(-6)⁵ = -7776
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Mrs. Thomas walks 3/4
of a mile every 1/3
of an hour. How far can she walk in an hour?
Answer:
dunno
Step-by-step explanation:
Answer:2.25
Step-by-step explanation:
3/4 is equal to 0.75 and 0.75*3=2.25
Solve the system of equations -7x+7y=8 -14x+14y=14
For the given system of equations there is no solution.
The given system of equations are -7x+7y=8 -----(i) and -14x+14y=14 -----(ii).
Multiply equation (i) by 2, we get
-14x+14y=16 -----(iii)
Subtract equation (ii) from equation (ii), we get
-14x+14y-(-14x+14y)=16-14
-14x+14y+14x-14y=2
0≠2
So, the is no solution
Therefore, for the given system of equations there is no solution.
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A formula used for calculating velocity is v = žar”.What is a expressed in terms of v and t?A. a=1 = 2B.a=2C. a=;D. a=Your answer
To answer this question, solve the given expression for calculating velocity for a, this way:
\(\begin{gathered} v=\frac{1}{2}at^2 \\ 2v=at^2 \\ \frac{2v}{t^2}=a \\ a=\frac{2v}{t^2} \end{gathered}\)The correct answer is B.
If there are 274 million adults in the country, how many believe that divorce is morally wrong?
The number of adults believes that the divorce is morally wrong is given by 54.8 million.
Given that the total number of adults in the country is = 274 million
Percentage of adults believe that the divorce is morally wrong is given by = 20 %
So the probability of adults believes that the divorce is morally wrong is given by = 20 / 100 = 1 / 5.
The number of adults believes that the divorce is morally wrong is given by
= (Number of total adults) * (Probability of adults believes that the divorce is morally wrong)
= 274 million * (1 / 5)
= 54.8 million
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The question is incomplete. The complete question will be -
"If there are 274 million adults in the country, and 20% believe that the action is morally wrong. How many believe that divorce is morally wrong?"
write a function that represents the arithmetic sequence. b. graph the function. c. estimate how many minutes after midnight January 1st it takes for 100 babies to be baby
We can write the arithmetic sequence as -
{2, 4, 6, 8, 10, 12, ....} and the graph of the function is attached.
What is function? What is expression?A function is a relationship between a dependent {y} and independent variable {x}.An expression is a combination of terms both constants and variables.Given is to write a function that represents the arithmetic sequence.
An arithmetic sequence is a sequence of the form -{a, a + d, a + 2d, a + 3d, .....}.
We can write the arithmetic sequence as -{2, 4, 6, 8, 10, 12, ....}.
We can write the nth term as : a{n} = 2 + 2(n - 1) = 2 + 2n - 2 = 2n.Refer to the graph of the function : a{n} = 2n.Therefore, we can write the arithmetic sequence as -
{2, 4, 6, 8, 10, 12, ....} and the graph of the function is attached.
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8 friends share 1/3 of a bag of chips. If they each get an equal share how much of the bag of chips does each friend get?
Answer:
0.04166666666
I think, im not sure
Step-by-step explanation:
1/3 divided 8 = 0.417 (rounded)
-2(-5-3n)+6n=37+3n ?
Answer:
2- sum the ratio
Step-by-step explanation:
What is the greatest value in the range of y=x²-7 for the domain {-2,0,1}?
Answer:
f(-2) = - 3 is the greatest value in the given range
-------------------------------
GivenFunction y = x² - 7,Domain x = {- 2, 0, 1 }.Find the value for each domain and comparef(-2) = (-2)² - 7 = 4 - 7 = - 3f(0) = 0² - 7 = 0 - 7 = - 7f(1) = 1² - 7 = 1 - 7 = - 6The greatest value of the function is - 3.
what are the domain and range of the following quadratic
Answer:
ranalllldooo
Step-by-step explanation:
suiiiiiii
Meg walks to school and work each day and wants to track how far she walks each day. In the morning, Meg walks 7 blocks due east to school. After school, she walks 2 blocks north and then 4 blocks west to reach work. She walks straight home from work. How far does she walk in all? Enter the correct number in the box. Round to the nearest tenth.
Answer:
I am pretty sure it is 19 blocks because it is 14 blocks before going back home. She needs to walk 3 blocks west and 2 blocks south. 14+3+2=19
Step-by-step explanation:
Frozen yogurt costs $0.52 per ounce. What is the cost of 8 ounces of frozen yogurt?
$
Answer:
$4.16
Step-by-step explanation:
To find out how much 8 ounces of frozen yogurt costs if each ounce costs $0.52, we can use an equation that looks like this:
0.52 × 8 = 4.16Therefore, for 8 ounces of yogurt is will cost $4.16.
Given the two concentric circles with center Q below,
OQ = 11.5. Find the area of the shaded region. Round
your answer to the nearest tenth if necessary.
Answer:
Step-by-step explanation:
area of a circle formula is πr²
Find area of the larger and smaller circles and then subtract to find the shaded region. π = 3.14
area of the larger circle = π (11.5)²
3.14 (132.25)
415.265 units²
area of the smaller circle = π (5.5)²
3.14(30.25)
94.985 units²
subtract: 415.265 - 94.985 = 320.28 units²
Convert \(\frac{7\pi }{4}\) to degrees.
Luna brought all her savings with her to ieme, in euros,For the first week, she spent the same amount of moneyeach day. The table shows how much Luna had left at theend of each dayWhat was the initial value of Luna's savinge?A.) 35 eurosB.) 350 eurosC.) 315 eurosD.) 80 euros
Take the differences, it will give 35
Add 35 to 315
35 + 315 =350
The initial value is 350 euros
Variables In EWA, variable names are case-sensitive, so x is not the same as X. Enter the following expression so that EWA will read it correctly. 18Y - 3х^2
The expression 18Y - 3х^2 is read correctly in EWA when variables are case-sensitive.
This means that when you enter the expression, you must make sure that each letter is the same case as it was written in the expression.
For example, in this expression, the letter "Y" is capitalized and the letter "х" is lowercase, so these letters must be written the same way in EWA for the expression to be read correctly.
To enter the expression into EWA, you need to type it in exactly as it is written. First, you must enter the number 18, followed by the capital letter Y.
Next, you must type the minus sign and the number 3. After this, you must enter the lowercase letter х, followed by the caret symbol (^) and the number 2.
It is important to remember that in EWA, variables are case-sensitive, so x is not the same as X. If you enter the expression incorrectly, EWA will not read it properly and you will not get the desired result.
In conclusion, to enter the expression 18Y - 3х^2 into EWA, you must make sure that each letter is the same case as it was written in the expression and type it in exactly as it is written.
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The sets of numbers 3, 4, 5, and 8, 15, 17 are Pythagorean triples. Use what you know about the Pythagorean Theorem and explain or show why they are Pythagorean triples. Be sure to show your work for each set of triples!
Answer:
Pythagorean Theorom: a^2+b^2=c^2
Take the largest number of each as C (hypotenuse)
3,4,5
(3)^2+(4)^2= (5)^2
25=25
Therefore it is a Pythagorean Triple.
8,15,17
(8)^2+(15)^2=(17)^2
289=289
Therefore it is a Pythagorean Triple.
A fruit basket contains 11 red apples and 7 green apples. What is the ratio of the number of red apples to the number of green apples
Answer:
11:7 or 11/7
Step-by-step explanation:
Since your asking for the ratio 11 goes first as the problom states red apples to green apples and there are 7 green apples so the corect answer is 11:7
9511961
4. Analyze and Persevere What is the
measurement of the longest line segment
in a right rectangular prism that is
4.8 inches long, 1.4 inches wide, and
8 inches tall? Round to the nearest tenth of
an inch.
9.43 inches is the measure of the longest segment
How to solve for the longest segment
We are aware that the diagonal connecting the two opposing corners at the top and bottom will be the longest segment.
We know how to find the diagonal of a right triangular prism using the following formula:
d = \(\sqrt{w^2 + l^2+h^2} \\\\\)
where w = width = 1.4
l = length = 4.8
h = height = 8
We would put these values in the formula above
\(d = \sqrt{1.4^2 + 4.8^2+8^2} \\\\\)
d = \(\sqrt{1.96+23.04+64}\)
d = 9.43
The measure of the longest line segment is given as 9.43 inches
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Luci cuts a board that is
5
7
yard long into pieces that are
5
14
yard long. How many pieces does she cut?
Answer:
I think the answer should be two and a half pieces
What is the result when 8x3 + 10x² + 23x + 15 is divided by 4x + 3 ?
The prices of consumer goods do not always exactly follow the CPI. The following chart shows several consumer items, along with their respective prices in 1983 and today.ItemPrice in 1983 ($)Current Price ($)Pair of boots67.45126.85Hair dryer15.2529.95Box of tissues1.152.25Toaster22.8544.25Using the prices shown on this chart, which of the following is a reasonable estimate of the current CPI?a. 208b. 195c. 180d. 173
None of the given options (i.e. a, b, c, or d) is correct.
Given the prices of consumer items, we can find the estimate of the current CPI.
The percentage change in the price of the consumer item over time can be given as:
Percentage change = (Current Price − Price in 1983)/Price in 1983 × 100%
Now, using the percentage change we can find the average percentage change (increase or decrease) in prices. We calculate the average percentage change by finding the sum of the percentage change in prices of all items and then dividing it by the number of items.
Thus, we have:
Average percentage change = [(126.85−67.45)/67.45 + (29.95−15.25)/15.25 + (2.25−1.15)/1.15 + (44.25−22.85)/22.85]/4Average percentage change = 4.4188%
Now, the current CPI can be found using the following formula:
Current CPI = CPI in 1983 × [1 + (Average percentage change)/100]Current CPI = 100 × [1 + 4.4188/100] ≈ 104.42 ≈ 104
Therefore, the reasonable estimate of the current CPI is 104.
None of the given options (i.e. a, b, c, or d) is correct.
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The number of ong Oliver ha downloaded thi year, divided by 12, i equal to 6 le than 30. What i an equation that repreent thi ituation, and how many ong ha Oliver downloaded?
The equation the represents the situation is x / 12 = 6, and the number of songs that he downloaded is 72
Consider the total number of songs that Oliver downloaded as x
The given statement is "The number of song Oliver has downloaded this year, divided by 12, is equal to 6
The equation will be
x / 12 = 6
The equation is defined as the mathematical statement that shows the relationship between one expression and another expression. The equation consist of variables, numbers and mathematical operator
The equation is
x / 12 = 6
Solve the equation
x = 6 × 12
= 72 songs
Therefore, he downloaded 72 songs this year
The complete question is
The number of song Oliver has downloaded this year, divided by 12, is equal to 6. What is an equation that represent this situation, and how many song has Oliver downloaded?
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25 POINTS!!!!! A cruise ship travels at a bearing of N35°E at 18 mph for 3 hours and changes course to a bearing of S66°E. It then travels 15 mph for 2 hours. Find the distance the ship is from its original position. Round your answer to the nearest hundredth.
Answer:
66.59 is the answer
Answer:
66.95
Step-by-step explanation:
Answer is 66.95
Which angles form a linear pair?
Find the value of c that gives the function the given minimum value. f(x) = 5x2-10x + c; minimum value l Select one: O a. 5 O b, c = 6 O c, c =-4 d.-5
The value of c that gives the function \(f(x) = 5x^2 - 10x + c\) a minimum value is c = -1.
To find the value of c that gives the function \(f(x) = 5x^2 - 10x + c a\)minimum value, we need to use the concept of completing the square.
The given function can be rewritten as: \(f(x) = 5(x^2 - 2x) + c\)
To complete the square, we need to add and subtract the square of half of the coefficient of x:
\(f(x) = 5(x^2 - 2x + (2/2)^2 - (2/2)^2) + c\)
\(f(x) = 5[(x - 1)^2 - 1] + c\)
\(f(x) = 5(x - 1)^2 - 5 + c\)
Now we can see that the function is in vertex form: f(x) = \(a(x - h)^2\) + k, where (h, k) is the vertex.
In this case, the vertex is (1, -5/5) = (1, -1), and the minimum value of the function is k = -1.
Therefore, c = k = -1.
So, the value of c that gives the function \(f(x) = 5x^2 - 10x + c\) a minimum value is c = -1.
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Check whether
(
−
3
,
−
2
)
is a solution to the system, then choose all true statements from the list.
Equation 1:
−
7
x
−
4
y
=
29
Equation 2:
3
x
=
−
7
+
y
Group of answer choices
The point satisfies both equation 1 and 2
The point satisfies only equation 2
The point is not a solution to the system
The point satisfies only equation 1
The point does not satisfy either equation
The point is a solution to the system
The point satisfies both equation 1 and 2" and "The point is a solution to the system.
What do you mean by equation?An equation is a mathematical statement that shows the equality of two expressions. Equations can be used to represent relationships between variables and to solve problems. They are written using an equal sign (=) and can include numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division.
For example, the equation 2x + 3 = 7 is an equation that states that the expression on the left side (2x + 3) is equal to the expression on the right side (7). The goal is to find the value of the variable x that satisfies the equation. In this case, x = 2 is a solution to the equation.
To check whether a point is a solution to a system of equations, we can substitute the values of the variables into the equations and see if the resulting expressions are equal.
So, for the point (-3, -2), we can substitute these values into the equations:
Equation 1: -7x - 4y = 29
Substituting x = -3 , y = -2:
-7(-3) - 4(-2) = 29
21 + 8 = 29
29 = 29
Equation 2: 3x = -7 + y
Substituting x = -3 , y = -2:
3(-3) = -7 + (-2)
-9 = -9
Since both equations are true, the point (-3, -2) satisfies both equation 1 and 2, and is a solution to the system.
Therefore, the true statement from the list is "The point satisfies both equation 1 and 2" and "The point is a solution to the system".
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Construct a 90% confidence interval, using the inequality . To test the effectiveness of a new drug that is reported to increase the number of hours of sleep patients get during the night, researchers randomly select 13 patients and record the number of hours of sleep each gets with and without the new drug.
Answer:
The 90% confidence interval is (-1.987, -1.320).
Step-by-step explanation:
The data provided is:
Sleep without Sleep using
the drug the drug d=without-with
2.5 4.3 -1.8
2.7 4.2 -1.5
3.8 5.0 -1.2
3.8 6.2 -2.4
1.8 2.5 -0.7
4.7 7.1 -2.4
4.8 7.1 -2.3
2.7 3.3 -0.6
1.8 3.5 -1.7
2.2 4.3 -2.1
3.6 4.3 -0.7
5.3 7.0 -1.7
5.2 7.6 -2.4
Compute the sample mean and sample standard deviation:
\(\bar d=\frac{1}{n}\sum d=\frac{1}{13}\times [(-1.8)+(-1.5)+(-1.2)+...+(-2.4)]=-1.654\\\\S_{d}=\sqrt{\frac{1}{n-1}\sum [d-\bar d]^{2}}=0.6753\)
The degrees of freedom of the test is:
df = n - 1 = 13 - 1 = 12
Compute the critical value of t for 90% confidence level and 12 degrees of freedom as follows:
\(t_{\alpha/2, (n-1)}=t_{0.10/2, 12}=1.782\)
Compute the 90% confidence interval as follows:
\(\bar d-t_{\alpha/2, (n-1)}\cdot\frac{S_{d}}{\sqrt{n}}<\mu_{d}<\bar d+t_{\alpha/2, (n-1)}\cdot\frac{S_{d}}{\sqrt{n}}\)
\(-1.645-[1.782\cdot\frac{0.6753}{\sqrt{13}}]<\mu_{d}<-1.645+[1.782\cdot\frac{0.6753}{\sqrt{13}}]\\\\-1.645-0.334<\mu_{d}<-1.654+0.334\\\\-1.988<\mu_{d}<-1.320\)
Thus, the 90% confidence interval is (-1.987, -1.320).
What are the coordinates of the point on the directed line segment from (6,2) to (8,−10) that partitions the segment into a ratio of 1 to 3?
The coordinates of the point that divides the line segment from (6, 2) to (8, -10) into a ratio of 1 to 3 are (7, -1).
To find the coordinates of the point on the directed line segment that partitions it into a ratio of 1 to 3, we can use the concept of section formula.
The section formula states that if we have two points A(x₁, y₁) and B(x₂, y₂) dividing a line segment in the ratio of m₁ : m₂, then the coordinates of the dividing point P are given by:
Px = (m₁ * x₂ + m₂ * x₁) / (m₁ + m₂)
Py = (m₁ * y₂ + m₂ * y₁) / (m₁ + m₂)
In this case, the ratio is 1:3, which means m₁ = 1 and m₂ = 3. The given points are A(6, 2) and B(8, -10). Substituting these values into the formula, we can calculate the coordinates of the dividing point P:
Px = (1 * 8 + 3 * 6) / (1 + 3) = 7
Py = (1 * -10 + 3 * 2) / (1 + 3) = -2/2 = -1
Therefore, the coordinates of the point that divides the line segment from (6, 2) to (8, -10) into a ratio of 1 to 3 are (7, -1).
To find the coordinates of the point that divides the line segment between (6, 2) and (8, -10) in a 1:3 ratio, we can use the section formula. Applying the formula, where m₁ is 1 and m₂ is 3, the point P(x, y) can be determined.
By substituting the values into the formula, the x-coordinate is calculated as (1 * 8 + 3 * 6) / (1 + 3) = 7, and the y-coordinate is (1 * -10 + 3 * 2) / (1 + 3) = -1. Thus, the coordinates of the point that partitions the line segment into a ratio of 1 to 3 are (7, -1).
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Jina has scored 79, 85, 89 and 68 on her previous four tests. What score does she need on her next test so that her mean is 80?
Answer:
79
Step-by-step explanation:
79, 85, 89, 68 have a mean of 80.25 according to calculator.net. the number itself Is close to the number you want, in this case 80, i input 80, but it gave me a score of 80.2, so i tried again with 81, it gave me a score of 80.4, so the third attempt was successful with 79 being the input and 80 the output
calculator.net is approved on my school computer so there is a chance it is on yours as well.
The time Jasmine spends biking is a function of the distance she bikes. Jasmine bikes 18 miles per hour. Assume she bikes at a constant rate
The function used to represents the time spend by Jasmine in biking for a distance of d miles is given by f(d) = d / 18.
The time Jasmine spends biking is indeed a function of the distance she bikes.
The formula to calculate the time Jasmine takes to bike a certain distance is equal to,
time = distance / speed __(1)
Here the speed is the rate at which Jasmine bikes = 18 miles per hour.
Let us consider 'd' be the distance representing the number of miles Jasmine bikes.
This implies,
The function that represents the time Jasmine spends biking in terms of the distance .
Function f(d) representing the time Jasmine spends biking for a distance of d miles
Substitute all the values in the formula (1) we get,
⇒ f(d) = d / 18
Therefore, the function representing the time spend by Jasmine for distance d is equal to f(d) = d / 18.
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The above question is incomplete , the complete question is:
The time Jasmine spends biking is a function of the distance she bikes. Jasmine bikes 18 miles per hour. Assume she bikes at a constant rate.
Write the function representing the time Jasmine spends biking in terms of the distance?