rightarrow \sf CA = \sqrt{(1 - (-1))^2 + (4 - (-7))^2} \ = \ 5\sqrt{5}[/tex]
Distance between C and T
[tex]\rightarrow \sf CT = \sqrt{(-1-5)^2+(-7-1)^2} \ = \ 10[/tex]
Distance between A and T
[tex]\rightarrow \sf AT = \sqrt{(1-5)^2 +(4-1)^2} \ = \ 5[/tex]
Part A:
When drawn on graph, we can identify it is a right angle triangle.
Or use Pythagoras Theorem:
10² + 5² = (5√5)²
125 = 125... Hence it is a right angle triangle confirmed.
Part B:
Area of triangle = ½ × base × height = ½ × 10 × 5 = 25 units²
Part C:
Total Sum or measure of all sides: 5 + 10 + 5√5 = 15 + 5√5 units
Find the value of x 63° (2x + 3)°
Answer:
x = 20
Step-by-step explanation:
63−3x=3
−3x=−60
x=20
You invest $2,800 in an account that
pays an interest rate of 5.5%,
compounded continuously. Calculate the balance of your account after 12 years
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2800\\ r=rate\to 5.5\%\to \frac{5.5}{100}\dotfill &0.055\\ t=years\dotfill &12 \end{cases} \\\\\\ A=2800e^{0.055\cdot 12}\implies A=2800e^{0.66}\implies A\approx 5417.42[/tex]
The owner of a smart watch would like to estimate the mean number of steps they take per day. To do so, they select a random sample of 30 days from the previous year's data and record the number of steps they took on each of those days. The mean number of steps taken per day was 8,575 with a standard deviation of 2,125 steps. What is the value of the standard error of the mean?
O 70.833 O 387.970 O 394.603 O 2,125
The standard error is an estimate of the standard deviation of the sampling distribution. The value of the standard error of the mean is 387.970.
What is the standard error?It is an estimate of the standard deviation of the sampling distribution. It measures the variability of a considered sample statistic.
Suppose that we're given that:
Population standard deviation = σ
Size of the sample we're working on = n
Then, the standard error can be calculated as:
[tex]SE = \dfrac{\sigma}{\sqrt{n}}[/tex]
where SE denotes the standard error.
The standard error of the mean can be written as,
SE = σ/√n
SE = 2,125/√30
SE = 387.970
Hence, the value of the standard error of the mean is 387.970.
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