Solve the following quadratic equations by factoring. Show your solutions 2. ײ+2×=-1
Step-by-step explanation:
x²+2x=-1
x²+2x+1=0
x²+x+x+1=0
x(x+1)+1(x+1)=0
(x+1)(x+1)=0
(x+1)²=0
x+1=0
x=-1
let's solve :
\( {x}^{2} + 2x + 1 = 0\)\(x {}^{2} + x + x + 1 = 0\)\(x(x + 1) + 1(x + 1) = 0\)\((x + 1)(x + 1) = 0\)\((x + 1) {}^{2} = 0\)\(x + 1 = 0\)\(x = - 1\)hence, value of x = -1
how to find the area of a cricle
Answer:
A=πr2
Step-by-step explanation:
radius is half a circle and pi is 3.14
Lily exercises for a total of 150 minutes each week. She does weight training and cardio workouts. She spends more time doing cardio workouts. The difference between the time she spends on cardio workouts and the time she spends weight training is 72 minutes. How much time does Lily spend on each type of activity?
Answer:
She spends 111 minutes doing cardio workouts and 39 minutes doing weight training
Step-by-step explanation:
Call the time she spend on cardio workouts : a
And the time she spend on weight training : b
We have : a + b = 150
a - b = 72
Add them together, we get : a + b + (a-b) -> a+ b + a - b = 150 + 72 = 222
= 2a
=> 2a = 222, and we have a = 111
=> b = 150 - 111 = 39
Hope this helps :)
7 1/2 /(4 1/2-5 1/8) = ?
Si ha una bolsa de 1 1/2 kg le sacas 3/4 cuanto le queda
please help! absolute value problem
Answer:
first blank: -x
second blank x
Step-by-step explanation:
helpppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
A
Step-by-step explanation:
cause 4.am and 2.am so A
how many independent variables can you test in a single experiment?
The number of independent variables that can be tested in a single experiment depends on various factors, including the research design, resources, and the complexity of the study. In general, it is best to limit the number of independent variables to maintain control over the experiment and facilitate clear interpretation of results.
In simpler experiments, researchers often focus on a single independent variable to study its effect on the dependent variable while controlling for other factors. This allows for a clear cause-and-effect relationship to be established.
However, in more complex experiments, researchers may introduce multiple independent variables to examine their combined effects or interactions. This can provide insights into how different factors influence the outcome simultaneously.
The exact number of independent variables that can be tested in a single experiment varies, but it is generally recommended to keep the number manageable and avoid excessive complexity. This ensures that the experiment remains feasible, interpretable, and effectively addresses the research question or hypothesis.
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WRITE Math Suppose there was 1 centerpiece
for every 5 tables. Use counters to show the ratio of
centerpieces to tables. Then make a table to find the
number of tables if there are 3 centerpieces.
Answer: 15 tables.
Step-by-step explanation:
To show the ratio of centerpieces to tables using counters, we can use 1 blue counter to represent 1 centerpiece and 5 yellow counters to represent 5 tables. The ratio of centerpieces to tables can then be represented as 1:5, or 1/5.
To find the number of tables if there are 3 centerpieces, we can set up the following proportion:
3 centerpieces / 1 centerpiece = X tables / 5 tables
Cross-multiplying this proportion gives us:
3 * 5 tables = 1 centerpiece * X tables
Solving for X gives us the number of tables:
X = 15 tables
Therefore, if there are 3 centerpieces, there are 15 tables.
plz plz answer this question 10pts
Answer:
This question is not clear, you might want to add whole problem.
Step-by-step explanation:
The value of a company’s stock is represented by the expression x^2 – 2y and the company’s purchases are modeled by 2x + 5y. The company’s goal is to maintain a stock value of at least $7,000, while keeping the purchases below $1,000. Which system of inequalities represents this scenario?
x^2 – 2y > 7000
2x + 5y < 1000
x^2 – 2y ≥ 7000
2x + 5y < 1000
x^2 – 2y > 7000
2x + 5y ≤ 1000
x^2 – 2y ≤ 7000
2x + 5y ≤ 1000
The system of inequalities that represents this scenario is;
x² - 2y ≥ 7000
2x + 5y < 1000
How to express a system of Inequalities?We are given that;
Value of company's stock = x² - 2y
Now, purchases by the company is modeled by; 2x + 5y
We are now told that the company’s goal is to maintain a stock value of at least $7,000. This means the stock value must be greater than or equal to $7000. Thus, this inequality is;
x² - 2y ≥ 7000
Now, we are told that the purchases must be kept below $1000. This means less than $1000 and as such the inequality is;
2x + 5y < 1000
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Miss Smith took her bird to the vet 20 weighed 1 and 3/10 pounds the vet said that tweety weighed 4/10 pound more last year how much did tweety way last year
Answer:
1 and 7/10 pounds?
Step-by-step explanation:
because if its 4/10 more you add 3/10 and 4/10 im pretty sure
Answer:
PLEASE MARK BRAInliest
Step-by-step explanation:
tweety weighed 17/10 pounds last year.
How do I solve “1+2+3+4+5+…100=“
A. 1010
B. 5050
C. 5000
D. 1000
Answer:
5050
Step-by-step explanation:
we know that 100/2 is 50 and 50 x 100 is 5000
so now another 50 is remaining but we can't multiply but add so
1+2+3+4+5...100 = in simple form= 50x100+50=5050//
An experiment consists of casting a twenty–sided die (numbered 1 through 20) and observing the number that appears uppermost. Find the mean and variance of this experiment. (Round your variance to two decimal places.)
mean = ??
variance = ??
Rounded to two decimal places, the variance is 33.25.
What is the mean of a discrete uniform distribution?The mean of a discrete uniform distribution is given by the formula:
mean = (a + b) / 2
where a and b are the minimum and maximum values of the distribution. In this case, a = 1 and b = 20, so:
mean = (1 + 20) / 2 = 10.5
The variance of a discrete uniform distribution is given by the formula:
variance = (b - a + 1)^2 / 12
where a and b are the minimum and maximum values of the distribution. In this case, a = 1 and b = 20, so:
variance = (20 - 1 + 1)^2 / 12 = 399 / 12 = 33.25
Rounded to two decimal places, the variance is 33.25.
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Select the solid whose cross sections are dilations of some two-dimensional shape using a point directly above the shape as a center and scale factors ranging from 0 to 1.
Answer:
Cone
Step-by-step explanation:
Options:
a) Cone b) Cube c) Cylinder d) Triangular prism
From the given options (a) to (d), option (a) is true.
This is so, because.
The volume (V) of a cone is:
\(V_1 = \frac{1}{3}\pi r^2h\)
This is as a result of dilating the cylinder by 1/3 whose volume is:
\(V_2 = \pi r^2h\)
In other words:
\(V_1 = \frac{1}{3}V_2\)
i.e. the cross-section of the cylinder (V2) being dilated by 1/3 (which is between 0 and 1) gives the cone (V1)
Two friends, damian and nicole, took summer jobs. the equation y = 15.52
represents damian's earnings in dollars and cents, y, for working x hours.
nicole earned $475 in 25 hours.
Damian's hourly income is $3.48 less than Nicole's.
In this question we have been given that two friends, Damian and Nicole, took summer jobs.
An equation y = 15.52x represents Damian's earnings in dollars and cents, y, for working x hours.
Also given that Nicole earned $475 in 25 hours.
We need to find the amount by which Damian earns less per hour than Nicole.
From given equation Damian's hourly earnings would be,
for x = 1 hours
y = 15.52 x 1
y = $15.52
And Nicole's hourly earnings would be,
475 / 25 = = $19
Difference in incomes = 19 - 15.52
= $3.48
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Which image shows a plane slicing a cone to produce an ellipse?
Answer:
B
Step-by-step explanation:
took the assignment
The ellipse is obtained by slicing the cone at an angle. Then the correct option is B.
What is a conic section?A shape made up of a surface and a round cone intersecting. A conic section is sometimes a circle, an ellipse, a parabola, or a hyperbola, based on the direction of the surface with regard to the conical.
The ellipse is obtained by slicing the cone at an angle that passes through the surface of the cone.
Then the correct option is B.
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bes. and a black box. Suppose there are not other tosrces of Eont. 1) Draw ore light raps hiting each boc that showi what hapoers when blue lght hith that bex. Your rays shouid al start toom an emates
As the given statement has a lot of misspellings and grammatical errors, assuming that it is intended to be written as: Suppose there are no other sources of energy, and the question is to draw a light ray hitting each box to show what happens when blue light hits the box. Your rays should all start from an emanating source.
Assuming the question is about the interaction of blue light with bes and a black box, here's how the light rays would behave when they hit these boxes:
When blue light is incident on a bes (a type of Hungarian stew), it will be reflected and scattered, as is the case with any non-metallic substance. Blue light has a short wavelength, which causes it to scatter more than other colors in the visible spectrum. The short wavelengths of the blue light cause it to excite the molecules in the air, causing them to emit blue light in all directions, which is why the sky appears blue.
When blue light is incident on a black box, it will be absorbed since black absorbs all colors in the visible spectrum. When blue light is absorbed, its energy is converted into heat. Thus, the black box will warm up as it absorbs more and more blue light.
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If you can choose one scoop of ice cream and one topping how many different Sundaes can you make?
A)3
B)2
C)5
D)6
E)8
Answer:
the answer would be b
Step-by-step explanation:
Need help asap
x=4 and y= -9
2xy+15x
Answer:
12
Step-by-step explanation:
2xy+15x
Let x=4 and y= -9
2(-4)(-9) + 15(-4)
Multiply
72 -60
Subtract
12
Answer:
-12
Step-by-step explanation:
2(4)(-9)+15(4) is what it should look like.
suppose a digital camera worth $400 loses `\frac{1}{3}` of its value each year. how can we express the value of the camera, in dollars, after one year?
The value of the camera after one year is 267 dollars, which is 67% of its original value.
The value of the camera after one year can be expressed by the equation V₁ = V₀ - 0.33V₀, where V₀ is the original value and V₁ is the new value. In this example, V₀ = 400 and 0.33V₀ = 0.33(400) = 133. Thus, the value of the camera after one year is V₁ = 400 - 133 = 267 dollars.
In other words, the camera has depreciated by 33% of its original value in one year, so the new value is 67% of the original value. This means that the camera's value has decreased from 400 dollars to 267 dollars in one year.
The value of the camera after one year is 267 dollars, which is 67% of its original value.
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Calculate the integral and express your answer in simplest form. 2x s dx 5(5 - 4x²) ¹/
The integral of 2x / (5(5 - 4x²)¹/²) with respect to x simplifies to (1/5) * arcsin(2x/5) + C, where C is the constant of integration.
To solve the integral, we can start by simplifying the denominator. Notice that we have (5 - 4x²)¹/², which can be written as √(5 - 4x²).
Now, let's proceed with the integration step by step:
Multiply the numerator and denominator by √(5 - 4x²) to rationalize the denominator:
∫(2x / (5(5 - 4x²)¹/²)) dx = ∫(2x√(5 - 4x²) / (5(5 - 4x²))) dx
Separate the terms and simplify the integral:
∫(2x√(5 - 4x²) / (5(5 - 4x²))) dx = (2/5) ∫(x / √(5 - 4x²)) dx
Perform a substitution by letting u = 5 - 4x²:
Differentiate u with respect to x: du/dx = -8x
Rearrange to solve for dx: dx = -(1/8x) du
Substituting the values, the integral becomes:
(2/5) ∫(x / √u) (-1/8x) du
= -(1/40) ∫(1 / √u) du
Integrate the expression:
-(1/40) ∫(1 / √u) du = -(1/40) * 2√u + C
= -(1/20)√(5 - 4x²) + C
Simplify the expression:
-(1/20)√(5 - 4x²) + C = (1/20)√(4x² - 5) + C
Therefore, the final result is (1/20)√(4x² - 5) + C, where C is the constant of integration.
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a ow network with supplies is a directed capacitated graph with potentially multiple sources and sinks, which may have incoming and outgoing edges respectively.
A flow network with supplies is a directed capacitated graph where each edge has a capacity indicating the maximum flow that can pass through it. The flow in the network represents the movement of a certain resource (e.g., water, electricity, goods) from sources to sinks.
In a flow network with supplies, there may be multiple sources, which are nodes that generate the resource and have outgoing edges, and multiple sinks, which are nodes that consume the resource and have incoming edges.
The sources and sinks can have different supply or demand values, indicating the amount of resource they generate or consume.
The edges in the flow network have capacities that restrict the maximum flow that can pass through them. The capacity represents the limit on the amount of resource that can traverse the edge. The flow through an edge cannot exceed its capacity.
The objective in a flow network is to determine the maximum flow that can be sent from sources to sinks while respecting the capacities of the edges. This is typically solved using algorithms such as the Ford-Fulkerson algorithm or the Edmonds-Karp algorithm.
The concept of a flow network with supplies is important in various applications, such as transportation networks, communication networks, and supply chain management, where resources need to be efficiently distributed from multiple sources to multiple sinks, taking into account the capacity constraints of the network.
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Find the distance between \(y=1/2 x +2\) and \(x-2y=6\)
Show all work and give an exact distance!
Again the equations are:
\(y=1/2x+2\) and \(x-2y=6\)
Find the distance , give an exact distance , and show work!
The distance between the lines is 5 units
How to calculate the distance between the two lines?The equations of the lines are given as
y = 1/2x + 2
x - 2y = 6
We start by expressing the equation x - 2y = 6 in slope-intercept form
So, we have
x - 2y = 6
Subtract x from both sides
-2y = -x + 6
Divide by -2
y = 1/2x - 3
The equations are then represented as
y = 1/2x - 3 and y = 1/2x+2
Where the slopes are
m = 1/2
And the intercepts are
c₁ = -3
c₂ = 2
Because the slopes are the same, the lines are parallel lines
The distance between the lines is then calculated by subtracting the y-intercepts
So, we have
Distance = |-3 - 2 |
Evaluate
Distance = 5
Hence, the lines are 5 units apart
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Evaluate r(x)=−x−7 when x=−2,0, and 5.
Brainliest to right answer
Answer:
r(-2) = -5 , r(0) = -7 , r(5) = -12.
Step-by-step explanation:
if n is a known positive integer, for what value of k is ∫1kxn−1dx=1n ?
So in this question we say if N is a known positive injured For what value of K. is the integral from one decay of X to the power of n minus one dx Equal to one over N. Well let's see if I have the integral from one. Check X X to the power of N -1 DX. What do I do to evaluate that definite interval? The first thing I do is I add one to my exported X to the N power and then I divide by that new exposure. So X to the end over it. And I'm going to evaluate this On the interval from 1 to K. And so that's giving me okay to the end power over in minus 1 to the end power over in equals one over it. Now, certainly one to the power of N is just one. So I'm getting K to the power of N over and -1 over N equals one over N. Now I'll add one over end to each side so that I'm getting K to the N over N equals two over N. Now I multiply both sides by N. That gives us thank you K. To the power of N equals two. And now my goal is to solve for K. Right? So I'm going to have to raise both sides to some power to get rid of that ends power I can raise both sides to the power of one over N. I'm going to raise both sides To the power of one over N. The reason is when you have a power to a power, what do you do to those exponents? You multiply those expose right End Times one over N is just one. And so here on the left, I'm getting just K to the first power and this is equal to chew to the power of one of ren answer choice. D. My final answer. Another way that you might do it, you might take the route of each side. But then when you take the root of something, that's the same as raising it to the power of one over and as well. And so K two the K equals two to the power of one over N. We got our anti derivative plugged in our limits of integration and solve for K. That was our strategy. Hopefully that was helpful. Have a good rest of your day.
one of the sides of a triangle is divided into segments of 6 and 8 units by the points of tangency of the inscribed circle. if the radius of the circle is 4, then what is the length of the shortest side of the triangle?
The length of the shortest side of the triangle is 13.
We are given a triangle. One of the sides of the triangle is divided into segments of 6 and 8 units by the points of tangency of the inscribed circle. The radius of the circle is 4 units. We need to find out the length of the shortest side of the triangle. The diagram is attached below for reference.
The lengths of the corresponding tangents must be equal. Let the length of the remaining tangents be denoted by the variable "m". The area of the triangle can be calculated in two ways.
The first way is to add the sum of three triangles.
A = (1/2)×(6 + 8)×(4) + (1/2)×(6 + m)×(4) + (1/2)×(m + 8)×(4)
A = 28 + 12 + 2m + 2m + 16
A = 4m + 56
The second way is to use the formula having semi-perimeter.
A = √[s(s - a)(s - b)(s - c)]
A = √[(m + 14)(m)(8)(6)]
A = √[48m(m + 14)]
Both quantities must be equal.
4m + 56 = √[48m(m + 14)]
16(m + 14)² = 48m(m + 14)
m + 14 = 3m
2m = 14
m = 7
The lengths of the sides of the triangle are 13, 14, and 15. Hence, the length of the shortest side of the triangle is 13.
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Please help! Correct answer only!
In a carnival game, there is a machine that will shuffle a deck of 50 cards numbered from 1 to 50 and then spit one card out. If the number on the card is odd, you win $15. If the number on the card is even, you win nothing. If you play the game, what is the expected payoff?
$___
Answer:
$7.50
Step-by-step explanation:
Since there is a 50% chance that the card is odd, the expected payoffs would be $15 * 50%=0.5*15=7.5. Hope this helps!
A distribution in which all the values have the same frequency is called a(n) ______ distributiorectangularbimodalstandard.
A distribution in which all the values have the same frequency is called a rectangular distribution. This type of distribution is also known as a uniform distribution ,
because the probability of any given value occurring is equal to every other value in the distribution. Rectangular distributions can be represented graphically by a flat, straight line that runs across the entire range of values, indicating that each value has an equal chance of occurring.
This type of distribution is commonly used in probability and statistics, as well as in financial analysis and risk management. While rectangular distributions are relatively simple and easy to understand, they may not always accurately reflect the true nature of a dataset, particularly if there is a significant amount of variation or outliers.
It is important to note that bimodal and standard distributions have different properties and are not the correct terms for this scenario. Bimodal refers to a distribution with two distinct peaks, while standard distribution typically refers to a normal distribution with a mean of 0 and a standard deviation of 1.
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8. What expression is equivalent to: 35xy
10
5x7xrxy
-5 x 7 xcxy
5 x 7xy
3 x 2 x 3xy