Answer:
c=25
Step-by-step explanation:
Since you are given \(x^{2}\)+10x+c
We know that in an equation of \(ax^{2}+bx+c\), when a = 1, c can be found by \((\frac{b}{2})^{2}\)
So c = \((10/2)^{2}\)=\(5^{2}\)=25
Carrie has 3gallons of paint Bryan has 10quarts of paint how many more pints do Carrie have than Bryan
Carrie has 4 more pints of paint than Bryan.
Carrie has 3 gallons of paint, which is equivalent to 12 quarts (1 gallon = 4 quarts). On the other hand, Bryan has 10 quarts of paint.
To compare the quantities in the same unit, we note that 1 quart is equal to 2 pints.
Carrie's 12 quarts of paint is equivalent to 12 × 2 = 24 pints.
Bryan's 10 quarts is equivalent to 10 × 2 = 20 pints.
To find the difference, we subtract Bryan's pint quantity from Carrie's:
24 - 20 = 4 pints.
Therefore, Carrie has 4 more pints of paint than Bryan.
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¿Cuál es el área de la superficie del cilindro con una altura de 7 millas y un radio de 5 millas?
Answer:
el Área del cilindro es de 25 millas
What is the number 6 to the right of 11 on a number line?
What is the number 6 to the right of 11 on a number line?
Numbers to the right mean addition, so:
11 + 6 = 17
Answer:
17
Step-by-step explanation:
See attached file :D
Given the points P (3, 5) and Q (-5, 7) on the cartesian plane such that R (x, y) is
the midpoint of PQ, find the equation of the line that passes through R and
perpendicular
to PQ.
Answer:
-22=22
Step-by-step explanation:
3,5-5,7=
-22/22
The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.
To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.
The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.
The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.
So, the coordinates of the midpoint R are (-1/2, 6).
Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:
(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)
Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:
(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))
Simplifying the equation:
(y - 6) = (2 / -8) \(\times\)(x + 1/2)
(y - 6) = -1/4 \(\times\)(x + 1/2)
4(y - 6) = -x - 1/2
Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.
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A =e+f/2 solve for e
The value of e can be calculated by e = A - f/2.
What is simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression.
For example, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form.
Simplification usually involves making the expression simple and easy to use later.
We have been given an expression as;
A =e+f/2
We need to find the solution for 'e'.
So,
A = e+f/2
Subtract from f/2 on each side, we get;
A - f/2 = e
Thus, e = A - f/2
Therefore, the value of e can be calculated by e = A - f/2.
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How many total possible outcomes are there on a standard 6 sided die?
Answer:
6 (may change if multiple number cubes are used; 2 dice = 6^2, 3=6^3, so on)
Translate the sentence into a mathematical equation-
The total revenue derived from selling x refrigerators is $160 per refrigerator times the number of refrigerators sold.
Let R represent the revenue and x the number of refrigerator sold.
The sentence into a mathematical equation is R = 160x
How to translate the sentence into a mathematical equation?The sentence "The difference between a number and ten is four" can be translated into a mathematical equation as:
x - 10 = 4
To solve for x, we can add 10 to both sides of the equation. This will give us:
x - 10 + 10 = 4 + 10
x = 14
Therefore, the number is 14.
More generally speaking, we can say that the equation for this sentence is x - a = b, where a is the number we are subtracting (in this case 10) and b is the result of the subtraction (in this case 4). To solve for x, we add a to both sides of the equation, giving us x = a + b.
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Triangle ABC has vertices A(0,7),B(5,-5),and C(10,7). Find the area of triangle ABC?.
Answer:
60 units²
Step-by-step explanation:
A = ½bh
Let the horizontal line AC be the base which has a length of 10 along the line y = 7
The vertical distance between this line and point B is 7 - (-5) = 12
A = ½(10)(12)
Here we reproduced the distribution from the simulation for 1025 random answer sets.
The variable is the proportion of matches with Student A's wrong answers on 16
questions. Suppose that a student had 4 matches with Student A's wrong answers on
these 16 questions.
What could we conclude?
Answer:
Okay. Somebody used as most to do this question because of the complexity of it, it gets a little time consuming to do it by hand. We have a committee. We need six people from a 22 of them were gonna be our president or vice president. And so because we're naming those thoughts, the order is important there. So the first thing I'm gonna do is find that that's gonna be 20 juice to row. Other four members are just coming from the remaining students.
So times this time is going to be the combination of the remaining 18 students of which I'm choosing for from. And so my answer is going to be 1,162,800 possible ways.
The assistant manager of a surf shop estimates that 65% of customers will make a purchase
Part A: How many customers should a salesperson expect until he finds a customer that makes a purchase?
Part B: What is the probability that a salesperson helps 3 customers until he finds the first person to make a purchase?
Using the binomial distribution, it is found that:
A. The salesperson should expect 1.54 customers until he finds one that makes a purchase.
B. There is a 0.0279 = 2.79% probability that a salesperson helps 3 customers until he finds the first person to make a purchase.
What is the binomial distribution formula?The formula is:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.For this problem, the probability of a success on a single trial is of p = 0.65.
The expected number of trials until q successes is:
E(X) = q/p
Hence, for one purchase:
E(X) = 1/0.65 = 1.54.
The salesperson should expect 1.54 customers until he finds one that makes a purchase.
For item B, the probability is P(X = 0) when n = 3 multiplied by 0.65, hence:
p = (0.35)³ x 0.65 = 0.0279.
There is a 0.0279 = 2.79% probability that a salesperson helps 3 customers until he finds the first person to make a purchase.
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Graph the system of equations on your graph paper to answer the question.
{y=x−4y=−x+6
What is the solution for this system of equations?
Answer: (5 , 1)
Step-by-Step explanation:
hihi your problem is a system of question y = x-4 and y = -x+6 okay so graph them both normally and then find the point where they intersect which is gonna be a coordinate point, and that's your solution !!
y = x-4
the y intersect is going to be 4
the slope is a positive 1 , going up to the right, through the positive quadrant, line is facing to the right
y = -x+6
the y intersect is going to be -6
the slope is going to be a -1 , following up the opposite way the line is going to face the left
once you graph them both you'll see the point of intersection, the solution
make sure you drew your lines very clearly !!!!
the solution is x = 5 and y = 1 which is also (5 , 1)
hopefully this was helpful !
find the x-intercepr and the y intercet of the line below. click on none if applicable.
Solution
The intercepts of a graph are points at which the graph crosses the axes.
The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero.
The y-intercept is the point at which the graph crosses the y-axis
The final answer
Suppose a normal distribution has a mean of 98 and a standard deviation of 6. What is P ( x <| 104 )
The probability of the data less than or equal to 104 is 84%.
What is the probability of the data less than or equal to 104?The probability of the data less than or equal to 104 is calculated by applying normal distribution formula.
In a standard normal distribution curve, we have the following;
One standard deviation below the mean = M - S.D = 34%
One standard deviation above the mean = M + S.D = 34%
The number of data that would be at 104 is calculated as;
M + S.D = 98 + 6
M + S.D = 104
So we can see that 104 lie at one standard deviation above the mean.
mean = 50%
one standard deviation above the mean = 34%
The total probability = 50% + 34% = 84%
P ( x <| 104 ) = 84%
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Round 6.487 and 2.049 to the hundredths place. What is the sum of the rounded numbers? *
Answer:
8.54
Step-by-step explanation:
If thousandth's place is ≥ 5 , then add 1 to the hundredth place.
6.487 = 6.49
2.049 = 2.05
6.487 + 2.049 = 6.49 + 2.05 = 8.54
HELP ME PLEASEEEEEEEEEEEEEEEE
Hi help please quick
Answer:
Initial amount: 934 g
After 80 years: 147 g
Step-by-step explanation:
\( A(t) = 934 (\dfrac{1}{2})^\frac{t}{30} \)
The initial amount occurs at t = 0.
\( A(0) = 934 (\dfrac{1}{2})^\frac{0}{30} \)
\( A(0) = 934 (\dfrac{1}{2})^0 \)
\( A(0) = 934 \times 1 \)
\( A(0) = 934 \)
After 80 years, t = 80.
\( A(80) = 934 (\dfrac{1}{2})^\frac{80}{30} \)
\( A(80) = 934 (\dfrac{1}{2})^\frac{8}{3} \)
\( A(80) = 934 (0.15749) \)
\( A(80) = 147 \)
Use a graphing calculator to sketch the graph of the quadratic equation, and then give the coordinates for the x-intercepts (if they exist).
y = negative x squared + 15 x minus 56
a.
(-7, 0); (-8, 0)
c.
(-7, 0); ( 8, 0)
b.
( 7, 0); (-8, 0)
d.
( 7, 0); ( 8, 0)
Please select the best answer from the choices provided
When y = -x² + 15x - 56 then coordinates are is (c) (-7, 0); (8, 0).
What are the quadratic functions?Quadratic functions are a type of polynomial function of degree 2, which can be expressed in form f(x) = ax² + bx + c, where a, b, and c are constants, and x is the variable.
The graph of the given quadratic equation y = -x² + 15x - 56 can be plotted using a graphing calculator or any graphing tool. The x-intercepts are the points on the x-axis where the graph intersects the x-axis, i.e., the points where y = 0. By plotting the graph, we can determine the x-intercepts to be (-7, 0) and (8, 0), which correspond to option (c) (-7, 0); (8, 0).
Option (a) and (b) have incorrect x-coordinates for the x-intercepts, and option (d) has both positive x-coordinates for the x-intercepts, which is not correct based on the graph of the given quadratic equation.
Hence, option (c) is the correct answer.
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A homeowner uses GGG hours of natural gas heat and PPP hours of heat from a pellet stove to heat her house one month, with a total of 575757 therms of output. How many therms per hour does the pellet stove output
Answer:
0.0792therms/hour
Step-by-step explanation:
Given
Total output per month = 57 therm of output
Required
Total output of the pellet stove in one hour
Since 1month = 24×30 = 720hours
Hence:
57therms = 720hours
x therm = 1hour
Cross multiply
720×x = 57
x = 57/720
x = 0.0792 therms/hr
Hence the pellet stove use 0.0792therms/hour
What is the domain of the square root function graphed below?
On a coordinate plane, a curve open up to the right in quadrant 4. It starts at (0, negative 1) and goes through (1, negative 2) and (4, negative 3).
x less-than-or-equal-to negative 1
x greater-than-or-equal-to negative 1
x less-than-or-equal-to 0
x greater-than-or-equal-to 0
Mark this and return
The domain of the square root function is x greater-than-or-equal-to 0, since the function is defined for all non-negative x-values or x-values greater than or equal to zero.
The domain of the square root function graphed below can be determined by looking at the x-values of the points on the graph.
From the given information, we can see that the curve starts at (0, -1) and goes through (1, -2) and (4, -3).
The x-values of these points are 0, 1, and 4.
Since the square root function is defined for any non-negative x-values or x-values more than or equal to zero, its domain is x greater-than-or-equal-to 0.
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image Find the area of the kite with diagonals a = 12 and b = 9. Question 5 options: A) 108 B) 72 C) 54 D) 30
Answer:
108
Step-by-step explanation:
Because the area formula is a*b and 12*9 is 180
So the answer is 180 which is A
I hope this helps :)
The area of kite is 54 units square.
The correct option is (C)
What is Area of kite?The area of a kite is half the product of the lengths of its diagonals.
The formula to determine the area of a kite is: Area = ½ × (d)1 × (d)2.
What is the diagonal of a kite?Diagonals of a kite intersect each other at right angles. The longer diagonal is the perpendicular bisector of the shorter diagonal. A kite is symmetrical about its main diagonal. The shorter diagonal divides the kite into two isosceles triangles.
Here d1 and d2 are diagonals.
Given:
d =12
d2= 9
Now, area of kite is
= ½ × (d)1 × (d)2.
=1/2*12*9
=1*2*108
=108/2
=54
Hence, the area of kite is 54 units square.
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plsss explain nd i’ll give brainliest answer
Answer: 118
Step-by-step explanation:
Angle ABC and Angle BCD add up to 180 degrees, because Line AB and line CD are parallel. Because of this, Angle BCD can be moved up the the angle above 3n-47. Because the two angles fall on to a straight line, we can say that (3n-47)+(n+7)=180. Solving, n=55, so angle ABC equals 118 degrees.
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Classify the triangle
The triangle in this problem is classified as follows:
Obtuse scalene.
How to classify the triangle?
According to the largest angle measure, the triangle is classified as follows:
The triangle in this problem is obtuse, as the largest angle measure is of 120º > 90º.
The triangle is also classified as scalene, isosceles or equilateral as follows:
Scalene: 3 different angle measures.Isosceles: 2 equal and 1 different angle measure.Equilateral: 3 equal angle measures.Hence the triangle in this problem is a scalene triangle.
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The given triangle can be classified as an; Obtuse Scalene Triangle
How to classify Triangles?Based on length of sides, triangles could be classified as;
Equilateral Triangle
Isosceles Triangle
Scalene Triangle
Based on angles, triangles could be classified as;
Acute Triangle
Obtuse triangle
Right angle triangle
Now, the triangle given shows that;
Two of the angles are less than 90 degrees with one of the angles greater than 90 degrees. Thus, this can be called an Obtuse triangle.
Also, since the three angles are not equal , it can be called a scalene triangle. Thus;
Triangle is called an Obtuse Scalene Triangle
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Callen knows that the area of square piece of artwork he owns is 289 square inches. Which shows the correct step he should take if he wants to find out the side lengths of the piece of artwork?
Answer:
D
Step-by-step explanation:
The formula for the area of a square is:
\(A=s^2\)
Where A is the area and s is the side length.
We already know that the area is 289 square inches. So, substitute 289 for A:
\(289=s^2\)
So, to find s, our side length, let's take the square root of both sides:
\(s=\sqrt{289}\)
So, our answer would be D.
And we're done!
Further notes: Each side length will be √289 or 17 inches.
Answer:
D
Step-by-step explanation:
The normal distribution is:
A. a distribution that can be modeled by a bell-shaped curve, with the
mean, median, and mode all the same value and the proportion for
any range of values defined in a table of normal curve areas (or
probabilities)
B. a bell-shaped density curve defined by the population mean (4),
which determines the position of the center of the curve, and the
population standard deviation (c), which determines the height
and spread of the curve.
C. any distribution that can be modeled by a density curve.
D. a set of values that lie directly on a plot of a bell-shaped density
curve, which is defined by the population mean (x) and the
population standard deviation ().
E. an imaginary histogram in which the width of each class is zero,
and the number of population members is infinite.
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
Graph the polygon with the given vertices and its image after a reflection in the line y = x.
A(6, - 3), B(1, - 2), C(4, 1)
The image of the polygon after a reflection in the line y=x is having vertices at A'(-3, 6), B'(-2, 1) and C'(1, 4) as shown in the diagram attached.
What is a reflection?A reflection is a sort of transformation that creates a new shape by flipping a shape, called the preimage, across a line, called the line of reflection (called the image). You may imagine what would occur if the form were turned over the line to graph a reflection.
A reflection is a type of transformation that involves flipping a shape, known as the preimage, over a line, known as the line of reflection, to produce a new shape (called the image).
You can picture what would happen if you flipped the form over the line in order to graph a reflection.
If a point A(x, y) is reflected about the line y = x,
the new point would be at A'(y, x)
Given the polygon with vertices at A(6, -3), B(1, -2) and C(4, 1).
The image of the polygon after a reflection in the line y=x has vertices at:
A'(-3, 6), B'(-2, 1) and C'(1, 4)
The image of the polygon is attached.
Therefore, according to the attached graphic, the vertices of the polygon's image after a reflection in the line y=x are located at A'(-3, 6), B'(-2, 1), and C'(1, 4).
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Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options. 8(x2 + 2x + 1) = –3 + 8 x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot x = –1 Plus or minus StartRoot StartFraction 4 Over 8 EndFraction EndRoot 8(x2 + 2x + 1) = 3 + 1 8(x2 + 2x) = –3
The steps peter could use in solving the quadratic equation is by applying the quadratic formula; x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot
How to solve quadratic equation?8x² + 16x + 3 = 0
using Quadratic formula
The following steps are involved
\(x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }\)
\(x = \frac{ -16 \pm \sqrt{16^2 - 4(8)(3)}}{ 2(8) }\)
\(x = \frac{ -16 \pm \sqrt{256 - 96}}{ 16 }\)
\(x = \frac{ -16 \pm \sqrt{160}}{ 16 }\)
\(x = \frac{ -16 \pm 4\sqrt{10}\, }{ 16 }\)
\(x = \frac{ -16 }{ 16 } \pm \frac{4\sqrt{10}\, }{ 16 }\)
\(x = -1 \pm \frac{ \sqrt{10}\, }{ 4 }\)
\(x = -1 \pm \frac{ \sqrt{5}\, }{ 2 }\)
\(x = -0.209431\)
or
\(x = -1.79057\)
Therefore, the steps peter could follow will give the result
\(x = -1 \pm \frac{ \sqrt{5}\, }{ 2 }\)
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Photo attached please help with answer
Answer:
a don't know if right but sorry if wrong
Given the radius of a circle is 7 cm, what is the circumference?
Answer:
14π or 43.96
Step-by-step explanation:
C = 2πr and we know that r = 7 so C = 14π or 43.96.
HELP ME PLEASEEEEEEEEEE
Answer: B
Step-by-step explanation: A=πr2
The formula for calculating the area of a circle is A = πr2 where pi (π) equals 3.14 and the radius (r) is half the diameter.
You must times 5 by 5 because of exponents and then times it by pie
5 times 5 = 25
25 times pie is 78.5