Answer:
104
Step-by-step explanation:
f(x)=4(13)2x
f(x)= 104x
f(1)=104(1)
f(1)=104
hope it helps
Help!!!!
Ms.K said that 30% of her students made an A last 9 weeks. If 33 students made an A, how many total students does Ms.K have?
Answer:
110 students in the class
Step-by-step explanation: If this is helpful and correct please mark as brainliest!
The volume of a sphere is 4500π m3. What is the surface area of the sphere to the nearest square meter?
Answer:
2827 m²
Step-by-step explanation:
The equation for volume of a sphere is:
\(V=\frac{4}{3}\pi r^3\)
Using this equation and the given volume of the sphere, we can find the radius of the sphere.
Finding the Radius\(V=\frac{4}{3}\pi r^3\)
\(4500\pi = \frac{4}{3}\pi r^3\)
Divide both sides by π
\(4500=\frac{4}{3}(r^3)\)
Multiply both sides by 3
\(13500=4( r^3)\)
Divide both sides by 4
\(3375=r^3\)
Take the cube root of both sides
\(r=15\)
Thus the radius of the sphere is 15m. We can use this information to find the surface area of the sphere.
Finding the Surface AreaThe equation for surface area of a sphere is \(4\pi r^2\). Substituting the value we found for the radius into the equation, we find:
\(SA=4\pi r^2\\SA=4\pi 15^2\\SA=4\pi 225\\SA=900\pi\\SA\approx2827$ m^2\)
The surface area of the sphere, rounded to the nearest square meter, is 2827 m².
34 divided by 8 please I’m helping a kiddo out
Answer:
4.25.
8 divides into 34 4 times, which is 32, then do 34−32, which is 2 (make sure to add your decimal) , then drop the 0 and it goes into 20 twice, subtract and get 4, drop a 0, then subtract 40 by 40 again and get 4.25
Pedrobuysawheelbarrowpricedat$86.Shippingandhandlingareanadditional30%oftheprice.HowmuchshippingandhandlingwillPedropay?
The price of the wheelbarrow is $86, and Pedro will need to pay an additional 30% of the price for shipping and handling.
To calculate the shipping and handling cost, we can first find 30% of the price of the wheelbarrow:
30% of $86 = 0.3 x $86 = $25.80
Therefore, Pedro will need to pay $25.80 for shipping and handling.
On a boat tour, there are half as many children as there are adults. There are 30 people on the tour. How many children are there? Please solve on paper and take a picture Use a TAPE DIAGRAM
Step-by-step explanation:
60 hktdohdlhdlh dph dpud pudpudlbhdlhdhldoy. doydoyd
Ordered 0.5mg/ kg and supplied 10 mg/ml and weighs 40 kg how many mls do you give
As per the given relation between ordered mg to kg and supplied mg to ml then weighs 40kg is equal to 2ml.
As given in the question,
Relation between mg to kg as per the ordered is given by ,
0.5 mg / kg
⇒ For 1 kg = 0.5 mg
Relation between mg to ml as per the supplied is given by ,
10 mg / ml
⇒ 1 ml = 10 mg
Now for 40 kg weighs the relation is given by,
1 kg = 0.5 mg
⇒ 40 kg = ( 40 × 0.5) mg
⇒ 40 kg = 20 mg ___(1)
And
1 ml = 10 mg
⇒ ( 2 × 1) ml = ( 2 × 10 ) mg
⇒ 2ml = 20mg ____(2)
From (1) and (2) we get ,
For 40 kg weighs we need 2ml.
Therefore, As per the given relation between ordered mg to kg and supplied mg to ml then weighs 40kg is equal to 2ml.
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Please help if you can, this is due tomorrow.
In the diagram below, $\angle BAC=24^\circ$ and $AB=AC$.
If $\angle ABC=y^\circ$, what is the value of $y$?
[asy]
size(4.25cm);
pair a=(0,cos(pi/15)); pair b=(-sin(pi/15),0); pair c=-b; pair d=c+(1,0);
dot(a); dot(b); dot(c);
draw(c--a--b--c);
draw((2*a+3*b)/5-0.05*(cos(pi/15),-sin(pi/15))--(2*a+3*b)/5+0.05*(cos(pi/15),-sin(pi/15)));
draw((2*a+3*c)/5-0.05*(cos(pi/15),sin(pi/15))--(2*a+3*c)/5+0.05*(cos(pi/15),sin(pi/15)));
label(scale(0.75)*"$24^\circ$",a-(0,0.3),S);
label("$A$",a,N);
label("$B$",b,SSW);
label("$C$",c,S);
label(scale(0.85)*"$y^\circ$",b,NE);
[/asy]
The given diagram implies that the triangle $ABC$ is an isosceles triangle with angles of $24^\circ$. This can be verified by computing the length of the hypotenuse and using the Pythagorean Theorem.
What is equation?Equation is a mathematical expression that consists of variables, symbols, and numbers, and shows the relationship between different quantities. An equation can involve one or more unknowns, and can be represented as an equality or as an inequality. Solving an equation requires understanding the relationship between the different elements in the equation, and manipulating the equation to isolate the unknowns. Common types of equations include linear equations, quadratic equations, and polynomial equations.
From this diagram, we can conclude that $\angle ABC$ is an isosceles triangle. This is because the angles opposite equal sides of a triangle must be equal. Since $\angle BAC=24^\circ$, $\angle ABC$ must be $24^\circ$. Furthermore, the sides $AB$ and $AC$ are equal, so $ABC$ is an isosceles triangle.
This conclusion can be verified by using the Pythagorean Theorem. If $AB=AC$, then it follows that $BC = \sqrt{AB^2 + AC^2} = \sqrt{2AB^2}$. Since $AB=3$, it follows that $BC=\sqrt{2*3^2}=6$. Therefore, the triangle $ABC$ is a right triangle with legs of length 3 and hypotenuse of length 6. Since $\angle BAC = 24^\circ$, it follows that $\angle ABC = 24^\circ$, verifying that the triangle is isosceles.
In conclusion, the given diagram implies that the triangle $ABC$ is an isosceles triangle with angles of $24^\circ$. This can be verified by computing the length of the hypotenuse and using the Pythagorean Theorem.
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Answer:
78
Step-by-step explanation:
Please review the following sets of sentences and select the one that contains filler.
A. This Star Wars LEGO set has 305 pieces and includes two minifigures and two droids you can battle against each other.
B. Your kids will love the LEGO Star Wars Republic Fighter Tank and spend hours building it to completion.
C. The set features an opening top hatch with a cockpit where you can place the included Clone Trooper Gunner figure to ready for battle.
D. This set also includes heroes like Obi-Wan Kenobi and Anakin Skywalker, both of whom come fully-equipped with their signature lightsabers and Jedi robes.
The sentence that contains filler is: D. This set also includes heroes like Obi-Wan Kenobi and Anakin Skywalker, both of whom come fully-equipped with their signature lightsabers and Jedi robes. Option D
In this sentence, the phrase "also includes heroes like Obi-Wan Kenobi and Anakin Skywalker" acts as a filler. The main purpose of this phrase is to provide additional information about the set and highlight the inclusion of popular characters from the Star Wars franchise. It doesn't directly contribute to the core information about the set's features or components.
The other sentences (A, B, and C) provide specific details and descriptions about the LEGO set, such as the number of pieces, minifigures, droids, and features like the opening top hatch and cockpit. They directly convey important information about the set itself without any filler or additional unnecessary information.
In marketing or promotional contexts, fillers are often used to enhance the appeal of a product or create excitement by mentioning well-known or desirable elements that may not be directly relevant to the core features. The filler in sentence D serves to attract fans of Obi-Wan Kenobi and Anakin Skywalker by emphasizing their presence in the set and the inclusion of their iconic weapons and attire.
Option D
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Answer:D
Step-by-step explanation:
Please help with the first question I’m begging u
Find the rule, and type the missing number in the sequence.
96, 192, ____, 384
Answer:
Missing number is 288, and the rule is +96
Step-by-step explanation:
First subtract 96 from 192, which is 96
then add that to 192 and the missing value is 288
you should also add 96 to 288 just to make sure it gets you to the last number which is 384.
In AGHI, m/G = (8x + 14)°, m/H = (3x - 6)°, and m/I = (« + 16)°. Find m/G.
The value of the angle m/G is 118 degrees
How to determine the value of the angleIt is important to note that the sum of the angles in a triangle is equivalent to 180 degrees.
From the information given, we have that;
m/G = (8x + 14)°m/H = (3x - 6)° m/I = (« + 16)°Add the angles, we get;
8x + 14 + 3x - 6 + x + 16 = 180
collect like terms
8x + 3x + x = 180- 14 + 6 - 16
add or subtract like terms, we get;
12x = 156
Make 'x' the subject of formula by dividing both sides by the coefficient
x = 156/12
Divide the values
x = 13
m/G = 8(13) + 14
m/G = 118 degrees
Hence, the angle is 118 degrees
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If Tommy triples his number of nickels, what will be the total value of his nickels
Answer:
$1.35
Step-by-step explanation:
He has 9 nickels, and 9 x 3 = 27
27 * 0.05 = $1.35
Hey there!
Guide:
1 half dollar is worth 50¢
1 quarter is worth 25¢
1 dime is worth 10¢
1 nickel is worth 5¢
1 penny is worth 1¢
————————————-
SOLVING FOR YOUR ANSWER
Total quarters: 9
9 * $0.25
= $2.25
Total dimes: 18
18 * $0.10
= $1.80
Total of nickels: 9
9 * $0.05
= 0.45
MEETING YOUR ANSWER:
9 * 3
= 9 + 9 + 9
= 18 + 9
= 27
27 * $0.05
= $1.35
Thus your answer is: $1.35
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Incomes math pls help
Answer:
The median is:
\(49\)
The mode is:
\(54\)
At a high school, 9th and 10th graders were asked whether they would prefer
robotics or art as an elective. The results are shown in the relative frequency
table.
To the nearest percent, what percentage of 10th graders surveyed preferred robotics?
Using the percentage concept, it is found that 51% of 10th graders surveyed preferred robotics, hence option B is correct.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
\(P = \frac{a}{b} \times 100\%\)
In this problem, we have that 33% out of 65% of the students are 7th graders who preferred robotics, hence the percentage is given by:
\(P = \frac{33}{65} \times 100\% = 51%\)
Which means that option B is correct.
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Answer:
It's A. 61% The dude above me is wrong.
Step-by-step explanation:
I just took the test
Use the critical points to determine the test regions. Which are possible test points
Answer: -6, -3, 0
Step-by-step explanation:
Because it’s right :)
Answer:
A, C, E
Step-by-step explanation:
-6, -3, 0
Identify all values of x
Step-by-step explanation:
(x - 3)/x = -8/(x + 3) , x ≠ 0 or -3
(x - 3)(x + 3) = -8x
x² - 9 = -8x
x² + 8x - 9 = 0
x² + 9x - x - 9 = 0
x(x + 9) - 1(x + 9) = 0
(x + 9)(x - 1) = 0
x = -9
x = 1
x ≠ 0 or -3
-9 ≠ 0 or 3 PROVED
x ≠ 0 or -3
1 ≠ 0 or -3 PROVED
Value of x is -9 and 1the graph of y=f(x) is shown below find all values of x where f(x)=1
the values of x where f(x) = 1 for the function y = x^2 - 2x + 1 are x = 0 and x = 2.
general steps to find all values of x where f(x) = 1 for a given function y = f(x):
1. Set f(x) equal to 1: f(x) = 1.
2. Solve the equation for x. This may involve algebraic manipulation or using techniques such as factoring, completing the square, or using the quadratic formula, depending on the form of the equation.
3. If the equation has multiple solutions, list them all as the values of x where f(x) = 1. If the equation has no solutions, then there are no values of x for which f(x) = 1.
For example, if the function is y = x^2 - 2x + 1, then setting f(x) = 1 gives:
x^2 - 2x + 1 = 1
Simplifying this equation by subtracting 1 from both sides, we get:
x^2 - 2x = 0
Factoring out x, we get:
x(x - 2) = 0
This equation is satisfied when either x = 0 or x = 2. Therefore, the values of x where f(x) = 1 for the function y = x^2 - 2x + 1 are x = 0 and x = 2.
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Suppose that poaching reduces the population of an endangered animal by 1% per year. Further suppose that when the population of this animal falls below 40 , its extinction is inevitable (owing to the lack of reproductive options without severe in-breeding). If the current population of the animal is 1600, when will it face extinction? Comment on the validity of this exponential model.
It will take about (how many) years for the animal to face extinction?
Answer:
ddfadf
Step-by-step explanation:
There are six pizzas there are 36 players on the team. If each member has one slice and each pizza has eight slices how much pizza in fraction form will be left over.
There will be 12 slices of pizza left over, which can be expressed as 3/2 or 1 1/2 slices in fraction form.
To find out how much pizza will be left over, we need to calculate the total number of slices available and subtract the number of slices consumed by the players.
Given that there are six pizzas and each pizza has eight slices, the total number of slices available is 6 pizzas * 8 slices/pizza = 48 slices.
Since there are 36 players on the team, and each player has one slice, the total number of slices consumed is 36 slices.
To determine the remaining slices, we subtract the consumed slices from the total available slices: 48 slices - 36 slices = 12 slices.
Therefore, there will be 12 slices of pizza left over.
To express this as a fraction, we can write it as 12/1, which simplifies to 12. This means there will be 12 whole slices of pizza left over.
If you would like to express it as a fraction in its simplest form, you can write it as 12/8. By dividing both the numerator and denominator by their greatest common divisor, which is 4, we get 3/2. So, in fraction form, there will be 3/2 or 1 1/2 slices of pizza left over.
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Please answer this thank you
the answer is the second one, letter b. it would be (6,0) and (0,3)
help me, please HELP HELP HELP HEL[
Answer:
Use the arrow with the filled in circle pointing to the left. Put the filled in circle part on 46.
Step-by-step explanation:
The question is asking you to plot on the number line, the inequality h is less than or equal to 46. Since the inequality uses or equal to, The little dot has to be filled in to symbolize that. Since it also says less than, the arrow has to be pointing to the left. Finally, we have to put the dot on 46, to show what h is less than or equal to.
a/5=b/7 if b#0 what is the value of a/b
Answer:
A = 20
b = 28
Step-by-step explanation:
a = 20/5 = 4
b = 28/7 = 4
Brenda is preparing food for a picnic. She must make at least 6 sandwiches and at least 3 dozen cookies. It takes her 4 minutes to make a sandwich
For 6 sandwiches and 3 dozen cookies, the total time taken by Brenda would be 33 minutes.
What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.equation modelling : Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis and results of the given problemGiven is Brenda who must make at least 6 sandwiches and at least 3 dozen cookies. It takes her 4 minutes to make a sandwich, and 45 minutes to make a dozen cookies.
If she makes [x] sandwiches and [y] dozen cookies, then the total time she would take to make them can be written as -
t = 4x + 3y
For 6 sandwiches and 3 dozen cookies, we can write -
t(6, 3) = 4 x 6 + 3 x 3 = 24 + 9 = 33 minutes
t(6, 3) = 33 minutes
Therefore, for 6 sandwiches and 3 dozen cookies, the total time taken by Brenda would be 33 minutes.
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{Complete question is given below -
She must make at least 6 sandwiches and at least 3 dozen cookies. It takes her 4 minutes to make a sandwich, x, and 45 minutes to make a dozen cookies, y.}
You insure your home for $125,000. You want to be safe and add coverage on the contents, so you take 55% on the contents. How much coverage will you have on the contents of your home?
The amount of coverage that you will have on the contents of your home would be = $68,750
How to calculate the amount of coverage for contents of your home?The total amount of money that was insured for the house = $125,000
The percentage of insurance that was left for the contents of the house = 55% of insurance.
That is;
= 55/100 × $125,000
= 6875000/100
= $68,750.
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PLEASE HELP!!! SHOW ME HOW YOU GOT THE ANSWER
Answer: use Pythagorean thoreum
Step-by-step explanation:
a^2+b^2=c^2
h=c
f=a or g
36^2+g^2=85^2
solve for g
g=77
just type this equation into your search bar and press enter and it will automatically solve it:
36^2+g^2=85^2
7. The Taylor Rule states that the central bank should set the short-term nominal interest rate (i)
based on the inflation gap [the difference between inflation (3.14) and desired inflation (3.14*)] and the
output gap (the percentage difference between real GDP (Y) and potential GDP (Y*) An
example of a Taylor Rule would be the formula
i - 3.14 = 1.5 +0.5(3.14-3.14*) +0.5 (Y-Y*/Y*)
The term on the left-hand side is the real interest rate. Consider the following table
Inflation rate (3.14), %
Target inflation rate (3.14*), %
Output gap, %
Real interest rate
Nominal interest rate
Base Scenario Scenario B Scenario C
4.0
20
2.0
20
0.0
20
20
20
00
a. Fill in the real and nominal interest rates chosen by the policy maker in the base scenano
b. How does scenario B differ from the base scenario in terms of the inflation and output gaps?
Calculate the real interest rate. Has the real interest rate moved in the direction that would
move the inflation rate toward its target?
c. How does scenario C differ from the base scenario in terms of the inflation and output gaps?
Calculate the real interest rate. Has the real interest rate moved in the direction that would
move output toward the potential level?
d. Suppose a new chair of the central bank is appointed and she switches to a new policy rule of
the form given in the next equation. Recalculate the real and nominal interest rates for the
three scenarios. What has been the effect of the change in weights?
i-3.14=1.5 +0.75(3.14-3.14*) +0.25(Y-Y*/Y*)
The weight on the inflation gap has increased from 0.5 to 0.75. The real interest rate is 16.86% and Nominal interest rate is 20%
a. In the base scenario, the real interest rate will be 20%, and the nominal interest rate will be 20%.
b. In scenario B, inflation rate will be higher (4%) compared to the base scenario (3.14%).
Output gap is 0% in both the scenarios, however, in the base scenario inflation gap is 0% (3.14 - 3.14) and in scenario B, inflation gap is 0.86% (4 - 3.14).
Now, let's calculate the real interest rate.
Real interest rate in base scenario = 20% - 3.14%
= 16.86%.
Real interest rate in scenario B = 20% - 3.14% + 1.5 + 0.5 (4-3.14) + 0.5 (0-0/0)
= 19.22%.
The real interest rate has moved in the direction to move inflation rate towards its target.
c. In scenario C, the output gap will be 20% compared to 0% in the base scenario.
Inflation gap is 0% in both the scenarios
Inflation rate is 3.14% and in scenario C, inflation rate is 2%.
Let's calculate the real interest rate. Real interest rate in the base scenario = 20% - 3.14%
= 16.86%.
Real interest rate in scenario C = 20% - 2% + 1.5 + 0.5 (3.14 - 3.14) + 0.5 (20-0/20)
= 20.15%.
Real interest rate in scenario C = 20% - 2% + 1.5 + 0.75 (3.14-3.14) + 0.25 (20-0/20) = 18.78%.
The new policy rule has changed the weight of the output gap in the Taylor Rule from 0.5 to 0.25.
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Given that a+b = 10 and a square - b square = 40 find the value of a-b
Answer:
the value of a - b is 4.
Step-by-step explanation:
We have been given the following two equations:
a + b = 10 ------------(1)
a² - b² = 40 -------(2)
We can factor the left-hand side of equation (2) using the difference of squares identity:
(a + b)(a - b) = 40
Substituting equation (1) into this equation, we get:
10(a - b) = 40
Dividing both sides by 10, we get:
a - b = 4
Therefore, the value of a - b is 4.
Step-by-step explanation:
if I understand this correctly :
a + b = 10
a² - b² = 40
(a² - b²) = (a + b)(a - b) = 40
10(a - b) = 40
(a - b) = 4
it takes mm to make cm
Answer:
In one in. there is 10 mm
Answer:
The answer is 10 mm
Step-by-step explanation:
it takes 10 mm to make 1 cm
-TheUnknownScientist 72
if k(x) = 3x, then f'(x)=? A. x³Ln3 B. 3xLn3 C. 3x/Lnx D. 3/3xLn3
The closest answer is 3xLn3 which is (B).
Solving the differential equationIf k(x) = 3x, then f(x) can be expressed as the integral of k(x) with respect to x:
f(x) = ∫ k(x) dx = ∫ 3x dx = (3/2)x² + C
where C is the constant of integration.
To find f'(x), the derivative of f(x) with respect to x, we simply differentiate the expression for f(x):
f'(x) = d/dx [(3/2)x² + C] = 3x
What is differential equation?A differential equation is a mathematical equation that relates a function and its derivatives. Specifically, a differential equation describes how a quantity changes as a function of its own rate of change.
Differential equations are commonly used in physics, engineering, and other sciences to model and analyze natural phenomena.
For example, the motion of a simple pendulum can be described using a differential equation that relates the position and velocity of the pendulum to its acceleration and the forces acting upon it.
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Use the angle relationship in the figure below to solve for x. Assume that lines a and b are parallel and the given angles are given in degrees.
9514 1404 393
Answer:
x = 5°
Step-by-step explanation:
The marked angles are "alternate exterior angles," hence congruent.
2x +90° = x +95°
x = 5° . . . . . . . . . . . . subtract (x+90°) from both sides