The statement "the Y value of function I would ask equals -2 is greater than the Y value function be when I ask equals negative to the Y value function a 1X equals -2 is less than the Y value a function be one x was -2" is true.
Given, two functions y = -2f(x) = 1/x
To determine whether the statement "the Y value of function I would ask equals -2 is greater than the Y value function be when I ask equals negative to the Y value function a 1X equals -2 is less than the Y value a function be one x was -2" is true or false, we need to find the value of Y for both functions when x = -2.
Substituting x = -2 in the functions we get:I would ask y = -2(-2) = 4f(-2) = 1/(-2) = -1/2Therefore, the Y value of the function I would ask is greater than the Y value function be when I ask equals negative to the Y value function a 1X equals -2 is less than the Y value a function be one x was -2. Hence, the given statement is true.
Therefore, the statement "the Y value of function I would ask equals -2 is greater than the Y value function be when I ask equals negative to the Y value function a 1X equals -2 is less than the Y value a function be one x was -2" is true.
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Se está construyendo una escalera que inicia a 4.10 m para alcanzar una altura de 2.35 m calcular la longitud de la escalera y cual es su ángulo de elevación 0 .
The length of the ladder is 4.72 meters and its angle of elevation is 30.4 degrees.
Using the Pythagorean theorem:
Length of the ladder = √(height² + horizontal distance²)
= √(2.35² + 4.10²)
= √(5.5225 + 16.81)
= √22.3325
≈ 4.72 meters
To calculate the angle of elevation (θ), we can use the trigonometric function sine:
sin(θ) = height / length of the ladder
θ = arcsin(height / length of the ladder)
θ = arcsin(2.35 / 4.72)
θ ≈ 30.4 degrees
Therefore, the length of the ladder is 4.72 meters and its angle of elevation is 30.4 degrees.
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The Translation of given question is:
A ladder is being constructed that starts at 4.10 m and reaches a height of 2.35 m. Calculate the length of the ladder and its angle of elevation.
How could you estimate the extra cost per month of borrowing $50,000 for 30 years at 11% instead of 10%?
Borrowing $50,000 for 30 years at 11% instead of 10% would result in an extra cost of approximately $44.63 per month.
To estimate the extra cost per month of borrowing $50,000 for 30 years at 11% instead of 10%, you can follow these steps:
Calculate the monthly payment for each interest rate:
The formula to calculate the monthly payment for a fixed-rate loan is:
M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)
Where:
M is the monthly payment,
P is the principal amount (loan amount),
r is the monthly interest rate (annual interest rate divided by 12),
n is the total number of monthly payments (number of years multiplied by 12).
Let's calculate the monthly payment at 10% interest rate first:
P = $50,000
r = 10% / 100 / 12 = 0.0083333 (monthly interest rate)
n = 30 years * 12 = 360 (total number of monthly payments)
M1 = $50,000 * (0.0083333 * (1 + 0.0083333)^360) / ((1 + 0.0083333)^360 - 1)
Calculate the monthly payment at 11% interest rate using the same formula:
P = $50,000
r = 11% / 100 / 12 = 0.0091667 (monthly interest rate)
n = 30 years * 12 = 360 (total number of monthly payments)
M2 = $50,000 * (0.0091667 * (1 + 0.0091667)^360) / ((1 + 0.0091667)^360 - 1)
Calculate the difference in monthly payments:
Extra cost per month = M2 - M1
Now let's perform the calculations:
M1 ≈ $446.92 (monthly payment at 10% interest rate)
M2 ≈ $491.55 (monthly payment at 11% interest rate)
Extra cost per month = $491.55 - $446.92 ≈ $44.63
Therefore, borrowing $50,000 for 30 years at 11% instead of 10% would result in an extra cost of approximately $44.63 per month.
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A makeup artist purchased some lipsticks and wants to wrap them individually with gift wrap. Each lipstick has a radius of 0.6 inch and a height of 2.4 inches. How many total square inches of gift wrap will the makeup artist need to wrap 3 lipsticks? Leave the answer in terms of π.
9.04π square inches
10.8π square inches
11.3π square inches
14.4π square inches
The number of square inches or area of gift wrap that the makeup artist will need is 10.8π square inches.
Given that,
A makeup artist purchased some lipsticks and wants to wrap them individually with gift wrap.
Radius of each lipstick = 0.6 inch
Height of the lipstick = 2.4 inches
Now,
Area of the each lipstick = 2πrh + 2πr², where r is the radius and h is the height.
Area = 2π (0.6) (2.4) + 2π (0.6)²
= 2.88π + 0.72π
= 3.6π
Area of the wrap for 3 lipsticks = 3 × 3.6π = 10.8π square inches.
Hence the area is 10.8π square inches.
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Precalc question below.
The number of additional copies you could ship by ordering 128 instead of 127 copies is 0 copies.
We have,
To determine the number of additional copies you could ship if you ordered 128 copies instead of 127 copies, we need to compare the costs of ordering each quantity using the given function C(n).
For n = 127:
C(127) = $6.91 x 127 = $878.57
For n = 128:
C(128) = $5.16 x 128 = $660.48
By subtracting the cost of ordering 127 copies from the cost of ordering 128 copies, we can determine the cost difference:
Cost difference = C(128) - C(127)
= $660.48 - $878.57
= -$218.09
Since the cost difference is negative, it means that ordering 128 copies is cheaper than ordering 127 copies.
However, the question asks for the number of additional copies, so we need to consider the whole number of copies.
Rounding down to the nearest whole copy, the number of additional copies you could ship by ordering 128 instead of 127 copies is 0 copies.
Thus,
The number of additional copies you could ship by ordering 128 instead of 127 copies is 0 copies.
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name miles hours
doug 28 2.3
primo 34 2.1
Camillo 57 1.4
Bryan 49 1.2
The table above shows the number of miles driven by four drivers and the number of hours each person drove. Which person drove the fastest?
Answer: Bryan drove the fastest.
Step-by-step explanation: To find out who drove the fastest, we need to calculate the speed of each person. Speed is given by the formula distance/time.
For Doug:
Speed = 28 miles / 2.3 hours = 12.17 miles/hour
For Primo:
Speed = 34 miles / 2.1 hours = 16.19 miles/hour
For Camillo:
Speed = 57 miles / 1.4 hours = 40.71 miles/hour
For Bryan:
Speed = 49 miles / 1.2 hours = 40.83 miles/hour
A bottle holds 750 milliliters of iced tea.
I fluid ounce 30 milliliters
Approximately how many fluid ounces of iced tea does the bottle hold, rounded to the nearest whole number?
The number of fluid ounces of iced tea does the bottle hold is 25.
Given that, a bottle holds 750 milliliters of iced tea.
1 fluid ounce has 30 milliliters.
Here, the number of fluid ounces = Total quantity of iced tea/Quantity of fluid in a fluid ounce
= 750/30
= 25
Therefore, the number of fluid ounces of iced tea does the bottle hold is 25.
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(−3+x)=kx+9
what does x=
Answer:
Step-by-step explanation:
he correct answer for the domain of function p(x) is:
Domain: [1, ∞)
This means that x can take any value greater than or equal to 1, including 1 itself. The square root function (√x) is defined for non-negative real numbers, so x must be greater than or equal to 0. In this case, since we have √x - 1 in the function, x must be greater than or equal to 1 to avoid a negative value under the square root. Additionally, there are no other restrictions on the domain, so any value of x greater than or equal to 1 is allowed.
In the equation, y = 2 sin
000
A
B
с
O
1
x, which statements are true? Select all that apply.
2
The period is 4π
The amplitude is 2
The period is
1
2
76
The amplitude is-
2
The period of the function is 4π, and the amplitude is 2.
Given data ,
Let the function be represented as f ( x ) = y
Now , the value of f ( x ) is
y = 2sin ( 1/2 )x
To find the period and amplitude of the function y = 2sin((1/2)x), we can use the standard form of a sine function: y = Asin(Bx).
In this case, the amplitude (A) is 2.
The amplitude represents the maximum displacement from the midpoint of the sinusoidal function.
To find the period, we can use the formula:
Period = (2π) / |B|.
B = 1/2.
Period = (2π) / |1/2|
P = (2π) / (1/2) = 2π * 2/1 = 4π
Hence , the period of the function is 4π, and the amplitude is 2.
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please help! thank uu~ :)
Answer:
look at explanation
Step-by-step explanation:
it's a 50/50 chance
Which expression is equal to 3√5/√11
A.√33/5
B.3√55/11
C.3√55/√11
D.O√55/11
Answer:
B
Step-by-step explanation:
3√5/√11 = 2.02
3√55/11 = 2.02
so,
3√5/√11 = 3√55/11
A survey was given to a random sample of the residents of a town to determine whether they support a new plan to raise taxes in order to increase education spending. The survey reported a confidence interval that between 22% and 32% of the residents supports the plan. What is the margin of error on the survey? Do not write ± ± on the margin of error.
Answer:
[tex]\Huge \bold{\boxed{\boxed{\text{5\%}}}}[/tex]
Step-by-step explanation:
To calculate the margin of error for the survey, we need to use the formula:
[tex]\large \text{Margin of error} = \large \text{$\frac{\text{Range of values}}{2}$}[/tex]
The range of values is the difference between the upper and lower bounds of the interval. In this case, the lower bound is 22% and the upper bound is 32%, so the range of values is:
[tex]\large \text{Range of values = 32\% - 22\% = 10\%}[/tex]
Substituting this value into the formula, we get:
[tex]\large \text{Margin of error = $\frac{10\%}{2}$ = 5\%}[/tex]
Therefore, the margin of error on the survey is 5%.
Matthew examines the relation shown in the below.
{(4,-11), (3,1), (0,1), (2,6), (3, -1)}
Is the relation a function? Why or why not?
No. There are x values which map to more than 1 y-value.
Yes. Every y-value maps to exactly 1 x-value.
No. There are y-values which map to more than 1 x-value.
Yes. Every x-value maps to exactly 1 y-value.
No, there are x values which map to more than 1 y-value.
Given that Matthew examines the relation as shown in the below.
{(4, -11), (3,1), (0,1), (2,6), (3, -1)}
We need to check whether the relation is a function or not,
So, we know that,
A relation can map inputs to multiple outputs. It is a function when it maps each input to exactly one output. The set of all functions is a subset of the set of all relations.
If any x values are repeated, and the corresponding y values are different, then we have a relation and not a function.
Here we can see that the y values are repeated, so it is not a function.
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I need help please!!!
Siama and Wills used different methods to find the differences between (5x + 6x) and (2x - 1) but they both arrived at the same answer.
I prefer Wills method because it is easier and less complicated.
How to solve differences?Wills method:
(5x + 6x) - (2x - 1)
Subtract both 2x and -1
5x + 6x - 2x - - 1
5x + 4x + 1
In conclusion, Wills method is preferred when both methods are compared.
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a) Write a direct variation equation that represents the situation of a group of snow geese migrating 375 miles in 7.5 hours.
C
b) Every year geese migrate 3,000 miles from their winter home in the southwest United States to their summer home in the Canadian Arctic. How many hours of
flying time does it take the geese to migrate? (Use your equation from part a)
Answer:f=60a(60)
hope this helps bye
5. Jamal is taking a road trip. He plans to travel a total of 350 miles over the course of 8 days. If he plans on driving an equal amount each day, how far will he travel each day? Solve and check!
Answer: 43.75 miles per day.
Step-by-step explanation: All you have to do is divide 350 by 8, when you divide you basically just split the number evenly 8 times, which is what 350 divided by 8 is. He will have to drive 43.75 miles a day.
An investment of $2000 is put in account that earns 4% interest, compounded quarterly. Find the amount of money, rounded to the nearest dollar, in the account after
8 years.
Use the formula A = P(1+r/n)^nt to help you find the answer.
Answer: $275
Step-by-step explanation:
Which expression is equivalent to?
The expression that is equivalent to the given variables above would be =y¹²/5. That is option A.
How to determine the expression that is equivalent?To determine the expression that is equivalent to the given variable above, the following steps needs to be taken as follows;
That is:
= 9x⁵y¹⁶/45x⁵y⁴
Divide the whole numbers using 9 for both the numerator and denominator.
= x⁵y¹⁶/5x⁵y⁴
To solve for x':
= X(5-5 = 0)
To solve for y':
= y(16-4= 12)
Therefore the equivalent = =y¹²/5
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What is the slope below
Answer: -5/4
Step-by-step explanation:
Type the correct answer in each box. Use = 3.14 and, if necessary, round your answers to the nearest hundredth.
The area of the largest cross section of a sphere and the circumference of the sphere are in the ratio 4: 1.
The radius of the sphere is
cm. The circumference of the sphere is about
cm². The volume of the sphere is about
cm³
cm. The area of the largest cross section is about
The radius of the sphere is 2cm
The circumference of the sphere is about 12.56 cm
cm²
The volume of the sphere is about 33. 5cm³
How to determine the valueFrom the information given, we have that;
We have that the largest cross sectional area of the sphere takes the value
πr²
The circumference of the sphere = 2πr
Equate the expressions;
2πr = πr²
in the ratio of 4: 1
2πr = 4πr²
Divide the values
r =2cm
Substitute the value to determine the circumference of the sphere, we get;
Circumference = 2 × 3.14 × 2
Multiply the values, we get
Circumference = 12.56 cm
The volume of the sphere is represented as;
=4/3 × 3.14 × (2)³
Multiply the values, we have;
=4/3 × 3.14 ×8
Multiply the values, we get;
= 33. 5cm³
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Using trial and improvement, find the solution between 3 and 4 for the following equation: 2 x 3 − x 2 = 100 Give your answer rounded to 1 DP.
The solution is, After decreasing £16870 by 3% we get, £16363.90.
Here, we have,
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".
First, find the percentage of £16870 by 3%
%value = 3% * 16870
= (3 / 100) * 16870
= 506.1
Now, just minus with actual value
New value = actual value - %value
We know, actual value = £16870 and %value = 506.1
so, New value = 16870 - 506.1
we get, New value = £16363.90
Therefore, After decreasing £16870 by 3% we get, £16363.90
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complete question:
Decrease £16870 by 3%
Give your answer rounded to 2 DP.
Help please!! Thank youuuuu!!!
I’ll give brainliest if you show work as well.
The value of x from given parallel lines is 2.
In the given figure, three lines are parallel and two lines are passing through.
When three or more parallel lines are cut by two transversals, the line segments formed are proportional.
That is, 2x/x = (x+4)/(4x-5)
2/1 = (x+4)/(4x-5)
2(4x-5)=1(x+4)
8x-10=x+4
8x-x=4+10
7x=14
x=2
Therefore, the value of x from given parallel lines is 2.
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What is the answer???
Answer:
2ab(b + 4 - 3a)
Step-by-step explanation:
a^2b + 2ab^2 + 8ab - 7a^2b
= 2ab^2 + 8ab + a^2b - 7a^2b
= 2ab^2 + 8ab - 6a^2b
= 2(ab^2 + 4ab - 3a^2b)
= 2a(b^2 + 4b - 3ab)
= 2ab(b + 4 - 3a)
Find the value of 3a when a = -4.
(b)- 7
(d) -12
(a) 7
(c) 12
Answer:
(d) -12
Step-by-step explanation:
3a = _____
a = -4
3(-4) = ___
3(-4) = -12
The answer is (d) -12
What two whole numbers does sqrt 3 11 lie between
The third root of 11 lies between the whole numbers 2 and 3.
How to estimate a non-exact square root?The estimate of a non-exact root of x is done finding two numbers, as follows:
The greatest number less than x that is a perfect root, which we call a.The smallest number greater than x that is a perfect root, which we call b.The number for this problem is given as follows:
Cubic root of 11.
For the parameters, we have that:
The cube of 2 is of 2³ = 11.The cube of 3 is of 3³ = 27.Hence the third root of 11 lies between 2 and 3, as 2³ < 11 < 3³.
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Haley try to solve the equation log⇩4 2x=5. She got the wrong answer. What was her mistake? What should the correct answer be?
Help DUE! ASAP HELP ASAP
Answer:
Step-by-step explanation:
[tex]log_{4}2x = 5 \\2x = 4^5\\2x = 2^{10}\\x = \frac{2^{10}}{2}\\ x = 2^9\\x = 512[/tex]
Mistake is in step - 3 .
Find the perimeter of the shaded figure
The perimeter of the shaded figure is 21.42 units.
Given that, radius of two congruent circles is 3 units.
Dimensions of rectangle are length=6 units and width=3 units.
The formula to find the arc length of a circle is θ/360° ×2πr.
Here, arc length = 90°/360° ×2×3.14×3
= 0.25×2×3.14×3
= 4.71
Arc length of two congruent circles = 2×4.71
= 9.42 units
Perimeter = 9.42+6+6
= 21.42 units
Therefore, the perimeter of the shaded figure is 21.42 units.
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Need help with this question
The height d as shown in the right angled triangle is 4.95.
What is height?Height is the vertical distance between two points.
To calculate the height d as shown in the right angled triangle, we use the formula below
Formula:
d = hcos∅.............. Equation 1From the diagram in the question,
Given:
h = 7∅ = 45°Substitute these values into equation 1
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find the bearing of a from b
find the bearing of b from a
Answer:
130° and 310°
Step-by-step explanation:
the bearing of A from B is the measure of the clockwise angle from a north line at B to A
the angle at B and A are same- side interior angles and sum to 180°
angle at B = 180° - 50° = 130°
the bearing of A from B is then 130°
the bearing of B from A is the measure of the clockwise angle from the north line at A to B
the complete angle about A = 360° then clockwise angle from north line at A to B is
360° - 50° = 310°
the bearing of B from A is 310°
can everyone help idek how to do this?
The perimeter of the tri9angle MNO is P = 58 units.
How to find the perimeter of the triangle?The perimeter of the triangle is equal to the sum of the lengths of the sides, we know that:
OM = 23
NM = 18.4
To find the missing side we can use the similar triangle that we have next to it.
We can see that that OM is correspondent to LJ
Then if the scale factor between the triangles is K, we can write:
18.4 = 10*K
18.4/10 = K = 1.84
Now, NO is correspondent to KL, then:
NO = 1.84*9
NO = 16.6
Then the perimeter is:
P = 16.6 + 23 + 18.4
P = 58 units.
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Will mark brilliance
17. What is the value of y in ADEF?
D
7y +14
F
jo
9y+2
DE
Answer:
y = 6
Step-by-step explanation:
You want the value of y, given the sides of isosceles triangle DEF are marked as (7y +14) and (9y +2).
Isosceles triangleThe sides of an isosceles triangle are congruent, so we have ...
FD = FE
7y +14 = 9y +2
12 = 2y . . . . . . . . . . subtract 7y+2
6 = y . . . . . . . . . divide by 2
The value of y is 6.
__
Additional comment
We know this triangle is isosceles for a couple of reasons. One is that the altitude is a perpendicular bisector of the base. Another is that the two smaller triangles are congruent by the SAS (or LL) postulate, making FD = FE by CPCTC.
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