Answer:
It is Letter C.Because i took the test.
Step-by-step explanation:
Which of the following choices name the sides of DGF?
Answer:
Second choice GD and GF with the LINE symbol over each
Step-by-step explanation:
Angle named DGF means that G ( in the middle) is the vertex so GD would be a line starting at G going out toward D and G F would be a line starting at G going out to F
please explain how you get your answer!! Thanks :) questions below:
What is the simplified expression for 4^-3 x 3^4 x 4^2/3^5 x 4^-2
A. 3/4
B. 4/3
C. 4^2/3
D. 3^3/4
Step-by-step explanation:
4^2/3
but I got 4^-3/3
hope help ful
(05.05) On a coordinate plane the coordinates of vertices R and T for a polygon are R(-7, 3) and T(3,3). What is the length of Side RT of the polygon?
4 units
6 unts
10 units
15 units
PLEASE HELP!!
Answer:
c) 10 units
The length of side RT of the polygon RT = 10
Step-by-step explanation:
Step(i):-
Given the coordinates of vertices R and T
R( -7 ,3) and T (3 ,3)
we have to find the length of side RT
We will use distance formula
RT = \(\sqrt{(x_{2} -x_{1})^{2} +(y_{2} -y_{1} )^{2} }\)
Step(ii):-
RT \(= \sqrt{(3-3)^{2} +(3-(-7))^{2} }\)
\(RT = \sqrt{0+(10)^{2} }\)
RT = √100
RT = 10
The length of side RT of the polygon RT = 10
Hi can any one teach me this constant difference
The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).
How do you find the constant difference in a sequence of numbers?In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.
Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.
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Which of the following most clearly defines an undefined geometric object? (Click picture).
Answer:
A is the correct answer
ANSWER FAST!!!
1) which family member ate the most pizza?
2) if the company offered an extra large pizza, how could you find out how much of it a person ate if they cut their own piece with a central angle of M?
1. Andy's oldest daughter ate the most pizza. She ate the entire personal pizza, which is 10 inches in diameter
2. If the company offered an extra large pizza, you could find out how much of it a person ate if they cut their own piece with a central angle of M°
How to calculate the valueAndy's oldest daughter ate the most pizza. She ate the entire personal pizza, which is 10 inches in diameter. This means that she ate 100% of the pizza. Andy's wife ate 2/6 of the small pizza, which is 12 inches in diameter. This means that she ate 1/3 of the pizza. Andy's younger daughter ate 1/8 of the medium pizza, which is 14 inches in diameter.
This means that she ate 12.5% of the pizza. Andy cut himself a piece that had a central angle of 180° from the large pizza, which is 16 inches in diameter. This means that he ate 50% of the pizza.
The least amount of pizza was eaten by Andy's younger daughter. She only ate 1/8 of the medium pizza.
2. If the company offered an extra large pizza, you could find out how much of it a person ate if they cut their own piece with a central angle of M° by using the following formula:
Percentage of pizza eaten = (M° / 360°) * 100%
For example, if a person cut themselves a piece of an extra large pizza with a central angle of 180°, they would have eaten 50% of the pizza.
Percentage of pizza eaten = (180° / 360°) * 100% = 50%
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Estimate the difference of 25.92 - 5 4/10
Answer: 20 \(\frac{1}{2}\)
Step-by-step explanation:
First of all, 5 \(\frac{4}{10}\) = 5.4
Remember, 1/10 = 0.1, 2/10 = 0.2, and so on.
This means we can change the equation to 25.92 - 5.4, which gives us 20.52.
This is close to 20.50, which is equivalent to 20 \(\frac{5}{10}\), which is equivalent to 20 \(\frac{1}{2}\).
Kareem borrowed money from a credit union for 6 years and was charged simple interest at an annual rate of 8%. The total interest that he paid was $240 . How much money did he borrow?
Answer:
I think 220.8
Step-by-step explanation:
TRICK QUESTION BE CAREFUL
Answer:
Just a guess, 65?
Step-by-step explanation:
This looks fun. I shall try it.
63-17 = 46
46 + 19 = 65.
How would you do these questions?
Step-by-step explanation:
1. P(light OR domestic) = P(light) + P(domestic) − P(light AND domestic)
P(light OR domestic) = 0.62 + 0.70 − 0.55
P(light OR domestic) = 0.77
2. P(light AND not domestic) = P(light) − P(light AND domestic)
P(light AND not domestic) = 0.62 − 0.55
P(light AND not domestic) = 0.07
3. P(light GIVEN not domestic) = P(light AND not domestic) / P(not domestic)
P(light GIVEN not domestic) = 0.07 / (1 − 0.70)
P(light GIVEN not domestic) = 0.233
4. Two events are independent if P(A) × P(B) = P(A and B).
P(light) × P(domestic) = 0.62 × 0.70 = 0.434
P(light AND domestic) = 0.55
Therefore, the type and location are not independent.
Two pools are being drained. To start, the first pool had 3650 liters of water and the second pool had 4166 liters of water. Water is being drained from the first pool at a rate of 27 liters per minute. Water is being drained from the second pool at a rate of 39 liters per minute. Let be the number of minutes water has been drained. (a) For each pool, write an expression for the amount of water in the pool after minutes. (b) Write an equation to show when the two pools would have the same amount of water.
Step-by-step explanation:
(a) Let's start with the first pool. It has 3650 liters of water. For every minute, 27 liters are being drained. Thus, we can write its equation as 3650 liters - 27 liters per minute = end amount of liters. If we write minutes as m, we can say 3650-27m is our expression. Similarly, for the second one, we have 4166-39m as our answer
(b) For this, we just have to make the two expressions equal, so
4166-39m = 3650-27m
The solution is:
(a)
Amount of water in the first pool (in liters) = 3650 liters - 27 liters per minute * x minutes
Amount of water in the second pool (in liters) = 4166 liters - 39 liters per minute * x minutes
(b)
3650 liters - 27 liters per minute * x minutes= 4166 liters - 39 liters per minute * x minutes
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here, we have,
(a) With x being the minutes after which you want to calculate the amount of water in the pool, to calculate this amount of water you must subtract the water drained from the initial amount of water that the pool contains.
Knowing that, for example, the water from the first pool drains at a rate of 27 liters per minute, then after x minutes, the total water drained will be 27 liters per minute * x minutes. Then:
Amount of water in the first pool (in liters) = 3650 liters - 27 liters per minute * x minutes
Reasoning in the same way:
Amount of water in the second pool (in liters) = 4166 liters - 39 liters per minute * x minutes
(b) Now want to know when the two pools would have the same amount of water. If they have the same amount of water then you can express:
Amount of water in the first pool = Amount of water in the second pool
Replacing the expressions found in (a):
3650 liters - 27 liters per minute * x minutes= 4166 liters - 39 liters per minute * x minutes
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How much would Gwen and Lisa have to buy if they also had to replace the fence on their pool? Show how you found the answer.
To accurately determine the amount they would have to buy, we would need the specific measurements of the pool, the desired fence height and any other requirements they have.
To determine how much Gwen and Lisa would have to buy to replace the fence on their pool, we would need more specific information about the pool's dimensions, the type of fence they want, and any other relevant details.
Let's consider some factors that could affect the amount they would need to purchase:
Perimeter of the pool:
The length of the fence required would depend on the perimeter of the pool.
If we know the dimensions of the pool, we can calculate its perimeter by adding up the lengths of all sides.
Fence height:
The height of the fence is another important factor. Depending on local regulations or personal preferences, Gwen and Lisa might need a specific height for their pool fence.
This would determine the length of fencing material they need to purchase.
Fence type and style:
Different types of fences, such as chain-link, wood, vinyl, or wrought iron, have varying costs and installation requirements.
The choice of fence material and style will impact the amount they would have to buy.
Gates and openings:
If Gwen and Lisa require gates or openings in the fence, they would need to account for these as well.
The number and size of gates would affect the total amount of fencing material needed.
With these details, we can calculate the perimeter, account for gates and openings and factor in the material type and style to provide an estimate of the amount of fencing they need to purchase.
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Solve the equation: x²-2x=8
Show all the Steps with explanation.
Answer:
x = 4, -2
Step-by-step explanation:
x^2-2x=8
Move the constant term to the right side of the equation.
x^2 - 2x = 8
Take half of the coefficient of x and square it.
(-2/2)^2 = 1
Add the square to both sides of the equation.
x^2 - 2x + 1 = 8 + 1
Factor the perfect square trinomial.
(x - 1)^2 = 9
Take the square root of both sides of the equation.
x-1=\(\sqrt{9}\)
x-1=±3
Isolate x to find the solutions.
Taking positive
x=3+1=4
x=4
Taking negative
x=-3+1
x=-2
The solutions are:
x = 4, -2
Answer:
\(x = -2,\;\;x=4\)
Step-by-step explanation:
To solve the quadratic equation x² - 2x = 8 by factoring, subtract 8 from both sides of the equation so that it is in the form ax² + bx + c = 0:
\(x^2-2x-8=8-8\)
\(x^2-2x-8=0\)
Find two numbers whose product is equal to the product of the coefficient of the x²-term and the constant term, and whose sum is equal to the coefficient of the x-term.
The two numbers whose product is -8 and sum is -2 are -4 and 2.
Rewrite the coefficient of the middle term as the sum of these two numbers:
\(x^2-4x+2x-8=0\)
Factor the first two terms and the last two terms separately:
\(x(x-4)+2(x-4)=0\)
Factor out the common term (x - 4):
\((x+2)(x-4)=0\)
Apply the zero-product property:
\(x+2=0 \implies x=-2\)
\(x-4=0 \implies x=4\)
Therefore, the solutions to the given quadratic equation are:
\(\boxed{x = -2,\;\;x=4}\)
Which statement is true regarding the parallel and perpendicular lines in the diagram? k Parallel to n and w Perpendicular to m k Parallel to n and n Perpendicular to m w Parallel to n and n Perpendicular to m w Parallel to n and wPerpendicular to m
Answer:
Based on the diagram, we can see that there are four lines: k, n, w, and m. The relationship between these lines is important in understanding their geometric properties.
We can see that line k and line n are both straight lines and never intersect, which means they are parallel to each other. This is indicated by the two small arrows on line k and line n that are pointing in the same direction.
On the other hand, line w intersects line m at a right angle (90 degrees). This means that line w is perpendicular to line m. This is indicated by the small square in the corner where line w and line m meet.
Understanding parallel and perpendicular lines is important in many areas of mathematics and science, such as geometry, trigonometry, physics, and engineering.
Step-by-step explanation:
Answer:
The correct statement is: w is parallel to n and w is perpendicular to m.
Step-by-step explanation:
what is the slope of this graph
Answer:
top down:
8/2
8/4
2/4
Step-by-step explanation:
it's rise over run, with each block equalling 2
Graph the function rule
Y= -3/4 x-1
When 12 is divided by which statement about the quotient is true?
A
Answer:
Step-by-step explanation:
Can someone please tell me if this is a function and also provide a easy explanation on how it is the answer? (30 pts)
The relationship in the figure is a function because each input has only one output to which they are linked
What is a function?A function is a definition or rule that maps each element in a set of input values to exactly one element in a set output values.
The data in the sets can be presented as follows;
x \({}\) f(x)
-1 \({}\) → 2
0\({}\) → 2
1\({}\) → -3
2\({}\) → -2
8\({}\) → 3
The above table indicates that each x-value has only one f(x) value, which indicates that the relationship s a function. The relationship is still a function with the presence of an f(x) value, 2, having two x values, -1 and 0, as the condition satisfies the definition of a function.
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Do not put any punctuation (other than a necessary decimal place) or spaces into your answer.
When Claudia borrowed $6400 at 11% compounded semiannually for three years, the value of the rate per period was
Caludia needs to pay 2917.6128 as a payment of compound interest capital+interest.
What is compound interest?
compound interest is interest on principal + interest and this denotes to the addition of interest to the principal amount of a loan or deposit.
Capital(p) = $6400
Rate of interest(r) = 11%
Years(n) = 3
The general formula of compound interest is \(A= p(1+\frac{r}{100}})^n\).
Now
\(A= 6400(1+\frac{11}{100}})^3\\A=6400 \times \frac{111}{100} \times \frac{111}{100} \times \frac{111}{100}\\A= 8752.8384\)
The entire amount (Capital+interest) is equal to $8752.8384.
If we take 1 year as a period then Claudia needs to pay \(\frac{8752.8384}{3}\\=2917.6128\)
Therefore, Claudia needs to pay 2917.6128 as a payment of compound interest capital+interest.
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7.) According to the quantity equation, changes in the money supply will lead directly to
changes in the price level if velocity and real GDP are unaffected by the change in the
money supply. Will velocity change over time? What factors might lead to changes in
velocity? Are those changes related to changes in the money supply?
According to the quantity theory of money, changes in the money supply will lead directly to changes in the price level if velocity and real GDP are unaffected by the change in the money supply.Velocity can change over time, and changes in velocity may be caused by various factors.
For example, changes in velocity can be caused by shifts in payment practices, changes in the use of credit, changes in the availability of bank deposits or cash, or shifts in demand patterns.Changes in velocity may be related to changes in the money supply.
For example, if the money supply increases, the demand for money may increase, causing the velocity of money to decrease. Conversely, if the money supply decreases, the demand for money may decrease, causing the velocity of money to increase.
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Among all pairs of numbers whose sum is 24, find a pair whose product is as large as possible. Show the work(the steps)! Write an equation of the corresponding quadratic function. How parabola opens? What is the maximum product? Does this function has a maximum value or the minimum value? Explain. Graph the function and upload the image.
The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.
To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.
Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.
To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:
P(x) = x(24 - x)
This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.
The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.
To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.
Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.
So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.
Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.
To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]
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What is the slop of the line contains points (1,1) and (5,-5) write a answer as friction as simplest from (hint 2/1 should be simplified to 2)
Answer:
\(-\frac{3}{2}\)
Step-by-step explanation:
Given parameters:
Points = (1,1) and (5,-5)
Unknown:
Slope = ?
Solution:
The slope of the a line is the ratio of the rise of a line to its run.
Slope = \(\frac{y_{2} - y_{1} }{x_{2} - x_{1} }\)
x1 = 1
y1 = 1
x2 = 5
y2 = -5
Insert the parameters and solve;
Slope = \(\frac{-5 - 1}{5-1}\) = \(\frac{-6}{4}\) = \(-\frac{3}{2}\)
Two parallel lines are crossed by a transversal.
What is the value of d?
The value of d in the image that shows the two parallel lines that are crossed by the transversal is determined as: 125°.
What is a Transversal?In geometry, a transversal is a line that intersects two or more other lines at distinct points. When a transversal intersects a pair of parallel lines, it creates various angles and relationships between those angles.
The image attached below shows the two parallel lines which are crossed by the transversal, where angle d and 125° are vertical angles.
Since they are vertical angles, they will be equal or congruent to each other. Therefore, the value of d = 125°
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An oil refinery is located 1 km north of the north bank of a straight river that is 2 km wide. A pipeline is to be constructed from the refinery to storage tanks located on the south bank of the river 7 km east of the refinery. The cost of laying pipe is $300,000 per km over land to a point P on the north bank and $600,000 per km under the river to the tanks. To minimize the cost of the pipeline, how far downriver from the refinery should the point P be located? (Round the answer to two decimal places.)
We can describe 3x- 2 as an expression. How can we describe the parts of the expression that the arrows point to? 3x- 2
Step-by-step explanation:
3x - 2 is formatted in the formula y = mx + c
To substitute for 3x - 2
y = 3x -2
A(n) ________ hypothesis is a statistical hypothesis that is tested for possible rejection under the assumption that it is true. g
Answer: A null hypothesis is a statistical hypothesis that is tested for possible rejection under the assumption that it is true.
Step-by-step explanation:
The null hypothesis\((H_0)\) and alternative hypothesis\((H_a)\) both are statements as per the researcher's claim that involves population parameter .
Null hypothesis has ≤,≥ ,= signs
Alternative hypotheses has < , > , ≠ signs.
A null hypothesis is a statistical hypothesis that is tested for possible rejection under the assumption that it is true.
Select all the expressions that have a value of 40 when x = 10.8.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete. However, you can make use of the following tips to answer your question.
We have that:
\(x = 10.8\)
\(x + 29.2 = 40\)
because
\(10.8 + 29.2 = 40\)
Another possible expression is:
\(50.8 - x = 40\)
This is so, because:
\(50.8 - 10.8 = 40\)
Another one is:
\(2x + 18.4 = 40\)
This is so because:
\(2 * 10.8 + 18.4 = 40\)
So, all you need to do is to substitute 10.8 for x in the given expression,
If the solution equates to 40, then that's your answer
Suppose that c is a number for which the equation c÷c = 1 is false. What is c?
How many solutions does 73x-37=73x -37
Answer:
0 is the answer.
73x -73x = -37+37
0=0
Evaluate the function g(t)=23t, when t = 30.
Question 2 options:
A 10
B 25
C 20
D 15