Answer:
\( - \frac{3}{4} n + \frac{3}{8} \)
Step-by-step explanation:
\( \frac{1}{4} ( - 3n + \frac{3}{.2} \)
1/4multiply both -3n and 3/2
Solve this im stuck please solve!
Write a polynomial function that has a leading coefficient of 1, and the given zeros
at 3, 5, and -i.
9514 1400 393
Answer:
p(x) = x^4 -8x^3 +16x^2 -8x +15
Step-by-step explanation:
Assuming you want real coefficients, the imaginary root means its conjugate is also a root. In factored form, the polynomial is ...
p(x) = (x -3)(x -5)(x -i)(x +i) = (x^2 -8x +15)(x^2 +1)
p(x) = x^4 -8x^3 +16x^2 -8x +15
which of the following tables can be generated from the equation y equals 2x + 1
Answer: 2 the first one
Step-by-step explanation:
Answer: the first one
Step-by-step explanation:
If 1 loaf of bread is cut into slices, and each slice is 1/2 of a loaf. How many slices are there?
Answer:
2
Step-by-step explanation:
Because if you have 1 cut it in half that’s 2 slices
There are 2 slices in the loaf.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Number of loaf = 1
Amount of loaf in each slice = 1/2
The number of slices.
= 1 ÷ 1/2
= 1 x 2/1
= 1 x 2
= 2
Thus,
The number of slices is 2.
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What kind of multi step do I have to do to prove a is parallel to b and m parallel to n.
The proof that line n is perpendicular to both a and b is proved below using definition of right angle and perpendicular transversal theorem.
How to prove Perpendicular and Parallel Lines?
We are given that;
Line a is parallel to line b
Line m is parallel to line n.
A) We want to prove that line a is perpendicular to n.
From the image, we see that there is a right angle sign on the opposite side of ∠1 facing m.
Now, we know that by definition of a right angle that ∠1 will also be a right angle.
Since angle 1 is a right angle, then we can say the line transversal a is perpendicular to line m.
B) We want to prove that line b is perpendicular to n.
The definition of the perpendicular transversal theorem, states that if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other.
Thus, b will be perpendicular to n.
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One of the legs of right triangle measures 16 cm and the other leg measures 2 cm.
round to the nearest tenth.
Find the measure of the hypotenuse. If necessary, round
Answer:
16.1 cm (nearest tenth)
Step-by-step explanation:
Pythagoras’ Theorem
\(a^2+b^2=c^2\)
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
a = 16 cmb = 2 cmSubstitute the given values into the formula and solve for c:
\(\implies 16^2+2^2=c^2\)
\(\implies 256+4=c^2\)
\(\implies c^2=260\)
\(\implies c=\sqrt{260}\)
\(\implies c=2\sqrt{65}\)
\(\implies c=16.1 \sf \: cm\:(nearest\:tenth)\)
16.1 is rounded to the nearest tenth
the diameter of a circle is 18in find its area to the nearest tenth
Answer:
approximately 254.5
btw area of circle= pi multiplied by radius
Step-by-step explanation: I got you bro
Answer: Circle area = π * r² = π * 81 [inch²] ≈ 254.47 [in²]
but because it asks for nearest tenth
254.5 in²
this is your real answer
A restaurant customer left $0.70 as a tip. The tax was 5% and the tip was 10% of the cost including tax. a. What piece of information is not needed to compute the bill after tax and tip? b. What was the total bill? a. What information is not needed to solve this problem? OA. The customer left a 10% tip. B. The tax was 5%. OC. The customer left $0.70 as a tip. O D. All of this information is needed to solve the problem. b. The total bill is...
Answer:
1-a. The tax was 5%
b. The total bill is 7$
Step-by-step explanation:
a. We need the 10% tip of bill after tip and tax to get bill.
b. 0.7 = 10%
x = 100% (x is total bill)
x = (0.7*1)/0.1 (divide percentage by 100)
= 0.7/0.1
= 7
What is the area of a circle with a diameter of 37 inches?
in²
(Use 3.14 for Pi.)
Answer:
1073.45 in²
Step-by-step explanation:
What is the area?The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.
What is the diameter?Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.
The equation to solve for the area of a circle is:
π × \(r^{2}\) = Area of a circleBut wait, we don't have a radius to fix in the equation! Well to solve for the radius when given diameter, we can use the expression:
diameter ÷ 2 = radiusNow that we know this, we can insert 37 in for the diameter:
37 ÷ 2 = 18.5So, the radius of the circle is 18.5 inches.
Inserting 18.5 into the expression for the radius:
π × \(18.5^{2}\) =Using 3.14 for pi:
3.14 × \(18.5^{2}\) = 1073.45 in²Therefore, the area of a circle with a diameter of 37 inches is 1073.45 in².
i literally don’t understand any of this
According to the information, he quadratic function's equation is f(x) = (47/13)x^2 + (89/13)x + 198/13 in standard form.
How to find the quadratic function's equation?To find the quadratic function's equation, we need to use the given points from the table and solve for the coefficients a, b, and c in the standard form of a quadratic function, f(x) = ax^2 + bx + c.
Using the point (-7, 209):
209 = a(-7)^2 + b(-7) + c
Using the point (-5, 113):
113 = a(-5)^2 + b(-5) + c
Using the point (-2, 29):
29 = a(-2)^2 + b(-2) + c
Now we have three equations with three variables. We can solve for a, b, and c using a system of linear equations. First, simplify each equation:
49a - 7b + c = 209
25a - 5b + c = 113
4a - 2b + c = 29
Then, we can solve for b in terms of a and substitute in the other equations to eliminate b:
b = 7a + c/7 - 29/7
Substituting into the second equation:
25a - 5(7a + c/7 - 29/7) + c = 113
Simplifying:
10a + c = 80
Substituting into the third equation:
4a - 2(7a + c/7 - 29/7) + c = 29
Simplifying:
-3a + c = 33
Now we have two equations with two variables. We can solve for c in terms of a and substitute back into one of the previous equations to solve for a:
c = 3a + 33
Substituting into the second equation:
10a + (3a + 33) = 80
Simplifying:
13a = 47
a = 47/13
Now we can substitute a back into one of the previous equations to solve for c:
c = 3(47/13) + 33 = 198/13
Finally, we can substitute a and c into the standard form of a quadratic function:
f(x) = (47/13)x^2 + (7(47/13) - 198/13)x + 198/13
Simplifying:
f(x) = (47/13)x^2 + (89/13)x + 198/13
Therefore, the quadratic function's equation is f(x) = (47/13)x^2 + (89/13)x + 198/13 in standard form.
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STEM The table shows the relationship between the mass m and the force w of weights on the ground. Write an equation representing this relationship. Force
(newtons) Mass (kilograms) 9.8 1 19.6 2 29.4 3 39.2 4
Answer:
Below
Step-by-step explanation:
F= 9.81 m From the 'table' Where F = Newtons and m = kg mass
Solves problems 1, and 2.
I WILL CROWN THEE BRAINLIEST IF YOU ANSWER CORRECTLY
Answer: 6 nickels 19 dimes
Step-by-step explanation: none
Estimate 62% of 196.
A. 80
B. 100
C. 120
O D. 140
HURRY PLEASE
Answer:
The answer is C: 120
Step-by-step explanation:
Ok so to solve this, you need to know that when "of" is in an equation, it always means multiply.
So 62% of 196 = 62% * 196.
62% * 196 = 121.52
Then you need to round 121.52 to the nearest option, which is Option C: 120.
Good luck on your assignment (or whatever this is)!! Have a nice day!!
Match each step with the correct ordered description for how to construct a copy of an angle. (There are 10 steps)
A ray from the vertex of the angle through the point where the two arcs intersect. This ray is a copy of the original angle.
The steps for constructing a copy of an angle:
Step 1: Draw the angle.
Step 2: Place the center of the protractor on the vertex of the angle.
Step 3: Line up the baseline of the protractor with one of the angle's rays.
Step 4: Read the degree measure where the other ray crosses the protractor.
Step 5: Draw a ray from the vertex of the angle to the right.
Step 6: Use a ruler to mark the same distance on the ray that was just drawn.
Step 7: Draw a ray from the vertex through the point just marked on the ray.
This is the copy of the angle's second ray.
Step 8: Use a compass to draw an arc centered at the vertex of the original angle that passes through one of the angle's rays.
Step 9: Without adjusting the compass, draw another arc that intersects the previous arc at a point.
Step 10: Draw a ray from the vertex through the point where the two arcs intersect.
This is the copy of the original angle.
Using a compass, draw an arc centered on the vertex of the original angle passing through one of the angle rays. Place the tip of the
compass on the vertex of the original angle and draw an arc that intersects one of the angle rays.
Draws another arc that intersects the previous arc at a point without adjusting the compass.
Draw a second arc that intersects the first arc at another point, keeping the compass latitude.
Using a ruler or ruler, draw a ray from the vertex of the angle through the point where the two arcs intersect. This ray is a copy of the original angle.
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!!!!!!! Why isn't A the correct answer? I am having trouble to reason why A is wrong so please help if can!
Answer:
d. x = -3
Step-by-step explanation:
\(\sqrt{(x + 3)}\)÷ (x+8)(x-2) = 0
f(x) / g(x) = 0
Variable x cannot be equal to any of the values −8,2 since division by zero is not defined. Multiply both sides of the equation by (x−2)(x+8).
\(\sqrt{(x + 3)}\) = 0 ------ square both sides
x + 3 = 0
solve for x:
x = -3
List all possible roots for the polynomial:
4x^6-4x^4+3x^3-2x+6
Answer:
No real rootsStep-by-step explanation:
One of the solutions is to graph it and get coordinates of its intersection with the x- axis.
See the graph attached below.
As you see the entire graph is above the x-axis. It means there are no real roots.
Use graphical method
y=4x⁶-4x⁴+3x³-2x+6
Graph attached
As there is no x intercepts,no real zeros
Pls help me with this
Answer:
f(X)=2x is the correct answer
An electric company calculates a person's monthly bill from the number of
kilowatt-hours (kWh), x, used.
The function
b(c)
{
0.102,
X is greater than or equal to 200
0.15(x – 200) + 20, 2 > 200
determines the
bill.
How much is the bill for a person who uses 400 kWh in a month?
Answer:
The bill is $30
Step-by-step explanation:
Given
\(b(x) = \left \{ {{0.10x,\ x \le 200} \atop {0.15(x - 200)\ x > 200}} \right.\)
See attachment
Required
Determine the bill when KWh = 400
From the given piece-wise function.
We make use of:
\(b(x) = 0.15(x - 200)\)
Because \(400 > 200\)
Substitute 400 for x in b(x)
\(b(400) = 0.15 * (400 - 200)\)
\(b(400) = 0.15 * 200\\\)
\(b(400) = 30\)
The bill is $30
Answer:
D. $80 apeggs
Step-by-step explanation:
Shen the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday there were clients who did Plan A and who did Plan B. On Thursday there were clients who did Plan A and who did Plan B. Shen trained his Wednesday clients for a total of hours and his Thursday clients for a total of hours. How long does each of the workout plans last?
The length of time that it will take for each of the workout sessions would be: Plan A = 1.5 hours, and Plan B = 0.5 hours.
What would be the length of the sessions?The length of the sessions can be obtained by first obtaining drawing a system of equations for the two cases. On Wednesday, we can represent the sessions as follows:
2A + 12B = 9 hours
On Thursday, we would have
5A + 3B = 9 hours
2A + 12B = 9 Eqn 1
5A + 3B = 9 Eqn 2
Multiply equation 2 by -4
2A + 12B = 9
-20A - 12B = -36
2A - 20A = 9 -36
-18A = -27
Divide both sides by -18
A = 1.5 hours
For B, substitute A in the first equation
2(1.5) + 12B = 9
3 + 12B = 9
12B = 9 - 3
12B = 6
Divide both sides by 12
B = 0.5
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Complete Question:
Ann the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday there were 2 clients who did Plan A and 12 who did Plan B. On Thursday there were 5 clients who did Plan A and 3 who did Plan B. Ann trained her Wednesday clients for a total of 9 hours and her Thursday clients for a total of 9 hours. How long does each of the workout plans last?
Shahril bought a CD, 2 T-shirts and a pair of jeans for $133. Each
T-shirt cost $13 more than the CD. The pair of jeans cost $30 more
than each T-shirt. Find the cost of the CD.
Step-by-step explanation:
Let the price of CD, tshirt and jeans be x,y and z respectively.
given:
x+2y+2z=133......(i)
y=x+13.......(ii)
2z=y+30....(iii)
in eqn (iii) ,
2z=y+30
or, 2z=x+13+30
or, z=(x+43)/2....(iv)
now in eqn (i),
x+2y+2z=133
or, x+2(x+13)+2((x+43)/2) =133
or, x+2x+26+x+43=133
or, 4x=133-69
or, x= 64/4
•°• x=$16
why universal class includes proper class (a class that is not a set)?
The universal class is considered a proper class because it contains all sets but cannot itself be treated as a set due to the limitations imposed by set theory. Recognizing it as a proper class ensures the consistency and avoids the paradoxes that would arise if it were treated as a set.
In set theory, classes are collections of objects that share a common property or satisfy a specific condition. A proper class is a class that is not a set, meaning it cannot be treated as an object within the theory of sets. One example of a proper class is the universal class, denoted as "V" in Von Neumann–Bernays–Gödel set theory (NBG) or "U" in Morse–Kelley set theory (MK).
The universal class is defined as the class that contains all sets. It encompasses every possible set that can be constructed within the theory of sets. It is important to note that the universal class itself is not considered a set because it would lead to logical inconsistencies and paradoxes, such as Russell's paradox.
To understand why the universal class is considered a proper class, we need to delve into the foundations of set theory. In most set theories, including Zermelo-Fraenkel set theory (ZF), which is the most commonly used, there is a principle called the limitation of size. This principle ensures that only sets of a certain size can be considered objects within the theory.
The limitation of size prevents the universal class from being considered a set because it would violate the size restrictions. If the universal class were a set, it would contain itself as an element, leading to the well-known Russell's paradox. Russell's paradox arises from the assumption that there exists a set of all sets that do not contain themselves as elements. If the universal class were a set, it would both contain and not contain itself, creating a contradiction.
To avoid such paradoxes and maintain consistency within set theory, the universal class is treated as a proper class. This means that it is not regarded as an object that can be manipulated or operated upon like a set. Instead, it serves as a collection that encompasses all sets, acting as a foundational concept within set theory.
In summary, the universal class is considered a proper class because it contains all sets but cannot itself be treated as a set due to the limitations imposed by set theory. Recognizing it as a proper class ensures the consistency and avoids the paradoxes that would arise if it were treated as a set.
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Which equation represents an exponential function with an initial value of 500?
Answer:
An exponential function is written in the form of f(x) = a (b)x. When we want to find an initial value of 500, it means that when x = 0, then y must equal 500. So, you plug in 0 to x in the exponential function, which leaves you with f(0) = a. Then, since f(0) = 500, that means a = 500
Hope this will help! =)
Step-by-step explanation:
What is the measure of CAD
Answer:
CAD = 128
Step-by-step explanation:
WEEK 2 Direction: Answer the following problems. 1. Jun wanted to know how much ice cream he got in on scoop. The radius of a scoop is 2 inches. Find the volum Use 3.14 for pi. (SHOW YOUR SOLUTION) a) What is asked in the problem? b) What are the given facts? c) What is the formula to be used? d) Number Sentence e) Final answer. (show your solution pls)
We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.
a) The problem asks for the volume of ice cream in one scoop.
b) The given fact is that the radius of the scoop is 2 inches.
c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.
d) Number Sentence:
- Given: Radius (r) = 2 inches
- Formula: V = (4/3)πr³
- Substituting the value: V = (4/3)π(2)³
- Simplifying: V = (4/3)π(8)
- Evaluating: V = (4/3)(3.14)(8)
- Multiplying: V = 33.49333333 (approx.)
e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.
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Write an algebraic expression for the situation: 2.5 less than a number d
A. d - 2.5
B. 2.5 - d
C. 2.5 ÷ d
D. d ÷ 2.5
Answer:
A.
Step-by-step explanation:
I don’t know how to explain it. It’s just that you need to find a number that is 2.5 less than D. So, you just subtract that 2.5 from D.
For 15 hours of work, a plumber charges $435.
If he charges the same amount for each hour of work, which table shows the correct relationship between what he charges and the number of hours he works?
The table which shows the correct relationship between what he charges and the number of hours he works is; The second choice.
Proportional relationshipsIt follows from the task content that the table which shows the correct relationship between what the plumber charges and the number of hours he works be determined.
Since it is given from the task content that; For 15 hours of work, a plumber charges $435.
Therefore, the charge per hour of the plumber is; $435/15 = $29.
This follows from the fact that he charges the same amount for each hour of work.
Hence, it follows from the attached image that the second answer choice represents the required table which shows the relationship between the plumbers charge and number of hours of work.
Since;
$87/3 = $29$145/5 = $29$203/7 = $29$261/9 = $29Complete question; The complete task content is as in the attached image.
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The height of seaweed of all plants in a body of water are normally distributed with a mean of 10 cm and a standard deviation of 2 cm. Which length separates the lowest 30% of the means of the plant heights in a sampling distribution of sample size 15 from the highest 70%? Round your answer to the nearest hundredth. Use the z-table below:
0.00 0.01 0.02 0.030.04 0.05 0.06 0.08 0.09 0.07 -0.8 0.212 0.209 0.206 0.203 0.201 0.198 0.195 0.192 0.189 0.187 -0.7 0.242 0.239 0.236 0.233 0.230 0.227 0.224 0.221 0.218 0.215 -0.6 0.274 0.271 0.268 0.264 0.261 0.258 0.255 0.251 0.248 0.245 -0.5 0.309 0.305 0.302 0.298 0.295 0.291 0.288 0.284 0.281 0.278 -0.4 0.345 0.341 0.337 0.334 0.330 0.326 0.323 0.319 0.316 0.312 -0.3 0.382 0.378 0.374 0.3710.367 0.363 0.359 0.356 0.352 0.348
Round the z-score and i to two decimal places. Provide your answer below: Z-Score =
Answer:
Step-by-step explanation:
Hello!
The variable of interest is:
X: height of seaweed.
X~N(μ;σ²)
μ= 10 cm
σ= 2 cm
You have to find the value of the variable X that separates the bottom 0.30 of the distribution from the top 0.70
P(X≤x)= 0.30
P(X≥x)= 0.70
Using the standard normal distribution you have to find the value of Z that separates the bottom 0.30 from the top 0.70 and then using the formula Z= (X-μ)/σ translate the Z value to the corresponding X value.
P(Z≤z)= 0.30
In the body of the table look for the probability of 0.30 and reach the margins to form the Z value. The mean of the distribution is "0" so below 50% of the distribution you'll find negative values.
z= -0.52
Now you have to clear the value of X:
Z= (X-μ)/σ
Z*σ= X-μ
X= (Z*σ)+μ
X= (-0.52*2)+10= 8.96
The value of seaweed height that divides the bottom 30% from the top 70% is 8.96 cm
I hope this helps!
Answer:-0.53 and 9.72
Step-by-step explanation:
Suppose sam deposited 1000$ every month in the beginning for his retirement fund for 20 years at 5% compounded monthly. What is value of N
To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.
To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.
Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.
The formula to calculate the future value of a series of monthly deposits is given by:
FV = P * [(1 + r)^n - 1] / r
Where:
FV is the future value of the investment,
P is the monthly deposit amount,
r is the monthly interest rate, and
n is the number of deposits.
In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.
By rearranging the formula, we can solve for n:
n = log((FV * r) / (P * r + FV)) / log(1 + r)
Plugging in the values, we get:
n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)
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Which polynomial is in standard form?
N
O 26x5 + 12x7-8x3 + 6x
O 3x5 +x-6x2 + 5
11x5-6x2-9x+12
5x2 + 18x3 - 12x4 +4x7
Answer:
i am pretty sure it is D
Step-by-step explanation:
Answer:
Its C.) 11x^5 - 6x^2 - 9x + 12
Step-by-step explanation:
ejenuwitee
=D
=P
Simplify the equation:
1d+8x=px2
Answer:
\(p=\frac{d}{2}+4x\)
Step-by-step explanation: