Answer:
90 days
Step-by-step explanation:
b= number of days til her birthday
s = number of days til summer
b+s =135
b = 2s
2s+s = 135
3s = 135
Divide by 3
3s/3 =135/3
s =45
b = 2s = 2(45) = 90
f(x) = 2x2 + 4x - 5
g(x) = 6x3 – 2x2 + 3
Find (f + g)(x).
Answer:
4x-5=4x-5
(f+g) (x)=6x³+3Step-by-step explanation:
A company is reviewing tornado damage claims under a farm insurance policy. Let X be the portion of a claim representing damage to the house and let Y be the portion of the same claim representing damage to the rest of the property. The joint density function of X and Y is Determine the probability that the portion of a claim representing damage to the house is less than 0.2.
Answer:
Please find the complete question in the attachment.
Step-by-step explanation:
The likelihood of the part of claims that is less than 0.05 for all the houses is calculated as:
[tex]P(X < 0.05) = int^{0.05}_{0} int^{1-x}_{0} f(x,y) \ dy\ dx\\\\[/tex]
[tex]= \int^{0.05}_{0} \int^{1-x}_{0} 6(1-x-y) \ dy\ dx\\\\= \int^{0.05}_{0} 6((1-x)-x(1-x)-\frac{(1-x)^2}{2}) \ dx\\\\ = \int^{0.05}_{0} 6(1-2x+x^2-0.5-0.5x^2+x) \ dx\\\\= \int^{0.05}_{0} 6(0.5x^2-x+0.5) \ dx\\\\= 6(0.5\times \frac{0.05^3}{3} -\frac{0.05^2}{2}+0.5 \times 0.05 )\\\\ =0.1426\\\\[/tex]
Given the exchange rate as K1: HK$1.353, calculate Hong Kong dollar equivalent of K70
Answer:
The Hong Kong dollar equivalent of K70 is HK $ 94.71.
Step-by-step explanation:
Given the exchange rate as K1: HK $ 1,353, to calculate Hong Kong dollar equivalent of K70 the following calculation must be performed:
1,353 x 70 = X
94.71 = X
Therefore, the Hong Kong dollar equivalent of K70 is HK $ 94.71.
Please I need a step by step explanation ASAP.
Calculate the perimeter and area of the shape below:
Answer:
38.6 cm
Step-by-step explanation:
add all of the sides up to get your perimeter
Answer this please~!!!!
Answer:
12
Step-by-step explanation:
113.04=3.14 x 3^2 x h/3
If there is a 65% chance you will make a free throw, what percent of the
time you will miss? *
Given:
There is a 65% chance you will make a free throw.
To find:
The percent of the time you will miss.
Solution:
If p is the percent of success and q is the percent of failure, then
[tex]p+q=100\%[/tex]
[tex]q=100\%-p[/tex] ...(i)
It is given that there is a 65% chance you will make a free throw. It means the percent of success is 65%. We need to find the percent of the time you will miss. It means we have to find the percent of failure.
Substituting p=65% in (i), we get
[tex]q=100\%-65\%[/tex]
[tex]q=35\%[/tex]
Therefore, there is a 35% chance you will miss the free throw.
For a standard normal distribution, find:
P(z > -1.6)
Express the probability as a decimal rounded to 4 decimal places.
Answer:
P(z > -1.76) = 1 - P(z < -1.76) = 1 - 0.0392 = 0.960
What is the common difference in this sequence: 3, 11, 19, 27,35?
1
ОА.1/8
O B. 3
O C. 8
O D. 12
Answer:
8
Step-by-step explanation:
To determine the common difference, take the second term and subtract the first term
11-3 = 8
Check with the other terms in the sequence
19-11= 8
27-19 = 8
35-27=8
The common difference is 8
Answer:
C. 8
Step-by-step explanation:
There is a common difference between them and that’s 8.
3 + 8 = 11
11 + 8 = 19
19 + 8 = 27
27 + 8 = 35
Select the correct answer.
What is this equation rewritten in exponential form?
log7 343 = 3
Answer:
b.,............................
Step-by-step explanation:
correct answer.
The equation which is rewritten of [tex]log_{7}[/tex] (343) = 3 will be 7³ = 343 which means the option (B) will be correct.
What is a logarithm?The exponent indicates the power to which a base number is raised to produce a given number called a logarithm.
In another word, a logarithm is a different way to denote any number.
By log property of [tex]log_{a}[/tex] b = x ⇒ [tex]a^{x}[/tex] = b
So [tex]log_{7}[/tex] (343) = 3 ⇒ 7³ = 343 will be the correct answer to the question.
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Assume that in the absence of immigration and emigration, the growth of a country's population P(t) satisfies dP/dt = kP for some constant k > 0.
a. Determine a differential equation governing the growing population P(t) of the country when individuals are allowed to immigrate into the country at a constant rate r > 0.
b. What is the differential equation for the population P(t) of the country when individuals are allowed to emigrate at a constant rate r > 0?
Answer:
[tex](a)\ \frac{dP}{dt} = kP + r[/tex]
[tex](b)\ \frac{dP}{dt} = kP - r[/tex]
Step-by-step explanation:
Given
[tex]\frac{dP}{dt} = kP[/tex]
Solving (a): Differential equation for immigration where [tex]r > 0[/tex]
We have:
[tex]\frac{dP}{dt} = kP[/tex]
Make dP the subject
[tex]dP =kP \cdot dt[/tex]
From the question, we understand that: [tex]r > 0[/tex]. This means that
[tex]dP =kP \cdot dt + r \cdot dt[/tex] --- i.e. the population will increase with time
Divide both sides by dt
[tex]\frac{dP}{dt} = kP + r[/tex]
Solving (b): Differential equation for emigration where [tex]r > 0[/tex]
We have:
[tex]\frac{dP}{dt} = kP[/tex]
Make dP the subject
[tex]dP =kP \cdot dt[/tex]
From the question, we understand that: [tex]r > 0[/tex]. This means that
[tex]dP =kP \cdot dt - r \cdot dt[/tex] --- i.e. the population will decrease with time
Divide both sides by dt
[tex]\frac{dP}{dt} = kP - r[/tex]
A solid oblique pyramid has a square base with edges measuring x cm. The height of the pyramid is (x + 2) cm.
A solid oblique pyramid has a square base with edges measuring x centimeters. The height is (x + 2) centimeters.
Which expression represents the volume of the pyramid?
StartFraction x cubed + 2 x squared Over 3 EndFraction cm3
StartFraction x squared + 2 x squared Over 2 EndFraction cm3
StartFraction x cubed Over 3 EndFraction cm3
StartFraction x cubed + 2 x squared Over 2 EndFraction cm3
Answer:
Hello,
Answer A StartFraction x cubed + 2 x squared Over 3 EndFraction cm3
Step-by-step explanation:
[tex]V=x^2*\dfrac{x+2}{3} \\\\\boxed{V=\dfrac{x^3+2x^2}{3} }\\[/tex]
the third of the sum of the cube of x and double of the square of x ( cm³)
The Volume of pyramid with a square base of side x cm and height of (x + 2) cm is (x³ + 2x²) / 3
What is volume?
Volume is the amount of space occupied by a three dimensional shape or object.
Area of the square base = x * x = x² cm²
Volume of pyramid = (1/3) * area of base * height = (1/3) * x² * (x + 2)
Volume of pyramid = (x³ + 2x²) / 3
The Volume of pyramid with a square base of side x cm and height of (x + 2) cm is (x³ + 2x²) / 3
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a square has a length of 6 ft use an exponent to express its area and evaluate
Answer:
[tex]{ \tt{area = 4(length)}} \\ = 4 \times 6 \\ = 24 \: {ft}^{2} [/tex]
y _minus 7 equal 10.find y
Answer:
y=17
Step-by-step explanation:
y-7=10
transpose 7
y=10+7
y=17
ABCD is
square forces 1,2,3,4 and
2.828427125newtons act at
a point in directions
AB, BC, CD, DA and AC.find the resultant.
9514 1404 393
Answer:
0
Step-by-step explanation:
Force AC resolves to 2 N in the AB direction and 2 N in the BC direction. Directions AB and CD are opposite, as are directions BC and DA. So, the sum of forces in the AB direction is ...
AB -CD +part of AC = 1 -3 +2 = 0
The sum of forces in the BC direction is ...
BC -DA +part of AC = 2 -4 +2 = 0
The resultant of these 5 forces is 0. There is no net force in any direction.
Find x on this triangle
Answer:
3 sqrt(3) =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos 30 = x/6
6 cos 30 = x
6 ( sqrt(3)/2) = x
3 sqrt(3) =x
Please helps me out !!!
Answer:
x = 74.2
Step-by-step explanation:
Recall: SOH CAH TOA
Reference angle (θ) = 70°
Angle opposite reference angle = x
Adjacent side = 28
Since we have Adjacent side and opposite side, we would apply the trigonometric ratio, TOA:
Tan θ = Opp/Adj
Substitute
Tan 70 = x/27
27*Tan 70 = x
x = 74.2 (nearest tenth)
HELP PLZ<3
An international company has 28,300 employees in one country. If this represents 34.1% of the company's employees, how many employees does it have in
total?
Round your answer to the nearest whole number.
Answer:
82991 employees
Step-by-step explanation:
One way to solve this would be to solve for 1% of the company's employees and use that value to solve for 100% (100%=the whole part, or the total). We know that
28300 = 34.1%
If we divide a number by itself, it turns into 1. Dividing both sides by 34.1, we get
829.912 = 1%
Then, we know that anything multiplied by 1 is equal to itself. We want to figure out 100%, or the whole part, so we can multiply both sides by 100 to get
100% = 82991
If you make $11.25/hour, how many hours will you need to work to earn $416.25? Please explain how you figured this out.
Answer:
37 hours.
Step-by-step explanation:
Since you need $416.25 start with that. Then divide by $11.25 to see how many hours you need to work. 416.25 divided by 11.25 is 37.
find the value of 'x' in the given figure
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
(2x-20)°+(x+65)°=180°2x-20+x+65=1803x+45=1803x=180-453x=135x=135/3x=45°WILL MAKE BRAINLIEST
Answer:
x=3
Step-by-step explanation:
The ratios need to be the same
AB CB
---------- = ----------
AD ED
3 x
----- = ---------
3+9 12
3 x
----- = ---------
12 12
X must equal 3
In the picture the exponent says 5/3
Answer:
the answer is B
Step-by-step explanation:
[tex] {{ (- 2)}^{3}}^{5 \div 3} = { ( - 2)}^{5} = - 32[/tex]
write -8 form of 2 on up and complete other steps
Rubin grew 9 tomatoes with 6 seed packs. How many seed packs does Rubin need to have a total of 21 tomatoes in his garden?
Answer: 14 seed packs
Step-by-step explanation:
You'd divide the 9 tomatoes by the 6 seed packs that were necessary to grow them, resulting in 1.5 tomatoes per seed pack. Divide 21 by this 1.5 to find the number of seed packs needed to grow 21 tomatoes, which would be 14.
wrote the terms below.
–8, –4, 0, 4, 8, 12
What do these terms represent?
an arithmetic series
an arithmetic sequence
a geometric series
a geometric sequence
Answer:
an arithmetic sequence
Step-by-step explanation:
an arithmetic series is wrong also heres an example i found of an arithmetic sequence
The terms in the given sequence represents an arithmetic sequence.
What is Arithmetic Sequence?Arithmetic sequence is a sequence of numbers where the numbers are arranged ion a definite order such that the difference of two consecutive numbers is a constant. This constant of difference is called common difference which is commonly denoted by the letter 'd'.
Given sequence of numbers is,
-8, -4, 0, 4, 8, 12, ......
We have to find which sequence does it represent.
This is not a series since they are not represented as the sum.
If the sequence is a geometric sequence, then the ratio of consecutive numbers will be same.
If it is arithmetic sequence, then the difference of consecutive numbers will be same.
Here, ratio is not same.
Difference are same.
-4 - -8 = 4, 0 - -4 = 4, 4 - 0 = 4, 8 - 4 = 4, ........
Common difference is 4.
Hence it is an arithmetic sequence.
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faith is 16 years older than precoius in 10 years time. faith will be double Precious age. How old is precious?
Answer:
6 years old
Step-by-step explanation:
Let [tex]f[/tex] represent Faith's current age and let [tex]p[/tex] represent Precious's current age.
Faith is 16 years older than Precious:
[tex]f=p+16[/tex]
In 10 years' time, Faith will be double Precious's age:
[tex]f+10=2(p+10)[/tex]
We can substitute the top equation into the bottom equation:
[tex](p+16)+10=2(p+10)[/tex]
We can combine like terms on the left side and expand out the right side:
[tex]p+26=2p+20[/tex]
We can subtract p from both sides, and then subtract 20 from both sides to get:
[tex]6=p[/tex]
This means Precious is 6 years old.
Solve for f(-2)
PLEASE HELPPPPP
Answer:
5/9
Step-by-step explanation:
f(x) = 5 * 3^x
Let x = -2
f(-2) = 5 * 3^-2
We know a^-b = 1/a^b
= 5 * 1/3^2
= 5/9
F(-2) means the value of x is -2
Replace x with -2 and solve:
3^-2 = 1/9
5 x 1/9 = 5/9
Answer: D.5/9
al calls every 3 days, lee every 4 days, and pat every 6 day. Once every ? days, all three will call on the same day
Answer:
12
Step-by-step explanation:
Find the LCM (Least Common Multiple) of the three numbers.
We could multiply 3 x 4 x 6 to get 72, but there is a smaller multiple, 12.
6 x 2 = 12
4 x 3 = 12
3 x 4 = 12
Hope this helps!
Evaluate (f *g)(x) if f(x) = 2x^2 and g(x) = 3x – 2.
Answer:
6x^3 - 4x^2
Step-by-step explanation:
f(x) = 2x^2 and g(x) = 3x – 2
(f*g) (x) = 2x^2 * (3x-2)
= 6x^3 - 4x^2
Answer:
6x^3 - 4x^2
Step-by-step explanation:
(f*g)(x)
(2x^2)(3x-2)(x)
(6x^3 - 4x^2)(x)
Determine if the triangles are similar. If they are, state the theorem.
9514 1404 393
Answer:
ΔGHF ~ ΔMLF by AA theorem
Step-by-step explanation:
How many subsets will the sets have? {sheep that have eight legs }
Answer:
256
Step-by-step explanation:
How to find subsets = 2 raise the power n.
N=number of elements in a set.
=2raise the power 8 which is 256.
Is 1 2/6 a rational number?
Answer:
Yes, it is rational number.
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
Hope it is helpful.....