Answer:
y = -1/2x + 7/2
Step-by-step explanation:
To prepare for a bake-off, Luis used 590 grams of flour each day for 3 weeks. How many kilograms did Luis use in those 3 weeks? 1 g = 0.001 kg Solve this on paper. Then check your answer on Zearn. Luis used kilograms of flour in 3 weeks.
Answer: [tex]12.39\ kg[/tex]
Step-by-step explanation:
Given
Luis used 590 gm of flour each day
If he continues to use it for 3 weeks
A week has 7 days; so 3 weeks have 21 days
The flour used in 21 days
[tex]\Rightarrow 21\times 590\\\Rightarrow 12,390\ g\ \text{or}\ 12.39\ kg[/tex]
Thus, [tex]12.39\ kg[/tex] of flour is used in 3 weeks
(a) On the axes provided, sketch a slope field for the given differential equation at the 9 points indicated.
A slope field for the given differential equation dy/dx = xy/2 at the 9 points indicated is shown below.
We know that a slope field represents the slope of a differential equation at certain vertical and horizontal intervals on the coordinate plane.
First we construct a table which contains the values of slope.
Consider given differential equation dy/dx = xy/2
where -1 ≤ x ≤ 1,
1 ≤ y ≤ 3
Let the slope be m
so, dy/dx = m
For x = -1, y = 1
m = (-1 × 1)/2
= -1/2
For x = -1, y = 2
m = (-1 × 2)/2
= -1
For x = -1, y = 3
m = (-1 × 3)/2
= -3/2
For x = 0, y = 1
m = (0 × 1)/2
= 0
For x = 0, y =2
m = (0 × 2)/2
= 0
For x = 0, y = 3
m = (0 × 1)/2
= 0
For x = 1, y = 1
m = (1 × 1)/2
= 1/2
For x = 1, y = 2
m = (1 × 2)/2
= 1
For x = 1, y = 3
m = (1 × 3)/2
= 3/2
So, the table is:
x/y 1 2 3
-1 -1/2 -1 -3/2
0 0 0 0
1 1/2 1 3/2
Therefore, the slope field is as shown below.
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Tomas wanted to buy a computer priced at $950. He waited for the store's annual clearnace sale and bought the computer for $712.50. What percent was the discount at the clearnace sale?
Answer:
25%
Step-by-step explanation:
Discount is given by x(1-r) = y, where x is the original price and r is the percentage (made into a decimal) that was discounted, while y is the price after the discount.
So, plugging the numbers given in, we have 950(1-r) = 712.50, as we don't know r. This is hard to find, so we replace (1-r) with m (just a random letter).
Therefore, we have 950m = 712.50. To find m, we divide 712.50 by 950, getting m = 0.75.
That is not our answer. Earlier, we subsituted (1-r) for m. Now, we subsitutite it back. m = 0.75 so 1-r = 0.75. Therefore, we get that r, the discount rate, is equal to 0.25, or 25%.
mary and max are playing a game with complex numbers. mary has a score of 3+2i. Wat must Max's score be so that the product of their score is one?
Since Mary and Max are playing a game with complex numbers, Max's score must be equal to 1/(3 + 2i), so that the product of their score is one.
What is a reciprocal function?A reciprocal function simply refers to a type of function which comprises a constant on its numerator and an algebraic expression or complex number in its denominator such as: f(x) = 2/3 + 7i.
In Mathematics, a reciprocal function is typically used when describing relationships that are inversely proportional to one other.
Let the variable n represent Max's score. Therefore, a mathematical expression which models the product of both Mary and Max's score is given by the following:
Product = 3 + 2i × n = 1
Making n the subject of formula, we have the following as Max's score;
n = 1/(3 + 2i)
Check:
3 + 2i × 1/(3 + 2i) = 1
(3 + 2i)/(3 + 2i) = 1
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At her birthday party, Sam is serving a slice of cake to each attendee. Of each attendee receives 2 slices, there will be 20 slices left. If 5 attendees do not receive any slices and the rest receive 5 slices each, there will be no cake left. How many attendees were at the party
On solving the provided question, we can say that by having the equation 15 attendees were at the party
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
let x = number of attendees
[tex]2x[/tex] + 20 = number of slices 5(x-5) = [tex]2x[/tex] - 20
[tex]5x[/tex] - 25 = [tex]2x[/tex] + 20
[tex]3x[/tex] = 45
[tex]x[/tex] = 15
[tex]2x[/tex] + 20 = 50 slices
15 attendees
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The dollar value v(t) of a certain car model that is t years old is given by the following exponential function.
v (t)=20,000 (0.86)'
Find the value of the car after 4 years and after 10 years.
Round your answers to the nearest dollar as necessary.
Value after 4 years:
Value after 10 years:
Answer:
4 years: $10,94010 years: $4,426Step-by-step explanation:
Given the value function v(t) = 20000·0.86^t, you want the value after 4 years and 10 years.
EvaluationPut the value of t in the formula where t is, and do the arithmetic.
The attached calculator output tells us ...
value after 4 years: $10,940
value after 10 years: $4,426
__
Additional comment
When you are asked to do the same evaluation with different numbers, it is convenient to process them as a list, or using a spreadsheet.
A.SSE.A Carlos borrowed $26,000 for a car for 5 years at an APR of 5.25%. What will his monthly payment be? *
Answer:
$568.75
Step-by-step explanation:
Monthly payment = annual payment / 12
Annual payment = amount borrowed x time x APR
$26,000 X 0.0525 X 5 = $6825
Monthly payment = $6825 / 12 = $568.75
The monthly payment is $568.75 for 5 years at an Annual Percentage Rate (APR) of 5.25%.
The amount borrowed for a car is $26,000.
The time period is 5 years.
The Annual Percentage Rate (APR) is 5.25%.
What is APR?The Annual Percentage Rate (APR) is the cost you pay each year to borrow money, including fees, expressed as a percentage.
Monthly payment = annual payment / 12
Annual payment = amount borrowed x time x APR
Annual payment =$26,000 X 0.0525 X 5
Annual payment = $6825
Monthly payment = $6825 / 12
= $568.75
Hence, the monthly payment is $568.75.
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Is 5 a polynomial or not?
Because 5 is represented by the polynomial 5x0, the answer is yes.
A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.
An example of a polynomial of a single indeterminate x is x² − 4x + 7.
An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).
Sums of terms of the form kxn, where k is any number and n is a positive integer, make up polynomials.
For instance, the polynomial 3x+2x-5.
By noticing which formulas only contain the operations of addition, subtraction, multiplication, and non-negative integer exponents, the polynomials may be located. Expressions with additional operations are considered non-polynomial expressions.
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what is the value of z?
420
60
440
240
The diameter of a circular pond 63 m. Find the cost of fencing the edge of the pond if the fence costs $12 per meter.
Answer:
$2,373.84
Step-by-step explanation:
The formula for circumference is C = (pi)(diameter)
C = (3.14)(63)
C = 197.82 m
then multiply that by the cost of fence/m
197.82 x 12 = $2,373.84
You're working late one night and notice that the hard drive on your new computer is very active even though you aren't doing anything on the computer and it isn't connected to the Internet. What is the most likely suspect?
Answer:
The most likely suspect for the hard drive being very active even though the computer is not being used and is not connected to the Internet is malware. Malware is a type of software that is designed to cause harm to a computer system, and it can often run in the background without the user's knowledge.
A farmer plants corn and wheat on a 180-acre farm
The farmer needs to sow 135 acres of corn and wheat, and 45 acres of wheat.
What is linear equation ?A linear equation is the algebraic expression y=mx+b. B is the y-intercept, and m is the slope. A "linear equation in two variables" is the term used to describe the previous sentence, where y and x are variables. Two variables make up bivariate linear equations. Examples include the linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is said to be linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.
given
180 acres total land area
The corn acres should be C.
The wheat acres should be W.
A 180-acre property is planted with wheat and corn by a farmer.
Equation 1: C + W = 180
Corn is grown on three times as many acres as wheat:
Equation 2 is created by substituting C = 3W into Equation 1. The result is:
45 acres is W.
For corn, 135 acres equals C.
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X denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppose that for banner-tailed kangaroo rats, X has an exponential distribution with parameter λ = 0. 1342. (a) What is the probability that the distance is at most 100 m? At most 200 m? Between 100 and 200 m? (Round your answers to four decimal places. ) at most 100 m at most 200 m between 100 and 200 m (b) What is the probability that distance exceeds the mean distance by more than 2 standard deviations? (Round your answer to four decimal places. ) (c) What is the value of the median distance? Hint: Find a such that P(X≤a)= 0. 50 (Round your answer to two decimal places. ) m
The probability that the distance is at most 100m is 0.749926 and at most 200 m is 0.9375 between 100 and 200 m is 0.1876 and the probability that distance exceeds the mean distance by more than 2 standard deviations is 0.04979
What is Probability ?
probability can be defined as the ratio of the number of favourable outcomes and the total number of outcomes.
We are given with an exponential distribution with
λ=0.01386.
The probability distribution function is:
F(x)=λ * e power (−λx)
Cumulative distribution function is
F(x) = 1- e power (−λx)
The mean of the exponential distribution function
E(X) = 1 / λ
= 1/0.01386
= 72.15
Hence, E(X) = 72.15
The variance of the exponential distribution function
V(X) = 1 / λ ^{2}
= 1/0.01386*0.01386
= 5205.63
V(X) = 5205.63
Probability that the distance is at most 100m
P(X <= 100 ) = F (100)
= 1- e power (−λx)
= 1 - e power (-0.01386*100)
= 1- e power (-1.386)
= 1-0.25007
= 0.749926
Therefore, P(X<=100) = 0.749926
probability that the distance is at most 200m
P ( X<= 200) = F(200)
=1-e power (−λx)
=1-e power (-0.01386*200)
= 1 - e power (-2.772)
= 1-0.06253
= 0.9375
P(X<= 200) = 0.9375
Probability that the distance is between 100 and 200m
P(100<= X <= 200) = F(200) - F(100)
= 0.9375-0.7499
=01876
P(100 <= X <= 200) = 0.1876
Probability that the distance exceeds the mean distance by more than 2 standard deviation.
P( X + P>μ+2σ) = P(X>72.15+2√5205.63)
= P(X > 72.15 +144.3)
P(X>216.45)
= 1-P(X<= 216.45)
1 - (1- e power (-0.01386*216.45)
= e power (-2.9999)
= 0.04979
P( X + P>μ+2σ) = 0.04979
Hence , The probability that the distance is at most 100m is 0.749926 and at most 200 m is 0.9375 between 100 and 200 m is 0.1876 and the probability that distance exceeds the mean distance by more than 2 standard deviations is 0.04979
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Ill mark brainly if its correct. :) a,b,c, or d. answer quick please
Answer:
d.
Step-by-step explanation:
Angle W measures 36°. What is the angle measure of angle y? (Angle Includes x, y, w, z and is in the shape of an X?) SO confused.
Answer:
The angle measure of angle y is 36°. [ Because vertically opposite angles are equal]
Ali found out the number of rooms in each of 40 houses in a town. He used the information to complete the frequency table. Number of Rooms Frequency 4 4 5. 7 6 10 7 12 8 5 9 2 Calculate the mean number of rooms.
The mean number of rooms = 6
We know that the formula for the mean.
mean = sum of all observations / total number of observations
First we find thr total number of rooms, from given frequency table.
Number of Rooms Frequency Total number of rooms
4 4 16
5 7 35
6 10 60
7 12 84
8 5 40
9 2 18
So, the total number of rooms of 40 houses in a town would be,
16 + 35 + 60 + 84 + 40 + 18 = 253
And the total number of houses = 40
Using above formula of mean, the mean number of rooms would be,
x = 253/40
x = 6.325
Therefore, on an average there are 6 rooms in each house.
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What is a coordinate plane example?
A coordinate plane is a two-dimensional surface formed by two number lines
What is coordinate system?In a plane, a Cartesian coordinate system is a system of coordinates that designates each point uniquely by a pair of numerical coordinates, which are the signed distances from two fixed perpendicular oriented lines to the point, measured in the same unit of length. Two number lines combine to produce the coordinate plane, a two-dimensional surface. The x-axis is the name given to one horizontal number line. The y-axis is the name given to the other number line, which is vertical. At a place known as the origin, the two axes collide. The coordinate plane allows us to graph points, lines, and more. The plane that houses the x- and y-axes is known as the xy-plane, while the y- and z-axes are housed in the yz-plane and the x- and z-axes are housed in the xz-plane.To learn more about coordinate system refer to:
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have to find x, y, and z,, someone help pls !!
What does r equal?
Answer: r = ________
Answer:
[tex]r=\sqrt{\frac{3V}{\pi h} }[/tex]
Step-by-step explanation:
[tex]V=\frac{1}{3} \pi r^2h[/tex]
Lets solve for [tex]r[/tex].
Multiply both sides of the equation by 3.
[tex]3V=\pi r^2h[/tex]
Divide both sides of the equation by [tex]\pi h[/tex].
[tex]\frac{3V}{\pi h} =r^2[/tex]
Take the square root of both sides.
[tex]\sqrt{\frac{3V}{\pi h} } =r[/tex]
2sinx^2 =sin x+3
Solve for the solutions
Answer:
x = 3/2 π (270°)
Step-by-step explanation
2sin²x =sin x+3
2sin²x - sin x - 3 = 0
(sin x + 1) (2sin x - 3) = 0
-1 ≤ sin x ≤ 1
sin x = -1
x = 3/2 π (270°) or -π/2 + 2kπ (k = ..., -1, 0 , 1, ...)
Simplify 10 1/2(1 1/7x+2/3)+5 5/6(2 2/5x+4 2/7)
Answer:
26x+32
Step-by-step explanation:
work out the areas of these compound shapes ? Pls step by step
Answer:
Step-by-step explanation:
7+5+2=14
I am pretty sure its C but I might be wrong
Answer: I think it’s A
Step-by-step explanation:
But go for it
We need to assume the sample was randomly selected because we are making inferences about ___________. a)unknown statistic b) unknown parameter c) means
We need to assume the sample was randomly selected because we are making inferences about means. Means refers to the average of a sample of data points, which can be used to estimate the value of an unknown population parameter.
If the sample was not randomly selected, then our estimates of the population parameter could be biased or inaccurate. This is because the sample may not be representative of the population as a whole, which could lead to incorrect estimates of the population parameter.
In order to make valid inferences about a population, it is essential to use random sampling. This is because random sampling ensures that the sample is representative of the population as a whole, meaning that the estimates of the population parameter that you obtain from the sample will be unbiased and accurate. If the sample is not randomly selected, then there is a risk that the sample is not representative of the population, which could lead to incorrect estimates of the population parameter.
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The following table displays the number of sofas sold in a furniture store during certain months of the year.
Furniture Store Sofa Sales
January 255
February 234
March 263
April 229
May 248
Based on these data, which statement is correct?
A. There are outliers.
B. The mean best describes the data.
C. The median best describes the data.
D. The measure of variability that best describes the data is the IQR, 27.5.
Construct a quadratic polynomial whose zeroes are negatives of the zeroes of the
polynomial x
x2 − x − 12.
Given:
The given quadratic polynomial is :
[tex]x^2-x-12[/tex]
To find:
The quadratic polynomial whose zeroes are negatives of the zeroes of the given polynomial.
Solution:
We have,
[tex]x^2-x-12[/tex]
Equate the polynomial with 0 to find the zeroes.
[tex]x^2-x-12=0[/tex]
Splitting the middle term, we get
[tex]x^2-4x+3x-12=0[/tex]
[tex]x(x-4)+3(x-4)=0[/tex]
[tex](x+3)(x-4)=0[/tex]
[tex]x=-3,4[/tex]
The zeroes of the given polynomial are -3 and 4.
The zeroes of a quadratic polynomial are negatives of the zeroes of the given polynomial. So, the zeroes of the required polynomial are 3 and -4.
A quadratic polynomial is defined as:
[tex]x^2-(\text{Sum of zeroes})x+\text{Product of zeroes}[/tex]
[tex]x^2-(3+(-4))x+(3)(-4)[/tex]
[tex]x^2-(-1)x+(-12)[/tex]
[tex]x^2+x-12[/tex]
Therefore, the required polynomial is [tex]x^2+x-12[/tex].
Tobias is constructing barriers to prevent cars from driving on a bike path. He can make conical pylons using the dimensions shown. If he used the
same amount concrete to construct a spherical barrier, how tall would it be? Express your answer in terms of π?
Is it:
A)1 2/3 π
B)3 2/3 π
C)4 1/3 π
D)5 π
The volume of the cone is (2/3)π cubic feet. And the radius of the spherical barrier would be 0.8 ft. and the height would be 2r = 2(0.8) = 1.6 ft. The correct option is A.
What is volume?Space occupied by an object in three-dimensional space is called as volume of an object. In simple words, space is taken by object.
Given:
Tobias is constructing barriers to prevent cars from driving on a bike path. He can make conical pylons using the dimensions shown.
He used the same amount of concrete to construct a spherical barrier.
According to the information given in the exercise, the height and the radius of the pylons are the following:
Height h = 2 ft
Radius r = 1 ft
So, the volume of the cone,
= (1/3)πr²h
= (1/3)π(1)²(2)
= (2/3)π cubic feet.
And the volume of the sphere is twice the volume of the cone.
So, the volume of the sphere,
4πr³/3 = 2π/3
2r³ = 1
r³ = 1/2 = 0.5
r = ∛0.5 = 0.8 ft.
Therefore, the radius of the spherical barrier would be 0.8 ft. and the height would be 2r = 2(0.8) = 1.6 ft.
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A flag pole and a building stand on the same horizontal level. From the point p at the bottom of a building the angle of the top T of the flagpole is 65°. From the point Q of the building the angle of elevation of the point T is 25°. If the building is 20m high. calvulate the distance PT, The heigt of the flagpole,The distance QT
Answer:
PT is approximately 28.2 m
The height of the flagpole is approximately 25.56 m
QT is approximately 13.15 m
Step-by-step explanation:
Part A
From the attached drawing of the building and the flagpole, we have;
∠TQP = 25° + 90° = 115°
∠TPQ = 90° - 65° = 25°
∴ ∠QTP = 180° - (115° + 25°) = 40°
By sine rule, we have;
[tex]\dfrac{\overline {QT}}{sin(\angle TPQ)} = \dfrac{\overline {PT}}{sin(\angle TQP)} = \dfrac{\overline {QP}}{sin(\angle QTP)}[/tex]
[tex]\therefore \overline {PT} = sin(\angle TQP) \times \dfrac{\overline {QP}}{sin(\angle QTP)}[/tex]
∴ PT = sin(115°) × 20 m/(sin(40°)) = 28.1992924 ≈ 28.2
PT ≈ 28.2 m
Part B
The height of the flagpole, Ta = PT × sin(∠TPa)
∴ Ta ≈ 28.2 × sin(65°) ≈ 25.56
The height of the flagpole, Ta ≈ 25.56 m
Part C
[tex]\overline {QT} = sin(\angle TPQ) \times \dfrac{\overline {QP}}{sin(\angle QTP)}[/tex]
The distance QT= sin(25°) × 20 m/(sin(40°)) ≈ 13.15
QT ≈ 13.15 m
Ethan wants to purchase a rectangular lot at a lake resort. He drew the layout of the lot on a coordinate plane, where the x- and y- values represent the length, in yards. The center of the lot is located at (0,0). The northeast corner of the lot is located at (16.5, 13.5). The southeast corner of the lot is located at (16.5, -13.5). The northwest corner of the lot is located at (-16.5, 13.5). The southwest corner of the lot is located at (-16.5, -13.5). What is the area of the rectangular lot?
a) 120 square yards
b) 1,782 square yards
c) 445.5 square yards
d) 891 square yards
you and three friends spent $35 on tickets at the movies. Write and solve an equantion to find the price p of one ticket
Answer:
35/4=8.75
Step-by-step explanation:
You and your 3 friends add up to 4 people so you do 35 divided by 4 and get 8.75
Answer:
Step-by-step explanation:
35/3 = p
p = 11.67 per person