Step-by-step explanation
Then you count how many numbers are after the decimal point(6,0,0,5) making 4. So the decimal point will be inserted by counting 4 spaces from the back.
While sitting on her balcony, Natalie saw a helicopter flying 1,200 feet above her and the top of a tree 14 feet below her. On a number line, let 0 represent Natalie’s location and the positive side of 0 represent a higher position.
Which number sentence correctly compares the distances of the helicopter and the top of the tree to Natalie?
A. |-1,220| > |14|
B. |-1,220| < |14|
C. |1,220| < |-14|
D. |1,220| > |-14|
Answer:
the awnser is C
Step-by-step explanation:
What is the slope of the equation?
y = 1/4x + 2
Answer:
1/4
Step-by-step explanation:
what is a example of a false conditional statement and a true converse
Answer:
if you get good grades then you will not get into a good college
Step-by-step explanation:
you want to reach $3,000 in savings over four years your account will earn 10% interest per year how much must you save each month
You would need to save approximately $56.62 each month to achieve your savings goal of $3,000.00 over four years.
To calculate the monthly savings required to reach a savings goal of $3,000.00 over four years with a 10% annual interest rate, we can use the PMT (Payment) function.
The PMT function helps us determine the fixed payment amount needed to achieve a specific future value within a given time frame.
Let's break down the given information:
Present Value (PV): $0.00 (initial account balance)
Future Value (FV): $3,000.00 (savings goal)
Interest Rate (rate): 10% per year (annual interest rate)
Number of Periods (nper): 4 years (48 months)
Using the PMT function, we need to plug in the values and solve for the monthly payment (savings amount).
The formula for the PMT function is:
PMT(rate, nper, pv, [fv], [type])
Where:
rate = Interest rate per period
nper = Total number of periods
pv = Present value (initial account balance)
fv = Future value (savings goal)
type = (Optional) Indicates whether the payment is made at the beginning (1) or end (0) of the period.
We'll assume 0 for monthly savings.
Let's calculate the monthly savings using the PMT function:
PMT(10%/12, 4*12, 0, -3000, 0)
Here, we divide the annual interest rate by 12 to get the monthly interest rate (10%/12), multiply the number of years by 12 to get the total number of months (4*12), set the initial account balance (pv) as $0, set the future value (fv) as -$3,000 (negative because it's an outgoing payment), and assume the savings are made at the end of each month (type = 0).
Using a financial calculator or spreadsheet software, the monthly savings required to reach the goal of $3,000.00 over four years with a 10% annual interest rate is approximately $56.62.
Therefore, you would need to save approximately $56.62 each month to achieve your savings goal of $3,000.00 over four year.
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Question : you want to reach $3,000.00 in savings over four years. Your account will earn 10% interest per yea Initially your account has a zero balance. How much must you save each month to achieve this goal? Use the PMT() function. Look it up in the e-book if you do not know how to use it. TIP: This is monthly so do not forget to adjust the interest rate and number of payment.
For the function represented in the graph, determine the domain or range, as requested.
Answer:
Given that,
To find the the domain or range of the given function represented in the graph.
Explanation:
we know that,
The domain is the set of all the input values of a function and range is the possible output given by the function.
A domain of a function refers to "all the values" that go into a function. The domain of a function is the set of all possible inputs for the function. ( that is all possible x values)
From the graph, the possible x values are,
\([-2,4]\)The domain of the function is,
\([-2,4]\)The range of a function is the set of all its outputs. (that is all possible y values).
From the graph, all possible y values are,
\([-4,2]\)The range of the function is,
\([-4,2]\)Answer is:
The domain of the function is,
\([-2,4]\)The range of the function is,
\([-4,2]\)What is the length of the dotted line in the diagram below? Round to the neares
tenth.
Which statement is true?
Answer: (1/3) = (4/12)
Step-by-step explanation:
I got this answer by taking (1/3) and multiplying the denominator and numerator by 4 --> (1 * 4/ 3 * 4) == (4/12)
Answer:
1/3 = 4/12 is true
Mark me as a brainiest
PLEASE HELP ME, VERY MUCH THANKFULLLLL <3
Step-by-step explanation:
first find the slope
m = rise/run
i see two point (0,4) and (3,5)
m = (5-4)/(3-0) = 1/3
the formula of slope-intercept is
y = mx + b
take poin (0,4) 0 as x and 4 as y
4 = ½*0 + b
b = 4
so the final form is
y = ⅓x + 4
y = 0.3x + 4
Solve |5x+1|<-2 and write the solution in interval notation.
If you meant to say \(|5x+1| < -2\), then there are no solutions.
This is because the |5x+1| is never negative. This applies to the result of any absolute value function. Absolute value represents distance on a number line. Negative distance is not possible.
---------------------------------------------------------------
If you meant to say \(|5x+1| \le 2\), then the steps are shown below
\(|5x+1| \le 2\\\\-2 \le 5x+1 \le 2\\\\-2-1 \le 5x+1-1 \le 2-1\\\\-3 \le 5x \le 1\\\\-3/5 \le 5x/5 \le 1/5\\\\-3/5 \le x \le 1/5\\\\-0.6 \le x \le 0.2\\\\\)
The interval notation would be [-3/5, 1/5] in fraction form
That is equivalent to [-0.6, 0.2] in decimal form.
Use square brackets to include each endpoint.
Solve the problem below:
6315*41=
Show your work
The value of 6315 ×41 is 260391.
What is Multiplication?Multiplication is a method of finding the product of two or more numbers
We have to find the product of 6315 times of forty one
6351
× 41
_______
6351
25404+
__________
260391
Hence, the value of 6315 ×41 is 260391.
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introduces a husband and wife with brown eyes who have 0.75 probability of having children with brown eyes, 0.125 probability of having children with blue eyes, and 0.125 probability of having children with green eyes. a) What is the probability that their first child will have green eyes and the second will not? b) What is the probability that exactly one of their two children will have green eyes? c) If they have six children, what is the probability that exactly two will have green eyes? d) If they have six children, what is the probability that at least one will have green eyes? e) What is the probability that the first green eyed child will be the 4th child? f) Would it be considered unusual if only 2 out of their 6 children had brown eyes?
The probability of their first child having green eyes is 0.125, and the probability of their second child not having them is 0.875.
What is a probability?Probability is an estimate of how likely an occurrence is to occur. It's a figure between 0 and 1, where 0 means the event is unlikely and 1 means the event is certain. A likelihood of 0.5 (or 50%) indicates that the occurrence has an equal chance of occurring or not occurring.
In the given question,
a) The probability of their first child having green eyes is 0.125. The probability of their second child not having green eyes is 1 - 0.125 = 0.875. Therefore, the probability that their first child will have green eyes and the second will not is 0.125 x 0.875 = 0.1094.
b) The probability of exactly one of their two children having green eyes can be calculated in two ways: either the first child has green eyes and the second doesn't, or the first child doesn't have green eyes and the second does. The probability of the first scenario was calculated in part (a) to be 0.1094, and the probability of the second scenario is the same, so the total probability is 2 x 0.1094 = 0.2188.
c) The probability of exactly two out of six children having green eyes can be calculated using the binomial distribution with n = 6, p = 0.125, and k = 2. The formula for this probability is:
P(k=2) = (6 choose 2) x \(0.125^2 x (1 - 0.125)^4\) = 0.1936
where (6 choose 2) = 6!/(2!4!) = 15 is the number of ways to choose 2 children out of 6.
d) The probability of at least one of their six children having green eyes is the complement of the probability that none of them do. The probability that any one child doesn't have green eyes is 1 - 0.125 = 0.875, so the probability that none of the six children have green eyes is \(0.875^6\) = 0.1779. Therefore, the probability that at least one of their six children has green eyes is 1 - 0.1779 = 0.8221.
e) The probability that the first green-eyed child will be the fourth child is the probability that the first three children do not have green eyes, multiplied by the probability that the fourth child has green eyes, multiplied by the probability that the fifth and sixth children do not have green eyes. The first three children have a probability of \((1-0.125)^3\) = 0.578 to not have green eyes. The fourth child has a probability of 0.125 to have green eyes. The probability that the fifth and sixth children do not have green eyes is \((1-0.125)^2\) = 0.765625. Therefore, the probability that the first green-eyed child will be the fourth child is 0.578 x 0.125 x 0.765625 = 0.0557.
f) It would depend on the context and the specific definition of "unusual." If the expected number of brown-eyed children is 0.75 x 6 = 4.5, then having only 2 out of 6 children with brown eyes is below average. However, the probability of this exact outcome can be calculated using the binomial distribution with n = 6 and p = 0.75:
P(k=2) = (6 choose 2) x \(0.75^2 x (1 - 0.75)^4\) = 0.0986
where (6 choose 2) = 6!/(2!4!) = 15 is the number of ways to choose 2 children out of 6. This probability is not very low (less than 10%), so it might not be considered unusual in a statistical sense.
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What is the range of f(x) = sin(x)?
the set of all real numbers -2pi≤y≤2pi
the set of all real numbers -1≤y≤1
the set of all real numbers 0≤y≤2pi
the set of all real numbers
Answer:
the set of all real numbers -1≤y≤1
Step-by-step explanation:
according to the definition of 'sin'-function, the max value of it is '+1' and the min is '-1'. Finally, the correct answer is B. the set of all real numbers -1≤y≤+1.
Find the open intervals on which the function f(x)= x+10sqrt(9-x) is increasing or decreasing.
The function f(x) = x + 10√(9 - x) is increasing on the interval (-∞, 9) and decreasing on the interval (9, ∞).
To determine the intervals on which the function is increasing or decreasing, we need to find the derivative of the function and analyze its sign.
Let's find the derivative of the function f(x) = x + 10√(9 - x) with respect to x.
f'(x) = 1 + 10 * (1/2) * (9 - x)^(-1/2) * (-1)
= 1 - 5√(9 - x) / √(9 - x)
= 1 - 5 / √(9 - x).
To analyze the sign of the derivative, we need to find the critical points where the derivative is equal to zero or undefined.
Setting f'(x) = 0:
1 - 5 / √(9 - x) = 0
5 / √(9 - x) = 1
(√(9 - x))^2 = 5^2
9 - x = 25
x = 9 - 25
x = -16.
The critical point is x = -16.
We can see that the derivative f'(x) is defined for all x values except x = 9, where the function is not differentiable due to the square root term.
Now, let's analyze the sign of the derivative f'(x) in the intervals (-∞, -16), (-16, 9), and (9, ∞).
For x < -16:
Plugging in a test value, let's say x = -17, into the derivative:
f'(-17) = 1 - 5 / √(9 - (-17))
= 1 - 5 / √(9 + 17)
= 1 - 5 / √26
≈ 1 - 0.97
≈ 0.03.
Since f'(-17) is positive, the function is increasing in the interval (-∞, -16).
For -16 < x < 9:
Plugging in a test value, let's say x = 0, into the derivative:
f'(0) = 1 - 5 / √(9 - 0)
= 1 - 5 / √9
= 1 - 5 / 3
≈ 1 - 1.67
≈ -0.67.
Since f'(0) is negative, the function is decreasing in the interval (-16, 9).
For x > 9:
Plugging in a test value, let's say x = 10, into the derivative:
f'(10) = 1 - 5 / √(9 - 10)
= 1 - 5 / √(-1)
= 1 - 5i,
where i is the imaginary unit.
Since the derivative is not a real number for x > 9, we cannot determine the sign.
Combining the information, we conclude that the function f(x) = x + 10√(9 - x) is increasing on the interval (-∞, 9) and decreasing on the interval (9, ∞).
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7.) According to the quantity equation, changes in the money supply will lead directly to
changes in the price level if velocity and real GDP are unaffected by the change in the
money supply. Will velocity change over time? What factors might lead to changes in
velocity? Are those changes related to changes in the money supply?
According to the quantity theory of money, changes in the money supply will lead directly to changes in the price level if velocity and real GDP are unaffected by the change in the money supply.Velocity can change over time, and changes in velocity may be caused by various factors.
For example, changes in velocity can be caused by shifts in payment practices, changes in the use of credit, changes in the availability of bank deposits or cash, or shifts in demand patterns.Changes in velocity may be related to changes in the money supply.
For example, if the money supply increases, the demand for money may increase, causing the velocity of money to decrease. Conversely, if the money supply decreases, the demand for money may decrease, causing the velocity of money to increase.
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Subtract 4 from 1/6 of 42 5th grade
Answer:
3
Step-by-step explanation:
subtract 4 from 1/6 of 42. In middle school my traxhers always told me that of menas multiply, and in this situation it still holds. 1/6 x 42 is 42/6 or 42 divided by 6 which is 7. So now that makes this simpler, its saying subtract 4 from 7, so 7-4 =3
100+10-8+60-80+700+20-150
Final Answer: 652
Steps/Explanations/Reasons:
Question: 100 + 10 - 8 + 60 - 80 + 700 + 20 - 150
Step 1: Simplify \(100 + 10\) to \(110\).
\(110 - 8 + 60 - 80 700 + 20 - 150\)
Step 2: Simplify \(110 - 8\) to \(102\).
\(102 + 60 - 80 + 700 + 20 - 150\)
Step 3: Simplify \(102 + 60\) to \(162\).
\(162 - 80 + 700 + 20 - 150\)
Step 4: Simplify \(162 - 80\) to \(82\).
\(82 + 700 + 20 - 150\)
Step 5: Simplify \(82 + 700\) to \(782\).
\(782 + 20 - 150\)
Step 6: Simplify \(782 + 20\) to \(802\).
\(802 - 150\)
Step 7: Simplify.
\(652\)
~I hope I helped you :)~
can someone help me with this quickly pleaseee
Answer:
≈ 52m^2
Step-by-step explanation:
1)the face of a semicircle: (\(\pi\)*r^2)/2
2)the face of a rectangle: 6*5
3)the face of a triangle: (3*5)/2
1) d=6m r=3m (3.14*3^2)/2=28.26/2=14.13
2) 6*5=30
3) (3*5)/2=15/2=7,5
Full surface: 14.13+30+7.5=51.63
answer: 51.63m^2 ≈ 52m^2
calcula b para que la recta 2x + by = - 11 pase por el punto (-2, 5)
Answer:
i dont kown sorry i hope i helped :)
Step-by-step explanation:
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A line passes through (-2,4), (-4, 8), and (n, -4). Find the value of n.
Answer: n = 2 ....... (2, -4)
Step-by-step explanation:
To find n, one must write the equation for the points given, which are (-2, 4) and (-4, 8). Remember, the standard linear equation is y = mx + b, where m is the slope of the line.
To find the slope, refer back to (y2-y1)/(x2-x1), or in this case, (8-4)/(-4+2), which gives us -2
With our slope of -2, we can write the equation as y = -2x+b. Now, we need to find b (the y-intercept) by plugging in a point as (x,y)
Let's use (-4,8) point and plug it into our linear equation: y = -2x+b
to get 8=(-2)(-4) +b
8=8+b
0=b (which means our y-intercept is 0)
Now, our official linear equation is y=-2x
The problem gives us (n, -4) where -4 y, so we plug in -4 as y in the equation to get:
-4=-2x
-4/-2=x
2 = x
And there we go :) I hope this helps!
Answer:
The value of n = 2.
Step-by-step explanation:
Given the following points passing through a line, (-2, 4), (-4, 8), and (n , -4) wherein we must find the value of n:
It helps to determine the equation of the line, using the slope-intercept form: y = mx + b, where:
m = slope (rate of change), which measures the steepness of the line.b = y-coordinate of the y-intercept; it is the point on the graph where it crosses the y-axis. Slope:In order to solve for the slope of the line, use the following slope formula:
\(\displaystyle\mathsf{m =\:\frac{y_2 - y_1}{x_2 - x_1}}\)
Let (x₁, y₁) = (-2, 4)
(x₂, y₂) = (-4, 8)
Substitute these values into the slope formula.
\(\displaystyle\mathsf{m =\:\frac{y_2 - y_1}{x_2 - x_1}}\)
\(\displaystyle\mathsf{m =\:\frac{8 - 4}{-4 -(-2)}\:=\:\frac{4}{-4+2}\:=\Frac{4}{-2}\:=\:-2}\)
Hence, the slope of the line is: m = -2.
Y-intercept:Next, we must solve for the y-intercept. Since it is the point where the graph crosses the y-axis, set x = 0 and solve for the value of y.
Use the slope, m = -2, and one of the given points, (-2, 4), and substitute these values into the slope-intercept form to solve for the value of the y-intercept, b:
y = mx + b
4 = -2(-2) + b
4 = 4 + b
Subtract 4 from both sides:
4 - 4 = 4 - 4 + b
0 = b
The y-intercept is: b = 0.
Linear Equation in Slope-intercept Form:Therefore, the equation of the line in slope-intercept form is:
y = -2x + 0 or y = -2x.
Find the value of n in (n, -4)In order to determine the value of n, substitute its corresponding y-coordinate, -4, and substitute into the equation in the previous step:
Set y = -4:
y = -2x
-4 = -2x
Divide both sides by -2 to solve for x:
\(\displaystyle\mathsf{\frac{-4}{-2}\:=\:\frac{-2x}{-2}}\)
x = 2
Therefore, the value of n = 2.
A rope 15 inches long has been divided into the greatest possible number of pieces in such a way that each piece has a different length, and each of these lengths in inches is expressed by a whole number. How many cuts were made?
A.3
B.4
C.5
D.6
E.7
Answer:
Below
Step-by-step explanation:
1+2+3+4+5 =15 5 lengths will require 4 cuts
A cereal box has dimensions of 12 inches, (7)3/4 inches, and 2 inches. A pastry box has a dimensions of (3)2/3 inches, (3)1/2 inches, and (2)1/3 inches. What is the difference in volume, cubic inches, between the two boxes. show your work
The difference in volume between the two boxes would be = 156in³
How to calculate the difference in volume between the boxes?To calculate the difference in volume between the boxes is the find the individual volume of the boxes using the formula ;
Volume = length×width×height.
For box 1 = length = 12in, width = 7¾in, height= 2in
Vol = 12×7¾×2 = 186in³
For box 2; length = 3⅔in, width = 3½in, height= 2⅓in
Volume = 3⅔×3½×2⅓ = 30
The difference = 186-30 = 156in³
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The equation line l is given by the equation y= 7/4x+3. line m goes through the point ( –1,4) and is perpendicular to line l which of the following is the equation of line m ?
We determine line m as follows:
*First, by theorem we have the following:
\(m_1=-\frac{1}{m_2}\)Here m1 & m2 are the slopes of two perpendicular lines. For all lines that are perpendicular that is true, so we calculate the slope of line m using the slope of the function given [Which has a slope of 7/4]:
\(m_1=-\frac{1}{\frac{7}{4}}\Rightarrow m_1=-\frac{4}{7}\)So, the slope of line m is -4/7. Now, using this slope and the point (-1, 4) we replace in the following expression:
\(y-y_1=m_1(x-x_1)\)Here x1, y1 & m1 are the x-component of the point, the y-component of the point, and the slope of the line respectively, so we replace and solve for y:
\(y-4=-\frac{4}{7}(x-(-1))\Rightarrow y-4=-\frac{4}{7}x-\frac{4}{7}\)\(\Rightarrow y=-\frac{4}{7}x+\frac{24}{7}\)And that last function of y is the line m.
a concert has 6 selections. there are 515 seats in each selection. about how many seats are in the concerts hall
Answer:
3090
Step-by-step explanation:
6 x 515
Answer:
3090
Step-by-step explanation:
Solve for x in the diagram below
Answer:
X=6
Step-by-step explanation:
5x+(x+54)=90
6x+54=90
6x=36
X=6
A packing crate can hold 205 avocados. There were 7,000 avocados picked at a large grove. The owner has 36 packing crates. Does he have enough crates to ship out the avocados? Explain.
Answer: He does have enough crates to ship out the avocados.
Step-by-step explanation: 205 avocados fit inside a shipping container. At a big grove, 7000 avocados were picked. 36 cargo containers belong to the owner. As a result, he can fit a total of = avocados. And since he has 7000 avocados, he does indeed have enough crates to carry the fruit.
Find two consecutive whole numbers that
82 lies between.
Answer: The question as written is incomplete, but square root of 82 is between the whole numbers 9 and 10, whose squares are 81 and 100
Which of the following fractions is not equivalent to 2?
3/6 10/5 2/1 (1 4/4)
Answer:
3/6.
Step-by-step explanation:
3/6 is 0.5, not 5.
Answer:4/4
Step-by-step explanation:
The space suit an astronaut wears is called an Extravehicular Mobility Unit (EMU). The EMU contains two oxygen tanks that carry a total of 120 cubic feet of oxygen. If the astronaut uses oxygen at rate of 15 cubic feet per hour, which of the following functions best models the amount of oxygen left in the tank after t hours?Group of answer choicesV(t) = 120t - 15V(t) = 120 + 15tV(t) = 120 - 15tV(t) = 120t + 15
SOLUTION:
Step 1:
In this question, we are given the following:
The EMU contains two oxygen tanks that carry a total of 120 cubic feet of oxygen.
If the astronaut uses oxygen at the rate of 15 cubic feet per hour.
Which of the following functions best models the amount of oxygen left in the tank after t hours?
Step 2:
The best function that models the amount of oxygen left in the tank after t hours is:
\(V(t)\text{ = 120 - 15t -- OPTION C}\)i need help can someone help me right now!!!!!!
(a) | BD | bisects | AC | (reason : Given)
(b) |AD| ≅ |CD| (reason: |BD| is the perpendicular bisector of segment AC).
(c) ∠ABD ≅ ∠CBD (reason: | BD | bisects angle ABC)
(d) ∠A ≅ ∠ C (reason: complementary angles of a right triangle)
What is the complete proof of the congruent angles?Congruent angles are the angles that have equal measure. So all the angles that have equal measure will be called congruent angles.
From the first statement, we will complete the flow chart as follows;
line BD bisects line AC (reason : Given)
line AD is congruent to line CD (reason: line BD is the perpendicular bisector of segment AC)
Angle ABD is congruent to angle CBD (reason: line BD bisects angle ABC)
Angle A is congruent to angle C (reason: angle ABD = angle CBD, and both triangles ABD and CBD are right triangles).
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What is the answer of this triangle congruence question.
The value of x in the triangles are 9.
What is a quadratic equation?For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.
Given:
The triangles are congruent.
That means, their corresponding angles are also congruent.
In ΔJKL,
the sum of all the angles of the triangle is 180°.
So,
x²-2x + x + 29 + 3x + 52 = 180
x² + 2x - 99 = 0
Solving the quadratic equation,
x² +11x - 9x - 99 = 0.
x (x + 11) -9 (x + 11) = 0
x = 9 and x = -11
Here, we take x = 9.
Therefore, the value of x is 9.
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