Answer:
Once the equation is in standard form, factor the quadratic expression. 2x2 + 7x + 3 = 0 (2x + 1)(x + 3) = 0. Using the Zero Product Property set ...
2x2 + 7x = -3
2x2 + 7x + 3 = 0
Once the equation is in standard form, factor the quadratic expression.
2x2 + 7x + 3 = 0
(2x + 1)(x + 3) = 0
Using the Zero Product Property set each factor equal to 0 and solve for x.
2x + 1 = 0
2x + 1 - 1 = 0 - 1 x + 3 = 0
2x = -1 x + 3 - 3 = 0 - 3
2x 2 = -1 2 x = -3
x = -1 2
The solutions to the equation are -1 2 and -3.
Answer:
x^1 = 7-square root89/4
x^2 = 7+square root89/4
Step-by-step explanation:
A veterinarian uses weights in kilograms to figure out what dosages of medicines to prescribe for animals. For every 10 kilograms, there are 22 pounds. Calculate this animal’s weight in kilograms and explain your reasoning.
Fido the Labrador weighs 88 pounds.
The required weight of fido the labrador is 40 kilogram.
What is relation between kilogram and pound?
kilogram is the fundamental unit used to measure weight ans pound is used in UK to measure weight of any object.
As we have given in 10 kilogram, there are 22 pounds. So, one kilogram is equal to 2.2 pound.
According to given data in the question:We have to find the weight of fido the labrador in kilogram
here,weight in pound is 88
we know that one pound contain 1/2.2 kilogram
So, weight of 88 pound in kilogram = (88)1/2.2
weight in kilogram = 40 kilograms.
Hence, the required answer is 40 kilogram.
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1) You can spend at most $24 at the fair. Game
tickets cost $2 each, and ride tickets cost $4
each. You want to buy at least 3 game tickets
and more than 2 ride tickets. Write a system
of linear inequalities that represents the
situation. How many of each ticket can you
buy?
Answer:
2x+4y= 24
x≥3
y≤2
Step-by-step explanation:
Given data
total expenses= $24
let the number of tickets be x
and the number of rides be y
Tickets cost $2 each, and ride tickets cost $4
Hence the expression for the situation is given as
2x+4y= 24
x≥3
y≤2
Brian asked a group of people their favourite holiday destination.
The results are summarised in the table.
Destination UK Europe USA Africa Other
Frequency 204 84 36 204 12
How many degrees does one person represent?
Give your answer as a fraction in its simplest form.
Answer:
One person represents 360 degrees / (204 + 84 + 36 + 204 + 12) = 360 degrees / 540 = 4/6 = 2/3 degrees.
The slope of a hill is an average of 0.64. How
many metres will it rise for a horizontal distance of
32 metres? Round to the nearest tenth. (2)
Answer: rise = 20.48m = X
:Percent Grade = 0.048 x 100%
= 4.8%
Take a factor out of each square root.
√17x² where x > 0
The factor of quadratic equation is x√17
What is quadratic equation?A quadratic equation is one that contains a second-degree polynomial. They are extensively utilized in a wide range of disciplines, including engineering, architecture, finance, biology, and, of course, mathematics.
Factoring is frequently the simplest way to solve a quadratic equation. Finding expressions that can be multiplied together to get the expression on one side of the problem is the process of factoring. A quadratic equation is represented as a product of linear terms if it can be factored.
First you need to find perfect square factors of 17
17 = 1*17
√17 = √1*√17 = 1√17 = √17
we had also √x² = x
So the answer is x√17
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The length of a rectangular shaped field is 3/4 mile.If the area of the field is 1/2 square mile, what is the width of the field?
By definition of area of a rectangule, the width of the field is 2/3 mile.
Definition of areaThe area is the measure of a space delimited by a contour called the perimeter. In other words, area is the measure of the surface of a figure; that is, the measure of its interior region.
RectanguleA rectangle is a flat geometric figure with four sides, of which two sides that are opposite parallel to each other have the same length and the remaining two have another length.
Area of a rectanguleThe area of a rectangle is calculated from the two different sides, and it is calculated by multiplying the length (L) by the width (W):
Area= L×W
This caseIn this case, the length of a rectangular shaped field is 3/4 mile. If the area of the field is 1/2 mile², then the width can be calculated as:
1/2 mile²= 3/4 mile× W
Solving:
1/2 mile²÷ 3/4 mile= W
2/3 mile= W
Finally, the width of the field is 2/3 mile.
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John has a bag of red and blue marbles. John choses 2 marbles without replacing the first. Let a be the event where the first marble chosen is red. Let b be the event where the second marble chosen is blue. Which statement explains what the equation P (B/A) =0.6 means for those events.
Answer:
There is 0.6 chance that Joe a blue marble provided that he has already chosen a red marble
Step-by-step explanation:
Given
\(A \to Red\) ---- first
\(B \to Blue\) ---- second
\(P(B/A) = 0.60\)
Required
Explain what it means
The options are not given. So, I will answer on a general terms.
\(P(B/A) \to\) is the event that B occurs given that A occurs
Using the terms in this question;
\(P(B/A) \to\) there is 0.6 chance that Joe a blue marble provided that he has already chosen a red marble
Evaluate the expression below when x = 12.5 and y = 6
12x - 3y^2?
Wendy has two pieces of thread one is 80 feet long and the other is 12 feet long for so in production need to cut them up to produce many pieces of bread that are all the same length what is the greatest length and feet she can make them
The greatest length that Wendy can make the pieces of thread is 4 feet.
In order to produce many pieces of bread that are all the same length, Wendy needs to cut the threads into equal lengths.
To find the greatest length that she can make, we need to find the greatest common factor (GCF) of 80 and 12.
The GCF of 80 and 12 is 4. This means that Wendy can cut both threads into pieces that are 4 feet long.
For the 80-foot thread, she can cut it into 20 pieces that are 4 feet long (80/4=20).
For the 12-foot thread, she can cut it into 3 pieces that are 4 feet long (12/4=3).
Therefore, the greatest length that Wendy can make the pieces of thread is 4 feet.
In conclusion, by finding the GCF of the lengths of the two threads, we can determine the greatest length that Wendy can make the pieces of thread. In this case, the greatest length is 4 feet.
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What is the approximate solution to this equation? 15(3)^2x=90
Answer:
x ≈ 0.67
Step-by-step explanation:
\(15(3)^2x = 90\\\\15(9)x = 90\\\\135x = 90\\\\x = 90/135\\\\ x = 2/3\\\\x = 0.666...\\\\x = 0.67 \ (rounded \ to \ nearest \ hundredth )\)
Use implicit differentiation to find y' for 3x^5y^2 + In(xy^2) = 3
The differentiation is y' = [(1/x) - 15x^4y^2] / [6x^5y - (2y/x)].
To find y' using implicit differentiation, we first need to take the derivative of both sides of the equation with respect to x. This means we will be treating y as a function of x and using the chain rule when taking the derivative of the terms involving y.
Starting with the left-hand side, we have:
d/dx (3x^5y^2) = 15x^4y^2 + 6x^5y * (dy/dx)
For the right-hand side, we will need to use the product rule and the chain rule:
d/dx (In(xy^2)) = (1/xy^2) * (y^2 * (dx/dx) + x * 2y * (dy/dx))
= (1/x) + (2y/x) * (dy/dx)
Combining the derivatives from both sides, we get:
15x^4y^2 + 6x^5y * (dy/dx) = (1/x) + (2y/x) * (dy/dx)
Simplifying and solving for y', we get:
y' = [(1/x) - 15x^4y^2] / [6x^5y - (2y/x)]
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Someone explain please
Answer:
SA = 94 ft²
Step-by-step explanation:
To find the surface area of a rectangular prism, you can use the equation:
SA = 2 ( wl + hl + hw )
SA = surface area of rectangular prism
l = length
w = width
h = height
In the image, we are given the following information:
l = 4
w = 5
h = 3
Now, let's plug in the information given to us to solve for surface area:
SA = 2 ( wl + hl + hw)
SA = 2 ( 5(4) + 3(4) + 3(5) )
SA = 2 ( 20 + 12 + 15 )
SA = 2 ( 47 )
SA = 94 ft²
If this answer helped you, please leave a thanks!
Have a GREAT day!!!
What is a Dyscalculia?
Answer:
Dyscalculia is a learning disorder that affects a person's ability to understand number-based information and math
Which fraction results in a terminating decimal? 1/12 4/9 2/15 7/8
Answer:
7/8
Step-by-step explanation:
\(\frac{7}{8}=0.875\)
A health club charges a one-time sign-up fee and a monthly membership fee. The
equation y = 35x + 20 represents what the health club charges. Find the rate of
change.
=
Answer:
+35 per month
Step-by-step explanation:
What is the definition of undefined terms in Geometry?
Answer:
Step-by-step explanation:
"Undefined terms are those terms that don't require a formal definition. The four terms are point, line, plane, and set. A point is quite simply, a dot. Points are labeled with one capital letter."
Please help me answer the question
Write the equation of the line fully simplified slope-intercept form.
Answer:
y=-x+2
Step-by-step explanation:
The slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.
From the graph, we can see that the y-intercept is at (0,2) so the equation becomes y=mx+2.
Other points on the graph include (1,1) and (2,0). Plugging (1,1) into the slope-intercept equation, we get 1=(m)1+2. Solving this will give us m=-1.
We can confirm this by plugging m=-1 into the equation along with the point (2,0); 0=(-1*2)+2. It checks out!
So our final equation in slope-intercept form will be y=-x+2
Answer: Think it is y=2x+2
Step-by-step explanation: because whats your y intercept it is on the two. Whats your x intercept it is also on the a 2.
HELP QUICK PLEASE!!!
8. Calculate the return on investment in dollars and as a percentage for an investment that you purchase for $500 and sell for $600. TIP: If you don't remember how to calculate return on investment, review the Calculating ROI pages in Section 4, Lesson 2.
Answer:
100
Step-by-step explanation:
two cards are selected in a sequence from a standard deck. what is the probability that the second card is a jack given that the first card was a 2. (assume the 2 was not replaced.)
The probability that the second card is a jack given that the first card was a 2 is 52/51.
To calculate the probability that the second card is a jack given that the first card was a 2, we need to consider the remaining cards in the deck after the first card is drawn.
When the first card is drawn and it is a 2, there are 51 cards remaining in the deck, out of which there are 4 jacks.
The probability of drawing a jack as the second card, given that the first card was a 2, can be calculated using conditional probability:
P(Second card is a jack | First card is a 2) = P(Second card is a jack and First card is a 2) / P(First card is a 2)
Since the first card is already known to be a 2, the probability of the second card being a jack and the first card being a 2 is simply the probability of drawing a jack from the remaining 51 cards, which is 4/51.
The probability of the first card being a 2 is simply the probability of drawing a 2 from the initial deck, which is 4/52.
P(Second card is a jack | First card is a 2) = (4/51) / (4/52)
Simplifying the expression:
P(Second card is a jack | First card is a 2) = (4/51) * (52/4)
P(Second card is a jack | First card is a 2) = 52/51
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48. nbc news reported on may 2, 2013, that 1 in 20 children in the united states have a food allergy of some sort. consider selecting a random sample of 25 children and let x be the number in the sample who have a food allergy. then x∼bin(25,.05). a. determine both p(x≤3) and p(x<3). b. determine p(x≥4). c. determine p(1≤x≤3). d. what are e(x) and σx? in a sample of 50 children, what is the probability that none has a food allergy?
The following are the solutions to the given problems by using binomial probability principle:
P(X ≤ 3) = 0.966 and P(X < 3) = 0.873P(X ≥ 4) = 0.034 and P(1 ≤ X ≤ 3) = 0.689σ(X) = 1.090 and P(X = 0) = 0.0769What is defined as the binomial probability?The probability of precisely x successes on n multiple trials in an experiment with two possible outcomes is referred to as binomial probability (called a binomial experiment).If the success probability on an individual trial is p, therefore the binomial probability is: P(x = x) = nCx * p^x * q^(n-x)p = 0.05q = 1 - 0.05 = 0.95n = sample size = 25 children1.) P(X ≤ 3)
P(X ≤ 3) = p(x = 0) + p(x = 1) + p(x = 2) + p(x = 3)
Use a binomial probability calculator :
P(X ≤ 3) = 0.277 + 0.365 + 0.231 + 0.093
P(X ≤ 3) = 0.966
2.) P(X < 3)
P(X < 3) = p(x = 0) + p(x = 1) + p(x = 2)
Use a binomial probability calculator :
P(X < 3) = 0.277 + 0.365 + 0.231
P(X < 3) = 0.873
3.)P(X ≥ 4)
P(X ≥ 4) = p(x = 4) + p(x = 5) +...+ p(x = 50)
Use a binomial probability calculator :
P(X ≥ 4) = 0.034
4.) P(1 ≤ X ≤ 3)
P(1 ≤ X ≤ 3) = p(x =1) + p(x =2) + p(x =3)
Use a binomial probability calculator :
P(1 ≤ X ≤ 3) = 0.365 + 0.231 + 0.093
P(1 ≤ X ≤ 3)= 0.689
D.) σ(X)
E(X) = np = 25 × 0.05
E(X) = 1.25
σ(X) = √(npq)
σ(X) = √(25 × 0.05 × 0.95)
σ(X) = √1.1875
σ(X) = 1.090
E. Probability for none do have food allergy :
P(X = 0) = ⁵⁰C₀ × 0.05^0 × 0.95^50
P(X = 0) = 0.0769
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Find the area of the parallelogram whose vertices are listed. (0,0),(3,6),(8,2),(11,8) The area of the parallelogram is square units.
The area of the parallelogram with vertices (0,0), (3,6), (8,2), and (11,8) is 0 square units.
To find the area of a parallelogram with given vertices, we can use the formula:
Area = |(x1y2 + x2y3 + x3y4 + x4y1) - (y1x2 + y2x3 + y3x4 + y4x1)| / 2
Given the vertices:
A = (0, 0)
B = (3, 6)
C = (8, 2)
D = (11, 8)
We can plug these coordinates into the formula to calculate the area:
Area = |(0*6 + 3*2 + 8*8 + 11*0) - (0*3 + 6*8 + 2*11 + 8*0)| / 2
Area = |(0 + 6 + 64 + 0) - (0 + 48 + 22 + 0)| / 2
Area = |70 - 70| / 2
Area = 0 / 2
Area = 0
Therefore, the area of the parallelogram with vertices (0,0), (3,6), (8,2), and (11,8) is 0 square units.
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Which expression is equivalent to 1
5(15 + 10x - 5)?
2 + 2x
2 - 2x
-2 + 2x
-2 - 2x
Answer:
2x + 2
Step-by-step explanation:
LOLOL☝️answer is up there☝️LOLOL
Under what circumstances is the phi-coefficient used?
A. When one variable consists of ranks and the other is regular, numerical scores
B. When both variables consists of ranks
C. When both X and Y are dichotomous variables
D. When one variable is dichotomous and the other is regular, numerical scores
Option D: When one variable is dichotomous and the other is regular, numerical scores.
The phi-coefficient is used when one variable is dichotomous and the other is regular, numerical scores. It is a measure of the association between two dichotomous variables, similar to Pearson’s correlation coefficient for continuous variables.
The phi-coefficient is an effective way to compare the difference between two variables because it compares the difference between the variables rather than the absolute values of the variables.
For instance, it is commonly used in psychology, social science, and other fields when the research focuses on categorical variables.
The answer is D: When one variable is dichotomous and the other is regular, numerical scores.
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Find the volume of the larger solid given the information below.
V =125 m^3
V = ? m^3
SA = 200 m^2
SA = 288 m^2
Answer:
The volume of the larger solid can't be determined with the information provided.
This is because you only know the volume and surface area of one solid, but you don't know the shape or dimensions of either solid. The volume and surface area are not enough to determine the shape, size or the volume of the larger solid.
In general, the relationship between the volume and the surface area of a solid is dependent on the shape of the solid. For example, a cube has a constant ratio of surface area to volume, while a sphere has a different ratio. So, knowing the surface area alone doesn't allow us to calculate the volume.
What value is passed as the tax_percentage argument in the function call split_check(60.52, 5, .07, tip_percentage=0.18)? answer error if an error occurs.
In the function call, the argument tax_percentage is assigned the value of 0.07.
In the function call split_check(60.52, 5, .07, tip_percentage=0.18), the value passed as the tax_percentage argument is 0.07.
The function split_check is being called with the following arguments:
60.52 as the amount of the check
5 as the number of people to split the check among
0.07 as the tax percentage
0.18 as the tip percentage (provided as a keyword argument tip_percentage=0.18)
Therefore, the value 0.07 is passed as the tax_percentage argument in the function call.
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A model rocket is launched from the top of a building. The height (in meters) of the
rocket above the ground is given by f (t) = -4t² + 16+ + 12 where t is the time (in
seconds) since the rocket was launched.
Answer:
boba
Step-by-step explanation:
asbgd hdjdjn126 = 57 round it to 58
PLEASE HELO ASAP WILL GIVE BRAINLEAST TO RIGHT ANSWER
Answer:
Option D.
Step-by-step explanation:
hope it helps...
20 points to answer a estimate question
Answer:
The total cost = $714
Step-by-step explanation:
Given
Monitor cost = $287Scanner cost = $58Keyboard cost = $49Printer cost = $320The total cost can be determined by adding the costs of all the pieces of equipment.
Thus,
Total cost = Monitor cost + Scanner cost + Keyboard cost + Printer cost
= $287 + $58 + $49 + $320
= $714
Therefore, the total cost = $714
due in 1 hour ok help
Answer:
x = 13.2
Step-by-step explanation:
We know that
sin theta = opp / hyp
sin 27 = y/x
sin 27 = 6/x
x sin 27 =6
x = 6/sin 27
x=13.21613559
Rounding to 1 decimal place
x = 13.2
Quadratic function in standard form having zeros of 3 and 1/2
The standard form of a quadratic function is:
`f(x) = ax^2 + bx + c`
If the zeros of the function are 3 and 1/2, then the factors of the function are:
`(x - 3)` and `(x - 1/2)`
To find the quadratic function using these factors, you can first multiply them together:
`(x - 3)(x - 1/2) = x^2 - 7/2x + 3/2`
Now we have:
`f(x) = x^2 - 7/2x + 3/2`
This is the quadratic function in standard form that has zeros of 3 and 1/2.