Answer:
The actual area of the field in square kilometers is [tex]30000000 km^2[/tex]
Step-by-step explanation:
Scale : 1 cm = 50000 km
Area of field on map = [tex]1.2 cm^2[/tex]
Now , 1 cm = 5000 km
[tex]1 cm^2 = (5000 km)^2[/tex]
We are supposed to find the actual area of the field in square kilometers.
So, the actual area of the field in sq. km =[tex]1.2 \times (5000)^2[/tex]
Actual area of the field in sq. km [tex]=30000000 km^2[/tex]
Hence the actual area of the field in square kilometers is [tex]30000000 km^2[/tex]
(6.2x10^17)+(1.2x10^15)
Answer:
621200000000000000
Step-by-step explanation:
(6.2×10^17 )+(1.2×10^15)
6.2×100000000000000000+1.2×10^15 ≈6.212⋅10^ 1 7
620000000000000000+1.2×10^15 ≈6.212⋅10^ 1 7
620000000000000000+1.2×1000000000000000≈6.212⋅10^ 1 7
620000000000000000+1200000000000000≈6.212⋅10^1 7
621200000000000000
Answer:
6.212×10^17
Step-by-step explanation:
[tex] = ( 6.2 \times {10}^{17} ) + (1.2 \times {10}^{15} )[/tex]
[tex] = (620 \times {10}^{15}) + (1.2 \times {10}^{15} )[/tex]
[tex] = 620 \times {10}^{15} + 1.2 \times {10}^{15} [/tex]
[tex] = (620 + 1.2)\times {10}^{15} [/tex]
[tex] = 621.2\times {10}^{15} [/tex]
[tex] = 6.212 \times {10}^{17} [/tex]
I hope it helped u :)
18
8
13
7
Find the area of the white granite area in the picture above.
Answer: 178
Step-by-step explanation:
18x13
234 area of white granite
8x7
56 area of blue granite
234-56 to find the area of the white granite
(2fg)7 simplify the expression
Answer:
14 f g
Step-by-step explanation:
Multiply 7 by 2 .
Looking around in your own country, discuss two practical applications in which “piecewise functions” are used either explicitly or implicitly
Answer:
Piecewise functions are functions that behave differently in different regions of the domain.
One example that you may see in your city is the case of the street illumination, such that can be modeled as:
x = time
Suppose that the lights are turned on at a given hour x0 and then turn off at the hour x1, we can define:
f(x) = 0 if x1 < x < x0
f(x) = 1 if x0 ≤ x ≤ x1
Where f(x) represents the intensity of the light at the time x.
Between x1 and x0, the lights are not working, so the illumination that they provide is zero.
Between x0 and x1 the lights are turned on, so the illumination is 1.
Another example can be the accurate description of the velocity of a car as a function of time.
For some pieces, the car will be stopped (maybe in a red light)
For some pieces, the car will be moving slow (maybe there is a lot of traffic)
For some pieces, the car will be moving fast or accelerating (in an empty street).
So we can define this motion as a piecewise function that obviously will depend on how the car moves.
Rosanne makes 1 1/2 liters of strawberry lemonade. She pours 1/4 of a liter of lemonade into a thermos to take to the park. Her brother drinks 2/5 of the remaining lemonade. How much lemonade does rosanne’s brother drink?
Answer:
1/2 liters
Step-by-step explanation:
Rosanne makes 1 1/2 liters of strawberry lemonade
She pours 1/4 of the lemonade into a thermos
The quantity left is
= 1 1/2 - 1/4
= 3/2 - 1/4
= 5/4
Her brother drinks 2/5 of the remaining lemonade
Therefore the quantity of lemonade that Rosanne brother drinks can be calculated as follows
= 2/5 × 5/4
=1/2
Hence the quantity of lemonade that Rosanne brother drinks is 1/2 liters
Answer:
1/2 liters
Step-by-step explanation: Rosanne makes 1 1/2 liters of strawberry lemonade
She pours 1/4 of the lemonade into a thermos
The quantity left is
= 1 1/2 - 1/4
= 3/2 - 1/4
= 5/4
Her brother drinks 2/5 of the remaining lemonade
Therefore the quantity of lemonade that Rosanne brother drinks can be calculated as follows
= 2/5 × 5/4
=1/2
What is the equation of the line that passes through the point (4,0) and has a slope of 5/4
Answer:
The answer is y=5/4x-5
Step-by-step explanation:
The required equation of the line that goes through the point (4, 0) and has a slope of 5/4 is y = 5/4x - 5.
What is the intercept in the equation?In the equation intercept is the value of the linear function where either of the variables is zero.
The equation of a line with slope m and passing through the point (x₁, y₁) can be found using the point-slope formula:
y - y₁ = m (x - x₁)
Plugging in m = 5/4, x₁ = 4, and y₁ = 0, we get:
y - (0) = 5/4 (x - (4))
Simplifying, we get:
y = 5/4x - 5
Thus, the equation of the line is y = 5/4x - 5
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Write as the sum and/or difference of logarithms. Express powers as factors \log _4\left(\sqrt{\frac{mn}{19}}\right). g
Answer:
[tex]f = \log_{4}\left(\sqrt{\frac{m\cdot n}{19}}\right)[/tex] is equivalent to [tex]f = 0.5\cdot \log_{4} m + 0.5\cdot \log_{4}n -0.5\cdot \log_{4}19[/tex].
Step-by-step explanation:
Let be [tex]f = \log_{4}\left(\sqrt{\frac{m\cdot n}{19}}\right)[/tex], we transform this into an equivalent expression with sums and differences of logarithms by applying logarithm properties:
1) [tex]\log_{4}\left(\sqrt{\frac{m\cdot n}{19}}\right)[/tex] Given.
2) [tex]\log_{4}\left[\left(\frac{m\cdot n}{19} \right)^{0.5}\right][/tex] Definition of square root.
3) [tex]0.5\cdot \log_{4}\left(\frac{m\cdot n}{19} \right)[/tex] [tex]\log_{a} b^{c} = c\cdot \log_{a} b[/tex]
4) [tex]0.5\cdot (\log_{4}m\cdot n -\log_{4} 19)[/tex] [tex]\log_{a} \frac{b}{c} = \log_{a} b - \log_{a} c[/tex]
5) [tex]0.5\cdot \log_{4} m\cdot n -0.5\cdot \log_{4} 19[/tex] Distributive property.
6) [tex]0.5\cdot (\log_{4}m + \log_{4}n)-0.5\cdot \log_{4}19[/tex] [tex]\log_{a} b\cdot c = \log_{a}b +\log_{a} c[/tex]
7) [tex]0.5\cdot \log_{4} m + 0.5\cdot \log_{4}n -0.5\cdot \log_{4}19[/tex] Distributive property/Result.
[tex]f = \log_{4}\left(\sqrt{\frac{m\cdot n}{19}}\right)[/tex] is equivalent to [tex]f = 0.5\cdot \log_{4} m + 0.5\cdot \log_{4}n -0.5\cdot \log_{4}19[/tex].
The owner of a small store buys coats for $55.00 each.He sells the coats for $66.00 each. What percent of the purchase price is the sale price?
Answer:
nnnnnnnnnnknbiibbs
Step-by-step explanation:
Suppose that X is a random variable with mean 20 and standard deviation 5. Also suppose that Y is a random variable with mean 40 and standard deviation 10. Assume that the correlation between X and Y is 0.5. Find the mean and variance of the random variable Z = ????3X ???? 2Y . Be sure to show all your work.
Answer:
a
[tex]E(Z) = 202 [/tex]
b
[tex]E(Z) = 198[/tex]
c
[tex]E(Z) = -140 [/tex]
Step-by-step explanation:
From the question we are told that
The mean of X is [tex] E(X) = 20[/tex]
The standard deviation of X is [tex]s_1 = 5[/tex]
The mean of Y is [tex]\= y = 40[/tex]
The standard deviation of Y is [tex]s_2 = 10[/tex]
Considering question a
Generally the mean of Z = 2 + 10X. is mathematically represented
[tex]E(Z) = E[2 + 10X ][/tex]
=> [tex]E(Z) = 2 + 10 E(X)[/tex]
=> [tex]E(Z) = 2 + 10 * 20 [/tex]
=> [tex]E(Z) = 202 [/tex]
Considering question b
Generally the mean of Z = 10X - 2.. is mathematically represented
[tex]E(Z) = E[10X -2 ][/tex]
=> [tex]E(Z) = 10E(X) - 2[/tex]
=> [tex]E(Z) = 10* 20 - 2[/tex]
=> [tex]E(Z) = 200 - 2[/tex]
=> [tex]E(Z) = 198[/tex]
Considering question c
Generally the mean of -3X - 2Y is mathematically represented
[tex]E(Z) = E[-3X -2Y ][/tex]
[tex]E(Z) = -3 E(X) -2E(Y) [/tex]
=> [tex]E(Z) = -3 * 20 -2* 40 [/tex]
=> [tex]E(Z) = -140 [/tex]
Using the equation y=(1/2)x, when x=0 what is the value y ?
Answer:
.
Step-by-step explanation:
Which is the better deal 8 ounces of shampoo for $0.99 or 12 ounces for $1.47?
Answer:
12 ounces for $1.47.
Step-by-step explanation:
:) ello
Joe can drive 194 miles in 4 hours. At the same
rate, how far can he drive in 6 hours.
Answer:
Lets take the miles for 6 hours to be x.
Using cross-multiplication, this problem can be solved.
194 4
x 6
1164 = 4x
x = 291
Therefore, Joe drives 291 miles in 6 hours.
The diameter of a hydrogen atom is about 1.04 cross times 10 to the power of negative 10 end exponent meters. A protein molecule has an overall length of 2000 times (or 2 cross times 10 cubed times) the diameter of a hydrogen atom. What is the length of the protein molecule, in meters, if it were written in scientific notation?
The length of the protein molecule, written in scientific notation, is approximately 2.08 × 10⁻⁷ meters.
Given that a hydrogen atom has about 1.04 × 10⁻¹⁰ meters diameter, whereas a protein molecule has an overall length of 2 × 10³ times the diameter of a hydrogen atom.
We need to find the length of the protein molecule, in meters and in scientific notation.
We must multiply the diameter of a hydrogen atom by the specified factor (2 × 10³), in order to determine the length of the protein molecule in meters.
Let's compute the amount:
Length of protein molecule = Diameter of a hydrogen atom × 2 × 10³
Diameter of a hydrogen atom = 1.04 × 10⁻¹⁰ meters
Length of protein molecule = 1.04 × 10⁻¹⁰ meters × 2 × 10³
To multiply numbers in scientific notation, we add the exponents and multiply the coefficients:
Length of protein molecule = 2.08 × 10⁻⁷ meters
So, the length of the protein molecule, written in scientific notation, is approximately 2.08 × 10⁻⁷ meters.
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The length of the protein molecule, in meters and written in scientific notation, is approximately 2.08 × 10^(-7) meters.
To calculate the length of the protein molecule in meters, we'll start with the given diameter of a hydrogen atom and multiply it by the scaling factor of 2000. Let's perform the calculations:
Diameter of a hydrogen atom = 1.04 × 10^(-10) meters
Length of the protein molecule = 2000 × (Diameter of a hydrogen atom)
Multiplying the diameter by the scaling factor:
Length of the protein molecule = 2000 × (1.04 × 10^(-10))
When multiplying numbers written in scientific notation, we can multiply the coefficients and add the exponents:
Length of the protein molecule = 2000 × 1.04 × 10^(-10)
Calculating the coefficient:
2000 × 1.04 = 2080
Calculating the exponent:
10^(-10)
Putting the coefficient and exponent together:
Length of the protein molecule = 2080 × 10^(-10)
Writing it in scientific notation:
Length of the protein molecule = 2.08 × 10^(-7)
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whats 2+2 will offer nothing
Answer:
4
Step-by-step explanation:
is this relation a function justify your answer
Answer:
D
Step-by-step explanation:
because two points on the x value shouldn't have more that one y value
compare the price per dozen eggs at the local grocery store and at the supermarket Edward bought 8 dozen eggs in the supermarket how much did he save by buying eggs at the supermarket instead of the local store
Answer:
8
Step-by-step explanation:
i'm a 12 year old girl and i get it so you have to think about the local store would be half witch would be 4 so the answer is 8After 5.5 hours, Allie had traveled 264 miles. If she travels at a constant speed, how far will she have traveled in 6 hours?
Answer:
288 Miles
Step-by-step explanation:
Solve for x (speed)
5.5x = 264
Divide by 5.5
x = 48
y = 48x
Subsitute 6 hours in for x
y = 48(6)
y = 288
Answer: Allie went 288 miles in 6 hours.
Step-by-step explanation:
First, you must find out how many miles Allie travled in one hour
= 264/5.5
= 48
Next, multiply the quotient by the number of hours to get the answer.
= 48 x 6
= 288
Kerry takes up a delivery consignment. He delivers a few packages and one-fourth of
the packages remains in the truck. This excludes 5 packages that were returned. If
the truck contains 65 packages now, how many packages were there in Kerry's
original consignment?
Answer:
multiply 65 by 5 and divide by 1 fourth
Step-by-step explanation:
Explain how to find 5 - 7 by using counters . (Show your work)
Answer:
-3
Step-by-step explanation:
We have to find the difference:
We start with 5 yellow counters
Since we have to subtract more yellow counters than we have (5 instead of 8), we add 3 zero-pairs:
We subtract the 8 yellow counters:
We are left with 3 red counters, which means the result is -3
Solve for x: x + 4 = 10 *
Your answer
Answer:
6
Step-by-step explanation:
A way to answer these questions like I usually do is to subtract the result by the number you already know, like this; 10-4=6, so 6 would be what X equals, or you can just take the long way and keep guessing what the answer would be and keep doing the problems, but that would be very time consuming so I would recommend just doing the subtraction method!
Hope this helps!
Answer:
x = 6
Step-by-step explanation:
x + 4 = 10
=> x = 10 - 4
=> x = 6
Walter is helping to make cookies for a basketball tournament. He's made 15 cookies so far. His coach asked him to make at least 20 cookies but no more than 55. Solve the inequality and interpret the solution.
Answer:
[tex]5\leq x\leq 40[/tex]
Here, [tex]x[/tex] denotes the additional cookies that need to be made by Walter besides 15 cookies made by him so far
Step-by-step explanation:
Number of cookies made by Walter so far = 15
He is asked by his coach to make at least 20 cookies but no more than 55.
Let [tex]x[/tex] denotes the additional cookies that need to be made by Walter besides 15 cookies made by him so far.
The inequality is [tex]20\leq x+15\leq 55[/tex]
Now solve this inequality.
[tex]20\leq x+15\leq 55\\20-15\leq x\leq 55-15\\5\leq x\leq 40[/tex]
Answer: a
Step-by-step explanation: because its right
Millie Moo the cow can produce 14
gallons of milk in 3 days. How many gallons
of milk does Millie produce each day?
Round to the nearest hundredth if
necessary.
Find the elapsed time between 10:21 a.m. and 5:43 p.m.
6 hours, 4 minutes
7 hours, 22 minutes
5 hours, 22 minutes
16 hours, 4 minutes
Answer:
7 hours, 22 minutes
Step-by-step explanation:
17:00 (5:00) - 10:00 = 7 hours apart
43 - 21 = 22 minutes
Help me !!!
!!!
!!
!!
!!
Answer:
one hundred and sixty.Thank you ☺️
Answer:
One Hundred Sixty
Step-by-step explanation:
Which is a member of the solution set of -5 < x ≤ -1?
Answer:
-1
Step-by-step explanation:
Put these two numbers on a number line with the correct circles. Now choose from any of the between numbers.
Which expression is equivalent to Y.Y.Y.Z.Z.Z.Z?
O y 24
O 12xy
o (yz)
07xy
HURRYPLEASEEEE
Please help!
Are the expressions –0.5(3x + 5) and
–1.5x + 2.5 equivalent? Explain why or why not.
Answer:
We can check this two ways: distributing the -0.5, and plugging in a number for x.
First, we can check this by distributing the -0.5. Our equation becomes:
-1.5x -2.5 = -1.5x + 2.5
Clearly, this is not true. We can show this one more time by plugging in a number for x. I will use 2.
Now, we evaluate both sides and see if they are equal.
-3 - 2.5 = -3 + 2.5
-5.5 = 0.5
Clearly, this is not true. These expressions are not equivalent.
Step-by-step explanation:
Answer:
Step-by-step explanation: Using the distributive property to expand the first expression, you would get -1.5x - 2.5. Since the constant term does not have the same sign as the second expression, the two expressions are not equivalent. Also, if you substitute in a value for x and evaluate each expression, the values will not be equal.
Neve built the following graph to model the flight of a rocket from Earth to outer space. Which of the following domains is appropriate for the graph and the context?
A) All Positive Real Numbers and Zero
B) All Real Numbers
C) All Negative Real Numbers and Zero
D) 0 to 2
Answer:
A
Step-by-step explanation:
Because its the most reasonable answer
Answer:
wya
Step-by-step explanation:
The mayor of a town has proposed a plan for the annexation of a new bridge. A political study took a sample of 1100 voters in the town and found that 54% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is more than 50%. Determine the P-value of the test statistic. Round your answer to four decimal places.
Answer:
The p-value is [tex]p-value = 0.0039854[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 1100
The population proportion is p = 0.50
The sample proportion is [tex]\^ p = 0.54[/tex]
The null hypothesis is [tex]H_o : p = 0.50[/tex]
The alternative hypothesis is [tex]H_a : p > 0.50[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^ p - p }{ \sqrt{\frac{ p(1 - p)}{n} } }[/tex]
=> [tex]z = \frac{ 0.54 - 0.54 }{ \sqrt{\frac{ 0.50 (1 - 0.50)}{1100} } }[/tex]
=> [tex]z = 2.6533[/tex]
Generally from the z-table the probability of 2.6533 for a right tailed test is
[tex]p-value = 0.0039854[/tex]
Find the number of units x that produces the minimum average cost per unit C in the given equation. C = 0.001x3 + 5x + 250
Answer:
50 units
Step-by-step explanation:
Find the number of units x that produces the minimum average cost per unit C in the given equation.
C = 0.001x³ + 5x + 250
unit cost f(x) = C/x
= 0.001x³/x + 5x/x+ 250/x
f(x) = 0.001x² + 5 + 250/x
f'(x) = 0.002x - 250/x²
We equate the first derivative to zero
0.002x - 250/x² = 0
0.002x = 250/x²
Cross Multiply
0.002x × x² = 250
0.002x³ = 250
x³ = 250/0.002
x³ = 125000
x = 3√(125000)
x = 50 units
Therefore, the number of units x that produces the minimum average cost per unit C is 50 units.