Answer:
b = - 7 , b = 0
Step-by-step explanation:
b(b + 7) = 0
equate each factor to zero and solve for b
b = 0
b + 7 = 0 ⇒ b = - 7
Your parents want to be generous to you. They have decided to give you money every week for 1 year. They have 2 options from which you can choose.
Which option would you rather have?
Option A: Every week for one year, your parents will give you $50.
Option B: Every week for one year, your parents will double the amount of money that you have in a special bank account. In week one, they will give you $0.01.
Equation A:
Equation B:
Answer:
B
Step-by-step explanation:
1: they didnt mention that its just for a year.
2: the money source cant just be from them.
Help me, i don’t know the response, please!
Percentage of people who viewed version 1 and are likely to buy = 25 / 65 x 100% = 38.46%.
What is percentage?The way of expressing a number as a fraction of 100. It represents a proportion or rate per 100, and is often used to express changes, comparisons, and proportions in various fields such as mathematics, finance, and statistics.
The completed two-way table is:
Version 1 Version 2 Version 3 Total
Likely to 25 20 54 99
Buy
Unsure or 40 10 21 71
Unlikely to
Total 65 30 75 180
To find the number of people likely to buy version 2 or version 3, we add up the number of people who said they were likely to buy for those two versions:
Number of people likely to buy version 2 or version 3 = 20 + 54 = 74
To find the percentage of people who are unsure or unlikely to buy, we add up the number of people who said they were unsure or unlikely to buy, and divide by the total number of people surveyed, then multiply by 100%:
Percentage of people unsure or unlikely to buy = (40 + 10 + 21) / 180 x 100% = 38.89%
To find the percentage of people who viewed version 1 and are likely to buy, we divide the number of people who said they were likely to buy version 1 by the total number of people who viewed version 1, then multiply by 100%.
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What is the value of Y?
(Please help me with this question.)
Answer:
x = 8
y = 36
Step-by-step explanation:
The triangle shown in the image is an isosceles triangle.
We can find the value of x using the above mentioned information:
∠B = ∠A
5x = 40 divide both sides by 5
x = 8
The sum of interior angles in a triangle is equal to 180°.
Since ∠B and ∠C are both 40°:
40 + 40 + 3y - 8 = 180 add/subtract like terms
72 + 3y = 180 subtract 73 from both sides
3y = 108 divide both sides by 3
y = 36
The first Ferris wheel was built in 1893 in Chicago. Its diameter was 250 feet. How many feet did the Ferris wheel rotate with one complete turn? Use 3.14 for Pi
Answer:
I think we have to count circumference of this wheel.
C=D*π=250*3,14=785ft
Step-by-step explanation:
What is the measure of angle y?
I need help I’m being timed plz
Answer:
y=2, angle c=55, line AB is 2, line BC, is 2 angle X is 35. also fun fact that test is messed up because X is the angle not Y so either you may want to tell someone about that.
Step-by-step explanation:
Randi went to Lowe’s to buy wall-to-wall carpeting. She needs 109.41 square yards for downstairs, 30.41 square yards for the halls, and 160.51 square yards for the bedrooms upstairs. Randi chose a shag carpet that costs $13.60 per square yard. She ordered foam padding at $3.10 per square yard. The carpet installers quoted Randi a labor charge of $3.75 per square yard.
What will the total job cost Randi? (Round your answer to the nearest cent.)
Rounded to the nearest cent, the total job cost for Randi is $6,138.99.
To calculate the total cost for Randi's carpeting job, we need to consider the cost of the carpet, foam padding, and labor.
1. Carpet cost:
The total square yards of carpet needed is:
Downstairs: 109.41 square yards
Halls: 30.41 square yards
Upstairs bedrooms: 160.51 square yards
The total square yards of carpet required is the sum of these areas:
109.41 + 30.41 + 160.51 = 300.33 square yards
The cost of the carpet per square yard is $13.60.
Therefore, the cost of the carpet is:
300.33 * $13.60 = $4,080.19
2. Foam padding cost:
The total square yards of foam padding needed is the same as the carpet area: 300.33 square yards.
The cost of the foam padding per square yard is $3.10.
Therefore, the cost of the foam padding is:
300.33 * $3.10 = $930.81
3. Labor cost:
The labor cost is quoted at $3.75 per square yard.
Therefore, the labor cost is:
300.33 * $3.75 = $1,126.99
4. Total job cost:
The total cost is the sum of the carpet cost, foam padding cost, and labor cost:
$4,080.19 + $930.81 + $1,126.99 = $6,138.99
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I NEED HELP PLEASE!!!!!!
Answer:
y-intercept: 11
which means the baby weighs 11 lb when it is born (t=0).
Step-by-step explanation:
One afternoon, 27 people withdrew $100 from an atm. what was the overall change in the amount of money in the machine?
If we know the initial amount in the ATM, we can calculate the overall change by subtracting the total amount withdrawn from the initial amount.
27 people withdrew $100 each from the ATM. To calculate the overall change in the amount of money in the machine, we need to find the total amount of money withdrawn and subtract it from the initial amount in the machine.
Since each person withdrew $100, the total amount of money withdrawn is calculated by multiplying $100 by the number of people who withdrew money. So, 27 people x $100 = $2700.
To find the overall change in the amount of money in the machine, we subtract the total amount of money withdrawn from the initial amount in the machine. However, the initial amount is not given in the question, so we cannot determine the exact overall change without that information.
In summary, However, without the initial amount, we cannot determine the overall change.
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Genevieve buys 4 dance tickets for $15 bill buys 16 dance tickets for $75 did they pay at the same rate?
Answer:
No they did not pay the same rate, Bill paid more than Genevieve.
Step-by-step explanation:
Genevieve : 15 ÷ 4 =3.75
Genevieve paid 3.75 per ticket
-----------------------------------------------------
Bill : 75 ÷ 16 = 4.6875
Bill paid 4.6875 per ticket
********************************************
Select the degree of this equation. 3x² + 5x = 2 . A. 1st degree B. 2nd degree C. 3rd degree D. 4th degree E. 5th degree
Answer:
b) 2nd degree
Step-by-step explanation:
Degree of the polynomial:Highest exponent of the variable x, is the degree of the polynomial.
Highest power is 2. So the degree is 2.
How many solutions does the system of linear equations represented in the graph have?
Answer:
D: One solution at (0, -1)
Step-by-step explanation:
The linear equations line up with this coordinate, unlike the others mentioned.
15) ---> make (c) the subject of the equation
16) ---> make (x) the subject of the equation.
The equation in terms of (c) is:
c = a - b
the equation in terms of (x) is:
x = (y - b)/m
15) To make (c) the subject of the equation, we need to isolate (c) on one side of the equation. The equation is not provided, so I will use a generic formula as an example:
a = b + c
To make (c) the subject of this equation, we need to isolate it on one side of the equation. We can do this by subtracting (b) from both sides of the equation:
a - b = b + c - b
Simplifying the right-hand side of the equation:
a - b = c
Therefore, the equation in terms of (c) is:
c = a - b
This means that if we know the values of (a) and (b), we can use this equation to calculate the value of (c).
16) To make (x) the subject of the equation, we need to isolate (x) on one side of the equation. Again, the equation is not provided, so I will use a generic formula as an example:
y = mx + b
To make (x) the subject of this equation, we need to isolate it on one side of the equation. We can do this by subtracting (b) from both sides of the equation:
y - b = mx + b - b
Simplifying the right-hand side of the equation:
y - b = mx
To isolate (x), we need to divide both sides of the equation by (m):
(y - b)/m = (mx)/m
Simplifying the right-hand side of the equation:
(y - b)/m = x
Therefore, the equation in terms of (x) is:
x = (y - b)/m
This means that if we know the values of (y) and (m) and the y-intercept (b), we can use this equation to calculate the value of (x). This is a commonly used formula in algebra and is used to calculate the value of the independent variable (x) in a linear equation.
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Use the DISCRIMINANT of the quadratic equation to determine HOW MANY and what TYPE of solutions it will have.
x2+14x+49=0
Answer:
Step-by-step explanation:
What inverse operation should be used to isolate the variable in the equation j ÷ 12 = 50?
Answer:
multiplication...
Step-by-step explanation:
50 x 12 = 600
SO...
j = 600
SOO...
600 / 12 = 50
there u go
can i be brainiest...
In a city in Ohio, the sales tax rate is 5.75%. If the price of a book is $7, what is the total cost of the book including tax?
Answer:
Step-by-step explanation:
Can someone help me with this ?
Answer:
Step-by-step explanation:
Look at the image below. Identify the coordinates for point X, so that the ratio of AX : XB = 5 : 4
The coordinates of X that partitions XY in the ratio 5 to 4 include the following: X (-1.6, -7).
How to determine the coordinates of point X?In this scenario, line ratio would be used to determine the coordinates of the point X on the directed line segment AB that partitions the segment into a ratio of 5 to 4.
In Mathematics and Geometry, line ratio can be used to determine the coordinates of X and this is modeled by this mathematical equation:
M(x, y) = [(mx₂ + nx₁)/(m + n)], [(my₂ + ny₁)/(m + n)]
By substituting the given parameters into the formula for line ratio, we have;
M(x, y) = [(5(2) + 4(-6))/(5 + 4)], [(5(-11) + 4(-2))/(5 + 4)]
M(x, y) = [(10 - 24)/(9)], [(-55 - 8)/9]
M(x, y) = [-14/9], [(-63)/9]
M(x, y) = (-1.6, -7)
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
twenty people have been exposed to a particular disease. each one independently has a 35% chance of contracting the disease. what is the probability that at least half of the people (10 or more) will be infected with the disease? round to four decimal places. g
The probability that at least half of the people (10 or more) will be infected with the disease if twenty people have been exposed to a particular disease with each one independently having a 35% chance of contracting the disease is 0.1575 (rounded to four decimal places).
Given,
Number of people exposed to disease = 20
Probability that each person will contract disease = 35% = 0.35
Let X be the random variable that represents the number of people who contract the disease.
If X follows a binomial distribution, then the probability mass function (PMF) is given by:
\(PMF(X) = C(n,x) \times p^x \times (1-p)^(n-x)\)
where,n = 20 (number of trials),
x = 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20 (number of successes) and
p = 0.35 (probability of success)
The probability that at least half of the people (10 or more) will be infected with the disease can be computed as follows:
P(X ≥ 10) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)
P(X ≥ 10) = \([C(20,10) × (0.35)^10 × (1 - 0.35)^(20 - 10)] + [C(20,11) × (0.35)^11 × (1 - 0.35)^(20 - 11)] + [C(20,12) × (0.35)^12 × (1 - 0.35)^(20 - 12)] + [C(20,13) × (0.35)^13 × (1 - 0.35)^(20 - 13)\)] + \([C(20,14) × (0.35)^14 × (1 - 0.35)^(20 - 14)] + [C(20,15) ×(0.35)^15 × (1 - 0.35)^(20 - 15)] + [C(20,16) (0.35)^16 × (1 - 0.35)^(20 - 16)] + [C(20,17) × (0.35)^17 × (1 - 0.35)^(20 - 17)] + [C(20,18) × (0.35)^18 × (1 - 0.35)^(20 - 18)] + [C(20,19) × (0.35)^19 × (1 - 0.35)^(20 - 19)] + [C(20,20) × (0.35)^20 × (1 - 0.35)^(20 - 20)]\)
P(X ≥ 10) ≈ 0.1575
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find the radius of convergence r and interval of convergence i of the series. [infinity] 9n(x 10)n n n = 1
The radius of convergence (r) of the series is 10, and the interval of convergence (i) is (-10, 10).
To find the radius of convergence, we use the ratio test. Let's denote the series as Σ 9n(x - 10)n, where n ranges from 1 to infinity. Applying the ratio test, we have:
lim┬(n→∞)|9(n+1)(x-10)^(n+1)|/|9n(x-10)^n|
Simplifying the expression, we get:
lim┬(n→∞)|9(x-10)||n+1|/|n|
Since we want the limit to exist, we take the absolute value of x - 10:
lim┬(n→∞)|x-10||n+1|/|n|
This limit exists if |x - 10| < 1, which means the radius of convergence is 1. To find the interval of convergence, we need to determine the values of x that make the series converge. Considering the interval (-10, 10) will cover all the possible values of x that satisfy |x - 10| < 1, we conclude that the interval of convergence is (-10, 10).
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how to get brainiest I only got 2 brainiest
Answer:
To obtain a Brainlist, you must provide exceptional answers with solutions. If the questioner believes that your answer is exceptional, they may offer a Brainliest award using the award icon in the bottom right after two people have answered or a week of the solution pending. Selecting the Brainliest icon is greatly appreciated as it is essential for proceeding with Brainly ranks.
Answer:
This answer is farley easy but all u need to do is answer alot of question and just take it one step further so it makes you sound smarter, Then if the prerson that is asking the question thinks that ur answer is the best they will more than likely pick u as brianliest
I hoped this helped
Testing more properties of the Cobb-Douglas utility function Check if the Cobb-Douglas utility function u(x
1
,x
2
)=x
i
α
x
2
β
, where α,β>0, satisfies the following properties: (a) local nonsatiation, (b) decreasing marginal utility for both goods 1 and 2, (c) quasi-concavity, and (d) homotheticity.
The Cobb-Douglas utility function satisfies the properties of local non-satiation, decreasing marginal utility for both goods, quasi-concavity, and homotheticity.
The Cobb-Douglas utility function u(x1, x2) = xi^(α) * x2^(β), where α and β are both greater than zero, satisfies the following properties:
(a) Local non-satiation:
This property states that at each point of the consumption set, there is always another bundle that is arbitrarily close and strictly preferred. Thus, the function has local non-satiation.
(b) Decreasing marginal utility for both goods 1 and 2: The marginal utility of a good measures the utility obtained by consuming one more unit of it. The marginal utility of x1 can be obtained as:
MU1 = α * xi^(α−1) * x2^(β)
The marginal utility of x2 can be obtained as:
MU2 = β * xi^(α) * x2^(β−1)
Therefore, both marginal utilities are decreasing in x1 and x2, satisfying this property.
(c) Quasi-concavity:
The Cobb-Douglas function is quasi-concave. This means that the upper contour set of any level set of the function is convex. This can be proved by taking the second partial derivative of the function and checking whether it is negative or not.
(d) Homotheticity:
The Cobb-Douglas function is homothetic. This means that its shape is independent of the total level of utility. The proof can be achieved by checking whether the function is homogeneous of degree one or not. This is true, since multiplying the inputs by any positive scalar λ leads to a proportional increase in the output.
In conclusion, the Cobb-Douglas utility function satisfies all four properties - local non-satiation, decreasing marginal utility for both goods 1 and 2, quasi-concavity, and homotheticity.
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Given AD parallel to BC
Prove AED~CEB
use geometry proof please
Answer:
Because its a isoceles triangle
Step-by-step explanation:
Answer:
Step-by-step explanation:
A company sells cocoa powder in a cylindrical container that is 5 inches long with a circular base of diameter 4 inches. The company is planning to sell a family-size product that will use similar packaging scaled by a factor of 2.
The circumference of the original container is
inches. This is
inches less than the circumference of the new container.
(Question1)
A. 6. 28
B. 12. 57
C. 15. 7
D. 62. 8
(Question2)
A. 18. 84
B. 37. 68
C. 12. 57
D. 9. 42
1. The circumference of the original container is 12.57 inches.2. The circumference of the new container is 25.14 inches, which is 12.57 inches more than the circumference of the original container.
1. To find the circumference of a circle, we use the formula C = πd, where C represents the circumference and d represents the diameter.
Given that the diameter of the original container is 4 inches, we can calculate its circumference:
C = π * 4 = 12.57 inches.
2. The new container is scaled by a factor of 2, which means all its dimensions, including the diameter and circumference, will be twice that of the original container.
The diameter of the new container will be 2 * 4 = 8 inches.
Therefore, the circumference of the new container will be:
C = π * 8 = 25.14 inches.
The difference in circumference between the new and original containers is:
25.14 - 12.57 = 12.57 inches.
Therefore, the circumference of the original container is 12.57 inches, and the circumference of the new container is 25.14 inches, which is 12.57 inches more than the circumference of the original container.
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PLEASE HELP ASAP WILL MARK BRAINLEST!!!
Answer:
HELLLLLLLLLLLLLLLLLL NO
Step-by-step explanation:
An item is regularly priced at 67$ . It is now priced at a discount of 35% off the regular price.
HELP !!
Answer:
The new price is $43.55.
Step-by-step explanation:
$67 * .35 = $23.45; this is your discount amount.
To find the new price.
$67(original price) - $23.45(35% discount) = $43.55
Answer:
A product that normally costs $67 with a 35 percent discount will cost you $43.55, and you saved $23.45.
Step-by-step explanation:
credit to:
researchmaniacs.com
PLEASE EXPLAIN!!!
You are planning to use a ceramic tile design in your new bathroom. The tiles are equilateral triangles. You decide to arrange the tiles in a hexagonal shape as shown. If the side of each tile measures 11cm, what will be the exact area of each hexagonal shape?
A: 3,993 cm^2
B: 181.5√3 cm^2
C: 132√3 cm^2
D: 33cm^2
The exact area of each hexagonal shape is 181.5sqrt(3) cm^2. Option B
To determine the exact area of each hexagonal shape formed by the equilateral triangles, we need to calculate the area of one equilateral triangle and then multiply it by the number of triangles that make up the hexagon.
The formula to calculate the area of an equilateral triangle is:
Area = (sqrt(3) / 4) * side^2
Given that the side of each tile measures 11 cm, we can substitute this value into the formula to find the area of one equilateral triangle:
Area = (sqrt(3) / 4) * (11 cm)^2
= (sqrt(3) / 4) * 121 cm^2
= 121sqrt(3) / 4 cm^2
Now, since the hexagon is formed by six equilateral triangles, we can multiply the area of one triangle by 6 to find the total area of the hexagon:
Hexagon Area = 6 * (121sqrt(3) / 4 cm^2)
= 726sqrt(3) / 4 cm^2
= 181.5sqrt(3) cm^2
Therefore, the exact area of each hexagonal shape is 181.5sqrt(3) cm^2.
The correct answer is B: 181.5√3 cm^2.
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Evaluate the following if a = 3,b= -2 and c = 1
a3 - 2bc +5ac
Answer:
28
Step-by-step explanation:
(3)×3 - 2×(-2)×(1) + 5×(3)×(1)
9 - -4 + 15 = 28
Answer:
46
Step-by-step explanation:
Given
a³ - 2bc + 5ac ← substitute values for a, b, c into the expression
= 3³ - (2 × - 2 × 1) + (5 × 3 × 1)
= 27 - (- 4) + 15
= 27 + 4 + 15
= 46
Pleaseee help! I WILL MARK BRAINLIEST.
The approximate weights of two animals are 4.23 x 103 lbs. and 8.7 x 103 lbs. Find the total weight of the two animals. Write the final answer in scientific notation with the correct number of significant digits. 1.29 x 104 lbs. 1.3 x 104 lbs. 5.1 x 103 lbs. 12 x 103 lbs.
The total weight of the two animals is 1.3 x 10^4 lbs.
How to determine the total weight of the two animals?The given parameters are
Animal 1 = 4.23 x 103 lbs.
Animal 2 = 8.7 x 103 lbs.
Rewrite the parameters properly
Animal 1 = 4.23 x 10^3 lbs.
Animal 2 = 8.7 x 10^3 lbs.
The total weight of the two animals is calculated as
Total weight = Animal 1 + Animal 2
This gives
Total weight = 4.23 x 10^3 lbs + 8.7 x 10^3 lbs.
Factor out 10^3 lbs
Total weight = (4.23 + 8.7) x 10^3 lbs.
Evaluate the sum
Total weight = 12.93 x 10^3 lbs.
Rewrite as
Total weight = 1.293 x 10^4 lbs.
Approximate
Total weight = 1.3 x 10^4 lbs.
Hence, the total weight of the two animals is 1.3 x 10^4 lbs.
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help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The total cheese production in 2006 is 7.7 billion pounds and the total cheese production in 2014 is 9.7 billion pounds
The total cheese production in 2006From the question, we have the following function that can be used in our computation:
y = 7(1.03)ˣ
Such that
x = Number of years after 2003
In the year 2006, the value of x is calculated as
x = Current year - 2003
So, we have
x = 2006 - 2003
Evaluate
x = 3
Substitute x = 3 in the equation y = 7(1.03)ˣ
y = 7(1.03)³
Evaluate
y = 7.7
The total cheese production in 2014In the year 2014, the value of x is calculated as
x = Current year - 2003
So, we have
x = 2014 - 2003
Evaluate
x = 11
Substitute x = 11 in the equation y = 7(1.03)ˣ
y = 7(1.03)¹¹
Evaluate
y = 9.7
Hence, the amount of cheese is 9.7 billion pounds
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3. A random sample of 149 scores for a university exam are given in the table. Score, x 0≤x≤ 20 20 < x≤ 40 40 < x≤ 60 60 < x≤ 80 80 < x≤ 100 21 Frequency 14 32 43 39 a. Find the unbiased e
The unbiased estimate of the population mean is 13.78.The unbiased estimate of the population mean can be found using the formula:
$\overline{x} = \frac{\sum{x}}{n}$,
where $\overline{x}$ is the sample mean,
$\sum{x}$ is the sum of the sample scores, and n is the sample size.
Here, we are given the frequency distribution of the sample scores, so we first need to calculate the midpoint for each class interval.
The midpoint is found by adding the lower and upper bounds of each class interval and dividing by 2.
Using this information, we can construct a table of the frequency distribution with the class midpoints as shown below.
Score, x
FrequencyMidpoint (x)014.5 (0+29)/22114.523.5 (20+39)/234032.5 (40+59)/246039.5 (60+79)/25390.5 (80+99)/2
We can then calculate the sample mean as:$$\overline{x}=\frac{\sum{x}}{n}$$$$=\frac{(14)(14.5)+(32)(23.5)+(43)(32.5)+(39)(39.5)+(21)(90.5)}{149}$$$$=\frac{2051.5}{149}$$$$=13.78$$
Therefore, the unbiased estimate of the population mean is 13.78.
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