Answer:$352.16
Im in a rush so cant add explaination
How do you completely factor 2x^3 + 16y^3
Let h(x)=xg(x), where g(x)=the inverse of f(x). Find h'(5) using the chart.....(type that in a minute) ...?
Which expressions are equivalent to the one below? Check all that apply.
3^x
Answer:
All of the answers in the picture provided are correct
Step-by-step explanation:
When is substitution a useful method for solving systems of equations?
Farmer Ed has 7000 meters of fencing and wants to enclose a rectangular plot that borders on a river. If farmer Ed does not fence the side along the river, what is the largest are that can be enclosed? ...?
Let
x--------> the length side of the rectangular plot (assume side along the river)
y------> the width side of the rectangular plot
we know that
the perimeter of the rectangular plot is equal to
[tex]P=x+2y[/tex]
[tex]P=7,000\ m[/tex]
so
[tex]7,000=x+2y[/tex]
Clear variable y
[tex]y=(7,000-x)/2[/tex] -------> equation [tex]1[/tex]
The area of the rectangular plot is
[tex]A=x*y[/tex] ------> equation [tex]2[/tex]
substitute equation [tex]1[/tex] in equation [tex]2[/tex]
[tex]A=x*[(7,000-x)/2][/tex]
[tex]A=x*[(7,000-x)/2]\\\\ A=3,500x-0.5x^{2}[/tex]
we know that
To find the larger area that can be enclosed------> Find the vertex of the quadratic equation
The quadratic equation is a vertical parabola open down
so
the vertex is a maximum
using a graphing tool
see the attached figure
the vertex is the point [tex](3,500,6,125,000)[/tex]
that means
For [tex]x=3,500\ m[/tex]
the largest area is [tex]6,125,000\ m^{2}[/tex]
Find the value of y
[tex]y=(7,000-3,500)/2=1,750\ m[/tex]
the dimensions of the rectangular plot are
[tex]Length=3,500\ m\\Width=1,750\ m[/tex]
therefore
the answer is
The largest area that can be enclosed is [tex]6,125,000\ m^{2}[/tex]
In ΔABC shown below, ∠BAC is congruent to ∠BCA:
Triangle ABC, where angles A and C are congruent
Given: Base ∠BAC and ∠ACB are congruent.
Prove: ΔABC is an isosceles triangle.
When completed (fill in the blanks), the following paragraph proves that Line segment AB is congruent to Line segment BC making ΔABC an isosceles triangle.
Construct a perpendicular bisector from point B to Line segment AC.
Label the point of intersection between this perpendicular bisector and Line segment AC as point D:
m∠BDA and m∠BDC is 90° by the definition of a perpendicular bisector.
∠BDA is congruent to ∠BDC by the definition of congruent angles.
Line segment AD is congruent to Line segment DC of a perpendicular bisector.
ΔBAD is congruent to ΔBCD by_____1_______.
Line segment AB is congruent to Line segment BC because____2_____.
Consequently, ΔABC is isosceles by definition of an isosceles triangle.
Refer to the image attached.
Given: [tex]\angle BAC[/tex] and [tex]\angle ACB[/tex] are congruent.
To Prove: [tex]\Delta[/tex]ABC is an isosceles triangle.
Construction: Construct a perpendicular bisector from point B to Line segment AC.
Consider triangle BAD and BCD,
[tex]\angle BAC = \angle ACB[/tex] (given)
[tex]\angle BDA = \angle BDC = 90^\circ[/tex]
(By the definition of a perpendicular bisector)
[tex]AD=DC[/tex] (By the definition of a perpendicular bisector)
Therefore, [tex]\Delta ABD \cong \Delta BDC[/tex] by Angle Side Angle(ASA) Postulate.
Line segment AB is congruent to Line segment BC because corresponding parts of congruent triangles are congruent.(CPCTC)
Final answer:
By constructing a perpendicular bisector from B to AC in triangle ABC, we use the RHS Congruence rule and CPCTC to prove that AB is congruent to BC, thus showing that triangle ABC is isosceles.
Explanation:
To prove that ∆ABC is an isosceles triangle because base ∠BAC and ∠ACB are congruent, we start by constructing a perpendicular bisector from point B to line segment AC and labeling the intersection as point D. By definition, m∠BDA and m∠BDC are 90°, and ∠BDA is congruent to ∠BDC. Also, AD is congruent to DC because D is the midpoint of AC. Therefore, using the Right Angle Hypotenuse Side (RHS) Congruence rule, ∆BAD is congruent to ∆BCD, as they have a right angle, a congruent side (BD), and another congruent side (AD = DC).
Since the triangles ∆BAD and ∆BCD are congruent, it follows that line segment AB is congruent to line segment BC, by Corresponding Parts of Congruent Triangles are Congruent (CPCTC). Therefore, by the definition of an isosceles triangle, which states that at least two sides are congruent, ∆ABC is isosceles.
What are the x and y intercept of (0,0), (10,106), (15,159), (20,212), (30, 318) ?
if p= 1/3 what is the answer to 9p2=
When p equals 1/3, 9p^2 calculates to 1 after squaring p and multiplying by 9.
The question involves calculating the expression 9p^2 given that p = 1/3. First, we square the value of 'p' and then multiply it by 9. Following the process, we have:
[tex](\frac{1}{3} )^2 = \frac{1}{9} \\9 \times (\frac{1}{9} ) = 1[/tex]
Therefore, 9p^2 is equal to 1 when p is equal to 1/3.
Which of the following has no solution?
{x | x < 0} and {x | x > 0}
{x | x ≤ 0} and {x | x ≥ 0}
{x | x ≤ 0} or {x | x ≥ 0}
The pair of sets, {x | x < 0} and {x | x > 0}, has no solution because no number can be simultaneously less than zero and greater than zero. The other pairs do have solutions as they include the number zero.
Explanation:The set of mathematical expressions provided in the question represent intervals along the number line. Understanding which intervals overlap and which intervals don't is the key to comprehending which of these options potentially has a solution. To consider when these sets will have no solution, you must find where no numbers exist that can satisfy both conditions simultaneously.
The first pair, {x | x < 0} and {x | x > 0}, means 'the set of all x such that x is less than 0' and 'the set of all x such that x is greater than 0'. Because no number can be both less than zero and greater than zero at the same time, this pair has no solution.
The other pairs, {x | x ≤ 0} and {x | x ≥ 0} and {x | x ≤ 0} or {x | x ≥ 0} do have solutions because they both include 0 itself, so there are numbers that can satisfy both conditions.
Learn more about Intervals here:https://brainly.com/question/34520204
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Samantha had 7/8 of a yard of ribbon. She used 1/6 of a yard for a bow. How much ribbon does Samantha have left?
Add.
(3x4 – 2x3 + 1) + (12x4 + x2 – 11)
Answer
15x4 – 2x3 + x2 + 10
15x4 – x3 – 10
15x4 – x2 – 10
15x4 – 2x3 + x2 – 10
...?
When making a statistical inference about the mean of a normally distributed population based on a sample drawn from that population, which of the following statements is correct, all else being equal?
The 68% confidence interval is wider than the 90% confidence interval.
The 90% confidence interval is narrower than the 95% confidence interval.
The 90% confidence interval is wider than the 99% confidence interval.
The 99% confidence interval is narrower than the 68% confidence interval
Which word phrase represents this expression?
g + 24
A.the sum of g and 24
B.the sum of g and 26
C.the difference of 24 and some g
D. the difference of g and 24
freddy is searching for a shirt and discovers that he has 12 shirts for every 6 pair of jeans. If he has 18 shirts, how many pairs of jeans does he have?
Answer:
9 pairs of jeans
Step-by-step explanation:
there are 2 times as many shirts as jeans, and 18 divided by 2=9
Write 0.4375 as a fraction in simplest form.
Answer: 7/16
Step-by-step explanation:
because if you do long division your answer is
16 ) 7.0000 ( 0.4375
-64
60
-48
120
-112
80
-80
0
wich is is = 0.4375
You have a gift card for your favorite clothing store for the amount of $60. You have found a shirt you want for $15. You don't want to spend more than the amount of the gift card, which of the following inequalities could be used to determine the amount you have left to spend?
x+15 is greater than or equal to 60
x-15 is greater than or equal to 60
x+15 is less than or equal to 60
x-15 is less than or equal to 60
Let
x--------> the amount you have left to spend
y--------> the cost of a shirt you want
z------> the amount of the gift card
we know that
[tex] x+y \leq z [/tex] --------> equation [tex] 1 [/tex]
[tex] y=\$ 15 [/tex] --------> equation [tex] 2 [/tex]
[tex] z=\$ 60 [/tex] --------> equation [tex] 3 [/tex]
Substitute the equation [tex] 2 [/tex] and equation [tex] 3 in the equation [tex] 1 [/tex] [/tex]
[tex] x+y \leq z [/tex]
[tex] x+15 \leq 60 [/tex]
therefore
the answer is the option
x+15 is less than or equal to 60
Factor
h^2-4k^2+4h-8k
The cone pictured has a surface area of ______ square centimeters. (Use 3.14 for π.)
Write an equation of the line passing through(-3,-14),(1,-2)
Which quadratic function has a leading coefficient of 2 and a constant term of –3?
f(x) = 2x3 – 3
f(x) = –3x2 – 3x + 2
f(x) = –3x3 + 2
f(x) = 2x2 + 3x – 3
Which is the graph of the linear inequality y < 3x + 1?
Answer:
Graph is attached below
Step-by-step explanation:
[tex]y < 3x + 1[/tex]
To graph the inequality , we replace < symbol by = sign
[tex]y=3x + 1[/tex]
Now we graph the given equation by making a table
x y=3x+1
-1 -2
0 1
1 4
Graph all the points (-1,-2) (0,1) (1,4) and make a line
Now we do shading using test point (0,0)
[tex]0< 3(0) + 1[/tex]
[tex]0<1[/tex] True
So we shade the region that has test point (0,0)
the graph is attached below
Write 46 over 15 as a decimal rounded to the nearest hundredth
Set up a proportion and use cross multiplication to solve.
15 is ________% of 60.
Answer:
25% Hope It Help's :)
Step-by-step explanation:
Solve Equation
x^2 -4x +8 = 0
what is equivalent to 4/6
how to integrate arctan 3x.dx ...?
Sandy walks 26 miles in a month. how many miles will she have walked in 2 years
Final answer:
Sandy walks 312 miles in a year, so over 2 years, she would walk 624 miles. As a reference point, a marathon runner with an average speed of 9.5 mi/h would take approximately 2.76 hours to run a 26.22 mi marathon.
Explanation:
To calculate how many miles Sandy will walk in 2 years, we must first determine how many miles she walks in one year and then multiply that by 2 since there are two years. Sandy walks 26 miles in a month. Therefore, to find out how many miles she walks in a year, we use the following steps:
Multiply the monthly miles by the number of months in a year (26 miles per month * 12 months = 312 miles).
To find out the mileage for 2 years, multiply the yearly mileage by the number of years (312 miles per year * 2 years = 624 miles).
Therefore, Sandy will have walked 624 miles in 2 years.
If a marathon runner averages 9.5 mi/h, the calculation to determine how long it takes him or her to run a 26.22 mi marathon is as follows:
Divide the marathon distance by the average speed (26.22 mi / 9.5 mi/h).
The result gives us approximately 2.76 hours, which is the time it takes to complete the marathon
11-8 The Choi Company's next expected dividend, D1, is $3.18; its growth rate is 6 percent; and its stock currently sells for $36. New stock can be sold to net the firm $32.4 per share.
a. What is Choi's percentage flotation cost, F?
b. What is Choi's cost of new common stock, Re ?
Choi's percentage flotation cost is 10%, and the cost of new common stock is 15.81%, calculated using the difference in current stock price and net price per share for the flotation cost, and the dividend discount model for the cost of new common stock.
Explanation:Calculating Choi's Flotation Cost and Cost of New Common Stock
The percentage flotation cost of Choi Company's new stock is 90.28% and the cost of new common stock is 15.94%.
To calculate Choi's percentage flotation cost (F), we start by looking at the difference between the price the stock currently sells for and the net amount the firm receives when selling new stock. The current stock price is $36, and the firm can net $32.4 per share from selling new stock, so the flotation cost per share is $36 - $32.4 = $3.6 per share. To find the percentage flotation cost, we divide this amount by the market price of the stock:
F = Flotation cost per share / Current stock price = $3.6 / $36 = 0.10 or 10%
Next, to calculate Choi's cost of new common stock (Re), we use the dividend discount model (DDM), which claims that the price of a stock is the present value of all future dividends. The expected dividend, D1, is $3.18 and the growth rate, g, is 6%. The cost of new common stock, taking into account the flotation cost, is calculated using the formula:
Re = (D1 / Net price per share) + g = ($3.18 / $32.4) + 0.06 = 0.0981 + 0.06 = 0.1581 or 15.81%
the principal will randomly choose 6 students from a large school to represent the school in a newspaper photograph. the probability that a chose student is an athlete is 30%. (assume that this doesn't change) What is the probability that 4 athletes are chosen? ...?
To find the probability of choosing exactly 4 athletes from 6 students when the chance of any student being an athlete is 30%, we use the binomial probability formula considering a fixed number of trials, a binary outcome, a constant probability, and independent trials.
Explanation:The question asks about the probability of choosing 4 athletes out of 6 students from a school, given that each student has a 30% chance of being an athlete. We can treat this as a binomial probability problem because we have a fixed number of trials (six students chosen), two possible outcomes (athlete or not), a constant probability of success (30% chance the student is an athlete), and independence between trials.
To calculate the probability of exactly 4 athletes being chosen, we use the binomial probability formula:
P(X = k) = C(n, k) * [tex]p^k[/tex] * [tex](1-p)^(n-k)[/tex]
Where:
n is the number of trials (6 students)k is the number of successful trials (4 athletes)p is the probability of success on a single trial (30% or 0.3)C(n, k) is the combination of n items taken k at a timeUsing these values, we find the probability that 4 out of 6 students chosen are athletes.
why wouldn't the man stand in line to step on the scale ?
answer ?
The man wouldn't stand in line to step on the scale because the scale measures weight, not mass. When you stand on a bathroom scale, it measures the force exerted on it due to your weight. Weight is the force of gravity acting on an object, while mass is the amount of matter in an object.
Explanation:The man wouldn't stand in line to step on the scale because the scale measures weight, not mass. When you stand on a bathroom scale, it measures the force exerted on it due to your weight. Weight is the force of gravity acting on an object, while mass is the amount of matter in an object. So, if the man were on the Moon or in an elevator accelerating, the scale reading would be different because the force of gravity on him would be different, but his mass would remain the same.