Answer:
The square will have length 13 cm only and it's perimeter will be:
4l
4×13cm
52cm
I hope it helps you
Find the surface area of the cone.Use 3.14 for pi and round your answer to the nearest hundredth
Answer:
145.0 cm^2
Step-by-step explanation:
Given data
r= 4cm
l= 5cm
h=??
Apply Pythagoras theorem to find h we have
h^2= 4^2+5^2
h^2= 16+25
h^2= 41
h=√41
h= 6.4cm
Substitute into the formula for the surface area of cone
A=πr(r+√h^2+r^2)
A=3.14*4(4+√6.4^2+4^2)
A=12.56(4+√40.96+16)
A=12.56(4+√56.96)
A=12.56(4+7.547)
A=12.56*11.547
A=145.0 cm^2
ab" that goes through points (0,9)
Write an exponential function in the form y
and (5,2187)
9514 1404 393
Answer:
y = 9(3^x)
Step-by-step explanation:
We assume you want a function in the form ...
y = a(b^x)
that passes through points (0, 9) and (5, 2187).
Filling in the given point values, we have ...
9 = a(b^0) = a
2187 = a(b^5) = 9(b^5) . . . . using the above value of 'a'
Dividing the second equation by 9 and taking the 5th root, we find b.
(2187/9) = b^5
243^(1/5) = b = 3
The exponential function is ...
y = 9(3^x)
What are the center and radius of a circle whose equation is:
(x−A)2+(y−B)2=C
Question options:
a)
Center: (−A,−B), radius = C
b)
Center: (−A,−B), radius =C −−√
c)
Center: (A, B), radius = C
d)
Center: (A, B), radius =C −−√
Answer:
d)
Step-by-step explanation:
Equation of circle with center at point (h, k) and radius, r.
[tex] (x - h)^2 + (y - k)^2 = r^2 [/tex]
This problem:
(x − A)^2 + (y − B)^2 = C
The center is (A, B).
The radius is sqrt(C).
Answer: d)
Ben in n years old chloe is twice as old as Ben Dan is 5 years younger than Ben
The total of bens age, chloes age, and Dan’s age is T years
Find a formula for T in terms of n
Answer:
T = 4n - 5
Step-by-step explanation:
Ben = n
Chloe = 2n
Dan = n - 5
n + 2n + (n - 5) = T years
3n + n - 5 = T years
4n - 5 = T years
find the value for x y and z
Answer:
All triangles add up to 180 degrees so...
180 - 43 - 59 = 78 degrees.
So x - 78 degrees.
x and y are supplementary angles so...
180 - 78 = 102.
So y = 102.
180 - 102 - 49 = 29 degrees
So z = 29 degrees
Hope this helps!
The dot plots show the number of hours a lightbulb lasts from two different brands. Brand A. Number of hours per lightbulb 1000 4200 1400 1500 1800 2000 Brand B Number of hours per lightbulb .. 1200 1400 1600 1800 2000 Which of the following statements is correct? A. There were more lightbulbs in the dot plot for brand B than in the dot plot for brand A. B. The mean for brand A is the same as the mean for brand B. C. The mean for brand A is higher than the mean for brand B. D. The mean for brand B is higher than the mean for brand A.
Answer:
Step-by-step explanation:
The mean for brand A is higher than the mean for brand B
The mean for brand A is higher than the mean for brand B because the mean for A is 1983.33 and the mean for B is 1600 statement (C) is correct.
What is mean?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
We have:
For brand A:
The number of hours per lightbulb:
1000, 4200, 1400, 1500, 1800, 2000
Mean for brand A:
[tex]\rm Mean(A) = \frac{Sum \ of \ all \ data \ values}{Number \ of \ data \ in \ the\ set}[/tex]
[tex]\rm Mean(A)= \frac{1000+4200+1400+1500+1800+ 2000}{6}[/tex]
[tex]\rm Mean(A)= \frac{11900}{6}\\\\\rm Mean(A) = 1983.33[/tex]
For Brand B:
The number of hours per lightbulb:
1200, 1400, 1600, 1800, 2000
Mean for brand B:
[tex]\rm Mean(B) = \frac{Sum \ of \ all \ data \ values}{Number \ of \ data \ in \ the\ set}[/tex]
[tex]\rm Mean(B)= \frac{1200 +1400 +1600 +1800 +2000}{6}[/tex]
[tex]\rm Mean(B)= \frac{8000}{5}\\\\\rm Mean(B) = 1600[/tex]
We can see that:
Mean(A) > Mean(B)
Thus, the mean for brand A is higher than the mean for brand B because the mean for A is 1983.33 and the mean for B is 1600 statement (C) is correct.
Learn more about the mean here:
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Alternate exterior angles are congruent which angle forms a pair of alternate exterior angles with angle 2?
g Suppose, for simplicity, that three main parts of a laptop are CPU, RAM, and hard drive;so if one of theses components fails, the laptop fails. Assume that the life times of CPU, RAM, and hard drive are exponentially distributed with mean 3 years, 2 years, and 5 years, respectively. If the company that sells these laptops guarantees the replacement of any laptops that fail in the first year, anda replacement costs $500, what would be the average yearly replacement cost
Answer:
The average yearly replacement cost is approximately $32,211,500
Step-by-step explanation:
Exponential Distribution
P(X < x) = 1 - e -x/
[tex]P(X < x) = 1 - e^{\dfrac{-x}{\mu}}[/tex]
For the CPU, μ = 3 years
The probability that a CPU fails in less than 1 year is therefore;
P(C) = [tex]P(X < 1) = 1 - e^{\dfrac{-1}{3}} \approx 0.2835[/tex]
For the RAM, μ = 2 years
The probability that a RAM fails in less than 1 year is therefore;
P(R) = [tex]P(X < 1) = 1 - e^{\dfrac{-1}{2}} \approx 0.3935[/tex]
For the hard drive, μ = 5 years
The probability that a hard drive fails in less than 1 year is therefore;
P(H) = [tex]P(X < 1) = 1 - e^{\dfrac{-1}{5}} \approx 0.1813[/tex]
The probability that either a CPU, or a RAM or a hard drive fails in 1 year so that a replacement is required, P(C ∪ R ∪ H), is given as follows;
P(C ∪ R ∪ H) = P(C) + P(R) + P(H) - P(C∩R) - P(C∩H) - P(R∩H) + P(C∩R∩H)
∴ P(C ∪ R ∪ H) = 0.2835 + 0.3935 + 0.1813 - (0.2835 × 0.3935) - (0.2835 × 0.1813) -(0.3935 × 0.1813) + (0.2835 × 0.3935 × 0.1813) ≈ 0.64423
∴ P(C ∪ R ∪ H) ≈ 0.64423
There is a 0.64423 chance that a laptop will require replacement
For 100,000 laptops sold a year and a replacement cost of $500 per laptop, we have;
The average yearly replacement cost, 'Cost' is given as follows;
Cost = 500 × 100,000 × 0.64423 = 32,211,500
The average yearly replacement cost, Cost ≈ $32,211,500
How do you solve for 4-9i/-6i
Answer:
6i
Step-by-step explanation:
Oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were million barrels of oil in the well; six years later barrels remain.At what rate was the amount of oil in the well decreasing when there were barrels remaining
Answer:
The amount of oil was decreasing at 69300 barrels, yearly
Step-by-step explanation:
Given
[tex]Initial =1\ million[/tex]
[tex]6\ years\ later = 500,000[/tex]
Required
At what rate did oil decrease when 600000 barrels remain
To do this, we make use of the following notations
t = Time
A = Amount left in the well
So:
[tex]\frac{dA}{dt} = kA[/tex]
Where k represents the constant of proportionality
[tex]\frac{dA}{dt} = kA[/tex]
Multiply both sides by dt/A
[tex]\frac{dA}{dt} * \frac{dt}{A} = kA * \frac{dt}{A}[/tex]
[tex]\frac{dA}{A} = k\ dt[/tex]
Integrate both sides
[tex]\int\ {\frac{dA}{A} = \int\ {k\ dt}[/tex]
[tex]ln\ A = kt + lnC[/tex]
Make A, the subject
[tex]A = Ce^{kt}[/tex]
[tex]t = 0\ when\ A =1\ million[/tex] i.e. At initial
So, we have:
[tex]A = Ce^{kt}[/tex]
[tex]1000000 = Ce^{k*0}[/tex]
[tex]1000000 = Ce^{0}[/tex]
[tex]1000000 = C*1[/tex]
[tex]1000000 = C[/tex]
[tex]C =1000000[/tex]
Substitute [tex]C =1000000[/tex] in [tex]A = Ce^{kt}[/tex]
[tex]A = 1000000e^{kt}[/tex]
To solve for k;
[tex]6\ years\ later = 500,000[/tex]
i.e.
[tex]t = 6\ A = 500000[/tex]
So:
[tex]500000= 1000000e^{k*6}[/tex]
Divide both sides by 1000000
[tex]0.5= e^{k*6}[/tex]
Take natural logarithm (ln) of both sides
[tex]ln(0.5) = ln(e^{k*6})[/tex]
[tex]ln(0.5) = k*6[/tex]
Solve for k
[tex]k = \frac{ln(0.5)}{6}[/tex]
[tex]k = \frac{-0.693}{6}[/tex]
[tex]k = -0.1155[/tex]
Recall that:
[tex]\frac{dA}{dt} = kA[/tex]
Where
[tex]\frac{dA}{dt}[/tex] = Rate
So, when
[tex]A = 600000[/tex]
The rate is:
[tex]\frac{dA}{dt} = -0.1155 * 600000[/tex]
[tex]\frac{dA}{dt} = -69300[/tex]
Hence, the amount of oil was decreasing at 69300 barrels, yearly
If x + y = 5 and x - y = 3, then x^2 - y^2 = ?
A) 9
B) 15
C) 16
D) 25
E) 34
With steps pleaseee
Answer:
B) 15
Step-by-step explanation:
Using basic logic we find that x = 4 and y = 1
4^2 = 16
1^2 = 1
16 - 1 = 15
THIS IS 7TH GRADE MATH SO ITS EASY
Answer:
b
Step-by-step explanation:
Can someone please help me with this ?
The area of the state of Nevada can be estimated using a trapezoid. Estimate the area of the state of Nevada.
A. 31,672 mi2
B. 78,980 mi2
C. 110,622 mi2
D. 131,327 mi2
Answer: 31,672 mi2
Step-by-step explanation:
The area of the state of Nevada can be estimated using a trapezoid
Find the 9th term of the geometric sequence 5, -25, 125, ...
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Answer:
1,953,125
Step-by-step explanation:
The first term is a1 = 5; the common ratio is r = -25/5 = -5. The generic term is ...
an = a1×r^(n-1)
an = 5×(-5)^(n-1)
So, the 9th term is ...
a9 = 5×(-5)^(9-1) = 1,953,125
The selling price of 3 cucumbers is $2.00
complete the table to show the relationship between the number of cucumbers and the selling price, Inter a number in each box
Number of Cucumbers
Selling Price
$2.00
$6.00
12
PLEASE HELP FAST ILL GIVE POINTS AND BRAINIEST
Answer:
The first blank is 9 for 9 cucumbers
The second blank is 8 dollars
Step-by-step explanation:
We can use ratios to solve
3 cucumbers x cucumbers
--------------------- = ----------------------
2 dollars 6 dollars
Using cross products
3*6 = 2x
18 = 2x
Divide by 2
18/2 = 2x/2
9 =x
We need 9 cucumbers
For the third row
3 cucumbers 12 cucumbers
--------------------- = ----------------------
2 dollars y dollars
Using cross products
3*y = 2*12
3y = 24
Divide by 3
3y/3 = 24/3
y = 8
We need 8 dollars
Plz help me fast!!! Plzzzz
Step-by-step explanation:
tan = opp/adj
tan B = x/y
hope this helps
A baby's weight rose from 19 1/2 pounds to 19 7/8pounds. What was the change in the baby's weight in pounds?
Answer:
it rose three eighths of a pound
Can somebody help me?
Answer:I cannot see photo
All of the following should be considered when designing a study except __________. A. the type of research method to use B. how to interpret collected data C. who the participants will be D. the type of measurement to use Please select the best answer from the choices provided A B C D
Answer:
b. How to interpret collected data.
Step-by-step explanation:
Answer:
All of the following should be considered when designing a study except __________.
( A.) the type of research method to use
( B.) how to interpret collected data (ANSWER)
( C.) who the participants will be
( D.) the type of measurement to use
Expand and simplify (2x - 3)(3x -5)
Answer:
Step-by-step explanation:
Bonjour,
2x*3x =6x²
2x* -5 = -10x
-3 * 3x = -9x
-3*-5 = 15
=>
6x² -10x - 9x +15 = 6x ² -19x +15
Answer:
6x^2 - 19x + 15.
Step-by-step explanation:
(2x - 3)(3x -5)
= 2x(3x - 5) - 3(3x - 5)
= 6x^2 - 10x - 9x + 15
= 6x^2 - 19x + 15.
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AB = 24
and AD = 12, what is the length of AC?
A
12
D
24
Answer: x=48
Step-by-step explanation:
The length AC of the right-angle triangle will be 48 units.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
According to the hypotenuse-leg (HL) principle, a right triangle is harmonious if each of its third side and legs are congruent with its equivalent hypotenuse and legs in another right triangle. The HL theorem proves that these triangles are identical.
AC / AB = AB / AD
AC / 24 = 24 / 12
AC = 48 units
The length AC of the right-angle triangle will be 48 units.
More about the right-angle triangle link is given below.
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$1,200 Is Invested in two different accounts paying 6% and 8% Interest. If a total of $81 Interest is earned after one year,
then how much money was Invested at 8%?
$1,200
$750
$450
$800
Answer:
It would be A
Step-by-step explanation:
i will give lots of points for these 4 answers
Answer:
1&3 are wrong 4 and 2 are right
Step-by-step explanation:
may i be marked brainliest
Find the volume of the cone
Answer:
100.53
Step-by-step explanation:
V = π r^2 h/3fill in what you know V= π 4^2 6/3solveDetermine the values of the following quantities. (Round your answers to three decimal places.) A button hyperlink to the SALT program that reads: Use SALT. (a) t0.10, 18 1.735 Incorrect: Your answer is incorrect. (b) t0.05, 18 2.101 Incorrect: Your answer is incorrect. (c) t0.05, 23 1.714 Correct: Your answer is correct. (d) t0.05, 60 1.671 Correct: Your answer is correct. (e) t0.005, 60 2.915 Incorrect: Your answer is incorrect.
Answer:
1.330391 ; 1.734064 ; 1.713872 ; 1.670649 ;
Step-by-step explanation:
a) t0.10, 18
α = 0.10 ; df = 18
From table, critical value = 1.330
(b) t0.05, 18
α = 0.05 ; df = 18
From table, critical value = 1.734
(c) t0.05, 23
α = 0.05 ; df = 23
From table, critical value = 1.714
(d) t0.05, 60
α = 0.05 ; df = 60
From table, critical value = 1.671
(e) t0.005, 60
α = 0.05 ; df = 60
From table, critical value = 2.660
What is the distance between (-4, 8) and (12, 8) on the coordinate plane? A 16 units B 8 units C 0 units D 4 units
Answer:
16 units
Step-by-step explanation:
We need to find the distance between (-4, 8) and (12, 8) on the coordinate plane.
We know that the distance between two points on the coordinate plane is given by :
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Put x₁ = -4, x₂ = 12, y₁ = 8 and y₂ = 8
So,
[tex]D=\sqrt{(12-(-4))^2+(8-8)^2}\\\\=16\ units[/tex]
So, the distance between the two points is equal to 16 units.
please help and explain how you got the answer:)
using cos to get x
cos -1 of 13/20
= 49.45
then y = 40.54° using sin y= opp /hyp =13\15
then the sin-1 of 13/20 =40.54 •
1/3 of 3/7=__
pls i need help
Answer:
the answer is 0.14285714285 theres whole answer because i dont know if u need it rounded or not
Step-by-step explanation:
the bitly stuff is not real
A man is three times as old as his daughter. If the difference in their ages is 36 years, find the ages of the father and daughter.
Answer:
man's age = 54
daughter's age = 18
Step-by-step explanation:
x = man's age
y = daughters age
x = 3y
x - y = 36
substitute for x:
3y -y = 36
2y = 36
y = 18
x = 54
If a man has a daughter who is three times his age. The father and daughter will be 54 and 18, respectively, assuming their ages are 36 years distant.
What is an equation?Equations are statements that affirm the equivalence of two expressions that are joined by the equals symbol "=". An equal sign ("=") links two expressions together to form an equation. The two expressions on each side of the equals sign are referred to as the "left-hand side" and "right-hand side" of the equation.
It is given that, A man is three times as old as his daughter. If the difference in their ages is 36 years,
We have to find the ages of the father and daughter.
Suppose the age of the father and daughter will be x and y respectively.
If the man is three times as old as his daughter,
x = 3y
If the difference in their ages is 36 years
x - y = 36
Put the value of x as,
3y -y = 36
2y = 36
y = 18
x = 54
Thus, if a man has a daughter who is three times his age. The father and daughter will be 54 and 18, respectively, assuming their ages are 36 years distant.
.Learn more about the equation here,
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