Answer:
7/20
Step-by-step explanation:
because it is 2 minutes of news for every/ 20 minutes of music.
The answer is 7/20.
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
here, we have,
given that,
local radio station WMTH schedules 2 minutes of news for every 20 minutes of music
now, we get,
because it is 2 minutes of news for every/ 20 minutes of music.
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70√201 please give me your answer
Answer:
992.42
Step-by-step explanation:
consider a tree that is 50 m tall and is transpiring roughly 90 liters of water each day. approximately how many calories will the tree use to transpire this quantity of water?
In linear equation , A tree that is 50m tall and is transpiring roughly 90liters of water each day. So 0 calorie will the tree use to transpire this quantity of water .
What is linear equation explain with example?
An equation with only one variable is referred to as a linear equation in one variable.It has the mathematical formula Ax + B = 0, where A and B can be any two real numbers, and x is an unknowable variable with just one possible value. One such linear equation in one variable is 9x + 78 = 18.What makes an equation linear?
A linear equation's graph almost always takes the shape of a straight line. Definition of a Linear Equation: When a linear equation is graphed, it always produces a straight line because each term in the equation has an exponent of 1. It is called a "linear equation" for this reason.Learn more about linear equation
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Line segments AB and CD bisect cach other at point K(6, 4). Which could be the coordinates of points A, B, C, and D ?
A. A(2, 1), B(4,3), C(1, 1), D(5,0)
C. A(3, 2), B(9,6), C(2, 6), D(4,0)
B. 1(-1. 3), B(13, 5), ((4. 7), D(8,1) D. A(-2, -1), B(10, 13), C(2, 9), D(6, 3)
Some explanation would be greatly appreciated
The correct coordinates for points A, B, C, and D, such that line segments AB and CD bisect each other at point K(6, 4), are A(3, 2), B(9, 6), C(2, 6), and D(4, 0).
The point of intersection K(6, 4) is the midpoint of both line segments AB and CD since they bisect each other. This means that the x-coordinate of point K is the average of the x-coordinates of points A and B, and the y-coordinate of point K is the average of the y-coordinates of points C and D.
Looking at the given options, only option C satisfies this condition. A(3, 2) and B(9, 6) have an average of 6 for the x-coordinate, while C(2, 6) and D(4, 0) have an average of 6 for the y-coordinate. Thus, option C is the correct answer.
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Which of the following is true with respect to use of the linear regression model to accommodate non-linear relationships? Select all correct answers.
-The linear regression model may be extended to accommodate some forms of non-linear relationships between the response and predictor(s).
-Some forms of non-linear relationships may be accommodated in a linear model if we include transformed versions of the predictor(s).
-Polynomial regression is one method for incorporating non-linear associations in a linear model.
The linear regression model can be extended to accommodate certain forms of non-linear relationships between the response and predictor(s). Polynomial regression is one specific method for incorporating non-linear associations within the linear regression framework.
It involves understanding the flexibility of the linear regression model and the techniques available to address non-linear relationships. While the linear regression model assumes a linear relationship between the response variable and predictors, it can still be useful in accommodating certain types of non-linear relationships.
By applying appropriate transformations to the predictor variables, such as taking their squares, logarithms, or other non-linear functions, we can introduce non-linear associations into the linear regression model. This allows the model to capture curvature or other non-linear patterns in the data.
Polynomial regression is a specific approach to incorporating non-linear relationships within the linear regression framework. It involves adding polynomial terms of the predictor variables to the model, such as squared or cubed terms. By including these polynomial terms, the model can account for non-linear relationships and capture more complex patterns.
It's important to note that while linear regression can be extended to accommodate some non-linear relationships, there may be cases where more advanced non-linear regression techniques or alternative models are necessary to adequately capture complex non-linear associations. Nonetheless, the inclusion of transformed predictor variables and the use of polynomial regression are valuable approaches to address non-linear relationships within the linear regression framework.
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Which statement is NOT true concerning the graphing of a linear system?
------------------------------------------------------------------------------------------------------------------------------
Systems of linear equations that contain coordinates with fractions or decimals can be challenging.
You need to be careful and plot straight lines.
You can only graph a system of linear equations with a graphing calculator.
The point of intersection of lines that intersect at a shallow angle is difficult to determine.
You can only graph a system of linear equations.
10 Jim was thinking of a number. Jim subtracts 14 from it and gets an answer of 43.9. What was the original number?
57.9 add 14 to the answer and you get your number
Find the value of -7 - 8 - (-8) - 7.
A) -30
B) 14
C) 0
D) -14
What is the area of this parallelogram?
A. 60 cm²
B. 66 cm²
C. 72 cm²
D. 132 cm²
PLS HELP I'LL GIVE BRAINLIST!!
Answer:
132, (D)
Step-by-step explanation:
area = base * height
= (5 + 6) * 12 = 11 * 12 = 132
Answer:
The answer is D, 132 cm^2! Brainleist pls!
find the length of the hypotenuse if both legs of the right triangle are 3
Answer:
h = 3\(\sqrt{2}\)
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 legs.
let h represent the hypotenuse , then
h² = 3² + 3² = 9 + 9 = 18 ( take square root of both sides )
h = \(\sqrt{18}\) = \(\sqrt{9(2)}\) = \(\sqrt{9}\) × \(\sqrt{2}\) = 3\(\sqrt{2}\) ← exact value
or h ≈ 4.24 ( to 2 decimal places )
a motorboat travels 190 miles in 5 hours going upstream. It travels 270 miles going Downstream in the same amount of time what is the rate of the boat in still water and what is the rate of the current
To find the rate of the boat you divide the distance by the time:
\(r=\frac{d}{t}\)Going upstream is s
Pls help. Will give Brainlyist
Answer:
a
Step-by-step explanation:
dilation means to expand, and the small square is expanding to twice its size, so 2
Examine the system of equations. −3x y = 4, −9x 5y = −1 what is the solution? ( , )
The system of equations -3x + y = 4 and -9x + 5y = -1 has the solution (-3.5 , -6.5).
A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations. This is what is called as the solution.
Given two equations in x and y,
-3x + y = 4 (equation 1)
-9x + 5y = -1 (equation 2)
Rewrite equation 1 as an equation of y and substitute to equation 2.
(equation 1) -3x + y = 4 ⇒ y = 3x + 4
-9x + 5y = -1 (equation 2)
-9x + 5(3x + 4) = -1
-9x + 15x + 20 = -1
6x = -21
x = -3.5
Substitute the value of x in equation of y and solve for y.
y = 3x + 4
y = 3(-3.5) + 4
y = -6.5
Hence, the solution to the following system of equations is (-3.5 , -6.5).
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Answer:
(-3.5 , -6.5)
Step-by-step explanation:
Which statement about the graphs is true? NEED HELP!
Graph A is a valid density curve because the part of the graph from 2 to 6 is below the horizontal axis.
Graph A is not a valid density curve because the part of the graph from 1 to 2 is above the horizontal axis.
Graph B is not a valid density curve because part of the horizontal axis has negative values.
Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.
Answer:
Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.
Step-by-step explanation:
A density curve is a graph that shows probability.
There are a few properties that those curves have:
The curves are normalized, which means that the area inside the curve is always equal to 1 (or the 100% of possibilities).
And the probabilities are always defined with positive numbers between 0 and 1, which means that we can not have a density curve with elements below the horizontal axis.
From this, we can conclude that graph A is not a density curve (but neither of the two given options for graph A are correct, then we can discard these).
Now let's look at graph B.
We can see that all points are above the horizontal axis, so that is good.
Now let's compute the area inside the curve.
We can see two triangles, remember that the area of a triangle of base b and height h is:
A = (b*h)/2
To calculate the base in the image, just take the difference between the rightmost vertex and the left vertex.
The base of the left triangle is b = (-3 - (-5)) = 2, and the height is h = 0.25
Then the area is:
A1 = (2*0.25)/2 = 0.25
The base of the right triangle is b = (3 - (-3)) = 6, and the height is h = 0.25
Then the area of this triangle is:
A2 = (6*0.25)/2 = 0.75
If add these areas, we get:
Total area = A1 + A2 = 0.25 + 0.75 = 1
Total area = 1
So we have an area under the curve equal to 1, which means that graph B is a valid density curve.
And the correct option is then:
Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.
A square measures 8cm to the nearest
cm. What is the largest and smallest
possible area of the square?
Answer: smallest area- 56.25cm2 largest area- 70.56cm2
Where is the graph of f(x)=4[x-3]+2 discontinuos
Answer:
Below
Step-by-step explanation:
4 [x-3] + 2 = y is not discontinuous anywhere
However 4 / [x-3] + 2 DOES have a discontinuity at x = 3 because this would cause the denominator to be zero <===NOT allowed !!
PLEASE HELP!! INFO IS IN PIC. WILL GIVE BRAINLIEST!!
The trigonometry function represented on the graph is
y = -0.5 sin (4x - π/2 ) - 1How to write the trigonometry functionSine waves or sinusoidal waves are the graphs of functions that are defined by the equation y = sin x.
The graph repeats itself as it advances along the x-axis, as you can see. Periods are the cycles of this predictable repetition. Every 6.28 units, or 2 pi radians, this graph repeats.
How to interpret sine graph
The sine graph in the problem starts at (0, 0)
The equation is y = -0.5 sin (4x - π/2 ) - 1
The amplitude of the graph is 0.5The negative sign reverts the curveThe graph completes 4reolutions in 2πThe phase shift is π/2 to the leftA translation down one unitLearn more on sine graphs at:
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Please answer the question below
Answer:
19
Step-by-step explanation:
The area of this trapezium is 48cm2.
Work out .
5cm
5cm
4cm
X
Answer:
This is your answer ☺️☺️
Value of x is 19 cm.
What is area of trapezium?The area of a trapezium is defined as the number of unit squares that can fit into it . The area of a trapezium can be calculated using the lengths of two of its parallel sides and the distance (height) between them. The formula to calculate the area (A) of a trapezium using base and height is given as,
A = ½ (a + b) h where,
a and b = bases of trapezium, and,
h = height (the perpendicular distance between a and b)
Given
Area of trapezium = 48 \(cm^{2}\)
Area of trapezium = \(\frac{(AB+DC).h}{2}\)
48 = \(\frac{(AB+DC).h}{2}\)
⇒ 48 = \(\frac{(5+x).(4)}{2}\)
⇒ 96 = (5+x).4
⇒ 5 + x = \(\frac{96}{4}\)
⇒ 5 + x = 24
⇒ x = 24 - 5
⇒ x = 19 cm
Hence, Value of x is 19 cm.
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NEED HELP ASAP WILL GIVE BRAINLIESTfor which values of x does each expression make sense?sqrt x+5
Answer:
can I see a picture? so I can try & help u
Answer:
x≥-5
Step-by-step explanation:
A pair of weak earthquakes are modeled by nonlinear inequalities. One earthquake occurred roughly 15 km south and 18 km west of the center of Salt Lake City, Utah. The quake could be felt 16 km away. A couple of days later another earthquake occurred 9 km north and 4 km east of the center of Salt Lake City and could be felt 21 km away. If Salt Lake City is located at (0, 0) on a coordinate grid, the system below represents this scenario.
StartLayout Enlarged Left-brace first row (x + 18) squared + (y + 15) squared less-than-or-equal-to 256 Second row (x minus 4) squared + (y minus 9) squared less-than-or-equal-to 441 EndLayout
Which location in relation to Salt Lake City felt both earthquakes?
12 km east and 2 km north
12 km east and 2 km south
12 km west and 2 km north
12 km west and 2 km south
2 km east and 10 km north
Step-by-step explanation:
I did the activity and got the right answer.
Answer: 12km west and 2km south
Step-by-step explanation:
Just did it
Find an equation for the line tangent to the curve y=(x+5)(x4−9) at x=1 y= -/1 Points] Consider the function f(x)=x2−15x+4. Determine the number of points on the graph of y=f(x) that have a horizontal tangent line. In other words, determine the number of solutions to f′(x)=0. Determine the values of x at which f(x) has a horizontal tangent line. Enter your answer as a comma-separated list of values. The order of the values does not matter. Enter DNE if f(x) does not have any horizontal tangent lines.
The number of points on the graph of y = f(x) that have a horizontal tangent line is 1.The value of x at which f(x) has a horizontal tangent line is 15/2.
For the given equation y=(x+5)(x4−9),
we need to find an equation for the line tangent to the curve at x=1.
As per the given equation,
y=(x+5)(x4−9)
y=x⁴+5x³-9x+45x⁴+5x³-9x+45
y' = 4x³+15x²-9
Now, put x = 1 in y', we get:
y'(1) = 4(1)³+15(1)²-9
= 4+15-9
= 10
Hence, the slope of tangent to the curve at x = 1 is 10.
Now, we have a point (1, -64) and slope 10, use point slope form:
y-y₁=m(x-x₁)y-(-64)
= 10(x-1)y
= 10x - 74
Therefore, the equation of the line tangent to the curve
y=(x+5)(x4−9) at x=1 is
y = 10x - 74
Moving to the second part of the question, Consider the function
f(x)=x²−15x+4.
Now, find f'(x) first:
f'(x) = 2x-15
Now, for horizontal tangent lines, f'(x) = 0.
Hence:
2x-15 = 0
x = 15/2
Hence, the only point on the graph of y = f(x) that has a horizontal tangent line is (15/2, -161/4)
Therefore, the number of points on the graph of y = f(x) that have a horizontal tangent line is 1.The value of x at which f(x) has a horizontal tangent line is 15/2.
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Anne cycles 2 kilometers during each trip to work. How many trips will Anne have to make
to cycle a total of 12 kilometers?
Answer:
6 trips just to work but its 3 for round trip
Ms. Lauren Alexander, supply chain manager of ACR, Inc., is negotiating a contract to buy 25,000 units of a common component from a global supplier. Ms. Alexander conducted a thorough cost analysis on manufacturing the part in-house and determined that she would need $450,000 in capital equipment and incur a variable cost of $19.00 per unit to manufacture the part in-house. There is no fixed cost in purchasing the component from the supplier. What is the maximum purchase price per unit of component that Ms. Alexander should negotiate with her supplier?
The maximum purchase price per unit of the component that Ms. Alexander should negotiate with her supplier is $19.00, which is equal to the variable cost per unit to manufacture the part in-house.
In this scenario, Ms. Alexander needs to determine the maximum price per unit that she should be willing to pay the supplier for the component. She conducted a cost analysis and found that manufacturing the part in-house would require $450,000 in capital equipment and have a variable cost of $19.00 per unit.
Since there is no fixed cost associated with purchasing the component from the supplier, the maximum purchase price per unit should not exceed the variable cost per unit of manufacturing in-house. This ensures that the company does not incur additional costs by outsourcing the component.
Therefore, Ms. Alexander should negotiate a price with the supplier that is equal to or lower than the variable cost per unit, which is $19.00. By doing so, the company can avoid the initial capital investment and ongoing variable costs associated with in-house production, making it more cost-effective to purchase the component from the supplier.
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Find the sum and product of the roots.
3x^2 - 4x - 7 = 0
\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)
Here we go ~
The given quadratic equation is in form :
\(\qquad \sf \dashrightarrow \: a {x}^{2} + bx + c = 0\)
and here,
a = 3b = -4 c = -7As we know, Sum of roots equals :
\(\qquad \sf \dashrightarrow \: - \cfrac{b}{a} \)
\(\qquad \sf \dashrightarrow \: - \cfrac{ (- 4)}{3} \)
\(\qquad \sf \dashrightarrow \: \cfrac{ 4}{3} \)
And that of product of roots :
\(\qquad \sf \dashrightarrow \: \cfrac{c}{a} \)
\(\qquad \sf \dashrightarrow \: \cfrac{ - 7}{3} \)
Which graph shows the solution to y > 3x - 4 and y ≤ x + 1
Let's start graphing the first inequality y > 3x - 4. Since this is already in its slope-intercept form, we can see right away that the y-intercept of its boundary line is at (0, -4) and the slope is 3.
Aside from the y-intercept, let's find another point on the line using the slope. We will add 3 on the y-coordinate of the y-intercept and add 1 on the x-coordinate.
\(\begin{gathered} 0+1=1 \\ -4+3=-1 \end{gathered}\)Hence, we have another point on the boundary line at (1, -1).
Let's plot these two points (0, -4) and (1, -1) and connect them using a dashed line since the inequality is "greater than". Also, the shade of the graph will be above the line.
The graph of the first inequality y > 3x - 4 is:
Moving on to the second inequality y ≤ x + 1, the y-intercept is at (0, 1) and the slope is 1.
Let's find another point on the line using the slope by adding 1 on the y-coordinate of the y-intercept and 1 on the x-coordinate.
\(\begin{gathered} 0+1=1 \\ 1+1=2 \end{gathered}\)Therefore, we have another point on the line at (1, 2).
Let's plot these points (0, 1) and (1, 2) on the graph. Connect them using a solid line because the inequality symbol has "or equal to". The shade of the graph will be below the line since the inequality symbol is "less than".
The graph of the second inequality y ≤ x + 1 is:
Combining the two graphs, we have:
The solution to the two inequalities would be the common shaded region, hence, in the diagram, it will be the darker shade.
Based on the given choices, this is shown by Option D.
Find the product of 32 and 46. Now reverse the digits and find the product of 23 and 64. The products are the same!
Does this happen with any pair of two-digit numbers? Find two other pairs of two-digit numbers that have this property.
Is there a way to tell (without doing the arithmetic) if a given pair of two-digit numbers will have this property?
Let's calculate the products and check if they indeed have the same value:
Product of 32 and 46:
32 * 46 = 1,472
Reverse the digits of 23 and 64:
23 * 64 = 1,472
As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.
To find two other pairs of two-digit numbers that have this property, we can explore a few examples:
Product of 13 and 62:
13 * 62 = 806
Reversed digits: 31 * 26 = 806
Product of 17 and 83:
17 * 83 = 1,411
Reversed digits: 71 * 38 = 1,411
As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.
For example, let's consider the pair 25 and 79:
A = 2, B = 5, C = 7, D = 9
The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.
Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.
(1+5 2 )−16( 2 1 ) 3 =
Answer:
The answer is -955.
Step-by-step explanation:
1+52−(16)(21)(3)
53−(16)(21)(3)
53−(336)(3)
53−1008
−955
the amount of food prepared for a catered event depends on the number of people attending. which variable is the explanatory variable? [1 point]
The number of people attending affects how much food is prepared for a catered event. The number of people attending is the explanatory variable in this scenario.
One kind of independent variable is an explanatory variable. Both words are frequently used interchangeably. This is the variable that changes as we change it or watch it change. In other words, it is a factor that a researcher has changed in an experiment.
In the given situation, the number of people attending is an explanatory variable and the amount of food prepared is a dependent variable. As the number of people attending increases, the amount of food prepared also increases. This means the effect of one variable alters the effect of another variable. The change of one variable is called an independent variable while the change that occurs because of the independent variable is a dependent variable.
Therefore, the required answer is the number of people attending.
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Scott picked x pound of blueberries from a local farm , he gave 3 pounds of his pick to his brother , dean . he shared the remaining blueberries equally with his sister Georgia he now has 5 pounds of blueberries
Scott picked x pounds of blueberries from a local farm and if Scott picked x pounds of blueberries, he now has 5 pounds, so x = 5(2) = 10 pounds.
What is pounds ?Pounds is a unit of mass or weight used in the imperial and United States customary systems of measurement. It is equal to 16 ounces or 0.45 kilograms. In the United Kingdom and the other countries that use the imperial system of measurement, it is the standard unit used to measure the weight of people, animals and other objects. In the United States, the pound is often referred to as the avoirdupois pound to differentiate it from other units of measure.
He gave 3 pounds of his pick to his brother, Dean. This leaves x-3 pounds of blueberries. He then shared the remaining blueberries equally with his sister Georgia, so each of them got (x-3)/2 pounds of blueberries. This means that Scott has (x-3)/2 + 3 = (x+3)/2 pounds of blueberries. Therefore, if Scott picked x pounds of blueberries, he now has 5 pounds, so x = 5(2) = 10 pounds.
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A school assembly had 40 students in attendance, and 80% of them were first-graders. How many first-
graders were at the assembly?
Answer: 32 first graders were at the assembly
Step-by-step explanation:
80% of 40 can be written as 80% × 40
= 80/100 × 40
= 32
Thus, 80% of 40 is 32.