Answer: 0.8 ------ 1,600
Step-by-step explanation:
9. The Empire State Building in New York is
hit by lightning about 100 times a year.
The building opened in 1931. About how
many times was it hit by lightning by the
year 2000? (69 years)
6,900 times is the answer,also can i get brainliest
Helppppp pleaseeee xxx
What is the value of 2a-b
Answer:
The answer is 13.
Step-by-step explanation:
(b) Find the value of 2a + b: Remember that 2a means 2 × a. Replacing a by 4 and b by 7 gives 2×4 + 7.
Two possible values for 2a - b are 4i√2 and -4i√2, where 'i' is the imaginary unit.
To find the value of 2a - b, we need to eliminate 'b' from the two equations given.
Given equations:
1. 2a + b = 4
2. ab = -3
Let's solve for 'a' and 'b' using these equations.
Step 1: Solve for 'b' in terms of 'a' from equation (1).
2a + b = 4
b = 4 - 2a
Step 2: Substitute the value of 'b' from step 1 into equation (2).
a(4 - 2a) = -3
[tex]4a - 2a^2 = -3[/tex]
Step 3: Rearrange the equation to a quadratic form:
[tex]2a^2 - 4a + 3 = 0[/tex]
Step 4: Solve the quadratic equation for 'a'. You can use the quadratic formula:
a = [ -(-4) ± √([tex](-4)^2[/tex] - 4*2*3) ] / (2*2)
a = [ 4 ± √(16 - 24) ] / 4
a = [ 4 ± √(-8) ] / 4
a = [ 4 ± 2i√2 ] / 4
a = 1 ± i√2
Now we have two possible values for 'a': a = 1 + i√2 and a = 1 - i√2, where 'i' is the imaginary unit (√(-1)).
Step 5: Find the corresponding values of 'b' using the equation b = 4 - 2a.
For a = 1 + i√2:
b = 4 - 2(1 + i√2) = 4 - 2 - 2i√2 = 2 - 2i√2
For a = 1 - i√2:
b = 4 - 2(1 - i√2) = 4 - 2 + 2i√2 = 2 + 2i√2
Now we have two sets of values for 'a' and 'b':
1. a = 1 + i√2, b = 2 - 2i√2
2. a = 1 - i√2, b = 2 + 2i√2
Step 6: Calculate the value of 2a - b for each set of values:
For a = 1 + i√2, b = 2 - 2i√2:
2a - b = 2(1 + i√2) - (2 - 2i√2)
= 2 + 2i√2 - 2 + 2i√2
= 4i√2
For a = 1 - i√2, b = 2 + 2i√2:
2a - b = 2(1 - i√2) - (2 + 2i√2)
= 2 - 2i√2 - 2 - 2i√2
= -4i√2
So, the two possible values for 2a - b are 4i√2 and -4i√2, where 'i' is the imaginary unit.
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Complete Question:
If 2a + b = 4 and ab = -3, what is the value of 2a - b
What is the vector sum of 7, 5 and 13, −5? 20, 0 20, 10 6, 0 6, 10
Answer:
{20, 0}.
Step-by-step explanation:
1058 rounded to the nearest hundred
Answer:
1100
Step-by-step explanation:
Rounded to nearest hundred
Here we will tell you what 1058 is rounded to the nearest hundred and also show you what rules we used to get to the answer.
Remember, we did not necessarily round up or down, but to the hundred that is nearest to 1058.
First, 1058 rounded to the nearest hundred is:
1100
When rounding to the nearest hundred, like we did with 1058 above, we use the following rules:
A) We round the number up to the nearest hundred if the last two digits in the number are 50 or above.
B) We round the number down to the nearest hundred if the last two digits in the number are 49 or below.
C) If the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.
2. Suppose you are considering buying a Toyota Prius, which starts at $25,000 and gets 50
mpg. A similarly equipped Honda Accord will start at $22,000 but will get 31 mpg.
(a) How many miles will it take the Prius to recoup the price difference?
Answer:
If a gallon of gas costs $2.9
The Prius can drive 50 miles with one gallon.
then for m miles, it needs:
(m/50) gallons.
and each gallon costs $2.9
Then for driving m miles, the cost would be:
(m/50)*$2.9
Then the total cost of buying the Prius and driving for m miles is:
P(m) = $25,000 + (m/50)*$2.9
We can do a similar approach for the Accord's case.
The Accord can drive 31 miles with one gallon.
Then if it drives m miles, it will need:
(m/31) gallons.
And knowing that each gallon costs $2.9, the cost for driving m miles is:
(m/31)*$2.9
Then the total cost of buying an Accord and driving for m miles is:
A(m) = $22,000 + (m/31)*$2.9
We want to find the value of m, such that the cost of the Prius is smaller than the cost of the Accord.
Then the first thing we need to find is the value of m such that the costs are equal:
P(m) = A(m)
$25,000 + (m/50)*$2.9 = $22,000 + (m/31)*$2.9
$25,000 - $22,000 = (m/31)*$2.9 - (m/50)*$2.9
$3,000 = m*$2.9*(1/31 - 1/50)
$3,000/($2.9*(1/31 - 1/50)) = m = 84,392
This means that if you drive more than 84,392 miles, then the cost of the Prius will be smaller.
I
Tony's Tires has shown growth over the last month that follows the
equation Sales = 4(Day of the month) +16. On what day of the month will
Tony's Tires double its first day sales?
Answer:
Step-by-step explanation:
The sales will double on the 6th day of the month
The equation sales for last month = 4(day of the month) + 16
let
x = day of the month
The day of the month could be 1, 2, 3, 4, 5, 6, 7, 8...…31. The numbers represents the first, second, third ,...… thirty first day.
Sales = 4x + 16
From the equation, on the first day his sales will be :
sales = 4(1) + 16 = 20 units
The double of 20 units is 40 units. Therefore, the day of the month which the sales will double can be calculated below
40 = 4x + 16
40 - 16 = 4x
4x = 24
x = 24 / 4
x = 6
it will double on the 6th day.
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If the probability of getting a head on an unfair coin is 78%, what is the probability of getting a tail?
Answer:
22% or 22/100 which is 11/50
Step-by-step explanation:
which table represents a function?
Differentiate
respect to x, (3x²+2)³
Answer:
3(3×2x + 0)(3x²+2)² = 18x(3x²+2)²
What is the area of a rectangle with the measurement of the length of 12 and width of 6
Answer:
72 units^2
Step-by-step explanation:
Find the area of the triangle pictured above.
Answer:
24.5
Step-by-step explanation:
7^2=49
49/2=24.5
The mean time between failures (MTBF) is a common metric used to measure the performance of manufacturing systems. MTBF is the elapsed time between failures of a system during normal operations. The failures could be caused by broken machines or computer errors, among other failures. Suppose that the MTBF for a new automated manufacturing system follows an exponential distribution with a mean of 12.2 hours. (a) What is the probability that the automated manufacturing system runs for more than 18 hours without a failure
Answer:
0.2287
Step-by-step explanation:
The computation of the probability that the automated manufacturing system runs for more than 18 hours without a failure is shown below:
P(X > 17) = 1 - P(X < 17)
= 1 - [1 - e^-18 ÷ 12.2]]
= 1 - [1 -0.228684984 ]
= 0.2287
a - b/c when a = 0.6, b = 0.2, and c = 0.5
Answer:
a-b/c
or
0.6-0.2/.5
0.6-0.4
0.2
What is the true solution to 3 In 2+ In 8 = 2 In(4x)?
Ox=1 X=2
OX=4
OX= 8
Answer:
x=2
Step-by-step explanation:
The true solution to the equation 3log2 + log 8 = 2 log(4x) is x=2, Option B is correct.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 3log2 + log 8 = 2 log(4x)
We have to calculate the value of x
We know that, x logb=log bˣ
and loga + logb = logab
The equation is 3log2 + log 8 = 2 log(4x)
log 8+ log 8= log 16x²
log64/log 16=x²
4=x²
Take square root on both sides
x=2
Hence, the true solution to the equation 3log2 + log 8 = 2 log(4x) is x=2, Option B is correct.
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Pls help me hurry thanks you
Solve the right triangle below. Round all your answers to the nearest tenth. Measure of angle Z = ______
Answer:
[tex]Measure \: of \: angle \: z = \boxed{ \tt{ 19.5\degree}}[/tex]
helpppppppppppppppppppppppppppppppppppppp
Answer:
Area of a rectangle = l × w
= 1.4 × 2.1
= 2.94 meters ^2
hope it helps. sorry if its wrong. this is my own knowledge
Plz I need this question quick! I don't understand it.
Find the area of the figure.
A sphere has a volume of 36(pi) in^3. What is the surface area in terms of Pi
Answer:
la verdad que depende de la situación
ASAP PLEASE HELP I will give brainliest
can someone help me please
Answer:
C'(-3, -3)
D'(-2, 1)
E'(-1, 0)
F'(2, -2)
Step-by-step explanation:
Add 2 to the x coordinates and subtract 2 from the y coordinates.
C'(-5+2, -1-2)
D'(-4+2, 3-2)
E'(-3+2, 2-2)
F'(-2+2, 0-2)
C'(-3,-3)
D'(-2,1)
E'(-1,0)
F'(2,-2)
Help me pls
Ms. Manalo is reviewing her 2018 property taxes.
Use the tax form to complete the statements below.
The total assessed value of Ms. Manalo's property was $5,00,000
The total property tax rate was 1.7%
Ms. Manalo paid a total of $8,500 to her local government as a property tax in 2018.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
Ms. Manalo is reviewing her 2018 property taxes.
Now, We get by given data;
The total assessed value of Ms. Manalo's property was,
⇒ $84,785 + $415,215
⇒ $5,00,000
And, The total property tax rate was ,
0.8% + 0.5% + 0.2% + 0.1% + 0.1%
1.7%
And, Ms. Manalo paid a total to her local government as a property tax in 2018 is,
1.7% of 5,00,000
1.7/100 x 5,00,000
8,500
So, The total assessed value of Ms. Manalo's property was $5,00,000
The total property tax rate was 1.7%
Ms. Manalo paid a total of $8,500 to her local government as a property tax in 2018.
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Find the missing side length of the right triangle below.
26 cm
10 cm
b
Answer:
24
Step-by-step explanation:
we'll use the pythagoras theorm, but change it a little
instead of a² + b² = c², we'll use c² - a² = b²
26² - 10² = 576
the square root of 576 is 24, and that's the answer :)
Private colleges and universities rely on money contributed by individuals and corporations for their operating expenses. Much of this money is put into a fund called an endowment, and the college spends only the interest earned by the fund. A recent survey of 8 private colleges in the United States revealed the following endowments (in millions of dollars): 60.2, 47.0, 235.1, 490.0, 122.6, 177.5, 95.4, and 220.0. What value will be used as the point estimate for the mean endowment of all private colleges in the United States?
Answer:
The value will be used as the point estimate for the mean endowment of all private colleges in the United States is of 180.975 millions of dollars.
Step-by-step explanation:
When we have a sample, the mean of the sample is used as the point estimate for the mean of the entire population.
What value will be used as the point estimate for the mean endowment of all private colleges in the United States?
We have to find the mean of the 8 colleges. So
[tex]M = \frac{60.2 + 47.0 + 235.1 + 490.0 + 122.6 + 177.5 + 95.4 + 220.0}{8} = 180.975[/tex]
The value will be used as the point estimate for the mean endowment of all private colleges in the United States is of 180.975 millions of dollars.
Are (3, 1) (4, 1) and (5, 1) all equivalent ratios
Pls help
Find the surface area of the composite figure.
Answer:
644 cm³
Step-by-step explanation:
Surface area of the composite figure = (surface area of the upper cuboid - base area of upper cuboid) + (surface area of the lower cuboid - base area of the upper cuboid)
✔️Surface area of upper cuboid = 2(LW + LH + WH)
L = 3
W = 3
H = 8
Surface area of upper cuboid = 2(3*3 + 3*8 + 3*8) = 2(9 + 24 + 24) = 114 cm²
✔️Surface area of Surface area of lower cuboid = 2(LW + LH + WH)
L = 12
W = 10
H = 7
Surface area of lower cuboid = 2(12*10 + 12*7 + 10*7) = 2(120 + 84 + 70) = 548 cm²
✔️Base area of upper cuboid = L*W
L = 3
W = 3
Base area = 3*3 = 9 cm²
✅Surface area of the composite figure = (114 - 9) + (548 - 9) = 105 + 539 = 644 cm³
Construct isosceles triangle ABC such that AB = AC = 10 cm and CB = 9 cm. Measure and write down the size of angle ABC.
Answer:
∠ABC = 63.26°
Step-by-step explanation:
cos ∠ABC = (9/2)/10
cos ∠ABC = 0.45
∠ABC = 63.26°
Find the area of an equilateral triangle with a side of 10.
a
Yoo can somebody help me?
On each triangle, solve both of them and round to the nearest tenth. Make sure to show your work for both. Thank you in advance.
Answer:
Step-by-step explanation:
Triangle 1 given: 100° , 17 yds, 30 yds
Triangle 2 given: 30 ,17,18
law of cosines: c^2 = a^2 + b^2 − 2ab cos(C)
we'll also need the formula for a SSS triangle
Cos(C) = a^2 + b^2 - c^2 / 2ab
keeping the above in mind we can now solve both triangles
c = AC for the first triangle
solve law of cosines for what we know
c^2= 17^2 + 30^2 - 2*17*30*Cos(100)
c = 36.96
now use SSS triangle formula to find the angle C, but c = 17 now , not 36.96, that's b
C = arcCos(17^2+36.96^2-30^2/ 2*17*36.96)
C = 42.24°
now use 180 = 100 +42.24 +A to solve the last angle
A= 37.75°
Triangle 1 solved
A= 37.75°
B= 100
C = 42.24°
a= 17
b=30
c=36.96
Triangle 2
given a=17 , b= 18 , c =30
use SSS formula to find one angle, which ever one you want in this case
Cos(C) = a^2 + b^2 - c^2 / 2ab
C = arcCos(17^2+18^2-30^2 / 2*17*18
C= 117.966°
solve for A now
Cos(A) =b^2+c^2-a^2 / 2bc
A = arcCos(18^2+30^2-17^2/2*18*30)
A = 30.03
use 180 again to solve for last angle
180 = 117.966+30.03+B
32.001 = B
Triangle 2 solved
A = 30.03°
B= 32.001°
C= 117.966°
a=17
b=18
c=30
:P whew