Answer:
a= 0
b= \(-\frac{\sqrt{42} }{12}\)
Step-by-step explanation:
We can rewrite the expression to be:
\(\frac{i\sqrt{7} }{i^{2}\sqrt{24} }\)
We then can cancel out the i and we get
\(\frac{\sqrt{7} }{\sqrt{24} i}\)
Can be rewritten as
\(\frac{\sqrt{7} }{2\sqrt{6} i}\)
We then rationalize and get
\(-\frac{\sqrt{42} }{12} i\)
Craig went bowling with $25 to spend. He rented shoes for $5.00 and paid $4.00 for each game. What was the greatest number of games Craig could have played?
Answer:
5 games
Step-by-step explanation:
Answer:
6 games.
Step-by-step explanation:
25 - 5 = 20 {We subtract 5 from 25 because craig has 25$ to spend, and are renting shoes for 5$. The rest of the money is going towards the cost PER game, shown in step 2.}
20 divided by 4 = 6. {4$ is the cost of each game. Therefore, divide 20 by 4.}
hope this helped! Have a great day/night!! :')
can someone please solve and explain how you got your answer, WILL GIVE BRAINLIEST!!!
Answer:
A, graph 4, S(0, 9)B, graph 3, R(9, 0)C, graph 1, P(3, 9)D, graph 2, Q(-3, 0)Step-by-step explanation:
You want to identify the graphs that go with each of these functions, along with a particular point on the curve.
y = x² +3x +9y = (x +3)(x -9)y = (x -3)² +9y = -(x -9)(x +3)Quadratic features of interestThe equations are written here in standard form, factored form, and vertex form. (The "factored form" is sometimes called "intercept form.") Each of these forms can be analyzed for characteristics relevant to identifying the corresponding graph.
In general, we can readily identify the opening direction, based on the sign of the leading coefficient. Depending on the form, we can also identify zeros, the vertex, and the y-intercept.
Standard formThe line of symmetry (x-coordinate of the vertex) of the equation in the form ax² +bx +c is x = -b/(2a). That is, it will be left of the y-axis when the coefficients 'a' and 'b' have the same sign.
The graph of equation A will be graph 4, the only one with its vertex left of the y-axis. The y-intercept is the constant: point S = (0, 9).
Factored formEquation B has a positive leading coefficient, so opens upward. The zeros of the factors are -3 and +9, so identify the places where the graph crosses the x-axis. Graph 3 is the only one that opens upward and has x-intercepts. Point R is (9, 0).
Vertex formThe vertex form of a quadratic is ...
y = a(x -h)² +k . . . . . . . vertex (h, k); leading coefficient 'a'
Equation C has its vertex at (h, k) = (3, 9) and opens upward (a>0). Graph 1 is the only one matching those characteristics. Point P is the vertex, so point P is (3, 9).
Leading coefficientEquation D is the same as equation B, but with a negative leading coefficient. That is, it opens downward and crosses the x-axis in two places, at x = -3 and x = 9. Graph 2 is matches this description. The left zero is point Q, (-3, 0).
<95141404393>
Can anybody help me pls
Answer:
2,3 i think its been a while scince i did slopes
Step-by-step explanation:
Answer:
it goes 3 to the right
2 to the up
Rise/Run
so it is a 2/3
Please explain your answer. Will mark Brainliest (question 9)
The initial investment of the function is 20 dollars.
The rate growth in percentage is 4%.
The investment after 10 years is 29.6 dollars.
How to solve function?The function \(y=20(1.04)^{t}\) represents the value y of a saving account after t years.
Therefore, the initial investment of the function is 20 dollars.
The rate growth in percentage can be calculated as follows;
rate growth in percent = 0.04 × 100
rate growth in percent = 4 %
Let's find the value of the investment after 10 years.
Therefore,
\(y=20(1.04)^{t}\)
t = 10
\(y=20(1.04)^{10}\)
\(y=20(1.48024428492)\)
y = 29.6048856984
Therefore, the investment after 10 years is as follows:
y = 29.6 dollars
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is the main idea one word
Answer:
No, It should be a complete statement/ sentence
Step-by-step explanation:
write a question in y=a x b^x whose graph passes through the Coordinate points (2,12) and (3,24)
The graph of y = 3 x 2^x passes through the coordinate points (2,12) and (3,24).
To write a question in the form of y=a x b^x that passes through the coordinate points (2,12) and (3,24), we need to solve for the values of a and b.
First, let's substitute the coordinates (2,12) into the equation:
12 = a x b^2
Next, let's substitute the coordinates (3,24) into the equation:
24 = a x b^3
We now have two equations with two unknowns (a and b), which we can solve using algebra.
From the first equation, we can solve for a:
a = 12 / b^2
We can then substitute this value of a into the second equation:
24 = (12 / b^2) x b^3
Simplifying this equation, we get:
2 = b
We can then substitute this value of b back into the equation for a:
a = 12 / 2^2
a = 3
Therefore, the equation of the graph that passes through the coordinate points (2,12) and (3,24) is:
y = 3 x 2^x
We can check that this equation is correct by plugging in the coordinates:
When x = 2: y = 3 x 2^2 = 12
When x = 3: y = 3 x 2^3 = 24
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A car company charges customers an initial charge plus a daily charge to rent cars. The initial charge is $40 and the daily charge is $35. The rental company charged Frank $180. Create an equation that can be used to find the number of days, x, that Frank rented the car.
Answer:
Total Charge = Initial Charge + Daily Charge x Number of Days
Step-by-step explanation:
Let's assume that x is the number of days that Frank rented the car.
The initial charge for the rental is $40, which is a one-time charge, so it does not depend on the number of days.
The daily charge for x days is $35 per day. Therefore, the total charge for x days can be calculated as:
Total Charge = Initial Charge + Daily Charge x Number of Days
Total Charge = $40 + $35x
We know that Frank was charged $180, so we can set the total charge equal to $180 and solve for x:
$40 + $35x = $180
Subtracting $40 from both sides gives:
$35x = $140
Dividing both sides by $35 gives:
x = 4
Therefore, Frank rented the car for 4 days.
Please help me ASAP please olease
Answer:
x=100 degree's
Step-by-step explanation:
Its 100 degrees because you add 80 and 20 degrees and because I think they might be called congruent angles.
Answer:
pretty sure it's just 100, just add 80 and 20, angles are opposite of each other.
Solve the inequality. Graph the solution set and write it in interval notation. x - 6 >= - 9
Answer:
[-3,+oo)
Step-by-step explanation:
x >= 6 -9
x>= -3
[-3, +oo)
What is the meaning of "what meaning of a formula "\(\varphi (u_{i},...u_{n})\)"?
The formula "(u1,..., un)" is a tuple, which is an ordered list of elements. In this case, the elements are u1, u2, ..., un.
What is a tuple?A tuple can be used to represent a set of data, such as the names of people, the scores of students on a test, or the coordinates of points on a graph.
In the context of the quote provided, the formula "(u1,..., un)" is used to represent a set of variables that are all free variables in the formula. A free variable is a variable that is not bound by a quantifier. In this case, the quantifiers are the existential quantifiers "Є".
A sentence is a formula that does not have any free variables. In this case, the sentence is the formula that is obtained by replacing the tuple "(u1,..., un)" with a specific set of values for the variables u1, u2, ..., un.
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perimiter question asap answer
The perimeter of the figure is 58 m.
To find the perimeter of the given figure we can divide the figure in three rectangles.
Rectangle 1:
Perimeter= 2 (l + w)
= 2(5 + 2)
= 2 x 7
= 14 m
Rectangle 2:
Perimeter= 2 (l + w)
= 2(5 + 1)
= 2 x 6
= 12 m
Rectangle 3:
Perimeter= 2 (l + w)
= 2(14 + 2)
= 2 x 16
= 32 m
So, the perimeter of the figure is
= 14 + 12 + 32
= 58 m
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whatre the values of x and y
By using the concept of internal angles of a triangle, the solution of the system of linear equations related to the geometrical system is (x, y) = (40, 40).
What are the values of two variables associated with two angles from a right triangle?
In this system we have a geometrical system formed by two right triangles with a common hypotenuse. Right triangles are triangles where one of its internal angles are right angles and the sum of the measures of the internal angles within a triangle equals 180°. Then, this geometrical system can be modelled by using the following linear equations:
(x + 20) + 90 + 30 = 180 (1)
20 + 90 + (y + 30) = 180 (2)
By using the concept of internal angles of a triangle, the solution of the system of linear equations related to the geometrical system is (x, y) = (40, 40).
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(5,-2)
Can someone help
Answer: (5, -2)
Step-by-step explanation: no question boss
Answer:
I can probably help but I don`t really understand what you`re asking. Put your question in the comments and I`ll do my best to answer!
A hollow metal pipe of internal diameter 7cm and external diameter 8cm is 6.16m long calculate the volume of metal making the pipe in cubic centimetres
Answer:
The volume of the hollow metal pipe is approximately 72.571 cubic centimeters.
Step-by-step explanation:
The volume of the metal is the space occupied by the hollow pipe. Since it is a hollow cylinder, the volume (\(V\)), in cubic centimetres, is defined by following expression:
\(V = \frac{\pi}{4} \cdot (D_{e}^{2}-D_{i}^{2})\cdot l\) (1)
Where:
\(D_{e}, D_{i}\) - External and internal diameters, in centimetres.
\(l\) - Length, in centimetres.
If we know that \(D_{i} = 7\,cm\), \(D_{e} = 8\,cm\) and \(l = 6.16\,cm\), then the volume of the hollow metal pipe is:
\(V = \frac{\pi}{4} \cdot (D_{e}^{2}-D_{i}^{2})\cdot l\)
\(V\approx 72.571\,cm^{3}\)
The volume of the hollow metal pipe is approximately 72.571 cubic centimeters.
Factor 21x^2 - 14x - 56
Answer:
7((x-2)(3x+4))
Step-by-step explanation:
Common factor of 7 in this quadratic formula. \(7(3x^2-2x-8)\); -8 * 3x^2 = -24x^2, now find factors of this product that equal to -2x when added. The factors that fit this is -6x and 4x. So, if you make a generic rectangle you can find the product. You get 7((x-2)(3x+4))
Quick!!! Urgent!!!!!!!!!
Answer:
my best answer for this is B. False.
I calculated as fast as i can.
It took Ms. Hernandes 4/5 hours
to drive 3/10 of the way to her
uncles house. How many hours
did it take to drive to her unde
house?
Answer:
2 2/3 hours or 2 hours and 4o minutes
Step-by-step explanation:
set up a proportion
\(\frac{time}{distance}\) = \(\frac{time}{distance}\)
\(\frac{\frac{4}{5} }{\frac{3}{10} }\) = \(\frac{h}{1}\)cross multiply and solve for h
\(\frac{3}{10}\) h = \(\frac{4}{5}\) Multiply both sides by \(\frac{10}{3}\)
\((\frac{10}{3})\)\(\frac{3}{10}\) h = \((\frac{10}{3})\)\(\frac{4}{5}\) Multiply and then divide the top and bottom by 5
h = \(\frac{8}{3}\) o r2 \(\frac{2}{3}\)
what is dynamic environment?
Answer:
A dynamic environment is a business environment that is rapidly changing. In a dynamic market, businesses have to adapt quickly to changes and develop new ideas, products and services to keep up with technology and new trends.
Step-by-step explanation:
Sample Responses Label axes according to input
and output variables. Plot the ordered pair of the
independent and dependent variable on the
coordinate plane. Identify if there is a relationship
Which of the following did you include in your
response?
O Label the x-axis the input variable, age.
O Label the y-axis the output variable, texting speed.
O Plot the points according to age and texting speed.
O Identify a relationship between the change in
texting speed as age increases.
The following elements were included in the response: labeling x-axis as age, labeling y-axis as texting speed, plotting points according to age and texting speed, and identifying a relationship between texting speed and age.
In the response, the following elements were included:
1. Labeling the x-axis as the input variable, age: This is important to indicate the independent variable being plotted.
2. Labeling the y-axis as the output variable, texting speed: This is crucial to indicate the dependent variable being represented.
3 Plotting the points according to age and texting speed: This involves placing the ordered pairs (age, texting speed) on the coordinate plane, with age values on the x-axis and texting speed values on the y-axis.
4. Identifying a relationship between the change in texting speed as age increases: By analyzing the plotted points and examining the pattern or trend, one can determine if there is a relationship between age and texting speed. For example, if the texting speed generally increases as age increases or if there is a linear or nonlinear relationship between the two variables.
Including all of these elements allows for a comprehensive analysis of the relationship between age and texting speed, providing a visual representation and enabling the identification of any patterns or trends.
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Consider the phrase "the sum of 3 times a number and the quotient of the number and 4." Let’s break it down. You want the sum of two values. The first value is 3 times a number. What expression represents 3 times a number?
9514 1404 393
Answer:
3x
Step-by-step explanation:
If x represents the number, then "3 times a number" is 3x.
__
Additional comment
"The quotient of the number and 4" is x/4.
The sum of those two expressions is ...
3x + x/4
three adverbs in the sentence below. Because it was raining hard, the driver was unable to see clearly and almost crashed his shiny new car
i know it is not a collage question but i am only 8 please help
40 points
The three adverbs in the sentence are:
hard (modifying the verb "raining")
clearly (modifying the verb "see")
almost (modifying the verb "crashed")
1) "Hard" is an adverb of manner that describes how the rain was falling. It indicates that the rain was falling with intensity or force, which made it difficult for the driver to see.
2) "Clearly" is an adverb of manner that describes how the driver was seeing. It indicates that the driver was having difficulty seeing due to the heavy rain, which was affecting their vision.
3) "Almost" is an adverb of degree that modifies the verb "crashed." It indicates that the driver came very close to crashing their shiny new car, but managed to avoid a collision at the last moment.
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A right circular cone is intersected by a plane that passes through the cone's
vertex and is parallel to its base, as in the picture below. What is produced
from this intersection?
OA. A pair of intersecting lines
OB. A point
OC. A pair of parallel lines
OD. A parabola
Answer:
B. A point
Step-by-step explanation:
You want a description of the intersection between a plane and a cone given that the plane is parallel to the base and passes through the vertex of the cone.
VertexThe vertex of a cone is a single point. If a plane passes through that, but does not intersect the base of the cone, it will not intersect anywhere else.
The intersection is one point.
__
Additional comment
Figure f in the attachment illustrates this case.
Please help!
Whoever answers right gets brainliest!!!!
Answer:
\(y - 4 = - 3(x - 2)\)
If g(x) is the graph of f(x) shifted up 2 units, write a formula for g(x)
If g(x) is the graph of f(x) where f(x) and g)(x) both are functions and f(x) is shifted up 2 units, then the formula for g(x) is g(x)= f(x) + 2
What is a function?A function from one set X to another allocates exactly one element of the other set Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain. Initially, functions were just an idealized representation of the relationship between two changing quantities.
Here, we have
Given: If g(x) is the graph of f(x) shifted up 2 units. Here f(x) and g(x) are functions.
We have to write the formula for g(x).
Shifting up 2 units means you add 2 to f(x).
Shifted right 0 unit means you subtract 0 from the argument of the function f(x) (i.e. from x).
g(x) = f(x - 0) + 2
g(x) = f(x) + 2
Hence, the formula is g(x) = f(x) + 2
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Write an equation from data table.
The equation for the given data table using the regression line is y = 1.376x + 4.33
What is the regression line of the data set?The regression line of a data set is the line that shows the best-fitted line of the regression coefficients. These regression coefficients can be described as approximates of some unknown parameters to explain the relationship between a predictor variable and the corresponding response.
In essence, the regression coefficients are applied to predict the value of an unknown variable by the usage of a known variable.
From the given data set, the equation that could be represented using a regression line is: y = 1.376x + 4.33
Please NOTE, that due to the table required, the mathematically solutions can be found in the photos attached below.
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solve each system of equation below by graphing. PLEASEE HELPPPP
Step-by-step explanation:
Substitute where x=0, 1, 2, 3and y=0, 1,2,3
And plot in the graph by joining the points
I am extremley confused and have no idea how to solve this, can somebody explain to me?: -ax^2+2x+a-5 if a=7 and x=-5
Answer:
Step-by-step explanation:
To evaluate the expression -ax^2 + 2x + a - 5 when a = 7 and x = -5, we simply substitute these values into the expression and simplify:
-ax^2 + 2x + a - 5
When a = 7 and x = -5, this becomes:
-7(-5)^2 + 2(-5) + 7 - 5
Simplifying this expression using the order of operations (PEMDAS), we get:
-7(25) - 10 + 7 - 5
= -175 - 8
= -183
So, when a = 7 and x = -5, the value of the expression is -183.
Answer:
when a = 7 and x = -5, the value is -183.
Step-by-step explanation:
-ax^2 + 2x + a - 5
When a = 7 and x = -5, this becomes:
-7(-5)^2 + 2(-5) + 7 - 5
-7(25) - 10 + 7 - 5
= -175 - 8
= -183
Identify the type I error and the type II error that corresponds to the given hypothesis. The proportion of people who write with their left hand is equal to 0.32. Which of the following is a type I error? A. Reject the claim that the proportion of people who write with their left hand is 0.32 when the proportion is actually different from 0.32. B. Fail to reject the claim that the proportion of people who write with their left hand is 0.32 when the proportion is actually 0.32. C. Fail to reject the claim that the proportion of people who write with their left hand is 0.32 when the proportion is actually different from 0.32. D. Reject the claim that the proportion of people who write with their left hand is 0.32 when the proportion is actually 0.32.
Answer:
Type 1 error :
D. Reject the claim that the proportion of people who write with their left hand is 0.32 when the proportion is actually 0.32.
Type 11 error :
C. Fail to reject the claim that the proportion of people who write with their left hand is 0.32 when the proportion is actually different from 0.32.
Step-by-step explanation:
A type 1 error is committed when a true null rejected. That is an incorrect rejection of a true null. Hence, by rejecting the claim that proportion ofbpop
Type 2 error is made when a false null is adopted. Here, we fail to reject a false null. In the scenario above, type 11 error will be made if we fail to reject the claim that proportion of People who write with their left hand is 0.32, when the proportion is correctly not 0.32
Find the sum and express it in simplest form.
(-6b²2b-1) + (-2b² + 4b)
100
Clear all
Enter the correct answer.
000
DONE
Answer:
-8b^2 + 4b
Step-by-step explanation:
To simplify the expression (-6b^2 2b-1) + (-2b^2 + 4b), we need to combine like terms.
First, let's distribute the negative sign to the terms inside the first set of parentheses:
(-6b^2) + (-2b^1) = -6b^2 - 2b^1
Now let's combine the terms inside the second set of parentheses:
(-2b^2) + (4b) = -2b^2 + 4b
Finally, let's add the two expressions:
(-6b^2 - 2b^1) + (-2b^2 + 4b) = -6b^2 - 2b^1 - 2b^2 + 4b
Simplifying, we get:
-8b^2 + 4b = -8b^2 + 4b
The final simplified expression is: -8b^2 + 4b.
this is one of my homework questions, please help me work through it if you can :)
1) Note that we'll make use of the following formulas:
\(\begin{gathered} r^2=x^2+y^2 \\ r^2=3^2+0^2 \\ r^2=9 \\ \sqrt[]{r}=\sqrt[]{9} \\ r=-3,3 \\ r=3 \end{gathered}\)So the radius according to the text must be positive, so we can discard the negative value.
2) Now the angle theta:
\(\tan (\theta)=\frac{y}{x}=\frac{0}{3}=Undefined\)Since this is undefined, we can state that
3) So we can state the Polar Coordinates as:
\(P(3,0)\)