=======================================================
Explanation:
From the table, we see that g(1) = 0
Locate x = 1 in the first row. Then look straight down to see 0 in the g(x) row. That's why g(1) = 0.
This means f( g(1) ) = f( 0 ). I simply replaced g(1) with 0.
The last step is to evaluate f(0).
Locate 0 in the x row. Then look down to see 5 below it. Therefore, f(0) = 5.
Ultimately, f( g(1) ) = f(0) = 5
------------
In short: the input x = 1 leads to g(x) = 0. Then x = 0 is the input for f(x) which leads to 5.
Someone please answer ASAP thank you
Answer:
\(\huge\boxed{\sf 2}\)
Step-by-step explanation:
Since these triangles are similar, we'll use proportion to find the unknown side.
\(\sf \frac{25}{10} = \frac{5}{?}\)
Cross Multiply
\(\sf ? * 25 = 10*5\)
Divide 25 to both sides
\(\sf ? = 50/25\\\\? = 2\)
\(\rule[225]{225}{2}\)
Hope this helped!
~AnonymousHelper1807which term best describes a figure formed by three segments connecting three noncollinear points? A.Triangle,B. Vertex,C. Angle, D. Obtuse
Answer:
A figure formed by the segments determined by three noncollinear points . The three segments are called sides. The endpoints are called the vertices of the triangle. A triangle separates a plane into three parts, the triangle, its interior , and its exterior.
Step-by-step explanation:
anyone elses gym teacher play its raining tacos like the whole gym class? lol just me?
The number 5/7 can be best described as a(n) _____.
mixed number
improper fraction
proper fraction
Answer:
proper fraction
Step-by-step explanation:
Nope just yours l.ma0.
a small town in the UK has only 600 high school students. what is the largest possible sample you can take from this town and still be able to calculate the standard deviation of the sampling distribution of p-hat?
To calculate the standard deviation of the sampling distribution of p-hat, the answer will be 59 students.
By calculating,
600/10=60 and 59 students which is less than 10% of the population.
A sampling distribution, also known as a finite-sample distribution, in statistics is the probability distribution of a given random-sample-based statistic. The sampling distribution is the probability distribution of the values that the statistic takes on if an arbitrarily large number of samples, each involving multiple observations (data points), were used separately to compute one value of a statistic (such as, for example, the sample mean or sample variance) for each sample. Although only one sample is frequently observed, the theoretical sampling distribution can be determined.
Because they offer a significant simplification before drawing conclusions using statistics, sampling distributions are crucial in the field. They enable analytical decisions to be made based on the probability distribution of a statistic rather than the combined probability distribution of all the individual sample values
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Please help me with these two questions
The expression for area of the rectangles are obtained as x² + 10x + 21 and x² - 9x + 8 respectively. The correct options for both parts are (C) and (B) respectively.
What is an Algebraic expression?An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
The dimension of both the rectangles are given as,
First rectangle : (x + 3) and (x + 7)
Second rectangle : (x - 1) and (x - 8)
Since, the area of a rectangle is product of its dimensions.
It can be obtained as,
Area of first rectangle is given as,
⇒ (x + 3) × (x + 7)
⇒ x² + 10x + 21
Area of second rectangle is given as,
⇒ (x - 1) × (x - 8)
⇒ x² - 9x + 8
Hence, the area of both the rectangles are obtained as x² + 10x + 21 and x² - 9x + 8 respectively.
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evaluate ∫ √2 0 ∫ x 0 √x2 y2 dy dx ∫ 2 √2 ∫ √4−x2 0 √x2 y2 dy dx.
Evaluate the iterated integral by converting to polar coordinates.
The value of the iterated integral, evaluated by converting to polar coordinates, is √2/3.
What is integral?
An integral is a mathematical operation that calculates the area under a curve or the accumulation of a quantity over an interval. It is used to find the total value or the net change of a function and has applications in areas such as calculus, physics, and economics.
To convert the given integral to polar coordinates, we make the following substitutions:
x = rcosθ
y = rsinθ
dx dy = r dr dθ
The limits of integration also need to be adjusted accordingly. For the innermost integral, the limits become:
0 ≤ y ≤ √(x² - y²)
0 ≤ y ≤ √(r²cos²θ - r²sin²θ)
0 ≤ y ≤ r√(cos²θ - sin²θ)
0 ≤ y ≤ r√(cos²θ - (1 - cos²θ)) [Using the identity sin²θ = 1 - cos²θ]
0 ≤ y ≤ r√(2cos²θ - 1)
For the middle integral, the limits become:
0 ≤ x ≤ √x² + y²
0 ≤ x ≤ √(r²cos²θ + r²sin²θ)
0 ≤ x ≤ r
Finally, for the outermost integral, the limits are:
0 ≤ r ≤ √2
0 ≤ θ ≤ π/2
Now we can express the integral in polar coordinates:
∫ √2 0 ∫ x 0 √x²+y² dy dx = ∫ π/2 0 ∫ r 0 r√(2cos²θ - 1) r dr dθ
Simplifying the expression and integrating:
∫ π/2 0 ∫ r 0 r√(2cos²θ - 1) r dr dθ = ∫ π/2 0 ∫ r 0 r²√(2cos²θ - 1) dr dθ
Integrating the inner integral with respect to r:
∫ π/2 0 [1/3 r³√(2cos²θ - 1)] evaluated from 0 to r dθ
= ∫ π/2 0 (1/3 r³√(2cos²θ - 1) - 0) dθ
= ∫ π/2 0 (1/3 r³√(2cos²θ - 1)) dθ
Integrating the outer integral with respect to θ:
[1/3 r³√(2cos²θ - 1)] evaluated from π/2 to 0
= [1/3 r³√(2cos²(0) - 1)] - [1/3 r³√(2cos²(π/2) - 1)]
= [1/3 r³√(2 - 1)] - [1/3 r³√(0 - 1)]
= [1/3 r³] - [1/3 r³(-1)]
= [1/3 r³] + [1/3 r³]
= 2/3 r³
Now, substitute back r = √2:
2/3 (√2)³ = 2/3 (2√2)
= √2/3
Hence, the value of the given iterated integral, evaluated by converting to polar coordinates, is √2/3.
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A rectangular prism has a longth of 7 om, a width of 4 om, and a height of 2 om The prism is filled with cubes that have edge lengths or om How many cubes are needed to fill the rectangular prism? Enter your answer in the box To fill the rectangular prism, cubes are needed.
Answer:56
Step-by-step explanation:
I think cuz I multiplied 7x2x4
A coupon bond which pays interest of $60 annually, has a par value of $1,000, matures in 5 years, and is selling today at a $75.25 discount from par value. The current yield on this bond is:
A. 6.00%
B. 6.49%
C. 6.73%
D. 7.00%
The current yield on this bond is 6.49%.
A bond's yearly interest payment, market price, and par value must be known in order to determine the bond's current yield.
In this question, we are given that the bond pays an annual interest of $60, has a par value of $1,000, and is selling at a $75.25 discount from par value.
So, the market price of the bond is the par value minus the discount, which is \($ 1,000\) - \($75.25\) \(= $924.75.\)
To calculate the current yield, we use the formula:
Current Yield \(=\) (Annual Interest Payment / Current Market Price) x 100%
With our current values substituted, we obtain:
Current Yield \(= ($60 / $924.75) × 100%\)
Current Yield \(= 0.0649 × 100%\)
Current Yield \(= 6.49%\)%
Therefore, (B) 6.49% is the right response.
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what is the gcf of 20 and 24
Answer:
i believe it would be 4
Answer:
It's 4
Step-by-step explanation:
You decide to travel by car for your holiday visits this year. You leave early in the morning to avoid congestion on the roads This enables you to drive at a comfortable speed of v
1
=65.6mph for t
1
=2.84 hours. However, after this time, you inexpectedly come to a stop for t
stop
=33.6 min. Traffic starts moving again and you finish your travel at v
2
=56.2mphf additional t
2
=0.80 hours. There are 1609 meters in one mile. What was the total distance d traveled? d= What was the average speed
v
ˉ
?
v
ˉ
=
The total distance traveled, d, can be calculated by summing the distances covered during each phase of the journey.
First, we calculate the distance covered during the first phase of the journey, where the speed is v₁ = 65.6 mph for t₁ = 2.84 hours:
Distance₁ = v₁ * t₁
Since the speed is given in miles per hour, we need to convert the time to hours:
t₁ = 2.84 hours
Distance₁ = 65.6 mph * 2.84 hours
Next, we calculate the distance covered during the second phase, where the speed is v₂ = 56.2 mph for t₂ = 0.80 hours:
Distance₂ = v₂ * t₂
Distance₂ = 56.2 mph * 0.80 hours
Finally, we sum the distances covered in both phases to find the total distance:
d = Distance₁ + Distance₂
Now, let's calculate the average speed, v, for the entire journey. Average speed is defined as total distance divided by total time:
Total time = t₁ + t_stop + t₂
Note that the stoppage time, t_stop, needs to be converted from minutes to hours:
t_stop = 33.6 min / 60
Total time = 2.84 hours + t_stop + 0.80 hours
Average speed, v, is then:
v= d / (t₁ + t_stop + t₂)
The total distance, d, traveled is calculated by summing the distances covered in each phase of the journey. The average speed, v, is obtained by dividing the total distance by the total time taken for the entire journey.
To find the total distance traveled, we need to calculate the distances covered in each phase separately and then sum them up. In the first phase, the speed is given as 65.6 mph and the time is 2.84 hours. To find the distance covered, we multiply the speed by the time:
Distance₁ = 65.6 mph * 2.84 hours
In the second phase, the speed is 56.2 mph and the time is 0.80 hours:
Distance₂ = 56.2 mph * 0.80 hours
Now, we sum the distances covered in both phases:
d = Distance₁ + Distance₂
To find the average speed, we need to calculate the total time taken for the entire journey. This includes the time spent in the stoppage. The stoppage time is given as 33.6 minutes, so we need to convert it to hours by dividing by 60:
t_stop = 33.6 min / 60
The total time taken is the sum of the time in the first phase, stoppage time, and the time in the second phase:
Total time = t₁ + t_stop + t₂
Finally, we can calculate the average speed by dividing the total distance by the total time:
v= d / (t₁ + t_stop + t₂)
By calculating the above expressions, we can determine the total distance traveled and the average speed for the journey.
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a kid eat 5 sunscreen and sally eat seven sunscreen how much sunscreen was eat by both
Answer:
Both ate 12 sunscreens all together
5 + 7 = 12
Srsly tho, like who in their right mind eats sunscreen
If the smallest angle of rotation for a regular polygon is 18°, how many sides does polygon have?
Answer:
20
Step-by-step explanation:
360÷18=20
thus ,the polygon have 20 sides
Answer:
20
Step-by-step explanation:
A physicist needs 3,220 g of titanium to complete an experiment. She has 3 kg. How many more
kilograms of titanium does she need?
The physicist needs kg more.
(Type an integer or a decimal.)
Answer: 0.22kg
Step-by-step explanation:
if she has 3 kg then she has 3000 g. 3220-3000=220 So she needs 220 more grams of titanium. If she needs to convert how much more from grams to kilograms then 220g= 0.22kg so she needs 0.22 kg more
To check work
3kg+0.22kg= 3.22kg
3.22kg= 3,220g
5+(3×n)=5
Which value of n makes the number sentence true?
1
0
−3
−5
Answer:
0 makes the statement true.
explanation:
5+(3×n)=5
5 + 3n = 5
3n = 5 - 5
3n = 0
n = 0
check:
5+(3×0) = 5
5 + 0 = 5
5 = 5
Both sides equal, therefore statement true.
Select the correct answer.
What is the simplified form of this expression?
(5x²+2x+11)-(7+4x-2X)
OA 3X²-2x+4
OB. 9-2X-2x²
OC 7x-2x+4
D. 3x² +6X+4
Please help i have eman. I will mark brainlist
Answer:
C
Step-by-step explanation:
Given m<12= 121 and m<6= 75, find the measure of each missing angle.
Answer/Step-by-step explanation:
Given:
m<12 = 121°
m<6 = 75°
a. m<1 = m<6 (vertical angles)
m<1 = 75° (substitution)
b. m<12 = m<1 + m2 (alternate exterior angles)
121° = 75° + m<2 (substitution)
121° - 75° = m<2 (subtraction property of equality)
46° = m<2
m<2 = 46°
c. m<1 + m<2 + m<3 = 180° (angles on a straight line)
75° + 46° + m<3 = 180° (substitution)
121° + m<3 = 180°
m<3 = 180° - 121° (subtraction property of equality)
m<3 = 59°
d. m<4 = m<3 (vertical angles)
m<4 = 59° (substitution)
e. m<5 + m<4 + m<6 = 180° (angles on a straight line)
m<5 + 59° + 75° = 180° (substitution)
m<5 + 134° = 180°
m<5 = 180° - 134° (Subtraction property of equality)
m<5 = 46°
f. m<7 = m<12 (vertical angles)
m<7 = 121° (substitution)
g. m<8 = m<4 (vertical angles)
m<8 = 59° (substitution)
h. m<9 = m<6 (Alternate Interior Angles)
m<9 = 75° (substitution)
i. m<10 + m<9 = 180° (Linear Pair)
m<10 + 75° = 180° (substitution)
m<10 = 180° - 75° (Subtraction property of equality)
m<10 = 105°
j. m<11 = m<8 (vertical angles)
m<11 = 59° (substitution)
k. m<13 = m<10 (vertical angles)
m<13 = 105° (substitution)
l. m<14 = m<9 (vertical angles)
m<14 = 75° (substitution)
Write a polynomial function f of least degree that has real coefficients, a leading coefficient of1 and the following zeros: -3 and 4i
Let the polynomial function be f(x)
Given that f(x) has two zeroes -3 and 4i
Then, f(x) can be written as
f(x)=[x-(-3)](x-4i)
On multiplying,
f(x)=(x+3)(x-4i)
=x^2+(3-4i)x-12i
The leading coefficient is 1 and the roots are -3 and 4i
∆ABC was transformed according to the rule (x, y) → (−x, y) to create ∆A'B'C'. What transformation justifies the relationship between the triangles?
A 90° rotation around the origin characterised the transition.
What is the transformational rule?A logical principle that specifies the circumstances in which one assertion can be legitimately inferred from one or more other statements, particularly in codified languages.
What transformation does the rule x y → − x − y?(x, y)(x, y) is the formula for a reflection over the x-axis.
Triangle ABC was changed utilizing the (x, y) rule (–y, x). The triangles' vertices are displayed. A (–1, 1) B (1, 1) C (1, 4) (1, 4) A' (–1, –1) (–1, –1) B' (–1, 1) C' (–4, 1) (–4, 1) Which phrase best sums up the change? A 90° rotation around the origin characterised the transition. A 180° rotation of the origin occurred during the transformation. The transformation was a 270° rotation about the origin. The transformation was a 360° rotation about the origin.
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Answer: A reflection over the y-axis justifies ∆ABC ≅ ∆A'B'C'.
Step-by-step explanation: Took the test, no thanks neeeded :)
The relationship between the value y (in dollars) of a car and its age x (in years)
is estimated from a random sample of cars. An equation that models this
relationship is y=23,100−1,273x . Based on this model, which of the following
statements is true?
Answer:
it C
Step-by-step explanation:
The Front and Back sides are both triangles. Explain why he isnt going to divide the base x height by 2.
Answer:
is it to late now??
Step-by-step explanation:
Please i need the correct answer, no funny business.
Answer:
Age of the spear head = 6349 years.
Step-by-step explanation:
Expression to be used to calculate the age of the spear head,
\(N_t=N_0e^{-kt}\)
Here, \(N_t\) = Final amount of C-14
\(N_0\) = Initial amount
\(k\) = 0.0001
\(t\) = Time in years
If \(N_t\) = 53% of \(N_0\) = \(N_0\times (0.53)\)
\(0.53N_0=N_0e^{-0.0001\times t}\)
\(0.53=e^{-0.0001t}\)
\(\text{ln}(0.53)=\text{ln}(e^{-0.0001t})\)
\(-0.634878=(-0.0001)t\)
\(t=6348.78\) years
\(t\) ≈ \(6349\) years
Therefore, age of the spear head = 6349 years.
the quotient of sixteen and a number
Answer:
The difference of 16 and a number The quotient of 16 and a number A number divided by 16 Negative 16 divided by a number The quotient of a number and 16 Translating the algebraic expression 16/n: The quotient of –16 and a number; Negative 16 divided by a number.
Step-by-step explanation:
hope this helps..
what is the value of x? enter your answer in the box
Answer:
I'm not 100% positive that my answer is remotley correct but I would say 25.
Step-by-step explanation:
and if that is you in your profile pic, you are very pretty.
I hope my answer helps!
PLZ HELP ASAP I NEED YOU HELP PLZ 20 POINTS PLZ HELP ASAP
A right triangle has an area of 33 m2 and a height of 11 mm. How long is the base of the triangle?
Question 4 options:
66 nn
6 mm
55 mm
9.4 mm
9514 1404 393
Answer:
(b) 6 mm
Step-by-step explanation:
Fill in the numbers in the area formula and solve for the base length.
A = 1/2bh
b = 2A/h = 2(33 mm²)/(11 mm)
b = 6 mm
The base of the triangle is 6 mm.
i dont really kno what to do.
Answer:
Step-by-step explanation:
rearrange the equation to the letter on the left side until you find an equation equal to one of the answers
2. A fish tank that holds 80 gallons of water is 55% full. Create a line diagram (like the one
above) to represent this situation.
a. How many gallons are in the tank now? How many more gallons are needed to
fill the tank?
The tank currently contains 44 gallons of water, and 36 more gallons are needed to fill it completely.
How to calculate many more gallons are needed to fill the tanka. The fish tank that holds 80 gallons of water is 55% full, which means it contains:
44 gallons = 80 gallons × 0.55
b. To find out how many more gallons are needed to fill the tank, we can subtract the current amount of water in the tank from its full capacity:
80 gallons - 44 gallons = 36 gallons
Therefore, the tank currently contains 44 gallons of water, and 36 more gallons are needed to fill it completely.
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Loch ness is the largest lake in Scotland.
The lake has a volume of water of 7.45x10^9 m^3.
The volume of water in Lake Superior is k times the volume of water in Loch ness.
Lake Superior = 8.21x10^10
Work out the value of k.
Give your answer correct to 3 significant figures.
Answer:
11.020
Step-by-step explanation:
vol of l.supe = k(lochness)
88.21 * 10^10 = k( 7.45 * 10^9)
divide and k =11.020
in fraction = 1642/149
HELP EASY BRAINLIEST
Find the surface area of the prism.
Answer: 136 m
hope this helped :)