which choice correctly expresses the number below in scientific notation?
0.000611
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
6.11/104
acob has golf scores of 120, 112, 130, 128, and 124. He wants to have a mean, or average, golf score of 118. What score does he need in his next golf game to achieve this mean score?
needed in next golf game
Answer:
12011213012812411854257
you sailed 0.032 units to the left and found treasure at 0.248 units find where the ship started
What is the hourly difference in median income for a male versus female with an associate’s degree, occupational program?
Consumers math B
Answer:
median income for the man with advanced degree
Step-by-step explanation:
What is the hourly difference in median income for a male versus female with an associate’s degree, occupational program?
At 5 P.M., the total snowfall is 3 centimeters. At 11 P.M., the total snowfall is 14 centimeters. What is the mean hourly snowfall? Write your answer in simplest form as a fraction or mixed number.
Help me out
Answer:
1 hour and 30min
Step-by-step explanation:
11-5=6 then divide 6 to 5 and you get 1.2 which is 1 hour and 30min
2.5 cm of snow fall on average each hour.
What is average?
The average formula is also known as the arithmetic mean, which is the ratio of the sum of all given observations to the total number of observations. Thus, using the average formula, the arithmetic mean for any sample of data can be calculated.
The average formula for a given set of data or observations can be expressed as:
Average Formula:
Average = (Sum of Observations) ÷ (Total Numbers of Observations)
Given:
The number of millimeters that fell throughout the course of the period divided by the number of hours is the mean hourly snowfall.
At 5:00 PM,
There are 4 hours from 6 PM to 9 PM.
So, there is 2 millimeters of snowfall as of 5 p.m.
and, 12 millimeters of snowfall as of 9 p.m.
Then, the accumulation of snow rises by
=12-2
= 10 cm in those four hours.
Thus, on an average the snow fall at rate
= 10/4
= 2.5
Hence, 2.5 cm of snow fall on average each hour.
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please answer: Use the information to answer the following questions. The angle measures of a triangle are shown. Angle A: (5x – 5) degrees Angle B: (3x + 3) degrees Angle C: (5x) degrees What expression can be written to represent the sum of the angle measures?
Answer:
13
Step-by-step explanation:
Consider the following triangle.
a = 6.0, b = 7.7, c = 13.6
Determine whether the Law of Sines or the Law of Cosines is needed to solve the triangle.
O Law of Sines
O Law of Cosines
Solve (if possible) the triangle. If two solutions exist, find both. Round your answers to two decimal pl
A =
B =
C =
Need Help?
0
O
O
Read It
To determine whether the Law of Sines or the Law of Cosines is needed to solve the triangle, we can compare the given information with the formulas for each law.
The Law of Sines states:
a / sin(A) = b / sin(B) = c / sin(C)
The Law of Cosines states:
c^2 = a^2 + b^2 - 2ab * cos(C)
In this case, we are given the lengths of all three sides of the triangle (a = 6.0, b = 7.7, c = 13.6). Therefore, we have enough information to use the Law of Cosines to solve the triangle.
Using the Law of Cosines, we can find the measures of the angles:
c^2 = a^2 + b^2 - 2ab * cos(C)
(13.6)^2 = (6.0)^2 + (7.7)^2 - 2 * 6.0 * 7.7 * cos(C)
184.96 = 36 + 59.29 - 92.4 * cos(C)
184.96 = 95.29 - 92.4 * cos(C)
92.67 = -92.4 * cos(C)
cos(C) ≈ -1
Since the cosine of an angle cannot be greater than 1 or less than -1, it is not possible for the given triangle to have an angle with a cosine of -1. Therefore, the triangle is not solvable with the given side lengths.
In this case, the Law of Cosines is needed, but the triangle cannot be solved with the given information.
14. What is the equation of a circle with a center at (4,−9) and a radius of 5?
A) (x+4)^2+(y−9)^2=5
B) (x+4)^2+(y−9)^2=25
C) (x−4)^2+(y+9)^2=25
The equation of a circle with a center at (4,−9) and a radius of 5 is
(x−4)^2+(y+9)^2=25. The correct Option C.
How to find equation of a circle?A circle is a set of all points which are equally spaced from a fixed point in a plane. The fixed point is called the center of the circle. The distance between the center and any point on the circumference is called the radius of the circle.
The equation of a circle with center (h, k) and radius r units is
(x−h)^2+(y−k)^2=r^2 .
where h = 4
k = -9
r = 5
The equation of the circle
(x−4)^2+(y−(-9))^2 = 5^2
The equation of the circle
(x−4)^2+(y+9)^2 = 25
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what is the prescribed dosage of a certain medicine for a 6 year old child if the adult dosage of the medicine is 180 milligrams?
Answer: C= 60 milligrams
Step-by-step explanation:
apply the formula
C = Divide[a,\(40)a+2\(41)]A
A video rental store keeps a list of their top 15 movie rentals each week. This week the list includes 6 action, 4 comedies, 3 dramas, and 2 mysteries. The store manager removes a copy of each of the 15 movies from the shelf, then randomly selects 3 of the 15 to show on the display monitors in the store. What is the probability that she selected 2 comedies and 1 action movie?
Answer:
32/1125Step-by-step explanation:
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome of event/Total outcome.
If a video rental store keeps a list of their top 15 movie rentals each week, the total outcome is 15.
If the list for the week includes 6 action, 4 comedies, 3 dramas, and 2 mysteries and the store manager removes a copy of each of the 15 movies from the shelf, then randomly selects 3 of the 15 to show on the display monitors in the store, the probability that she selected 2 comedies and 1 action movie will be calculated as shown;
Probability of selecting 2 comedies = 4/15*4/15 = 16/225 (Note that the expected outcome in this case is 4).
Probability of selecting 1 action movie = 6/15 = 2/5
Hence, the probability that she selected 2 comedies and 1 action movie will be equivalent to 16/225*2/5 = 32/1125
Note that the rented movies will have to be returned hence reason for the replacement.
What is the rate of change of the function?
Answer:
rate of change = 3
Step-by-step explanation:
to find the rate of change \(\frac{y1 - y2}{x1 - x2}\)
(0,-4) (1,-1)
\(\frac{-4+1}{0-1}\) = \(\frac{-3}{-1}\) = 3
Answer:
3
Step-by-step explanation:
Hey guys, I really need help with this question!Please no links, or I will report! Dont answer if you dont know please!
Define associative property
Answer:
the way in which factors are grouped in a multiplication problem does not change the product.
Step-by-step explanation:
A right cylinder has a base area of 16pi square inches and a height of 8 inches. which shape has the same volume as the right cylinder? select all that apply.
please help me!!!!!!!
Answer:
64π^2 cubic inches
Step-by-step explanation:
The question is not complete, the shapes are not given
Diameter of base= 16π
Radius of base= 8π
Height of cylinder = 8 inches
Let us find the volume of the cylinder
V= πr^2h
V= π* (8π)* 8
V= 64π^2 cubic inches
Hence the volume of the cylinder is 64π^2 cubic inches
find the squre of 17
\( \sqrt{17} \)
A nine-month old baby drank an average of 7 1/4 oz during each of four feedings. If the baby drank 7 1/2oz, 7 3/8oz, & 6 3/8oz in the first three feedings, how many ounces were taken during the fourth feeding?
A) 7 3/8
B) 6 3/8
C) 6 3/4
D) 7 3/4
Show work please
Answer: D) 7 3/4
Step-by-step explanation:
With averages, we add all the values and divide by the number of values. Here, we know three out of the four days, let's label the day we don't know x. There are four days, so we can divide by four. 7 1/4 is the average, so we can set the equation equal to 7 1/4.
7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x) / 4
Let's multiply both sides by 4 to get rid of the fraction. Let's also add what is in the parentheses
29 = 21 1/4 + x
Now we can isolate x by subtracting 29-21 1/4
so
x = 7 3/4 thus the answer is D
Answer:
D) 7 3/4
Step-by-step explanation:
Let x = amount of last feeding.
7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x)/4
4 × 7 1/4 = 7 1/2 + 7 3/8 + 6 3/8 + x
28 + 1 = 7 4/8 + 7 3/8 + 6 3/8 + x
29 = 20 10/8 + x
(20 10/8 is the same as 20 + 10/8 = 20 + 8/8 + 2/8 = 20 + 1 + 1/4 = 21 + 1/4 = 21 1/4)
29 = 21 2/8 + x
29 = 21 1/4 + x
x = 29 - 21 1/4
x = 28 4/4 - 21 1/4
x = 7 3/4
Answer: 7 3/4
Butler Trucking Company has developed a regression equation to predict the delivery time for its drivers (y). The model is based on the miles traveled (x 1), the number of deliveries (x 2) and whether or not the travel will occur during rush hours (x 3 - 1 if during rush hour and 0 if not during rush hour). The regression equation that they use is y
Answer:
The answer is Y = 6.3973.
Note: Kindly find an attached document of the complete question to this solution
Sources: The complete question was researched from Quizlet site.
Step-by-step explanation:
Solution
Given that:
The regression equation is given below:
Y = - 0.3302 + 0.0672 x₁ + 0.6735 x₂ + 0.9980 x₃
Now,
When x₂ = 5, x₁ = 50, x₃ = 0
Y = - 0.3302 + 0.0672 * 50 +0.6735 * 5
Y= - 0.3302 + 3.36 + 3.3675
Y = 6.3973
Therefore the time (hour) it will take for the driver to make five deliveries on a 50 mile journey not during rush hour is 6.3973.
A chemistry teacher needs to mix a 30% salt solution with a 60% salt solution to make 15 qt of a 40% salt solution. How many quarts of each solution should the teacher mix to get the desired result?
The amount of 30% salt solution is 10 and the amount of salt solution with 60% is 5 quartz.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
A chemistry teacher needs to mix a 30% salt solution with a 60% salt solution to make 15 qt of a 40% salt solution.
Let x be the amount of 30% salt solution
We can frame a linear equation based on the data given:
30x + 60(15 - x) = 40(15)
After solving the above linear equation::
30x + 900 - 60x = 600
-30x = -300
x = 10
The amount of 30% salt solution is 10
The amount of salt solution with 60% is 15 - x
= 15 - 10
= 5
Thus, the amount of 30% salt solution is 10 and the amount of salt solution with 60% is 5 quartz.
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Compare the quantities in Column A and Column B Column A Column B The solutions of
Given data:
The given inequality in the column A is 4x-30≥ -3x+12.
The given inequality in the column B is 1/2 x +3 < -2x-6.
The first inequality can be written as,
\(\begin{gathered} 4x-30\text{ }\ge\text{ -3x+12} \\ 7x\ge42 \\ x\ge6 \end{gathered}\)The second inequality can be written as,
\(\begin{gathered} \frac{1}{2}x+3<-2x-6 \\ \frac{1}{2}x+2x<-9 \\ \frac{5}{2}x<-9 \\ x<-3.6 \end{gathered}\)Thus, the quantity in the column A is always greater, so first option is correct.
B=(3,5,6,9) and C=(2,4,6,8) Find (A). A/B (B). B/C C. A/C (D). C/A
Answer:
The question isn't clear. Can you provide more information or context? What is A? Is it a set or a number? Without this information, I can't provide a meaningful answer.
I’m very confused on this problem and need some clarity
SOLUTION
Given the question in the image, the following are the solution steps to answer the question
STEP 1: Write the formula for finding the perimeter of a triangle
\(\begin{gathered} \text{Perimeter of a triangle is the sum of all the sides of the triangle} \\ \text{That is: }a+b+c_{} \\ \text{where a,b and c are the sides} \end{gathered}\)STEP 2: Write the given sides
\(\begin{gathered} \text{Let a=7.3}cm \\ \text{Let b=2.94}cm \\ \text{Let c=unknown}=x \\ \text{Perimeter}=14.8cm \end{gathered}\)STEP 3: Substitute the values into the formula
\(\begin{gathered} \text{Perimer}=a+b+c_{} \\ 14.8=7.3+2.94+x---equation\text{ 1} \\ By\text{ subtracting x from both sides} \\ 14.8-x=7.3+2.94+x-x \\ 14.8-x=7.3+2.94----\text{equation 2} \\ U\sin g\text{ equation 1 again,} \\ 14.8=7.3+2.94+x \\ 14.8=10.24+x \\ 14.8=x+10.24-----equation\text{ 3} \end{gathered}\)STEP 4: Choose the equation that could not be used to find the third side
The equation in option B can be seen in equation 1 in Step 3
The equation in option C can be seen in equation 3 in Step 3
The equation in option D can be seen in equation 2 in Step 3
Hence, the equation that could not be used to find the third side is the equation in option A
x - 14.8 = 2.94 + 7.3
What is the equation of the parabola with focus (4, 1) and directrix y = 2?
After answering the given query, we can state that the parabola equation expands upwards, and the apex is (4, 4.5).
What is equation?Using the equals sign (=) to indicate equivalence, a math equation links two statements. Algebraic equations prove the equality of two mathematical formulas through a mathematical assertion. The equal symbol, for example, puts a space between the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. You can use a mathematical formula to understand the connection between the two lines that are printed on opposite sides of a letter. Most of the time, the emblem and the particular program match. e.g., 2x - 4 = 2 is an example.
P equals 1/2, meaning that the distance between the apex and the focus is equal to the distance between the directrix and the focus.
As a result, the parabola's equation is:
\((x - 4)^2 = 4(1/2)(y - 1.5)\\(x - 4)^2 = 2(y - 1.5)\)
The left half of the equation is expanded as follows: x2 - 8x + 16 = 2(y - \(1.5) x2 - 8x + 13 = 2y\\y = (1/2)x^2 - 4x + 13/2\)
The problem can also be expressed in vertex form by filling in the cube as follows:
\((x - 4)^2 = 2(y - 1.5)\\(x - 4)^2 = 2(y - 1.5) + 6\\(x - 4)^2 = 2(y - 4.5)\\(x - 4)^2/8 = (y - 4.5)\\\)
Therefore, the parabola expands upwards, and the apex is (4, 4.5).
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Solve the equation log(base 2)(x) + log(base 4)(x+1) = 3.
We can use the logarithmic identity log_a(b) + log_a(c) = log_a(bc) to simplify the left side of the equation:
log_2(x) + log_4(x+1) = log_2(x) + log_2((x+1)^(1/2))
Using the rule log_a(b^c) = c*log_a(b), we can simplify further:
log_2(x) + log_2((x+1)^(1/2)) = log_2(x(x+1)^(1/2))
Now we can rewrite the equation as:
log_2(x(x+1)^(1/2)) = 3
Using the rule log_a(b^c) = c*log_a(b), we can rewrite this as:
x(x+1)^(1/2) = 2^3
Squaring both sides, we get:
x^2 + x - 8 = 0
This is a quadratic equation that can be solved using the quadratic formula:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
where a = 1, b = 1, and c = -8. Plugging in these values, we get:
x = (-1 ± sqrt(1^2 - 4(1)(-8))) / 2(1)
x = (-1 ± sqrt(33)) / 2
x ≈ -2.54 or x ≈ 3.54
However, we must check our solutions to make sure they are valid. Plugging in x = -2.54 to the original equation results in an invalid logarithm, so this solution is extraneous. Plugging in x = 3.54 yields:
log_2(3.54) + log_4(4.54) = 3
0.847 + 0.847 = 3
So x = 3.54 is the valid solution to the equation.
what are the answers? thank you.
Answer:
176.78cm squared,23.57cm,Step-by-step explanation:
inorder to solve the area of the shaded area;°/360ñRsquared
arc length you use ;°/360ñD
What effects did the introduction of the nutria have on ecosystems throughout the U. S.? Nutria, in fact, do feed on noxious weeds. Nutria feed on native plants that hold wetland soil together. The largest nutria populations are located in freshwater rocky coastal areas of New England. Another name we could give to nutria would be invasive species. Nutria's digging, rooting, and swimming causes massive erosion, converting healthy marsh habitat for native species into open water habitat. The nutria’s relatively low reproductive rate help keep their numbers in check.
Answer:
Step-by-step explanation:
1. Nutria, in fact, do feed on noxious weeds.
2. Nutria feed on native plants that hold wetland soil together.
3. The largest nutria populations are located in freshwater rocky coastal areas of New England.
4. Another name we could give to nutria would be invasive species.
5. Nutria's digging, rooting, and swimming causes massive erosion, converting healthy marsh habitat for native species into open water habitat.
6. The nutria’s relatively low reproductive rate help keep their numbers in check.
The answer for this is 1, 2 and 4, 5
This is USAtest prep
Nutria have these effects on ecosystems in U. S:
Nutria, in fact, do feed.. Nutria feed on native plants... Another name... Nutria's digging...What is ecosystem?An ecosystem serves as an area in a particular place that contains plants as well as animals and weather.
Therefore, with the introduction of Nuria in U.S there is abundant of it in wetlands and we can consider them as invasive species.
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Sasha has many soccer fields to mow. She spent 7 hour mowing 11 soccer fields. Find the unit rate of hours per soccer field to find out how long it takes Sasha to mow each soccer field.
Answer:
it would take approximately 38ish minutes. He takes 38 minutes a field
Step-by-step explanation:
Question 2 of 15 Greece is different from most other countries in southern Europe because: A. its land has never been conquered by foreign empires. B. its most popular religion is not Catholicism. C. its culture has not spread to other regions. D. its population is mostly located in rural areas.
Greece is different from most other countries in southern Europe because its most popular religion is not Catholicism. Option B
What is Catholicism?Catholicism refers to the traditions, beliefs, and behaviors of the Catholic Church
Greece is predominantly an Orthodox Christian country, whereas most other countries in southern Europe, such as Italy, Spain, and Portugal, are predominantly Catholic.
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Can anyone please help?
Q: A baseball is hit into the air by the Blue Jays' batting coach.
It's height h, in meters, after t seconds is h = - 4.9t² + 27.44t + 0.584
(a) write the equation in vertex form by completing the square
b) How high off the ground was the ball when it was hit?
c) When does the ball reach it's maximum height? what is it's maximum height?
d) For how long is the ball in the air ? Round answer to 1 decimal place
The ball is in the air for approximately 2.8 + √7 seconds, which rounds to 5.2 seconds when rounded to one decimal place.To write the equation in vertex form, we need to complete the square.
The given equation is h = -4.9t² + 27.44t + 0.584. We can rewrite it as:
h = -4.9(t² - 5.6t) + 0.584
Now, we want to complete the square inside the parentheses. To do this, we need to add and subtract the square of half the coefficient of t. In this case, the coefficient is -5.6, so we have:
h = -4.9(t² - 5.6t + (5.6/2)² - (5.6/2)²) + 0.584
Simplifying, we get:
h = -4.9((t - 2.8)² - 2.8²) + 0.584
Expanding further:
h = -4.9(t - 2.8)² + 4.9(2.8)² + 0.584
Thus, the equation in vertex form is: h = -4.9(t - 2.8)² + 34.328
b) The ball's height when it was hit can be found by evaluating the equation at t = 0:
h = -4.9(0 - 2.8)² + 34.328
h = -4.9(-2.8)² + 4.328
h = -4.9(7.84) + 34.328
h ≈ 0.784 meters
To find the time at which the ball reaches its maximum height, we can use the fact that the maximum height occurs at the vertex of the parabolic equation. The vertex of a parabola in the form h = a(t - h₀)² + k is given by (h₀, k). Comparing this to our equation, we can see that the vertex occurs at t = 2.8 and h = 34.328. Therefore, the ball reaches its maximum height at 2.8 seconds, and the maximum height is 34.328 meters.
The total time the ball is in the air can be determined by finding the time it takes for the ball to reach the ground. When the ball hits the ground, its height is 0. To find this time, we can set the equation equal to 0 and solve for t:
0 = -4.9(t - 2.8)² + 34.328
4.9(t - 2.8)² = 34.328
(t - 2.8)² ≈ 7
t - 2.8 ≈ ±√7
t ≈ 2.8 ± √7
Since time cannot be negative in this context, we can ignore the negative value.
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which expression is equivalent to -3x(2x-8)+4x
Answer:
2x ( -3x + 14)
Step-by-step explanation:
What is Distribution Property?
Distribution property is used in a format like a ( b + c ). To simplify these kinds of expressions, we multiply the outside term by each of the inside terms. So in this instance, a ( b + c ) is equal to ab + ac.
Let's put this in the expression3x ( 2x - 8 ) + 4x
Let's use what we learned above, and multiply the outside term (-3x) by each of the inside terms.
-3x · 2x + (-3x) · (-8) +4x
Simplify by multiplication:
-6x² + 24x +4x
Finally, we add:
-6x² +28x
Now, to simplify further, we can look for terms that show up in numbers.
We can see that the variable x is present in each of the terms, so we can factor that out, removing it from the term as follows:
x ( -6x + 28)
We can look and see that 2 is also a common factor between the two terms, so we can take that out too.
2x ( -3x + 14)
This is the most simplified it can get.
Which type of function best models the data in the
table?
Sound Waves
Wavelength, *
© linear
exponential
o quadratic
inverse variation
Frequenc
(waves
680
0.5
1
340
227
15
DONE
2
170
25
136
Answer:
inverse variation
Step-by-step explanation: