Answer:
(n-10)
Step-by-step explanation:
Jdjdjdhbejdudjkdff
Help solve problem please
Answer:
1 / 13
Step-by-step explanation:
The total number of cards in a deck = 52
The total number of aces in a deck = 4
Since selection is drawn with replacement, then probability of drawing a certiaj number of card from the deck will be the same each time a selection is made :
Probability = required outcome / Total possible outcomes
The required outcome = number of aces = 4
Total possible outcomes = total number of cards = 52
P(drawing an ace) = 4 / 52 = 1 /13
If 800g of a radioactive substance are present initially and 8 years later only 450g remain, how much of the substance will be present after 16 years? (Round answer to a whole number)
A=Pe^(rt)
P = 800g
t = 8 years
A = 450g
r = This is what we will try and find to start with
450=800e^(r*8)
After running the math through a calculator, we end with r = -0.07192
Now we just re-input this information into our equation: A=800e^(-0.07192*16)
A=800e^(1.15072)
Now we will re-write the equation using the negative exponent rule:
A = 800 1/e^1.15072
Combine right side:
A = 800/e^1.15072
Then do the math:
A = 253.12709836......
That will give us A = 253 (rounded to the whole number)
I hope this helps! :)
The substance that should be presented after 16 years is 253.
Given that,
If 800g of a radioactive substance are present initially and 8 years later only 450g remain.Based on the above information, the calculation is as follows:
We know that
[tex]A=Pe^{rt}[/tex]
Here
P = 800g
t = 8 years
A = 450g
[tex]450=800e^{r\times 8}\\\\A=800e^{-0.07192\times 16}\\\\A=800e^{1.15072}\\\\A = 800 \ 1 \div e^{1.15072}\\\\A = 800\div e^{1.15072}[/tex]
A = 253
Therefore we can conclude that the substance that should be presented after 16 years is 253.
Learn more: brainly.com/question/16115373
What is the degree of the monomial 4x7y3
Answer:
degree 10
Step-by-step explanation:
The degree of the monomial is the sum of the exponents of the variables, so
4[tex]x^{7}[/tex]y³ ← is of degree 10 ( 7 + 3)
Rate of change or rate of change
A farmer has 80 feet of wire mesh to surround a rectangular pen.
A) Express the area A of the pen as a function of x, also draw the figure of A indicating the admissible values of x for this problem.
B) What are the dimensions of the maximum area pen?
Answer:
Step-by-step explanation:
A). Let the dimensions of the rectangular pen are,
Length = l
Width = x
Since, farmer has the wire measuring 80 feet to surround the the pen.
Perimeter of the pen = 80 feet
2(l + x) = 80
l + x = 40
l = 40 - x ------(1)
Area of the rectangular pen = Length × width
= lx
By substituting the value of l from equation (1),
Area (A) of the pen will be modeled by the expression,
A = (40 - x)
A = 40x - x²
B). For maximum area of the pen,
Derivative of the area = 0
[tex]\frac{d}{dx}(A)=0[/tex]
[tex]\frac{d}{dx}(A)=\frac{d}{dx}(40x-x^2)[/tex]
= 40 - 2x
And (40 - 2x) = 0
x = 20
Therefore, width of the pen = 20 feet
And length of the pen = 40 - 20
= 20 feet
Dimensions of the pen should be 20 feet by 20 feet.
Jean threw a disc in the air. The height of the disc can be modelled by the function
h = -5t^2 + 31.5t + 2, where h is the height in metres after t seconds.
Patrick fired a paintball at the disc. The path of the paintball is modelled by the function h = 30t + 1, with the same units. How long will it take the paint ball to hit the disc?
Answer:
It will take 0.62 seconds for the paint ball to hit the disc.
Step-by-step explanation:
Height of the disk:
[tex]H_d = -5t^2 + 31.5t + 2[/tex]
Height of the paintball:
[tex]H_p = 30t + 1[/tex]
When the paintball will hit the disk?
When they are at the same height, so:
[tex]H_d = H_p[/tex]
[tex]-5t^2 + 31.5t + 2 = 30t + 1[/tex]
[tex]5t^2 - 1.5t - 1 = 0[/tex]
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]
[tex]\Delta = b^{2} - 4ac[/tex]
In this question:
Quadratic equation with [tex]a = 5, b = -1.5, c = -1[/tex]
So
[tex]\Delta = (-1.5)^2 - 4(5)(-1) = 22.25[/tex]
[tex]t_{1} = \frac{-(-1.5) + \sqrt{22.25}}{2(5)} = 0.62[/tex]
[tex]t_{2} = \frac{-(-1.5) - \sqrt{22.25}}{2(5)} = -0.32[/tex]
Time is a positive measure, so 0.62.
It will take 0.62 seconds for the paint ball to hit the disc.
Which point is the vertex for the graph of y = |x| + 2?
A. (0,1)
B. (0,-2)
C. (0,2)
D. (2,0)
Answer:(0,2) is the vertex for the graph of y = |x| + 2.
Step-by-step explanation: |x| = 0, y + 2 = 2
Therefore, It would be ( 0,2)
Answer:
trust the otherguy
Step-by-step explanation:
How would yo expand ln (1/49k)?
Answer:
Step-by-step explanation:
It depends on whether you mean ln(1/49k) or ln(1/(49k)).
help asap, will give brainliest. dont answer if u are not 100% sure thank you.
Answer:
[tex]f(x)=\sqrt[3]{x+11}[/tex]
[tex]y=\sqrt[3]{x+11}[/tex]
[tex](y)^3=(\sqrt[3]{x+11} )^3[/tex]
[tex]y^3=x-11[/tex]
[tex]x=y^3-11[/tex]
[tex]f^{-1} (x)=x^3-11[/tex]
OAmalOHopeO
Which expression is equivalent to 9+y+y+3
Answer:
b
Step-by-step explanation:
You only need to add the real numbers and the ys.
Answer:
12 + 2y
Step-by-step explanation:
9+y+y+3
Combine like terms
9+3 + y+y
12 + 2y
Two real estate companies, Century 21 and RE/MAX, compete with one another in a local market. The manager of the Century 21 office would like to advertise that homes listed with RE/MAX average more than 10 days on the market when compared to homes listed with his company. The following data shows the sample size and average number of days on the market for the two companies along with the population standard deviations.Sample mean Sample size Population standard deviation Century 21 22 days 36 32 days RE/MAX 144 days 30 35 daysIf Population 1 is defined as RE/MAX and Population 2 is defined as Century 21, the 80% confidence interval for the difference in population means is:_________.(17.8, 26.2)(11.5, 32.7)(5.4, 38.6)(-3.0, 47.0)
Answer:
17.8 , 26.2
Step-by-step explanation:
The confidence interval is 80% for the given population. Significance level is 0.2 [ 1 - 0.8 ] . Sample size is given and sample mean is calculated with the given standard deviation. Sample mean is 36 days and population size is 144 days.
***URGENT*** PLEASE HELP ME ASAP, ITS DUE TODAY!!!
...................................
M is the midpoint of 0A. N is the midpoint of OB. Prove that AB is parallel to MN
Answer:
Construct MN.
Since M is the midpoint of OA, OM = MA
Similarly, N is the midpoint of OB.
Thus, ON = NB.
Now, in Δs OMN and OAB,
∠MON = ∠AOB (common angle)
(sides are in proportional ratio; OA = 2OM and OB = 2ON)
∴ Δs OMN and OAB are similar (2 sides are in proportion, with the included angle)
Since they are similar, then ∠OMN = ∠OAB (corresponding angles of similar triangles are equal)
But since ∠OMN = ∠OAB, then that means MN || AB (corresponding angles of two lines must be equal since they also sit relative to the transverse line, OA)
Thus, AB || MN (QED)
When a fridge is imported, a customs value of 10% must be paid for its value. If the value of the fridge after paying the customs value is rs. 55,000/-. What is the value before paying customs duty?
Answer:
55000×100/90
61,111.111
Quit smoking: In a survey of 444 HIV-positive smokers, 202 reported that they had used a nicotine patch to try to quit smoking. Can you conclude that less than half of HIV-positive smokers have used a nicotine patch
Answer:
The p-value of the test is of 0.0287 < 0.05(standard significance level), which means that it can be concluded that less than half of HIV-positive smokers have used a nicotine patch.
Step-by-step explanation:
Test if less than half of HIV-positive smokers have used a nicotine patch:
At the null hypothesis, we test if the proportion is of at least half, that is:
[tex]H_0: p \geq 0.5[/tex]
At the alternative hypothesis, we test if the proportion is below 0.5, that is:
[tex]H_1: p < 0.5[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.5 is tested at the null hypothesis:
This means that [tex]\mu = 0.5, \sigma = \sqrt{0.5*(1-0.5)} = 0.5[/tex]
In a survey of 444 HIV-positive smokers, 202 reported that they had used a nicotine patch to try to quit smoking.
This means that [tex]n = 444, X = \frac{202}{444} = 0.455[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.455 - 0.5}{\frac{0.5}{\sqrt{444}}}[/tex]
[tex]z = -1.9[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion below 0.455, which is the p-value of z = -1.9.
Looking at the z-table, z = -1.9 has a p-value of 0.0287.
The p-value is of 0.0287 < 0.05(standard significance level), which means that it can be concluded that less than half of HIV-positive smokers have used a nicotine patch.
Which of the following statements are true?
A. Both graphs are exponential functions.
B. Both graphs are logarithmic functions.
C. Both graphs have exactly one asymptote.
D. Both graphs have been shifted and flipped.
Answer:
A, C, and D are the answers to this question
The true statements about the graphs are; A. Both graphs are exponential functions. C. Both graphs have exactly one asymptote. D. Both graphs have been shifted and flipped.
How to Interpret Function Graphs?The graphs are exponential functions because as x increases, the value of y approaches infinity.
Likewise the graphs have exactly one asymptote.
Lastly, we can see that both graphs appear to have been shifted and flipped especially when we look at their respective coordinates.
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Please help on this initial amount problem
The beginning balance in a person's checking account was 45 dollars. After writing three checks for $6, $17
and $18 and making a deposit of $80, what was the new balance in the account?
Initial balance = $45
Withdrawal amount
= $6 + $17 + $18
= $41
So, new balance
= $45 - $41
= $4
Deposited amount = $80
So, final balance
= $4 + $80
= $84
So, the final balance is $84.
If a right circular cone is intersected by a plane only at its vertex, as in the
picture below, what shape is produced?
A. A parabola
B. An ellipse
C. A point
D. A line
E. A circle
F. A hyperbola
Answer:
A point
Step-by-step explanation:
Hopefully this helps :)
If a right circular cone is intersected by a plane passing through its vertex and perpendicular to its base, the resulting shape is a point.
What is mean by cone?A cone is a three-dimensional geometric form with a flat base and a smooth, tapering apex or vertex. A cone is made up of a collection of line segments, half-lines, or lines that link the base's points to the apex, which is a common point on a plane that does not include the base.
Now, If a right circular cone is intersected by a plane passing through its vertex and perpendicular to its base, the resulting shape is a point.
Since, This is because a plane passing through the vertex of a cone and perpendicular to its base intersects the cone at only one point, which is the vertex of the cone.
Alternatively, if the plane intersects the base of the cone at any other point than the center, the resulting shape would be a triangle.
Therefore, the required form is a point.
Learn more about the cone visit:
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What is circulatry systerm
Answer: i think you meant circulatory system but the defination for it is:
The circulatory system (also called the cardiovascular system) is the body system that moves blood around the body. It consists of the heart and blood vessels. The blood carries various materials that the body needs, and takes away waste or harmful substances. Blood vessels that take blood away from the heart are arteries.
After the booster club sold 40 hotdogs at a football game, it had $90 in profit.
After the next game, it had sold a total of 80 hotdogs and had a total of $210
profit. Which equation models the total profit, y, based on the number of
hotdogs sold, X?
Step-by-step explanation:
x = goods y = $
x Sold = 40, Y = $90
x Sold = 80, Y = $210
sum of xHotdogs = 40+80 = 120 Hotdogs
Sum of Y$ = $90 + 210 = 300
so
X = 2A & Y = 3 its mean one hotdogs can sold for one each = $2.25 and we round it to $3
So = XY = 2A + 3
sorry if i wrong
Hshejoffpeowhwbwbwhjskfofofoekwwoksnfnf Helppp
Answer:
Step-by-step explanation:
3. ZW ≅ WX
A rope is 56 in length and must be cut into two pieces. If one piece must be six times as long as the other, find the length of each piece. Round your answers to the nearest inch, if necessary.
Answer:
48, 6
Step-by-step explanation:
The ratio of the pieces is 6 to 1
Add them together to get the total
6+1 = 7
Divide the total length by 7
56/7 = 8
Multiply the ratios by 8
6*8 = 48
1*8 = 6
The peices are 48 and 6
The stem-and-leaf plot above shows house sale prices over the last week in Tacoma. What was the most
expensive house sold? Give your answer in dollars
$
Answer:
the answer is 2
Step-by-step explanation:
How do you do this I’ve been stuck on this
9514 1404 393
Answer:
x^(1/6)
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)/(a^c) = a^(b-c)
__
Here, we have a=X, b=1/2, c=1/3, so the quotient is ...
(X^(1/2))/(X^(1/3)) = X^(1/2 -1/3) = X^(1/6)
_____
Expressed as a radical, this is ...
[tex]\displaystyle X^{\frac{1}{6}}=\sqrt[6]{X}[/tex]
Answer:
Step-by-step explanation:
x^1/2÷x^1/3=(x)^1/2-1/3= x^1/6--->⁶√x...it's positive answer.
Help please!! Based on Pythagorean identities, which equation is true ??
Answer:
Last answer: [tex]cot^{2} \alpha - csc^{2} \alpha = -1[/tex]
sorry couldn't find theata so I just used alpha.
Find the slope of the line
A)-1/4
B)1/4
C)-4
D)4
Answer:
b) 1/4
The slope of the line is 1/4
A researcher surveyed 8 people to see if there is a
relationship between years of education and starting
salaries. The data points are shown on the graph.
Which best represents the equation of the trend line
shown on the graph? (Note that the graph has a break
on the x-axis.)
O y = 0.25x + 15
O y = 0.25x + 17.5
* y = 1.25x - 10
O y = 1.25x + 7.5
Answer:
[tex]y=1.25x+7.5[/tex]
Step-by-step explanation:
We can see that the trend line is the line of best fit to the data points.
The equation of a straight line is given by:
y = mx + b:
where y, x are variables, m is the slope of the line and b is the y intercept.
From the graph, we can see that the line passes through the points (10, 20) and (14, 25). Therefore the equation of the line is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-20=\frac{25-20}{14-10}(x-10)\\\\y-20=1.25(x -10)\\\\y-20=1.25x-12.5\\\\y=1.25x+7.5[/tex]
Find the area and perimeter of a rectangle with length measuring 14 cm and width measuring 5 more than twice the length.
Answer:
AREA: 462cm
PERIMETER: 94cm
Step-by-step explanation:
To find the width, you have to double 14 and then add 5. That would equal 33. Then to find area, multiply 33 and 14 = 462. To find perimeter, add 33+33+14+14=94
The area of the rectangle is 462 cm² and the perimeter is 94 cm.
How to determine the area and perimeterTo find the area and perimeter of a rectangle, we need the length and width of the rectangle.
Given:
Length = 14 cm
Width = 2(14) + 5
Calculating the width:
Width = 2(14) + 5
Width = 28 + 5
Width = 33 cm
Now, we can calculate the area and perimeter of the rectangle.
Area of a rectangle:
Area = Length x Width
Substituting the values:
Area = 14 cm x 33 cm
Area = 462 cm²
Perimeter of a rectangle:
Perimeter = 2(Length + Width)
Substituting the values:
Perimeter = 2(14 cm + 33 cm)
Perimeter = 2(47 cm)
Perimeter = 94 cm
Therefore, the area of the rectangle is 462 cm² and the perimeter is 94 cm.
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4. In SI, motor output is rated in
A. horsepower.
B. newtons.
C.foot-pounds per second.
D. kilowatts.
Answer:
in so in Newton motor out put is rate
find the value of g-¹(-2) if g (x) =4-2x
Answer:
Solution given:
g-¹(-2)=?
we have
g(x)=4-2x
let
g(x)=y
y=4-2x
Interchanging role of x and y
x=4-2y
2y=4-x
dividing both side by 2
2y/2=(4-x)/2
y=(4-x)/2
f-¹(x)=(4-x)/2
now
Substitute value -2 in place of x
f-¹(-2)=(4-(-2))/2=(4+2)/2=6/2=3
the value of g-¹(-2) is 3.
help help me please!!!!!!!
9514 1404 393
Answer:
a) 3092.5 (rounded to tenths)
b) 39,600
c) ₹28,755
Step-by-step explanation:
These are all simple calculator problems. The arithmetic involved is something you learned in 2nd or 3rd grade.
__
a) Since we divide using the division algorithm, it isn't clear what "check your answer by division algorithm" is intended to mean. The result of the division (stopping at 1 decimal place) is 3092.5.
The usual method of checking a division problem is to multiply the quotient by the divisor to see if the dividend value is the result. Here, we have ...
13×3092.5 = 40202.5
This differs by from the dividend of 40203 by 0.5, which is the remainder showing in our long division. In short, the answer checks OK.
__
b) The value of each 4 is found by setting other digits to 0.
Most significant 4: 40,000
Least significant 4: 400
Difference in place value: 40,000 -400 = 39,600
__
c) The balance in the account is found by subtracting withdrawals from deposits:
₹35000 -6245 = ₹28,755
